Properties

Label 88.2.k.b.35.6
Level 8888
Weight 22
Character 88.35
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 35.6
Character χ\chi == 88.35
Dual form 88.2.k.b.83.6

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+(0.6126881.27460i)q2+(0.903665+0.656551i)q3+(1.249231.56187i)q4+(3.740561.21538i)q5+(0.283177+1.55407i)q6+(2.258321.64076i)q7+(2.75615+0.635331i)q8+(0.541500+1.66657i)q9+(0.7426665.51238i)q10+(3.00002+1.41418i)q11+(2.15433+0.591224i)q12+(0.653051+2.00988i)q13+(3.47497+1.87318i)q14+(2.58225+3.55416i)q15+(0.878863+3.90226i)q16+(4.42965+1.43928i)q17+(1.79244+1.71128i)q18+(2.18382+3.00577i)q19+(6.571074.32397i)q20+3.11801q21+(3.640592.95738i)q22+0.854640iq23+(2.073512.38368i)q24+(8.469536.15347i)q25+(2.16169+2.06381i)q26+(1.640365.04850i)q27+(0.258495+5.57688i)q28+(4.362103.16925i)q29+(2.94803+5.46894i)q30+(0.7968720.258919i)q31+(4.43536+3.51107i)q32+(3.63949+0.691723i)q33+(0.879482+6.52788i)q34+(10.44153.39265i)q35+(3.279411.23617i)q36+(2.134562.93797i)q37+(5.169160.941903i)q38+(0.7294522.24502i)q39+(9.53736+5.72626i)q40+(2.178902.99900i)q41+(1.910363.97422i)q421.38448iq43+(1.538956.45226i)q44+6.89201iq45+(1.08933+0.523628i)q46+(0.7990461.09979i)q47+(1.767834.10335i)q48+(0.244772+0.753330i)q49+(2.6540614.5655i)q50+(3.057964.20892i)q51+(3.954981.49082i)q52+(4.014701.30446i)q53+(7.439871.00235i)q54+(12.9405+1.64365i)q55+(7.26668+3.08741i)q56+(3.946881.28242i)q57+(6.71215+3.61819i)q58+(6.80468+4.94389i)q59+(8.776950.406822i)q60+(0.970728+2.98759i)q61+(0.818253+0.857059i)q62+(3.957322.87516i)q63+(7.192713.50213i)q64+8.31179iq65+(1.34820+5.06271i)q66+3.45851q67+(7.78161+5.12054i)q68+(0.5611150.772308i)q69+(10.7217+11.2302i)q70+(11.7395+3.81439i)q71+(0.4336334.93733i)q72+(1.908292.62654i)q73+(2.436934.52077i)q74+(3.61355+11.1214i)q75+(1.966537.16572i)q76+(4.454668.11598i)q77+(3.308440.445736i)q78+(3.5999711.0796i)q79+(1.45529+15.6648i)q80+(0.543938+0.395194i)q81+(5.15752+0.939783i)q82+(0.8709740.282997i)q83+(3.895104.86991i)q84+(14.8201+10.7674i)q85+(1.764660.848252i)q86+6.02266q87+(9.166961.99168i)q88+7.98458q89+(8.78458+4.22265i)q90+(4.772543.46745i)q91+(1.334831.06764i)q92+(0.8900990.289211i)q93+(1.89137+0.344637i)q94+(11.8218+8.58907i)q95+(6.313270.260789i)q96+(3.44331+10.5974i)q97+(1.11017+0.149569i)q98+(3.98133+4.23395i)q99+O(q100)q+(0.612688 - 1.27460i) q^{2} +(-0.903665 + 0.656551i) q^{3} +(-1.24923 - 1.56187i) q^{4} +(3.74056 - 1.21538i) q^{5} +(0.283177 + 1.55407i) q^{6} +(-2.25832 - 1.64076i) q^{7} +(-2.75615 + 0.635331i) q^{8} +(-0.541500 + 1.66657i) q^{9} +(0.742666 - 5.51238i) q^{10} +(3.00002 + 1.41418i) q^{11} +(2.15433 + 0.591224i) q^{12} +(-0.653051 + 2.00988i) q^{13} +(-3.47497 + 1.87318i) q^{14} +(-2.58225 + 3.55416i) q^{15} +(-0.878863 + 3.90226i) q^{16} +(-4.42965 + 1.43928i) q^{17} +(1.79244 + 1.71128i) q^{18} +(2.18382 + 3.00577i) q^{19} +(-6.57107 - 4.32397i) q^{20} +3.11801 q^{21} +(3.64059 - 2.95738i) q^{22} +0.854640i q^{23} +(2.07351 - 2.38368i) q^{24} +(8.46953 - 6.15347i) q^{25} +(2.16169 + 2.06381i) q^{26} +(-1.64036 - 5.04850i) q^{27} +(0.258495 + 5.57688i) q^{28} +(-4.36210 - 3.16925i) q^{29} +(2.94803 + 5.46894i) q^{30} +(-0.796872 - 0.258919i) q^{31} +(4.43536 + 3.51107i) q^{32} +(-3.63949 + 0.691723i) q^{33} +(-0.879482 + 6.52788i) q^{34} +(-10.4415 - 3.39265i) q^{35} +(3.27941 - 1.23617i) q^{36} +(2.13456 - 2.93797i) q^{37} +(5.16916 - 0.941903i) q^{38} +(-0.729452 - 2.24502i) q^{39} +(-9.53736 + 5.72626i) q^{40} +(-2.17890 - 2.99900i) q^{41} +(1.91036 - 3.97422i) q^{42} -1.38448i q^{43} +(-1.53895 - 6.45226i) q^{44} +6.89201i q^{45} +(1.08933 + 0.523628i) q^{46} +(-0.799046 - 1.09979i) q^{47} +(-1.76783 - 4.10335i) q^{48} +(0.244772 + 0.753330i) q^{49} +(-2.65406 - 14.5655i) q^{50} +(3.05796 - 4.20892i) q^{51} +(3.95498 - 1.49082i) q^{52} +(-4.01470 - 1.30446i) q^{53} +(-7.43987 - 1.00235i) q^{54} +(12.9405 + 1.64365i) q^{55} +(7.26668 + 3.08741i) q^{56} +(-3.94688 - 1.28242i) q^{57} +(-6.71215 + 3.61819i) q^{58} +(6.80468 + 4.94389i) q^{59} +(8.77695 - 0.406822i) q^{60} +(0.970728 + 2.98759i) q^{61} +(-0.818253 + 0.857059i) q^{62} +(3.95732 - 2.87516i) q^{63} +(7.19271 - 3.50213i) q^{64} +8.31179i q^{65} +(-1.34820 + 5.06271i) q^{66} +3.45851 q^{67} +(7.78161 + 5.12054i) q^{68} +(-0.561115 - 0.772308i) q^{69} +(-10.7217 + 11.2302i) q^{70} +(-11.7395 + 3.81439i) q^{71} +(0.433633 - 4.93733i) q^{72} +(1.90829 - 2.62654i) q^{73} +(-2.43693 - 4.52077i) q^{74} +(-3.61355 + 11.1214i) q^{75} +(1.96653 - 7.16572i) q^{76} +(-4.45466 - 8.11598i) q^{77} +(-3.30844 - 0.445736i) q^{78} +(3.59997 - 11.0796i) q^{79} +(1.45529 + 15.6648i) q^{80} +(0.543938 + 0.395194i) q^{81} +(-5.15752 + 0.939783i) q^{82} +(0.870974 - 0.282997i) q^{83} +(-3.89510 - 4.86991i) q^{84} +(-14.8201 + 10.7674i) q^{85} +(-1.76466 - 0.848252i) q^{86} +6.02266 q^{87} +(-9.16696 - 1.99168i) q^{88} +7.98458 q^{89} +(8.78458 + 4.22265i) q^{90} +(4.77254 - 3.46745i) q^{91} +(1.33483 - 1.06764i) q^{92} +(0.890099 - 0.289211i) q^{93} +(-1.89137 + 0.344637i) q^{94} +(11.8218 + 8.58907i) q^{95} +(-6.31327 - 0.260789i) q^{96} +(-3.44331 + 10.5974i) q^{97} +(1.11017 + 0.149569i) q^{98} +(-3.98133 + 4.23395i) 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(110)e\left(\frac{1}{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 0.612688 1.27460i 0.433236 0.901281i
33 −0.903665 + 0.656551i −0.521731 + 0.379060i −0.817256 0.576275i 0.804506π-0.804506\pi
0.295525 + 0.955335i 0.404506π0.404506\pi
44 −1.24923 1.56187i −0.624614 0.780934i
55 3.74056 1.21538i 1.67283 0.543535i 0.689329 0.724448i 0.257905π-0.257905\pi
0.983499 + 0.180914i 0.0579055π0.0579055\pi
66 0.283177 + 1.55407i 0.115607 + 0.634448i
77 −2.25832 1.64076i −0.853564 0.620150i 0.0725628 0.997364i 0.476882π-0.476882\pi
−0.926126 + 0.377214i 0.876882π0.876882\pi
88 −2.75615 + 0.635331i −0.974446 + 0.224624i
99 −0.541500 + 1.66657i −0.180500 + 0.555522i
1010 0.742666 5.51238i 0.234852 1.74317i
1111 3.00002 + 1.41418i 0.904539 + 0.426390i
1212 2.15433 + 0.591224i 0.621901 + 0.170672i
1313 −0.653051 + 2.00988i −0.181124 + 0.557441i −0.999860 0.0167282i 0.994675π-0.994675\pi
0.818736 + 0.574170i 0.194675π0.194675\pi
1414 −3.47497 + 1.87318i −0.928724 + 0.500629i
1515 −2.58225 + 3.55416i −0.666734 + 0.917681i
1616 −0.878863 + 3.90226i −0.219716 + 0.975564i
1717 −4.42965 + 1.43928i −1.07435 + 0.349077i −0.792180 0.610288i 0.791054π-0.791054\pi
−0.282169 + 0.959365i 0.591054π0.591054\pi
1818 1.79244 + 1.71128i 0.422482 + 0.403353i
1919 2.18382 + 3.00577i 0.501002 + 0.689570i 0.982370 0.186949i 0.0598599π-0.0598599\pi
−0.481368 + 0.876519i 0.659860π0.659860\pi
2020 −6.57107 4.32397i −1.46934 0.966869i
2121 3.11801 0.680405
2222 3.64059 2.95738i 0.776176 0.630516i
2323 0.854640i 0.178205i 0.996022 + 0.0891024i 0.0283998π0.0283998\pi
−0.996022 + 0.0891024i 0.971600π0.971600\pi
2424 2.07351 2.38368i 0.423253 0.486566i
2525 8.46953 6.15347i 1.69391 1.23069i
2626 2.16169 + 2.06381i 0.423942 + 0.404747i
2727 −1.64036 5.04850i −0.315687 0.971585i
2828 0.258495 + 5.57688i 0.0488510 + 1.05393i
2929 −4.36210 3.16925i −0.810022 0.588516i 0.103815 0.994597i 0.466895π-0.466895\pi
−0.913837 + 0.406081i 0.866895π0.866895\pi
3030 2.94803 + 5.46894i 0.538235 + 0.998487i
3131 −0.796872 0.258919i −0.143122 0.0465033i 0.236580 0.971612i 0.423974π-0.423974\pi
−0.379702 + 0.925109i 0.623974π0.623974\pi
3232 4.43536 + 3.51107i 0.784068 + 0.620675i
3333 −3.63949 + 0.691723i −0.633554 + 0.120413i
3434 −0.879482 + 6.52788i −0.150830 + 1.11952i
3535 −10.4415 3.39265i −1.76494 0.573463i
3636 3.27941 1.23617i 0.546569 0.206028i
3737 2.13456 2.93797i 0.350919 0.482999i −0.596671 0.802486i 0.703510π-0.703510\pi
0.947591 + 0.319487i 0.103510π0.103510\pi
3838 5.16916 0.941903i 0.838548 0.152797i
3939 −0.729452 2.24502i −0.116806 0.359491i
4040 −9.53736 + 5.72626i −1.50799 + 0.905402i
4141 −2.17890 2.99900i −0.340287 0.468365i 0.604238 0.796804i 0.293478π-0.293478\pi
−0.944525 + 0.328439i 0.893478π0.893478\pi
4242 1.91036 3.97422i 0.294776 0.613236i
4343 1.38448i 0.211131i −0.994412 0.105565i 0.966335π-0.966335\pi
0.994412 0.105565i 0.0336652π-0.0336652\pi
4444 −1.53895 6.45226i −0.232005 0.972715i
4545 6.89201i 1.02740i
4646 1.08933 + 0.523628i 0.160612 + 0.0772047i
4747 −0.799046 1.09979i −0.116553 0.160421i 0.746754 0.665100i 0.231611π-0.231611\pi
−0.863307 + 0.504679i 0.831611π0.831611\pi
4848 −1.76783 4.10335i −0.255165 0.592268i
4949 0.244772 + 0.753330i 0.0349674 + 0.107619i
5050 −2.65406 14.5655i −0.375341 2.05987i
5151 3.05796 4.20892i 0.428200 0.589367i
5252 3.95498 1.49082i 0.548457 0.206740i
5353 −4.01470 1.30446i −0.551462 0.179181i 0.0200141 0.999800i 0.493629π-0.493629\pi
−0.571476 + 0.820619i 0.693629π0.693629\pi
5454 −7.43987 1.00235i −1.01244 0.136403i
5555 12.9405 + 1.64365i 1.74490 + 0.221629i
5656 7.26668 + 3.08741i 0.971052 + 0.412572i
5757 −3.94688 1.28242i −0.522776 0.169860i
5858 −6.71215 + 3.61819i −0.881349 + 0.475091i
5959 6.80468 + 4.94389i 0.885894 + 0.643640i 0.934804 0.355164i 0.115575π-0.115575\pi
−0.0489102 + 0.998803i 0.515575π0.515575\pi
6060 8.77695 0.406822i 1.13310 0.0525205i
6161 0.970728 + 2.98759i 0.124289 + 0.382522i 0.993771 0.111443i 0.0355471π-0.0355471\pi
−0.869482 + 0.493965i 0.835547π0.835547\pi
6262 −0.818253 + 0.857059i −0.103918 + 0.108847i
6363 3.95732 2.87516i 0.498575 0.362236i
6464 7.19271 3.50213i 0.899089 0.437767i
6565 8.31179i 1.03095i
6666 −1.34820 + 5.06271i −0.165952 + 0.623177i
6767 3.45851 0.422524 0.211262 0.977429i 0.432243π-0.432243\pi
0.211262 + 0.977429i 0.432243π0.432243\pi
6868 7.78161 + 5.12054i 0.943659 + 0.620957i
6969 −0.561115 0.772308i −0.0675503 0.0929750i
7070 −10.7217 + 11.2302i −1.28149 + 1.34226i
7171 −11.7395 + 3.81439i −1.39322 + 0.452684i −0.906992 0.421148i 0.861627π-0.861627\pi
−0.486227 + 0.873832i 0.661627π0.661627\pi
7272 0.433633 4.93733i 0.0511041 0.581870i
7373 1.90829 2.62654i 0.223349 0.307413i −0.682607 0.730786i 0.739154π-0.739154\pi
0.905956 + 0.423373i 0.139154π0.139154\pi
7474 −2.43693 4.52077i −0.283287 0.525529i
7575 −3.61355 + 11.1214i −0.417257 + 1.28418i
7676 1.96653 7.16572i 0.225576 0.821964i
7777 −4.45466 8.11598i −0.507656 0.924901i
7878 −3.30844 0.445736i −0.374607 0.0504697i
7979 3.59997 11.0796i 0.405029 1.24655i −0.515843 0.856683i 0.672521π-0.672521\pi
0.920871 0.389867i 0.127479π-0.127479\pi
8080 1.45529 + 15.6648i 0.162706 + 1.75137i
8181 0.543938 + 0.395194i 0.0604376 + 0.0439105i
8282 −5.15752 + 0.939783i −0.569553 + 0.103782i
8383 0.870974 0.282997i 0.0956018 0.0310629i −0.260826 0.965386i 0.583995π-0.583995\pi
0.356427 + 0.934323i 0.383995π0.383995\pi
8484 −3.89510 4.86991i −0.424990 0.531351i
8585 −14.8201 + 10.7674i −1.60746 + 1.16789i
8686 −1.76466 0.848252i −0.190288 0.0914694i
8787 6.02266 0.645697
8888 −9.16696 1.99168i −0.977202 0.212313i
8989 7.98458 0.846363 0.423182 0.906045i 0.360913π-0.360913\pi
0.423182 + 0.906045i 0.360913π0.360913\pi
9090 8.78458 + 4.22265i 0.925976 + 0.445107i
9191 4.77254 3.46745i 0.500298 0.363488i
9292 1.33483 1.06764i 0.139166 0.111309i
9393 0.890099 0.289211i 0.0922990 0.0299898i
9494 −1.89137 + 0.344637i −0.195080 + 0.0355466i
9595 11.8218 + 8.58907i 1.21289 + 0.881220i
9696 −6.31327 0.260789i −0.644346 0.0266166i
9797 −3.44331 + 10.5974i −0.349615 + 1.07600i 0.609451 + 0.792824i 0.291390π0.291390\pi
−0.959066 + 0.283181i 0.908610π0.908610\pi
9898 1.11017 + 0.149569i 0.112144 + 0.0151088i
9999 −3.98133 + 4.23395i −0.400138 + 0.425528i
100100 −20.1913 5.54120i −2.01913 0.554120i
101101 −1.65660 + 5.09849i −0.164838 + 0.507319i −0.999024 0.0441635i 0.985938π-0.985938\pi
0.834186 + 0.551483i 0.185938π0.185938\pi
102102 −3.49113 6.47644i −0.345673 0.641263i
103103 −3.62026 + 4.98285i −0.356714 + 0.490975i −0.949230 0.314584i 0.898135π-0.898135\pi
0.592515 + 0.805559i 0.298135π0.298135\pi
104104 0.522963 5.95444i 0.0512807 0.583881i
105105 11.6631 3.78956i 1.13820 0.369824i
106106 −4.12242 + 4.31793i −0.400405 + 0.419394i
107107 −9.02248 12.4184i −0.872236 1.20053i −0.978511 0.206193i 0.933893π-0.933893\pi
0.106275 0.994337i 0.466107π-0.466107\pi
108108 −5.83592 + 8.86875i −0.561561 + 0.853396i
109109 2.86723 0.274631 0.137315 0.990527i 0.456153π-0.456153\pi
0.137315 + 0.990527i 0.456153π0.456153\pi
110110 10.0235 15.4870i 0.955702 1.47662i
111111 4.05639i 0.385015i
112112 8.38743 7.37052i 0.792538 0.696449i
113113 −8.25780 + 5.99964i −0.776828 + 0.564399i −0.904025 0.427479i 0.859402π-0.859402\pi
0.127197 + 0.991877i 0.459402π0.459402\pi
114114 −4.05278 + 4.24498i −0.379577 + 0.397579i
115115 1.03871 + 3.19683i 0.0968605 + 0.298106i
116116 0.499302 + 10.7721i 0.0463590 + 1.00017i
117117 −2.99598 2.17670i −0.276978 0.201236i
118118 10.4706 5.64421i 0.963901 0.519591i
119119 12.3651 + 4.01766i 1.13350 + 0.368298i
120120 4.85899 11.4364i 0.443563 1.04399i
121121 7.00021 + 8.48511i 0.636383 + 0.771374i
122122 4.40275 + 0.593170i 0.398606 + 0.0537030i
123123 3.93799 + 1.27953i 0.355077 + 0.115371i
124124 0.591076 + 1.56806i 0.0530802 + 0.140816i
125125 12.6430 17.4016i 1.13082 1.55645i
126126 −1.24009 6.80559i −0.110476 0.606290i
127127 −3.94256 12.1339i −0.349845 1.07671i −0.958938 0.283614i 0.908467π-0.908467\pi
0.609093 0.793099i 0.291533π-0.291533\pi
128128 −0.0569472 11.3136i −0.00503347 0.999987i
129129 0.908979 + 1.25110i 0.0800312 + 0.110153i
130130 10.5942 + 5.09253i 0.929176 + 0.446645i
131131 10.8120i 0.944646i 0.881426 + 0.472323i 0.156584π0.156584\pi
−0.881426 + 0.472323i 0.843416π0.843416\pi
132132 5.62693 + 4.82028i 0.489761 + 0.419552i
133133 10.3711i 0.899288i
134134 2.11899 4.40823i 0.183053 0.380813i
135135 −12.2717 16.8906i −1.05618 1.45371i
136136 11.2944 6.78117i 0.968483 0.581480i
137137 −6.64424 20.4489i −0.567656 1.74707i −0.659925 0.751332i 0.729412π-0.729412\pi
0.0922685 0.995734i 0.470588π-0.470588\pi
138138 −1.32817 + 0.242015i −0.113062 + 0.0206017i
139139 4.01113 5.52085i 0.340220 0.468273i −0.604286 0.796768i 0.706541π-0.706541\pi
0.944506 + 0.328495i 0.106541π0.106541\pi
140140 7.74495 + 20.5465i 0.654567 + 1.73649i
141141 1.44414 + 0.469230i 0.121619 + 0.0395163i
142142 −2.33080 + 17.3002i −0.195597 + 1.45180i
143143 −4.80149 + 5.10616i −0.401521 + 0.426998i
144144 −6.02746 3.57775i −0.502288 0.298146i
145145 −20.1686 6.55316i −1.67491 0.544210i
146146 −2.17861 4.04156i −0.180303 0.334482i
147147 −0.715792 0.520053i −0.0590375 0.0428932i
148148 −7.25527 + 0.336290i −0.596379 + 0.0276429i
149149 3.50314 + 10.7816i 0.286989 + 0.883260i 0.985796 + 0.167950i 0.0537147π0.0537147\pi
−0.698807 + 0.715310i 0.746285π0.746285\pi
150150 11.9613 + 11.4198i 0.976639 + 0.932420i
151151 −1.11632 + 0.811053i −0.0908447 + 0.0660026i −0.632280 0.774740i 0.717881π-0.717881\pi
0.541436 + 0.840742i 0.317881π0.317881\pi
152152 −7.92858 6.89689i −0.643093 0.559411i
153153 8.16168i 0.659832i
154154 −13.0740 + 0.705364i −1.05353 + 0.0568399i
155155 −3.29543 −0.264695
156156 −2.59518 + 3.94385i −0.207780 + 0.315761i
157157 11.3001 + 15.5532i 0.901843 + 1.24128i 0.969876 + 0.243598i 0.0783277π0.0783277\pi
−0.0680330 + 0.997683i 0.521672π0.521672\pi
158158 −11.9164 11.3769i −0.948019 0.905095i
159159 4.48439 1.45707i 0.355635 0.115553i
160160 20.8580 + 7.74270i 1.64897 + 0.612114i
161161 1.40226 1.93005i 0.110514 0.152109i
162162 0.836980 0.451175i 0.0657594 0.0354476i
163163 3.44315 10.5969i 0.269689 0.830016i −0.720887 0.693052i 0.756266π-0.756266\pi
0.990576 0.136964i 0.0437345π-0.0437345\pi
164164 −1.96210 + 7.14959i −0.153214 + 0.558289i
165165 −12.7730 + 7.01079i −0.994378 + 0.545789i
166166 0.172927 1.28353i 0.0134217 0.0996216i
167167 −6.27006 + 19.2973i −0.485192 + 1.49327i 0.346510 + 0.938046i 0.387367π0.387367\pi
−0.831702 + 0.555222i 0.812633π0.812633\pi
168168 −8.59369 + 1.98097i −0.663017 + 0.152835i
169169 6.90406 + 5.01610i 0.531082 + 0.385854i
170170 4.64411 + 25.4868i 0.356187 + 1.95475i
171171 −6.19184 + 2.01185i −0.473502 + 0.153850i
172172 −2.16237 + 1.72953i −0.164879 + 0.131875i
173173 12.6022 9.15603i 0.958127 0.696120i 0.00541199 0.999985i 0.498277π-0.498277\pi
0.952715 + 0.303865i 0.0982773π0.0982773\pi
174174 3.69001 7.67650i 0.279739 0.581954i
175175 −29.2233 −2.20907
176176 −8.15508 + 10.4640i −0.614713 + 0.788751i
177177 −9.39507 −0.706176
178178 4.89205 10.1772i 0.366675 0.762811i
179179 13.7239 9.97097i 1.02577 0.745265i 0.0583123 0.998298i 0.481428π-0.481428\pi
0.967458 + 0.253033i 0.0814281π0.0814281\pi
180180 10.7644 8.60969i 0.802332 0.641728i
181181 12.6430 4.10796i 0.939746 0.305342i 0.201204 0.979549i 0.435515π-0.435515\pi
0.738542 + 0.674207i 0.235515π0.235515\pi
182182 −1.49555 8.20756i −0.110857 0.608385i
183183 −2.83872 2.06245i −0.209844 0.152461i
184184 −0.542980 2.35551i −0.0400290 0.173651i
185185 4.41369 13.5839i 0.324501 0.998711i
186186 0.176724 1.31172i 0.0129580 0.0961799i
187187 −15.3244 1.94644i −1.12063 0.142338i
188188 −0.719541 + 2.62190i −0.0524779 + 0.191221i
189189 −4.57895 + 14.0926i −0.333070 + 1.02508i
190190 18.1908 9.80574i 1.31970 0.711383i
191191 −14.8778 + 20.4775i −1.07652 + 1.48170i −0.213224 + 0.977003i 0.568397π0.568397\pi
−0.863295 + 0.504699i 0.831603π0.831603\pi
192192 −4.20047 + 7.88714i −0.303143 + 0.569205i
193193 6.00552 1.95131i 0.432287 0.140458i −0.0847876 0.996399i 0.527021π-0.527021\pi
0.517074 + 0.855941i 0.327021π0.327021\pi
194194 11.3978 + 10.8818i 0.818317 + 0.781265i
195195 −5.45711 7.51107i −0.390792 0.537879i
196196 0.870827 1.32338i 0.0622019 0.0945273i
197197 10.8725 0.774631 0.387316 0.921947i 0.373402π-0.373402\pi
0.387316 + 0.921947i 0.373402π0.373402\pi
198198 2.95729 + 7.66870i 0.210166 + 0.544991i
199199 22.1838i 1.57257i −0.617866 0.786283i 0.712003π-0.712003\pi
0.617866 0.786283i 0.287997π-0.287997\pi
200200 −19.4338 + 22.3408i −1.37418 + 1.57974i
201201 −3.12533 + 2.27069i −0.220444 + 0.160162i
202202 5.48358 + 5.23530i 0.385823 + 0.368354i
203203 4.65102 + 14.3144i 0.326437 + 1.00467i
204204 −10.3939 + 0.481768i −0.727716 + 0.0337305i
205205 −11.7952 8.56973i −0.823814 0.598536i
206206 4.13308 + 7.66732i 0.287965 + 0.534208i
207207 −1.42431 0.462788i −0.0989966 0.0321660i
208208 −7.26914 4.31478i −0.504024 0.299176i
209209 2.30080 + 12.1056i 0.159150 + 0.837365i
210210 2.31564 17.1876i 0.159794 1.18606i
211211 4.29344 + 1.39502i 0.295572 + 0.0960373i 0.453050 0.891485i 0.350336π-0.350336\pi
−0.157477 + 0.987523i 0.550336π0.550336\pi
212212 2.97789 + 7.89999i 0.204522 + 0.542574i
213213 8.10421 11.1545i 0.555291 0.764293i
214214 −21.3565 + 3.89149i −1.45990 + 0.266017i
215215 −1.68267 5.17871i −0.114757 0.353185i
216216 7.72854 + 12.8723i 0.525861 + 0.875846i
217217 1.37476 + 1.89220i 0.0933251 + 0.128451i
218218 1.75672 3.65458i 0.118980 0.247519i
219219 3.62640i 0.245049i
220220 −13.5985 22.2646i −0.916808 1.50108i
221221 9.84301i 0.662112i
222222 5.17028 + 2.48530i 0.347007 + 0.166802i
223223 9.00750 + 12.3978i 0.603187 + 0.830216i 0.995995 0.0894046i 0.0284964π-0.0284964\pi
−0.392808 + 0.919620i 0.628496π0.628496\pi
224224 −4.25562 15.2065i −0.284340 1.01603i
225225 5.66892 + 17.4471i 0.377928 + 1.16314i
226226 2.58771 + 14.2013i 0.172132 + 0.944658i
227227 −11.9130 + 16.3968i −0.790692 + 1.08829i 0.203329 + 0.979110i 0.434824π0.434824\pi
−0.994022 + 0.109184i 0.965176π0.965176\pi
228228 2.92758 + 7.76653i 0.193884 + 0.514351i
229229 −3.54360 1.15138i −0.234168 0.0760856i 0.189583 0.981865i 0.439287π-0.439287\pi
−0.423750 + 0.905779i 0.639287π0.639287\pi
230230 4.71110 + 0.634712i 0.310640 + 0.0418517i
231231 9.35407 + 4.40941i 0.615453 + 0.290118i
232232 14.0361 + 5.96355i 0.921517 + 0.391527i
233233 23.3988 + 7.60272i 1.53290 + 0.498071i 0.949408 0.314045i 0.101684π-0.101684\pi
0.583496 + 0.812116i 0.301684π0.301684\pi
234234 −4.61003 + 2.48504i −0.301367 + 0.162452i
235235 −4.32555 3.14269i −0.282168 0.205007i
236236 −0.778888 16.8041i −0.0507013 1.09385i
237237 4.02114 + 12.3758i 0.261201 + 0.803894i
238238 12.6969 13.2990i 0.823015 0.862046i
239239 14.0082 10.1775i 0.906113 0.658330i −0.0339157 0.999425i 0.510798π-0.510798\pi
0.940029 + 0.341095i 0.110798π0.110798\pi
240240 −11.5998 13.2002i −0.748764 0.852071i
241241 12.0062i 0.773387i −0.922208 0.386694i 0.873617π-0.873617\pi
0.922208 0.386694i 0.126383π-0.126383\pi
242242 15.1041 3.72377i 0.970928 0.239373i
243243 15.1739 0.973408
244244 3.45357 5.24833i 0.221092 0.335990i
245245 1.83117 + 2.52038i 0.116989 + 0.161021i
246246 4.04365 4.23542i 0.257814 0.270041i
247247 −7.46738 + 2.42630i −0.475138 + 0.154382i
248248 2.36080 + 0.207343i 0.149911 + 0.0131663i
249249 −0.601267 + 0.827573i −0.0381037 + 0.0524453i
250250 −14.4339 26.7765i −0.912881 1.69350i
251251 0.828764 2.55067i 0.0523111 0.160997i −0.921488 0.388407i 0.873026π-0.873026\pi
0.973799 + 0.227410i 0.0730256π0.0730256\pi
252252 −9.43421 2.58908i −0.594299 0.163097i
253253 −1.20861 + 2.56393i −0.0759848 + 0.161193i
254254 −17.8815 2.40912i −1.12199 0.151162i
255255 6.32303 19.4603i 0.395964 1.21865i
256256 −14.4552 6.85910i −0.903450 0.428694i
257257 −10.9160 7.93091i −0.680919 0.494717i 0.192743 0.981249i 0.438261π-0.438261\pi
−0.873662 + 0.486533i 0.838261π0.838261\pi
258258 2.15158 0.392053i 0.133952 0.0244081i
259259 −9.64102 + 3.13256i −0.599064 + 0.194648i
260260 12.9819 10.3833i 0.805104 0.643946i
261261 7.64385 5.55358i 0.473142 0.343758i
262262 13.7810 + 6.62436i 0.851391 + 0.409254i
263263 −0.593593 −0.0366025 −0.0183013 0.999833i 0.505826π-0.505826\pi
−0.0183013 + 0.999833i 0.505826π0.505826\pi
264264 9.59150 4.21877i 0.590316 0.259647i
265265 −16.6026 −1.01989
266266 −13.2190 6.35424i −0.810511 0.389604i
267267 −7.21538 + 5.24228i −0.441574 + 0.320822i
268268 −4.32046 5.40174i −0.263914 0.329964i
269269 −18.5270 + 6.01978i −1.12961 + 0.367032i −0.813427 0.581666i 0.802401π-0.802401\pi
−0.316182 + 0.948699i 0.602401π0.602401\pi
270270 −29.0475 + 5.29292i −1.76777 + 0.322117i
271271 19.8565 + 14.4266i 1.20619 + 0.876351i 0.994880 0.101067i 0.0322258π-0.0322258\pi
0.211314 + 0.977418i 0.432226π0.432226\pi
272272 −1.72338 18.5506i −0.104496 1.12479i
273273 −2.03622 + 6.26683i −0.123237 + 0.379286i
274274 −30.1351 4.06001i −1.82053 0.245274i
275275 34.1108 6.48312i 2.05696 0.390947i
276276 −0.505284 + 1.84118i −0.0304145 + 0.110826i
277277 4.54208 13.9791i 0.272907 0.839921i −0.716859 0.697219i 0.754421π-0.754421\pi
0.989766 0.142703i 0.0455793π-0.0455793\pi
278278 −4.57932 8.49517i −0.274650 0.509506i
279279 0.863012 1.18783i 0.0516672 0.0711138i
280280 30.9338 + 2.71684i 1.84865 + 0.162362i
281281 −21.9124 + 7.11976i −1.30718 + 0.424729i −0.878075 0.478524i 0.841172π-0.841172\pi
−0.429108 + 0.903253i 0.641172π0.641172\pi
282282 1.48289 1.55321i 0.0883048 0.0924926i
283283 13.2652 + 18.2581i 0.788537 + 1.08533i 0.994289 + 0.106724i 0.0340362π0.0340362\pi
−0.205751 + 0.978604i 0.565964π0.565964\pi
284284 20.6228 + 13.5705i 1.22374 + 0.805259i
285285 −16.3221 −0.966840
286286 3.56651 + 9.24848i 0.210892 + 0.546874i
287287 10.3477i 0.610808i
288288 −8.25317 + 5.49057i −0.486323 + 0.323535i
289289 3.79700 2.75868i 0.223353 0.162275i
290290 −20.7097 + 21.6919i −1.21612 + 1.27379i
291291 −3.84615 11.8372i −0.225465 0.693910i
292292 −6.48619 + 0.300643i −0.379576 + 0.0175938i
293293 0.181791 + 0.132079i 0.0106203 + 0.00771613i 0.593083 0.805142i 0.297911π-0.297911\pi
−0.582462 + 0.812858i 0.697911π0.697911\pi
294294 −1.10142 + 0.593720i −0.0642360 + 0.0346265i
295295 31.4620 + 10.2226i 1.83179 + 0.595184i
296296 −4.01658 + 9.45363i −0.233459 + 0.549481i
297297 2.21837 17.4654i 0.128723 1.01344i
298298 15.8886 + 2.14062i 0.920399 + 0.124003i
299299 −1.71773 0.558123i −0.0993387 0.0322771i
300300 21.8842 8.24922i 1.26349 0.476269i
301301 −2.27160 + 3.12659i −0.130933 + 0.180213i
302302 0.349816 + 1.91979i 0.0201296 + 0.110471i
303303 −1.85041 5.69497i −0.106303 0.327168i
304304 −13.6485 + 5.88015i −0.782797 + 0.337250i
305305 7.26213 + 9.99546i 0.415828 + 0.572339i
306306 −10.4029 5.00056i −0.594694 0.285863i
307307 7.94263i 0.453310i 0.973975 + 0.226655i 0.0727790π0.0727790\pi
−0.973975 + 0.226655i 0.927221π0.927221\pi
308308 −7.11120 + 17.0963i −0.405198 + 0.974152i
309309 6.87971i 0.391373i
310310 −2.01907 + 4.20037i −0.114676 + 0.238565i
311311 −18.5030 25.4672i −1.04921 1.44411i −0.889491 0.456952i 0.848941π-0.848941\pi
−0.159720 0.987162i 0.551059π-0.551059\pi
312312 3.43681 + 5.72417i 0.194571 + 0.324067i
313313 5.75907 + 17.7246i 0.325522 + 1.00185i 0.971204 + 0.238248i 0.0765730π0.0765730\pi
−0.645682 + 0.763606i 0.723427π0.723427\pi
314314 26.7476 4.87384i 1.50945 0.275047i
315315 11.3082 15.5643i 0.637143 0.876952i
316316 −21.8020 + 8.21823i −1.22646 + 0.462311i
317317 −21.9489 7.13164i −1.23277 0.400553i −0.381056 0.924552i 0.624439π-0.624439\pi
−0.851719 + 0.523999i 0.824439π0.824439\pi
318318 0.890349 6.60854i 0.0499283 0.370588i
319319 −8.60450 15.6766i −0.481760 0.877721i
320320 22.6483 21.8418i 1.26608 1.22099i
321321 16.3066 + 5.29833i 0.910145 + 0.295724i
322322 −1.60090 2.96984i −0.0892145 0.165503i
323323 −13.9997 10.1714i −0.778963 0.565950i
324324 −0.0622611 1.34325i −0.00345895 0.0746248i
325325 6.83673 + 21.0413i 0.379234 + 1.16716i
326326 −11.3973 10.8813i −0.631239 0.602658i
327327 −2.59101 + 1.88248i −0.143283 + 0.104101i
328328 7.91073 + 6.88136i 0.436797 + 0.379960i
329329 3.79473i 0.209210i
330330 1.11011 + 20.5759i 0.0611095 + 1.13267i
331331 −19.9470 −1.09639 −0.548194 0.836351i 0.684684π-0.684684\pi
−0.548194 + 0.836351i 0.684684π0.684684\pi
332332 −1.53005 1.00682i −0.0839723 0.0552564i
333333 3.74045 + 5.14829i 0.204976 + 0.282125i
334334 20.7548 + 19.8151i 1.13565 + 1.08423i
335335 12.9368 4.20341i 0.706810 0.229657i
336336 −2.74030 + 12.1673i −0.149496 + 0.663778i
337337 2.52155 3.47062i 0.137358 0.189056i −0.734797 0.678287i 0.762722π-0.762722\pi
0.872154 + 0.489231i 0.162722π0.162722\pi
338338 10.6236 5.72664i 0.577846 0.311488i
339339 3.52321 10.8433i 0.191355 0.588929i
340340 35.3310 + 9.69607i 1.91609 + 0.525843i
341341 −2.02447 1.90368i −0.109631 0.103090i
342342 −1.22935 + 9.12478i −0.0664759 + 0.493411i
343343 −5.35494 + 16.4808i −0.289139 + 0.889880i
344344 0.879601 + 3.81582i 0.0474249 + 0.205735i
345345 −3.03753 2.20689i −0.163535 0.118815i
346346 −3.94909 21.6726i −0.212305 1.16513i
347347 13.9379 4.52870i 0.748226 0.243113i 0.0900080 0.995941i 0.471311π-0.471311\pi
0.658217 + 0.752828i 0.271311π0.271311\pi
348348 −7.52367 9.40660i −0.403311 0.504246i
349349 −27.4557 + 19.9477i −1.46967 + 1.06778i −0.488961 + 0.872306i 0.662624π0.662624\pi
−0.980709 + 0.195472i 0.937376π0.937376\pi
350350 −17.9047 + 37.2481i −0.957049 + 1.99099i
351351 11.2181 0.598780
352352 8.34088 + 16.8056i 0.444571 + 0.895744i
353353 13.8039 0.734707 0.367353 0.930081i 0.380264π-0.380264\pi
0.367353 + 0.930081i 0.380264π0.380264\pi
354354 −5.75624 + 11.9750i −0.305941 + 0.636463i
355355 −39.2762 + 28.5359i −2.08457 + 1.51453i
356356 −9.97455 12.4709i −0.528650 0.660954i
357357 −13.8117 + 4.48769i −0.730992 + 0.237514i
358358 −4.30059 23.6016i −0.227293 1.24738i
359359 13.6648 + 9.92802i 0.721198 + 0.523981i 0.886767 0.462217i 0.152946π-0.152946\pi
−0.165569 + 0.986198i 0.552946π0.552946\pi
360360 −4.37871 18.9954i −0.230778 1.00115i
361361 1.60575 4.94200i 0.0845133 0.260105i
362362 2.51019 18.6317i 0.131933 0.979260i
363363 −11.8967 3.07170i −0.624417 0.161222i
364364 −11.3777 3.12244i −0.596353 0.163660i
365365 3.94583 12.1440i 0.206534 0.635646i
366366 −4.36806 + 2.35460i −0.228322 + 0.123077i
367367 −0.132390 + 0.182219i −0.00691070 + 0.00951176i −0.812458 0.583019i 0.801871π-0.801871\pi
0.805548 + 0.592531i 0.201871π0.201871\pi
368368 −3.33502 0.751112i −0.173850 0.0391544i
369369 6.17790 2.00732i 0.321609 0.104497i
370370 −14.6099 13.9484i −0.759534 0.725144i
371371 6.92616 + 9.53305i 0.359589 + 0.494931i
372372 −1.56364 1.02893i −0.0810712 0.0533474i
373373 11.3347 0.586890 0.293445 0.955976i 0.405198π-0.405198\pi
0.293445 + 0.955976i 0.405198π0.405198\pi
374374 −11.8700 + 18.3400i −0.613785 + 0.948339i
375375 24.0260i 1.24070i
376376 2.90102 + 2.52353i 0.149609 + 0.130141i
377377 9.21851 6.69764i 0.474777 0.344946i
378378 15.1570 + 14.4707i 0.779590 + 0.744292i
379379 −1.61104 4.95826i −0.0827534 0.254689i 0.901116 0.433579i 0.142749π-0.142749\pi
−0.983869 + 0.178890i 0.942749π0.942749\pi
380380 −1.35317 29.1938i −0.0694161 1.49761i
381381 11.5293 + 8.37652i 0.590664 + 0.429142i
382382 16.9853 + 31.5096i 0.869043 + 1.61217i
383383 −31.4132 10.2068i −1.60514 0.521541i −0.636768 0.771056i 0.719729π-0.719729\pi
−0.968371 + 0.249514i 0.919729π0.919729\pi
384384 7.47939 + 10.1863i 0.381681 + 0.519817i
385385 −26.5269 24.9442i −1.35194 1.27127i
386386 1.19236 8.85020i 0.0606895 0.450463i
387387 2.30732 + 0.749694i 0.117288 + 0.0381091i
388388 20.8532 7.86059i 1.05866 0.399061i
389389 −4.37628 + 6.02343i −0.221886 + 0.305400i −0.905418 0.424520i 0.860443π-0.860443\pi
0.683532 + 0.729920i 0.260443π0.260443\pi
390390 −12.9171 + 2.35371i −0.654085 + 0.119185i
391391 −1.23007 3.78576i −0.0622072 0.191454i
392392 −1.15324 1.92078i −0.0582475 0.0970140i
393393 −7.09860 9.77039i −0.358077 0.492851i
394394 6.66143 13.8581i 0.335598 0.698160i
395395 45.8191i 2.30541i
396396 11.5865 + 0.929144i 0.582241 + 0.0466913i
397397 12.5755i 0.631147i 0.948901 + 0.315573i 0.102197π0.102197\pi
−0.948901 + 0.315573i 0.897803π0.897803\pi
398398 −28.2755 13.5917i −1.41732 0.681292i
399399 6.80915 + 9.37199i 0.340884 + 0.469187i
400400 16.5689 + 38.4583i 0.828444 + 1.92292i
401401 −4.30402 13.2464i −0.214933 0.661494i −0.999158 0.0410189i 0.986940π-0.986940\pi
0.784226 0.620476i 0.213060π-0.213060\pi
402402 0.979372 + 5.37478i 0.0488466 + 0.268070i
403403 1.04080 1.43253i 0.0518457 0.0713595i
404404 10.0326 3.78178i 0.499143 0.188151i
405405 2.51494 + 0.817155i 0.124969 + 0.0406047i
406406 21.0948 + 2.84203i 1.04692 + 0.141048i
407407 10.5585 5.79531i 0.523366 0.287263i
408408 −5.75413 + 13.5432i −0.284872 + 0.670490i
409409 −1.47362 0.478807i −0.0728657 0.0236755i 0.272357 0.962196i 0.412197π-0.412197\pi
−0.345223 + 0.938521i 0.612197π0.612197\pi
410410 −18.1498 + 9.78366i −0.896355 + 0.483181i
411411 19.4299 + 14.1167i 0.958406 + 0.696323i
412412 12.3051 0.570355i 0.606228 0.0280994i
413413 −7.25537 22.3297i −0.357014 1.09877i
414414 −1.46253 + 1.53189i −0.0718794 + 0.0752883i
415415 2.91398 2.11713i 0.143042 0.103926i
416416 −9.95335 + 6.62165i −0.488003 + 0.324653i
417417 7.62252i 0.373276i
418418 16.8396 + 4.48437i 0.823651 + 0.219338i
419419 −18.4122 −0.899496 −0.449748 0.893155i 0.648486π-0.648486\pi
−0.449748 + 0.893155i 0.648486π0.648486\pi
420420 −20.4886 13.4822i −0.999743 0.657862i
421421 −16.4415 22.6298i −0.801311 1.10291i −0.992606 0.121378i 0.961269π-0.961269\pi
0.191295 0.981533i 0.438731π-0.438731\pi
422422 4.40864 4.61772i 0.214609 0.224787i
423423 2.26556 0.736125i 0.110155 0.0357916i
424424 11.8939 + 1.04461i 0.577618 + 0.0507306i
425425 −28.6605 + 39.4478i −1.39024 + 1.91350i
426426 −9.25220 17.1639i −0.448270 0.831592i
427427 2.70972 8.33967i 0.131133 0.403585i
428428 −8.12474 + 29.6053i −0.392724 + 1.43103i
429429 0.986489 7.76668i 0.0476282 0.374979i
430430 −7.63175 1.02820i −0.368036 0.0495844i
431431 9.07766 27.9382i 0.437256 1.34573i −0.453502 0.891255i 0.649825π-0.649825\pi
0.890758 0.454479i 0.150175π-0.150175\pi
432432 21.1422 1.96415i 1.01720 0.0945003i
433433 −14.9096 10.8325i −0.716509 0.520575i 0.168758 0.985658i 0.446024π-0.446024\pi
−0.885267 + 0.465083i 0.846024π0.846024\pi
434434 3.25411 0.592951i 0.156202 0.0284625i
435435 22.5281 7.31982i 1.08014 0.350959i
436436 −3.58182 4.47823i −0.171538 0.214468i
437437 −2.56885 + 1.86638i −0.122885 + 0.0892809i
438438 4.62222 + 2.22185i 0.220858 + 0.106164i
439439 −2.97316 −0.141901 −0.0709506 0.997480i 0.522603π-0.522603\pi
−0.0709506 + 0.997480i 0.522603π0.522603\pi
440440 −36.7102 + 3.69137i −1.75009 + 0.175979i
441441 −1.38802 −0.0660961
442442 −12.5459 6.03069i −0.596749 0.286851i
443443 −0.965497 + 0.701475i −0.0458722 + 0.0333281i −0.610485 0.792028i 0.709025π-0.709025\pi
0.564613 + 0.825356i 0.309025π0.309025\pi
444444 6.33554 5.06735i 0.300671 0.240486i
445445 29.8668 9.70430i 1.41582 0.460028i
446446 21.3210 3.88503i 1.00958 0.183962i
447447 −10.2443 7.44293i −0.484540 0.352039i
448448 −21.9896 3.89260i −1.03891 0.183908i
449449 5.69852 17.5383i 0.268930 0.827681i −0.721832 0.692068i 0.756700π-0.756700\pi
0.990762 0.135613i 0.0433003π-0.0433003\pi
450450 25.7115 + 3.46403i 1.21205 + 0.163296i
451451 −2.29562 12.0784i −0.108097 0.568750i
452452 19.6865 + 5.40268i 0.925976 + 0.254120i
453453 0.476280 1.46584i 0.0223776 0.0688712i
454454 13.6005 + 25.2305i 0.638303 + 1.18412i
455455 13.6377 18.7707i 0.639344 0.879982i
456456 11.6929 + 1.02696i 0.547572 + 0.0480918i
457457 0.304061 0.0987953i 0.0142234 0.00462145i −0.301897 0.953341i 0.597620π-0.597620\pi
0.316120 + 0.948719i 0.397620π0.397620\pi
458458 −3.63868 + 3.81124i −0.170024 + 0.178088i
459459 14.5324 + 20.0022i 0.678316 + 0.933622i
460460 3.69544 5.61590i 0.172301 0.261843i
461461 14.6804 0.683735 0.341868 0.939748i 0.388941π-0.388941\pi
0.341868 + 0.939748i 0.388941π0.388941\pi
462462 11.3514 9.22114i 0.528114 0.429006i
463463 16.1267i 0.749471i 0.927132 + 0.374735i 0.122266π0.122266\pi
−0.927132 + 0.374735i 0.877734π0.877734\pi
464464 16.2009 14.2367i 0.752110 0.660922i
465465 2.97797 2.16362i 0.138100 0.100335i
466466 24.0266 25.1661i 1.11301 1.16579i
467467 −1.71292 5.27183i −0.0792645 0.243951i 0.903570 0.428441i 0.140937π-0.140937\pi
−0.982834 + 0.184489i 0.940937π0.940937\pi
468468 0.342930 + 7.39852i 0.0158519 + 0.341997i
469469 −7.81041 5.67460i −0.360651 0.262028i
470470 −6.65590 + 3.58787i −0.307014 + 0.165496i
471471 −20.4229 6.63582i −0.941040 0.305762i
472472 −21.8957 9.30287i −1.00783 0.428199i
473473 1.95789 4.15345i 0.0900241 0.190976i
474474 18.2379 + 2.45714i 0.837696 + 0.112860i
475475 36.9918 + 12.0194i 1.69730 + 0.551486i
476476 −9.17174 24.3316i −0.420386 1.11524i
477477 4.34792 5.98440i 0.199078 0.274007i
478478 −4.38968 24.0905i −0.200779 1.10187i
479479 1.04517 + 3.21671i 0.0477551 + 0.146975i 0.972091 0.234606i 0.0753799π-0.0753799\pi
−0.924336 + 0.381581i 0.875380π0.875380\pi
480480 −23.9321 + 6.69753i −1.09235 + 0.305699i
481481 4.51100 + 6.20886i 0.205684 + 0.283100i
482482 −15.3031 7.35605i −0.697039 0.335059i
483483 2.66477i 0.121251i
484484 4.50777 21.5332i 0.204899 0.978783i
485485 43.8252i 1.99000i
486486 9.29688 19.3407i 0.421715 0.877314i
487487 17.9182 + 24.6623i 0.811952 + 1.11756i 0.991019 + 0.133719i 0.0426919π0.0426919\pi
−0.179068 + 0.983837i 0.557308π0.557308\pi
488488 −4.57358 7.61752i −0.207036 0.344829i
489489 3.84597 + 11.8367i 0.173921 + 0.535273i
490490 4.33442 0.789802i 0.195809 0.0356796i
491491 −19.3196 + 26.5912i −0.871882 + 1.20004i 0.106721 + 0.994289i 0.465965π0.465965\pi
−0.978604 + 0.205754i 0.934035π0.934035\pi
492492 −2.92099 7.74905i −0.131688 0.349354i
493493 23.8841 + 7.76040i 1.07568 + 0.349511i
494494 −1.48260 + 11.0045i −0.0667055 + 0.495116i
495495 −9.74652 + 20.6762i −0.438074 + 0.929324i
496496 1.71071 2.88204i 0.0768132 0.129408i
497497 32.7700 + 10.6476i 1.46993 + 0.477610i
498498 0.686438 + 1.27342i 0.0307600 + 0.0570633i
499499 −8.74683 6.35494i −0.391562 0.284486i 0.374533 0.927213i 0.377803π-0.377803\pi
−0.766095 + 0.642727i 0.777803π0.777803\pi
500500 −42.9730 + 1.99185i −1.92181 + 0.0890781i
501501 −7.00361 21.5549i −0.312898 0.963001i
502502 −2.74332 2.61911i −0.122441 0.116897i
503503 −20.9779 + 15.2413i −0.935357 + 0.679577i −0.947299 0.320352i 0.896199π-0.896199\pi
0.0119412 + 0.999929i 0.496199π0.496199\pi
504504 −9.08028 + 10.4386i −0.404468 + 0.464971i
505505 21.0846i 0.938253i
506506 2.52750 + 3.11139i 0.112361 + 0.138318i
507507 −9.53228 −0.423344
508508 −14.0265 + 21.3158i −0.622324 + 0.945735i
509509 15.4298 + 21.2373i 0.683914 + 0.941327i 0.999973 0.00741265i 0.00235954π-0.00235954\pi
−0.316058 + 0.948740i 0.602360π0.602360\pi
510510 −20.9301 19.9824i −0.926801 0.884837i
511511 −8.61905 + 2.80050i −0.381284 + 0.123887i
512512 −17.5992 + 14.2222i −0.777780 + 0.628536i
513513 11.5924 15.9555i 0.511816 0.704454i
514514 −16.7968 + 9.05435i −0.740877 + 0.399370i
515515 −7.48571 + 23.0386i −0.329860 + 1.01520i
516516 0.818536 2.98262i 0.0360340 0.131302i
517517 −0.841852 4.42939i −0.0370246 0.194804i
518518 −1.91417 + 14.2078i −0.0841037 + 0.624253i
519519 −5.37676 + 16.5480i −0.236014 + 0.726375i
520520 −5.28074 22.9085i −0.231576 1.00461i
521521 9.15472 + 6.65129i 0.401076 + 0.291399i 0.769979 0.638069i 0.220267π-0.220267\pi
−0.368903 + 0.929468i 0.620267π0.620267\pi
522522 −2.39532 13.1455i −0.104840 0.575362i
523523 −21.7647 + 7.07178i −0.951704 + 0.309227i −0.743408 0.668838i 0.766792π-0.766792\pi
−0.208296 + 0.978066i 0.566792π0.566792\pi
524524 16.8869 13.5066i 0.737706 0.590038i
525525 26.4080 19.1866i 1.15254 0.837371i
526526 −0.363687 + 0.756596i −0.0158575 + 0.0329891i
527527 3.90252 0.169997
528528 0.499336 14.8101i 0.0217308 0.644529i
529529 22.2696 0.968243
530530 −10.1722 + 21.1618i −0.441853 + 0.919208i
531531 −11.9241 + 8.66333i −0.517460 + 0.375957i
532532 −16.1983 + 12.9559i −0.702285 + 0.561707i
533533 7.45057 2.42084i 0.322720 0.104858i
534534 2.26105 + 12.4086i 0.0978453 + 0.536974i
535535 −48.8421 35.4859i −2.11163 1.53419i
536536 −9.53217 + 2.19730i −0.411727 + 0.0949089i
537537 −5.85532 + 18.0208i −0.252676 + 0.777656i
538538 −3.67842 + 27.3028i −0.158588 + 1.17711i
539539 −0.331022 + 2.60616i −0.0142581 + 0.112255i
540540 −11.0507 + 40.2669i −0.475545 + 1.73281i
541541 5.01194 15.4252i 0.215480 0.663180i −0.783639 0.621217i 0.786639π-0.786639\pi
0.999119 0.0419633i 0.0133613π-0.0133613\pi
542542 30.5539 16.4701i 1.31240 0.707452i
543543 −8.72795 + 12.0130i −0.374552 + 0.515527i
544544 −24.7005 9.16908i −1.05903 0.393121i
545545 10.7250 3.48477i 0.459410 0.149271i
546546 6.74016 + 6.43498i 0.288452 + 0.275392i
547547 −6.35466 8.74643i −0.271705 0.373970i 0.651259 0.758855i 0.274241π-0.274241\pi
−0.922965 + 0.384885i 0.874241π0.874241\pi
548548 −23.6383 + 35.9227i −1.00978 + 1.53454i
549549 −5.50467 −0.234934
550550 12.6359 47.4499i 0.538796 2.02327i
551551 20.0325i 0.853415i
552552 2.03719 + 1.77210i 0.0867084 + 0.0754257i
553553 −26.3088 + 19.1145i −1.11877 + 0.812831i
554554 −15.0349 14.3542i −0.638772 0.609850i
555555 4.93005 + 15.1731i 0.209269 + 0.644064i
556556 −13.6337 + 0.631936i −0.578196 + 0.0268001i
557557 −3.64856 2.65084i −0.154595 0.112320i 0.507799 0.861476i 0.330459π-0.330459\pi
−0.662394 + 0.749156i 0.730459π0.730459\pi
558558 −0.985261 1.82777i −0.0417094 0.0773757i
559559 2.78264 + 0.904133i 0.117693 + 0.0382408i
560560 22.4157 37.7638i 0.947235 1.59581i
561561 15.1261 8.30234i 0.638624 0.350525i
562562 −4.35057 + 32.2918i −0.183518 + 1.36215i
563563 −0.590824 0.191970i −0.0249003 0.00809058i 0.296540 0.955020i 0.404167π-0.404167\pi
−0.321441 + 0.946930i 0.604167π0.604167\pi
564564 −1.07118 2.84173i −0.0451050 0.119658i
565565 −23.5969 + 32.4784i −0.992730 + 1.36638i
566566 31.3992 5.72144i 1.31981 0.240490i
567567 −0.579965 1.78495i −0.0243562 0.0749607i
568568 29.9323 17.9715i 1.25593 0.754066i
569569 −11.6083 15.9774i −0.486644 0.669807i 0.493121 0.869961i 0.335856π-0.335856\pi
−0.979765 + 0.200153i 0.935856π0.935856\pi
570570 −10.0004 + 20.8043i −0.418870 + 0.871394i
571571 28.2428i 1.18193i −0.806699 0.590963i 0.798748π-0.798748\pi
0.806699 0.590963i 0.201252π-0.201252\pi
572572 13.9733 + 1.12055i 0.584253 + 0.0468526i
573573 28.2729i 1.18112i
574574 13.1893 + 6.33994i 0.550510 + 0.264624i
575575 5.25901 + 7.23840i 0.219316 + 0.301862i
576576 1.94169 + 13.8835i 0.0809036 + 0.578480i
577577 4.23700 + 13.0402i 0.176389 + 0.542869i 0.999694 0.0247297i 0.00787253π-0.00787253\pi
−0.823305 + 0.567599i 0.807873π0.807873\pi
578578 −1.18985 6.52987i −0.0494912 0.271607i
579579 −4.14584 + 5.70626i −0.172295 + 0.237144i
580580 14.9599 + 39.6870i 0.621177 + 1.64791i
581581 −2.43126 0.789966i −0.100866 0.0327733i
582582 −17.4443 2.35021i −0.723088 0.0974194i
583583 −10.1994 9.59089i −0.422418 0.397214i
584584 −3.59081 + 8.45152i −0.148589 + 0.349726i
585585 −13.8521 4.50083i −0.572716 0.186087i
586586 0.279729 0.150788i 0.0115555 0.00622900i
587587 27.8108 + 20.2057i 1.14788 + 0.833981i 0.988197 0.153188i 0.0489542π-0.0489542\pi
0.159679 + 0.987169i 0.448954π0.448954\pi
588588 0.0819320 + 1.76764i 0.00337882 + 0.0728961i
589589 −0.961971 2.96064i −0.0396373 0.121991i
590590 32.3062 33.8383i 1.33002 1.39310i
591591 −9.82507 + 7.13833i −0.404149 + 0.293632i
592592 9.58872 + 10.9117i 0.394094 + 0.448467i
593593 18.6125i 0.764323i −0.924096 0.382161i 0.875180π-0.875180\pi
0.924096 0.382161i 0.124820π-0.124820\pi
594594 −20.9022 13.5284i −0.857629 0.555075i
595595 51.1353 2.09634
596596 12.4632 18.9401i 0.510511 0.775816i
597597 14.5648 + 20.0467i 0.596097 + 0.820457i
598598 −1.76382 + 1.84746i −0.0721278 + 0.0755485i
599599 14.6710 4.76689i 0.599440 0.194770i 0.00644913 0.999979i 0.497947π-0.497947\pi
0.592990 + 0.805209i 0.297947π0.297947\pi
600600 2.89373 32.9479i 0.118136 1.34509i
601601 −6.78408 + 9.33748i −0.276728 + 0.380884i −0.924647 0.380826i 0.875640π-0.875640\pi
0.647919 + 0.761710i 0.275640π0.275640\pi
602602 2.59338 + 4.81101i 0.105698 + 0.196082i
603603 −1.87278 + 5.76383i −0.0762656 + 0.234721i
604604 2.66129 + 0.730353i 0.108286 + 0.0297176i
605605 36.4973 + 23.2311i 1.48383 + 0.944479i
606606 −8.39255 1.13070i −0.340924 0.0459317i
607607 0.811344 2.49706i 0.0329314 0.101353i −0.933240 0.359254i 0.883031π-0.883031\pi
0.966171 + 0.257902i 0.0830311π0.0830311\pi
608608 −0.867434 + 20.9992i −0.0351791 + 0.851629i
609609 −13.6011 9.88175i −0.551143 0.400429i
610610 17.1897 3.13223i 0.695989 0.126820i
611611 2.73227 0.887770i 0.110536 0.0359153i
612612 −12.7475 + 10.1958i −0.515286 + 0.412140i
613613 23.6605 17.1903i 0.955638 0.694311i 0.00350423 0.999994i 0.498885π-0.498885\pi
0.952134 + 0.305682i 0.0988846π0.0988846\pi
614614 10.1237 + 4.86635i 0.408559 + 0.196390i
615615 16.2854 0.656691
616616 17.4340 + 19.5387i 0.702437 + 0.787235i
617617 −18.7736 −0.755798 −0.377899 0.925847i 0.623353π-0.623353\pi
−0.377899 + 0.925847i 0.623353π0.623353\pi
618618 −8.76890 4.21512i −0.352737 0.169557i
619619 35.7686 25.9874i 1.43766 1.04452i 0.449139 0.893462i 0.351731π-0.351731\pi
0.988524 0.151061i 0.0482690π-0.0482690\pi
620620 4.11674 + 5.14703i 0.165332 + 0.206710i
621621 4.31465 1.40192i 0.173141 0.0562569i
622622 −43.7972 + 7.98056i −1.75611 + 0.319991i
623623 −18.0317 13.1008i −0.722425 0.524872i
624624 9.40174 0.873440i 0.376371 0.0349656i
625625 9.96692 30.6750i 0.398677 1.22700i
626626 26.1204 + 3.51912i 1.04398 + 0.140652i
627627 −10.0271 9.42885i −0.400445 0.376552i
628628 10.1757 37.0787i 0.406055 1.47960i
629629 −5.22679 + 16.0864i −0.208406 + 0.641407i
630630 −12.9100 23.9495i −0.514347 0.954171i
631631 −3.44264 + 4.73839i −0.137049 + 0.188632i −0.872025 0.489461i 0.837194π-0.837194\pi
0.734976 + 0.678093i 0.237194π0.237194\pi
632632 −2.88286 + 32.8241i −0.114674 + 1.30567i
633633 −4.79573 + 1.55823i −0.190613 + 0.0619340i
634634 −22.5379 + 23.6067i −0.895093 + 0.937542i
635635 −29.4947 40.5960i −1.17046 1.61100i
636636 −7.87776 5.18381i −0.312373 0.205552i
637637 −1.67395 −0.0663245
638638 −25.2533 + 1.36246i −0.999789 + 0.0539404i
639639 21.6301i 0.855673i
640640 −13.9633 42.2498i −0.551948 1.67007i
641641 −15.9169 + 11.5643i −0.628680 + 0.456763i −0.855943 0.517071i 0.827022π-0.827022\pi
0.227263 + 0.973833i 0.427022π0.427022\pi
642642 16.7441 17.5382i 0.660838 0.692178i
643643 3.22855 + 9.93645i 0.127322 + 0.391855i 0.994317 0.106461i 0.0339519π-0.0339519\pi
−0.866995 + 0.498316i 0.833952π0.833952\pi
644644 −4.76622 + 0.220920i −0.187816 + 0.00870547i
645645 4.92065 + 3.57506i 0.193751 + 0.140768i
646646 −21.5419 + 11.6122i −0.847555 + 0.456875i
647647 −6.43578 2.09111i −0.253017 0.0822101i 0.179763 0.983710i 0.442467π-0.442467\pi
−0.432779 + 0.901500i 0.642467π0.642467\pi
648648 −1.75025 0.743633i −0.0687565 0.0292127i
649649 13.4226 + 24.4548i 0.526884 + 0.959934i
650650 31.0081 + 4.17763i 1.21624 + 0.163860i
651651 −2.48465 0.807312i −0.0973812 0.0316411i
652652 −20.8523 + 7.86023i −0.816639 + 0.307830i
653653 −20.1960 + 27.7974i −0.790332 + 1.08780i 0.203735 + 0.979026i 0.434692π0.434692\pi
−0.994067 + 0.108772i 0.965308π0.965308\pi
654654 0.811935 + 4.45589i 0.0317492 + 0.174239i
655655 13.1406 + 40.4428i 0.513448 + 1.58023i
656656 13.6178 5.86692i 0.531686 0.229065i
657657 3.34396 + 4.60256i 0.130460 + 0.179563i
658658 4.83677 + 2.32498i 0.188557 + 0.0906373i
659659 34.5518i 1.34595i 0.739667 + 0.672973i 0.234983π0.234983\pi
−0.739667 + 0.672973i 0.765017π0.765017\pi
660660 26.9063 + 11.1917i 1.04733 + 0.435636i
661661 17.3103i 0.673292i −0.941631 0.336646i 0.890707π-0.890707\pi
0.941631 0.336646i 0.109293π-0.109293\pi
662662 −12.2213 + 25.4245i −0.474994 + 0.988152i
663663 6.46244 + 8.89478i 0.250980 + 0.345445i
664664 −2.22074 + 1.33334i −0.0861813 + 0.0517435i
665665 −12.6048 38.7937i −0.488794 1.50435i
666666 8.85376 1.61330i 0.343076 0.0625140i
667667 2.70857 3.72803i 0.104876 0.144350i
668668 37.9725 14.3137i 1.46920 0.553812i
669669 −16.2795 5.28954i −0.629403 0.204505i
670670 2.56852 19.0646i 0.0992305 0.736530i
671671 −1.31278 + 10.3356i −0.0506795 + 0.399002i
672672 13.8295 + 10.9475i 0.533484 + 0.422310i
673673 −25.9975 8.44710i −1.00213 0.325612i −0.238413 0.971164i 0.576627π-0.576627\pi
−0.763716 + 0.645552i 0.776627π0.776627\pi
674674 −2.87873 5.34038i −0.110885 0.205704i
675675 −44.9589 32.6646i −1.73047 1.25726i
676676 −0.790264 17.0495i −0.0303948 0.655749i
677677 −8.46763 26.0607i −0.325438 1.00159i −0.971243 0.238091i 0.923478π-0.923478\pi
0.645805 0.763502i 0.276522π-0.276522\pi
678678 −11.6623 11.1343i −0.447888 0.427609i
679679 25.1639 18.2827i 0.965703 0.701625i
680680 34.0055 39.0923i 1.30405 1.49912i
681681 22.6387i 0.867517i
682682 −3.66681 + 1.41404i −0.140409 + 0.0541463i
683683 −19.0093 −0.727370 −0.363685 0.931522i 0.618482π-0.618482\pi
−0.363685 + 0.931522i 0.618482π0.618482\pi
684684 10.8773 + 7.15758i 0.415903 + 0.273677i
685685 −49.7064 68.4149i −1.89918 2.61400i
686686 17.7256 + 16.9230i 0.676766 + 0.646123i
687687 3.95817 1.28609i 0.151013 0.0490673i
688688 5.40258 + 1.21677i 0.205971 + 0.0463888i
689689 5.24361 7.21721i 0.199766 0.274954i
690690 −4.67397 + 2.51951i −0.177935 + 0.0959160i
691691 10.0374 30.8919i 0.381840 1.17518i −0.556907 0.830575i 0.688012π-0.688012\pi
0.938747 0.344607i 0.111988π-0.111988\pi
692692 −30.0435 8.24500i −1.14208 0.313428i
693693 15.9380 3.02918i 0.605435 0.115069i
694694 2.76729 20.5400i 0.105045 0.779686i
695695 8.29394 25.5261i 0.314607 0.968261i
696696 −16.5993 + 3.82638i −0.629196 + 0.145039i
697697 13.9682 + 10.1485i 0.529082 + 0.384401i
698698 8.60367 + 47.2169i 0.325654 + 1.78719i
699699 −26.1362 + 8.49217i −0.988563 + 0.321203i
700700 36.5065 + 45.6429i 1.37982 + 1.72514i
701701 −34.5883 + 25.1299i −1.30638 + 0.949142i −0.999996 0.00276567i 0.999120π-0.999120\pi
−0.306386 + 0.951908i 0.599120π0.599120\pi
702702 6.87322 14.2987i 0.259413 0.539669i
703703 13.4923 0.508873
704704 26.5309 0.334705i 0.999920 0.0126147i
705705 5.97218 0.224925
706706 8.45747 17.5945i 0.318301 0.662177i
707707 12.1066 8.79593i 0.455314 0.330805i
708708 11.7366 + 14.6739i 0.441087 + 0.551477i
709709 −6.59283 + 2.14214i −0.247599 + 0.0804498i −0.430187 0.902740i 0.641552π-0.641552\pi
0.182588 + 0.983189i 0.441552π0.441552\pi
710710 12.3078 + 67.5452i 0.461904 + 2.53493i
711711 16.5155 + 11.9992i 0.619378 + 0.450005i
712712 −22.0067 + 5.07285i −0.824735 + 0.190113i
713713 0.221283 0.681039i 0.00828711 0.0255051i
714714 −2.74223 + 20.3540i −0.102625 + 0.761728i
715715 −11.7543 + 24.9355i −0.439587 + 0.932535i
716716 −32.7176 8.97886i −1.22271 0.335556i
717717 −5.97662 + 18.3942i −0.223201 + 0.686942i
718718 21.0265 11.3344i 0.784703 0.422994i
719719 29.1465 40.1168i 1.08698 1.49610i 0.235388 0.971901i 0.424364π-0.424364\pi
0.851594 0.524202i 0.175636π-0.175636\pi
720720 −26.8944 6.05714i −1.00229 0.225736i
721721 16.3514 5.31288i 0.608957 0.197862i
722722 −5.31526 5.07460i −0.197813 0.188857i
723723 7.88268 + 10.8496i 0.293160 + 0.403500i
724724 −22.2101 14.6149i −0.825430 0.543159i
725725 −56.4469 −2.09639
726726 −11.2042 + 13.2816i −0.415827 + 0.492928i
727727 20.0972i 0.745365i 0.927959 + 0.372683i 0.121562π0.121562\pi
−0.927959 + 0.372683i 0.878438π0.878438\pi
728728 −10.9508 + 12.5890i −0.405865 + 0.466578i
729729 −15.3440 + 11.1480i −0.568295 + 0.412890i
730730 −13.0612 12.4699i −0.483418 0.461530i
731731 1.99265 + 6.13275i 0.0737008 + 0.226828i
732732 0.324930 + 7.01018i 0.0120098 + 0.259104i
733733 38.5016 + 27.9731i 1.42209 + 1.03321i 0.991422 + 0.130699i 0.0417222π0.0417222\pi
0.430669 + 0.902510i 0.358278π0.358278\pi
734734 0.151143 + 0.280388i 0.00557881 + 0.0103493i
735735 −3.30952 1.07533i −0.122074 0.0396641i
736736 −3.00070 + 3.79064i −0.110607 + 0.139725i
737737 10.3756 + 4.89094i 0.382190 + 0.180160i
738738 1.22659 9.10424i 0.0451513 0.335132i
739739 −47.1991 15.3359i −1.73625 0.564140i −0.741917 0.670492i 0.766083π-0.766083\pi
−0.994329 + 0.106351i 0.966083π0.966083\pi
740740 −26.7300 + 10.0758i −0.982615 + 0.370395i
741741 5.15502 7.09528i 0.189374 0.260651i
742742 16.3944 2.98733i 0.601859 0.109668i
743743 11.3841 + 35.0366i 0.417642 + 1.28537i 0.909866 + 0.414901i 0.136184π0.136184\pi
−0.492225 + 0.870468i 0.663816π0.663816\pi
744744 −2.26950 + 1.36262i −0.0832039 + 0.0499559i
745745 26.2074 + 36.0714i 0.960166 + 1.32155i
746746 6.94465 14.4473i 0.254262 0.528953i
747747 1.60478i 0.0587157i
748748 16.1036 + 26.3663i 0.588806 + 0.964047i
749749 42.8484i 1.56565i
750750 30.6236 + 14.7204i 1.11822 + 0.537514i
751751 3.19001 + 4.39067i 0.116405 + 0.160218i 0.863244 0.504788i 0.168429π-0.168429\pi
−0.746839 + 0.665005i 0.768429π0.768429\pi
752752 4.99393 2.15152i 0.182110 0.0784577i
753753 0.925722 + 2.84908i 0.0337352 + 0.103826i
754754 −2.88876 15.8535i −0.105203 0.577350i
755755 −3.18992 + 4.39054i −0.116093 + 0.159788i
756756 27.7309 10.4531i 1.00856 0.380175i
757757 18.5263 + 6.01955i 0.673348 + 0.218784i 0.625681 0.780079i 0.284821π-0.284821\pi
0.0476675 + 0.998863i 0.484821π0.484821\pi
758758 −7.30688 0.984433i −0.265398 0.0357562i
759759 −0.591174 3.11045i −0.0214582 0.112902i
760760 −38.0396 16.1620i −1.37984 0.586256i
761761 −11.3571 3.69015i −0.411695 0.133768i 0.0958447 0.995396i 0.469445π-0.469445\pi
−0.507539 + 0.861629i 0.669445π0.669445\pi
762762 17.7406 9.56308i 0.642674 0.346434i
763763 −6.47511 4.70444i −0.234415 0.170312i
764764 50.5690 2.34393i 1.82952 0.0848004i
765765 −9.91954 30.5292i −0.358642 1.10379i
766766 −32.2561 + 33.7858i −1.16546 + 1.22073i
767767 −14.3804 + 10.4480i −0.519248 + 0.377256i
768768 17.5660 3.29225i 0.633859 0.118799i
769769 42.9323i 1.54818i −0.633077 0.774089i 0.718208π-0.718208\pi
0.633077 0.774089i 0.281792π-0.281792\pi
770770 −48.0466 + 18.5283i −1.73148 + 0.667714i
771771 15.0714 0.542784
772772 −10.5499 6.94219i −0.379701 0.249855i
773773 −5.52701 7.60728i −0.198793 0.273615i 0.697969 0.716128i 0.254087π-0.254087\pi
−0.896762 + 0.442513i 0.854087π0.854087\pi
774774 2.36923 2.48159i 0.0851602 0.0891989i
775775 −8.34239 + 2.71061i −0.299667 + 0.0973678i
776776 2.75740 31.3957i 0.0989850 1.12704i
777777 6.65557 9.16060i 0.238767 0.328635i
778778 4.99619 + 9.26850i 0.179122 + 0.332292i
779779 4.25597 13.0985i 0.152486 0.469303i
780780 −4.91413 + 17.9063i −0.175954 + 0.641149i
781781 −40.6128 5.15846i −1.45324 0.184584i
782782 −5.57899 0.751640i −0.199504 0.0268786i
783783 −8.84458 + 27.2208i −0.316079 + 0.972793i
784784 −3.15481 + 0.293088i −0.112672 + 0.0104674i
785785 61.1716 + 44.4438i 2.18331 + 1.58627i
786786 −16.8026 + 3.06170i −0.599329 + 0.109207i
787787 48.8038 15.8573i 1.73967 0.565252i 0.744878 0.667200i 0.232507π-0.232507\pi
0.994790 + 0.101948i 0.0325074π0.0325074\pi
788788 −13.5822 16.9814i −0.483845 0.604936i
789789 0.536409 0.389724i 0.0190967 0.0138745i
790790 −58.4012 28.0728i −2.07782 0.998786i
791791 28.4927 1.01308
792792 8.28317 14.1989i 0.294330 0.504534i
793793 −6.63865 −0.235745
794794 16.0288 + 7.70486i 0.568840 + 0.273435i
795795 15.0032 10.9005i 0.532109 0.386600i
796796 −34.6481 + 27.7126i −1.22807 + 0.982246i
797797 −20.8890 + 6.78723i −0.739925 + 0.240416i −0.654640 0.755941i 0.727180π-0.727180\pi
−0.0852843 + 0.996357i 0.527180π0.527180\pi
798798 16.1175 2.93686i 0.570552 0.103964i
799799 5.12241 + 3.72165i 0.181218 + 0.131662i
800800 59.1707 + 2.44422i 2.09200 + 0.0864163i
801801 −4.32365 + 13.3068i −0.152769 + 0.470173i
802802 −19.5209 2.63000i −0.689309 0.0928685i
803803 9.43929 5.18100i 0.333105 0.182833i
804804 7.45077 + 2.04475i 0.262768 + 0.0721129i
805805 2.89950 8.92374i 0.102194 0.314520i
806806 −1.18823 2.20430i −0.0418535 0.0776430i
807807 12.7899 17.6038i 0.450225 0.619682i
808808 1.32661 15.1047i 0.0466698 0.531381i
809809 −44.5044 + 14.4604i −1.56469 + 0.508399i −0.958056 0.286580i 0.907482π-0.907482\pi
−0.606636 + 0.794980i 0.707482π0.707482\pi
810810 2.58242 2.70489i 0.0907371 0.0950403i
811811 −1.59838 2.19998i −0.0561267 0.0772518i 0.780031 0.625741i 0.215203π-0.215203\pi
−0.836158 + 0.548489i 0.815203π0.815203\pi
812812 16.5470 25.1462i 0.580685 0.882457i
813813 −27.4153 −0.961498
814814 −0.917647 17.0086i −0.0321635 0.596153i
815815 43.8232i 1.53506i
816816 13.7368 + 15.6320i 0.480883 + 0.547230i
817817 4.16141 3.02344i 0.145589 0.105777i
818818 −1.51316 + 1.58492i −0.0529063 + 0.0554154i
819819 3.19441 + 9.83137i 0.111622 + 0.343536i
820820 1.35012 + 29.1281i 0.0471484 + 1.01720i
821821 35.2195 + 25.5884i 1.22917 + 0.893043i 0.996828 0.0795914i 0.0253616π-0.0253616\pi
0.232341 + 0.972634i 0.425362π0.425362\pi
822822 29.8976 16.1163i 1.04280 0.562121i
823823 −18.1038 5.88230i −0.631060 0.205044i −0.0240156 0.999712i 0.507645π-0.507645\pi
−0.607045 + 0.794668i 0.707645π0.707645\pi
824824 6.81220 16.0335i 0.237314 0.558555i
825825 −26.5683 + 28.2541i −0.924988 + 0.983680i
826826 −32.9068 4.43344i −1.14498 0.154259i
827827 36.6382 + 11.9045i 1.27404 + 0.413959i 0.866476 0.499220i 0.166380π-0.166380\pi
0.407560 + 0.913179i 0.366380π0.366380\pi
828828 1.05648 + 2.80272i 0.0367152 + 0.0974011i
829829 −19.6824 + 27.0905i −0.683597 + 0.940890i −0.999970 0.00774447i 0.997535π-0.997535\pi
0.316373 + 0.948635i 0.397535π0.397535\pi
830830 −0.913141 5.01131i −0.0316956 0.173945i
831831 5.07346 + 15.6145i 0.175996 + 0.541661i
832832 2.34168 + 16.7436i 0.0811831 + 0.580479i
833833 −2.16851 2.98470i −0.0751344 0.103414i
834834 9.71568 + 4.67022i 0.336427 + 0.161717i
835835 79.8031i 2.76170i
836836 16.0332 18.7163i 0.554520 0.647315i
837837 4.44773i 0.153736i
838838 −11.2809 + 23.4683i −0.389694 + 0.810698i
839839 −3.48024 4.79014i −0.120151 0.165374i 0.744705 0.667394i 0.232590π-0.232590\pi
−0.864856 + 0.502020i 0.832590π0.832590\pi
840840 −29.7375 + 17.8545i −1.02604 + 0.616039i
841841 0.0222891 + 0.0685987i 0.000768589 + 0.00236547i
842842 −38.9176 + 7.09141i −1.34119 + 0.244386i
843843 15.1270 20.8205i 0.521000 0.717095i
844844 −3.18464 8.44848i −0.109620 0.290809i
845845 31.9215 + 10.3719i 1.09813 + 0.356805i
846846 0.449814 3.33871i 0.0154649 0.114787i
847847 −1.88663 30.6477i −0.0648255 1.05307i
848848 8.61869 14.5200i 0.295967 0.498617i
849849 −23.9747 7.78985i −0.822809 0.267347i
850850 32.7203 + 60.6999i 1.12230 + 2.08199i
851851 2.51091 + 1.82428i 0.0860727 + 0.0625355i
852852 −27.5458 + 1.27678i −0.943705 + 0.0437418i
853853 −2.67901 8.24514i −0.0917275 0.282308i 0.894660 0.446749i 0.147418π-0.147418\pi
−0.986387 + 0.164440i 0.947418π0.947418\pi
854854 −8.96956 8.56344i −0.306932 0.293035i
855855 −20.7158 + 15.0509i −0.708464 + 0.514730i
856856 32.7571 + 28.4946i 1.11961 + 0.973926i
857857 18.5127i 0.632382i 0.948695 + 0.316191i 0.102404π0.102404\pi
−0.948695 + 0.316191i 0.897596π0.897596\pi
858858 −9.29502 6.01593i −0.317327 0.205381i
859859 −0.218543 −0.00745661 −0.00372830 0.999993i 0.501187π-0.501187\pi
−0.00372830 + 0.999993i 0.501187π0.501187\pi
860860 −5.98643 + 9.09749i −0.204136 + 0.310222i
861861 −6.79382 9.35090i −0.231533 0.318678i
862862 −30.0483 28.6878i −1.02345 0.977110i
863863 5.38003 1.74808i 0.183138 0.0595053i −0.216012 0.976391i 0.569305π-0.569305\pi
0.399151 + 0.916885i 0.369305π0.369305\pi
864864 10.4501 28.1513i 0.355518 0.957728i
865865 36.0112 49.5651i 1.22442 1.68526i
866866 −22.9420 + 12.3669i −0.779601 + 0.420245i
867867 −1.62000 + 4.98584i −0.0550180 + 0.169328i
868868 1.23797 4.51099i 0.0420196 0.153113i
869869 26.4685 28.1479i 0.897881 0.954853i
870870 4.47282 33.1991i 0.151643 1.12556i
871871 −2.25858 + 6.95120i −0.0765291 + 0.235532i
872872 −7.90251 + 1.82164i −0.267613 + 0.0616885i
873873 −15.7967 11.4770i −0.534639 0.388438i
874874 0.804988 + 4.41777i 0.0272291 + 0.149433i
875875 −57.1038 + 18.5541i −1.93046 + 0.627244i
876876 5.66396 4.53020i 0.191367 0.153061i
877877 28.1771 20.4719i 0.951473 0.691286i 0.000318228 1.00000i 0.499899π-0.499899\pi
0.951155 + 0.308714i 0.0998987π0.0998987\pi
878878 −1.82162 + 3.78960i −0.0614767 + 0.127893i
879879 −0.250994 −0.00846583
880880 −17.7869 + 49.0526i −0.599595 + 1.65356i
881881 −29.7384 −1.00191 −0.500957 0.865472i 0.667018π-0.667018\pi
−0.500957 + 0.865472i 0.667018π0.667018\pi
882882 −0.850422 + 1.76917i −0.0286352 + 0.0595712i
883883 16.7903 12.1988i 0.565038 0.410524i −0.268262 0.963346i 0.586449π-0.586449\pi
0.833299 + 0.552822i 0.186449π0.186449\pi
884884 −15.3735 + 12.2962i −0.517066 + 0.413564i
885885 −35.1428 + 11.4186i −1.18131 + 0.383831i
886886 0.302554 + 1.66041i 0.0101645 + 0.0557826i
887887 21.3255 + 15.4939i 0.716042 + 0.520235i 0.885117 0.465368i 0.154078π-0.154078\pi
−0.169075 + 0.985603i 0.554078π0.554078\pi
888888 −2.57715 11.1800i −0.0864835 0.375176i
889889 −11.0054 + 33.8711i −0.369109 + 1.13600i
890890 5.92987 44.0140i 0.198770 1.47535i
891891 1.07295 + 1.95481i 0.0359452 + 0.0654887i
892892 8.11126 29.5562i 0.271585 0.989613i
893893 1.56075 4.80349i 0.0522285 0.160743i
894894 −15.7634 + 8.49725i −0.527205 + 0.284190i
895895 39.2164 53.9767i 1.31086 1.80424i
896896 −18.4343 + 25.6431i −0.615846 + 0.856674i
897897 1.91869 0.623419i 0.0640630 0.0208153i
898898 −18.8629 18.0088i −0.629463 0.600962i
899899 2.65546 + 3.65492i 0.0885645 + 0.121899i
900900 20.1684 30.6495i 0.672279 1.02165i
901901 19.6612 0.655010
902902 −16.8017 4.47428i −0.559434 0.148977i
903903 4.31681i 0.143654i
904904 18.9480 21.7823i 0.630200 0.724470i
905905 42.2991 30.7321i 1.40607 1.02157i
906906 −1.57655 1.50517i −0.0523775 0.0500060i
907907 2.25055 + 6.92648i 0.0747283 + 0.229990i 0.981443 0.191755i 0.0614178π-0.0614178\pi
−0.906715 + 0.421745i 0.861418π0.861418\pi
908908 40.4917 1.87684i 1.34376 0.0622850i
909909 −7.59993 5.52167i −0.252074 0.183142i
910910 −15.5695 28.8832i −0.516124 0.957468i
911911 15.5732 + 5.06005i 0.515964 + 0.167647i 0.555413 0.831575i 0.312560π-0.312560\pi
−0.0394488 + 0.999222i 0.512560π0.512560\pi
912912 8.47309 14.2746i 0.280572 0.472681i
913913 3.01314 + 0.382716i 0.0997205 + 0.0126661i
914914 0.0603695 0.448087i 0.00199684 0.0148214i
915915 −13.1251 4.26459i −0.433901 0.140983i
916916 2.62845 + 6.97297i 0.0868463 + 0.230393i
917917 17.7399 24.4168i 0.585822 0.806315i
918918 34.3987 6.26799i 1.13533 0.206875i
919919 1.67576 + 5.15747i 0.0552783 + 0.170129i 0.974884 0.222714i 0.0714916π-0.0714916\pi
−0.919606 + 0.392843i 0.871492π0.871492\pi
920920 −4.89389 8.15101i −0.161347 0.268731i
921921 −5.21474 7.17748i −0.171832 0.236506i
922922 8.99452 18.7117i 0.296219 0.616237i
923923 26.0860i 0.858630i
924924 −4.79844 20.1182i −0.157857 0.661840i
925925 38.0182i 1.25003i
926926 20.5551 + 9.88063i 0.675483 + 0.324697i
927927 −6.34389 8.73161i −0.208361 0.286784i
928928 −8.22003 29.3724i −0.269836 0.964197i
929929 5.92577 + 18.2377i 0.194418 + 0.598358i 0.999983 + 0.00584999i 0.00186212π0.00186212\pi
−0.805565 + 0.592508i 0.798138π0.798138\pi
930930 −0.933192 5.12135i −0.0306006 0.167936i
931931 −1.72980 + 2.38086i −0.0566918 + 0.0780296i
932932 −17.3559 46.0433i −0.568512 1.50820i
933933 33.4411 + 10.8657i 1.09481 + 0.355726i
934934 −7.76897 1.04669i −0.254209 0.0342488i
935935 −59.6876 + 11.3442i −1.95199 + 0.370996i
936936 9.64028 + 4.09588i 0.315102 + 0.133878i
937937 29.5300 + 9.59489i 0.964705 + 0.313452i 0.748676 0.662936i 0.230690π-0.230690\pi
0.216028 + 0.976387i 0.430690π0.430690\pi
938938 −12.0182 + 6.47842i −0.392408 + 0.211528i
939939 −16.8414 12.2360i −0.549598 0.399306i
940940 0.495117 + 10.6819i 0.0161489 + 0.348404i
941941 17.9943 + 55.3808i 0.586598 + 1.80536i 0.592756 + 0.805382i 0.298040π0.298040\pi
−0.00615836 + 0.999981i 0.501960π0.501960\pi
942942 −20.9709 + 21.9655i −0.683270 + 0.715674i
943943 2.56306 1.86218i 0.0834649 0.0606408i
944944 −25.2727 + 22.2086i −0.822557 + 0.722828i
945945 58.2792i 1.89582i
946946 −4.09443 5.04031i −0.133121 0.163875i
947947 3.35443 0.109004 0.0545022 0.998514i 0.482643π-0.482643\pi
0.0545022 + 0.998514i 0.482643π0.482643\pi
948948 14.3060 21.7407i 0.464639 0.706104i
949949 4.03282 + 5.55070i 0.130911 + 0.180183i
950950 37.9843 39.7858i 1.23238 1.29082i
951951 24.5168 7.96598i 0.795010 0.258315i
952952 −36.6325 3.21734i −1.18727 0.104275i
953953 10.8409 14.9213i 0.351173 0.483348i −0.596490 0.802620i 0.703439π-0.703439\pi
0.947663 + 0.319273i 0.103439π0.103439\pi
954954 −4.96382 9.20844i −0.160710 0.298134i
955955 −30.7633 + 94.6796i −0.995476 + 3.06376i
956956 −33.3953 9.16487i −1.08008 0.296413i
957957 18.0681 + 8.51710i 0.584058 + 0.275319i
958958 4.74039 + 0.638658i 0.153155 + 0.0206341i
959959 −18.5470 + 57.0817i −0.598913 + 1.84326i
960960 −6.12622 + 34.6074i −0.197723 + 1.11695i
961961 −24.5116 17.8087i −0.790696 0.574474i
962962 10.6777 1.94564i 0.344262 0.0627300i
963963 25.5817 8.31200i 0.824359 0.267850i
964964 −18.7521 + 14.9985i −0.603964 + 0.483068i
965965 20.0924 14.5980i 0.646797 0.469925i
966966 3.39653 + 1.63267i 0.109281 + 0.0525304i
967967 −48.1597 −1.54871 −0.774356 0.632750i 0.781926π-0.781926\pi
−0.774356 + 0.632750i 0.781926π0.781926\pi
968968 −24.6845 18.9388i −0.793389 0.608715i
969969 19.3290 0.620938
970970 55.8597 + 26.8512i 1.79355 + 0.862139i
971971 −1.37224 + 0.996990i −0.0440372 + 0.0319949i −0.609586 0.792720i 0.708664π-0.708664\pi
0.565549 + 0.824715i 0.308664π0.308664\pi
972972 −18.9557 23.6997i −0.608004 0.760168i
973973 −18.1168 + 5.88651i −0.580799 + 0.188713i
974974 42.4129 7.72832i 1.35900 0.247631i
975975 −19.9928 14.5256i −0.640282 0.465192i
976976 −12.5115 + 1.16234i −0.400483 + 0.0372057i
977977 −13.9474 + 42.9258i −0.446218 + 1.37332i 0.434925 + 0.900467i 0.356775π0.356775\pi
−0.881143 + 0.472851i 0.843225π0.843225\pi
978978 17.4435 + 2.35011i 0.557780 + 0.0751481i
979979 23.9539 + 11.2916i 0.765569 + 0.360881i
980980 1.64896 6.00857i 0.0526743 0.191937i
981981 −1.55260 + 4.77842i −0.0495708 + 0.152563i
982982 22.0563 + 40.9169i 0.703845 + 1.30571i
983983 9.96222 13.7118i 0.317745 0.437339i −0.620032 0.784577i 0.712880π-0.712880\pi
0.937777 + 0.347238i 0.112880π0.112880\pi
984984 −11.6666 1.02465i −0.371918 0.0326646i
985985 40.6691 13.2142i 1.29582 0.421039i
986986 24.5249 25.6880i 0.781032 0.818072i
987987 −2.49143 3.42916i −0.0793031 0.109151i
988988 13.1180 + 8.63206i 0.417340 + 0.274623i
989989 1.18323 0.0376245
990990 20.3823 + 25.0910i 0.647793 + 0.797444i
991991 18.1908i 0.577849i 0.957352 + 0.288925i 0.0932977π0.0932977\pi
−0.957352 + 0.288925i 0.906702π0.906702\pi
992992 −2.62533 3.94627i −0.0833543 0.125294i
993993 18.0254 13.0962i 0.572019 0.415596i
994994 33.6492 35.2450i 1.06729 1.11790i
995995 −26.9617 82.9797i −0.854744 2.63063i
996996 2.04368 0.0947269i 0.0647564 0.00300154i
997997 −9.00121 6.53976i −0.285071 0.207116i 0.436055 0.899920i 0.356375π-0.356375\pi
−0.721126 + 0.692804i 0.756375π0.756375\pi
998998 −13.4591 + 7.25514i −0.426040 + 0.229657i
999999 −18.3338 5.95701i −0.580055 0.188471i
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.35.6 yes 32
3.2 odd 2 792.2.bp.b.739.3 32
4.3 odd 2 352.2.s.b.79.6 32
8.3 odd 2 inner 88.2.k.b.35.4 32
8.5 even 2 352.2.s.b.79.5 32
11.2 odd 10 968.2.k.i.723.7 32
11.3 even 5 968.2.k.i.403.3 32
11.4 even 5 968.2.g.e.483.32 32
11.5 even 5 968.2.k.h.699.5 32
11.6 odd 10 inner 88.2.k.b.83.4 yes 32
11.7 odd 10 968.2.g.e.483.1 32
11.8 odd 10 968.2.k.e.403.6 32
11.9 even 5 968.2.k.e.723.2 32
11.10 odd 2 968.2.k.h.475.3 32
24.11 even 2 792.2.bp.b.739.5 32
33.17 even 10 792.2.bp.b.523.5 32
44.7 even 10 3872.2.g.d.1935.14 32
44.15 odd 10 3872.2.g.d.1935.16 32
44.39 even 10 352.2.s.b.303.5 32
88.3 odd 10 968.2.k.i.403.7 32
88.19 even 10 968.2.k.e.403.2 32
88.27 odd 10 968.2.k.h.699.3 32
88.29 odd 10 3872.2.g.d.1935.13 32
88.35 even 10 968.2.k.i.723.3 32
88.37 even 10 3872.2.g.d.1935.15 32
88.43 even 2 968.2.k.h.475.5 32
88.51 even 10 968.2.g.e.483.31 32
88.59 odd 10 968.2.g.e.483.2 32
88.61 odd 10 352.2.s.b.303.6 32
88.75 odd 10 968.2.k.e.723.6 32
88.83 even 10 inner 88.2.k.b.83.6 yes 32
264.83 odd 10 792.2.bp.b.523.3 32
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
88.2.k.b.35.4 32 8.3 odd 2 inner
88.2.k.b.35.6 yes 32 1.1 even 1 trivial
88.2.k.b.83.4 yes 32 11.6 odd 10 inner
88.2.k.b.83.6 yes 32 88.83 even 10 inner
352.2.s.b.79.5 32 8.5 even 2
352.2.s.b.79.6 32 4.3 odd 2
352.2.s.b.303.5 32 44.39 even 10
352.2.s.b.303.6 32 88.61 odd 10
792.2.bp.b.523.3 32 264.83 odd 10
792.2.bp.b.523.5 32 33.17 even 10
792.2.bp.b.739.3 32 3.2 odd 2
792.2.bp.b.739.5 32 24.11 even 2
968.2.g.e.483.1 32 11.7 odd 10
968.2.g.e.483.2 32 88.59 odd 10
968.2.g.e.483.31 32 88.51 even 10
968.2.g.e.483.32 32 11.4 even 5
968.2.k.e.403.2 32 88.19 even 10
968.2.k.e.403.6 32 11.8 odd 10
968.2.k.e.723.2 32 11.9 even 5
968.2.k.e.723.6 32 88.75 odd 10
968.2.k.h.475.3 32 11.10 odd 2
968.2.k.h.475.5 32 88.43 even 2
968.2.k.h.699.3 32 88.27 odd 10
968.2.k.h.699.5 32 11.5 even 5
968.2.k.i.403.3 32 11.3 even 5
968.2.k.i.403.7 32 88.3 odd 10
968.2.k.i.723.3 32 88.35 even 10
968.2.k.i.723.7 32 11.2 odd 10
3872.2.g.d.1935.13 32 88.29 odd 10
3872.2.g.d.1935.14 32 44.7 even 10
3872.2.g.d.1935.15 32 88.37 even 10
3872.2.g.d.1935.16 32 44.15 odd 10