(%i1) batch("diffeq.max") read and interpret file: /home/dennis/mastersource/mine/omnisode/diffeq.max (%i2) load("stringproc") (%i3) alias(convfloat,float) (%i4) alias(int_trunc,truncate) (%i5) alias(elapsed_time_seconds,elapsed_real_time) (%i6) alias(ln,log) (%i7) alias(arcsin,asin) (%i8) alias(arccos,acos) (%i9) alias(arctan,atan) (%i10) alias(float_abs,abs) (%i11) keepfloat:true (%i12) mode_declare(display_poles(),fixnum) (%i13) mode_declare(est_size_answer(),convfloat) (%i14) mode_declare(test_suggested_h(),convfloat) (%i15) mode_declare(reached_interval(),boolean) (%i16) mode_declare(display_alot([iter],fixnum),fixnum) (%i17) mode_declare(prog_report([x_start],convfloat,[x_end],convfloat),fixnum) (%i18) mode_declare(check_for_pole(),fixnum) (%i19) mode_declare(atomall(),fixnum) (%i20) mode_declare(log10([x],convfloat),convfloat) (%i21) mode_declare(logitem_timestr([fd],fixnum,[secs_in],number),fixnum) (%i22) mode_declare(omniout_timestr(secs_in,number),fixnum) (%i23) mode_declare(zero_ats_ar(ar,array([MAX_TERMS],convfloat)),fixnum) (%i24) mode_declare(ats([mmm_ats],fixnum,[arr_a], completearray([MAX_TERMS],convfloat),[arr_b], completearray([MAX_TERMS],convfloat),[jjj_ats], fixnum),convfloat) (%i25) mode_declare(att([mmm_att],fixnum,[arr_a], completearray([MAX_TERMS],convfloat),[arr_b], completearray([MAX_TERMS],convfloat),[jjj_att], fixnum),convfloat) (%i26) mode_declare(logitem_ditto([file],fixnum),fixnum) (%i27) mode_declare(logitem_integer([file],fixnum,[n],fixnum),fixnum) (%i28) mode_declare(logitem_good_digits([file],fixnum,[relerror],convfloat),fixnum) (%i29) mode_declare(logitem_number([file],fixnum,[x],number),fixnum) (%i30) mode_declare(logitem_pole([file],fixnum,[pole],fixnum),fixnum) (%i31) mode_declare(logstart([file],fixnum),fixnum) (%i32) mode_declare(logend([file],fixnum),fixnum) (%i33) mode_declare(chk_data(),fixnum) (%i34) mode_declare(comp_expect_sec([t_end2],convfloat,[t_start2],convfloat, [t2],convfloat,[clock_sec2],convfloat), convfloat) (%i35) mode_declare(comp_percent([t_end2],convfloat,[start2],convfloat,[t2], convfloat),convfloat) (%i36) mode_declare(comp_rad_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i37) mode_declare(comp_ord_from_ratio([term1],convfloat,[term2],convfloat, [last_no],fixnum),convfloat) (%i38) mode_declare(comp_rad_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i39) mode_declare(comp_ord_from_three_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [last_no],fixnum),convfloat) (%i40) mode_declare(comp_rad_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i41) mode_declare(comp_ord_from_six_terms([term1],convfloat,[term2], convfloat,[term3],convfloat, [term4],convfloat,[term5], convfloat,[term6],convfloat, [last_no],fixnum),convfloat) (%i42) mode_declare(factorial_2([nnn],fixnum),fixnum) (%i43) mode_declare(factorial_1([nnn],fixnum),fixnum) (%i44) mode_declare(factorial_3([mmm],fixnum,[nnn],fixnum),fixnum) (%i45) mode_declare(convfloat([mmm],fixnum),convfloat) (%i46) mode_declare(elaped_time_seconds(),convfloat) (%i47) mode_declare(Si([x],convfloat),convfloat) (%i48) mode_declare(Ci([x],convfloat),convfloat) (%i49) mode_declare(estimated_needed_step_error([x_start],convfloat,[x_end], convfloat,[estimated_h], convfloat,[estimated_answer], convfloat),convfloat) (%i50) mode_declare(my_check_sign([x0],convfloat,[xf],convfloat),convfloat) (%i51) mode_declare(main_prog(),fixnum) (%i52) define_variable(MAX_TERMS,30,fixnum) (%i53) define_variable(glob_iolevel,5,fixnum) (%i54) define_variable(glob_yes_pole,4,fixnum) (%i55) define_variable(glob_no_pole,3,fixnum) (%i56) define_variable(glob_not_given,0,fixnum) (%i57) define_variable(glob_no_sing_tests,4,fixnum) (%i58) define_variable(glob_ratio_test,1,fixnum) (%i59) define_variable(glob_three_term_test,2,fixnum) (%i60) define_variable(glob_six_term_test,3,fixnum) (%i61) define_variable(glob_log_10,log(10.0),convfloat) (%i62) define_variable(ALWAYS,1,fixnum) (%i63) define_variable(INFO,2,fixnum) (%i64) define_variable(DEBUGL,3,fixnum) (%i65) define_variable(DEBUGMASSIVE,4,fixnum) (%i66) define_variable(MAX_UNCHANGED,10,fixnum) (%i67) define_variable(glob_check_sign,1.0,convfloat) (%i68) define_variable(glob_desired_digits_correct,8.0,convfloat) (%i69) define_variable(glob_max_estimated_step_error,0.0,convfloat) (%i70) define_variable(glob_ratio_of_radius,0.1,convfloat) (%i71) define_variable(glob_percent_done,0.0,convfloat) (%i72) define_variable(glob_subiter_method,3,fixnum) (%i73) define_variable(glob_total_exp_sec,0.1,convfloat) (%i74) define_variable(glob_optimal_expect_sec,0.1,convfloat) (%i75) define_variable(glob_estimated_size_answer,100.0,convfloat) (%i76) define_variable(glob_html_log,true,boolean) (%i77) define_variable(glob_good_digits,0,fixnum) (%i78) define_variable(glob_max_opt_iter,10,fixnum) (%i79) define_variable(glob_dump,false,boolean) (%i80) define_variable(glob_djd_debug,true,boolean) (%i81) define_variable(glob_display_flag,true,boolean) (%i82) define_variable(glob_djd_debug2,true,boolean) (%i83) define_variable(glob_h_reason,0,fixnum) (%i84) define_variable(glob_sec_in_minute,60,fixnum) (%i85) define_variable(glob_min_in_hour,60.0,convfloat) (%i86) define_variable(glob_hours_in_day,24.0,convfloat) (%i87) define_variable(glob_days_in_year,365,fixnum) (%i88) define_variable(glob_sec_in_hour,3600,fixnum) (%i89) define_variable(glob_sec_in_day,86400,fixnum) (%i90) define_variable(glob_sec_in_year,31536000,fixnum) (%i91) define_variable(glob_almost_1,0.999,convfloat) (%i92) define_variable(glob_clock_sec,0.0,convfloat) (%i93) define_variable(glob_clock_start_sec,0.0,convfloat) (%i94) define_variable(glob_not_yet_finished,true,boolean) (%i95) define_variable(glob_initial_pass,true,boolean) (%i96) define_variable(glob_not_yet_start_msg,true,boolean) (%i97) define_variable(glob_reached_optimal_h,false,boolean) (%i98) define_variable(glob_optimal_done,false,boolean) (%i99) define_variable(glob_disp_incr,0.1,convfloat) (%i100) define_variable(glob_h,0.1,convfloat) (%i101) define_variable(glob_diff_rc_fm,0.1,convfloat) (%i102) define_variable(glob_diff_rc_fmm1,0.1,convfloat) (%i103) define_variable(glob_diff_rc_fmm2,0.1,convfloat) (%i104) define_variable(glob_diff_ord_fm,0.1,convfloat) (%i105) define_variable(glob_diff_ord_fmm1,0.1,convfloat) (%i106) define_variable(glob_diff_ord_fmm2,0.1,convfloat) (%i107) define_variable(glob_six_term_ord_save,0.1,convfloat) (%i108) define_variable(glob_guess_error_rc,0.1,convfloat) (%i109) define_variable(glob_guess_error_ord,0.1,convfloat) (%i110) define_variable(glob_max_h,0.1,convfloat) (%i111) define_variable(glob_min_h,1.0E-6,convfloat) (%i112) define_variable(glob_type_given_pole,0,fixnum) (%i113) define_variable(glob_large_float,1.0E+100,convfloat) (%i114) define_variable(glob_larger_float,1.1E+100,convfloat) (%i115) define_variable(glob_least_given_sing,9.9E+100,convfloat) (%i116) define_variable(glob_least_ratio_sing,9.9E+100,convfloat) (%i117) define_variable(glob_least_3_sing,9.9E+100,convfloat) (%i118) define_variable(glob_least_6_sing,9.9E+100,convfloat) (%i119) define_variable(glob_last_good_h,0.1,convfloat) (%i120) define_variable(glob_look_poles,false,boolean) (%i121) define_variable(glob_display_interval,0.0,convfloat) (%i122) define_variable(glob_next_display,0.0,convfloat) (%i123) define_variable(glob_dump_analytic,false,boolean) (%i124) define_variable(glob_abserr,1.0E-11,convfloat) (%i125) define_variable(glob_relerr,1.0E-11,convfloat) (%i126) define_variable(glob_min_pole_est,1.0E+9,convfloat) (%i127) define_variable(glob_max_hours,0.0,convfloat) (%i128) define_variable(glob_max_iter,1000,fixnum) (%i129) define_variable(glob_max_rel_trunc_err,1.0E-11,convfloat) (%i130) define_variable(glob_max_trunc_err,1.0E-11,convfloat) (%i131) define_variable(glob_no_eqs,0,fixnum) (%i132) define_variable(glob_optimal_clock_start_sec,0.0,convfloat) (%i133) define_variable(glob_optimal_start,0.0,convfloat) (%i134) define_variable(glob_upper_ratio_limit,1.0001,convfloat) (%i135) define_variable(glob_lower_ratio_limit,0.9999,convfloat) (%i136) define_variable(glob_small_float,0.0,convfloat) (%i137) define_variable(glob_smallish_float,0.0,convfloat) (%i138) define_variable(glob_unchanged_h_cnt,0,fixnum) (%i139) define_variable(glob_warned,false,boolean) (%i140) define_variable(glob_warned2,false,boolean) (%i141) define_variable(glob_max_sec,10000.0,convfloat) (%i142) define_variable(glob_orig_start_sec,0.0,convfloat) (%i143) define_variable(glob_start,0,fixnum) (%i144) define_variable(glob_curr_iter_when_opt,0,fixnum) (%i145) define_variable(glob_current_iter,0,fixnum) (%i146) define_variable(glob_iter,0,fixnum) (%i147) define_variable(glob_normmax,0.0,convfloat) (%i148) define_variable(glob_max_minutes,0.0,convfloat) (%i149) array(array_y_init,MAX_TERMS) (%i150) array(array_norms,MAX_TERMS) (%i151) array(array_fact_1,MAX_TERMS) (%i152) array(array_1st_rel_error,2) (%i153) array(array_last_rel_error,2) (%i154) array(array_type_pole,2) (%i155) array(array_type_real_pole,2) (%i156) array(array_type_complex_pole,2) (%i157) array(array_y,MAX_TERMS) (%i158) array(array_x,MAX_TERMS) (%i159) array(array_tmp0,MAX_TERMS) (%i160) array(array_tmp1,MAX_TERMS) (%i161) array(array_tmp2,MAX_TERMS) (%i162) array(array_tmp3,MAX_TERMS) (%i163) array(array_tmp4,MAX_TERMS) (%i164) array(array_m1,MAX_TERMS) (%i165) array(array_y_higher,2,MAX_TERMS) (%i166) array(array_y_higher_work,2,MAX_TERMS) (%i167) array(array_y_higher_work2,2,MAX_TERMS) (%i168) array(array_y_set_initial,2,MAX_TERMS) (%i169) array(array_given_rad_poles,2,3) (%i170) array(array_given_ord_poles,2,3) (%i171) array(array_rad_test_poles,2,4) (%i172) array(array_ord_test_poles,2,4) (%i173) array(array_fact_2,MAX_TERMS,MAX_TERMS) (%i174) omniout_str(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a~%",string(str)) (%i175) omniout_str_noeol(iolevel,str):=if glob_iolevel >= iolevel then printf(true,"~a",string(str)) (%i176) omniout_labstr(iolevel,label,str):=if glob_iolevel >= iolevel then printf(true,"~a = ~a~%",string(label), string(str)) (%i177) omniout_float(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (if vallen = 4 then printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel) else printf(true,"~a = ~g ~s ~%",prelabel, value,postlabel)) (%i178) omniout_int(iolevel,prelabel,prelen,value,vallen,postlabel):=if glob_iolevel >= iolevel then (printf(true,"~a = ~d ~a~%",prelabel,value, postlabel),newline()) (%i179) omniout_float_arr(iolevel,prelabel,elemnt,prelen,value,vallen, postlabel):=if glob_iolevel >= iolevel then (sprint(prelabel,"[",elemnt,"]=",value, postlabel),newline()) (%i180) logitem_time(fd,secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp],convfloat]), secs:secs_in,printf(fd,"~%"), if secs >= 0 then (years_int :truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int :truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp, truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp, truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if truncate(years_int) > 0.1 then printf(fd, "~d Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(fd, "~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(fd, "~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(fd, "~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(fd,"~d Seconds~%", sec_int)) else printf(fd," 0.0 Seconds~%"), printf(fd,"~%")),0) (%i181) omniout_timestr(secs_in):=( block(mode_declare( [[days_int,hours_int,minutes_int,sec_int, years_int],fixnum,[secs,secs_temp], convfloat]),secs:secs_in, if secs >= 0 then ( years_int:truncate(secs/glob_sec_in_year), sec_temp :mod(truncate(secs), truncate(glob_sec_in_year)), days_int:truncate(sec_temp/glob_sec_in_day), sec_temp :mod(sec_temp,truncate(glob_sec_in_day)), hours_int :truncate(sec_temp/glob_sec_in_hour), sec_temp :mod(sec_temp,truncate(glob_sec_in_hour)), minutes_int :truncate(sec_temp/glob_sec_in_minute), sec_int :mod(sec_temp, truncate(glob_sec_in_minute)), if years_int > 0 then printf(true, "= ~f Years ~f Days ~f Hours ~f Minutes ~f Seconds~%", years_int,days_int, hours_int,minutes_int, sec_int) elseif days_int > 0.1 then printf(true, "= ~d Days ~d Hours ~d Minutes ~d Seconds~%", days_int,hours_int, minutes_int,sec_int) elseif hours_int > 0.1 then printf(true, "= ~d Hours ~d Minutes ~d Seconds~%", hours_int,minutes_int, sec_int) elseif minutes_int > 0.1 then printf(true, "= ~d Minutes ~d Seconds~%", minutes_int,sec_int) else printf(true,"= ~d Seconds~%", sec_int)) else printf(true,"= 0.0 Seconds~%")),0) (%i182) zero_ats_ar(arr_a):=( block(modedcclare([iii],fixnum),iii:1, while iii <= MAX_TERMS do (arr_a[iii]:0.0,iii:1+iii)),0) (%i183) ats(mmm_ats,arr_a,arr_b,jjj_ats):=block( mode_declare([[iii_ats,lll_ats,ma_ats],fixnum,[ret_ats], convfloat]),ret_ats:0.0, if jjj_ats <= mmm_ats then (ma_ats:1+mmm_ats,iii_ats:jjj_ats, while iii_ats <= mmm_ats do (lll_ats:ma_ats-iii_ats, if lll_ats <= MAX_TERMS and iii_ats <= MAX_TERMS then ret_ats :arr_a[iii_ats]*arr_b[lll_ats]+ret_ats, iii_ats:1+iii_ats)),ret_ats) (%i184) att(mmm_att,arr_aa,arr_bb,jjj_att):=block( mode_declare([[al_att,iii_att,lll_att,ma_att],convfloat,[ret_att], fixnum]),ret_att:0.0, if jjj_att < mmm_att then (ma_att:2+mmm_att,iii_att:jjj_att, while iii_att < mmm_att and iii_att <= MAX_TERMS do (lll_att:ma_att-iii_att,al_att:lll_att-1, if lll_att <= MAX_TERMS and iii_att <= MAX_TERMS then ret_att :arr_aa[iii_att]*arr_bb[lll_att]*al_att +ret_att,iii_att:1+iii_att), ret_att:ret_att/mmm_att),ret_att) (%i185) logditto(file):=(printf(file,""),printf(file,"ditto"), printf(file,""),0) (%i186) logitem_integer(file,n):=(printf(file,""),printf(file,"~d",n), printf(file,""),0) (%i187) logitem_str(file,str):=(printf(file,""),printf(file,str), printf(file,""),0) (%i188) logitem_good_digits(file,rel_error):=( block(mode_declare([[good_digits],fixnum]), printf(file,""), if rel_error # -1.0 then (if rel_error > +1.0E-34 then ( good_digits :3-floor(log10(rel_error)), printf(file,"~d",good_digits)) else (good_digits:16, printf(file,"~d", good_digits))) else printf(file,"Unknown"), printf(file,"")),0) (%i189) log_revs(file,revs):=printf(file,revs) (%i190) logitem_float(file,x):=(printf(file,""),printf(file,"~g",x), printf(file,""),0) (%i191) logitem_h_reason(file):=(printf(file,""), if glob_h_reason = 1 then printf(file,"Max H") elseif glob_h_reason = 2 then printf(file,"Display_interval") elseif glob_h_reason = 3 then printf(file,"Optimal") elseif glob_h_reason = 4 then printf(file,"Pole Accuracy") elseif glob_h_reason = 5 then printf(file,"Min H (Pole)") elseif glob_h_reason = 6 then printf(file,"Pole") else printf(file,"Impossible"), printf(file,""),0) (%i192) logstart(file):=(printf(file,""),0) (%i193) logend(file):=(printf(file,"~%"),0) (%i194) chk_data():=( block(mode_declare([[errflag],boolean]),errflag:false, if glob_max_iter < 2 then (omniout_str(ALWAYS,"Illegal max_iter"), errflag:true),if errflag then quit()),0) (%i195) comp_expect_sec(t_end2,t_start2,t2,clock_sec2):=block( mode_declare([[ms2,rrr,sec_left,sub1,sub2], convfloat]),ms2:clock_sec2, sub1:t_end2-t_start2,sub2:t2-t_start2, if sub1 = 0.0 then sec_left:0.0 else (if sub2 > 0.0 then (rrr:sub1/sub2, sec_left:rrr*ms2-ms2) else sec_left:0.0),sec_left) (%i196) comp_percent(t_end2,t_start2,t2):=block( mode_declare([[rrr,sub1,sub2],convfloat]), sub1:t_end2-t_start2,sub2:t2-t_start2, if sub2 > glob_small_float then rrr:100.0*sub2/sub1 else rrr:0.0,rrr) (%i197) comp_rad_from_ratio(term1,term2,last_no):=( if term2 > 0.0 then ret:abs(term1*glob_h/term2) else ret:glob_larger_float,ret) (%i198) comp_ord_from_ratio(term1,term2,last_no):=( if term2 > 0.0 then ret :abs(term2)*convfloat(last_no) *log(abs(term1*glob_h/term2)) /log(convfloat(last_no)) +1.0 else ret:glob_larger_float,ret) (%i199) comp_rad_from_three_terms(term1,term2,term3,last_no):=( temp:abs( term1*term3 -term1*term3*convfloat(last_no) -2.0*term2*term2 +term2*term2*convfloat(last_no)), if temp > 0.0 then ret:abs(term2*glob_h*term1/temp) else ret:glob_larger_float,ret) (%i200) comp_ord_from_three_terms(term1,term2,term3,last_no):=( ret:abs( (-term1*term3*convfloat(last_no*last_no) +term2*term2*convfloat(last_no*last_no) +4.0*term2*term2 -4.0*term2*term2*convfloat(last_no) -3.0*term1*term3 +4.0*term1*term3*convfloat(last_no)) /(term1*term3 -term1*term3*convfloat(last_no) -2.0*term2*term2 +term2*term2*convfloat(last_no))),ret) (%i201) comp_rad_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):= ( if term5 # 0.0 and term4 # 0.0 and term3 # 0.0 and term2 # 0.0 and term1 # 0.0 then (rm0:term6/term5,rm1:term5/term4, rm2:term4/term3,rm3:term3/term2, rm4:term2/term1, nr1 :convfloat(last_no-3)*rm2 -2.0*convfloat(last_no-2)*rm1 +convfloat(last_no-1)*rm0, nr2 :convfloat(last_no-4)*rm3 -2.0*convfloat(last_no-3)*rm2 +convfloat(last_no-2)*rm1, dr1:(-1.0)/rm3+2.0/rm2+(-1.0)/rm1, dr2:(-1.0)/rm4+2.0/rm3+(-1.0)/rm2, ds1:5.0/rm3-8.0/rm2+3.0/rm1, ds2:5.0/rm4-8.0/rm3+3.0/rm2, if abs(nr1*dr2-nr2*dr1) = 0.0 or abs(dr1) = 0.0 then (rad_c:glob_larger_float, ord_no:glob_larger_float) else (if abs(nr1*dr2-nr2*dr1) # 0.0 then ( rcs :(dr1*dr2-ds2*dr1+ds1*dr2) /(nr1*dr2-nr2*dr1), ord_no :(rcs*nr1-ds1)/(2.0*dr1) -convfloat(last_no)/2.0, if abs(rcs) # 0.0 then (if rcs > 0.0 then rad_c :sqrt(rcs) *abs(glob_h) else ( rad_c :glob_larger_float, ord_no :glob_larger_float)) else ( rad_c:glob_larger_float, ord_no:glob_larger_float)) else (rad_c:glob_larger_float, ord_no:glob_larger_float))) else (rad_c:glob_larger_float, ord_no:glob_larger_float), glob_six_term_ord_save:ord_no,rad_c) (%i202) comp_ord_from_six_terms(term1,term2,term3,term4,term5,term6,last_no):=glob_six_term_ord_save (%i203) factorial_2(nnn):=nnn! (%i204) factorial_1(nnn):=block(mode_declare([[ret],convfloat]), if nnn <= MAX_TERMS then (if array_fact_1[nnn] = 0 then (ret:factorial_2(nnn), array_fact_1[nnn]:ret) else ret:array_fact_1[nnn]) else ret:factorial_2(nnn),ret) (%i205) factorial_3(mmm,nnn):=block(mode_declare([[ret],convfloat]), if nnn <= MAX_TERMS and mmm <= MAX_TERMS then (if array_fact_2[mmm,nnn] = 0 then (ret:factorial_1(mmm)/factorial_1(nnn), array_fact_2[mmm,nnn]:ret) else ret:array_fact_2[mmm,nnn]) else ret:factorial_2(mmm)/factorial_2(nnn),ret) (%i206) log10(x):=log(x)/glob_log_10 (%i207) expt(x,y):=(if x <= 0.0 and y < 0.0 then print("expt error x = ",x,"y = ",y),x^y) (%i208) estimated_needed_step_error(x_start,x_end,estimated_h, estimated_answer):=block( [desired_abs_gbl_error,range, estimated_steps,step_error], omniout_float(ALWAYS, "glob_desired_digits_correct", 32, glob_desired_digits_correct, 32,""), desired_abs_gbl_error :expt(10.0,-glob_desired_digits_correct) *abs(estimated_answer), omniout_float(ALWAYS,"estimated_h",32, estimated_h,32,""), omniout_float(ALWAYS,"estimated_answer", 32,estimated_answer,32,""), omniout_float(ALWAYS, "desired_abs_gbl_error",32, desired_abs_gbl_error,32, ""),range:x_end-x_start, omniout_float(ALWAYS,"range",32,range,32, ""), estimated_steps:range/estimated_h, omniout_float(ALWAYS,"estimated_steps",32, estimated_steps,32,""), step_error :abs( desired_abs_gbl_error /sqrt(estimated_steps)), omniout_float(ALWAYS,"step_error",32, step_error,32,""), step_error) (%i209) exact_soln_y(x):=block(-2.0-x+10.0*(0.2+0.1*x)*log(0.2+0.1*x)) (%o209) exact_soln_y(x) := block(- 2.0 - x + 10.0 (0.2 + 0.1 x) log(0.2 + 0.1 x)) (%i210) display_poles():=( block(mode_declare([[rad_given],convfloat]), if glob_type_given_pole = 1 or glob_type_given_pole = 2 then (rad_given :sqrt( array_given_rad_poles[1,2] *array_given_rad_poles[1,2] +(array_x[1] -array_given_rad_poles[1,1]) *(array_x[1] -array_given_rad_poles[1,1])), omniout_float(ALWAYS, "Radius of convergence (given) for eq 1 ", 4,rad_given,4," "), omniout_float(ALWAYS, "Order of pole (given) ", 4, array_given_ord_poles[ 1,1],4," "), if rad_given < glob_least_given_sing then glob_least_given_sing :rad_given) elseif glob_type_given_pole = 3 then omniout_str(ALWAYS, "NO POLE (given) for Equation 1") elseif glob_type_given_pole = 5 then omniout_str(ALWAYS, "SOME POLE (given) for Equation 1") else omniout_str(ALWAYS, "NO INFO (given) for Equation 1"), if array_rad_test_poles[1,1] < glob_large_float then (omniout_float(ALWAYS, "Radius of convergence (ratio test) for eq 1 ", 4, array_rad_test_poles[1,1], 4," "), if array_rad_test_poles[1,1] < glob_least_ratio_sing then glob_least_ratio_sing :array_rad_test_poles[1,1], omniout_float(ALWAYS, "Order of pole (ratio test) ", 4, array_ord_test_poles[1,1], 4," ")) else omniout_str(ALWAYS, "NO POLE (ratio test) for Equation 1"), if array_rad_test_poles[1,2] > 0.0 and array_rad_test_poles[1,2] < glob_large_float then (omniout_float(ALWAYS, "Radius of convergence (three term test) for eq 1 ", 4, array_rad_test_poles[1,2], 4," "), if array_rad_test_poles[1,2] < glob_least_3_sing then glob_least_3_sing :array_rad_test_poles[1,2], omniout_float(ALWAYS, "Order of pole (three term test) ", 4, array_ord_test_poles[1,2], 4," ")) else omniout_str(ALWAYS, "NO REAL POLE (three term test) for Equation 1"), if array_rad_test_poles[1,3] > 0.0 and array_rad_test_poles[1,3] < glob_large_float then (omniout_float(ALWAYS, "Radius of convergence (six term test) for eq 1 ", 4, array_rad_test_poles[1,3], 4," "), if array_rad_test_poles[1,3] < glob_least_6_sing then glob_least_6_sing :array_rad_test_poles[1,3], omniout_float(ALWAYS, "Order of pole (six term test) ", 4, array_ord_test_poles[1,3], 4," ")) else omniout_str(ALWAYS, "NO COMPLEX POLE (six term test) for Equation 1")), 0) (%i211) my_check_sign(x0,xf):=block([ret],if xf > x0 then ret:1.0 else ret:-1.0,ret) (%i212) est_size_answer():=block([min_size], min_size:glob_estimated_size_answer, if abs(array_y[1]) < min_size then (min_size:abs(array_y[1]), omniout_float(ALWAYS,"min_size",32,min_size, 32,"")), if min_size < 1.0 then (min_size:1.0, omniout_float(ALWAYS,"min_size",32,min_size, 32,"")),min_size) (%i213) test_suggested_h():=block( [max_estimated_step_error,hn_div_ho,hn_div_ho_2, hn_div_ho_3,no_terms,est_tmp], max_estimated_step_error:0.0,no_terms:MAX_TERMS, hn_div_ho:0.5,hn_div_ho_2:0.25,hn_div_ho_3:0.125, omniout_float(ALWAYS,"hn_div_ho",32,hn_div_ho,32,""), omniout_float(ALWAYS,"hn_div_ho_2",32,hn_div_ho_2,32, ""), omniout_float(ALWAYS,"hn_div_ho_3",32,hn_div_ho_3,32, ""), est_tmp:abs(array_y[no_terms]*hn_div_ho_3 +array_y[no_terms-1]*hn_div_ho_2 +array_y[no_terms-2]*hn_div_ho +array_y[no_terms-3]), if est_tmp >= max_estimated_step_error then max_estimated_step_error:est_tmp, omniout_float(ALWAYS,"max_estimated_step_error",32, max_estimated_step_error,32,""), max_estimated_step_error) (%i214) reached_interval():=block(mode_declare([[ret],boolean]), if glob_check_sign*array_x[1] >= glob_check_sign*glob_next_display then ret:true else ret:false,return(ret)) (%i215) display_alot(iter):=( block(mode_declare( [[abserr],convfloat,[analytic_val_y],convfloat, [ind_var],convfloat,[numeric_val],convfloat, [relerr],convfloat,[term_no],fixnum]), if reached_interval() then (if iter >= 0 then (ind_var:array_x[1], omniout_float(ALWAYS, "x[1] ", 33,ind_var,20, " "), analytic_val_y :exact_soln_y(ind_var), omniout_float(ALWAYS, "y[1] (analytic) ", 33, analytic_val_y, 20," "), term_no:1, numeric_val:array_y[term_no], abserr :abs( numeric_val-analytic_val_y), omniout_float(ALWAYS, "y[1] (numeric) ", 33,numeric_val, 20," "), if abs(analytic_val_y) # 0.0 then ( relerr :abserr*100.0 /abs(analytic_val_y), if relerr > 1.0E-34 then glob_good_digits :3-floor(log10(relerr)) else glob_good_digits :16) else (relerr:-1.0, glob_good_digits:-1), if glob_iter = 1 then array_1st_rel_error[1] :relerr else array_last_rel_error[ 1] :relerr, omniout_float(ALWAYS, "absolute error ", 4,abserr,20," "), omniout_float(ALWAYS, "relative error ", 4,relerr,20,"%"), omniout_int(INFO, "Correct digits ", 32, glob_good_digits,4, " "), omniout_float(ALWAYS, "h ", 4,glob_h,20, " ")))),0) (%i216) prog_report(x_start,x_end):=( block(mode_declare([[clock_sec],convfloat,[opt_clock_sec], convfloat,[clock_sec1],convfloat, [expect_sec],convfloat,[left_sec], convfloat,[percent_done],convfloat, [total_clock_sec],convfloat]), clock_sec1:elapsed_time_seconds(), total_clock_sec:clock_sec1-glob_orig_start_sec, glob_clock_sec:clock_sec1-glob_clock_start_sec, left_sec:-clock_sec1+glob_orig_start_sec +glob_max_sec, expect_sec:comp_expect_sec(x_end,x_start, glob_h+array_x[1], clock_sec1 -glob_orig_start_sec), opt_clock_sec:clock_sec1 -glob_optimal_clock_start_sec, glob_optimal_expect_sec :comp_expect_sec(x_end,x_start,glob_h+array_x[1], opt_clock_sec), glob_total_exp_sec :total_clock_sec+glob_optimal_expect_sec, percent_done:comp_percent(x_end,x_start, glob_h+array_x[1]), glob_percent_done:percent_done, omniout_str_noeol(INFO, "Total Elapsed Time "), omniout_timestr(total_clock_sec), omniout_str_noeol(INFO, "Elapsed Time(since restart) "), omniout_timestr(glob_clock_sec), if percent_done < 100.0 then (omniout_str_noeol(INFO, "Expected Time Remaining "), omniout_timestr(expect_sec), omniout_str_noeol(INFO, "Optimized Time Remaining "), omniout_timestr(glob_optimal_expect_sec), omniout_str_noeol(INFO, "Expected Total Time "), omniout_timestr(glob_total_exp_sec)), omniout_str_noeol(INFO, "Time to Timeout "), omniout_timestr(left_sec), omniout_float(INFO, "Percent Done ",33, percent_done,4,"%")),0) (%i217) check_for_pole():=( block(mode_declare([cnt],fixnum,[dr1,dr2,ds1,ds2,hdrc], convfloat,[m,n],fixnum,[nr1,nr2], convfloat,[ord_no],fixnum, [term1,term2,term3,part1,part2, part3,part4,part5,part6,part7, part8,part9,part10,part11,part12, part13,part14,rad_c,rcs,rm0,rm1, rm2,rm3,rm4],convfloat, [found_sing],fixnum, [h_new,ratio,term,local_test, tmp_rad,tmp_ord,tmp_ratio, prev_tmp_rad],convfloat,[last_no], fixnum),tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,1]:glob_larger_float, array_ord_test_poles[1,1]:glob_larger_float, found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0, while last_no < MAX_TERMS-3 and found_sing = 1 do (tmp_rad :comp_rad_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), tmp_ratio:tmp_rad/prev_tmp_rad, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,1] then ( array_rad_test_poles[1,1]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_ratio( array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,1]:rad_c, array_ord_test_poles[1,1] :tmp_ord)), tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,2]:glob_larger_float, array_ord_test_poles[1,2]:glob_larger_float, found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0, while last_no < MAX_TERMS-4 and found_sing = 1 do (tmp_rad :comp_rad_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), tmp_ratio:tmp_rad/prev_tmp_rad, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,2] then ( array_rad_test_poles[1,2]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_three_terms( array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,2]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,2] :tmp_ord)), tmp_rad:glob_larger_float, prev_tmp_rad:glob_larger_float, tmp_ratio:glob_larger_float, rad_c:glob_larger_float, array_rad_test_poles[1,3]:glob_larger_float, array_ord_test_poles[1,3]:glob_larger_float, found_sing:1,last_no:-10-1+MAX_TERMS,cnt:0, while last_no < MAX_TERMS-7 and found_sing = 1 do (tmp_rad :comp_rad_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no],last_no), tmp_ratio:tmp_rad/prev_tmp_rad, if cnt > 0 and tmp_ratio < glob_upper_ratio_limit and tmp_ratio > glob_lower_ratio_limit then rad_c:tmp_rad elseif cnt = 0 then rad_c:tmp_rad elseif cnt > 0 then found_sing:0, prev_tmp_rad:tmp_rad,cnt:1+cnt, last_no:1+last_no), if found_sing = 1 then (if rad_c < array_rad_test_poles[1,3] then ( array_rad_test_poles[1,3]:rad_c, last_no:last_no-1, tmp_ord :comp_ord_from_six_terms( array_y_higher[1,last_no-5], array_y_higher[1,last_no-4], array_y_higher[1,last_no-3], array_y_higher[1,last_no-2], array_y_higher[1,last_no-1], array_y_higher[1,last_no], last_no), array_rad_test_poles[1,3]:rad_c, if rad_c < glob_min_pole_est then glob_min_pole_est:rad_c, array_ord_test_poles[1,3] :tmp_ord)), if abs(glob_min_pole_est)*glob_ratio_of_radius < abs(glob_h) then (h_new :glob_check_sign*glob_min_pole_est *glob_ratio_of_radius, omniout_str(ALWAYS, "SETTING H FOR POLE"), glob_h_reason:6, if glob_check_sign*glob_min_h > glob_check_sign*h_new then ( omniout_str(ALWAYS, "SETTING H FOR MIN H"), h_new:glob_min_h,glob_h_reason:5), term:1,ratio:1.0, while term <= MAX_TERMS do ( array_y[term] :array_y[term]*ratio, array_y_higher[1,term] :array_y_higher[1,term]*ratio, array_x[term] :array_x[term]*ratio, ratio:ratio*h_new/abs(glob_h), term:1+term),glob_h:h_new), if reached_interval() then display_poles()),0) (%i218) atomall():=( block(mode_declare([[kkk,order_d],fixnum, [adj2,adj3,temporary,term,temp,temp2], convfloat]), array_tmp1[1]:array_const_0D1[1]*array_x[1], array_tmp2[1]:array_const_0D2[1]+array_tmp1[1], array_tmp3[1]:log(array_tmp2[1]), array_tmp4[1]:array_tmp3[1]+array_const_0D0[1], if not array_y_set_initial[1,2] then (if 1 <= MAX_TERMS then ( temporary :array_tmp4[1]*expt(glob_h,1) *factorial_3(0,1), if 2 <= MAX_TERMS then (array_y[2]:temporary, array_y_higher[1,2]:temporary), temporary:temporary*1.0/glob_h, array_y_higher[2,1]:temporary,0)),kkk:2, array_tmp1[2]:array_const_0D1[1]*array_x[2], array_tmp2[2]:array_tmp1[2], array_tmp3[2]:array_tmp2[2]/array_tmp2[1], array_tmp4[2]:array_tmp3[2], if not array_y_set_initial[1,3] then (if 2 <= MAX_TERMS then ( temporary :array_tmp4[2]*expt(glob_h,1) *factorial_3(1,2), if 3 <= MAX_TERMS then (array_y[3]:temporary, array_y_higher[1,3]:temporary), temporary:temporary*2.0/glob_h, array_y_higher[2,2]:temporary,0)),kkk:3, array_tmp3[3]:(-array_tmp2[2]*array_tmp3[2]*1) /array_tmp2[1] /2,array_tmp4[3]:array_tmp3[3], if not array_y_set_initial[1,4] then (if 3 <= MAX_TERMS then ( temporary :array_tmp4[3]*expt(glob_h,1) *factorial_3(2,3), if 4 <= MAX_TERMS then (array_y[4]:temporary, array_y_higher[1,4]:temporary), temporary:temporary*3.0/glob_h, array_y_higher[2,3]:temporary,0)),kkk:4, array_tmp3[4]:(-array_tmp2[2]*array_tmp3[3]*2) /array_tmp2[1] /3,array_tmp4[4]:array_tmp3[4], if not array_y_set_initial[1,5] then (if 4 <= MAX_TERMS then ( temporary :array_tmp4[4]*expt(glob_h,1) *factorial_3(3,4), if 5 <= MAX_TERMS then (array_y[5]:temporary, array_y_higher[1,5]:temporary), temporary:temporary*4.0/glob_h, array_y_higher[2,4]:temporary,0)),kkk:5, array_tmp3[5]:(-array_tmp2[2]*array_tmp3[4]*3) /array_tmp2[1] /4,array_tmp4[5]:array_tmp3[5], if not array_y_set_initial[1,6] then (if 5 <= MAX_TERMS then ( temporary :array_tmp4[5]*expt(glob_h,1) *factorial_3(4,5), if 6 <= MAX_TERMS then (array_y[6]:temporary, array_y_higher[1,6]:temporary), temporary:temporary*5.0/glob_h, array_y_higher[2,5]:temporary,0)),kkk:6, while kkk <= MAX_TERMS do (array_tmp3[kkk] :(-array_tmp2[2]*array_tmp3[kkk-1]*(kkk-2)) /array_tmp2[1] /(kkk-1),array_tmp4[kkk]:array_tmp3[kkk], order_d:1, if order_d+kkk <= MAX_TERMS then (if not array_y_set_initial[1,order_d+kkk] then ( temporary :array_tmp4[kkk]*expt(glob_h,order_d) *factorial_3(kkk-1, -1+order_d +kkk), array_y[order_d+kkk]:temporary, array_y_higher[1,order_d+kkk]:temporary, term:-1+order_d+kkk,adj2:-1+order_d+kkk, adj3:2, while term >= 1 and term <= MAX_TERMS and adj3 < 1+order_d do ( if adj3 <= 1+order_d then ( if adj2 > 0 then temporary :temporary*adj2/glob_h else temporary:temporary, array_y_higher[adj3,term] :temporary),term:term-1, adj2:adj2-1,adj3:1+adj3))), kkk:1+kkk)),0) (%i219) exact_soln_y(x):=block(-2.0-x+10.0*(0.2+0.1*x)*log(0.2+0.1*x)) (%o219) exact_soln_y(x) := block(- 2.0 - x + 10.0 (0.2 + 0.1 x) log(0.2 + 0.1 x)) (%i220) main_prog():=block( mode_declare([[d1,d2,d3,d4,est_err_2],convfloat, [niii,done_once,term,ord,order_diff,term_no, html_log_file,iiif,jjjf,rows,r_order, sub_iter,calc_term,iii],fixnum,[temp_sum], convfloat,[current_iter],fixnum, [x_start,x_end],convfloat,[it,opt_iter], fixnum,[tmp],convfloat,[subiter],fixnum, [est_needed_step_err,estimated_step_error, min_value,est_answer,last_min_pole_est], convfloat,[repeat_it],fixnum],[found_h], boolean),Digits:32,max_terms:30, glob_html_log:true,term:1, while term <= MAX_TERMS do (array_y_init[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_norms[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_fact_1[term]:0.0,term:1+term),term:1, while term <= 2 do (array_1st_rel_error[term]:0.0,term:1+term),term:1, while term <= 2 do (array_last_rel_error[term]:0.0,term:1+term),term:1, while term <= 2 do (array_type_pole[term]:0,term:1+term), term:1, while term <= 2 do (array_type_real_pole[term]:0,term:1+term),term:1, while term <= 2 do (array_type_complex_pole[term]:0,term:1+term),term:1, while term <= MAX_TERMS do (array_y[term]:0.0,term:1+term), term:1, while term <= MAX_TERMS do (array_x[term]:0.0,term:1+term), term:1, while term <= MAX_TERMS do (array_tmp0[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp1[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp2[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp3[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_tmp4[term]:0.0,term:1+term),term:1, while term <= MAX_TERMS do (array_m1[term]:0.0,term:1+term), ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_higher[ord,term]:0.0,term:1+term), ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_higher_work[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_higher_work2[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= MAX_TERMS do (array_y_set_initial[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_rad_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 3 do (array_given_ord_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_rad_test_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= 2 do (term:1, while term <= 4 do (array_ord_test_poles[ord,term]:0.0, term:1+term),ord:1+ord),ord:1, while ord <= MAX_TERMS do (term:1, while term <= MAX_TERMS do (array_fact_2[ord,term]:0.0,term:1+term), ord:1+ord),zero_ats_ar(array_y),zero_ats_ar(array_x), zero_ats_ar(array_tmp0),zero_ats_ar(array_tmp1), zero_ats_ar(array_tmp2),zero_ats_ar(array_tmp3), zero_ats_ar(array_tmp4),zero_ats_ar(array_m1), zero_ats_ar(array_const_1),array_const_1[1]:1, zero_ats_ar(array_const_0D0),array_const_0D0[1]:0.0, zero_ats_ar(array_const_0D1),array_const_0D1[1]:0.1, zero_ats_ar(array_const_0D2),array_const_0D2[1]:0.2, zero_ats_ar(array_m1),array_m1[1]:-1.0,iiif:0, while iiif <= MAX_TERMS do (jjjf:0, while jjjf <= MAX_TERMS do (array_fact_1[iiif]:0, array_fact_2[iiif,jjjf]:0,jjjf:1+jjjf), iiif:1+iiif),array_y_set_initial[1,1]:true, array_y_set_initial[1,2]:false, array_y_set_initial[1,3]:false, array_y_set_initial[1,4]:false, array_y_set_initial[1,5]:false, array_y_set_initial[1,6]:false, array_y_set_initial[1,7]:false, array_y_set_initial[1,8]:false, array_y_set_initial[1,9]:false, array_y_set_initial[1,10]:false, array_y_set_initial[1,11]:false, array_y_set_initial[1,12]:false, array_y_set_initial[1,13]:false, array_y_set_initial[1,14]:false, array_y_set_initial[1,15]:false, array_y_set_initial[1,16]:false, array_y_set_initial[1,17]:false, array_y_set_initial[1,18]:false, array_y_set_initial[1,19]:false, array_y_set_initial[1,20]:false, array_y_set_initial[1,21]:false, array_y_set_initial[1,22]:false, array_y_set_initial[1,23]:false, array_y_set_initial[1,24]:false, array_y_set_initial[1,25]:false, array_y_set_initial[1,26]:false, array_y_set_initial[1,27]:false, array_y_set_initial[1,28]:false, array_y_set_initial[1,29]:false, array_y_set_initial[1,30]:false,ALWAYS:1,INFO:2,DEBUGL:3, DEBUGMASSIVE:4,MAX_TERMS:30,glob_iolevel:INFO, glob_orig_start_sec:elapsed_time_seconds(), glob_curr_iter_when_opt:0,glob_display_flag:true, glob_no_eqs:1,glob_iter:-1,opt_iter:-1,glob_max_iter:50000, glob_max_hours:0.0,glob_max_minutes:15.0, omniout_str(ALWAYS, "##############ECHO OF PROBLEM#################"), omniout_str(ALWAYS, "##############temp/lin_lnpostode.ode#################"), omniout_str(ALWAYS, "diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; "), omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* BEGIN FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"Digits:32,"), omniout_str(ALWAYS,"max_terms:30,"),omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* END FIRST INPUT BLOCK */"), omniout_str(ALWAYS,"/* BEGIN SECOND INPUT BLOCK */"), omniout_str(ALWAYS,"x_start:20.0,"), omniout_str(ALWAYS,"x_end:30.0,"), omniout_str(ALWAYS, "array_y_init[0 + 1] : exact_soln_y(x_start),"), omniout_str(ALWAYS,"glob_look_poles:true,"), omniout_str(ALWAYS,"glob_min_h:0.001,"), omniout_str(ALWAYS,""),omniout_str(ALWAYS,""), omniout_str(ALWAYS,""),omniout_str(ALWAYS,""), omniout_str(ALWAYS,""),omniout_str(ALWAYS,""), omniout_str(ALWAYS,""), omniout_str(ALWAYS,"glob_type_given_pole:1,"), omniout_str(ALWAYS,""), omniout_str(ALWAYS,"array_given_rad_poles[1,1]:-1.5,"), omniout_str(ALWAYS,""), omniout_str(ALWAYS,"array_given_rad_poles[1,2]:0.0,"), omniout_str(ALWAYS,""), omniout_str(ALWAYS,"array_given_ord_poles[1,1]:1.0,"), omniout_str(ALWAYS,""), omniout_str(ALWAYS,"array_given_ord_poles[1,2]:0.0,"), omniout_str(ALWAYS,"/* END SECOND INPUT BLOCK */"), omniout_str(ALWAYS,"/* BEGIN OVERRIDE BLOCK */"), omniout_str(ALWAYS,"glob_desired_digits_correct:10,"), omniout_str(ALWAYS,"glob_display_interval:0.01,"), omniout_str(ALWAYS,"glob_look_poles:true,"), omniout_str(ALWAYS,"glob_max_iter:100000000,"), omniout_str(ALWAYS,"glob_max_minutes:10.0,"), omniout_str(ALWAYS,"glob_subiter_method:3,"), omniout_str(ALWAYS,"/* END OVERRIDE BLOCK */"), omniout_str(ALWAYS,"!"), omniout_str(ALWAYS,"/* BEGIN USER DEF BLOCK */"), omniout_str(ALWAYS,"exact_soln_y (x) := (block("), omniout_str(ALWAYS, " (10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 2.0) "), omniout_str(ALWAYS,"));"),omniout_str(ALWAYS,""), omniout_str(ALWAYS,""), omniout_str(ALWAYS,"/* END USER DEF BLOCK */"), omniout_str(ALWAYS, "#######END OF ECHO OF PROBLEM#################"), glob_unchanged_h_cnt:0,glob_warned:false,glob_warned2:false, glob_small_float:0.0,glob_smallish_float:0.0, glob_large_float:1.0E+100,glob_larger_float:1.1E+100, glob_almost_1:0.99,x_start:20.0,x_end:30.0, array_y_init[1+0]:exact_soln_y(x_start), glob_look_poles:true,glob_min_h:0.001, glob_type_given_pole:1,array_given_rad_poles[1,1]:-1.5, array_given_rad_poles[1,2]:0.0, array_given_ord_poles[1,1]:1.0, array_given_ord_poles[1,2]:0.0, glob_desired_digits_correct:10,glob_display_interval:0.01, glob_look_poles:true,glob_max_iter:100000000, glob_max_minutes:10.0,glob_subiter_method:3, glob_last_good_h:glob_h, glob_max_sec:3600.0*glob_max_hours+60.0*glob_max_minutes, omniout_str(ALWAYS,"START of Optimize"), glob_check_sign:my_check_sign(x_start,x_end),found_h:false, glob_min_pole_est:glob_larger_float, last_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float, glob_min_h:abs(glob_min_h)*glob_check_sign, glob_max_h:abs(glob_max_h)*glob_check_sign, glob_h:abs(glob_min_h)*glob_check_sign, glob_display_interval:abs(glob_display_interval) *glob_check_sign,chk_data(), min_value:glob_larger_float,est_answer:est_size_answer(), opt_iter:1, est_needed_step_err:estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(ALWAYS,"est_needed_step_err",32, est_needed_step_err,16,""), estimated_step_error:0.0, while opt_iter <= 100 and not found_h do (omniout_int(ALWAYS,"opt_iter",32,opt_iter,4,""), array_x[1]:x_start,array_x[2]:glob_h, glob_next_display:x_start,order_diff:1,term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no]*expt(glob_h,term_no-1) /factorial_1(term_no-1),term_no:1+term_no), rows:order_diff,r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < MAX_TERMS then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no),r_order:1+r_order), atomall(), if glob_check_sign*glob_max_h <= glob_check_sign*glob_h then (omniout_str(ALWAYS,"SETTING H FOR MAX H"), glob_h:glob_check_sign*abs(glob_max_h), glob_h_reason:1,found_h:true), if glob_check_sign*glob_display_interval <= glob_check_sign*glob_h then (omniout_str(ALWAYS, "SETTING H FOR DISPLAY INTERVAL"), glob_h_reason:2, glob_h:glob_display_interval,found_h:true), if glob_look_poles then (check_for_pole(), if opt_iter > 2 and not found_h and (glob_min_pole_est < 0.999*last_min_pole_est or glob_min_pole_est > 1.111 *last_min_pole_est) then ( omniout_str(ALWAYS, "SETTING H FOR POLE ACCURACY"), glob_h_reason:4,found_h:true, glob_h:glob_h/2.0, last_min_pole_est:glob_min_pole_est) else last_min_pole_est :glob_min_pole_est), if not found_h then (est_answer:est_size_answer(), est_needed_step_err :estimated_needed_step_error( x_start,x_end,glob_h,est_answer), omniout_float(ALWAYS,"est_needed_step_err", 32,est_needed_step_err,16, ""), estimated_step_error:test_suggested_h(), omniout_float(ALWAYS, "estimated_step_error",32, estimated_step_error,32,""), if estimated_step_error < est_needed_step_err then ( omniout_str(ALWAYS, "Double H and LOOP"), glob_h:glob_h*2.0) else ( omniout_str(ALWAYS, "Found H for OPTIMAL"), found_h:true,glob_h_reason:3, glob_h:glob_h/2.0)), opt_iter:1+opt_iter), if not found_h and opt_iter = 1 then (omniout_str(ALWAYS,"Beginning glob_h too large."), found_h:false), if glob_html_log then html_log_file:openw("entry.html"), if found_h then (omniout_str(ALWAYS,"START of Soultion"), array_x[1]:x_start,array_x[2]:glob_h, glob_next_display:x_start, glob_min_pole_est:glob_larger_float, glob_least_given_sing:glob_larger_float, glob_least_ratio_sing:glob_larger_float, glob_least_3_sing:glob_larger_float, glob_least_6_sing:glob_larger_float,order_diff:1, term_no:1, while term_no <= order_diff do (array_y[term_no] :array_y_init[term_no] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no),rows:order_diff, r_order:1, while r_order <= rows do (term_no:1, while term_no <= 1-r_order+rows do (it:-1+r_order+term_no, if term_no < MAX_TERMS then array_y_higher[ r_order,term_no] :array_y_init[it] *expt(glob_h,term_no-1) /factorial_1(term_no-1), term_no:1+term_no), r_order:1+r_order),current_iter:1, glob_clock_start_sec:elapsed_time_seconds(), glob_clock_sec:elapsed_time_seconds(), glob_current_iter:0,glob_iter:0, omniout_str(DEBUGL," "), glob_reached_optimal_h:true, glob_optimal_clock_start_sec :elapsed_time_seconds(), while glob_current_iter < glob_max_iter and glob_check_sign*array_x[1] < glob_check_sign*x_end and glob_clock_sec-glob_orig_start_sec < glob_max_sec do (if reached_interval() then (omniout_str(INFO," "), omniout_str(INFO, "TOP MAIN SOLVE Loop")), glob_iter:1+glob_iter, glob_clock_sec:elapsed_time_seconds(), glob_current_iter:1+glob_current_iter, atomall(),display_alot(current_iter), check_for_pole(), if reached_interval() then glob_next_display :glob_display_interval +glob_next_display, array_x[1]:glob_h+array_x[1], array_x[2]:glob_h,order_diff:2,ord:2, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[2,iii] :array_y_higher[2,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:2, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1),ord:1, calc_term:2,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:1, calc_term:2,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1),ord:1, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( array_y_higher_work[1,iii] :array_y_higher[1,iii] /expt(glob_h,calc_term-1) /factorial_3(iii-calc_term,iii-1), iii:iii-1),temp_sum:0.0,ord:1, calc_term:1,iii:MAX_TERMS, while iii >= calc_term do ( temp_sum :array_y_higher_work[ord,iii] +temp_sum,iii:iii-1), array_y_higher_work2[ord,calc_term] :temp_sum*expt(glob_h,calc_term-1) /factorial_1(calc_term-1), term_no:MAX_TERMS, while term_no >= 1 do ( array_y[term_no] :array_y_higher_work2[1,term_no], ord:1, while ord <= order_diff do ( array_y_higher[ord,term_no] :array_y_higher_work2[ ord,term_no],ord:1+ord), term_no:term_no-1)), omniout_str(ALWAYS,"Finished!"), if glob_iter >= glob_max_iter then omniout_str(ALWAYS, "Maximum Iterations Reached before Solution Completed!"), if elapsed_time_seconds()-glob_orig_start_sec >= glob_max_sec then omniout_str(ALWAYS, "Maximum Time Reached before Solution Completed!"), glob_clock_sec:elapsed_time_seconds(), omniout_str(INFO, "diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; "), omniout_int(INFO, "Iterations ",32, glob_iter,4," "), prog_report(x_start,x_end), if glob_html_log then (logstart(html_log_file), logitem_str(html_log_file, "2014-01-20T00:34:15-06:00"), logitem_str(html_log_file,"Maxima"), logitem_str(html_log_file, "lin_ln"), logitem_str(html_log_file, "diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; "), logitem_float(html_log_file,x_start), logitem_float(html_log_file,x_end), logitem_float(html_log_file,array_x[1]), logitem_float(html_log_file,glob_h), logitem_h_reason(html_log_file), logitem_str(html_log_file,"16"), logitem_good_digits(html_log_file, array_last_rel_error[ 1]), logitem_integer(html_log_file, MAX_TERMS), if glob_type_given_pole = 0 then ( logitem_str(html_log_file, "Not Given"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 4 then ( logitem_str(html_log_file, "No Solution"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 5 then ( logitem_str(html_log_file, "Some Pole"), logitem_str(html_log_file,"????"),0) elseif glob_type_given_pole = 3 then ( logitem_str(html_log_file, "No Pole"), logitem_str(html_log_file,"NA"),0) elseif glob_type_given_pole = 1 then ( logitem_str(html_log_file, "Real Sing"), logitem_float(html_log_file, glob_least_given_sing), 0) elseif glob_type_given_pole = 2 then ( logitem_str(html_log_file, "Complex Sing"), logitem_float(html_log_file, glob_least_given_sing), 0), if glob_least_ratio_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_ratio_sing), 0) else ( logitem_str(html_log_file,"NONE"),0), if glob_least_3_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_3_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), if glob_least_6_sing < glob_large_float then ( logitem_float(html_log_file, glob_least_6_sing),0) else ( logitem_str(html_log_file,"NONE"), 0), logitem_integer(html_log_file, glob_iter), logitem_time(html_log_file, glob_clock_sec), if glob_percent_done < 100.0 then ( logitem_time(html_log_file, glob_total_exp_sec),0) else ( logitem_str(html_log_file,"Done"), 0), log_revs(html_log_file, " 249 "), logitem_str(html_log_file, "lin_ln diffeq.max"), logitem_str(html_log_file, "lin_ln maxima results"), logitem_str(html_log_file, "All Tests - Maxima only - to save time"), logend(html_log_file)), if glob_html_log then close(html_log_file))) (%i221) main():=(alias(convfloat,convfloat),compile(all),main_prog()) (%i222) main() warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. warning: encountered undefined variable glob_iolevel in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable secs in translation. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable sec_temp in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable years_int in translation. warning: encountered undefined variable days_int in translation. warning: encountered undefined variable hours_int in translation. warning: encountered undefined variable minutes_int in translation. warning: encountered undefined variable sec_int in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_sec_in_year in translation. warning: encountered undefined variable glob_sec_in_day in translation. warning: encountered undefined variable glob_sec_in_hour in translation. warning: encountered undefined variable glob_sec_in_minute in translation. warning: encountered undefined variable iii in translation. warning: encountered undefined variable fixnum in translation. warning: encountered undefined variable MAX_TERMS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable iii_ats in translation. warning: encountered undefined variable ma_ats in translation. warning: encountered undefined variable ret_ats in translation. warning: encountered undefined variable lll_ats in translation. warning: encountered undefined variable MAX_TERMS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable iii_att in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable ma_att in translation. warning: encountered undefined variable lll_att in translation. warning: encountered undefined variable ret_att in translation. warning: encountered undefined variable al_att in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable good_digits in translation. warning: encountered undefined variable glob_h_reason in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable errflag in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable sub1 in translation. warning: encountered undefined variable sub2 in translation. warning: encountered undefined variable rrr in translation. warning: encountered undefined variable ms2 in translation. warning: encountered undefined variable sec_left in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_small_float in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable ret in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temp in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable rm0 in translation. warning: encountered undefined variable rm1 in translation. warning: encountered undefined variable rm2 in translation. warning: encountered undefined variable rm3 in translation. warning: encountered undefined variable rm4 in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable nr1 in translation. warning: encountered undefined variable dr2 in translation. warning: encountered undefined variable nr2 in translation. warning: encountered undefined variable dr1 in translation. warning: encountered undefined variable ds1 in translation. warning: encountered undefined variable ds2 in translation. warning: encountered undefined variable rcs in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable ord_no in translation. warning: variable glob_six_term_ord_save (declared type convfloat) assigned type any. warning: encountered undefined variable rad_c in translation. warning: encountered undefined variable glob_six_term_ord_save in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_fact_1 in translation. warning: encountered undefined variable MAX_TERMS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_fact_2 in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable glob_log_10 in translation. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable glob_desired_digits_correct in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_x in translation. warning: encountered undefined variable array_given_rad_poles in translation. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable rad_given in translation. warning: encountered undefined variable array_given_ord_poles in translation. warning: variable glob_least_given_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable array_rad_test_poles in translation. warning: variable glob_least_ratio_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable array_ord_test_poles in translation. warning: encountered undefined variable glob_large_float in translation. warning: variable glob_least_3_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_3_sing in translation. warning: variable glob_least_6_sing (declared type convfloat) assigned type any. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_estimated_size_answer in translation. warning: encountered undefined variable array_y in translation. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable ALWAYS in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_next_display in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable ind_var in translation. warning: encountered undefined variable analytic_val_y in translation. warning: encountered undefined variable term_no in translation. warning: encountered undefined variable numeric_val in translation. warning: encountered undefined variable abserr in translation. warning: encountered undefined variable relerr in translation. warning: variable glob_good_digits (declared type fixnum) assigned type any. warning: encountered undefined variable array_1st_rel_error in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable array_last_rel_error in translation. warning: encountered undefined variable INFO in translation. warning: encountered undefined variable glob_good_digits in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable clock_sec1 in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_clock_start_sec in translation. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_optimal_clock_start_sec in translation. warning: encountered undefined variable opt_clock_sec in translation. warning: variable glob_optimal_expect_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_optimal_expect_sec in translation. warning: encountered undefined variable total_clock_sec in translation. warning: variable glob_total_exp_sec (declared type convfloat) assigned type any. warning: encountered undefined variable percent_done in translation. warning: variable glob_percent_done (declared type convfloat) assigned type any. warning: encountered undefined variable INFO in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable expect_sec in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable left_sec in translation. warning: encountered undefined variable glob_larger_float in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable last_no in translation. warning: encountered undefined variable found_sing in translation. warning: encountered undefined variable array_y_higher in translation. warning: variable tmp_rad (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_rad in translation. warning: encountered undefined variable prev_tmp_rad in translation. warning: encountered undefined variable cnt in translation. warning: encountered undefined variable tmp_ratio in translation. warning: encountered undefined variable glob_upper_ratio_limit in translation. warning: encountered undefined variable glob_lower_ratio_limit in translation. warning: variable tmp_ord (declared type convfloat) assigned type any. warning: encountered undefined variable tmp_ord in translation. warning: encountered undefined variable glob_min_pole_est in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_ratio_of_radius in translation. warning: encountered undefined variable ALWAYS in translation. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable h_new in translation. warning: encountered undefined variable term in translation. warning: encountered undefined variable ratio in translation. warning: encountered undefined variable glob_h in translation. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: encountered undefined variable array_const_0D1 in translation. warning: encountered undefined variable array_tmp1 in translation. warning: encountered undefined variable array_const_0D2 in translation. warning: encountered undefined variable array_tmp2 in translation. warning: encountered undefined variable array_tmp3 in translation. warning: encountered undefined variable array_const_0D0 in translation. warning: encountered undefined variable array_tmp4 in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable temporary in translation. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable array_y_set_initial in translation. warning: encountered undefined variable kkk in translation. warning: encountered undefined variable order_d in translation. warning: encountered undefined variable adj3 in translation. warning: encountered undefined variable adj2 in translation. modedeclare: [found_h] is not a built-in type; assuming it is a Maxima extension type. modedeclare: false is not a built-in type; assuming it is a Maxima extension type. warning: variable term (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable MAX_TERMS in translation. warning: encountered undefined variable array_y_init in translation. warning: variable term (declared type [found_h]) assigned type any. warning: encountered undefined variable array_norms in translation. warning: encountered undefined variable array_type_pole in translation. warning: encountered undefined variable array_type_real_pole in translation. warning: encountered undefined variable array_type_complex_pole in translation. warning: encountered undefined variable array_tmp0 in translation. warning: encountered undefined variable array_m1 in translation. warning: variable ord (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable ord in translation. warning: variable ord (declared type [found_h]) assigned type any. warning: encountered undefined variable array_y_higher_work in translation. warning: encountered undefined variable array_y_higher_work2 in translation. warning: encountered undefined variable array_const_1 in translation. warning: variable iiif (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable iiif in translation. warning: variable jjjf (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable jjjf in translation. warning: variable jjjf (declared type [found_h]) assigned type any. warning: variable iiif (declared type [found_h]) assigned type any. warning: encountered undefined variable INFO in translation. warning: variable glob_orig_start_sec (declared type convfloat) assigned type any. warning: variable opt_iter (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable ALWAYS in translation. warning: variable x_start (declared type [found_h]) assigned type convfloat. warning: variable x_end (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable x_start in translation. warning: encountered undefined variable glob_h in translation. warning: encountered undefined variable glob_max_minutes in translation. warning: encountered undefined variable glob_max_hours in translation. warning: encountered undefined variable x_end in translation. warning: variable glob_check_sign (declared type convfloat) assigned type any. warning: encountered undefined variable glob_larger_float in translation. warning: variable last_min_pole_est (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable glob_min_h in translation. warning: encountered undefined variable glob_check_sign in translation. warning: encountered undefined variable glob_max_h in translation. warning: encountered undefined variable glob_display_interval in translation. warning: variable min_value (declared type [found_h]) assigned type convfloat. warning: variable est_answer (declared type [found_h]) assigned type any. warning: encountered undefined variable est_answer in translation. warning: variable est_needed_step_err (declared type [found_h]) assigned type any. warning: encountered undefined variable est_needed_step_err in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable opt_iter in translation. warning: encountered undefined variable found_h in translation. warning: variable glob_next_display (declared type convfloat) assigned type [found_h]. warning: variable order_diff (declared type [found_h]) assigned type fixnum. warning: variable term_no (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable order_diff in translation. warning: variable term_no (declared type [found_h]) assigned type any. warning: variable r_order (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable r_order in translation. warning: encountered undefined variable rows in translation. warning: variable it (declared type [found_h]) assigned type any. warning: encountered undefined variable it in translation. warning: variable r_order (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_min_pole_est in translation. warning: encountered undefined variable last_min_pole_est in translation. warning: encountered undefined variable glob_look_poles in translation. warning: variable estimated_step_error (declared type [found_h]) assigned type any. warning: encountered undefined variable estimated_step_error in translation. warning: variable opt_iter (declared type [found_h]) assigned type any. warning: variable html_log_file (declared type [found_h]) assigned type any. warning: encountered undefined variable glob_html_log in translation. warning: variable current_iter (declared type [found_h]) assigned type fixnum. warning: variable glob_clock_start_sec (declared type convfloat) assigned type any. warning: variable glob_clock_sec (declared type convfloat) assigned type any. warning: encountered undefined variable DEBUGL in translation. warning: variable glob_optimal_clock_start_sec (declared type convfloat) assigned type any. warning: encountered undefined variable glob_current_iter in translation. warning: encountered undefined variable glob_max_iter in translation. warning: encountered undefined variable glob_clock_sec in translation. warning: encountered undefined variable glob_orig_start_sec in translation. warning: encountered undefined variable glob_max_sec in translation. warning: encountered undefined variable glob_iter in translation. warning: encountered undefined variable current_iter in translation. warning: encountered undefined variable glob_next_display in translation. warning: variable calc_term (declared type [found_h]) assigned type fixnum. warning: variable iii (declared type [found_h]) assigned type fixnum. warning: encountered undefined variable calc_term in translation. warning: variable iii (declared type [found_h]) assigned type any. warning: variable temp_sum (declared type [found_h]) assigned type convfloat. warning: encountered undefined variable temp_sum in translation. warning: variable temp_sum (declared type [found_h]) assigned type any. warning: encountered undefined variable html_log_file in translation. warning: encountered undefined variable glob_type_given_pole in translation. warning: encountered undefined variable glob_least_given_sing in translation. warning: encountered undefined variable glob_least_ratio_sing in translation. warning: encountered undefined variable glob_large_float in translation. warning: encountered undefined variable glob_least_3_sing in translation. warning: encountered undefined variable glob_least_6_sing in translation. warning: encountered undefined variable glob_total_exp_sec in translation. warning: encountered undefined variable glob_percent_done in translation. WARNING: in $MAIN_PROG : |$Digits| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MAX_TERMS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : |$debugmassive| is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_CURR_ITER_WHEN_OPT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_DISPLAY_FLAG is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_NO_EQS is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_UNCHANGED_H_CNT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_WARNED2 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SMALLISH_FLOAT is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_ALMOST_1 is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_SUBITER_METHOD is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_LAST_GOOD_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $MIN_VALUE is neither declared nor bound, it will be treated as if it were declared SPECIAL. WARNING: in $MAIN_PROG : $GLOB_REACHED_OPTIMAL_H is neither declared nor bound, it will be treated as if it were declared SPECIAL. Warning: modedcclare has a function or macro call which has not been translated properly. The function was totaly undefined. Maybe you want to quote it."##############ECHO OF PROBLEM#################" "##############temp/lin_lnpostode.ode#################" "diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; " "!" "/* BEGIN FIRST INPUT BLOCK */" "Digits:32," "max_terms:30," "!" "/* END FIRST INPUT BLOCK */" "/* BEGIN SECOND INPUT BLOCK */" "x_start:20.0," "x_end:30.0," "array_y_init[0 + 1] : exact_soln_y(x_start)," "glob_look_poles:true," "glob_min_h:0.001," "" "" "" "" "" "" "" "glob_type_given_pole:1," "" "array_given_rad_poles[1,1]:-1.5," "" "array_given_rad_poles[1,2]:0.0," "" "array_given_ord_poles[1,1]:1.0," "" "array_given_ord_poles[1,2]:0.0," "/* END SECOND INPUT BLOCK */" "/* BEGIN OVERRIDE BLOCK */" "glob_desired_digits_correct:10," "glob_display_interval:0.01," "glob_look_poles:true," "glob_max_iter:100000000," "glob_max_minutes:10.0," "glob_subiter_method:3," "/* END OVERRIDE BLOCK */" "!" "/* BEGIN USER DEF BLOCK */" "exact_soln_y (x) := (block(" " (10.0* (0.1 * x + 0.2) * ln(0.1 * x + 0.2) - x - 2.0) " "));" "" "" "/* END USER DEF BLOCK */" "#######END OF ECHO OF PROBLEM#################" "START of Optimize" min_size = 0.0 "" min_size = 1. "" glob_desired_digits_correct = 10. "" estimated_h = 1.000E-3 "" estimated_answer = 1. "" desired_abs_gbl_error = 1.0000000000E-10 "" range = 10. "" estimated_steps = 10000. "" step_error = 1.000000000000E-12 "" est_needed_step_err = 1.000000000000E-12 "" opt_iter = 1 Radius of convergence (given) for eq 1 = 21.5 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.000000000000007 " " Order of pole (three term test) = 0.9999999999999486 " " "NO COMPLEX POLE (six term test) for Equation 1" min_size = 4.653938071986055 "" glob_desired_digits_correct = 10. "" estimated_h = 1.000E-3 "" estimated_answer = 4.653938071986055 "" desired_abs_gbl_error = 4.65393807198605460000000000E-10 "" range = 10. "" estimated_steps = 10000. "" step_error = 4.653938071986054600000000000E-12 "" est_needed_step_err = 4.653938071986054600000000000E-12 "" hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 4.2316572465437513000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-115 "" estimated_step_error = 4.2316572465437513000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-115 "" "Double H and LOOP" opt_iter = 2 Radius of convergence (given) for eq 1 = 21.5 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.000000000000007 " " Order of pole (three term test) = 0.9999999999999486 " " "NO COMPLEX POLE (six term test) for Equation 1" min_size = 4.653938071986055 "" glob_desired_digits_correct = 10. "" estimated_h = 2.000E-3 "" estimated_answer = 4.653938071986055 "" desired_abs_gbl_error = 4.65393807198605460000000000E-10 "" range = 10. "" estimated_steps = 5000. "" step_error = 6.581662339847172000000000000E-12 "" est_needed_step_err = 6.581662339847172000000000000E-12 "" hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 2.839757348594037500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-107 "" estimated_step_error = 2.839757348594037500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-107 "" "Double H and LOOP" opt_iter = 3 Radius of convergence (given) for eq 1 = 21.5 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.000000000000007 " " Order of pole (three term test) = 0.9999999999999486 " " "NO COMPLEX POLE (six term test) for Equation 1" min_size = 4.653938071986055 "" glob_desired_digits_correct = 10. "" estimated_h = 4.000E-3 "" estimated_answer = 4.653938071986055 "" desired_abs_gbl_error = 4.65393807198605460000000000E-10 "" range = 10. "" estimated_steps = 2500. "" step_error = 9.307876143972109000000000000E-12 "" est_needed_step_err = 9.307876143972109000000000000E-12 "" hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.9056486963326466000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-99 "" estimated_step_error = 1.9056486963326466000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-99 "" "Double H and LOOP" opt_iter = 4 Radius of convergence (given) for eq 1 = 21.5 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.000000000000007 " " Order of pole (three term test) = 0.9999999999999486 " " "NO COMPLEX POLE (six term test) for Equation 1" min_size = 4.653938071986055 "" glob_desired_digits_correct = 10. "" estimated_h = 8.000E-3 "" estimated_answer = 4.653938071986055 "" desired_abs_gbl_error = 4.65393807198605460000000000E-10 "" range = 10. "" estimated_steps = 1250. "" step_error = 1.316332467969434400000000000E-11 "" est_needed_step_err = 1.316332467969434400000000000E-11 "" hn_div_ho = 0.5 "" hn_div_ho_2 = 0.25 "" hn_div_ho_3 = 0.125 "" max_estimated_step_error = 1.27875156205667220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 "" estimated_step_error = 1.27875156205667220000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E-91 "" "Double H and LOOP" opt_iter = 5 "SETTING H FOR DISPLAY INTERVAL" Radius of convergence (given) for eq 1 = 21.5 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 13.750000000000005 " " Order of pole (three term test) = 0.9999999999999486 " " "NO COMPLEX POLE (six term test) for Equation 1" "START of Soultion" " " "TOP MAIN SOLVE Loop" x[1] = 20. " " y[1] (analytic) = -4.653938071986055 " " y[1] (numeric) = -4.653938071986055 " " absolute error = 0.0 " " relative error = 0.0 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.5 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.000000000000185 " " Order of pole (three term test) = 0.9999999999998814 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.01 " " y[1] (analytic) = -4.646051225999408 " " y[1] (numeric) = -4.646051225999414 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.33817916236244030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.51 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.01000000000005 " " Order of pole (three term test) = 1.000000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.020000000000003 " " y[1] (analytic) = -4.638159836623249 " " y[1] (numeric) = -4.638159836623248 " " absolute error = 8.8817841970012520000000000000000E-16 " " relative error = 1.91493706768577380000000000000E-14 "%" Correct digits = 17 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.520000000000003 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.020000000000163 " " Order of pole (three term test) = 0.999999999999838 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.030000000000005 " " y[1] (analytic) = -4.630263905920852 " " y[1] (numeric) = -4.630263905920859 " " absolute error = 6.217248937900877000000000000000E-15 " " relative error = 1.34274181001879820000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.530000000000005 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.03000000000006 " " Order of pole (three term test) = 1.0000000000000517 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.040000000000006 " " y[1] (analytic) = -4.622363435953666 " " y[1] (numeric) = -4.622363435953674 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.72933303234558850000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.540000000000006 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.039999999999868 " " Order of pole (three term test) = 1.0000000000001628 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.050000000000008 " " y[1] (analytic) = -4.614458428781244 " " y[1] (numeric) = -4.614458428781252 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.73229554468266660000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.550000000000008 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.050000000000292 " " Order of pole (three term test) = 0.9999999999996563 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.06000000000001 " " y[1] (analytic) = -4.6065488864612725 " " y[1] (numeric) = -4.606548886461283 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 2.31369324392192270000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.56000000000001 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.060000000000066 " " Order of pole (three term test) = 0.9999999999999613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.07000000000001 " " y[1] (analytic) = -4.598634811049582 " " y[1] (numeric) = -4.59863481104959 " " absolute error = 7.993605777301127000000000000000E-15 " " relative error = 1.73825626642370530000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.57000000000001 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.069999999999805 " " Order of pole (three term test) = 1.000000000000228 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.080000000000013 " " y[1] (analytic) = -4.590716204600124 " " y[1] (numeric) = -4.590716204600135 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 2.3216728199668540000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.580000000000013 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.080000000000172 " " Order of pole (three term test) = 0.9999999999998722 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.090000000000014 " " y[1] (analytic) = -4.582793069165 " " y[1] (numeric) = -4.582793069165017 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 3.8761445533125690000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.590000000000014 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.090000000000074 " " Order of pole (three term test) = 0.9999999999999037 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.100000000000016 " " y[1] (analytic) = -4.574865406794470 " " y[1] (numeric) = -4.57486540679448 " " absolute error = 1.065814103640150300000000000000E-14 " " relative error = 2.3297168525597090000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.600000000000016 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.100000000000062 " " Order of pole (three term test) = 0.9999999999999991 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.110000000000017 " " y[1] (analytic) = -4.566933219536892 " " y[1] (numeric) = -4.56693321953691 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 3.88960546171590650000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.610000000000017 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.11000000000009 " " Order of pole (three term test) = 0.9999999999999933 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.12000000000002 " " y[1] (analytic) = -4.558996509438828 " " y[1] (numeric) = -4.558996509438843 " " absolute error = 1.50990331349021300000000000000E-14 " " relative error = 3.31192031045461100000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.62000000000002 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.120000000000132 " " Order of pole (three term test) = 0.9999999999999819 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.13000000000002 " " y[1] (analytic) = -4.551055278544943 " " y[1] (numeric) = -4.551055278544961 " " absolute error = 1.776356839400250500000000000000E-14 " " relative error = 3.9031757047086113000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.63000000000002 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.13000000000016 " " Order of pole (three term test) = 0.9999999999998713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.140000000000022 " " y[1] (analytic) = -4.5431095288980785 " " y[1] (numeric) = -4.543109528898102 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 5.0830029003954750000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.640000000000022 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.14000000000001 " " Order of pole (three term test) = 0.9999999999999367 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.150000000000023 " " y[1] (analytic) = -4.535159262539235 " " y[1] (numeric) = -4.5351592625392545 " " absolute error = 1.953992523340275500000000000000E-14 " " relative error = 4.3085422368303670000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.650000000000023 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.150000000000055 " " Order of pole (three term test) = 0.9999999999999218 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.160000000000025 " " y[1] (analytic) = -4.527204481507546 " " y[1] (numeric) = -4.527204481507568 " " absolute error = 2.22044604925031300000000000000E-14 " " relative error = 4.9046736420240317000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.660000000000025 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.1599999999999 " " Order of pole (three term test) = 1.0000000000002194 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.170000000000027 " " y[1] (analytic) = -4.519245187840333 " " y[1] (numeric) = -4.51924518784035 " " absolute error = 1.68753899743023800000000000000E-14 " " relative error = 3.73411693167434170000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.670000000000027 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.169999999999895 " " Order of pole (three term test) = 1.0000000000000673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.180000000000028 " " y[1] (analytic) = -4.511281383573046 " " y[1] (numeric) = -4.511281383573069 " " absolute error = 2.309263891220325600000000000000E-14 " " relative error = 5.1188646747442120000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.680000000000028 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.179999999999975 " " Order of pole (three term test) = 1.0000000000000704 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.19000000000003 " " y[1] (analytic) = -4.503313070739331 " " y[1] (numeric) = -4.503313070739359 " " absolute error = 2.753353101070388000000000000000E-14 " " relative error = 6.1140610431029980000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.69000000000003 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.190000000000204 " " Order of pole (three term test) = 0.9999999999998339 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.20000000000003 " " y[1] (analytic) = -4.4953402513709975 " " y[1] (numeric) = -4.4953402513710214 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 5.3345944891690160000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.70000000000003 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.200000000000244 " " Order of pole (three term test) = 0.9999999999997605 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.210000000000033 " " y[1] (analytic) = -4.487362927497998 " " y[1] (numeric) = -4.487362927498027 " " absolute error = 2.93098878501041300000000000000E-14 " " relative error = 6.5316508434155870000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.710000000000033 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.21000000000004 " " Order of pole (three term test) = 0.9999999999999731 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.220000000000034 " " y[1] (analytic) = -4.479381101148494 " " y[1] (numeric) = -4.479381101148518 " " absolute error = 2.39808173319033800000000000000E-14 " " relative error = 5.3536005957954340000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.720000000000034 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.220000000000205 " " Order of pole (three term test) = 0.9999999999998781 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.230000000000036 " " y[1] (analytic) = -4.471394774348780 " " y[1] (numeric) = -4.471394774348813 " " absolute error = 3.19744231092045100000000000000E-14 " " relative error = 7.1508834989550440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.730000000000036 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.230000000000118 " " Order of pole (three term test) = 0.9999999999999225 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.240000000000038 " " y[1] (analytic) = -4.4634039491233715 " " y[1] (numeric) = -4.463403949123404 " " absolute error = 3.286260152890463400000000000000E-14 " " relative error = 7.3626769845375450000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.740000000000038 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.240000000000336 " " Order of pole (three term test) = 0.9999999999997659 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.25000000000004 " " y[1] (analytic) = -4.455408627494936 " " y[1] (numeric) = -4.455408627494967 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 6.9771927310251440000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.75000000000004 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.249999999999993 " " Order of pole (three term test) = 1.0000000000000675 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.26000000000004 " " y[1] (analytic) = -4.447408811484319 " " y[1] (numeric) = -4.447408811484356 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 8.3876916219346280000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.76000000000004 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.260000000000026 " " Order of pole (three term test) = 0.9999999999999001 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.270000000000042 " " y[1] (analytic) = -4.43940450311058 " " y[1] (numeric) = -4.4394045031106115 " " absolute error = 3.10862446895043830000000000000E-14 " " relative error = 7.0023456226444390000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.770000000000042 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.270000000000195 " " Order of pole (three term test) = 0.9999999999998337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.280000000000044 " " y[1] (analytic) = -4.431395704390923 " " y[1] (numeric) = -4.431395704390959 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 8.2175724392255030000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.780000000000044 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.27999999999999 " " Order of pole (three term test) = 1.000000000000044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.290000000000045 " " y[1] (analytic) = -4.423382417340775 " " y[1] (numeric) = -4.4233824173408145 " " absolute error = 3.90798504668055100000000000000E-14 " " relative error = 8.8348342466621550000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.790000000000045 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.29000000000012 " " Order of pole (three term test) = 0.9999999999999949 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.300000000000047 " " y[1] (analytic) = -4.415364643973750 " " y[1] (numeric) = -4.415364643973786 " " absolute error = 3.641531520770513500000000000000E-14 " " relative error = 8.2474083442702940000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.800000000000047 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.300000000000022 " " Order of pole (three term test) = 1.0000000000000626 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.31000000000005 " " y[1] (analytic) = -4.407342386301632 " " y[1] (numeric) = -4.407342386301674 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 9.4715549796291590000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.81000000000005 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.31000000000009 " " Order of pole (three term test) = 1.000000000000031 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.32000000000005 " " y[1] (analytic) = -4.39931564633444 " " y[1] (numeric) = -4.399315646334477 " " absolute error = 3.73034936274052600000000000000E-14 " " relative error = 8.4793855740919520000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.82000000000005 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.320000000000025 " " Order of pole (three term test) = 0.9999999999999808 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.33000000000005 " " y[1] (analytic) = -4.39128442608035 " " y[1] (numeric) = -4.391284426080392 " " absolute error = 4.174438572590588600000000000000E-14 " " relative error = 9.5061903706307680000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.83000000000005 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.330000000000137 " " Order of pole (three term test) = 0.9999999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.340000000000053 " " y[1] (analytic) = -4.383248727545770 " " y[1] (numeric) = -4.3832487275458165 " " absolute error = 4.70734562441066400000000000000E-14 " " relative error = 1.0739398827240088000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.840000000000053 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.34000000000026 " " Order of pole (three term test) = 0.9999999999998771 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.350000000000055 " " y[1] (analytic) = -4.375208552735309 " " y[1] (numeric) = -4.375208552735353 " " absolute error = 4.44089209850062600000000000000E-14 " " relative error = 1.0150126662474758000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.850000000000055 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.350000000000072 " " Order of pole (three term test) = 0.999999999999956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.360000000000056 " " y[1] (analytic) = -4.367163903651761 " " y[1] (numeric) = -4.36716390365181 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.1185706367159556000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.860000000000056 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.360000000000028 " " Order of pole (three term test) = 1.0000000000000415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.370000000000058 " " y[1] (analytic) = -4.35911478229616 " " y[1] (numeric) = -4.359114782296204 " " absolute error = 4.352074256530613600000000000000E-14 " " relative error = 9.983848725906139000000000000E-13 "%" Correct digits = 16 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.870000000000058 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.370000000000047 " " Order of pole (three term test) = 0.9999999999999497 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.38000000000006 " " y[1] (analytic) = -4.351061190667710 " " y[1] (numeric) = -4.351061190667762 " " absolute error = 5.151434834260726000000000000000E-14 " " relative error = 1.183949066335744000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.88000000000006 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.380000000000134 " " Order of pole (three term test) = 0.9999999999999468 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.39000000000006 " " y[1] (analytic) = -4.343003130763872 " " y[1] (numeric) = -4.343003130763925 " " absolute error = 5.329070518200751000000000000000E-14 " " relative error = 1.2270473581867862000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.89000000000006 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.390000000000104 " " Order of pole (three term test) = 1.0000000000000597 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.400000000000063 " " y[1] (analytic) = -4.334940604580304 " " y[1] (numeric) = -4.334940604580352 " " absolute error = 4.79616346638067600000000000000E-14 " " relative error = 1.106396581607841100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.900000000000063 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.4 " " Order of pole (three term test) = 1.0000000000001634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.410000000000064 " " y[1] (analytic) = -4.326873614110859 " " y[1] (numeric) = -4.326873614110915 " " absolute error = 5.59552404411078900000000000000E-14 " " relative error = 1.293202562206252000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.910000000000064 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.40999999999989 " " Order of pole (three term test) = 1.0000000000002003 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.420000000000066 " " y[1] (analytic) = -4.318802161347662 " " y[1] (numeric) = -4.318802161347711 " " absolute error = 4.88498130835068900000000000000E-14 " " relative error = 1.1310963377925035000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.920000000000066 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.42000000000009 " " Order of pole (three term test) = 1.0000000000000095 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.430000000000067 " " y[1] (analytic) = -4.310726248281 " " y[1] (numeric) = -4.310726248281059 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 1.359858462911771000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.930000000000067 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.430000000000074 " " Order of pole (three term test) = 0.9999999999999294 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.44000000000007 " " y[1] (analytic) = -4.30264587689944 " " y[1] (numeric) = -4.3026458768995015 " " absolute error = 6.12843109593086400000000000000E-14 " " relative error = 1.4243401086838026000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.94000000000007 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.440000000000282 " " Order of pole (three term test) = 0.9999999999998315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.45000000000007 " " y[1] (analytic) = -4.294561049189753 " " y[1] (numeric) = -4.294561049189811 " " absolute error = 5.86197757002082700000000000000E-14 " " relative error = 1.3649771194024116000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.95000000000007 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.45000000000018 " " Order of pole (three term test) = 0.9999999999999257 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.460000000000072 " " y[1] (analytic) = -4.286471767136927 " " y[1] (numeric) = -4.286471767136990 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 1.4504350607337788000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.960000000000072 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.46000000000018 " " Order of pole (three term test) = 0.999999999999979 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.470000000000073 " " y[1] (analytic) = -4.278378032724213 " " y[1] (numeric) = -4.2783780327242695 " " absolute error = 5.68434188608080100000000000000E-14 " " relative error = 1.3286207629626773000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.970000000000073 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.470000000000116 " " Order of pole (three term test) = 0.9999999999998571 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.480000000000075 " " y[1] (analytic) = -4.2702798479330575 " " y[1] (numeric) = -4.2702798479331205 " " absolute error = 6.30606677987088900000000000000E-14 " " relative error = 1.476733845188908000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.980000000000075 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.480000000000196 " " Order of pole (three term test) = 0.9999999999999594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.490000000000077 " " y[1] (analytic) = -4.262177214743183 " " y[1] (numeric) = -4.262177214743248 " " absolute error = 6.57252030578092700000000000000E-14 " " relative error = 1.5420570226517327000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 21.990000000000077 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.48999999999985 " " Order of pole (three term test) = 1.0000000000000766 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.500000000000078 " " y[1] (analytic) = -4.254070135132537 " " y[1] (numeric) = -4.254070135132599 " " absolute error = 6.21724893790087700000000000000E-14 " " relative error = 1.4614824721753622000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.000000000000078 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.500000000000107 " " Order of pole (three term test) = 1.0000000000000275 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.51000000000008 " " y[1] (analytic) = -4.245958611077292 " " y[1] (numeric) = -4.245958611077358 " " absolute error = 6.66133814775093900000000000000E-14 " " relative error = 1.5688655396621526000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.01000000000008 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.5100000000001 " " Order of pole (three term test) = 0.9999999999999056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.52000000000008 " " y[1] (analytic) = -4.237842644551897 " " y[1] (numeric) = -4.237842644551958 " " absolute error = 6.12843109593086400000000000000E-14 " " relative error = 1.4461204933622250000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.02000000000008 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.520000000000014 " " Order of pole (three term test) = 1.0000000000001268 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.530000000000083 " " y[1] (analytic) = -4.229722237529007 " " y[1] (numeric) = -4.229722237529076 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 1.63788336080153000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.030000000000083 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.530000000000125 " " Order of pole (three term test) = 0.9999999999998849 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.540000000000084 " " y[1] (analytic) = -4.221597391979568 " " y[1] (numeric) = -4.22159739197964 " " absolute error = 7.19424519957101400000000000000E-14 " " relative error = 1.704152369725984000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.040000000000084 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.540000000000028 " " Order of pole (three term test) = 1.000000000000038 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.550000000000086 " " y[1] (analytic) = -4.213468109872757 " " y[1] (numeric) = -4.213468109872826 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 1.6442017580311508000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.050000000000086 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.54999999999996 " " Order of pole (three term test) = 1.0000000000000306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.560000000000088 " " y[1] (analytic) = -4.205334393175992 " " y[1] (numeric) = -4.2053343931760665 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 1.7741035617970236000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.060000000000088 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.559999999999896 " " Order of pole (three term test) = 1.000000000000044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.57000000000009 " " y[1] (analytic) = -4.197196243854979 " " y[1] (numeric) = -4.197196243855048 " " absolute error = 6.92779167366097700000000000000E-14 " " relative error = 1.650576068203577800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.07000000000009 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.570000000000018 " " Order of pole (three term test) = 1.0000000000000198 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.58000000000009 " " y[1] (analytic) = -4.18905366387364 " " y[1] (numeric) = -4.189053663873716 " " absolute error = 7.63833440942107700000000000000E-14 " " relative error = 1.823403332187888000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.08000000000009 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.58000000000025 " " Order of pole (three term test) = 0.9999999999999339 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.590000000000092 " " y[1] (analytic) = -4.1809066551942 " " y[1] (numeric) = -4.180906655194277 " " absolute error = 7.7271522513910900000000000000E-14 " " relative error = 1.848200136635714800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.090000000000092 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.590000000000124 " " Order of pole (three term test) = 0.9999999999999188 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.600000000000094 " " y[1] (analytic) = -4.172755219777127 " " y[1] (numeric) = -4.172755219777199 " " absolute error = 7.19424519957101400000000000000E-14 " " relative error = 1.7240995027633732000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.100000000000094 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.60000000000004 " " Order of pole (three term test) = 0.9999999999999774 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.610000000000095 " " y[1] (analytic) = -4.1645993595811355 " " y[1] (numeric) = -4.164599359581215 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 1.919417712753311000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.110000000000095 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.610000000000273 " " Order of pole (three term test) = 0.9999999999997776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.620000000000097 " " y[1] (analytic) = -4.156439076563252 " " y[1] (numeric) = -4.156439076563327 " " absolute error = 7.46069872548105200000000000000E-14 " " relative error = 1.7949736753148618000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.120000000000097 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.62000000000003 " " Order of pole (three term test) = 1.0000000000002203 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.6300000000001 " " y[1] (analytic) = -4.148274372678728 " " y[1] (numeric) = -4.148274372678805 " " absolute error = 7.7271522513910900000000000000E-14 " " relative error = 1.862738950509996700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.1300000000001 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.630000000000074 " " Order of pole (three term test) = 1.0000000000000708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.6400000000001 " " y[1] (analytic) = -4.14010524988111 " " y[1] (numeric) = -4.140105249881191 " " absolute error = 8.17124146124115200000000000000E-14 " " relative error = 1.973679645336505200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.1400000000001 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.640000000000317 " " Order of pole (three term test) = 0.9999999999997727 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.6500000000001 " " y[1] (analytic) = -4.131931710122224 " " y[1] (numeric) = -4.131931710122304 " " absolute error = 7.99360577730112700000000000000E-14 " " relative error = 1.934592906683027800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.1500000000001 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.65000000000023 " " Order of pole (three term test) = 0.9999999999998065 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.660000000000103 " " y[1] (analytic) = -4.123753755352151 " " y[1] (numeric) = -4.123753755352236 " " absolute error = 8.4376949871511900000000000000E-14 " " relative error = 2.0461199886632528000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.160000000000103 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.660000000000096 " " Order of pole (three term test) = 1.0000000000000078 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.670000000000105 " " y[1] (analytic) = -4.115571387519278 " " y[1] (numeric) = -4.115571387519359 " " absolute error = 8.0824236192711400000000000000E-14 " " relative error = 1.963864275026690800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.170000000000105 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.670000000000062 " " Order of pole (three term test) = 0.9999999999999922 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.680000000000106 " " y[1] (analytic) = -4.107384608570240 " " y[1] (numeric) = -4.107384608570326 " " absolute error = 8.70414851306122700000000000000E-14 " " relative error = 2.119146206785611800000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.180000000000106 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.680000000000287 " " Order of pole (three term test) = 0.9999999999999208 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.690000000000108 " " y[1] (analytic) = -4.099193420449986 " " y[1] (numeric) = -4.099193420450075 " " absolute error = 8.97060203897126500000000000000E-14 " " relative error = 2.18838223007942980000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.190000000000108 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.68999999999997 " " Order of pole (three term test) = 1.0000000000000515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.70000000000011 " " y[1] (analytic) = -4.090997825101741 " " y[1] (numeric) = -4.0909978251018275 " " absolute error = 8.61533067109121500000000000000E-14 " " relative error = 2.1059240408852956000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.20000000000011 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.70000000000024 " " Order of pole (three term test) = 0.9999999999998708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.71000000000011 " " y[1] (analytic) = -4.082797824467004 " " y[1] (numeric) = -4.082797824467094 " " absolute error = 8.97060203897126500000000000000E-14 " " relative error = 2.1971702799519220000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.21000000000011 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.710000000000363 " " Order of pole (three term test) = 0.9999999999996896 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.720000000000113 " " y[1] (analytic) = -4.074593420485584 " " y[1] (numeric) = -4.074593420485675 " " absolute error = 9.05941988094127700000000000000E-14 " " relative error = 2.223392359933088200000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.220000000000113 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.720000000000272 " " Order of pole (three term test) = 0.9999999999998834 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.730000000000114 " " y[1] (analytic) = -4.0663846150955685 " " y[1] (numeric) = -4.066384615095663 " " absolute error = 9.41469124882132700000000000000E-14 " " relative error = 2.3152485905714215000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.230000000000114 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.72999999999999 " " Order of pole (three term test) = 1.000000000000057 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.740000000000116 " " y[1] (analytic) = -4.058171410233350 " " y[1] (numeric) = -4.058171410233445 " " absolute error = 9.59232693276135300000000000000E-14 " " relative error = 2.363706695230447000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.240000000000116 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.740000000000148 " " Order of pole (three term test) = 1.0000000000000668 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.750000000000117 " " y[1] (analytic) = -4.049953807833614 " " y[1] (numeric) = -4.049953807833707 " " absolute error = 9.32587340685131500000000000000E-14 " " relative error = 2.3027110553243263000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.250000000000117 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.750000000000327 " " Order of pole (three term test) = 0.9999999999998334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.76000000000012 " " y[1] (analytic) = -4.041731809829333 " " y[1] (numeric) = -4.0417318098294315 " " absolute error = 9.8587804586713900000000000000E-14 " " relative error = 2.43924657115923000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.26000000000012 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.760000000000133 " " Order of pole (three term test) = 1.000000000000026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.77000000000012 " " y[1] (analytic) = -4.033505418151812 " " y[1] (numeric) = -4.033505418151904 " " absolute error = 9.23705556488130200000000000000E-14 " " relative error = 2.2900813578462487000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.27000000000012 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.77000000000006 " " Order of pole (three term test) = 0.9999999999999319 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.780000000000122 " " y[1] (analytic) = -4.025274634730610 " " y[1] (numeric) = -4.025274634730713 " " absolute error = 1.0214051826551440000000000000E-13 " " relative error = 2.537479489827409000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.280000000000122 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.780000000000133 " " Order of pole (three term test) = 0.9999999999998995 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.790000000000123 " " y[1] (analytic) = -4.017039461493649 " " y[1] (numeric) = -4.017039461493753 " " absolute error = 1.03916875104914650000000000000E-13 " " relative error = 2.5869020232695300000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.290000000000123 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.7900000000002 " " Order of pole (three term test) = 0.9999999999998584 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.800000000000125 " " y[1] (analytic) = -4.00879990036713 " " y[1] (numeric) = -4.008799900367228 " " absolute error = 9.76996261670137800000000000000E-14 " " relative error = 2.4371290310116586000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.300000000000125 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.80000000000025 " " Order of pole (three term test) = 0.9999999999999151 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.810000000000127 " " y[1] (analytic) = -4.000555953275544 " " y[1] (numeric) = -4.000555953275649 " " absolute error = 1.04805053524614780000000000000E-13 " " relative error = 2.6197622217682850000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.310000000000127 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.81 " " Order of pole (three term test) = 1.000000000000141 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.820000000000128 " " y[1] (analytic) = -3.992307622141741 " " y[1] (numeric) = -3.992307622141843 " " absolute error = 1.0214051826551440000000000000E-13 " " relative error = 2.5584330651033200000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.320000000000128 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.820000000000068 " " Order of pole (three term test) = 1.0000000000001288 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.83000000000013 " " y[1] (analytic) = -3.9840549088868435 " " y[1] (numeric) = -3.9840549088869506 " " absolute error = 1.07025499573865090000000000000E-13 " " relative error = 2.6863459972686050000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.33000000000013 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.830000000000204 " " Order of pole (three term test) = 1.000000000000024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.84000000000013 " " y[1] (analytic) = -3.975797815430319 " " y[1] (numeric) = -3.9757978154304285 " " absolute error = 1.09690034832965470000000000000E-13 " " relative error = 2.7589439887323150000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.34000000000013 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.840000000000206 " " Order of pole (three term test) = 0.999999999999937 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.850000000000133 " " y[1] (analytic) = -3.9675363436899467 " " y[1] (numeric) = -3.967536343690054 " " absolute error = 1.07469588783715150000000000000E-13 " " relative error = 2.7087234866704385000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.350000000000133 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.849999999999838 " " Order of pole (three term test) = 1.000000000000161 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.860000000000134 " " y[1] (analytic) = -3.959270495581812 " " y[1] (numeric) = -3.959270495581925 " " absolute error = 1.1279865930191590000000000000E-13 " " relative error = 2.848975825920179000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.360000000000134 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.860000000000127 " " Order of pole (three term test) = 0.9999999999999539 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.870000000000136 " " y[1] (analytic) = -3.9510002730203553 " " y[1] (numeric) = -3.9510002730204627 " " absolute error = 1.07469588783715150000000000000E-13 " " relative error = 2.720060272270234000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.370000000000136 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.87000000000017 " " Order of pole (three term test) = 0.9999999999998858 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.880000000000138 " " y[1] (analytic) = -3.942725677918304 " " y[1] (numeric) = -3.9427256779184154 " " absolute error = 1.11466391672365720000000000000E-13 " " relative error = 2.8271404296942665000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.380000000000138 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.880000000000205 " " Order of pole (three term test) = 0.9999999999998241 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.89000000000014 " " y[1] (analytic) = -3.9344467121867446 " " y[1] (numeric) = -3.9344467121868583 " " absolute error = 1.13686837721616030000000000000E-13 " " relative error = 2.8895254158475947000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.39000000000014 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.89000000000029 " " Order of pole (three term test) = 0.9999999999998554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.90000000000014 " " y[1] (analytic) = -3.9261633777350866 " " y[1] (numeric) = -3.926163377735197 " " absolute error = 1.10578213252665590000000000000E-13 " " relative error = 2.8164445188334375000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.40000000000014 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.900000000000542 " " Order of pole (three term test) = 0.9999999999996839 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.910000000000142 " " y[1] (analytic) = -3.917875676471052 " " y[1] (numeric) = -3.91787567647117 " " absolute error = 1.18127729820116660000000000000E-13 " " relative error = 3.0150964342625040000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.410000000000142 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.910000000000228 " " Order of pole (three term test) = 0.9999999999999053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.920000000000144 " " y[1] (analytic) = -3.9095836103007393 " " y[1] (numeric) = -3.90958361030085 " " absolute error = 1.10578213252665590000000000000E-13 " " relative error = 2.8283885005380290000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.420000000000144 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.920000000000243 " " Order of pole (three term test) = 0.999999999999924 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.930000000000145 " " y[1] (analytic) = -3.9012871811285272 " " y[1] (numeric) = -3.9012871811286463 " " absolute error = 1.19015908239816780000000000000E-13 " " relative error = 3.0506830877646135000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.430000000000145 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.930000000000096 " " Order of pole (three term test) = 1.0000000000000708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.940000000000147 " " y[1] (analytic) = -3.8929863908571853 " " y[1] (numeric) = -3.8929863908573075 " " absolute error = 1.22124532708767220000000000000E-13 " " relative error = 3.137039805625341000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.440000000000147 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.940000000000197 " " Order of pole (three term test) = 1.0000000000000187 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.95000000000015 " " y[1] (analytic) = -3.8846812413878027 " " y[1] (numeric) = -3.884681241387923 " " absolute error = 1.20348175869366970000000000000E-13 " " relative error = 3.098019332633134000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.45000000000015 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.950000000000145 " " Order of pole (three term test) = 0.999999999999929 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.96000000000015 " " y[1] (analytic) = -3.876371734619802 " " y[1] (numeric) = -3.8763717346199256 " " absolute error = 1.2345680033831741000000000000E-13 " " relative error = 3.1848545183560980000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.46000000000015 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.959999999999994 " " Order of pole (three term test) = 1.000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.97000000000015 " " y[1] (analytic) = -3.8680578724509758 " " y[1] (numeric) = -3.8680578724510934 " " absolute error = 1.1768364061026660000000000000E-13 " " relative error = 3.0424477732981010000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.47000000000015 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.970000000000237 " " Order of pole (three term test) = 0.9999999999998977 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.980000000000153 " " y[1] (analytic) = -3.8597396567774283 " " y[1] (numeric) = -3.8597396567775526 " " absolute error = 1.24344978758017530000000000000E-13 " " relative error = 3.2215897914170616000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.480000000000153 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.980000000000235 " " Order of pole (three term test) = 1.0000000000000375 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 20.990000000000155 " " y[1] (analytic) = -3.8514170894936512 " " y[1] (numeric) = -3.8514170894937787 " " absolute error = 1.27453603226967970000000000000E-13 " " relative error = 3.309265142294012000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.490000000000155 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 22.990000000000318 " " Order of pole (three term test) = 0.9999999999998521 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.000000000000156 " " y[1] (analytic) = -3.8430901724924773 " " y[1] (numeric) = -3.8430901724925994 " " absolute error = 1.22124532708767220000000000000E-13 " " relative error = 3.1777691187912470000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.500000000000156 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.000000000000387 " " Order of pole (three term test) = 0.9999999999998018 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.010000000000158 " " y[1] (analytic) = -3.8347589076650657 " " y[1] (numeric) = -3.8347589076651962 " " absolute error = 1.3056222769591840000000000000E-13 " " relative error = 3.4047049851020755000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.510000000000158 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.010000000000066 " " Order of pole (three term test) = 1.000000000000195 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.02000000000016 " " y[1] (analytic) = -3.8264232969009804 " " y[1] (numeric) = -3.826423296901107 " " absolute error = 1.26565424807267850000000000000E-13 " " relative error = 3.3076691987991286000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.52000000000016 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.02000000000017 " " Order of pole (three term test) = 0.9999999999999688 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.03000000000016 " " y[1] (analytic) = -3.8180833420880944 " " y[1] (numeric) = -3.8180833420882276 " " absolute error = 1.33226762955018780000000000000E-13 " " relative error = 3.489362358500996000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.53000000000016 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.030000000000204 " " Order of pole (three term test) = 1.0000000000000142 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.040000000000163 " " y[1] (analytic) = -3.809739045112682 " " y[1] (numeric) = -3.809739045112815 " " absolute error = 1.32782673745168720000000000000E-13 " " relative error = 3.485348265926738000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.540000000000163 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.03999999999999 " " Order of pole (three term test) = 1.0000000000002616 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.050000000000164 " " y[1] (analytic) = -3.801390407859355 " " y[1] (numeric) = -3.801390407859488 " " absolute error = 1.33226762955018780000000000000E-13 " " relative error = 3.5046850931062795000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.550000000000164 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.050000000000132 " " Order of pole (three term test) = 1.0000000000000226 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.060000000000166 " " y[1] (analytic) = -3.7930374322110936 " " y[1] (numeric) = -3.7930374322112312 " " absolute error = 1.3766765505351940000000000000E-13 " " relative error = 3.629483165244382000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.560000000000166 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.060000000000258 " " Order of pole (three term test) = 0.9999999999998592 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.070000000000167 " " y[1] (analytic) = -3.784680120049263 " " y[1] (numeric) = -3.7846801200493956 " " absolute error = 1.32782673745168720000000000000E-13 " " relative error = 3.508425270652474000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.570000000000167 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.07000000000021 " " Order of pole (three term test) = 0.9999999999999915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.08000000000017 " " y[1] (analytic) = -3.776318473253564 " " y[1] (numeric) = -3.7763184732537005 " " absolute error = 1.36335387423969220000000000000E-13 " " relative error = 3.6102725018980375000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.58000000000017 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.080000000000144 " " Order of pole (three term test) = 1.0000000000000036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.09000000000017 " " y[1] (analytic) = -3.767952493702097 " " y[1] (numeric) = -3.7679524937022375 " " absolute error = 1.40332190312619800000000000000E-13 " " relative error = 3.724361985645426300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.59000000000017 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.090000000000007 " " Order of pole (three term test) = 1.000000000000128 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.100000000000172 " " y[1] (analytic) = -3.759582183271334 " " y[1] (numeric) = -3.7595821832714704 " " absolute error = 1.36335387423969220000000000000E-13 " " relative error = 3.626344119583506000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.600000000000172 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.10000000000031 " " Order of pole (three term test) = 0.9999999999998931 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.110000000000174 " " y[1] (analytic) = -3.7512075438360952 " " y[1] (numeric) = -3.751207543836239 " " absolute error = 1.4388490399142030000000000000E-13 " " relative error = 3.83569563427246000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.610000000000174 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.110000000000134 " " Order of pole (three term test) = 1.0000000000000906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.120000000000175 " " y[1] (analytic) = -3.74282857726962 " " y[1] (numeric) = -3.7428285772697607 " " absolute error = 1.40776279522469850000000000000E-13 " " relative error = 3.761227013639124000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.620000000000175 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.1200000000003 " " Order of pole (three term test) = 0.999999999999905 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.130000000000177 " " y[1] (analytic) = -3.7344452854434884 " " y[1] (numeric) = -3.734445285443632 " " absolute error = 1.43440814781570230000000000000E-13 " " relative error = 3.841020655482324000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.630000000000177 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.130000000000457 " " Order of pole (three term test) = 0.999999999999784 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.140000000000178 " " y[1] (analytic) = -3.726057670227682 " " y[1] (numeric) = -3.726057670227831 " " absolute error = 1.48769885299770980000000000000E-13 " " relative error = 3.992688746835213000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.640000000000178 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.140000000000327 " " Order of pole (three term test) = 0.9999999999999281 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.15000000000018 " " y[1] (analytic) = -3.7176657334905734 " " y[1] (numeric) = -3.71766573349072 " " absolute error = 1.46549439250520660000000000000E-13 " " relative error = 3.941974608699506700000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.65000000000018 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.15000000000012 " " Order of pole (three term test) = 1.0000000000001135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.16000000000018 " " y[1] (analytic) = -3.7092694770989 " " y[1] (numeric) = -3.7092694770990473 " " absolute error = 1.4743761767022080000000000000E-13 " " relative error = 3.974842447562881000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.66000000000018 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.160000000000117 " " Order of pole (three term test) = 1.0000000000000355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.170000000000183 " " y[1] (analytic) = -3.7008689029178043 " " y[1] (numeric) = -3.7008689029179487 " " absolute error = 1.44328993201270350000000000000E-13 " " relative error = 3.899867760446198000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.670000000000183 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.170000000000318 " " Order of pole (three term test) = 1.000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.180000000000184 " " y[1] (analytic) = -3.692464012810799 " " y[1] (numeric) = -3.69246401281095 " " absolute error = 1.5099033134902130000000000000E-13 " " relative error = 4.089148352568060500000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.680000000000184 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.18000000000062 " " Order of pole (three term test) = 0.9999999999996263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.190000000000186 " " y[1] (analytic) = -3.684054808639818 " " y[1] (numeric) = -3.684054808639969 " " absolute error = 1.5099033134902130000000000000E-13 " " relative error = 4.098482221136338600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.690000000000186 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.190000000000214 " " Order of pole (three term test) = 1.0000000000000533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.200000000000188 " " y[1] (analytic) = -3.675641292265169 " " y[1] (numeric) = -3.6756412922653183 " " absolute error = 1.49213974509621040000000000000E-13 " " relative error = 4.059535810080795000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.700000000000188 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.20000000000029 " " Order of pole (three term test) = 0.9999999999998809 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.21000000000019 " " y[1] (analytic) = -3.6672234655455505 " " y[1] (numeric) = -3.6672234655457068 " " absolute error = 1.56319401867222040000000000000E-13 " " relative error = 4.2626091192936716000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.71000000000019 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.209999999999926 " " Order of pole (three term test) = 1.0000000000002758 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.22000000000019 " " y[1] (analytic) = -3.6588013303380897 " " y[1] (numeric) = -3.658801330338241 " " absolute error = 1.51434420558871350000000000000E-13 " " relative error = 4.138907988887118000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.72000000000019 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.220000000000102 " " Order of pole (three term test) = 1.0000000000001255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.230000000000192 " " y[1] (analytic) = -3.65037488849827 " " y[1] (numeric) = -3.650374888498429 " " absolute error = 1.58983937126322420000000000000E-13 " " relative error = 4.355276977914093000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.730000000000192 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.230000000000125 " " Order of pole (three term test) = 1.0000000000002478 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.240000000000194 " " y[1] (analytic) = -3.6419441418800176 " " y[1] (numeric) = -3.6419441418801797 " " absolute error = 1.62092561595272850000000000000E-13 " " relative error = 4.450715202666415000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.740000000000194 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.240000000000272 " " Order of pole (three term test) = 0.9999999999998248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.250000000000195 " " y[1] (analytic) = -3.633509092335647 " " y[1] (numeric) = -3.633509092335808 " " absolute error = 1.61204383175572730000000000000E-13 " " relative error = 4.436603269154043600000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.750000000000195 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.250000000000277 " " Order of pole (three term test) = 0.999999999999904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.260000000000197 " " y[1] (analytic) = -3.6250697417158726 " " y[1] (numeric) = -3.6250697417160347 " " absolute error = 1.62092561595272850000000000000E-13 " " relative error = 4.471432914240948000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.760000000000197 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.260000000000414 " " Order of pole (three term test) = 0.9999999999998472 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.2700000000002 " " y[1] (analytic) = -3.6166260918698327 " " y[1] (numeric) = -3.61662609186999 " " absolute error = 1.57207580286922170000000000000E-13 " " relative error = 4.3468021380569155000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.7700000000002 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.269999999999886 " " Order of pole (three term test) = 1.000000000000282 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.2800000000002 " " y[1] (analytic) = -3.6081781446450485 " " y[1] (numeric) = -3.6081781446452137 " " absolute error = 1.6520118606422330000000000000E-13 " " relative error = 4.5785207781218024000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.7800000000002 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.28000000000022 " " Order of pole (three term test) = 0.9999999999999082 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.2900000000002 " " y[1] (analytic) = -3.599725901887492 " " y[1] (numeric) = -3.5997259018876595 " " absolute error = 1.6742163211347360000000000000E-13 " " relative error = 4.650955008149014000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.7900000000002 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.290000000000177 " " Order of pole (three term test) = 0.9999999999999791 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.300000000000203 " " y[1] (analytic) = -3.59126936544153 " " y[1] (numeric) = -3.591269365441695 " " absolute error = 1.6520118606422330000000000000E-13 " " relative error = 4.600077834704904300000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.800000000000203 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.300000000000384 " " Order of pole (three term test) = 0.9999999999997934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.310000000000205 " " y[1] (analytic) = -3.582808537149937 " " y[1] (numeric) = -3.5828085371501053 " " absolute error = 1.68309810533173730000000000000E-13 " " relative error = 4.697705969715628000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.810000000000205 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.30999999999994 " " Order of pole (three term test) = 1.0000000000001228 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.320000000000206 " " y[1] (analytic) = -3.5743434188539283 " " y[1] (numeric) = -3.574343418854094 " " absolute error = 1.65645275274073360000000000000E-13 " " relative error = 4.634285401909859000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.820000000000206 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.320000000000274 " " Order of pole (three term test) = 0.9999999999999855 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.330000000000208 " " y[1] (analytic) = -3.565874012393113 " " y[1] (numeric) = -3.5658740123932855 " " absolute error = 1.7230661342182430000000000000E-13 " " relative error = 4.832100428197312000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.830000000000208 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.330000000000048 " " Order of pole (three term test) = 1.000000000000205 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.34000000000021 " " y[1] (analytic) = -3.557400319605552 " " y[1] (numeric) = -3.5574003196057276 " " absolute error = 1.75415237890774730000000000000E-13 " " relative error = 4.930995168691753000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.84000000000021 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.34000000000001 " " Order of pole (three term test) = 1.0000000000002134 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.35000000000021 " " y[1] (analytic) = -3.548922342327721 " " y[1] (numeric) = -3.5489223423278933 " " absolute error = 1.7230661342182430000000000000E-13 " " relative error = 4.855181286069203000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.85000000000021 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.350000000000257 " " Order of pole (three term test) = 0.9999999999999525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.360000000000213 " " y[1] (analytic) = -3.540440082394504 " " y[1] (numeric) = -3.5404400823946816 " " absolute error = 1.77635683940025050000000000000E-13 " " relative error = 5.017333433302585000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.860000000000213 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.36000000000028 " " Order of pole (three term test) = 1.0000000000000386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.370000000000214 " " y[1] (analytic) = -3.5319535416392505 " " y[1] (numeric) = -3.5319535416394214 " " absolute error = 1.7097434579227410000000000000E-13 " " relative error = 4.840786940615348000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.870000000000214 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.37000000000035 " " Order of pole (three term test) = 1.0000000000000184 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.380000000000216 " " y[1] (analytic) = -3.5234627218936936 " " y[1] (numeric) = -3.523462721893872 " " absolute error = 1.78523862359725170000000000000E-13 " " relative error = 5.066716365421828000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.880000000000216 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.380000000000102 " " Order of pole (three term test) = 1.000000000000136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.390000000000217 " " y[1] (analytic) = -3.5149676249880457 " " y[1] (numeric) = -3.514967624988227 " " absolute error = 1.81188397618825550000000000000E-13 " " relative error = 5.154767182797075000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.890000000000217 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.390000000000317 " " Order of pole (three term test) = 0.999999999999936 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.40000000000022 " " y[1] (analytic) = -3.5064682527509383 " " y[1] (numeric) = -3.5064682527511133 " " absolute error = 1.74971148680924670000000000000E-13 " " relative error = 4.989953881477584000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.90000000000022 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.40000000000015 " " Order of pole (three term test) = 1.000000000000052 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.41000000000022 " " y[1] (analytic) = -3.4979646070094113 " " y[1] (numeric) = -3.497964607009596 " " absolute error = 1.84741111297626050000000000000E-13 " " relative error = 5.281388809007151000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.91000000000022 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.410000000000277 " " Order of pole (three term test) = 0.9999999999999901 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.420000000000222 " " y[1] (analytic) = -3.4894566895890016 " " y[1] (numeric) = -3.489456689589179 " " absolute error = 1.77635683940025050000000000000E-13 " " relative error = 5.090640169571713000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.920000000000222 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.420000000000105 " " Order of pole (three term test) = 1.0000000000001152 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.430000000000224 " " y[1] (analytic) = -3.4809445023136227 " " y[1] (numeric) = -3.4809445023138075 " " absolute error = 1.84741111297626050000000000000E-13 " " relative error = 5.307212199873832000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.930000000000224 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.430000000000298 " " Order of pole (three term test) = 0.9999999999999618 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.440000000000225 " " y[1] (analytic) = -3.472428047005682 " " y[1] (numeric) = -3.4724280470058693 " " absolute error = 1.87405646556726420000000000000E-13 " " relative error = 5.3969627021740210000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.940000000000225 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.440000000000126 " " Order of pole (three term test) = 1.0000000000000786 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.450000000000227 " " y[1] (analytic) = -3.463907325486012 " " y[1] (numeric) = -3.4639073254861974 " " absolute error = 1.8518520050747610000000000000E-13 " " relative error = 5.346136114697965000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.950000000000227 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.450000000000017 " " Order of pole (three term test) = 1.0000000000001188 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.46000000000023 " " y[1] (analytic) = -3.4553823395738803 " " y[1] (numeric) = -3.455382339574072 " " absolute error = 1.91846538655227050000000000000E-13 " " relative error = 5.552107402357265000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.96000000000023 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.46000000000015 " " Order of pole (three term test) = 1.0000000000000118 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.47000000000023 " " y[1] (analytic) = -3.446853091087039 " " y[1] (numeric) = -3.446853091087223 " " absolute error = 1.83852932877925920000000000000E-13 " " relative error = 5.333935854514297000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.97000000000023 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.47000000000006 " " Order of pole (three term test) = 1.000000000000137 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.48000000000023 " " y[1] (analytic) = -3.4383195818416397 " " y[1] (numeric) = -3.4383195818418297 " " absolute error = 1.9007018181582680000000000000E-13 " " relative error = 5.527996374148009000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.98000000000023 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.480000000000203 " " Order of pole (three term test) = 1.0000000000000193 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.490000000000233 " " y[1] (analytic) = -3.4297818136523297 " " y[1] (numeric) = -3.429781813652526 " " absolute error = 1.96287430753727680000000000000E-13 " " relative error = 5.723029668313033000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 22.990000000000233 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.49000000000019 " " Order of pole (three term test) = 1.0000000000000022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.500000000000234 " " y[1] (analytic) = -3.4212397883322083 " " y[1] (numeric) = -3.4212397883323997 " " absolute error = 1.914024494453770000000000000E-13 " " relative error = 5.594534767721796000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.000000000000234 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.500000000000266 " " Order of pole (three term test) = 0.9999999999998292 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.510000000000236 " " y[1] (analytic) = -3.4126935076928007 " " y[1] (numeric) = -3.412693507692996 " " absolute error = 1.95399252334027550000000000000E-13 " " relative error = 5.725660739634658000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.010000000000236 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.510000000000044 " " Order of pole (three term test) = 1.0000000000002258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.520000000000238 " " y[1] (analytic) = -3.4041429735441255 " " y[1] (numeric) = -3.404142973544319 " " absolute error = 1.9362289549462730000000000000E-13 " " relative error = 5.687860263196948000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.020000000000238 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.520000000000284 " " Order of pole (three term test) = 0.999999999999875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.53000000000024 " " y[1] (analytic) = -3.395588187694635 " " y[1] (numeric) = -3.395588187694834 " " absolute error = 1.98951966012828050000000000000E-13 " " relative error = 5.85913117302667900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.03000000000024 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.53000000000022 " " Order of pole (three term test) = 1.000000000000042 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.54000000000024 " " y[1] (analytic) = -3.3870291519512676 " " y[1] (numeric) = -3.387029151951468 " " absolute error = 2.00284233642378240000000000000E-13 " " relative error = 5.9132716211490090000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.04000000000024 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.54000000000008 " " Order of pole (three term test) = 1.0000000000002356 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.550000000000242 " " y[1] (analytic) = -3.378465868119413 " " y[1] (numeric) = -3.378465868119614 " " absolute error = 2.0072832285222830000000000000E-13 " " relative error = 5.941404492091601000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.050000000000242 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.550000000000068 " " Order of pole (three term test) = 1.0000000000002067 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.560000000000244 " " y[1] (analytic) = -3.3698983380029297 " " y[1] (numeric) = -3.3698983380031313 " " absolute error = 2.01616501271928430000000000000E-13 " " relative error = 5.982865981393684000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.060000000000244 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.560000000000223 " " Order of pole (three term test) = 0.99999999999996 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.570000000000245 " " y[1] (analytic) = -3.3613265634041483 " " y[1] (numeric) = -3.361326563404348 " " absolute error = 1.99840144432528180000000000000E-13 " " relative error = 5.945276088561362000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.070000000000245 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.5700000000004 " " Order of pole (three term test) = 0.9999999999998338 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.580000000000247 " " y[1] (analytic) = -3.3527505461238576 " " y[1] (numeric) = -3.3527505461240628 " " absolute error = 2.05169214950728930000000000000E-13 " " relative error = 6.119429767535993000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.080000000000247 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.580000000000346 " " Order of pole (three term test) = 1.000000000000013 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.59000000000025 " " y[1] (analytic) = -3.34417028796134 " " y[1] (numeric) = -3.344170287961547 " " absolute error = 2.06945571790129180000000000000E-13 " " relative error = 6.188248622838118000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.09000000000025 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.589999999999975 " " Order of pole (three term test) = 1.0000000000001539 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.60000000000025 " " y[1] (analytic) = -3.335585790714344 " " y[1] (numeric) = -3.3355857907145468 " " absolute error = 2.02948768901478620000000000000E-13 " " relative error = 6.084351644213456000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.10000000000025 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.600000000000378 " " Order of pole (three term test) = 0.9999999999998422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.61000000000025 " " y[1] (analytic) = -3.3269970561790743 " " y[1] (numeric) = -3.326997056179284 " " absolute error = 2.09610107049229550000000000000E-13 " " relative error = 6.300279306226937000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.11000000000025 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.610000000000163 " " Order of pole (three term test) = 1.0000000000000981 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.620000000000253 " " y[1] (analytic) = -3.3184040861502524 " " y[1] (numeric) = -3.3184040861504593 " " absolute error = 2.06945571790129180000000000000E-13 " " relative error = 6.236298124566587000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.120000000000253 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.620000000000267 " " Order of pole (three term test) = 1.000000000000022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.630000000000255 " " y[1] (analytic) = -3.3098068824210394 " " y[1] (numeric) = -3.3098068824212543 " " absolute error = 2.1493917756743030000000000000E-13 " " relative error = 6.4940096266344030000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.130000000000255 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.630000000000155 " " Order of pole (three term test) = 1.0000000000000664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.640000000000256 " " y[1] (analytic) = -3.301205446783115 " " y[1] (numeric) = -3.301205446783332 " " absolute error = 2.17159623616680620000000000000E-13 " " relative error = 6.578191727760946000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.140000000000256 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.640000000000082 " " Order of pole (three term test) = 1.0000000000001104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.650000000000258 " " y[1] (analytic) = -3.292599781026624 " " y[1] (numeric) = -3.2925997810268406 " " absolute error = 2.16715534406830560000000000000E-13 " " relative error = 6.581897248965352000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.150000000000258 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.650000000000237 " " Order of pole (three term test) = 1.000000000000041 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.66000000000026 " " y[1] (analytic) = -3.2839898869401942 " " y[1] (numeric) = -3.283989886940413 " " absolute error = 2.18935980456080870000000000000E-13 " " relative error = 6.666767803602192000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.16000000000026 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.660000000000235 " " Order of pole (three term test) = 1.0000000000001432 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.67000000000026 " " y[1] (analytic) = -3.275375766310958 " " y[1] (numeric) = -3.2753757663111718 " " absolute error = 2.13606909937880120000000000000E-13 " " relative error = 6.521600120967637000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.17000000000026 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.67000000000029 " " Order of pole (three term test) = 0.9999999999999424 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.680000000000263 " " y[1] (analytic) = -3.2667574209245096 " " y[1] (numeric) = -3.2667574209247285 " " absolute error = 2.18935980456080870000000000000E-13 " " relative error = 6.7019356580851010000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.180000000000263 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.68000000000039 " " Order of pole (three term test) = 0.999999999999818 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.690000000000264 " " y[1] (analytic) = -3.2581348525649645 " " y[1] (numeric) = -3.2581348525651865 " " absolute error = 2.2204460492503130000000000000E-13 " " relative error = 6.815083321374095000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.190000000000264 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.69000000000015 " " Order of pole (three term test) = 1.0000000000001894 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.700000000000266 " " y[1] (analytic) = -3.2495080630149253 " " y[1] (numeric) = -3.2495080630151434 " " absolute error = 2.18047802036380740000000000000E-13 " " relative error = 6.7101788273168310000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.200000000000266 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.700000000000294 " " Order of pole (three term test) = 0.9999999999999721 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.710000000000267 " " y[1] (analytic) = -3.2408770540554706 " " y[1] (numeric) = -3.2408770540556926 " " absolute error = 2.2204460492503130000000000000E-13 " " relative error = 6.851373909638931000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.210000000000267 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.710000000000328 " " Order of pole (three term test) = 0.999999999999892 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.72000000000027 " " y[1] (analytic) = -3.232241827466204 " " y[1] (numeric) = -3.2322418274664244 " " absolute error = 2.20268248085631060000000000000E-13 " " relative error = 6.814720551348789000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.22000000000027 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.720000000000113 " " Order of pole (three term test) = 1.0000000000000224 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.73000000000027 " " y[1] (analytic) = -3.2236023850252025 " " y[1] (numeric) = -3.2236023850254294 " " absolute error = 2.269295862333820000000000000E-13 " " relative error = 7.039627073349737000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.23000000000027 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.730000000000487 " " Order of pole (three term test) = 0.999999999999928 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.740000000000272 " " y[1] (analytic) = -3.2149587285090675 " " y[1] (numeric) = -3.2149587285092993 " " absolute error = 2.3181456754173269000000000000E-13 " " relative error = 7.210499017797231000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.240000000000272 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.740000000000258 " " Order of pole (three term test) = 1.0000000000000724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.750000000000274 " " y[1] (analytic) = -3.2063108596928984 " " y[1] (numeric) = -3.206310859693129 " " absolute error = 2.3048229991218250000000000000E-13 " " relative error = 7.188395324034743000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.250000000000274 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.750000000000313 " " Order of pole (three term test) = 1.0000000000000244 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.760000000000275 " " y[1] (analytic) = -3.1976587803502845 " " y[1] (numeric) = -3.197658780350518 " " absolute error = 2.33590924381132940000000000000E-13 " " relative error = 7.30506099701933900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.260000000000275 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.760000000000304 " " Order of pole (three term test) = 1.0000000000000169 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.770000000000277 " " y[1] (analytic) = -3.1890024922533478 " " y[1] (numeric) = -3.1890024922535742 " " absolute error = 2.26485497023531930000000000000E-13 " " relative error = 7.102079649473632000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.270000000000277 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.77000000000033 " " Order of pole (three term test) = 1.0000000000000044 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.78000000000028 " " y[1] (analytic) = -3.1803419971726825 " " y[1] (numeric) = -3.1803419971729134 " " absolute error = 2.30926389122032560000000000000E-13 " " relative error = 7.26105523642821000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.28000000000028 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.780000000000392 " " Order of pole (three term test) = 0.9999999999999853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.79000000000028 " " y[1] (analytic) = -3.1716772968774265 " " y[1] (numeric) = -3.1716772968776628 " " absolute error = 2.3625545964023330000000000000E-13 " " relative error = 7.448912279721239000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.29000000000028 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.790000000000433 " " Order of pole (three term test) = 0.9999999999998468 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.80000000000028 " " y[1] (analytic) = -3.1630083931352324 " " y[1] (numeric) = -3.163008393135462 " " absolute error = 2.29594121492482370000000000000E-13 " " relative error = 7.258726280675608000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.30000000000028 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.800000000000253 " " Order of pole (three term test) = 1.0000000000000242 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.810000000000283 " " y[1] (analytic) = -3.154335287712229 " " y[1] (numeric) = -3.1543352877124655 " " absolute error = 2.36699548850083370000000000000E-13 " " relative error = 7.503943850615716000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.310000000000283 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.810000000000354 " " Order of pole (three term test) = 0.9999999999999332 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.820000000000285 " " y[1] (analytic) = -3.1456579823731126 " " y[1] (numeric) = -3.145657982373344 " " absolute error = 2.3137047833188262000000000000E-13 " " relative error = 7.355233138134575000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.320000000000285 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.8200000000004 " " Order of pole (three term test) = 0.9999999999999106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.830000000000286 " " y[1] (analytic) = -3.1369764788810492 " " y[1] (numeric) = -3.136976478881286 " " absolute error = 2.36699548850083370000000000000E-13 " " relative error = 7.545467759914906000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.330000000000286 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.83000000000015 " " Order of pole (three term test) = 1.0000000000001086 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.840000000000288 " " y[1] (analytic) = -3.1282907789977585 " " y[1] (numeric) = -3.1282907789980015 " " absolute error = 2.42916797787984250000000000000E-13 " " relative error = 7.765160432618412000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.340000000000288 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.840000000000362 " " Order of pole (three term test) = 0.9999999999999525 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.85000000000029 " " y[1] (analytic) = -3.1196008844834786 " " y[1] (numeric) = -3.1196008844837215 " " absolute error = 2.42916797787984250000000000000E-13 " " relative error = 7.786790899958496000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.35000000000029 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.850000000000126 " " Order of pole (three term test) = 1.0000000000000464 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.86000000000029 " " y[1] (analytic) = -3.110906797096959 " " y[1] (numeric) = -3.110906797097201 " " absolute error = 2.42028619368284130000000000000E-13 " " relative error = 7.780002267960610000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.36000000000029 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.860000000000394 " " Order of pole (three term test) = 0.9999999999999147 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.870000000000292 " " y[1] (analytic) = -3.102208518595482 " " y[1] (numeric) = -3.1022085185957216 " " absolute error = 2.39364084109183750000000000000E-13 " " relative error = 7.715925047409621000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.370000000000292 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.870000000000616 " " Order of pole (three term test) = 0.9999999999997414 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.880000000000294 " " y[1] (analytic) = -3.0935060507348453 " " y[1] (numeric) = -3.0935060507350913 " " absolute error = 2.4602542225693470000000000000E-13 " " relative error = 7.952963990437086000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.380000000000294 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.88000000000021 " " Order of pole (three term test) = 1.0000000000000853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.890000000000295 " " y[1] (analytic) = -3.0847993952693997 " " y[1] (numeric) = -3.0847993952696484 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 8.061787028920131000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.390000000000295 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.890000000000036 " " Order of pole (three term test) = 1.0000000000002471 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.900000000000297 " " y[1] (analytic) = -3.076088553952019 " " y[1] (numeric) = -3.0760885539522627 " " absolute error = 2.4380497620768438000000000000E-13 " " relative error = 7.92581136503547100000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.400000000000297 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.900000000000322 " " Order of pole (three term test) = 0.9999999999999613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.9100000000003 " " y[1] (analytic) = -3.0673735285340875 " " y[1] (numeric) = -3.067373528534336 " " absolute error = 2.48689957516035070000000000000E-13 " " relative error = 8.107586350426815000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.4100000000003 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.910000000000434 " " Order of pole (three term test) = 0.9999999999999278 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.9200000000003 " " y[1] (analytic) = -3.0586543207655623 " " y[1] (numeric) = -3.058654320765807 " " absolute error = 2.4469315462738450000000000000E-13 " " relative error = 8.000026448433025000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.4200000000003 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.92000000000043 " " Order of pole (three term test) = 0.9999999999998546 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.9300000000003 " " y[1] (analytic) = -3.049930932394897 " " y[1] (numeric) = -3.0499309323951493 " " absolute error = 2.52242671194835570000000000000E-13 " " relative error = 8.270438799634294000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.4300000000003 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.930000000000298 " " Order of pole (three term test) = 0.9999999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.940000000000303 " " y[1] (analytic) = -3.041203365169121 " " y[1] (numeric) = -3.0412033651693764 " " absolute error = 2.553512956637860000000000000E-13 " " relative error = 8.396390014174075000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.440000000000303 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.94000000000043 " " Order of pole (three term test) = 0.9999999999998856 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.950000000000305 " " y[1] (analytic) = -3.0324716208337854 " " y[1] (numeric) = -3.0324716208340416 " " absolute error = 2.56239474083486130000000000000E-13 " " relative error = 8.449855633373824000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.450000000000305 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.95000000000028 " " Order of pole (three term test) = 1.000000000000098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.960000000000306 " " y[1] (analytic) = -3.0237357011329813 " " y[1] (numeric) = -3.023735701133241 " " absolute error = 2.59792187762286630000000000000E-13 " " relative error = 8.591762423711291000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.460000000000306 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.96000000000046 " " Order of pole (three term test) = 0.9999999999998406 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.970000000000308 " " y[1] (analytic) = -3.014995607809361 " " y[1] (numeric) = -3.014995607809615 " " absolute error = 2.5401902803423580000000000000E-13 " " relative error = 8.425187332820072000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.470000000000308 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.970000000000336 " " Order of pole (three term test) = 1.0000000000001639 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.98000000000031 " " y[1] (analytic) = -3.0062513426040915 " " y[1] (numeric) = -3.006251342604349 " " absolute error = 2.5757174171303630000000000000E-13 " " relative error = 8.567871157769567000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.48000000000031 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.98000000000048 " " Order of pole (three term test) = 0.9999999999999176 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 21.99000000000031 " " y[1] (analytic) = -2.9975029072569157 " " y[1] (numeric) = -2.9975029072571777 " " absolute error = 2.62012633811536940000000000000E-13 " " relative error = 8.74103018139557900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.49000000000031 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 23.990000000000318 " " Order of pole (three term test) = 0.9999999999999586 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.000000000000313 " " y[1] (analytic) = -2.9887503035061265 " " y[1] (numeric) = -2.988750303506384 " " absolute error = 2.5757174171303630000000000000E-13 " " relative error = 8.61804150754503900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.500000000000313 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.00000000000044 " " Order of pole (three term test) = 0.9999999999998446 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.010000000000314 " " y[1] (analytic) = -2.979993533088539 " " y[1] (numeric) = -2.979993533088803 " " absolute error = 2.64233079860787260000000000000E-13 " " relative error = 8.866901116625229000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.510000000000314 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.010000000000133 " " Order of pole (three term test) = 1.0000000000001197 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.020000000000316 " " y[1] (analytic) = -2.9712325977395615 " " y[1] (numeric) = -2.971232597739823 " " absolute error = 2.6156854460168690000000000000E-13 " " relative error = 8.803368164467555000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.520000000000316 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.020000000000156 " " Order of pole (three term test) = 1.0000000000000648 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.030000000000317 " " y[1] (analytic) = -2.962467499193121 " " y[1] (numeric) = -2.9624674991933873 " " absolute error = 2.66453525910037570000000000000E-13 " " relative error = 8.99431051927525900000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.530000000000317 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.03000000000024 " " Order of pole (three term test) = 1.000000000000107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.04000000000032 " " y[1] (analytic) = -2.953698239181726 " " y[1] (numeric) = -2.9536982391819957 " " absolute error = 2.695621503789880000000000000E-13 " " relative error = 9.126258965901196000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.54000000000032 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.040000000000564 " " Order of pole (three term test) = 0.999999999999714 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.05000000000032 " " y[1] (analytic) = -2.944924819436441 " " y[1] (numeric) = -2.9449248194367073 " " absolute error = 2.66453525910037570000000000000E-13 " " relative error = 9.047888902000147000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.55000000000032 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.050000000000157 " " Order of pole (three term test) = 1.0000000000001537 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.060000000000322 " " y[1] (analytic) = -2.936147241686868 " " y[1] (numeric) = -2.936147241687141 " " absolute error = 2.7311486405778850000000000000E-13 " " relative error = 9.301810896270968000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.560000000000322 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.060000000000333 " " Order of pole (three term test) = 0.999999999999967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.070000000000324 " " y[1] (analytic) = -2.927365507661211 " " y[1] (numeric) = -2.927365507661478 " " absolute error = 2.6734170432973770000000000000E-13 " " relative error = 9.132501685562582000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.570000000000324 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.07000000000035 " " Order of pole (three term test) = 0.9999999999999082 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.080000000000325 " " y[1] (analytic) = -2.9185796190861915 " " y[1] (numeric) = -2.9185796190864646 " " absolute error = 2.7311486405778850000000000000E-13 " " relative error = 9.357800701126696000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.580000000000325 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.0800000000002 " " Order of pole (three term test) = 1.000000000000098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.090000000000327 " " y[1] (analytic) = -2.9097895776871354 " " y[1] (numeric) = -2.909789577687411 " " absolute error = 2.7577939931688890000000000000E-13 " " relative error = 9.477640631873248000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.590000000000327 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.090000000000092 " " Order of pole (three term test) = 1.0000000000002227 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.10000000000033 " " y[1] (analytic) = -2.900995385187926 " " y[1] (numeric) = -2.9009953851881973 " " absolute error = 2.71338507218388260000000000000E-13 " " relative error = 9.353289860570082000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.60000000000033 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.100000000000293 " " Order of pole (three term test) = 1.000000000000118 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.11000000000033 " " y[1] (analytic) = -2.8921970433109934 " " y[1] (numeric) = -2.892197043311271 " " absolute error = 2.77555756156289140000000000000E-13 " " relative error = 9.596709767690749000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.61000000000033 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.11000000000023 " " Order of pole (three term test) = 1.0000000000001101 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.12000000000033 " " y[1] (analytic) = -2.8833945537773786 " " y[1] (numeric) = -2.8833945537776517 " " absolute error = 2.7311486405778850000000000000E-13 " " relative error = 9.471990702763712000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.62000000000033 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.120000000000385 " " Order of pole (three term test) = 0.9999999999999206 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.130000000000333 " " y[1] (analytic) = -2.874587918306652 " " y[1] (numeric) = -2.874587918306932 " " absolute error = 2.79776202205539450000000000000E-13 " " relative error = 9.732741184355518000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.630000000000333 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.1300000000004 " " Order of pole (three term test) = 1.0000000000000349 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.140000000000335 " " y[1] (analytic) = -2.8657771386169983 " " y[1] (numeric) = -2.8657771386172786 " " absolute error = 2.8022029141538950000000000000E-13 " " relative error = 9.778160612678405000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.640000000000335 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.14000000000026 " " Order of pole (three term test) = 1.0000000000000735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.150000000000336 " " y[1] (analytic) = -2.8569622164251527 " " y[1] (numeric) = -2.8569622164254356 " " absolute error = 2.8288482667448990000000000000E-13 " " relative error = 9.901594954533797000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.650000000000336 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.150000000000194 " " Order of pole (three term test) = 1.000000000000093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.160000000000338 " " y[1] (analytic) = -2.84814315344644 " " y[1] (numeric) = -2.848143153446725 " " absolute error = 2.8510527272374020000000000000E-13 " " relative error = 1.001021568662179400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.660000000000338 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.160000000000203 " " Order of pole (three term test) = 1.000000000000079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.17000000000034 " " y[1] (analytic) = -2.839319951394767 " " y[1] (numeric) = -2.8393199513950482 " " absolute error = 2.81108469835089640000000000000E-13 " " relative error = 9.900556282746505000000000000E-12 "%" Correct digits = 15 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.67000000000034 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.170000000000403 " " Order of pole (three term test) = 1.0000000000000002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.18000000000034 " " y[1] (analytic) = -2.830492611982603 " " y[1] (numeric) = -2.8304926119828893 " " absolute error = 2.8643754035329040000000000000E-13 " " relative error = 1.01197063415988500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.68000000000034 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.180000000000586 " " Order of pole (three term test) = 0.9999999999998372 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.190000000000342 " " y[1] (analytic) = -2.8216611369210263 " " y[1] (numeric) = -2.821661136921316 " " absolute error = 2.89546164822240800000000000000E-13 " " relative error = 1.026154987335549700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.690000000000342 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.190000000000452 " " Order of pole (three term test) = 0.999999999999984 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.200000000000344 " " y[1] (analytic) = -2.812825527919692 " " y[1] (numeric) = -2.81282552791998 " " absolute error = 2.8776980798284060000000000000E-13 " " relative error = 1.023063126832716200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.700000000000344 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.20000000000039 " " Order of pole (three term test) = 0.9999999999999881 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.210000000000345 " " y[1] (analytic) = -2.8039857866868303 " " y[1] (numeric) = -2.8039857866871216 " " absolute error = 2.9132252166164110000000000000E-13 " " relative error = 1.038958624700682500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.710000000000345 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.210000000000317 " " Order of pole (three term test) = 1.000000000000136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.220000000000347 " " y[1] (analytic) = -2.7951419149292818 " " y[1] (numeric) = -2.795141914929569 " " absolute error = 2.8732571877299050000000000000E-13 " " relative error = 1.02794680026205400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.720000000000347 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.220000000000102 " " Order of pole (three term test) = 1.0000000000001381 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.23000000000035 " " y[1] (analytic) = -2.7862939143524486 " " y[1] (numeric) = -2.7862939143527417 " " absolute error = 2.93098878501041300000000000000E-13 " " relative error = 1.051930943075541500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.73000000000035 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.23000000000055 " " Order of pole (three term test) = 0.9999999999998359 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.24000000000035 " " y[1] (analytic) = -2.7774417866603542 " " y[1] (numeric) = -2.7774417866606504 " " absolute error = 2.96207502969991760000000000000E-13 " " relative error = 1.066476008219625000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.74000000000035 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.240000000000308 " " Order of pole (three term test) = 1.000000000000123 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.25000000000035 " " y[1] (analytic) = -2.768585533555605 " " y[1] (numeric) = -2.768585533555901 " " absolute error = 2.96207502969991760000000000000E-13 " " relative error = 1.069887490850181800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.75000000000035 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.250000000000366 " " Order of pole (three term test) = 0.9999999999999513 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.260000000000353 " " y[1] (analytic) = -2.759725156739396 " " y[1] (numeric) = -2.7597251567396945 " " absolute error = 2.9842794901924210000000000000E-13 " " relative error = 1.081368368478524400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.760000000000353 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.260000000000634 " " Order of pole (three term test) = 0.9999999999997994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.270000000000355 " " y[1] (analytic) = -2.7508606579115344 " " y[1] (numeric) = -2.7508606579118298 " " absolute error = 2.95319324550291640000000000000E-13 " " relative error = 1.073552466937745300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.770000000000355 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.270000000000334 " " Order of pole (three term test) = 1.0000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.280000000000356 " " y[1] (analytic) = -2.7419920387704018 " " y[1] (numeric) = -2.7419920387707046 " " absolute error = 3.0286884111774270000000000000E-13 " " relative error = 1.104557696869021100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.780000000000356 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.28000000000044 " " Order of pole (three term test) = 0.9999999999999839 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.290000000000358 " " y[1] (analytic) = -2.733119301013012 " " y[1] (numeric) = -2.733119301013318 " " absolute error = 3.05977465586693140000000000000E-13 " " relative error = 1.119517415406216100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.790000000000358 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.29000000000059 " " Order of pole (three term test) = 0.999999999999899 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.30000000000036 " " y[1] (analytic) = -2.724242446334973 " " y[1] (numeric) = -2.7242424463352717 " " absolute error = 2.98872038229092140000000000000E-13 " " relative error = 1.097083112522441300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.80000000000036 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.30000000000028 " " Order of pole (three term test) = 0.9999999999999404 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.31000000000036 " " y[1] (analytic) = -2.7153614764304663 " " y[1] (numeric) = -2.715361476430772 " " absolute error = 3.0553337637684310000000000000E-13 " " relative error = 1.125203325704127600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.81000000000036 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.31000000000049 " " Order of pole (three term test) = 0.9999999999998834 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.320000000000363 " " y[1] (analytic) = -2.706476392992329 " " y[1] (numeric) = -2.7064763929926303 " " absolute error = 3.0153657348819250000000000000E-13 " " relative error = 1.114129701145511500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.820000000000363 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.32000000000026 " " Order of pole (three term test) = 1.000000000000111 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.330000000000364 " " y[1] (analytic) = -2.6975871977119574 " " y[1] (numeric) = -2.697587197712268 " " absolute error = 3.10418357685193770000000000000E-13 " " relative error = 1.150725944831309800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.830000000000364 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.33000000000042 " " Order of pole (three term test) = 0.9999999999999329 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.340000000000366 " " y[1] (analytic) = -2.688693892279403 " " y[1] (numeric) = -2.688693892279714 " " absolute error = 3.10862446895043830000000000000E-13 " " relative error = 1.156183854873501200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.840000000000366 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.340000000000327 " " Order of pole (three term test) = 1.0000000000001386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.350000000000367 " " y[1] (analytic) = -2.6797964783833024 " " y[1] (numeric) = -2.6797964783836097 " " absolute error = 3.07309733216243330000000000000E-13 " " relative error = 1.146765195398870700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.850000000000367 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.35000000000042 " " Order of pole (three term test) = 0.9999999999999662 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.36000000000037 " " y[1] (analytic) = -2.670894957710896 " " y[1] (numeric) = -2.6708949577112095 " " absolute error = 3.1352698215414420000000000000E-13 " " relative error = 1.173864892174022700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.86000000000037 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.360000000000557 " " Order of pole (three term test) = 0.9999999999999445 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.37000000000037 " " y[1] (analytic) = -2.6619893319480745 " " y[1] (numeric) = -2.661989331948382 " " absolute error = 3.07309733216243330000000000000E-13 " " relative error = 1.154436381573890500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.87000000000037 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.370000000000417 " " Order of pole (three term test) = 0.9999999999999594 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.380000000000372 " " y[1] (analytic) = -2.6530796027793 " " y[1] (numeric) = -2.6530796027796124 " " absolute error = 3.121947145245940000000000000E-13 " " relative error = 1.176725772560863200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.880000000000372 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.380000000000148 " " Order of pole (three term test) = 1.0000000000001412 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.390000000000374 " " y[1] (analytic) = -2.6441657718876854 " " y[1] (numeric) = -2.6441657718880043 " " absolute error = 3.18856052672344960000000000000E-13 " " relative error = 1.205885259019565100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.890000000000374 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.39000000000054 " " Order of pole (three term test) = 0.9999999999997982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.400000000000375 " " y[1] (analytic) = -2.6352478409549676 " " y[1] (numeric) = -2.635247840955281 " " absolute error = 3.1352698215414420000000000000E-13 " " relative error = 1.189743815672864900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.900000000000375 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.400000000000183 " " Order of pole (three term test) = 1.0000000000001399 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.410000000000377 " " y[1] (analytic) = -2.6263258116614665 " " y[1] (numeric) = -2.626325811661787 " " absolute error = 3.2063240951174520000000000000E-13 " " relative error = 1.220840187032646700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.910000000000377 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.410000000000355 " " Order of pole (three term test) = 1.0000000000000024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.42000000000038 " " y[1] (analytic) = -2.6173996856861734 " " y[1] (numeric) = -2.617399685686491 " " absolute error = 3.17523785042794770000000000000E-13 " " relative error = 1.21312685555531900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.92000000000038 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.42000000000031 " " Order of pole (three term test) = 1.000000000000128 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.43000000000038 " " y[1] (analytic) = -2.608469464706662 " " y[1] (numeric) = -2.6084694647069853 " " absolute error = 3.2329694477084560000000000000E-13 " " relative error = 1.239412418451301500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.93000000000038 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.430000000000394 " " Order of pole (three term test) = 0.9999999999999402 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.44000000000038 " " y[1] (analytic) = -2.599535150399163 " " y[1] (numeric) = -2.5995351503994897 " " absolute error = 3.2684965844964610000000000000E-13 " " relative error = 1.257338868449067700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.94000000000038 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.440000000000364 " " Order of pole (three term test) = 1.000000000000114 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.450000000000383 " " y[1] (analytic) = -2.5905967444385283 " " y[1] (numeric) = -2.590596744438852 " " absolute error = 3.23741033980695650000000000000E-13 " " relative error = 1.249677452408215300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.950000000000383 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.45000000000061 " " Order of pole (three term test) = 0.9999999999998581 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.460000000000385 " " y[1] (analytic) = -2.5816542484982214 " " y[1] (numeric) = -2.5816542484985505 " " absolute error = 3.2907010449889640000000000000E-13 " " relative error = 1.27464824033009200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.960000000000385 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.46000000000034 " " Order of pole (three term test) = 0.9999999999999124 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.470000000000386 " " y[1] (analytic) = -2.5727076642503697 " " y[1] (numeric) = -2.5727076642506943 " " absolute error = 3.24629212400395800000000000000E-13 " " relative error = 1.261819276676293400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.970000000000386 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.470000000000244 " " Order of pole (three term test) = 1.0000000000001918 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.480000000000388 " " y[1] (analytic) = -2.563756993365697 " " y[1] (numeric) = -2.5637569933660265 " " absolute error = 3.29514193708746460000000000000E-13 " " relative error = 1.285278575783271300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.980000000000388 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.480000000000402 " " Order of pole (three term test) = 1.0000000000000255 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.49000000000039 " " y[1] (analytic) = -2.5548022375135915 " " y[1] (numeric) = -2.5548022375139245 " " absolute error = 3.33066907387546960000000000000E-13 " " relative error = 1.30368958699401100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 23.99000000000039 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.490000000000517 " " Order of pole (three term test) = 0.9999999999998831 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.50000000000039 " " y[1] (analytic) = -2.545843398362077 " " y[1] (numeric) = -2.545843398362403 " " absolute error = 3.25961480029945960000000000000E-13 " " relative error = 1.280367363678615600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.00000000000039 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.50000000000042 " " Order of pole (three term test) = 0.9999999999999739 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.510000000000392 " " y[1] (analytic) = -2.536880477577782 " " y[1] (numeric) = -2.5368804775781157 " " absolute error = 3.3395508580724710000000000000E-13 " " relative error = 1.316400550829686700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.010000000000392 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.510000000000154 " " Order of pole (three term test) = 1.0000000000001914 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.520000000000394 " " y[1] (analytic) = -2.5279134768260256 " " y[1] (numeric) = -2.5279134768263547 " " absolute error = 3.2907010449889640000000000000E-13 " " relative error = 1.30174591620939200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.020000000000394 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.520000000000344 " " Order of pole (three term test) = 1.0000000000000442 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.530000000000395 " " y[1] (analytic) = -2.5189423977707186 " " y[1] (numeric) = -2.5189423977710548 " " absolute error = 3.3617553185649740000000000000E-13 " " relative error = 1.334589993618016400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.030000000000395 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.5300000000003 " " Order of pole (three term test) = 1.00000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.540000000000397 " " y[1] (analytic) = -2.509967242074456 " " y[1] (numeric) = -2.509967242074794 " " absolute error = 3.37951888695897650000000000000E-13 " " relative error = 1.346439439650155300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.040000000000397 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.540000000000422 " " Order of pole (three term test) = 0.9999999999999656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.5500000000004 " " y[1] (analytic) = -2.500988011398455 " " y[1] (numeric) = -2.5009880113987952 " " absolute error = 3.40172334745147960000000000000E-13 " " relative error = 1.36015180078746880000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.0500000000004 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.550000000000505 " " Order of pole (three term test) = 0.9999999999998792 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.5600000000004 " " y[1] (analytic) = -2.4920047074025895 " " y[1] (numeric) = -2.4920047074029283 " " absolute error = 3.3884006711559780000000000000E-13 " " relative error = 1.359708776267802300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.0600000000004 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.56000000000044 " " Order of pole (three term test) = 1.0000000000000207 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.5700000000004 " " y[1] (analytic) = -2.4830173317453728 " " y[1] (numeric) = -2.483017331745711 " " absolute error = 3.3839597790574770000000000000E-13 " " relative error = 1.362841787607986800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.0700000000004 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.570000000000448 " " Order of pole (three term test) = 1.0000000000000182 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.580000000000403 " " y[1] (analytic) = -2.474025886083968 " " y[1] (numeric) = -2.4740258860843114 " " absolute error = 3.4328095921409840000000000000E-13 " " relative error = 1.387539884465249000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.080000000000403 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.580000000000346 " " Order of pole (three term test) = 0.9999999999999646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.590000000000405 " " y[1] (analytic) = -2.465030372074203 " " y[1] (numeric) = -2.465030372074549 " " absolute error = 3.4594549447319880000000000000E-13 " " relative error = 1.403412705954217000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.090000000000405 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.590000000000437 " " Order of pole (three term test) = 1. " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.600000000000406 " " y[1] (analytic) = -2.456030791370555 " " y[1] (numeric) = -2.4560307913708965 " " absolute error = 3.41504602374698150000000000000E-13 " " relative error = 1.390473619364218400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.100000000000406 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.600000000000207 " " Order of pole (three term test) = 1.0000000000000981 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.610000000000408 " " y[1] (analytic) = -2.4470271456261337 " " y[1] (numeric) = -2.447027145626482 " " absolute error = 3.4816594052244910000000000000E-13 " " relative error = 1.422811925665671600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.110000000000408 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.610000000000586 " " Order of pole (three term test) = 0.9999999999999358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.62000000000041 " " y[1] (analytic) = -2.4380194364927448 " " y[1] (numeric) = -2.438019436493089 " " absolute error = 3.44169137633798500000000000000E-13 " " relative error = 1.411675118262834500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.12000000000041 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.620000000000186 " " Order of pole (three term test) = 1.0000000000001434 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.63000000000041 " " y[1] (analytic) = -2.429007665620812 " " y[1] (numeric) = -2.4290076656211603 " " absolute error = 3.4816594052244910000000000000E-13 " " relative error = 1.433366989533414700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.13000000000041 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.630000000000358 " " Order of pole (three term test) = 1.0000000000000275 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.640000000000413 " " y[1] (analytic) = -2.419991834659445 " " y[1] (numeric) = -2.419991834659798 " " absolute error = 3.5305092183079980000000000000E-13 " " relative error = 1.458893029200997700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.140000000000413 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.640000000000587 " " Order of pole (three term test) = 0.9999999999999184 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.650000000000414 " " y[1] (analytic) = -2.4109719452564136 " " y[1] (numeric) = -2.410971945256766 " " absolute error = 3.5260683262094970000000000000E-13 " " relative error = 1.462509065336506700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.150000000000414 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.65000000000047 " " Order of pole (three term test) = 0.9999999999999423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.660000000000416 " " y[1] (analytic) = -2.4019479990581374 " " y[1] (numeric) = -2.401947999058491 " " absolute error = 3.53495011040649840000000000000E-13 " " relative error = 1.4717013489853398000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.160000000000416 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.66000000000045 " " Order of pole (three term test) = 1.000000000000079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.670000000000417 " " y[1] (analytic) = -2.3929199977097113 " " y[1] (numeric) = -2.392919997710064 " " absolute error = 3.5260683262094970000000000000E-13 " " relative error = 1.473542086481927400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.170000000000417 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.670000000000513 " " Order of pole (three term test) = 0.9999999999999024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.68000000000042 " " y[1] (analytic) = -2.383887942854887 " " y[1] (numeric) = -2.3838879428552433 " " absolute error = 3.5615954629975020000000000000E-13 " " relative error = 1.49402805348821080000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.18000000000042 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.680000000000454 " " Order of pole (three term test) = 0.9999999999999639 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.69000000000042 " " y[1] (analytic) = -2.374851836136095 " " y[1] (numeric) = -2.3748518361364543 " " absolute error = 3.59268170768700660000000000000E-13 " " relative error = 1.51280246330328200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.19000000000042 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.690000000000527 " " Order of pole (three term test) = 0.9999999999999258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.700000000000422 " " y[1] (analytic) = -2.3658116791944366 " " y[1] (numeric) = -2.3658116791947923 " " absolute error = 3.55715457089900160000000000000E-13 " " relative error = 1.50356623994274100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.200000000000422 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.70000000000035 " " Order of pole (three term test) = 0.9999999999999479 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.710000000000424 " " y[1] (analytic) = -2.356767473669663 " " y[1] (numeric) = -2.3567674736700237 " " absolute error = 3.60600438398250840000000000000E-13 " " relative error = 1.530063709835442500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.210000000000424 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.710000000000594 " " Order of pole (three term test) = 0.9999999999997864 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.720000000000425 " " y[1] (analytic) = -2.3477192212002294 " " y[1] (numeric) = -2.3477192212005877 " " absolute error = 3.58379992349000530000000000000E-13 " " relative error = 1.52650278241443700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.220000000000425 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.72000000000029 " " Order of pole (three term test) = 1.000000000000088 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.730000000000427 " " y[1] (analytic) = -2.338666923423233 " " y[1] (numeric) = -2.338666923423598 " " absolute error = 3.65041330496751470000000000000E-13 " " relative error = 1.560894913425383300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.230000000000427 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.730000000000476 " " Order of pole (three term test) = 0.9999999999999633 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.74000000000043 " " y[1] (analytic) = -2.329610581974478 " " y[1] (numeric) = -2.3296105819748445 " " absolute error = 3.66373598126301660000000000000E-13 " " relative error = 1.57268172183429500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.24000000000043 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.74000000000058 " " Order of pole (three term test) = 0.9999999999998725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.75000000000043 " " y[1] (analytic) = -2.3205501984884265 " " y[1] (numeric) = -2.320550198488794 " " absolute error = 3.67705865755851850000000000000E-13 " " relative error = 1.584563290185966600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.25000000000043 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.75000000000056 " " Order of pole (three term test) = 0.9999999999999601 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.76000000000043 " " y[1] (analytic) = -2.311485774598225 " " y[1] (numeric) = -2.3114857745985935 " " absolute error = 3.68594044175551970000000000000E-13 " " relative error = 1.59461956558923600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.26000000000043 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.760000000000637 " " Order of pole (three term test) = 0.9999999999998634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.770000000000433 " " y[1] (analytic) = -2.302417311935706 " " y[1] (numeric) = -2.3024173119360696 " " absolute error = 3.6370906286720130000000000000E-13 " " relative error = 1.57968349604451580000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.270000000000433 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.77000000000032 " " Order of pole (three term test) = 1.0000000000001004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.780000000000435 " " y[1] (analytic) = -2.293344812131359 " " y[1] (numeric) = -2.2933448121317324 " " absolute error = 3.73479025483902660000000000000E-13 " " relative error = 1.628534110999224600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.280000000000435 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.780000000000474 " " Order of pole (three term test) = 0.9999999999999596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.790000000000436 " " y[1] (analytic) = -2.2842682768144016 " " y[1] (numeric) = -2.2842682768147755 " " absolute error = 3.7392311469375270000000000000E-13 " " relative error = 1.636949208151763400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.290000000000436 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.79000000000039 " " Order of pole (three term test) = 1.0000000000000686 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.800000000000438 " " y[1] (analytic) = -2.2751877076127087 " " y[1] (numeric) = -2.275187707613078 " " absolute error = 3.6948222259525210000000000000E-13 " " relative error = 1.62396369037585700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.300000000000438 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.80000000000035 " " Order of pole (three term test) = 0.9999999999999915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.81000000000044 " " y[1] (analytic) = -2.2661031061528334 " " y[1] (numeric) = -2.2661031061532073 " " absolute error = 3.7392311469375270000000000000E-13 " " relative error = 1.650071056689748600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.31000000000044 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.810000000000393 " " Order of pole (three term test) = 0.9999999999999831 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.82000000000044 " " y[1] (analytic) = -2.257014474060046 " " y[1] (numeric) = -2.257014474060418 " " absolute error = 3.7170266864450240000000000000E-13 " " relative error = 1.64687764707092200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.32000000000044 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.820000000000576 " " Order of pole (three term test) = 0.9999999999999515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.830000000000442 " " y[1] (analytic) = -2.2479218129582783 " " y[1] (numeric) = -2.247921812958656 " " absolute error = 3.7747582837255320000000000000E-13 " " relative error = 1.67922134211506600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.330000000000442 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.830000000000414 " " Order of pole (three term test) = 1.0000000000000324 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.840000000000444 " " y[1] (analytic) = -2.238825124470175 " " y[1] (numeric) = -2.2388251244705586 " " absolute error = 3.8369307731045410000000000000E-13 " " relative error = 1.713814415948437800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.340000000000444 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.840000000000412 " " Order of pole (three term test) = 1.0000000000000049 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.850000000000446 " " y[1] (analytic) = -2.2297244102170772 " " y[1] (numeric) = -2.229724410217457 " " absolute error = 3.79696274421803540000000000000E-13 " " relative error = 1.702884323649835300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.350000000000446 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.850000000000385 " " Order of pole (three term test) = 1.0000000000000453 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.860000000000447 " " y[1] (analytic) = -2.2206196718189943 " " y[1] (numeric) = -2.2206196718193776 " " absolute error = 3.83248988100604040000000000000E-13 " " relative error = 1.725865050032048800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.360000000000447 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.860000000000426 " " Order of pole (three term test) = 1.0000000000000129 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.87000000000045 " " y[1] (analytic) = -2.211510910894667 " " y[1] (numeric) = -2.2115109108950435 " " absolute error = 3.7658764995285310000000000000E-13 " " relative error = 1.702852326423768500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.37000000000045 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.87000000000046 " " Order of pole (three term test) = 1.0000000000000913 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.88000000000045 " " y[1] (analytic) = -2.2023981290614927 " " y[1] (numeric) = -2.2023981290618755 " " absolute error = 3.828048988907540000000000000E-13 " " relative error = 1.738127606627955500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.38000000000045 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.88000000000041 " " Order of pole (three term test) = 1.0000000000000655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.89000000000045 " " y[1] (analytic) = -2.1932813279356083 " " y[1] (numeric) = -2.193281327935995 " " absolute error = 3.86801701779404540000000000000E-13 " " relative error = 1.763575410289365800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.39000000000045 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.890000000000484 " " Order of pole (three term test) = 1.0000000000000167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.900000000000453 " " y[1] (analytic) = -2.1841605091318392 " " y[1] (numeric) = -2.1841605091322243 " " absolute error = 3.8502534494000430000000000000E-13 " " relative error = 1.76280700676638620000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.400000000000453 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.900000000000365 " " Order of pole (three term test) = 1.0000000000000753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.910000000000455 " " y[1] (analytic) = -2.1750356742636967 " " y[1] (numeric) = -2.1750356742640884 " " absolute error = 3.91686683087755200000000000000E-13 " " relative error = 1.80082877592502400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.410000000000455 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.910000000000476 " " Order of pole (three term test) = 1.000000000000001 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.920000000000456 " " y[1] (analytic) = -2.1659068249434306 " " y[1] (numeric) = -2.1659068249438174 " " absolute error = 3.86801701779404540000000000000E-13 " " relative error = 1.78586491960247200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.420000000000456 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.920000000000698 " " Order of pole (three term test) = 0.9999999999998278 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.930000000000458 " " y[1] (analytic) = -2.156773962781955 " " y[1] (numeric) = -2.156773962782347 " " absolute error = 3.9213077229760530000000000000E-13 " " relative error = 1.81813569277240400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.430000000000458 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.93000000000052 " " Order of pole (three term test) = 0.9999999999999635 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.94000000000046 " " y[1] (analytic) = -2.147637089388926 " " y[1] (numeric) = -2.1476370893893213 " " absolute error = 3.95239396766555730000000000000E-13 " " relative error = 1.84034536709837880000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.44000000000046 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.940000000000275 " " Order of pole (three term test) = 1.0000000000001603 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.95000000000046 " " y[1] (analytic) = -2.1384962063726967 " " y[1] (numeric) = -2.1384962063730923 " " absolute error = 3.9568348597640580000000000000E-13 " " relative error = 1.850288463441146500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.45000000000046 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.950000000000426 " " Order of pole (three term test) = 1.0000000000001292 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.960000000000463 " " y[1] (analytic) = -2.129351315340326 " " y[1] (numeric) = -2.1293513153407244 " " absolute error = 3.98348021235506170000000000000E-13 " " relative error = 1.87074823381993100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.460000000000463 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.96000000000039 " " Order of pole (three term test) = 1.0000000000000302 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.970000000000464 " " y[1] (analytic) = -2.1202024178975982 " " y[1] (numeric) = -2.1202024178979926 " " absolute error = 3.9435121834685560000000000000E-13 " " relative error = 1.85996966618826900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.470000000000464 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.970000000000496 " " Order of pole (three term test) = 1.0000000000001108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.980000000000466 " " y[1] (analytic) = -2.111049515648986 " " y[1] (numeric) = -2.1110495156493867 " " absolute error = 4.0056846728475650000000000000E-13 " " relative error = 1.897484944409806300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.480000000000466 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.98000000000037 " " Order of pole (three term test) = 1.0000000000000793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 22.990000000000467 " " y[1] (analytic) = -2.1018926101977087 " " y[1] (numeric) = -2.101892610198112 " " absolute error = 4.03233002543856860000000000000E-13 " " relative error = 1.918428185091377600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.490000000000467 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 24.990000000000375 " " Order of pole (three term test) = 1.0000000000000926 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.00000000000047 " " y[1] (analytic) = -2.0927317031456916 " " y[1] (numeric) = -2.0927317031460904 " " absolute error = 3.98792110445356230000000000000E-13 " " relative error = 1.905605529107775600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.50000000000047 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.00000000000058 " " Order of pole (three term test) = 0.9999999999999766 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.01000000000047 " " y[1] (analytic) = -2.0835667960935567 " " y[1] (numeric) = -2.083566796093962 " " absolute error = 4.05453448593107170000000000000E-13 " " relative error = 1.945958485004103700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.51000000000047 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.010000000000538 " " Order of pole (three term test) = 0.999999999999965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.020000000000472 " " y[1] (analytic) = -2.074397890640686 " " y[1] (numeric) = -2.0743978906410874 " " absolute error = 4.0145664570445660000000000000E-13 " " relative error = 1.935292392629965300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.520000000000472 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.020000000000493 " " Order of pole (three term test) = 1.0000000000000075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.030000000000474 " " y[1] (analytic) = -2.0652249883851397 " " y[1] (numeric) = -2.0652249883855482 " " absolute error = 4.0856207306205760000000000000E-13 " " relative error = 1.978293286977533300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.530000000000474 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.03000000000046 " " Order of pole (three term test) = 1.000000000000083 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.040000000000475 " " y[1] (analytic) = -2.0560480909237384 " " y[1] (numeric) = -2.0560480909241496 " " absolute error = 4.112266083211580000000000000E-13 " " relative error = 2.000082634917370300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.540000000000475 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.040000000000575 " " Order of pole (three term test) = 0.9999999999998632 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.050000000000477 " " y[1] (analytic) = -2.046867199852013 " " y[1] (numeric) = -2.0468671998524215 " " absolute error = 4.0856207306205760000000000000E-13 " " relative error = 1.996036054960460300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.550000000000477 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.05000000000047 " " Order of pole (three term test) = 1.0000000000000595 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.06000000000048 " " y[1] (analytic) = -2.0376823167642044 " " y[1] (numeric) = -2.037682316764619 " " absolute error = 4.1477932199995850000000000000E-13 " " relative error = 2.035544591949049000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.56000000000048 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.06000000000035 " " Order of pole (three term test) = 1.0000000000001275 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.07000000000048 " " y[1] (analytic) = -2.0284934432533177 " " y[1] (numeric) = -2.0284934432537263 " " absolute error = 4.0856207306205760000000000000E-13 " " relative error = 2.014115817928411600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.57000000000048 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.070000000000643 " " Order of pole (three term test) = 0.9999999999997807 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.08000000000048 " " y[1] (analytic) = -2.0193005809110396 " " y[1] (numeric) = -2.019300580911455 " " absolute error = 4.15223411209808550000000000000E-13 " " relative error = 2.05627342028730500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.58000000000048 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.08000000000037 " " Order of pole (three term test) = 1.0000000000000724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.090000000000483 " " y[1] (analytic) = -2.010103731327831 " " y[1] (numeric) = -2.0101037313282486 " " absolute error = 4.17443857259058860000000000000E-13 " " relative error = 2.07672793574341800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.590000000000483 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.09000000000037 " " Order of pole (three term test) = 1.0000000000001334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.100000000000485 " " y[1] (analytic) = -2.000902896092871 " " y[1] (numeric) = -2.0009028960932826 " " absolute error = 4.11670697531008050000000000000E-13 " " relative error = 2.057424667308295800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.600000000000485 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.100000000000623 " " Order of pole (three term test) = 0.9999999999998506 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.110000000000486 " " y[1] (analytic) = -1.991698076794048 " " y[1] (numeric) = -1.9916980767944663 " " absolute error = 4.183320356787590000000000000E-13 " " relative error = 2.10037877001985300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.610000000000486 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.11000000000058 " " Order of pole (three term test) = 0.9999999999998611 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.120000000000488 " " y[1] (analytic) = -1.982489275018029 " " y[1] (numeric) = -1.982489275018444 " " absolute error = 4.1500136660488350000000000000E-13 " " relative error = 2.093334737465903600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.620000000000488 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.12000000000052 " " Order of pole (three term test) = 1.0000000000000366 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.13000000000049 " " y[1] (analytic) = -1.9732764923501769 " " y[1] (numeric) = -1.9732764923505968 " " absolute error = 4.1988634791323420000000000000E-13 " " relative error = 2.12786373091156920000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.63000000000049 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.130000000000532 " " Order of pole (three term test) = 1.000000000000161 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.14000000000049 " " y[1] (analytic) = -1.964059730374622 " " y[1] (numeric) = -1.964059730375044 " " absolute error = 4.2210679396248450000000000000E-13 " " relative error = 2.149154567116818300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.64000000000049 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.140000000000427 " " Order of pole (three term test) = 1.0000000000001386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.150000000000492 " " y[1] (analytic) = -1.9548389906742223 " " y[1] (numeric) = -1.954838990674645 " " absolute error = 4.2277292777725960000000000000E-13 " " relative error = 2.16269948468464700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.650000000000492 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.15000000000054 " " Order of pole (three term test) = 0.9999999999999828 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.160000000000494 " " y[1] (analytic) = -1.9456142748305751 " " y[1] (numeric) = -1.9456142748310001 " " absolute error = 4.2499337382650990000000000000E-13 " " relative error = 2.18436603454463470000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.660000000000494 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.16000000000064 " " Order of pole (three term test) = 0.9999999999998831 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.170000000000496 " " y[1] (analytic) = -1.9363855844240305 " " y[1] (numeric) = -1.9363855844244524 " " absolute error = 4.2188474935755950000000000000E-13 " " relative error = 2.178722836769347600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.670000000000496 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.170000000000645 " " Order of pole (three term test) = 0.9999999999998568 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.180000000000497 " " y[1] (analytic) = -1.927152921033663 " " y[1] (numeric) = -1.9271529210340894 " " absolute error = 4.2632564145606010000000000000E-13 " " relative error = 2.212204526184630400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.680000000000497 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.180000000000643 " " Order of pole (three term test) = 1.000000000000001 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.1900000000005 " " y[1] (analytic) = -1.9179162862373111 " " y[1] (numeric) = -1.9179162862377443 " " absolute error = 4.3320902420873610000000000000E-13 " " relative error = 2.258748347450726700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.6900000000005 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.1900000000007 " " Order of pole (three term test) = 0.9999999999998407 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.2000000000005 " " y[1] (analytic) = -1.9086756816115695 " " y[1] (numeric) = -1.9086756816119976 " " absolute error = 4.28101998295460360000000000000E-13 " " relative error = 2.242926875528675800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.7000000000005 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.200000000000326 " " Order of pole (three term test) = 1.0000000000000238 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.210000000000502 " " y[1] (analytic) = -1.899431108731747 " " y[1] (numeric) = -1.8994311087321787 " " absolute error = 4.31654711974260860000000000000E-13 " " relative error = 2.272547343201498400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.710000000000502 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.210000000000395 " " Order of pole (three term test) = 1.000000000000027 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.220000000000503 " " y[1] (analytic) = -1.8901825691719374 " " y[1] (numeric) = -1.8901825691723666 " " absolute error = 4.2921222132008550000000000000E-13 " " relative error = 2.27074478582308280000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.720000000000503 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.22000000000057 " " Order of pole (three term test) = 0.9999999999999449 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.230000000000505 " " y[1] (analytic) = -1.880930064504959 " " y[1] (numeric) = -1.8809300645053928 " " absolute error = 4.3387515802351120000000000000E-13 " " relative error = 2.306705423083885700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.730000000000505 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.230000000000718 " " Order of pole (three term test) = 0.9999999999998387 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.240000000000506 " " y[1] (analytic) = -1.8716735963024043 " " y[1] (numeric) = -1.8716735963028417 " " absolute error = 4.3742787170231170000000000000E-13 " " relative error = 2.337094846913878600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.740000000000506 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.240000000000517 " " Order of pole (three term test) = 0.9999999999999669 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.250000000000508 " " y[1] (analytic) = -1.8624131661346155 " " y[1] (numeric) = -1.862413166135052 " " absolute error = 4.36539693282611550000000000000E-13 " " relative error = 2.343946559337512800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.750000000000508 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.250000000000785 " " Order of pole (three term test) = 0.9999999999997541 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.26000000000051 " " y[1] (analytic) = -1.853148775570677 " " y[1] (numeric) = -1.8531487755711193 " " absolute error = 4.42312853010662370000000000000E-13 " " relative error = 2.38681782510663300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.76000000000051 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.26000000000069 " " Order of pole (three term test) = 0.9999999999998843 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.27000000000051 " " y[1] (analytic) = -1.8438804261784583 " " y[1] (numeric) = -1.8438804261788964 " " absolute error = 4.38094005517086770000000000000E-13 " " relative error = 2.375935008025765500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.77000000000051 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.270000000000586 " " Order of pole (three term test) = 0.9999999999999621 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.280000000000513 " " y[1] (analytic) = -1.8346081195245496 " " y[1] (numeric) = -1.834608119524995 " " absolute error = 4.4542147747961280000000000000E-13 " " relative error = 2.427883495877291600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.780000000000513 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.280000000000612 " " Order of pole (three term test) = 0.9999999999999069 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.290000000000514 " " y[1] (analytic) = -1.8253318571743442 " " y[1] (numeric) = -1.825331857174788 " " absolute error = 4.4386716524513760000000000000E-13 " " relative error = 2.431706670217514000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.790000000000514 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.29000000000055 " " Order of pole (three term test) = 0.9999999999999568 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.300000000000516 " " y[1] (analytic) = -1.8160516406919704 " " y[1] (numeric) = -1.81605164069241 " " absolute error = 4.396483177515620000000000000E-13 " " relative error = 2.420902070736506000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.800000000000516 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.30000000000053 " " Order of pole (three term test) = 0.9999999999999427 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.310000000000517 " " y[1] (analytic) = -1.8067674716403097 " " y[1] (numeric) = -1.8067674716407591 " " absolute error = 4.49418280368263370000000000000E-13 " " relative error = 2.487416269234967400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.810000000000517 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.31000000000063 " " Order of pole (three term test) = 0.9999999999999006 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.32000000000052 " " y[1] (analytic) = -1.7974793515810568 " " y[1] (numeric) = -1.7974793515814986 " " absolute error = 4.4186876380081230000000000000E-13 " " relative error = 2.458268927607685500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.82000000000052 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.32000000000076 " " Order of pole (three term test) = 0.9999999999997902 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.33000000000052 " " y[1] (analytic) = -1.788187282074606 " " y[1] (numeric) = -1.788187282075058 " " absolute error = 4.5186077102243870000000000000E-13 " " relative error = 2.526920840742152000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.83000000000052 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.330000000000656 " " Order of pole (three term test) = 0.9999999999999656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.340000000000522 " " y[1] (analytic) = -1.7788912646801833 " " y[1] (numeric) = -1.7788912646806347 " " absolute error = 4.51416681812588650000000000000E-13 " " relative error = 2.53762942556101800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.840000000000522 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.34000000000056 " " Order of pole (three term test) = 1.0000000000000147 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.350000000000524 " " y[1] (analytic) = -1.7695913009557422 " " y[1] (numeric) = -1.7695913009561959 " " absolute error = 4.53637127861838960000000000000E-13 " " relative error = 2.563513550370829500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.850000000000524 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.350000000000836 " " Order of pole (three term test) = 0.9999999999997193 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.360000000000525 " " y[1] (analytic) = -1.7602873924580251 " " y[1] (numeric) = -1.7602873924584792 " " absolute error = 4.540812170716890000000000000E-13 " " relative error = 2.57958569161607400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.860000000000525 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.360000000000806 " " Order of pole (three term test) = 0.999999999999911 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.370000000000527 " " y[1] (analytic) = -1.750979540742545 " " y[1] (numeric) = -1.7509795407429947 " " absolute error = 4.4964032497318840000000000000E-13 " " relative error = 2.567935915359168500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.870000000000527 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.37000000000076 " " Order of pole (three term test) = 0.9999999999997948 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.38000000000053 " " y[1] (analytic) = -1.7416677473635716 " " y[1] (numeric) = -1.7416677473640263 " " absolute error = 4.5474735088646410000000000000E-13 " " relative error = 2.610987954360597400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.88000000000053 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.380000000000564 " " Order of pole (three term test) = 0.9999999999998938 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.39000000000053 " " y[1] (analytic) = -1.7323520138741735 " " y[1] (numeric) = -1.7323520138746327 " " absolute error = 4.5918824298496475000000000000E-13 " " relative error = 2.650663602474485600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.89000000000053 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.390000000000807 " " Order of pole (three term test) = 0.999999999999817 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.40000000000053 " " y[1] (analytic) = -1.723032341826194 " " y[1] (numeric) = -1.7230323418266498 " " absolute error = 4.5585757391108930000000000000E-13 " " relative error = 2.64567044300479300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.90000000000053 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.4000000000005 " " Order of pole (three term test) = 1.0000000000000406 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.410000000000533 " " y[1] (analytic) = -1.713708732770229 " " y[1] (numeric) = -1.713708732770691 " " absolute error = 4.6207482284899015000000000000E-13 " " relative error = 2.69634398199069200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.910000000000533 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.410000000000686 " " Order of pole (three term test) = 0.9999999999997724 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.420000000000535 " " y[1] (analytic) = -1.7043811882556916 " " y[1] (numeric) = -1.70438118825615 " " absolute error = 4.5830006456526460000000000000E-13 " " relative error = 2.688952845309804000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.920000000000535 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.42000000000061 " " Order of pole (three term test) = 0.9999999999999987 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.430000000000536 " " y[1] (analytic) = -1.6950497098307373 " " y[1] (numeric) = -1.6950497098312005 " " absolute error = 4.6318504587361530000000000000E-13 " " relative error = 2.732574998758399700000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.930000000000536 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.43000000000053 " " Order of pole (three term test) = 1.0000000000000058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.440000000000538 " " y[1] (analytic) = -1.6857142990423313 " " y[1] (numeric) = -1.6857142990427993 " " absolute error = 4.680700271819660000000000000E-13 " " relative error = 2.776686579973134400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.940000000000538 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.440000000000687 " " Order of pole (three term test) = 0.9999999999999314 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.45000000000054 " " y[1] (analytic) = -1.6763749574362237 " " y[1] (numeric) = -1.6763749574366869 " " absolute error = 4.6318504587361530000000000000E-13 " " relative error = 2.76301577889227600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.95000000000054 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.450000000000585 " " Order of pole (three term test) = 0.9999999999999548 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.46000000000054 " " y[1] (analytic) = -1.6670316865569212 " " y[1] (numeric) = -1.6670316865573889 " " absolute error = 4.6762593797211593000000000000E-13 " " relative error = 2.805141268417928000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.96000000000054 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.460000000000743 " " Order of pole (three term test) = 0.9999999999999415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.470000000000542 " " y[1] (analytic) = -1.6576844879477513 " " y[1] (numeric) = -1.6576844879482175 " " absolute error = 4.6629367034256575000000000000E-13 " " relative error = 2.812921721429916000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.970000000000542 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.470000000000628 " " Order of pole (three term test) = 0.9999999999999779 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.480000000000544 " " y[1] (analytic) = -1.648333363150801 " " y[1] (numeric) = -1.6483333631512735 " " absolute error = 4.7251091928046660000000000000E-13 " " relative error = 2.86659804286954800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.980000000000544 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.480000000000395 " " Order of pole (three term test) = 1.0000000000000764 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.490000000000546 " " y[1] (analytic) = -1.6389783137069713 " " y[1] (numeric) = -1.6389783137074472 " " absolute error = 4.7584158835434210000000000000E-13 " " relative error = 2.90328178460216400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 24.990000000000546 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.490000000000414 " " Order of pole (three term test) = 1.0000000000001203 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.500000000000547 " " y[1] (analytic) = -1.6296193411559479 " " y[1] (numeric) = -1.6296193411564193 " " absolute error = 4.7140069625584147000000000000E-13 " " relative error = 2.892704353407219400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.000000000000547 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.50000000000062 " " Order of pole (three term test) = 0.9999999999997754 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.51000000000055 " " y[1] (analytic) = -1.620256447036187 " " y[1] (numeric) = -1.6202564470366634 " " absolute error = 4.7628567756419216000000000000E-13 " " relative error = 2.939569710927091300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.01000000000055 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.51000000000055 " " Order of pole (three term test) = 1.0000000000000768 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.52000000000055 " " y[1] (analytic) = -1.610889632884973 " " y[1] (numeric) = -1.610889632885447 " " absolute error = 4.7384318691001680000000000000E-13 " " relative error = 2.94150000867161800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.02000000000055 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.52000000000058 " " Order of pole (three term test) = 1.000000000000105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.530000000000552 " " y[1] (analytic) = -1.6015189002383536 " " y[1] (numeric) = -1.6015189002388324 " " absolute error = 4.7872816821836750000000000000E-13 " " relative error = 2.989213353318019000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.030000000000552 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.53000000000062 " " Order of pole (three term test) = 0.9999999999997798 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.540000000000553 " " y[1] (analytic) = -1.592144250631197 " " y[1] (numeric) = -1.592144250631679 " " absolute error = 4.820588372922429700000000000E-13 " " relative error = 3.02773342993973900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.040000000000553 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.540000000000642 " " Order of pole (three term test) = 1.000000000000043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.550000000000555 " " y[1] (analytic) = -1.5827656855971632 " " y[1] (numeric) = -1.582765685597644 " " absolute error = 4.8072656966269280000000000000E-13 " " relative error = 3.0372567085400200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.050000000000555 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.550000000000683 " " Order of pole (three term test) = 0.9999999999998854 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.560000000000556 " " y[1] (analytic) = -1.573383206668698 " " y[1] (numeric) = -1.5733832066691842 " " absolute error = 4.8627768478581856000000000000E-13 " " relative error = 3.090650025529428400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.060000000000556 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.56000000000048 " " Order of pole (three term test) = 1.000000000000071 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.570000000000558 " " y[1] (analytic) = -1.5639968153770774 " " y[1] (numeric) = -1.5639968153775572 " " absolute error = 4.7983839124299266000000000000E-13 " " relative error = 3.068026651494839600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.070000000000558 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.57000000000048 " " Order of pole (three term test) = 0.9999999999999613 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.58000000000056 " " y[1] (analytic) = -1.5546065132523346 " " y[1] (numeric) = -1.554606513252823 " " absolute error = 4.8849813083506890000000000000E-13 " " relative error = 3.14226221664992300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.08000000000056 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.580000000000894 " " Order of pole (three term test) = 0.9999999999997423 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.59000000000056 " " y[1] (analytic) = -1.545212301823355 " " y[1] (numeric) = -1.5452123018238455 " " absolute error = 4.9049653227939416000000000000E-13 " " relative error = 3.17429864945164340000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.09000000000056 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.59000000000069 " " Order of pole (three term test) = 0.9999999999999711 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.600000000000563 " " y[1] (analytic) = -1.535814182617809 " " y[1] (numeric) = -1.5358141826182934 " " absolute error = 4.8427928334149330000000000000E-13 " " relative error = 3.15324138051671640000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.100000000000563 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.60000000000063 " " Order of pole (three term test) = 0.9999999999999583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.610000000000564 " " y[1] (analytic) = -1.5264121571621487 " " y[1] (numeric) = -1.526412157162642 " " absolute error = 4.9316106753849454000000000000E-13 " " relative error = 3.230851282365060000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.110000000000564 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.610000000000483 " " Order of pole (three term test) = 1.000000000000122 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.620000000000566 " " y[1] (analytic) = -1.5170062269816889 " " y[1] (numeric) = -1.5170062269821742 " " absolute error = 4.8538950636611844000000000000E-13 " " relative error = 3.1996540141557200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.120000000000566 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.620000000000417 " " Order of pole (three term test) = 1.0000000000000853 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.630000000000567 " " y[1] (analytic) = -1.5075963936004904 " " y[1] (numeric) = -1.507596393600983 " " absolute error = 4.9271697832864450000000000000E-13 " " relative error = 3.268228687864674000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.130000000000567 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.630000000000347 " " Order of pole (three term test) = 1.000000000000119 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.64000000000057 " " y[1] (analytic) = -1.4981826585414773 " " y[1] (numeric) = -1.4981826585419715 " " absolute error = 4.9427129056311970000000000000E-13 " " relative error = 3.29913904519697650000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.14000000000057 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.640000000000487 " " Order of pole (three term test) = 1.000000000000046 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.65000000000057 " " y[1] (analytic) = -1.4887650233263585 " " y[1] (numeric) = -1.4887650233268548 " " absolute error = 4.962696920074450000000000000E-13 " " relative error = 3.333431966977743500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.15000000000057 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.65000000000053 " " Order of pole (three term test) = 1.0000000000000042 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.660000000000572 " " y[1] (analytic) = -1.4793434894756636 " " y[1] (numeric) = -1.4793434894761617 " " absolute error = 4.9804604884684520000000000000E-13 " " relative error = 3.3666694205236397000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.160000000000572 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.660000000000387 " " Order of pole (three term test) = 1.0000000000000826 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.670000000000574 " " y[1] (analytic) = -1.4699180585087426 " " y[1] (numeric) = -1.469918058509236 " " absolute error = 4.9338311214341957000000000000E-13 " " relative error = 3.35653480333431200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.170000000000574 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.670000000000687 " " Order of pole (three term test) = 0.9999999999999931 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.680000000000575 " " y[1] (analytic) = -1.4604887319437374 " " y[1] (numeric) = -1.4604887319442375 " " absolute error = 5.0004445029117050000000000000E-13 " " relative error = 3.423815873099347000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.180000000000575 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.68000000000062 " " Order of pole (three term test) = 1.0000000000000708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.690000000000577 " " y[1] (analytic) = -1.451055511297639 " " y[1] (numeric) = -1.4510555112981436 " " absolute error = 5.0448534238967110000000000000E-13 " " relative error = 3.4766784486316704000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.190000000000577 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.690000000000712 " " Order of pole (three term test) = 0.9999999999999772 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.70000000000058 " " y[1] (analytic) = -1.441618398086252 " " y[1] (numeric) = -1.441618398086751 " " absolute error = 4.9893422726654535000000000000E-13 " " relative error = 3.460931325022491600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.20000000000058 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.700000000000646 " " Order of pole (three term test) = 0.9999999999999457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.71000000000058 " " y[1] (analytic) = -1.432177393824169 " " y[1] (numeric) = -1.4321773938246765 " " absolute error = 5.0737192225369650000000000000E-13 " " relative error = 3.54266115665268940000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.21000000000058 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.710000000000583 " " Order of pole (three term test) = 1.0000000000000415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.72000000000058 " " y[1] (analytic) = -1.422732500024857 " " y[1] (numeric) = -1.4227325000253588 " " absolute error = 5.0182080713057080000000000000E-13 " " relative error = 3.527162042912517000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.22000000000058 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.720000000000375 " " Order of pole (three term test) = 1.0000000000001787 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.730000000000583 " " y[1] (analytic) = -1.4132837182005495 " " y[1] (numeric) = -1.4132837182010598 " " absolute error = 5.1025850211772200000000000000E-13 " " relative error = 3.610446335343082700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.230000000000583 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.73000000000022 " " Order of pole (three term test) = 1.000000000000344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.740000000000585 " " y[1] (analytic) = -1.4038310498623545 " " y[1] (numeric) = -1.4038310498628659 " " absolute error = 5.1136872514234710000000000000E-13 " " relative error = 3.64266572670897100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.240000000000585 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.740000000000787 " " Order of pole (three term test) = 0.9999999999998554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.750000000000586 " " y[1] (analytic) = -1.3943744965201788 " " y[1] (numeric) = -1.3943744965206892 " " absolute error = 5.104805467226470000000000000E-13 " " relative error = 3.66100031230210900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.250000000000586 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.750000000000842 " " Order of pole (three term test) = 0.9999999999998602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.760000000000588 " " y[1] (analytic) = -1.3849140596827567 " " y[1] (numeric) = -1.3849140596832694 " " absolute error = 5.1270099277189730000000000000E-13 " " relative error = 3.70204193673463100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.260000000000588 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.76000000000061 " " Order of pole (three term test) = 0.9999999999999324 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.77000000000059 " " y[1] (analytic) = -1.3754497408576647 " " y[1] (numeric) = -1.3754497408581743 " " absolute error = 5.0959236830294690000000000000E-13 " " relative error = 3.70491449571388500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.27000000000059 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.77000000000083 " " Order of pole (three term test) = 0.9999999999997545 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.78000000000059 " " y[1] (analytic) = -1.3659815415512853 " " y[1] (numeric) = -1.3659815415518022 " " absolute error = 5.1691984026547290000000000000E-13 " " relative error = 3.78423737467513400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.28000000000059 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.78000000000066 " " Order of pole (three term test) = 0.9999999999998338 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.790000000000592 " " y[1] (analytic) = -1.3565094632688641 " " y[1] (numeric) = -1.3565094632693824 " " absolute error = 5.1825210789502310000000000000E-13 " " relative error = 3.820482804787510600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.290000000000592 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.790000000000592 " " Order of pole (three term test) = 1.0000000000000526 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.800000000000594 " " y[1] (analytic) = -1.3470335075144604 " " y[1] (numeric) = -1.347033507514977 " " absolute error = 5.1669779566054790000000000000E-13 " " relative error = 3.835819916714292600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.300000000000594 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.80000000000063 " " Order of pole (three term test) = 0.9999999999999576 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.810000000000596 " " y[1] (analytic) = -1.3375536757909607 " " y[1] (numeric) = -1.3375536757914825 " " absolute error = 5.2180482157382360000000000000E-13 " " relative error = 3.901187900106176700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.310000000000596 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.810000000000674 " " Order of pole (three term test) = 0.9999999999999095 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.820000000000597 " " y[1] (analytic) = -1.328069969600115 " " y[1] (numeric) = -1.3280699696006304 " " absolute error = 5.1536552803099770000000000000E-13 " " relative error = 3.88056005954396700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.320000000000597 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.820000000000597 " " Order of pole (three term test) = 1.000000000000056 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.8300000000006 " " y[1] (analytic) = -1.3185823904424652 " " y[1] (numeric) = -1.318582390442989 " " absolute error = 5.2380322301814890000000000000E-13 " " relative error = 3.97247245841331700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.3300000000006 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.830000000000698 " " Order of pole (three term test) = 0.9999999999998602 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.8400000000006 " " y[1] (analytic) = -1.3090909398174375 " " y[1] (numeric) = -1.3090909398179646 " " absolute error = 5.2713389209202430000000000000E-13 " " relative error = 4.02671713674480900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.3400000000006 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.8400000000006 " " Order of pole (three term test) = 1.0000000000000266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.850000000000602 " " y[1] (analytic) = -1.299595619223279 " " y[1] (numeric) = -1.2995956192238034 " " absolute error = 5.244693568329240000000000000E-13 " " relative error = 4.035635001188909700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.350000000000602 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.85000000000055 " " Order of pole (three term test) = 1.0000000000000662 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.860000000000603 " " y[1] (analytic) = -1.2900964301570639 " " y[1] (numeric) = -1.2900964301575921 " " absolute error = 5.2824411511664950000000000000E-13 " " relative error = 4.09460954056231300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.360000000000603 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.860000000000557 " " Order of pole (three term test) = 1.0000000000000024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.870000000000605 " " y[1] (analytic) = -1.280593374114737 " " y[1] (numeric) = -1.2805933741152598 " " absolute error = 5.2269299999352370000000000000E-13 " " relative error = 4.08164691899063400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.370000000000605 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.870000000000598 " " Order of pole (three term test) = 0.9999999999999316 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.880000000000607 " " y[1] (analytic) = -1.2710864525910495 " " y[1] (numeric) = -1.2710864525915786 " " absolute error = 5.2913229353634960000000000000E-13 " " relative error = 4.16283481314538850000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.380000000000607 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.880000000000713 " " Order of pole (three term test) = 0.9999999999999191 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.890000000000608 " " y[1] (analytic) = -1.261575667079633 " " y[1] (numeric) = -1.261575667080166 " " absolute error = 5.3312909642500020000000000000E-13 " " relative error = 4.225898694282188600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.390000000000608 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.890000000000768 " " Order of pole (three term test) = 0.9999999999998908 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.90000000000061 " " y[1] (analytic) = -1.2520610190729577 " " y[1] (numeric) = -1.2520610190734858 " " absolute error = 5.2802207051172450000000000000E-13 " " relative error = 4.217223142228953600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.40000000000061 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.9000000000008 " " Order of pole (three term test) = 0.999999999999977 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.91000000000061 " " y[1] (analytic) = -1.2425425100623144 " " y[1] (numeric) = -1.2425425100628484 " " absolute error = 5.3401727484470030000000000000E-13 " " relative error = 4.29777871195665500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.41000000000061 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.91000000000087 " " Order of pole (three term test) = 0.9999999999997978 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.920000000000613 " " y[1] (analytic) = -1.2330201415378816 " " y[1] (numeric) = -1.233020141538414 " " absolute error = 5.3246296261022510000000000000E-13 " " relative error = 4.318363866677083500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.420000000000613 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.92000000000063 " " Order of pole (three term test) = 0.9999999999999631 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.930000000000614 " " y[1] (analytic) = -1.223493914988655 " " y[1] (numeric) = -1.2234939149891926 " " absolute error = 5.3756998852350080000000000000E-13 " " relative error = 4.393728337655733500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.430000000000614 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.930000000000486 " " Order of pole (three term test) = 1.0000000000000537 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.940000000000616 " " y[1] (analytic) = -1.213963831902504 " " y[1] (numeric) = -1.2139638319030457 " " absolute error = 5.4178883601707640000000000000E-13 " " relative error = 4.462973457520509300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.440000000000616 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.94000000000069 " " Order of pole (three term test) = 1.0000000000000713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.950000000000617 " " y[1] (analytic) = -1.2044298937661466 " " y[1] (numeric) = -1.2044298937666875 " " absolute error = 5.4090065759737630000000000000E-13 " " relative error = 4.490926872514160000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.450000000000617 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.950000000000557 " " Order of pole (three term test) = 1.0000000000001248 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.96000000000062 " " y[1] (analytic) = -1.1948921020651433 " " y[1] (numeric) = -1.1948921020656869 " " absolute error = 5.4356519285647660000000000000E-13 " " relative error = 4.54907344284080360000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.46000000000062 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.960000000000562 " " Order of pole (three term test) = 1.0000000000001321 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.97000000000062 " " y[1] (analytic) = -1.1853504582839278 " " y[1] (numeric) = -1.1853504582844676 " " absolute error = 5.3979043457275110000000000000E-13 " " relative error = 4.55384676152421730000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.47000000000062 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.970000000000727 " " Order of pole (three term test) = 0.9999999999998976 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.980000000000622 " " y[1] (analytic) = -1.1758049639057653 " " y[1] (numeric) = -1.1758049639063106 " " absolute error = 5.4534154969587690000000000000E-13 " " relative error = 4.638027278642984400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.480000000000622 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.980000000000636 " " Order of pole (three term test) = 1.0000000000000009 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 23.990000000000624 " " y[1] (analytic) = -1.1662556204128087 " " y[1] (numeric) = -1.166255620413355 " " absolute error = 5.462297281155770000000000000E-13 " " relative error = 4.68361925597608750000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.490000000000624 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 25.990000000000574 " " Order of pole (three term test) = 1.0000000000000908 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.000000000000625 " " y[1] (analytic) = -1.1567024292860566 " " y[1] (numeric) = -1.1567024292865993 " " absolute error = 5.4267701443677650000000000000E-13 " " relative error = 4.69158705555524200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.500000000000625 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.000000000000735 " " Order of pole (three term test) = 0.9999999999999892 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.010000000000627 " " y[1] (analytic) = -1.1471453920053527 " " y[1] (numeric) = -1.1471453920059025 " " absolute error = 5.4978244179437750000000000000E-13 " " relative error = 4.792613435279459000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.510000000000627 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.010000000000467 " " Order of pole (three term test) = 1.000000000000123 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.02000000000063 " " y[1] (analytic) = -1.1375845100494288 " " y[1] (numeric) = -1.137584510049986 " " absolute error = 5.5710991375690360000000000000E-13 " " relative error = 4.8973057283691096000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.52000000000063 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.020000000000586 " " Order of pole (three term test) = 1.0000000000000422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.03000000000063 " " y[1] (analytic) = -1.1280197848958835 " " y[1] (numeric) = -1.1280197848964346 " " absolute error = 5.5111470942392770000000000000E-13 " " relative error = 4.885683006657509700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.53000000000063 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.03000000000058 " " Order of pole (three term test) = 1.000000000000076 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.04000000000063 " " y[1] (analytic) = -1.1184512180211428 " " y[1] (numeric) = -1.1184512180216977 " " absolute error = 5.5488946770765320000000000000E-13 " " relative error = 4.96123084106797230000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.54000000000063 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.040000000000564 " " Order of pole (three term test) = 1.0000000000000104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.050000000000633 " " y[1] (analytic) = -1.1088788109005385 " " y[1] (numeric) = -1.1088788109010905 " " absolute error = 5.5200288784362780000000000000E-13 " " relative error = 4.97802719663600800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.550000000000633 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.05000000000058 " " Order of pole (three term test) = 1.0000000000000493 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.060000000000635 " " y[1] (analytic) = -1.0993025650082373 " " y[1] (numeric) = -1.0993025650087962 " " absolute error = 5.5888627059630380000000000000E-13 " " relative error = 5.08400770075630700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.560000000000635 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.060000000000706 " " Order of pole (three term test) = 0.9999999999998324 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.070000000000636 " " y[1] (analytic) = -1.0897224818173044 " " y[1] (numeric) = -1.0897224818178657 " " absolute error = 5.6132876125047910000000000000E-13 " " relative error = 5.15111664315087400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.570000000000636 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.070000000000654 " " Order of pole (three term test) = 0.9999999999999843 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.080000000000638 " " y[1] (analytic) = -1.080138562799661 " " y[1] (numeric) = -1.0801385628002205 " " absolute error = 5.5955240441107890000000000000E-13 " " relative error = 5.1803761450822490000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.580000000000638 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.08000000000051 " " Order of pole (three term test) = 1.000000000000009 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.09000000000064 " " y[1] (analytic) = -1.0705508094260914 " " y[1] (numeric) = -1.0705508094266531 " " absolute error = 5.6177285046032920000000000000E-13 " " relative error = 5.24751226671332400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.59000000000064 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.090000000000853 " " Order of pole (three term test) = 0.9999999999998274 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.10000000000064 " " y[1] (analytic) = -1.0609592231662717 " " y[1] (numeric) = -1.0609592231668288 " " absolute error = 5.5710991375690360000000000000E-13 " " relative error = 5.25100212705907500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.60000000000064 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.100000000000424 " " Order of pole (three term test) = 1.0000000000002487 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.110000000000642 " " y[1] (analytic) = -1.0513638054887195 " " y[1] (numeric) = -1.051363805489286 " " absolute error = 5.6643578716375490000000000000E-13 " " relative error = 5.387628756160680000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.610000000000642 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.11000000000076 " " Order of pole (three term test) = 0.9999999999999691 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.120000000000644 " " y[1] (analytic) = -1.0417645578608692 " " y[1] (numeric) = -1.041764557861439 " " absolute error = 5.6976645623763030000000000000E-13 " " relative error = 5.469244004687328000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.620000000000644 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.120000000000733 " " Order of pole (three term test) = 0.9999999999999709 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.130000000000646 " " y[1] (analytic) = -1.0321614817490108 " " y[1] (numeric) = -1.0321614817495781 " " absolute error = 5.673239655834550000000000000E-13 " " relative error = 5.496465190912930000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.630000000000646 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.130000000000585 " " Order of pole (three term test) = 1.0000000000000802 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.140000000000647 " " y[1] (analytic) = -1.0225545786183012 " " y[1] (numeric) = -1.0225545786188714 " " absolute error = 5.7021054544748040000000000000E-13 " " relative error = 5.57633359989411800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.640000000000647 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.140000000000583 " " Order of pole (three term test) = 0.9999999999999747 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.15000000000065 " " y[1] (analytic) = -1.012943849932796 " " y[1] (numeric) = -1.012943849933366 " " absolute error = 5.6998850084255540000000000000E-13 " " relative error = 5.627049326380444000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.65000000000065 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.150000000000553 " " Order of pole (three term test) = 1.000000000000051 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.16000000000065 " " y[1] (analytic) = -1.0033292971554175 " " y[1] (numeric) = -1.0033292971559893 " " absolute error = 5.7176485768195560000000000000E-13 " " relative error = 5.69867599105289700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.66000000000065 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.16000000000057 " " Order of pole (three term test) = 1.0000000000001075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.170000000000652 " " y[1] (analytic) = -0.9937109217479758 " " y[1] (numeric) = -0.9937109217485499 " " absolute error = 5.7409632603366840000000000000E-13 " " relative error = 5.777297134098224000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.670000000000652 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.17000000000092 " " Order of pole (three term test) = 0.9999999999997583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.180000000000653 " " y[1] (analytic) = -0.9840887251711621 " " y[1] (numeric) = -0.9840887251717397 " " absolute error = 5.7764903971246900000000000000E-13 " " relative error = 5.86988779504610800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.680000000000653 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.180000000000557 " " Order of pole (three term test) = 1.0000000000000326 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.190000000000655 " " y[1] (analytic) = -0.9744627088845554 " " y[1] (numeric) = -0.9744627088851346 " " absolute error = 5.7920335194694420000000000000E-13 " " relative error = 5.94382264879016900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.690000000000655 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.19000000000041 " " Order of pole (three term test) = 1.0000000000002385 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.200000000000657 " " y[1] (analytic) = -0.964832874346623 " " y[1] (numeric) = -0.9648328743471959 " " absolute error = 5.7287508070658080000000000000E-13 " " relative error = 5.93755764276302400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.700000000000657 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.200000000000706 " " Order of pole (three term test) = 1.0000000000000024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.210000000000658 " " y[1] (analytic) = -0.9551992230146915 " " y[1] (numeric) = -0.9551992230152713 " " absolute error = 5.7975846345925670000000000000E-13 " " relative error = 6.06950308888954800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.710000000000658 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.21000000000065 " " Order of pole (three term test) = 1.0000000000000444 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.22000000000066 " " y[1] (analytic) = -0.9455617563450076 " " y[1] (numeric) = -0.9455617563455967 " " absolute error = 5.8908433686610810000000000000E-13 " " relative error = 6.22999325970168200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.72000000000066 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.22000000000032 " " Order of pole (three term test) = 1.000000000000318 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.23000000000066 " " y[1] (analytic) = -0.9359204757927166 " " y[1] (numeric) = -0.9359204757932973 " " absolute error = 5.8064664187895690000000000000E-13 " " relative error = 6.20401686785572400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.73000000000066 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.230000000000793 " " Order of pole (three term test) = 0.9999999999998813 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.240000000000663 " " y[1] (analytic) = -0.9262753828118022 " " y[1] (numeric) = -0.9262753828123885 " " absolute error = 5.8630877930454520000000000000E-13 " " relative error = 6.32974588534076800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.740000000000663 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.240000000000908 " " Order of pole (three term test) = 0.999999999999755 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.250000000000664 " " y[1] (analytic) = -0.9166264788551928 " " y[1] (numeric) = -0.9166264788557777 " " absolute error = 5.849765116749950000000000000E-13 " " relative error = 6.38184173345715300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.750000000000664 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.250000000000856 " " Order of pole (three term test) = 0.9999999999998873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.260000000000666 " " y[1] (analytic) = -0.9069737653746763 " " y[1] (numeric) = -0.9069737653752653 " " absolute error = 5.8897331456364550000000000000E-13 " " relative error = 6.4938296679434500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.760000000000666 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.260000000000684 " " Order of pole (three term test) = 0.9999999999999141 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.270000000000667 " " y[1] (analytic) = -0.8973172438209538 " " y[1] (numeric) = -0.8973172438215459 " " absolute error = 5.920819390325960000000000000E-13 " " relative error = 6.59835685884508800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.770000000000667 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.270000000000543 " " Order of pole (three term test) = 1.000000000000157 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.28000000000067 " " y[1] (analytic) = -0.8876569156436211 " " y[1] (numeric) = -0.8876569156442096 " " absolute error = 5.884182030513330000000000000E-13 " " relative error = 6.62889222943397500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.78000000000067 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.280000000000737 " " Order of pole (three term test) = 0.999999999999945 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.29000000000067 " " y[1] (analytic) = -0.8779927822911482 " " y[1] (numeric) = -0.8779927822917434 " " absolute error = 5.9519056350154640000000000000E-13 " " relative error = 6.77899153052692700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.79000000000067 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.290000000000894 " " Order of pole (three term test) = 0.9999999999998642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.300000000000672 " " y[1] (analytic) = -0.8683248452109424 " " y[1] (numeric) = -0.8683248452115323 " " absolute error = 5.8986149298334570000000000000E-13 " " relative error = 6.79309703317369000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.800000000000672 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.30000000000083 " " Order of pole (three term test) = 0.9999999999998903 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.310000000000674 " " y[1] (analytic) = -0.8586531058492675 " " y[1] (numeric) = -0.8586531058498609 " " absolute error = 5.9341420666214620000000000000E-13 " " relative error = 6.9109888803723410000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.810000000000674 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.310000000000898 " " Order of pole (three term test) = 0.999999999999777 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.320000000000675 " " y[1] (analytic) = -0.8489775656513139 " " y[1] (numeric) = -0.848977565651914 " " absolute error = 6.0007554480989710000000000000E-13 " " relative error = 7.06821439209096800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.820000000000675 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.3200000000007 " " Order of pole (three term test) = 0.9999999999999877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.330000000000677 " " y[1] (analytic) = -0.8392982260611817 " " y[1] (numeric) = -0.8392982260617783 " " absolute error = 5.9663385343355910000000000000E-13 " " relative error = 7.10872291763984700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.830000000000677 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.330000000000794 " " Order of pole (three term test) = 0.9999999999999261 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.34000000000068 " " y[1] (analytic) = -0.8296150885218445 " " y[1] (numeric) = -0.8296150885224439 " " absolute error = 5.994094109951220000000000000E-13 " " relative error = 7.22515078725378100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.84000000000068 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.3400000000007 " " Order of pole (three term test) = 1.00000000000002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.35000000000068 " " y[1] (analytic) = -0.8199281544752033 " " y[1] (numeric) = -0.8199281544758049 " " absolute error = 6.0162985704437230000000000000E-13 " " relative error = 7.33759237026623200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.85000000000068 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.350000000000968 " " Order of pole (three term test) = 0.9999999999999016 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.36000000000068 " " y[1] (analytic) = -0.8102374253620575 " " y[1] (numeric) = -0.8102374253626612 " " absolute error = 6.0373928079116010000000000000E-13 " " relative error = 7.4513872340737300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.86000000000068 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.36000000000068 " " Order of pole (three term test) = 0.9999999999999992 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.370000000000683 " " y[1] (analytic) = -0.8005429026221123 " " y[1] (numeric) = -0.8005429026227193 " " absolute error = 6.0706994986503560000000000000E-13 " " relative error = 7.5832281802340400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.870000000000683 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.370000000000683 " " Order of pole (three term test) = 1.0000000000000542 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.380000000000685 " " y[1] (analytic) = -0.7908445876939894 " " y[1] (numeric) = -0.7908445876945941 " " absolute error = 6.0473848151332280000000000000E-13 " " relative error = 7.64674236788633400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.880000000000685 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.38000000000054 " " Order of pole (three term test) = 1.0000000000000713 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.390000000000686 " " y[1] (analytic) = -0.781142482015202 " " y[1] (numeric) = -0.7811424820158094 " " absolute error = 6.0740301677242310000000000000E-13 " " relative error = 7.77582874772649200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.890000000000686 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.390000000000533 " " Order of pole (three term test) = 1.0000000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.400000000000688 " " y[1] (analytic) = -0.771436587022194 " " y[1] (numeric) = -0.7714365870227998 " " absolute error = 6.0584870453794790000000000000E-13 " " relative error = 7.85351271549838700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.900000000000688 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.400000000000777 " " Order of pole (three term test) = 0.9999999999999518 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.41000000000069 " " y[1] (analytic) = -0.7617269041503008 " " y[1] (numeric) = -0.7617269041509118 " " absolute error = 6.1106675275368620000000000000E-13 " " relative error = 8.02212380085649500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.91000000000069 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.410000000000604 " " Order of pole (three term test) = 1.0000000000001337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.42000000000069 " " y[1] (analytic) = -0.7520134348337884 " " y[1] (numeric) = -0.7520134348344047 " " absolute error = 6.1639582327188690000000000000E-13 " " relative error = 8.19660653280913800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.92000000000069 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.42000000000076 " " Order of pole (three term test) = 0.9999999999999347 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.430000000000692 " " y[1] (analytic) = -0.7422961805058392 " " y[1] (numeric) = -0.7422961805064523 " " absolute error = 6.1306515419801140000000000000E-13 " " relative error = 8.25903689522202500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.930000000000692 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.430000000001044 " " Order of pole (three term test) = 0.9999999999998006 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.440000000000694 " " y[1] (analytic) = -0.7325751425985274 " " y[1] (numeric) = -0.7325751425991436 " " absolute error = 6.1617377866696190000000000000E-13 " " relative error = 8.41106588030441900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.940000000000694 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.4400000000005 " " Order of pole (three term test) = 1.0000000000002476 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.450000000000696 " " y[1] (analytic) = -0.7228503225428717 " " y[1] (numeric) = -0.7228503225434845 " " absolute error = 6.1273208729062390000000000000E-13 " " relative error = 8.47661083051233200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.950000000000696 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.450000000000955 " " Order of pole (three term test) = 0.9999999999998872 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.460000000000697 " " y[1] (analytic) = -0.7131217217687826 " " y[1] (numeric) = -0.7131217217693988 " " absolute error = 6.1617377866696190000000000000E-13 " " relative error = 8.64051339143958300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.960000000000697 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.460000000000594 " " Order of pole (three term test) = 1.00000000000002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.4700000000007 " " y[1] (analytic) = -0.7033893417051083 " " y[1] (numeric) = -0.7033893417057296 " " absolute error = 6.2139182688270010000000000000E-13 " " relative error = 8.83425138880217600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.9700000000007 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.470000000000812 " " Order of pole (three term test) = 0.9999999999999379 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.4800000000007 " " y[1] (analytic) = -0.6936531837796203 " " y[1] (numeric) = -0.6936531837802403 " " absolute error = 6.2005955925314990000000000000E-13 " " relative error = 8.93904293604667400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.9800000000007 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.480000000000754 " " Order of pole (three term test) = 0.9999999999999682 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.490000000000702 " " y[1] (analytic) = -0.6839132494189926 " " y[1] (numeric) = -0.683913249419616 " " absolute error = 6.2339022832702540000000000000E-13 " " relative error = 9.11504827339748800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 25.990000000000702 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.490000000000784 " " Order of pole (three term test) = 0.9999999999998577 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.500000000000703 " " y[1] (analytic) = -0.6741695400488474 " " y[1] (numeric) = -0.6741695400494644 " " absolute error = 6.1695093478419950000000000000E-13 " " relative error = 9.15127276055067500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.000000000000703 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.500000000000703 " " Order of pole (three term test) = 0.9999999999999025 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.510000000000705 " " y[1] (analytic) = -0.6644220570936916 " " y[1] (numeric) = -0.6644220570943176 " " absolute error = 6.2594374128366330000000000000E-13 " " relative error = 9.42087539991763900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.010000000000705 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.510000000000538 " " Order of pole (three term test) = 1.0000000000001104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.520000000000707 " " y[1] (analytic) = -0.6546708019770016 " " y[1] (numeric) = -0.6546708019776328 " " absolute error = 6.312728118018640000000000000E-13 " " relative error = 9.64259914900008800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.020000000000707 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.520000000000884 " " Order of pole (three term test) = 0.9999999999999277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.530000000000708 " " y[1] (analytic) = -0.6449157761211666 " " y[1] (numeric) = -0.6449157761217938 " " absolute error = 6.2727600891321340000000000000E-13 " " relative error = 9.72647952087562200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.030000000000708 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.53000000000061 " " Order of pole (three term test) = 1.0000000000000757 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.54000000000071 " " y[1] (analytic) = -0.6351569809474817 " " y[1] (numeric) = -0.6351569809481121 " " absolute error = 6.3038463338216390000000000000E-13 " " relative error = 9.92486349503395400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.04000000000071 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.540000000000713 " " Order of pole (three term test) = 1.0000000000000249 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.55000000000071 " " y[1] (analytic) = -0.6253944178761977 " " y[1] (numeric) = -0.625394417876828 " " absolute error = 6.3038463338216390000000000000E-13 " " relative error = 1.00797930931797050000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.05000000000071 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.55000000000062 " " Order of pole (three term test) = 1.0000000000000615 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.560000000000713 " " y[1] (analytic) = -0.6156280883264778 " " y[1] (numeric) = -0.6156280883271121 " " absolute error = 6.3438143627081440000000000000E-13 " " relative error = 1.03046213826161790000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.060000000000713 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.56000000000062 " " Order of pole (three term test) = 1.0000000000001017 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.570000000000714 " " y[1] (analytic) = -0.6058579937164268 " " y[1] (numeric) = -0.6058579937170664 " " absolute error = 6.3959948448655270000000000000E-13 " " relative error = 1.05569207820986290000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.070000000000714 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.570000000000718 " " Order of pole (three term test) = 1.000000000000089 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.580000000000716 " " y[1] (analytic) = -0.5960841354630908 " " y[1] (numeric) = -0.5960841354637251 " " absolute error = 6.3427041396835190000000000000E-13 " " relative error = 1.06406189367142720000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.080000000000716 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.580000000000602 " " Order of pole (three term test) = 1.0000000000001295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.590000000000718 " " y[1] (analytic) = -0.586306514982418 " " y[1] (numeric) = -0.5863065149830565 " " absolute error = 6.3848926146192750000000000000E-13 " " relative error = 1.08900250150055780000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.090000000000718 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.590000000000863 " " Order of pole (three term test) = 0.9999999999998593 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.60000000000072 " " y[1] (analytic) = -0.57652513368933 " " y[1] (numeric) = -0.5765251336899638 " " absolute error = 6.3382632475850190000000000000E-13 " " relative error = 1.09939062101679270000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.10000000000072 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.600000000000453 " " Order of pole (three term test) = 1.000000000000337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.61000000000072 " " y[1] (analytic) = -0.5667399929976433 " " y[1] (numeric) = -0.5667399929982864 " " absolute error = 6.4304117586289070000000000000E-13 " " relative error = 1.13463172496733360000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.11000000000072 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.610000000000646 " " Order of pole (three term test) = 1.0000000000000875 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.620000000000722 " " y[1] (analytic) = -0.5569510943201514 " " y[1] (numeric) = -0.5569510943208008 " " absolute error = 6.4936944710325410000000000000E-13 " " relative error = 1.16593620826962220000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.120000000000722 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.62000000000056 " " Order of pole (three term test) = 1.0000000000001474 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.630000000000724 " " y[1] (analytic) = -0.547158439068582 " " y[1] (numeric) = -0.5471584390692223 " " absolute error = 6.4037664060379030000000000000E-13 " " relative error = 1.17036784024366330000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.130000000000724 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.63000000000081 " " Order of pole (three term test) = 0.9999999999998432 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.640000000000725 " " y[1] (analytic) = -0.5373620286535612 " " y[1] (numeric) = -0.537362028654206 " " absolute error = 6.4481753270229090000000000000E-13 " " relative error = 1.19996854693655050000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.140000000000725 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.640000000000715 " " Order of pole (three term test) = 1.0000000000000209 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.650000000000727 " " y[1] (analytic) = -0.5275618644847029 " " y[1] (numeric) = -0.5275618644853478 " " absolute error = 6.4492855500475340000000000000E-13 " " relative error = 1.2224700047921180000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.150000000000727 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.650000000000613 " " Order of pole (three term test) = 1.0000000000000355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.66000000000073 " " y[1] (analytic) = -0.5177579479705372 " " y[1] (numeric) = -0.5177579479711858 " " absolute error = 6.4859229098601650000000000000E-13 " " relative error = 1.25269403111688080000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.16000000000073 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.66000000000045 " " Order of pole (three term test) = 1.0000000000002192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.67000000000073 " " y[1] (analytic) = -0.5079502805185498 " " y[1] (numeric) = -0.5079502805192014 " " absolute error = 6.5158989315250440000000000000E-13 " " relative error = 1.28278281978172680000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.17000000000073 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.6700000000009 " " Order of pole (three term test) = 0.9999999999998362 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.68000000000073 " " y[1] (analytic) = -0.49813886353517134 " " y[1] (numeric) = -0.4981388635358206 " " absolute error = 6.4925842480079150000000000000E-13 " " relative error = 1.30336834229949680000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.18000000000073 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.68000000000066 " " Order of pole (three term test) = 0.9999999999999343 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.690000000000733 " " y[1] (analytic) = -0.48832369842576284 " " y[1] (numeric) = -0.488323698426415 " " absolute error = 6.521450046648170000000000000E-13 " " relative error = 1.33547687070517840000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.190000000000733 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.69000000000078 " " Order of pole (three term test) = 0.9999999999998986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.700000000000735 " " y[1] (analytic) = -0.47850478659465523 " " y[1] (numeric) = -0.4785047865953031 " " absolute error = 6.4787064602001010000000000000E-13 " " relative error = 1.3539480986818758000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.200000000000735 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.700000000000617 " " Order of pole (three term test) = 1.0000000000001161 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.710000000000736 " " y[1] (analytic) = -0.4686821294450958 " " y[1] (numeric) = -0.4686821294457516 " " absolute error = 6.55808740646080000000000000E-13 " " relative error = 1.39926124647111240000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.210000000000736 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.710000000000676 " " Order of pole (three term test) = 1.0000000000001013 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.720000000000738 " " y[1] (analytic) = -0.45885572837931576 " " y[1] (numeric) = -0.45885572837997635 " " absolute error = 6.6058269965196810000000000000E-13 " " relative error = 1.4396304955920558000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.220000000000738 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.720000000000663 " " Order of pole (three term test) = 0.999999999999934 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.73000000000074 " " y[1] (analytic) = -0.4490255847984841 " " y[1] (numeric) = -0.4490255847991437 " " absolute error = 6.5958349892980550000000000000E-13 " " relative error = 1.46892186383058000000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.23000000000074 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.730000000000842 " " Order of pole (three term test) = 0.9999999999998928 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.74000000000074 " " y[1] (analytic) = -0.43919170010270747 " " y[1] (numeric) = -0.4391917001033715 " " absolute error = 6.6402439102830610000000000000E-13 " " relative error = 1.51192381566641660000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.24000000000074 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.740000000000634 " " Order of pole (three term test) = 0.9999999999999467 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.750000000000743 " " y[1] (analytic) = -0.4293540756910694 " " y[1] (numeric) = -0.42935407569173056 " " absolute error = 6.6113781116428070000000000000E-13 " " relative error = 1.53984286768477170000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.250000000000743 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.750000000000654 " " Order of pole (three term test) = 1.0000000000001148 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.760000000000744 " " y[1] (analytic) = -0.4195127129615841 " " y[1] (numeric) = -0.41951271296224557 " " absolute error = 6.6147087807166830000000000000E-13 " " relative error = 1.57676003046954370000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.260000000000744 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.760000000000943 " " Order of pole (three term test) = 0.9999999999998093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.770000000000746 " " y[1] (analytic) = -0.40966761331122825 " " y[1] (numeric) = -0.40966761331189633 " " absolute error = 6.6807670506818800000000000000E-13 " " relative error = 1.63077744825448000000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.270000000000746 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.77000000000082 " " Order of pole (three term test) = 1.0000000000000127 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.780000000000747 " " y[1] (analytic) = -0.39981877813595545 " " y[1] (numeric) = -0.3998187781366189 " " absolute error = 6.6346927951599350000000000000E-13 " " relative error = 1.6594250090234272000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.280000000000747 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.78000000000082 " " Order of pole (three term test) = 0.9999999999998314 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.79000000000075 " " y[1] (analytic) = -0.38996620883063926 " " y[1] (numeric) = -0.38996620883130706 " " absolute error = 6.6779914931203170000000000000E-13 " " relative error = 1.71245388495200160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.29000000000075 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.790000000000536 " " Order of pole (three term test) = 1.0000000000001659 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.80000000000075 " " y[1] (analytic) = -0.3801099067891478 " " y[1] (numeric) = -0.38010990678981293 " " absolute error = 6.6513461405293130000000000000E-13 " " relative error = 1.74984814174256880000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.30000000000075 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.80000000000082 " " Order of pole (three term test) = 0.9999999999999531 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.810000000000752 " " y[1] (analytic) = -0.3702498734042763 " " y[1] (numeric) = -0.37024987340494864 " " absolute error = 6.7235106371299480000000000000E-13 " " relative error = 1.81593867279693540000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.310000000000752 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.81000000000069 " " Order of pole (three term test) = 1.0000000000000542 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.820000000000753 " " y[1] (analytic) = -0.3603861100678074 " " y[1] (numeric) = -0.3603861100684872 " " absolute error = 6.7978955797798330000000000000E-13 " " relative error = 1.8862812383365150000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.320000000000753 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.820000000000753 " " Order of pole (three term test) = 1.0000000000000313 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.830000000000755 " " y[1] (analytic) = -0.35051861817049 " " y[1] (numeric) = -0.35051861817116386 " " absolute error = 6.7384986479623880000000000000E-13 " " relative error = 1.92243672622400440000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.330000000000755 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.83000000000094 " " Order of pole (three term test) = 0.9999999999998263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.840000000000757 " " y[1] (analytic) = -0.34064739910200004 " " y[1] (numeric) = -0.34064739910267705 " " absolute error = 6.7701400041642050000000000000E-13 " " relative error = 1.98743334662508960000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.340000000000757 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.840000000000778 " " Order of pole (three term test) = 1.0000000000000147 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.850000000000758 " " y[1] (analytic) = -0.3307724542510151 " " y[1] (numeric) = -0.3307724542516898 " " absolute error = 6.7468253206470760000000000000E-13 " " relative error = 2.03971800974910580000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.350000000000758 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.850000000000637 " " Order of pole (three term test) = 1.0000000000001237 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.86000000000076 " " y[1] (analytic) = -0.32089378500515053 " " y[1] (numeric) = -0.32089378500583055 " " absolute error = 6.8001160258290840000000000000E-13 " " relative error = 2.11911739758996520000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.36000000000076 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.86000000000062 " " Order of pole (three term test) = 1.0000000000001505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.87000000000076 " " y[1] (analytic) = -0.31101139275101275 " " y[1] (numeric) = -0.31101139275169465 " " absolute error = 6.8189898172477110000000000000E-13 " " relative error = 2.19252090958185850000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.37000000000076 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.87000000000073 " " Order of pole (three term test) = 1.0000000000000422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.880000000000763 " " y[1] (analytic) = -0.3011252788741636 " " y[1] (numeric) = -0.3011252788748454 " " absolute error = 6.8178795942230860000000000000E-13 " " relative error = 2.2641339244959870000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.380000000000763 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.88000000000071 " " Order of pole (three term test) = 0.9999999999999949 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.890000000000764 " " y[1] (analytic) = -0.29123544475912766 " " y[1] (numeric) = -0.2912354447598151 " " absolute error = 6.8745009684789690000000000000E-13 " " relative error = 2.3604616444144252000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.390000000000764 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.890000000000704 " " Order of pole (three term test) = 1.0000000000000877 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.900000000000766 " " y[1] (analytic) = -0.2813418917894275 " " y[1] (numeric) = -0.28134189179010627 " " absolute error = 6.7879035725582070000000000000E-13 " " relative error = 2.41268853684920350000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.400000000000766 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.90000000000068 " " Order of pole (three term test) = 1.0000000000000693 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.910000000000768 " " y[1] (analytic) = -0.2714446213475057 " " y[1] (numeric) = -0.27144462134819286 " " absolute error = 6.8717254109174060000000000000E-13 " " relative error = 2.53153861616589760000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.410000000000768 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.910000000000895 " " Order of pole (three term test) = 0.9999999999998862 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.92000000000077 " " y[1] (analytic) = -0.2615436348148279 " " y[1] (numeric) = -0.26154363481552134 " " absolute error = 6.9344530118087280000000000000E-13 " " relative error = 2.65135606022998740000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.42000000000077 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.920000000000933 " " Order of pole (three term test) = 0.9999999999998769 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.93000000000077 " " y[1] (analytic) = -0.2516389335718223 " " y[1] (numeric) = -0.25163893357251177 " " absolute error = 6.8944849829222220000000000000E-13 " " relative error = 2.73983238009328560000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.43000000000077 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.930000000000945 " " Order of pole (three term test) = 0.9999999999998214 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.940000000000772 " " y[1] (analytic) = -0.24173051899786557 " " y[1] (numeric) = -0.24173051899855907 " " absolute error = 6.935008123321040000000000000E-13 " " relative error = 2.86890052280997840000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.440000000000772 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.940000000000868 " " Order of pole (three term test) = 0.99999999999995 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.950000000000774 " " y[1] (analytic) = -0.23181839247134306 " " y[1] (numeric) = -0.23181839247203415 " " absolute error = 6.9108607725354430000000000000E-13 " " relative error = 2.98115291839483800000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.450000000000774 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.950000000000983 " " Order of pole (three term test) = 0.9999999999997575 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.960000000000775 " " y[1] (analytic) = -0.22190255536959214 " " y[1] (numeric) = -0.22190255537028492 " " absolute error = 6.9277916736609770000000000000E-13 " " relative error = 3.121997248802440000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.460000000000775 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.960000000000583 " " Order of pole (three term test) = 1.0000000000001152 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.970000000000777 " " y[1] (analytic) = -0.21198300906894119 " " y[1] (numeric) = -0.21198300906963757 " " absolute error = 6.9638739219612940000000000000E-13 " " relative error = 3.28510947766408050000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.470000000000777 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.97000000000059 " " Order of pole (three term test) = 1.0000000000002325 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.98000000000078 " " y[1] (analytic) = -0.20205975494470252 " " y[1] (numeric) = -0.20205975494539768 " " absolute error = 6.9516614686904180000000000000E-13 " " relative error = 3.44039884171534860000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.48000000000078 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.980000000000643 " " Order of pole (three term test) = 1.0000000000000109 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 24.99000000000078 " " y[1] (analytic) = -0.19213279437115105 " " y[1] (numeric) = -0.19213279437185127 " " absolute error = 7.0021766163108620000000000000E-13 " " relative error = 3.6444463524454140000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.49000000000078 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 26.99000000000104 " " Order of pole (three term test) = 0.999999999999725 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.00000000000078 " " y[1] (analytic) = -0.1822021287215705 " " y[1] (numeric) = -0.18220212872226602 " " absolute error = 6.9552696935204490000000000000E-13 " " relative error = 3.81733722998870260000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.50000000000078 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.000000000000664 " " Order of pole (three term test) = 1.0000000000002094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.010000000000783 " " y[1] (analytic) = -0.1722677593681894 " " y[1] (numeric) = -0.1722677593688924 " " absolute error = 7.0302097476826480000000000000E-13 " " relative error = 4.08097822451902850000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.510000000000783 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.010000000000744 " " Order of pole (three term test) = 1.0000000000000386 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.020000000000785 " " y[1] (analytic) = -0.16232968768225575 " " y[1] (numeric) = -0.16232968768296474 " " absolute error = 7.089884235256250000000000000E-13 " " relative error = 4.36758324154112500000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.520000000000785 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.02000000000084 " " Order of pole (three term test) = 0.9999999999999756 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.030000000000786 " " y[1] (analytic) = -0.15238791503399796 " " y[1] (numeric) = -0.15238791503470242 " " absolute error = 7.0446426470027750000000000000E-13 " " relative error = 4.62283550859732300000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.530000000000786 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.030000000000875 " " Order of pole (three term test) = 0.9999999999998804 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.040000000000788 " " y[1] (analytic) = -0.14244244279259988 " " y[1] (numeric) = -0.14244244279331092 " " absolute error = 7.1104233612118150000000000000E-13 " " relative error = 4.9917870136254180000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.540000000000788 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.040000000001026 " " Order of pole (three term test) = 0.9999999999998339 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.05000000000079 " " y[1] (analytic) = -0.1324932723262755 " " y[1] (numeric) = -0.13249327232698305 " " absolute error = 7.0754513359361230000000000000E-13 " " relative error = 5.3402344222522080000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.55000000000079 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.050000000000765 " " Order of pole (three term test) = 1.0000000000000133 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.06000000000079 " " y[1] (analytic) = -0.12254040500219077 " " y[1] (numeric) = -0.1225404050029 " " absolute error = 7.0923822370616560000000000000E-13 " " relative error = 5.7877907592478250000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.56000000000079 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.060000000000855 " " Order of pole (three term test) = 0.9999999999999524 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.070000000000793 " " y[1] (analytic) = -0.11258384218651685 " " y[1] (numeric) = -0.11258384218723247 " " absolute error = 7.1562200609776030000000000000E-13 " " relative error = 6.3563473425626600000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.570000000000793 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.070000000000675 " " Order of pole (three term test) = 0.999999999999927 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.080000000000794 " " y[1] (analytic) = -0.10262358524443016 " " y[1] (numeric) = -0.1026235852451418 " " absolute error = 7.1163908099691750000000000000E-13 " " relative error = 6.9344593574851880000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.580000000000794 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.080000000000894 " " Order of pole (three term test) = 0.9999999999998699 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.090000000000796 " " y[1] (analytic) = -9.26596355400661800E-2 " " y[1] (numeric) = -9.26596355407810700E-2 " " absolute error = 7.1490036113175390000000000000E-13 " " relative error = 7.7153375033795570000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.590000000000796 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.090000000000853 " " Order of pole (three term test) = 0.9999999999998873 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.100000000000797 " " y[1] (analytic) = -8.26919944365869200E-2 " " y[1] (numeric) = -8.26919944372962900E-2 " " absolute error = 7.093631237964360000000000000E-13 " " relative error = 8.57837724957060000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.600000000000797 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.10000000000079 " " Order of pole (three term test) = 1.0000000000000357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.1100000000008 " " y[1] (analytic) = -7.27206632961063800E-2 " " y[1] (numeric) = -7.27206632968273800E-2 " " absolute error = 7.2100658776719230000000000000E-13 " " relative error = 9.9147416303310380000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.6100000000008 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.110000000000866 " " Order of pole (three term test) = 0.9999999999998398 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.1200000000008 " " y[1] (analytic) = -6.27456434797828400E-2 " " y[1] (numeric) = -6.27456434805094400E-2 " " absolute error = 7.2659933625374150000000000000E-13 " " relative error = 1.158007625641544000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.6200000000008 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.120000000000918 " " Order of pole (three term test) = 0.9999999999999906 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.130000000000802 " " y[1] (analytic) = -5.27669363477549800E-2 " " y[1] (numeric) = -5.276693634847371000E-2 " " absolute error = 7.1873756946061460000000000000E-13 " " relative error = 1.3620983502317624000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.630000000000802 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.130000000000848 " " Order of pole (three term test) = 0.999999999999945 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.140000000000803 " " y[1] (analytic) = -4.278454325912406400E-2 " " y[1] (numeric) = -4.27845432598488200E-2 " " absolute error = 7.2475359047530220000000000000E-13 " " relative error = 1.6939612656043582000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.640000000000803 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.140000000000988 " " Order of pole (three term test) = 0.9999999999998977 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.150000000000805 " " y[1] (analytic) = -3.27984655720392500E-2 " " y[1] (numeric) = -3.27984655727617700E-2 " " absolute error = 7.2251926663824410000000000000E-13 " " relative error = 2.2029056970707586000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.650000000000805 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.15000000000092 " " Order of pole (three term test) = 1.0000000000000264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.160000000000807 " " y[1] (analytic) = -2.280870464361228800E-2 " " y[1] (numeric) = -2.280870464433913700E-2 " " absolute error = 7.2684913643428220000000000000E-13 " " relative error = 3.186718175325403700000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.660000000000807 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.16000000000073 " " Order of pole (three term test) = 1.0000000000001055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.170000000000808 " " y[1] (analytic) = -1.281526182997794200E-2 " " y[1] (numeric) = -1.281526183070813300E-2 " " absolute error = 7.3019021384901350000000000000E-13 " " relative error = 5.6978173644562220000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.670000000000808 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.170000000000748 " " Order of pole (three term test) = 1.0000000000000107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.18000000000081 " " y[1] (analytic) = -2.818138486269106000E-3 " " y[1] (numeric) = -2.8181384869977130000E-3 " " absolute error = 7.2860641131544670000000000000E-13 " " relative error = 2.58541734150204370000000E-8 "%" Correct digits = 11 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.68000000000081 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.18000000000083 " " Order of pole (three term test) = 1.0000000000000937 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.19000000000081 " " y[1] (analytic) = 7.1826640333938490000E-3 " " y[1] (numeric) = 7.182664032660317000E-3 " " absolute error = 7.3353129126374480000000000000E-13 " " relative error = 1.021252404196256300000000E-8 "%" Correct digits = 11 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.69000000000081 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.19000000000085 " " Order of pole (three term test) = 0.999999999999984 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.200000000000813 " " y[1] (analytic) = 1.71871443758568900E-2 " " y[1] (numeric) = 1.718714437513020600E-2 " " absolute error = 7.2668260298058840000000000000E-13 " " relative error = 4.228058990424106700000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.700000000000813 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.200000000000887 " " Order of pole (three term test) = 0.9999999999999021 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.210000000000814 " " y[1] (analytic) = 2.719530118900692600E-2 " " y[1] (numeric) = 2.719530118827115400E-2 " " absolute error = 7.3577255399470690000000000000E-13 " " relative error = 2.705513532948574000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.710000000000814 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.2100000000009 " " Order of pole (three term test) = 0.9999999999999614 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.220000000000816 " " y[1] (analytic) = 3.720713312167589500E-2 " " y[1] (numeric) = 3.72071331209362100E-2 " " absolute error = 7.3968609015651050000000000000E-13 " " relative error = 1.9880222637352002000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.720000000000816 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.220000000000738 " " Order of pole (three term test) = 0.999999999999981 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.230000000000818 " " y[1] (analytic) = 4.72226388237082500E-2 " " y[1] (numeric) = 4.722263882297119700E-2 " " absolute error = 7.3705624936692970000000000000E-13 " " relative error = 1.560811228949977000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.730000000000818 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.230000000001038 " " Order of pole (three term test) = 0.999999999999887 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.24000000000082 " " y[1] (analytic) = 5.72418169459538700E-2 " " y[1] (numeric) = 5.72418169452135900E-2 " " absolute error = 7.4028283503224660000000000000E-13 " " relative error = 1.2932553062234226000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.74000000000082 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.240000000000826 " " Order of pole (three term test) = 0.9999999999999137 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.25000000000082 " " y[1] (analytic) = 6.72646661402289700E-2 " " y[1] (numeric) = 6.72646661394914500E-2 " " absolute error = 7.3752115525849150000000000000E-13 " " relative error = 1.0964466154057105000000000E-9 "%" Correct digits = 12 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.75000000000082 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.250000000000806 " " Order of pole (three term test) = 0.9999999999999747 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.260000000000822 " " y[1] (analytic) = 7.72911850593622800E-2 " " y[1] (numeric) = 7.72911850586223100E-2 " " absolute error = 7.3996364591266680000000000000E-13 " " relative error = 9.5737132940108160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.760000000000822 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.2600000000008 " " Order of pole (three term test) = 1.0000000000000064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.270000000000824 " " y[1] (analytic) = 8.73213723571595300E-2 " " y[1] (numeric) = 8.73213723564121300E-2 " " absolute error = 7.4740214017765540000000000000E-13 " " relative error = 8.5592120233824460000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.770000000000824 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.270000000000664 " " Order of pole (three term test) = 1.0000000000000664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.280000000000825 " " y[1] (analytic) = 9.73552266883999100E-2 " " y[1] (numeric) = 9.73552266876541500E-2 " " absolute error = 7.4576456121633330000000000000E-13 " " relative error = 7.6602416386257850000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.780000000000825 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.2800000000011 " " Order of pole (three term test) = 0.9999999999997543 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.290000000000827 " " y[1] (analytic) = 0.10739274670887511 " " y[1] (numeric) = 0.1073927467081278 " " absolute error = 7.4730499566300070000000000000E-13 " " relative error = 6.9586170254945360000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.790000000000827 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.29000000000082 " " Order of pole (three term test) = 0.9999999999999715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.30000000000083 " " y[1] (analytic) = 0.11743393107533961 " " y[1] (numeric) = 0.11743393107459772 " " absolute error = 7.418926584179530000000000000E-13 " " relative error = 6.317532348823379000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.80000000000083 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.30000000000081 " " Order of pole (three term test) = 1.0000000000001394 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.31000000000083 " " y[1] (analytic) = 0.12747877844556044 " " y[1] (numeric) = 0.12747877844481256 " " absolute error = 7.4787398496312110000000000000E-13 " " relative error = 5.8666547803680060000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.81000000000083 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.310000000000763 " " Order of pole (three term test) = 1.000000000000135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.32000000000083 " " y[1] (analytic) = 0.13752728747826026 " " y[1] (numeric) = 0.13752728747750395 " " absolute error = 7.5631167995027230000000000000E-13 " " relative error = 5.4993572098906320000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.82000000000083 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.320000000000874 " " Order of pole (three term test) = 0.9999999999999944 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.330000000000833 " " y[1] (analytic) = 0.14757945683313878 " " y[1] (numeric) = 0.14757945683238544 " " absolute error = 7.5334183335940000000000000E-13 " " relative error = 5.104652432832629000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.830000000000833 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.33000000000096 " " Order of pole (three term test) = 0.9999999999999657 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.340000000000835 " " y[1] (analytic) = 0.1576352851709082 " " y[1] (numeric) = 0.15763528517015135 " " absolute error = 7.5683903588696920000000000000E-13 " " relative error = 4.8012032018491557000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.840000000000835 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.340000000000867 " " Order of pole (three term test) = 1.000000000000066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.350000000000836 " " y[1] (analytic) = 0.16769477115323284 " " y[1] (numeric) = 0.16769477115247577 " " absolute error = 7.5706108049189420000000000000E-13 " " relative error = 4.51451810504050750000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.850000000000836 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.350000000001035 " " Order of pole (three term test) = 0.9999999999998888 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.360000000000838 " " y[1] (analytic) = 0.17775791344276826 " " y[1] (numeric) = 0.17775791344201144 " " absolute error = 7.5681128031135360000000000000E-13 " " relative error = 4.2575391759142134000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.860000000000838 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.360000000000813 " " Order of pole (three term test) = 1.0000000000000628 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.37000000000084 " " y[1] (analytic) = 0.18782471070315054 " " y[1] (numeric) = 0.18782471070238874 " " absolute error = 7.6180728392216680000000000000E-13 " " relative error = 4.0559481288176870000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.87000000000084 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.37000000000084 " " Order of pole (three term test) = 0.9999999999999896 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.38000000000084 " " y[1] (analytic) = 0.19789516159897147 " " y[1] (numeric) = 0.19789516159821452 " " absolute error = 7.5695005818943170000000000000E-13 " " relative error = 3.82500538200811650000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.88000000000084 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.380000000000923 " " Order of pole (three term test) = 0.9999999999999865 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.390000000000843 " " y[1] (analytic) = 0.20796926479583533 " " y[1] (numeric) = 0.20796926479507108 " " absolute error = 7.6424977457634210000000000000E-13 " " relative error = 3.67482077376486750000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.890000000000843 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.390000000001017 " " Order of pole (three term test) = 0.9999999999998435 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.400000000000844 " " y[1] (analytic) = 0.21804701896027368 " " y[1] (numeric) = 0.21804701895951514 " " absolute error = 7.5853212599952260000000000000E-13 " " relative error = 3.47875485579429400000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.900000000000844 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.400000000000897 " " Order of pole (three term test) = 0.999999999999985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.410000000000846 " " y[1] (analytic) = 0.22812842275984124 " " y[1] (numeric) = 0.22812842275907672 " " absolute error = 7.6452733033249840000000000000E-13 " " relative error = 3.3513023983747220000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.910000000000846 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.41000000000089 " " Order of pole (three term test) = 0.9999999999999383 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.420000000000847 " " y[1] (analytic) = 0.23821347486302713 " " y[1] (numeric) = 0.23821347486225808 " " absolute error = 7.6905148915784590000000000000E-13 " " relative error = 3.2284130425453506000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.920000000000847 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.420000000000872 " " Order of pole (three term test) = 0.9999999999999573 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.43000000000085 " " y[1] (analytic) = 0.24830217393930099 " " y[1] (numeric) = 0.24830217393853268 " " absolute error = 7.683020886162240000000000000E-13 " " relative error = 3.09422215853833060000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.93000000000085 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.430000000000806 " " Order of pole (three term test) = 1.0000000000000169 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.44000000000085 " " y[1] (analytic) = 0.258394518659113 " " y[1] (numeric) = 0.2583945186583441 " " absolute error = 7.6888495570415220000000000000E-13 " " relative error = 2.975624094869070000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.94000000000085 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.440000000001138 " " Order of pole (three term test) = 0.99999999999983 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.450000000000852 " " y[1] (analytic) = 0.2684905076938726 " " y[1] (numeric) = 0.268490507693105 " " absolute error = 7.6760819922583320000000000000E-13 " " relative error = 2.8589770484588023000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.950000000000852 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.45000000000102 " " Order of pole (three term test) = 0.9999999999999677 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.460000000000854 " " y[1] (analytic) = 0.27859013971596625 " " y[1] (numeric) = 0.27859013971519603 " " absolute error = 7.7021722333370230000000000000E-13 " " relative error = 2.76469664044452400000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.960000000000854 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.46000000000099 " " Order of pole (three term test) = 0.9999999999997732 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.470000000000855 " " y[1] (analytic) = 0.2886934133987431 " " y[1] (numeric) = 0.2886934133979648 " " absolute error = 7.783218514134660000000000000E-13 " " relative error = 2.6960152718775350000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.970000000000855 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.47000000000099 " " Order of pole (three term test) = 1.000000000000054 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.480000000000857 " " y[1] (analytic) = 0.2988003274164974 " " y[1] (numeric) = 0.29880032741572476 " " absolute error = 7.7265971398787770000000000000E-13 " " relative error = 2.58587304996780730000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.980000000000857 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.480000000000928 " " Order of pole (three term test) = 0.9999999999999554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.490000000000858 " " y[1] (analytic) = 0.3089108804445324 " " y[1] (numeric) = 0.3089108804437543 " " absolute error = 7.780998068085410000000000000E-13 " " relative error = 2.51884882037444250000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 26.990000000000858 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.490000000000915 " " Order of pole (three term test) = 0.9999999999998888 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.50000000000086 " " y[1] (analytic) = 0.31902507115906786 " " y[1] (numeric) = 0.3190250711582955 " " absolute error = 7.7238215823172140000000000000E-13 " " relative error = 2.4210704049858420000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.00000000000086 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.500000000000814 " " Order of pole (three term test) = 1.000000000000139 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.51000000000086 " " y[1] (analytic) = 0.32914289823733256 " " y[1] (numeric) = 0.3291428982365532 " " absolute error = 7.7937656328685990000000000000E-13 " " relative error = 2.367897249069250000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.01000000000086 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.510000000000765 " " Order of pole (three term test) = 1.0000000000001665 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.520000000000863 " " y[1] (analytic) = 0.33926436035748253 " " y[1] (numeric) = 0.3392643603566939 " " absolute error = 7.8864692554248000000000000000E-13 " " relative error = 2.32457934783212530000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.020000000000863 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.52000000000115 " " Order of pole (three term test) = 0.9999999999998502 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.530000000000864 " " y[1] (analytic) = 0.34938945619862594 " " y[1] (numeric) = 0.3493894561978448 " " absolute error = 7.8115292012626010000000000000E-13 " " relative error = 2.23576557983529740000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.030000000000864 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.530000000000843 " " Order of pole (three term test) = 0.9999999999999902 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.540000000000866 " " y[1] (analytic) = 0.3595181844408799 " " y[1] (numeric) = 0.35951818444009265 " " absolute error = 7.8725914676169850000000000000E-13 " " relative error = 2.18976168892830360000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.040000000000866 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.540000000001083 " " Order of pole (three term test) = 0.9999999999999747 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.550000000000868 " " y[1] (analytic) = 0.3696505437652675 " " y[1] (numeric) = 0.36965054376448275 " " absolute error = 7.8476114495629190000000000000E-13 " " relative error = 2.12298117287397950000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.050000000000868 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.550000000001102 " " Order of pole (three term test) = 0.9999999999996679 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.56000000000087 " " y[1] (analytic) = 0.3797865328538066 " " y[1] (numeric) = 0.3797865328530179 " " absolute error = 7.8870243669371120000000000000E-13 " " relative error = 2.07669932571650950000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.06000000000087 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.560000000000855 " " Order of pole (three term test) = 0.99999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.57000000000087 " " y[1] (analytic) = 0.3899261503894458 " " y[1] (numeric) = 0.38992615038865736 " " absolute error = 7.8842488093755490000000000000E-13 " " relative error = 2.02198513782699980000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.07000000000087 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.57000000000114 " " Order of pole (three term test) = 0.9999999999998593 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.580000000000872 " " y[1] (analytic) = 0.40006939505610717 " " y[1] (numeric) = 0.40006939505531575 " " absolute error = 7.9142248310404280000000000000E-13 " " relative error = 1.9782130122526640000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.080000000000872 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.58000000000078 " " Order of pole (three term test) = 1.0000000000001554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.590000000000874 " " y[1] (analytic) = 0.41021626553865786 " " y[1] (numeric) = 0.41021626553786217 " " absolute error = 7.9569684174884970000000000000E-13 " " relative error = 1.93970085682491050000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.090000000000874 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.59000000000098 " " Order of pole (three term test) = 1.000000000000036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.600000000000875 " " y[1] (analytic) = 0.42036676052291 " " y[1] (numeric) = 0.42036676052211897 " " absolute error = 7.910339050454240000000000000E-13 " " relative error = 1.88177082331968230000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.100000000000875 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.600000000001078 " " Order of pole (three term test) = 0.9999999999997943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.610000000000877 " " y[1] (analytic) = 0.4305208786956598 " " y[1] (numeric) = 0.43052087869486083 " " absolute error = 7.9897199967149390000000000000E-13 " " relative error = 1.85582637035426200000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.110000000000877 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.61000000000077 " " Order of pole (three term test) = 0.9999999999999556 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.62000000000088 " " y[1] (analytic) = 0.44067861874461656 " " y[1] (numeric) = 0.4406786187438137 " " absolute error = 8.028577802576820000000000000E-13 " " relative error = 1.82186688009693650000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.12000000000088 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.62000000000077 " " Order of pole (three term test) = 1.0000000000000913 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.63000000000088 " " y[1] (analytic) = 0.4508399793584488 " " y[1] (numeric) = 0.4508399793576538 " " absolute error = 7.9497519678284330000000000000E-13 " " relative error = 1.76332009843959160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.13000000000088 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.630000000000823 " " Order of pole (three term test) = 1.0000000000000646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.64000000000088 " " y[1] (analytic) = 0.46100495922680906 " " y[1] (numeric) = 0.4610049592260065 " " absolute error = 8.0258022450152570000000000000E-13 " " relative error = 1.7409362056486372000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.14000000000088 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.64000000000103 " " Order of pole (three term test) = 0.9999999999999357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.650000000000883 " " y[1] (analytic) = 0.4711735570402489 " " y[1] (numeric) = 0.47117355703944536 " " absolute error = 8.035239140724570000000000000E-13 " " relative error = 1.7053671668671722000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.150000000000883 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.650000000000745 " " Order of pole (three term test) = 1.000000000000035 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.660000000000885 " " y[1] (analytic) = 0.4813457714902931 " " y[1] (numeric) = 0.4813457714894911 " " absolute error = 8.0202511298921310000000000000E-13 " " relative error = 1.66621410323407580000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.160000000000885 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.660000000001133 " " Order of pole (three term test) = 0.9999999999998131 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.670000000000886 " " y[1] (analytic) = 0.4915216012694188 " " y[1] (numeric) = 0.4915216012686105 " " absolute error = 8.0829787307834520000000000000E-13 " " relative error = 1.6444808752876990000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.170000000000886 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.670000000000925 " " Order of pole (three term test) = 1.0000000000000258 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.680000000000888 " " y[1] (analytic) = 0.5017010450710231 " " y[1] (numeric) = 0.5017010450702155 " " absolute error = 8.0757622811233890000000000000E-13 " " relative error = 1.6096761927175470000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.180000000000888 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.680000000001044 " " Order of pole (three term test) = 0.9999999999998391 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.69000000000089 " " y[1] (analytic) = 0.5118841015894731 " " y[1] (numeric) = 0.5118841015886622 " " absolute error = 8.1090689718621430000000000000E-13 " " relative error = 1.58416113074860670000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.19000000000089 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.690000000000897 " " Order of pole (three term test) = 1.0000000000000888 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.70000000000089 " " y[1] (analytic) = 0.5220707695200559 " " y[1] (numeric) = 0.5220707695192494 " " absolute error = 8.0657702739017620000000000000E-13 " " relative error = 1.54495726342171820000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.20000000000089 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.700000000001022 " " Order of pole (three term test) = 0.9999999999999818 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.710000000000893 " " y[1] (analytic) = 0.5322610475590288 " " y[1] (numeric) = 0.5322610475582182 " " absolute error = 8.1057383027882680000000000000E-13 " " relative error = 1.52288775215874220000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.210000000000893 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.710000000000846 " " Order of pole (three term test) = 1.0000000000000107 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.720000000000894 " " y[1] (analytic) = 0.542454934403569 " " y[1] (numeric) = 0.5424549344027508 " " absolute error = 8.1812334684627790000000000000E-13 " " relative error = 1.50818675425232750000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.220000000000894 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.72000000000107 " " Order of pole (three term test) = 0.9999999999998263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.730000000000896 " " y[1] (analytic) = 0.5526524287517809 " " y[1] (numeric) = 0.5526524287509692 " " absolute error = 8.1168405330345200000000000000E-13 " " relative error = 1.46870620859609560000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.230000000000896 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.730000000001073 " " Order of pole (three term test) = 0.9999999999999188 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.740000000000897 " " y[1] (analytic) = 0.5628535293027568 " " y[1] (numeric) = 0.5628535293019343 " " absolute error = 8.224532166423160000000000000E-13 " " relative error = 1.4612206796697930000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.240000000000897 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.74000000000097 " " Order of pole (three term test) = 0.9999999999999858 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.7500000000009 " " y[1] (analytic) = 0.5730582347564628 " " y[1] (numeric) = 0.5730582347556452 " " absolute error = 8.1756823533396530000000000000E-13 " " relative error = 1.42667566007739830000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.2500000000009 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.750000000000913 " " Order of pole (three term test) = 1.000000000000112 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.7600000000009 " " y[1] (analytic) = 0.5832665438138598 " " y[1] (numeric) = 0.5832665438130377 " " absolute error = 8.2212014973492840000000000000E-13 " " relative error = 1.4095102118480070000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.2600000000009 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.76000000000093 " " Order of pole (three term test) = 1.0000000000000084 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.770000000000902 " " y[1] (analytic) = 0.593478455176804 " " y[1] (numeric) = 0.5934784551759835 " " absolute error = 8.2045481519799070000000000000E-13 " " relative error = 1.38245088434350650000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.270000000000902 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.770000000001158 " " Order of pole (three term test) = 0.9999999999997573 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.780000000000904 " " y[1] (analytic) = 0.6036939675481143 " " y[1] (numeric) = 0.6036939675472895 " " absolute error = 8.2478468499402880000000000000E-13 " " relative error = 1.36622979411881150000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.280000000000904 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.780000000000904 " " Order of pole (three term test) = 1.0000000000000144 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.790000000000905 " " y[1] (analytic) = 0.6139130796315229 " " y[1] (numeric) = 0.6139130796306963 " " absolute error = 8.265610418334290000000000000E-13 " " relative error = 1.34638122114866780000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.290000000000905 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.79000000000066 " " Order of pole (three term test) = 1.0000000000000542 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.800000000000907 " " y[1] (analytic) = 0.6241357901316995 " " y[1] (numeric) = 0.6241357901308774 " " absolute error = 8.2212014973492840000000000000E-13 " " relative error = 1.3172135979599120000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.300000000000907 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.800000000000967 " " Order of pole (three term test) = 0.9999999999999346 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.810000000000908 " " y[1] (analytic) = 0.6343620977542663 " " y[1] (numeric) = 0.6343620977534382 " " absolute error = 8.2811535406790430000000000000E-13 " " relative error = 1.30543006431114400000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.310000000000908 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.81000000000098 " " Order of pole (three term test) = 0.9999999999999425 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.82000000000091 " " y[1] (analytic) = 0.6445920012057478 " " y[1] (numeric) = 0.6445920012049151 " " absolute error = 8.3266726846886740000000000000E-13 " " relative error = 1.29177412520061320000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.32000000000091 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.82000000000083 " " Order of pole (three term test) = 0.9999999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.83000000000091 " " y[1] (analytic) = 0.6548254991936062 " " y[1] (numeric) = 0.6548254991927742 " " absolute error = 8.3200113465409230000000000000E-13 " " relative error = 1.27056923665720330000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.33000000000091 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.83000000000085 " " Order of pole (three term test) = 0.9999999999999506 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.840000000000913 " " y[1] (analytic) = 0.6650625904262419 " " y[1] (numeric) = 0.6650625904254106 " " absolute error = 8.3133500083931720000000000000E-13 " " relative error = 1.25001016867677120000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.340000000000913 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.84000000000109 " " Order of pole (three term test) = 0.9999999999999322 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.850000000000914 " " y[1] (analytic) = 0.6753032736129789 " " y[1] (numeric) = 0.6753032736121473 " " absolute error = 8.3166806774670480000000000000E-13 " " relative error = 1.23154751390016140000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.350000000000914 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.850000000000733 " " Order of pole (three term test) = 1.0000000000001148 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.860000000000916 " " y[1] (analytic) = 0.6855475474640684 " " y[1] (numeric) = 0.6855475474632339 " " absolute error = 8.3455464761073020000000000000E-13 " " relative error = 1.21735487304689330000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.360000000000916 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.860000000001072 " " Order of pole (three term test) = 0.9999999999997891 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.870000000000918 " " y[1] (analytic) = 0.6957954106906854 " " y[1] (numeric) = 0.6957954106898463 " " absolute error = 8.3910656201169330000000000000E-13 " " relative error = 1.20596737075162540000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.370000000000918 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.870000000001024 " " Order of pole (three term test) = 0.9999999999998596 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.88000000000092 " " y[1] (analytic) = 0.706046862004925 " " y[1] (numeric) = 0.7060468620040851 " " absolute error = 8.3988371812893090000000000000E-13 " " relative error = 1.18955803548783750000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.38000000000092 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.880000000000948 " " Order of pole (three term test) = 1.0000000000000024 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.89000000000092 " " y[1] (analytic) = 0.7163019001198165 " " y[1] (numeric) = 0.7163019001189745 " " absolute error = 8.4199314187571870000000000000E-13 " " relative error = 1.17547243939305140000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.39000000000092 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.890000000001077 " " Order of pole (three term test) = 0.9999999999999424 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.900000000000922 " " y[1] (analytic) = 0.7265605237492991 " " y[1] (numeric) = 0.7265605237484623 " " absolute error = 8.368861159624430000000000000E-13 " " relative error = 1.15184638940170640000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.400000000000922 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.900000000000965 " " Order of pole (three term test) = 0.9999999999999893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.910000000000924 " " y[1] (analytic) = 0.7368227316082638 " " y[1] (numeric) = 0.7368227316074174 " " absolute error = 8.4643403397421930000000000000E-13 " " relative error = 1.14876210744300310000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.410000000000924 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.910000000001126 " " Order of pole (three term test) = 0.9999999999999454 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.920000000000925 " " y[1] (analytic) = 0.7470885224124828 " " y[1] (numeric) = 0.7470885224116302 " " absolute error = 8.5265128291212020000000000000E-13 " " relative error = 1.1412988653054880000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.420000000000925 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.92000000000099 " " Order of pole (three term test) = 0.9999999999999544 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.930000000000927 " " y[1] (analytic) = 0.757357894878659 " " y[1] (numeric) = 0.7573578948778106 " " absolute error = 8.4843243541854460000000000000E-13 " " relative error = 1.12025297571431180000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.430000000000927 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.93000000000123 " " Order of pole (three term test) = 0.9999999999998308 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.94000000000093 " " y[1] (analytic) = 0.7676308477244405 " " y[1] (numeric) = 0.7676308477235877 " " absolute error = 8.5276230521458270000000000000E-13 " " relative error = 1.11090155866261160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.44000000000093 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.94000000000101 " " Order of pole (three term test) = 0.9999999999998858 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.95000000000093 " " y[1] (analytic) = 0.7779073796683598 " " y[1] (numeric) = 0.7779073796675086 " " absolute error = 8.5120799298010750000000000000E-13 " " relative error = 1.09422794438972630000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.45000000000093 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.950000000000788 " " Order of pole (three term test) = 1.00000000000007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.96000000000093 " " y[1] (analytic) = 0.7881874894298875 " " y[1] (numeric) = 0.788187489429037 " " absolute error = 8.5043083686286990000000000000E-13 " " relative error = 1.078970230139030000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.46000000000093 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.960000000000942 " " Order of pole (three term test) = 1.0000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.970000000000933 " " y[1] (analytic) = 0.7984711757294107 " " y[1] (numeric) = 0.7984711757285531 " " absolute error = 8.5764728652293340000000000000E-13 " " relative error = 1.07411176832960160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.470000000000933 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.970000000001008 " " Order of pole (three term test) = 1.0000000000000533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.980000000000935 " " y[1] (analytic) = 0.8087584372882048 " " y[1] (numeric) = 0.8087584372873515 " " absolute error = 8.5331741672689530000000000000E-13 " " relative error = 1.055095535804360000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.480000000000935 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.98000000000092 " " Order of pole (three term test) = 0.9999999999999378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 25.990000000000936 " " y[1] (analytic) = 0.8190492728284973 " " y[1] (numeric) = 0.8190492728276414 " " absolute error = 8.5587092968353320000000000000E-13 " " relative error = 1.04495658329306160000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.490000000000936 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 27.99000000000086 " " Order of pole (three term test) = 1.0000000000000022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.000000000000938 " " y[1] (analytic) = 0.8293436810734001 " " y[1] (numeric) = 0.8293436810725446 " " absolute error = 8.5542684047368310000000000000E-13 " " relative error = 1.03145036249209050000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.500000000000938 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.000000000001016 " " Order of pole (three term test) = 0.9999999999998878 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.01000000000094 " " y[1] (analytic) = 0.8396416607469561 " " y[1] (numeric) = 0.8396416607460951 " " absolute error = 8.6097795559680890000000000000E-13 " " relative error = 1.02541119128232840000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.51000000000094 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.010000000001085 " " Order of pole (three term test) = 0.9999999999999591 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.02000000000094 " " y[1] (analytic) = 0.8499432105741036 " " y[1] (numeric) = 0.8499432105732382 " " absolute error = 8.6541884769530950000000000000E-13 " " relative error = 1.01820784839348590000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.52000000000094 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.02000000000107 " " Order of pole (three term test) = 0.9999999999998985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.030000000000943 " " y[1] (analytic) = 0.8602483292806902 " " y[1] (numeric) = 0.8602483292798289 " " absolute error = 8.6131102250419640000000000000E-13 " " relative error = 1.00123533308619710000000000E-10 "%" Correct digits = 13 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.530000000000943 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.03000000000088 " " Order of pole (three term test) = 1.000000000000079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.040000000000944 " " y[1] (analytic) = 0.8705570155935014 " " y[1] (numeric) = 0.8705570155926314 " " absolute error = 8.6997076209627270000000000000E-13 " " relative error = 9.99326576563363900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.540000000000944 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.040000000001097 " " Order of pole (three term test) = 0.99999999999991 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.050000000000946 " " y[1] (analytic) = 0.8808692682401826 " " y[1] (numeric) = 0.8808692682393184 " " absolute error = 8.6419760236822190000000000000E-13 " " relative error = 9.81073620714152300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.550000000000946 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.05000000000101 " " Order of pole (three term test) = 0.9999999999999847 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.060000000000947 " " y[1] (analytic) = 0.8911850859493384 " " y[1] (numeric) = 0.8911850859484696 " " absolute error = 8.6886053907164750000000000000E-13 " " relative error = 9.74949595510892400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.560000000000947 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.060000000000926 " " Order of pole (three term test) = 0.9999999999998841 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.07000000000095 " " y[1] (analytic) = 0.9015044674504438 " " y[1] (numeric) = 0.9015044674495707 " " absolute error = 8.7307938656522310000000000000E-13 " " relative error = 9.68469284499931600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.57000000000095 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.07000000000096 " " Order of pole (three term test) = 1.000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.08000000000095 " " y[1] (analytic) = 0.9118274114738831 " " y[1] (numeric) = 0.9118274114730129 " " absolute error = 8.7019280670119770000000000000E-13 " " relative error = 9.54339380184472600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.58000000000095 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.08000000000094 " " Order of pole (three term test) = 0.9999999999999123 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.090000000000952 " " y[1] (analytic) = 0.9221539167509647 " " y[1] (numeric) = 0.9221539167500917 " " absolute error = 8.7296836426276060000000000000E-13 " " relative error = 9.46662317868257700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.590000000000952 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.090000000000963 " " Order of pole (three term test) = 0.9999999999999643 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.100000000000954 " " y[1] (analytic) = 0.9324839820138777 " " y[1] (numeric) = 0.9324839820130058 " " absolute error = 8.7196916354059800000000000000E-13 " " relative error = 9.35103637552479600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.600000000000954 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.100000000000943 " " Order of pole (three term test) = 0.9999999999999373 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.110000000000955 " " y[1] (analytic) = 0.9428176059957352 " " y[1] (numeric) = 0.9428176059948561 " " absolute error = 8.7907459089819900000000000000E-13 " " relative error = 9.32390936813048400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.610000000000955 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.11000000000105 " " Order of pole (three term test) = 0.9999999999999583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.120000000000957 " " y[1] (analytic) = 0.9531547874305311 " " y[1] (numeric) = 0.9531547874296452 " " absolute error = 8.8584695134841240000000000000E-13 " " relative error = 9.29384149385050200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.620000000000957 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.12000000000069 " " Order of pole (three term test) = 1.0000000000001847 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.13000000000096 " " y[1] (analytic) = 0.9634955250531547 " " y[1] (numeric) = 0.9634955250522761 " " absolute error = 8.7863050168834890000000000000E-13 " " relative error = 9.11919649694144900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.63000000000096 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.130000000000976 " " Order of pole (three term test) = 0.9999999999999317 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.14000000000096 " " y[1] (analytic) = 0.9738398175994334 " " y[1] (numeric) = 0.973839817598551 " " absolute error = 8.8240525997207440000000000000E-13 " " relative error = 9.06109243044970100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.64000000000096 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.140000000001187 " " Order of pole (three term test) = 0.9999999999998017 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.15000000000096 " " y[1] (analytic) = 0.984187663806054 " " y[1] (numeric) = 0.9841876638051708 " " absolute error = 8.8329343839177450000000000000E-13 " " relative error = 8.97484769292777900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.65000000000096 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.15000000000089 " " Order of pole (three term test) = 1.0000000000000264 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.160000000000963 " " y[1] (analytic) = 0.9945390624106203 " " y[1] (numeric) = 0.9945390624097338 " " absolute error = 8.8651308516318750000000000000E-13 " " relative error = 8.91380860410255400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.660000000000963 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.160000000000895 " " Order of pole (three term test) = 0.9999999999999918 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.170000000000964 " " y[1] (analytic) = 1.0048940121516203 " " y[1] (numeric) = 1.004894012150735 " " absolute error = 8.8529183983609980000000000000E-13 " " relative error = 8.80980311486347400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.670000000000964 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.170000000000982 " " Order of pole (three term test) = 0.9999999999998511 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.180000000000966 " " y[1] (analytic) = 1.0152525117684519 " " y[1] (numeric) = 1.0152525117675653 " " absolute error = 8.86624107465650000000000000E-13 " " relative error = 8.73304027508638100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.680000000000966 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.1800000000007 " " Order of pole (three term test) = 1.0000000000002598 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.190000000000968 " " y[1] (analytic) = 1.0256145600013973 " " y[1] (numeric) = 1.0256145600005098 " " absolute error = 8.8751228588535010000000000000E-13 " " relative error = 8.65346808146074800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.690000000000968 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.190000000001042 " " Order of pole (three term test) = 1.0000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.20000000000097 " " y[1] (analytic) = 1.0359801555916341 " " y[1] (numeric) = 1.0359801555907475 " " absolute error = 8.86624107465650000000000000E-13 " " relative error = 8.5583116885024800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.70000000000097 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.200000000000834 " " Order of pole (three term test) = 0.9999999999999948 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.21000000000097 " " y[1] (analytic) = 1.046349297281246 " " y[1] (numeric) = 1.0463492972803503 " " absolute error = 8.9572793626757630000000000000E-13 " " relative error = 8.56050592851705700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.71000000000097 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.21000000000109 " " Order of pole (three term test) = 0.9999999999999778 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.220000000000972 " " y[1] (analytic) = 1.0567219838131834 " " y[1] (numeric) = 1.0567219838122819 " " absolute error = 9.0150109599562710000000000000E-13 " " relative error = 8.53110950472099200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.720000000000972 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.22000000000117 " " Order of pole (three term test) = 0.9999999999999174 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.230000000000974 " " y[1] (analytic) = 1.067098213931292 " " y[1] (numeric) = 1.0670982139303968 " " absolute error = 8.9506180245280120000000000000E-13 " " relative error = 8.38781089470019700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.730000000000974 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.23000000000098 " " Order of pole (three term test) = 1.0000000000000793 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.240000000000975 " " y[1] (analytic) = 1.0774779863803374 " " y[1] (numeric) = 1.0774779863794395 " " absolute error = 8.9794838231682660000000000000E-13 " " relative error = 8.33379793988534500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.740000000000975 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.24000000000107 " " Order of pole (three term test) = 0.999999999999971 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.250000000000977 " " y[1] (analytic) = 1.087861299905942 " " y[1] (numeric) = 1.0878612999050434 " " absolute error = 8.9861451613160170000000000000E-13 " " relative error = 8.26037764381633100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.750000000000977 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.250000000001265 " " Order of pole (three term test) = 0.9999999999998098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.26000000000098 " " y[1] (analytic) = 1.0982481532546302 " " y[1] (numeric) = 1.09824815325373 " " absolute error = 9.0016882836607690000000000000E-13 " " relative error = 8.19640648334759100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.76000000000098 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.260000000000915 " " Order of pole (three term test) = 1.0000000000000133 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.27000000000098 " " y[1] (analytic) = 1.108638545173811 " " y[1] (numeric) = 1.1086385451729082 " " absolute error = 9.0283336362517730000000000000E-13 " " relative error = 8.14362235153597500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.77000000000098 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.27000000000107 " " Order of pole (three term test) = 0.9999999999999537 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.28000000000098 " " y[1] (analytic) = 1.1190324744117746 " " y[1] (numeric) = 1.1190324744108724 " " absolute error = 9.0216722981040220000000000000E-13 " " relative error = 8.06202903347046500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.78000000000098 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.28000000000111 " " Order of pole (three term test) = 0.9999999999999079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.290000000000983 " " y[1] (analytic) = 1.1294299397177063 " " y[1] (numeric) = 1.1294299397168028 " " absolute error = 9.0349949743995240000000000000E-13 " " relative error = 7.99960640024981400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.790000000000983 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.29000000000108 " " Order of pole (three term test) = 0.9999999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.300000000000985 " " y[1] (analytic) = 1.1398309398416693 " " y[1] (numeric) = 1.1398309398407638 " " absolute error = 9.0549789888427770000000000000E-13 " " relative error = 7.94414212874461800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.800000000000985 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.30000000000116 " " Order of pole (three term test) = 0.9999999999997645 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.310000000000986 " " y[1] (analytic) = 1.150235473534611 " " y[1] (numeric) = 1.1502354735337028 " " absolute error = 9.081624341433780000000000000E-13 " " relative error = 7.8954479759926400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.810000000000986 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.31000000000102 " " Order of pole (three term test) = 1.0000000000000162 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.320000000000988 " " y[1] (analytic) = 1.1606435395483672 " " y[1] (numeric) = 1.1606435395474501 " " absolute error = 9.1704421834037930000000000000E-13 " " relative error = 7.90117023093259200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.820000000000988 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.320000000000995 " " Order of pole (three term test) = 1.000000000000049 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.33000000000099 " " y[1] (analytic) = 1.1710551366356263 " " y[1] (numeric) = 1.171055136634717 " " absolute error = 9.0927265716800320000000000000E-13 " " relative error = 7.76455888985971200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.83000000000099 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.33000000000081 " " Order of pole (three term test) = 1.000000000000085 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.34000000000099 " " y[1] (analytic) = 1.1814702635500112 " " y[1] (numeric) = 1.1814702635490957 " " absolute error = 9.154899061059041000000000000E-13 " " relative error = 7.74873421998023800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.84000000000099 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.340000000001105 " " Order of pole (three term test) = 0.9999999999998473 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.350000000000993 " " y[1] (analytic) = 1.1918889190459723 " " y[1] (numeric) = 1.191888919045058 " " absolute error = 9.143796830812789000000000000E-13 " " relative error = 7.67168541019056500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.850000000000993 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.350000000001106 " " Order of pole (three term test) = 0.9999999999999357 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.360000000000994 " " y[1] (analytic) = 1.2023111018788732 " " y[1] (numeric) = 1.202311101877954 " " absolute error = 9.1926466438962960000000000000E-13 " " relative error = 7.6458136579881710000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.860000000000994 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.36000000000116 " " Order of pole (three term test) = 0.9999999999999851 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.370000000000996 " " y[1] (analytic) = 1.212736810804934 " " y[1] (numeric) = 1.212736810804012 " " absolute error = 9.21929199648730000000000000E-13 " " relative error = 7.60205504965924900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.870000000000996 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.37000000000147 " " Order of pole (three term test) = 0.9999999999996325 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.380000000000997 " " y[1] (analytic) = 1.2231660445812516 " " y[1] (numeric) = 1.2231660445803367 " " absolute error = 9.148237722911290000000000000E-13 " " relative error = 7.47914623974308400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.880000000000997 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.380000000000756 " " Order of pole (three term test) = 1.0000000000000497 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.390000000001 " " y[1] (analytic) = 1.2335988019658295 " " y[1] (numeric) = 1.2335988019649091 " " absolute error = 9.2037488741425480000000000000E-13 " " relative error = 7.46089316840751100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.890000000001 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.39000000000122 " " Order of pole (three term test) = 0.9999999999997947 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.400000000001 " " y[1] (analytic) = 1.2440350817175023 " " y[1] (numeric) = 1.244035081716585 " " absolute error = 9.1726626294530430000000000000E-13 " " relative error = 7.3733150811063600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.900000000001 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.400000000000897 " " Order of pole (three term test) = 1.0000000000001101 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.410000000001002 " " y[1] (analytic) = 1.2544748825960177 " " y[1] (numeric) = 1.2544748825950942 " " absolute error = 9.2348351188320520000000000000E-13 " " relative error = 7.36151456434219800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.910000000001002 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.410000000001155 " " Order of pole (three term test) = 0.9999999999999863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.420000000001004 " " y[1] (analytic) = 1.264918203361976 " " y[1] (numeric) = 1.2649182033610398 " " absolute error = 9.361400543639320000000000000E-13 " " relative error = 7.40079518087258500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.920000000001004 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.420000000000986 " " Order of pole (three term test) = 1.000000000000031 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.430000000001005 " " y[1] (analytic) = 1.2753650427768264 " " y[1] (numeric) = 1.2753650427758967 " " absolute error = 9.297007608211061000000000000E-13 " " relative error = 7.28968357794163400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.930000000001005 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.430000000001247 " " Order of pole (three term test) = 0.9999999999998399 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.440000000001007 " " y[1] (analytic) = 1.2858153996029387 " " y[1] (numeric) = 1.2858153996020116 " " absolute error = 9.2703622556200570000000000000E-13 " " relative error = 7.20971475258637900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.940000000001007 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.44000000000124 " " Order of pole (three term test) = 0.9999999999997813 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.45000000000101 " " y[1] (analytic) = 1.296269272603535 " " y[1] (numeric) = 1.2962692726026013 " " absolute error = 9.3369756370975670000000000000E-13 " " relative error = 7.20295993620554400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.95000000000101 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.450000000000927 " " Order of pole (three term test) = 0.9999999999999925 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.46000000000101 " " y[1] (analytic) = 1.3067266605426866 " " y[1] (numeric) = 1.3067266605417518 " " absolute error = 9.3480778673438180000000000000E-13 " " relative error = 7.15381276713336500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.96000000000101 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.46000000000078 " " Order of pole (three term test) = 1.000000000000181 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.47000000000101 " " y[1] (analytic) = 1.317187562185353 " " y[1] (numeric) = 1.317187562184418 " " absolute error = 9.3502983133930680000000000000E-13 " " relative error = 7.09868403090592300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.97000000000101 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.470000000001004 " " Order of pole (three term test) = 0.9999999999999283 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.480000000001013 " " y[1] (analytic) = 1.3276519762973535 " " y[1] (numeric) = 1.3276519762964225 " " absolute error = 9.3103302845065630000000000000E-13 " " relative error = 7.01262864871549200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.980000000001013 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.480000000001223 " " Order of pole (three term test) = 0.9999999999998429 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.490000000001015 " " y[1] (analytic) = 1.338119901645392 " " y[1] (numeric) = 1.338119901644454 " " absolute error = 9.3791641120333220000000000000E-13 " " relative error = 7.0092105352445800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 27.990000000001015 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.4900000000012 " " Order of pole (three term test) = 0.9999999999998634 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.500000000001016 " " y[1] (analytic) = 1.3485913369970035 " " y[1] (numeric) = 1.3485913369960678 " " absolute error = 9.356959651540819000000000000E-13 " " relative error = 6.93832104273824800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.000000000001016 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.50000000000115 " " Order of pole (three term test) = 0.9999999999999829 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.510000000001018 " " y[1] (analytic) = 1.3590662811206258 " " y[1] (numeric) = 1.3590662811196834 " " absolute error = 9.4235730330183290000000000000E-13 " " relative error = 6.93385831428918100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.010000000001018 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.510000000001224 " " Order of pole (three term test) = 0.9999999999997108 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.52000000000102 " " y[1] (analytic) = 1.3695447327855348 " " y[1] (numeric) = 1.3695447327845844 " " absolute error = 9.503509090791340000000000000E-13 " " relative error = 6.93917391910378000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.02000000000102 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.520000000001012 " " Order of pole (three term test) = 1.0000000000000755 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.53000000000102 " " y[1] (analytic) = 1.3800266907618592 " " y[1] (numeric) = 1.3800266907609178 " " absolute error = 9.4146912488213270000000000000E-13 " " relative error = 6.8221080880862110000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.03000000000102 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.53000000000107 " " Order of pole (three term test) = 0.999999999999982 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.540000000001022 " " y[1] (analytic) = 1.3905121538206373 " " y[1] (numeric) = 1.3905121538196923 " " absolute error = 9.4502183856093320000000000000E-13 " " relative error = 6.79621415723944900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.040000000001022 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.540000000001122 " " Order of pole (three term test) = 0.9999999999999234 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.550000000001024 " " y[1] (analytic) = 1.4010011207337243 " " y[1] (numeric) = 1.4010011207327782 " " absolute error = 9.4613206158555840000000000000E-13 " " relative error = 6.75325699304262900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.050000000001024 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.550000000001297 " " Order of pole (three term test) = 0.9999999999998914 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.560000000001025 " " y[1] (analytic) = 1.4114935902738566 " " y[1] (numeric) = 1.411493590272906 " " absolute error = 9.505729536840590000000000000E-13 " " relative error = 6.73451838700613400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.060000000001025 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.56000000000093 " " Order of pole (three term test) = 1.000000000000034 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.570000000001027 " " y[1] (analytic) = 1.421989561214616 " " y[1] (numeric) = 1.4219895612136655 " " absolute error = 9.505729536840590000000000000E-13 " " relative error = 6.68480964707020300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.070000000001027 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.57000000000067 " " Order of pole (three term test) = 1.0000000000001195 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.58000000000103 " " y[1] (analytic) = 1.4324890323304587 " " y[1] (numeric) = 1.4324890323295052 " " absolute error = 9.5345953354808440000000000000E-13 " " relative error = 6.65596393430628600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.08000000000103 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.58000000000099 " " Order of pole (three term test) = 1.0000000000000322 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.59000000000103 " " y[1] (analytic) = 1.4429920023966858 " " y[1] (numeric) = 1.4429920023957312 " " absolute error = 9.5456975657270960000000000000E-13 " " relative error = 6.61521169200696400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.09000000000103 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.59000000000099 " " Order of pole (three term test) = 1.000000000000003 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.60000000000103 " " y[1] (analytic) = 1.4534984701894587 " " y[1] (numeric) = 1.4534984701885063 " " absolute error = 9.5234931052345930000000000000E-13 " " relative error = 6.55211773562667700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.10000000000103 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.600000000001042 " " Order of pole (three term test) = 0.9999999999999561 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.610000000001033 " " y[1] (analytic) = 1.4640084344858053 " " y[1] (numeric) = 1.4640084344848492 " " absolute error = 9.5612406880718480000000000000E-13 " " relative error = 6.53086448332518200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.110000000001033 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.610000000001055 " " Order of pole (three term test) = 0.9999999999999318 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.620000000001035 " " y[1] (analytic) = 1.4745218940635958 " " y[1] (numeric) = 1.4745218940626335 " " absolute error = 9.6234131774508570000000000000E-13 " " relative error = 6.52646340226929200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.120000000001035 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.620000000000964 " " Order of pole (three term test) = 1.000000000000064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.630000000001036 " " y[1] (analytic) = 1.4850388477015493 " " y[1] (numeric) = 1.4850388477005867 " " absolute error = 9.6256336235001070000000000000E-13 " " relative error = 6.48173860124808400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.130000000001036 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.630000000001058 " " Order of pole (three term test) = 0.9999999999999681 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.640000000001038 " " y[1] (analytic) = 1.4955592941792553 " " y[1] (numeric) = 1.4955592941782896 " " absolute error = 9.6567198681896120000000000000E-13 " " relative error = 6.45692879297647700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.140000000001038 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.64000000000112 " " Order of pole (three term test) = 0.9999999999998485 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.65000000000104 " " y[1] (analytic) = 1.5060832322771418 " " y[1] (numeric) = 1.506083232276175 " " absolute error = 9.6678220984358630000000000000E-13 " " relative error = 6.41918181627882300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.15000000000104 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.650000000000936 " " Order of pole (three term test) = 1.0000000000001337 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.66000000000104 " " y[1] (analytic) = 1.516610660776493 " " y[1] (numeric) = 1.5166106607755276 " " absolute error = 9.6544994221403610000000000000E-13 " " relative error = 6.36583908568685200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.16000000000104 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.66000000000123 " " Order of pole (three term test) = 0.9999999999999185 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.670000000001043 " " y[1] (analytic) = 1.527141578459453 " " y[1] (numeric) = 1.527141578458482 " " absolute error = 9.710010573371619000000000000E-13 " " relative error = 6.35829101265572700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.170000000001043 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.67000000000117 " " Order of pole (three term test) = 0.9999999999999504 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.680000000001044 " " y[1] (analytic) = 1.5376759841089935 " " y[1] (numeric) = 1.5376759841080228 " " absolute error = 9.7077901273223690000000000000E-13 " " relative error = 6.31328721242111800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.180000000001044 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.680000000001233 " " Order of pole (three term test) = 0.9999999999999422 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.690000000001046 " " y[1] (analytic) = 1.5482138765089566 " " y[1] (numeric) = 1.5482138765079827 " " absolute error = 9.7388763720118730000000000000E-13 " " relative error = 6.2903947056539200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.190000000001046 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.690000000001046 " " Order of pole (three term test) = 0.9999999999998971 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.700000000001047 " " y[1] (analytic) = 1.5587552544440086 " " y[1] (numeric) = 1.558755254443043 " " absolute error = 9.6567198681896120000000000000E-13 " " relative error = 6.19514823809467100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.200000000001047 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.700000000000895 " " Order of pole (three term test) = 1.0000000000000784 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.71000000000105 " " y[1] (analytic) = 1.5693001166997043 " " y[1] (numeric) = 1.569300116698731 " " absolute error = 9.7322150338641220000000000000E-13 " " relative error = 6.20162767484611500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.21000000000105 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.71000000000107 " " Order of pole (three term test) = 0.99999999999997 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.72000000000105 " " y[1] (analytic) = 1.5798484620624045 " " y[1] (numeric) = 1.579848462061421 " " absolute error = 9.8343555521296370000000000000E-13 " " relative error = 6.22487269398701200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.22000000000105 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.720000000001132 " " Order of pole (three term test) = 0.9999999999998788 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.730000000001052 " " y[1] (analytic) = 1.5904002893193088 " " y[1] (numeric) = 1.5904002893183318 " " absolute error = 9.7699626167013780000000000000E-13 " " relative error = 6.1430840287905900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.230000000001052 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.730000000000913 " " Order of pole (three term test) = 1.0000000000001192 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.740000000001054 " " y[1] (analytic) = 1.6009555972585048 " " y[1] (numeric) = 1.6009555972575265 " " absolute error = 9.783285292996879000000000000E-13 " " relative error = 6.11090358142967300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.240000000001054 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.740000000001007 " " Order of pole (three term test) = 1.0000000000001064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.750000000001055 " " y[1] (analytic) = 1.6115143846688902 " " y[1] (numeric) = 1.6115143846679119 " " absolute error = 9.783285292996879000000000000E-13 " " relative error = 6.07086439070601400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.250000000001055 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.75000000000095 " " Order of pole (three term test) = 0.999999999999986 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.760000000001057 " " y[1] (analytic) = 1.6220766503402189 " " y[1] (numeric) = 1.622076650339237 " " absolute error = 9.8188124297848840000000000000E-13 " " relative error = 6.05323578742438500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.260000000001057 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.760000000001014 " " Order of pole (three term test) = 1.000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.77000000000106 " " y[1] (analytic) = 1.6326423930630796 " " y[1] (numeric) = 1.6326423930620924 " " absolute error = 9.8721031349668920000000000000E-13 " " relative error = 6.04670268082734400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.27000000000106 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.77000000000094 " " Order of pole (three term test) = 1.0000000000000966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.78000000000106 " " y[1] (analytic) = 1.643211611628896 " " y[1] (numeric) = 1.6432116116279096 " " absolute error = 9.863221350769891000000000000E-13 " " relative error = 6.00240485216179700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.28000000000106 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.780000000001046 " " Order of pole (three term test) = 0.9999999999999701 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.79000000000106 " " y[1] (analytic) = 1.6537843048299514 " " y[1] (numeric) = 1.6537843048289602 " " absolute error = 9.9120711638533980000000000000E-13 " " relative error = 5.9935694968834500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.29000000000106 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.790000000000934 " " Order of pole (three term test) = 1.0000000000001472 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.800000000001063 " " y[1] (analytic) = 1.6643604714593394 " " y[1] (numeric) = 1.6643604714583544 " " absolute error = 9.8498986744743890000000000000E-13 " " relative error = 5.91812822004708500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.300000000001063 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.80000000000101 " " Order of pole (three term test) = 0.9999999999999776 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.810000000001065 " " y[1] (analytic) = 1.6749401103110344 " " y[1] (numeric) = 1.6749401103100405 " " absolute error = 9.9387165164444010000000000000E-13 " " relative error = 5.9337742616951200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.310000000001065 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.810000000001036 " " Order of pole (three term test) = 0.9999999999999905 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.820000000001066 " " y[1] (analytic) = 1.6855232201798032 " " y[1] (numeric) = 1.6855232201788044 " " absolute error = 9.9875663295279080000000000000E-13 " " relative error = 5.92549910315829700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.320000000001066 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.82000000000086 " " Order of pole (three term test) = 1.0000000000001554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.830000000001068 " " y[1] (analytic) = 1.696109799861258 " " y[1] (numeric) = 1.6961097998602679 " " absolute error = 9.9009689336071460000000000000E-13 " " relative error = 5.83745753630870300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.330000000001068 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.830000000001007 " " Order of pole (three term test) = 1.000000000000079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.84000000000107 " " y[1] (analytic) = 1.7066998481518851 " " y[1] (numeric) = 1.7066998481508888 " " absolute error = 9.9631414229861550000000000000E-13 " " relative error = 5.83766468004015400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.34000000000107 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.840000000001037 " " Order of pole (three term test) = 0.9999999999999954 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.85000000000107 " " y[1] (analytic) = 1.717293363848956 " " y[1] (numeric) = 1.7172933638479593 " " absolute error = 9.9675823150846550000000000000E-13 " " relative error = 5.80423969772083200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.35000000000107 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.85000000000111 " " Order of pole (three term test) = 1.0000000000001263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.860000000001072 " " y[1] (analytic) = 1.7278903457506019 " " y[1] (numeric) = 1.727890345749605 " " absolute error = 9.9675823150846550000000000000E-13 " " relative error = 5.76864286532876100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.360000000001072 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.86000000000124 " " Order of pole (three term test) = 0.9999999999999376 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.870000000001074 " " y[1] (analytic) = 1.7384907926557887 " " y[1] (numeric) = 1.7384907926547852 " " absolute error = 1.0034195696562165000000000000E-12 " " relative error = 5.77178535483269500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.370000000001074 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.870000000001394 " " Order of pole (three term test) = 0.9999999999998656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.880000000001075 " " y[1] (analytic) = 1.7490947033642925 " " y[1] (numeric) = 1.7490947033632906 " " absolute error = 1.0018652574217413000000000000E-12 " " relative error = 5.7279074454613900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.380000000001075 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.88000000000085 " " Order of pole (three term test) = 1.0000000000001297 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.890000000001077 " " y[1] (analytic) = 1.7597020766767457 " " y[1] (numeric) = 1.7597020766757434 " " absolute error = 1.0023093466315913000000000000E-12 " " relative error = 5.695903641396417000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.390000000001077 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.890000000001276 " " Order of pole (three term test) = 0.9999999999998642 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.90000000000108 " " y[1] (analytic) = 1.7703129113945977 " " y[1] (numeric) = 1.7703129113935958 " " absolute error = 1.0018652574217413000000000000E-12 " " relative error = 5.6592552139977500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.40000000000108 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.90000000000122 " " Order of pole (three term test) = 0.9999999999998592 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.91000000000108 " " y[1] (analytic) = 1.7809272063201362 " " y[1] (numeric) = 1.7809272063191297 " " absolute error = 1.006528194125166900000000000E-12 " " relative error = 5.65170878715991400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.41000000000108 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.91000000000116 " " Order of pole (three term test) = 0.9999999999999682 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.92000000000108 " " y[1] (analytic) = 1.79154496025647 " " y[1] (numeric) = 1.7915449602554556 " " absolute error = 1.014299755297543000000000000E-12 " " relative error = 5.66159252376418300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.42000000000108 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.92000000000118 " " Order of pole (three term test) = 0.9999999999998616 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.930000000001083 " " y[1] (analytic) = 1.8021661720075244 " " y[1] (numeric) = 1.8021661720065114 " " absolute error = 1.0129674876679928000000000000E-12 " " relative error = 5.6208328810189400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.430000000001083 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.93000000000097 " " Order of pole (three term test) = 1.0000000000000753 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.940000000001085 " " y[1] (analytic) = 1.8127908403780744 " " y[1] (numeric) = 1.8127908403770623 " " absolute error = 1.0120793092482927000000000000E-12 " " relative error = 5.582989977140518000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.440000000001085 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.94000000000093 " " Order of pole (three term test) = 1.0000000000000935 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.950000000001086 " " y[1] (analytic) = 1.8234189641737117 " " y[1] (numeric) = 1.8234189641726992 " " absolute error = 1.0125233984581428000000000000E-12 " " relative error = 5.552883996229419000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.450000000001086 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.950000000001197 " " Order of pole (three term test) = 1.0000000000000135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.960000000001088 " " y[1] (analytic) = 1.8340505422008562 " " y[1] (numeric) = 1.8340505421998383 " " absolute error = 1.0178524689763435000000000000E-12 " " relative error = 5.549751468435123000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.460000000001088 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.960000000001127 " " Order of pole (three term test) = 1.0000000000000306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.97000000000109 " " y[1] (analytic) = 1.8446855732667409 " " y[1] (numeric) = 1.8446855732657201 " " absolute error = 1.020739048840368900000000000E-12 " " relative error = 5.53340397752853500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.47000000000109 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.970000000001285 " " Order of pole (three term test) = 0.9999999999997718 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.98000000000109 " " y[1] (analytic) = 1.8553240561794269 " " y[1] (numeric) = 1.8553240561784086 " " absolute error = 1.0182965581861936000000000000E-12 " " relative error = 5.488510510035207000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.48000000000109 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.980000000001162 " " Order of pole (three term test) = 1.0000000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 26.990000000001093 " " y[1] (analytic) = 1.86596598974781 " " y[1] (numeric) = 1.86596598974679 " " absolute error = 1.0200729150255938000000000000E-12 " " relative error = 5.46672833604785700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.490000000001093 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 28.990000000001036 " " Order of pole (three term test) = 0.9999999999999662 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.000000000001094 " " y[1] (analytic) = 1.8766113727815892 " " y[1] (numeric) = 1.8766113727805727 " " absolute error = 1.0165202013467933000000000000E-12 " " relative error = 5.416785894460748000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.500000000001094 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.000000000001084 " " Order of pole (three term test) = 0.9999999999999329 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.010000000001096 " " y[1] (analytic) = 1.8872602040913122 " " y[1] (numeric) = 1.8872602040902857 " " absolute error = 1.0265122085684197000000000000E-12 " " relative error = 5.4391662916596610000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.510000000001096 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.010000000001195 " " Order of pole (three term test) = 0.9999999999998895 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.020000000001097 " " y[1] (analytic) = 1.8979124824883122 " " y[1] (numeric) = 1.8979124824872784 " " absolute error = 1.0338396805309458000000000000E-12 " " relative error = 5.44724633021803400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.520000000001097 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.020000000001183 " " Order of pole (three term test) = 1.0000000000000036 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.0300000000011 " " y[1] (analytic) = 1.908568206784743 " " y[1] (numeric) = 1.908568206783719 " " absolute error = 1.0238476733093194000000000000E-12 " " relative error = 5.364480397764446000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.5300000000011 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.030000000000914 " " Order of pole (three term test) = 1.0000000000001146 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.0400000000011 " " y[1] (analytic) = 1.919227375793625 " " y[1] (numeric) = 1.9192273757925944 " " absolute error = 1.0305090114570703000000000000E-12 " " relative error = 5.369395124592478000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.5400000000011 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.040000000000884 " " Order of pole (three term test) = 1.000000000000171 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.050000000001102 " " y[1] (analytic) = 1.9298899883287355 " " y[1] (numeric) = 1.9298899883277085 " " absolute error = 1.0269562977782698000000000000E-12 " " relative error = 5.32132040680517300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.550000000001102 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.05000000000134 " " Order of pole (three term test) = 0.9999999999998795 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.060000000001104 " " y[1] (analytic) = 1.9405560432047153 " " y[1] (numeric) = 1.9405560432036824 " " absolute error = 1.0329515021112456000000000000E-12 " " relative error = 5.32296660912398400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.560000000001104 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.060000000001143 " " Order of pole (three term test) = 1.000000000000038 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.070000000001105 " " y[1] (analytic) = 1.9512255392369902 " " y[1] (numeric) = 1.9512255392359525 " " absolute error = 1.0376144388146713000000000000E-12 " " relative error = 5.31775757312207800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.570000000001105 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.07000000000147 " " Order of pole (three term test) = 0.9999999999997408 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.080000000001107 " " y[1] (analytic) = 1.9618984752418065 " " y[1] (numeric) = 1.9618984752407709 " " absolute error = 1.035616037370346000000000000E-12 " " relative error = 5.27864234790592300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.580000000001107 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.080000000001135 " " Order of pole (three term test) = 1.000000000000039 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.09000000000111 " " y[1] (analytic) = 1.9725748500362386 " " y[1] (numeric) = 1.972574850035203 " " absolute error = 1.035616037370346000000000000E-12 " " relative error = 5.25007219549271100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.59000000000111 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.09000000000117 " " Order of pole (three term test) = 0.999999999999965 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.10000000000111 " " y[1] (analytic) = 1.9832546624381635 " " y[1] (numeric) = 1.9832546624371281 " " absolute error = 1.035393992765421000000000000E-12 " " relative error = 5.22068099662266100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.60000000000111 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.10000000000112 " " Order of pole (three term test) = 1.0000000000000284 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.11000000000111 " " y[1] (analytic) = 1.9939379112662792 " " y[1] (numeric) = 1.9939379112652376 " " absolute error = 1.0416112417033219000000000000E-12 " " relative error = 5.22389005102887900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.61000000000111 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.11000000000113 " " Order of pole (three term test) = 0.9999999999999607 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.120000000001113 " " y[1] (analytic) = 2.004624595340079 " " y[1] (numeric) = 2.0046245953390347 " " absolute error = 1.0444978215673473000000000000E-12 " " relative error = 5.21044101721275700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.620000000001113 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.120000000001333 " " Order of pole (three term test) = 0.9999999999999517 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.130000000001115 " " y[1] (analytic) = 2.015314713479878 " " y[1] (numeric) = 2.0153147134788334 " " absolute error = 1.0444978215673473000000000000E-12 " " relative error = 5.18280253987624200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.630000000001115 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.130000000000884 " " Order of pole (three term test) = 1.0000000000001106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.140000000001116 " " y[1] (analytic) = 2.026008264506803 " " y[1] (numeric) = 2.0260082645057578 " " absolute error = 1.0453859999870474000000000000E-12 " " relative error = 5.159830876808040000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.640000000001116 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.140000000001315 " " Order of pole (three term test) = 0.9999999999998092 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.150000000001118 " " y[1] (analytic) = 2.036705247242786 " " y[1] (numeric) = 2.0367052472417404 " " absolute error = 1.0453859999870474000000000000E-12 " " relative error = 5.132730921188775000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.650000000001118 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.15000000000097 " " Order of pole (three term test) = 1.000000000000199 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.16000000000112 " " y[1] (analytic) = 2.04740566051057 " " y[1] (numeric) = 2.0474056605095226 " " absolute error = 1.0476064460362977000000000000E-12 " " relative error = 5.11675075556375900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.66000000000112 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.160000000001197 " " Order of pole (three term test) = 0.9999999999999745 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.17000000000112 " " y[1] (analytic) = 2.058109503133707 " " y[1] (numeric) = 2.0581095031326533 " " absolute error = 1.0538236949741986000000000000E-12 " " relative error = 5.12034803478450200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.67000000000112 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.170000000000925 " " Order of pole (three term test) = 1.0000000000001141 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.180000000001122 " " y[1] (analytic) = 2.0688167739365397 " " y[1] (numeric) = 2.0688167739354877 " " absolute error = 1.0520473381347983000000000000E-12 " " relative error = 5.08526106027729600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.680000000001122 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.18000000000081 " " Order of pole (three term test) = 1.0000000000002933 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.190000000001124 " " y[1] (analytic) = 2.079527471744239 " " y[1] (numeric) = 2.079527471743187 " " absolute error = 1.0520473381347983000000000000E-12 " " relative error = 5.05906919927523700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.690000000001124 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.190000000001216 " " Order of pole (three term test) = 0.9999999999999062 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.200000000001125 " " y[1] (analytic) = 2.0902415953827678 " " y[1] (numeric) = 2.090241595381717 " " absolute error = 1.0507150705052481000000000000E-12 " " relative error = 5.02676376178821500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.700000000001125 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.20000000000145 " " Order of pole (three term test) = 0.9999999999998429 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.210000000001127 " " y[1] (analytic) = 2.1009591436789066 " " y[1] (numeric) = 2.1009591436778488 " " absolute error = 1.0578204978628492000000000000E-12 " " relative error = 5.034940831883772000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.710000000001127 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.210000000001255 " " Order of pole (three term test) = 0.9999999999999403 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.22000000000113 " " y[1] (analytic) = 2.111680115460217 " " y[1] (numeric) = 2.111680115459155 " " absolute error = 1.0622613899613498000000000000E-12 " " relative error = 5.03040864089323400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.72000000000113 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.22000000000131 " " Order of pole (three term test) = 0.9999999999999414 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.23000000000113 " " y[1] (analytic) = 2.1224045095550714 " " y[1] (numeric) = 2.122404509554012 " " absolute error = 1.0595968547022494000000000000E-12 " " relative error = 4.99243593731515900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.73000000000113 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.230000000001205 " " Order of pole (three term test) = 1.0000000000000389 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.24000000000113 " " y[1] (analytic) = 2.133132324792662 " " y[1] (numeric) = 2.1331323247915974 " " absolute error = 1.0644818360106001000000000E-12 " " relative error = 4.990228799397461400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.74000000000113 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.24000000000128 " " Order of pole (three term test) = 0.9999999999999118 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.250000000001133 " " y[1] (analytic) = 2.143863560002952 " " y[1] (numeric) = 2.14386356000189 " " absolute error = 1.0622613899613498000000000000E-12 " " relative error = 4.954892698301598400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.750000000001133 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.250000000000686 " " Order of pole (three term test) = 1.000000000000303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.260000000001135 " " y[1] (analytic) = 2.1545982140167297 " " y[1] (numeric) = 2.1545982140156674 " " absolute error = 1.0622613899613498000000000000E-12 " " relative error = 4.930206397883432600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.760000000001135 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.260000000001057 " " Order of pole (three term test) = 0.9999999999999956 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.270000000001136 " " y[1] (analytic) = 2.1653362856655782 " " y[1] (numeric) = 2.1653362856645084 " " absolute error = 1.0698109065288008000000000000E-12 " " relative error = 4.94062245024432240000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.770000000001136 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.270000000001414 " " Order of pole (three term test) = 0.999999999999714 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.280000000001138 " " y[1] (analytic) = 2.1760777737818557 " " y[1] (numeric) = 2.1760777737807886 " " absolute error = 1.0671463712697005000000000000E-12 " " relative error = 4.903990032557899400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.780000000001138 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.28000000000118 " " Order of pole (three term test) = 1.0000000000000213 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.29000000000114 " " y[1] (analytic) = 2.1868226771987516 " " y[1] (numeric) = 2.1868226771976813 " " absolute error = 1.070254995738650900000000000E-12 " " relative error = 4.894109645458828400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.79000000000114 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.290000000001392 " " Order of pole (three term test) = 0.9999999999998271 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.30000000000114 " " y[1] (analytic) = 2.1975709947502224 " " y[1] (numeric) = 2.1975709947491575 " " absolute error = 1.0649259252204502000000000000E-12 " " relative error = 4.84592273817069760000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.80000000000114 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.300000000001237 " " Order of pole (three term test) = 0.999999999999912 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.310000000001143 " " y[1] (analytic) = 2.20832272527106 " " y[1] (numeric) = 2.208322725269983 " " absolute error = 1.0769163338864018000000000000E-12 " " relative error = 4.87662569226251100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.810000000001143 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.310000000001 " " Order of pole (three term test) = 1.0000000000000488 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.320000000001144 " " y[1] (analytic) = 2.219077867596802 " " y[1] (numeric) = 2.2190778675957197 " " absolute error = 1.0822454044046026000000000000E-12 " " relative error = 4.8770050848943103000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.820000000001144 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.32000000000103 " " Order of pole (three term test) = 1.0000000000001128 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.330000000001146 " " y[1] (analytic) = 2.2298364205637995 " " y[1] (numeric) = 2.229836420562723 " " absolute error = 1.0764722446765518000000000000E-12 " " relative error = 4.82758391938173160000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.830000000001146 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.33000000000101 " " Order of pole (three term test) = 0.9999999999999656 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.340000000001147 " " y[1] (analytic) = 2.2405983830092246 " " y[1] (numeric) = 2.240598383008142 " " absolute error = 1.0826894936144527000000000000E-12 " " relative error = 4.832144403140878300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.840000000001147 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.340000000001158 " " Order of pole (three term test) = 1.0000000000001052 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.35000000000115 " " y[1] (analytic) = 2.2513637537709954 " " y[1] (numeric) = 2.251363753769919 " " absolute error = 1.0764722446765518000000000000E-12 " " relative error = 4.781423005826932000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.85000000000115 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.35000000000097 " " Order of pole (three term test) = 1.0000000000002027 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.36000000000115 " " y[1] (analytic) = 2.262132531687868 " " y[1] (numeric) = 2.2621325316867873 " " absolute error = 1.0809131367750524000000000000E-12 " " relative error = 4.778292702278321700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.86000000000115 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.360000000001445 " " Order of pole (three term test) = 0.9999999999997646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.370000000001152 " " y[1] (analytic) = 2.2729047155993563 " " y[1] (numeric) = 2.272904715598272 " " absolute error = 1.084465850453852900000000000E-12 " " relative error = 4.771277225177842400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.870000000001152 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.37000000000109 " " Order of pole (three term test) = 0.9999999999999741 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.380000000001154 " " y[1] (analytic) = 2.2836803043457756 " " y[1] (numeric) = 2.2836803043446876 " " absolute error = 1.0880185641326534000000000000E-12 " " relative error = 4.764320829242983400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.880000000001154 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.380000000000926 " " Order of pole (three term test) = 1.0000000000001459 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.390000000001155 " " y[1] (analytic) = 2.294459296768224 " " y[1] (numeric) = 2.294459296767139 " " absolute error = 1.084909939663703000000000000E-12 " " relative error = 4.728390436874660400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.890000000001155 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.390000000001095 " " Order of pole (three term test) = 0.9999999999999465 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.400000000001157 " " y[1] (analytic) = 2.305241691708602 " " y[1] (numeric) = 2.30524169170752 " " absolute error = 1.0822454044046026000000000000E-12 " " relative error = 4.694715561917773000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.900000000001157 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.40000000000133 " " Order of pole (three term test) = 0.9999999999998695 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.41000000000116 " " y[1] (analytic) = 2.316027488009599 " " y[1] (numeric) = 2.31602748800851 " " absolute error = 1.0889067425523535000000000000E-12 " " relative error = 4.70161407060053200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.91000000000116 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.410000000001222 " " Order of pole (three term test) = 1.0000000000000644 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.42000000000116 " " y[1] (analytic) = 2.326816684514675 " " y[1] (numeric) = 2.3268166845135783 " " absolute error = 1.0969003483296547000000000000E-12 " " relative error = 4.71416745302582760000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.92000000000116 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.420000000001135 " " Order of pole (three term test) = 1.0000000000001215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.43000000000116 " " y[1] (analytic) = 2.3376092800680723 " " y[1] (numeric) = 2.337609280066978 " " absolute error = 1.0942358130705543000000000000E-12 " " relative error = 4.6810038888906600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.93000000000116 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.430000000001318 " " Order of pole (three term test) = 0.9999999999998611 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.440000000001163 " " y[1] (analytic) = 2.348405273514846 " " y[1] (numeric) = 2.3484052735137495 " " absolute error = 1.0964562591198046000000000000E-12 " " relative error = 4.668939690629906300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.940000000001163 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.440000000001067 " " Order of pole (three term test) = 1.0000000000000486 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.450000000001165 " " y[1] (analytic) = 2.359204663700808 " " y[1] (numeric) = 2.3592046636997166 " " absolute error = 1.091571277811453900000000000E-12 " " relative error = 4.62686130884101150000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.950000000001165 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.45000000000131 " " Order of pole (three term test) = 0.9999999999998174 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.460000000001166 " " y[1] (analytic) = 2.3700074494725882 " " y[1] (numeric) = 2.370007449471488 " " absolute error = 1.1004530620084552000000000000E-12 " " relative error = 4.64324727018619900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.960000000001166 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.460000000001394 " " Order of pole (three term test) = 0.9999999999999162 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.470000000001168 " " y[1] (analytic) = 2.380813629677558 " " y[1] (numeric) = 2.380813629676454 " " absolute error = 1.1040057756872557000000000000E-12 " " relative error = 4.63709448705052650000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.970000000001168 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.470000000000926 " " Order of pole (three term test) = 1.0000000000002105 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.48000000000117 " " y[1] (analytic) = 2.3916232031638884 " " y[1] (numeric) = 2.391623203162788 " " absolute error = 1.1004530620084552000000000000E-12 " " relative error = 4.601281090401954700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.98000000000117 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.48000000000135 " " Order of pole (three term test) = 0.9999999999999389 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.49000000000117 " " y[1] (analytic) = 2.40243616878055 " " y[1] (numeric) = 2.402436168779445 " " absolute error = 1.1053380433168059000000000000E-12 " " relative error = 4.60090493841450600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 28.99000000000117 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.490000000001203 " " Order of pole (three term test) = 0.9999999999999826 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.500000000001172 " " y[1] (analytic) = 2.4132525253772563 " " y[1] (numeric) = 2.41325252537616 " " absolute error = 1.0964562591198046000000000000E-12 " " relative error = 4.543479174225246700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.000000000001172 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.50000000000112 " " Order of pole (three term test) = 0.9999999999998571 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.510000000001174 " " y[1] (analytic) = 2.424072271804551 " " y[1] (numeric) = 2.4240722718034484 " " absolute error = 1.1026735080577055000000000000E-12 " " relative error = 4.548847494702963300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.010000000001174 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.510000000001295 " " Order of pole (three term test) = 0.9999999999999833 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.520000000001176 " " y[1] (analytic) = 2.434895406913718 " " y[1] (numeric) = 2.4348954069126045 " " absolute error = 1.113331649094107000000000000E-12 " " relative error = 4.57240030078038800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.020000000001176 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.520000000001215 " " Order of pole (three term test) = 0.9999999999999601 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.530000000001177 " " y[1] (analytic) = 2.445721929556811 " " y[1] (numeric) = 2.4457219295557007 " " absolute error = 1.1102230246251565000000000000E-12 " " relative error = 4.539449114014118500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.030000000001177 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.530000000001134 " " Order of pole (three term test) = 1.000000000000004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.54000000000118 " " y[1] (analytic) = 2.4565518385867016 " " y[1] (numeric) = 2.456551838585587 " " absolute error = 1.1146639167236572000000000000E-12 " " relative error = 4.53751432888525300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.04000000000118 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.54000000000137 " " Order of pole (three term test) = 0.9999999999999829 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.55000000000118 " " y[1] (analytic) = 2.4673851328570002 " " y[1] (numeric) = 2.46738513285589 " " absolute error = 1.1102230246251565000000000000E-12 " " relative error = 4.49959355692324600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.05000000000118 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.550000000001408 " " Order of pole (three term test) = 1.0000000000000158 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.56000000000118 " " y[1] (analytic) = 2.4782218112221273 " " y[1] (numeric) = 2.478221811221012 " " absolute error = 1.1151080059335072000000000000E-12 " " relative error = 4.499629536323042600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.06000000000118 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.560000000001423 " " Order of pole (three term test) = 0.9999999999998823 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.570000000001183 " " y[1] (analytic) = 2.4890618725372526 " " y[1] (numeric) = 2.4890618725361313 " " absolute error = 1.1213252548714081000000000000E-12 " " relative error = 4.50501157582062400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.070000000001183 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.57000000000093 " " Order of pole (three term test) = 1.0000000000001827 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.580000000001185 " " y[1] (analytic) = 2.4999053156583173 " " y[1] (numeric) = 2.4999053156571995 " " absolute error = 1.1177725411926076000000000000E-12 " " relative error = 4.47125950807563600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.080000000001185 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.580000000001412 " " Order of pole (three term test) = 0.999999999999823 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.590000000001186 " " y[1] (analytic) = 2.510752139442065 " " y[1] (numeric) = 2.510752139440942 " " absolute error = 1.1231016117108084000000000000E-12 " " relative error = 4.47316799642509530000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.090000000001186 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.59000000000115 " " Order of pole (three term test) = 0.9999999999999061 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.600000000001188 " " y[1] (analytic) = 2.5216023427459717 " " y[1] (numeric) = 2.5216023427448566 " " absolute error = 1.1151080059335072000000000000E-12 " " relative error = 4.42221989974508900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.100000000001188 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.60000000000123 " " Order of pole (three term test) = 1.000000000000055 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.61000000000119 " " y[1] (analytic) = 2.532455924428344 " " y[1] (numeric) = 2.532455924427214 " " absolute error = 1.1302070390684094000000000000E-12 " " relative error = 4.46288927742556130000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.11000000000119 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.61000000000104 " " Order of pole (three term test) = 0.9999999999999939 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.62000000000119 " " y[1] (analytic) = 2.543312883348186 " " y[1] (numeric) = 2.5433128833470553 " " absolute error = 1.1306511282782594000000000000E-12 " " relative error = 4.445584087121028000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.12000000000119 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.620000000001284 " " Order of pole (three term test) = 0.9999999999998904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.630000000001193 " " y[1] (analytic) = 2.5541732183653174 " " y[1] (numeric) = 2.5541732183641925 " " absolute error = 1.1248779685502086000000000000E-12 " " relative error = 4.40407862889634300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.130000000001193 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.63000000000108 " " Order of pole (three term test) = 1.0000000000002074 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.640000000001194 " " y[1] (analytic) = 2.5650369283403407 " " y[1] (numeric) = 2.565036928339207 " " absolute error = 1.1337597527472099000000000000E-12 " " relative error = 4.42005235956110800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.140000000001194 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.640000000001063 " " Order of pole (three term test) = 1.000000000000084 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.650000000001196 " " y[1] (analytic) = 2.5759040121345826 " " y[1] (numeric) = 2.5759040121334484 " " absolute error = 1.13420384195705990000000000E-12 " " relative error = 4.40312929602208140000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.150000000001196 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.6500000000011 " " Order of pole (three term test) = 1.0000000000000655 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.660000000001197 " " y[1] (analytic) = 2.586774468610166 " " y[1] (numeric) = 2.5867744686090357 " " absolute error = 1.1302070390684094000000000000E-12 " " relative error = 4.369175020022724000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.160000000001197 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.660000000001503 " " Order of pole (three term test) = 0.9999999999998344 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.6700000000012 " " y[1] (analytic) = 2.5976482966299947 " " y[1] (numeric) = 2.597648296628854 " " absolute error = 1.1408651801048109000000000000E-12 " " relative error = 4.39191549365974100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.1700000000012 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.6700000000013 " " Order of pole (three term test) = 0.9999999999999408 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.6800000000012 " " y[1] (analytic) = 2.608525495057691 " " y[1] (numeric) = 2.608525495056555 " " absolute error = 1.1359801987964602000000000000E-12 " " relative error = 4.354874817013572600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.1800000000012 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.680000000001236 " " Order of pole (three term test) = 1.0000000000000098 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.690000000001202 " " y[1] (analytic) = 2.619406062757694 " " y[1] (numeric) = 2.6194060627565574 " " absolute error = 1.1364242880063102000000000000E-12 " " relative error = 4.33848078831233200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.190000000001202 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.69000000000114 " " Order of pole (three term test) = 0.9999999999999334 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.700000000001204 " " y[1] (analytic) = 2.630289998595174 " " y[1] (numeric) = 2.6302899985940433 " " absolute error = 1.1306511282782594000000000000E-12 " " relative error = 4.29857973410587900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.200000000001204 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.700000000001065 " " Order of pole (three term test) = 1.0000000000001075 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.710000000001205 " " y[1] (analytic) = 2.6411773014361053 " " y[1] (numeric) = 2.64117730143496 " " absolute error = 1.1453060722033115000000000000E-12 " " relative error = 4.33634679345671500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.210000000001205 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.710000000001198 " " Order of pole (three term test) = 1.0000000000000735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.720000000001207 " " y[1] (analytic) = 2.652067970147165 " " y[1] (numeric) = 2.6520679701460175 " " absolute error = 1.1475265182525618000000000000E-12 " " relative error = 4.32691217257484100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.220000000001207 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.720000000001093 " " Order of pole (three term test) = 1.0000000000000755 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.73000000000121 " " y[1] (analytic) = 2.6629620035958332 " " y[1] (numeric) = 2.662962003594689 " " absolute error = 1.1444178937836114000000000000E-12 " " relative error = 4.29753744979571100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.23000000000121 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.73000000000106 " " Order of pole (three term test) = 1.0000000000001277 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.74000000000121 " " y[1] (analytic) = 2.6738594006503575 " " y[1] (numeric) = 2.673859400649209 " " absolute error = 1.148414696672261900000000000E-12 " " relative error = 4.29497039520079170000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.24000000000121 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.74000000000106 " " Order of pole (three term test) = 1.0000000000001588 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.75000000000121 " " y[1] (analytic) = 2.6847601601797173 " " y[1] (numeric) = 2.684760160178574 " " absolute error = 1.1430856261540612000000000000E-12 " " relative error = 4.25768246679265050000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.25000000000121 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.750000000001304 " " Order of pole (three term test) = 0.9999999999998483 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.760000000001213 " " y[1] (analytic) = 2.695664281053695 " " y[1] (numeric) = 2.6956642810525406 " " absolute error = 1.1541878564003127000000000000E-12 " " relative error = 4.28164539817680100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.260000000001213 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.760000000001295 " " Order of pole (three term test) = 0.9999999999999968 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.770000000001215 " " y[1] (analytic) = 2.706571762142776 " " y[1] (numeric) = 2.706571762141624 " " absolute error = 1.1519674103510624000000000000E-12 " " relative error = 4.256186466081568500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.270000000001215 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.77000000000123 " " Order of pole (three term test) = 0.9999999999999787 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.780000000001216 " " y[1] (analytic) = 2.717482602318249 " " y[1] (numeric) = 2.717482602317099 " " absolute error = 1.1501910535116622000000000000E-12 " " relative error = 4.23256087281092200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.280000000001216 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.78000000000135 " " Order of pole (three term test) = 0.9999999999999043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.790000000001218 " " y[1] (analytic) = 2.728396800452156 " " y[1] (numeric) = 2.7283968004509984 " " absolute error = 1.1577405700791132000000000000E-12 " " relative error = 4.24329983779210500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.290000000001218 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.790000000001488 " " Order of pole (three term test) = 0.9999999999998654 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.80000000000122 " " y[1] (analytic) = 2.739314355417264 " " y[1] (numeric) = 2.7393143554161123 " " absolute error = 1.1515233211412124000000000000E-12 " " relative error = 4.20369177003713200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.30000000000122 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.800000000001116 " " Order of pole (three term test) = 1.0000000000001095 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.81000000000122 " " y[1] (analytic) = 2.7502352660871487 " " y[1] (numeric) = 2.750235266085987 " " absolute error = 1.1617373729677638000000000000E-12 " " relative error = 4.22413815753517800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.31000000000122 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.810000000001327 " " Order of pole (three term test) = 1.000000000000017 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.820000000001222 " " y[1] (analytic) = 2.761159531336091 " " y[1] (numeric) = 2.761159531334925 " " absolute error = 1.1657341758564144000000000000E-12 " " relative error = 4.221900845013218400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.320000000001222 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.82000000000122 " " Order of pole (three term test) = 1.0000000000001104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.830000000001224 " " y[1] (analytic) = 2.7720871500391446 " " y[1] (numeric) = 2.772087150037984 " " absolute error = 1.1608491945480637000000000000E-12 " " relative error = 4.187636000302773500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.330000000001224 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.83000000000124 " " Order of pole (three term test) = 0.999999999999975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.840000000001226 " " y[1] (analytic) = 2.783018121072139 " " y[1] (numeric) = 2.7830181210709743 " " absolute error = 1.1648459974367142000000000000E-12 " " relative error = 4.18554945300882600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.340000000001226 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.8400000000013 " " Order of pole (three term test) = 0.9999999999999842 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.850000000001227 " " y[1] (analytic) = 2.7939524433116283 " " y[1] (numeric) = 2.793952443310462 " " absolute error = 1.1661782650662644000000000000E-12 " " relative error = 4.17393741922110700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.350000000001227 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.850000000001387 " " Order of pole (three term test) = 0.9999999999997014 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.86000000000123 " " y[1] (analytic) = 2.804890115634933 " " y[1] (numeric) = 2.8048901156337647 " " absolute error = 1.1683987111155147000000000000E-12 " " relative error = 4.16557748413266600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.36000000000123 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.860000000001286 " " Order of pole (three term test) = 0.999999999999905 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.87000000000123 " " y[1] (analytic) = 2.8158311369201208 " " y[1] (numeric) = 2.8158311369189515 " " absolute error = 1.1692868895352149000000000000E-12 " " relative error = 4.15254620280301700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.37000000000123 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.870000000001014 " " Order of pole (three term test) = 1.0000000000002451 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.880000000001232 " " y[1] (analytic) = 2.826775506046012 " " y[1] (numeric) = 2.826775506044844 " " absolute error = 1.1679546219056647000000000000E-12 " " relative error = 4.13175584480479700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.380000000001232 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.880000000001004 " " Order of pole (three term test) = 1.0000000000002673 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.890000000001233 " " y[1] (analytic) = 2.837723221892187 " " y[1] (numeric) = 2.8377232218910127 " " absolute error = 1.1741718708435656000000000000E-12 " " relative error = 4.1377251374805700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.390000000001233 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.89000000000135 " " Order of pole (three term test) = 0.9999999999999177 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.900000000001235 " " y[1] (analytic) = 2.8486742833389442 " " y[1] (numeric) = 2.8486742833377794 " " absolute error = 1.1648459974367142000000000000E-12 " " relative error = 4.08908103060274360000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.400000000001235 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.90000000000139 " " Order of pole (three term test) = 0.9999999999999007 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.910000000001236 " " y[1] (analytic) = 2.8596286892673923 " " y[1] (numeric) = 2.8596286892662137 " " absolute error = 1.1786127629420662000000000000E-12 " " relative error = 4.121558744201907500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.410000000001236 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.91000000000139 " " Order of pole (three term test) = 0.99999999999994 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.920000000001238 " " y[1] (analytic) = 2.8705864385593216 " " y[1] (numeric) = 2.8705864385581337 " " absolute error = 1.1879386363489175000000000000E-12 " " relative error = 4.13831341356547100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.420000000001238 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.920000000001416 " " Order of pole (three term test) = 0.9999999999999009 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.93000000000124 " " y[1] (analytic) = 2.881547530097283 " " y[1] (numeric) = 2.8815475300961055 " " absolute error = 1.177280495312516000000000000E-12 " " relative error = 4.08558416273206600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.43000000000124 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.930000000001648 " " Order of pole (three term test) = 0.9999999999997131 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.94000000000124 " " y[1] (analytic) = 2.8925119627646225 " " y[1] (numeric) = 2.8925119627634412 " " absolute error = 1.1812772982011666000000000000E-12 " " relative error = 4.08391499640374240000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.44000000000124 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.94000000000161 " " Order of pole (three term test) = 0.9999999999998067 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.950000000001243 " " y[1] (analytic) = 2.9034797354453765 " " y[1] (numeric) = 2.903479735444199 " " absolute error = 1.177724584522366000000000000E-12 " " relative error = 4.05625212445889600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.450000000001243 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.950000000001346 " " Order of pole (three term test) = 0.9999999999998715 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.960000000001244 " " y[1] (analytic) = 2.9144508470243693 " " y[1] (numeric) = 2.9144508470231822 " " absolute error = 1.1870504579292174000000000000E-12 " " relative error = 4.072981567492161600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.460000000001244 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.960000000001298 " " Order of pole (three term test) = 0.9999999999999031 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.970000000001246 " " y[1] (analytic) = 2.925425296387129 " " y[1] (numeric) = 2.925425296385939 " " absolute error = 1.1897149931883177000000000000E-12 " " relative error = 4.06681036995750300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.470000000001246 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.97000000000118 " " Order of pole (three term test) = 0.9999999999999702 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.980000000001247 " " y[1] (analytic) = 2.936403082419943 " " y[1] (numeric) = 2.9364030824187615 " " absolute error = 1.1817213874110166000000000000E-12 " " relative error = 4.02438409932855200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.480000000001247 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.98000000000138 " " Order of pole (three term test) = 0.9999999999998117 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 27.99000000000125 " " y[1] (analytic) = 2.947384204009868 " " y[1] (numeric) = 2.9473842040086837 " " absolute error = 1.184385922670117000000000000E-12 " " relative error = 4.018430719207829500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.49000000000125 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 29.99000000000148 " " Order of pole (three term test) = 0.9999999999998382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.00000000000125 " " y[1] (analytic) = 2.9583686600446697 " " y[1] (numeric) = 2.9583686600434826 " " absolute error = 1.1870504579292174000000000000E-12 " " relative error = 4.012517013046283400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.50000000000125 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.000000000001318 " " Order of pole (three term test) = 0.9999999999998778 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.010000000001252 " " y[1] (analytic) = 2.9693564494128672 " " y[1] (numeric) = 2.9693564494116766 " " absolute error = 1.1906031716080179000000000000E-12 " " relative error = 4.009633709834454000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.510000000001252 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.01000000000133 " " Order of pole (three term test) = 0.9999999999999811 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.020000000001254 " " y[1] (analytic) = 2.980347571003719 " " y[1] (numeric) = 2.9803475710025245 " " absolute error = 1.1945999744966684000000000000E-12 " " relative error = 4.00825724529287700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.520000000001254 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.020000000001257 " " Order of pole (three term test) = 0.9999999999999536 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.030000000001255 " " y[1] (analytic) = 2.9913420237072224 " " y[1] (numeric) = 2.9913420237060255 " " absolute error = 1.1968204205459188000000000000E-12 " " relative error = 4.00094810643778660000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.530000000001255 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.03000000000154 " " Order of pole (three term test) = 0.9999999999998682 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.040000000001257 " " y[1] (analytic) = 3.0023398064141205 " " y[1] (numeric) = 3.0023398064129183 " " absolute error = 1.2021494910641195000000000000E-12 " " relative error = 4.004042075769967000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.540000000001257 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.040000000001356 " " Order of pole (three term test) = 0.9999999999998809 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.05000000000126 " " y[1] (analytic) = 3.0133409180158743 " " y[1] (numeric) = 3.0133409180146793 " " absolute error = 1.1950440637065185000000000000E-12 " " relative error = 3.965844211525166300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.55000000000126 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.050000000001013 " " Order of pole (three term test) = 1.0000000000001292 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.06000000000126 " " y[1] (analytic) = 3.0243453574047265 " " y[1] (numeric) = 3.0243453574035235 " " absolute error = 1.2030376694838196000000000000E-12 " " relative error = 3.977844879845928700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.56000000000126 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.060000000001384 " " Order of pole (three term test) = 0.9999999999999678 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.07000000000126 " " y[1] (analytic) = 3.035353123473609 " " y[1] (numeric) = 3.0353531234724023 " " absolute error = 1.2065903831626201000000000000E-12 " " relative error = 3.975123598739041500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.57000000000126 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.070000000001194 " " Order of pole (three term test) = 1.0000000000000864 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.080000000001263 " " y[1] (analytic) = 3.0463642151162063 " " y[1] (numeric) = 3.046364215115004 " " absolute error = 1.2021494910641195000000000000E-12 " " relative error = 3.946177824368457500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.580000000001263 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.08000000000097 " " Order of pole (three term test) = 1.0000000000001794 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.090000000001265 " " y[1] (analytic) = 3.057378631226957 " " y[1] (numeric) = 3.057378631225752 " " absolute error = 1.2048140263232199000000000000E-12 " " relative error = 3.94067654564497200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.590000000001265 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.090000000001385 " " Order of pole (three term test) = 0.9999999999999074 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.100000000001266 " " y[1] (analytic) = 3.0683963707010022 " " y[1] (numeric) = 3.068396370699805 " " absolute error = 1.1972645097557688000000000000E-12 " " relative error = 3.90192258466999560000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.600000000001266 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.100000000001156 " " Order of pole (three term test) = 1.0000000000001228 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.110000000001268 " " y[1] (analytic) = 3.0794174324342656 " " y[1] (numeric) = 3.079417432433055 " " absolute error = 1.2105871860512707000000000000E-12 " " relative error = 3.931221448903427500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.610000000001268 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.110000000001246 " " Order of pole (three term test) = 1.0000000000000888 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.12000000000127 " " y[1] (analytic) = 3.090441815323345 " " y[1] (numeric) = 3.0904418153221282 " " absolute error = 1.2168044349891716000000000000E-12 " " relative error = 3.93731546394398100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.62000000000127 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.12000000000134 " " Order of pole (three term test) = 0.9999999999999144 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.13000000000127 " " y[1] (analytic) = 3.101469518265592 " " y[1] (numeric) = 3.1014695182643837 " " absolute error = 1.2083667400020204000000000000E-12 " " relative error = 3.89611032088351800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.63000000000127 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.130000000001594 " " Order of pole (three term test) = 0.9999999999997893 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.140000000001272 " " y[1] (analytic) = 3.1125005401591253 " " y[1] (numeric) = 3.112500540157911 " " absolute error = 1.2141398997300712000000000000E-12 " " relative error = 3.900850406496632600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.640000000001272 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.140000000001685 " " Order of pole (three term test) = 0.9999999999997472 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.150000000001274 " " y[1] (analytic) = 3.1235348799027527 " " y[1] (numeric) = 3.123534879901533 " " absolute error = 1.219913059458122000000000000E-12 " " relative error = 3.90555286354318700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.650000000001274 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.15000000000098 " " Order of pole (three term test) = 1.000000000000196 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.160000000001276 " " y[1] (analytic) = 3.134572536396014 " " y[1] (numeric) = 3.1345725363948005 " " absolute error = 1.2136958105202211000000000000E-12 " " relative error = 3.8719659424939400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.660000000001276 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.16000000000149 " " Order of pole (three term test) = 0.9999999999998738 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.170000000001277 " " y[1] (analytic) = 3.145613508539217 " " y[1] (numeric) = 3.1456135085379966 " " absolute error = 1.220357148667972000000000000E-12 " " relative error = 3.879552098041092500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.670000000001277 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.170000000001505 " " Order of pole (three term test) = 0.9999999999999026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.18000000000128 " " y[1] (analytic) = 3.1566577952333503 " " y[1] (numeric) = 3.1566577952321317 " " absolute error = 1.2185807918285718000000000000E-12 " " relative error = 3.860351266674094700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.68000000000128 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.180000000000945 " " Order of pole (three term test) = 1.0000000000001381 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.19000000000128 " " y[1] (analytic) = 3.167705395380164 " " y[1] (numeric) = 3.167705395378945 " " absolute error = 1.2190248810384219000000000000E-12 " " relative error = 3.848289941407647700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.69000000000128 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.19000000000121 " " Order of pole (three term test) = 0.9999999999999978 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.200000000001282 " " y[1] (analytic) = 3.178756307882118 " " y[1] (numeric) = 3.1787563078809034 " " absolute error = 1.2145839889399213000000000000E-12 " " relative error = 3.82094086900656940000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.700000000001282 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.20000000000159 " " Order of pole (three term test) = 0.9999999999997315 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.210000000001283 " " y[1] (analytic) = 3.1898105316424257 " " y[1] (numeric) = 3.1898105316412004 " " absolute error = 1.2252421299763228000000000000E-12 " " relative error = 3.84111256083115500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.710000000001283 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.210000000001266 " " Order of pole (three term test) = 1.0000000000000415 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.220000000001285 " " y[1] (analytic) = 3.2008680655649897 " " y[1] (numeric) = 3.200868065563756 " " absolute error = 1.233679824963474000000000000E-12 " " relative error = 3.854203921228210300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.720000000001285 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.2200000000014 " " Order of pole (three term test) = 0.9999999999997863 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.230000000001287 " " y[1] (analytic) = 3.2119289085544445 " " y[1] (numeric) = 3.211928908553215 " " absolute error = 1.2296830220748234000000000000E-12 " " relative error = 3.828487669200164600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.730000000001287 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.230000000001272 " " Order of pole (three term test) = 0.9999999999999803 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.240000000001288 " " y[1] (analytic) = 3.2229930595161775 " " y[1] (numeric) = 3.222993059514947 " " absolute error = 1.2305712004945235000000000000E-12 " " relative error = 3.81810068396253900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.740000000001288 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.240000000001334 " " Order of pole (three term test) = 0.9999999999999868 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.25000000000129 " " y[1] (analytic) = 3.23406051735628 " " y[1] (numeric) = 3.2340605173550463 " " absolute error = 1.233679824963474000000000000E-12 " " relative error = 3.814646690569537500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.75000000000129 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.25000000000113 " " Order of pole (three term test) = 1.0000000000000544 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.26000000000129 " " y[1] (analytic) = 3.2451312809815676 " " y[1] (numeric) = 3.24513128098033 " " absolute error = 1.2376766278521245000000000000E-12 " " relative error = 3.81394933112770600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.76000000000129 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.260000000001288 " " Order of pole (three term test) = 0.9999999999999479 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.270000000001293 " " y[1] (analytic) = 3.256205349299581 " " y[1] (numeric) = 3.2562053492983374 " " absolute error = 1.2434497875801753000000000000E-12 " " relative error = 3.81870814089671900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.770000000001293 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.270000000001232 " " Order of pole (three term test) = 1.000000000000094 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.280000000001294 " " y[1] (analytic) = 3.267282721218564 " " y[1] (numeric) = 3.2672827212173297 " " absolute error = 1.234123914173324000000000000E-12 " " relative error = 3.777218011035928000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.780000000001294 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.280000000001383 " " Order of pole (three term test) = 0.9999999999999937 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.290000000001296 " " y[1] (analytic) = 3.2783633956475278 " " y[1] (numeric) = 3.2783633956462896 " " absolute error = 1.2381207170619746000000000000E-12 " " relative error = 3.77664269527212200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.790000000001296 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.290000000001264 " " Order of pole (three term test) = 0.9999999999999825 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.300000000001297 " " y[1] (analytic) = 3.289447371496159 " " y[1] (numeric) = 3.28944737149492 " " absolute error = 1.2390088954816747000000000000E-12 " " relative error = 3.766617171680508600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.800000000001297 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.300000000001212 " " Order of pole (three term test) = 1.000000000000066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.3100000000013 " " y[1] (analytic) = 3.3005346476748905 " " y[1] (numeric) = 3.3005346476736435 " " absolute error = 1.2470025012589758000000000000E-12 " " relative error = 3.778183338076589500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.8100000000013 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.31000000000161 " " Order of pole (three term test) = 0.9999999999998295 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.3200000000013 " " y[1] (analytic) = 3.3116252230948504 " " y[1] (numeric) = 3.311625223093601 " " absolute error = 1.2492229473082261000000000000E-12 " " relative error = 3.77223527166149500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.8200000000013 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.32000000000125 " " Order of pole (three term test) = 1.0000000000000862 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.330000000001302 " " y[1] (analytic) = 3.3227190966678997 " " y[1] (numeric) = 3.322719096666653 " " absolute error = 1.2465584120491258000000000000E-12 " " relative error = 3.75162141542209700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.830000000001302 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.33000000000151 " " Order of pole (three term test) = 0.9999999999999699 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.340000000001304 " " y[1] (analytic) = 3.3338162673066236 " " y[1] (numeric) = 3.333816267305376 " " absolute error = 1.2474465904688259000000000000E-12 " " relative error = 3.74179765904325900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.840000000001304 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.340000000001393 " " Order of pole (three term test) = 0.9999999999999396 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.350000000001305 " " y[1] (analytic) = 3.344916733924318 " " y[1] (numeric) = 3.3449167339230645 " " absolute error = 1.2536638394067268000000000000E-12 " " relative error = 3.747967256380415600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.850000000001305 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.35000000000131 " " Order of pole (three term test) = 0.9999999999999624 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.360000000001307 " " y[1] (analytic) = 3.356020495434983 " " y[1] (numeric) = 3.3560204954337287 " " absolute error = 1.2541079286165768000000000000E-12 " " relative error = 3.736889957383971500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.860000000001307 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.36000000000134 " " Order of pole (three term test) = 0.9999999999998574 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.37000000000131 " " y[1] (analytic) = 3.3671275507533487 " " y[1] (numeric) = 3.367127550752094 " " absolute error = 1.2545520178264270000000000000E-12 " " relative error = 3.72588207282417300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.87000000000131 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.37000000000131 " " Order of pole (three term test) = 1.0000000000000222 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.38000000000131 " " y[1] (analytic) = 3.3782378987948576 " " y[1] (numeric) = 3.378237898793601 " " absolute error = 1.2567724638756772000000000000E-12 " " relative error = 3.720201186316731700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.88000000000131 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.38000000000153 " " Order of pole (three term test) = 0.9999999999999393 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.39000000000131 " " y[1] (analytic) = 3.389351538475662 " " y[1] (numeric) = 3.3893515384744033 " " absolute error = 1.2585488207150775000000000000E-12 " " relative error = 3.713243688145436700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.89000000000131 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.390000000001088 " " Order of pole (three term test) = 1.0000000000002167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.400000000001313 " " y[1] (analytic) = 3.4004684687126243 " " y[1] (numeric) = 3.4004684687113693 " " absolute error = 1.254996107036277000000000000E-12 " " relative error = 3.690656503900485700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.900000000001313 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.400000000001285 " " Order of pole (three term test) = 1.0000000000000293 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.410000000001315 " " y[1] (analytic) = 3.4115886884233397 " " y[1] (numeric) = 3.411588688422079 " " absolute error = 1.2607692667643278000000000000E-12 " " relative error = 3.69554885394754400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.910000000001315 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.410000000001354 " " Order of pole (three term test) = 0.9999999999999136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.420000000001316 " " y[1] (analytic) = 3.422712196526092 " " y[1] (numeric) = 3.422712196524824 " " absolute error = 1.2678746941219288000000000000E-12 " " relative error = 3.70429829130467900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.920000000001316 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.420000000001476 " " Order of pole (three term test) = 0.9999999999999855 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.430000000001318 " " y[1] (analytic) = 3.4338389919398686 " " y[1] (numeric) = 3.4338389919386083 " " absolute error = 1.2603251775544777000000000000E-12 " " relative error = 3.67030947144812400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.930000000001318 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.430000000001456 " " Order of pole (three term test) = 0.9999999999998557 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.44000000000132 " " y[1] (analytic) = 3.44496907358441 " " y[1] (numeric) = 3.444969073583145 " " absolute error = 1.2652101588628284000000000000E-12 " " relative error = 3.672631399115599500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.94000000000132 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.440000000001056 " " Order of pole (three term test) = 1.000000000000122 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.45000000000132 " " y[1] (analytic) = 3.456102440380125 " " y[1] (numeric) = 3.4561024403788574 " " absolute error = 1.2674306049120787000000000000E-12 " " relative error = 3.667225224876952700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.95000000000132 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.450000000001516 " " Order of pole (three term test) = 1.0000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.460000000001322 " " y[1] (analytic) = 3.467239091248146 " " y[1] (numeric) = 3.4672390912468787 " " absolute error = 1.2674306049120787000000000000E-12 " " relative error = 3.65544622553221570000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.960000000001322 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.460000000001592 " " Order of pole (three term test) = 0.9999999999998975 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.470000000001324 " " y[1] (analytic) = 3.478379025110325 " " y[1] (numeric) = 3.4783790251090494 " " absolute error = 1.2754242106893798000000000000E-12 " " relative error = 3.666720048281474400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.970000000001324 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.470000000001342 " " Order of pole (three term test) = 1.0000000000000666 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.480000000001326 " " y[1] (analytic) = 3.489522240889194 " " y[1] (numeric) = 3.4895222408879185 " " absolute error = 1.2754242106893798000000000000E-12 " " relative error = 3.65501098042687500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.980000000001326 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.480000000001482 " " Order of pole (three term test) = 0.9999999999998688 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.490000000001327 " " y[1] (analytic) = 3.5006687375080183 " " y[1] (numeric) = 3.5006687375067416 " " absolute error = 1.27675647831893000000000000E-12 " " relative error = 3.647178793694716400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 29.990000000001327 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.490000000001512 " " Order of pole (three term test) = 0.9999999999999559 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.50000000000133 " " y[1] (analytic) = 3.511818513890752 " " y[1] (numeric) = 3.51181851388948 " " absolute error = 1.2718714970105793000000000000E-12 " " relative error = 3.62168913905938100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.00000000000133 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.500000000001265 " " Order of pole (three term test) = 0.9999999999999079 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.51000000000133 " " y[1] (analytic) = 3.522971568962074 " " y[1] (numeric) = 3.522971568960802 " " absolute error = 1.2718714970105793000000000000E-12 " " relative error = 3.61022356301698400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.01000000000133 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.51000000000137 " " Order of pole (three term test) = 0.9999999999999748 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.520000000001332 " " y[1] (analytic) = 3.5341279016473663 " " y[1] (numeric) = 3.53412790164608 " " absolute error = 1.2865264409356314000000000000E-12 " " relative error = 3.64029394730151560000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.020000000001332 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.52000000000149 " " Order of pole (three term test) = 0.9999999999998533 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.530000000001333 " " y[1] (analytic) = 3.5452875108726722 " " y[1] (numeric) = 3.54528751087139 " " absolute error = 1.2820855488371308000000000000E-12 " " relative error = 3.61630910019352800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.030000000001333 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.53000000000138 " " Order of pole (three term test) = 0.9999999999997983 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.540000000001335 " " y[1] (analytic) = 3.556450395564802 " " y[1] (numeric) = 3.556450395563513 " " absolute error = 1.2891909761947318000000000000E-12 " " relative error = 3.624937318969676500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.040000000001335 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.540000000001374 " " Order of pole (three term test) = 0.9999999999999919 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.550000000001337 " " y[1] (analytic) = 3.567616554651213 " " y[1] (numeric) = 3.5676165546499314 " " absolute error = 1.2816414596272807000000000000E-12 " " relative error = 3.592430520472736400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.050000000001337 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.550000000001308 " " Order of pole (three term test) = 1.0000000000001104 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.560000000001338 " " y[1] (analytic) = 3.5787859870601153 " " y[1] (numeric) = 3.5787859870588306 " " absolute error = 1.2847500840962311000000000000E-12 " " relative error = 3.58990475748347800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.060000000001338 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.56000000000148 " " Order of pole (three term test) = 0.9999999999998515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.57000000000134 " " y[1] (analytic) = 3.589958691720387 " " y[1] (numeric) = 3.589958691719097 " " absolute error = 1.290079154614432000000000000E-12 " " relative error = 3.59357659905606800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.07000000000134 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.57000000000146 " " Order of pole (three term test) = 0.9999999999999022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.58000000000134 " " y[1] (analytic) = 3.6011346675616096 " " y[1] (numeric) = 3.6011346675603177 " " absolute error = 1.2918555114538322000000000000E-12 " " relative error = 3.58735684919156300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.08000000000134 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.580000000001444 " " Order of pole (three term test) = 0.9999999999999066 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.590000000001343 " " y[1] (analytic) = 3.6123139135140754 " " y[1] (numeric) = 3.612313913512781 " " absolute error = 1.2945200467129325000000000000E-12 " " relative error = 3.58363109548698540000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.090000000001343 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.590000000001364 " " Order of pole (three term test) = 1.0000000000000733 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.600000000001344 " " y[1] (analytic) = 3.6234964285087585 " " y[1] (numeric) = 3.623496428507473 " " absolute error = 1.2856382625159313000000000000E-12 " " relative error = 3.548059968821420400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.100000000001344 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.600000000001423 " " Order of pole (three term test) = 0.999999999999943 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.610000000001346 " " y[1] (analytic) = 3.6346822114773722 " " y[1] (numeric) = 3.634682211476079 " " absolute error = 1.2931877790833823000000000000E-12 " " relative error = 3.55791154175689700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.110000000001346 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.610000000001424 " " Order of pole (three term test) = 0.9999999999999436 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.620000000001347 " " y[1] (analytic) = 3.6458712613522835 " " y[1] (numeric) = 3.645871261350983 " " absolute error = 1.3002932064409833000000000000E-12 " " relative error = 3.5664814065834405000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.120000000001347 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.62000000000115 " " Order of pole (three term test) = 1.0000000000001472 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.63000000000135 " " y[1] (analytic) = 3.6570635770665625 " " y[1] (numeric) = 3.657063577065266 " " absolute error = 1.2962964035523328000000000000E-12 " " relative error = 3.54463731962825200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.13000000000135 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.63000000000138 " " Order of pole (three term test) = 0.9999999999998583 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.64000000000135 " " y[1] (analytic) = 3.6682591575540044 " " y[1] (numeric) = 3.6682591575527055 " " absolute error = 1.2989609388114332000000000000E-12 " " relative error = 3.54108279437263200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.14000000000135 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.640000000001105 " " Order of pole (three term test) = 1.0000000000002505 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.650000000001352 " " y[1] (analytic) = 3.6794580017490723 " " y[1] (numeric) = 3.6794580017477743 " " absolute error = 1.298072760391733000000000000E-12 " " relative error = 3.527891226845582500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.150000000001352 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.65000000000123 " " Order of pole (three term test) = 1.0000000000000646 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.660000000001354 " " y[1] (analytic) = 3.690660108586947 " " y[1] (numeric) = 3.6906601085856416 " " absolute error = 1.305178187749334000000000000E-12 " " relative error = 3.536435622214615400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.160000000001354 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.660000000001233 " " Order of pole (three term test) = 1.0000000000000022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.670000000001355 " " y[1] (analytic) = 3.7018654770034765 " " y[1] (numeric) = 3.701865477002171 " " absolute error = 1.305622276959184000000000000E-12 " " relative error = 3.526930638268457300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.170000000001355 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.670000000001533 " " Order of pole (three term test) = 1.0000000000000355 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.680000000001357 " " y[1] (analytic) = 3.7130741059352275 " " y[1] (numeric) = 3.713074105933919 " " absolute error = 1.3082868122182845000000000000E-12 " " relative error = 3.52346000885635600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.180000000001357 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.68000000000125 " " Order of pole (three term test) = 1.0000000000000693 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.69000000000136 " " y[1] (analytic) = 3.724285994319448 " " y[1] (numeric) = 3.7242859943181372 " " absolute error = 1.3109513474773848000000000000E-12 " " relative error = 3.52000718923558300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.19000000000136 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.690000000001476 " " Order of pole (three term test) = 1.0000000000000129 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.70000000000136 " " y[1] (analytic) = 3.735501141094076 " " y[1] (numeric) = 3.7355011410927683 " " absolute error = 1.3078427230084344000000000000E-12 " " relative error = 3.50111718243348100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.20000000000136 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.700000000001566 " " Order of pole (three term test) = 0.9999999999997582 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.71000000000136 " " y[1] (analytic) = 3.7467195451977595 " " y[1] (numeric) = 3.7467195451964472 " " absolute error = 1.312283615106935000000000000E-12 " " relative error = 3.50248690695014400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.21000000000136 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.71000000000141 " " Order of pole (three term test) = 1.000000000000087 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.720000000001363 " " y[1] (analytic) = 3.7579412055698214 " " y[1] (numeric) = 3.7579412055685 " " absolute error = 1.3211653993039363000000000000E-12 " " relative error = 3.51566277126894600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.220000000001363 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.720000000001416 " " Order of pole (three term test) = 0.9999999999999767 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.730000000001365 " " y[1] (analytic) = 3.76916612115026 " " y[1] (numeric) = 3.769166121148944 " " absolute error = 1.3158363287857355000000000000E-12 " " relative error = 3.49105421860306200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.230000000001365 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.730000000001183 " " Order of pole (three term test) = 1.0000000000001958 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.740000000001366 " " y[1] (analytic) = 3.780394290879805 " " y[1] (numeric) = 3.780394290878485 " " absolute error = 1.319833131674386000000000000E-12 " " relative error = 3.49125786920819750000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.240000000001366 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.740000000001093 " " Order of pole (three term test) = 1.0000000000002058 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.750000000001368 " " y[1] (analytic) = 3.7916257136998404 " " y[1] (numeric) = 3.7916257136985196 " " absolute error = 1.3207213100940862000000000000E-12 " " relative error = 3.48325865952980900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.250000000001368 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.750000000001577 " " Order of pole (three term test) = 0.9999999999998204 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.76000000000137 " " y[1] (analytic) = 3.8028603885524532 " " y[1] (numeric) = 3.8028603885511316 " " absolute error = 1.3216094885137863000000000000E-12 " " relative error = 3.475303727931103000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.26000000000137 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.760000000001316 " " Order of pole (three term test) = 1.0000000000000462 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.77000000000137 " " y[1] (analytic) = 3.81409831438042 " " y[1] (numeric) = 3.8140983143790934 " " absolute error = 1.326494469822137000000000000E-12 " " relative error = 3.47787172874073900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.27000000000137 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.770000000001318 " " Order of pole (three term test) = 0.9999999999999749 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.780000000001372 " " y[1] (analytic) = 3.8253394901271918 " " y[1] (numeric) = 3.825339490125865 " " absolute error = 1.326938559031987000000000000E-12 " " relative error = 3.46881253927051270000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.280000000001372 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.780000000001163 " " Order of pole (three term test) = 1.0000000000000269 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.790000000001374 " " y[1] (analytic) = 3.8365839147369236 " " y[1] (numeric) = 3.8365839147355913 " " absolute error = 1.3322676295501878000000000000E-12 " " relative error = 3.472536139331497400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.290000000001374 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.790000000001413 " " Order of pole (three term test) = 0.999999999999941 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.800000000001376 " " y[1] (analytic) = 3.847831587154424 " " y[1] (numeric) = 3.8478315871531046 " " absolute error = 1.319389042464536000000000000E-12 " " relative error = 3.42891577393661400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.300000000001376 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.8000000000014 " " Order of pole (three term test) = 0.9999999999999468 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.810000000001377 " " y[1] (analytic) = 3.8590825063252545 " " y[1] (numeric) = 3.859082506323922 " " absolute error = 1.332711718760038000000000000E-12 " " relative error = 3.453441890852677600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.310000000001377 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.81000000000165 " " Order of pole (three term test) = 0.9999999999999071 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.82000000000138 " " y[1] (analytic) = 3.870336671195581 " " y[1] (numeric) = 3.870336671194244 " " absolute error = 1.3367085216486885000000000000E-12 " " relative error = 3.45372673027891300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.32000000000138 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.82000000000145 " " Order of pole (three term test) = 0.999999999999966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.83000000000138 " " y[1] (analytic) = 3.8815940807122864 " " y[1] (numeric) = 3.881594080710957 " " absolute error = 1.3296030942910875000000000000E-12 " " relative error = 3.425404786394100600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.33000000000138 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.830000000001625 " " Order of pole (three term test) = 0.9999999999998604 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.840000000001382 " " y[1] (analytic) = 3.892854733822965 " " y[1] (numeric) = 3.8928547338216286 " " absolute error = 1.3362644324388384000000000000E-12 " " relative error = 3.432608005710411400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.340000000001382 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.840000000001588 " " Order of pole (three term test) = 0.9999999999998991 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.850000000001383 " " y[1] (analytic) = 3.9041186294758425 " " y[1] (numeric) = 3.9041186294745103 " " absolute error = 1.3322676295501878000000000000E-12 " " relative error = 3.412467078975658400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.350000000001383 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.8500000000012 " " Order of pole (three term test) = 1.0000000000001135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.860000000001385 " " y[1] (analytic) = 3.9153857666198775 " " y[1] (numeric) = 3.9153857666185345 " " absolute error = 1.3429257705865894000000000000E-12 " " relative error = 3.429868346653175400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.360000000001385 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.860000000001595 " " Order of pole (three term test) = 0.9999999999997303 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.870000000001387 " " y[1] (analytic) = 3.92665614420466 " " y[1] (numeric) = 3.9266561442033154 " " absolute error = 1.3447021274259896000000000000E-12 " " relative error = 3.424547701765613400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.370000000001387 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.870000000001617 " " Order of pole (three term test) = 0.9999999999999165 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.880000000001388 " " y[1] (analytic) = 3.9379297611804915 " " y[1] (numeric) = 3.9379297611791473 " " absolute error = 1.3442580382161395000000000000E-12 " " relative error = 3.41361608697958400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.380000000001388 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.880000000001424 " " Order of pole (three term test) = 0.9999999999999327 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.89000000000139 " " y[1] (analytic) = 3.949206616498355 " " y[1] (numeric) = 3.9492066164970048 " " absolute error = 1.3500311979441904000000000000E-12 " " relative error = 3.41848712676680200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.39000000000139 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.89000000000159 " " Order of pole (three term test) = 0.9999999999999135 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.90000000000139 " " y[1] (analytic) = 3.9604867091098797 " " y[1] (numeric) = 3.960486709108541 " " absolute error = 1.3384848784880887000000000000E-12 " " relative error = 3.37959694552014700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.40000000000139 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.900000000001356 " " Order of pole (three term test) = 0.9999999999999674 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.910000000001393 " " y[1] (analytic) = 3.9717700379674348 " " y[1] (numeric) = 3.9717700379660887 " " absolute error = 1.3460343950555398000000000000E-12 " " relative error = 3.3890038501432900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.410000000001393 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.91000000000142 " " Order of pole (three term test) = 0.9999999999999857 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.920000000001394 " " y[1] (analytic) = 3.983056602024014 " " y[1] (numeric) = 3.983056602022658 " " absolute error = 1.3562484468820912000000000000E-12 " " relative error = 3.40504437268831560000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.420000000001394 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.920000000001018 " " Order of pole (three term test) = 1.0000000000001614 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.930000000001396 " " y[1] (analytic) = 3.9943464002332867 " " y[1] (numeric) = 3.9943464002319353 " " absolute error = 1.3513634655737405000000000000E-12 " " relative error = 3.383190465140467600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.430000000001396 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.930000000001463 " " Order of pole (three term test) = 0.9999999999999412 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.940000000001397 " " y[1] (analytic) = 4.005639431549646 " " y[1] (numeric) = 4.005639431548285 " " absolute error = 1.361577517400292000000000000E-12 " " relative error = 3.39915147298603400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.440000000001397 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.94000000000135 " " Order of pole (three term test) = 0.9999999999999256 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.9500000000014 " " y[1] (analytic) = 4.0169356949281045 " " y[1] (numeric) = 4.016935694926746 " " absolute error = 1.3589129821411916000000000000E-12 " " relative error = 3.38295926384132300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.4500000000014 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.950000000001566 " " Order of pole (three term test) = 0.9999999999999651 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.9600000000014 " " y[1] (analytic) = 4.028235189324391 " " y[1] (numeric) = 4.028235189323034 " " absolute error = 1.3571366253017914000000000000E-12 " " relative error = 3.369060051157062300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.4600000000014 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.96000000000146 " " Order of pole (three term test) = 0.9999999999999178 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.970000000001402 " " y[1] (analytic) = 4.039537913694904 " " y[1] (numeric) = 4.039537913693539 " " absolute error = 1.3651302310790925000000000000E-12 " " relative error = 3.37942175626327670000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.470000000001402 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.970000000001487 " " Order of pole (three term test) = 0.9999999999999251 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.980000000001404 " " y[1] (analytic) = 4.050843866996680 " " y[1] (numeric) = 4.050843866995323 " " absolute error = 1.3562484468820912000000000000E-12 " " relative error = 3.348063987189963700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.480000000001404 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.98000000000149 " " Order of pole (three term test) = 1.0000000000000708 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 28.990000000001405 " " y[1] (analytic) = 4.062153048187486 " " y[1] (numeric) = 4.062153048186124 " " absolute error = 1.3624656958199920000000000000E-12 " " relative error = 3.35404816031714500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.490000000001405 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 30.99000000000118 " " Order of pole (three term test) = 1.000000000000085 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.000000000001407 " " y[1] (analytic) = 4.073465456225712 " " y[1] (numeric) = 4.073465456224351 " " absolute error = 1.3606893389805919000000000000E-12 " " relative error = 3.34037284371952100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.500000000001407 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.000000000001528 " " Order of pole (three term test) = 0.9999999999998211 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.01000000000141 " " y[1] (analytic) = 4.084781090070454 " " y[1] (numeric) = 4.084781090069086 " " absolute error = 1.3677947663381929000000000000E-12 " " relative error = 3.348514243916560500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.51000000000141 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.01000000000135 " " Order of pole (three term test) = 0.9999999999999714 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.02000000000141 " " y[1] (analytic) = 4.096099948681456 " " y[1] (numeric) = 4.096099948680080 " " absolute error = 1.3749001936957939000000000000E-12 " " relative error = 3.35660801963188760000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.52000000000141 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.020000000001417 " " Order of pole (three term test) = 0.9999999999999302 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.03000000000141 " " y[1] (analytic) = 4.10742203101913 " " y[1] (numeric) = 4.10742203101776 " " absolute error = 1.3704593015972932000000000000E-12 " " relative error = 3.33654367933858500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.53000000000141 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.03000000000159 " " Order of pole (three term test) = 0.9999999999998818 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.040000000001413 " " y[1] (analytic) = 4.118747336044592 " " y[1] (numeric) = 4.118747336043216 " " absolute error = 1.375788372115494000000000000E-12 " " relative error = 3.340307768032991000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.540000000001413 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.040000000001513 " " Order of pole (three term test) = 0.9999999999999121 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.050000000001415 " " y[1] (analytic) = 4.13007586271959 " " y[1] (numeric) = 4.130075862718213 " " absolute error = 1.3766765505351940000000000000E-12 " " relative error = 3.333296036912683500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.550000000001415 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.050000000001397 " " Order of pole (three term test) = 1.0000000000000346 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.060000000001416 " " y[1] (analytic) = 4.141407610006553 " " y[1] (numeric) = 4.1414076100051815 " " absolute error = 1.3713474800169934000000000000E-12 " " relative error = 3.311307673998366600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.560000000001416 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.06000000000151 " " Order of pole (three term test) = 1.0000000000000167 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.070000000001418 " " y[1] (analytic) = 4.152742576868600 " " y[1] (numeric) = 4.1527425768672215 " " absolute error = 1.3793410857942945000000000000E-12 " " relative error = 3.3215183948011400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.570000000001418 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.070000000001425 " " Order of pole (three term test) = 1.0000000000000093 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.08000000000142 " " y[1] (analytic) = 4.164080762269485 " " y[1] (numeric) = 4.1640807622681 " " absolute error = 1.3846701563124952000000000000E-12 " " relative error = 3.32527209572618800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.58000000000142 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.08000000000132 " " Order of pole (three term test) = 1.0000000000000462 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.09000000000142 " " y[1] (analytic) = 4.175422165173640 " " y[1] (numeric) = 4.175422165172253 " " absolute error = 1.3864465131518955000000000000E-12 " " relative error = 3.32049421185711070000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.59000000000142 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.090000000001467 " " Order of pole (three term test) = 1.0000000000000382 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.100000000001423 " " y[1] (analytic) = 4.186766784546158 " " y[1] (numeric) = 4.186766784544778 " " absolute error = 1.3802292642139946000000000000E-12 " " relative error = 3.29664711516433400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.600000000001423 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.10000000000145 " " Order of pole (three term test) = 0.9999999999999764 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.110000000001424 " " y[1] (analytic) = 4.198114619352825 " " y[1] (numeric) = 4.1981146193514425 " " absolute error = 1.382893799473095000000000000E-12 " " relative error = 3.294082998825505500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.610000000001424 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.110000000001307 " " Order of pole (three term test) = 1.0000000000000735 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.120000000001426 " " y[1] (analytic) = 4.209465668560071 " " y[1] (numeric) = 4.209465668558677 " " absolute error = 1.3944401189291966000000000000E-12 " " relative error = 3.31262974620289900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.620000000001426 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.12000000000137 " " Order of pole (three term test) = 0.9999999999999486 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.130000000001427 " " y[1] (analytic) = 4.220819931134965 " " y[1] (numeric) = 4.220819931133575 " " absolute error = 1.389999226830696000000000000E-12 " " relative error = 3.29319717379397860000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.630000000001427 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.130000000001342 " " Order of pole (three term test) = 1.0000000000000966 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.14000000000143 " " y[1] (analytic) = 4.232177406045288 " " y[1] (numeric) = 4.232177406043897 " " absolute error = 1.3908874052503960000000000000E-12 " " relative error = 3.286458179337277700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.64000000000143 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.140000000001493 " " Order of pole (three term test) = 0.9999999999998938 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.15000000000143 " " y[1] (analytic) = 4.24353809225946 " " y[1] (numeric) = 4.243538092258063 " " absolute error = 1.3962164757685970000000000000E-12 " " relative error = 3.290217845140599500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.65000000000143 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.150000000001498 " " Order of pole (three term test) = 0.9999999999999549 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.160000000001432 " " y[1] (analytic) = 4.254901988746553 " " y[1] (numeric) = 4.254901988745158 " " absolute error = 1.3953282973488967000000000000E-12 " " relative error = 3.279342981434796300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.660000000001432 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.160000000001492 " " Order of pole (three term test) = 0.9999999999999405 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.170000000001433 " " y[1] (analytic) = 4.266269094476325 " " y[1] (numeric) = 4.266269094474927 " " absolute error = 1.3979928326079970000000000000E-12 " " relative error = 3.276851041623284300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.670000000001433 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.17000000000118 " " Order of pole (three term test) = 1.0000000000001317 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.180000000001435 " " y[1] (analytic) = 4.2776394084191764 " " y[1] (numeric) = 4.277639408417776 " " absolute error = 1.4006573678670975000000000000E-12 " " relative error = 3.27436988987512100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.680000000001435 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.180000000001346 " " Order of pole (three term test) = 1.0000000000000115 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.190000000001437 " " y[1] (analytic) = 4.289012929546171 " " y[1] (numeric) = 4.289012929544772 " " absolute error = 1.3988810110276972000000000000E-12 " " relative error = 3.26154533457122360000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.690000000001437 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.190000000001504 " " Order of pole (three term test) = 0.9999999999998904 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.200000000001438 " " y[1] (analytic) = 4.300389656829033 " " y[1] (numeric) = 4.300389656827643 " " absolute error = 1.389999226830696000000000000E-12 " " relative error = 3.2322634406474600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.700000000001438 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.200000000001335 " " Order of pole (three term test) = 0.99999999999999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.21000000000144 " " y[1] (analytic) = 4.311769589240175 " " y[1] (numeric) = 4.311769589238773 " " absolute error = 1.4015455462867976000000000000E-12 " " relative error = 3.25051122811453260000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.71000000000144 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.210000000001394 " " Order of pole (three term test) = 1.0000000000000269 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.22000000000144 " " y[1] (analytic) = 4.323152725752614 " " y[1] (numeric) = 4.323152725751208 " " absolute error = 1.4059864383852982000000000000E-12 " " relative error = 3.25222477107960930000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.72000000000144 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.220000000001182 " " Order of pole (three term test) = 1.0000000000001792 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.230000000001443 " " y[1] (analytic) = 4.334539065340050 " " y[1] (numeric) = 4.3345390653386495 " " absolute error = 1.3997691894473974000000000000E-12 " " relative error = 3.22933804113167900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.730000000001443 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.230000000001688 " " Order of pole (three term test) = 0.9999999999998486 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.240000000001444 " " y[1] (analytic) = 4.345928606976862 " " y[1] (numeric) = 4.345928606975457 " " absolute error = 1.4050982599655980000000000000E-12 " " relative error = 3.233137004850662000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.740000000001444 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.24000000000148 " " Order of pole (three term test) = 1.0000000000000515 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.250000000001446 " " y[1] (analytic) = 4.35732134963806 " " y[1] (numeric) = 4.357321349636647 " " absolute error = 1.4122036873231990000000000000E-12 " " relative error = 3.24099044804327700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.750000000001446 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.25000000000154 " " Order of pole (three term test) = 0.9999999999998306 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.260000000001448 " " y[1] (analytic) = 4.368717292299301 " " y[1] (numeric) = 4.368717292297892 " " absolute error = 1.4095391520640987000000000000E-12 " " relative error = 3.226437092985350300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.760000000001448 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.260000000001472 " " Order of pole (three term test) = 0.9999999999998416 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.27000000000145 " " y[1] (analytic) = 4.380116433936937 " " y[1] (numeric) = 4.380116433935519 " " absolute error = 1.4184209362611000000000000E-12 " " relative error = 3.238317879568773400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.77000000000145 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.270000000001346 " " Order of pole (three term test) = 0.9999999999999045 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.28000000000145 " " y[1] (analytic) = 4.3915187735279275 " " y[1] (numeric) = 4.39151877352651 " " absolute error = 1.4175327578414000000000000000E-12 " " relative error = 3.22788727760037500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.78000000000145 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.28000000000129 " " Order of pole (three term test) = 1.0000000000001106 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.290000000001452 " " y[1] (analytic) = 4.402924310049915 " " y[1] (numeric) = 4.402924310048502 " " absolute error = 1.4130918657428992000000000000E-12 " " relative error = 3.20943937763690400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.790000000001452 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.290000000001523 " " Order of pole (three term test) = 0.9999999999999544 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.300000000001454 " " y[1] (analytic) = 4.414333042481196 " " y[1] (numeric) = 4.414333042479785 " " absolute error = 1.411315508903499000000000000E-12 " " relative error = 3.19712059629789600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.800000000001454 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.30000000000134 " " Order of pole (three term test) = 1.0000000000000782 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.310000000001455 " " y[1] (analytic) = 4.425744969800721 " " y[1] (numeric) = 4.425744969799301 " " absolute error = 1.4201972931005002000000000000E-12 " " relative error = 3.20894516695219230000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.810000000001455 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.31000000000138 " " Order of pole (three term test) = 1.0000000000000189 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.320000000001457 " " y[1] (analytic) = 4.437160090988073 " " y[1] (numeric) = 4.437160090986645 " " absolute error = 1.4273027204581012000000000000E-12 " " relative error = 3.2167032317742394000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.820000000001457 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.320000000001226 " " Order of pole (three term test) = 1.0000000000001719 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.33000000000146 " " y[1] (analytic) = 4.448578405023486 " " y[1] (numeric) = 4.448578405022064 " " absolute error = 1.4219736499399005000000000000E-12 " " relative error = 3.19646754642822400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.83000000000146 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.33000000000153 " " Order of pole (three term test) = 0.9999999999999798 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.34000000000146 " " y[1] (analytic) = 4.4599999108878805 " " y[1] (numeric) = 4.459999910886455 " " absolute error = 1.425526363618701000000000000E-12 " " relative error = 3.196247515921838400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.84000000000146 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.340000000001478 " " Order of pole (three term test) = 1.0000000000000697 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.35000000000146 " " y[1] (analytic) = 4.471424607562785 " " y[1] (numeric) = 4.4714246075613655 " " absolute error = 1.4193091146808000000000000000E-12 " " relative error = 3.17417655277076270000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.85000000000146 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.350000000001454 " " Order of pole (three term test) = 0.9999999999999745 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.360000000001463 " " y[1] (analytic) = 4.482852494030425 " " y[1] (numeric) = 4.482852494028994 " " absolute error = 1.4308554341369017000000000000E-12 " " relative error = 3.19184143587658900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.860000000001463 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.360000000001552 " " Order of pole (three term test) = 0.9999999999999317 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.370000000001465 " " y[1] (analytic) = 4.494283569273616 " " y[1] (numeric) = 4.494283569272187 " " absolute error = 1.4290790772975015000000000000E-12 " " relative error = 3.179770602522250500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.870000000001465 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.370000000001564 " " Order of pole (three term test) = 0.9999999999999358 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.380000000001466 " " y[1] (analytic) = 4.50571783227587 " " y[1] (numeric) = 4.505717832274440 " " absolute error = 1.4308554341369017000000000000E-12 " " relative error = 3.175643676324414500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.880000000001466 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.38000000000148 " " Order of pole (three term test) = 1.000000000000043 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.390000000001468 " " y[1] (analytic) = 4.517155282021324 " " y[1] (numeric) = 4.5171552820198935 " " absolute error = 1.4308554341369017000000000000E-12 " " relative error = 3.167602937698052000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.890000000001468 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.390000000001578 " " Order of pole (three term test) = 0.9999999999998791 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.40000000000147 " " y[1] (analytic) = 4.528595917494770 " " y[1] (numeric) = 4.528595917493341 " " absolute error = 1.4281908988778014000000000000E-12 " " relative error = 3.15371679190993070000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.90000000000147 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.40000000000152 " " Order of pole (three term test) = 0.9999999999998999 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.41000000000147 " " y[1] (analytic) = 4.540039737681650 " " y[1] (numeric) = 4.5400397376802175 " " absolute error = 1.4317436125566020000000000000E-12 " " relative error = 3.15359268922988600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.91000000000147 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.410000000001492 " " Order of pole (three term test) = 1.0000000000000524 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.420000000001473 " " y[1] (analytic) = 4.5514867415680484 " " y[1] (numeric) = 4.551486741566607 " " absolute error = 1.4415135751733033000000000000E-12 " " relative error = 3.167126824754152000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.920000000001473 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.4200000000016 " " Order of pole (three term test) = 0.9999999999999186 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.430000000001474 " " y[1] (analytic) = 4.562936928140676 " " y[1] (numeric) = 4.562936928139237 " " absolute error = 1.4388490399142030000000000000E-12 " " relative error = 3.153339751510680400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.930000000001474 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.43000000000172 " " Order of pole (three term test) = 0.9999999999999246 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.440000000001476 " " y[1] (analytic) = 4.574390296386923 " " y[1] (numeric) = 4.574390296385482 " " absolute error = 1.4415135751733033000000000000E-12 " " relative error = 3.151269309730481700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.940000000001476 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.440000000001547 " " Order of pole (three term test) = 1.000000000000018 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.450000000001477 " " y[1] (analytic) = 4.5858468452948 " " y[1] (numeric) = 4.585846845293357 " " absolute error = 1.4424017535930034000000000000E-12 " " relative error = 3.14533346239625500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.950000000001477 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.450000000001253 " " Order of pole (three term test) = 1.0000000000001756 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.46000000000148 " " y[1] (analytic) = 4.5973065738529755 " " y[1] (numeric) = 4.597306573851525 " " absolute error = 1.4503953593703045000000000000E-12 " " relative error = 3.15488065907846700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.96000000000148 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.460000000001294 " " Order of pole (three term test) = 1.000000000000069 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.47000000000148 " " y[1] (analytic) = 4.608769481050732 " " y[1] (numeric) = 4.608769481049288 " " absolute error = 1.4441781104324036000000000000E-12 " " relative error = 3.13354381548098600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.97000000000148 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.470000000001452 " " Order of pole (three term test) = 0.9999999999999614 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.480000000001482 " " y[1] (analytic) = 4.6202355658780405 " " y[1] (numeric) = 4.620235565876594 " " absolute error = 1.446842645691504000000000000E-12 " " relative error = 3.13153436672561200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.980000000001482 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.480000000001386 " " Order of pole (three term test) = 1.0000000000000862 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.490000000001483 " " y[1] (analytic) = 4.631704827325482 " " y[1] (numeric) = 4.631704827324029 " " absolute error = 1.4530598946294050000000000000E-12 " " relative error = 3.13720314398457800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 30.990000000001483 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.49000000000156 " " Order of pole (three term test) = 0.9999999999999457 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.500000000001485 " " y[1] (analytic) = 4.6431772643842635 " " y[1] (numeric) = 4.643177264382822 " " absolute error = 1.4415135751733033000000000000E-12 " " relative error = 3.10458441083115500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.000000000001485 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.500000000001627 " " Order of pole (three term test) = 0.9999999999999627 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.510000000001487 " " y[1] (analytic) = 4.6546528760462955 " " y[1] (numeric) = 4.654652876044843 " " absolute error = 1.4521717162097048000000000000E-12 " " relative error = 3.11982816953515200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.010000000001487 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.510000000001373 " " Order of pole (three term test) = 1.0000000000000664 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.520000000001488 " " y[1] (analytic) = 4.666131661304064 " " y[1] (numeric) = 4.666131661302602 " " absolute error = 1.4619416788264060000000000000E-12 " " relative error = 3.13309135905914640000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.020000000001488 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.520000000001403 " " Order of pole (three term test) = 1.0000000000000473 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.53000000000149 " " y[1] (analytic) = 4.677613619150701 " " y[1] (numeric) = 4.677613619149247 " " absolute error = 1.4548362514688050000000000000E-12 " " relative error = 3.1102103976962403000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.03000000000149 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.530000000001312 " " Order of pole (three term test) = 1.000000000000005 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.54000000000149 " " y[1] (analytic) = 4.689098748580022 " " y[1] (numeric) = 4.689098748578564 " " absolute error = 1.4583889651476056000000000000E-12 " " relative error = 3.110169018277217400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.04000000000149 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.540000000001488 " " Order of pole (three term test) = 1.0000000000000102 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.550000000001493 " " y[1] (analytic) = 4.7005870485864385 " " y[1] (numeric) = 4.700587048584980 " " absolute error = 1.4592771435673058000000000000E-12 " " relative error = 3.104457227328956700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.050000000001493 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.55000000000143 " " Order of pole (three term test) = 1.0000000000000064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.560000000001494 " " y[1] (analytic) = 4.712078518165022 " " y[1] (numeric) = 4.712078518163556 " " absolute error = 1.4663825709249068000000000000E-12 " " relative error = 3.111965484598812600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.060000000001494 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.56000000000146 " " Order of pole (three term test) = 1.0000000000000353 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.570000000001496 " " y[1] (analytic) = 4.723573156311456 " " y[1] (numeric) = 4.7235731563099925 " " absolute error = 1.4637180356658064000000000000E-12 " " relative error = 3.098751701791774000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.070000000001496 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.570000000001333 " " Order of pole (three term test) = 1.0000000000000866 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.580000000001498 " " y[1] (analytic) = 4.7350709620220925 " " y[1] (numeric) = 4.735070962020625 " " absolute error = 1.4672707493446070000000000000E-12 " " relative error = 3.0987302220239904000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.080000000001498 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.580000000001537 " " Order of pole (three term test) = 1.000000000000013 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.5900000000015 " " y[1] (analytic) = 4.746571934293893 " " y[1] (numeric) = 4.746571934292426 " " absolute error = 1.4672707493446070000000000000E-12 " " relative error = 3.09122198010653400000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.0900000000015 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.590000000001755 " " Order of pole (three term test) = 0.9999999999998067 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.6000000000015 " " y[1] (analytic) = 4.75807607212446 " " y[1] (numeric) = 4.758076072123 " " absolute error = 1.4601653219870060000000000000E-12 " " relative error = 3.06881457936642100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.1000000000015 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.60000000000143 " " Order of pole (three term test) = 1.0000000000001004 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.610000000001502 " " y[1] (analytic) = 4.769583374512063 " " y[1] (numeric) = 4.769583374510589 " " absolute error = 1.4743761767022080000000000000E-12 " " relative error = 3.09120537567505900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.110000000001502 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.610000000001627 " " Order of pole (three term test) = 0.9999999999998967 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.620000000001504 " " y[1] (analytic) = 4.781093840455547 " " y[1] (numeric) = 4.7810938404540675 " " absolute error = 1.4797052472204086000000000000E-12 " " relative error = 3.09490944247900630000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.120000000001504 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.620000000001546 " " Order of pole (three term test) = 0.9999999999999546 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.630000000001505 " " y[1] (analytic) = 4.792607468954419 " " y[1] (numeric) = 4.792607468952943 " " absolute error = 1.475264355121908000000000000E-12 " " relative error = 3.07820818766899700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.130000000001505 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.63000000000173 " " Order of pole (three term test) = 0.9999999999998461 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.640000000001507 " " y[1] (analytic) = 4.80412425900883 " " y[1] (numeric) = 4.804124259007358 " " absolute error = 1.4725998198628076000000000000E-12 " " relative error = 3.06528253739762600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.140000000001507 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.64000000000149 " " Order of pole (three term test) = 0.9999999999999679 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.65000000000151 " " y[1] (analytic) = 4.81564420961956 " " y[1] (numeric) = 4.815644209618082 " " absolute error = 1.4779288903810084000000000000E-12 " " relative error = 3.069015953107063000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.15000000000151 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.650000000001558 " " Order of pole (three term test) = 0.9999999999999589 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.66000000000151 " " y[1] (analytic) = 4.827167319787996 " " y[1] (numeric) = 4.827167319786521 " " absolute error = 1.475264355121908000000000000E-12 " " relative error = 3.056169917861268300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.16000000000151 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.660000000001656 " " Order of pole (three term test) = 0.9999999999998915 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.67000000000151 " " y[1] (analytic) = 4.83869358851619 " " y[1] (numeric) = 4.838693588514709 " " absolute error = 1.4805934256401088000000000000E-12 " " relative error = 3.05990325395690200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.17000000000151 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.670000000001405 " " Order of pole (three term test) = 1.000000000000136 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.680000000001513 " " y[1] (analytic) = 4.850223014806794 " " y[1] (numeric) = 4.850223014805311 " " absolute error = 1.482369782479509000000000000E-12 " " relative error = 3.05629200544824500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.180000000001513 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.68000000000147 " " Order of pole (three term test) = 0.9999999999999933 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.690000000001515 " " y[1] (analytic) = 4.861755597663109 " " y[1] (numeric) = 4.861755597661623 " " absolute error = 1.4859224961583095000000000000E-12 " " relative error = 3.056349638127728000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.190000000001515 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.69000000000166 " " Order of pole (three term test) = 0.9999999999998985 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.700000000001516 " " y[1] (analytic) = 4.8732913360890535 " " y[1] (numeric) = 4.873291336087568 " " absolute error = 1.4859224961583095000000000000E-12 " " relative error = 3.04911484596527670000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.200000000001516 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.70000000000124 " " Order of pole (three term test) = 1.000000000000022 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.710000000001518 " " y[1] (analytic) = 4.884830229089186 " " y[1] (numeric) = 4.884830229087696 " " absolute error = 1.48947520983711000000000000E-12 " " relative error = 3.04918521214366600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.210000000001518 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.71000000000142 " " Order of pole (three term test) = 1.0000000000000053 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.72000000000152 " " y[1] (analytic) = 4.896372275668690 " " y[1] (numeric) = 4.89637227566719 " " absolute error = 1.4992451724538114000000000000E-12 " " relative error = 3.06195094663030300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.22000000000152 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.720000000001413 " " Order of pole (three term test) = 1.0000000000000866 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.73000000000152 " " y[1] (analytic) = 4.907917474833350 " " y[1] (numeric) = 4.907917474831856 " " absolute error = 1.4948042803553108000000000000E-12 " " relative error = 3.04569970465134450000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.23000000000152 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.73000000000122 " " Order of pole (three term test) = 1.0000000000002394 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.740000000001523 " " y[1] (analytic) = 4.919465825589626 " " y[1] (numeric) = 4.919465825588127 " " absolute error = 1.4983569940341113000000000000E-12 " " relative error = 3.04577173041856550000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.240000000001523 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.74000000000127 " " Order of pole (three term test) = 1.000000000000149 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.750000000001524 " " y[1] (analytic) = 4.931017326944566 " " y[1] (numeric) = 4.931017326943065 " " absolute error = 1.5010215292932116000000000000E-12 " " relative error = 3.04404026546647300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.250000000001524 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.75000000000155 " " Order of pole (three term test) = 1.000000000000026 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.760000000001526 " " y[1] (analytic) = 4.942571977905857 " " y[1] (numeric) = 4.942571977904354 " " absolute error = 1.5027978861326120000000000000E-12 " " relative error = 3.04051795876797700000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.260000000001526 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.760000000001817 " " Order of pole (three term test) = 0.9999999999998166 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.770000000001527 " " y[1] (analytic) = 4.954129777481807 " " y[1] (numeric) = 4.954129777480305 " " absolute error = 1.5019097077129118000000000000E-12 " " relative error = 3.031631739926553500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.270000000001527 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.77000000000114 " " Order of pole (three term test) = 1.0000000000003064 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.78000000000153 " " y[1] (analytic) = 4.965690724681359 " " y[1] (numeric) = 4.965690724679852 " " absolute error = 1.5072387782311125000000000000E-12 " " relative error = 3.03530538206813100000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.28000000000153 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.780000000001298 " " Order of pole (three term test) = 1.0000000000001263 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.79000000000153 " " y[1] (analytic) = 4.977254818514059 " " y[1] (numeric) = 4.977254818512553 " " absolute error = 1.5054624213917123000000000000E-12 " " relative error = 3.024684241184104600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.29000000000153 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.790000000001754 " " Order of pole (three term test) = 0.9999999999998944 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.800000000001532 " " y[1] (analytic) = 4.988822057990092 " " y[1] (numeric) = 4.988822057988590 " " absolute error = 1.5010215292932116000000000000E-12 " " relative error = 3.00876942862529500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.300000000001532 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.800000000001244 " " Order of pole (three term test) = 1.0000000000001215 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.810000000001533 " " y[1] (analytic) = 5.000392442120276 " " y[1] (numeric) = 5.000392442118768 " " absolute error = 1.5081269566508126000000000000E-12 " " relative error = 3.01601719086539040000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.310000000001533 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.81000000000165 " " Order of pole (three term test) = 1.000000000000051 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.820000000001535 " " y[1] (analytic) = 5.011965969916027 " " y[1] (numeric) = 5.0119659699145105 " " absolute error = 1.5161205624281138000000000000E-12 " " relative error = 3.025001708967141600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.320000000001535 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.820000000001592 " " Order of pole (three term test) = 1.0000000000000555 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.830000000001537 " " y[1] (analytic) = 5.023542640389383 " " y[1] (numeric) = 5.023542640387866 " " absolute error = 1.5170087408478140000000000000E-12 " " relative error = 3.01979867484558300000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.330000000001537 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.83000000000174 " " Order of pole (three term test) = 0.9999999999999147 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.840000000001538 " " y[1] (analytic) = 5.0351224525530185 " " y[1] (numeric) = 5.035122452551503 " " absolute error = 1.5152323840084136000000000000E-12 " " relative error = 3.00932578757866600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.340000000001538 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.840000000001783 " " Order of pole (three term test) = 0.9999999999999493 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.85000000000154 " " y[1] (analytic) = 5.046705405420223 " " y[1] (numeric) = 5.0467054054187095 " " absolute error = 1.5134560271690134000000000000E-12 " " relative error = 2.99889909473127440000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.35000000000154 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.850000000001653 " " Order of pole (three term test) = 0.99999999999995 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.86000000000154 " " y[1] (analytic) = 5.0582914980049125 " " y[1] (numeric) = 5.058291498003393 " " absolute error = 1.5196732761069143000000000000E-12 " " relative error = 3.00432127469581870000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.36000000000154 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.860000000001634 " " Order of pole (three term test) = 0.9999999999998632 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.870000000001543 " " y[1] (analytic) = 5.0698807293216 " " y[1] (numeric) = 5.06988072932008 " " absolute error = 1.5196732761069143000000000000E-12 " " relative error = 2.99745370205239840000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.370000000001543 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.870000000001305 " " Order of pole (three term test) = 1.000000000000069 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.880000000001544 " " y[1] (analytic) = 5.0814730983854375 " " y[1] (numeric) = 5.081473098383916 " " absolute error = 1.5214496329463145000000000000E-12 " " relative error = 2.99411136001041200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.380000000001544 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.880000000001477 " " Order of pole (three term test) = 1.0000000000000706 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.890000000001546 " " y[1] (analytic) = 5.093068604212188 " " y[1] (numeric) = 5.093068604210664 " " absolute error = 1.5241141682054150000000000000E-12 " " relative error = 2.992526287481983600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.390000000001546 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.890000000001635 " " Order of pole (three term test) = 1.0000000000000266 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.900000000001548 " " y[1] (analytic) = 5.104667245818227 " " y[1] (numeric) = 5.104667245816705 " " absolute error = 1.5223378113660146000000000000E-12 " " relative error = 2.982246908675825000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.400000000001548 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.900000000001633 " " Order of pole (three term test) = 0.9999999999999909 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.91000000000155 " " y[1] (analytic) = 5.1162690222205605 " " y[1] (numeric) = 5.1162690222190355 " " absolute error = 1.525002346625115000000000000E-12 " " relative error = 2.980692258366105500000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.41000000000155 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.910000000001336 " " Order of pole (three term test) = 1.0000000000000229 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.92000000000155 " " y[1] (analytic) = 5.127873932436799 " " y[1] (numeric) = 5.127873932435269 " " absolute error = 1.5303314171433158000000000000E-12 " " relative error = 2.98433900151693600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.42000000000155 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.92000000000167 " " Order of pole (three term test) = 0.9999999999999002 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.930000000001552 " " y[1] (analytic) = 5.139481975485165 " " y[1] (numeric) = 5.139481975483633 " " absolute error = 1.531219595563016000000000000E-12 " " relative error = 2.97932671593515900000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.430000000001552 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.93000000000176 " " Order of pole (three term test) = 0.999999999999874 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.940000000001554 " " y[1] (analytic) = 5.151093150384504 " " y[1] (numeric) = 5.151093150382973 " " absolute error = 1.531219595563016000000000000E-12 " " relative error = 2.97261096015846200000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.440000000001554 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.940000000001746 " " Order of pole (three term test) = 0.9999999999997896 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.950000000001555 " " y[1] (analytic) = 5.162707456154276 " " y[1] (numeric) = 5.162707456152746 " " absolute error = 1.5303314171433158000000000000E-12 " " relative error = 2.96420324052850070000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.450000000001555 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.950000000001637 " " Order of pole (three term test) = 0.9999999999999554 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.960000000001557 " " y[1] (analytic) = 5.174324891814557 " " y[1] (numeric) = 5.174324891813024 " " absolute error = 1.5329959524024162000000000000E-12 " " relative error = 2.962697519878420600000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.460000000001557 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.960000000001777 " " Order of pole (three term test) = 1. " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.97000000000156 " " y[1] (analytic) = 5.185945456386026 " " y[1] (numeric) = 5.185945456384491 " " absolute error = 1.5347723092418164000000000000E-12 " " relative error = 2.95948409436486150000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.47000000000156 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.970000000001583 " " Order of pole (three term test) = 0.9999999999999237 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.98000000000156 " " y[1] (analytic) = 5.19756914888999 " " y[1] (numeric) = 5.197569148888447 " " absolute error = 1.5427659150191175000000000000E-12 " " relative error = 2.968245098477614000000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.48000000000156 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.98000000000164 " " Order of pole (three term test) = 0.9999999999999378 " " "NO COMPLEX POLE (six term test) for Equation 1" " " "TOP MAIN SOLVE Loop" x[1] = 29.99000000000156 " " y[1] (analytic) = 5.209195968348343 " " y[1] (numeric) = 5.209195968346800 " " absolute error = 1.5436540934388177000000000000E-12 " " relative error = 2.96332505595533800000000000E-11 "%" Correct digits = 14 h = 1.00E-2 " " Radius of convergence (given) for eq 1 = 31.49000000000156 " " Order of pole (given) = 1. " " "NO POLE (ratio test) for Equation 1" Radius of convergence (three term test) for eq 1 = 31.990000000001512 " " Order of pole (three term test) = 0.9999999999999624 " " "NO COMPLEX POLE (six term test) for Equation 1" "Finished!" "diff ( y , x , 1 ) = ln ( 0.1 * x + 0.2 ) ; " Iterations = 1000 "Total Elapsed Time "= 28 Seconds "Elapsed Time(since restart) "= 28 Seconds "Time to Timeout "= 9 Minutes 31 Seconds Percent Done = 100.10000000001565 "%" (%o222) diffeq.max