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 | 143.4 | ||
Character | \(\chi\) | \(=\) | 210.143 |
Dual form | 210.3.w.a.47.4 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.366025 | − | 1.36603i | 0.183013 | − | 0.683013i | ||||
\(3\) | −2.25393 | + | 1.97985i | −0.751309 | + | 0.659950i | ||||
\(4\) | −1.73205 | − | 1.00000i | −0.433013 | − | 0.250000i | ||||
\(5\) | 0.974348 | + | 4.90415i | 0.194870 | + | 0.980829i | ||||
\(6\) | 1.87953 | + | 3.80360i | 0.313255 | + | 0.633933i | ||||
\(7\) | −4.12022 | − | 5.65896i | −0.588602 | − | 0.808423i | ||||
\(8\) | −2.00000 | + | 2.00000i | −0.250000 | + | 0.250000i | ||||
\(9\) | 1.16038 | − | 8.92488i | 0.128931 | − | 0.991654i | ||||
\(10\) | 7.05582 | + | 0.464058i | 0.705582 | + | 0.0464058i | ||||
\(11\) | −10.7431 | − | 6.20251i | −0.976641 | − | 0.563864i | −0.0753870 | − | 0.997154i | \(-0.524019\pi\) |
−0.901254 | + | 0.433290i | \(0.857353\pi\) | |||||||
\(12\) | 5.88377 | − | 1.17528i | 0.490314 | − | 0.0979396i | ||||
\(13\) | 17.5103 | − | 17.5103i | 1.34695 | − | 1.34695i | 0.457989 | − | 0.888958i | \(-0.348570\pi\) |
0.888958 | − | 0.457989i | \(-0.151430\pi\) | |||||||
\(14\) | −9.23839 | + | 3.55700i | −0.659885 | + | 0.254071i | ||||
\(15\) | −11.9056 | − | 9.12453i | −0.793706 | − | 0.608302i | ||||
\(16\) | 2.00000 | + | 3.46410i | 0.125000 | + | 0.216506i | ||||
\(17\) | −2.57491 | − | 9.60968i | −0.151465 | − | 0.565275i | −0.999382 | − | 0.0351465i | \(-0.988810\pi\) |
0.847917 | − | 0.530129i | \(-0.177856\pi\) | |||||||
\(18\) | −11.7669 | − | 4.85184i | −0.653716 | − | 0.269547i | ||||
\(19\) | −6.00440 | − | 10.3999i | −0.316021 | − | 0.547365i | 0.663633 | − | 0.748058i | \(-0.269014\pi\) |
−0.979654 | + | 0.200694i | \(0.935680\pi\) | |||||||
\(20\) | 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 | ||||
\(23\) | −2.19573 | − | 0.588343i | −0.0954664 | − | 0.0255801i | 0.210770 | − | 0.977536i | \(-0.432403\pi\) |
−0.306236 | + | 0.951956i | \(0.599070\pi\) | |||||||
\(24\) | 0.548153 | − | 8.46756i | 0.0228397 | − | 0.352815i | ||||
\(25\) | −23.1013 | + | 9.55669i | −0.924052 | + | 0.382268i | ||||
\(26\) | −17.5103 | − | 30.3287i | −0.673473 | − | 1.16649i | ||||
\(27\) | 15.0545 | + | 22.4134i | 0.557575 | + | 0.830127i | ||||
\(28\) | 1.47747 | + | 13.9218i | 0.0527667 | + | 0.497208i | ||||
\(29\) | −19.7542 | −0.681181 | −0.340590 | − | 0.940212i | \(-0.610627\pi\) | ||||
−0.340590 | + | 0.940212i | \(0.610627\pi\) | |||||||
\(30\) | −16.8221 | + | 12.9235i | −0.560736 | + | 0.430784i | ||||
\(31\) | −45.3975 | − | 26.2103i | −1.46444 | − | 0.845493i | −0.465225 | − | 0.885193i | \(-0.654026\pi\) |
−0.999212 | + | 0.0396998i | \(0.987360\pi\) | |||||||
\(32\) | 5.46410 | − | 1.46410i | 0.170753 | − | 0.0457532i | ||||
\(33\) | 36.4941 | − | 7.28965i | 1.10588 | − | 0.220899i | ||||
\(34\) | −14.0695 | −0.413810 | ||||||||
\(35\) | 23.7378 | − | 25.7199i | 0.678224 | − | 0.734855i | ||||
\(36\) | −10.9347 | + | 14.2980i | −0.303742 | + | 0.397166i | ||||
\(37\) | 7.35531 | + | 1.97085i | 0.198792 | + | 0.0532662i | 0.356841 | − | 0.934165i | \(-0.383854\pi\) |
−0.158049 | + | 0.987431i | \(0.550520\pi\) | |||||||
\(38\) | −16.4043 | + | 4.39553i | −0.431693 | + | 0.115672i | ||||
\(39\) | −4.79916 | + | 74.1348i | −0.123055 | + | 1.90089i | ||||
\(40\) | −11.7570 | − | 7.85960i | −0.293925 | − | 0.196490i | ||||
\(41\) | 18.4715 | 0.450524 | 0.225262 | − | 0.974298i | \(-0.427676\pi\) | ||||
0.225262 | + | 0.974298i | \(0.427676\pi\) | |||||||
\(42\) | 13.7803 | − | 26.3078i | 0.328103 | − | 0.626377i | ||||
\(43\) | 33.8663 | + | 33.8663i | 0.787588 | + | 0.787588i | 0.981098 | − | 0.193511i | \(-0.0619874\pi\) |
−0.193511 | + | 0.981098i | \(0.561987\pi\) | |||||||
\(44\) | 12.4050 | + | 21.4861i | 0.281932 | + | 0.488321i | ||||
\(45\) | 44.8995 | − | 3.00527i | 0.997767 | − | 0.0667839i | ||||
\(46\) | −1.60738 | + | 2.78407i | −0.0349431 | + | 0.0605233i | ||||
\(47\) | 22.7292 | + | 6.09028i | 0.483600 | + | 0.129580i | 0.492379 | − | 0.870381i | \(-0.336128\pi\) |
−0.00877822 | + | 0.999961i | \(0.502794\pi\) | |||||||
\(48\) | −11.3663 | − | 3.84813i | −0.236797 | − | 0.0801694i | ||||
\(49\) | −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 | ||||
\(52\) | −47.8391 | + | 12.8184i | −0.919982 | + | 0.246508i | ||||
\(53\) | −20.5112 | − | 76.5487i | −0.387003 | − | 1.44432i | −0.834985 | − | 0.550273i | \(-0.814524\pi\) |
0.447982 | − | 0.894043i | \(-0.352143\pi\) | |||||||
\(54\) | 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 | ||||
\(57\) | 34.1238 | + | 11.5529i | 0.598663 | + | 0.202682i | ||||
\(58\) | −7.23056 | + | 26.9848i | −0.124665 | + | 0.465255i | ||||
\(59\) | 6.05375 | + | 3.49513i | 0.102606 | + | 0.0592396i | 0.550425 | − | 0.834885i | \(-0.314466\pi\) |
−0.447819 | + | 0.894124i | \(0.647799\pi\) | |||||||
\(60\) | 11.4966 | + | 27.7097i | 0.191609 | + | 0.461829i | ||||
\(61\) | −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 | ||||
\(63\) | −55.2865 | + | 30.2059i | −0.877564 | + | 0.479459i | ||||
\(64\) | − | 8.00000i | − | 0.125000i | ||||||
\(65\) | 102.934 | + | 68.8120i | 1.58360 | + | 1.05865i | ||||
\(66\) | 3.39992 | − | 52.5201i | 0.0515140 | − | 0.795759i | ||||
\(67\) | −19.8658 | − | 74.1402i | −0.296505 | − | 1.10657i | −0.940015 | − | 0.341133i | \(-0.889189\pi\) |
0.643510 | − | 0.765437i | \(-0.277477\pi\) | |||||||
\(68\) | −5.14981 | + | 19.2194i | −0.0757325 | + | 0.282638i | ||||
\(69\) | 6.11384 | − | 3.02113i | 0.0886064 | − | 0.0437845i | ||||
\(70\) | −26.4454 | − | 41.8406i | −0.377792 | − | 0.597723i | ||||
\(71\) | − | 29.3260i | − | 0.413043i | −0.978442 | − | 0.206521i | \(-0.933786\pi\) | ||
0.978442 | − | 0.206521i | \(-0.0662143\pi\) | |||||||
\(72\) | 15.5290 | + | 20.1705i | 0.215681 | + | 0.280146i | ||||
\(73\) | 3.82451 | + | 14.2733i | 0.0523906 | + | 0.195524i | 0.987161 | − | 0.159728i | \(-0.0510617\pi\) |
−0.934770 | + | 0.355252i | \(0.884395\pi\) | |||||||
\(74\) | 5.38446 | − | 9.32616i | 0.0727630 | − | 0.126029i | ||||
\(75\) | 33.1478 | − | 67.2772i | 0.441971 | − | 0.897029i | ||||
\(76\) | 24.0176i | 0.316021i | ||||||||
\(77\) | 9.16400 | + | 86.3502i | 0.119013 | + | 1.12143i | ||||
\(78\) | 99.5134 | + | 33.6910i | 1.27581 | + | 0.431936i | ||||
\(79\) | −118.620 | + | 68.4854i | −1.50152 | + | 0.866904i | −0.501523 | + | 0.865144i | \(0.667227\pi\) |
−0.999998 | + | 0.00175954i | \(0.999440\pi\) | |||||||
\(80\) | −15.0398 | + | 13.1835i | −0.187997 | + | 0.164794i | ||||
\(81\) | −78.3070 | − | 20.7125i | −0.966754 | − | 0.255710i | ||||
\(82\) | 6.76103 | − | 25.2325i | 0.0824516 | − | 0.307714i | ||||
\(83\) | −12.9941 | − | 12.9941i | −0.156555 | − | 0.156555i | 0.624483 | − | 0.781038i | \(-0.285310\pi\) |
−0.781038 | + | 0.624483i | \(0.785310\pi\) | |||||||
\(84\) | −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 | ||||
\(87\) | 44.5246 | − | 39.1105i | 0.511777 | − | 0.449546i | ||||
\(88\) | 33.8911 | − | 9.08110i | 0.385126 | − | 0.103194i | ||||
\(89\) | 91.0404 | − | 52.5622i | 1.02293 | − | 0.590586i | 0.107976 | − | 0.994154i | \(-0.465563\pi\) |
0.914950 | + | 0.403567i | \(0.132230\pi\) | |||||||
\(90\) | 12.3291 | − | 62.4339i | 0.136990 | − | 0.693710i | ||||
\(91\) | −171.236 | − | 26.9438i | −1.88172 | − | 0.296086i | ||||
\(92\) | 3.21477 | + | 3.21477i | 0.0349431 | + | 0.0349431i | ||||
\(93\) | 154.215 | − | 30.8043i | 1.65823 | − | 0.331229i | ||||
\(94\) | 16.6389 | − | 28.8195i | 0.177010 | − | 0.306590i | ||||
\(95\) | 45.1524 | − | 39.5796i | 0.475288 | − | 0.416628i | ||||
\(96\) | −9.41699 | + | 14.1181i | −0.0980936 | + | 0.147063i | ||||
\(97\) | 69.6870 | + | 69.6870i | 0.718423 | + | 0.718423i | 0.968282 | − | 0.249859i | \(-0.0803843\pi\) |
−0.249859 | + | 0.968282i | \(0.580384\pi\) | |||||||
\(98\) | 58.1931 | + | 37.6240i | 0.593807 | + | 0.383919i | ||||
\(99\) | −67.8227 | + | 88.6833i | −0.685077 | + | 0.895790i | ||||
\(100\) | 49.5693 | + | 6.54862i | 0.495693 | + | 0.0654862i | ||||
\(101\) | −64.9654 | + | 112.523i | −0.643222 | + | 1.11409i | 0.341487 | + | 0.939886i | \(0.389069\pi\) |
−0.984709 | + | 0.174207i | \(0.944264\pi\) | |||||||
\(102\) | 31.7117 | − | 27.8556i | 0.310899 | − | 0.273094i | ||||
\(103\) | 64.8999 | + | 17.3899i | 0.630096 | + | 0.168834i | 0.559713 | − | 0.828686i | \(-0.310911\pi\) |
0.0703830 | + | 0.997520i | \(0.477578\pi\) | |||||||
\(104\) | 70.0412i | 0.673473i | ||||||||
\(105\) | −2.58169 | + | 104.968i | −0.0245876 | + | 0.999698i | ||||
\(106\) | −112.075 | −1.05731 | ||||||||
\(107\) | 26.4268 | − | 98.6262i | 0.246979 | − | 0.921740i | −0.725399 | − | 0.688329i | \(-0.758345\pi\) |
0.972378 | − | 0.233411i | \(-0.0749888\pi\) | |||||||
\(108\) | −3.66179 | − | 53.8757i | −0.0339055 | − | 0.498849i | ||||
\(109\) | 27.6546 | + | 15.9664i | 0.253712 | + | 0.146481i | 0.621463 | − | 0.783444i | \(-0.286539\pi\) |
−0.367751 | + | 0.929924i | \(0.619872\pi\) | |||||||
\(110\) | −72.9228 | − | 48.7492i | −0.662934 | − | 0.443174i | ||||
\(111\) | −20.4803 | + | 10.1203i | −0.184507 | + | 0.0911736i | ||||
\(112\) | 11.3628 | − | 25.5908i | 0.101453 | − | 0.228489i | ||||
\(113\) | −156.967 | + | 156.967i | −1.38909 | + | 1.38909i | −0.561857 | + | 0.827235i | \(0.689913\pi\) |
−0.827235 | + | 0.561857i | \(0.810087\pi\) | |||||||
\(114\) | 28.2717 | − | 42.3853i | 0.247997 | − | 0.371801i | ||||
\(115\) | 0.745919 | − | 11.3414i | 0.00648625 | − | 0.0986210i | ||||
\(116\) | 34.2154 | + | 19.7542i | 0.294960 | + | 0.170295i | ||||
\(117\) | −135.959 | − | 176.596i | −1.16204 | − | 1.50937i | ||||
\(118\) | 6.99027 | − | 6.99027i | 0.0592396 | − | 0.0592396i | ||||
\(119\) | −43.7716 | + | 54.1653i | −0.367829 | + | 0.455170i | ||||
\(120\) | 42.0602 | − | 5.56213i | 0.350502 | − | 0.0463511i | ||||
\(121\) | 16.4422 | + | 28.4787i | 0.135886 | + | 0.235361i | ||||
\(122\) | 2.34947 | + | 8.76834i | 0.0192580 | + | 0.0718717i | ||||
\(123\) | −41.6334 | + | 36.5708i | −0.338483 | + | 0.297324i | ||||
\(124\) | 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 | −0.809164 | − | 0.587583i | \(-0.800080\pi\) |
0.587583 | + | 0.809164i | \(0.300080\pi\) | |||||||
\(128\) | −10.9282 | − | 2.92820i | −0.0853766 | − | 0.0228766i | ||||
\(129\) | −143.382 | − | 9.28195i | −1.11149 | − | 0.0719531i | ||||
\(130\) | 131.675 | − | 115.424i | 1.01289 | − | 0.887876i | ||||
\(131\) | −90.6747 | − | 157.053i | −0.692173 | − | 1.19888i | −0.971124 | − | 0.238574i | \(-0.923320\pi\) |
0.278951 | − | 0.960305i | \(-0.410013\pi\) | |||||||
\(132\) | −70.4993 | − | 23.8681i | −0.534086 | − | 0.180819i | ||||
\(133\) | −34.1133 | + | 76.8286i | −0.256491 | + | 0.577659i | ||||
\(134\) | −108.549 | −0.810066 | ||||||||
\(135\) | −95.2503 | + | 95.6681i | −0.705558 | + | 0.708652i | ||||
\(136\) | 24.3692 | + | 14.0695i | 0.179185 | + | 0.103453i | ||||
\(137\) | 122.825 | − | 32.9109i | 0.896533 | − | 0.240225i | 0.219006 | − | 0.975723i | \(-0.429719\pi\) |
0.677527 | + | 0.735498i | \(0.263052\pi\) | |||||||
\(138\) | −1.88912 | − | 9.45747i | −0.0136893 | − | 0.0685324i | ||||
\(139\) | 43.3069 | 0.311560 | 0.155780 | − | 0.987792i | \(-0.450211\pi\) | ||||
0.155780 | + | 0.987792i | \(0.450211\pi\) | |||||||
\(140\) | −66.8351 | + | 20.8104i | −0.477393 | + | 0.148646i | ||||
\(141\) | −63.2878 | + | 31.2734i | −0.448850 | + | 0.221797i | ||||
\(142\) | −40.0601 | − | 10.7341i | −0.282113 | − | 0.0755921i | ||||
\(143\) | −296.722 | + | 79.5064i | −2.07498 | + | 0.555989i | ||||
\(144\) | 33.2375 | − | 13.8301i | 0.230816 | − | 0.0960423i | ||||
\(145\) | −19.2475 | − | 96.8777i | −0.132741 | − | 0.668122i | ||||
\(146\) | 20.8975 | 0.143134 | ||||||||
\(147\) | −58.4087 | − | 134.898i | −0.397338 | − | 0.917672i | ||||
\(148\) | −10.7689 | − | 10.7689i | −0.0727630 | − | 0.0727630i | ||||
\(149\) | 25.1494 | + | 43.5600i | 0.168788 | + | 0.292349i | 0.937994 | − | 0.346652i | \(-0.112681\pi\) |
−0.769206 | + | 0.639001i | \(0.779348\pi\) | |||||||
\(150\) | −79.7694 | − | 69.9059i | −0.531796 | − | 0.466039i | ||||
\(151\) | −100.541 | + | 174.142i | −0.665832 | + | 1.15326i | 0.313227 | + | 0.949678i | \(0.398590\pi\) |
−0.979059 | + | 0.203577i | \(0.934743\pi\) | |||||||
\(152\) | 32.8087 | + | 8.79106i | 0.215846 | + | 0.0578359i | ||||
\(153\) | −88.7531 | + | 11.8299i | −0.580086 | + | 0.0773194i | ||||
\(154\) | 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 | ||||
\(157\) | 279.617 | − | 74.9231i | 1.78100 | − | 0.477217i | 0.790233 | − | 0.612806i | \(-0.209959\pi\) |
0.990765 | + | 0.135589i | \(0.0432926\pi\) | |||||||
\(158\) | 50.1348 | + | 187.106i | 0.317309 | + | 1.18421i | ||||
\(159\) | 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 | ||||
\(162\) | −56.9562 | + | 99.3881i | −0.351581 | + | 0.613507i | ||||
\(163\) | −20.2995 | + | 75.7586i | −0.124537 | + | 0.464777i | −0.999823 | − | 0.0188285i | \(-0.994006\pi\) |
0.875286 | + | 0.483605i | \(0.160673\pi\) | |||||||
\(164\) | −31.9936 | − | 18.4715i | −0.195083 | − | 0.112631i | ||||
\(165\) | 71.3075 | + | 171.870i | 0.432167 | + | 1.04163i | ||||
\(166\) | −22.5064 | + | 12.9941i | −0.135581 | + | 0.0782777i | ||||
\(167\) | 144.633 | − | 144.633i | 0.866063 | − | 0.866063i | −0.125971 | − | 0.992034i | \(-0.540205\pi\) |
0.992034 | + | 0.125971i | \(0.0402046\pi\) | |||||||
\(168\) | −50.1761 | + | 31.7862i | −0.298667 | + | 0.189204i | ||||
\(169\) | − | 444.222i | − | 2.62853i | ||||||
\(170\) | −13.7086 | − | 68.9991i | −0.0806390 | − | 0.405877i | ||||
\(171\) | −99.7855 | + | 41.5207i | −0.583541 | + | 0.242811i | ||||
\(172\) | −24.7918 | − | 92.5244i | −0.144139 | − | 0.537932i | ||||
\(173\) | 52.8100 | − | 197.090i | 0.305260 | − | 1.13925i | −0.627461 | − | 0.778648i | \(-0.715906\pi\) |
0.932721 | − | 0.360598i | \(-0.117427\pi\) | |||||||
\(174\) | −37.1287 | − | 75.1372i | −0.213384 | − | 0.431823i | ||||
\(175\) | 149.263 | + | 91.3536i | 0.852933 | + | 0.522021i | ||||
\(176\) | − | 49.6201i | − | 0.281932i | ||||||
\(177\) | −20.5646 | + | 4.10774i | −0.116184 | + | 0.0232076i | ||||
\(178\) | −38.4782 | − | 143.603i | −0.216170 | − | 0.806756i | ||||
\(179\) | 41.2899 | − | 71.5162i | 0.230670 | − | 0.399532i | −0.727336 | − | 0.686282i | \(-0.759242\pi\) |
0.958005 | + | 0.286750i | \(0.0925749\pi\) | |||||||
\(180\) | −80.7736 | − | 39.6942i | −0.448742 | − | 0.220524i | ||||
\(181\) | − | 255.798i | − | 1.41325i | −0.707588 | − | 0.706625i | \(-0.750217\pi\) | ||
0.707588 | − | 0.706625i | \(-0.249783\pi\) | |||||||
\(182\) | −99.4828 | + | 224.051i | −0.546609 | + | 1.23105i | ||||
\(183\) | 6.17517 | − | 18.2396i | 0.0337441 | − | 0.0996702i | ||||
\(184\) | 5.56814 | − | 3.21477i | 0.0302616 | − | 0.0174716i | ||||
\(185\) | −2.49870 | + | 37.9918i | −0.0135065 | + | 0.205361i | ||||
\(186\) | 14.3672 | − | 221.937i | 0.0772432 | − | 1.19321i | ||||
\(187\) | −31.9417 | + | 119.208i | −0.170811 | + | 0.637477i | ||||
\(188\) | −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 | \(0.122922\pi\) | |||||||
\(192\) | 15.8388 | + | 18.0314i | 0.0824938 | + | 0.0939136i | ||||
\(193\) | −60.2957 | + | 16.1562i | −0.312413 | + | 0.0837108i | −0.411619 | − | 0.911356i | \(-0.635036\pi\) |
0.0992057 | + | 0.995067i | \(0.468370\pi\) | |||||||
\(194\) | 120.701 | − | 69.6870i | 0.622173 | − | 0.359212i | ||||
\(195\) | −368.244 | + | 48.6973i | −1.88843 | + | 0.249730i | ||||
\(196\) | 72.6955 | − | 65.7219i | 0.370895 | − | 0.335316i | ||||
\(197\) | −72.9575 | − | 72.9575i | −0.370342 | − | 0.370342i | 0.497259 | − | 0.867602i | \(-0.334340\pi\) |
−0.867602 | + | 0.497259i | \(0.834340\pi\) | |||||||
\(198\) | 96.3188 | + | 125.108i | 0.486458 | + | 0.631858i | ||||
\(199\) | −98.5803 | + | 170.746i | −0.495378 | + | 0.858020i | −0.999986 | − | 0.00532864i | \(-0.998304\pi\) |
0.504608 | + | 0.863349i | \(0.331637\pi\) | |||||||
\(200\) | 27.0892 | − | 65.3160i | 0.135446 | − | 0.326580i | ||||
\(201\) | 191.563 | + | 127.775i | 0.953048 | + | 0.635698i | ||||
\(202\) | 129.931 | + | 129.931i | 0.643222 | + | 0.643222i | ||||
\(203\) | 81.3918 | + | 111.788i | 0.400945 | + | 0.550682i | ||||
\(204\) | −26.4442 | − | 53.5149i | −0.129628 | − | 0.262328i | ||||
\(205\) | 17.9977 | + | 90.5869i | 0.0877935 | + | 0.441887i | ||||
\(206\) | 47.5100 | − | 82.2898i | 0.230631 | − | 0.399465i | ||||
\(207\) | −7.79877 | + | 18.9139i | −0.0376752 | + | 0.0913715i | ||||
\(208\) | 95.6781 | + | 25.6369i | 0.459991 | + | 0.123254i | ||||
\(209\) | 148.969i | 0.712772i | ||||||||
\(210\) | 142.444 | + | 41.9477i | 0.678306 | + | 0.199751i | ||||
\(211\) | 6.79097 | 0.0321847 | 0.0160924 | − | 0.999871i | \(-0.494877\pi\) | ||||
0.0160924 | + | 0.999871i | \(0.494877\pi\) | |||||||
\(212\) | −41.0223 | + | 153.097i | −0.193502 | + | 0.722158i | ||||
\(213\) | 58.0612 | + | 66.0988i | 0.272588 | + | 0.310323i | ||||
\(214\) | −125.053 | − | 72.1994i | −0.584360 | − | 0.337380i | ||||
\(215\) | −133.088 | + | 199.083i | −0.619012 | + | 0.925966i | ||||
\(216\) | −74.9359 | − | 14.7178i | −0.346925 | − | 0.0681379i | ||||
\(217\) | 38.7248 | + | 364.895i | 0.178455 | + | 1.68154i | ||||
\(218\) | 31.9328 | − | 31.9328i | 0.146481 | − | 0.146481i | ||||
\(219\) | −36.8791 | − | 24.5990i | −0.168398 | − | 0.112324i | ||||
\(220\) | −93.2842 | + | 81.7709i | −0.424019 | + | 0.371686i | ||||
\(221\) | −213.356 | − | 123.181i | −0.965411 | − | 0.557380i | ||||
\(222\) | 6.32822 | + | 31.6809i | 0.0285055 | + | 0.142707i | ||||
\(223\) | 120.317 | − | 120.317i | 0.539537 | − | 0.539537i | −0.383856 | − | 0.923393i | \(-0.625404\pi\) |
0.923393 | + | 0.383856i | \(0.125404\pi\) | |||||||
\(224\) | −30.7986 | − | 24.8887i | −0.137494 | − | 0.111110i | ||||
\(225\) | 58.4861 | + | 217.266i | 0.259938 | + | 0.965625i | ||||
\(226\) | 156.967 | + | 271.875i | 0.694546 | + | 1.20299i | ||||
\(227\) | 91.7855 | + | 342.548i | 0.404342 | + | 1.50902i | 0.805267 | + | 0.592912i | \(0.202022\pi\) |
−0.400925 | + | 0.916111i | \(0.631311\pi\) | |||||||
\(228\) | −47.5513 | − | 54.1340i | −0.208558 | − | 0.237430i | ||||
\(229\) | 40.1136 | + | 69.4788i | 0.175169 | + | 0.303401i | 0.940220 | − | 0.340569i | \(-0.110620\pi\) |
−0.765051 | + | 0.643970i | \(0.777286\pi\) | |||||||
\(230\) | −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 | ||||
\(233\) | −85.7717 | − | 22.9825i | −0.368119 | − | 0.0986372i | 0.0700172 | − | 0.997546i | \(-0.477695\pi\) |
−0.438136 | + | 0.898909i | \(0.644361\pi\) | |||||||
\(234\) | −290.999 | + | 121.085i | −1.24359 | + | 0.517456i | ||||
\(235\) | −7.72143 | + | 117.401i | −0.0328571 | + | 0.499581i | ||||
\(236\) | −6.99027 | − | 12.1075i | −0.0296198 | − | 0.0513030i | ||||
\(237\) | 131.770 | − | 389.211i | 0.555993 | − | 1.64224i | ||||
\(238\) | 57.9696 | + | 79.6190i | 0.243570 | + | 0.334534i | ||||
\(239\) | 324.480 | 1.35766 | 0.678828 | − | 0.734297i | \(-0.262488\pi\) | ||||
0.678828 | + | 0.734297i | \(0.262488\pi\) | |||||||
\(240\) | 7.79710 | − | 59.4912i | 0.0324879 | − | 0.247880i | ||||
\(241\) | 199.017 | + | 114.903i | 0.825799 | + | 0.476775i | 0.852412 | − | 0.522871i | \(-0.175139\pi\) |
−0.0266134 | + | 0.999646i | \(0.508472\pi\) | |||||||
\(242\) | 44.9208 | − | 12.0365i | 0.185623 | − | 0.0497376i | ||||
\(243\) | 217.506 | − | 108.352i | 0.895087 | − | 0.445892i | ||||
\(244\) | 12.8377 | 0.0526137 | ||||||||
\(245\) | −243.353 | − | 28.3596i | −0.993278 | − | 0.115754i | ||||
\(246\) | 34.7178 | + | 70.2581i | 0.141129 | + | 0.285602i | ||||
\(247\) | −287.245 | − | 76.9671i | −1.16293 | − | 0.311607i | ||||
\(248\) | 143.216 | − | 38.3745i | 0.577482 | − | 0.154736i | ||||
\(249\) | 55.0141 | + | 3.56138i | 0.220940 | + | 0.0143027i | ||||
\(250\) | −167.433 | + | 56.7100i | −0.669734 | + | 0.226840i | ||||
\(251\) | −28.3486 | −0.112943 | −0.0564713 | − | 0.998404i | \(-0.517985\pi\) | ||||
−0.0564713 | + | 0.998404i | \(0.517985\pi\) | |||||||
\(252\) | 125.965 | + | 2.96837i | 0.499861 | + | 0.0117792i | ||||
\(253\) | 19.9396 | + | 19.9396i | 0.0788127 | + | 0.0788127i | ||||
\(254\) | 28.1408 | + | 48.7412i | 0.110790 | + | 0.191895i | ||||
\(255\) | −57.0280 | + | 137.904i | −0.223639 | + | 0.540799i | ||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −178.788 | − | 47.9061i | −0.695673 | − | 0.186405i | −0.106382 | − | 0.994325i | \(-0.533927\pi\) |
−0.589292 | + | 0.807920i | \(0.700593\pi\) | |||||||
\(258\) | −65.1609 | + | 192.466i | −0.252562 | + | 0.745994i | ||||
\(259\) | −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 | ||||
\(262\) | −247.728 | + | 66.3785i | −0.945526 | + | 0.253353i | ||||
\(263\) | 39.8031 | + | 148.547i | 0.151343 | + | 0.564818i | 0.999391 | + | 0.0348993i | \(0.0111110\pi\) |
−0.848048 | + | 0.529919i | \(0.822222\pi\) | |||||||
\(264\) | −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 | ||||
\(267\) | −101.133 | + | 298.718i | −0.378776 | + | 1.11879i | ||||
\(268\) | −39.7316 | + | 148.280i | −0.148252 | + | 0.553285i | ||||
\(269\) | 411.851 | + | 237.783i | 1.53105 | + | 0.883950i | 0.999314 | + | 0.0370376i | \(0.0117921\pi\) |
0.531732 | + | 0.846912i | \(0.321541\pi\) | |||||||
\(270\) | 95.8210 | + | 165.131i | 0.354893 | + | 0.611597i | ||||
\(271\) | 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 | ||||
\(273\) | 439.299 | − | 278.293i | 1.60915 | − | 1.01939i | ||||
\(274\) | − | 179.828i | − | 0.656308i | ||||||
\(275\) | 307.454 | + | 40.6178i | 1.11801 | + | 0.147701i | ||||
\(276\) | −13.6106 | − | 0.881092i | −0.0493138 | − | 0.00319236i | ||||
\(277\) | 1.92704 | + | 7.19180i | 0.00695682 | + | 0.0259632i | 0.969317 | − | 0.245814i | \(-0.0790553\pi\) |
−0.962360 | + | 0.271777i | \(0.912389\pi\) | |||||||
\(278\) | 15.8514 | − | 59.1583i | 0.0570195 | − | 0.212800i | ||||
\(279\) | −286.602 | + | 374.754i | −1.02725 | + | 1.34320i | ||||
\(280\) | 3.96422 | + | 98.9155i | 0.0141579 | + | 0.353270i | ||||
\(281\) | 250.182i | 0.890329i | 0.895449 | + | 0.445164i | \(0.146855\pi\) | ||||
−0.895449 | + | 0.445164i | \(0.853145\pi\) | |||||||
\(282\) | 19.5553 | + | 97.8997i | 0.0693452 | + | 0.347162i | ||||
\(283\) | −80.1352 | − | 299.069i | −0.283163 | − | 1.05678i | −0.950171 | − | 0.311729i | \(-0.899092\pi\) |
0.667008 | − | 0.745051i | \(-0.267575\pi\) | |||||||
\(284\) | −29.3260 | + | 50.7942i | −0.103261 | + | 0.178853i | ||||
\(285\) | −23.4085 | + | 178.605i | −0.0821350 | + | 0.626683i | ||||
\(286\) | 434.431i | 1.51899i | ||||||||
\(287\) | −76.1066 | − | 104.529i | −0.265180 | − | 0.364214i | ||||
\(288\) | −6.72651 | − | 50.4654i | −0.0233559 | − | 0.175227i | ||||
\(289\) | 164.566 | − | 95.0120i | 0.569431 | − | 0.328761i | ||||
\(290\) | −139.382 | − | 9.16711i | −0.480629 | − | 0.0316107i | ||||
\(291\) | −295.040 | − | 19.0996i | −1.01388 | − | 0.0656343i | ||||
\(292\) | 7.64903 | − | 28.5466i | 0.0261953 | − | 0.0977622i | ||||
\(293\) | −243.373 | − | 243.373i | −0.830625 | − | 0.830625i | 0.156977 | − | 0.987602i | \(-0.449825\pi\) |
−0.987602 | + | 0.156977i | \(0.949825\pi\) | |||||||
\(294\) | −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 | ||||
\(297\) | −22.7123 | − | 334.164i | −0.0764723 | − | 1.12513i | ||||
\(298\) | 68.7093 | − | 18.4106i | 0.230568 | − | 0.0617806i | ||||
\(299\) | −48.7499 | + | 28.1458i | −0.163043 | + | 0.0941331i | ||||
\(300\) | −124.691 | + | 83.3797i | −0.415636 | + | 0.277932i | ||||
\(301\) | 52.1114 | − | 331.184i | 0.173128 | − | 1.10028i | ||||
\(302\) | 201.081 | + | 201.081i | 0.665832 | + | 0.665832i | ||||
\(303\) | −76.3522 | − | 382.241i | −0.251988 | − | 1.26152i | ||||
\(304\) | 24.0176 | − | 41.5997i | 0.0790053 | − | 0.136841i | ||||
\(305\) | −21.1559 | − | 24.1346i | −0.0693635 | − | 0.0791298i | ||||
\(306\) | −16.3260 | + | 125.569i | −0.0533530 | + | 0.410356i | ||||
\(307\) | 93.3285 | + | 93.3285i | 0.304002 | + | 0.304002i | 0.842577 | − | 0.538576i | \(-0.181037\pi\) |
−0.538576 | + | 0.842577i | \(0.681037\pi\) | |||||||
\(308\) | 70.4777 | − | 158.727i | 0.228824 | − | 0.515347i | ||||
\(309\) | −180.709 | + | 89.2967i | −0.584819 | + | 0.288986i | ||||
\(310\) | −308.154 | − | 206.002i | −0.994045 | − | 0.664523i | ||||
\(311\) | 256.340 | − | 443.994i | 0.824245 | − | 1.42763i | −0.0782503 | − | 0.996934i | \(-0.524933\pi\) |
0.902495 | − | 0.430700i | \(-0.141733\pi\) | |||||||
\(312\) | −138.671 | − | 157.868i | −0.444459 | − | 0.505987i | ||||
\(313\) | −382.062 | − | 102.373i | −1.22064 | − | 0.327071i | −0.409715 | − | 0.912214i | \(-0.634372\pi\) |
−0.810930 | + | 0.585143i | \(0.801038\pi\) | |||||||
\(314\) | − | 409.387i | − | 1.30378i | ||||||
\(315\) | −202.003 | − | 241.702i | −0.641278 | − | 0.767309i | ||||
\(316\) | 273.942 | 0.866904 | ||||||||
\(317\) | −10.8255 | + | 40.4015i | −0.0341500 | + | 0.127449i | −0.980896 | − | 0.194530i | \(-0.937682\pi\) |
0.946747 | + | 0.321980i | \(0.104348\pi\) | |||||||
\(318\) | 252.609 | − | 221.892i | 0.794368 | − | 0.697774i | ||||
\(319\) | 212.221 | + | 122.526i | 0.665269 | + | 0.384094i | ||||
\(320\) | 39.2332 | − | 7.79479i | 0.122604 | − | 0.0243587i | ||||
\(321\) | 135.701 | + | 274.617i | 0.422745 | + | 0.855506i | ||||
\(322\) | 22.3777 | − | 2.37486i | 0.0694960 | − | 0.00737533i | ||||
\(323\) | −84.4792 | + | 84.4792i | −0.261546 | + | 0.261546i | ||||
\(324\) | 114.919 | + | 114.182i | 0.354689 | + | 0.352414i | ||||
\(325\) | −237.170 | + | 571.851i | −0.729754 | + | 1.75954i | ||||
\(326\) | 96.0581 | + | 55.4592i | 0.294657 | + | 0.170120i | ||||
\(327\) | −93.9426 | + | 18.7649i | −0.287286 | + | 0.0573850i | ||||
\(328\) | −36.9430 | + | 36.9430i | −0.112631 | + | 0.112631i | ||||
\(329\) | −59.1847 | − | 153.717i | −0.179893 | − | 0.467225i | ||||
\(330\) | 260.879 | − | 34.4991i | 0.790542 | − | 0.104543i | ||||
\(331\) | 22.6830 | + | 39.2881i | 0.0685287 | + | 0.118695i | 0.898254 | − | 0.439477i | \(-0.144836\pi\) |
−0.829725 | + | 0.558172i | \(0.811503\pi\) | |||||||
\(332\) | 9.51234 | + | 35.5005i | 0.0286516 | + | 0.106929i | ||||
\(333\) | 26.1245 | − | 63.3583i | 0.0784521 | − | 0.190265i | ||||
\(334\) | −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 | −0.726200 | − | 0.687483i | \(-0.758715\pi\) |
0.687483 | + | 0.726200i | \(0.258715\pi\) | |||||||
\(338\) | −606.818 | − | 162.596i | −1.79532 | − | 0.481055i | ||||
\(339\) | 43.0210 | − | 664.565i | 0.126906 | − | 1.96037i | ||||
\(340\) | −99.2723 | − | 6.52908i | −0.291977 | − | 0.0192032i | ||||
\(341\) | 325.139 | + | 563.157i | 0.953486 | + | 1.65149i | ||||
\(342\) | 20.1943 | + | 151.507i | 0.0590477 | + | 0.443004i | ||||
\(343\) | 325.890 | − | 106.981i | 0.950115 | − | 0.311899i | ||||
\(344\) | −135.465 | −0.393794 | ||||||||
\(345\) | 20.7731 | + | 27.0395i | 0.0602118 | + | 0.0783755i | ||||
\(346\) | −249.899 | − | 144.280i | −0.722253 | − | 0.416993i | ||||
\(347\) | −64.2822 | + | 17.2244i | −0.185251 | + | 0.0496380i | −0.350252 | − | 0.936655i | \(-0.613904\pi\) |
0.165001 | + | 0.986293i | \(0.447237\pi\) | |||||||
\(348\) | −116.229 | + | 23.2167i | −0.333993 | + | 0.0667146i | ||||
\(349\) | −469.199 | −1.34441 | −0.672204 | − | 0.740366i | \(-0.734652\pi\) | ||||
−0.672204 | + | 0.740366i | \(0.734652\pi\) | |||||||
\(350\) | 179.425 | − | 170.460i | 0.512644 | − | 0.487028i | ||||
\(351\) | 656.075 | + | 128.856i | 1.86916 | + | 0.367112i | ||||
\(352\) | −67.7822 | − | 18.1622i | −0.192563 | − | 0.0515972i | ||||
\(353\) | 78.9503 | − | 21.1547i | 0.223655 | − | 0.0599282i | −0.145251 | − | 0.989395i | \(-0.546399\pi\) |
0.368906 | + | 0.929467i | \(0.379732\pi\) | |||||||
\(354\) | −1.91587 | + | 29.5952i | −0.00541206 | + | 0.0836024i | ||||
\(355\) | 143.819 | − | 28.5738i | 0.405124 | − | 0.0804895i | ||||
\(356\) | −210.249 | −0.590586 | ||||||||
\(357\) | −8.58111 | − | 208.746i | −0.0240367 | − | 0.584722i | ||||
\(358\) | −82.5798 | − | 82.5798i | −0.230670 | − | 0.230670i | ||||
\(359\) | −128.468 | − | 222.513i | −0.357850 | − | 0.619815i | 0.629751 | − | 0.776797i | \(-0.283157\pi\) |
−0.987601 | + | 0.156982i | \(0.949823\pi\) | |||||||
\(360\) | −83.7885 | + | 95.8096i | −0.232746 | + | 0.266138i | ||||
\(361\) | 108.394 | − | 187.744i | 0.300261 | − | 0.520068i | ||||
\(362\) | −349.427 | − | 93.6286i | −0.965267 | − | 0.258643i | ||||
\(363\) | −93.4430 | − | 31.6358i | −0.257419 | − | 0.0871510i | ||||
\(364\) | 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 | ||||
\(367\) | 340.989 | − | 91.3678i | 0.929126 | − | 0.248959i | 0.237644 | − | 0.971352i | \(-0.423625\pi\) |
0.691482 | + | 0.722394i | \(0.256958\pi\) | |||||||
\(368\) | −2.35337 | − | 8.78291i | −0.00639504 | − | 0.0238666i | ||||
\(369\) | 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 | ||||
\(372\) | −297.913 | − | 100.861i | −0.800841 | − | 0.271131i | ||||
\(373\) | 36.1120 | − | 134.772i | 0.0968150 | − | 0.361318i | −0.900473 | − | 0.434911i | \(-0.856780\pi\) |
0.997288 | + | 0.0735926i | \(0.0234465\pi\) | |||||||
\(374\) | 151.150 | + | 87.2665i | 0.404144 | + | 0.233333i | ||||
\(375\) | 362.235 | + | 97.0103i | 0.965959 | + | 0.258694i | ||||
\(376\) | −57.6390 | + | 33.2779i | −0.153295 | + | 0.0885050i | ||||
\(377\) | −345.903 | + | 345.903i | −0.917514 | + | 0.917514i | ||||
\(378\) | −218.804 | − | 153.515i | −0.578847 | − | 0.406124i | ||||
\(379\) | − | 603.595i | − | 1.59260i | −0.604903 | − | 0.796299i | \(-0.706788\pi\) | ||
0.604903 | − | 0.796299i | \(-0.293212\pi\) | |||||||
\(380\) | −117.786 | + | 23.4015i | −0.309963 | + | 0.0615829i | ||||
\(381\) | 7.71272 | − | 119.142i | 0.0202434 | − | 0.312708i | ||||
\(382\) | −85.8405 | − | 320.361i | −0.224713 | − | 0.838641i | ||||
\(383\) | −144.948 | + | 540.952i | −0.378454 | + | 1.41241i | 0.469779 | + | 0.882784i | \(0.344334\pi\) |
−0.848232 | + | 0.529624i | \(0.822333\pi\) | |||||||
\(384\) | 30.4288 | − | 15.0363i | 0.0792416 | − | 0.0391569i | ||||
\(385\) | −414.545 | + | 129.077i | −1.07674 | + | 0.335264i | ||||
\(386\) | 88.2791i | 0.228702i | ||||||||
\(387\) | 341.550 | − | 262.955i | 0.882558 | − | 0.679470i | ||||
\(388\) | −51.0145 | − | 190.389i | −0.131481 | − | 0.490692i | ||||
\(389\) | −193.521 | + | 335.189i | −0.497484 | + | 0.861668i | −0.999996 | − | 0.00290262i | \(-0.999076\pi\) |
0.502512 | + | 0.864570i | \(0.332409\pi\) | |||||||
\(390\) | −68.2649 | + | 520.855i | −0.175038 | + | 1.33553i | ||||
\(391\) | 22.6152i | 0.0578393i | ||||||||
\(392\) | −63.1693 | − | 123.360i | −0.161146 | − | 0.314693i | ||||
\(393\) | 515.316 | + | 174.464i | 1.31124 | + | 0.443929i | ||||
\(394\) | −126.366 | + | 72.9575i | −0.320726 | + | 0.185171i | ||||
\(395\) | −451.440 | − | 515.002i | −1.14289 | − | 1.30380i | ||||
\(396\) | 206.156 | − | 85.7812i | 0.520595 | − | 0.216619i | ||||
\(397\) | 39.0460 | − | 145.722i | 0.0983527 | − | 0.367057i | −0.899154 | − | 0.437633i | \(-0.855817\pi\) |
0.997506 | + | 0.0705756i | \(0.0224836\pi\) | |||||||
\(398\) | 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 | \(0.339313\pi\) | |||||||
\(402\) | 244.661 | − | 214.911i | 0.608610 | − | 0.534603i | ||||
\(403\) | −1253.87 | + | 335.975i | −3.11135 | + | 0.833684i | ||||
\(404\) | 225.047 | − | 129.931i | 0.557047 | − | 0.321611i | ||||
\(405\) | 25.2788 | − | 404.210i | 0.0624167 | − | 0.998050i | ||||
\(406\) | 182.497 | − | 70.2658i | 0.449501 | − | 0.173069i | ||||
\(407\) | −66.7943 | − | 66.7943i | −0.164114 | − | 0.164114i | ||||
\(408\) | −82.7820 | + | 16.5356i | −0.202897 | + | 0.0405284i | ||||
\(409\) | −228.214 | + | 395.279i | −0.557981 | + | 0.966452i | 0.439684 | + | 0.898153i | \(0.355091\pi\) |
−0.997665 | + | 0.0682992i | \(0.978243\pi\) | |||||||
\(410\) | 130.332 | + | 8.57184i | 0.317882 | + | 0.0209069i | ||||
\(411\) | −211.680 | + | 317.354i | −0.515037 | + | 0.772151i | ||||
\(412\) | −95.0201 | − | 95.0201i | −0.230631 | − | 0.230631i | ||||
\(413\) | −5.16395 | − | 48.6586i | −0.0125035 | − | 0.117818i | ||||
\(414\) | 22.9823 | + | 17.5763i | 0.0555129 | + | 0.0424548i | ||||
\(415\) | 51.0642 | − | 76.3857i | 0.123046 | − | 0.184062i | ||||
\(416\) | 70.0412 | − | 121.315i | 0.168368 | − | 0.291623i | ||||
\(417\) | −97.6105 | + | 85.7411i | −0.234078 | + | 0.205614i | ||||
\(418\) | 203.496 | + | 54.5266i | 0.486832 | + | 0.130446i | ||||
\(419\) | 478.799i | 1.14272i | 0.820700 | + | 0.571359i | \(0.193584\pi\) | ||||
−0.820700 | + | 0.571359i | \(0.806416\pi\) | |||||||
\(420\) | 109.440 | − | 179.229i | 0.260571 | − | 0.426735i | ||||
\(421\) | −106.194 | −0.252243 | −0.126122 | − | 0.992015i | \(-0.540253\pi\) | ||||
−0.126122 | + | 0.992015i | \(0.540253\pi\) | |||||||
\(422\) | 2.48567 | − | 9.27664i | 0.00589021 | − | 0.0219826i | ||||
\(423\) | 80.7295 | − | 195.789i | 0.190850 | − | 0.462857i | ||||
\(424\) | 194.120 | + | 112.075i | 0.457830 | + | 0.264328i | ||||
\(425\) | 151.320 | + | 197.388i | 0.356048 | + | 0.464443i | ||||
\(426\) | 111.544 | − | 55.1192i | 0.261841 | − | 0.129388i | ||||
\(427\) | 41.0660 | + | 18.2340i | 0.0961732 | + | 0.0427027i | ||||
\(428\) | −144.399 | + | 144.399i | −0.337380 | + | 0.337380i | ||||
\(429\) | 511.379 | − | 766.667i | 1.19203 | − | 1.78710i | ||||
\(430\) | 223.239 | + | 254.670i | 0.519159 | + | 0.592257i | ||||
\(431\) | −65.6870 | − | 37.9244i | −0.152406 | − | 0.0879916i | 0.421858 | − | 0.906662i | \(-0.361378\pi\) |
−0.574264 | + | 0.818670i | \(0.694712\pi\) | |||||||
\(432\) | −47.5333 | + | 96.9772i | −0.110031 | + | 0.224484i | ||||
\(433\) | 93.6962 | − | 93.6962i | 0.216388 | − | 0.216388i | −0.590586 | − | 0.806975i | \(-0.701103\pi\) |
0.806975 | + | 0.590586i | \(0.201103\pi\) | |||||||
\(434\) | 512.630 | + | 80.6616i | 1.18117 | + | 0.185856i | ||||
\(435\) | 235.186 | + | 180.248i | 0.540657 | + | 0.414363i | ||||
\(436\) | −31.9328 | − | 55.3092i | −0.0732403 | − | 0.126856i | ||||
\(437\) | 7.06530 | + | 26.3681i | 0.0161677 | + | 0.0603388i | ||||
\(438\) | −47.1015 | + | 41.3740i | −0.107538 | + | 0.0944612i | ||||
\(439\) | 77.2676 | + | 133.831i | 0.176008 | + | 0.304855i | 0.940510 | − | 0.339767i | \(-0.110348\pi\) |
−0.764502 | + | 0.644622i | \(0.777015\pi\) | |||||||
\(440\) | 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 | ||||
\(443\) | −413.388 | − | 110.767i | −0.933156 | − | 0.250038i | −0.239956 | − | 0.970784i | \(-0.577133\pi\) |
−0.693200 | + | 0.720745i | \(0.743800\pi\) | |||||||
\(444\) | 45.5932 | + | 2.95151i | 0.102687 | + | 0.00664754i | ||||
\(445\) | 346.478 | + | 395.261i | 0.778602 | + | 0.888228i | ||||
\(446\) | −120.317 | − | 208.395i | −0.269768 | − | 0.467252i | ||||
\(447\) | −142.927 | − | 48.3890i | −0.319747 | − | 0.108253i | ||||
\(448\) | −45.2717 | + | 32.9617i | −0.101053 | + | 0.0735753i | ||||
\(449\) | −145.264 | −0.323527 | −0.161763 | − | 0.986830i | \(-0.551718\pi\) | ||||
−0.161763 | + | 0.986830i | \(0.551718\pi\) | |||||||
\(450\) | 318.198 | − | 0.368714i | 0.707106 | − | 0.000819365i | ||||
\(451\) | −198.440 | − | 114.570i | −0.440001 | − | 0.254034i | ||||
\(452\) | 428.843 | − | 114.908i | 0.948767 | − | 0.254221i | ||||
\(453\) | −118.163 | − | 591.558i | −0.260845 | − | 1.30587i | ||||
\(454\) | 501.525 | 1.10468 | ||||||||
\(455\) | −34.7074 | − | 866.021i | −0.0762800 | − | 1.90334i | ||||
\(456\) | −91.3533 | + | 45.1419i | −0.200336 | + | 0.0989953i | ||||
\(457\) | −792.590 | − | 212.374i | −1.73433 | − | 0.464713i | −0.753158 | − | 0.657839i | \(-0.771471\pi\) |
−0.981174 | + | 0.193127i | \(0.938137\pi\) | |||||||
\(458\) | 109.592 | − | 29.3652i | 0.239285 | − | 0.0641162i | ||||
\(459\) | 176.622 | − | 202.382i | 0.384797 | − | 0.440919i | ||||
\(460\) | −12.6334 | + | 18.8980i | −0.0274639 | + | 0.0410826i | ||||
\(461\) | 204.599 | 0.443817 | 0.221908 | − | 0.975068i | \(-0.428771\pi\) | ||||
0.221908 | + | 0.975068i | \(0.428771\pi\) | |||||||
\(462\) | −311.217 | + | 197.154i | −0.673631 | + | 0.426741i | ||||
\(463\) | 151.528 | + | 151.528i | 0.327275 | + | 0.327275i | 0.851549 | − | 0.524274i | \(-0.175663\pi\) |
−0.524274 | + | 0.851549i | \(0.675663\pi\) | |||||||
\(464\) | −39.5085 | − | 68.4307i | −0.0851476 | − | 0.147480i | ||||
\(465\) | 301.328 | + | 726.280i | 0.648017 | + | 1.56189i | ||||
\(466\) | −62.7893 | + | 108.754i | −0.134741 | + | 0.233378i | ||||
\(467\) | 223.760 | + | 59.9564i | 0.479144 | + | 0.128386i | 0.490304 | − | 0.871551i | \(-0.336886\pi\) |
−0.0111598 | + | 0.999938i | \(0.503552\pi\) | |||||||
\(468\) | 58.8916 | + | 441.832i | 0.125837 | + | 0.944086i | ||||
\(469\) | −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 | ||||
\(472\) | −19.0978 | + | 5.11723i | −0.0404614 | + | 0.0108416i | ||||
\(473\) | −153.771 | − | 573.883i | −0.325098 | − | 1.21328i | ||||
\(474\) | −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 | ||||
\(477\) | −706.989 | + | 94.2342i | −1.48216 | + | 0.197556i | ||||
\(478\) | 118.768 | − | 443.248i | 0.248468 | − | 0.927296i | ||||
\(479\) | 311.301 | + | 179.730i | 0.649898 | + | 0.375219i | 0.788417 | − | 0.615141i | \(-0.210901\pi\) |
−0.138519 | + | 0.990360i | \(0.544234\pi\) | |||||||
\(480\) | −78.4126 | − | 32.4263i | −0.163360 | − | 0.0675549i | ||||
\(481\) | 163.304 | − | 94.2836i | 0.339509 | − | 0.196016i | ||||
\(482\) | 229.806 | − | 229.806i | 0.476775 | − | 0.476775i | ||||
\(483\) | −42.2868 | − | 22.1503i | −0.0875503 | − | 0.0458598i | ||||
\(484\) | − | 65.7687i | − | 0.135886i | ||||||
\(485\) | −273.856 | + | 409.655i | −0.564652 | + | 0.844649i | ||||
\(486\) | −68.3986 | − | 336.778i | −0.140738 | − | 0.692959i | ||||
\(487\) | −118.310 | − | 441.541i | −0.242937 | − | 0.906654i | −0.974409 | − | 0.224782i | \(-0.927833\pi\) |
0.731472 | − | 0.681872i | \(-0.238834\pi\) | |||||||
\(488\) | 4.69894 | − | 17.5367i | 0.00962898 | − | 0.0359358i | ||||
\(489\) | −104.237 | − | 210.944i | −0.213164 | − | 0.431379i | ||||
\(490\) | −127.813 | + | 322.046i | −0.260844 | + | 0.657237i | ||||
\(491\) | − | 587.015i | − | 1.19555i | −0.801664 | − | 0.597775i | \(-0.796052\pi\) | ||
0.801664 | − | 0.597775i | \(-0.203948\pi\) | |||||||
\(492\) | 108.682 | − | 21.7091i | 0.220898 | − | 0.0441242i | ||||
\(493\) | 50.8653 | + | 189.832i | 0.103175 | + | 0.385055i | ||||
\(494\) | −210.278 | + | 364.212i | −0.425664 | + | 0.737271i | ||||
\(495\) | −500.998 | − | 246.204i | −1.01212 | − | 0.497381i | ||||
\(496\) | − | 209.682i | − | 0.422746i | ||||||
\(497\) | −165.955 | + | 120.830i | −0.333913 | + | 0.243118i | ||||
\(498\) | 25.0015 | − | 73.8472i | 0.0502038 | − | 0.148287i | ||||
\(499\) | −505.419 | + | 291.804i | −1.01286 | + | 0.584778i | −0.912029 | − | 0.410125i | \(-0.865485\pi\) |
−0.100836 | + | 0.994903i | \(0.532152\pi\) | |||||||
\(500\) | 16.1824 | + | 249.476i | 0.0323648 | + | 0.498951i | ||||
\(501\) | −39.6404 | + | 612.342i | −0.0791225 | + | 1.22224i | ||||
\(502\) | −10.3763 | + | 38.7249i | −0.0206699 | + | 0.0771413i | ||||
\(503\) | 390.083 | + | 390.083i | 0.775514 | + | 0.775514i | 0.979064 | − | 0.203551i | \(-0.0652482\pi\) |
−0.203551 | + | 0.979064i | \(0.565248\pi\) | |||||||
\(504\) | 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 | ||||
\(507\) | 879.493 | + | 1001.24i | 1.73470 | + | 1.97484i | ||||
\(508\) | 76.8820 | − | 20.6005i | 0.151342 | − | 0.0405521i | ||||
\(509\) | −235.694 | + | 136.078i | −0.463053 | + | 0.267344i | −0.713327 | − | 0.700831i | \(-0.752813\pi\) |
0.250274 | + | 0.968175i | \(0.419479\pi\) | |||||||
\(510\) | 167.506 | + | 128.378i | 0.328444 | + | 0.251721i | ||||
\(511\) | 65.0141 | − | 80.4518i | 0.127229 | − | 0.157440i | ||||
\(512\) | 16.0000 | + | 16.0000i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 142.705 | − | 291.145i | 0.278176 | − | 0.567535i | ||||
\(514\) | −130.882 | + | 226.694i | −0.254634 | + | 0.441039i | ||||
\(515\) | −22.0474 | + | 335.223i | −0.0428105 | + | 0.650918i | ||||
\(516\) | 239.063 | + | 159.459i | 0.463301 | + | 0.309029i | ||||
\(517\) | −206.406 | − | 206.406i | −0.399238 | − | 0.399238i | ||||
\(518\) | −74.9615 | + | 7.95537i | −0.144713 | + | 0.0153578i | ||||
\(519\) | 271.178 | + | 548.781i | 0.522501 | + | 1.05738i | ||||
\(520\) | −343.492 | + | 68.2445i | −0.660562 | + | 0.131240i | ||||
\(521\) | 35.4235 | − | 61.3553i | 0.0679913 | − | 0.117764i | −0.830026 | − | 0.557725i | \(-0.811674\pi\) |
0.898017 | + | 0.439961i | \(0.145008\pi\) | |||||||
\(522\) | 232.446 | + | 95.8445i | 0.445299 | + | 0.183610i | ||||
\(523\) | −359.546 | − | 96.3401i | −0.687468 | − | 0.184207i | −0.101858 | − | 0.994799i | \(-0.532479\pi\) |
−0.585611 | + | 0.810592i | \(0.699145\pi\) | |||||||
\(524\) | 362.699i | 0.692173i | ||||||||
\(525\) | −517.295 | + | 89.6146i | −0.985324 | + | 0.170695i | ||||
\(526\) | 217.488 | 0.413476 | ||||||||
\(527\) | −134.978 | + | 503.745i | −0.256125 | + | 0.955872i | ||||
\(528\) | 98.2403 | + | 111.840i | 0.186061 | + | 0.211818i | ||||
\(529\) | −453.652 | − | 261.916i | −0.857566 | − | 0.495116i | ||||
\(530\) | −109.200 | − | 549.633i | −0.206038 | − | 1.03704i | ||||
\(531\) | 38.2183 | − | 49.9733i | 0.0719742 | − | 0.0941117i | ||||
\(532\) | 135.915 | − | 98.9578i | 0.255479 | − | 0.186011i | ||||
\(533\) | 323.442 | − | 323.442i | 0.606832 | − | 0.606832i | ||||
\(534\) | 371.039 | + | 247.489i | 0.694829 | + | 0.463462i | ||||
\(535\) | 509.426 | + | 33.5047i | 0.952198 | + | 0.0626255i | ||||
\(536\) | 188.012 | + | 108.549i | 0.350769 | + | 0.202516i | ||||
\(537\) | 48.5270 | + | 242.940i | 0.0903669 | + | 0.452403i | ||||
\(538\) | 475.565 | − | 475.565i | 0.883950 | − | 0.883950i | ||||
\(539\) | 450.894 | − | 407.640i | 0.836539 | − | 0.756290i | ||||
\(540\) | 260.646 | − | 70.4516i | 0.482679 | − | 0.130466i | ||||
\(541\) | −3.41709 | − | 5.91858i | −0.00631626 | − | 0.0109401i | 0.862850 | − | 0.505460i | \(-0.168677\pi\) |
−0.869166 | + | 0.494520i | \(0.835344\pi\) | |||||||
\(542\) | −135.210 | − | 504.611i | −0.249465 | − | 0.931017i | ||||
\(543\) | 506.442 | + | 576.551i | 0.932675 | + | 1.06179i | ||||
\(544\) | −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 | −0.833338 | − | 0.552763i | \(-0.813573\pi\) |
0.552763 | + | 0.833338i | \(0.313573\pi\) | |||||||
\(548\) | −245.650 | − | 65.8217i | −0.448266 | − | 0.120113i | ||||
\(549\) | 22.1934 | + | 53.3368i | 0.0404251 | + | 0.0971526i | ||||
\(550\) | 168.021 | − | 405.123i | 0.305493 | − | 0.736587i | ||||
\(551\) | 118.612 | + | 205.443i | 0.215268 | + | 0.372854i | ||||
\(552\) | −6.18543 | + | 18.2699i | −0.0112055 | + | 0.0330977i | ||||
\(553\) | 876.297 | + | 389.092i | 1.58462 | + | 0.703602i | ||||
\(554\) | 10.5295 | 0.0190064 | ||||||||
\(555\) | −69.5862 | − | 90.5778i | −0.125381 | − | 0.163203i | ||||
\(556\) | −75.0097 | − | 43.3069i | −0.134910 | − | 0.0778900i | ||||
\(557\) | 653.178 | − | 175.018i | 1.17267 | − | 0.314216i | 0.380655 | − | 0.924717i | \(-0.375699\pi\) |
0.792016 | + | 0.610501i | \(0.209032\pi\) | |||||||
\(558\) | 407.020 | + | 528.675i | 0.729426 | + | 0.947446i | ||||
\(559\) | 1186.02 | 2.12168 | ||||||||
\(560\) | 136.572 | + | 30.7904i | 0.243879 | + | 0.0549828i | ||||
\(561\) | −164.020 | − | 331.927i | −0.292371 | − | 0.591669i | ||||
\(562\) | 341.755 | + | 91.5731i | 0.608106 | + | 0.162941i | ||||
\(563\) | 791.706 | − | 212.137i | 1.40623 | − | 0.376797i | 0.525650 | − | 0.850701i | \(-0.323822\pi\) |
0.880577 | + | 0.473903i | \(0.157155\pi\) | |||||||
\(564\) | 140.891 | + | 9.12068i | 0.249807 | + | 0.0161714i | ||||
\(565\) | −922.731 | − | 616.850i | −1.63315 | − | 1.09177i | ||||
\(566\) | −437.867 | −0.773616 | ||||||||
\(567\) | 205.431 | + | 528.476i | 0.362312 | + | 0.932057i | ||||
\(568\) | 58.6521 | + | 58.6521i | 0.103261 | + | 0.103261i | ||||
\(569\) | −300.221 | − | 519.999i | −0.527630 | − | 0.913882i | −0.999481 | − | 0.0322036i | \(-0.989747\pi\) |
0.471852 | − | 0.881678i | \(-0.343586\pi\) | |||||||
\(570\) | 235.410 | + | 97.3504i | 0.413001 | + | 0.170790i | ||||
\(571\) | 184.989 | − | 320.410i | 0.323973 | − | 0.561139i | −0.657331 | − | 0.753602i | \(-0.728314\pi\) |
0.981304 | + | 0.192464i | \(0.0616478\pi\) | |||||||
\(572\) | 593.444 | + | 159.013i | 1.03749 | + | 0.277995i | ||||
\(573\) | −225.616 | + | 666.405i | −0.393746 | + | 1.16301i | ||||
\(574\) | −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 | ||||
\(577\) | 629.390 | − | 168.644i | 1.09080 | − | 0.292278i | 0.331785 | − | 0.943355i | \(-0.392349\pi\) |
0.759012 | + | 0.651077i | \(0.225682\pi\) | |||||||
\(578\) | −69.5536 | − | 259.577i | −0.120335 | − | 0.449096i | ||||
\(579\) | 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 | ||||
\(582\) | −134.082 | + | 396.041i | −0.230382 | + | 0.680482i | ||||
\(583\) | −254.441 | + | 949.588i | −0.436434 | + | 1.62880i | ||||
\(584\) | −36.1956 | − | 20.8975i | −0.0619787 | − | 0.0357834i | ||||
\(585\) | 733.581 | − | 838.828i | 1.25399 | − | 1.43389i | ||||
\(586\) | −421.534 | + | 243.373i | −0.719342 | + | 0.415312i | ||||
\(587\) | 332.823 | − | 332.823i | 0.566990 | − | 0.566990i | −0.364294 | − | 0.931284i | \(-0.618690\pi\) |
0.931284 | + | 0.364294i | \(0.118690\pi\) | |||||||
\(588\) | −33.7309 | + | 292.059i | −0.0573655 | + | 0.496698i | ||||
\(589\) | 629.508i | 1.06877i | ||||||||
\(590\) | 41.0923 | + | 27.4703i | 0.0696479 | + | 0.0465599i | ||||
\(591\) | 308.886 | + | 19.9959i | 0.522649 | + | 0.0338340i | ||||
\(592\) | 7.88340 | + | 29.4212i | 0.0133165 | + | 0.0496980i | ||||
\(593\) | −217.567 | + | 811.972i | −0.366893 | + | 1.36926i | 0.497944 | + | 0.867209i | \(0.334088\pi\) |
−0.864837 | + | 0.502053i | \(0.832578\pi\) | |||||||
\(594\) | −464.790 | − | 91.2871i | −0.782475 | − | 0.153682i | ||||
\(595\) | −308.283 | − | 161.887i | −0.518123 | − | 0.272078i | ||||
\(596\) | − | 100.597i | − | 0.168788i | ||||||
\(597\) | −115.859 | − | 580.023i | −0.194069 | − | 0.971563i | ||||
\(598\) | 20.6041 | + | 76.8957i | 0.0344551 | + | 0.128588i | ||||
\(599\) | −114.855 | + | 198.935i | −0.191745 | + | 0.332112i | −0.945829 | − | 0.324666i | \(-0.894748\pi\) |
0.754083 | + | 0.656779i | \(0.228081\pi\) | |||||||
\(600\) | 68.2588 | + | 200.850i | 0.113765 | + | 0.334750i | ||||
\(601\) | 500.222i | 0.832317i | 0.909292 | + | 0.416158i | \(0.136624\pi\) | ||||
−0.909292 | + | 0.416158i | \(0.863376\pi\) | |||||||
\(602\) | −433.332 | − | 192.407i | −0.719820 | − | 0.319614i | ||||
\(603\) | −684.745 | + | 91.2693i | −1.13556 | + | 0.151359i | ||||
\(604\) | 348.283 | − | 201.081i | 0.576628 | − | 0.332916i | ||||
\(605\) | −123.643 | + | 108.383i | −0.204369 | + | 0.179145i | ||||
\(606\) | −550.098 | − | 35.6110i | −0.907753 | − | 0.0587640i | ||||
\(607\) | −130.568 | + | 487.286i | −0.215104 | + | 0.802778i | 0.771026 | + | 0.636803i | \(0.219744\pi\) |
−0.986130 | + | 0.165974i | \(0.946923\pi\) | |||||||
\(608\) | −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 | ||||
\(612\) | 165.555 | + | 68.2632i | 0.270514 | + | 0.111541i | ||||
\(613\) | −116.493 | + | 31.2143i | −0.190038 | + | 0.0509206i | −0.352583 | − | 0.935781i | \(-0.614697\pi\) |
0.162545 | + | 0.986701i | \(0.448030\pi\) | |||||||
\(614\) | 161.650 | − | 93.3285i | 0.263273 | − | 0.152001i | ||||
\(615\) | −219.914 | − | 168.544i | −0.357584 | − | 0.274055i | ||||
\(616\) | −191.028 | − | 154.372i | −0.310111 | − | 0.250604i | ||||
\(617\) | −177.691 | − | 177.691i | −0.287993 | − | 0.287993i | 0.548293 | − | 0.836286i | \(-0.315278\pi\) |
−0.836286 | + | 0.548293i | \(0.815278\pi\) | |||||||
\(618\) | 55.8374 | + | 279.538i | 0.0903517 | + | 0.452327i | ||||
\(619\) | −160.858 | + | 278.615i | −0.259868 | + | 0.450105i | −0.966206 | − | 0.257769i | \(-0.917012\pi\) |
0.706338 | + | 0.707875i | \(0.250346\pi\) | |||||||
\(620\) | −394.196 | + | 345.544i | −0.635801 | + | 0.557329i | ||||
\(621\) | −19.8689 | − | 58.0710i | −0.0319949 | − | 0.0935120i | ||||
\(622\) | −512.680 | − | 512.680i | −0.824245 | − | 0.824245i | ||||
\(623\) | −672.553 | − | 298.626i | −1.07954 | − | 0.479336i | ||||
\(624\) | −266.409 | + | 131.645i | −0.426937 | + | 0.210969i | ||||
\(625\) | 442.339 | − | 441.544i | 0.707743 | − | 0.706470i | ||||
\(626\) | −279.689 | + | 484.435i | −0.446787 | + | 0.773858i | ||||
\(627\) | −294.937 | − | 335.766i | −0.470394 | − | 0.535512i | ||||
\(628\) | −559.234 | − | 149.846i | −0.890499 | − | 0.238609i | ||||
\(629\) | − | 75.7569i | − | 0.120440i | ||||||
\(630\) | −404.109 | + | 187.471i | −0.641444 | + | 0.297574i | ||||
\(631\) | 967.459 | 1.53322 | 0.766608 | − | 0.642116i | \(-0.221943\pi\) | ||||
0.766608 | + | 0.642116i | \(0.221943\pi\) | |||||||
\(632\) | 100.270 | − | 374.211i | 0.158654 | − | 0.592106i | ||||
\(633\) | −15.3064 | + | 13.4451i | −0.0241807 | + | 0.0212403i | ||||
\(634\) | 51.2270 | + | 29.5759i | 0.0807997 | + | 0.0466497i | ||||
\(635\) | −165.425 | − | 110.587i | −0.260512 | − | 0.174154i | ||||
\(636\) | −210.649 | − | 426.289i | −0.331209 | − | 0.670265i | ||||
\(637\) | 553.057 | + | 1080.03i | 0.868222 | + | 1.69550i | ||||
\(638\) | 245.052 | − | 245.052i | 0.384094 | − | 0.384094i | ||||
\(639\) | −261.731 | − | 34.0293i | −0.409595 | − | 0.0532540i | ||||
\(640\) | 3.71246 | − | 56.4466i | 0.00580072 | − | 0.0881978i | ||||
\(641\) | −1072.34 | − | 619.114i | −1.67291 | − | 0.965856i | −0.965996 | − | 0.258558i | \(-0.916753\pi\) |
−0.706916 | − | 0.707298i | \(-0.749914\pi\) | |||||||
\(642\) | 424.804 | − | 84.8541i | 0.661689 | − | 0.132172i | ||||
\(643\) | 193.264 | − | 193.264i | 0.300566 | − | 0.300566i | −0.540669 | − | 0.841235i | \(-0.681829\pi\) |
0.841235 | + | 0.540669i | \(0.181829\pi\) | |||||||
\(644\) | 4.94670 | − | 31.4378i | 0.00768120 | − | 0.0488164i | ||||
\(645\) | −94.1842 | − | 712.211i | −0.146022 | − | 1.10420i | ||||
\(646\) | 84.4792 | + | 146.322i | 0.130773 | + | 0.226505i | ||||
\(647\) | 213.123 | + | 795.387i | 0.329402 | + | 1.22935i | 0.909812 | + | 0.415021i | \(0.136226\pi\) |
−0.580409 | + | 0.814325i | \(0.697107\pi\) | |||||||
\(648\) | 198.039 | − | 115.189i | 0.305616 | − | 0.177761i | ||||
\(649\) | −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 | ||||
\(653\) | 883.061 | + | 236.615i | 1.35231 | + | 0.362351i | 0.860988 | − | 0.508625i | \(-0.169846\pi\) |
0.491325 | + | 0.870976i | \(0.336513\pi\) | |||||||
\(654\) | −8.75203 | + | 135.196i | −0.0133823 | + | 0.206722i | ||||
\(655\) | 681.863 | − | 597.706i | 1.04101 | − | 0.912529i | ||||
\(656\) | 36.9430 | + | 63.9871i | 0.0563155 | + | 0.0975413i | ||||
\(657\) | 131.825 | − | 17.5709i | 0.200647 | − | 0.0267442i | ||||
\(658\) | −231.644 | + | 24.5835i | −0.352043 | + | 0.0373609i | ||||
\(659\) | 909.184 | 1.37964 | 0.689821 | − | 0.723980i | \(-0.257689\pi\) | ||||
0.689821 | + | 0.723980i | \(0.257689\pi\) | |||||||
\(660\) | 48.3616 | − | 368.995i | 0.0732751 | − | 0.559083i | ||||
\(661\) | −804.144 | − | 464.273i | −1.21656 | − | 0.702379i | −0.252377 | − | 0.967629i | \(-0.581212\pi\) |
−0.964180 | + | 0.265250i | \(0.914546\pi\) | |||||||
\(662\) | 61.9711 | − | 16.6051i | 0.0936119 | − | 0.0250832i | ||||
\(663\) | 724.769 | − | 144.772i | 1.09317 | − | 0.218358i | ||||
\(664\) | 51.9764 | 0.0782777 | ||||||||
\(665\) | −410.017 | − | 92.4389i | −0.616567 | − | 0.139006i | ||||
\(666\) | −76.9869 | − | 58.8776i | −0.115596 | − | 0.0884047i | ||||
\(667\) | 43.3749 | + | 11.6223i | 0.0650299 | + | 0.0174247i | ||||
\(668\) | −395.143 | + | 105.878i | −0.591532 | + | 0.158501i | ||||
\(669\) | −32.9760 | + | 509.394i | −0.0492914 | + | 0.761426i | ||||
\(670\) | −105.764 | − | 532.339i | −0.157857 | − | 0.794536i | ||||
\(671\) | 79.6262 | 0.118668 | ||||||||
\(672\) | 118.694 | − | 4.87925i | 0.176628 | − | 0.00726079i | ||||
\(673\) | 47.0329 | + | 47.0329i | 0.0698855 | + | 0.0698855i | 0.741186 | − | 0.671300i | \(-0.234264\pi\) |
−0.671300 | + | 0.741186i | \(0.734264\pi\) | |||||||
\(674\) | 13.0476 | + | 22.5992i | 0.0193585 | + | 0.0335299i | ||||
\(675\) | −561.977 | − | 373.907i | −0.832559 | − | 0.553937i | ||||
\(676\) | −444.222 | + | 769.415i | −0.657133 | + | 1.13819i | ||||
\(677\) | −661.147 | − | 177.154i | −0.976583 | − | 0.261675i | −0.264978 | − | 0.964254i | \(-0.585365\pi\) |
−0.711605 | + | 0.702580i | \(0.752031\pi\) | |||||||
\(678\) | −892.066 | − | 302.015i | −1.31573 | − | 0.445451i | ||||
\(679\) | 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 | ||||
\(682\) | 888.296 | − | 238.018i | 1.30249 | − | 0.349000i | ||||
\(683\) | −13.8960 | − | 51.8605i | −0.0203455 | − | 0.0759304i | 0.955007 | − | 0.296584i | \(-0.0958476\pi\) |
−0.975352 | + | 0.220654i | \(0.929181\pi\) | |||||||
\(684\) | 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 | ||||
\(687\) | −227.971 | − | 77.1813i | −0.331835 | − | 0.112345i | ||||
\(688\) | −49.5837 | + | 185.049i | −0.0720693 | + | 0.268966i | ||||
\(689\) | −1699.55 | − | 981.235i | −2.46669 | − | 1.42414i | ||||
\(690\) | 44.5402 | − | 18.4794i | 0.0645510 | − | 0.0267817i | ||||
\(691\) | −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 | ||||
\(693\) | 781.299 | + | 18.4113i | 1.12742 | + | 0.0265675i | ||||
\(694\) | 94.1157i | 0.135613i | ||||||||
\(695\) | 42.1960 | + | 212.383i | 0.0607136 | + | 0.305587i | ||||
\(696\) | −10.8283 | + | 167.270i | −0.0155580 | + | 0.240331i | ||||
\(697\) | −47.5624 | − | 177.505i | −0.0682387 | − | 0.254670i | ||||
\(698\) | −171.739 | + | 640.937i | −0.246044 | + | 0.918248i | ||||
\(699\) | 238.825 | − | 118.014i | 0.341667 | − | 0.168833i | ||||
\(700\) | −167.178 | − | 307.492i | −0.238826 | − | 0.439275i | ||||
\(701\) | − | 122.711i | − | 0.175052i | −0.996162 | − | 0.0875259i | \(-0.972104\pi\) | ||
0.996162 | − | 0.0875259i | \(-0.0278960\pi\) | |||||||
\(702\) | 416.161 | − | 849.051i | 0.592822 | − | 1.20947i | ||||
\(703\) | −23.6675 | − | 88.3285i | −0.0336665 | − | 0.125645i | ||||
\(704\) | −49.6201 | + | 85.9444i | −0.0704830 | + | 0.122080i | ||||
\(705\) | −215.034 | − | 279.902i | −0.305013 | − | 0.397024i | ||||
\(706\) | − | 115.591i | − | 0.163727i | ||||||
\(707\) | 904.437 | − | 95.9843i | 1.27926 | − | 0.135763i | ||||
\(708\) | 39.7266 | + | 13.4497i | 0.0561110 | + | 0.0189968i | ||||
\(709\) | 869.912 | − | 502.244i | 1.22696 | − | 0.708384i | 0.260565 | − | 0.965456i | \(-0.416091\pi\) |
0.966392 | + | 0.257072i | \(0.0827579\pi\) | |||||||
\(710\) | 13.6090 | − | 206.919i | 0.0191676 | − | 0.291436i | ||||
\(711\) | 473.580 | + | 1138.14i | 0.666076 | + | 1.60076i | ||||
\(712\) | −76.9564 | + | 287.205i | −0.108085 | + | 0.403378i | ||||
\(713\) | 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 | ||||
\(717\) | −731.354 | + | 642.422i | −1.02002 | + | 0.895986i | ||||
\(718\) | −350.982 | + | 94.0453i | −0.488832 | + | 0.130982i | ||||
\(719\) | −477.102 | + | 275.455i | −0.663563 | + | 0.383109i | −0.793633 | − | 0.608396i | \(-0.791813\pi\) |
0.130070 | + | 0.991505i | \(0.458480\pi\) | |||||||
\(720\) | 100.210 | + | 149.526i | 0.139180 | + | 0.207675i | ||||
\(721\) | −168.993 | − | 438.916i | −0.234387 | − | 0.608760i | ||||
\(722\) | −216.789 | − | 216.789i | −0.300261 | − | 0.300261i | ||||
\(723\) | −676.061 | + | 135.042i | −0.935078 | + | 0.186781i | ||||
\(724\) | −255.798 | + | 443.055i | −0.353312 | + | 0.611955i | ||||
\(725\) | 456.349 | − | 188.785i | 0.629446 | − | 0.260393i | ||||
\(726\) | −77.4178 | + | 116.066i | −0.106636 | + | 0.159871i | ||||
\(727\) | 240.311 | + | 240.311i | 0.330551 | + | 0.330551i | 0.852796 | − | 0.522244i | \(-0.174905\pi\) |
−0.522244 | + | 0.852796i | \(0.674905\pi\) | |||||||
\(728\) | 396.360 | − | 288.585i | 0.544451 | − | 0.396408i | ||||
\(729\) | −275.722 | + | 674.847i | −0.378220 | + | 0.925716i | ||||
\(730\) | 20.3615 | + | 102.485i | 0.0278924 | + | 0.140390i | ||||
\(731\) | 238.242 | − | 412.646i | 0.325912 | − | 0.564496i | ||||
\(732\) | −28.9354 | + | 25.4168i | −0.0395292 | + | 0.0347224i | ||||
\(733\) | 803.442 | + | 215.282i | 1.09610 | + | 0.293699i | 0.761176 | − | 0.648545i | \(-0.224622\pi\) |
0.334925 | + | 0.942245i | \(0.391289\pi\) | |||||||
\(734\) | − | 499.243i | − | 0.680168i | ||||||
\(735\) | 604.648 | − | 417.882i | 0.822651 | − | 0.568547i | ||||
\(736\) | −12.8591 | −0.0174716 | ||||||||
\(737\) | −246.436 | + | 919.711i | −0.334377 | + | 1.24791i | ||||
\(738\) | −217.352 | − | 89.6207i | −0.294515 | − | 0.121437i | ||||
\(739\) | 520.019 | + | 300.233i | 0.703679 | + | 0.406269i | 0.808716 | − | 0.588199i | \(-0.200163\pi\) |
−0.105037 | + | 0.994468i | \(0.533496\pi\) | |||||||
\(740\) | 42.3197 | − | 63.3050i | 0.0571888 | − | 0.0855473i | ||||
\(741\) | 799.813 | − | 395.224i | 1.07937 | − | 0.533366i | ||||
\(742\) | 461.774 | + | 634.228i | 0.622337 | + | 0.854755i | ||||
\(743\) | −883.804 | + | 883.804i | −1.18951 | + | 1.18951i | −0.212303 | + | 0.977204i | \(0.568097\pi\) |
−0.977204 | + | 0.212303i | \(0.931903\pi\) | |||||||
\(744\) | −246.822 | + | 370.039i | −0.331750 | + | 0.497364i | ||||
\(745\) | −189.120 | + | 165.779i | −0.253853 | + | 0.222522i | ||||
\(746\) | −170.884 | − | 98.6598i | −0.229067 | − | 0.132252i | ||||
\(747\) | −131.049 | + | 100.893i | −0.175434 | + | 0.135064i | ||||
\(748\) | 174.533 | − | 174.533i | 0.233333 | − | 0.233333i | ||||
\(749\) | −667.006 | + | 256.813i | −0.890528 | + | 0.342875i | ||||
\(750\) | 265.106 | − | 459.314i | 0.353474 | − | 0.612418i | ||||
\(751\) | −273.083 | − | 472.994i | −0.363626 | − | 0.629819i | 0.624928 | − | 0.780682i | \(-0.285128\pi\) |
−0.988555 | + | 0.150863i | \(0.951795\pi\) | |||||||
\(752\) | 24.3611 | + | 90.9169i | 0.0323951 | + | 0.120900i | ||||
\(753\) | 63.8957 | − | 56.1260i | 0.0848549 | − | 0.0745366i | ||||
\(754\) | 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 | 0.123803 | − | 0.992307i | \(-0.460491\pi\) |
0.992307 | − | 0.123803i | \(-0.0395089\pi\) | |||||||
\(758\) | −824.526 | − | 220.931i | −1.08776 | − | 0.291466i | ||||
\(759\) | −84.4199 | − | 5.46498i | −0.111225 | − | 0.00720024i | ||||
\(760\) | −11.1456 | + | 169.464i | −0.0146652 | + | 0.222979i | ||||
\(761\) | −240.512 | − | 416.578i | −0.316047 | − | 0.547409i | 0.663613 | − | 0.748076i | \(-0.269022\pi\) |
−0.979659 | + | 0.200667i | \(0.935689\pi\) | |||||||
\(762\) | −159.928 | − | 54.1447i | −0.209879 | − | 0.0710560i | ||||
\(763\) | −23.5898 | − | 222.281i | −0.0309172 | − | 0.291325i | ||||
\(764\) | −469.041 | −0.613928 | ||||||||
\(765\) | −144.492 | − | 423.732i | −0.188878 | − | 0.553898i | ||||
\(766\) | 685.900 | + | 396.005i | 0.895431 | + | 0.516977i | ||||
\(767\) | 167.204 | − | 44.8022i | 0.217997 | − | 0.0584122i | ||||
\(768\) | −9.40220 | − | 47.0701i | −0.0122424 | − | 0.0612893i | ||||
\(769\) | −466.831 | −0.607063 | −0.303531 | − | 0.952821i | \(-0.598166\pi\) | ||||
−0.303531 | + | 0.952821i | \(0.598166\pi\) | |||||||
\(770\) | 24.5881 | + | 613.524i | 0.0319326 | + | 0.796785i | ||||
\(771\) | 497.822 | − | 245.997i | 0.645684 | − | 0.319062i | ||||
\(772\) | 120.591 | + | 32.3124i | 0.156207 | + | 0.0418554i | ||||
\(773\) | 259.005 | − | 69.4001i | 0.335064 | − | 0.0897802i | −0.0873642 | − | 0.996176i | \(-0.527844\pi\) |
0.422429 | + | 0.906396i | \(0.361178\pi\) | |||||||
\(774\) | −234.187 | − | 562.814i | −0.302567 | − | 0.727150i | ||||
\(775\) | 1299.23 | + | 171.641i | 1.67642 | + | 0.221472i | ||||
\(776\) | −278.748 | −0.359212 | ||||||||
\(777\) | 141.654 | + | 74.1996i | 0.182308 | + | 0.0954950i | ||||
\(778\) | 387.043 | + | 387.043i | 0.497484 | + | 0.497484i | ||||
\(779\) | −110.910 | − | 192.102i | −0.142375 | − | 0.246601i | ||||
\(780\) | 686.514 | + | 283.898i | 0.880146 | + | 0.363971i | ||||
\(781\) | −181.895 | + | 315.051i | −0.232900 | + | 0.403395i | ||||
\(782\) | 30.8929 | + | 8.27773i | 0.0395050 | + | 0.0105853i | ||||
\(783\) | −297.391 | − | 442.760i | −0.379809 | − | 0.565466i | ||||
\(784\) | −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 | ||||
\(787\) | 144.189 | − | 38.6353i | 0.183213 | − | 0.0490919i | −0.166046 | − | 0.986118i | \(-0.553100\pi\) |
0.349259 | + | 0.937026i | \(0.386433\pi\) | |||||||
\(788\) | 53.4086 | + | 199.324i | 0.0677774 | + | 0.252949i | ||||
\(789\) | −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 | ||||
\(792\) | −41.7212 | − | 313.012i | −0.0526783 | − | 0.395217i | ||||
\(793\) | −41.1400 | + | 153.536i | −0.0518789 | + | 0.193615i | ||||
\(794\) | −184.768 | − | 106.676i | −0.232705 | − | 0.134352i | ||||
\(795\) | −454.273 | + | 1098.51i | −0.571413 | + | 1.38178i | ||||
\(796\) | 341.492 | − | 197.161i | 0.429010 | − | 0.247689i | ||||
\(797\) | 324.186 | − | 324.186i | 0.406758 | − | 0.406758i | −0.473848 | − | 0.880606i | \(-0.657136\pi\) |
0.880606 | + | 0.473848i | \(0.157136\pi\) | |||||||
\(798\) | −356.342 | + | 14.6485i | −0.446544 | + | 0.0183565i | ||||
\(799\) | − | 234.102i | − | 0.292994i | ||||||
\(800\) | −112.236 | + | 86.0414i | −0.140295 | + | 0.107552i | ||||
\(801\) | −363.470 | − | 873.517i | −0.453770 | − | 1.09053i | ||||
\(802\) | 5.51386 | + | 20.5780i | 0.00687513 | + | 0.0256583i | ||||
\(803\) | 47.4431 | − | 177.060i | 0.0590824 | − | 0.220498i | ||||
\(804\) | −204.021 | − | 412.876i | −0.253758 | − | 0.513528i | ||||
\(805\) | −67.2540 | + | 42.5080i | −0.0835453 | + | 0.0528049i | ||||
\(806\) | 1835.80i | 2.27767i | ||||||||
\(807\) | −1399.06 | + | 279.460i | −1.73365 | + | 0.346295i | ||||
\(808\) | −95.1160 | − | 354.978i | −0.117718 | − | 0.439329i | ||||
\(809\) | 52.6954 | − | 91.2712i | 0.0651365 | − | 0.112820i | −0.831618 | − | 0.555348i | \(-0.812585\pi\) |
0.896755 | + | 0.442528i | \(0.145918\pi\) | |||||||
\(810\) | −542.909 | − | 182.483i | −0.670258 | − | 0.225287i | ||||
\(811\) | 514.088i | 0.633894i | 0.948443 | + | 0.316947i | \(0.102658\pi\) | ||||
−0.948443 | + | 0.316947i | \(0.897342\pi\) | |||||||
\(812\) | −29.1863 | − | 275.015i | −0.0359437 | − | 0.338688i | ||||
\(813\) | −355.376 | + | 1049.68i | −0.437117 | + | 1.29112i | ||||
\(814\) | −115.691 | + | 66.7943i | −0.142127 | + | 0.0820569i | ||||
\(815\) | −391.310 | − | 25.7362i | −0.480135 | − | 0.0315782i | ||||
\(816\) | −7.71226 | + | 119.135i | −0.00945130 | + | 0.145998i | ||||
\(817\) | 148.860 | − | 555.554i | 0.182203 | − | 0.679992i | ||||
\(818\) | 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 | \(0.369753\pi\) | |||||||
\(822\) | 356.033 | + | 405.320i | 0.433130 | + | 0.493090i | ||||
\(823\) | −1.64940 | + | 0.441956i | −0.00200413 | + | 0.000537006i | −0.259821 | − | 0.965657i | \(-0.583664\pi\) |
0.257817 | + | 0.966194i | \(0.416997\pi\) | |||||||
\(824\) | −164.580 | + | 95.0201i | −0.199733 | + | 0.115316i | ||||
\(825\) | −773.396 | + | 517.163i | −0.937450 | + | 0.626865i | ||||
\(826\) | −68.3591 | − | 10.7562i | −0.0827592 | − | 0.0130220i | ||||
\(827\) | −788.573 | − | 788.573i | −0.953534 | − | 0.953534i | 0.0454329 | − | 0.998967i | \(-0.485533\pi\) |
−0.998967 | + | 0.0454329i | \(0.985533\pi\) | |||||||
\(828\) | 32.4218 | − | 24.9611i | 0.0391567 | − | 0.0301462i | ||||
\(829\) | 90.1710 | − | 156.181i | 0.108771 | − | 0.188397i | −0.806502 | − | 0.591232i | \(-0.798642\pi\) |
0.915273 | + | 0.402835i | \(0.131975\pi\) | |||||||
\(830\) | −85.6541 | − | 97.7141i | −0.103198 | − | 0.117728i | ||||
\(831\) | −18.5821 | − | 12.3946i | −0.0223611 | − | 0.0149152i | ||||
\(832\) | −140.082 | − | 140.082i | −0.168368 | − | 0.168368i | ||||
\(833\) | 486.867 | + | 24.5291i | 0.584475 | + | 0.0294467i | ||||
\(834\) | 81.3966 | + | 164.722i | 0.0975979 | + | 0.197508i | ||||
\(835\) | 850.221 | + | 568.377i | 1.01823 | + | 0.680690i | ||||
\(836\) | 148.969 | − | 258.023i | 0.178193 | − | 0.308639i | ||||
\(837\) | −95.9765 | − | 1412.10i | −0.114667 | − | 1.68709i | ||||
\(838\) | 654.052 | + | 175.253i | 0.780491 | + | 0.209132i | ||||
\(839\) | − | 891.089i | − | 1.06208i | −0.847345 | − | 0.531042i | \(-0.821800\pi\) | ||
0.847345 | − | 0.531042i | \(-0.178200\pi\) | |||||||
\(840\) | −204.773 | − | 215.100i | −0.243778 | − | 0.256071i | ||||
\(841\) | −450.770 | −0.535993 | ||||||||
\(842\) | −38.8698 | + | 145.064i | −0.0461637 | + | 0.172285i | ||||
\(843\) | −495.324 | − | 563.893i | −0.587573 | − | 0.668912i | ||||
\(844\) | −11.7623 | − | 6.79097i | −0.0139364 | − | 0.00804618i | ||||
\(845\) | 2178.53 | − | 432.827i | 2.57814 | − | 0.512221i | ||||
\(846\) | −237.903 | − | 181.942i | −0.281209 | − | 0.215062i | ||||
\(847\) | 93.4143 | − | 210.384i | 0.110288 | − | 0.248387i | ||||
\(848\) | 224.150 | − | 224.150i | 0.264328 | − | 0.264328i | ||||
\(849\) | 772.730 | + | 515.423i | 0.910165 | + | 0.607095i | ||||
\(850\) | 325.025 | − | 134.458i | 0.382382 | − | 0.158186i | ||||
\(851\) | −14.9907 | − | 8.65490i | −0.0176154 | − | 0.0101703i | ||||
\(852\) | −34.4662 | − | 172.548i | −0.0404532 | − | 0.202521i | ||||
\(853\) | −636.757 | + | 636.757i | −0.746491 | + | 0.746491i | −0.973818 | − | 0.227327i | \(-0.927001\pi\) |
0.227327 | + | 0.973818i | \(0.427001\pi\) | |||||||
\(854\) | 39.9394 | − | 49.4230i | 0.0467674 | − | 0.0578724i | ||||
\(855\) | −300.850 | − | 448.907i | −0.351871 | − | 0.525038i | ||||
\(856\) | 144.399 | + | 250.106i | 0.168690 | + | 0.292180i | ||||
\(857\) | −246.869 | − | 921.327i | −0.288062 | − | 1.07506i | −0.946573 | − | 0.322490i | \(-0.895480\pi\) |
0.658511 | − | 0.752571i | \(-0.271186\pi\) | |||||||
\(858\) | −860.109 | − | 979.176i | −1.00246 | − | 1.14123i | ||||
\(859\) | 106.929 | + | 185.207i | 0.124481 | + | 0.215608i | 0.921530 | − | 0.388307i | \(-0.126940\pi\) |
−0.797049 | + | 0.603915i | \(0.793607\pi\) | |||||||
\(860\) | 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 | ||||
\(863\) | 1274.52 | + | 341.506i | 1.47684 | + | 0.395719i | 0.905272 | − | 0.424832i | \(-0.139667\pi\) |
0.571573 | + | 0.820551i | \(0.306334\pi\) | |||||||
\(864\) | 115.075 | + | 100.428i | 0.133189 | + | 0.116236i | ||||
\(865\) | 1018.01 | + | 66.9540i | 1.17689 | + | 0.0774035i | ||||
\(866\) | −93.6962 | − | 162.287i | −0.108194 | − | 0.187398i | ||||
\(867\) | −182.809 | + | 539.965i | −0.210853 | + | 0.622797i | ||||
\(868\) | 297.821 | − | 670.741i | 0.343112 | − | 0.772743i | ||||
\(869\) | 1699.12 | 1.95526 | ||||||||
\(870\) | 332.308 | − | 255.295i | 0.381963 | − | 0.293442i | ||||
\(871\) | −1646.07 | − | 950.362i | −1.88987 | − | 1.09112i | ||||
\(872\) | −87.2420 | + | 23.3764i | −0.100048 | + | 0.0268078i | ||||
\(873\) | 702.812 | − | 541.085i | 0.805054 | − | 0.619800i | ||||
\(874\) | 38.6055 | 0.0441711 | ||||||||
\(875\) | −302.577 | + | 821.019i | −0.345802 | + | 0.938307i | ||||
\(876\) | 39.2776 | + | 79.4858i | 0.0448374 | + | 0.0907372i | ||||
\(877\) | 245.464 | + | 65.7718i | 0.279890 | + | 0.0749964i | 0.396033 | − | 0.918236i | \(-0.370386\pi\) |
−0.116143 | + | 0.993232i | \(0.537053\pi\) | |||||||
\(878\) | 211.099 | − | 56.5638i | 0.240432 | − | 0.0644235i | ||||
\(879\) | 1030.39 | + | 66.7028i | 1.17223 | + | 0.0758849i | ||||
\(880\) | 243.344 | − | 48.3472i | 0.276527 | − | 0.0549400i | ||||
\(881\) | −1325.86 | −1.50494 | −0.752472 | − | 0.658624i | \(-0.771139\pi\) | ||||
−0.752472 | + | 0.658624i | \(0.771139\pi\) | |||||||
\(882\) | 403.316 | − | 475.708i | 0.457274 | − | 0.539352i | ||||
\(883\) | −84.2819 | − | 84.2819i | −0.0954495 | − | 0.0954495i | 0.657770 | − | 0.753219i | \(-0.271500\pi\) |
−0.753219 | + | 0.657770i | \(0.771500\pi\) | |||||||
\(884\) | 246.362 | + | 426.712i | 0.278690 | + | 0.482706i | ||||
\(885\) | −40.1820 | − | 96.8492i | −0.0454034 | − | 0.109434i | ||||
\(886\) | −302.621 | + | 524.155i | −0.341559 | + | 0.591597i | ||||
\(887\) | 160.992 | + | 43.1375i | 0.181501 | + | 0.0486331i | 0.348425 | − | 0.937337i | \(-0.386717\pi\) |
−0.166924 | + | 0.985970i | \(0.553383\pi\) | |||||||
\(888\) | 20.7201 | − | 61.2012i | 0.0233335 | − | 0.0689202i | ||||
\(889\) | 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 | ||||
\(892\) | −328.711 | + | 88.0779i | −0.368510 | + | 0.0987421i | ||||
\(893\) | −73.1369 | − | 272.951i | −0.0819003 | − | 0.305656i | ||||
\(894\) | −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 | ||||
\(897\) | 54.1544 | − | 159.956i | 0.0603727 | − | 0.178324i | ||||
\(898\) | −53.1702 | + | 198.434i | −0.0592095 | + | 0.220973i | ||||
\(899\) | 896.794 | + | 517.764i | 0.997546 | + | 0.575933i | ||||
\(900\) | 115.965 | − | 434.801i | 0.128850 | − | 0.483113i | ||||
\(901\) | −682.794 | + | 394.211i | −0.757818 | + | 0.437527i | ||||
\(902\) | −229.139 | + | 229.139i | −0.254034 | + | 0.254034i | ||||
\(903\) | 538.240 | + | 849.638i | 0.596058 | + | 0.940906i | ||||
\(904\) | − | 627.869i | − | 0.694546i | ||||||
\(905\) | 1254.47 | − | 249.236i | 1.38616 | − | 0.275399i | ||||
\(906\) | −851.334 | − | 55.1117i | −0.939662 | − | 0.0608297i | ||||
\(907\) | −308.102 | − | 1149.85i | −0.339694 | − | 1.26775i | −0.898690 | − | 0.438584i | \(-0.855480\pi\) |
0.558996 | − | 0.829170i | \(-0.311187\pi\) | |||||||
\(908\) | 183.571 | − | 685.096i | 0.202171 | − | 0.754512i | ||||
\(909\) | 928.874 | + | 710.379i | 1.02186 | + | 0.781495i | ||||
\(910\) | −1195.71 | − | 269.574i | −1.31397 | − | 0.296236i | ||||
\(911\) | 259.080i | 0.284391i | 0.989839 | + | 0.142196i | \(0.0454162\pi\) | ||||
−0.989839 | + | 0.142196i | \(0.954584\pi\) | |||||||
\(912\) | 28.2273 | + | 141.314i | 0.0309510 | + | 0.154950i | ||||
\(913\) | 59.0004 | + | 220.192i | 0.0646225 | + | 0.241175i | ||||
\(914\) | −580.216 | + | 1004.96i | −0.634810 | + | 1.09952i | ||||
\(915\) | 95.4667 | + | 12.5122i | 0.104335 | + | 0.0136745i | ||||
\(916\) | − | 160.454i | − | 0.175169i | ||||||
\(917\) | −515.158 | + | 1160.22i | −0.561786 | + | 1.26523i | ||||
\(918\) | −211.810 | − | 315.347i | −0.230730 | − | 0.343515i | ||||
\(919\) | −1025.06 | + | 591.821i | −1.11541 | + | 0.643984i | −0.940226 | − | 0.340551i | \(-0.889386\pi\) |
−0.175187 | + | 0.984535i | \(0.556053\pi\) | |||||||
\(920\) | 21.1910 | + | 24.1747i | 0.0230337 | + | 0.0262768i | ||||
\(921\) | −395.132 | − | 25.5791i | −0.429025 | − | 0.0277732i | ||||
\(922\) | 74.8886 | − | 279.488i | 0.0812241 | − | 0.303132i | ||||
\(923\) | −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 | ||||
\(927\) | 230.511 | − | 559.045i | 0.248664 | − | 0.603069i | ||||
\(928\) | −107.939 | + | 28.9222i | −0.116314 | + | 0.0311662i | ||||
\(929\) | −108.028 | + | 62.3703i | −0.116285 | + | 0.0671370i | −0.557014 | − | 0.830503i | \(-0.688053\pi\) |
0.440730 | + | 0.897640i | \(0.354720\pi\) | |||||||
\(930\) | 1102.41 | − | 145.785i | 1.18539 | − | 0.156758i | ||||
\(931\) | 575.324 | − | 123.505i | 0.617964 | − | 0.132658i | ||||
\(932\) | 125.579 | + | 125.579i | 0.134741 | + | 0.134741i | ||||
\(933\) | 301.270 | + | 1508.25i | 0.322905 | + | 1.61656i | ||||
\(934\) | 163.804 | − | 283.717i | 0.175379 | − | 0.303765i | ||||
\(935\) | −615.737 | − | 40.4967i | −0.658542 | − | 0.0433119i | ||||
\(936\) | 625.110 | + | 81.2744i | 0.667852 | + | 0.0868316i | ||||
\(937\) | −770.881 | − | 770.881i | −0.822712 | − | 0.822712i | 0.163784 | − | 0.986496i | \(-0.447630\pi\) |
−0.986496 | + | 0.163784i | \(0.947630\pi\) | |||||||
\(938\) | 447.245 | + | 614.273i | 0.476807 | + | 0.654876i | ||||
\(939\) | 1063.82 | − | 525.684i | 1.13293 | − | 0.559834i | ||||
\(940\) | 130.775 | − | 195.624i | 0.139123 | − | 0.208110i | ||||
\(941\) | −248.010 | + | 429.565i | −0.263560 | + | 0.456499i | −0.967185 | − | 0.254072i | \(-0.918230\pi\) |
0.703626 | + | 0.710571i | \(0.251563\pi\) | |||||||
\(942\) | 810.526 | + | 922.730i | 0.860431 | + | 0.979543i | ||||
\(943\) | −40.5584 | − | 10.8676i | −0.0430099 | − | 0.0115245i | ||||
\(944\) | 27.9611i | 0.0296198i | ||||||||
\(945\) | 933.834 | + | 144.844i | 0.988184 | + | 0.153274i | ||||
\(946\) | −840.223 | −0.888185 | ||||||||
\(947\) | 55.5796 | − | 207.426i | 0.0586902 | − | 0.219035i | −0.930352 | − | 0.366667i | \(-0.880499\pi\) |
0.989042 | + | 0.147633i | \(0.0471654\pi\) | |||||||
\(948\) | −617.445 | + | 542.364i | −0.651313 | + | 0.572114i | ||||
\(949\) | 316.898 | + | 182.961i | 0.333928 | + | 0.192794i | ||||
\(950\) | 336.955 | − | 258.314i | 0.354689 | − | 0.271909i | ||||
\(951\) | −55.5889 | − | 112.495i | −0.0584531 | − | 0.118291i | ||||
\(952\) | −20.7873 | − | 195.874i | −0.0218354 | − | 0.205750i | ||||
\(953\) | 750.792 | − | 750.792i | 0.787820 | − | 0.787820i | −0.193317 | − | 0.981136i | \(-0.561924\pi\) |
0.981136 | + | 0.193317i | \(0.0619245\pi\) | |||||||
\(954\) | −130.050 | + | 1000.26i | −0.136320 | + | 1.04849i | ||||
\(955\) | 772.952 | + | 881.783i | 0.809374 | + | 0.923333i | ||||
\(956\) | −562.016 | − | 324.480i | −0.587882 | − | 0.339414i | ||||
\(957\) | −720.914 | + | 144.002i | −0.753306 | + | 0.150472i | ||||
\(958\) | 359.460 | − | 359.460i | 0.375219 | − | 0.375219i | ||||
\(959\) | −692.307 | − | 559.462i | −0.721905 | − | 0.583380i | ||||
\(960\) | −72.9962 | + | 95.2447i | −0.0760377 | + | 0.0992132i | ||||
\(961\) | 893.457 | + | 1547.51i | 0.929716 | + | 1.61032i | ||||
\(962\) | −69.0204 | − | 257.587i | −0.0717467 | − | 0.267762i | ||||
\(963\) | −849.562 | − | 350.300i | −0.882203 | − | 0.363759i | ||||
\(964\) | −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 | −0.952477 | − | 0.304611i | \(-0.901474\pi\) |
0.304611 | + | 0.952477i | \(0.401474\pi\) | |||||||
\(968\) | −89.8417 | − | 24.0730i | −0.0928117 | − | 0.0248688i | ||||
\(969\) | 23.1538 | − | 357.666i | 0.0238945 | − | 0.369109i | ||||
\(970\) | 459.361 | + | 524.038i | 0.473568 | + | 0.540246i | ||||
\(971\) | −330.876 | − | 573.095i | −0.340758 | − | 0.590211i | 0.643815 | − | 0.765181i | \(-0.277350\pi\) |
−0.984574 | + | 0.174970i | \(0.944017\pi\) | |||||||
\(972\) | −485.083 | − | 29.8352i | −0.499057 | − | 0.0306946i | ||||
\(973\) | −178.434 | − | 245.072i | −0.183385 | − | 0.251872i | ||||
\(974\) | −646.460 | −0.663717 | ||||||||
\(975\) | −597.616 | − | 1758.47i | −0.612940 | − | 1.80356i | ||||
\(976\) | −22.2356 | − | 12.8377i | −0.0227824 | − | 0.0131534i | ||||
\(977\) | −797.536 | + | 213.699i | −0.816312 | + | 0.218730i | −0.642733 | − | 0.766090i | \(-0.722200\pi\) |
−0.173578 | + | 0.984820i | \(0.555533\pi\) | |||||||
\(978\) | −326.309 | + | 65.1798i | −0.333649 | + | 0.0666460i | ||||
\(979\) | −1304.07 | −1.33204 | ||||||||
\(980\) | 393.140 | + | 292.473i | 0.401164 | + | 0.298442i | ||||
\(981\) | 174.588 | − | 228.287i | 0.177969 | − | 0.232708i | ||||
\(982\) | −801.878 | − | 214.862i | −0.816576 | − | 0.218801i | ||||
\(983\) | 320.203 | − | 85.7983i | 0.325741 | − | 0.0872821i | −0.0922427 | − | 0.995737i | \(-0.529404\pi\) |
0.417984 | + | 0.908455i | \(0.362737\pi\) | |||||||
\(984\) | 10.1252 | − | 156.408i | 0.0102898 | − | 0.158952i | ||||
\(985\) | 286.708 | − | 428.880i | 0.291074 | − | 0.435411i | ||||
\(986\) | 277.933 | 0.281880 | ||||||||
\(987\) | 437.735 | + | 229.290i | 0.443500 | + | 0.232310i | ||||
\(988\) | 420.556 | + | 420.556i | 0.425664 | + | 0.425664i | ||||
\(989\) | −54.4361 | − | 94.2861i | −0.0550415 | − | 0.0953348i | ||||
\(990\) | −519.699 | + | 594.260i | −0.524948 | + | 0.600262i | ||||
\(991\) | −1.13038 | + | 1.95788i | −0.00114065 | + | 0.00197566i | −0.866595 | − | 0.499012i | \(-0.833696\pi\) |
0.865455 | + | 0.500988i | \(0.167030\pi\) | |||||||
\(992\) | −286.431 | − | 76.7490i | −0.288741 | − | 0.0773680i | ||||
\(993\) | −128.910 | − | 43.6436i | −0.129819 | − | 0.0439512i | ||||
\(994\) | 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 | ||||
\(997\) | −976.803 | + | 261.733i | −0.979742 | + | 0.262521i | −0.712936 | − | 0.701229i | \(-0.752635\pi\) |
−0.266806 | + | 0.963750i | \(0.585968\pi\) | |||||||
\(998\) | 213.615 | + | 797.224i | 0.214044 | + | 0.798821i | ||||
\(999\) | 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.a.143.4 | yes | 64 | |
3.2 | odd | 2 | 210.3.w.b.143.16 | yes | 64 | ||
5.2 | odd | 4 | 210.3.w.b.17.11 | yes | 64 | ||
7.5 | odd | 6 | inner | 210.3.w.a.173.9 | yes | 64 | |
15.2 | even | 4 | inner | 210.3.w.a.17.9 | ✓ | 64 | |
21.5 | even | 6 | 210.3.w.b.173.11 | yes | 64 | ||
35.12 | even | 12 | 210.3.w.b.47.16 | yes | 64 | ||
105.47 | odd | 12 | inner | 210.3.w.a.47.4 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.w.a.17.9 | ✓ | 64 | 15.2 | even | 4 | inner | |
210.3.w.a.47.4 | yes | 64 | 105.47 | odd | 12 | inner | |
210.3.w.a.143.4 | yes | 64 | 1.1 | even | 1 | trivial | |
210.3.w.a.173.9 | yes | 64 | 7.5 | odd | 6 | inner | |
210.3.w.b.17.11 | yes | 64 | 5.2 | odd | 4 | ||
210.3.w.b.47.16 | yes | 64 | 35.12 | even | 12 | ||
210.3.w.b.143.16 | yes | 64 | 3.2 | odd | 2 | ||
210.3.w.b.173.11 | yes | 64 | 21.5 | even | 6 |