Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,3,Mod(149,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 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("210.149");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.q (of order \(6\), degree \(2\), 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: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 149.8 | ||
Character | \(\chi\) | \(=\) | 210.149 |
Dual form | 210.3.q.a.179.8 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | + | 1.22474i | −0.353553 | + | 0.612372i | ||||
\(3\) | −0.355071 | + | 2.97891i | −0.118357 | + | 0.992971i | ||||
\(4\) | −1.00000 | − | 1.73205i | −0.250000 | − | 0.433013i | ||||
\(5\) | −1.67341 | + | 4.71166i | −0.334682 | + | 0.942331i | ||||
\(6\) | −3.39734 | − | 2.54128i | −0.566223 | − | 0.423547i | ||||
\(7\) | −7.00000 | + | 0.00780758i | −0.999999 | + | 0.00111537i | ||||
\(8\) | 2.82843 | 0.353553 | ||||||||
\(9\) | −8.74785 | − | 2.11545i | −0.971983 | − | 0.235050i | ||||
\(10\) | −4.58730 | − | 5.38114i | −0.458730 | − | 0.538114i | ||||
\(11\) | 6.20051 | − | 3.57986i | 0.563682 | − | 0.325442i | −0.190940 | − | 0.981602i | \(-0.561153\pi\) |
0.754622 | + | 0.656160i | \(0.227820\pi\) | |||||||
\(12\) | 5.51470 | − | 2.36391i | 0.459558 | − | 0.196993i | ||||
\(13\) | − | 7.04213i | − | 0.541703i | −0.962621 | − | 0.270851i | \(-0.912695\pi\) | ||
0.962621 | − | 0.270851i | \(-0.0873052\pi\) | |||||||
\(14\) | 4.94018 | − | 8.57873i | 0.352870 | − | 0.612766i | ||||
\(15\) | −13.4414 | − | 6.65792i | −0.896096 | − | 0.443861i | ||||
\(16\) | −2.00000 | + | 3.46410i | −0.125000 | + | 0.216506i | ||||
\(17\) | 1.21404 | + | 2.10278i | 0.0714142 | + | 0.123693i | 0.899521 | − | 0.436877i | \(-0.143915\pi\) |
−0.828107 | + | 0.560570i | \(0.810582\pi\) | |||||||
\(18\) | 8.77655 | − | 9.21803i | 0.487586 | − | 0.512113i | ||||
\(19\) | −12.0616 | + | 20.8913i | −0.634822 | + | 1.09954i | 0.351731 | + | 0.936101i | \(0.385593\pi\) |
−0.986553 | + | 0.163443i | \(0.947740\pi\) | |||||||
\(20\) | 9.83424 | − | 1.81323i | 0.491712 | − | 0.0906613i | ||||
\(21\) | 2.46224 | − | 20.8552i | 0.117249 | − | 0.993102i | ||||
\(22\) | 10.1254i | 0.460245i | ||||||||
\(23\) | 5.88121 | − | 10.1866i | 0.255705 | − | 0.442894i | −0.709382 | − | 0.704824i | \(-0.751026\pi\) |
0.965087 | + | 0.261931i | \(0.0843591\pi\) | |||||||
\(24\) | −1.00429 | + | 8.42564i | −0.0418456 | + | 0.351068i | ||||
\(25\) | −19.3994 | − | 15.7691i | −0.775976 | − | 0.630762i | ||||
\(26\) | 8.62482 | + | 4.97954i | 0.331724 | + | 0.191521i | ||||
\(27\) | 9.40786 | − | 25.3079i | 0.348439 | − | 0.937331i | ||||
\(28\) | 7.01352 | + | 12.1165i | 0.250483 | + | 0.432734i | ||||
\(29\) | − | 8.77636i | − | 0.302633i | −0.988485 | − | 0.151317i | \(-0.951649\pi\) | ||
0.988485 | − | 0.151317i | \(-0.0483513\pi\) | |||||||
\(30\) | 17.6588 | − | 11.7545i | 0.588626 | − | 0.391816i | ||||
\(31\) | −10.1062 | − | 17.5045i | −0.326007 | − | 0.564661i | 0.655709 | − | 0.755014i | \(-0.272370\pi\) |
−0.981716 | + | 0.190353i | \(0.939037\pi\) | |||||||
\(32\) | −2.82843 | − | 4.89898i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 8.46248 | + | 19.7419i | 0.256439 | + | 0.598239i | ||||
\(34\) | −3.43383 | −0.100995 | ||||||||
\(35\) | 11.6771 | − | 32.9946i | 0.333631 | − | 0.942704i | ||||
\(36\) | 5.08378 | + | 17.2672i | 0.141216 | + | 0.479644i | ||||
\(37\) | −48.2707 | − | 27.8691i | −1.30461 | − | 0.753219i | −0.323422 | − | 0.946255i | \(-0.604833\pi\) |
−0.981192 | + | 0.193036i | \(0.938167\pi\) | |||||||
\(38\) | −17.0577 | − | 29.5448i | −0.448887 | − | 0.777495i | ||||
\(39\) | 20.9779 | + | 2.50046i | 0.537895 | + | 0.0641143i | ||||
\(40\) | −4.73312 | + | 13.3266i | −0.118328 | + | 0.333164i | ||||
\(41\) | 52.4264i | 1.27869i | 0.768919 | + | 0.639347i | \(0.220795\pi\) | ||||
−0.768919 | + | 0.639347i | \(0.779205\pi\) | |||||||
\(42\) | 23.8012 | + | 17.7624i | 0.566695 | + | 0.422915i | ||||
\(43\) | 8.62872i | 0.200668i | 0.994954 | + | 0.100334i | \(0.0319911\pi\) | ||||
−0.994954 | + | 0.100334i | \(0.968009\pi\) | |||||||
\(44\) | −12.4010 | − | 7.15973i | −0.281841 | − | 0.162721i | ||||
\(45\) | 24.6060 | − | 37.6768i | 0.546800 | − | 0.837263i | ||||
\(46\) | 8.31729 | + | 14.4060i | 0.180811 | + | 0.313173i | ||||
\(47\) | −44.3039 | + | 76.7366i | −0.942636 | + | 1.63269i | −0.182220 | + | 0.983258i | \(0.558328\pi\) |
−0.760416 | + | 0.649436i | \(0.775005\pi\) | |||||||
\(48\) | −9.60912 | − | 7.18783i | −0.200190 | − | 0.149746i | ||||
\(49\) | 48.9999 | − | 0.109306i | 0.999998 | − | 0.00223074i | ||||
\(50\) | 33.0305 | − | 12.6089i | 0.660610 | − | 0.252178i | ||||
\(51\) | −6.69507 | + | 2.86989i | −0.131276 | + | 0.0562723i | ||||
\(52\) | −12.1973 | + | 7.04213i | −0.234564 | + | 0.135426i | ||||
\(53\) | −9.78573 | − | 16.9494i | −0.184636 | − | 0.319800i | 0.758818 | − | 0.651303i | \(-0.225777\pi\) |
−0.943454 | + | 0.331504i | \(0.892444\pi\) | |||||||
\(54\) | 24.3434 | + | 29.4177i | 0.450804 | + | 0.544771i | ||||
\(55\) | 6.49110 | + | 35.2052i | 0.118020 | + | 0.640095i | ||||
\(56\) | −19.7990 | + | 0.0220832i | −0.353553 | + | 0.000394343i | ||||
\(57\) | −57.9507 | − | 43.3484i | −1.01668 | − | 0.760499i | ||||
\(58\) | 10.7488 | + | 6.20583i | 0.185324 | + | 0.106997i | ||||
\(59\) | −72.4908 | + | 41.8526i | −1.22866 | + | 0.709366i | −0.966749 | − | 0.255727i | \(-0.917685\pi\) |
−0.261908 | + | 0.965093i | \(0.584352\pi\) | |||||||
\(60\) | 1.90959 | + | 29.9392i | 0.0318264 | + | 0.498986i | ||||
\(61\) | 23.9426 | − | 41.4698i | 0.392502 | − | 0.679833i | −0.600277 | − | 0.799792i | \(-0.704943\pi\) |
0.992779 | + | 0.119959i | \(0.0382763\pi\) | |||||||
\(62\) | 28.5847 | 0.461044 | ||||||||
\(63\) | 61.2514 | + | 14.7399i | 0.972245 | + | 0.233966i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 33.1801 | + | 11.7844i | 0.510463 | + | 0.181298i | ||||
\(66\) | −30.1626 | − | 3.59523i | −0.457010 | − | 0.0544732i | ||||
\(67\) | −109.484 | + | 63.2103i | −1.63408 | + | 0.943438i | −0.651267 | + | 0.758849i | \(0.725762\pi\) |
−0.982816 | + | 0.184589i | \(0.940905\pi\) | |||||||
\(68\) | 2.42808 | − | 4.20556i | 0.0357071 | − | 0.0618465i | ||||
\(69\) | 28.2566 | + | 21.1366i | 0.409516 | + | 0.306327i | ||||
\(70\) | 32.1531 | + | 37.6322i | 0.459330 | + | 0.537602i | ||||
\(71\) | 125.735i | 1.77091i | 0.464723 | + | 0.885456i | \(0.346154\pi\) | ||||
−0.464723 | + | 0.885456i | \(0.653846\pi\) | |||||||
\(72\) | −24.7427 | − | 5.98340i | −0.343648 | − | 0.0831028i | ||||
\(73\) | −65.0363 | + | 37.5487i | −0.890908 | + | 0.514366i | −0.874239 | − | 0.485495i | \(-0.838639\pi\) |
−0.0166684 | + | 0.999861i | \(0.505306\pi\) | |||||||
\(74\) | 68.2651 | − | 39.4129i | 0.922501 | − | 0.532606i | ||||
\(75\) | 53.8628 | − | 52.1900i | 0.718171 | − | 0.695867i | ||||
\(76\) | 48.2465 | 0.634822 | ||||||||
\(77\) | −43.3756 | + | 25.1074i | −0.563319 | + | 0.326071i | ||||
\(78\) | −17.8960 | + | 23.9245i | −0.229436 | + | 0.306724i | ||||
\(79\) | −4.09666 | + | 7.09562i | −0.0518565 | + | 0.0898180i | −0.890788 | − | 0.454418i | \(-0.849847\pi\) |
0.838932 | + | 0.544236i | \(0.183180\pi\) | |||||||
\(80\) | −12.9748 | − | 15.2202i | −0.162185 | − | 0.190252i | ||||
\(81\) | 72.0497 | + | 37.0113i | 0.889503 | + | 0.456930i | ||||
\(82\) | −64.2090 | − | 37.0711i | −0.783037 | − | 0.452086i | ||||
\(83\) | 135.272 | 1.62978 | 0.814892 | − | 0.579613i | \(-0.196796\pi\) | ||||
0.814892 | + | 0.579613i | \(0.196796\pi\) | |||||||
\(84\) | −38.5844 | + | 16.5904i | −0.459338 | + | 0.197505i | ||||
\(85\) | −11.9392 | + | 2.20133i | −0.140461 | + | 0.0258980i | ||||
\(86\) | −10.5680 | − | 6.10143i | −0.122883 | − | 0.0709468i | ||||
\(87\) | 26.1440 | + | 3.11623i | 0.300506 | + | 0.0358188i | ||||
\(88\) | 17.5377 | − | 10.1254i | 0.199292 | − | 0.115061i | ||||
\(89\) | −13.4925 | − | 7.78991i | −0.151601 | − | 0.0875270i | 0.422280 | − | 0.906465i | \(-0.361230\pi\) |
−0.573882 | + | 0.818938i | \(0.694563\pi\) | |||||||
\(90\) | 28.7454 | + | 56.7776i | 0.319394 | + | 0.630863i | ||||
\(91\) | 0.0549820 | + | 49.2949i | 0.000604198 | + | 0.541702i | ||||
\(92\) | −23.5248 | −0.255705 | ||||||||
\(93\) | 55.7328 | − | 23.8902i | 0.599277 | − | 0.256884i | ||||
\(94\) | −62.6552 | − | 108.522i | −0.666545 | − | 1.15449i | ||||
\(95\) | −78.2487 | − | 91.7899i | −0.823671 | − | 0.966210i | ||||
\(96\) | 15.5979 | − | 6.68615i | 0.162478 | − | 0.0696474i | ||||
\(97\) | − | 122.825i | − | 1.26624i | −0.774055 | − | 0.633119i | \(-0.781774\pi\) | ||
0.774055 | − | 0.633119i | \(-0.218226\pi\) | |||||||
\(98\) | −34.5143 | + | 60.0896i | −0.352186 | + | 0.613160i | ||||
\(99\) | −61.8141 | + | 18.1992i | −0.624385 | + | 0.183831i | ||||
\(100\) | −7.91341 | + | 49.3698i | −0.0791341 | + | 0.493698i | ||||
\(101\) | 48.7132 | − | 28.1246i | 0.482309 | − | 0.278461i | −0.239069 | − | 0.971003i | \(-0.576842\pi\) |
0.721378 | + | 0.692541i | \(0.243509\pi\) | |||||||
\(102\) | 1.21925 | − | 10.2291i | 0.0119535 | − | 0.100285i | ||||
\(103\) | 130.134 | + | 75.1327i | 1.26343 | + | 0.729443i | 0.973737 | − | 0.227676i | \(-0.0731126\pi\) |
0.289696 | + | 0.957119i | \(0.406446\pi\) | |||||||
\(104\) | − | 19.9182i | − | 0.191521i | ||||||
\(105\) | 94.1420 | + | 46.5004i | 0.896590 | + | 0.442861i | ||||
\(106\) | 27.6782 | 0.261115 | ||||||||
\(107\) | 2.52865 | − | 4.37975i | 0.0236322 | − | 0.0409322i | −0.853967 | − | 0.520326i | \(-0.825810\pi\) |
0.877600 | + | 0.479394i | \(0.159144\pi\) | |||||||
\(108\) | −53.2425 | + | 9.01305i | −0.492986 | + | 0.0834542i | ||||
\(109\) | −10.1409 | − | 17.5645i | −0.0930357 | − | 0.161143i | 0.815751 | − | 0.578403i | \(-0.196324\pi\) |
−0.908787 | + | 0.417260i | \(0.862990\pi\) | |||||||
\(110\) | −47.7073 | − | 16.9439i | −0.433703 | − | 0.154036i | ||||
\(111\) | 100.159 | − | 133.899i | 0.902335 | − | 1.20629i | ||||
\(112\) | 13.9729 | − | 24.2643i | 0.124758 | − | 0.216646i | ||||
\(113\) | −70.8350 | −0.626858 | −0.313429 | − | 0.949612i | \(-0.601478\pi\) | ||||
−0.313429 | + | 0.949612i | \(0.601478\pi\) | |||||||
\(114\) | 94.0681 | − | 40.3229i | 0.825159 | − | 0.353710i | ||||
\(115\) | 38.1539 | + | 44.7565i | 0.331773 | + | 0.389187i | ||||
\(116\) | −15.2011 | + | 8.77636i | −0.131044 | + | 0.0756583i | ||||
\(117\) | −14.8973 | + | 61.6035i | −0.127327 | + | 0.526526i | ||||
\(118\) | − | 118.377i | − | 1.00319i | ||||||
\(119\) | −8.51470 | − | 14.7100i | −0.0715521 | − | 0.123613i | ||||
\(120\) | −38.0181 | − | 18.8314i | −0.316818 | − | 0.156929i | ||||
\(121\) | −34.8691 | + | 60.3951i | −0.288175 | + | 0.499133i | ||||
\(122\) | 33.8600 | + | 58.6472i | 0.277541 | + | 0.480715i | ||||
\(123\) | −156.174 | − | 18.6151i | −1.26971 | − | 0.151342i | ||||
\(124\) | −20.2124 | + | 35.0090i | −0.163004 | + | 0.282330i | ||||
\(125\) | 106.762 | − | 65.0152i | 0.854092 | − | 0.520122i | ||||
\(126\) | −61.3639 | + | 64.5947i | −0.487015 | + | 0.512656i | ||||
\(127\) | 60.6241i | 0.477355i | 0.971099 | + | 0.238678i | \(0.0767140\pi\) | ||||
−0.971099 | + | 0.238678i | \(0.923286\pi\) | |||||||
\(128\) | −5.65685 | + | 9.79796i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −25.7042 | − | 3.06381i | −0.199257 | − | 0.0237505i | ||||
\(130\) | −37.8947 | + | 32.3044i | −0.291498 | + | 0.248495i | ||||
\(131\) | −82.7314 | − | 47.7650i | −0.631537 | − | 0.364618i | 0.149810 | − | 0.988715i | \(-0.452134\pi\) |
−0.781347 | + | 0.624097i | \(0.785467\pi\) | |||||||
\(132\) | 25.7315 | − | 34.3993i | 0.194935 | − | 0.260601i | ||||
\(133\) | 84.2681 | − | 146.333i | 0.633595 | − | 1.10025i | ||||
\(134\) | − | 178.786i | − | 1.33422i | ||||||
\(135\) | 103.499 | + | 86.6772i | 0.766660 | + | 0.642053i | ||||
\(136\) | 3.43383 | + | 5.94756i | 0.0252487 | + | 0.0437321i | ||||
\(137\) | −54.1084 | − | 93.7185i | −0.394952 | − | 0.684077i | 0.598143 | − | 0.801389i | \(-0.295905\pi\) |
−0.993095 | + | 0.117313i | \(0.962572\pi\) | |||||||
\(138\) | −45.8674 | + | 19.6613i | −0.332372 | + | 0.142473i | ||||
\(139\) | −113.900 | −0.819424 | −0.409712 | − | 0.912215i | \(-0.634371\pi\) | ||||
−0.409712 | + | 0.912215i | \(0.634371\pi\) | |||||||
\(140\) | −68.8255 | + | 12.7694i | −0.491610 | + | 0.0912097i | ||||
\(141\) | −212.861 | − | 159.224i | −1.50965 | − | 1.12925i | ||||
\(142\) | −153.993 | − | 88.9079i | −1.08446 | − | 0.626112i | ||||
\(143\) | −25.2099 | − | 43.6648i | −0.176293 | − | 0.305348i | ||||
\(144\) | 24.8238 | − | 26.0725i | 0.172388 | − | 0.181059i | ||||
\(145\) | 41.3512 | + | 14.6864i | 0.285181 | + | 0.101286i | ||||
\(146\) | − | 106.204i | − | 0.727423i | ||||||
\(147\) | −17.0728 | + | 146.005i | −0.116142 | + | 0.993233i | ||||
\(148\) | 111.476i | 0.753219i | ||||||||
\(149\) | −28.0173 | − | 16.1758i | −0.188036 | − | 0.108562i | 0.403027 | − | 0.915188i | \(-0.367958\pi\) |
−0.591063 | + | 0.806626i | \(0.701291\pi\) | |||||||
\(150\) | 25.8327 | + | 102.872i | 0.172218 | + | 0.685814i | ||||
\(151\) | −107.224 | − | 185.718i | −0.710093 | − | 1.22992i | −0.964822 | − | 0.262905i | \(-0.915319\pi\) |
0.254728 | − | 0.967013i | \(-0.418014\pi\) | |||||||
\(152\) | −34.1154 | + | 59.0896i | −0.224443 | + | 0.388747i | ||||
\(153\) | −6.17191 | − | 20.9631i | −0.0403393 | − | 0.137013i | ||||
\(154\) | −0.0790548 | − | 70.8777i | −0.000513343 | − | 0.460245i | ||||
\(155\) | 99.3869 | − | 18.3249i | 0.641206 | − | 0.118225i | ||||
\(156\) | −16.6470 | − | 38.8353i | −0.106711 | − | 0.248944i | ||||
\(157\) | 107.192 | − | 61.8875i | 0.682753 | − | 0.394188i | −0.118138 | − | 0.992997i | \(-0.537693\pi\) |
0.800892 | + | 0.598809i | \(0.204359\pi\) | |||||||
\(158\) | −5.79355 | − | 10.0347i | −0.0366681 | − | 0.0635109i | ||||
\(159\) | 53.9654 | − | 23.1326i | 0.339405 | − | 0.145488i | ||||
\(160\) | 27.8154 | − | 5.12858i | 0.173846 | − | 0.0320536i | ||||
\(161\) | −41.0889 | + | 71.3518i | −0.255211 | + | 0.443179i | ||||
\(162\) | −96.2763 | + | 62.0716i | −0.594298 | + | 0.383158i | ||||
\(163\) | 153.419 | + | 88.5762i | 0.941218 | + | 0.543412i | 0.890342 | − | 0.455293i | \(-0.150465\pi\) |
0.0508759 | + | 0.998705i | \(0.483799\pi\) | |||||||
\(164\) | 90.8053 | − | 52.4264i | 0.553691 | − | 0.319673i | ||||
\(165\) | −107.178 | + | 6.83606i | −0.649565 | + | 0.0414307i | ||||
\(166\) | −95.6518 | + | 165.674i | −0.576216 | + | 0.998035i | ||||
\(167\) | 173.505 | 1.03895 | 0.519475 | − | 0.854486i | \(-0.326128\pi\) | ||||
0.519475 | + | 0.854486i | \(0.326128\pi\) | |||||||
\(168\) | 6.96426 | − | 58.9873i | 0.0414540 | − | 0.351115i | ||||
\(169\) | 119.408 | 0.706558 | ||||||||
\(170\) | 5.74620 | − | 16.1790i | 0.0338012 | − | 0.0951706i | ||||
\(171\) | 149.708 | − | 157.238i | 0.875484 | − | 0.919523i | ||||
\(172\) | 14.9454 | − | 8.62872i | 0.0868917 | − | 0.0501670i | ||||
\(173\) | −9.49855 | + | 16.4520i | −0.0549049 | + | 0.0950981i | −0.892172 | − | 0.451697i | \(-0.850819\pi\) |
0.837267 | + | 0.546795i | \(0.184152\pi\) | |||||||
\(174\) | −22.3032 | + | 29.8162i | −0.128179 | + | 0.171358i | ||||
\(175\) | 135.919 | + | 110.232i | 0.776679 | + | 0.629896i | ||||
\(176\) | 28.6389i | 0.162721i | ||||||||
\(177\) | −98.9358 | − | 230.804i | −0.558959 | − | 1.30398i | ||||
\(178\) | 19.0813 | − | 11.0166i | 0.107198 | − | 0.0618910i | ||||
\(179\) | −109.039 | + | 62.9536i | −0.609155 | + | 0.351696i | −0.772635 | − | 0.634851i | \(-0.781062\pi\) |
0.163480 | + | 0.986547i | \(0.447728\pi\) | |||||||
\(180\) | −89.8642 | − | 4.94204i | −0.499246 | − | 0.0274558i | ||||
\(181\) | −138.785 | −0.766771 | −0.383385 | − | 0.923588i | \(-0.625242\pi\) | ||||
−0.383385 | + | 0.923588i | \(0.625242\pi\) | |||||||
\(182\) | −60.4126 | − | 34.7894i | −0.331937 | − | 0.191151i | ||||
\(183\) | 115.034 | + | 86.0477i | 0.628599 | + | 0.470206i | ||||
\(184\) | 16.6346 | − | 28.8119i | 0.0904053 | − | 0.156587i | ||||
\(185\) | 212.086 | − | 180.799i | 1.14641 | − | 0.977289i | ||||
\(186\) | −10.1496 | + | 85.1513i | −0.0545678 | + | 0.457803i | ||||
\(187\) | 15.0553 | + | 8.69220i | 0.0805098 | + | 0.0464824i | ||||
\(188\) | 177.216 | 0.942636 | ||||||||
\(189\) | −65.6574 | + | 177.229i | −0.347394 | + | 0.937719i | ||||
\(190\) | 167.749 | − | 30.9295i | 0.882892 | − | 0.162787i | ||||
\(191\) | 224.530 | + | 129.633i | 1.17555 | + | 0.678704i | 0.954981 | − | 0.296667i | \(-0.0958752\pi\) |
0.220569 | + | 0.975371i | \(0.429208\pi\) | |||||||
\(192\) | −2.84057 | + | 23.8313i | −0.0147946 | + | 0.124121i | ||||
\(193\) | 140.975 | − | 81.3921i | 0.730442 | − | 0.421721i | −0.0881421 | − | 0.996108i | \(-0.528093\pi\) |
0.818584 | + | 0.574387i | \(0.194760\pi\) | |||||||
\(194\) | 150.429 | + | 86.8504i | 0.775409 | + | 0.447683i | ||||
\(195\) | −46.8859 | + | 94.6564i | −0.240441 | + | 0.485417i | ||||
\(196\) | −49.1892 | − | 84.7610i | −0.250965 | − | 0.432454i | ||||
\(197\) | −230.629 | −1.17071 | −0.585354 | − | 0.810778i | \(-0.699044\pi\) | ||||
−0.585354 | + | 0.810778i | \(0.699044\pi\) | |||||||
\(198\) | 21.4198 | − | 88.5753i | 0.108181 | − | 0.447350i | ||||
\(199\) | 138.508 | + | 239.904i | 0.696022 | + | 1.20555i | 0.969835 | + | 0.243763i | \(0.0783818\pi\) |
−0.273813 | + | 0.961783i | \(0.588285\pi\) | |||||||
\(200\) | −54.8698 | − | 44.6016i | −0.274349 | − | 0.223008i | ||||
\(201\) | −149.424 | − | 348.586i | −0.743401 | − | 1.73426i | ||||
\(202\) | 79.5483i | 0.393804i | ||||||||
\(203\) | 0.0685222 | + | 61.4345i | 0.000337548 | + | 0.302633i | ||||
\(204\) | 11.6659 | + | 8.72632i | 0.0571856 | + | 0.0427761i | ||||
\(205\) | −247.015 | − | 87.7309i | −1.20495 | − | 0.427956i | ||||
\(206\) | −184.037 | + | 106.254i | −0.893382 | + | 0.515794i | ||||
\(207\) | −72.9971 | + | 76.6690i | −0.352643 | + | 0.370382i | ||||
\(208\) | 24.3947 | + | 14.0843i | 0.117282 | + | 0.0677128i | ||||
\(209\) | 172.716i | 0.826391i | ||||||||
\(210\) | −123.520 | + | 82.4191i | −0.588189 | + | 0.392472i | ||||
\(211\) | 85.1155 | 0.403391 | 0.201695 | − | 0.979448i | \(-0.435355\pi\) | ||||
0.201695 | + | 0.979448i | \(0.435355\pi\) | |||||||
\(212\) | −19.5715 | + | 33.8988i | −0.0923182 | + | 0.159900i | ||||
\(213\) | −374.553 | − | 44.6448i | −1.75846 | − | 0.209600i | ||||
\(214\) | 3.57605 | + | 6.19390i | 0.0167105 | + | 0.0289434i | ||||
\(215\) | −40.6556 | − | 14.4394i | −0.189096 | − | 0.0671599i | ||||
\(216\) | 26.6095 | − | 71.5817i | 0.123192 | − | 0.331397i | ||||
\(217\) | 70.8801 | + | 122.452i | 0.326637 | + | 0.564297i | ||||
\(218\) | 28.6828 | 0.131572 | ||||||||
\(219\) | −88.7618 | − | 207.070i | −0.405305 | − | 0.945524i | ||||
\(220\) | 54.4862 | − | 46.4482i | 0.247664 | − | 0.211128i | ||||
\(221\) | 14.8081 | − | 8.54944i | 0.0670048 | − | 0.0386852i | ||||
\(222\) | 93.1685 | + | 217.350i | 0.419678 | + | 0.979055i | ||||
\(223\) | − | 355.525i | − | 1.59428i | −0.603793 | − | 0.797141i | \(-0.706344\pi\) | ||
0.603793 | − | 0.797141i | \(-0.293656\pi\) | |||||||
\(224\) | 19.8372 | + | 34.2708i | 0.0885590 | + | 0.152994i | ||||
\(225\) | 136.344 | + | 178.984i | 0.605975 | + | 0.795484i | ||||
\(226\) | 50.0879 | − | 86.7548i | 0.221628 | − | 0.383871i | ||||
\(227\) | 161.450 | + | 279.640i | 0.711235 | + | 1.23190i | 0.964394 | + | 0.264470i | \(0.0851971\pi\) |
−0.253159 | + | 0.967425i | \(0.581470\pi\) | |||||||
\(228\) | −17.1309 | + | 143.722i | −0.0751357 | + | 0.630360i | ||||
\(229\) | −73.9973 | + | 128.167i | −0.323132 | + | 0.559682i | −0.981133 | − | 0.193336i | \(-0.938069\pi\) |
0.658000 | + | 0.753018i | \(0.271403\pi\) | |||||||
\(230\) | −81.7942 | + | 15.0811i | −0.355627 | + | 0.0655701i | ||||
\(231\) | −59.3915 | − | 138.127i | −0.257106 | − | 0.597952i | ||||
\(232\) | − | 24.8233i | − | 0.106997i | ||||||
\(233\) | −128.110 | + | 221.893i | −0.549829 | + | 0.952332i | 0.448457 | + | 0.893804i | \(0.351974\pi\) |
−0.998286 | + | 0.0585271i | \(0.981360\pi\) | |||||||
\(234\) | −64.9146 | − | 61.8057i | −0.277413 | − | 0.264127i | ||||
\(235\) | −287.418 | − | 337.157i | −1.22306 | − | 1.43471i | ||||
\(236\) | 144.982 | + | 83.7051i | 0.614329 | + | 0.354683i | ||||
\(237\) | −19.6826 | − | 14.7231i | −0.0830491 | − | 0.0621226i | ||||
\(238\) | 24.0368 | − | 0.0268099i | 0.100995 | − | 0.000112647i | ||||
\(239\) | 85.0303i | 0.355775i | 0.984051 | + | 0.177888i | \(0.0569263\pi\) | ||||
−0.984051 | + | 0.177888i | \(0.943074\pi\) | |||||||
\(240\) | 49.9466 | − | 33.2467i | 0.208111 | − | 0.138528i | ||||
\(241\) | 184.501 | + | 319.566i | 0.765566 | + | 1.32600i | 0.939947 | + | 0.341321i | \(0.110874\pi\) |
−0.174381 | + | 0.984678i | \(0.555792\pi\) | |||||||
\(242\) | −49.3124 | − | 85.4116i | −0.203770 | − | 0.352940i | ||||
\(243\) | −135.836 | + | 201.488i | −0.558997 | + | 0.829170i | ||||
\(244\) | −95.7705 | −0.392502 | ||||||||
\(245\) | −81.4818 | + | 231.053i | −0.332579 | + | 0.943075i | ||||
\(246\) | 133.230 | − | 178.110i | 0.541587 | − | 0.724025i | ||||
\(247\) | 147.120 | + | 84.9395i | 0.595626 | + | 0.343885i | ||||
\(248\) | −28.5847 | − | 49.5102i | −0.115261 | − | 0.199638i | ||||
\(249\) | −48.0312 | + | 402.964i | −0.192896 | + | 1.61833i | ||||
\(250\) | 4.13525 | + | 176.728i | 0.0165410 | + | 0.706913i | ||||
\(251\) | 423.245i | 1.68623i | 0.537731 | + | 0.843117i | \(0.319282\pi\) | ||||
−0.537731 | + | 0.843117i | \(0.680718\pi\) | |||||||
\(252\) | −35.7212 | − | 120.830i | −0.141751 | − | 0.479486i | ||||
\(253\) | − | 84.2158i | − | 0.332869i | ||||||
\(254\) | −74.2491 | − | 42.8677i | −0.292319 | − | 0.168771i | ||||
\(255\) | −2.31832 | − | 36.3474i | −0.00909144 | − | 0.142539i | ||||
\(256\) | −8.00000 | − | 13.8564i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 85.7431 | − | 148.511i | 0.333631 | − | 0.577865i | −0.649590 | − | 0.760285i | \(-0.725059\pi\) |
0.983221 | + | 0.182419i | \(0.0583928\pi\) | |||||||
\(258\) | 21.9280 | − | 29.3147i | 0.0849923 | − | 0.113623i | ||||
\(259\) | 338.112 | + | 194.707i | 1.30545 | + | 0.751764i | ||||
\(260\) | −12.7690 | − | 69.2540i | −0.0491115 | − | 0.266362i | ||||
\(261\) | −18.5660 | + | 76.7743i | −0.0711340 | + | 0.294154i | ||||
\(262\) | 117.000 | − | 67.5499i | 0.446564 | − | 0.257824i | ||||
\(263\) | −175.037 | − | 303.173i | −0.665539 | − | 1.15275i | −0.979139 | − | 0.203193i | \(-0.934868\pi\) |
0.313599 | − | 0.949555i | \(-0.398465\pi\) | |||||||
\(264\) | 23.9355 | + | 55.8385i | 0.0906648 | + | 0.211509i | ||||
\(265\) | 96.2352 | − | 17.7437i | 0.363152 | − | 0.0669575i | ||||
\(266\) | 119.635 | + | 206.680i | 0.449754 | + | 0.776994i | ||||
\(267\) | 27.9963 | − | 37.4271i | 0.104855 | − | 0.140176i | ||||
\(268\) | 218.967 | + | 126.421i | 0.817041 | + | 0.471719i | ||||
\(269\) | −27.4482 | + | 15.8472i | −0.102038 | + | 0.0589117i | −0.550151 | − | 0.835065i | \(-0.685430\pi\) |
0.448113 | + | 0.893977i | \(0.352096\pi\) | |||||||
\(270\) | −179.342 | + | 65.4700i | −0.664231 | + | 0.242482i | ||||
\(271\) | 85.2758 | − | 147.702i | 0.314671 | − | 0.545026i | −0.664697 | − | 0.747113i | \(-0.731439\pi\) |
0.979367 | + | 0.202087i | \(0.0647725\pi\) | |||||||
\(272\) | −9.71233 | −0.0357071 | ||||||||
\(273\) | −146.865 | − | 17.3394i | −0.537966 | − | 0.0635144i | ||||
\(274\) | 153.042 | 0.558546 | ||||||||
\(275\) | −176.737 | − | 28.3289i | −0.642681 | − | 0.103014i | ||||
\(276\) | 8.35300 | − | 70.0785i | 0.0302645 | − | 0.253908i | ||||
\(277\) | 297.279 | − | 171.634i | 1.07321 | − | 0.619617i | 0.144152 | − | 0.989556i | \(-0.453955\pi\) |
0.929056 | + | 0.369938i | \(0.120621\pi\) | |||||||
\(278\) | 80.5394 | − | 139.498i | 0.289710 | − | 0.501793i | ||||
\(279\) | 51.3778 | + | 174.506i | 0.184150 | + | 0.625469i | ||||
\(280\) | 33.0277 | − | 93.3229i | 0.117956 | − | 0.333296i | ||||
\(281\) | − | 13.8269i | − | 0.0492062i | −0.999697 | − | 0.0246031i | \(-0.992168\pi\) | ||
0.999697 | − | 0.0246031i | \(-0.00783220\pi\) | |||||||
\(282\) | 345.525 | − | 148.111i | 1.22526 | − | 0.525217i | ||||
\(283\) | −359.947 | + | 207.815i | −1.27190 | + | 0.734330i | −0.975345 | − | 0.220687i | \(-0.929170\pi\) |
−0.296552 | + | 0.955017i | \(0.595837\pi\) | |||||||
\(284\) | 217.779 | − | 125.735i | 0.766828 | − | 0.442728i | ||||
\(285\) | 301.218 | − | 200.504i | 1.05691 | − | 0.703524i | ||||
\(286\) | 71.3043 | 0.249316 | ||||||||
\(287\) | −0.409324 | − | 366.985i | −0.00142622 | − | 1.27869i | ||||
\(288\) | 14.3791 | + | 48.8389i | 0.0499274 | + | 0.169580i | ||||
\(289\) | 141.552 | − | 245.176i | 0.489800 | − | 0.848359i | ||||
\(290\) | −47.2269 | + | 40.2598i | −0.162851 | + | 0.138827i | ||||
\(291\) | 365.885 | + | 43.6116i | 1.25734 | + | 0.149868i | ||||
\(292\) | 130.073 | + | 75.0974i | 0.445454 | + | 0.257183i | ||||
\(293\) | −113.109 | −0.386039 | −0.193019 | − | 0.981195i | \(-0.561828\pi\) | ||||
−0.193019 | + | 0.981195i | \(0.561828\pi\) | |||||||
\(294\) | −166.747 | − | 124.151i | −0.567166 | − | 0.422283i | ||||
\(295\) | −75.8882 | − | 411.588i | −0.257248 | − | 1.39521i | ||||
\(296\) | −136.530 | − | 78.8257i | −0.461251 | − | 0.266303i | ||||
\(297\) | −32.2655 | − | 190.601i | −0.108638 | − | 0.641754i | ||||
\(298\) | 39.6225 | − | 22.8761i | 0.132961 | − | 0.0767653i | ||||
\(299\) | −71.7351 | − | 41.4163i | −0.239917 | − | 0.138516i | ||||
\(300\) | −144.259 | − | 41.1032i | −0.480862 | − | 0.137011i | ||||
\(301\) | −0.0673694 | − | 60.4010i | −0.000223819 | − | 0.200668i | ||||
\(302\) | 303.276 | 1.00422 | ||||||||
\(303\) | 66.4840 | + | 155.099i | 0.219419 | + | 0.511877i | ||||
\(304\) | −48.2465 | − | 83.5653i | −0.158705 | − | 0.274886i | ||||
\(305\) | 155.326 | + | 182.205i | 0.509265 | + | 0.597395i | ||||
\(306\) | 30.0386 | + | 7.26410i | 0.0981653 | + | 0.0237389i | ||||
\(307\) | 205.675i | 0.669952i | 0.942227 | + | 0.334976i | \(0.108728\pi\) | ||||
−0.942227 | + | 0.334976i | \(0.891272\pi\) | |||||||
\(308\) | 86.8630 | + | 50.0213i | 0.282023 | + | 0.162407i | ||||
\(309\) | −270.020 | + | 360.979i | −0.873852 | + | 1.16822i | ||||
\(310\) | −47.8339 | + | 134.681i | −0.154303 | + | 0.434456i | ||||
\(311\) | −155.578 | + | 89.8230i | −0.500251 | + | 0.288820i | −0.728817 | − | 0.684708i | \(-0.759930\pi\) |
0.228566 | + | 0.973528i | \(0.426596\pi\) | |||||||
\(312\) | 59.3345 | + | 7.07237i | 0.190175 | + | 0.0226678i | ||||
\(313\) | −207.288 | − | 119.678i | −0.662261 | − | 0.382357i | 0.130877 | − | 0.991399i | \(-0.458221\pi\) |
−0.793138 | + | 0.609042i | \(0.791554\pi\) | |||||||
\(314\) | 175.044i | 0.557466i | ||||||||
\(315\) | −171.948 | + | 263.930i | −0.545866 | + | 0.837872i | ||||
\(316\) | 16.3866 | 0.0518565 | ||||||||
\(317\) | 167.654 | − | 290.385i | 0.528876 | − | 0.916040i | −0.470557 | − | 0.882369i | \(-0.655947\pi\) |
0.999433 | − | 0.0336702i | \(-0.0107196\pi\) | |||||||
\(318\) | −9.82774 | + | 82.4510i | −0.0309049 | + | 0.259280i | ||||
\(319\) | −31.4182 | − | 54.4179i | −0.0984896 | − | 0.170589i | ||||
\(320\) | −13.3873 | + | 37.6932i | −0.0418352 | + | 0.117791i | ||||
\(321\) | 12.1490 | + | 9.08774i | 0.0378475 | + | 0.0283107i | ||||
\(322\) | −58.3335 | − | 100.777i | −0.181160 | − | 0.312971i | ||||
\(323\) | −58.5732 | −0.181341 | ||||||||
\(324\) | −7.94422 | − | 161.805i | −0.0245192 | − | 0.499398i | ||||
\(325\) | −111.048 | + | 136.613i | −0.341686 | + | 0.420348i | ||||
\(326\) | −216.967 | + | 125.266i | −0.665541 | + | 0.384251i | ||||
\(327\) | 55.9240 | − | 23.9722i | 0.171021 | − | 0.0733094i | ||||
\(328\) | 148.284i | 0.452086i | ||||||||
\(329\) | 309.528 | − | 537.502i | 0.940815 | − | 1.63374i | ||||
\(330\) | 67.4140 | − | 136.100i | 0.204285 | − | 0.412423i | ||||
\(331\) | 38.0065 | − | 65.8292i | 0.114823 | − | 0.198880i | −0.802886 | − | 0.596133i | \(-0.796703\pi\) |
0.917709 | + | 0.397253i | \(0.130036\pi\) | |||||||
\(332\) | −135.272 | − | 234.298i | −0.407446 | − | 0.705717i | ||||
\(333\) | 363.309 | + | 345.909i | 1.09102 | + | 1.03877i | ||||
\(334\) | −122.686 | + | 212.499i | −0.367324 | + | 0.636224i | ||||
\(335\) | −114.615 | − | 621.626i | −0.342133 | − | 1.85560i | ||||
\(336\) | 67.3199 | + | 50.2398i | 0.200357 | + | 0.149523i | ||||
\(337\) | 644.608i | 1.91278i | 0.292085 | + | 0.956392i | \(0.405651\pi\) | ||||
−0.292085 | + | 0.956392i | \(0.594349\pi\) | |||||||
\(338\) | −84.4345 | + | 146.245i | −0.249806 | + | 0.432677i | ||||
\(339\) | 25.1515 | − | 211.011i | 0.0741931 | − | 0.622452i | ||||
\(340\) | 15.7520 | + | 18.4779i | 0.0463294 | + | 0.0543468i | ||||
\(341\) | −125.327 | − | 72.3578i | −0.367529 | − | 0.212193i | ||||
\(342\) | 86.7175 | + | 294.538i | 0.253560 | + | 0.861223i | ||||
\(343\) | −342.998 | + | 1.14771i | −0.999994 | + | 0.00334610i | ||||
\(344\) | 24.4057i | 0.0709468i | ||||||||
\(345\) | −146.873 | + | 97.7653i | −0.425719 | + | 0.283378i | ||||
\(346\) | −13.4330 | − | 23.2666i | −0.0388237 | − | 0.0672445i | ||||
\(347\) | 224.279 | + | 388.462i | 0.646336 | + | 1.11949i | 0.983991 | + | 0.178217i | \(0.0570328\pi\) |
−0.337656 | + | 0.941270i | \(0.609634\pi\) | |||||||
\(348\) | −20.7465 | − | 48.3990i | −0.0596165 | − | 0.139078i | ||||
\(349\) | −606.769 | −1.73859 | −0.869296 | − | 0.494292i | \(-0.835427\pi\) | ||||
−0.869296 | + | 0.494292i | \(0.835427\pi\) | |||||||
\(350\) | −231.115 | + | 88.5202i | −0.660329 | + | 0.252915i | ||||
\(351\) | −178.222 | − | 66.2514i | −0.507755 | − | 0.188750i | ||||
\(352\) | −35.0754 | − | 20.2508i | −0.0996459 | − | 0.0575306i | ||||
\(353\) | 214.130 | + | 370.884i | 0.606601 | + | 1.05066i | 0.991796 | + | 0.127828i | \(0.0408006\pi\) |
−0.385196 | + | 0.922835i | \(0.625866\pi\) | |||||||
\(354\) | 352.635 | + | 42.0323i | 0.996143 | + | 0.118735i | ||||
\(355\) | −592.419 | − | 210.406i | −1.66879 | − | 0.592692i | ||||
\(356\) | 31.1596i | 0.0875270i | ||||||||
\(357\) | 46.8431 | − | 20.1415i | 0.131213 | − | 0.0564187i | ||||
\(358\) | − | 178.060i | − | 0.497373i | ||||||
\(359\) | −607.369 | − | 350.664i | −1.69183 | − | 0.976781i | −0.953037 | − | 0.302854i | \(-0.902061\pi\) |
−0.738798 | − | 0.673927i | \(-0.764606\pi\) | |||||||
\(360\) | 69.5963 | − | 106.566i | 0.193323 | − | 0.296017i | ||||
\(361\) | −110.465 | − | 191.331i | −0.305998 | − | 0.530003i | ||||
\(362\) | 98.1362 | − | 169.977i | 0.271094 | − | 0.469549i | ||||
\(363\) | −167.531 | − | 125.317i | −0.461517 | − | 0.345225i | ||||
\(364\) | 85.3263 | − | 49.3901i | 0.234413 | − | 0.135687i | ||||
\(365\) | −68.0843 | − | 369.263i | −0.186532 | − | 1.01168i | ||||
\(366\) | −186.728 | + | 80.0420i | −0.510185 | + | 0.218694i | ||||
\(367\) | 378.737 | − | 218.664i | 1.03198 | − | 0.595815i | 0.114430 | − | 0.993431i | \(-0.463496\pi\) |
0.917552 | + | 0.397616i | \(0.130162\pi\) | |||||||
\(368\) | 23.5248 | + | 40.7462i | 0.0639262 | + | 0.110723i | ||||
\(369\) | 110.906 | − | 458.619i | 0.300557 | − | 1.24287i | ||||
\(370\) | 71.4644 | + | 387.595i | 0.193147 | + | 1.04756i | ||||
\(371\) | 68.6324 | + | 118.569i | 0.184993 | + | 0.319594i | ||||
\(372\) | −97.1118 | − | 72.6418i | −0.261053 | − | 0.195274i | ||||
\(373\) | −179.844 | − | 103.833i | −0.482156 | − | 0.278373i | 0.239158 | − | 0.970981i | \(-0.423129\pi\) |
−0.721315 | + | 0.692607i | \(0.756462\pi\) | |||||||
\(374\) | −21.2915 | + | 12.2926i | −0.0569291 | + | 0.0328680i | ||||
\(375\) | 155.767 | + | 341.118i | 0.415378 | + | 0.909649i | ||||
\(376\) | −125.310 | + | 217.044i | −0.333272 | + | 0.577244i | ||||
\(377\) | −61.8043 | −0.163937 | ||||||||
\(378\) | −170.633 | − | 205.733i | −0.451411 | − | 0.544268i | ||||
\(379\) | −426.364 | −1.12497 | −0.562486 | − | 0.826807i | \(-0.690155\pi\) | ||||
−0.562486 | + | 0.826807i | \(0.690155\pi\) | |||||||
\(380\) | −80.7361 | + | 227.321i | −0.212463 | + | 0.598212i | ||||
\(381\) | −180.594 | − | 21.5259i | −0.474000 | − | 0.0564984i | ||||
\(382\) | −317.534 | + | 183.328i | −0.831240 | + | 0.479916i | ||||
\(383\) | 92.8852 | − | 160.882i | 0.242520 | − | 0.420057i | −0.718911 | − | 0.695102i | \(-0.755359\pi\) |
0.961431 | + | 0.275045i | \(0.0886927\pi\) | |||||||
\(384\) | −27.1787 | − | 20.3303i | −0.0707778 | − | 0.0529434i | ||||
\(385\) | −45.7126 | − | 246.386i | −0.118734 | − | 0.639963i | ||||
\(386\) | 230.212i | 0.596403i | ||||||||
\(387\) | 18.2536 | − | 75.4827i | 0.0471671 | − | 0.195046i | ||||
\(388\) | −212.739 | + | 122.825i | −0.548297 | + | 0.316559i | ||||
\(389\) | 469.908 | − | 271.302i | 1.20799 | − | 0.697433i | 0.245670 | − | 0.969353i | \(-0.420992\pi\) |
0.962320 | + | 0.271920i | \(0.0876587\pi\) | |||||||
\(390\) | −82.7766 | − | 124.355i | −0.212248 | − | 0.318860i | ||||
\(391\) | 28.5601 | 0.0730438 | ||||||||
\(392\) | 138.593 | − | 0.309164i | 0.353553 | − | 0.000788685i | ||||
\(393\) | 171.663 | − | 229.490i | 0.436802 | − | 0.583943i | ||||
\(394\) | 163.080 | − | 282.462i | 0.413908 | − | 0.716909i | ||||
\(395\) | −26.5768 | − | 31.1759i | −0.0672829 | − | 0.0789264i | ||||
\(396\) | 93.3361 | + | 88.8660i | 0.235697 | + | 0.224409i | ||||
\(397\) | 227.395 | + | 131.286i | 0.572782 | + | 0.330696i | 0.758260 | − | 0.651953i | \(-0.226050\pi\) |
−0.185478 | + | 0.982648i | \(0.559383\pi\) | |||||||
\(398\) | −391.761 | −0.984324 | ||||||||
\(399\) | 405.993 | + | 302.986i | 1.01753 | + | 0.759364i | ||||
\(400\) | 93.4244 | − | 35.6634i | 0.233561 | − | 0.0891584i | ||||
\(401\) | 99.9285 | + | 57.6937i | 0.249198 | + | 0.143875i | 0.619397 | − | 0.785078i | \(-0.287377\pi\) |
−0.370199 | + | 0.928953i | \(0.620710\pi\) | |||||||
\(402\) | 532.588 | + | 63.4817i | 1.32484 | + | 0.157915i | ||||
\(403\) | −123.269 | + | 71.1693i | −0.305878 | + | 0.176599i | ||||
\(404\) | −97.4264 | − | 56.2492i | −0.241154 | − | 0.139231i | ||||
\(405\) | −294.953 | + | 277.538i | −0.728280 | + | 0.685280i | ||||
\(406\) | −75.2900 | − | 43.3568i | −0.185443 | − | 0.106790i | ||||
\(407\) | −399.071 | −0.980517 | ||||||||
\(408\) | −18.9365 | + | 8.11726i | −0.0464130 | + | 0.0198953i | ||||
\(409\) | −205.919 | − | 356.662i | −0.503469 | − | 0.872033i | −0.999992 | − | 0.00400996i | \(-0.998724\pi\) |
0.496523 | − | 0.868023i | \(-0.334610\pi\) | |||||||
\(410\) | 282.114 | − | 240.496i | 0.688083 | − | 0.586575i | ||||
\(411\) | 298.392 | − | 127.908i | 0.726014 | − | 0.311210i | ||||
\(412\) | − | 300.531i | − | 0.729443i | ||||||
\(413\) | 507.108 | − | 293.534i | 1.22787 | − | 0.710736i | ||||
\(414\) | −42.2832 | − | 143.616i | −0.102133 | − | 0.346899i | ||||
\(415\) | −226.366 | + | 637.355i | −0.545459 | + | 1.53580i | ||||
\(416\) | −34.4993 | + | 19.9182i | −0.0829309 | + | 0.0478802i | ||||
\(417\) | 40.4426 | − | 339.298i | 0.0969847 | − | 0.813664i | ||||
\(418\) | −211.533 | − | 122.129i | −0.506059 | − | 0.292173i | ||||
\(419\) | − | 187.984i | − | 0.448649i | −0.974515 | − | 0.224325i | \(-0.927982\pi\) | ||
0.974515 | − | 0.224325i | \(-0.0720176\pi\) | |||||||
\(420\) | −13.6009 | − | 209.559i | −0.0323830 | − | 0.498950i | ||||
\(421\) | 278.344 | 0.661149 | 0.330574 | − | 0.943780i | \(-0.392758\pi\) | ||||
0.330574 | + | 0.943780i | \(0.392758\pi\) | |||||||
\(422\) | −60.1857 | + | 104.245i | −0.142620 | + | 0.247025i | ||||
\(423\) | 549.897 | − | 577.557i | 1.29999 | − | 1.36538i | ||||
\(424\) | −27.6782 | − | 47.9401i | −0.0652788 | − | 0.113066i | ||||
\(425\) | 9.60720 | − | 59.9370i | 0.0226052 | − | 0.141028i | ||||
\(426\) | 319.527 | − | 427.163i | 0.750065 | − | 1.00273i | ||||
\(427\) | −167.274 | + | 290.476i | −0.391743 | + | 0.680271i | ||||
\(428\) | −10.1146 | −0.0236322 | ||||||||
\(429\) | 139.025 | − | 59.5939i | 0.324068 | − | 0.138914i | ||||
\(430\) | 46.4324 | − | 39.5825i | 0.107982 | − | 0.0920523i | ||||
\(431\) | −250.523 | + | 144.639i | −0.581259 | + | 0.335590i | −0.761634 | − | 0.648008i | \(-0.775602\pi\) |
0.180374 | + | 0.983598i | \(0.442269\pi\) | |||||||
\(432\) | 68.8536 | + | 83.2057i | 0.159383 | + | 0.192606i | ||||
\(433\) | 565.286i | 1.30551i | 0.757569 | + | 0.652755i | \(0.226387\pi\) | ||||
−0.757569 | + | 0.652755i | \(0.773613\pi\) | |||||||
\(434\) | −200.093 | + | 0.223177i | −0.461043 | + | 0.000514234i | ||||
\(435\) | −58.4323 | + | 117.967i | −0.134327 | + | 0.271188i | ||||
\(436\) | −20.2818 | + | 35.1291i | −0.0465178 | + | 0.0805713i | ||||
\(437\) | 141.874 | + | 245.733i | 0.324654 | + | 0.562317i | ||||
\(438\) | 316.372 | + | 37.7099i | 0.722310 | + | 0.0860957i | ||||
\(439\) | −154.519 | + | 267.635i | −0.351980 | + | 0.609647i | −0.986596 | − | 0.163180i | \(-0.947825\pi\) |
0.634616 | + | 0.772827i | \(0.281158\pi\) | |||||||
\(440\) | 18.3596 | + | 99.5754i | 0.0417264 | + | 0.226308i | ||||
\(441\) | −428.875 | − | 102.701i | −0.972505 | − | 0.232882i | ||||
\(442\) | 24.1815i | 0.0547092i | ||||||||
\(443\) | −96.6911 | + | 167.474i | −0.218264 | + | 0.378045i | −0.954277 | − | 0.298922i | \(-0.903373\pi\) |
0.736013 | + | 0.676967i | \(0.236706\pi\) | |||||||
\(444\) | −332.079 | − | 39.5821i | −0.747925 | − | 0.0891488i | ||||
\(445\) | 59.2819 | − | 50.5364i | 0.133218 | − | 0.113565i | ||||
\(446\) | 435.428 | + | 251.394i | 0.976295 | + | 0.563664i | ||||
\(447\) | 58.1345 | − | 77.7176i | 0.130055 | − | 0.173865i | ||||
\(448\) | −56.0000 | + | 0.0624607i | −0.125000 | + | 0.000139421i | ||||
\(449\) | 241.376i | 0.537587i | 0.963198 | + | 0.268793i | \(0.0866249\pi\) | ||||
−0.963198 | + | 0.268793i | \(0.913375\pi\) | |||||||
\(450\) | −315.620 | + | 40.4263i | −0.701377 | + | 0.0898362i | ||||
\(451\) | 187.680 | + | 325.071i | 0.416141 | + | 0.720777i | ||||
\(452\) | 70.8350 | + | 122.690i | 0.156715 | + | 0.271438i | ||||
\(453\) | 591.309 | − | 253.468i | 1.30532 | − | 0.559533i | ||||
\(454\) | −456.650 | −1.00584 | ||||||||
\(455\) | −232.353 | − | 82.2315i | −0.510665 | − | 0.180729i | ||||
\(456\) | −163.909 | − | 122.608i | −0.359450 | − | 0.268877i | ||||
\(457\) | −5.49041 | − | 3.16989i | −0.0120140 | − | 0.00693630i | 0.493981 | − | 0.869473i | \(-0.335541\pi\) |
−0.505995 | + | 0.862536i | \(0.668875\pi\) | |||||||
\(458\) | −104.648 | − | 181.256i | −0.228489 | − | 0.395755i | ||||
\(459\) | 64.6386 | − | 10.9422i | 0.140825 | − | 0.0238392i | ||||
\(460\) | 39.3667 | − | 110.841i | 0.0855798 | − | 0.240959i | ||||
\(461\) | − | 63.0320i | − | 0.136729i | −0.997660 | − | 0.0683644i | \(-0.978222\pi\) | ||
0.997660 | − | 0.0683644i | \(-0.0217781\pi\) | |||||||
\(462\) | 211.166 | + | 24.9311i | 0.457070 | + | 0.0539635i | ||||
\(463\) | 170.842i | 0.368990i | 0.982833 | + | 0.184495i | \(0.0590649\pi\) | ||||
−0.982833 | + | 0.184495i | \(0.940935\pi\) | |||||||
\(464\) | 30.4022 | + | 17.5527i | 0.0655220 | + | 0.0378291i | ||||
\(465\) | 19.2987 | + | 302.572i | 0.0415026 | + | 0.650692i | ||||
\(466\) | −181.175 | − | 313.804i | −0.388788 | − | 0.673400i | ||||
\(467\) | 120.590 | − | 208.868i | 0.258223 | − | 0.447255i | −0.707543 | − | 0.706670i | \(-0.750197\pi\) |
0.965766 | + | 0.259415i | \(0.0835299\pi\) | |||||||
\(468\) | 121.598 | − | 35.8006i | 0.259824 | − | 0.0764971i | ||||
\(469\) | 765.891 | − | 443.327i | 1.63303 | − | 0.945260i | ||||
\(470\) | 616.166 | − | 113.608i | 1.31099 | − | 0.241719i | ||||
\(471\) | 146.297 | + | 341.291i | 0.310608 | + | 0.724609i | ||||
\(472\) | −205.035 | + | 118.377i | −0.434396 | + | 0.250799i | ||||
\(473\) | 30.8896 | + | 53.5024i | 0.0653058 | + | 0.113113i | ||||
\(474\) | 31.9497 | − | 13.6954i | 0.0674045 | − | 0.0288934i | ||||
\(475\) | 563.425 | − | 215.079i | 1.18616 | − | 0.452798i | ||||
\(476\) | −16.9637 | + | 29.4579i | −0.0356381 | + | 0.0618863i | ||||
\(477\) | 49.7485 | + | 168.972i | 0.104294 | + | 0.354239i | ||||
\(478\) | −104.140 | − | 60.1255i | −0.217867 | − | 0.125786i | ||||
\(479\) | −94.9661 | + | 54.8287i | −0.198259 | + | 0.114465i | −0.595843 | − | 0.803101i | \(-0.703182\pi\) |
0.397584 | + | 0.917566i | \(0.369849\pi\) | |||||||
\(480\) | 5.40113 | + | 84.6807i | 0.0112523 | + | 0.176418i | ||||
\(481\) | −196.258 | + | 339.929i | −0.408021 | + | 0.706713i | ||||
\(482\) | −521.849 | −1.08267 | ||||||||
\(483\) | −197.961 | − | 147.735i | −0.409858 | − | 0.305870i | ||||
\(484\) | 139.477 | 0.288175 | ||||||||
\(485\) | 578.709 | + | 205.537i | 1.19322 | + | 0.423787i | ||||
\(486\) | −150.721 | − | 308.839i | −0.310125 | − | 0.635470i | ||||
\(487\) | 564.917 | − | 326.155i | 1.15999 | − | 0.669723i | 0.208691 | − | 0.977982i | \(-0.433080\pi\) |
0.951302 | + | 0.308259i | \(0.0997463\pi\) | |||||||
\(488\) | 67.7200 | − | 117.294i | 0.138770 | − | 0.240357i | ||||
\(489\) | −318.335 | + | 425.570i | −0.650993 | + | 0.870285i | ||||
\(490\) | −225.365 | − | 263.174i | −0.459929 | − | 0.537090i | ||||
\(491\) | 176.921i | 0.360328i | 0.983637 | + | 0.180164i | \(0.0576628\pi\) | ||||
−0.983637 | + | 0.180164i | \(0.942337\pi\) | |||||||
\(492\) | 123.931 | + | 289.116i | 0.251893 | + | 0.587634i | ||||
\(493\) | 18.4548 | − | 10.6549i | 0.0374336 | − | 0.0216123i | ||||
\(494\) | −208.058 | + | 120.123i | −0.421171 | + | 0.243163i | ||||
\(495\) | 17.6918 | − | 321.702i | 0.0357411 | − | 0.649902i | ||||
\(496\) | 80.8497 | 0.163004 | ||||||||
\(497\) | −0.981685 | − | 880.143i | −0.00197522 | − | 1.77091i | ||||
\(498\) | −459.564 | − | 343.764i | −0.922820 | − | 0.690290i | ||||
\(499\) | 107.821 | − | 186.751i | 0.216074 | − | 0.374251i | −0.737530 | − | 0.675314i | \(-0.764008\pi\) |
0.953604 | + | 0.301063i | \(0.0973415\pi\) | |||||||
\(500\) | −219.371 | − | 119.901i | −0.438742 | − | 0.239802i | ||||
\(501\) | −61.6065 | + | 516.855i | −0.122967 | + | 1.03165i | ||||
\(502\) | −518.367 | − | 299.279i | −1.03260 | − | 0.596174i | ||||
\(503\) | −333.396 | −0.662815 | −0.331408 | − | 0.943488i | \(-0.607524\pi\) | ||||
−0.331408 | + | 0.943488i | \(0.607524\pi\) | |||||||
\(504\) | 173.245 | + | 41.6906i | 0.343740 | + | 0.0827195i | ||||
\(505\) | 50.9962 | + | 276.584i | 0.100983 | + | 0.547691i | ||||
\(506\) | 103.143 | + | 59.5495i | 0.203840 | + | 0.117687i | ||||
\(507\) | −42.3985 | + | 355.707i | −0.0836262 | + | 0.701592i | ||||
\(508\) | 105.004 | − | 60.6241i | 0.206701 | − | 0.119339i | ||||
\(509\) | 38.1549 | + | 22.0287i | 0.0749604 | + | 0.0432784i | 0.537012 | − | 0.843575i | \(-0.319553\pi\) |
−0.462051 | + | 0.886853i | \(0.652886\pi\) | |||||||
\(510\) | 46.1556 | + | 22.8621i | 0.0905011 | + | 0.0448277i | ||||
\(511\) | 454.960 | − | 263.349i | 0.890333 | − | 0.515359i | ||||
\(512\) | 22.6274 | 0.0441942 | ||||||||
\(513\) | 415.243 | + | 501.797i | 0.809440 | + | 0.978163i | ||||
\(514\) | 121.259 | + | 210.027i | 0.235913 | + | 0.408612i | ||||
\(515\) | −571.766 | + | 487.417i | −1.11023 | + | 0.946441i | ||||
\(516\) | 20.3975 | + | 47.5848i | 0.0395301 | + | 0.0922186i | ||||
\(517\) | 634.408i | 1.22709i | ||||||||
\(518\) | −477.548 | + | 276.423i | −0.921907 | + | 0.533635i | ||||
\(519\) | −45.6363 | − | 34.1370i | −0.0879313 | − | 0.0657745i | ||||
\(520\) | 93.8475 | + | 33.3312i | 0.180476 | + | 0.0640985i | ||||
\(521\) | 367.661 | − | 212.269i | 0.705684 | − | 0.407427i | −0.103777 | − | 0.994601i | \(-0.533093\pi\) |
0.809461 | + | 0.587174i | \(0.199759\pi\) | |||||||
\(522\) | −80.9008 | − | 77.0262i | −0.154982 | − | 0.147560i | ||||
\(523\) | −220.292 | − | 127.186i | −0.421208 | − | 0.243185i | 0.274386 | − | 0.961620i | \(-0.411525\pi\) |
−0.695594 | + | 0.718435i | \(0.744859\pi\) | |||||||
\(524\) | 191.060i | 0.364618i | ||||||||
\(525\) | −376.632 | + | 365.750i | −0.717394 | + | 0.696667i | ||||
\(526\) | 495.079 | 0.941215 | ||||||||
\(527\) | 24.5387 | − | 42.5023i | 0.0465630 | − | 0.0806496i | ||||
\(528\) | −85.3129 | − | 10.1689i | −0.161577 | − | 0.0192592i | ||||
\(529\) | 195.323 | + | 338.309i | 0.369230 | + | 0.639525i | ||||
\(530\) | −46.3170 | + | 130.410i | −0.0873906 | + | 0.246057i | ||||
\(531\) | 722.676 | − | 212.769i | 1.36097 | − | 0.400695i | ||||
\(532\) | −337.725 | + | 0.376688i | −0.634821 | + | 0.000708061i | ||||
\(533\) | 369.194 | 0.692672 | ||||||||
\(534\) | 26.0422 | + | 60.7532i | 0.0487683 | + | 0.113770i | ||||
\(535\) | 16.4044 | + | 19.2432i | 0.0306624 | + | 0.0359686i | ||||
\(536\) | −309.666 | + | 178.786i | −0.577735 | + | 0.333556i | ||||
\(537\) | −148.817 | − | 347.170i | −0.277126 | − | 0.646499i | ||||
\(538\) | − | 44.8228i | − | 0.0833137i | ||||||
\(539\) | 303.433 | − | 176.091i | 0.562955 | − | 0.326699i | ||||
\(540\) | 46.6301 | − | 265.943i | 0.0863521 | − | 0.492487i | ||||
\(541\) | −416.076 | + | 720.665i | −0.769087 | + | 1.33210i | 0.168972 | + | 0.985621i | \(0.445955\pi\) |
−0.938059 | + | 0.346477i | \(0.887378\pi\) | |||||||
\(542\) | 120.598 | + | 208.882i | 0.222506 | + | 0.385392i | ||||
\(543\) | 49.2787 | − | 413.430i | 0.0907527 | − | 0.761381i | ||||
\(544\) | 6.86765 | − | 11.8951i | 0.0126244 | − | 0.0218660i | ||||
\(545\) | 99.7279 | − | 18.3877i | 0.182987 | − | 0.0337389i | ||||
\(546\) | 125.085 | − | 167.611i | 0.229094 | − | 0.306980i | ||||
\(547\) | − | 609.451i | − | 1.11417i | −0.830455 | − | 0.557085i | \(-0.811920\pi\) | ||
0.830455 | − | 0.557085i | \(-0.188080\pi\) | |||||||
\(548\) | −108.217 | + | 187.437i | −0.197476 | + | 0.342038i | ||||
\(549\) | −297.174 | + | 312.122i | −0.541300 | + | 0.568529i | ||||
\(550\) | 159.668 | − | 196.426i | 0.290305 | − | 0.357139i | ||||
\(551\) | 183.350 | + | 105.857i | 0.332758 | + | 0.192118i | ||||
\(552\) | 79.9218 | + | 59.7833i | 0.144786 | + | 0.108303i | ||||
\(553\) | 28.6212 | − | 49.7013i | 0.0517563 | − | 0.0898758i | ||||
\(554\) | 485.454i | 0.876271i | ||||||||
\(555\) | 463.277 | + | 695.983i | 0.834734 | + | 1.25402i | ||||
\(556\) | 113.900 | + | 197.280i | 0.204856 | + | 0.354821i | ||||
\(557\) | 420.634 | + | 728.559i | 0.755177 | + | 1.30801i | 0.945286 | + | 0.326242i | \(0.105783\pi\) |
−0.190109 | + | 0.981763i | \(0.560884\pi\) | |||||||
\(558\) | −250.055 | − | 60.4696i | −0.448127 | − | 0.108368i | ||||
\(559\) | 60.7646 | 0.108702 | ||||||||
\(560\) | 90.9426 | + | 106.440i | 0.162398 | + | 0.190071i | ||||
\(561\) | −31.2390 | + | 41.7622i | −0.0556846 | + | 0.0744424i | ||||
\(562\) | 16.9345 | + | 9.77712i | 0.0301325 | + | 0.0173970i | ||||
\(563\) | 63.6150 | + | 110.184i | 0.112993 | + | 0.195709i | 0.916976 | − | 0.398943i | \(-0.130623\pi\) |
−0.803983 | + | 0.594653i | \(0.797290\pi\) | |||||||
\(564\) | −62.9242 | + | 527.910i | −0.111568 | + | 0.936011i | ||||
\(565\) | 118.536 | − | 333.750i | 0.209798 | − | 0.590708i | ||||
\(566\) | − | 587.791i | − | 1.03850i | ||||||
\(567\) | −504.637 | − | 258.517i | −0.890012 | − | 0.455938i | ||||
\(568\) | 355.632i | 0.626112i | ||||||||
\(569\) | 437.386 | + | 252.525i | 0.768692 | + | 0.443805i | 0.832408 | − | 0.554164i | \(-0.186962\pi\) |
−0.0637158 | + | 0.997968i | \(0.520295\pi\) | |||||||
\(570\) | 32.5732 | + | 510.693i | 0.0571459 | + | 0.895953i | ||||
\(571\) | −567.899 | − | 983.631i | −0.994570 | − | 1.72265i | −0.587413 | − | 0.809287i | \(-0.699853\pi\) |
−0.407157 | − | 0.913358i | \(-0.633480\pi\) | |||||||
\(572\) | −50.4198 | + | 87.3296i | −0.0881465 | + | 0.152674i | ||||
\(573\) | −465.888 | + | 622.827i | −0.813068 | + | 1.08696i | ||||
\(574\) | 449.752 | + | 258.996i | 0.783540 | + | 0.451213i | ||||
\(575\) | −274.724 | + | 104.872i | −0.477782 | + | 0.182386i | ||||
\(576\) | −69.9828 | − | 16.9236i | −0.121498 | − | 0.0293813i | ||||
\(577\) | −310.137 | + | 179.058i | −0.537499 | + | 0.310325i | −0.744065 | − | 0.668107i | \(-0.767105\pi\) |
0.206565 | + | 0.978433i | \(0.433771\pi\) | |||||||
\(578\) | 200.185 | + | 346.731i | 0.346341 | + | 0.599880i | ||||
\(579\) | 192.404 | + | 448.853i | 0.332303 | + | 0.775221i | ||||
\(580\) | −15.9135 | − | 86.3088i | −0.0274371 | − | 0.148808i | ||||
\(581\) | −946.904 | + | 1.05615i | −1.62978 | + | 0.00181781i | ||||
\(582\) | −312.133 | + | 417.278i | −0.536311 | + | 0.716972i | ||||
\(583\) | −121.353 | − | 70.0632i | −0.208153 | − | 0.120177i | ||||
\(584\) | −183.950 | + | 106.204i | −0.314983 | + | 0.181856i | ||||
\(585\) | −265.325 | − | 173.279i | −0.453548 | − | 0.296203i | ||||
\(586\) | 79.9804 | − | 138.530i | 0.136485 | − | 0.236400i | ||||
\(587\) | −637.230 | −1.08557 | −0.542786 | − | 0.839871i | \(-0.682630\pi\) | ||||
−0.542786 | + | 0.839871i | \(0.682630\pi\) | |||||||
\(588\) | 269.961 | − | 116.434i | 0.459118 | − | 0.198017i | ||||
\(589\) | 487.589 | 0.827826 | ||||||||
\(590\) | 557.751 | + | 198.093i | 0.945341 | + | 0.335751i | ||||
\(591\) | 81.8899 | − | 687.025i | 0.138562 | − | 1.16248i | ||||
\(592\) | 193.083 | − | 111.476i | 0.326153 | − | 0.188305i | ||||
\(593\) | −283.144 | + | 490.421i | −0.477478 | + | 0.827016i | −0.999667 | − | 0.0258139i | \(-0.991782\pi\) |
0.522189 | + | 0.852830i | \(0.325116\pi\) | |||||||
\(594\) | 256.253 | + | 95.2582i | 0.431402 | + | 0.160367i | ||||
\(595\) | 83.5569 | − | 15.5025i | 0.140432 | − | 0.0260547i | ||||
\(596\) | 64.7032i | 0.108562i | ||||||||
\(597\) | −763.832 | + | 327.422i | −1.27945 | + | 0.548445i | ||||
\(598\) | 101.449 | − | 58.5715i | 0.169647 | − | 0.0979456i | ||||
\(599\) | −134.396 | + | 77.5938i | −0.224368 | + | 0.129539i | −0.607971 | − | 0.793959i | \(-0.708016\pi\) |
0.383603 | + | 0.923498i | \(0.374683\pi\) | |||||||
\(600\) | 152.347 | − | 147.616i | 0.253912 | − | 0.246026i | ||||
\(601\) | −852.137 | −1.41786 | −0.708932 | − | 0.705276i | \(-0.750823\pi\) | ||||
−0.708932 | + | 0.705276i | \(0.750823\pi\) | |||||||
\(602\) | 74.0234 | + | 42.6274i | 0.122963 | + | 0.0708097i | ||||
\(603\) | 1091.46 | − | 321.347i | 1.81006 | − | 0.532914i | ||||
\(604\) | −214.448 | + | 371.435i | −0.355047 | + | 0.614959i | ||||
\(605\) | −226.211 | − | 265.357i | −0.373902 | − | 0.438607i | ||||
\(606\) | −236.968 | − | 28.2453i | −0.391036 | − | 0.0466094i | ||||
\(607\) | 256.188 | + | 147.910i | 0.422056 | + | 0.243674i | 0.695957 | − | 0.718084i | \(-0.254981\pi\) |
−0.273900 | + | 0.961758i | \(0.588314\pi\) | |||||||
\(608\) | 136.462 | 0.224443 | ||||||||
\(609\) | −183.032 | − | 21.6095i | −0.300546 | − | 0.0354836i | ||||
\(610\) | −332.987 | + | 61.3958i | −0.545880 | + | 0.100649i | ||||
\(611\) | 540.390 | + | 311.994i | 0.884435 | + | 0.510629i | ||||
\(612\) | −30.1372 | + | 31.6531i | −0.0492437 | + | 0.0517208i | ||||
\(613\) | −619.980 | + | 357.946i | −1.01139 | + | 0.583925i | −0.911598 | − | 0.411084i | \(-0.865150\pi\) |
−0.0997897 | + | 0.995009i | \(0.531817\pi\) | |||||||
\(614\) | −251.900 | − | 145.434i | −0.410260 | − | 0.236864i | ||||
\(615\) | 349.051 | − | 704.687i | 0.567562 | − | 1.14583i | ||||
\(616\) | −122.685 | + | 71.0146i | −0.199163 | + | 0.115283i | ||||
\(617\) | 546.134 | 0.885145 | 0.442572 | − | 0.896733i | \(-0.354066\pi\) | ||||
0.442572 | + | 0.896733i | \(0.354066\pi\) | |||||||
\(618\) | −251.174 | − | 585.957i | −0.406431 | − | 0.948150i | ||||
\(619\) | −445.587 | − | 771.779i | −0.719849 | − | 1.24682i | −0.961059 | − | 0.276343i | \(-0.910878\pi\) |
0.241210 | − | 0.970473i | \(-0.422456\pi\) | |||||||
\(620\) | −131.127 | − | 153.818i | −0.211494 | − | 0.248094i | ||||
\(621\) | −202.471 | − | 244.675i | −0.326041 | − | 0.394002i | ||||
\(622\) | − | 254.058i | − | 0.408453i | ||||||
\(623\) | 94.5084 | + | 54.4240i | 0.151699 | + | 0.0873579i | ||||
\(624\) | −50.6177 | + | 67.6687i | −0.0811180 | + | 0.108443i | ||||
\(625\) | 127.674 | + | 611.821i | 0.204278 | + | 0.978913i | ||||
\(626\) | 293.149 | − | 169.250i | 0.468289 | − | 0.270367i | ||||
\(627\) | −514.505 | − | 61.3264i | −0.820583 | − | 0.0978093i | ||||
\(628\) | −214.384 | − | 123.775i | −0.341377 | − | 0.197094i | ||||
\(629\) | − | 135.337i | − | 0.215162i | ||||||
\(630\) | −201.661 | − | 397.219i | −0.320097 | − | 0.630506i | ||||
\(631\) | 302.275 | 0.479041 | 0.239520 | − | 0.970891i | \(-0.423010\pi\) | ||||
0.239520 | + | 0.970891i | \(0.423010\pi\) | |||||||
\(632\) | −11.5871 | + | 20.0695i | −0.0183340 | + | 0.0317555i | ||||
\(633\) | −30.2221 | + | 253.552i | −0.0477442 | + | 0.400555i | ||||
\(634\) | 237.098 | + | 410.666i | 0.373972 | + | 0.647738i | ||||
\(635\) | −285.640 | − | 101.449i | −0.449827 | − | 0.159762i | ||||
\(636\) | −94.0322 | − | 70.3382i | −0.147849 | − | 0.110595i | ||||
\(637\) | −0.769748 | − | 345.064i | −0.00120840 | − | 0.541701i | ||||
\(638\) | 88.8641 | 0.139285 | ||||||||
\(639\) | 265.986 | − | 1099.91i | 0.416254 | − | 1.72130i | ||||
\(640\) | −36.6984 | − | 43.0491i | −0.0573412 | − | 0.0672643i | ||||
\(641\) | 408.095 | − | 235.614i | 0.636654 | − | 0.367572i | −0.146671 | − | 0.989185i | \(-0.546856\pi\) |
0.783324 | + | 0.621613i | \(0.213522\pi\) | |||||||
\(642\) | −19.7208 | + | 8.45346i | −0.0307178 | + | 0.0131674i | ||||
\(643\) | 645.383i | 1.00371i | 0.864953 | + | 0.501853i | \(0.167348\pi\) | ||||
−0.864953 | + | 0.501853i | \(0.832652\pi\) | |||||||
\(644\) | 164.674 | − | 0.183672i | 0.255705 | − | 0.000285205i | ||||
\(645\) | 57.4493 | − | 115.982i | 0.0890686 | − | 0.179818i | ||||
\(646\) | 41.4175 | − | 71.7372i | 0.0641138 | − | 0.111048i | ||||
\(647\) | −295.133 | − | 511.186i | −0.456157 | − | 0.790086i | 0.542597 | − | 0.839993i | \(-0.317441\pi\) |
−0.998754 | + | 0.0499067i | \(0.984108\pi\) | |||||||
\(648\) | 203.787 | + | 104.684i | 0.314487 | + | 0.161549i | ||||
\(649\) | −299.653 | + | 519.014i | −0.461715 | + | 0.799714i | ||||
\(650\) | −88.7936 | − | 232.605i | −0.136606 | − | 0.357854i | ||||
\(651\) | −389.943 | + | 167.666i | −0.598990 | + | 0.257552i | ||||
\(652\) | − | 354.305i | − | 0.543412i | ||||||
\(653\) | 546.903 | − | 947.264i | 0.837524 | − | 1.45063i | −0.0544355 | − | 0.998517i | \(-0.517336\pi\) |
0.891959 | − | 0.452116i | \(-0.149331\pi\) | |||||||
\(654\) | −10.1844 | + | 85.4435i | −0.0155725 | + | 0.130648i | ||||
\(655\) | 363.496 | − | 309.871i | 0.554955 | − | 0.473086i | ||||
\(656\) | −181.611 | − | 104.853i | −0.276845 | − | 0.159837i | ||||
\(657\) | 648.360 | − | 190.889i | 0.986849 | − | 0.290547i | ||||
\(658\) | 439.433 | + | 759.164i | 0.667832 | + | 1.15374i | ||||
\(659\) | − | 165.177i | − | 0.250648i | −0.992116 | − | 0.125324i | \(-0.960003\pi\) | ||
0.992116 | − | 0.125324i | \(-0.0399971\pi\) | |||||||
\(660\) | 119.019 | + | 178.802i | 0.180331 | + | 0.270912i | ||||
\(661\) | 128.965 | + | 223.374i | 0.195106 | + | 0.337934i | 0.946935 | − | 0.321424i | \(-0.104162\pi\) |
−0.751829 | + | 0.659358i | \(0.770828\pi\) | |||||||
\(662\) | 53.7493 | + | 93.0965i | 0.0811923 | + | 0.140629i | ||||
\(663\) | 20.2101 | + | 47.1476i | 0.0304828 | + | 0.0711125i | ||||
\(664\) | 382.607 | 0.576216 | ||||||||
\(665\) | 548.457 | + | 641.918i | 0.824748 | + | 0.965291i | ||||
\(666\) | −680.549 | + | 200.366i | −1.02184 | + | 0.300850i | ||||
\(667\) | −89.4009 | − | 51.6156i | −0.134034 | − | 0.0773848i | ||||
\(668\) | −173.505 | − | 300.519i | −0.259737 | − | 0.449878i | ||||
\(669\) | 1059.08 | + | 126.237i | 1.58308 | + | 0.188695i | ||||
\(670\) | 842.377 | + | 299.182i | 1.25728 | + | 0.446540i | ||||
\(671\) | − | 342.845i | − | 0.510947i | ||||||
\(672\) | −109.133 | + | 46.9248i | −0.162401 | + | 0.0698286i | ||||
\(673\) | − | 982.005i | − | 1.45915i | −0.683903 | − | 0.729573i | \(-0.739719\pi\) | ||
0.683903 | − | 0.729573i | \(-0.260281\pi\) | |||||||
\(674\) | −789.481 | − | 455.807i | −1.17134 | − | 0.676272i | ||||
\(675\) | −581.589 | + | 342.606i | −0.861614 | + | 0.507564i | ||||
\(676\) | −119.408 | − | 206.821i | −0.176640 | − | 0.305949i | ||||
\(677\) | −397.241 | + | 688.041i | −0.586766 | + | 1.01631i | 0.407887 | + | 0.913033i | \(0.366266\pi\) |
−0.994653 | + | 0.103276i | \(0.967067\pi\) | |||||||
\(678\) | 240.650 | + | 180.012i | 0.354941 | + | 0.265504i | ||||
\(679\) | 0.958967 | + | 859.775i | 0.00141232 | + | 1.26624i | ||||
\(680\) | −33.7691 | + | 6.22630i | −0.0496604 | + | 0.00915633i | ||||
\(681\) | −890.350 | + | 381.654i | −1.30742 | + | 0.560432i | ||||
\(682\) | 177.240 | − | 102.329i | 0.259882 | − | 0.150043i | ||||
\(683\) | 92.7635 | + | 160.671i | 0.135818 | + | 0.235243i | 0.925910 | − | 0.377745i | \(-0.123300\pi\) |
−0.790092 | + | 0.612989i | \(0.789967\pi\) | |||||||
\(684\) | −422.053 | − | 102.063i | −0.617036 | − | 0.149215i | ||||
\(685\) | 532.115 | − | 98.1108i | 0.776810 | − | 0.143227i | ||||
\(686\) | 241.131 | − | 420.897i | 0.351502 | − | 0.613552i | ||||
\(687\) | −355.524 | − | 265.940i | −0.517503 | − | 0.387103i | ||||
\(688\) | −29.8908 | − | 17.2574i | −0.0434459 | − | 0.0250835i | ||||
\(689\) | −119.360 | + | 68.9124i | −0.173236 | + | 0.100018i | ||||
\(690\) | −15.8826 | − | 249.013i | −0.0230182 | − | 0.360888i | ||||
\(691\) | −32.7555 | + | 56.7341i | −0.0474030 | + | 0.0821044i | −0.888753 | − | 0.458386i | \(-0.848428\pi\) |
0.841350 | + | 0.540490i | \(0.181761\pi\) | |||||||
\(692\) | 37.9942 | 0.0549049 | ||||||||
\(693\) | 432.557 | − | 127.877i | 0.624180 | − | 0.184527i | ||||
\(694\) | −634.355 | −0.914057 | ||||||||
\(695\) | 190.601 | − | 536.657i | 0.274246 | − | 0.772169i | ||||
\(696\) | 73.9465 | + | 8.81404i | 0.106245 | + | 0.0126639i | ||||
\(697\) | −110.241 | + | 63.6478i | −0.158165 | + | 0.0913168i | ||||
\(698\) | 429.050 | − | 743.137i | 0.614685 | − | 1.06467i | ||||
\(699\) | −615.513 | − | 460.417i | −0.880562 | − | 0.658679i | ||||
\(700\) | 55.0084 | − | 345.650i | 0.0785834 | − | 0.493786i | ||||
\(701\) | − | 965.721i | − | 1.37763i | −0.724936 | − | 0.688816i | \(-0.758131\pi\) | ||
0.724936 | − | 0.688816i | \(-0.241869\pi\) | |||||||
\(702\) | 207.163 | − | 171.430i | 0.295104 | − | 0.244202i | ||||
\(703\) | 1164.45 | − | 672.293i | 1.65639 | − | 0.956320i | ||||
\(704\) | 49.6041 | − | 28.6389i | 0.0704603 | − | 0.0406803i | ||||
\(705\) | 1106.41 | − | 736.479i | 1.56938 | − | 1.04465i | ||||
\(706\) | −605.651 | −0.857863 | ||||||||
\(707\) | −340.773 | + | 197.252i | −0.481998 | + | 0.278999i | ||||
\(708\) | −300.829 | + | 402.166i | −0.424900 | + | 0.568031i | ||||
\(709\) | 351.730 | − | 609.214i | 0.496093 | − | 0.859258i | −0.503897 | − | 0.863764i | \(-0.668101\pi\) |
0.999990 | + | 0.00450607i | \(0.00143433\pi\) | |||||||
\(710\) | 676.597 | − | 576.783i | 0.952953 | − | 0.812370i | ||||
\(711\) | 50.8474 | − | 53.4052i | 0.0715154 | − | 0.0751127i | ||||
\(712\) | −38.1626 | − | 22.0332i | −0.0535991 | − | 0.0309455i | ||||
\(713\) | −237.747 | −0.333446 | ||||||||
\(714\) | −8.45490 | + | 71.6130i | −0.0118416 | + | 0.100298i | ||||
\(715\) | 247.920 | − | 45.7112i | 0.346741 | − | 0.0639318i | ||||
\(716\) | 218.078 | + | 125.907i | 0.304578 | + | 0.175848i | ||||
\(717\) | −253.298 | − | 30.1918i | −0.353274 | − | 0.0421085i | ||||
\(718\) | 858.949 | − | 495.914i | 1.19631 | − | 0.690689i | ||||
\(719\) | 649.908 | + | 375.224i | 0.903905 | + | 0.521870i | 0.878465 | − | 0.477807i | \(-0.158568\pi\) |
0.0254398 | + | 0.999676i | \(0.491901\pi\) | |||||||
\(720\) | 81.3043 | + | 160.591i | 0.112923 | + | 0.223044i | ||||
\(721\) | −911.521 | − | 524.912i | −1.26425 | − | 0.728034i | ||||
\(722\) | 312.443 | 0.432746 | ||||||||
\(723\) | −1017.47 | + | 436.145i | −1.40729 | + | 0.603243i | ||||
\(724\) | 138.785 | + | 240.384i | 0.191693 | + | 0.332021i | ||||
\(725\) | −138.395 | + | 170.256i | −0.190890 | + | 0.234836i | ||||
\(726\) | 271.943 | − | 116.570i | 0.374577 | − | 0.160565i | ||||
\(727\) | − | 674.589i | − | 0.927908i | −0.885859 | − | 0.463954i | \(-0.846430\pi\) | ||
0.885859 | − | 0.463954i | \(-0.153570\pi\) | |||||||
\(728\) | 0.155513 | + | 139.427i | 0.000213616 | + | 0.191521i | ||||
\(729\) | −551.984 | − | 476.187i | −0.757180 | − | 0.653206i | ||||
\(730\) | 500.396 | + | 177.722i | 0.685473 | + | 0.243455i | ||||
\(731\) | −18.1443 | + | 10.4756i | −0.0248212 | + | 0.0143305i | ||||
\(732\) | 34.0053 | − | 285.292i | 0.0464554 | − | 0.389743i | ||||
\(733\) | 330.354 | + | 190.730i | 0.450688 | + | 0.260205i | 0.708121 | − | 0.706091i | \(-0.249543\pi\) |
−0.257433 | + | 0.966296i | \(0.582877\pi\) | |||||||
\(734\) | 618.475i | 0.842610i | ||||||||
\(735\) | −659.356 | − | 324.768i | −0.897084 | − | 0.441861i | ||||
\(736\) | −66.5383 | −0.0904053 | ||||||||
\(737\) | −452.569 | + | 783.872i | −0.614069 | + | 1.06360i | ||||
\(738\) | 483.269 | + | 460.123i | 0.654835 | + | 0.623473i | ||||
\(739\) | 88.3245 | + | 152.983i | 0.119519 | + | 0.207013i | 0.919577 | − | 0.392910i | \(-0.128531\pi\) |
−0.800058 | + | 0.599922i | \(0.795198\pi\) | |||||||
\(740\) | −525.239 | − | 186.546i | −0.709782 | − | 0.252089i | ||||
\(741\) | −305.265 | + | 408.097i | −0.411964 | + | 0.550738i | ||||
\(742\) | −193.747 | + | 0.216100i | −0.261115 | + | 0.000291240i | ||||
\(743\) | −722.670 | −0.972637 | −0.486319 | − | 0.873781i | \(-0.661661\pi\) | ||||
−0.486319 | + | 0.873781i | \(0.661661\pi\) | |||||||
\(744\) | 157.636 | − | 67.5717i | 0.211876 | − | 0.0908222i | ||||
\(745\) | 123.099 | − | 104.939i | 0.165234 | − | 0.140858i | ||||
\(746\) | 254.338 | − | 146.842i | 0.340936 | − | 0.196840i | ||||
\(747\) | −1183.34 | − | 286.162i | −1.58412 | − | 0.383081i | ||||
\(748\) | − | 34.7688i | − | 0.0464824i | ||||||
\(749\) | −17.6663 | + | 30.6779i | −0.0235866 | + | 0.0409585i | ||||
\(750\) | −527.927 | − | 50.4326i | −0.703902 | − | 0.0672435i | ||||
\(751\) | 324.799 | − | 562.568i | 0.432489 | − | 0.749092i | −0.564598 | − | 0.825366i | \(-0.690969\pi\) |
0.997087 | + | 0.0762737i | \(0.0243023\pi\) | |||||||
\(752\) | −177.216 | − | 306.946i | −0.235659 | − | 0.408173i | ||||
\(753\) | −1260.81 | − | 150.282i | −1.67438 | − | 0.199578i | ||||
\(754\) | 43.7023 | − | 75.6945i | 0.0579606 | − | 0.100391i | ||||
\(755\) | 1054.47 | − | 194.421i | 1.39665 | − | 0.257512i | ||||
\(756\) | 372.627 | − | 63.5070i | 0.492893 | − | 0.0840040i | ||||
\(757\) | − | 181.051i | − | 0.239169i | −0.992824 | − | 0.119584i | \(-0.961844\pi\) | ||
0.992824 | − | 0.119584i | \(-0.0381562\pi\) | |||||||
\(758\) | 301.485 | − | 522.188i | 0.397738 | − | 0.688902i | ||||
\(759\) | 250.871 | + | 29.9026i | 0.330529 | + | 0.0393974i | ||||
\(760\) | −221.321 | − | 259.621i | −0.291212 | − | 0.341607i | ||||
\(761\) | −1061.73 | − | 612.990i | −1.39518 | − | 0.805506i | −0.401295 | − | 0.915949i | \(-0.631440\pi\) |
−0.993882 | + | 0.110443i | \(0.964773\pi\) | |||||||
\(762\) | 154.063 | − | 205.961i | 0.202182 | − | 0.270289i | ||||
\(763\) | 71.1233 | + | 122.873i | 0.0932154 | + | 0.161039i | ||||
\(764\) | − | 518.530i | − | 0.678704i | ||||||
\(765\) | 109.099 | + | 5.99984i | 0.142613 | + | 0.00784293i | ||||
\(766\) | 131.359 | + | 227.521i | 0.171488 | + | 0.297025i | ||||
\(767\) | 294.731 | + | 510.490i | 0.384265 | + | 0.665567i | ||||
\(768\) | 44.1176 | − | 18.9113i | 0.0574448 | − | 0.0246241i | ||||
\(769\) | −741.584 | −0.964349 | −0.482174 | − | 0.876075i | \(-0.660153\pi\) | ||||
−0.482174 | + | 0.876075i | \(0.660153\pi\) | |||||||
\(770\) | 334.083 | + | 118.235i | 0.433875 | + | 0.153552i | ||||
\(771\) | 411.958 | + | 308.153i | 0.534316 | + | 0.399680i | ||||
\(772\) | −281.950 | − | 162.784i | −0.365221 | − | 0.210860i | ||||
\(773\) | 0.777017 | + | 1.34583i | 0.00100520 | + | 0.00174105i | 0.866528 | − | 0.499129i | \(-0.166347\pi\) |
−0.865522 | + | 0.500870i | \(0.833013\pi\) | |||||||
\(774\) | 79.5398 | + | 75.7304i | 0.102765 | + | 0.0978429i | ||||
\(775\) | −79.9746 | + | 498.942i | −0.103193 | + | 0.643796i | ||||
\(776\) | − | 347.402i | − | 0.447683i | ||||||
\(777\) | −700.068 | + | 938.073i | −0.900989 | + | 1.20730i | ||||
\(778\) | 767.357i | 0.986320i | ||||||||
\(779\) | −1095.26 | − | 632.348i | −1.40598 | − | 0.811743i | ||||
\(780\) | 210.836 | − | 13.4476i | 0.270302 | − | 0.0172405i | ||||
\(781\) | 450.114 | + | 779.619i | 0.576330 | + | 0.998232i | ||||
\(782\) | −20.1951 | + | 34.9789i | −0.0258249 | + | 0.0447300i | ||||
\(783\) | −222.112 | − | 82.5668i | −0.283668 | − | 0.105449i | ||||
\(784\) | −97.6211 | + | 169.959i | −0.124517 | + | 0.216785i | ||||
\(785\) | 112.216 | + | 608.616i | 0.142950 | + | 0.775307i | ||||
\(786\) | 159.682 | + | 372.517i | 0.203158 | + | 0.473941i | ||||
\(787\) | −516.324 | + | 298.100i | −0.656066 | + | 0.378780i | −0.790776 | − | 0.612105i | \(-0.790323\pi\) |
0.134711 | + | 0.990885i | \(0.456990\pi\) | |||||||
\(788\) | 230.629 | + | 399.462i | 0.292677 | + | 0.506931i | ||||
\(789\) | 965.276 | − | 413.772i | 1.22342 | − | 0.524426i | ||||
\(790\) | 56.9752 | − | 10.5050i | 0.0721205 | − | 0.0132975i | ||||
\(791\) | 495.844 | − | 0.553050i | 0.626858 | − | 0.000699178i | ||||
\(792\) | −174.837 | + | 51.4752i | −0.220754 | + | 0.0649939i | ||||
\(793\) | −292.036 | − | 168.607i | −0.368268 | − | 0.212619i | ||||
\(794\) | −321.584 | + | 185.667i | −0.405018 | + | 0.233837i | ||||
\(795\) | 18.6867 | + | 292.977i | 0.0235053 | + | 0.368524i | ||||
\(796\) | 277.017 | − | 479.807i | 0.348011 | − | 0.602773i | ||||
\(797\) | −796.553 | −0.999439 | −0.499720 | − | 0.866187i | \(-0.666564\pi\) | ||||
−0.499720 | + | 0.866187i | \(0.666564\pi\) | |||||||
\(798\) | −658.162 | + | 282.995i | −0.824764 | + | 0.354630i | ||||
\(799\) | −215.147 | −0.269270 | ||||||||
\(800\) | −22.3825 | + | 139.639i | −0.0279781 | + | 0.174549i | ||||
\(801\) | 101.551 | + | 96.6877i | 0.126781 | + | 0.120709i | ||||
\(802\) | −141.320 | + | 81.5912i | −0.176210 | + | 0.101735i | ||||
\(803\) | −268.839 | + | 465.642i | −0.334793 | + | 0.579878i | ||||
\(804\) | −454.345 | + | 607.396i | −0.565106 | + | 0.755467i | ||||
\(805\) | −267.426 | − | 312.998i | −0.332207 | − | 0.388817i | ||||
\(806\) | − | 201.297i | − | 0.249749i | ||||||
\(807\) | −37.4615 | − | 87.3928i | −0.0464207 | − | 0.108293i | ||||
\(808\) | 137.782 | − | 79.5483i | 0.170522 | − | 0.0984509i | ||||
\(809\) | 956.082 | − | 551.994i | 1.18181 | − | 0.682317i | 0.225376 | − | 0.974272i | \(-0.427639\pi\) |
0.956432 | + | 0.291955i | \(0.0943058\pi\) | |||||||
\(810\) | −131.350 | − | 557.492i | −0.162161 | − | 0.688262i | ||||
\(811\) | 1030.67 | 1.27087 | 0.635435 | − | 0.772155i | \(-0.280821\pi\) | ||||
0.635435 | + | 0.772155i | \(0.280821\pi\) | |||||||
\(812\) | 106.339 | − | 61.5532i | 0.130960 | − | 0.0758044i | ||||
\(813\) | 409.713 | + | 306.474i | 0.503951 | + | 0.376967i | ||||
\(814\) | 282.185 | − | 488.760i | 0.346665 | − | 0.600442i | ||||
\(815\) | −674.073 | + | 574.631i | −0.827083 | + | 0.705069i | ||||
\(816\) | 3.44857 | − | 28.9322i | 0.00422619 | − | 0.0354561i | ||||
\(817\) | −180.265 | − | 104.076i | −0.220643 | − | 0.127388i | ||||
\(818\) | 582.426 | 0.712012 | ||||||||
\(819\) | 103.800 | − | 431.341i | 0.126740 | − | 0.526668i | ||||
\(820\) | 95.0610 | + | 515.574i | 0.115928 | + | 0.628749i | ||||
\(821\) | −539.449 | − | 311.451i | −0.657063 | − | 0.379355i | 0.134094 | − | 0.990969i | \(-0.457188\pi\) |
−0.791157 | + | 0.611613i | \(0.790521\pi\) | |||||||
\(822\) | −54.3407 | + | 455.898i | −0.0661079 | + | 0.554620i | ||||
\(823\) | −236.754 | + | 136.690i | −0.287672 | + | 0.166088i | −0.636892 | − | 0.770953i | \(-0.719780\pi\) |
0.349219 | + | 0.937041i | \(0.386447\pi\) | |||||||
\(824\) | 368.073 | + | 212.507i | 0.446691 | + | 0.257897i | ||||
\(825\) | 147.144 | − | 516.426i | 0.178356 | − | 0.625971i | ||||
\(826\) | 0.924238 | + | 828.638i | 0.00111893 | + | 1.00319i | ||||
\(827\) | −679.547 | −0.821701 | −0.410850 | − | 0.911703i | \(-0.634768\pi\) | ||||
−0.410850 | + | 0.911703i | \(0.634768\pi\) | |||||||
\(828\) | 205.792 | + | 49.7657i | 0.248541 | + | 0.0601035i | ||||
\(829\) | −536.469 | − | 929.192i | −0.647128 | − | 1.12086i | −0.983806 | − | 0.179239i | \(-0.942637\pi\) |
0.336678 | − | 0.941620i | \(-0.390697\pi\) | |||||||
\(830\) | −620.533 | − | 727.918i | −0.747630 | − | 0.877010i | ||||
\(831\) | 405.728 | + | 946.510i | 0.488240 | + | 1.13900i | ||||
\(832\) | − | 56.3371i | − | 0.0677128i | ||||||
\(833\) | 59.7177 | + | 102.903i | 0.0716899 | + | 0.123533i | ||||
\(834\) | 386.956 | + | 289.452i | 0.463976 | + | 0.347065i | ||||
\(835\) | −290.344 | + | 817.494i | −0.347718 | + | 0.979034i | ||||
\(836\) | 299.153 | − | 172.716i | 0.357838 | − | 0.206598i | ||||
\(837\) | −538.080 | + | 91.0879i | −0.642868 | + | 0.108827i | ||||
\(838\) | 230.232 | + | 132.925i | 0.274740 | + | 0.158621i | ||||
\(839\) | 1354.96i | 1.61497i | 0.589885 | + | 0.807487i | \(0.299173\pi\) | ||||
−0.589885 | + | 0.807487i | \(0.700827\pi\) | |||||||
\(840\) | 266.274 | + | 131.523i | 0.316992 | + | 0.156575i | ||||
\(841\) | 763.975 | 0.908413 | ||||||||
\(842\) | −196.819 | + | 340.900i | −0.233751 | + | 0.404869i | ||||
\(843\) | 41.1892 | + | 4.90955i | 0.0488603 | + | 0.00582390i | ||||
\(844\) | −85.1155 | − | 147.424i | −0.100848 | − | 0.174673i | ||||
\(845\) | −199.819 | + | 562.611i | −0.236472 | + | 0.665812i | ||||
\(846\) | 318.525 | + | 1081.88i | 0.376507 | + | 1.27882i | ||||
\(847\) | 243.612 | − | 423.038i | 0.287618 | − | 0.499454i | ||||
\(848\) | 78.2858 | 0.0923182 | ||||||||
\(849\) | −491.257 | − | 1146.04i | −0.578631 | − | 1.34987i | ||||
\(850\) | 66.6142 | + | 54.1482i | 0.0783696 | + | 0.0637038i | ||||
\(851\) | −567.780 | + | 327.808i | −0.667192 | + | 0.385204i | ||||
\(852\) | 297.226 | + | 693.390i | 0.348857 | + | 0.813838i | ||||
\(853\) | − | 447.622i | − | 0.524762i | −0.964964 | − | 0.262381i | \(-0.915492\pi\) | ||
0.964964 | − | 0.262381i | \(-0.0845077\pi\) | |||||||
\(854\) | −237.478 | − | 410.266i | −0.278077 | − | 0.480405i | ||||
\(855\) | 490.331 | + | 968.496i | 0.573486 | + | 1.13274i | ||||
\(856\) | 7.15210 | − | 12.3878i | 0.00835525 | − | 0.0144717i | ||||
\(857\) | 583.427 | + | 1010.53i | 0.680778 | + | 1.17914i | 0.974744 | + | 0.223326i | \(0.0716916\pi\) |
−0.293965 | + | 0.955816i | \(0.594975\pi\) | |||||||
\(858\) | −25.3181 | + | 212.409i | −0.0295083 | + | 0.247563i | ||||
\(859\) | −242.597 | + | 420.191i | −0.282418 | + | 0.489163i | −0.971980 | − | 0.235064i | \(-0.924470\pi\) |
0.689561 | + | 0.724227i | \(0.257803\pi\) | |||||||
\(860\) | 15.6458 | + | 84.8569i | 0.0181928 | + | 0.0986708i | ||||
\(861\) | 1093.36 | + | 129.086i | 1.26987 | + | 0.149926i | ||||
\(862\) | − | 409.102i | − | 0.474596i | ||||||
\(863\) | 476.994 | − | 826.178i | 0.552716 | − | 0.957333i | −0.445361 | − | 0.895351i | \(-0.646925\pi\) |
0.998077 | − | 0.0619817i | \(-0.0197421\pi\) | |||||||
\(864\) | −150.593 | + | 25.4928i | −0.174297 | + | 0.0295055i | ||||
\(865\) | −61.6211 | − | 72.2848i | −0.0712382 | − | 0.0835663i | ||||
\(866\) | −692.331 | − | 399.717i | −0.799458 | − | 0.461567i | ||||
\(867\) | 680.096 | + | 508.727i | 0.784424 | + | 0.586767i | ||||
\(868\) | 141.214 | − | 245.220i | 0.162689 | − | 0.282512i | ||||
\(869\) | 58.6620i | 0.0675051i | ||||||||
\(870\) | −103.162 | − | 154.980i | −0.118576 | − | 0.178138i | ||||
\(871\) | 445.136 | + | 770.998i | 0.511063 | + | 0.885187i | ||||
\(872\) | −28.6828 | − | 49.6800i | −0.0328931 | − | 0.0569725i | ||||
\(873\) | −259.831 | + | 1074.45i | −0.297630 | + | 1.23076i | ||||
\(874\) | −401.280 | −0.459130 | ||||||||
\(875\) | −746.823 | + | 455.940i | −0.853512 | + | 0.521074i | ||||
\(876\) | −269.894 | + | 360.810i | −0.308098 | + | 0.411883i | ||||
\(877\) | 636.114 | + | 367.261i | 0.725329 | + | 0.418769i | 0.816711 | − | 0.577047i | \(-0.195795\pi\) |
−0.0913816 | + | 0.995816i | \(0.529128\pi\) | |||||||
\(878\) | −218.523 | − | 378.493i | −0.248887 | − | 0.431085i | ||||
\(879\) | 40.1619 | − | 336.943i | 0.0456904 | − | 0.383325i | ||||
\(880\) | −134.937 | − | 47.9246i | −0.153337 | − | 0.0544598i | ||||
\(881\) | 939.200i | 1.06606i | 0.846096 | + | 0.533031i | \(0.178947\pi\) | ||||
−0.846096 | + | 0.533031i | \(0.821053\pi\) | |||||||
\(882\) | 429.042 | − | 452.642i | 0.486443 | − | 0.513199i | ||||
\(883\) | 58.4468i | 0.0661911i | 0.999452 | + | 0.0330956i | \(0.0105366\pi\) | ||||
−0.999452 | + | 0.0330956i | \(0.989463\pi\) | |||||||
\(884\) | −29.6161 | − | 17.0989i | −0.0335024 | − | 0.0193426i | ||||
\(885\) | 1253.03 | − | 79.9211i | 1.41585 | − | 0.0903063i | ||||
\(886\) | −136.742 | − | 236.844i | −0.154336 | − | 0.267318i | ||||
\(887\) | 393.337 | − | 681.280i | 0.443446 | − | 0.768072i | −0.554496 | − | 0.832186i | \(-0.687089\pi\) |
0.997943 | + | 0.0641147i | \(0.0204223\pi\) | |||||||
\(888\) | 283.293 | − | 378.723i | 0.319024 | − | 0.426490i | ||||
\(889\) | −0.473328 | − | 424.369i | −0.000532427 | − | 0.477355i | ||||
\(890\) | 19.9756 | + | 108.340i | 0.0224445 | + | 0.121730i | ||||
\(891\) | 579.240 | − | 28.4392i | 0.650101 | − | 0.0319183i | ||||
\(892\) | −615.788 | + | 355.525i | −0.690345 | + | 0.398571i | ||||
\(893\) | −1068.75 | − | 1851.14i | −1.19681 | − | 2.07294i | ||||
\(894\) | 54.0770 | + | 126.155i | 0.0604888 | + | 0.141113i | ||||
\(895\) | −114.149 | − | 619.100i | −0.127541 | − | 0.691732i | ||||
\(896\) | 39.5215 | − | 68.6298i | 0.0441088 | − | 0.0765958i | ||||
\(897\) | 148.847 | − | 198.987i | 0.165938 | − | 0.221836i | ||||
\(898\) | −295.625 | − | 170.679i | −0.329203 | − | 0.190066i | ||||
\(899\) | −153.626 | + | 88.6958i | −0.170885 | + | 0.0986606i | ||||
\(900\) | 173.665 | − | 415.139i | 0.192961 | − | 0.461266i | ||||
\(901\) | 23.7606 | − | 41.1545i | 0.0263713 | − | 0.0456765i | ||||
\(902\) | −530.838 | −0.588512 | ||||||||
\(903\) | 179.953 | + | 21.2460i | 0.199284 | + | 0.0235282i | ||||
\(904\) | −200.352 | −0.221628 | ||||||||
\(905\) | 232.245 | − | 653.909i | 0.256624 | − | 0.722552i | ||||
\(906\) | −107.684 | + | 903.431i | −0.118857 | + | 0.997165i | ||||
\(907\) | −172.579 | + | 99.6384i | −0.190274 | + | 0.109855i | −0.592111 | − | 0.805856i | \(-0.701705\pi\) |
0.401837 | + | 0.915711i | \(0.368372\pi\) | |||||||
\(908\) | 322.901 | − | 559.280i | 0.355617 | − | 0.615948i | ||||
\(909\) | −485.632 | + | 142.979i | −0.534248 | + | 0.157293i | ||||
\(910\) | 265.011 | − | 226.426i | 0.291221 | − | 0.248820i | ||||
\(911\) | − | 31.2958i | − | 0.0343532i | −0.999852 | − | 0.0171766i | \(-0.994532\pi\) | ||
0.999852 | − | 0.0171766i | \(-0.00546775\pi\) | |||||||
\(912\) | 266.065 | − | 114.050i | 0.291738 | − | 0.125055i | ||||
\(913\) | 838.755 | − | 484.256i | 0.918680 | − | 0.530400i | ||||
\(914\) | 7.76461 | − | 4.48290i | 0.00849520 | − | 0.00490471i | ||||
\(915\) | −597.926 | + | 398.006i | −0.653471 | + | 0.434979i | ||||
\(916\) | 295.989 | 0.323132 | ||||||||
\(917\) | 579.492 | + | 333.709i | 0.631944 | + | 0.363914i | ||||
\(918\) | −32.3050 | + | 86.9031i | −0.0351906 | + | 0.0946657i | ||||
\(919\) | 784.863 | − | 1359.42i | 0.854040 | − | 1.47924i | −0.0234927 | − | 0.999724i | \(-0.507479\pi\) |
0.877533 | − | 0.479517i | \(-0.159188\pi\) | |||||||
\(920\) | 107.915 | + | 126.591i | 0.117299 | + | 0.137598i | ||||
\(921\) | −612.689 | − | 73.0294i | −0.665243 | − | 0.0792936i | ||||
\(922\) | 77.1981 | + | 44.5704i | 0.0837290 | + | 0.0483410i | ||||
\(923\) | 885.441 | 0.959308 | ||||||||
\(924\) | −179.852 | + | 240.996i | −0.194644 | + | 0.260818i | ||||
\(925\) | 496.953 | + | 1301.83i | 0.537247 | + | 1.40738i | ||||
\(926\) | −209.238 | − | 120.804i | −0.225959 | − | 0.130458i | ||||
\(927\) | −979.449 | − | 932.541i | −1.05658 | − | 1.00598i | ||||
\(928\) | −42.9952 | + | 24.8233i | −0.0463311 | + | 0.0267492i | ||||
\(929\) | 1359.58 | + | 784.952i | 1.46349 | + | 0.844943i | 0.999170 | − | 0.0407268i | \(-0.0129673\pi\) |
0.464315 | + | 0.885670i | \(0.346301\pi\) | |||||||
\(930\) | −384.219 | − | 190.315i | −0.413139 | − | 0.204639i | ||||
\(931\) | −588.734 | + | 1024.99i | −0.632367 | + | 1.10096i | ||||
\(932\) | 512.441 | 0.549829 | ||||||||
\(933\) | −212.334 | − | 495.347i | −0.227582 | − | 0.530918i | ||||
\(934\) | 170.540 | + | 295.384i | 0.182591 | + | 0.316257i | ||||
\(935\) | −66.1484 | + | 56.3900i | −0.0707470 | + | 0.0603101i | ||||
\(936\) | −42.1359 | + | 174.241i | −0.0450170 | + | 0.186155i | ||||
\(937\) | − | 1487.98i | − | 1.58803i | −0.607901 | − | 0.794013i | \(-0.707988\pi\) | ||
0.607901 | − | 0.794013i | \(-0.292012\pi\) | |||||||
\(938\) | 1.39589 | + | 1251.50i | 0.00148815 | + | 1.33422i | ||||
\(939\) | 430.111 | − | 574.998i | 0.458052 | − | 0.612352i | ||||
\(940\) | −296.554 | + | 834.979i | −0.315483 | + | 0.888276i | ||||
\(941\) | −444.759 | + | 256.782i | −0.472645 | + | 0.272882i | −0.717346 | − | 0.696717i | \(-0.754643\pi\) |
0.244702 | + | 0.969598i | \(0.421310\pi\) | |||||||
\(942\) | −521.441 | − | 62.1532i | −0.553547 | − | 0.0659800i | ||||
\(943\) | 534.045 | + | 308.331i | 0.566325 | + | 0.326968i | ||||
\(944\) | − | 334.821i | − | 0.354683i | ||||||
\(945\) | −725.170 | − | 605.932i | −0.767376 | − | 0.641198i | ||||
\(946\) | −87.3691 | −0.0923563 | ||||||||
\(947\) | 537.505 | − | 930.985i | 0.567587 | − | 0.983089i | −0.429217 | − | 0.903201i | \(-0.641210\pi\) |
0.996804 | − | 0.0798878i | \(-0.0254562\pi\) | |||||||
\(948\) | −5.81843 | + | 48.8144i | −0.00613758 | + | 0.0514920i | ||||
\(949\) | 264.423 | + | 457.994i | 0.278633 | + | 0.482607i | ||||
\(950\) | −134.985 | + | 842.135i | −0.142089 | + | 0.886458i | ||||
\(951\) | 805.502 | + | 602.533i | 0.847005 | + | 0.633578i | ||||
\(952\) | −24.0832 | − | 41.6061i | −0.0252975 | − | 0.0437039i | ||||
\(953\) | −1252.50 | −1.31427 | −0.657133 | − | 0.753774i | \(-0.728231\pi\) | ||||
−0.657133 | + | 0.753774i | \(0.728231\pi\) | |||||||
\(954\) | −242.125 | − | 58.5520i | −0.253800 | − | 0.0613752i | ||||
\(955\) | −986.515 | + | 840.980i | −1.03300 | + | 0.880608i | ||||
\(956\) | 147.277 | − | 85.0303i | 0.154055 | − | 0.0889438i | ||||
\(957\) | 173.262 | − | 74.2698i | 0.181047 | − | 0.0776069i | ||||
\(958\) | − | 155.079i | − | 0.161878i | ||||||
\(959\) | 379.490 | + | 655.607i | 0.395715 | + | 0.683636i | ||||
\(960\) | −107.531 | − | 53.2633i | −0.112012 | − | 0.0554826i | ||||
\(961\) | 276.229 | − | 478.442i | 0.287439 | − | 0.497859i | ||||
\(962\) | −277.551 | − | 480.732i | −0.288514 | − | 0.499721i | ||||
\(963\) | −31.3854 | + | 32.9641i | −0.0325912 | + | 0.0342307i | ||||
\(964\) | 369.003 | − | 639.132i | 0.382783 | − | 0.662999i | ||||
\(965\) | 147.582 | + | 800.429i | 0.152935 | + | 0.829460i | ||||
\(966\) | 320.918 | − | 137.987i | 0.332213 | − | 0.142844i | ||||
\(967\) | 1694.07i | 1.75188i | 0.482420 | + | 0.875940i | \(0.339758\pi\) | ||||
−0.482420 | + | 0.875940i | \(0.660242\pi\) | |||||||
\(968\) | −98.6248 | + | 170.823i | −0.101885 | + | 0.176470i | ||||
\(969\) | 20.7977 | − | 174.484i | 0.0214630 | − | 0.180066i | ||||
\(970\) | −660.939 | + | 563.435i | −0.681381 | + | 0.580861i | ||||
\(971\) | 1127.86 | + | 651.170i | 1.16154 | + | 0.670618i | 0.951674 | − | 0.307111i | \(-0.0993622\pi\) |
0.209871 | + | 0.977729i | \(0.432696\pi\) | |||||||
\(972\) | 484.824 | + | 33.7872i | 0.498790 | + | 0.0347605i | ||||
\(973\) | 797.299 | − | 0.889283i | 0.819424 | − | 0.000913960i | ||||
\(974\) | 922.505i | 0.947131i | ||||||||
\(975\) | −367.529 | − | 379.309i | −0.376953 | − | 0.389035i | ||||
\(976\) | 95.7705 | + | 165.879i | 0.0981255 | + | 0.169958i | ||||
\(977\) | −287.292 | − | 497.605i | −0.294056 | − | 0.509319i | 0.680709 | − | 0.732554i | \(-0.261672\pi\) |
−0.974765 | + | 0.223235i | \(0.928338\pi\) | |||||||
\(978\) | −296.117 | − | 690.803i | −0.302778 | − | 0.706342i | ||||
\(979\) | −111.547 | −0.113940 | ||||||||
\(980\) | 481.678 | − | 89.9228i | 0.491508 | − | 0.0917579i | ||||
\(981\) | 51.5540 | + | 175.104i | 0.0525525 | + | 0.178496i | ||||
\(982\) | −216.683 | − | 125.102i | −0.220655 | − | 0.127395i | ||||
\(983\) | 619.075 | + | 1072.27i | 0.629781 | + | 1.09081i | 0.987595 | + | 0.157021i | \(0.0501889\pi\) |
−0.357814 | + | 0.933793i | \(0.616478\pi\) | |||||||
\(984\) | −441.726 | − | 52.6515i | −0.448909 | − | 0.0535076i | ||||
\(985\) | 385.937 | − | 1086.65i | 0.391815 | − | 1.10319i | ||||
\(986\) | 30.1365i | 0.0305644i | ||||||||
\(987\) | 1491.27 | + | 1112.91i | 1.51091 | + | 1.12757i | ||||
\(988\) | − | 339.758i | − | 0.343885i | ||||||
\(989\) | 87.8969 | + | 50.7473i | 0.0888746 | + | 0.0513117i | ||||
\(990\) | 381.492 | + | 249.145i | 0.385346 | + | 0.251662i | ||||
\(991\) | −262.675 | − | 454.967i | −0.265061 | − | 0.459098i | 0.702519 | − | 0.711665i | \(-0.252059\pi\) |
−0.967579 | + | 0.252567i | \(0.918725\pi\) | |||||||
\(992\) | −57.1694 | + | 99.0203i | −0.0576304 | + | 0.0998189i | ||||
\(993\) | 182.604 | + | 136.592i | 0.183892 | + | 0.137555i | ||||
\(994\) | 1078.64 | + | 621.153i | 1.08516 | + | 0.624902i | ||||
\(995\) | −1362.12 | + | 251.147i | −1.36897 | + | 0.252409i | ||||
\(996\) | 745.985 | − | 319.771i | 0.748981 | − | 0.321055i | ||||
\(997\) | −7.87841 | + | 4.54860i | −0.00790211 | + | 0.00456229i | −0.503946 | − | 0.863735i | \(-0.668119\pi\) |
0.496044 | + | 0.868298i | \(0.334786\pi\) | |||||||
\(998\) | 152.482 | + | 264.106i | 0.152787 | + | 0.264635i | ||||
\(999\) | −1159.43 | + | 959.444i | −1.16059 | + | 0.960404i |
(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.q.a.149.8 | ✓ | 64 | |
3.2 | odd | 2 | inner | 210.3.q.a.149.19 | yes | 64 | |
5.4 | even | 2 | inner | 210.3.q.a.149.25 | yes | 64 | |
7.4 | even | 3 | inner | 210.3.q.a.179.14 | yes | 64 | |
15.14 | odd | 2 | inner | 210.3.q.a.149.14 | yes | 64 | |
21.11 | odd | 6 | inner | 210.3.q.a.179.25 | yes | 64 | |
35.4 | even | 6 | inner | 210.3.q.a.179.19 | yes | 64 | |
105.74 | odd | 6 | inner | 210.3.q.a.179.8 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.3.q.a.149.8 | ✓ | 64 | 1.1 | even | 1 | trivial | |
210.3.q.a.149.14 | yes | 64 | 15.14 | odd | 2 | inner | |
210.3.q.a.149.19 | yes | 64 | 3.2 | odd | 2 | inner | |
210.3.q.a.149.25 | yes | 64 | 5.4 | even | 2 | inner | |
210.3.q.a.179.8 | yes | 64 | 105.74 | odd | 6 | inner | |
210.3.q.a.179.14 | yes | 64 | 7.4 | even | 3 | inner | |
210.3.q.a.179.19 | yes | 64 | 35.4 | even | 6 | inner | |
210.3.q.a.179.25 | yes | 64 | 21.11 | odd | 6 | inner |