Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(17,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.w (of order \(12\), degree \(4\), 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: | \(5.72208555157\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 17.11 | ||
Character | \(\chi\) | \(=\) | 210.17 |
Dual form | 210.3.w.b.173.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36603 | + | 0.366025i | 0.683013 | + | 0.183013i | ||||
\(3\) | 1.97985 | + | 2.25393i | 0.659950 | + | 0.751309i | ||||
\(4\) | 1.73205 | + | 1.00000i | 0.433013 | + | 0.250000i | ||||
\(5\) | 3.75994 | + | 3.29588i | 0.751988 | + | 0.659177i | ||||
\(6\) | 1.87953 | + | 3.80360i | 0.313255 | + | 0.633933i | ||||
\(7\) | 5.65896 | − | 4.12022i | 0.808423 | − | 0.588602i | ||||
\(8\) | 2.00000 | + | 2.00000i | 0.250000 | + | 0.250000i | ||||
\(9\) | −1.16038 | + | 8.92488i | −0.128931 | + | 0.991654i | ||||
\(10\) | 3.92980 | + | 5.87849i | 0.392980 | + | 0.587849i | ||||
\(11\) | −10.7431 | − | 6.20251i | −0.976641 | − | 0.563864i | −0.0753870 | − | 0.997154i | \(-0.524019\pi\) |
−0.901254 | + | 0.433290i | \(0.857353\pi\) | |||||||
\(12\) | 1.17528 | + | 5.88377i | 0.0979396 | + | 0.490314i | ||||
\(13\) | −17.5103 | − | 17.5103i | −1.34695 | − | 1.34695i | −0.888958 | − | 0.457989i | \(-0.848570\pi\) |
−0.457989 | − | 0.888958i | \(-0.651430\pi\) | |||||||
\(14\) | 9.23839 | − | 3.55700i | 0.659885 | − | 0.254071i | ||||
\(15\) | 0.0154410 | + | 15.0000i | 0.00102940 | + | 0.999999i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | 9.60968 | − | 2.57491i | 0.565275 | − | 0.151465i | 0.0351465 | − | 0.999382i | \(-0.488810\pi\) |
0.530129 | + | 0.847917i | \(0.322144\pi\) | |||||||
\(18\) | −4.85184 | + | 11.7669i | −0.269547 | + | 0.653716i | ||||
\(19\) | 6.00440 | + | 10.3999i | 0.316021 | + | 0.547365i | 0.979654 | − | 0.200694i | \(-0.0643196\pi\) |
−0.663633 | + | 0.748058i | \(0.730986\pi\) | |||||||
\(20\) | 3.21653 | + | 9.46858i | 0.160826 | + | 0.473429i | ||||
\(21\) | 20.4906 | + | 4.59747i | 0.975741 | + | 0.218927i | ||||
\(22\) | −12.4050 | − | 12.4050i | −0.563864 | − | 0.563864i | ||||
\(23\) | −0.588343 | + | 2.19573i | −0.0255801 | + | 0.0954664i | −0.977536 | − | 0.210770i | \(-0.932403\pi\) |
0.951956 | + | 0.306236i | \(0.0990697\pi\) | |||||||
\(24\) | −0.548153 | + | 8.46756i | −0.0228397 | + | 0.352815i | ||||
\(25\) | 3.27431 | + | 24.7847i | 0.130972 | + | 0.991386i | ||||
\(26\) | −17.5103 | − | 30.3287i | −0.673473 | − | 1.16649i | ||||
\(27\) | −22.4134 | + | 15.0545i | −0.830127 | + | 0.557575i | ||||
\(28\) | 13.9218 | − | 1.47747i | 0.497208 | − | 0.0527667i | ||||
\(29\) | 19.7542 | 0.681181 | 0.340590 | − | 0.940212i | \(-0.389373\pi\) | ||||
0.340590 | + | 0.940212i | \(0.389373\pi\) | |||||||
\(30\) | −5.46929 | + | 20.4960i | −0.182310 | + | 0.683201i | ||||
\(31\) | −45.3975 | − | 26.2103i | −1.46444 | − | 0.845493i | −0.465225 | − | 0.885193i | \(-0.654026\pi\) |
−0.999212 | + | 0.0396998i | \(0.987360\pi\) | |||||||
\(32\) | 1.46410 | + | 5.46410i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −7.28965 | − | 36.4941i | −0.220899 | − | 1.10588i | ||||
\(34\) | 14.0695 | 0.413810 | ||||||||
\(35\) | 34.8571 | + | 3.15949i | 0.995917 | + | 0.0902712i | ||||
\(36\) | −10.9347 | + | 14.2980i | −0.303742 | + | 0.397166i | ||||
\(37\) | −1.97085 | + | 7.35531i | −0.0532662 | + | 0.198792i | −0.987431 | − | 0.158049i | \(-0.949480\pi\) |
0.934165 | + | 0.356841i | \(0.116146\pi\) | |||||||
\(38\) | 4.39553 | + | 16.4043i | 0.115672 | + | 0.431693i | ||||
\(39\) | 4.79916 | − | 74.1348i | 0.123055 | − | 1.90089i | ||||
\(40\) | 0.928115 | + | 14.1116i | 0.0232029 | + | 0.352791i | ||||
\(41\) | 18.4715 | 0.450524 | 0.225262 | − | 0.974298i | \(-0.427676\pi\) | ||||
0.225262 | + | 0.974298i | \(0.427676\pi\) | |||||||
\(42\) | 26.3078 | + | 13.7803i | 0.626377 | + | 0.328103i | ||||
\(43\) | 33.8663 | − | 33.8663i | 0.787588 | − | 0.787588i | −0.193511 | − | 0.981098i | \(-0.561987\pi\) |
0.981098 | + | 0.193511i | \(0.0619874\pi\) | |||||||
\(44\) | −12.4050 | − | 21.4861i | −0.281932 | − | 0.488321i | ||||
\(45\) | −33.7783 | + | 29.7326i | −0.750629 | + | 0.660723i | ||||
\(46\) | −1.60738 | + | 2.78407i | −0.0349431 | + | 0.0605233i | ||||
\(47\) | −6.09028 | + | 22.7292i | −0.129580 | + | 0.483600i | −0.999961 | − | 0.00877822i | \(-0.997206\pi\) |
0.870381 | + | 0.492379i | \(0.163872\pi\) | |||||||
\(48\) | −3.84813 | + | 11.3663i | −0.0801694 | + | 0.236797i | ||||
\(49\) | 15.0476 | − | 46.6323i | 0.307094 | − | 0.951679i | ||||
\(50\) | −4.59902 | + | 35.0549i | −0.0919805 | + | 0.701099i | ||||
\(51\) | 24.8294 | + | 16.5616i | 0.486851 | + | 0.324737i | ||||
\(52\) | −12.8184 | − | 47.8391i | −0.246508 | − | 0.919982i | ||||
\(53\) | −76.5487 | + | 20.5112i | −1.44432 | + | 0.387003i | −0.894043 | − | 0.447982i | \(-0.852143\pi\) |
−0.550273 | + | 0.834985i | \(0.685476\pi\) | |||||||
\(54\) | −36.1276 | + | 12.3610i | −0.669030 | + | 0.228907i | ||||
\(55\) | −19.9505 | − | 58.7289i | −0.362737 | − | 1.06780i | ||||
\(56\) | 19.5584 | + | 3.07748i | 0.349256 | + | 0.0549550i | ||||
\(57\) | −11.5529 | + | 34.1238i | −0.202682 | + | 0.598663i | ||||
\(58\) | 26.9848 | + | 7.23056i | 0.465255 | + | 0.124665i | ||||
\(59\) | −6.05375 | − | 3.49513i | −0.102606 | − | 0.0592396i | 0.447819 | − | 0.894124i | \(-0.352201\pi\) |
−0.550425 | + | 0.834885i | \(0.685534\pi\) | |||||||
\(60\) | −14.9732 | + | 25.9962i | −0.249554 | + | 0.433270i | ||||
\(61\) | −5.55891 | + | 3.20944i | −0.0911296 | + | 0.0526137i | −0.544872 | − | 0.838519i | \(-0.683422\pi\) |
0.453743 | + | 0.891133i | \(0.350089\pi\) | |||||||
\(62\) | −52.4206 | − | 52.4206i | −0.845493 | − | 0.845493i | ||||
\(63\) | 30.2059 | + | 55.2865i | 0.479459 | + | 0.877564i | ||||
\(64\) | 8.00000i | 0.125000i | ||||||||
\(65\) | −8.12579 | − | 123.550i | −0.125012 | − | 1.90076i | ||||
\(66\) | 3.39992 | − | 52.5201i | 0.0515140 | − | 0.795759i | ||||
\(67\) | 74.1402 | − | 19.8658i | 1.10657 | − | 0.296505i | 0.341133 | − | 0.940015i | \(-0.389189\pi\) |
0.765437 | + | 0.643510i | \(0.222523\pi\) | |||||||
\(68\) | 19.2194 | + | 5.14981i | 0.282638 | + | 0.0757325i | ||||
\(69\) | −6.11384 | + | 3.02113i | −0.0886064 | + | 0.0437845i | ||||
\(70\) | 46.4592 | + | 17.0745i | 0.663703 | + | 0.243922i | ||||
\(71\) | − | 29.3260i | − | 0.413043i | −0.978442 | − | 0.206521i | \(-0.933786\pi\) | ||
0.978442 | − | 0.206521i | \(-0.0662143\pi\) | |||||||
\(72\) | −20.1705 | + | 15.5290i | −0.280146 | + | 0.215681i | ||||
\(73\) | 14.2733 | − | 3.82451i | 0.195524 | − | 0.0523906i | −0.159728 | − | 0.987161i | \(-0.551062\pi\) |
0.355252 | + | 0.934770i | \(0.384395\pi\) | |||||||
\(74\) | −5.38446 | + | 9.32616i | −0.0727630 | + | 0.126029i | ||||
\(75\) | −49.3802 | + | 56.4500i | −0.658402 | + | 0.752666i | ||||
\(76\) | 24.0176i | 0.316021i | ||||||||
\(77\) | −86.3502 | + | 9.16400i | −1.12143 | + | 0.119013i | ||||
\(78\) | 33.6910 | − | 99.5134i | 0.431936 | − | 1.27581i | ||||
\(79\) | 118.620 | − | 68.4854i | 1.50152 | − | 0.866904i | 0.501523 | − | 0.865144i | \(-0.332773\pi\) |
0.999998 | − | 0.00175954i | \(-0.000560079\pi\) | |||||||
\(80\) | −3.89739 | + | 19.6166i | −0.0487174 | + | 0.245207i | ||||
\(81\) | −78.3070 | − | 20.7125i | −0.966754 | − | 0.255710i | ||||
\(82\) | 25.2325 | + | 6.76103i | 0.307714 | + | 0.0824516i | ||||
\(83\) | −12.9941 | + | 12.9941i | −0.156555 | + | 0.156555i | −0.781038 | − | 0.624483i | \(-0.785310\pi\) |
0.624483 | + | 0.781038i | \(0.285310\pi\) | |||||||
\(84\) | 30.8932 | + | 28.4536i | 0.367777 | + | 0.338733i | ||||
\(85\) | 44.6184 | + | 21.9909i | 0.524923 | + | 0.258716i | ||||
\(86\) | 58.6581 | − | 33.8663i | 0.682071 | − | 0.393794i | ||||
\(87\) | 39.1105 | + | 44.5246i | 0.449546 | + | 0.511777i | ||||
\(88\) | −9.08110 | − | 33.8911i | −0.103194 | − | 0.385126i | ||||
\(89\) | −91.0404 | + | 52.5622i | −1.02293 | + | 0.590586i | −0.914950 | − | 0.403567i | \(-0.867770\pi\) |
−0.107976 | + | 0.994154i | \(0.534437\pi\) | |||||||
\(90\) | −57.0249 | + | 28.2517i | −0.633610 | + | 0.313908i | ||||
\(91\) | −171.236 | − | 26.9438i | −1.88172 | − | 0.296086i | ||||
\(92\) | −3.21477 | + | 3.21477i | −0.0349431 | + | 0.0349431i | ||||
\(93\) | −30.8043 | − | 154.215i | −0.331229 | − | 1.65823i | ||||
\(94\) | −16.6389 | + | 28.8195i | −0.177010 | + | 0.306590i | ||||
\(95\) | −11.7008 | + | 58.8929i | −0.123166 | + | 0.619926i | ||||
\(96\) | −9.41699 | + | 14.1181i | −0.0980936 | + | 0.147063i | ||||
\(97\) | −69.6870 | + | 69.6870i | −0.718423 | + | 0.718423i | −0.968282 | − | 0.249859i | \(-0.919616\pi\) |
0.249859 | + | 0.968282i | \(0.419616\pi\) | |||||||
\(98\) | 37.6240 | − | 58.1931i | 0.383919 | − | 0.593807i | ||||
\(99\) | 67.8227 | − | 88.6833i | 0.685077 | − | 0.895790i | ||||
\(100\) | −19.1134 | + | 46.2026i | −0.191134 | + | 0.462026i | ||||
\(101\) | −64.9654 | + | 112.523i | −0.643222 | + | 1.11409i | 0.341487 | + | 0.939886i | \(0.389069\pi\) |
−0.984709 | + | 0.174207i | \(0.944264\pi\) | |||||||
\(102\) | 27.8556 | + | 31.7117i | 0.273094 | + | 0.310899i | ||||
\(103\) | 17.3899 | − | 64.8999i | 0.168834 | − | 0.630096i | −0.828686 | − | 0.559713i | \(-0.810911\pi\) |
0.997520 | − | 0.0703830i | \(-0.0224221\pi\) | |||||||
\(104\) | − | 70.0412i | − | 0.673473i | ||||||
\(105\) | 61.8906 | + | 84.8207i | 0.589434 | + | 0.807816i | ||||
\(106\) | −112.075 | −1.05731 | ||||||||
\(107\) | 98.6262 | + | 26.4268i | 0.921740 | + | 0.246979i | 0.688329 | − | 0.725399i | \(-0.258345\pi\) |
0.233411 | + | 0.972378i | \(0.425011\pi\) | |||||||
\(108\) | −53.8757 | + | 3.66179i | −0.498849 | + | 0.0339055i | ||||
\(109\) | −27.6546 | − | 15.9664i | −0.253712 | − | 0.146481i | 0.367751 | − | 0.929924i | \(-0.380128\pi\) |
−0.621463 | + | 0.783444i | \(0.713461\pi\) | |||||||
\(110\) | −5.75664 | − | 87.5276i | −0.0523331 | − | 0.795705i | ||||
\(111\) | −20.4803 | + | 10.1203i | −0.184507 | + | 0.0911736i | ||||
\(112\) | 25.5908 | + | 11.3628i | 0.228489 | + | 0.101453i | ||||
\(113\) | 156.967 | + | 156.967i | 1.38909 | + | 1.38909i | 0.827235 | + | 0.561857i | \(0.189913\pi\) |
0.561857 | + | 0.827235i | \(0.310087\pi\) | |||||||
\(114\) | −28.2717 | + | 42.3853i | −0.247997 | + | 0.371801i | ||||
\(115\) | −9.44900 | + | 6.31669i | −0.0821652 | + | 0.0549278i | ||||
\(116\) | 34.2154 | + | 19.7542i | 0.294960 | + | 0.170295i | ||||
\(117\) | 176.596 | − | 135.959i | 1.50937 | − | 1.16204i | ||||
\(118\) | −6.99027 | − | 6.99027i | −0.0592396 | − | 0.0592396i | ||||
\(119\) | 43.7716 | − | 54.1653i | 0.367829 | − | 0.455170i | ||||
\(120\) | −29.9691 | + | 30.0309i | −0.249743 | + | 0.250257i | ||||
\(121\) | 16.4422 | + | 28.4787i | 0.135886 | + | 0.235361i | ||||
\(122\) | −8.76834 | + | 2.34947i | −0.0718717 | + | 0.0192580i | ||||
\(123\) | 36.5708 | + | 41.6334i | 0.297324 | + | 0.338483i | ||||
\(124\) | −52.4206 | − | 90.7951i | −0.422746 | − | 0.732218i | ||||
\(125\) | −69.3761 | + | 103.981i | −0.555009 | + | 0.831844i | ||||
\(126\) | 21.0258 | + | 86.5790i | 0.166871 | + | 0.687135i | ||||
\(127\) | −28.1408 | − | 28.1408i | −0.221581 | − | 0.221581i | 0.587583 | − | 0.809164i | \(-0.300080\pi\) |
−0.809164 | + | 0.587583i | \(0.800080\pi\) | |||||||
\(128\) | −2.92820 | + | 10.9282i | −0.0228766 | + | 0.0853766i | ||||
\(129\) | 143.382 | + | 9.28195i | 1.11149 | + | 0.0719531i | ||||
\(130\) | 34.1223 | − | 171.746i | 0.262479 | − | 1.32112i | ||||
\(131\) | −90.6747 | − | 157.053i | −0.692173 | − | 1.19888i | −0.971124 | − | 0.238574i | \(-0.923320\pi\) |
0.278951 | − | 0.960305i | \(-0.410013\pi\) | |||||||
\(132\) | 23.8681 | − | 70.4993i | 0.180819 | − | 0.534086i | ||||
\(133\) | 76.8286 | + | 34.1133i | 0.577659 | + | 0.256491i | ||||
\(134\) | 108.549 | 0.810066 | ||||||||
\(135\) | −133.891 | − | 17.2679i | −0.991786 | − | 0.127910i | ||||
\(136\) | 24.3692 | + | 14.0695i | 0.179185 | + | 0.103453i | ||||
\(137\) | 32.9109 | + | 122.825i | 0.240225 | + | 0.896533i | 0.975723 | + | 0.219006i | \(0.0702815\pi\) |
−0.735498 | + | 0.677527i | \(0.763052\pi\) | |||||||
\(138\) | −9.45747 | + | 1.88912i | −0.0685324 | + | 0.0136893i | ||||
\(139\) | −43.3069 | −0.311560 | −0.155780 | − | 0.987792i | \(-0.549789\pi\) | ||||
−0.155780 | + | 0.987792i | \(0.549789\pi\) | |||||||
\(140\) | 57.2148 | + | 40.3295i | 0.408677 | + | 0.288068i | ||||
\(141\) | −63.2878 | + | 31.2734i | −0.448850 | + | 0.221797i | ||||
\(142\) | 10.7341 | − | 40.0601i | 0.0755921 | − | 0.282113i | ||||
\(143\) | 79.5064 | + | 296.722i | 0.555989 | + | 2.07498i | ||||
\(144\) | −33.2375 | + | 13.8301i | −0.230816 | + | 0.0960423i | ||||
\(145\) | 74.2748 | + | 65.1077i | 0.512240 | + | 0.449019i | ||||
\(146\) | 20.8975 | 0.143134 | ||||||||
\(147\) | 134.898 | − | 58.4087i | 0.917672 | − | 0.397338i | ||||
\(148\) | −10.7689 | + | 10.7689i | −0.0727630 | + | 0.0727630i | ||||
\(149\) | −25.1494 | − | 43.5600i | −0.168788 | − | 0.292349i | 0.769206 | − | 0.639001i | \(-0.220652\pi\) |
−0.937994 | + | 0.346652i | \(0.887319\pi\) | |||||||
\(150\) | −88.1167 | + | 59.0377i | −0.587445 | + | 0.393585i | ||||
\(151\) | −100.541 | + | 174.142i | −0.665832 | + | 1.15326i | 0.313227 | + | 0.949678i | \(0.398590\pi\) |
−0.979059 | + | 0.203577i | \(0.934743\pi\) | |||||||
\(152\) | −8.79106 | + | 32.8087i | −0.0578359 | + | 0.215846i | ||||
\(153\) | 11.8299 | + | 88.7531i | 0.0773194 | + | 0.580086i | ||||
\(154\) | −121.311 | − | 19.0881i | −0.787732 | − | 0.123949i | ||||
\(155\) | −84.3060 | − | 248.174i | −0.543910 | − | 1.60112i | ||||
\(156\) | 82.4472 | − | 123.606i | 0.528507 | − | 0.792346i | ||||
\(157\) | 74.9231 | + | 279.617i | 0.477217 | + | 1.78100i | 0.612806 | + | 0.790233i | \(0.290041\pi\) |
−0.135589 | + | 0.990765i | \(0.543293\pi\) | |||||||
\(158\) | 187.106 | − | 50.1348i | 1.18421 | − | 0.317309i | ||||
\(159\) | −197.786 | − | 131.926i | −1.24394 | − | 0.829725i | ||||
\(160\) | −12.5041 | + | 25.3702i | −0.0781507 | + | 0.158564i | ||||
\(161\) | 5.71746 | + | 14.8496i | 0.0355122 | + | 0.0922337i | ||||
\(162\) | −99.3881 | − | 56.9562i | −0.613507 | − | 0.351581i | ||||
\(163\) | 75.7586 | + | 20.2995i | 0.464777 | + | 0.124537i | 0.483605 | − | 0.875286i | \(-0.339327\pi\) |
−0.0188285 | + | 0.999823i | \(0.505994\pi\) | |||||||
\(164\) | 31.9936 | + | 18.4715i | 0.195083 | + | 0.112631i | ||||
\(165\) | 92.8717 | − | 161.242i | 0.562859 | − | 0.977221i | ||||
\(166\) | −22.5064 | + | 12.9941i | −0.135581 | + | 0.0782777i | ||||
\(167\) | 144.633 | + | 144.633i | 0.866063 | + | 0.866063i | 0.992034 | − | 0.125971i | \(-0.0402046\pi\) |
−0.125971 | + | 0.992034i | \(0.540205\pi\) | |||||||
\(168\) | 31.7862 | + | 50.1761i | 0.189204 | + | 0.298667i | ||||
\(169\) | 444.222i | 2.62853i | ||||||||
\(170\) | 52.9007 | + | 46.3716i | 0.311180 | + | 0.272774i | ||||
\(171\) | −99.7855 | + | 41.5207i | −0.583541 | + | 0.242811i | ||||
\(172\) | 92.5244 | − | 24.7918i | 0.537932 | − | 0.144139i | ||||
\(173\) | −197.090 | − | 52.8100i | −1.13925 | − | 0.305260i | −0.360598 | − | 0.932721i | \(-0.617427\pi\) |
−0.778648 | + | 0.627461i | \(0.784094\pi\) | |||||||
\(174\) | 37.1287 | + | 75.1372i | 0.213384 | + | 0.431823i | ||||
\(175\) | 120.647 | + | 126.764i | 0.689413 | + | 0.724368i | ||||
\(176\) | − | 49.6201i | − | 0.281932i | ||||||
\(177\) | −4.10774 | − | 20.5646i | −0.0232076 | − | 0.116184i | ||||
\(178\) | −143.603 | + | 38.4782i | −0.806756 | + | 0.216170i | ||||
\(179\) | −41.2899 | + | 71.5162i | −0.230670 | + | 0.399532i | −0.958005 | − | 0.286750i | \(-0.907425\pi\) |
0.727336 | + | 0.686282i | \(0.240758\pi\) | |||||||
\(180\) | −88.2383 | + | 17.7200i | −0.490213 | + | 0.0984443i | ||||
\(181\) | − | 255.798i | − | 1.41325i | −0.707588 | − | 0.706625i | \(-0.750217\pi\) | ||
0.707588 | − | 0.706625i | \(-0.249783\pi\) | |||||||
\(182\) | −224.051 | − | 99.4828i | −1.23105 | − | 0.546609i | ||||
\(183\) | −18.2396 | − | 6.17517i | −0.0996702 | − | 0.0337441i | ||||
\(184\) | −5.56814 | + | 3.21477i | −0.0302616 | + | 0.0174716i | ||||
\(185\) | −31.6525 | + | 21.1598i | −0.171095 | + | 0.114378i | ||||
\(186\) | 14.3672 | − | 221.937i | 0.0772432 | − | 1.19321i | ||||
\(187\) | −119.208 | − | 31.9417i | −0.637477 | − | 0.170811i | ||||
\(188\) | −33.2779 | + | 33.2779i | −0.177010 | + | 0.177010i | ||||
\(189\) | −64.8087 | + | 177.541i | −0.342903 | + | 0.939371i | ||||
\(190\) | −37.5398 | + | 76.1665i | −0.197578 | + | 0.400876i | ||||
\(191\) | 203.101 | − | 117.260i | 1.06335 | − | 0.613928i | 0.136996 | − | 0.990572i | \(-0.456255\pi\) |
0.926358 | + | 0.376644i | \(0.122922\pi\) | |||||||
\(192\) | −18.0314 | + | 15.8388i | −0.0939136 | + | 0.0824938i | ||||
\(193\) | 16.1562 | + | 60.2957i | 0.0837108 | + | 0.312413i | 0.995067 | − | 0.0992057i | \(-0.0316302\pi\) |
−0.911356 | + | 0.411619i | \(0.864964\pi\) | |||||||
\(194\) | −120.701 | + | 69.6870i | −0.622173 | + | 0.359212i | ||||
\(195\) | 262.384 | − | 262.925i | 1.34556 | − | 1.34833i | ||||
\(196\) | 72.6955 | − | 65.7219i | 0.370895 | − | 0.335316i | ||||
\(197\) | 72.9575 | − | 72.9575i | 0.370342 | − | 0.370342i | −0.497259 | − | 0.867602i | \(-0.665660\pi\) |
0.867602 | + | 0.497259i | \(0.165660\pi\) | |||||||
\(198\) | 125.108 | − | 96.3188i | 0.631858 | − | 0.486458i | ||||
\(199\) | 98.5803 | − | 170.746i | 0.495378 | − | 0.858020i | −0.504608 | − | 0.863349i | \(-0.668363\pi\) |
0.999986 | + | 0.00532864i | \(0.00169617\pi\) | |||||||
\(200\) | −43.0207 | + | 56.1179i | −0.215103 | + | 0.280590i | ||||
\(201\) | 191.563 | + | 127.775i | 0.953048 | + | 0.635698i | ||||
\(202\) | −129.931 | + | 129.931i | −0.643222 | + | 0.643222i | ||||
\(203\) | 111.788 | − | 81.3918i | 0.550682 | − | 0.400945i | ||||
\(204\) | 26.4442 | + | 53.5149i | 0.129628 | + | 0.262328i | ||||
\(205\) | 69.4517 | + | 60.8799i | 0.338789 | + | 0.296975i | ||||
\(206\) | 47.5100 | − | 82.2898i | 0.230631 | − | 0.399465i | ||||
\(207\) | −18.9139 | − | 7.79877i | −0.0913715 | − | 0.0376752i | ||||
\(208\) | 25.6369 | − | 95.6781i | 0.123254 | − | 0.459991i | ||||
\(209\) | − | 148.969i | − | 0.712772i | ||||||
\(210\) | 53.4976 | + | 138.521i | 0.254751 | + | 0.659623i | ||||
\(211\) | 6.79097 | 0.0321847 | 0.0160924 | − | 0.999871i | \(-0.494877\pi\) | ||||
0.0160924 | + | 0.999871i | \(0.494877\pi\) | |||||||
\(212\) | −153.097 | − | 41.0223i | −0.722158 | − | 0.193502i | ||||
\(213\) | 66.0988 | − | 58.0612i | 0.310323 | − | 0.272588i | ||||
\(214\) | 125.053 | + | 72.1994i | 0.584360 | + | 0.337380i | ||||
\(215\) | 238.954 | − | 15.7159i | 1.11142 | − | 0.0730972i | ||||
\(216\) | −74.9359 | − | 14.7178i | −0.346925 | − | 0.0681379i | ||||
\(217\) | −364.895 | + | 38.7248i | −1.68154 | + | 0.178455i | ||||
\(218\) | −31.9328 | − | 31.9328i | −0.146481 | − | 0.146481i | ||||
\(219\) | 36.8791 | + | 24.5990i | 0.168398 | + | 0.112324i | ||||
\(220\) | 24.1736 | − | 121.672i | 0.109880 | − | 0.553054i | ||||
\(221\) | −213.356 | − | 123.181i | −0.965411 | − | 0.557380i | ||||
\(222\) | −31.6809 | + | 6.32822i | −0.142707 | + | 0.0285055i | ||||
\(223\) | −120.317 | − | 120.317i | −0.539537 | − | 0.539537i | 0.383856 | − | 0.923393i | \(-0.374596\pi\) |
−0.923393 | + | 0.383856i | \(0.874596\pi\) | |||||||
\(224\) | 30.7986 | + | 24.8887i | 0.137494 | + | 0.111110i | ||||
\(225\) | −225.000 | + | 0.463230i | −0.999998 | + | 0.00205880i | ||||
\(226\) | 156.967 | + | 271.875i | 0.694546 | + | 1.20299i | ||||
\(227\) | −342.548 | + | 91.7855i | −1.50902 | + | 0.404342i | −0.916111 | − | 0.400925i | \(-0.868689\pi\) |
−0.592912 | + | 0.805267i | \(0.702022\pi\) | |||||||
\(228\) | −54.1340 | + | 47.5513i | −0.237430 | + | 0.208558i | ||||
\(229\) | −40.1136 | − | 69.4788i | −0.175169 | − | 0.303401i | 0.765051 | − | 0.643970i | \(-0.222714\pi\) |
−0.940220 | + | 0.340569i | \(0.889380\pi\) | |||||||
\(230\) | −15.2196 | + | 5.17019i | −0.0661723 | + | 0.0224791i | ||||
\(231\) | −191.615 | − | 176.484i | −0.829504 | − | 0.763999i | ||||
\(232\) | 39.5085 | + | 39.5085i | 0.170295 | + | 0.170295i | ||||
\(233\) | −22.9825 | + | 85.7717i | −0.0986372 | + | 0.368119i | −0.997546 | − | 0.0700172i | \(-0.977695\pi\) |
0.898909 | + | 0.438136i | \(0.144361\pi\) | |||||||
\(234\) | 290.999 | − | 121.085i | 1.24359 | − | 0.517456i | ||||
\(235\) | −97.8119 | + | 65.3877i | −0.416221 | + | 0.278245i | ||||
\(236\) | −6.99027 | − | 12.1075i | −0.0296198 | − | 0.0513030i | ||||
\(237\) | 389.211 | + | 131.770i | 1.64224 | + | 0.555993i | ||||
\(238\) | 79.6190 | − | 57.9696i | 0.334534 | − | 0.243570i | ||||
\(239\) | −324.480 | −1.35766 | −0.678828 | − | 0.734297i | \(-0.737512\pi\) | ||||
−0.678828 | + | 0.734297i | \(0.737512\pi\) | |||||||
\(240\) | −51.9306 | + | 30.0535i | −0.216378 | + | 0.125223i | ||||
\(241\) | 199.017 | + | 114.903i | 0.825799 | + | 0.476775i | 0.852412 | − | 0.522871i | \(-0.175139\pi\) |
−0.0266134 | + | 0.999646i | \(0.508472\pi\) | |||||||
\(242\) | 12.0365 | + | 44.9208i | 0.0497376 | + | 0.185623i | ||||
\(243\) | −108.352 | − | 217.506i | −0.445892 | − | 0.895087i | ||||
\(244\) | −12.8377 | −0.0526137 | ||||||||
\(245\) | 210.273 | − | 125.739i | 0.858256 | − | 0.513222i | ||||
\(246\) | 34.7178 | + | 70.2581i | 0.141129 | + | 0.285602i | ||||
\(247\) | 76.9671 | − | 287.245i | 0.311607 | − | 1.16293i | ||||
\(248\) | −38.3745 | − | 143.216i | −0.154736 | − | 0.577482i | ||||
\(249\) | −55.0141 | − | 3.56138i | −0.220940 | − | 0.0143027i | ||||
\(250\) | −132.829 | + | 116.647i | −0.531316 | + | 0.466587i | ||||
\(251\) | −28.3486 | −0.112943 | −0.0564713 | − | 0.998404i | \(-0.517985\pi\) | ||||
−0.0564713 | + | 0.998404i | \(0.517985\pi\) | |||||||
\(252\) | −2.96837 | + | 125.965i | −0.0117792 | + | 0.499861i | ||||
\(253\) | 19.9396 | − | 19.9396i | 0.0788127 | − | 0.0788127i | ||||
\(254\) | −28.1408 | − | 48.7412i | −0.110790 | − | 0.191895i | ||||
\(255\) | 38.7720 | + | 144.105i | 0.152047 | + | 0.565119i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 47.9061 | − | 178.788i | 0.186405 | − | 0.695673i | −0.807920 | − | 0.589292i | \(-0.799407\pi\) |
0.994325 | − | 0.106382i | \(-0.0339265\pi\) | |||||||
\(258\) | 192.466 | + | 65.1609i | 0.745994 | + | 0.252562i | ||||
\(259\) | 19.1525 | + | 49.7437i | 0.0739480 | + | 0.192061i | ||||
\(260\) | 109.475 | − | 222.120i | 0.421059 | − | 0.854308i | ||||
\(261\) | −22.9224 | + | 176.304i | −0.0878253 | + | 0.675495i | ||||
\(262\) | −66.3785 | − | 247.728i | −0.253353 | − | 0.945526i | ||||
\(263\) | 148.547 | − | 39.8031i | 0.564818 | − | 0.151343i | 0.0348993 | − | 0.999391i | \(-0.488889\pi\) |
0.529919 | + | 0.848048i | \(0.322222\pi\) | |||||||
\(264\) | 58.4089 | − | 87.5675i | 0.221246 | − | 0.331695i | ||||
\(265\) | −355.421 | − | 175.175i | −1.34121 | − | 0.661037i | ||||
\(266\) | 92.4635 | + | 74.7209i | 0.347607 | + | 0.280906i | ||||
\(267\) | −298.718 | − | 101.133i | −1.11879 | − | 0.378776i | ||||
\(268\) | 148.280 | + | 39.7316i | 0.553285 | + | 0.148252i | ||||
\(269\) | −411.851 | − | 237.783i | −1.53105 | − | 0.883950i | −0.999314 | − | 0.0370376i | \(-0.988208\pi\) |
−0.531732 | − | 0.846912i | \(-0.678459\pi\) | |||||||
\(270\) | −176.578 | − | 72.5959i | −0.653993 | − | 0.268874i | ||||
\(271\) | 319.911 | − | 184.701i | 1.18048 | − | 0.681552i | 0.224356 | − | 0.974507i | \(-0.427972\pi\) |
0.956126 | + | 0.292955i | \(0.0946387\pi\) | |||||||
\(272\) | 28.1391 | + | 28.1391i | 0.103453 | + | 0.103453i | ||||
\(273\) | −278.293 | − | 439.299i | −1.01939 | − | 1.60915i | ||||
\(274\) | 179.828i | 0.656308i | ||||||||
\(275\) | 118.551 | − | 286.572i | 0.431094 | − | 1.04208i | ||||
\(276\) | −13.6106 | − | 0.881092i | −0.0493138 | − | 0.00319236i | ||||
\(277\) | −7.19180 | + | 1.92704i | −0.0259632 | + | 0.00695682i | −0.271777 | − | 0.962360i | \(-0.587611\pi\) |
0.245814 | + | 0.969317i | \(0.420945\pi\) | |||||||
\(278\) | −59.1583 | − | 15.8514i | −0.212800 | − | 0.0570195i | ||||
\(279\) | 286.602 | − | 374.754i | 1.02725 | − | 1.34320i | ||||
\(280\) | 63.3952 | + | 76.0332i | 0.226412 | + | 0.271547i | ||||
\(281\) | 250.182i | 0.890329i | 0.895449 | + | 0.445164i | \(0.146855\pi\) | ||||
−0.895449 | + | 0.445164i | \(0.853145\pi\) | |||||||
\(282\) | −97.8997 | + | 19.5553i | −0.347162 | + | 0.0693452i | ||||
\(283\) | −299.069 | + | 80.1352i | −1.05678 | + | 0.283163i | −0.745051 | − | 0.667008i | \(-0.767575\pi\) |
−0.311729 | + | 0.950171i | \(0.600908\pi\) | |||||||
\(284\) | 29.3260 | − | 50.7942i | 0.103261 | − | 0.178853i | ||||
\(285\) | −155.906 | + | 90.2266i | −0.547039 | + | 0.316584i | ||||
\(286\) | 434.431i | 1.51899i | ||||||||
\(287\) | 104.529 | − | 76.1066i | 0.364214 | − | 0.265180i | ||||
\(288\) | −50.4654 | + | 6.72651i | −0.175227 | + | 0.0233559i | ||||
\(289\) | −164.566 | + | 95.0120i | −0.569431 | + | 0.328761i | ||||
\(290\) | 77.6302 | + | 116.125i | 0.267690 | + | 0.400432i | ||||
\(291\) | −295.040 | − | 19.0996i | −1.01388 | − | 0.0656343i | ||||
\(292\) | 28.5466 | + | 7.64903i | 0.0977622 | + | 0.0261953i | ||||
\(293\) | −243.373 | + | 243.373i | −0.830625 | + | 0.830625i | −0.987602 | − | 0.156977i | \(-0.949825\pi\) |
0.156977 | + | 0.987602i | \(0.449825\pi\) | |||||||
\(294\) | 205.653 | − | 30.4118i | 0.699500 | − | 0.103441i | ||||
\(295\) | −11.2422 | − | 33.0940i | −0.0381091 | − | 0.112183i | ||||
\(296\) | −18.6523 | + | 10.7689i | −0.0630146 | + | 0.0363815i | ||||
\(297\) | 334.164 | − | 22.7123i | 1.12513 | − | 0.0764723i | ||||
\(298\) | −18.4106 | − | 68.7093i | −0.0617806 | − | 0.230568i | ||||
\(299\) | 48.7499 | − | 28.1458i | 0.163043 | − | 0.0941331i | ||||
\(300\) | −141.979 | + | 48.3941i | −0.473263 | + | 0.161314i | ||||
\(301\) | 52.1114 | − | 331.184i | 0.173128 | − | 1.10028i | ||||
\(302\) | −201.081 | + | 201.081i | −0.665832 | + | 0.665832i | ||||
\(303\) | −382.241 | + | 76.3522i | −1.26152 | + | 0.251988i | ||||
\(304\) | −24.0176 | + | 41.5997i | −0.0790053 | + | 0.136841i | ||||
\(305\) | −31.4791 | − | 6.25422i | −0.103210 | − | 0.0205056i | ||||
\(306\) | −16.3260 | + | 125.569i | −0.0533530 | + | 0.410356i | ||||
\(307\) | −93.3285 | + | 93.3285i | −0.304002 | + | 0.304002i | −0.842577 | − | 0.538576i | \(-0.818963\pi\) |
0.538576 | + | 0.842577i | \(0.318963\pi\) | |||||||
\(308\) | −158.727 | − | 70.4777i | −0.515347 | − | 0.228824i | ||||
\(309\) | 180.709 | − | 89.2967i | 0.584819 | − | 0.288986i | ||||
\(310\) | −24.3262 | − | 369.870i | −0.0784715 | − | 1.19313i | ||||
\(311\) | 256.340 | − | 443.994i | 0.824245 | − | 1.42763i | −0.0782503 | − | 0.996934i | \(-0.524933\pi\) |
0.902495 | − | 0.430700i | \(-0.141733\pi\) | |||||||
\(312\) | 157.868 | − | 138.671i | 0.505987 | − | 0.444459i | ||||
\(313\) | −102.373 | + | 382.062i | −0.327071 | + | 1.22064i | 0.585143 | + | 0.810930i | \(0.301038\pi\) |
−0.912214 | + | 0.409715i | \(0.865628\pi\) | |||||||
\(314\) | 409.387i | 1.30378i | ||||||||
\(315\) | −68.6455 | + | 307.429i | −0.217922 | + | 0.975966i | ||||
\(316\) | 273.942 | 0.866904 | ||||||||
\(317\) | −40.4015 | − | 10.8255i | −0.127449 | − | 0.0341500i | 0.194530 | − | 0.980896i | \(-0.437682\pi\) |
−0.321980 | + | 0.946747i | \(0.604348\pi\) | |||||||
\(318\) | −221.892 | − | 252.609i | −0.697774 | − | 0.794368i | ||||
\(319\) | −212.221 | − | 122.526i | −0.665269 | − | 0.384094i | ||||
\(320\) | −26.3671 | + | 30.0795i | −0.0823971 | + | 0.0939985i | ||||
\(321\) | 135.701 | + | 274.617i | 0.422745 | + | 0.855506i | ||||
\(322\) | 2.37486 | + | 22.3777i | 0.00737533 | + | 0.0694960i | ||||
\(323\) | 84.4792 | + | 84.4792i | 0.261546 | + | 0.261546i | ||||
\(324\) | −114.919 | − | 114.182i | −0.354689 | − | 0.352414i | ||||
\(325\) | 376.653 | − | 491.321i | 1.15893 | − | 1.51176i | ||||
\(326\) | 96.0581 | + | 55.4592i | 0.294657 | + | 0.170120i | ||||
\(327\) | −18.7649 | − | 93.9426i | −0.0573850 | − | 0.287286i | ||||
\(328\) | 36.9430 | + | 36.9430i | 0.112631 | + | 0.112631i | ||||
\(329\) | 59.1847 | + | 153.717i | 0.179893 | + | 0.467225i | ||||
\(330\) | 185.884 | − | 186.267i | 0.563283 | − | 0.564444i | ||||
\(331\) | 22.6830 | + | 39.2881i | 0.0685287 | + | 0.118695i | 0.898254 | − | 0.439477i | \(-0.144836\pi\) |
−0.829725 | + | 0.558172i | \(0.811503\pi\) | |||||||
\(332\) | −35.5005 | + | 9.51234i | −0.106929 | + | 0.0286516i | ||||
\(333\) | −63.3583 | − | 26.1245i | −0.190265 | − | 0.0784521i | ||||
\(334\) | 144.633 | + | 250.511i | 0.433032 | + | 0.750033i | ||||
\(335\) | 344.238 | + | 169.663i | 1.02758 | + | 0.506457i | ||||
\(336\) | 25.0550 | + | 80.1763i | 0.0745686 | + | 0.238620i | ||||
\(337\) | −13.0476 | − | 13.0476i | −0.0387170 | − | 0.0387170i | 0.687483 | − | 0.726200i | \(-0.258715\pi\) |
−0.726200 | + | 0.687483i | \(0.758715\pi\) | |||||||
\(338\) | −162.596 | + | 606.818i | −0.481055 | + | 1.79532i | ||||
\(339\) | −43.0210 | + | 664.565i | −0.126906 | + | 1.96037i | ||||
\(340\) | 55.2905 | + | 82.7078i | 0.162619 | + | 0.243258i | ||||
\(341\) | 325.139 | + | 563.157i | 0.953486 | + | 1.65149i | ||||
\(342\) | −151.507 | + | 20.1943i | −0.443004 | + | 0.0590477i | ||||
\(343\) | −106.981 | − | 325.890i | −0.311899 | − | 0.950115i | ||||
\(344\) | 135.465 | 0.393794 | ||||||||
\(345\) | −32.9450 | − | 8.79124i | −0.0954927 | − | 0.0254819i | ||||
\(346\) | −249.899 | − | 144.280i | −0.722253 | − | 0.416993i | ||||
\(347\) | −17.2244 | − | 64.2822i | −0.0496380 | − | 0.185251i | 0.936655 | − | 0.350252i | \(-0.113904\pi\) |
−0.986293 | + | 0.165001i | \(0.947237\pi\) | |||||||
\(348\) | 23.2167 | + | 116.229i | 0.0667146 | + | 0.333993i | ||||
\(349\) | 469.199 | 1.34441 | 0.672204 | − | 0.740366i | \(-0.265348\pi\) | ||||
0.672204 | + | 0.740366i | \(0.265348\pi\) | |||||||
\(350\) | 118.408 | + | 217.323i | 0.338309 | + | 0.620924i | ||||
\(351\) | 656.075 | + | 128.856i | 1.86916 | + | 0.367112i | ||||
\(352\) | 18.1622 | − | 67.7822i | 0.0515972 | − | 0.192563i | ||||
\(353\) | −21.1547 | − | 78.9503i | −0.0599282 | − | 0.223655i | 0.929467 | − | 0.368906i | \(-0.120268\pi\) |
−0.989395 | + | 0.145251i | \(0.953601\pi\) | |||||||
\(354\) | 1.91587 | − | 29.5952i | 0.00541206 | − | 0.0836024i | ||||
\(355\) | 96.6552 | − | 110.264i | 0.272268 | − | 0.310603i | ||||
\(356\) | −210.249 | −0.590586 | ||||||||
\(357\) | 208.746 | − | 8.58111i | 0.584722 | − | 0.0240367i | ||||
\(358\) | −82.5798 | + | 82.5798i | −0.230670 | + | 0.230670i | ||||
\(359\) | 128.468 | + | 222.513i | 0.357850 | + | 0.619815i | 0.987601 | − | 0.156982i | \(-0.0501765\pi\) |
−0.629751 | + | 0.776797i | \(0.716843\pi\) | |||||||
\(360\) | −127.022 | − | 8.09154i | −0.352838 | − | 0.0224765i | ||||
\(361\) | 108.394 | − | 187.744i | 0.300261 | − | 0.520068i | ||||
\(362\) | 93.6286 | − | 349.427i | 0.258643 | − | 0.965267i | ||||
\(363\) | −31.6358 | + | 93.4430i | −0.0871510 | + | 0.257419i | ||||
\(364\) | −269.646 | − | 217.904i | −0.740787 | − | 0.598639i | ||||
\(365\) | 66.2718 | + | 32.6631i | 0.181567 | + | 0.0894880i | ||||
\(366\) | −22.6556 | − | 15.1116i | −0.0619004 | − | 0.0412886i | ||||
\(367\) | 91.3678 | + | 340.989i | 0.248959 | + | 0.929126i | 0.971352 | + | 0.237644i | \(0.0763752\pi\) |
−0.722394 | + | 0.691482i | \(0.756958\pi\) | |||||||
\(368\) | −8.78291 | + | 2.35337i | −0.0238666 | + | 0.00639504i | ||||
\(369\) | −21.4339 | + | 164.856i | −0.0580865 | + | 0.446764i | ||||
\(370\) | −50.9832 | + | 17.3193i | −0.137792 | + | 0.0468088i | ||||
\(371\) | −348.676 | + | 431.469i | −0.939826 | + | 1.16299i | ||||
\(372\) | 100.861 | − | 297.913i | 0.271131 | − | 0.800841i | ||||
\(373\) | −134.772 | − | 36.1120i | −0.361318 | − | 0.0968150i | 0.0735926 | − | 0.997288i | \(-0.476554\pi\) |
−0.434911 | + | 0.900473i | \(0.643220\pi\) | |||||||
\(374\) | −151.150 | − | 87.2665i | −0.404144 | − | 0.233333i | ||||
\(375\) | −371.719 | + | 49.4973i | −0.991251 | + | 0.131993i | ||||
\(376\) | −57.6390 | + | 33.2779i | −0.153295 | + | 0.0885050i | ||||
\(377\) | −345.903 | − | 345.903i | −0.917514 | − | 0.917514i | ||||
\(378\) | −153.515 | + | 218.804i | −0.406124 | + | 0.578847i | ||||
\(379\) | 603.595i | 1.59260i | 0.604903 | + | 0.796299i | \(0.293212\pi\) | ||||
−0.604903 | + | 0.796299i | \(0.706788\pi\) | |||||||
\(380\) | −79.1592 | + | 90.3048i | −0.208314 | + | 0.237644i | ||||
\(381\) | 7.71272 | − | 119.142i | 0.0202434 | − | 0.312708i | ||||
\(382\) | 320.361 | − | 85.8405i | 0.838641 | − | 0.224713i | ||||
\(383\) | 540.952 | + | 144.948i | 1.41241 | + | 0.378454i | 0.882784 | − | 0.469779i | \(-0.155666\pi\) |
0.529624 | + | 0.848232i | \(0.322333\pi\) | |||||||
\(384\) | −30.4288 | + | 15.0363i | −0.0792416 | + | 0.0391569i | ||||
\(385\) | −354.875 | − | 250.144i | −0.921753 | − | 0.649725i | ||||
\(386\) | 88.2791i | 0.228702i | ||||||||
\(387\) | 262.955 | + | 341.550i | 0.679470 | + | 0.882558i | ||||
\(388\) | −190.389 | + | 51.0145i | −0.490692 | + | 0.131481i | ||||
\(389\) | 193.521 | − | 335.189i | 0.497484 | − | 0.861668i | −0.502512 | − | 0.864570i | \(-0.667591\pi\) |
0.999996 | + | 0.00290262i | \(0.000923934\pi\) | |||||||
\(390\) | 454.661 | − | 263.123i | 1.16580 | − | 0.674674i | ||||
\(391\) | 22.6152i | 0.0578393i | ||||||||
\(392\) | 123.360 | − | 63.1693i | 0.314693 | − | 0.161146i | ||||
\(393\) | 174.464 | − | 515.316i | 0.443929 | − | 1.31124i | ||||
\(394\) | 126.366 | − | 72.9575i | 0.320726 | − | 0.185171i | ||||
\(395\) | 671.725 | + | 133.457i | 1.70057 | + | 0.337866i | ||||
\(396\) | 206.156 | − | 85.7812i | 0.520595 | − | 0.216619i | ||||
\(397\) | 145.722 | + | 39.0460i | 0.367057 | + | 0.0983527i | 0.437633 | − | 0.899154i | \(-0.355817\pi\) |
−0.0705756 | + | 0.997506i | \(0.522484\pi\) | |||||||
\(398\) | 197.161 | − | 197.161i | 0.495378 | − | 0.495378i | ||||
\(399\) | 75.2203 | + | 240.706i | 0.188522 | + | 0.603272i | ||||
\(400\) | −79.3079 | + | 60.9118i | −0.198270 | + | 0.152280i | ||||
\(401\) | −13.0459 | + | 7.53207i | −0.0325335 | + | 0.0187832i | −0.516179 | − | 0.856481i | \(-0.672646\pi\) |
0.483645 | + | 0.875264i | \(0.339313\pi\) | |||||||
\(402\) | 214.911 | + | 244.661i | 0.534603 | + | 0.608610i | ||||
\(403\) | 335.975 | + | 1253.87i | 0.833684 | + | 3.11135i | ||||
\(404\) | −225.047 | + | 129.931i | −0.557047 | + | 0.321611i | ||||
\(405\) | −226.164 | − | 335.969i | −0.558429 | − | 0.829552i | ||||
\(406\) | 182.497 | − | 70.2658i | 0.449501 | − | 0.173069i | ||||
\(407\) | 66.7943 | − | 66.7943i | 0.164114 | − | 0.164114i | ||||
\(408\) | 16.5356 | + | 82.7820i | 0.0405284 | + | 0.202897i | ||||
\(409\) | 228.214 | − | 395.279i | 0.557981 | − | 0.966452i | −0.439684 | − | 0.898153i | \(-0.644909\pi\) |
0.997665 | − | 0.0682992i | \(-0.0217573\pi\) | |||||||
\(410\) | 72.5892 | + | 108.585i | 0.177047 | + | 0.264840i | ||||
\(411\) | −211.680 | + | 317.354i | −0.515037 | + | 0.772151i | ||||
\(412\) | 95.0201 | − | 95.0201i | 0.230631 | − | 0.230631i | ||||
\(413\) | −48.6586 | + | 5.16395i | −0.117818 | + | 0.0125035i | ||||
\(414\) | −22.9823 | − | 17.5763i | −0.0555129 | − | 0.0424548i | ||||
\(415\) | −91.6841 | + | 6.03001i | −0.220926 | + | 0.0145301i | ||||
\(416\) | 70.0412 | − | 121.315i | 0.168368 | − | 0.291623i | ||||
\(417\) | −85.7411 | − | 97.6105i | −0.205614 | − | 0.234078i | ||||
\(418\) | 54.5266 | − | 203.496i | 0.130446 | − | 0.486832i | ||||
\(419\) | − | 478.799i | − | 1.14272i | −0.820700 | − | 0.571359i | \(-0.806416\pi\) | ||
0.820700 | − | 0.571359i | \(-0.193584\pi\) | |||||||
\(420\) | 22.3770 | + | 208.804i | 0.0532785 | + | 0.497153i | ||||
\(421\) | −106.194 | −0.252243 | −0.126122 | − | 0.992015i | \(-0.540253\pi\) | ||||
−0.126122 | + | 0.992015i | \(0.540253\pi\) | |||||||
\(422\) | 9.27664 | + | 2.48567i | 0.0219826 | + | 0.00589021i | ||||
\(423\) | −195.789 | − | 80.7295i | −0.462857 | − | 0.190850i | ||||
\(424\) | −194.120 | − | 112.075i | −0.457830 | − | 0.264328i | ||||
\(425\) | 95.2832 | + | 229.742i | 0.224196 | + | 0.540568i | ||||
\(426\) | 111.544 | − | 55.1192i | 0.261841 | − | 0.129388i | ||||
\(427\) | −18.2340 | + | 41.0660i | −0.0427027 | + | 0.0961732i | ||||
\(428\) | 144.399 | + | 144.399i | 0.337380 | + | 0.337380i | ||||
\(429\) | −511.379 | + | 766.667i | −1.19203 | + | 1.78710i | ||||
\(430\) | 332.170 | + | 65.9951i | 0.772489 | + | 0.153477i | ||||
\(431\) | −65.6870 | − | 37.9244i | −0.152406 | − | 0.0879916i | 0.421858 | − | 0.906662i | \(-0.361378\pi\) |
−0.574264 | + | 0.818670i | \(0.694712\pi\) | |||||||
\(432\) | −96.9772 | − | 47.5333i | −0.224484 | − | 0.110031i | ||||
\(433\) | −93.6962 | − | 93.6962i | −0.216388 | − | 0.216388i | 0.590586 | − | 0.806975i | \(-0.298897\pi\) |
−0.806975 | + | 0.590586i | \(0.798897\pi\) | |||||||
\(434\) | −512.630 | − | 80.6616i | −1.18117 | − | 0.185856i | ||||
\(435\) | 0.305026 | + | 296.314i | 0.000701209 | + | 0.681181i | ||||
\(436\) | −31.9328 | − | 55.3092i | −0.0732403 | − | 0.126856i | ||||
\(437\) | −26.3681 | + | 7.06530i | −0.0603388 | + | 0.0161677i | ||||
\(438\) | 41.3740 | + | 47.1015i | 0.0944612 | + | 0.107538i | ||||
\(439\) | −77.2676 | − | 133.831i | −0.176008 | − | 0.304855i | 0.764502 | − | 0.644622i | \(-0.222985\pi\) |
−0.940510 | + | 0.339767i | \(0.889652\pi\) | |||||||
\(440\) | 77.5568 | − | 157.359i | 0.176265 | − | 0.357634i | ||||
\(441\) | 398.727 | + | 188.409i | 0.904142 | + | 0.427232i | ||||
\(442\) | −246.362 | − | 246.362i | −0.557380 | − | 0.557380i | ||||
\(443\) | −110.767 | + | 413.388i | −0.250038 | + | 0.933156i | 0.720745 | + | 0.693200i | \(0.243800\pi\) |
−0.970784 | + | 0.239956i | \(0.922867\pi\) | |||||||
\(444\) | −45.5932 | − | 2.95151i | −0.102687 | − | 0.00664754i | ||||
\(445\) | −515.545 | − | 102.428i | −1.15853 | − | 0.230175i | ||||
\(446\) | −120.317 | − | 208.395i | −0.269768 | − | 0.467252i | ||||
\(447\) | 48.3890 | − | 142.927i | 0.108253 | − | 0.319747i | ||||
\(448\) | 32.9617 | + | 45.2717i | 0.0735753 | + | 0.101053i | ||||
\(449\) | 145.264 | 0.323527 | 0.161763 | − | 0.986830i | \(-0.448282\pi\) | ||||
0.161763 | + | 0.986830i | \(0.448282\pi\) | |||||||
\(450\) | −307.525 | − | 81.7228i | −0.683388 | − | 0.181606i | ||||
\(451\) | −198.440 | − | 114.570i | −0.440001 | − | 0.254034i | ||||
\(452\) | 114.908 | + | 428.843i | 0.254221 | + | 0.948767i | ||||
\(453\) | −591.558 | + | 118.163i | −1.30587 | + | 0.260845i | ||||
\(454\) | −501.525 | −1.10468 | ||||||||
\(455\) | −555.035 | − | 665.682i | −1.21986 | − | 1.46304i | ||||
\(456\) | −91.3533 | + | 45.1419i | −0.200336 | + | 0.0989953i | ||||
\(457\) | 212.374 | − | 792.590i | 0.464713 | − | 1.73433i | −0.193127 | − | 0.981174i | \(-0.561863\pi\) |
0.657839 | − | 0.753158i | \(-0.271471\pi\) | |||||||
\(458\) | −29.3652 | − | 109.592i | −0.0641162 | − | 0.239285i | ||||
\(459\) | −176.622 | + | 202.382i | −0.384797 | + | 0.440919i | ||||
\(460\) | −22.6828 | + | 1.49184i | −0.0493105 | + | 0.00324313i | ||||
\(461\) | 204.599 | 0.443817 | 0.221908 | − | 0.975068i | \(-0.428771\pi\) | ||||
0.221908 | + | 0.975068i | \(0.428771\pi\) | |||||||
\(462\) | −197.154 | − | 311.217i | −0.426741 | − | 0.673631i | ||||
\(463\) | 151.528 | − | 151.528i | 0.327275 | − | 0.327275i | −0.524274 | − | 0.851549i | \(-0.675663\pi\) |
0.851549 | + | 0.524274i | \(0.175663\pi\) | |||||||
\(464\) | 39.5085 | + | 68.4307i | 0.0851476 | + | 0.147480i | ||||
\(465\) | 392.453 | − | 681.367i | 0.843985 | − | 1.46531i | ||||
\(466\) | −62.7893 | + | 108.754i | −0.134741 | + | 0.233378i | ||||
\(467\) | −59.9564 | + | 223.760i | −0.128386 | + | 0.479144i | −0.999938 | − | 0.0111598i | \(-0.996448\pi\) |
0.871551 | + | 0.490304i | \(0.163114\pi\) | |||||||
\(468\) | 441.832 | − | 58.8916i | 0.944086 | − | 0.125837i | ||||
\(469\) | 337.705 | − | 417.894i | 0.720053 | − | 0.891031i | ||||
\(470\) | −157.547 | + | 53.5196i | −0.335207 | + | 0.113871i | ||||
\(471\) | −481.899 | + | 722.471i | −1.02314 | + | 1.53391i | ||||
\(472\) | −5.11723 | − | 19.0978i | −0.0108416 | − | 0.0404614i | ||||
\(473\) | −573.883 | + | 153.771i | −1.21328 | + | 0.325098i | ||||
\(474\) | 483.441 | + | 322.463i | 1.01992 | + | 0.680302i | ||||
\(475\) | −238.098 | + | 182.870i | −0.501260 | + | 0.384989i | ||||
\(476\) | 129.980 | − | 50.0454i | 0.273067 | − | 0.105137i | ||||
\(477\) | −94.2342 | − | 706.989i | −0.197556 | − | 1.48216i | ||||
\(478\) | −443.248 | − | 118.768i | −0.927296 | − | 0.248468i | ||||
\(479\) | −311.301 | − | 179.730i | −0.649898 | − | 0.375219i | 0.138519 | − | 0.990360i | \(-0.455766\pi\) |
−0.788417 | + | 0.615141i | \(0.789099\pi\) | |||||||
\(480\) | −81.9389 | + | 22.0459i | −0.170706 | + | 0.0459289i | ||||
\(481\) | 163.304 | − | 94.2836i | 0.339509 | − | 0.196016i | ||||
\(482\) | 229.806 | + | 229.806i | 0.476775 | + | 0.476775i | ||||
\(483\) | −22.1503 | + | 42.2868i | −0.0458598 | + | 0.0875503i | ||||
\(484\) | 65.7687i | 0.135886i | ||||||||
\(485\) | −491.700 | + | 32.3388i | −1.01381 | + | 0.0666779i | ||||
\(486\) | −68.3986 | − | 336.778i | −0.140738 | − | 0.692959i | ||||
\(487\) | 441.541 | − | 118.310i | 0.906654 | − | 0.242937i | 0.224782 | − | 0.974409i | \(-0.427833\pi\) |
0.681872 | + | 0.731472i | \(0.261166\pi\) | |||||||
\(488\) | −17.5367 | − | 4.69894i | −0.0359358 | − | 0.00962898i | ||||
\(489\) | 104.237 | + | 210.944i | 0.213164 | + | 0.431379i | ||||
\(490\) | 333.262 | − | 94.7981i | 0.680126 | − | 0.193465i | ||||
\(491\) | − | 587.015i | − | 1.19555i | −0.801664 | − | 0.597775i | \(-0.796052\pi\) | ||
0.801664 | − | 0.597775i | \(-0.203948\pi\) | |||||||
\(492\) | 21.7091 | + | 108.682i | 0.0441242 | + | 0.220898i | ||||
\(493\) | 189.832 | − | 50.8653i | 0.385055 | − | 0.103175i | ||||
\(494\) | 210.278 | − | 364.212i | 0.425664 | − | 0.737271i | ||||
\(495\) | 547.299 | − | 109.908i | 1.10565 | − | 0.222037i | ||||
\(496\) | − | 209.682i | − | 0.422746i | ||||||
\(497\) | −120.830 | − | 165.955i | −0.243118 | − | 0.333913i | ||||
\(498\) | −73.8472 | − | 25.0015i | −0.148287 | − | 0.0502038i | ||||
\(499\) | 505.419 | − | 291.804i | 1.01286 | − | 0.584778i | 0.100836 | − | 0.994903i | \(-0.467848\pi\) |
0.912029 | + | 0.410125i | \(0.134515\pi\) | |||||||
\(500\) | −224.143 | + | 110.724i | −0.448287 | + | 0.221447i | ||||
\(501\) | −39.6404 | + | 612.342i | −0.0791225 | + | 1.22224i | ||||
\(502\) | −38.7249 | − | 10.3763i | −0.0771413 | − | 0.0206699i | ||||
\(503\) | 390.083 | − | 390.083i | 0.775514 | − | 0.775514i | −0.203551 | − | 0.979064i | \(-0.565248\pi\) |
0.979064 | + | 0.203551i | \(0.0652482\pi\) | |||||||
\(504\) | −50.1613 | + | 170.985i | −0.0995263 | + | 0.339256i | ||||
\(505\) | −615.130 | + | 208.963i | −1.21808 | + | 0.413788i | ||||
\(506\) | 34.5364 | − | 19.9396i | 0.0682538 | − | 0.0394064i | ||||
\(507\) | −1001.24 | + | 879.493i | −1.97484 | + | 1.73470i | ||||
\(508\) | −20.6005 | − | 76.8820i | −0.0405521 | − | 0.151342i | ||||
\(509\) | 235.694 | − | 136.078i | 0.463053 | − | 0.267344i | −0.250274 | − | 0.968175i | \(-0.580521\pi\) |
0.713327 | + | 0.700831i | \(0.247187\pi\) | |||||||
\(510\) | 0.217248 | + | 211.043i | 0.000425977 | + | 0.413810i | ||||
\(511\) | 65.0141 | − | 80.4518i | 0.127229 | − | 0.157440i | ||||
\(512\) | −16.0000 | + | 16.0000i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −291.145 | − | 142.705i | −0.567535 | − | 0.278176i | ||||
\(514\) | 130.882 | − | 226.694i | 0.254634 | − | 0.441039i | ||||
\(515\) | 279.288 | − | 186.705i | 0.542306 | − | 0.362534i | ||||
\(516\) | 239.063 | + | 159.459i | 0.463301 | + | 0.309029i | ||||
\(517\) | 206.406 | − | 206.406i | 0.399238 | − | 0.399238i | ||||
\(518\) | 7.95537 | + | 74.9615i | 0.0153578 | + | 0.144713i | ||||
\(519\) | −271.178 | − | 548.781i | −0.522501 | − | 1.05738i | ||||
\(520\) | 230.848 | − | 263.351i | 0.443938 | − | 0.506444i | ||||
\(521\) | 35.4235 | − | 61.3553i | 0.0679913 | − | 0.117764i | −0.830026 | − | 0.557725i | \(-0.811674\pi\) |
0.898017 | + | 0.439961i | \(0.145008\pi\) | |||||||
\(522\) | −95.8445 | + | 232.446i | −0.183610 | + | 0.445299i | ||||
\(523\) | −96.3401 | + | 359.546i | −0.184207 | + | 0.687468i | 0.810592 | + | 0.585611i | \(0.199145\pi\) |
−0.994799 | + | 0.101858i | \(0.967521\pi\) | |||||||
\(524\) | − | 362.699i | − | 0.692173i | ||||||
\(525\) | −46.8541 | + | 522.905i | −0.0892460 | + | 0.996010i | ||||
\(526\) | 217.488 | 0.413476 | ||||||||
\(527\) | −503.745 | − | 134.978i | −0.955872 | − | 0.256125i | ||||
\(528\) | 111.840 | − | 98.2403i | 0.211818 | − | 0.186061i | ||||
\(529\) | 453.652 | + | 261.916i | 0.857566 | + | 0.495116i | ||||
\(530\) | −421.396 | − | 369.386i | −0.795086 | − | 0.696955i | ||||
\(531\) | 38.2183 | − | 49.9733i | 0.0719742 | − | 0.0941117i | ||||
\(532\) | 98.9578 | + | 135.915i | 0.186011 | + | 0.255479i | ||||
\(533\) | −323.442 | − | 323.442i | −0.606832 | − | 0.606832i | ||||
\(534\) | −371.039 | − | 247.489i | −0.694829 | − | 0.463462i | ||||
\(535\) | 283.729 | + | 424.424i | 0.530334 | + | 0.793315i | ||||
\(536\) | 188.012 | + | 108.549i | 0.350769 | + | 0.202516i | ||||
\(537\) | −242.940 | + | 48.5270i | −0.452403 | + | 0.0903669i | ||||
\(538\) | −475.565 | − | 475.565i | −0.883950 | − | 0.883950i | ||||
\(539\) | −450.894 | + | 407.640i | −0.836539 | + | 0.756290i | ||||
\(540\) | −214.638 | − | 163.800i | −0.397478 | − | 0.303333i | ||||
\(541\) | −3.41709 | − | 5.91858i | −0.00631626 | − | 0.0109401i | 0.862850 | − | 0.505460i | \(-0.168677\pi\) |
−0.869166 | + | 0.494520i | \(0.835344\pi\) | |||||||
\(542\) | 504.611 | − | 135.210i | 0.931017 | − | 0.249465i | ||||
\(543\) | 576.551 | − | 506.442i | 1.06179 | − | 0.932675i | ||||
\(544\) | 28.1391 | + | 48.7383i | 0.0517263 | + | 0.0895925i | ||||
\(545\) | −51.3563 | − | 151.179i | −0.0942318 | − | 0.277393i | ||||
\(546\) | −219.361 | − | 701.956i | −0.401760 | − | 1.28563i | ||||
\(547\) | −153.475 | − | 153.475i | −0.280575 | − | 0.280575i | 0.552763 | − | 0.833338i | \(-0.313573\pi\) |
−0.833338 | + | 0.552763i | \(0.813573\pi\) | |||||||
\(548\) | −65.8217 | + | 245.650i | −0.120113 | + | 0.448266i | ||||
\(549\) | −22.1934 | − | 53.3368i | −0.0404251 | − | 0.0971526i | ||||
\(550\) | 266.836 | − | 348.072i | 0.485156 | − | 0.632858i | ||||
\(551\) | 118.612 | + | 205.443i | 0.215268 | + | 0.372854i | ||||
\(552\) | −18.2699 | − | 6.18543i | −0.0330977 | − | 0.0112055i | ||||
\(553\) | 389.092 | − | 876.297i | 0.703602 | − | 1.58462i | ||||
\(554\) | −10.5295 | −0.0190064 | ||||||||
\(555\) | −110.360 | − | 29.4492i | −0.198847 | − | 0.0530615i | ||||
\(556\) | −75.0097 | − | 43.3069i | −0.134910 | − | 0.0778900i | ||||
\(557\) | 175.018 | + | 653.178i | 0.314216 | + | 1.17267i | 0.924717 | + | 0.380655i | \(0.124301\pi\) |
−0.610501 | + | 0.792016i | \(0.709032\pi\) | |||||||
\(558\) | 528.675 | − | 407.020i | 0.947446 | − | 0.729426i | ||||
\(559\) | −1186.02 | −2.12168 | ||||||||
\(560\) | 58.7694 | + | 127.068i | 0.104945 | + | 0.226906i | ||||
\(561\) | −164.020 | − | 331.927i | −0.292371 | − | 0.591669i | ||||
\(562\) | −91.5731 | + | 341.755i | −0.162941 | + | 0.608106i | ||||
\(563\) | −212.137 | − | 791.706i | −0.376797 | − | 1.40623i | −0.850701 | − | 0.525650i | \(-0.823822\pi\) |
0.473903 | − | 0.880577i | \(-0.342845\pi\) | |||||||
\(564\) | −140.891 | − | 9.12068i | −0.249807 | − | 0.0161714i | ||||
\(565\) | 72.8419 | + | 1107.53i | 0.128924 | + | 1.96024i | ||||
\(566\) | −437.867 | −0.773616 | ||||||||
\(567\) | −528.476 | + | 205.431i | −0.932057 | + | 0.362312i | ||||
\(568\) | 58.6521 | − | 58.6521i | 0.103261 | − | 0.103261i | ||||
\(569\) | 300.221 | + | 519.999i | 0.527630 | + | 0.913882i | 0.999481 | + | 0.0322036i | \(0.0102525\pi\) |
−0.471852 | + | 0.881678i | \(0.656414\pi\) | |||||||
\(570\) | −245.997 | + | 66.1862i | −0.431574 | + | 0.116116i | ||||
\(571\) | 184.989 | − | 320.410i | 0.323973 | − | 0.561139i | −0.657331 | − | 0.753602i | \(-0.728314\pi\) |
0.981304 | + | 0.192464i | \(0.0616478\pi\) | |||||||
\(572\) | −159.013 | + | 593.444i | −0.277995 | + | 1.03749i | ||||
\(573\) | 666.405 | + | 225.616i | 1.16301 | + | 0.393746i | ||||
\(574\) | 170.647 | − | 65.7031i | 0.297294 | − | 0.114465i | ||||
\(575\) | −56.3468 | − | 7.39240i | −0.0979944 | − | 0.0128563i | ||||
\(576\) | −71.3991 | − | 9.28303i | −0.123957 | − | 0.0161164i | ||||
\(577\) | 168.644 | + | 629.390i | 0.292278 | + | 1.09080i | 0.943355 | + | 0.331785i | \(0.107651\pi\) |
−0.651077 | + | 0.759012i | \(0.725682\pi\) | |||||||
\(578\) | −259.577 | + | 69.5536i | −0.449096 | + | 0.120335i | ||||
\(579\) | −103.915 | + | 155.791i | −0.179474 | + | 0.269070i | ||||
\(580\) | 63.5400 | + | 187.045i | 0.109552 | + | 0.322491i | ||||
\(581\) | −19.9946 | + | 127.072i | −0.0344140 | + | 0.218712i | ||||
\(582\) | −396.041 | − | 134.082i | −0.680482 | − | 0.230382i | ||||
\(583\) | 949.588 | + | 254.441i | 1.62880 | + | 0.436434i | ||||
\(584\) | 36.1956 | + | 20.8975i | 0.0619787 | + | 0.0357834i | ||||
\(585\) | 1112.10 | + | 70.8427i | 1.90102 | + | 0.121099i | ||||
\(586\) | −421.534 | + | 243.373i | −0.719342 | + | 0.415312i | ||||
\(587\) | 332.823 | + | 332.823i | 0.566990 | + | 0.566990i | 0.931284 | − | 0.364294i | \(-0.118690\pi\) |
−0.364294 | + | 0.931284i | \(0.618690\pi\) | |||||||
\(588\) | 292.059 | + | 33.7309i | 0.496698 | + | 0.0573655i | ||||
\(589\) | − | 629.508i | − | 1.06877i | ||||||
\(590\) | −3.24389 | − | 49.3221i | −0.00549811 | − | 0.0835968i | ||||
\(591\) | 308.886 | + | 19.9959i | 0.522649 | + | 0.0338340i | ||||
\(592\) | −29.4212 | + | 7.88340i | −0.0496980 | + | 0.0133165i | ||||
\(593\) | 811.972 | + | 217.567i | 1.36926 | + | 0.366893i | 0.867209 | − | 0.497944i | \(-0.165912\pi\) |
0.502053 | + | 0.864837i | \(0.332578\pi\) | |||||||
\(594\) | 464.790 | + | 91.2871i | 0.782475 | + | 0.153682i | ||||
\(595\) | 343.101 | − | 59.3921i | 0.576640 | − | 0.0998186i | ||||
\(596\) | − | 100.597i | − | 0.168788i | ||||||
\(597\) | 580.023 | − | 115.859i | 0.971563 | − | 0.194069i | ||||
\(598\) | 76.8957 | − | 20.6041i | 0.128588 | − | 0.0344551i | ||||
\(599\) | 114.855 | − | 198.935i | 0.191745 | − | 0.332112i | −0.754083 | − | 0.656779i | \(-0.771919\pi\) |
0.945829 | + | 0.324666i | \(0.105252\pi\) | |||||||
\(600\) | −211.660 | + | 14.1396i | −0.352767 | + | 0.0235660i | ||||
\(601\) | 500.222i | 0.832317i | 0.909292 | + | 0.416158i | \(0.136624\pi\) | ||||
−0.909292 | + | 0.416158i | \(0.863376\pi\) | |||||||
\(602\) | 192.407 | − | 433.332i | 0.319614 | − | 0.719820i | ||||
\(603\) | 91.2693 | + | 684.745i | 0.151359 | + | 1.13556i | ||||
\(604\) | −348.283 | + | 201.081i | −0.576628 | + | 0.332916i | ||||
\(605\) | −32.0408 | + | 161.270i | −0.0529600 | + | 0.266561i | ||||
\(606\) | −550.098 | − | 35.6110i | −0.907753 | − | 0.0587640i | ||||
\(607\) | −487.286 | − | 130.568i | −0.802778 | − | 0.215104i | −0.165974 | − | 0.986130i | \(-0.553077\pi\) |
−0.636803 | + | 0.771026i | \(0.719744\pi\) | |||||||
\(608\) | −48.0352 | + | 48.0352i | −0.0790053 | + | 0.0790053i | ||||
\(609\) | 404.776 | + | 90.8195i | 0.664656 | + | 0.149129i | ||||
\(610\) | −40.7120 | − | 20.0656i | −0.0667410 | − | 0.0328944i | ||||
\(611\) | 504.638 | − | 291.353i | 0.825922 | − | 0.476846i | ||||
\(612\) | −68.2632 | + | 165.555i | −0.111541 | + | 0.270514i | ||||
\(613\) | 31.2143 | + | 116.493i | 0.0509206 | + | 0.190038i | 0.986701 | − | 0.162545i | \(-0.0519701\pi\) |
−0.935781 | + | 0.352583i | \(0.885303\pi\) | |||||||
\(614\) | −161.650 | + | 93.3285i | −0.263273 | + | 0.152001i | ||||
\(615\) | 0.285219 | + | 277.072i | 0.000463770 | + | 0.450524i | ||||
\(616\) | −191.028 | − | 154.372i | −0.310111 | − | 0.250604i | ||||
\(617\) | 177.691 | − | 177.691i | 0.287993 | − | 0.287993i | −0.548293 | − | 0.836286i | \(-0.684722\pi\) |
0.836286 | + | 0.548293i | \(0.184722\pi\) | |||||||
\(618\) | 279.538 | − | 55.8374i | 0.452327 | − | 0.0903517i | ||||
\(619\) | 160.858 | − | 278.615i | 0.259868 | − | 0.450105i | −0.706338 | − | 0.707875i | \(-0.749654\pi\) |
0.966206 | + | 0.257769i | \(0.0829875\pi\) | |||||||
\(620\) | 102.152 | − | 514.156i | 0.164761 | − | 0.829284i | ||||
\(621\) | −19.8689 | − | 58.0710i | −0.0319949 | − | 0.0935120i | ||||
\(622\) | 512.680 | − | 512.680i | 0.824245 | − | 0.824245i | ||||
\(623\) | −298.626 | + | 672.553i | −0.479336 | + | 1.07954i | ||||
\(624\) | 266.409 | − | 131.645i | 0.426937 | − | 0.210969i | ||||
\(625\) | −603.558 | + | 162.305i | −0.965692 | + | 0.259688i | ||||
\(626\) | −279.689 | + | 484.435i | −0.446787 | + | 0.773858i | ||||
\(627\) | 335.766 | − | 294.937i | 0.535512 | − | 0.470394i | ||||
\(628\) | −149.846 | + | 559.234i | −0.238609 | + | 0.890499i | ||||
\(629\) | 75.7569i | 0.120440i | ||||||||
\(630\) | −206.299 | + | 394.830i | −0.327458 | + | 0.626715i | ||||
\(631\) | 967.459 | 1.53322 | 0.766608 | − | 0.642116i | \(-0.221943\pi\) | ||||
0.766608 | + | 0.642116i | \(0.221943\pi\) | |||||||
\(632\) | 374.211 | + | 100.270i | 0.592106 | + | 0.158654i | ||||
\(633\) | 13.4451 | + | 15.3064i | 0.0212403 | + | 0.0241807i | ||||
\(634\) | −51.2270 | − | 29.5759i | −0.0807997 | − | 0.0466497i | ||||
\(635\) | −13.0589 | − | 198.556i | −0.0205652 | − | 0.312687i | ||||
\(636\) | −210.649 | − | 426.289i | −0.331209 | − | 0.670265i | ||||
\(637\) | −1080.03 | + | 553.057i | −1.69550 | + | 0.868222i | ||||
\(638\) | −245.052 | − | 245.052i | −0.384094 | − | 0.384094i | ||||
\(639\) | 261.731 | + | 34.0293i | 0.409595 | + | 0.0532540i | ||||
\(640\) | −47.0280 | + | 31.4384i | −0.0734812 | + | 0.0491225i | ||||
\(641\) | −1072.34 | − | 619.114i | −1.67291 | − | 0.965856i | −0.965996 | − | 0.258558i | \(-0.916753\pi\) |
−0.706916 | − | 0.707298i | \(-0.749914\pi\) | |||||||
\(642\) | 84.8541 | + | 424.804i | 0.132172 | + | 0.661689i | ||||
\(643\) | −193.264 | − | 193.264i | −0.300566 | − | 0.300566i | 0.540669 | − | 0.841235i | \(-0.318171\pi\) |
−0.841235 | + | 0.540669i | \(0.818171\pi\) | |||||||
\(644\) | −4.94670 | + | 31.4378i | −0.00768120 | + | 0.0488164i | ||||
\(645\) | 508.517 | + | 507.471i | 0.788398 | + | 0.786776i | ||||
\(646\) | 84.4792 | + | 146.322i | 0.130773 | + | 0.226505i | ||||
\(647\) | −795.387 | + | 213.123i | −1.22935 | + | 0.329402i | −0.814325 | − | 0.580409i | \(-0.802893\pi\) |
−0.415021 | + | 0.909812i | \(0.636226\pi\) | |||||||
\(648\) | −115.189 | − | 198.039i | −0.177761 | − | 0.305616i | ||||
\(649\) | 43.3572 | + | 75.0968i | 0.0668061 | + | 0.115712i | ||||
\(650\) | 694.353 | − | 533.293i | 1.06824 | − | 0.820450i | ||||
\(651\) | −809.720 | − | 745.777i | −1.24381 | − | 1.14559i | ||||
\(652\) | 110.918 | + | 110.918i | 0.170120 | + | 0.170120i | ||||
\(653\) | 236.615 | − | 883.061i | 0.362351 | − | 1.35231i | −0.508625 | − | 0.860988i | \(-0.669846\pi\) |
0.870976 | − | 0.491325i | \(-0.163487\pi\) | |||||||
\(654\) | 8.75203 | − | 135.196i | 0.0133823 | − | 0.206722i | ||||
\(655\) | 176.697 | − | 889.364i | 0.269767 | − | 1.35781i | ||||
\(656\) | 36.9430 | + | 63.9871i | 0.0563155 | + | 0.0975413i | ||||
\(657\) | 17.5709 | + | 131.825i | 0.0267442 | + | 0.200647i | ||||
\(658\) | 24.5835 | + | 231.644i | 0.0373609 | + | 0.352043i | ||||
\(659\) | −909.184 | −1.37964 | −0.689821 | − | 0.723980i | \(-0.742311\pi\) | ||||
−0.689821 | + | 0.723980i | \(0.742311\pi\) | |||||||
\(660\) | 322.100 | − | 186.407i | 0.488030 | − | 0.282435i | ||||
\(661\) | −804.144 | − | 464.273i | −1.21656 | − | 0.702379i | −0.252377 | − | 0.967629i | \(-0.581212\pi\) |
−0.964180 | + | 0.265250i | \(0.914546\pi\) | |||||||
\(662\) | 16.6051 | + | 61.9711i | 0.0250832 | + | 0.0936119i | ||||
\(663\) | −144.772 | − | 724.769i | −0.218358 | − | 1.09317i | ||||
\(664\) | −51.9764 | −0.0782777 | ||||||||
\(665\) | 176.438 | + | 381.482i | 0.265320 | + | 0.573658i | ||||
\(666\) | −76.9869 | − | 58.8776i | −0.115596 | − | 0.0884047i | ||||
\(667\) | −11.6223 | + | 43.3749i | −0.0174247 | + | 0.0650299i | ||||
\(668\) | 105.878 | + | 395.143i | 0.158501 | + | 0.591532i | ||||
\(669\) | 32.9760 | − | 509.394i | 0.0492914 | − | 0.761426i | ||||
\(670\) | 408.137 | + | 357.764i | 0.609160 | + | 0.533977i | ||||
\(671\) | 79.6262 | 0.118668 | ||||||||
\(672\) | 4.87925 | + | 118.694i | 0.00726079 | + | 0.176628i | ||||
\(673\) | 47.0329 | − | 47.0329i | 0.0698855 | − | 0.0698855i | −0.671300 | − | 0.741186i | \(-0.734264\pi\) |
0.741186 | + | 0.671300i | \(0.234264\pi\) | |||||||
\(674\) | −13.0476 | − | 22.5992i | −0.0193585 | − | 0.0335299i | ||||
\(675\) | −446.510 | − | 506.216i | −0.661496 | − | 0.749949i | ||||
\(676\) | −444.222 | + | 769.415i | −0.657133 | + | 1.13819i | ||||
\(677\) | 177.154 | − | 661.147i | 0.261675 | − | 0.976583i | −0.702580 | − | 0.711605i | \(-0.747969\pi\) |
0.964254 | − | 0.264978i | \(-0.0853647\pi\) | |||||||
\(678\) | −302.015 | + | 892.066i | −0.445451 | + | 1.31573i | ||||
\(679\) | −107.230 | + | 681.482i | −0.157924 | + | 1.00366i | ||||
\(680\) | 45.2551 | + | 133.219i | 0.0665516 | + | 0.195910i | ||||
\(681\) | −885.072 | − | 590.357i | −1.29967 | − | 0.866898i | ||||
\(682\) | 238.018 | + | 888.296i | 0.349000 | + | 1.30249i | ||||
\(683\) | −51.8605 | + | 13.8960i | −0.0759304 | + | 0.0203455i | −0.296584 | − | 0.955007i | \(-0.595848\pi\) |
0.220654 | + | 0.975352i | \(0.429181\pi\) | |||||||
\(684\) | −214.354 | − | 27.8695i | −0.313384 | − | 0.0407449i | ||||
\(685\) | −281.074 | + | 570.285i | −0.410327 | + | 0.832533i | ||||
\(686\) | −26.8553 | − | 484.331i | −0.0391476 | − | 0.706022i | ||||
\(687\) | 77.1813 | − | 227.971i | 0.112345 | − | 0.331835i | ||||
\(688\) | 185.049 | + | 49.5837i | 0.268966 | + | 0.0720693i | ||||
\(689\) | 1699.55 | + | 981.235i | 2.46669 | + | 1.42414i | ||||
\(690\) | −41.7859 | − | 24.0678i | −0.0605592 | − | 0.0348808i | ||||
\(691\) | −340.261 | + | 196.450i | −0.492418 | + | 0.284298i | −0.725577 | − | 0.688141i | \(-0.758427\pi\) |
0.233159 | + | 0.972439i | \(0.425094\pi\) | |||||||
\(692\) | −288.559 | − | 288.559i | −0.416993 | − | 0.416993i | ||||
\(693\) | 18.4113 | − | 781.299i | 0.0265675 | − | 1.12742i | ||||
\(694\) | − | 94.1157i | − | 0.135613i | ||||||
\(695\) | −162.831 | − | 142.734i | −0.234290 | − | 0.205373i | ||||
\(696\) | −10.8283 | + | 167.270i | −0.0155580 | + | 0.240331i | ||||
\(697\) | 177.505 | − | 47.5624i | 0.254670 | − | 0.0682387i | ||||
\(698\) | 640.937 | + | 171.739i | 0.918248 | + | 0.246044i | ||||
\(699\) | −238.825 | + | 118.014i | −0.341667 | + | 0.168833i | ||||
\(700\) | 82.2029 | + | 340.210i | 0.117433 | + | 0.486014i | ||||
\(701\) | − | 122.711i | − | 0.175052i | −0.996162 | − | 0.0875259i | \(-0.972104\pi\) | ||
0.996162 | − | 0.0875259i | \(-0.0278960\pi\) | |||||||
\(702\) | 849.051 | + | 416.161i | 1.20947 | + | 0.592822i | ||||
\(703\) | −88.3285 | + | 23.6675i | −0.125645 | + | 0.0336665i | ||||
\(704\) | 49.6201 | − | 85.9444i | 0.0704830 | − | 0.122080i | ||||
\(705\) | −341.032 | − | 91.0031i | −0.483733 | − | 0.129082i | ||||
\(706\) | − | 115.591i | − | 0.163727i | ||||||
\(707\) | 95.9843 | + | 904.437i | 0.135763 | + | 1.27926i | ||||
\(708\) | 13.4497 | − | 39.7266i | 0.0189968 | − | 0.0561110i | ||||
\(709\) | −869.912 | + | 502.244i | −1.22696 | + | 0.708384i | −0.966392 | − | 0.257072i | \(-0.917242\pi\) |
−0.260565 | + | 0.965456i | \(0.583909\pi\) | |||||||
\(710\) | 172.393 | − | 115.245i | 0.242807 | − | 0.162317i | ||||
\(711\) | 473.580 | + | 1138.14i | 0.666076 | + | 1.60076i | ||||
\(712\) | −287.205 | − | 76.9564i | −0.403378 | − | 0.108085i | ||||
\(713\) | 84.2600 | − | 84.2600i | 0.118177 | − | 0.118177i | ||||
\(714\) | 288.293 | + | 64.6843i | 0.403772 | + | 0.0905942i | ||||
\(715\) | −679.022 | + | 1377.70i | −0.949681 | + | 1.92685i | ||||
\(716\) | −143.032 | + | 82.5798i | −0.199766 | + | 0.115335i | ||||
\(717\) | −642.422 | − | 731.354i | −0.895986 | − | 1.02002i | ||||
\(718\) | 94.0453 | + | 350.982i | 0.130982 | + | 0.488832i | ||||
\(719\) | 477.102 | − | 275.455i | 0.663563 | − | 0.383109i | −0.130070 | − | 0.991505i | \(-0.541520\pi\) |
0.793633 | + | 0.608396i | \(0.208187\pi\) | |||||||
\(720\) | −170.553 | − | 57.5464i | −0.236879 | − | 0.0799256i | ||||
\(721\) | −168.993 | − | 438.916i | −0.234387 | − | 0.608760i | ||||
\(722\) | 216.789 | − | 216.789i | 0.300261 | − | 0.300261i | ||||
\(723\) | 135.042 | + | 676.061i | 0.186781 | + | 0.935078i | ||||
\(724\) | 255.798 | − | 443.055i | 0.353312 | − | 0.611955i | ||||
\(725\) | 64.6815 | + | 489.602i | 0.0892159 | + | 0.675313i | ||||
\(726\) | −77.4178 | + | 116.066i | −0.106636 | + | 0.159871i | ||||
\(727\) | −240.311 | + | 240.311i | −0.330551 | + | 0.330551i | −0.852796 | − | 0.522244i | \(-0.825095\pi\) |
0.522244 | + | 0.852796i | \(0.325095\pi\) | |||||||
\(728\) | −288.585 | − | 396.360i | −0.396408 | − | 0.544451i | ||||
\(729\) | 275.722 | − | 674.847i | 0.378220 | − | 0.925716i | ||||
\(730\) | 78.5735 | + | 68.8758i | 0.107635 | + | 0.0943504i | ||||
\(731\) | 238.242 | − | 412.646i | 0.325912 | − | 0.564496i | ||||
\(732\) | −25.4168 | − | 28.9354i | −0.0347224 | − | 0.0395292i | ||||
\(733\) | 215.282 | − | 803.442i | 0.293699 | − | 1.09610i | −0.648545 | − | 0.761176i | \(-0.724622\pi\) |
0.942245 | − | 0.334925i | \(-0.108711\pi\) | |||||||
\(734\) | 499.243i | 0.680168i | ||||||||
\(735\) | 699.716 | + | 224.994i | 0.951995 | + | 0.306114i | ||||
\(736\) | −12.8591 | −0.0174716 | ||||||||
\(737\) | −919.711 | − | 246.436i | −1.24791 | − | 0.334377i | ||||
\(738\) | −89.6207 | + | 217.352i | −0.121437 | + | 0.294515i | ||||
\(739\) | −520.019 | − | 300.233i | −0.703679 | − | 0.406269i | 0.105037 | − | 0.994468i | \(-0.466504\pi\) |
−0.808716 | + | 0.588199i | \(0.799837\pi\) | |||||||
\(740\) | −75.9836 | + | 4.99740i | −0.102681 | + | 0.00675324i | ||||
\(741\) | 799.813 | − | 395.224i | 1.07937 | − | 0.533366i | ||||
\(742\) | −634.228 | + | 461.774i | −0.854755 | + | 0.622337i | ||||
\(743\) | 883.804 | + | 883.804i | 1.18951 | + | 1.18951i | 0.977204 | + | 0.212303i | \(0.0680965\pi\) |
0.212303 | + | 0.977204i | \(0.431903\pi\) | |||||||
\(744\) | 246.822 | − | 370.039i | 0.331750 | − | 0.497364i | ||||
\(745\) | 49.0085 | − | 246.672i | 0.0657832 | − | 0.331104i | ||||
\(746\) | −170.884 | − | 98.6598i | −0.229067 | − | 0.132252i | ||||
\(747\) | −100.893 | − | 131.049i | −0.135064 | − | 0.175434i | ||||
\(748\) | −174.533 | − | 174.533i | −0.233333 | − | 0.233333i | ||||
\(749\) | 667.006 | − | 256.813i | 0.890528 | − | 0.342875i | ||||
\(750\) | −525.895 | − | 68.4440i | −0.701193 | − | 0.0912587i | ||||
\(751\) | −273.083 | − | 472.994i | −0.363626 | − | 0.629819i | 0.624928 | − | 0.780682i | \(-0.285128\pi\) |
−0.988555 | + | 0.150863i | \(0.951795\pi\) | |||||||
\(752\) | −90.9169 | + | 24.3611i | −0.120900 | + | 0.0323951i | ||||
\(753\) | −56.1260 | − | 63.8957i | −0.0745366 | − | 0.0848549i | ||||
\(754\) | −345.903 | − | 599.121i | −0.458757 | − | 0.794591i | ||||
\(755\) | −951.977 | + | 323.392i | −1.26090 | + | 0.428333i | ||||
\(756\) | −289.793 | + | 242.702i | −0.383324 | + | 0.321034i | ||||
\(757\) | 844.895 | + | 844.895i | 1.11611 | + | 1.11611i | 0.992307 | + | 0.123803i | \(0.0395089\pi\) |
0.123803 | + | 0.992307i | \(0.460491\pi\) | |||||||
\(758\) | −220.931 | + | 824.526i | −0.291466 | + | 1.08776i | ||||
\(759\) | 84.4199 | + | 5.46498i | 0.111225 | + | 0.00720024i | ||||
\(760\) | −141.187 | + | 94.3844i | −0.185773 | + | 0.124190i | ||||
\(761\) | −240.512 | − | 416.578i | −0.316047 | − | 0.547409i | 0.663613 | − | 0.748076i | \(-0.269022\pi\) |
−0.979659 | + | 0.200667i | \(0.935689\pi\) | |||||||
\(762\) | 54.1447 | − | 159.928i | 0.0710560 | − | 0.209879i | ||||
\(763\) | −222.281 | + | 23.5898i | −0.291325 | + | 0.0309172i | ||||
\(764\) | 469.041 | 0.613928 | ||||||||
\(765\) | −248.040 | + | 372.696i | −0.324236 | + | 0.487185i | ||||
\(766\) | 685.900 | + | 396.005i | 0.895431 | + | 0.516977i | ||||
\(767\) | 44.8022 | + | 167.204i | 0.0584122 | + | 0.217997i | ||||
\(768\) | −47.0701 | + | 9.40220i | −0.0612893 | + | 0.0122424i | ||||
\(769\) | 466.831 | 0.607063 | 0.303531 | − | 0.952821i | \(-0.401834\pi\) | ||||
0.303531 | + | 0.952821i | \(0.401834\pi\) | |||||||
\(770\) | −393.209 | − | 471.596i | −0.510661 | − | 0.612463i | ||||
\(771\) | 497.822 | − | 245.997i | 0.645684 | − | 0.319062i | ||||
\(772\) | −32.3124 | + | 120.591i | −0.0418554 | + | 0.156207i | ||||
\(773\) | −69.4001 | − | 259.005i | −0.0897802 | − | 0.335064i | 0.906396 | − | 0.422429i | \(-0.138822\pi\) |
−0.996176 | + | 0.0873642i | \(0.972156\pi\) | |||||||
\(774\) | 234.187 | + | 562.814i | 0.302567 | + | 0.727150i | ||||
\(775\) | 500.967 | − | 1210.98i | 0.646409 | − | 1.56256i | ||||
\(776\) | −278.748 | −0.359212 | ||||||||
\(777\) | −74.1996 | + | 141.654i | −0.0954950 | + | 0.182308i | ||||
\(778\) | 387.043 | − | 387.043i | 0.497484 | − | 0.497484i | ||||
\(779\) | 110.910 | + | 192.102i | 0.142375 | + | 0.246601i | ||||
\(780\) | 717.387 | − | 193.015i | 0.919728 | − | 0.247455i | ||||
\(781\) | −181.895 | + | 315.051i | −0.232900 | + | 0.403395i | ||||
\(782\) | −8.27773 | + | 30.8929i | −0.0105853 | + | 0.0395050i | ||||
\(783\) | −442.760 | + | 297.391i | −0.565466 | + | 0.379809i | ||||
\(784\) | 191.634 | − | 41.1381i | 0.244431 | − | 0.0524720i | ||||
\(785\) | −639.878 | + | 1298.28i | −0.815131 | + | 1.65386i | ||||
\(786\) | 426.941 | − | 640.077i | 0.543182 | − | 0.814347i | ||||
\(787\) | 38.6353 | + | 144.189i | 0.0490919 | + | 0.183213i | 0.986118 | − | 0.166046i | \(-0.0530999\pi\) |
−0.937026 | + | 0.349259i | \(0.886433\pi\) | |||||||
\(788\) | 199.324 | − | 53.4086i | 0.252949 | − | 0.0677774i | ||||
\(789\) | 383.815 | + | 256.010i | 0.486457 | + | 0.324475i | ||||
\(790\) | 868.744 | + | 428.174i | 1.09968 | + | 0.541993i | ||||
\(791\) | 1535.01 | + | 241.532i | 1.94060 | + | 0.305350i | ||||
\(792\) | 313.012 | − | 41.7212i | 0.395217 | − | 0.0526783i | ||||
\(793\) | 153.536 | + | 41.1400i | 0.193615 | + | 0.0518789i | ||||
\(794\) | 184.768 | + | 106.676i | 0.232705 | + | 0.134352i | ||||
\(795\) | −308.849 | − | 1147.91i | −0.388490 | − | 1.44392i | ||||
\(796\) | 341.492 | − | 197.161i | 0.429010 | − | 0.247689i | ||||
\(797\) | 324.186 | + | 324.186i | 0.406758 | + | 0.406758i | 0.880606 | − | 0.473848i | \(-0.157136\pi\) |
−0.473848 | + | 0.880606i | \(0.657136\pi\) | |||||||
\(798\) | 14.6485 | + | 356.342i | 0.0183565 | + | 0.446544i | ||||
\(799\) | 234.102i | 0.292994i | ||||||||
\(800\) | −130.632 | + | 54.1784i | −0.163290 | + | 0.0677230i | ||||
\(801\) | −363.470 | − | 873.517i | −0.453770 | − | 1.09053i | ||||
\(802\) | −20.5780 | + | 5.51386i | −0.0256583 | + | 0.00687513i | ||||
\(803\) | −177.060 | − | 47.4431i | −0.220498 | − | 0.0590824i | ||||
\(804\) | 204.021 | + | 412.876i | 0.253758 | + | 0.513528i | ||||
\(805\) | −27.4453 | + | 74.6778i | −0.0340936 | + | 0.0927675i | ||||
\(806\) | 1835.80i | 2.27767i | ||||||||
\(807\) | −279.460 | − | 1399.06i | −0.346295 | − | 1.73365i | ||||
\(808\) | −354.978 | + | 95.1160i | −0.439329 | + | 0.117718i | ||||
\(809\) | −52.6954 | + | 91.2712i | −0.0651365 | + | 0.112820i | −0.896755 | − | 0.442528i | \(-0.854082\pi\) |
0.831618 | + | 0.555348i | \(0.187415\pi\) | |||||||
\(810\) | −185.973 | − | 541.723i | −0.229596 | − | 0.668794i | ||||
\(811\) | 514.088i | 0.633894i | 0.948443 | + | 0.316947i | \(0.102658\pi\) | ||||
−0.948443 | + | 0.316947i | \(0.897342\pi\) | |||||||
\(812\) | 275.015 | − | 29.1863i | 0.338688 | − | 0.0359437i | ||||
\(813\) | 1049.68 | + | 355.376i | 1.29112 | + | 0.437117i | ||||
\(814\) | 115.691 | − | 66.7943i | 0.142127 | − | 0.0820569i | ||||
\(815\) | 217.943 | + | 326.016i | 0.267415 | + | 0.400020i | ||||
\(816\) | −7.71226 | + | 119.135i | −0.00945130 | + | 0.145998i | ||||
\(817\) | 555.554 | + | 148.860i | 0.679992 | + | 0.182203i | ||||
\(818\) | 456.429 | − | 456.429i | 0.557981 | − | 0.557981i | ||||
\(819\) | 439.170 | − | 1497.00i | 0.536227 | − | 1.82784i | ||||
\(820\) | 59.4140 | + | 174.899i | 0.0724561 | + | 0.213291i | ||||
\(821\) | −162.347 | + | 93.7312i | −0.197743 | + | 0.114167i | −0.595602 | − | 0.803279i | \(-0.703087\pi\) |
0.397859 | + | 0.917446i | \(0.369753\pi\) | |||||||
\(822\) | −405.320 | + | 356.033i | −0.493090 | + | 0.433130i | ||||
\(823\) | 0.441956 | + | 1.64940i | 0.000537006 | + | 0.00200413i | 0.966194 | − | 0.257817i | \(-0.0830031\pi\) |
−0.965657 | + | 0.259821i | \(0.916336\pi\) | |||||||
\(824\) | 164.580 | − | 95.0201i | 0.199733 | − | 0.115316i | ||||
\(825\) | 880.625 | − | 300.164i | 1.06742 | − | 0.363836i | ||||
\(826\) | −68.3591 | − | 10.7562i | −0.0827592 | − | 0.0130220i | ||||
\(827\) | 788.573 | − | 788.573i | 0.953534 | − | 0.953534i | −0.0454329 | − | 0.998967i | \(-0.514467\pi\) |
0.998967 | + | 0.0454329i | \(0.0144667\pi\) | |||||||
\(828\) | −24.9611 | − | 32.4218i | −0.0301462 | − | 0.0391567i | ||||
\(829\) | −90.1710 | + | 156.181i | −0.108771 | + | 0.188397i | −0.915273 | − | 0.402835i | \(-0.868025\pi\) |
0.806502 | + | 0.591232i | \(0.201358\pi\) | |||||||
\(830\) | −127.450 | − | 25.3216i | −0.153554 | − | 0.0305079i | ||||
\(831\) | −18.5821 | − | 12.3946i | −0.0223611 | − | 0.0149152i | ||||
\(832\) | 140.082 | − | 140.082i | 0.168368 | − | 0.168368i | ||||
\(833\) | 24.5291 | − | 486.867i | 0.0294467 | − | 0.584475i | ||||
\(834\) | −81.3966 | − | 164.722i | −0.0975979 | − | 0.197508i | ||||
\(835\) | 67.1178 | + | 1020.50i | 0.0803806 | + | 1.22216i | ||||
\(836\) | 148.969 | − | 258.023i | 0.178193 | − | 0.308639i | ||||
\(837\) | 1412.10 | − | 95.9765i | 1.68709 | − | 0.114667i | ||||
\(838\) | 175.253 | − | 654.052i | 0.209132 | − | 0.780491i | ||||
\(839\) | 891.089i | 1.06208i | 0.847345 | + | 0.531042i | \(0.178200\pi\) | ||||
−0.847345 | + | 0.531042i | \(0.821800\pi\) | |||||||
\(840\) | −45.8602 | + | 293.423i | −0.0545955 | + | 0.349313i | ||||
\(841\) | −450.770 | −0.535993 | ||||||||
\(842\) | −145.064 | − | 38.8698i | −0.172285 | − | 0.0461637i | ||||
\(843\) | −563.893 | + | 495.324i | −0.668912 | + | 0.587573i | ||||
\(844\) | 11.7623 | + | 6.79097i | 0.0139364 | + | 0.00804618i | ||||
\(845\) | −1464.10 | + | 1670.25i | −1.73267 | + | 1.97662i | ||||
\(846\) | −237.903 | − | 181.942i | −0.281209 | − | 0.215062i | ||||
\(847\) | 210.384 | + | 93.4143i | 0.248387 | + | 0.110288i | ||||
\(848\) | −224.150 | − | 224.150i | −0.264328 | − | 0.264328i | ||||
\(849\) | −772.730 | − | 515.423i | −0.910165 | − | 0.607095i | ||||
\(850\) | 46.0680 | + | 348.709i | 0.0541977 | + | 0.410246i | ||||
\(851\) | −14.9907 | − | 8.65490i | −0.0176154 | − | 0.0101703i | ||||
\(852\) | 172.548 | − | 34.4662i | 0.202521 | − | 0.0404532i | ||||
\(853\) | 636.757 | + | 636.757i | 0.746491 | + | 0.746491i | 0.973818 | − | 0.227327i | \(-0.0729988\pi\) |
−0.227327 | + | 0.973818i | \(0.572999\pi\) | |||||||
\(854\) | −39.9394 | + | 49.4230i | −0.0467674 | + | 0.0578724i | ||||
\(855\) | −512.035 | − | 172.766i | −0.598872 | − | 0.202066i | ||||
\(856\) | 144.399 | + | 250.106i | 0.168690 | + | 0.292180i | ||||
\(857\) | 921.327 | − | 246.869i | 1.07506 | − | 0.288062i | 0.322490 | − | 0.946573i | \(-0.395480\pi\) |
0.752571 | + | 0.658511i | \(0.228814\pi\) | |||||||
\(858\) | −979.176 | + | 860.109i | −1.14123 | + | 1.00246i | ||||
\(859\) | −106.929 | − | 185.207i | −0.124481 | − | 0.215608i | 0.797049 | − | 0.603915i | \(-0.206393\pi\) |
−0.921530 | + | 0.388307i | \(0.873060\pi\) | |||||||
\(860\) | 429.597 | + | 211.734i | 0.499531 | + | 0.246202i | ||||
\(861\) | 378.491 | + | 84.9220i | 0.439595 | + | 0.0986319i | ||||
\(862\) | −75.8488 | − | 75.8488i | −0.0879916 | − | 0.0879916i | ||||
\(863\) | 341.506 | − | 1274.52i | 0.395719 | − | 1.47684i | −0.424832 | − | 0.905272i | \(-0.639667\pi\) |
0.820551 | − | 0.571573i | \(-0.193666\pi\) | |||||||
\(864\) | −115.075 | − | 100.428i | −0.133189 | − | 0.116236i | ||||
\(865\) | −566.989 | − | 848.146i | −0.655479 | − | 0.980516i | ||||
\(866\) | −93.6962 | − | 162.287i | −0.108194 | − | 0.187398i | ||||
\(867\) | −539.965 | − | 182.809i | −0.622797 | − | 0.210853i | ||||
\(868\) | −670.741 | − | 297.821i | −0.772743 | − | 0.343112i | ||||
\(869\) | −1699.12 | −1.95526 | ||||||||
\(870\) | −108.042 | + | 404.883i | −0.124186 | + | 0.465383i | ||||
\(871\) | −1646.07 | − | 950.362i | −1.88987 | − | 1.09112i | ||||
\(872\) | −23.3764 | − | 87.2420i | −0.0268078 | − | 0.100048i | ||||
\(873\) | −541.085 | − | 702.812i | −0.619800 | − | 0.805054i | ||||
\(874\) | −38.6055 | −0.0441711 | ||||||||
\(875\) | 35.8260 | + | 874.266i | 0.0409440 | + | 0.999161i | ||||
\(876\) | 39.2776 | + | 79.4858i | 0.0448374 | + | 0.0907372i | ||||
\(877\) | −65.7718 | + | 245.464i | −0.0749964 | + | 0.279890i | −0.993232 | − | 0.116143i | \(-0.962947\pi\) |
0.918236 | + | 0.396033i | \(0.129614\pi\) | |||||||
\(878\) | −56.5638 | − | 211.099i | −0.0644235 | − | 0.240432i | ||||
\(879\) | −1030.39 | − | 66.7028i | −1.17223 | − | 0.0758849i | ||||
\(880\) | 163.542 | − | 186.568i | 0.185843 | − | 0.212010i | ||||
\(881\) | −1325.86 | −1.50494 | −0.752472 | − | 0.658624i | \(-0.771139\pi\) | ||||
−0.752472 | + | 0.658624i | \(0.771139\pi\) | |||||||
\(882\) | 475.708 | + | 403.316i | 0.539352 | + | 0.457274i | ||||
\(883\) | −84.2819 | + | 84.2819i | −0.0954495 | + | 0.0954495i | −0.753219 | − | 0.657770i | \(-0.771500\pi\) |
0.657770 | + | 0.753219i | \(0.271500\pi\) | |||||||
\(884\) | −246.362 | − | 426.712i | −0.278690 | − | 0.482706i | ||||
\(885\) | 52.3335 | − | 90.8602i | 0.0591339 | − | 0.102667i | ||||
\(886\) | −302.621 | + | 524.155i | −0.341559 | + | 0.591597i | ||||
\(887\) | −43.1375 | + | 160.992i | −0.0486331 | + | 0.181501i | −0.985970 | − | 0.166924i | \(-0.946617\pi\) |
0.937337 | + | 0.348425i | \(0.113283\pi\) | |||||||
\(888\) | −61.2012 | − | 20.7201i | −0.0689202 | − | 0.0233335i | ||||
\(889\) | −275.193 | − | 43.3013i | −0.309554 | − | 0.0487079i | ||||
\(890\) | −666.757 | − | 328.622i | −0.749165 | − | 0.369238i | ||||
\(891\) | 712.788 | + | 708.215i | 0.799986 | + | 0.794855i | ||||
\(892\) | −88.0779 | − | 328.711i | −0.0987421 | − | 0.368510i | ||||
\(893\) | −272.951 | + | 73.1369i | −0.305656 | + | 0.0819003i | ||||
\(894\) | 118.416 | − | 177.530i | 0.132456 | − | 0.198580i | ||||
\(895\) | −390.957 | + | 132.810i | −0.436823 | + | 0.148391i | ||||
\(896\) | 28.4560 | + | 73.9071i | 0.0317589 | + | 0.0824856i | ||||
\(897\) | 159.956 | + | 54.1544i | 0.178324 | + | 0.0603727i | ||||
\(898\) | 198.434 | + | 53.1702i | 0.220973 | + | 0.0592095i | ||||
\(899\) | −896.794 | − | 517.764i | −0.997546 | − | 0.575933i | ||||
\(900\) | −390.174 | − | 224.197i | −0.433526 | − | 0.249108i | ||||
\(901\) | −682.794 | + | 394.211i | −0.757818 | + | 0.437527i | ||||
\(902\) | −229.139 | − | 229.139i | −0.254034 | − | 0.254034i | ||||
\(903\) | 849.638 | − | 538.240i | 0.940906 | − | 0.596058i | ||||
\(904\) | 627.869i | 0.694546i | ||||||||
\(905\) | 843.081 | − | 961.786i | 0.931581 | − | 1.06275i | ||||
\(906\) | −851.334 | − | 55.1117i | −0.939662 | − | 0.0608297i | ||||
\(907\) | 1149.85 | − | 308.102i | 1.26775 | − | 0.339694i | 0.438584 | − | 0.898690i | \(-0.355480\pi\) |
0.829170 | + | 0.558996i | \(0.188813\pi\) | |||||||
\(908\) | −685.096 | − | 183.571i | −0.754512 | − | 0.202171i | ||||
\(909\) | −928.874 | − | 710.379i | −1.02186 | − | 0.781495i | ||||
\(910\) | −514.535 | − | 1112.50i | −0.565423 | − | 1.22252i | ||||
\(911\) | 259.080i | 0.284391i | 0.989839 | + | 0.142196i | \(0.0454162\pi\) | ||||
−0.989839 | + | 0.142196i | \(0.954584\pi\) | |||||||
\(912\) | −141.314 | + | 28.2273i | −0.154950 | + | 0.0309510i | ||||
\(913\) | 220.192 | − | 59.0004i | 0.241175 | − | 0.0646225i | ||||
\(914\) | 580.216 | − | 1004.96i | 0.634810 | − | 1.09952i | ||||
\(915\) | −48.2274 | − | 83.3340i | −0.0527075 | − | 0.0910754i | ||||
\(916\) | − | 160.454i | − | 0.175169i | ||||||
\(917\) | −1160.22 | − | 515.158i | −1.26523 | − | 0.561786i | ||||
\(918\) | −315.347 | + | 211.810i | −0.343515 | + | 0.230730i | ||||
\(919\) | 1025.06 | − | 591.821i | 1.11541 | − | 0.643984i | 0.175187 | − | 0.984535i | \(-0.443947\pi\) |
0.940226 | + | 0.340551i | \(0.110614\pi\) | |||||||
\(920\) | −31.5314 | − | 6.26461i | −0.0342732 | − | 0.00680935i | ||||
\(921\) | −395.132 | − | 25.5791i | −0.429025 | − | 0.0277732i | ||||
\(922\) | 279.488 | + | 74.8886i | 0.303132 | + | 0.0812241i | ||||
\(923\) | −513.508 | + | 513.508i | −0.556347 | + | 0.556347i | ||||
\(924\) | −155.404 | − | 497.294i | −0.168186 | − | 0.538197i | ||||
\(925\) | −188.752 | − | 24.7633i | −0.204056 | − | 0.0267711i | ||||
\(926\) | 262.455 | − | 151.528i | 0.283428 | − | 0.163637i | ||||
\(927\) | 559.045 | + | 230.511i | 0.603069 | + | 0.248664i | ||||
\(928\) | 28.9222 | + | 107.939i | 0.0311662 | + | 0.116314i | ||||
\(929\) | 108.028 | − | 62.3703i | 0.116285 | − | 0.0671370i | −0.440730 | − | 0.897640i | \(-0.645280\pi\) |
0.557014 | + | 0.830503i | \(0.311947\pi\) | |||||||
\(930\) | 785.498 | − | 787.117i | 0.844622 | − | 0.846363i | ||||
\(931\) | 575.324 | − | 123.505i | 0.617964 | − | 0.132658i | ||||
\(932\) | −125.579 | + | 125.579i | −0.134741 | + | 0.134741i | ||||
\(933\) | 1508.25 | − | 301.270i | 1.61656 | − | 0.322905i | ||||
\(934\) | −163.804 | + | 283.717i | −0.175379 | + | 0.303765i | ||||
\(935\) | −342.940 | − | 512.995i | −0.366780 | − | 0.548658i | ||||
\(936\) | 625.110 | + | 81.2744i | 0.667852 | + | 0.0868316i | ||||
\(937\) | 770.881 | − | 770.881i | 0.822712 | − | 0.822712i | −0.163784 | − | 0.986496i | \(-0.552370\pi\) |
0.986496 | + | 0.163784i | \(0.0523700\pi\) | |||||||
\(938\) | 614.273 | − | 447.245i | 0.654876 | − | 0.476807i | ||||
\(939\) | −1063.82 | + | 525.684i | −1.13293 | + | 0.559834i | ||||
\(940\) | −234.803 | + | 15.4429i | −0.249790 | + | 0.0164286i | ||||
\(941\) | −248.010 | + | 429.565i | −0.263560 | + | 0.456499i | −0.967185 | − | 0.254072i | \(-0.918230\pi\) |
0.703626 | + | 0.710571i | \(0.251563\pi\) | |||||||
\(942\) | −922.730 | + | 810.526i | −0.979543 | + | 0.860431i | ||||
\(943\) | −10.8676 | + | 40.5584i | −0.0115245 | + | 0.0430099i | ||||
\(944\) | − | 27.9611i | − | 0.0296198i | ||||||
\(945\) | −828.831 | + | 453.942i | −0.877070 | + | 0.480362i | ||||
\(946\) | −840.223 | −0.888185 | ||||||||
\(947\) | 207.426 | + | 55.5796i | 0.219035 | + | 0.0586902i | 0.366667 | − | 0.930352i | \(-0.380499\pi\) |
−0.147633 | + | 0.989042i | \(0.547165\pi\) | |||||||
\(948\) | 542.364 | + | 617.445i | 0.572114 | + | 0.651313i | ||||
\(949\) | −316.898 | − | 182.961i | −0.333928 | − | 0.192794i | ||||
\(950\) | −392.183 | + | 162.654i | −0.412825 | + | 0.171215i | ||||
\(951\) | −55.5889 | − | 112.495i | −0.0584531 | − | 0.118291i | ||||
\(952\) | 195.874 | − | 20.7873i | 0.205750 | − | 0.0218354i | ||||
\(953\) | −750.792 | − | 750.792i | −0.787820 | − | 0.787820i | 0.193317 | − | 0.981136i | \(-0.438076\pi\) |
−0.981136 | + | 0.193317i | \(0.938076\pi\) | |||||||
\(954\) | 130.050 | − | 1000.26i | 0.136320 | − | 1.04849i | ||||
\(955\) | 1150.12 | + | 228.505i | 1.20432 | + | 0.239272i | ||||
\(956\) | −562.016 | − | 324.480i | −0.587882 | − | 0.339414i | ||||
\(957\) | −144.002 | − | 720.914i | −0.150472 | − | 0.753306i | ||||
\(958\) | −359.460 | − | 359.460i | −0.375219 | − | 0.375219i | ||||
\(959\) | 692.307 | + | 559.462i | 0.721905 | + | 0.583380i | ||||
\(960\) | −120.000 | + | 0.123528i | −0.125000 | + | 0.000128675i | ||||
\(961\) | 893.457 | + | 1547.51i | 0.929716 | + | 1.61032i | ||||
\(962\) | 257.587 | − | 69.0204i | 0.267762 | − | 0.0717467i | ||||
\(963\) | −350.300 | + | 849.562i | −0.363759 | + | 0.882203i | ||||
\(964\) | 229.806 | + | 398.035i | 0.238388 | + | 0.412899i | ||||
\(965\) | −137.981 | + | 279.957i | −0.142986 | + | 0.290111i | ||||
\(966\) | −45.7359 | + | 49.6573i | −0.0473456 | + | 0.0514051i | ||||
\(967\) | −626.487 | − | 626.487i | −0.647866 | − | 0.647866i | 0.304611 | − | 0.952477i | \(-0.401474\pi\) |
−0.952477 | + | 0.304611i | \(0.901474\pi\) | |||||||
\(968\) | −24.0730 | + | 89.8417i | −0.0248688 | + | 0.0928117i | ||||
\(969\) | −23.1538 | + | 357.666i | −0.0238945 | + | 0.369109i | ||||
\(970\) | −683.511 | − | 135.799i | −0.704650 | − | 0.139999i | ||||
\(971\) | −330.876 | − | 573.095i | −0.340758 | − | 0.590211i | 0.643815 | − | 0.765181i | \(-0.277350\pi\) |
−0.984574 | + | 0.174970i | \(0.944017\pi\) | |||||||
\(972\) | 29.8352 | − | 485.083i | 0.0306946 | − | 0.499057i | ||||
\(973\) | −245.072 | + | 178.434i | −0.251872 | + | 0.183385i | ||||
\(974\) | 646.460 | 0.663717 | ||||||||
\(975\) | 1853.12 | − | 123.795i | 1.90063 | − | 0.126969i | ||||
\(976\) | −22.2356 | − | 12.8377i | −0.0227824 | − | 0.0131534i | ||||
\(977\) | −213.699 | − | 797.536i | −0.218730 | − | 0.816312i | −0.984820 | − | 0.173578i | \(-0.944467\pi\) |
0.766090 | − | 0.642733i | \(-0.222200\pi\) | |||||||
\(978\) | 65.1798 | + | 326.309i | 0.0666460 | + | 0.333649i | ||||
\(979\) | 1304.07 | 1.33204 | ||||||||
\(980\) | 489.942 | − | 7.51435i | 0.499941 | − | 0.00766771i | ||||
\(981\) | 174.588 | − | 228.287i | 0.177969 | − | 0.232708i | ||||
\(982\) | 214.862 | − | 801.878i | 0.218801 | − | 0.816576i | ||||
\(983\) | −85.7983 | − | 320.203i | −0.0872821 | − | 0.325741i | 0.908455 | − | 0.417984i | \(-0.137263\pi\) |
−0.995737 | + | 0.0922427i | \(0.970596\pi\) | |||||||
\(984\) | −10.1252 | + | 156.408i | −0.0102898 | + | 0.158952i | ||||
\(985\) | 514.775 | − | 33.8565i | 0.522614 | − | 0.0343720i | ||||
\(986\) | 277.933 | 0.281880 | ||||||||
\(987\) | −229.290 | + | 437.735i | −0.232310 | + | 0.443500i | ||||
\(988\) | 420.556 | − | 420.556i | 0.425664 | − | 0.425664i | ||||
\(989\) | 54.4361 | + | 94.2861i | 0.0550415 | + | 0.0953348i | ||||
\(990\) | 787.853 | + | 50.1878i | 0.795811 | + | 0.0506948i | ||||
\(991\) | −1.13038 | + | 1.95788i | −0.00114065 | + | 0.00197566i | −0.866595 | − | 0.499012i | \(-0.833696\pi\) |
0.865455 | + | 0.500988i | \(0.167030\pi\) | |||||||
\(992\) | 76.7490 | − | 286.431i | 0.0773680 | − | 0.288741i | ||||
\(993\) | −43.6436 | + | 128.910i | −0.0439512 | + | 0.129819i | ||||
\(994\) | −104.313 | − | 270.925i | −0.104942 | − | 0.272561i | ||||
\(995\) | 933.415 | − | 317.086i | 0.938105 | − | 0.318679i | ||||
\(996\) | −91.7259 | − | 61.1826i | −0.0920943 | − | 0.0614283i | ||||
\(997\) | −261.733 | − | 976.803i | −0.262521 | − | 0.979742i | −0.963750 | − | 0.266806i | \(-0.914032\pi\) |
0.701229 | − | 0.712936i | \(-0.252635\pi\) | |||||||
\(998\) | 797.224 | − | 213.615i | 0.798821 | − | 0.214044i | ||||
\(999\) | −66.5572 | − | 194.528i | −0.0666239 | − | 0.194723i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 210.3.w.b.17.11 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.a.17.9 | ✓ | 64 | ||
5.3 | odd | 4 | 210.3.w.a.143.4 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.b.47.16 | yes | 64 | |
15.8 | even | 4 | inner | 210.3.w.b.143.16 | yes | 64 | |
21.5 | even | 6 | 210.3.w.a.47.4 | yes | 64 | ||
35.33 | even | 12 | 210.3.w.a.173.9 | yes | 64 | ||
105.68 | odd | 12 | inner | 210.3.w.b.173.11 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.9 | ✓ | 64 | 3.2 | odd | 2 | ||
210.3.w.a.47.4 | yes | 64 | 21.5 | even | 6 | ||
210.3.w.a.143.4 | yes | 64 | 5.3 | odd | 4 | ||
210.3.w.a.173.9 | yes | 64 | 35.33 | even | 12 | ||
210.3.w.b.17.11 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.b.47.16 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.143.16 | yes | 64 | 15.8 | even | 4 | inner | |
210.3.w.b.173.11 | yes | 64 | 105.68 | odd | 12 | inner |