Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(5,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.o (of order \(54\), degree \(18\), 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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(324\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{54})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{54}]$ |
Embedding invariants
Embedding label | 5.7 | ||
Character | \(\chi\) | \(=\) | 324.5 |
Dual form | 324.3.o.a.65.7 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{54}\right)\) |
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 | 0 | ||||||||
\(3\) | −1.40095 | − | 2.65280i | −0.466984 | − | 0.884266i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.05662 | − | 0.786622i | 0.211323 | − | 0.157324i | −0.486293 | − | 0.873796i | \(-0.661651\pi\) |
0.697617 | + | 0.716471i | \(0.254244\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.63828 | + | 2.39294i | −0.519755 | + | 0.341848i | −0.782127 | − | 0.623119i | \(-0.785865\pi\) |
0.262373 | + | 0.964967i | \(0.415495\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −5.07467 | + | 7.43288i | −0.563852 | + | 0.825876i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.102829 | − | 0.879762i | 0.00934813 | − | 0.0799784i | −0.987759 | − | 0.155988i | \(-0.950144\pi\) |
0.997107 | + | 0.0760096i | \(0.0242180\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.05132 | − | 16.8726i | −0.388563 | − | 1.29789i | −0.898990 | − | 0.437970i | \(-0.855698\pi\) |
0.510427 | − | 0.859921i | \(-0.329487\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.56702 | − | 1.70097i | −0.237801 | − | 0.113398i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −25.3507 | − | 4.47002i | −1.49122 | − | 0.262942i | −0.632168 | − | 0.774831i | \(-0.717835\pi\) |
−0.859052 | + | 0.511889i | \(0.828946\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.99904 | + | 11.3371i | 0.105212 | + | 0.596689i | 0.991135 | + | 0.132857i | \(0.0424150\pi\) |
−0.885923 | + | 0.463833i | \(0.846474\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 11.4450 | + | 6.29924i | 0.545002 | + | 0.299964i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −22.2073 | + | 33.7646i | −0.965535 | + | 1.46802i | −0.0836858 | + | 0.996492i | \(0.526669\pi\) |
−0.881849 | + | 0.471532i | \(0.843701\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −6.67242 | + | 22.2874i | −0.266897 | + | 0.891497i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 26.8273 | + | 3.04895i | 0.993604 | + | 0.112924i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 26.3326 | − | 24.8435i | 0.908019 | − | 0.856672i | −0.0821393 | − | 0.996621i | \(-0.526175\pi\) |
0.990159 | + | 0.139949i | \(0.0446938\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.94284 | + | 50.5267i | −0.0949305 | + | 1.62989i | 0.529147 | + | 0.848530i | \(0.322512\pi\) |
−0.624077 | + | 0.781363i | \(0.714525\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2.47789 | + | 0.959719i | −0.0750876 | + | 0.0290824i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.96194 | + | 5.39037i | −0.0560553 | + | 0.154011i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −52.9367 | + | 19.2674i | −1.43072 | + | 0.520740i | −0.937138 | − | 0.348958i | \(-0.886536\pi\) |
−0.493584 | + | 0.869698i | \(0.664313\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −37.6829 | + | 37.0378i | −0.966228 | + | 0.949687i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 10.9812 | − | 46.3332i | 0.267833 | − | 1.13008i | −0.658262 | − | 0.752789i | \(-0.728708\pi\) |
0.926096 | − | 0.377289i | \(-0.123144\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −16.1115 | − | 37.3508i | −0.374687 | − | 0.868622i | −0.996352 | − | 0.0853389i | \(-0.972803\pi\) |
0.621665 | − | 0.783283i | \(-0.286457\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.484891 | + | 11.8456i | 0.0107754 | + | 0.263235i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −11.3117 | + | 0.658832i | −0.240674 | + | 0.0140177i | −0.178058 | − | 0.984020i | \(-0.556982\pi\) |
−0.0626164 | + | 0.998038i | \(0.519944\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −11.8969 | + | 27.5802i | −0.242795 | + | 0.562862i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 23.6571 | + | 73.5126i | 0.463865 | + | 1.44142i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −19.9552 | − | 11.5211i | −0.376513 | − | 0.217380i | 0.299787 | − | 0.954006i | \(-0.403084\pi\) |
−0.676300 | + | 0.736626i | \(0.736418\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.583389 | − | 1.01046i | −0.0106071 | − | 0.0183720i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 27.2745 | − | 21.1858i | 0.478500 | − | 0.371680i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.62732 | − | 13.9226i | −0.0275817 | − | 0.235976i | −0.999996 | − | 0.00271729i | \(-0.999135\pi\) |
0.972415 | − | 0.233259i | \(-0.0749390\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −41.2423 | − | 20.7127i | −0.676103 | − | 0.339552i | 0.0773963 | − | 0.997000i | \(-0.475339\pi\) |
−0.753499 | + | 0.657449i | \(0.771636\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0.676659 | − | 39.1863i | 0.0107406 | − | 0.622005i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −18.6097 | − | 13.8544i | −0.286302 | − | 0.213144i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −42.5466 | + | 45.0968i | −0.635024 | + | 0.673086i | −0.962346 | − | 0.271827i | \(-0.912372\pi\) |
0.327322 | + | 0.944913i | \(0.393854\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 120.682 | + | 11.6089i | 1.74901 | + | 0.168246i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 80.7693 | − | 96.2571i | 1.13760 | − | 1.35573i | 0.211978 | − | 0.977274i | \(-0.432009\pi\) |
0.925618 | − | 0.378460i | \(-0.123546\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 59.5008 | − | 49.9271i | 0.815080 | − | 0.683933i | −0.136735 | − | 0.990608i | \(-0.543661\pi\) |
0.951814 | + | 0.306675i | \(0.0992164\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 68.4717 | − | 13.5230i | 0.912957 | − | 0.180307i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.73109 | + | 3.44689i | 0.0224817 | + | 0.0447648i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −35.6596 | + | 8.45149i | −0.451388 | + | 0.106981i | −0.450021 | − | 0.893018i | \(-0.648583\pi\) |
−0.00136724 | + | 0.999999i | \(0.500435\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −29.4955 | − | 75.4388i | −0.364142 | − | 0.931343i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.52870 | − | 6.45010i | −0.0184181 | − | 0.0777121i | 0.963060 | − | 0.269288i | \(-0.0867883\pi\) |
−0.981478 | + | 0.191576i | \(0.938640\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −30.3022 | + | 15.2184i | −0.356497 | + | 0.179039i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −102.795 | − | 35.0504i | −1.18156 | − | 0.402878i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −73.1252 | − | 87.1472i | −0.821631 | − | 0.979182i | 0.178357 | − | 0.983966i | \(-0.442922\pi\) |
−0.999989 | + | 0.00478390i | \(0.998477\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 58.7531 | + | 49.2997i | 0.645639 | + | 0.541755i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 138.160 | − | 62.9787i | 1.48559 | − | 0.677190i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 11.0302 | + | 10.4065i | 0.116108 | + | 0.109542i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −59.2463 | + | 79.5816i | −0.610786 | + | 0.820429i | −0.994687 | − | 0.102946i | \(-0.967173\pi\) |
0.383900 | + | 0.923374i | \(0.374581\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 6.01734 | + | 5.22882i | 0.0607813 | + | 0.0528164i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 67.2080 | − | 133.822i | 0.665426 | − | 1.32497i | −0.267030 | − | 0.963688i | \(-0.586042\pi\) |
0.932456 | − | 0.361284i | \(-0.117662\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 85.7742 | − | 10.0256i | 0.832759 | − | 0.0973356i | 0.310980 | − | 0.950416i | \(-0.399343\pi\) |
0.521779 | + | 0.853081i | \(0.325269\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 17.0481 | − | 2.34704i | 0.162363 | − | 0.0223527i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −54.0083 | + | 31.1817i | −0.504751 | + | 0.291418i | −0.730673 | − | 0.682727i | \(-0.760794\pi\) |
0.225923 | + | 0.974145i | \(0.427460\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 33.2197 | − | 57.5383i | 0.304768 | − | 0.527874i | −0.672442 | − | 0.740150i | \(-0.734754\pi\) |
0.977210 | + | 0.212276i | \(0.0680877\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 125.274 | + | 113.438i | 1.12860 | + | 1.02196i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −93.8943 | − | 40.5021i | −0.830923 | − | 0.358425i | −0.0622450 | − | 0.998061i | \(-0.519826\pi\) |
−0.768678 | + | 0.639636i | \(0.779085\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.09534 | + | 53.1450i | 0.0269160 | + | 0.462130i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 151.046 | + | 48.0769i | 1.29099 | + | 0.410913i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 102.930 | − | 44.3995i | 0.864955 | − | 0.373105i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 116.975 | + | 27.7236i | 0.966736 | + | 0.229121i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −138.297 | + | 35.7798i | −1.12436 | + | 0.290892i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 21.7450 | + | 59.7438i | 0.173960 | + | 0.477950i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −201.479 | − | 73.3322i | −1.58645 | − | 0.577419i | −0.609853 | − | 0.792515i | \(-0.708771\pi\) |
−0.976593 | + | 0.215096i | \(0.930994\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −76.5125 | + | 95.0673i | −0.593120 | + | 0.736956i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 68.9240 | + | 4.01437i | 0.526137 | + | 0.0306440i | 0.319158 | − | 0.947701i | \(-0.396600\pi\) |
0.206979 | + | 0.978345i | \(0.433637\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −34.4020 | − | 36.4640i | −0.258662 | − | 0.274166i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 30.7446 | − | 17.8814i | 0.227737 | − | 0.132455i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 73.1173 | + | 21.8899i | 0.533703 | + | 0.159780i | 0.542303 | − | 0.840183i | \(-0.317552\pi\) |
−0.00860018 | + | 0.999963i | \(0.502738\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −83.1785 | − | 54.7074i | −0.598407 | − | 0.393578i | 0.213860 | − | 0.976864i | \(-0.431396\pi\) |
−0.812267 | + | 0.583286i | \(0.801767\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 17.5949 | + | 29.0847i | 0.124786 | + | 0.206274i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −15.3633 | + | 2.70896i | −0.107436 | + | 0.0189438i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.28099 | − | 46.9638i | 0.0571103 | − | 0.323889i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 89.8318 | − | 7.07838i | 0.611101 | − | 0.0481522i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 34.6895 | − | 10.3854i | 0.232816 | − | 0.0697004i | −0.168270 | − | 0.985741i | \(-0.553818\pi\) |
0.401086 | + | 0.916041i | \(0.368633\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −79.1363 | − | 9.24970i | −0.524081 | − | 0.0612563i | −0.150061 | − | 0.988677i | \(-0.547947\pi\) |
−0.374020 | + | 0.927420i | \(0.622021\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 161.872 | − | 165.745i | 1.05798 | − | 1.08330i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 36.6360 | + | 55.7023i | 0.236361 | + | 0.359369i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 130.675 | + | 175.528i | 0.832328 | + | 1.11801i | 0.991416 | + | 0.130746i | \(0.0417373\pi\) |
−0.159088 | + | 0.987264i | \(0.550855\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.60697 | + | 69.0776i | −0.0163960 | + | 0.434450i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 175.986i | − | 1.09308i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 22.9884 | 0.141033 | 0.0705166 | − | 0.997511i | \(-0.477535\pi\) | ||||
0.0705166 | + | 0.997511i | \(0.477535\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.86324 | + | 2.96322i | −0.0112924 | + | 0.0179589i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −108.837 | + | 81.0259i | −0.651716 | + | 0.485185i | −0.871520 | − | 0.490359i | \(-0.836866\pi\) |
0.219804 | + | 0.975544i | \(0.429458\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −117.971 | + | 77.5905i | −0.698051 | + | 0.459116i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −94.4118 | − | 42.6734i | −0.552116 | − | 0.249552i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 8.78992 | − | 75.2026i | 0.0508088 | − | 0.434697i | −0.943761 | − | 0.330628i | \(-0.892740\pi\) |
0.994570 | − | 0.104069i | \(-0.0331864\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −29.0562 | − | 97.0546i | −0.166036 | − | 0.554598i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −34.6541 | + | 23.8218i | −0.195786 | + | 0.134587i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −285.704 | − | 50.3772i | −1.59611 | − | 0.281437i | −0.696310 | − | 0.717741i | \(-0.745176\pi\) |
−0.899799 | + | 0.436304i | \(0.856287\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.79250 | + | 27.1796i | 0.0264779 | + | 0.150163i | 0.995180 | − | 0.0980610i | \(-0.0312640\pi\) |
−0.968703 | + | 0.248225i | \(0.920153\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 2.83199 | + | 138.425i | 0.0154753 | + | 0.756420i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −40.7777 | + | 61.9995i | −0.220420 | + | 0.335132i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.53936 | + | 21.8430i | −0.0349698 | + | 0.116807i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −104.901 | + | 53.1031i | −0.555033 | + | 0.280969i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −74.4869 | + | 70.2748i | −0.389984 | + | 0.367931i | −0.856115 | − | 0.516785i | \(-0.827129\pi\) |
0.466132 | + | 0.884715i | \(0.345647\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −5.02042 | + | 86.1973i | −0.0260125 | + | 0.446618i | 0.960006 | + | 0.279980i | \(0.0903280\pi\) |
−0.986018 | + | 0.166637i | \(0.946709\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −10.6816 | + | 68.7770i | −0.0547775 | + | 0.352702i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 123.605 | − | 339.602i | 0.627437 | − | 1.72387i | −0.0605704 | − | 0.998164i | \(-0.519292\pi\) |
0.688007 | − | 0.725704i | \(-0.258486\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 325.194 | − | 118.361i | 1.63414 | − | 0.594778i | 0.648138 | − | 0.761523i | \(-0.275548\pi\) |
0.986000 | + | 0.166745i | \(0.0533257\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 179.238 | + | 49.6891i | 0.891733 | + | 0.247210i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −36.3564 | + | 153.400i | −0.179096 | + | 0.755664i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −24.8438 | − | 57.5945i | −0.121189 | − | 0.280949i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −138.273 | − | 336.408i | −0.667987 | − | 1.62516i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 10.1795 | − | 0.592889i | 0.0487058 | − | 0.00283679i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −126.593 | + | 293.475i | −0.599966 | + | 1.39088i | 0.299588 | + | 0.954069i | \(0.403151\pi\) |
−0.899554 | + | 0.436810i | \(0.856108\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −368.505 | − | 79.4130i | −1.73007 | − | 0.372831i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −46.4047 | − | 26.7917i | −0.215836 | − | 0.124613i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −110.200 | − | 190.872i | −0.507835 | − | 0.879596i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −215.804 | − | 87.8981i | −0.985408 | − | 0.401361i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 52.6339 | + | 450.312i | 0.238162 | + | 2.03761i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −33.4852 | − | 16.8169i | −0.150158 | − | 0.0754121i | 0.372133 | − | 0.928179i | \(-0.378626\pi\) |
−0.522291 | + | 0.852767i | \(0.674923\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −131.800 | − | 162.697i | −0.585776 | − | 0.723096i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 115.242 | + | 85.7943i | 0.507673 | + | 0.377948i | 0.820305 | − | 0.571926i | \(-0.193803\pi\) |
−0.312633 | + | 0.949874i | \(0.601211\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −99.4039 | + | 105.362i | −0.434078 | + | 0.460096i | −0.907076 | − | 0.420968i | \(-0.861691\pi\) |
0.472997 | + | 0.881064i | \(0.343172\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.71872 | − | 9.42116i | 0.0290854 | − | 0.0407843i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −109.199 | + | 130.139i | −0.468666 | + | 0.558535i | −0.947659 | − | 0.319284i | \(-0.896558\pi\) |
0.478993 | + | 0.877819i | \(0.341002\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −11.4339 | + | 9.59417i | −0.0486548 | + | 0.0408262i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 72.3775 | + | 82.7577i | 0.305390 | + | 0.349188i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 138.792 | + | 276.358i | 0.580720 | + | 1.15631i | 0.971768 | + | 0.235938i | \(0.0758162\pi\) |
−0.391048 | + | 0.920370i | \(0.627887\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −209.721 | + | 49.7048i | −0.870211 | + | 0.206244i | −0.641381 | − | 0.767222i | \(-0.721638\pi\) |
−0.228830 | + | 0.973466i | \(0.573490\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −158.802 | + | 183.932i | −0.653507 | + | 0.756921i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 9.12470 | + | 38.5001i | 0.0372437 | + | 0.157143i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 181.188 | − | 90.9962i | 0.733556 | − | 0.368406i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −14.9692 | + | 13.0916i | −0.0601172 | + | 0.0525768i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 164.515 | + | 196.062i | 0.655440 | + | 0.781123i | 0.986724 | − | 0.162408i | \(-0.0519262\pi\) |
−0.331284 | + | 0.943531i | \(0.607482\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 27.4212 | + | 23.0091i | 0.108384 | + | 0.0909452i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 82.8232 | + | 59.0655i | 0.324797 | + | 0.231629i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −91.5983 | − | 86.4186i | −0.356414 | − | 0.336259i | 0.487120 | − | 0.873335i | \(-0.338047\pi\) |
−0.843534 | + | 0.537076i | \(0.819529\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 146.493 | − | 196.774i | 0.565611 | − | 0.759747i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 51.0298 | + | 321.799i | 0.195516 | + | 1.23295i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 53.9252 | − | 107.374i | 0.205039 | − | 0.408266i | −0.767486 | − | 0.641066i | \(-0.778493\pi\) |
0.972525 | + | 0.232800i | \(0.0747888\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −30.1477 | + | 3.52377i | −0.113765 | + | 0.0132972i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −128.739 | + | 316.075i | −0.482168 | + | 1.18380i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −400.114 | + | 231.006i | −1.48741 | + | 0.858757i | −0.999897 | − | 0.0143575i | \(-0.995430\pi\) |
−0.487514 | + | 0.873115i | \(0.662096\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 231.413 | − | 400.819i | 0.853923 | − | 1.47904i | −0.0237184 | − | 0.999719i | \(-0.507551\pi\) |
0.877641 | − | 0.479319i | \(-0.159116\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 48.4719 | − | 224.927i | 0.177553 | − | 0.823907i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 18.9215 | + | 8.16194i | 0.0688055 | + | 0.0296798i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.49796 | − | 60.0577i | −0.0126280 | − | 0.216815i | −0.998719 | − | 0.0506064i | \(-0.983885\pi\) |
0.986091 | − | 0.166208i | \(-0.0531524\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −360.625 | − | 278.280i | −1.29256 | − | 0.997419i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −163.242 | + | 70.4158i | −0.580933 | + | 0.250590i | −0.666206 | − | 0.745767i | \(-0.732083\pi\) |
0.0852730 | + | 0.996358i | \(0.472824\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 328.753 | + | 77.9159i | 1.16167 | + | 0.275321i | 0.765858 | − | 0.643010i | \(-0.222314\pi\) |
0.395814 | + | 0.918331i | \(0.370463\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.1535 | − | 43.8400i | 0.0426438 | − | 0.153824i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 70.9198 | + | 194.850i | 0.247107 | + | 0.678922i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 351.108 | + | 127.793i | 1.21491 | + | 0.442189i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 294.115 | + | 45.6784i | 1.01070 | + | 0.156971i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −104.095 | − | 6.06285i | −0.355274 | − | 0.0206923i | −0.120420 | − | 0.992723i | \(-0.538424\pi\) |
−0.234854 | + | 0.972031i | \(0.575461\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.6713 | − | 13.4308i | −0.0429535 | − | 0.0455281i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 5.44099 | − | 23.2881i | 0.0183198 | − | 0.0784112i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 681.871 | + | 204.139i | 2.28051 | + | 0.682739i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 147.996 | + | 97.3387i | 0.491682 | + | 0.323384i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −449.158 | + | 9.18918i | −1.48237 | + | 0.0303273i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −59.8703 | + | 10.5568i | −0.196296 | + | 0.0346123i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.8221 | + | 106.746i | −0.0613099 | + | 0.347706i | 0.938686 | + | 0.344774i | \(0.112044\pi\) |
−0.999996 | + | 0.00293187i | \(0.999067\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −146.761 | − | 213.496i | −0.474956 | − | 0.690926i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −93.2358 | + | 27.9130i | −0.299793 | + | 0.0897523i | −0.433167 | − | 0.901314i | \(-0.642604\pi\) |
0.133374 | + | 0.991066i | \(0.457419\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −440.061 | − | 51.4357i | −1.40595 | − | 0.164331i | −0.620958 | − | 0.783844i | \(-0.713256\pi\) |
−0.784987 | + | 0.619512i | \(0.787330\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −30.1098 | − | 41.9372i | −0.0955868 | − | 0.133134i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −20.9355 | − | 31.8308i | −0.0660425 | − | 0.100413i | 0.800957 | − | 0.598722i | \(-0.204325\pi\) |
−0.866999 | + | 0.498310i | \(0.833954\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −19.1486 | − | 25.7210i | −0.0600270 | − | 0.0806302i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 158.382 | + | 99.5890i | 0.493401 | + | 0.310246i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 296.340i | − | 0.917460i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 409.751 | 1.26077 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −199.177 | − | 7.51687i | −0.609103 | − | 0.0229874i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 39.5786 | − | 29.4652i | 0.120300 | − | 0.0895599i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −97.9061 | + | 64.3938i | −0.295789 | + | 0.194543i | −0.688726 | − | 0.725022i | \(-0.741829\pi\) |
0.392937 | + | 0.919565i | \(0.371459\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 125.424 | − | 491.248i | 0.376649 | − | 1.47522i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −9.48135 | + | 81.1181i | −0.0283025 | + | 0.242144i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 103.067 | + | 344.268i | 0.305837 | + | 1.02157i | 0.963378 | + | 0.268147i | \(0.0864114\pi\) |
−0.657541 | + | 0.753419i | \(0.728403\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 24.0977 | + | 305.824i | 0.0710846 | + | 0.902136i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 44.1489 | + | 7.78463i | 0.129469 | + | 0.0228288i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −59.7662 | − | 338.951i | −0.174246 | − | 0.988195i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 136.646 | − | 82.6649i | 0.396077 | − | 0.239608i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −180.008 | + | 273.688i | −0.518754 | + | 0.788727i | −0.995935 | − | 0.0900779i | \(-0.971288\pi\) |
0.477181 | + | 0.878805i | \(0.341659\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 99.7425 | − | 333.163i | 0.285795 | − | 0.954623i | −0.687715 | − | 0.725980i | \(-0.741386\pi\) |
0.973511 | − | 0.228642i | \(-0.0734285\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −84.0696 | − | 468.047i | −0.239514 | − | 1.33347i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 384.472 | − | 362.731i | 1.08916 | − | 1.02757i | 0.0896547 | − | 0.995973i | \(-0.471424\pi\) |
0.999501 | − | 0.0315924i | \(-0.0100578\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 9.62424 | − | 165.242i | 0.0271105 | − | 0.465470i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −261.982 | − | 210.850i | −0.733844 | − | 0.590616i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 9.34524 | − | 25.6758i | 0.0260313 | − | 0.0715204i | −0.925996 | − | 0.377533i | \(-0.876773\pi\) |
0.952028 | + | 0.306012i | \(0.0989948\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 214.695 | − | 78.1427i | 0.594724 | − | 0.216462i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −90.3313 | − | 349.150i | −0.248847 | − | 0.961847i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 23.5958 | − | 99.5585i | 0.0646460 | − | 0.272763i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −105.196 | − | 243.873i | −0.286639 | − | 0.664503i | 0.712677 | − | 0.701492i | \(-0.247483\pi\) |
−0.999316 | + | 0.0369892i | \(0.988223\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 288.663 | + | 316.747i | 0.782286 | + | 0.858394i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 100.172 | − | 5.83435i | 0.270005 | − | 0.0157260i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 45.3015 | − | 105.021i | 0.121452 | − | 0.281557i | −0.846634 | − | 0.532175i | \(-0.821375\pi\) |
0.968086 | + | 0.250619i | \(0.0806340\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 128.025 | − | 141.383i | 0.341399 | − | 0.377022i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −552.188 | − | 318.806i | −1.46469 | − | 0.845639i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −295.427 | − | 511.695i | −0.779491 | − | 1.35012i | −0.932236 | − | 0.361852i | \(-0.882145\pi\) |
0.152745 | − | 0.988266i | \(-0.451189\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 87.7263 | + | 637.217i | 0.230253 | + | 1.67248i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2.46582 | − | 21.0964i | −0.00643817 | − | 0.0550821i | 0.989637 | − | 0.143589i | \(-0.0458644\pi\) |
−0.996076 | + | 0.0885072i | \(0.971790\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.54050 | + | 2.28033i | 0.0117935 | + | 0.00592292i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 359.385 | + | 69.7874i | 0.928642 | + | 0.180329i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 249.617 | + | 185.833i | 0.641689 | + | 0.477720i | 0.868151 | − | 0.496300i | \(-0.165308\pi\) |
−0.226462 | + | 0.974020i | \(0.572716\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 713.900 | − | 756.689i | 1.82583 | − | 1.93527i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −85.9099 | − | 188.465i | −0.218600 | − | 0.479556i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −31.0305 | + | 36.9807i | −0.0785581 | + | 0.0936219i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −103.559 | + | 86.8961i | −0.260853 | + | 0.218882i | −0.763829 | − | 0.645419i | \(-0.776683\pi\) |
0.502976 | + | 0.864301i | \(0.332239\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −48.5361 | + | 142.346i | −0.121644 | + | 0.356757i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 312.153 | + | 621.547i | 0.778435 | + | 1.54999i | 0.834145 | + | 0.551545i | \(0.185962\pi\) |
−0.0557095 | + | 0.998447i | \(0.517742\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 867.381 | − | 205.573i | 2.15231 | − | 0.510107i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −90.5073 | − | 56.5081i | −0.223475 | − | 0.139526i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 11.5073 | + | 48.5530i | 0.0282734 | + | 0.119295i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −608.719 | + | 305.710i | −1.48831 | + | 0.747457i | −0.992646 | − | 0.121057i | \(-0.961372\pi\) |
−0.495665 | + | 0.868514i | \(0.665075\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −44.3644 | − | 224.632i | −0.107943 | − | 0.546550i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 39.2366 | + | 46.7603i | 0.0950038 | + | 0.113221i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.68905 | − | 5.61278i | −0.0161182 | − | 0.0135248i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −28.5985 | + | 297.298i | −0.0685815 | + | 0.712945i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 445.414 | + | 420.227i | 1.06304 | + | 1.00293i | 0.999988 | + | 0.00491779i | \(0.00156539\pi\) |
0.0630536 | + | 0.998010i | \(0.479916\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.1951 | + | 23.0970i | −0.0408435 | + | 0.0548623i | −0.822076 | − | 0.569378i | \(-0.807184\pi\) |
0.781232 | + | 0.624240i | \(0.214591\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 52.5061 | − | 87.4219i | 0.124128 | − | 0.206671i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 268.776 | − | 535.177i | 0.632414 | − | 1.25924i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 199.615 | − | 23.3317i | 0.467483 | − | 0.0546409i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 28.7095 | + | 36.9606i | 0.0669220 | + | 0.0861551i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 476.994 | − | 275.393i | 1.10671 | − | 0.638962i | 0.168738 | − | 0.985661i | \(-0.446031\pi\) |
0.937976 | + | 0.346699i | \(0.112698\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −201.537 | + | 349.073i | −0.465444 | + | 0.806173i | −0.999221 | − | 0.0394524i | \(-0.987439\pi\) |
0.533778 | + | 0.845625i | \(0.320772\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −136.187 | + | 43.8263i | −0.313073 | + | 0.100750i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −427.185 | − | 184.270i | −0.977541 | − | 0.421670i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.6584 | + | 251.674i | 0.0333903 | + | 0.573290i | 0.972966 | + | 0.230949i | \(0.0741829\pi\) |
−0.939576 | + | 0.342342i | \(0.888780\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −144.628 | − | 228.389i | −0.327954 | − | 0.517889i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −633.762 | + | 273.378i | −1.43061 | + | 0.617107i | −0.963650 | − | 0.267169i | \(-0.913912\pi\) |
−0.466965 | + | 0.884276i | \(0.654653\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −145.817 | − | 34.5593i | −0.327679 | − | 0.0776614i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −76.1486 | − | 77.4749i | −0.170355 | − | 0.173322i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −41.8244 | − | 114.912i | −0.0931502 | − | 0.255928i | 0.884364 | − | 0.466798i | \(-0.154593\pi\) |
−0.977514 | + | 0.210870i | \(0.932370\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −39.6330 | − | 14.4252i | −0.0878781 | − | 0.0319850i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 86.3285 | + | 222.891i | 0.190571 | + | 0.492033i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 100.860 | + | 5.87442i | 0.221670 | + | 0.0129108i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 495.145 | + | 524.823i | 1.08347 | + | 1.14841i | 0.988233 | + | 0.152954i | \(0.0488785\pi\) |
0.0952342 | + | 0.995455i | \(0.469640\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −666.463 | − | 197.212i | −1.45199 | − | 0.429655i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −36.0803 | − | 10.8017i | −0.0782652 | − | 0.0234311i | 0.247431 | − | 0.968905i | \(-0.420414\pi\) |
−0.325696 | + | 0.945474i | \(0.605599\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −165.199 | − | 108.653i | −0.356800 | − | 0.234671i | 0.358435 | − | 0.933555i | \(-0.383310\pi\) |
−0.715236 | + | 0.698883i | \(0.753681\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 96.4416 | − | 175.224i | 0.207401 | − | 0.376826i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 225.643 | − | 39.7870i | 0.483176 | − | 0.0851969i | 0.0732458 | − | 0.997314i | \(-0.476664\pi\) |
0.409930 | + | 0.912117i | \(0.365553\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 46.8829 | − | 265.886i | 0.0999635 | − | 0.566921i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 282.569 | − | 592.561i | 0.599935 | − | 1.25809i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −34.5165 | + | 10.3336i | −0.0729736 | + | 0.0218469i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −266.013 | − | 31.0925i | −0.560028 | − | 0.0654578i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 186.901 | − | 89.8586i | 0.391826 | − | 0.188383i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −38.2991 | − | 58.2309i | −0.0799564 | − | 0.121568i | 0.793296 | − | 0.608837i | \(-0.208364\pi\) |
−0.873252 | + | 0.487269i | \(0.837993\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 592.491 | + | 795.853i | 1.23179 | + | 1.65458i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −466.854 | + | 246.547i | −0.966572 | + | 0.510450i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 130.692i | 0.269467i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 67.9011 | 0.139427 | 0.0697137 | − | 0.997567i | \(-0.477791\pi\) | ||||
0.0697137 | + | 0.997567i | \(0.477791\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −32.2057 | − | 60.9836i | −0.0658603 | − | 0.124711i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −618.995 | + | 460.825i | −1.26068 | + | 0.938544i | −0.999641 | − | 0.0267840i | \(-0.991473\pi\) |
−0.261042 | + | 0.965328i | \(0.584066\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −778.601 | + | 512.094i | −1.57931 | + | 1.03873i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 10.4711 | + | 0.791483i | 0.0211538 | + | 0.00159896i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −63.5245 | + | 543.487i | −0.127816 | + | 1.09353i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 79.2466 | + | 264.702i | 0.158811 | + | 0.530465i | 0.999946 | − | 0.0103593i | \(-0.00329754\pi\) |
−0.841136 | + | 0.540824i | \(0.818112\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 367.420 | + | 175.208i | 0.733374 | + | 0.349717i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 367.059 | + | 64.7224i | 0.729739 | + | 0.128673i | 0.526160 | − | 0.850386i | \(-0.323631\pi\) |
0.203579 | + | 0.979058i | \(0.434742\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −34.2544 | − | 194.266i | −0.0678304 | − | 0.384685i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 371.103 | + | 204.252i | 0.731959 | + | 0.402863i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 261.971 | − | 398.307i | 0.514677 | − | 0.782529i | −0.480870 | − | 0.876792i | \(-0.659679\pi\) |
0.995547 | + | 0.0942631i | \(0.0300495\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −97.0084 | + | 324.031i | −0.189840 | + | 0.634111i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 19.0625 | + | 310.239i | 0.0371588 | + | 0.604754i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 82.7442 | − | 78.0651i | 0.160668 | − | 0.151583i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.583561 | + | 10.0194i | −0.00112874 | + | 0.0193798i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −211.811 | + | 82.0373i | −0.408115 | + | 0.158068i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −169.007 | + | 464.342i | −0.324389 | + | 0.891251i | 0.665115 | + | 0.746741i | \(0.268383\pi\) |
−0.989503 | + | 0.144510i | \(0.953840\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 82.6741 | − | 30.0909i | 0.158077 | − | 0.0575352i | −0.261770 | − | 0.965130i | \(-0.584306\pi\) |
0.419846 | + | 0.907595i | \(0.362084\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −216.760 | + | 213.049i | −0.412876 | + | 0.405808i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 300.458 | − | 1267.73i | 0.570130 | − | 2.40557i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −437.355 | − | 1013.90i | −0.826758 | − | 1.91664i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 111.743 | + | 58.5569i | 0.210439 | + | 0.110277i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −837.230 | + | 48.7631i | −1.57079 | + | 0.0914880i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −32.5379 | + | 75.4313i | −0.0608185 | + | 0.140993i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 266.616 | + | 828.490i | 0.496492 | + | 1.54281i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 23.0407 | + | 13.3025i | 0.0427471 | + | 0.0246800i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 138.642 | + | 240.135i | 0.256270 | + | 0.443873i | 0.965240 | − | 0.261366i | \(-0.0841730\pi\) |
−0.708970 | + | 0.705239i | \(0.750840\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 65.3879 | − | 50.7908i | 0.120420 | − | 0.0935374i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −10.1603 | − | 86.9273i | −0.0186428 | − | 0.159500i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −410.687 | − | 206.255i | −0.750799 | − | 0.377065i | 0.0318795 | − | 0.999492i | \(-0.489851\pi\) |
−0.782678 | + | 0.622426i | \(0.786147\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 363.246 | − | 201.439i | 0.661650 | − | 0.366920i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 334.293 | + | 248.872i | 0.606702 | + | 0.451673i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 109.516 | − | 116.080i | 0.198040 | − | 0.209910i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 221.600 | + | 21.3167i | 0.399278 | + | 0.0384084i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −608.359 | + | 725.014i | −1.09221 | + | 1.30164i | −0.142052 | + | 0.989859i | \(0.545370\pi\) |
−0.950154 | + | 0.311781i | \(0.899074\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −548.819 | + | 460.514i | −0.981787 | + | 0.823817i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 67.1063 | − | 13.2534i | 0.119619 | − | 0.0236245i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −165.897 | − | 330.328i | −0.294666 | − | 0.586728i | 0.696774 | − | 0.717290i | \(-0.254618\pi\) |
−0.991440 | + | 0.130563i | \(0.958322\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −131.070 | + | 31.0642i | −0.231983 | + | 0.0549809i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 287.833 | + | 203.887i | 0.507643 | + | 0.359589i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −97.9687 | − | 413.363i | −0.172177 | − | 0.726472i | −0.988793 | − | 0.149291i | \(-0.952301\pi\) |
0.816616 | − | 0.577181i | \(-0.195847\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −183.309 | + | 92.0614i | −0.321032 | + | 0.161228i | −0.602016 | − | 0.798484i | \(-0.705636\pi\) |
0.280984 | + | 0.959713i | \(0.409339\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 290.777 | + | 99.1471i | 0.507465 | + | 0.173032i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −604.349 | − | 720.235i | −1.05104 | − | 1.25258i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 355.484 | + | 298.287i | 0.616091 | + | 0.516962i | 0.896572 | − | 0.442898i | \(-0.146050\pi\) |
−0.280481 | + | 0.959860i | \(0.590494\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 235.697 | − | 107.440i | 0.407076 | − | 0.185561i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 20.9965 | + | 19.8092i | 0.0361386 | + | 0.0340950i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −12.1878 | + | 16.3711i | −0.0209054 | + | 0.0280808i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 197.416 | − | 68.0171i | 0.337463 | − | 0.116268i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 64.0060 | − | 127.446i | 0.109039 | − | 0.217115i | −0.832495 | − | 0.554033i | \(-0.813088\pi\) |
0.941534 | + | 0.336918i | \(0.109384\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −578.709 | + | 67.6414i | −0.982528 | + | 0.114841i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −1074.06 | + | 147.867i | −1.81736 | + | 0.250198i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −73.1016 | + | 42.2053i | −0.123274 | + | 0.0711724i | −0.560369 | − | 0.828243i | \(-0.689341\pi\) |
0.437095 | + | 0.899415i | \(0.356007\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 73.8316 | − | 127.880i | 0.124087 | − | 0.214924i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −769.568 | − | 696.855i | −1.28906 | − | 1.16726i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −912.280 | − | 393.519i | −1.52301 | − | 0.656960i | −0.540188 | − | 0.841544i | \(-0.681647\pi\) |
−0.982817 | + | 0.184584i | \(0.940906\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 64.4266 | + | 1106.16i | 0.107199 | + | 1.84054i | 0.440543 | + | 0.897732i | \(0.354786\pi\) |
−0.333344 | + | 0.942805i | \(0.608177\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −119.289 | − | 545.095i | −0.197826 | − | 0.903972i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 145.406 | − | 62.7219i | 0.240340 | − | 0.103673i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −686.367 | − | 162.672i | −1.13075 | − | 0.267993i | −0.377684 | − | 0.925935i | \(-0.623279\pi\) |
−0.753069 | + | 0.657941i | \(0.771427\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 457.872 | − | 118.460i | 0.751843 | − | 0.194515i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 68.2552 | + | 187.530i | 0.111711 | + | 0.306922i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1102.34 | − | 401.218i | −1.79827 | − | 0.654516i | −0.998532 | − | 0.0541655i | \(-0.982750\pi\) |
−0.799737 | − | 0.600351i | \(-0.795028\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −117.981 | + | 146.593i | −0.191840 | + | 0.238362i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 200.561 | + | 11.6813i | 0.325058 | + | 0.0189324i | 0.219898 | − | 0.975523i | \(-0.429428\pi\) |
0.105160 | + | 0.994455i | \(0.466465\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −256.698 | − | 272.084i | −0.414698 | − | 0.439554i | 0.486027 | − | 0.873944i | \(-0.338446\pi\) |
−0.900725 | + | 0.434390i | \(0.856964\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −698.708 | + | 838.103i | −1.12513 | + | 1.34960i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 474.588 | + | 142.082i | 0.761778 | + | 0.228061i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −415.964 | − | 273.584i | −0.665543 | − | 0.437734i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −15.8338 | − | 26.1736i | −0.0252533 | − | 0.0417441i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 1428.11 | − | 251.814i | 2.27045 | − | 0.400341i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −122.780 | + | 696.320i | −0.194580 | + | 1.10352i | 0.718435 | + | 0.695594i | \(0.244859\pi\) |
−0.913015 | + | 0.407925i | \(0.866252\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 955.881 | − | 75.3195i | 1.51008 | − | 0.118988i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −270.570 | + | 81.0035i | −0.426095 | + | 0.127565i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 525.445 | + | 61.4157i | 0.824874 | + | 0.0964140i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 305.591 | + | 1088.82i | 0.478232 | + | 1.70395i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −591.063 | − | 898.668i | −0.922096 | − | 1.40198i | −0.915640 | − | 0.401999i | \(-0.868315\pi\) |
−0.00645568 | − | 0.999979i | \(-0.502055\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −102.096 | − | 137.138i | −0.158780 | − | 0.213279i | 0.715613 | − | 0.698497i | \(-0.246147\pi\) |
−0.874393 | + | 0.485218i | \(0.838740\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.06236 | + | 160.636i | −0.00939901 | + | 0.249048i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 56.2609i | 0.0869565i | 0.999054 | + | 0.0434783i | \(0.0138439\pi\) | ||||
−0.999054 | + | 0.0434783i | \(0.986156\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −12.4159 | −0.0191308 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −351.961 | + | 559.742i | −0.540646 | + | 0.859819i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 980.248 | − | 729.767i | 1.50115 | − | 1.11756i | 0.539948 | − | 0.841698i | \(-0.318444\pi\) |
0.961197 | − | 0.275863i | \(-0.0889636\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 75.9841 | − | 49.9755i | 0.116006 | − | 0.0762985i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 69.1556 | + | 695.626i | 0.105260 | + | 1.05879i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −37.2683 | + | 318.851i | −0.0565528 | + | 0.483840i | 0.935050 | + | 0.354517i | \(0.115355\pi\) |
−0.991602 | + | 0.129323i | \(0.958720\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −190.640 | − | 636.781i | −0.288411 | − | 0.963360i | −0.972293 | − | 0.233767i | \(-0.924895\pi\) |
0.683881 | − | 0.729593i | \(-0.260291\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1120.85 | − | 770.492i | 1.69057 | − | 1.16213i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −65.0332 | − | 11.4671i | −0.0977942 | − | 0.0172438i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 254.054 | + | 1440.81i | 0.380891 | + | 2.16014i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.29933 | + | 112.389i | 0.00343697 | + | 0.167996i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −22.4631 | + | 34.1535i | −0.0334771 | + | 0.0508995i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 145.600 | − | 486.339i | 0.216345 | − | 0.722643i | −0.779065 | − | 0.626943i | \(-0.784306\pi\) |
0.995410 | − | 0.0957002i | \(-0.0305090\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −246.956 | + | 577.567i | −0.365861 | + | 0.855655i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −149.815 | + | 141.343i | −0.221292 | + | 0.208778i | −0.788902 | − | 0.614520i | \(-0.789350\pi\) |
0.567609 | + | 0.823298i | \(0.307868\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 25.1211 | − | 431.313i | 0.0369972 | − | 0.635218i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 66.1467 | − | 425.907i | 0.0971317 | − | 0.625413i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 400.942 | − | 1101.58i | 0.587030 | − | 1.61285i | −0.188873 | − | 0.982001i | \(-0.560484\pi\) |
0.775904 | − | 0.630851i | \(-0.217294\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 94.4761 | − | 34.3865i | 0.137921 | − | 0.0501992i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 418.764 | + | 116.091i | 0.609555 | + | 0.168983i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −93.5911 | + | 394.892i | −0.135836 | + | 0.573138i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 400.083 | + | 927.497i | 0.578991 | + | 1.34225i | 0.916162 | + | 0.400809i | \(0.131271\pi\) |
−0.337170 | + | 0.941444i | \(0.609470\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −34.4050 | − | 4.62480i | −0.0496465 | − | 0.00667360i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −130.922 | + | 7.62533i | −0.188377 | + | 0.0109717i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −485.491 | + | 1125.49i | −0.696544 | + | 1.61477i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 498.214 | + | 107.366i | 0.712753 | + | 0.153599i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −827.278 | − | 477.629i | −1.18014 | − | 0.681354i | −0.224093 | − | 0.974568i | \(-0.571942\pi\) |
−0.956047 | + | 0.293214i | \(0.905275\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −324.259 | − | 561.633i | −0.461250 | − | 0.798908i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 41.4697 | + | 16.8908i | 0.0588223 | + | 0.0239586i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 75.7062 | + | 647.708i | 0.107081 | + | 0.916135i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 105.679 | + | 53.0742i | 0.149054 | + | 0.0748578i | 0.521763 | − | 0.853091i | \(-0.325275\pi\) |
−0.372709 | + | 0.927948i | \(0.621571\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 118.142 | − | 307.942i | 0.166163 | − | 0.433112i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1640.66 | − | 1221.42i | −2.30106 | − | 1.71308i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.1022 | + | 14.9474i | −0.0197233 | + | 0.0209055i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 538.680 | − | 755.351i | 0.751297 | − | 1.05349i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −217.523 | + | 259.234i | −0.302536 | + | 0.360548i | −0.895798 | − | 0.444461i | \(-0.853395\pi\) |
0.593262 | + | 0.805009i | \(0.297840\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −288.080 | + | 241.728i | −0.399557 | + | 0.335268i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 425.666 | + | 486.713i | 0.588749 | + | 0.673186i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 377.996 | + | 752.651i | 0.521373 | + | 1.03814i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 640.773 | − | 151.866i | 0.881393 | − | 0.208894i | 0.235089 | − | 0.971974i | \(-0.424462\pi\) |
0.646304 | + | 0.763080i | \(0.276314\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 710.408 | + | 163.590i | 0.974496 | + | 0.224404i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 241.481 | + | 1018.89i | 0.330343 | + | 1.39383i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −464.043 | + | 233.051i | −0.633074 | + | 0.317942i | −0.736238 | − | 0.676723i | \(-0.763400\pi\) |
0.103164 | + | 0.994664i | \(0.467103\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 89.3498 | − | 78.1428i | 0.121564 | − | 0.106317i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 35.2994 | + | 42.0682i | 0.0478960 | + | 0.0570803i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 614.828 | + | 515.902i | 0.831973 | + | 0.698108i | 0.955743 | − | 0.294203i | \(-0.0950540\pi\) |
−0.123770 | + | 0.992311i | \(0.539498\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −495.231 | − | 353.175i | −0.668327 | − | 0.476619i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −771.921 | − | 728.270i | −1.03892 | − | 0.980175i | −0.0391061 | − | 0.999235i | \(-0.512451\pi\) |
−0.999818 | + | 0.0190604i | \(0.993933\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 28.4842 | − | 38.2609i | 0.0382338 | − | 0.0513569i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 55.7005 | + | 21.3695i | 0.0745656 | + | 0.0286070i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 121.882 | − | 242.686i | 0.162726 | − | 0.324014i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 22.6115 | − | 2.64290i | 0.0301085 | − | 0.00351918i | −0.101025 | − | 0.994884i | \(-0.532212\pi\) |
0.131134 | + | 0.991365i | \(0.458138\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 289.634 | − | 711.099i | 0.384640 | − | 0.944355i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −90.8928 | + | 52.4770i | −0.120388 | + | 0.0695059i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 687.048 | − | 1190.00i | 0.907593 | − | 1.57200i | 0.0901938 | − | 0.995924i | \(-0.471251\pi\) |
0.817399 | − | 0.576072i | \(-0.195415\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 22.6228 | − | 104.978i | 0.0298060 | − | 0.138310i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −554.457 | − | 239.169i | −0.728590 | − | 0.314283i | −0.000721465 | − | 1.00000i | \(-0.500230\pi\) |
−0.727869 | + | 0.685717i | \(0.759489\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 16.8226 | + | 288.833i | 0.0220480 | + | 0.378549i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 40.6575 | − | 302.461i | 0.0531471 | − | 0.395374i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −226.690 | + | 97.7846i | −0.295554 | + | 0.127490i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1320.13 | + | 312.876i | 1.71668 | + | 0.406861i | 0.966967 | − | 0.254900i | \(-0.0820426\pi\) |
0.749715 | + | 0.661761i | \(0.230191\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −100.926 | + | 364.060i | −0.130903 | + | 0.472192i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 228.966 | + | 629.080i | 0.296205 | + | 0.813816i | 0.995125 | + | 0.0986170i | \(0.0314419\pi\) |
−0.698921 | + | 0.715199i | \(0.746336\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1106.47 | − | 402.723i | −1.42771 | − | 0.519643i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −727.233 | − | 112.945i | −0.935949 | − | 0.145360i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 547.236 | + | 31.8729i | 0.702485 | + | 0.0409151i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −76.3779 | − | 80.9559i | −0.0977950 | − | 0.103657i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 782.178 | − | 586.197i | 0.998950 | − | 0.748655i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 276.148 | + | 82.6733i | 0.351781 | + | 0.105316i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −701.183 | − | 461.175i | −0.890957 | − | 0.585991i | 0.0194019 | − | 0.999812i | \(-0.493824\pi\) |
−0.910359 | + | 0.413820i | \(0.864194\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −360.388 | + | 7.37305i | −0.456765 | + | 0.00934481i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 438.533 | − | 77.3252i | 0.554403 | − | 0.0977563i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −141.148 | + | 800.490i | −0.177992 | + | 1.00945i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 51.5834 | + | 75.0392i | 0.0648848 | + | 0.0943890i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1358.97 | − | 406.848i | 1.70510 | − | 0.510474i | 0.721745 | − | 0.692159i | \(-0.243340\pi\) |
0.983357 | + | 0.181685i | \(0.0581550\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 289.705 | + | 33.8617i | 0.362584 | + | 0.0423800i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1018.84 | − | 101.288i | 1.27196 | − | 0.126452i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −37.8055 | − | 57.4805i | −0.0470804 | − | 0.0715822i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −138.434 | − | 185.949i | −0.171968 | − | 0.230993i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1173.35 | + | 737.793i | 1.45397 | + | 0.914241i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 679.161i | − | 0.839507i | −0.907638 | − | 0.419753i | \(-0.862117\pi\) | ||
0.907638 | − | 0.419753i | \(-0.137883\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −748.216 | −0.922584 | −0.461292 | − | 0.887248i | \(-0.652614\pi\) | ||||
−0.461292 | + | 0.887248i | \(0.652614\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −1387.49 | − | 52.3635i | −1.70663 | − | 0.0644078i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 24.2900 | − | 18.0832i | 0.0298036 | − | 0.0221880i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 391.242 | − | 257.324i | 0.478876 | − | 0.314962i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −664.592 | + | 186.525i | −0.811467 | + | 0.227748i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 29.5727 | − | 253.011i | 0.0360204 | − | 0.308174i | −0.963203 | − | 0.268774i | \(-0.913381\pi\) |
0.999224 | − | 0.0393995i | \(-0.0125445\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −166.479 | − | 556.080i | −0.202283 | − | 0.675674i | −0.997585 | − | 0.0694595i | \(-0.977873\pi\) |
0.795301 | − | 0.606214i | \(-0.207313\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −4.85615 | − | 61.6294i | −0.00588624 | − | 0.0747023i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1248.36 | + | 220.119i | 1.50950 | + | 0.266166i | 0.866297 | − | 0.499530i | \(-0.166494\pi\) |
0.643204 | + | 0.765695i | \(0.277605\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 138.488 | + | 785.407i | 0.167055 | + | 0.947415i | 0.946920 | + | 0.321468i | \(0.104176\pi\) |
−0.779866 | + | 0.625947i | \(0.784713\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −154.420 | + | 93.4173i | −0.185825 | + | 0.112416i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 424.881 | − | 645.999i | 0.510061 | − | 0.775510i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −51.2619 | + | 171.227i | −0.0613915 | + | 0.205062i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −233.002 | + | 1346.52i | −0.278377 | + | 1.60875i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 9.04192 | − | 8.53061i | 0.0107770 | − | 0.0101676i | −0.680834 | − | 0.732437i | \(-0.738383\pi\) |
0.691611 | + | 0.722270i | \(0.256901\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.3050 | − | 468.808i | 0.0324673 | − | 0.557442i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 415.494 | + | 334.399i | 0.492875 | + | 0.396678i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −63.6154 | + | 174.782i | −0.0752845 | + | 0.206842i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −491.929 | + | 179.048i | −0.580790 | + | 0.211390i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −253.872 | − | 981.272i | −0.299025 | − | 1.15580i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 525.027 | − | 2215.26i | 0.616953 | − | 2.60313i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −377.627 | − | 875.437i | −0.442704 | − | 1.02630i | −0.982795 | − | 0.184697i | \(-0.940870\pi\) |
0.540091 | − | 0.841606i | \(-0.318390\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −133.325 | + | 29.1770i | −0.155936 | + | 0.0341251i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1182.15 | − | 68.8521i | 1.37940 | − | 0.0803409i | 0.647662 | − | 0.761928i | \(-0.275747\pi\) |
0.731737 | + | 0.681587i | \(0.238710\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 335.181 | − | 777.038i | 0.390200 | − | 0.904584i | −0.603995 | − | 0.796988i | \(-0.706425\pi\) |
0.994195 | − | 0.107596i | \(-0.0343153\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 417.544 | − | 461.112i | 0.484952 | − | 0.535554i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −710.752 | − | 410.353i | −0.823582 | − | 0.475495i | 0.0280679 | − | 0.999606i | \(-0.491065\pi\) |
−0.851650 | + | 0.524111i | \(0.824398\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −49.8684 | − | 86.3747i | −0.0576514 | − | 0.0998551i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −152.877 | − | 1110.45i | −0.176328 | − | 1.28079i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 3.76844 | + | 32.2411i | 0.00433652 | + | 0.0371013i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 975.815 | + | 490.073i | 1.12034 | + | 0.562655i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −290.865 | − | 844.221i | −0.333179 | − | 0.967034i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −222.077 | − | 165.331i | −0.253803 | − | 0.188949i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 888.471 | − | 941.724i | 1.01308 | − | 1.07380i | 0.0158157 | − | 0.999875i | \(-0.494965\pi\) |
0.997264 | − | 0.0739265i | \(-0.0235530\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 129.749 | + | 284.637i | 0.147610 | + | 0.323819i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −376.445 | + | 448.629i | −0.427292 | + | 0.509227i | −0.936139 | − | 0.351630i | \(-0.885628\pi\) |
0.508847 | + | 0.860857i | \(0.330072\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −136.880 | + | 114.856i | −0.155017 | + | 0.130074i | −0.716997 | − | 0.697076i | \(-0.754484\pi\) |
0.561981 | + | 0.827150i | \(0.310040\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −17.8773 | + | 52.4302i | −0.0202003 | + | 0.0592432i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 435.858 | + | 867.865i | 0.491385 | + | 0.978428i | 0.993522 | + | 0.113640i | \(0.0362509\pi\) |
−0.502137 | + | 0.864788i | \(0.667453\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 908.516 | − | 215.322i | 1.02195 | − | 0.242207i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −69.4012 | + | 18.1917i | −0.0778914 | + | 0.0204172i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −30.0817 | − | 126.925i | −0.0336862 | − | 0.142133i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −341.507 | + | 171.511i | −0.381572 | + | 0.191633i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −413.730 | − | 2094.86i | −0.461237 | − | 2.33540i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1177.77 | + | 1403.61i | 1.31009 | + | 1.56130i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 454.379 | + | 381.269i | 0.504305 | + | 0.423162i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 50.8841 | − | 528.971i | 0.0563501 | − | 0.585793i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 26.4439 | + | 24.9485i | 0.0292198 | + | 0.0275674i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.75887 | − | 2.36258i | 0.00193922 | − | 0.00260482i | −0.801153 | − | 0.598460i | \(-0.795779\pi\) |
0.803092 | + | 0.595855i | \(0.203187\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 653.626 | + | 1178.65i | 0.719061 | + | 1.29665i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 167.127 | − | 332.776i | 0.183454 | − | 0.365287i | −0.783042 | − | 0.621969i | \(-0.786333\pi\) |
0.966496 | + | 0.256682i | \(0.0826293\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −5.83175 | + | 0.681634i | −0.00638746 | + | 0.000746587i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 111.880 | + | 144.034i | 0.122274 | + | 0.157415i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −260.371 | + | 150.325i | −0.283938 | + | 0.163932i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −394.926 | + | 684.032i | −0.429735 | + | 0.744322i | −0.996849 | − | 0.0793166i | \(-0.974726\pi\) |
0.567115 | + | 0.823639i | \(0.308060\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 309.543 | − | 99.6142i | 0.336095 | − | 0.108159i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2032.10 | − | 876.561i | −2.20162 | − | 0.949687i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −76.2046 | − | 1308.38i | −0.0823834 | − | 1.41447i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −360.757 | + | 688.426i | −0.389166 | + | 0.742639i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −970.217 | + | 418.511i | −1.04437 | + | 0.450496i | −0.847979 | − | 0.530030i | \(-0.822181\pi\) |
−0.196388 | + | 0.980526i | \(0.562921\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −336.462 | − | 79.7430i | −0.361399 | − | 0.0856531i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 204.666 | + | 208.231i | 0.219364 | + | 0.223184i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 10.2726 | + | 28.2237i | 0.0109867 | + | 0.0301857i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 238.245 | + | 86.7140i | 0.254263 | + | 0.0925443i | 0.466007 | − | 0.884781i | \(-0.345692\pi\) |
−0.211744 | + | 0.977325i | \(0.567914\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 480.056 | + | 1239.45i | 0.511241 | + | 1.31997i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −200.371 | − | 11.6703i | −0.212935 | − | 0.0124020i | −0.0486540 | − | 0.998816i | \(-0.515493\pi\) |
−0.164280 | + | 0.986414i | \(0.552530\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1320.56 | + | 1399.71i | 1.40038 | + | 1.48432i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −69.0684 | + | 138.627i | −0.0730883 | + | 0.146696i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −1352.38 | − | 404.877i | −1.42807 | − | 0.427536i | −0.522831 | − | 0.852437i | \(-0.675124\pi\) |
−0.905240 | + | 0.424900i | \(0.860309\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1142.96 | − | 751.734i | −1.20438 | − | 0.792133i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −55.1112 | + | 100.131i | −0.0579507 | + | 0.105290i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −325.122 | + | 57.3279i | −0.341157 | + | 0.0601551i | −0.341602 | − | 0.939845i | \(-0.610969\pi\) |
0.000445092 | 1.00000i | \(0.499858\pi\) | ||||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −23.4244 | + | 132.847i | −0.0245282 | + | 0.139106i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −41.4064 | + | 86.8313i | −0.0432669 | + | 0.0907328i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −318.403 | + | 95.3235i | −0.332015 | + | 0.0993989i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −1589.78 | − | 185.819i | −1.65430 | − | 0.193360i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 42.3042 | − | 559.674i | 0.0439296 | − | 0.581178i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 62.5000 | + | 95.0267i | 0.0647669 | + | 0.0984732i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 165.594 | + | 222.431i | 0.171245 | + | 0.230022i | 0.879458 | − | 0.475977i | \(-0.157906\pi\) |
−0.708212 | + | 0.705999i | \(0.750498\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −786.129 | + | 415.158i | −0.811278 | + | 0.428439i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1088.17i | 1.12067i | 0.828266 | + | 0.560335i | \(0.189328\pi\) | ||||
−0.828266 | + | 0.560335i | \(0.810672\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 433.538 | 0.445569 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −574.041 | − | 1086.99i | −0.588760 | − | 1.11486i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 72.1768 | − | 53.7336i | 0.0738759 | − | 0.0549986i | −0.559587 | − | 0.828772i | \(-0.689040\pi\) |
0.633463 | + | 0.773773i | \(0.281633\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −84.1882 | + | 55.3715i | −0.0859941 | + | 0.0565592i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 259.096 | + | 538.906i | 0.264114 | + | 0.549343i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −213.541 | + | 1826.96i | −0.217234 | + | 1.85856i | 0.242042 | + | 0.970266i | \(0.422183\pi\) |
−0.459276 | + | 0.888294i | \(0.651891\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −136.535 | − | 456.060i | −0.138615 | − | 0.463005i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −133.613 | − | 63.7148i | −0.135373 | − | 0.0645540i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1618.93 | + | 285.460i | 1.63693 | + | 0.288635i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −93.5646 | − | 530.631i | −0.0944143 | − | 0.535450i | −0.994925 | − | 0.100617i | \(-0.967918\pi\) |
0.900511 | − | 0.434833i | \(-0.143193\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 307.986 | + | 169.512i | 0.310157 | + | 0.170707i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 250.500 | − | 380.866i | 0.251759 | − | 0.382780i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −4.53903 | + | 15.1614i | −0.00455269 | + | 0.0152070i | −0.960236 | − | 0.279191i | \(-0.909934\pi\) |
0.955683 | + | 0.294398i | \(0.0951190\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −1478.89 | + | 355.491i | −1.48037 | + | 0.355846i |
(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 | 324.3.o.a.5.7 | ✓ | 324 | |
81.65 | odd | 54 | inner | 324.3.o.a.65.7 | yes | 324 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
324.3.o.a.5.7 | ✓ | 324 | 1.1 | even | 1 | trivial | |
324.3.o.a.65.7 | yes | 324 | 81.65 | odd | 54 | inner |