Properties

Label 88.2.k.b.19.3
Level 8888
Weight 22
Character 88.19
Analytic conductor 0.7030.703
Analytic rank 00
Dimension 3232
Inner twists 44

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [88,2,Mod(19,88)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(88, base_ring=CyclotomicField(10))
 
chi = DirichletCharacter(H, H._module([5, 5, 3]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("88.19");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: N N == 88=2311 88 = 2^{3} \cdot 11
Weight: k k == 2 2
Character orbit: [χ][\chi] == 88.k (of order 1010, degree 44, minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: 0.7026835377870.702683537787
Analytic rank: 00
Dimension: 3232
Relative dimension: 88 over Q(ζ10)\Q(\zeta_{10})
Twist minimal: yes
Sato-Tate group: SU(2)[C10]\mathrm{SU}(2)[C_{10}]

Embedding invariants

Embedding label 19.3
Character χ\chi == 88.19
Dual form 88.2.k.b.51.3

qq-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
f(q)f(q) == q+(1.161730.806458i)q2+(0.385688+1.18702i)q3+(0.699251+1.87378i)q4+(2.03454+2.80031i)q5+(0.5092191.69005i)q6+(0.442181+1.36089i)q7+(0.6987802.74075i)q8+(1.166780.847714i)q9+(4.621931.61244i)q10+(1.18696+3.09695i)q11+(1.95453+1.55272i)q12+(5.337403.87785i)q13+(1.611201.22440i)q14+(4.108741.33501i)q15+(3.02209+2.62049i)q16+(0.4424790.609020i)q17+(2.03913+0.0438606i)q18+(2.61700+0.850314i)q19+(6.669821.85417i)q201.78596q21+(3.876502.64060i)q224.40738iq23+(3.522850.227605i)q24+(2.157286.63943i)q25+(9.32795+0.200639i)q26+(4.48550+3.25891i)q27+(2.85921+0.123057i)q28+(0.0386973+0.119098i)q29+(3.69663+4.86445i)q30+(2.25749+3.10716i)q31+(5.624180.607114i)q32+(4.133960.214498i)q33+(1.00519+0.350679i)q34+(2.911294.00704i)q35+(2.40430+1.59352i)q36+(1.91508+0.622247i)q37+(3.72600+1.12266i)q38+(6.66167+4.83999i)q39+(6.25325+7.53298i)q40+(2.520370.818917i)q41+(2.07481+1.44030i)q424.68327iq43+(6.632990.0585579i)q44+4.99205iq45+(3.55437+5.12021i)q46+(4.390591.42659i)q47+(4.276172.57661i)q48+(4.00661+2.91097i)q49+(2.84823+9.45301i)q50+(0.893581+0.290342i)q51+(10.9984+7.28951i)q52+(3.064964.21856i)q53+(2.582797.40335i)q54+(6.257509.62476i)q55+(3.42088+2.16287i)q56+(2.018692.77849i)q57+(0.1410030.107152i)q58+(1.904405.86114i)q59+(0.3715278.63237i)q60+(2.377901.72765i)q61+(0.1168025.43027i)q62+(0.637721+1.96270i)q63+(7.023413.83036i)q64+22.8360iq65+(4.62958+3.58305i)q6610.7156q67+(1.45057+0.403250i)q68+(5.231681.69987i)q69+(0.150630+7.00295i)q70+(6.91440+9.51686i)q71+(1.508053.79021i)q72+(5.950321.93338i)q73+(1.723002.26731i)q74+(7.049135.12150i)q75+(3.423244.30909i)q76+(3.689772.98475i)q77+(3.8358410.9951i)q78+(1.32581+0.963258i)q79+(1.1895813.7943i)q80+(0.801393+2.46643i)q81+(3.588421.08121i)q82+(7.179889.88226i)q83+(1.248833.34649i)q84+(0.805202+2.47816i)q85+(3.77686+5.44071i)q860.156297q87+(7.65855+5.41726i)q88+10.6955q89+(4.025885.79944i)q90+(2.91724+8.97834i)q91+(8.258463.08187i)q92+(2.81760+3.87809i)q93+(6.251181.88351i)q94+(2.943269.05841i)q95+(2.88984+6.44189i)q96+(9.17200+6.66385i)q97+(2.307046.61294i)q98+(1.24041+4.61966i)q99+O(q100)q+(-1.16173 - 0.806458i) q^{2} +(0.385688 + 1.18702i) q^{3} +(0.699251 + 1.87378i) q^{4} +(-2.03454 + 2.80031i) q^{5} +(0.509219 - 1.69005i) q^{6} +(-0.442181 + 1.36089i) q^{7} +(0.698780 - 2.74075i) q^{8} +(1.16678 - 0.847714i) q^{9} +(4.62193 - 1.61244i) q^{10} +(-1.18696 + 3.09695i) q^{11} +(-1.95453 + 1.55272i) q^{12} +(5.33740 - 3.87785i) q^{13} +(1.61120 - 1.22440i) q^{14} +(-4.10874 - 1.33501i) q^{15} +(-3.02209 + 2.62049i) q^{16} +(0.442479 - 0.609020i) q^{17} +(-2.03913 + 0.0438606i) q^{18} +(-2.61700 + 0.850314i) q^{19} +(-6.66982 - 1.85417i) q^{20} -1.78596 q^{21} +(3.87650 - 2.64060i) q^{22} -4.40738i q^{23} +(3.52285 - 0.227605i) q^{24} +(-2.15728 - 6.63943i) q^{25} +(-9.32795 + 0.200639i) q^{26} +(4.48550 + 3.25891i) q^{27} +(-2.85921 + 0.123057i) q^{28} +(-0.0386973 + 0.119098i) q^{29} +(3.69663 + 4.86445i) q^{30} +(2.25749 + 3.10716i) q^{31} +(5.62418 - 0.607114i) q^{32} +(-4.13396 - 0.214498i) q^{33} +(-1.00519 + 0.350679i) q^{34} +(-2.91129 - 4.00704i) q^{35} +(2.40430 + 1.59352i) q^{36} +(1.91508 + 0.622247i) q^{37} +(3.72600 + 1.12266i) q^{38} +(6.66167 + 4.83999i) q^{39} +(6.25325 + 7.53298i) q^{40} +(2.52037 - 0.818917i) q^{41} +(2.07481 + 1.44030i) q^{42} -4.68327i q^{43} +(-6.63299 - 0.0585579i) q^{44} +4.99205i q^{45} +(-3.55437 + 5.12021i) q^{46} +(4.39059 - 1.42659i) q^{47} +(-4.27617 - 2.57661i) q^{48} +(4.00661 + 2.91097i) q^{49} +(-2.84823 + 9.45301i) q^{50} +(0.893581 + 0.290342i) q^{51} +(10.9984 + 7.28951i) q^{52} +(-3.06496 - 4.21856i) q^{53} +(-2.58279 - 7.40335i) q^{54} +(-6.25750 - 9.62476i) q^{55} +(3.42088 + 2.16287i) q^{56} +(-2.01869 - 2.77849i) q^{57} +(0.141003 - 0.107152i) q^{58} +(1.90440 - 5.86114i) q^{59} +(-0.371527 - 8.63237i) q^{60} +(-2.37790 - 1.72765i) q^{61} +(-0.116802 - 5.43027i) q^{62} +(0.637721 + 1.96270i) q^{63} +(-7.02341 - 3.83036i) q^{64} +22.8360i q^{65} +(4.62958 + 3.58305i) q^{66} -10.7156 q^{67} +(1.45057 + 0.403250i) q^{68} +(5.23168 - 1.69987i) q^{69} +(0.150630 + 7.00295i) q^{70} +(-6.91440 + 9.51686i) q^{71} +(-1.50805 - 3.79021i) q^{72} +(-5.95032 - 1.93338i) q^{73} +(-1.72300 - 2.26731i) q^{74} +(7.04913 - 5.12150i) q^{75} +(-3.42324 - 4.30909i) q^{76} +(-3.68977 - 2.98475i) q^{77} +(-3.83584 - 10.9951i) q^{78} +(-1.32581 + 0.963258i) q^{79} +(-1.18958 - 13.7943i) q^{80} +(-0.801393 + 2.46643i) q^{81} +(-3.58842 - 1.08121i) q^{82} +(7.17988 - 9.88226i) q^{83} +(-1.24883 - 3.34649i) q^{84} +(0.805202 + 2.47816i) q^{85} +(-3.77686 + 5.44071i) q^{86} -0.156297 q^{87} +(7.65855 + 5.41726i) q^{88} +10.6955 q^{89} +(4.02588 - 5.79944i) q^{90} +(2.91724 + 8.97834i) q^{91} +(8.25846 - 3.08187i) q^{92} +(-2.81760 + 3.87809i) q^{93} +(-6.25118 - 1.88351i) q^{94} +(2.94326 - 9.05841i) q^{95} +(2.88984 + 6.44189i) q^{96} +(-9.17200 + 6.66385i) q^{97} +(-2.30704 - 6.61294i) q^{98} +(1.24041 + 4.61966i) q^{99} +O(q^{100})
Tr(f)(q)\operatorname{Tr}(f)(q) == 32q5q22q35q4+15q65q810q918q1118q12+8q14q1610q1720q1830q20+17q22+5q24+6q254q2632q27++122q99+O(q100) 32 q - 5 q^{2} - 2 q^{3} - 5 q^{4} + 15 q^{6} - 5 q^{8} - 10 q^{9} - 18 q^{11} - 18 q^{12} + 8 q^{14} - q^{16} - 10 q^{17} - 20 q^{18} - 30 q^{20} + 17 q^{22} + 5 q^{24} + 6 q^{25} - 4 q^{26} - 32 q^{27}+ \cdots + 122 q^{99}+O(q^{100}) Copy content Toggle raw display

Character values

We give the values of χ\chi on generators for (Z/88Z)×\left(\mathbb{Z}/88\mathbb{Z}\right)^\times.

nn 2323 4545 5757
χ(n)\chi(n) 1-1 1-1 e(310)e\left(\frac{3}{10}\right)

Coefficient data

For each nn we display the coefficients of the qq-expansion ana_n, the Satake parameters αp\alpha_p, and the Satake angles θp=Arg(αp)\theta_p = \textrm{Arg}(\alpha_p).



Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)
Significant digits:
nn ana_n an/n(k1)/2a_n / n^{(k-1)/2} αn \alpha_n θn \theta_n
pp apa_p ap/p(k1)/2a_p / p^{(k-1)/2} αp \alpha_p θp \theta_p
22 −1.16173 0.806458i −0.821470 0.570252i
33 0.385688 + 1.18702i 0.222677 + 0.685329i 0.998519 + 0.0544021i 0.0173253π0.0173253\pi
−0.775842 + 0.630927i 0.782675π0.782675\pi
44 0.699251 + 1.87378i 0.349626 + 0.936889i
55 −2.03454 + 2.80031i −0.909876 + 1.25234i 0.0573329 + 0.998355i 0.481740π0.481740\pi
−0.967209 + 0.253982i 0.918260π0.918260\pi
66 0.509219 1.69005i 0.207888 0.689959i
77 −0.442181 + 1.36089i −0.167129 + 0.514370i −0.999187 0.0403190i 0.987163π-0.987163\pi
0.832058 + 0.554689i 0.187163π0.187163\pi
88 0.698780 2.74075i 0.247056 0.969001i
99 1.16678 0.847714i 0.388926 0.282571i
1010 4.62193 1.61244i 1.46158 0.509899i
1111 −1.18696 + 3.09695i −0.357883 + 0.933766i
1212 −1.95453 + 1.55272i −0.564224 + 0.448232i
1313 5.33740 3.87785i 1.48033 1.07552i 0.502876 0.864358i 0.332275π-0.332275\pi
0.977451 0.211163i 0.0677249π-0.0677249\pi
1414 1.61120 1.22440i 0.430612 0.327234i
1515 −4.10874 1.33501i −1.06087 0.344698i
1616 −3.02209 + 2.62049i −0.755524 + 0.655121i
1717 0.442479 0.609020i 0.107317 0.147709i −0.751980 0.659185i 0.770901π-0.770901\pi
0.859297 + 0.511476i 0.170901π0.170901\pi
1818 −2.03913 + 0.0438606i −0.480628 + 0.0103380i
1919 −2.61700 + 0.850314i −0.600381 + 0.195075i −0.593410 0.804900i 0.702219π-0.702219\pi
−0.00697046 + 0.999976i 0.502219π0.502219\pi
2020 −6.66982 1.85417i −1.49142 0.414604i
2121 −1.78596 −0.389728
2222 3.87650 2.64060i 0.826472 0.562978i
2323 4.40738i 0.919003i −0.888177 0.459502i 0.848028π-0.848028\pi
0.888177 0.459502i 0.151972π-0.151972\pi
2424 3.52285 0.227605i 0.719098 0.0464596i
2525 −2.15728 6.63943i −0.431456 1.32789i
2626 −9.32795 + 0.200639i −1.82936 + 0.0393486i
2727 4.48550 + 3.25891i 0.863235 + 0.627177i
2828 −2.85921 + 0.123057i −0.540340 + 0.0232556i
2929 −0.0386973 + 0.119098i −0.00718590 + 0.0221159i −0.954585 0.297938i 0.903701π-0.903701\pi
0.947399 + 0.320054i 0.103701π0.103701\pi
3030 3.69663 + 4.86445i 0.674909 + 0.888123i
3131 2.25749 + 3.10716i 0.405457 + 0.558063i 0.962103 0.272686i 0.0879121π-0.0879121\pi
−0.556646 + 0.830750i 0.687912π0.687912\pi
3232 5.62418 0.607114i 0.994224 0.107324i
3333 −4.13396 0.214498i −0.719630 0.0373393i
3434 −1.00519 + 0.350679i −0.172389 + 0.0601409i
3535 −2.91129 4.00704i −0.492098 0.677314i
3636 2.40430 + 1.59352i 0.400717 + 0.265586i
3737 1.91508 + 0.622247i 0.314837 + 0.102297i 0.462173 0.886790i 0.347070π-0.347070\pi
−0.147336 + 0.989086i 0.547070π0.547070\pi
3838 3.72600 + 1.12266i 0.604437 + 0.182120i
3939 6.66167 + 4.83999i 1.06672 + 0.775018i
4040 6.25325 + 7.53298i 0.988726 + 1.19107i
4141 2.52037 0.818917i 0.393615 0.127893i −0.105521 0.994417i 0.533651π-0.533651\pi
0.499136 + 0.866524i 0.333651π0.333651\pi
4242 2.07481 + 1.44030i 0.320150 + 0.222243i
4343 4.68327i 0.714192i −0.934068 0.357096i 0.883767π-0.883767\pi
0.934068 0.357096i 0.116233π-0.116233\pi
4444 −6.63299 0.0585579i −0.999961 0.00882793i
4545 4.99205i 0.744171i
4646 −3.55437 + 5.12021i −0.524063 + 0.754934i
4747 4.39059 1.42659i 0.640433 0.208089i 0.0292421 0.999572i 0.490691π-0.490691\pi
0.611191 + 0.791483i 0.290691π0.290691\pi
4848 −4.27617 2.57661i −0.617211 0.371902i
4949 4.00661 + 2.91097i 0.572373 + 0.415853i
5050 −2.84823 + 9.45301i −0.402801 + 1.33686i
5151 0.893581 + 0.290342i 0.125126 + 0.0406560i
5252 10.9984 + 7.28951i 1.52520 + 1.01087i
5353 −3.06496 4.21856i −0.421005 0.579463i 0.544854 0.838531i 0.316585π-0.316585\pi
−0.965859 + 0.259067i 0.916585π0.916585\pi
5454 −2.58279 7.40335i −0.351473 1.00747i
5555 −6.25750 9.62476i −0.843761 1.29780i
5656 3.42088 + 2.16287i 0.457135 + 0.289026i
5757 −2.01869 2.77849i −0.267382 0.368020i
5858 0.141003 0.107152i 0.0185146 0.0140698i
5959 1.90440 5.86114i 0.247932 0.763056i −0.747209 0.664590i 0.768606π-0.768606\pi
0.995140 0.0984660i 0.0313936π-0.0313936\pi
6060 −0.371527 8.63237i −0.0479640 1.11443i
6161 −2.37790 1.72765i −0.304460 0.221203i 0.425056 0.905167i 0.360254π-0.360254\pi
−0.729516 + 0.683964i 0.760254π0.760254\pi
6262 −0.116802 5.43027i −0.0148339 0.689645i
6363 0.637721 + 1.96270i 0.0803453 + 0.247277i
6464 −7.02341 3.83036i −0.877927 0.478795i
6565 22.8360i 2.83246i
6666 4.62958 + 3.58305i 0.569861 + 0.441043i
6767 −10.7156 −1.30912 −0.654559 0.756011i 0.727146π-0.727146\pi
−0.654559 + 0.756011i 0.727146π0.727146\pi
6868 1.45057 + 0.403250i 0.175908 + 0.0489012i
6969 5.23168 1.69987i 0.629820 0.204641i
7070 0.150630 + 7.00295i 0.0180037 + 0.837013i
7171 −6.91440 + 9.51686i −0.820588 + 1.12944i 0.169014 + 0.985614i 0.445942π0.445942\pi
−0.989602 + 0.143829i 0.954058π0.954058\pi
7272 −1.50805 3.79021i −0.177725 0.446681i
7373 −5.95032 1.93338i −0.696433 0.226285i −0.0606571 0.998159i 0.519320π-0.519320\pi
−0.635776 + 0.771874i 0.719320π0.719320\pi
7474 −1.72300 2.26731i −0.200294 0.263570i
7575 7.04913 5.12150i 0.813964 0.591379i
7676 −3.42324 4.30909i −0.392673 0.494287i
7777 −3.68977 2.98475i −0.420489 0.340143i
7878 −3.83584 10.9951i −0.434324 1.24495i
7979 −1.32581 + 0.963258i −0.149165 + 0.108375i −0.659865 0.751384i 0.729386π-0.729386\pi
0.510700 + 0.859759i 0.329386π0.329386\pi
8080 −1.18958 13.7943i −0.133000 1.54225i
8181 −0.801393 + 2.46643i −0.0890436 + 0.274048i
8282 −3.58842 1.08121i −0.396274 0.119399i
8383 7.17988 9.88226i 0.788094 1.08472i −0.206249 0.978500i 0.566126π-0.566126\pi
0.994343 0.106219i 0.0338744π-0.0338744\pi
8484 −1.24883 3.34649i −0.136259 0.365132i
8585 0.805202 + 2.47816i 0.0873365 + 0.268794i
8686 −3.77686 + 5.44071i −0.407269 + 0.586687i
8787 −0.156297 −0.0167568
8888 7.65855 + 5.41726i 0.816404 + 0.577481i
8989 10.6955 1.13372 0.566858 0.823815i 0.308159π-0.308159\pi
0.566858 + 0.823815i 0.308159π0.308159\pi
9090 4.02588 5.79944i 0.424365 0.611314i
9191 2.91724 + 8.97834i 0.305810 + 0.941186i
9292 8.25846 3.08187i 0.861004 0.321307i
9393 −2.81760 + 3.87809i −0.292171 + 0.402139i
9494 −6.25118 1.88351i −0.644760 0.194269i
9595 2.94326 9.05841i 0.301972 0.929373i
9696 2.88984 + 6.44189i 0.294943 + 0.657472i
9797 −9.17200 + 6.66385i −0.931276 + 0.676611i −0.946305 0.323276i 0.895216π-0.895216\pi
0.0150293 + 0.999887i 0.495216π0.495216\pi
9898 −2.30704 6.61294i −0.233046 0.668008i
9999 1.24041 + 4.61966i 0.124666 + 0.464293i
100100 10.9323 8.68490i 1.09323 0.868490i
101101 −7.14622 + 5.19204i −0.711076 + 0.516627i −0.883521 0.468392i 0.844833π-0.844833\pi
0.172445 + 0.985019i 0.444833π0.444833\pi
102102 −0.803955 1.05794i −0.0796034 0.104751i
103103 16.7264 + 5.43473i 1.64810 + 0.535499i 0.978327 0.207068i 0.0663922π-0.0663922\pi
0.669771 + 0.742567i 0.266392π0.266392\pi
104104 −6.89854 17.3382i −0.676457 1.70015i
105105 3.63361 5.00124i 0.354604 0.488071i
106106 0.158581 + 7.37260i 0.0154027 + 0.716091i
107107 −4.41132 + 1.43333i −0.426459 + 0.138565i −0.514379 0.857563i 0.671978π-0.671978\pi
0.0879209 + 0.996127i 0.471978π0.471978\pi
108108 −2.96998 + 10.6836i −0.285786 + 1.02803i
109109 −11.8543 −1.13544 −0.567718 0.823223i 0.692173π-0.692173\pi
−0.567718 + 0.823223i 0.692173π0.692173\pi
110110 −0.492409 + 16.2278i −0.0469493 + 1.54726i
111111 2.51324i 0.238546i
112112 −2.22989 5.27148i −0.210705 0.498108i
113113 0.696722 + 2.14429i 0.0655421 + 0.201718i 0.978464 0.206415i 0.0661798π-0.0661798\pi
−0.912922 + 0.408133i 0.866180π0.866180\pi
114114 0.104447 + 4.85585i 0.00978233 + 0.454792i
115115 12.3420 + 8.96702i 1.15090 + 0.836179i
116116 −0.250222 + 0.0107693i −0.0232326 + 0.000999902i
117117 2.94025 9.04917i 0.271826 0.836596i
118118 −6.93917 + 5.27327i −0.638802 + 0.485444i
119119 0.633156 + 0.871465i 0.0580413 + 0.0798870i
120120 −6.53003 + 10.3281i −0.596107 + 0.942826i
121121 −8.18224 7.35194i −0.743840 0.668358i
122122 1.36922 + 3.92475i 0.123963 + 0.355330i
123123 1.94415 + 2.67589i 0.175298 + 0.241277i
124124 −4.24359 + 6.40272i −0.381085 + 0.574981i
125125 6.52174 + 2.11904i 0.583323 + 0.189533i
126126 0.841976 2.79444i 0.0750092 0.248948i
127127 −11.2265 8.15650i −0.996187 0.723772i −0.0349194 0.999390i 0.511117π-0.511117\pi
−0.961267 + 0.275618i 0.911117π0.911117\pi
128128 5.07031 + 10.1139i 0.448157 + 0.893955i
129129 5.55916 1.80628i 0.489457 0.159034i
130130 18.4163 26.5294i 1.61522 2.32678i
131131 8.50766i 0.743317i −0.928369 0.371659i 0.878789π-0.878789\pi
0.928369 0.371659i 0.121211π-0.121211\pi
132132 −2.48875 7.89611i −0.216618 0.687268i
133133 3.93745i 0.341420i
134134 12.4487 + 8.64168i 1.07540 + 0.746527i
135135 −18.2519 + 5.93040i −1.57087 + 0.510408i
136136 −1.35998 1.63830i −0.116617 0.140483i
137137 −3.93506 2.85899i −0.336195 0.244260i 0.406860 0.913491i 0.366624π-0.366624\pi
−0.743055 + 0.669231i 0.766624π0.766624\pi
138138 −7.44869 2.24432i −0.634075 0.191050i
139139 −15.2832 4.96581i −1.29630 0.421194i −0.422009 0.906592i 0.638675π-0.638675\pi
−0.874294 + 0.485397i 0.838675π0.838675\pi
140140 5.47259 8.25704i 0.462519 0.697847i
141141 3.38679 + 4.66152i 0.285219 + 0.392571i
142142 15.7076 5.47988i 1.31816 0.459862i
143143 5.67421 + 21.1325i 0.474501 + 1.76719i
144144 −1.30469 + 5.61940i −0.108724 + 0.468283i
145145 −0.254780 0.350674i −0.0211583 0.0291219i
146146 5.35351 + 7.04476i 0.443059 + 0.583028i
147147 −1.91010 + 5.87867i −0.157542 + 0.484865i
148148 0.173168 + 4.02354i 0.0142344 + 0.330733i
149149 17.2096 + 12.5035i 1.40986 + 1.02433i 0.993342 + 0.115198i 0.0367504π0.0367504\pi
0.416520 + 0.909127i 0.363250π0.363250\pi
150150 −12.3195 + 0.264986i −1.00588 + 0.0216360i
151151 −4.91773 15.1352i −0.400199 1.23169i −0.924838 0.380361i 0.875800π-0.875800\pi
0.524639 0.851325i 0.324200π-0.324200\pi
152152 0.501793 + 7.76672i 0.0407008 + 0.629964i
153153 1.08569i 0.0877726i
154154 1.87946 + 6.44313i 0.151451 + 0.519202i
155155 −13.2940 −1.06780
156156 −4.41088 + 15.8669i −0.353153 + 1.27037i
157157 1.98718 0.645673i 0.158594 0.0515303i −0.228644 0.973510i 0.573429π-0.573429\pi
0.387238 + 0.921980i 0.373429π0.373429\pi
158158 2.31707 0.0498388i 0.184336 0.00396496i
159159 3.82542 5.26523i 0.303375 0.417560i
160160 −9.74254 + 16.9847i −0.770215 + 1.34275i
161161 5.99798 + 1.94886i 0.472707 + 0.153592i
162162 2.92008 2.21905i 0.229423 0.174345i
163163 8.87445 6.44766i 0.695100 0.505020i −0.183233 0.983070i 0.558656π-0.558656\pi
0.878333 + 0.478050i 0.158656π0.158656\pi
164164 3.29684 + 4.14998i 0.257440 + 0.324059i
165165 9.01138 11.1400i 0.701535 0.867245i
166166 −16.3107 + 5.69028i −1.26596 + 0.441652i
167167 10.5048 7.63218i 0.812885 0.590595i −0.101781 0.994807i 0.532454π-0.532454\pi
0.914666 + 0.404211i 0.132454π0.132454\pi
168168 −1.24799 + 4.89487i −0.0962847 + 0.377647i
169169 9.43289 29.0315i 0.725607 2.23319i
170170 1.06310 3.52832i 0.0815360 0.270610i
171171 −2.33263 + 3.21059i −0.178381 + 0.245520i
172172 8.77541 3.27478i 0.669119 0.249700i
173173 −1.07620 3.31219i −0.0818217 0.251821i 0.901774 0.432208i 0.142265π-0.142265\pi
−0.983596 + 0.180386i 0.942265π0.942265\pi
174174 0.181576 + 0.126047i 0.0137652 + 0.00955561i
175175 9.98947 0.755133
176176 −4.52840 12.4697i −0.341341 0.939939i
177177 7.69182 0.578153
178178 −12.4253 8.62544i −0.931314 0.646504i
179179 0.835692 + 2.57200i 0.0624626 + 0.192240i 0.977418 0.211315i 0.0677745π-0.0677745\pi
−0.914956 + 0.403555i 0.867774π0.867774\pi
180180 −9.35400 + 3.49070i −0.697206 + 0.260181i
181181 6.52174 8.97641i 0.484757 0.667211i −0.494653 0.869091i 0.664705π-0.664705\pi
0.979410 + 0.201879i 0.0647048π0.0647048\pi
182182 3.85160 12.7831i 0.285499 0.947545i
183183 1.13363 3.48897i 0.0838006 0.257912i
184184 −12.0795 3.07979i −0.890515 0.227045i
185185 −5.63880 + 4.09682i −0.414572 + 0.301205i
186186 6.40081 2.23303i 0.469330 0.163734i
187187 1.36090 + 2.09322i 0.0995189 + 0.153072i
188188 5.74324 + 7.22945i 0.418869 + 0.527262i
189189 −6.41843 + 4.66326i −0.466872 + 0.339203i
190190 −10.7245 + 8.14985i −0.778038 + 0.591252i
191191 −12.9352 4.20291i −0.935961 0.304112i −0.198963 0.980007i 0.563757π-0.563757\pi
−0.736998 + 0.675895i 0.763757π0.763757\pi
192192 1.83789 9.81429i 0.132638 0.708285i
193193 −3.16835 + 4.36086i −0.228063 + 0.313901i −0.907678 0.419667i 0.862147π-0.862147\pi
0.679615 + 0.733569i 0.262147π0.262147\pi
194194 16.0295 0.344787i 1.15085 0.0247542i
195195 −27.1069 + 8.80757i −1.94117 + 0.630723i
196196 −2.65289 + 9.54300i −0.189492 + 0.681643i
197197 −6.42744 −0.457936 −0.228968 0.973434i 0.573535π-0.573535\pi
−0.228968 + 0.973434i 0.573535π0.573535\pi
198198 2.28454 6.36715i 0.162355 0.452494i
199199 3.62012i 0.256623i −0.991734 0.128312i 0.959044π-0.959044\pi
0.991734 0.128312i 0.0409558π-0.0409558\pi
200200 −19.7045 + 1.27307i −1.39332 + 0.0900196i
201201 −4.13288 12.7197i −0.291511 0.897177i
202202 12.4892 0.268635i 0.878735 0.0189011i
203203 −0.144968 0.105326i −0.0101748 0.00739242i
204204 0.0808009 + 1.87740i 0.00565720 + 0.131444i
205205 −2.83458 + 8.72393i −0.197976 + 0.609306i
206206 −15.0487 19.8028i −1.04849 1.37973i
207207 −3.73620 5.14244i −0.259684 0.357424i
208208 −5.96828 + 25.7058i −0.413826 + 1.78238i
209209 0.472897 9.11401i 0.0327110 0.630430i
210210 −8.25458 + 2.87975i −0.569620 + 0.198722i
211211 12.3044 + 16.9355i 0.847067 + 1.16589i 0.984501 + 0.175377i 0.0561144π0.0561144\pi
−0.137434 + 0.990511i 0.543886π0.543886\pi
212212 5.76147 8.69289i 0.395699 0.597030i
213213 −13.9635 4.53703i −0.956766 0.310872i
214214 6.28070 + 1.89240i 0.429340 + 0.129362i
215215 13.1146 + 9.52832i 0.894409 + 0.649826i
216216 12.0662 10.0164i 0.821003 0.681528i
217217 −5.22674 + 1.69827i −0.354814 + 0.115286i
218218 13.7715 + 9.55999i 0.932726 + 0.647484i
219219 7.80886i 0.527674i
220220 13.6591 18.4553i 0.920896 1.24426i
221221 4.96645i 0.334080i
222222 2.02682 2.91971i 0.136031 0.195958i
223223 −2.52383 + 0.820041i −0.169008 + 0.0549140i −0.392299 0.919838i 0.628320π-0.628320\pi
0.223291 + 0.974752i 0.428320π0.428320\pi
224224 −1.66069 + 7.92237i −0.110960 + 0.529336i
225225 −8.14541 5.91798i −0.543027 0.394532i
226226 0.919874 3.05297i 0.0611891 0.203081i
227227 −3.31167 1.07603i −0.219803 0.0714184i 0.197045 0.980394i 0.436865π-0.436865\pi
−0.416848 + 0.908976i 0.636865π0.636865\pi
228228 3.79470 5.72544i 0.251310 0.379176i
229229 7.74574 + 10.6611i 0.511853 + 0.704505i 0.984230 0.176891i 0.0566041π-0.0566041\pi
−0.472377 + 0.881396i 0.656604π0.656604\pi
230230 −7.10665 20.3706i −0.468599 1.34320i
231231 2.11987 5.53103i 0.139477 0.363915i
232232 0.299377 + 0.189283i 0.0196550 + 0.0124270i
233233 4.10254 + 5.64666i 0.268766 + 0.369925i 0.921973 0.387255i 0.126577π-0.126577\pi
−0.653207 + 0.757180i 0.726577π0.726577\pi
234234 −10.7136 + 8.14154i −0.700368 + 0.532229i
235235 −4.93796 + 15.1975i −0.322117 + 0.991374i
236236 12.3141 0.529986i 0.801582 0.0344992i
237237 −1.65476 1.20225i −0.107488 0.0780947i
238238 −0.0327594 1.52302i −0.00212348 0.0987230i
239239 −0.736760 2.26751i −0.0476570 0.146673i 0.924396 0.381434i 0.124569π-0.124569\pi
−0.972053 + 0.234760i 0.924569π0.924569\pi
240240 15.9154 6.73236i 1.02733 0.434572i
241241 10.0044i 0.644440i 0.946665 + 0.322220i 0.104429π0.104429\pi
−0.946665 + 0.322220i 0.895571π0.895571\pi
242242 3.57655 + 15.1396i 0.229910 + 0.973212i
243243 13.3963 0.859376
244244 1.57448 5.66373i 0.100796 0.362583i
245245 −16.3033 + 5.29725i −1.04158 + 0.338429i
246246 −0.100590 4.67655i −0.00641339 0.298166i
247247 −10.6706 + 14.6868i −0.678952 + 0.934498i
248248 10.0934 4.01598i 0.640934 0.255015i
249249 14.4997 + 4.71123i 0.918880 + 0.298562i
250250 −5.86761 7.72128i −0.371100 0.488336i
251251 14.1273 10.2641i 0.891709 0.647864i −0.0446141 0.999004i 0.514206π-0.514206\pi
0.936323 + 0.351140i 0.114206π0.114206\pi
252252 −3.23175 + 2.56737i −0.203581 + 0.161729i
253253 13.6495 + 5.23140i 0.858134 + 0.328896i
254254 6.46428 + 18.5293i 0.405605 + 1.16263i
255255 −2.63108 + 1.91159i −0.164765 + 0.119708i
256256 2.26612 15.8387i 0.141632 0.989919i
257257 −2.52039 + 7.75695i −0.157217 + 0.483865i −0.998379 0.0569189i 0.981872π-0.981872\pi
0.841162 + 0.540784i 0.181872π0.181872\pi
258258 −7.91495 2.38481i −0.492763 0.148472i
259259 −1.69362 + 2.33107i −0.105237 + 0.144846i
260260 −42.7896 + 15.9681i −2.65370 + 0.990301i
261261 0.0558098 + 0.171765i 0.00345454 + 0.0106320i
262262 −6.86107 + 9.88363i −0.423878 + 0.610613i
263263 −21.0996 −1.30106 −0.650530 0.759481i 0.725453π-0.725453\pi
−0.650530 + 0.759481i 0.725453π0.725453\pi
264264 −3.47661 + 11.1803i −0.213971 + 0.688097i
265265 18.0491 1.10875
266266 −3.17539 + 4.57427i −0.194696 + 0.280467i
267267 4.12511 + 12.6958i 0.252453 + 0.776969i
268268 −7.49290 20.0787i −0.457702 1.22650i
269269 12.3273 16.9671i 0.751610 1.03450i −0.246255 0.969205i 0.579200π-0.579200\pi
0.997866 0.0652981i 0.0207998π-0.0207998\pi
270270 25.9865 + 7.82984i 1.58149 + 0.476509i
271271 −6.16426 + 18.9717i −0.374452 + 1.15245i 0.569395 + 0.822064i 0.307178π0.307178\pi
−0.943847 + 0.330382i 0.892822π0.892822\pi
272272 0.258715 + 3.00003i 0.0156869 + 0.181903i
273273 −9.53237 + 6.92567i −0.576925 + 0.419161i
274274 2.26584 + 6.49485i 0.136884 + 0.392368i
275275 23.1226 + 1.19976i 1.39435 + 0.0723482i
276276 6.84345 + 8.61436i 0.411927 + 0.518524i
277277 −0.866547 + 0.629583i −0.0520658 + 0.0378280i −0.613514 0.789684i 0.710244π-0.710244\pi
0.561448 + 0.827512i 0.310244π0.310244\pi
278278 13.7503 + 18.0942i 0.824687 + 1.08522i
279279 5.26797 + 1.71167i 0.315385 + 0.102475i
280280 −13.0167 + 5.17907i −0.777894 + 0.309509i
281281 −2.05101 + 2.82297i −0.122353 + 0.168404i −0.865800 0.500391i 0.833190π-0.833190\pi
0.743447 + 0.668795i 0.233190π0.233190\pi
282282 −0.175232 8.14675i −0.0104349 0.485132i
283283 19.4768 6.32839i 1.15777 0.376184i 0.333707 0.942677i 0.391700π-0.391700\pi
0.824066 + 0.566493i 0.191700π0.191700\pi
284284 −22.6674 6.30138i −1.34506 0.373918i
285285 11.8877 0.704169
286286 10.4506 29.1264i 0.617955 1.72228i
287287 3.79206i 0.223838i
288288 6.04751 5.47606i 0.356353 0.322680i
289289 5.07817 + 15.6290i 0.298716 + 0.919353i
290290 0.0131823 + 0.612859i 0.000774090 + 0.0359883i
291291 −11.4477 8.31723i −0.671075 0.487565i
292292 −0.538050 12.5015i −0.0314870 0.731595i
293293 −8.03179 + 24.7193i −0.469222 + 1.44412i 0.384372 + 0.923178i 0.374418π0.374418\pi
−0.853594 + 0.520939i 0.825582π0.825582\pi
294294 6.95993 5.28904i 0.405911 0.308463i
295295 12.5384 + 17.2577i 0.730015 + 1.00478i
296296 3.04364 4.81394i 0.176908 0.279804i
297297 −15.4168 + 10.0232i −0.894574 + 0.581604i
298298 −9.90940 28.4045i −0.574036 1.64543i
299299 −17.0912 23.5240i −0.988407 1.36043i
300300 14.5257 + 9.62731i 0.838640 + 0.555833i
301301 6.37343 + 2.07085i 0.367359 + 0.119362i
302302 −6.49282 + 21.5490i −0.373620 + 1.24001i
303303 −8.91929 6.48024i −0.512400 0.372280i
304304 5.68058 9.42754i 0.325804 0.540706i
305305 9.67591 3.14389i 0.554041 0.180019i
306306 −0.875561 + 1.26128i −0.0500525 + 0.0721026i
307307 9.33420i 0.532731i −0.963872 0.266366i 0.914177π-0.914177\pi
0.963872 0.266366i 0.0858228π-0.0858228\pi
308308 3.01268 9.00091i 0.171663 0.512874i
309309 21.9507i 1.24873i
310310 15.4441 + 10.7210i 0.877164 + 0.608914i
311311 18.5133 6.01534i 1.04979 0.341099i 0.267206 0.963639i 0.413899π-0.413899\pi
0.782588 + 0.622541i 0.213899π0.213899\pi
312312 17.9202 14.8759i 1.01453 0.842181i
313313 −11.9727 8.69865i −0.676735 0.491677i 0.195538 0.980696i 0.437355π-0.437355\pi
−0.872273 + 0.489020i 0.837355π0.837355\pi
314314 −2.82928 0.852474i −0.159665 0.0481079i
315315 −6.79365 2.20739i −0.382779 0.124372i
316316 −2.73201 1.81072i −0.153687 0.101861i
317317 −18.6496 25.6690i −1.04747 1.44171i −0.890986 0.454031i 0.849985π-0.849985\pi
−0.156480 0.987681i 0.550015π-0.550015\pi
318318 −8.69030 + 3.03176i −0.487328 + 0.170013i
319319 −0.322908 0.261208i −0.0180794 0.0146249i
320320 25.0156 11.8747i 1.39842 0.663816i
321321 −3.40279 4.68353i −0.189925 0.261409i
322322 −5.39639 7.10118i −0.300729 0.395733i
323323 −0.640109 + 1.97005i −0.0356166 + 0.109617i
324324 −5.18193 + 0.223024i −0.287885 + 0.0123902i
325325 −37.2610 27.0717i −2.06687 1.50167i
326326 −15.5095 + 0.333601i −0.858992 + 0.0184765i
327327 −4.57206 14.0713i −0.252835 0.778147i
328328 −0.483265 7.47994i −0.0266838 0.413010i
329329 6.60594i 0.364197i
330330 −19.4527 + 5.67437i −1.07084 + 0.312364i
331331 −0.462745 −0.0254347 −0.0127174 0.999919i 0.504048π-0.504048\pi
−0.0127174 + 0.999919i 0.504048π0.504048\pi
332332 23.5377 + 6.54333i 1.29180 + 0.359112i
333333 2.76196 0.897414i 0.151354 0.0491780i
334334 −18.3588 + 0.394888i −1.00455 + 0.0216073i
335335 21.8014 30.0070i 1.19114 1.63946i
336336 5.39734 4.68008i 0.294449 0.255319i
337337 21.3704 + 6.94366i 1.16412 + 0.378245i 0.826445 0.563017i 0.190360π-0.190360\pi
0.337675 + 0.941263i 0.390360π0.390360\pi
338338 −34.3712 + 26.1196i −1.86954 + 1.42072i
339339 −2.27661 + 1.65405i −0.123648 + 0.0898358i
340340 −4.08048 + 3.24163i −0.221295 + 0.175802i
341341 −12.3023 + 3.30324i −0.666207 + 0.178881i
342342 5.29911 1.84869i 0.286543 0.0999655i
343343 −13.8367 + 10.0529i −0.747111 + 0.542808i
344344 −12.8357 3.27257i −0.692053 0.176445i
345345 −5.88390 + 18.1088i −0.316779 + 0.974944i
346346 −1.42089 + 4.71579i −0.0763875 + 0.253523i
347347 −10.6270 + 14.6268i −0.570486 + 0.785207i −0.992612 0.121330i 0.961284π-0.961284\pi
0.422126 + 0.906537i 0.361284π0.361284\pi
348348 −0.109291 0.292866i −0.00585862 0.0156993i
349349 0.0983383 + 0.302654i 0.00526393 + 0.0162007i 0.953654 0.300905i 0.0972889π-0.0972889\pi
−0.948390 + 0.317106i 0.897289π0.897289\pi
350350 −11.6051 8.05609i −0.620319 0.430616i
351351 36.5784 1.95241
352352 −4.79549 + 18.1384i −0.255601 + 0.966782i
353353 −35.8303 −1.90706 −0.953529 0.301303i 0.902579π-0.902579\pi
−0.953529 + 0.301303i 0.902579π0.902579\pi
354354 −8.93585 6.20313i −0.474935 0.329693i
355355 −12.5825 38.7249i −0.667810 2.05531i
356356 7.47881 + 20.0409i 0.396376 + 1.06217i
357357 −0.790250 + 1.08769i −0.0418245 + 0.0575664i
358358 1.10335 3.66193i 0.0583141 0.193539i
359359 7.17559 22.0842i 0.378713 1.16556i −0.562226 0.826984i 0.690055π-0.690055\pi
0.940939 0.338576i 0.109945π-0.109945\pi
360360 13.6820 + 3.48834i 0.721103 + 0.183852i
361361 −9.24568 + 6.71738i −0.486615 + 0.353546i
362362 −14.8156 + 5.16869i −0.778692 + 0.271660i
363363 5.57115 12.5481i 0.292409 0.658603i
364364 −14.7835 + 11.7444i −0.774868 + 0.615573i
365365 17.5203 12.7292i 0.917052 0.666277i
366366 −4.13068 + 3.13902i −0.215914 + 0.164079i
367367 −12.4753 4.05346i −0.651203 0.211589i −0.0352586 0.999378i 0.511225π-0.511225\pi
−0.615945 + 0.787789i 0.711225π0.711225\pi
368368 11.5495 + 13.3195i 0.602059 + 0.694329i
369369 2.24650 3.09204i 0.116948 0.160965i
370370 9.85470 0.211969i 0.512321 0.0110198i
371371 7.09628 2.30572i 0.368420 0.119707i
372372 −9.23689 2.56779i −0.478910 0.133134i
373373 11.1209 0.575820 0.287910 0.957657i 0.407040π-0.407040\pi
0.287910 + 0.957657i 0.407040π0.407040\pi
374374 0.107091 3.52928i 0.00553752 0.182495i
375375 8.55876i 0.441973i
376376 −0.841868 13.0304i −0.0434160 0.671990i
377377 0.255301 + 0.785735i 0.0131487 + 0.0404674i
378378 11.2172 0.241277i 0.576952 0.0124099i
379379 −3.56804 2.59234i −0.183278 0.133159i 0.492363 0.870390i 0.336133π-0.336133\pi
−0.675641 + 0.737231i 0.736133π0.736133\pi
380380 19.0315 0.819095i 0.976297 0.0420187i
381381 5.35206 16.4719i 0.274194 0.843883i
382382 11.6378 + 15.3144i 0.595443 + 0.783552i
383383 −1.05035 1.44568i −0.0536703 0.0738709i 0.781338 0.624108i 0.214537π-0.214537\pi
−0.835009 + 0.550237i 0.814537π0.814537\pi
384384 −10.0499 + 9.91941i −0.512859 + 0.506198i
385385 15.8652 4.25991i 0.808567 0.217105i
386386 7.19763 2.51102i 0.366350 0.127807i
387387 −3.97007 5.46434i −0.201810 0.277768i
388388 −18.9001 12.5266i −0.959508 0.635942i
389389 17.8795 + 5.80939i 0.906525 + 0.294548i 0.724928 0.688825i 0.241873π-0.241873\pi
0.181598 + 0.983373i 0.441873π0.441873\pi
390390 38.5940 + 11.6285i 1.95428 + 0.588834i
391391 −2.68419 1.95018i −0.135745 0.0986246i
392392 10.7780 8.94699i 0.544370 0.451891i
393393 10.0988 3.28130i 0.509417 0.165520i
394394 7.46697 + 5.18346i 0.376181 + 0.261139i
395395 5.67247i 0.285413i
396396 −7.78887 + 5.55455i −0.391405 + 0.279127i
397397 16.9423i 0.850309i 0.905121 + 0.425154i 0.139780π0.139780\pi
−0.905121 + 0.425154i 0.860220π0.860220\pi
398398 −2.91947 + 4.20561i −0.146340 + 0.210808i
399399 4.67385 1.51863i 0.233985 0.0760264i
400400 23.9180 + 14.4119i 1.19590 + 0.720593i
401401 −22.0372 16.0110i −1.10049 0.799551i −0.119348 0.992853i 0.538080π-0.538080\pi
−0.981139 + 0.193302i 0.938080π0.938080\pi
402402 −5.45659 + 18.1099i −0.272150 + 0.903239i
403403 24.0982 + 7.82998i 1.20042 + 0.390039i
404404 −14.7257 9.75990i −0.732633 0.485573i
405405 −5.27631 7.26222i −0.262182 0.360862i
406406 0.0834740 + 0.239271i 0.00414274 + 0.0118748i
407407 −4.20020 + 5.19232i −0.208196 + 0.257374i
408408 1.42017 2.24620i 0.0703090 0.111203i
409409 8.51572 + 11.7209i 0.421075 + 0.579560i 0.965876 0.259005i 0.0833947π-0.0833947\pi
−0.544801 + 0.838565i 0.683395π0.683395\pi
410410 10.3285 7.84892i 0.510089 0.387631i
411411 1.87599 5.77369i 0.0925356 0.284795i
412412 1.51246 + 35.1418i 0.0745136 + 1.73131i
413413 7.13430 + 5.18337i 0.351056 + 0.255057i
414414 0.193311 + 8.98723i 0.00950070 + 0.441698i
415415 13.0656 + 40.2118i 0.641365 + 1.97392i
416416 27.6642 25.0501i 1.35635 1.22818i
417417 20.0568i 0.982184i
418418 −7.89945 + 10.2067i −0.386375 + 0.499225i
419419 −29.5266 −1.44247 −0.721234 0.692691i 0.756425π-0.756425\pi
−0.721234 + 0.692691i 0.756425π0.756425\pi
420420 11.9120 + 3.31146i 0.581247 + 0.161583i
421421 25.1953 8.18646i 1.22795 0.398984i 0.377976 0.925815i 0.376620π-0.376620\pi
0.849970 + 0.526831i 0.176620π0.176620\pi
422422 −0.636626 29.5975i −0.0309905 1.44078i
423423 3.91350 5.38648i 0.190281 0.261899i
424424 −13.7037 + 5.45245i −0.665513 + 0.264794i
425425 −4.99810 1.62398i −0.242444 0.0787747i
426426 12.5630 + 16.5318i 0.608679 + 0.800970i
427427 3.40261 2.47214i 0.164664 0.119635i
428428 −5.77036 7.26359i −0.278921 0.351099i
429429 −22.8964 + 14.8860i −1.10545 + 0.718702i
430430 −7.55150 21.6458i −0.364166 1.04385i
431431 −15.6499 + 11.3703i −0.753827 + 0.547688i −0.897011 0.442008i 0.854266π-0.854266\pi
0.143183 + 0.989696i 0.454266π0.454266\pi
432432 −22.0955 + 1.90546i −1.06307 + 0.0916765i
433433 2.01155 6.19091i 0.0966689 0.297516i −0.891016 0.453972i 0.850007π-0.850007\pi
0.987685 + 0.156455i 0.0500067π0.0500067\pi
434434 7.44167 + 2.24221i 0.357211 + 0.107629i
435435 0.317994 0.437681i 0.0152466 0.0209852i
436436 −8.28913 22.2123i −0.396977 1.06378i
437437 3.74766 + 11.5341i 0.179275 + 0.551752i
438438 −6.29752 + 9.07182i −0.300907 + 0.433468i
439439 −3.89313 −0.185809 −0.0929044 0.995675i 0.529615π-0.529615\pi
−0.0929044 + 0.995675i 0.529615π0.529615\pi
440440 −30.7517 + 10.4247i −1.46603 + 0.496976i
441441 7.14250 0.340119
442442 −4.00523 + 5.76969i −0.190509 + 0.274436i
443443 9.08528 + 27.9616i 0.431655 + 1.32850i 0.896476 + 0.443092i 0.146118π0.146118\pi
−0.464822 + 0.885404i 0.653882π0.653882\pi
444444 −4.70925 + 1.75739i −0.223491 + 0.0834018i
445445 −21.7604 + 29.9506i −1.03154 + 1.41979i
446446 3.59335 + 1.08269i 0.170150 + 0.0512669i
447447 −8.20442 + 25.2506i −0.388056 + 1.19431i
448448 8.31834 7.86441i 0.393004 0.371558i
449449 19.3694 14.0727i 0.914096 0.664130i −0.0279511 0.999609i 0.508898π-0.508898\pi
0.942048 + 0.335479i 0.108898π0.108898\pi
450450 4.69019 + 13.4440i 0.221098 + 0.633759i
451451 −0.455436 + 8.77748i −0.0214456 + 0.413316i
452452 −3.53074 + 2.80490i −0.166072 + 0.131931i
453453 16.0692 11.6749i 0.754995 0.548536i
454454 2.97951 + 3.92078i 0.139835 + 0.184011i
455455 −31.0774 10.0977i −1.45693 0.473386i
456456 −9.02575 + 3.59117i −0.422670 + 0.168172i
457457 −19.8130 + 27.2702i −0.926811 + 1.27565i 0.0342799 + 0.999412i 0.489086π0.489086\pi
−0.961091 + 0.276233i 0.910914π0.910914\pi
458458 −0.400764 18.6320i −0.0187265 0.870615i
459459 3.96948 1.28976i 0.185280 0.0602010i
460460 −8.17202 + 29.3965i −0.381023 + 1.37062i
461461 1.14908 0.0535180 0.0267590 0.999642i 0.491481π-0.491481\pi
0.0267590 + 0.999642i 0.491481π0.491481\pi
462462 −6.92327 + 4.71600i −0.322100 + 0.219408i
463463 35.5695i 1.65305i −0.562897 0.826527i 0.690313π-0.690313\pi
0.562897 0.826527i 0.309687π-0.309687\pi
464464 −0.195147 0.461331i −0.00905949 0.0214167i
465465 −5.12733 15.7803i −0.237774 0.731793i
466466 −0.212265 9.86843i −0.00983297 0.457146i
467467 7.76496 + 5.64158i 0.359320 + 0.261061i 0.752768 0.658286i 0.228718π-0.228718\pi
−0.393449 + 0.919347i 0.628718π0.628718\pi
468468 19.0121 0.818259i 0.878835 0.0378240i
469469 4.73824 14.5828i 0.218792 0.673371i
470470 17.9927 13.6732i 0.829942 0.630696i
471471 1.53286 + 2.10980i 0.0706304 + 0.0972144i
472472 −14.7332 9.31513i −0.678149 0.428764i
473473 14.5039 + 5.55887i 0.666889 + 0.255597i
474474 0.952824 + 2.73119i 0.0437646 + 0.125448i
475475 11.2912 + 15.5410i 0.518076 + 0.713071i
476476 −1.19020 + 1.79577i −0.0545526 + 0.0823089i
477477 −7.15226 2.32391i −0.327479 0.106405i
478478 −0.972735 + 3.22841i −0.0444919 + 0.147664i
479479 −10.6121 7.71014i −0.484879 0.352285i 0.318332 0.947979i 0.396877π-0.396877\pi
−0.803212 + 0.595694i 0.796877π0.796877\pi
480480 −23.9188 5.01386i −1.09174 0.228851i
481481 12.6345 4.10520i 0.576084 0.187181i
482482 8.06813 11.6225i 0.367493 0.529388i
483483 7.87141i 0.358162i
484484 8.05447 20.4726i 0.366112 0.930571i
485485 39.2423i 1.78190i
486486 −15.5630 10.8036i −0.705952 0.490061i
487487 13.1809 4.28273i 0.597283 0.194069i 0.00525485 0.999986i 0.498327π-0.498327\pi
0.592028 + 0.805917i 0.298327π0.298327\pi
488488 −6.39668 + 5.31000i −0.289564 + 0.240372i
489489 11.0763 + 8.04740i 0.500888 + 0.363916i
490490 23.2121 + 6.99390i 1.04861 + 0.315952i
491491 7.72819 + 2.51104i 0.348768 + 0.113322i 0.478162 0.878272i 0.341303π-0.341303\pi
−0.129394 + 0.991593i 0.541303π0.541303\pi
492492 −3.65458 + 5.51403i −0.164761 + 0.248592i
493493 0.0554103 + 0.0762658i 0.00249556 + 0.00343484i
494494 24.2406 8.45677i 1.09064 0.380488i
495495 −15.4601 5.92538i −0.694882 0.266326i
496496 −14.9646 3.47443i −0.671931 0.156007i
497497 −9.89402 13.6179i −0.443807 0.610848i
498498 −13.0454 17.1666i −0.584576 0.769253i
499499 −2.03291 + 6.25665i −0.0910055 + 0.280086i −0.986192 0.165605i 0.947042π-0.947042\pi
0.895187 + 0.445692i 0.147042π0.147042\pi
500500 0.589720 + 13.7021i 0.0263731 + 0.612774i
501501 13.1112 + 9.52581i 0.585763 + 0.425582i
502502 −24.6898 + 0.531063i −1.10196 + 0.0237025i
503503 11.1744 + 34.3912i 0.498242 + 1.53343i 0.811843 + 0.583875i 0.198464π0.198464\pi
−0.313602 + 0.949555i 0.601536π0.601536\pi
504504 5.82491 0.376336i 0.259462 0.0167633i
505505 30.5751i 1.36057i
506506 −11.6381 17.0852i −0.517378 0.759531i
507507 38.0992 1.69205
508508 7.43336 26.7393i 0.329802 1.18637i
509509 −17.9333 + 5.82690i −0.794881 + 0.258273i −0.678181 0.734895i 0.737232π-0.737232\pi
−0.116700 + 0.993167i 0.537232π0.537232\pi
510510 4.59823 0.0989055i 0.203613 0.00437961i
511511 5.26224 7.24286i 0.232788 0.320405i
512512 −15.4059 + 16.5728i −0.680850 + 0.732423i
513513 −14.5096 4.71447i −0.640616 0.208149i
514514 9.18367 6.97892i 0.405074 0.307827i
515515 −49.2495 + 35.7818i −2.17019 + 1.57674i
516516 7.27182 + 9.15359i 0.320124 + 0.402964i
517517 −0.793389 + 15.2908i −0.0348932 + 0.672487i
518518 3.84745 1.34225i 0.169047 0.0589751i
519519 3.51658 2.55494i 0.154361 0.112150i
520520 62.5878 + 15.9573i 2.74466 + 0.699776i
521521 −8.33018 + 25.6377i −0.364952 + 1.12321i 0.585059 + 0.810991i 0.301071π0.301071\pi
−0.950011 + 0.312216i 0.898929π0.898929\pi
522522 0.0736851 0.244553i 0.00322511 0.0107038i
523523 −15.4730 + 21.2968i −0.676588 + 0.931243i −0.999887 0.0150535i 0.995208π-0.995208\pi
0.323299 + 0.946297i 0.395208π0.395208\pi
524524 15.9415 5.94899i 0.696406 0.259883i
525525 3.85282 + 11.8578i 0.168151 + 0.517515i
526526 24.5122 + 17.0160i 1.06878 + 0.741931i
527527 2.89122 0.125943
528528 13.0553 10.1847i 0.568159 0.443234i
529529 3.57496 0.155433
530530 −20.9682 14.5558i −0.910801 0.632264i
531531 −2.74656 8.45303i −0.119190 0.366830i
532532 7.37791 2.75327i 0.319873 0.119369i
533533 10.2766 14.1445i 0.445127 0.612665i
534534 5.44633 18.0758i 0.235686 0.782218i
535535 4.96128 15.2692i 0.214495 0.660147i
536536 −7.48784 + 29.3688i −0.323426 + 1.26854i
537537 −2.73071 + 1.98397i −0.117839 + 0.0856148i
538538 −28.0043 + 9.76980i −1.20735 + 0.421206i
539539 −13.7708 + 8.95307i −0.593152 + 0.385636i
540540 −23.8749 30.0532i −1.02741 1.29328i
541541 −28.9843 + 21.0583i −1.24613 + 0.905369i −0.997991 0.0633548i 0.979820π-0.979820\pi
−0.248142 + 0.968724i 0.579820π0.579820\pi
542542 22.4611 17.0688i 0.964786 0.733168i
543543 13.1706 + 4.27938i 0.565204 + 0.183646i
544544 2.11884 3.69388i 0.0908444 0.158374i
545545 24.1181 33.1957i 1.03311 1.42195i
546546 16.6593 0.358334i 0.712954 0.0153353i
547547 −2.46974 + 0.802466i −0.105598 + 0.0343110i −0.361340 0.932434i 0.617680π-0.617680\pi
0.255741 + 0.966745i 0.417680π0.417680\pi
548548 2.60552 9.37259i 0.111302 0.400377i
549549 −4.23904 −0.180918
550550 −25.8948 20.0412i −1.10416 0.854561i
551551 0.344584i 0.0146798i
552552 −1.00314 15.5265i −0.0426965 0.660854i
553553 −0.724643 2.23022i −0.0308150 0.0948387i
554554 1.51443 0.0325746i 0.0643419 0.00138396i
555555 −7.03785 5.11330i −0.298740 0.217047i
556556 −1.38196 32.1097i −0.0586082 1.36175i
557557 −5.74085 + 17.6685i −0.243248 + 0.748639i 0.752672 + 0.658396i 0.228765π0.228765\pi
−0.995920 + 0.0902436i 0.971235π0.971235\pi
558558 −4.73959 6.23690i −0.200643 0.264029i
559559 −18.1610 24.9965i −0.768128 1.05724i
560560 19.2986 + 4.48068i 0.815514 + 0.189343i
561561 −1.95982 + 2.42275i −0.0827438 + 0.102289i
562562 4.65934 1.62549i 0.196542 0.0685672i
563563 6.88635 + 9.47824i 0.290225 + 0.399460i 0.929087 0.369861i 0.120595π-0.120595\pi
−0.638862 + 0.769321i 0.720595π0.720595\pi
564564 −6.36644 + 9.60568i −0.268076 + 0.404472i
565565 −7.42219 2.41162i −0.312254 0.101457i
566566 −27.7304 8.35529i −1.16560 0.351199i
567567 −3.00219 2.18122i −0.126080 0.0916027i
568568 21.2517 + 25.6008i 0.891701 + 1.07419i
569569 0.0584948 0.0190061i 0.00245223 0.000796778i −0.307791 0.951454i 0.599590π-0.599590\pi
0.310243 + 0.950657i 0.399590π0.399590\pi
570570 −13.8104 9.58696i −0.578454 0.401554i
571571 13.5141i 0.565549i −0.959186 0.282775i 0.908745π-0.908745\pi
0.959186 0.282775i 0.0912549π-0.0912549\pi
572572 −35.6300 + 25.4092i −1.48976 + 1.06241i
573573 16.9755i 0.709160i
574574 3.05814 4.40537i 0.127644 0.183876i
575575 −29.2625 + 9.50797i −1.22033 + 0.396510i
576576 −11.4418 + 1.48466i −0.476742 + 0.0618610i
577577 23.6007 + 17.1469i 0.982509 + 0.713834i 0.958268 0.285872i 0.0922831π-0.0922831\pi
0.0242409 + 0.999706i 0.492283π0.492283\pi
578578 6.70465 22.2521i 0.278877 0.925564i
579579 −6.39844 2.07898i −0.265910 0.0863994i
580580 0.478931 0.722611i 0.0198865 0.0300048i
581581 10.2739 + 14.1408i 0.426233 + 0.586659i
582582 6.59167 + 18.8945i 0.273233 + 0.783201i
583583 16.7027 4.48477i 0.691754 0.185740i
584584 −9.45687 + 14.9573i −0.391328 + 0.618939i
585585 19.3584 + 26.6446i 0.800372 + 1.10162i
586586 29.2659 22.2400i 1.20896 0.918724i
587587 −5.16224 + 15.8877i −0.213068 + 0.655757i 0.786217 + 0.617951i 0.212037π0.212037\pi
−0.999285 + 0.0378060i 0.987963π0.987963\pi
588588 −12.3510 + 0.531571i −0.509346 + 0.0219216i
589589 −8.54991 6.21187i −0.352293 0.255956i
590590 −0.648737 30.1605i −0.0267081 1.24169i
591591 −2.47898 7.62953i −0.101972 0.313837i
592592 −7.41814 + 3.13794i −0.304883 + 0.128969i
593593 25.8884i 1.06311i −0.847024 0.531555i 0.821608π-0.821608\pi
0.847024 0.531555i 0.178392π-0.178392\pi
594594 25.9935 + 0.788734i 1.06653 + 0.0323621i
595595 −3.72856 −0.152856
596596 −11.3949 + 40.9900i −0.466755 + 1.67902i
597597 4.29717 1.39624i 0.175871 0.0571441i
598598 0.884294 + 41.1119i 0.0361615 + 1.68119i
599599 −20.0324 + 27.5722i −0.818500 + 1.12657i 0.171456 + 0.985192i 0.445153π0.445153\pi
−0.989956 + 0.141377i 0.954847π0.954847\pi
600600 −9.11094 22.8987i −0.371953 0.934836i
601601 −13.2879 4.31751i −0.542026 0.176115i 0.0251919 0.999683i 0.491980π-0.491980\pi
−0.567218 + 0.823568i 0.691980π0.691980\pi
602602 −5.73418 7.54569i −0.233708 0.307539i
603603 −12.5027 + 9.08376i −0.509150 + 0.369919i
604604 24.9213 19.7980i 1.01403 0.805571i
605605 37.2348 7.95496i 1.51381 0.323415i
606606 5.13580 + 14.7213i 0.208627 + 0.598014i
607607 14.8915 10.8193i 0.604426 0.439141i −0.243021 0.970021i 0.578138π-0.578138\pi
0.847447 + 0.530880i 0.178138π0.178138\pi
608608 −14.2022 + 6.37114i −0.575977 + 0.258384i
609609 0.0691117 0.212704i 0.00280055 0.00861920i
610610 −13.7762 4.15084i −0.557784 0.168063i
611611 17.9022 24.6403i 0.724247 0.996840i
612612 2.03434 0.759168i 0.0822332 0.0306876i
613613 −1.90751 5.87070i −0.0770435 0.237115i 0.905116 0.425164i 0.139784π-0.139784\pi
−0.982160 + 0.188049i 0.939784π0.939784\pi
614614 −7.52764 + 10.8439i −0.303791 + 0.437623i
615615 −11.4488 −0.461660
616616 −10.7588 + 8.02706i −0.433484 + 0.323420i
617617 1.39128 0.0560109 0.0280054 0.999608i 0.491084π-0.491084\pi
0.0280054 + 0.999608i 0.491084π0.491084\pi
618618 17.7023 25.5009i 0.712092 1.02580i
619619 −3.39184 10.4390i −0.136330 0.419580i 0.859465 0.511195i 0.170797π-0.170797\pi
−0.995794 + 0.0916154i 0.970797π0.970797\pi
620620 −9.29584 24.9100i −0.373330 1.00041i
621621 14.3633 19.7693i 0.576378 0.793316i
622622 −26.3587 7.94199i −1.05689 0.318445i
623623 −4.72933 + 14.5554i −0.189477 + 0.583149i
624624 −32.8153 + 2.82991i −1.31366 + 0.113287i
625625 9.03643 6.56535i 0.361457 0.262614i
626626 6.89395 + 19.7610i 0.275538 + 0.789807i
627627 11.0010 2.95382i 0.439336 0.117964i
628628 2.59938 + 3.27204i 0.103727 + 0.130569i
629629 1.22634 0.890990i 0.0488975 0.0355261i
630630 6.11225 + 8.04320i 0.243518 + 0.320449i
631631 1.93780 + 0.629628i 0.0771425 + 0.0250651i 0.347334 0.937741i 0.387087π-0.387087\pi
−0.270192 + 0.962807i 0.587087π0.587087\pi
632632 1.71360 + 4.30682i 0.0681633 + 0.171316i
633633 −15.3572 + 21.1374i −0.610395 + 0.840136i
634634 0.964928 + 44.8606i 0.0383222 + 1.78164i
635635 45.6814 14.8428i 1.81281 0.589019i
636636 12.5408 + 3.48626i 0.497275 + 0.138239i
637637 32.6732 1.29456
638638 0.164480 + 0.563867i 0.00651183 + 0.0223237i
639639 16.9655i 0.671144i
640640 −38.6380 6.37882i −1.52730 0.252145i
641641 −1.03461 3.18420i −0.0408646 0.125768i 0.928543 0.371225i 0.121062π-0.121062\pi
−0.969408 + 0.245457i 0.921062π0.921062\pi
642642 0.176060 + 8.18522i 0.00694852 + 0.323045i
643643 −33.9880 24.6938i −1.34036 0.973827i −0.999431 0.0337372i 0.989259π-0.989259\pi
−0.340927 0.940090i 0.610741π-0.610741\pi
644644 0.542360 + 12.6016i 0.0213720 + 0.496574i
645645 −6.25221 + 19.2423i −0.246181 + 0.757666i
646646 2.33240 1.77246i 0.0917670 0.0697363i
647647 −6.76639 9.31313i −0.266014 0.366137i 0.655025 0.755607i 0.272658π-0.272658\pi
−0.921039 + 0.389470i 0.872658π0.872658\pi
648648 6.19988 + 3.91991i 0.243554 + 0.153989i
649649 15.8912 + 12.8548i 0.623785 + 0.504595i
650650 21.4552 + 61.4995i 0.841541 + 2.41221i
651651 −4.03178 5.54927i −0.158018 0.217493i
652652 18.2870 + 12.1202i 0.716173 + 0.474664i
653653 −39.9222 12.9715i −1.56227 0.507614i −0.604860 0.796331i 0.706771π-0.706771\pi
−0.957414 + 0.288718i 0.906771π0.906771\pi
654654 −6.03643 + 20.0343i −0.236043 + 0.783404i
655655 23.8241 + 17.3092i 0.930884 + 0.676327i
656656 −5.47083 + 9.07943i −0.213600 + 0.354492i
657657 −8.58166 + 2.78835i −0.334802 + 0.108784i
658658 5.32741 7.67434i 0.207684 0.299177i
659659 38.3263i 1.49298i 0.665396 + 0.746490i 0.268263π0.268263\pi
−0.665396 + 0.746490i 0.731737π0.731737\pi
660660 27.1750 + 9.09571i 1.05779 + 0.354050i
661661 12.9209i 0.502563i 0.967914 + 0.251281i 0.0808520π0.0808520\pi
−0.967914 + 0.251281i 0.919148π0.919148\pi
662662 0.537586 + 0.373184i 0.0208939 + 0.0145042i
663663 5.89530 1.91550i 0.228954 0.0743918i
664664 −22.0676 26.5838i −0.856390 1.03165i
665665 11.0261 + 8.01092i 0.427573 + 0.310650i
666666 −3.93239 1.18485i −0.152377 0.0459118i
667667 0.524910 + 0.170554i 0.0203246 + 0.00660387i
668668 21.6465 + 14.3468i 0.837528 + 0.555096i
669669 −1.94682 2.67957i −0.0752684 0.103598i
670670 −49.5268 + 17.2783i −1.91339 + 0.667518i
671671 8.17293 5.31360i 0.315513 0.205129i
672672 −10.0446 + 1.08428i −0.387477 + 0.0418270i
673673 −24.8122 34.1511i −0.956442 1.31643i −0.948606 0.316460i 0.897506π-0.897506\pi
−0.00783601 0.999969i 0.502494π-0.502494\pi
674674 −19.2269 25.3010i −0.740594 0.974559i
675675 11.9608 36.8116i 0.460371 1.41688i
676676 60.9945 2.62513i 2.34594 0.100967i
677677 6.94588 + 5.04648i 0.266952 + 0.193952i 0.713206 0.700954i 0.247242π-0.247242\pi
−0.446254 + 0.894906i 0.647242π0.647242\pi
678678 3.97874 0.0855805i 0.152803 0.00328670i
679679 −5.01310 15.4287i −0.192385 0.592101i
680680 7.35467 0.475171i 0.282039 0.0182220i
681681 4.34604i 0.166541i
682682 16.9559 + 6.08380i 0.649276 + 0.232961i
683683 28.2213 1.07986 0.539928 0.841711i 0.318451π-0.318451\pi
0.539928 + 0.841711i 0.318451π0.318451\pi
684684 −7.64704 2.12583i −0.292392 0.0812830i
685685 16.0121 5.20265i 0.611792 0.198783i
686686 24.1818 0.520138i 0.923267 0.0198590i
687687 −9.66755 + 13.3062i −0.368840 + 0.507665i
688688 12.2724 + 14.1533i 0.467882 + 0.539589i
689689 −32.7178 10.6307i −1.24645 0.404996i
690690 21.4395 16.2925i 0.816188 0.620244i
691691 8.43429 6.12787i 0.320855 0.233115i −0.415685 0.909509i 0.636458π-0.636458\pi
0.736540 + 0.676394i 0.236458π0.236458\pi
692692 5.45378 4.33261i 0.207322 0.164701i
693693 −6.83535 0.354665i −0.259654 0.0134726i
694694 24.1416 8.42222i 0.916403 0.319703i
695695 45.0001 32.6945i 1.70695 1.24017i
696696 −0.109217 + 0.428372i −0.00413987 + 0.0162374i
697697 0.616473 1.89731i 0.0233506 0.0718657i
698698 0.129835 0.430909i 0.00491432 0.0163102i
699699 −5.12042 + 7.04766i −0.193672 + 0.266567i
700700 6.98515 + 18.7181i 0.264014 + 0.707476i
701701 6.36425 + 19.5871i 0.240374 + 0.739796i 0.996363 + 0.0852113i 0.0271565π0.0271565\pi
−0.755989 + 0.654585i 0.772843π0.772843\pi
702702 −42.4944 29.4990i −1.60385 1.11337i
703703 −5.54086 −0.208978
704704 20.1990 17.2047i 0.761278 0.648426i
705705 −19.9443 −0.751146
706706 41.6253 + 28.8957i 1.56659 + 1.08750i
707707 −3.90588 12.0211i −0.146896 0.452099i
708708 5.37852 + 14.4128i 0.202137 + 0.541665i
709709 −10.4287 + 14.3539i −0.391658 + 0.539071i −0.958626 0.284669i 0.908116π-0.908116\pi
0.566968 + 0.823740i 0.308116π0.308116\pi
710710 −16.6125 + 55.1353i −0.623457 + 2.06919i
711711 −0.730359 + 2.24782i −0.0273906 + 0.0842996i
712712 7.47377 29.3136i 0.280091 1.09857i
713713 13.6945 9.94961i 0.512862 0.372616i
714714 1.79523 0.626298i 0.0671849 0.0234386i
715715 −70.7221 27.1055i −2.64486 1.01369i
716716 −4.23499 + 3.36437i −0.158269 + 0.125733i
717717 2.40744 1.74910i 0.0899074 0.0653215i
718718 −26.1461 + 19.8692i −0.975764 + 0.741510i
719719 39.9775 + 12.9895i 1.49091 + 0.484426i 0.937351 0.348385i 0.113270π-0.113270\pi
0.553557 + 0.832811i 0.313270π0.313270\pi
720720 −13.0816 15.0865i −0.487522 0.562239i
721721 −14.7922 + 20.3597i −0.550889 + 0.758234i
722722 16.1583 0.347556i 0.601350 0.0129347i
723723 −11.8755 + 3.85858i −0.441654 + 0.143502i
724724 21.3801 + 5.94354i 0.794587 + 0.220890i
725725 0.874223 0.0324678
726726 −16.5917 + 10.0846i −0.615775 + 0.374276i
727727 28.2673i 1.04838i 0.851602 + 0.524189i 0.175631π0.175631\pi
−0.851602 + 0.524189i 0.824369π0.824369\pi
728728 26.6459 1.72154i 0.987563 0.0638045i
729729 7.57098 + 23.3011i 0.280407 + 0.863004i
730730 −30.6194 + 0.658608i −1.13328 + 0.0243762i
731731 −2.85221 2.07225i −0.105493 0.0766449i
732732 7.33025 0.315485i 0.270934 0.0116607i
733733 10.0445 30.9137i 0.371001 1.14182i −0.575137 0.818057i 0.695051π-0.695051\pi
0.946137 0.323765i 0.104949π-0.104949\pi
734734 11.2240 + 14.7698i 0.414285 + 0.545164i
735735 −12.5759 17.3093i −0.463870 0.638463i
736736 −2.67579 24.7879i −0.0986308 0.913695i
737737 12.7190 33.1857i 0.468511 1.22241i
738738 −5.10344 + 1.78042i −0.187860 + 0.0655383i
739739 13.9205 + 19.1599i 0.512075 + 0.704810i 0.984267 0.176685i 0.0565374π-0.0565374\pi
−0.472193 + 0.881495i 0.656537π0.656537\pi
740740 −11.6195 7.70115i −0.427141 0.283100i
741741 −21.5491 7.00172i −0.791625 0.257215i
742742 −10.1035 3.04422i −0.370910 0.111757i
743743 −10.1076 7.34362i −0.370813 0.269411i 0.386735 0.922191i 0.373603π-0.373603\pi
−0.757548 + 0.652780i 0.773603π0.773603\pi
744744 8.65999 + 10.4323i 0.317491 + 0.382465i
745745 −70.0273 + 22.7532i −2.56560 + 0.833614i
746746 −12.9196 8.96857i −0.473019 0.328363i
747747 17.6169i 0.644568i
748748 −2.97062 + 4.01372i −0.108617 + 0.146756i
749749 6.63713i 0.242515i
750750 6.90228 9.94300i 0.252036 0.363067i
751751 4.15146 1.34889i 0.151489 0.0492217i −0.232291 0.972646i 0.574622π-0.574622\pi
0.383780 + 0.923425i 0.374622π0.374622\pi
752752 −9.53042 + 15.8168i −0.347539 + 0.576778i
753753 17.6325 + 12.8108i 0.642563 + 0.466850i
754754 0.337070 1.11870i 0.0122754 0.0407408i
755755 52.3886 + 17.0221i 1.90662 + 0.619497i
756756 −13.2260 8.76593i −0.481026 0.318814i
757757 −11.5578 15.9080i −0.420076 0.578185i 0.545564 0.838069i 0.316316π-0.316316\pi
−0.965640 + 0.259884i 0.916316π0.916316\pi
758758 2.05451 + 5.88908i 0.0746231 + 0.213901i
759759 −0.945375 + 18.2199i −0.0343149 + 0.661342i
760760 −22.7701 14.3966i −0.825960 0.522218i
761761 6.31497 + 8.69181i 0.228917 + 0.315078i 0.907989 0.418995i 0.137617π-0.137617\pi
−0.679071 + 0.734072i 0.737617π0.737617\pi
762762 −19.5016 + 14.8198i −0.706468 + 0.536865i
763763 5.24175 16.1324i 0.189764 0.584034i
764764 −1.16965 27.1767i −0.0423165 0.983217i
765765 3.04026 + 2.20888i 0.109921 + 0.0798622i
766766 0.0543449 + 2.52656i 0.00196356 + 0.0912883i
767767 −12.5641 38.6682i −0.453662 1.39623i
768768 19.6750 3.41886i 0.709959 0.123367i
769769 28.3787i 1.02336i 0.859176 + 0.511680i 0.170977π0.170977\pi
−0.859176 + 0.511680i 0.829023π0.829023\pi
770770 −21.8666 7.84575i −0.788018 0.282741i
771771 −10.1798 −0.366616
772772 −10.3868 2.88745i −0.373828 0.103922i
773773 −12.7726 + 4.15006i −0.459398 + 0.149267i −0.529568 0.848268i 0.677646π-0.677646\pi
0.0701700 + 0.997535i 0.477646π0.477646\pi
774774 0.205411 + 9.54980i 0.00738335 + 0.343260i
775775 15.7598 21.6915i 0.566108 0.779180i
776776 11.8547 + 29.7947i 0.425560 + 1.06957i
777777 −3.42025 1.11131i −0.122701 0.0398679i
778778 −16.0862 21.1680i −0.576717 0.758910i
779779 −5.89946 + 4.28621i −0.211370 + 0.153569i
780780 −35.4580 44.6337i −1.26960 1.59814i
781781 −21.2661 32.7097i −0.760962 1.17045i
782782 1.54558 + 4.43027i 0.0552697 + 0.158426i
783783 −0.561706 + 0.408103i −0.0200737 + 0.0145844i
784784 −19.7365 + 1.70203i −0.704876 + 0.0607866i
785785 −2.23491 + 6.87836i −0.0797675 + 0.245499i
786786 −14.3783 4.33226i −0.512859 0.154527i
787787 31.3392 43.1347i 1.11712 1.53759i 0.306635 0.951827i 0.400797π-0.400797\pi
0.810486 0.585758i 0.199203π-0.199203\pi
788788 −4.49439 12.0436i −0.160106 0.429035i
789789 −8.13787 25.0458i −0.289716 0.891654i
790790 −4.57461 + 6.58990i −0.162757 + 0.234458i
791791 −3.22623 −0.114712
792792 13.5281 0.171520i 0.480700 0.00609469i
793793 −19.3914 −0.688608
794794 13.6632 19.6824i 0.484890 0.698503i
795795 6.96131 + 21.4247i 0.246892 + 0.759856i
796796 6.78330 2.53137i 0.240428 0.0897221i
797797 −7.58342 + 10.4377i −0.268619 + 0.369722i −0.921923 0.387374i 0.873382π-0.873382\pi
0.653304 + 0.757096i 0.273382π0.273382\pi
798798 −6.65448 2.00503i −0.235566 0.0709771i
799799 1.07392 3.30519i 0.0379927 0.116929i
800800 −16.1638 36.0316i −0.571478 1.27391i
801801 12.4792 9.06669i 0.440932 0.320356i
802802 12.6892 + 36.3726i 0.448072 + 1.28436i
803803 13.0504 16.1330i 0.460538 0.569322i
804804 20.9440 16.6384i 0.738636 0.586790i
805805 −17.6606 + 12.8312i −0.622454 + 0.452239i
806806 −21.6812 28.5305i −0.763686 1.00495i
807807 24.8949 + 8.08884i 0.876341 + 0.284741i
808808 9.23643 + 23.2141i 0.324937 + 0.816669i
809809 11.5869 15.9479i 0.407372 0.560700i −0.555203 0.831715i 0.687359π-0.687359\pi
0.962575 + 0.271015i 0.0873594π0.0873594\pi
810810 0.272996 + 12.6919i 0.00959209 + 0.445947i
811811 3.05542 0.992767i 0.107290 0.0348608i −0.254880 0.966973i 0.582036π-0.582036\pi
0.362170 + 0.932112i 0.382036π0.382036\pi
812812 0.0959878 0.345288i 0.00336851 0.0121172i
813813 −24.8973 −0.873187
814814 9.06690 2.64482i 0.317795 0.0927008i
815815 37.9693i 1.33001i
816816 −3.46132 + 1.46417i −0.121171 + 0.0512564i
817817 3.98225 + 12.2561i 0.139321 + 0.428787i
818818 −0.440602 20.4841i −0.0154053 0.716210i
819819 11.0148 + 8.00275i 0.384889 + 0.279639i
820820 −18.3288 + 0.788850i −0.640070 + 0.0275479i
821821 10.5519 32.4755i 0.368265 1.13340i −0.579647 0.814868i 0.696809π-0.696809\pi
0.947911 0.318534i 0.103191π-0.103191\pi
822822 −6.83564 + 5.19459i −0.238420 + 0.181182i
823823 −11.0334 15.1861i −0.384599 0.529355i 0.572197 0.820116i 0.306091π-0.306091\pi
−0.956796 + 0.290762i 0.906091π0.906091\pi
824824 26.5833 42.0451i 0.926072 1.46471i
825825 7.49397 + 27.9099i 0.260907 + 0.971697i
826826 −4.10799 11.7752i −0.142935 0.409712i
827827 −28.3862 39.0702i −0.987084 1.35860i −0.932925 0.360072i 0.882752π-0.882752\pi
−0.0541588 0.998532i 0.517248π-0.517248\pi
828828 7.02325 10.5967i 0.244075 0.368260i
829829 23.8963 + 7.76436i 0.829951 + 0.269668i 0.693025 0.720914i 0.256278π-0.256278\pi
0.136926 + 0.990581i 0.456278π0.456278\pi
830830 17.2504 57.2523i 0.598769 1.98725i
831831 −1.08155 0.785790i −0.0375185 0.0272588i
832832 −52.3403 + 6.79156i −1.81457 + 0.235455i
833833 3.54568 1.15206i 0.122851 0.0399166i
834834 −16.1749 + 23.3006i −0.560092 + 0.806835i
835835 44.9447i 1.55537i
836836 17.4083 5.48688i 0.602079 0.189768i
837837 21.2941i 0.736033i
838838 34.3020 + 23.8120i 1.18494 + 0.822570i
839839 −9.12336 + 2.96436i −0.314973 + 0.102341i −0.462238 0.886756i 0.652953π-0.652953\pi
0.147264 + 0.989097i 0.452953π0.452953\pi
840840 −11.1681 13.4536i −0.385334 0.464193i
841841 23.4488 + 17.0366i 0.808580 + 0.587467i
842842 −35.8723 10.8085i −1.23624 0.372485i
843843 −4.14199 1.34581i −0.142658 0.0463523i
844844 −23.1295 + 34.8978i −0.796152 + 1.20123i
845845 62.1055 + 85.4808i 2.13649 + 2.94063i
846846 −8.89042 + 3.10158i −0.305659 + 0.106634i
847847 13.6232 7.88427i 0.468100 0.270907i
848848 20.3173 + 4.71720i 0.697698 + 0.161989i
849849 15.0239 + 20.6786i 0.515619 + 0.709689i
850850 4.49679 + 5.91739i 0.154239 + 0.202965i
851851 2.74248 8.44049i 0.0940110 0.289336i
852852 −1.26264 29.3371i −0.0432572 1.00507i
853853 21.4801 + 15.6062i 0.735466 + 0.534347i 0.891288 0.453438i 0.149803π-0.149803\pi
−0.155822 + 0.987785i 0.549803π0.549803\pi
854854 −5.94661 + 0.127908i −0.203489 + 0.00437693i
855855 −4.24481 13.0642i −0.145170 0.446786i
856856 0.845843 + 13.0919i 0.0289103 + 0.447472i
857857 9.29115i 0.317380i 0.987328 + 0.158690i 0.0507270π0.0507270\pi
−0.987328 + 0.158690i 0.949273π0.949273\pi
858858 38.6044 + 1.17139i 1.31793 + 0.0399907i
859859 0.473127 0.0161429 0.00807145 0.999967i 0.497431π-0.497431\pi
0.00807145 + 0.999967i 0.497431π0.497431\pi
860860 −8.68356 + 31.2366i −0.296107 + 1.06516i
861861 −4.50127 + 1.46255i −0.153403 + 0.0498436i
862862 27.3506 0.588298i 0.931567 0.0200375i
863863 −3.66396 + 5.04300i −0.124723 + 0.171666i −0.866812 0.498635i 0.833835π-0.833835\pi
0.742090 + 0.670301i 0.233835π0.233835\pi
864864 27.2058 + 15.6055i 0.925560 + 0.530909i
865865 11.4647 + 3.72512i 0.389813 + 0.126658i
866866 −7.32960 + 5.56996i −0.249070 + 0.189275i
867867 −16.5934 + 12.0558i −0.563542 + 0.409437i
868868 −6.83699 8.60624i −0.232063 0.292115i
869869 −1.40948 5.24932i −0.0478132 0.178071i
870870 −0.722395 + 0.252020i −0.0244915 + 0.00854428i
871871 −57.1934 + 41.5534i −1.93792 + 1.40798i
872872 −8.28354 + 32.4896i −0.280516 + 1.10024i
873873 −5.05265 + 15.5505i −0.171006 + 0.526303i
874874 4.94799 16.4219i 0.167368 0.555479i
875875 −5.76759 + 7.93840i −0.194980 + 0.268367i
876876 14.6321 5.46036i 0.494372 0.184488i
877877 −17.9712 55.3096i −0.606844 1.86767i −0.483582 0.875299i 0.660664π-0.660664\pi
−0.123262 0.992374i 0.539336π-0.539336\pi
878878 4.52278 + 3.13964i 0.152636 + 0.105958i
879879 −32.4402 −1.09418
880880 44.1323 + 12.6892i 1.48770 + 0.427754i
881881 −21.4583 −0.722949 −0.361475 0.932382i 0.617727π-0.617727\pi
−0.361475 + 0.932382i 0.617727π0.617727\pi
882882 −8.29768 5.76012i −0.279397 0.193953i
883883 −11.8139 36.3594i −0.397569 1.22359i −0.926942 0.375204i 0.877573π-0.877573\pi
0.529373 0.848389i 0.322427π-0.322427\pi
884884 9.30603 3.47280i 0.312996 0.116803i
885885 −15.6494 + 21.5395i −0.526047 + 0.724042i
886886 11.9952 39.8108i 0.402986 1.33747i
887887 −11.8654 + 36.5179i −0.398400 + 1.22615i 0.527881 + 0.849318i 0.322987π0.322987\pi
−0.926281 + 0.376832i 0.877013π0.877013\pi
888888 6.88816 + 1.75620i 0.231151 + 0.0589342i
889889 16.0643 11.6714i 0.538778 0.391445i
890890 49.4337 17.2458i 1.65702 0.578080i
891891 −6.68720 5.40944i −0.224030 0.181223i
892892 −3.30137 4.15568i −0.110538 0.139142i
893893 −10.2771 + 7.46676i −0.343911 + 0.249866i
894894 29.8949 22.7180i 0.999836 0.759803i
895895 −8.90264 2.89264i −0.297582 0.0966904i
896896 −16.0060 + 2.42796i −0.534723 + 0.0811125i
897897 21.3317 29.3605i 0.712244 0.980320i
898898 −33.8510 + 0.728118i −1.12962 + 0.0242976i
899899 −0.457415 + 0.148623i −0.0152557 + 0.00495686i
900900 5.39331 19.4008i 0.179777 0.646695i
901901 −3.92537 −0.130773
902902 7.60777 9.82981i 0.253311 0.327297i
903903 8.36413i 0.278341i
904904 6.36382 0.411154i 0.211657 0.0136748i
905905 11.8680 + 36.5258i 0.394504 + 1.21416i
906906 −28.0834 + 0.604059i −0.933009 + 0.0200685i
907907 −0.530037 0.385095i −0.0175996 0.0127869i 0.578951 0.815363i 0.303462π-0.303462\pi
−0.596550 + 0.802576i 0.703462π0.703462\pi
908908 −0.299453 6.95775i −0.00993771 0.230901i
909909 −3.93670 + 12.1159i −0.130572 + 0.401859i
910910 27.9603 + 36.7934i 0.926876 + 1.21969i
911911 28.8473 + 39.7049i 0.955754 + 1.31548i 0.948924 + 0.315506i 0.102174π0.102174\pi
0.00683066 + 0.999977i 0.497826π0.497826\pi
912912 13.3817 + 3.10691i 0.443111 + 0.102880i
913913 22.0826 + 33.9656i 0.730828 + 1.12410i
914914 45.0096 15.7024i 1.48879 0.519389i
915915 7.46376 + 10.2730i 0.246744 + 0.339614i
916916 −14.5603 + 21.9686i −0.481087 + 0.725863i
917917 11.5780 + 3.76193i 0.382340 + 0.124230i
918918 −5.65162 1.70286i −0.186531 0.0562027i
919919 −16.4110 11.9233i −0.541350 0.393314i 0.283236 0.959050i 0.408592π-0.408592\pi
−0.824586 + 0.565736i 0.808592π0.808592\pi
920920 33.2007 27.5605i 1.09460 0.908642i
921921 11.0799 3.60009i 0.365096 0.118627i
922922 −1.33492 0.926684i −0.0439634 0.0305187i
923923 77.6082i 2.55451i
924924 11.8463 + 0.104582i 0.389713 + 0.00344050i
925925 14.0574i 0.462204i
926926 −28.6853 + 41.3223i −0.942657 + 1.35793i
927927 24.1230 7.83805i 0.792305 0.257435i
928928 −0.145334 + 0.693322i −0.00477083 + 0.0227594i
929929 −20.9664 15.2330i −0.687887 0.499779i 0.188078 0.982154i 0.439774π-0.439774\pi
−0.875965 + 0.482375i 0.839774π0.839774\pi
930930 −6.76955 + 22.4675i −0.221982 + 0.736737i
931931 −12.9605 4.21113i −0.424764 0.138014i
932932 −7.71188 + 11.6357i −0.252611 + 0.381139i
933933 14.2807 + 19.6557i 0.467530 + 0.643500i
934934 −4.47113 12.8161i −0.146300 0.419357i
935935 −8.63049 0.447809i −0.282247 0.0146449i
936936 −22.7469 14.3819i −0.743506 0.470086i
937937 −25.0688 34.5043i −0.818962 1.12721i −0.989878 0.141920i 0.954673π-0.954673\pi
0.170916 0.985286i 0.445327π-0.445327\pi
938938 −17.2650 + 13.1201i −0.563722 + 0.428388i
939939 5.70780 17.5668i 0.186267 0.573271i
940940 −31.9296 + 1.37421i −1.04143 + 0.0448219i
941941 −2.92074 2.12204i −0.0952134 0.0691766i 0.539160 0.842203i 0.318742π-0.318742\pi
−0.634373 + 0.773027i 0.718742π0.718742\pi
942942 −0.0793100 3.68721i −0.00258406 0.120136i
943943 −3.60928 11.1082i −0.117534 0.361734i
944944 9.60375 + 22.7034i 0.312576 + 0.738932i
945945 27.4612i 0.893314i
946946 −12.3666 18.1547i −0.402074 0.590260i
947947 24.5514 0.797813 0.398907 0.916992i 0.369390π-0.369390\pi
0.398907 + 0.916992i 0.369390π0.369390\pi
948948 1.09566 3.94133i 0.0355855 0.128008i
949949 −39.2566 + 12.7552i −1.27432 + 0.414052i
950950 −0.584206 27.1604i −0.0189541 0.881200i
951951 23.2768 32.0377i 0.754801 1.03889i
952952 2.83090 1.12636i 0.0917501 0.0365056i
953953 −4.79500 1.55799i −0.155325 0.0504682i 0.230322 0.973114i 0.426022π-0.426022\pi
−0.385648 + 0.922646i 0.626022π0.626022\pi
954954 6.43489 + 8.46776i 0.208337 + 0.274154i
955955 38.0868 27.6717i 1.23246 0.895434i
956956 3.73364 2.96609i 0.120755 0.0959301i
957957 0.185519 0.484045i 0.00599698 0.0156470i
958958 6.11053 + 17.5153i 0.197422 + 0.565895i
959959 5.63079 4.09101i 0.181828 0.132106i
960960 23.7438 + 25.1143i 0.766328 + 0.810560i
961961 5.02130 15.4540i 0.161978 0.498516i
962962 −17.9886 5.42005i −0.579976 0.174749i
963963 −3.93198 + 5.41191i −0.126706 + 0.174396i
964964 −18.7460 + 6.99559i −0.603769 + 0.225313i
965965 −5.76561 17.7447i −0.185602 0.571223i
966966 6.34796 9.14448i 0.204242 0.294219i
967967 32.9415 1.05933 0.529664 0.848208i 0.322318π-0.322318\pi
0.529664 + 0.848208i 0.322318π0.322318\pi
968968 −25.8674 + 17.2881i −0.831410 + 0.555660i
969969 −2.58538 −0.0830545
970970 −31.6473 + 45.5892i −1.01613 + 1.46378i
971971 14.2466 + 43.8466i 0.457196 + 1.40710i 0.868538 + 0.495623i 0.165060π0.165060\pi
−0.411342 + 0.911481i 0.634940π0.634940\pi
972972 9.36741 + 25.1018i 0.300460 + 0.805140i
973973 13.5159 18.6030i 0.433299 0.596385i
974974 −18.7665 5.65444i −0.601318 0.181180i
975975 17.7637 54.6709i 0.568892 1.75087i
976976 11.7135 1.01014i 0.374941 0.0323339i
977977 26.4008 19.1813i 0.844635 0.613664i −0.0790263 0.996873i 0.525181π-0.525181\pi
0.923662 + 0.383209i 0.125181π0.125181\pi
978978 −6.37782 18.2815i −0.203940 0.584578i
979979 −12.6951 + 33.1233i −0.405738 + 1.05863i
980980 −21.3259 26.8446i −0.681232 0.857519i
981981 −13.8313 + 10.0490i −0.441600 + 0.320841i
982982 −6.95305 9.14962i −0.221881 0.291976i
983983 −8.03767 2.61160i −0.256362 0.0832970i 0.178017 0.984027i 0.443032π-0.443032\pi
−0.434378 + 0.900730i 0.643032π0.643032\pi
984984 8.69248 3.45857i 0.277106 0.110255i
985985 13.0769 17.9988i 0.416665 0.573490i
986986 −0.00286692 0.133287i −9.13014e−5 0.00424471i
987987 −7.84141 + 2.54783i −0.249595 + 0.0810983i
988988 −34.9812 9.72454i −1.11290 0.309379i
989989 −20.6410 −0.656345
990990 13.1820 + 19.3517i 0.418952 + 0.615037i
991991 29.6890i 0.943104i −0.881838 0.471552i 0.843694π-0.843694\pi
0.881838 0.471552i 0.156306π-0.156306\pi
992992 14.5829 + 16.1047i 0.463008 + 0.511325i
993993 −0.178475 0.549289i −0.00566373 0.0174312i
994994 0.511915 + 23.7995i 0.0162370 + 0.754875i
995995 10.1375 + 7.36529i 0.321379 + 0.233495i
996996 1.31111 + 30.4635i 0.0415443 + 0.965274i
997997 −0.571855 + 1.75999i −0.0181108 + 0.0557394i −0.959703 0.281015i 0.909329π-0.909329\pi
0.941593 + 0.336754i 0.109329π0.109329\pi
998998 7.40743 5.62911i 0.234478 0.178186i
999999 6.56224 + 9.03215i 0.207620 + 0.285765i
Display apa_p with pp up to: 50 250 1000 (See ana_n instead) (See ana_n instead) (See ana_n instead) Display ana_n with nn up to: 50 250 1000 (See only apa_p) (See only apa_p) (See only apa_p)

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 88.2.k.b.19.3 32
3.2 odd 2 792.2.bp.b.19.6 32
4.3 odd 2 352.2.s.b.239.3 32
8.3 odd 2 inner 88.2.k.b.19.5 yes 32
8.5 even 2 352.2.s.b.239.4 32
11.2 odd 10 968.2.g.e.483.15 32
11.3 even 5 968.2.k.e.699.2 32
11.4 even 5 968.2.k.h.403.4 32
11.5 even 5 968.2.k.i.475.8 32
11.6 odd 10 968.2.k.e.475.1 32
11.7 odd 10 inner 88.2.k.b.51.5 yes 32
11.8 odd 10 968.2.k.i.699.7 32
11.9 even 5 968.2.g.e.483.18 32
11.10 odd 2 968.2.k.h.723.6 32
24.11 even 2 792.2.bp.b.19.4 32
33.29 even 10 792.2.bp.b.667.4 32
44.7 even 10 352.2.s.b.271.4 32
44.31 odd 10 3872.2.g.d.1935.10 32
44.35 even 10 3872.2.g.d.1935.9 32
88.3 odd 10 968.2.k.e.699.1 32
88.13 odd 10 3872.2.g.d.1935.11 32
88.19 even 10 968.2.k.i.699.8 32
88.27 odd 10 968.2.k.i.475.7 32
88.29 odd 10 352.2.s.b.271.3 32
88.35 even 10 968.2.g.e.483.17 32
88.43 even 2 968.2.k.h.723.4 32
88.51 even 10 inner 88.2.k.b.51.3 yes 32
88.53 even 10 3872.2.g.d.1935.12 32
88.59 odd 10 968.2.k.h.403.6 32
88.75 odd 10 968.2.g.e.483.16 32
88.83 even 10 968.2.k.e.475.2 32
264.227 odd 10 792.2.bp.b.667.6 32
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
88.2.k.b.19.3 32 1.1 even 1 trivial
88.2.k.b.19.5 yes 32 8.3 odd 2 inner
88.2.k.b.51.3 yes 32 88.51 even 10 inner
88.2.k.b.51.5 yes 32 11.7 odd 10 inner
352.2.s.b.239.3 32 4.3 odd 2
352.2.s.b.239.4 32 8.5 even 2
352.2.s.b.271.3 32 88.29 odd 10
352.2.s.b.271.4 32 44.7 even 10
792.2.bp.b.19.4 32 24.11 even 2
792.2.bp.b.19.6 32 3.2 odd 2
792.2.bp.b.667.4 32 33.29 even 10
792.2.bp.b.667.6 32 264.227 odd 10
968.2.g.e.483.15 32 11.2 odd 10
968.2.g.e.483.16 32 88.75 odd 10
968.2.g.e.483.17 32 88.35 even 10
968.2.g.e.483.18 32 11.9 even 5
968.2.k.e.475.1 32 11.6 odd 10
968.2.k.e.475.2 32 88.83 even 10
968.2.k.e.699.1 32 88.3 odd 10
968.2.k.e.699.2 32 11.3 even 5
968.2.k.h.403.4 32 11.4 even 5
968.2.k.h.403.6 32 88.59 odd 10
968.2.k.h.723.4 32 88.43 even 2
968.2.k.h.723.6 32 11.10 odd 2
968.2.k.i.475.7 32 88.27 odd 10
968.2.k.i.475.8 32 11.5 even 5
968.2.k.i.699.7 32 11.8 odd 10
968.2.k.i.699.8 32 88.19 even 10
3872.2.g.d.1935.9 32 44.35 even 10
3872.2.g.d.1935.10 32 44.31 odd 10
3872.2.g.d.1935.11 32 88.13 odd 10
3872.2.g.d.1935.12 32 88.53 even 10