Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [37,4,Mod(3,37)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(37, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("37.3");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 37 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 37.h (of order \(18\), degree \(6\), 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: | \(2.18307067021\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 37.3 |
Dual form | 37.4.h.a.25.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/37\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.746486 | + | 0.889628i | −0.263923 | + | 0.314531i | −0.881689 | − | 0.471831i | \(-0.843593\pi\) |
0.617766 | + | 0.786362i | \(0.288038\pi\) | |||||||
\(3\) | 3.53224 | − | 2.96390i | 0.679780 | − | 0.570403i | −0.236162 | − | 0.971714i | \(-0.575890\pi\) |
0.915942 | + | 0.401310i | \(0.131445\pi\) | |||||||
\(4\) | 1.15499 | + | 6.55027i | 0.144374 | + | 0.818784i | ||||
\(5\) | 3.46112 | − | 9.50934i | 0.309572 | − | 0.850541i | −0.683168 | − | 0.730261i | \(-0.739398\pi\) |
0.992740 | − | 0.120280i | \(-0.0383793\pi\) | |||||||
\(6\) | 5.35489i | 0.364354i | ||||||||
\(7\) | 25.4052 | + | 9.24674i | 1.37175 | + | 0.499277i | 0.919668 | − | 0.392698i | \(-0.128458\pi\) |
0.452085 | + | 0.891975i | \(0.350680\pi\) | |||||||
\(8\) | −14.7354 | − | 8.50748i | −0.651218 | − | 0.375981i | ||||
\(9\) | −0.996488 | + | 5.65136i | −0.0369070 | + | 0.209310i | ||||
\(10\) | 5.87610 | + | 10.1777i | 0.185818 | + | 0.321847i | ||||
\(11\) | 13.3158 | − | 23.0636i | 0.364987 | − | 0.632176i | −0.623787 | − | 0.781594i | \(-0.714407\pi\) |
0.988774 | + | 0.149418i | \(0.0477401\pi\) | |||||||
\(12\) | 23.4941 | + | 19.7139i | 0.565180 | + | 0.474242i | ||||
\(13\) | −46.5477 | + | 8.20762i | −0.993078 | + | 0.175106i | −0.646499 | − | 0.762914i | \(-0.723768\pi\) |
−0.346579 | + | 0.938021i | \(0.612657\pi\) | |||||||
\(14\) | −27.1908 | + | 15.6986i | −0.519075 | + | 0.299688i | ||||
\(15\) | −15.9593 | − | 43.8477i | −0.274711 | − | 0.754762i | ||||
\(16\) | −31.4333 | + | 11.4408i | −0.491146 | + | 0.178762i | ||||
\(17\) | −73.6547 | − | 12.9873i | −1.05082 | − | 0.185287i | −0.378538 | − | 0.925586i | \(-0.623573\pi\) |
−0.672278 | + | 0.740298i | \(0.734684\pi\) | |||||||
\(18\) | −4.28374 | − | 5.10517i | −0.0560938 | − | 0.0668500i | ||||
\(19\) | −73.1037 | − | 87.1216i | −0.882692 | − | 1.05195i | −0.998278 | − | 0.0586536i | \(-0.981319\pi\) |
0.115587 | − | 0.993297i | \(-0.463125\pi\) | |||||||
\(20\) | 66.2863 | + | 11.6881i | 0.741104 | + | 0.130677i | ||||
\(21\) | 117.144 | − | 42.6369i | 1.21728 | − | 0.443054i | ||||
\(22\) | 10.5780 | + | 29.0627i | 0.102510 | + | 0.281645i | ||||
\(23\) | −53.1321 | + | 30.6758i | −0.481688 | + | 0.278102i | −0.721119 | − | 0.692811i | \(-0.756372\pi\) |
0.239432 | + | 0.970913i | \(0.423039\pi\) | |||||||
\(24\) | −77.2643 | + | 13.6238i | −0.657146 | + | 0.115873i | ||||
\(25\) | 17.3073 | + | 14.5226i | 0.138458 | + | 0.116180i | ||||
\(26\) | 27.4455 | − | 47.5370i | 0.207019 | − | 0.358568i | ||||
\(27\) | 75.4790 | + | 130.733i | 0.537997 | + | 0.931839i | ||||
\(28\) | −31.2259 | + | 177.091i | −0.210755 | + | 1.19525i | ||||
\(29\) | 169.777 | + | 98.0211i | 1.08713 | + | 0.627657i | 0.932812 | − | 0.360363i | \(-0.117347\pi\) |
0.154322 | + | 0.988021i | \(0.450681\pi\) | |||||||
\(30\) | 50.9215 | + | 18.5339i | 0.309898 | + | 0.112794i | ||||
\(31\) | 31.0341i | 0.179803i | 0.995951 | + | 0.0899015i | \(0.0286552\pi\) | ||||
−0.995951 | + | 0.0899015i | \(0.971345\pi\) | |||||||
\(32\) | 59.8422 | − | 164.415i | 0.330584 | − | 0.908273i | ||||
\(33\) | −21.3237 | − | 120.933i | −0.112484 | − | 0.637931i | ||||
\(34\) | 66.5361 | − | 55.8304i | 0.335613 | − | 0.281613i | ||||
\(35\) | 175.861 | − | 209.583i | 0.849312 | − | 1.01217i | ||||
\(36\) | −38.1689 | −0.176708 | ||||||||
\(37\) | −179.293 | − | 136.041i | −0.796636 | − | 0.604459i | ||||
\(38\) | 132.077 | 0.563833 | ||||||||
\(39\) | −140.091 | + | 166.954i | −0.575194 | + | 0.685489i | ||||
\(40\) | −131.901 | + | 110.678i | −0.521386 | + | 0.437495i | ||||
\(41\) | −56.8110 | − | 322.191i | −0.216400 | − | 1.22726i | −0.878461 | − | 0.477814i | \(-0.841429\pi\) |
0.662062 | − | 0.749449i | \(-0.269682\pi\) | |||||||
\(42\) | −49.5153 | + | 136.042i | −0.181914 | + | 0.499804i | ||||
\(43\) | 376.457i | 1.33510i | 0.744566 | + | 0.667548i | \(0.232656\pi\) | ||||
−0.744566 | + | 0.667548i | \(0.767344\pi\) | |||||||
\(44\) | 166.452 | + | 60.5837i | 0.570310 | + | 0.207576i | ||||
\(45\) | 50.2918 | + | 29.0360i | 0.166601 | + | 0.0961873i | ||||
\(46\) | 12.3723 | − | 70.1669i | 0.0396565 | − | 0.224903i | ||||
\(47\) | −116.127 | − | 201.137i | −0.360401 | − | 0.624232i | 0.627626 | − | 0.778515i | \(-0.284027\pi\) |
−0.988027 | + | 0.154283i | \(0.950693\pi\) | |||||||
\(48\) | −77.1207 | + | 133.577i | −0.231904 | + | 0.401670i | ||||
\(49\) | 297.169 | + | 249.355i | 0.866383 | + | 0.726981i | ||||
\(50\) | −25.8393 | + | 4.55617i | −0.0730847 | + | 0.0128868i | ||||
\(51\) | −298.659 | + | 172.431i | −0.820013 | + | 0.473435i | ||||
\(52\) | −107.524 | − | 295.421i | −0.286749 | − | 0.787836i | ||||
\(53\) | 99.4265 | − | 36.1883i | 0.257685 | − | 0.0937895i | −0.209948 | − | 0.977713i | \(-0.567329\pi\) |
0.467632 | + | 0.883923i | \(0.345107\pi\) | |||||||
\(54\) | −172.648 | − | 30.4425i | −0.435082 | − | 0.0767167i | ||||
\(55\) | −173.232 | − | 206.450i | −0.424702 | − | 0.506140i | ||||
\(56\) | −295.689 | − | 352.389i | −0.705592 | − | 0.840891i | ||||
\(57\) | −516.440 | − | 91.0623i | −1.20007 | − | 0.211605i | ||||
\(58\) | −213.939 | + | 77.8674i | −0.484337 | + | 0.176284i | ||||
\(59\) | 69.8154 | + | 191.816i | 0.154054 | + | 0.423260i | 0.992579 | − | 0.121603i | \(-0.0388036\pi\) |
−0.838525 | + | 0.544864i | \(0.816581\pi\) | |||||||
\(60\) | 268.782 | − | 155.181i | 0.578326 | − | 0.333897i | ||||
\(61\) | 787.347 | − | 138.830i | 1.65261 | − | 0.291400i | 0.731834 | − | 0.681483i | \(-0.238665\pi\) |
0.920780 | + | 0.390083i | \(0.127554\pi\) | |||||||
\(62\) | −27.6088 | − | 23.1665i | −0.0565536 | − | 0.0474541i | ||||
\(63\) | −77.5727 | + | 134.360i | −0.155131 | + | 0.268694i | ||||
\(64\) | −32.2058 | − | 55.7821i | −0.0629020 | − | 0.108949i | ||||
\(65\) | −83.0581 | + | 471.046i | −0.158494 | + | 0.898862i | ||||
\(66\) | 123.503 | + | 71.3045i | 0.230336 | + | 0.132985i | ||||
\(67\) | 96.9310 | + | 35.2800i | 0.176746 | + | 0.0643304i | 0.428877 | − | 0.903363i | \(-0.358909\pi\) |
−0.252131 | + | 0.967693i | \(0.581131\pi\) | |||||||
\(68\) | − | 497.458i | − | 0.887143i | ||||||
\(69\) | −96.7553 | + | 265.833i | −0.168811 | + | 0.463805i | ||||
\(70\) | 55.1729 | + | 312.901i | 0.0942061 | + | 0.534269i | ||||
\(71\) | −529.919 | + | 444.654i | −0.885771 | + | 0.743250i | −0.967357 | − | 0.253416i | \(-0.918446\pi\) |
0.0815861 | + | 0.996666i | \(0.474001\pi\) | |||||||
\(72\) | 62.7625 | − | 74.7974i | 0.102731 | − | 0.122430i | ||||
\(73\) | 260.541 | 0.417726 | 0.208863 | − | 0.977945i | \(-0.433024\pi\) | ||||
0.208863 | + | 0.977945i | \(0.433024\pi\) | |||||||
\(74\) | 254.865 | − | 57.9510i | 0.400371 | − | 0.0910360i | ||||
\(75\) | 104.177 | 0.160391 | ||||||||
\(76\) | 486.236 | − | 579.474i | 0.733883 | − | 0.874608i | ||||
\(77\) | 551.553 | − | 462.808i | 0.816303 | − | 0.684959i | ||||
\(78\) | −43.9509 | − | 249.258i | −0.0638008 | − | 0.361832i | ||||
\(79\) | −166.677 | + | 457.940i | −0.237375 | + | 0.652181i | 0.762611 | + | 0.646857i | \(0.223917\pi\) |
−0.999986 | + | 0.00532409i | \(0.998305\pi\) | |||||||
\(80\) | 338.508i | 0.473080i | ||||||||
\(81\) | 508.494 | + | 185.077i | 0.697523 | + | 0.253878i | ||||
\(82\) | 329.039 | + | 189.971i | 0.443125 | + | 0.255838i | ||||
\(83\) | 254.700 | − | 1444.48i | 0.336831 | − | 1.91027i | −0.0715172 | − | 0.997439i | \(-0.522784\pi\) |
0.408349 | − | 0.912826i | \(-0.366105\pi\) | |||||||
\(84\) | 414.583 | + | 718.079i | 0.538508 | + | 0.932724i | ||||
\(85\) | −378.428 | + | 655.457i | −0.482898 | + | 0.836403i | ||||
\(86\) | −334.907 | − | 281.020i | −0.419929 | − | 0.352362i | ||||
\(87\) | 890.220 | − | 156.970i | 1.09703 | − | 0.193436i | ||||
\(88\) | −392.426 | + | 226.567i | −0.475372 | + | 0.274456i | ||||
\(89\) | 270.155 | + | 742.246i | 0.321757 | + | 0.884021i | 0.990125 | + | 0.140190i | \(0.0447713\pi\) |
−0.668367 | + | 0.743831i | \(0.733007\pi\) | |||||||
\(90\) | −63.3733 | + | 23.0660i | −0.0742237 | + | 0.0270152i | ||||
\(91\) | −1258.45 | − | 221.898i | −1.44968 | − | 0.255618i | ||||
\(92\) | −262.302 | − | 312.600i | −0.297249 | − | 0.354247i | ||||
\(93\) | 91.9821 | + | 109.620i | 0.102560 | + | 0.122227i | ||||
\(94\) | 265.624 | + | 46.8367i | 0.291458 | + | 0.0513919i | ||||
\(95\) | −1081.49 | + | 393.630i | −1.16798 | + | 0.425112i | ||||
\(96\) | −275.933 | − | 758.120i | −0.293357 | − | 0.805993i | ||||
\(97\) | 139.370 | − | 80.4654i | 0.145885 | − | 0.0842270i | −0.425281 | − | 0.905062i | \(-0.639825\pi\) |
0.571166 | + | 0.820835i | \(0.306491\pi\) | |||||||
\(98\) | −443.665 | + | 78.2302i | −0.457316 | + | 0.0806372i | ||||
\(99\) | 117.072 | + | 98.2348i | 0.118850 | + | 0.0997270i | ||||
\(100\) | −75.1369 | + | 130.141i | −0.0751369 | + | 0.130141i | ||||
\(101\) | 415.054 | + | 718.894i | 0.408905 | + | 0.708244i | 0.994767 | − | 0.102167i | \(-0.0325775\pi\) |
−0.585863 | + | 0.810410i | \(0.699244\pi\) | |||||||
\(102\) | 69.5456 | − | 394.413i | 0.0675102 | − | 0.382870i | ||||
\(103\) | −924.632 | − | 533.836i | −0.884531 | − | 0.510684i | −0.0123813 | − | 0.999923i | \(-0.503941\pi\) |
−0.872150 | + | 0.489239i | \(0.837275\pi\) | |||||||
\(104\) | 755.725 | + | 275.061i | 0.712548 | + | 0.259346i | ||||
\(105\) | − | 1261.53i | − | 1.17250i | ||||||
\(106\) | −42.0264 | + | 115.467i | −0.0385091 | + | 0.105803i | ||||
\(107\) | 63.0642 | + | 357.655i | 0.0569780 | + | 0.323138i | 0.999953 | − | 0.00972609i | \(-0.00309596\pi\) |
−0.942975 | + | 0.332864i | \(0.891985\pi\) | |||||||
\(108\) | −769.162 | + | 645.403i | −0.685302 | + | 0.575037i | ||||
\(109\) | 950.666 | − | 1132.96i | 0.835388 | − | 0.995576i | −0.164570 | − | 0.986365i | \(-0.552624\pi\) |
0.999958 | − | 0.00921089i | \(-0.00293196\pi\) | |||||||
\(110\) | 312.979 | 0.271285 | ||||||||
\(111\) | −1036.52 | + | 50.8763i | −0.886323 | + | 0.0435042i | ||||
\(112\) | −904.360 | −0.762982 | ||||||||
\(113\) | 246.681 | − | 293.983i | 0.205361 | − | 0.244739i | −0.653527 | − | 0.756903i | \(-0.726711\pi\) |
0.858888 | + | 0.512164i | \(0.171156\pi\) | |||||||
\(114\) | 466.527 | − | 391.463i | 0.383283 | − | 0.321612i | ||||
\(115\) | 107.811 | + | 611.424i | 0.0874208 | + | 0.495788i | ||||
\(116\) | −445.974 | + | 1225.30i | −0.356962 | + | 0.980745i | ||||
\(117\) | − | 271.237i | − | 0.214324i | ||||||
\(118\) | −222.761 | − | 81.0785i | −0.173787 | − | 0.0632532i | ||||
\(119\) | −1751.12 | − | 1011.01i | −1.34895 | − | 0.778817i | ||||
\(120\) | −137.868 | + | 781.886i | −0.104879 | + | 0.594801i | ||||
\(121\) | 310.880 | + | 538.461i | 0.233569 | + | 0.404554i | ||||
\(122\) | −464.236 | + | 804.080i | −0.344508 | + | 0.596705i | ||||
\(123\) | −1155.61 | − | 969.675i | −0.847139 | − | 0.710834i | ||||
\(124\) | −203.282 | + | 35.8441i | −0.147220 | + | 0.0259588i | ||||
\(125\) | 1293.48 | − | 746.794i | 0.925542 | − | 0.534362i | ||||
\(126\) | −61.6233 | − | 169.309i | −0.0435701 | − | 0.119708i | ||||
\(127\) | 1697.24 | − | 617.743i | 1.18587 | − | 0.431621i | 0.327597 | − | 0.944817i | \(-0.393761\pi\) |
0.858271 | + | 0.513197i | \(0.171539\pi\) | |||||||
\(128\) | 1452.14 | + | 256.051i | 1.00275 | + | 0.176812i | ||||
\(129\) | 1115.78 | + | 1329.74i | 0.761544 | + | 0.907572i | ||||
\(130\) | −357.054 | − | 425.520i | −0.240890 | − | 0.287081i | ||||
\(131\) | −405.005 | − | 71.4132i | −0.270118 | − | 0.0476290i | 0.0369486 | − | 0.999317i | \(-0.488236\pi\) |
−0.307066 | + | 0.951688i | \(0.599347\pi\) | |||||||
\(132\) | 767.514 | − | 279.352i | 0.506088 | − | 0.184201i | ||||
\(133\) | −1051.62 | − | 2889.31i | −0.685619 | − | 1.88372i | ||||
\(134\) | −103.744 | + | 59.8965i | −0.0668813 | + | 0.0386139i | ||||
\(135\) | 1504.43 | − | 265.272i | 0.959116 | − | 0.169118i | ||||
\(136\) | 974.841 | + | 817.989i | 0.614647 | + | 0.515750i | ||||
\(137\) | −1402.17 | + | 2428.62i | −0.874418 | + | 1.51454i | −0.0170357 | + | 0.999855i | \(0.505423\pi\) |
−0.857382 | + | 0.514681i | \(0.827910\pi\) | |||||||
\(138\) | −164.266 | − | 284.517i | −0.101328 | − | 0.175505i | ||||
\(139\) | −502.204 | + | 2848.14i | −0.306449 | + | 1.73796i | 0.310156 | + | 0.950686i | \(0.399619\pi\) |
−0.616605 | + | 0.787273i | \(0.711492\pi\) | |||||||
\(140\) | 1575.94 | + | 909.870i | 0.951367 | + | 0.549272i | ||||
\(141\) | −1006.34 | − | 366.278i | −0.601057 | − | 0.218767i | ||||
\(142\) | − | 803.359i | − | 0.474763i | ||||||
\(143\) | −430.522 | + | 1182.85i | −0.251762 | + | 0.691712i | ||||
\(144\) | −33.3332 | − | 189.042i | −0.0192900 | − | 0.109399i | ||||
\(145\) | 1519.74 | − | 1275.21i | 0.870394 | − | 0.730348i | ||||
\(146\) | −194.490 | + | 231.784i | −0.110247 | + | 0.131388i | ||||
\(147\) | 1788.74 | 1.00362 | ||||||||
\(148\) | 684.024 | − | 1331.54i | 0.379908 | − | 0.739541i | ||||
\(149\) | 1203.89 | 0.661925 | 0.330963 | − | 0.943644i | \(-0.392627\pi\) | ||||
0.330963 | + | 0.943644i | \(0.392627\pi\) | |||||||
\(150\) | −77.7667 | + | 92.6788i | −0.0423308 | + | 0.0504479i | ||||
\(151\) | 1270.76 | − | 1066.30i | 0.684856 | − | 0.574662i | −0.232565 | − | 0.972581i | \(-0.574712\pi\) |
0.917421 | + | 0.397919i | \(0.130267\pi\) | |||||||
\(152\) | 336.026 | + | 1905.70i | 0.179311 | + | 1.01693i | ||||
\(153\) | 146.792 | − | 403.308i | 0.0775649 | − | 0.213108i | ||||
\(154\) | 836.156i | 0.437529i | ||||||||
\(155\) | 295.114 | + | 107.413i | 0.152930 | + | 0.0556619i | ||||
\(156\) | −1255.40 | − | 724.805i | −0.644310 | − | 0.371993i | ||||
\(157\) | −164.374 | + | 932.210i | −0.0835570 | + | 0.473875i | 0.914102 | + | 0.405485i | \(0.132897\pi\) |
−0.997659 | + | 0.0683903i | \(0.978214\pi\) | |||||||
\(158\) | −282.974 | − | 490.126i | −0.142483 | − | 0.246787i | ||||
\(159\) | 243.940 | − | 422.516i | 0.121671 | − | 0.210740i | ||||
\(160\) | −1356.36 | − | 1138.12i | −0.670184 | − | 0.562352i | ||||
\(161\) | −1633.48 | + | 288.027i | −0.799606 | + | 0.140992i | ||||
\(162\) | −544.233 | + | 314.213i | −0.263945 | + | 0.152388i | ||||
\(163\) | 316.927 | + | 870.750i | 0.152292 | + | 0.418419i | 0.992254 | − | 0.124226i | \(-0.0396449\pi\) |
−0.839962 | + | 0.542646i | \(0.817423\pi\) | |||||||
\(164\) | 2044.82 | − | 744.255i | 0.973621 | − | 0.354369i | ||||
\(165\) | −1223.80 | − | 215.788i | −0.577408 | − | 0.101813i | ||||
\(166\) | 1094.92 | + | 1304.87i | 0.511940 | + | 0.610106i | ||||
\(167\) | −1925.60 | − | 2294.84i | −0.892261 | − | 1.06336i | −0.997622 | − | 0.0689211i | \(-0.978044\pi\) |
0.105361 | − | 0.994434i | \(-0.466400\pi\) | |||||||
\(168\) | −2088.89 | − | 368.328i | −0.959295 | − | 0.169150i | ||||
\(169\) | 34.8210 | − | 12.6738i | 0.0158493 | − | 0.00576869i | ||||
\(170\) | −300.621 | − | 825.950i | −0.135627 | − | 0.372632i | ||||
\(171\) | 565.203 | − | 326.320i | 0.252761 | − | 0.145932i | ||||
\(172\) | −2465.90 | + | 434.804i | −1.09316 | + | 0.192753i | ||||
\(173\) | −2951.14 | − | 2476.30i | −1.29694 | − | 1.08826i | −0.990665 | − | 0.136322i | \(-0.956472\pi\) |
−0.306278 | − | 0.951942i | \(-0.599084\pi\) | |||||||
\(174\) | −524.892 | + | 909.140i | −0.228690 | + | 0.396102i | ||||
\(175\) | 305.409 | + | 528.985i | 0.131924 | + | 0.228500i | ||||
\(176\) | −154.693 | + | 877.308i | −0.0662525 | + | 0.375736i | ||||
\(177\) | 815.130 | + | 470.616i | 0.346152 | + | 0.199851i | ||||
\(178\) | −861.990 | − | 313.739i | −0.362971 | − | 0.132111i | ||||
\(179\) | 2520.83i | 1.05260i | 0.850298 | + | 0.526301i | \(0.176422\pi\) | ||||
−0.850298 | + | 0.526301i | \(0.823578\pi\) | |||||||
\(180\) | −132.107 | + | 362.961i | −0.0547038 | + | 0.150297i | ||||
\(181\) | −464.383 | − | 2633.65i | −0.190704 | − | 1.08153i | −0.918406 | − | 0.395640i | \(-0.870523\pi\) |
0.727702 | − | 0.685893i | \(-0.240588\pi\) | |||||||
\(182\) | 1136.82 | − | 953.906i | 0.463004 | − | 0.388507i | ||||
\(183\) | 2369.62 | − | 2824.00i | 0.957198 | − | 1.14074i | ||||
\(184\) | 1043.90 | 0.418245 | ||||||||
\(185\) | −1914.21 | + | 1234.10i | −0.760734 | + | 0.490448i | ||||
\(186\) | −166.184 | −0.0655120 | ||||||||
\(187\) | −1280.30 | + | 1525.81i | −0.500668 | + | 0.596673i | ||||
\(188\) | 1183.38 | − | 992.973i | 0.459079 | − | 0.385213i | ||||
\(189\) | 708.701 | + | 4019.24i | 0.272754 | + | 1.54686i | ||||
\(190\) | 457.133 | − | 1255.96i | 0.174547 | − | 0.479564i | ||||
\(191\) | − | 286.171i | − | 0.108412i | −0.998530 | − | 0.0542058i | \(-0.982737\pi\) | ||
0.998530 | − | 0.0542058i | \(-0.0172627\pi\) | |||||||
\(192\) | −279.091 | − | 101.581i | −0.104905 | − | 0.0381822i | ||||
\(193\) | 1830.41 | + | 1056.79i | 0.682671 | + | 0.394140i | 0.800861 | − | 0.598851i | \(-0.204376\pi\) |
−0.118190 | + | 0.992991i | \(0.537709\pi\) | |||||||
\(194\) | −32.4536 | + | 184.054i | −0.0120105 | + | 0.0681149i | ||||
\(195\) | 1102.75 | + | 1910.02i | 0.404973 | + | 0.701434i | ||||
\(196\) | −1290.11 | + | 2234.54i | −0.470158 | + | 0.814337i | ||||
\(197\) | −3735.13 | − | 3134.15i | −1.35085 | − | 1.13350i | −0.978694 | − | 0.205325i | \(-0.934175\pi\) |
−0.372154 | − | 0.928171i | \(-0.621381\pi\) | |||||||
\(198\) | −174.785 | + | 30.8193i | −0.0627344 | + | 0.0110618i | ||||
\(199\) | 1555.07 | − | 897.818i | 0.553949 | − | 0.319822i | −0.196764 | − | 0.980451i | \(-0.563043\pi\) |
0.750713 | + | 0.660628i | \(0.229710\pi\) | |||||||
\(200\) | −131.480 | − | 361.237i | −0.0464850 | − | 0.127717i | ||||
\(201\) | 446.950 | − | 162.677i | 0.156843 | − | 0.0570862i | ||||
\(202\) | −949.380 | − | 167.401i | −0.330684 | − | 0.0583085i | ||||
\(203\) | 3406.86 | + | 4060.13i | 1.17790 | + | 1.40377i | ||||
\(204\) | −1474.42 | − | 1757.14i | −0.506029 | − | 0.603062i | ||||
\(205\) | −3260.45 | − | 574.906i | −1.11083 | − | 0.195869i | ||||
\(206\) | 1165.14 | − | 424.076i | 0.394074 | − | 0.143431i | ||||
\(207\) | −120.415 | − | 330.837i | −0.0404319 | − | 0.111086i | ||||
\(208\) | 1369.25 | − | 790.536i | 0.456444 | − | 0.263528i | ||||
\(209\) | −2982.77 | + | 525.943i | −0.987189 | + | 0.174068i | ||||
\(210\) | 1122.29 | + | 941.716i | 0.368789 | + | 0.309450i | ||||
\(211\) | 1692.95 | − | 2932.28i | 0.552359 | − | 0.956714i | −0.445745 | − | 0.895160i | \(-0.647061\pi\) |
0.998104 | − | 0.0615536i | \(-0.0196055\pi\) | |||||||
\(212\) | 351.880 | + | 609.474i | 0.113996 | + | 0.197447i | ||||
\(213\) | −553.888 | + | 3141.25i | −0.178177 | + | 1.01049i | ||||
\(214\) | −365.256 | − | 210.881i | −0.116675 | − | 0.0673622i | ||||
\(215\) | 3579.86 | + | 1302.96i | 1.13555 | + | 0.413308i | ||||
\(216\) | − | 2568.54i | − | 0.809108i | ||||||
\(217\) | −286.964 | + | 788.428i | −0.0897715 | + | 0.246645i | ||||
\(218\) | 298.253 | + | 1691.48i | 0.0926617 | + | 0.525510i | ||||
\(219\) | 920.293 | − | 772.218i | 0.283962 | − | 0.238272i | ||||
\(220\) | 1152.22 | − | 1373.17i | 0.353104 | − | 0.420813i | ||||
\(221\) | 3535.05 | 1.07599 | ||||||||
\(222\) | 728.485 | − | 960.093i | 0.220237 | − | 0.290258i | ||||
\(223\) | −5170.98 | −1.55280 | −0.776400 | − | 0.630240i | \(-0.782957\pi\) | ||||
−0.776400 | + | 0.630240i | \(0.782957\pi\) | |||||||
\(224\) | 3040.61 | − | 3623.65i | 0.906960 | − | 1.08087i | ||||
\(225\) | −99.3187 | + | 83.3383i | −0.0294278 | + | 0.0246928i | ||||
\(226\) | 77.3913 | + | 438.908i | 0.0227787 | + | 0.129185i | ||||
\(227\) | −1174.27 | + | 3226.28i | −0.343343 | + | 0.943328i | 0.641074 | + | 0.767479i | \(0.278489\pi\) |
−0.984417 | + | 0.175849i | \(0.943733\pi\) | |||||||
\(228\) | − | 3488.00i | − | 1.01315i | ||||||
\(229\) | 6253.47 | + | 2276.08i | 1.80454 | + | 0.656800i | 0.997829 | + | 0.0658603i | \(0.0209792\pi\) |
0.806715 | + | 0.590940i | \(0.201243\pi\) | |||||||
\(230\) | −624.419 | − | 360.508i | −0.179013 | − | 0.103353i | ||||
\(231\) | 576.501 | − | 3269.50i | 0.164203 | − | 0.931244i | ||||
\(232\) | −1667.83 | − | 2888.76i | −0.471974 | − | 0.817484i | ||||
\(233\) | −1128.33 | + | 1954.33i | −0.317252 | + | 0.549496i | −0.979914 | − | 0.199423i | \(-0.936093\pi\) |
0.662662 | + | 0.748919i | \(0.269427\pi\) | |||||||
\(234\) | 241.300 | + | 202.475i | 0.0674114 | + | 0.0565649i | ||||
\(235\) | −2314.61 | + | 408.129i | −0.642505 | + | 0.113291i | ||||
\(236\) | −1175.81 | + | 678.856i | −0.324317 | + | 0.187245i | ||||
\(237\) | 768.548 | + | 2111.57i | 0.210644 | + | 0.578739i | ||||
\(238\) | 2206.61 | − | 803.141i | 0.600981 | − | 0.218739i | ||||
\(239\) | −3900.12 | − | 687.696i | −1.05555 | − | 0.186123i | −0.381172 | − | 0.924504i | \(-0.624479\pi\) |
−0.674383 | + | 0.738382i | \(0.735590\pi\) | |||||||
\(240\) | 1003.31 | + | 1195.69i | 0.269846 | + | 0.321590i | ||||
\(241\) | 1016.49 | + | 1211.41i | 0.271692 | + | 0.323790i | 0.884588 | − | 0.466374i | \(-0.154440\pi\) |
−0.612895 | + | 0.790164i | \(0.709995\pi\) | |||||||
\(242\) | −711.097 | − | 125.386i | −0.188889 | − | 0.0333062i | ||||
\(243\) | −1485.38 | + | 540.635i | −0.392129 | + | 0.142723i | ||||
\(244\) | 1818.75 | + | 4996.99i | 0.477188 | + | 1.31106i | ||||
\(245\) | 3399.74 | − | 1962.84i | 0.886535 | − | 0.511841i | ||||
\(246\) | 1725.30 | − | 304.217i | 0.447159 | − | 0.0788461i | ||||
\(247\) | 4117.87 | + | 3455.31i | 1.06079 | + | 0.890105i | ||||
\(248\) | 264.022 | − | 457.300i | 0.0676025 | − | 0.117091i | ||||
\(249\) | −3381.63 | − | 5857.15i | −0.860651 | − | 1.49069i | ||||
\(250\) | −301.200 | + | 1708.19i | −0.0761983 | + | 0.432142i | ||||
\(251\) | 781.792 | + | 451.368i | 0.196599 | + | 0.113506i | 0.595068 | − | 0.803675i | \(-0.297125\pi\) |
−0.398469 | + | 0.917182i | \(0.630458\pi\) | |||||||
\(252\) | −969.689 | − | 352.938i | −0.242399 | − | 0.0882262i | ||||
\(253\) | 1633.89i | 0.406015i | ||||||||
\(254\) | −717.401 | + | 1971.04i | −0.177220 | + | 0.486907i | ||||
\(255\) | 606.011 | + | 3436.86i | 0.148823 | + | 0.844017i | ||||
\(256\) | −917.052 | + | 769.498i | −0.223890 | + | 0.187866i | ||||
\(257\) | −794.891 | + | 947.314i | −0.192934 | + | 0.229929i | −0.853835 | − | 0.520543i | \(-0.825730\pi\) |
0.660902 | + | 0.750472i | \(0.270174\pi\) | |||||||
\(258\) | −2015.89 | −0.486448 | ||||||||
\(259\) | −3297.03 | − | 5114.02i | −0.790995 | − | 1.22691i | ||||
\(260\) | −3181.41 | −0.758856 | ||||||||
\(261\) | −723.134 | + | 861.797i | −0.171498 | + | 0.204383i | ||||
\(262\) | 365.862 | − | 306.994i | 0.0862710 | − | 0.0723900i | ||||
\(263\) | −848.022 | − | 4809.37i | −0.198826 | − | 1.12760i | −0.906864 | − | 0.421424i | \(-0.861530\pi\) |
0.708038 | − | 0.706175i | \(-0.249581\pi\) | |||||||
\(264\) | −714.621 | + | 1963.40i | −0.166598 | + | 0.457724i | ||||
\(265\) | − | 1070.73i | − | 0.248206i | ||||||
\(266\) | 3355.44 | + | 1221.28i | 0.773440 | + | 0.281509i | ||||
\(267\) | 3154.20 | + | 1821.08i | 0.722973 | + | 0.417409i | ||||
\(268\) | −119.139 | + | 675.673i | −0.0271552 | + | 0.154005i | ||||
\(269\) | −724.260 | − | 1254.46i | −0.164160 | − | 0.284333i | 0.772197 | − | 0.635383i | \(-0.219158\pi\) |
−0.936356 | + | 0.351051i | \(0.885825\pi\) | |||||||
\(270\) | −887.043 | + | 1536.40i | −0.199940 | + | 0.346306i | ||||
\(271\) | −3757.59 | − | 3152.99i | −0.842278 | − | 0.706755i | 0.115797 | − | 0.993273i | \(-0.463058\pi\) |
−0.958075 | + | 0.286518i | \(0.907502\pi\) | |||||||
\(272\) | 2463.80 | − | 434.434i | 0.549226 | − | 0.0968434i | ||||
\(273\) | −5102.83 | + | 2946.12i | −1.13127 | + | 0.653140i | ||||
\(274\) | −1113.87 | − | 3060.34i | −0.245590 | − | 0.674752i | ||||
\(275\) | 565.402 | − | 205.790i | 0.123982 | − | 0.0451258i | ||||
\(276\) | −1853.03 | − | 326.739i | −0.404128 | − | 0.0712586i | ||||
\(277\) | 1589.15 | + | 1893.88i | 0.344704 | + | 0.410802i | 0.910345 | − | 0.413849i | \(-0.135816\pi\) |
−0.565642 | + | 0.824651i | \(0.691372\pi\) | |||||||
\(278\) | −2158.90 | − | 2572.87i | −0.465763 | − | 0.555074i | ||||
\(279\) | −175.385 | − | 30.9251i | −0.0376345 | − | 0.00663598i | ||||
\(280\) | −4374.40 | + | 1592.15i | −0.933644 | + | 0.339819i | ||||
\(281\) | −3033.88 | − | 8335.52i | −0.644079 | − | 1.76959i | −0.638516 | − | 0.769609i | \(-0.720451\pi\) |
−0.00556355 | − | 0.999985i | \(-0.501771\pi\) | |||||||
\(282\) | 1077.07 | − | 621.846i | 0.227442 | − | 0.131313i | ||||
\(283\) | 1710.00 | − | 301.519i | 0.359184 | − | 0.0633338i | 0.00885554 | − | 0.999961i | \(-0.497181\pi\) |
0.350328 | + | 0.936627i | \(0.386070\pi\) | |||||||
\(284\) | −3524.66 | − | 2957.54i | −0.736444 | − | 0.617950i | ||||
\(285\) | −2653.40 | + | 4595.83i | −0.551488 | + | 0.955205i | ||||
\(286\) | −730.916 | − | 1265.98i | −0.151119 | − | 0.261745i | ||||
\(287\) | 1535.92 | − | 8710.65i | 0.315898 | − | 1.79154i | ||||
\(288\) | 869.537 | + | 502.027i | 0.177910 | + | 0.102716i | ||||
\(289\) | 639.631 | + | 232.807i | 0.130191 | + | 0.0473858i | ||||
\(290\) | 2303.93i | 0.466521i | ||||||||
\(291\) | 253.797 | − | 697.303i | 0.0511267 | − | 0.140469i | ||||
\(292\) | 300.922 | + | 1706.61i | 0.0603087 | + | 0.342027i | ||||
\(293\) | 1979.54 | − | 1661.03i | 0.394695 | − | 0.331189i | −0.423744 | − | 0.905782i | \(-0.639284\pi\) |
0.818439 | + | 0.574593i | \(0.194840\pi\) | |||||||
\(294\) | −1335.27 | + | 1591.31i | −0.264879 | + | 0.315670i | ||||
\(295\) | 2065.69 | 0.407691 | ||||||||
\(296\) | 1484.58 | + | 3529.95i | 0.291519 | + | 0.693155i | ||||
\(297\) | 4020.24 | 0.785448 | ||||||||
\(298\) | −898.690 | + | 1071.02i | −0.174697 | + | 0.208196i | ||||
\(299\) | 2221.40 | − | 1863.98i | 0.429656 | − | 0.360524i | ||||
\(300\) | 120.323 | + | 682.388i | 0.0231563 | + | 0.131326i | ||||
\(301\) | −3481.00 | + | 9563.97i | −0.666583 | + | 1.83142i | ||||
\(302\) | 1926.48i | 0.367075i | ||||||||
\(303\) | 3596.80 | + | 1309.13i | 0.681950 | + | 0.248210i | ||||
\(304\) | 3294.63 | + | 1902.16i | 0.621580 | + | 0.358869i | ||||
\(305\) | 1404.91 | − | 7967.66i | 0.263754 | − | 1.49583i | ||||
\(306\) | 249.215 | + | 431.654i | 0.0465578 | + | 0.0806405i | ||||
\(307\) | −1016.38 | + | 1760.43i | −0.188952 | + | 0.327274i | −0.944901 | − | 0.327356i | \(-0.893842\pi\) |
0.755949 | + | 0.654630i | \(0.227176\pi\) | |||||||
\(308\) | 3668.56 | + | 3078.28i | 0.678686 | + | 0.569485i | ||||
\(309\) | −4848.26 | + | 854.880i | −0.892583 | + | 0.157386i | ||||
\(310\) | −315.856 | + | 182.359i | −0.0578691 | + | 0.0334107i | ||||
\(311\) | 684.923 | + | 1881.81i | 0.124882 | + | 0.343112i | 0.986341 | − | 0.164716i | \(-0.0526708\pi\) |
−0.861459 | + | 0.507828i | \(0.830449\pi\) | |||||||
\(312\) | 3484.66 | − | 1268.31i | 0.632308 | − | 0.230141i | ||||
\(313\) | 1814.09 | + | 319.873i | 0.327599 | + | 0.0577645i | 0.335029 | − | 0.942208i | \(-0.391254\pi\) |
−0.00742998 | + | 0.999972i | \(0.502365\pi\) | |||||||
\(314\) | −706.617 | − | 842.113i | −0.126996 | − | 0.151348i | ||||
\(315\) | 1009.19 | + | 1202.70i | 0.180512 | + | 0.215125i | ||||
\(316\) | −3192.14 | − | 562.861i | −0.568266 | − | 0.100201i | ||||
\(317\) | −2489.33 | + | 906.041i | −0.441056 | + | 0.160531i | −0.552996 | − | 0.833184i | \(-0.686516\pi\) |
0.111941 | + | 0.993715i | \(0.464293\pi\) | |||||||
\(318\) | 193.784 | + | 532.418i | 0.0341726 | + | 0.0938885i | ||||
\(319\) | 4521.44 | − | 2610.45i | 0.793579 | − | 0.458173i | ||||
\(320\) | −641.919 | + | 113.188i | −0.112139 | + | 0.0197731i | ||||
\(321\) | 1282.81 | + | 1076.41i | 0.223052 | + | 0.187163i | ||||
\(322\) | 963.136 | − | 1668.20i | 0.166688 | − | 0.288712i | ||||
\(323\) | 4252.96 | + | 7366.33i | 0.732634 | + | 1.26896i | ||||
\(324\) | −624.998 | + | 3544.54i | −0.107167 | + | 0.607774i | ||||
\(325\) | −924.811 | − | 533.940i | −0.157844 | − | 0.0911313i | ||||
\(326\) | −1011.22 | − | 368.056i | −0.171799 | − | 0.0625298i | ||||
\(327\) | − | 6819.57i | − | 1.15328i | ||||||
\(328\) | −1903.90 | + | 5230.93i | −0.320504 | + | 0.880578i | ||||
\(329\) | −1090.36 | − | 6183.73i | −0.182716 | − | 1.03623i | ||||
\(330\) | 1105.52 | − | 927.639i | 0.184414 | − | 0.154742i | ||||
\(331\) | 4416.06 | − | 5262.86i | 0.733319 | − | 0.873936i | −0.262533 | − | 0.964923i | \(-0.584558\pi\) |
0.995852 | + | 0.0909871i | \(0.0290022\pi\) | |||||||
\(332\) | 9755.90 | 1.61272 | ||||||||
\(333\) | 947.480 | − | 877.685i | 0.155921 | − | 0.144435i | ||||
\(334\) | 3478.99 | 0.569946 | ||||||||
\(335\) | 670.979 | − | 799.642i | 0.109431 | − | 0.130415i | ||||
\(336\) | −3194.42 | + | 2680.44i | −0.518660 | + | 0.435208i | ||||
\(337\) | −1035.20 | − | 5870.93i | −0.167333 | − | 0.948991i | −0.946626 | − | 0.322333i | \(-0.895533\pi\) |
0.779294 | − | 0.626659i | \(-0.215578\pi\) | |||||||
\(338\) | −14.7184 | + | 40.4385i | −0.00236857 | + | 0.00650759i | ||||
\(339\) | − | 1769.56i | − | 0.283508i | ||||||
\(340\) | −4730.50 | − | 1721.76i | −0.754551 | − | 0.274634i | ||||
\(341\) | 715.758 | + | 413.243i | 0.113667 | + | 0.0656257i | ||||
\(342\) | −131.613 | + | 746.413i | −0.0208094 | + | 0.118016i | ||||
\(343\) | 607.315 | + | 1051.90i | 0.0956032 | + | 0.165590i | ||||
\(344\) | 3202.70 | − | 5547.24i | 0.501971 | − | 0.869440i | ||||
\(345\) | 2193.02 | + | 1840.16i | 0.342226 | + | 0.287162i | ||||
\(346\) | 4405.97 | − | 776.892i | 0.684585 | − | 0.120711i | ||||
\(347\) | −6264.22 | + | 3616.65i | −0.969110 | + | 0.559516i | −0.898965 | − | 0.438021i | \(-0.855680\pi\) |
−0.0701451 | + | 0.997537i | \(0.522346\pi\) | |||||||
\(348\) | 2056.39 | + | 5649.89i | 0.316765 | + | 0.870304i | ||||
\(349\) | −5094.55 | + | 1854.26i | −0.781390 | + | 0.284403i | −0.701752 | − | 0.712421i | \(-0.747599\pi\) |
−0.0796377 | + | 0.996824i | \(0.525376\pi\) | |||||||
\(350\) | −698.583 | − | 123.179i | −0.106688 | − | 0.0188120i | ||||
\(351\) | −4586.38 | − | 5465.84i | −0.697445 | − | 0.831182i | ||||
\(352\) | −2995.16 | − | 3569.49i | −0.453530 | − | 0.540495i | ||||
\(353\) | 9208.30 | + | 1623.67i | 1.38841 | + | 0.244814i | 0.817372 | − | 0.576110i | \(-0.195430\pi\) |
0.571037 | + | 0.820924i | \(0.306541\pi\) | |||||||
\(354\) | −1027.16 | + | 373.854i | −0.154217 | + | 0.0561303i | ||||
\(355\) | 2394.26 | + | 6578.18i | 0.357955 | + | 0.983475i | ||||
\(356\) | −4549.89 | + | 2626.88i | −0.677369 | + | 0.391079i | ||||
\(357\) | −9181.93 | + | 1619.02i | −1.36123 | + | 0.240022i | ||||
\(358\) | −2242.60 | − | 1881.77i | −0.331076 | − | 0.277806i | ||||
\(359\) | −4413.43 | + | 7644.29i | −0.648836 | + | 1.12382i | 0.334566 | + | 0.942372i | \(0.391410\pi\) |
−0.983401 | + | 0.181444i | \(0.941923\pi\) | |||||||
\(360\) | −494.046 | − | 855.713i | −0.0723292 | − | 0.125278i | ||||
\(361\) | −1054.97 | + | 5983.03i | −0.153808 | + | 0.872289i | ||||
\(362\) | 2689.62 | + | 1552.85i | 0.390507 | + | 0.225459i | ||||
\(363\) | 2694.05 | + | 980.554i | 0.389534 | + | 0.141779i | ||||
\(364\) | − | 8499.47i | − | 1.22388i | ||||||
\(365\) | 901.762 | − | 2477.57i | 0.129316 | − | 0.355293i | ||||
\(366\) | 743.422 | + | 4216.16i | 0.106173 | + | 0.602137i | ||||
\(367\) | −3193.82 | + | 2679.94i | −0.454268 | + | 0.381176i | −0.841017 | − | 0.541009i | \(-0.818042\pi\) |
0.386749 | + | 0.922185i | \(0.373598\pi\) | |||||||
\(368\) | 1319.16 | − | 1572.12i | 0.186864 | − | 0.222696i | ||||
\(369\) | 1877.43 | 0.264865 | ||||||||
\(370\) | 331.043 | − | 2624.18i | 0.0465138 | − | 0.368715i | ||||
\(371\) | 2860.58 | 0.400306 | ||||||||
\(372\) | −611.803 | + | 729.118i | −0.0852701 | + | 0.101621i | ||||
\(373\) | −1807.84 | + | 1516.95i | −0.250955 | + | 0.210576i | −0.759583 | − | 0.650410i | \(-0.774597\pi\) |
0.508628 | + | 0.860986i | \(0.330153\pi\) | |||||||
\(374\) | −401.670 | − | 2277.99i | −0.0555344 | − | 0.314951i | ||||
\(375\) | 2355.48 | − | 6471.62i | 0.324363 | − | 0.891181i | ||||
\(376\) | 3951.78i | 0.542015i | ||||||||
\(377\) | −8707.28 | − | 3169.19i | −1.18952 | − | 0.432948i | ||||
\(378\) | −4104.67 | − | 2369.83i | −0.558522 | − | 0.322463i | ||||
\(379\) | −2228.25 | + | 12637.1i | −0.301999 | + | 1.71272i | 0.335305 | + | 0.942110i | \(0.391161\pi\) |
−0.637304 | + | 0.770612i | \(0.719950\pi\) | |||||||
\(380\) | −3827.49 | − | 6629.41i | −0.516701 | − | 0.894952i | ||||
\(381\) | 4164.11 | − | 7212.46i | 0.559932 | − | 0.969831i | ||||
\(382\) | 254.585 | + | 213.623i | 0.0340988 | + | 0.0286123i | ||||
\(383\) | −1994.27 | + | 351.643i | −0.266063 | + | 0.0469141i | −0.305088 | − | 0.952324i | \(-0.598686\pi\) |
0.0390249 | + | 0.999238i | \(0.487575\pi\) | |||||||
\(384\) | 5888.21 | − | 3399.56i | 0.782503 | − | 0.451778i | ||||
\(385\) | −2492.01 | − | 6846.74i | −0.329882 | − | 0.906343i | ||||
\(386\) | −2306.52 | + | 839.504i | −0.304142 | + | 0.110699i | ||||
\(387\) | −2127.50 | − | 375.135i | −0.279449 | − | 0.0492743i | ||||
\(388\) | 688.041 | + | 819.975i | 0.0900258 | + | 0.107289i | ||||
\(389\) | −1259.22 | − | 1500.69i | −0.164127 | − | 0.195598i | 0.677713 | − | 0.735327i | \(-0.262971\pi\) |
−0.841839 | + | 0.539728i | \(0.818527\pi\) | |||||||
\(390\) | −2522.40 | − | 444.767i | −0.327504 | − | 0.0577478i | ||||
\(391\) | 4311.83 | − | 1569.38i | 0.557694 | − | 0.202984i | ||||
\(392\) | −2257.53 | − | 6202.50i | −0.290873 | − | 0.799167i | ||||
\(393\) | −1642.24 | + | 948.146i | −0.210788 | + | 0.121699i | ||||
\(394\) | 5576.44 | − | 983.278i | 0.713039 | − | 0.125728i | ||||
\(395\) | 3777.82 | + | 3169.97i | 0.481223 | + | 0.403794i | ||||
\(396\) | −508.248 | + | 880.312i | −0.0644961 | + | 0.111710i | ||||
\(397\) | −164.358 | − | 284.676i | −0.0207780 | − | 0.0359886i | 0.855449 | − | 0.517886i | \(-0.173281\pi\) |
−0.876227 | + | 0.481898i | \(0.839948\pi\) | |||||||
\(398\) | −362.112 | + | 2053.64i | −0.0456056 | + | 0.258642i | ||||
\(399\) | −12278.2 | − | 7088.84i | −1.54055 | − | 0.889439i | ||||
\(400\) | −710.176 | − | 258.483i | −0.0887720 | − | 0.0323104i | ||||
\(401\) | 4279.24i | 0.532905i | 0.963848 | + | 0.266453i | \(0.0858516\pi\) | ||||
−0.963848 | + | 0.266453i | \(0.914148\pi\) | |||||||
\(402\) | −188.921 | + | 519.055i | −0.0234391 | + | 0.0643983i | ||||
\(403\) | −254.716 | − | 1444.57i | −0.0314847 | − | 0.178558i | ||||
\(404\) | −4229.57 | + | 3549.03i | −0.520864 | + | 0.437056i | ||||
\(405\) | 3519.92 | − | 4194.87i | 0.431867 | − | 0.514679i | ||||
\(406\) | −6155.18 | −0.752405 | ||||||||
\(407\) | −5525.01 | + | 2323.64i | −0.672886 | + | 0.282994i | ||||
\(408\) | 5867.81 | 0.712010 | ||||||||
\(409\) | −3359.16 | + | 4003.30i | −0.406112 | + | 0.483986i | −0.929874 | − | 0.367879i | \(-0.880084\pi\) |
0.523761 | + | 0.851865i | \(0.324528\pi\) | |||||||
\(410\) | 2945.34 | − | 2471.43i | 0.354780 | − | 0.297696i | ||||
\(411\) | 2245.41 | + | 12734.4i | 0.269484 | + | 1.52832i | ||||
\(412\) | 2428.83 | − | 6673.17i | 0.290437 | − | 0.797969i | ||||
\(413\) | 5518.70i | 0.657524i | ||||||||
\(414\) | 384.210 | + | 139.841i | 0.0456108 | + | 0.0166010i | ||||
\(415\) | −12854.5 | − | 7421.54i | −1.52049 | − | 0.877853i | ||||
\(416\) | −1436.06 | + | 8144.31i | −0.169252 | + | 0.959874i | ||||
\(417\) | 6667.71 | + | 11548.8i | 0.783019 | + | 1.35623i | ||||
\(418\) | 1758.70 | − | 3046.16i | 0.205792 | − | 0.356442i | ||||
\(419\) | 3437.84 | + | 2884.69i | 0.400834 | + | 0.336340i | 0.820816 | − | 0.571193i | \(-0.193519\pi\) |
−0.419982 | + | 0.907532i | \(0.637964\pi\) | |||||||
\(420\) | 8263.38 | − | 1457.06i | 0.960027 | − | 0.169279i | ||||
\(421\) | 292.200 | − | 168.702i | 0.0338265 | − | 0.0195297i | −0.482991 | − | 0.875625i | \(-0.660450\pi\) |
0.516818 | + | 0.856095i | \(0.327116\pi\) | |||||||
\(422\) | 1344.87 | + | 3695.01i | 0.155136 | + | 0.426232i | ||||
\(423\) | 1252.42 | − | 455.843i | 0.143959 | − | 0.0523968i | ||||
\(424\) | −1772.96 | − | 312.621i | −0.203072 | − | 0.0358071i | ||||
\(425\) | −1086.16 | − | 1294.43i | −0.123968 | − | 0.147739i | ||||
\(426\) | −2381.08 | − | 2837.66i | −0.270806 | − | 0.322735i | ||||
\(427\) | 21286.4 | + | 3753.37i | 2.41247 | + | 0.425383i | ||||
\(428\) | −2269.90 | + | 826.175i | −0.256354 | + | 0.0933054i | ||||
\(429\) | 1985.14 | + | 5454.13i | 0.223412 | + | 0.613818i | ||||
\(430\) | −3831.47 | + | 2212.10i | −0.429697 | + | 0.248086i | ||||
\(431\) | 5290.15 | − | 932.797i | 0.591224 | − | 0.104249i | 0.129972 | − | 0.991518i | \(-0.458511\pi\) |
0.461253 | + | 0.887269i | \(0.347400\pi\) | |||||||
\(432\) | −3868.25 | − | 3245.85i | −0.430813 | − | 0.361495i | ||||
\(433\) | 4357.86 | − | 7548.04i | 0.483661 | − | 0.837726i | −0.516162 | − | 0.856491i | \(-0.672640\pi\) |
0.999824 | + | 0.0187645i | \(0.00597326\pi\) | |||||||
\(434\) | −487.193 | − | 843.842i | −0.0538848 | − | 0.0933312i | ||||
\(435\) | 1588.48 | − | 9008.70i | 0.175084 | − | 0.992952i | ||||
\(436\) | 8519.20 | + | 4918.56i | 0.935770 | + | 0.540267i | ||||
\(437\) | 6556.68 | + | 2386.44i | 0.717732 | + | 0.261233i | ||||
\(438\) | 1395.17i | 0.152200i | ||||||||
\(439\) | 494.541 | − | 1358.74i | 0.0537657 | − | 0.147720i | −0.909903 | − | 0.414822i | \(-0.863844\pi\) |
0.963668 | + | 0.267102i | \(0.0860660\pi\) | |||||||
\(440\) | 796.273 | + | 4515.89i | 0.0862747 | + | 0.489288i | ||||
\(441\) | −1705.32 | + | 1430.93i | −0.184140 | + | 0.154512i | ||||
\(442\) | −2638.87 | + | 3144.88i | −0.283978 | + | 0.338431i | ||||
\(443\) | −3424.19 | −0.367242 | −0.183621 | − | 0.982997i | \(-0.558782\pi\) | ||||
−0.183621 | + | 0.982997i | \(0.558782\pi\) | |||||||
\(444\) | −1530.42 | − | 6730.71i | −0.163582 | − | 0.719426i | ||||
\(445\) | 7993.31 | 0.851504 | ||||||||
\(446\) | 3860.07 | − | 4600.25i | 0.409819 | − | 0.488404i | ||||
\(447\) | 4252.44 | − | 3568.22i | 0.449964 | − | 0.377564i | ||||
\(448\) | −302.393 | − | 1714.95i | −0.0318900 | − | 0.180857i | ||||
\(449\) | 1716.81 | − | 4716.89i | 0.180448 | − | 0.495777i | −0.816183 | − | 0.577794i | \(-0.803914\pi\) |
0.996631 | + | 0.0820167i | \(0.0261361\pi\) | |||||||
\(450\) | − | 150.568i | − | 0.0157729i | ||||||
\(451\) | −8187.36 | − | 2979.96i | −0.854829 | − | 0.311132i | ||||
\(452\) | 2210.58 | + | 1276.28i | 0.230038 | + | 0.132812i | ||||
\(453\) | 1328.24 | − | 7532.84i | 0.137762 | − | 0.781288i | ||||
\(454\) | −1993.61 | − | 3453.03i | −0.206090 | − | 0.356958i | ||||
\(455\) | −6465.75 | + | 11199.0i | −0.666195 | + | 1.15388i | ||||
\(456\) | 6835.24 | + | 5735.44i | 0.701950 | + | 0.589006i | ||||
\(457\) | −3156.81 | + | 556.631i | −0.323128 | + | 0.0569762i | −0.332859 | − | 0.942976i | \(-0.608013\pi\) |
0.00973148 | + | 0.999953i | \(0.496902\pi\) | |||||||
\(458\) | −6692.98 | + | 3864.20i | −0.682844 | + | 0.394240i | ||||
\(459\) | −3861.50 | − | 10609.4i | −0.392679 | − | 1.07888i | ||||
\(460\) | −3880.48 | + | 1412.38i | −0.393322 | + | 0.143157i | ||||
\(461\) | 12060.2 | + | 2126.54i | 1.21844 | + | 0.214844i | 0.745654 | − | 0.666333i | \(-0.232137\pi\) |
0.472786 | + | 0.881177i | \(0.343248\pi\) | |||||||
\(462\) | 2478.29 | + | 2953.51i | 0.249568 | + | 0.297423i | ||||
\(463\) | 4668.08 | + | 5563.21i | 0.468562 | + | 0.558411i | 0.947631 | − | 0.319367i | \(-0.103470\pi\) |
−0.479069 | + | 0.877777i | \(0.659026\pi\) | |||||||
\(464\) | −6458.11 | − | 1138.74i | −0.646143 | − | 0.113932i | ||||
\(465\) | 1360.78 | − | 495.282i | 0.135708 | − | 0.0493938i | ||||
\(466\) | −896.342 | − | 2462.68i | −0.0891035 | − | 0.244810i | ||||
\(467\) | −9461.68 | + | 5462.70i | −0.937547 | + | 0.541293i | −0.889191 | − | 0.457537i | \(-0.848732\pi\) |
−0.0483565 | + | 0.998830i | \(0.515398\pi\) | |||||||
\(468\) | 1776.68 | − | 313.276i | 0.175485 | − | 0.0309427i | ||||
\(469\) | 2136.33 | + | 1792.59i | 0.210334 | + | 0.176491i | ||||
\(470\) | 1364.74 | − | 2363.81i | 0.133938 | − | 0.231988i | ||||
\(471\) | 2182.37 | + | 3779.98i | 0.213500 | + | 0.369792i | ||||
\(472\) | 603.116 | − | 3420.44i | 0.0588150 | − | 0.333556i | ||||
\(473\) | 8682.45 | + | 5012.82i | 0.844016 | + | 0.487293i | ||||
\(474\) | −2452.22 | − | 892.535i | −0.237625 | − | 0.0864884i | ||||
\(475\) | − | 2569.49i | − | 0.248203i | ||||||
\(476\) | 4599.87 | − | 12638.0i | 0.442930 | − | 1.21694i | ||||
\(477\) | 105.436 | + | 597.957i | 0.0101207 | + | 0.0573974i | ||||
\(478\) | 3523.18 | − | 2956.30i | 0.337126 | − | 0.282882i | ||||
\(479\) | −6283.73 | + | 7488.65i | −0.599396 | + | 0.714333i | −0.977383 | − | 0.211478i | \(-0.932172\pi\) |
0.377986 | + | 0.925811i | \(0.376617\pi\) | |||||||
\(480\) | −8164.26 | −0.776345 | ||||||||
\(481\) | 9462.24 | + | 4860.83i | 0.896966 | + | 0.460779i | ||||
\(482\) | −1836.50 | −0.173548 | ||||||||
\(483\) | −4916.18 | + | 5858.87i | −0.463134 | + | 0.551942i | ||||
\(484\) | −3168.00 | + | 2658.27i | −0.297521 | + | 0.249650i | ||||
\(485\) | −282.796 | − | 1603.82i | −0.0264765 | − | 0.150156i | ||||
\(486\) | 627.854 | − | 1725.02i | 0.0586009 | − | 0.161005i | ||||
\(487\) | − | 4244.56i | − | 0.394947i | −0.980308 | − | 0.197474i | \(-0.936726\pi\) | ||
0.980308 | − | 0.197474i | \(-0.0632737\pi\) | |||||||
\(488\) | −12783.0 | − | 4652.62i | −1.18577 | − | 0.431586i | ||||
\(489\) | 3700.28 | + | 2136.36i | 0.342193 | + | 0.197565i | ||||
\(490\) | −791.661 | + | 4489.73i | −0.0729869 | + | 0.413929i | ||||
\(491\) | 2494.14 | + | 4319.98i | 0.229244 | + | 0.397063i | 0.957584 | − | 0.288153i | \(-0.0930412\pi\) |
−0.728340 | + | 0.685216i | \(0.759708\pi\) | |||||||
\(492\) | 5016.91 | − | 8689.55i | 0.459715 | − | 0.796250i | ||||
\(493\) | −11231.9 | − | 9424.66i | −1.02608 | − | 0.860985i | ||||
\(494\) | −6147.87 | + | 1084.04i | −0.559931 | + | 0.0987309i | ||||
\(495\) | 1339.35 | − | 773.273i | 0.121615 | − | 0.0702142i | ||||
\(496\) | −355.055 | − | 975.505i | −0.0321420 | − | 0.0883095i | ||||
\(497\) | −17574.3 | + | 6396.52i | −1.58615 | + | 0.577310i | ||||
\(498\) | 7735.02 | + | 1363.89i | 0.696013 | + | 0.122726i | ||||
\(499\) | −10237.3 | − | 12200.4i | −0.918408 | − | 1.09452i | −0.995238 | − | 0.0974714i | \(-0.968925\pi\) |
0.0768307 | − | 0.997044i | \(-0.475520\pi\) | |||||||
\(500\) | 6385.66 | + | 7610.14i | 0.571151 | + | 0.680671i | ||||
\(501\) | −13603.4 | − | 2398.64i | −1.21308 | − | 0.213899i | ||||
\(502\) | −985.146 | + | 358.564i | −0.0875881 | + | 0.0318794i | ||||
\(503\) | 990.185 | + | 2720.51i | 0.0877737 | + | 0.241156i | 0.975811 | − | 0.218615i | \(-0.0701538\pi\) |
−0.888038 | + | 0.459771i | \(0.847932\pi\) | |||||||
\(504\) | 2286.13 | − | 1319.90i | 0.202048 | − | 0.116652i | ||||
\(505\) | 8272.76 | − | 1458.71i | 0.728976 | − | 0.128538i | ||||
\(506\) | −1453.55 | − | 1219.68i | −0.127704 | − | 0.107157i | ||||
\(507\) | 85.4322 | − | 147.973i | 0.00748359 | − | 0.0129620i | ||||
\(508\) | 6006.67 | + | 10403.9i | 0.524612 | + | 0.908655i | ||||
\(509\) | 940.768 | − | 5335.36i | 0.0819230 | − | 0.464608i | −0.916055 | − | 0.401052i | \(-0.868645\pi\) |
0.997978 | − | 0.0635563i | \(-0.0202443\pi\) | |||||||
\(510\) | −3509.90 | − | 2026.44i | −0.304747 | − | 0.175946i | ||||
\(511\) | 6619.09 | + | 2409.15i | 0.573017 | + | 0.208561i | ||||
\(512\) | 10406.0i | 0.898216i | ||||||||
\(513\) | 5871.91 | − | 16132.9i | 0.505363 | − | 1.38847i | ||||
\(514\) | −249.382 | − | 1414.31i | −0.0214003 | − | 0.121367i | ||||
\(515\) | −8276.69 | + | 6944.97i | −0.708184 | + | 0.594237i | ||||
\(516\) | −7421.43 | + | 8844.51i | −0.633159 | + | 0.754569i | ||||
\(517\) | −6185.27 | −0.526166 | ||||||||
\(518\) | 7010.76 | + | 884.416i | 0.594663 | + | 0.0750174i | ||||
\(519\) | −17763.7 | −1.50239 | ||||||||
\(520\) | 5231.31 | − | 6234.43i | 0.441169 | − | 0.525765i | ||||
\(521\) | −2310.63 | + | 1938.85i | −0.194301 | + | 0.163038i | −0.734748 | − | 0.678340i | \(-0.762700\pi\) |
0.540447 | + | 0.841378i | \(0.318255\pi\) | |||||||
\(522\) | −226.869 | − | 1286.64i | −0.0190226 | − | 0.107883i | ||||
\(523\) | 2566.53 | − | 7051.47i | 0.214582 | − | 0.589559i | −0.784969 | − | 0.619535i | \(-0.787321\pi\) |
0.999551 | + | 0.0299764i | \(0.00954322\pi\) | |||||||
\(524\) | − | 2735.37i | − | 0.228044i | ||||||
\(525\) | 2646.64 | + | 963.298i | 0.220017 | + | 0.0800796i | ||||
\(526\) | 4911.59 | + | 2835.71i | 0.407139 | + | 0.235062i | ||||
\(527\) | 403.050 | − | 2285.81i | 0.0333152 | − | 0.188940i | ||||
\(528\) | 2053.84 | + | 3557.36i | 0.169284 | + | 0.293209i | ||||
\(529\) | −4201.49 | + | 7277.19i | −0.345318 | + | 0.598108i | ||||
\(530\) | 952.553 | + | 799.287i | 0.0780684 | + | 0.0655072i | ||||
\(531\) | −1153.59 | + | 203.410i | −0.0942782 | + | 0.0166238i | ||||
\(532\) | 17711.2 | − | 10225.6i | 1.44338 | − | 0.833335i | ||||
\(533\) | 5288.84 | + | 14531.0i | 0.429803 | + | 1.18088i | ||||
\(534\) | −3974.65 | + | 1446.65i | −0.322097 | + | 0.117234i | ||||
\(535\) | 3619.34 | + | 638.186i | 0.292481 | + | 0.0515723i | ||||
\(536\) | −1128.17 | − | 1344.50i | −0.0909135 | − | 0.108346i | ||||
\(537\) | 7471.50 | + | 8904.19i | 0.600408 | + | 0.715539i | ||||
\(538\) | 1656.65 | + | 292.112i | 0.132757 | + | 0.0234086i | ||||
\(539\) | 9708.05 | − | 3533.44i | 0.775799 | − | 0.282368i | ||||
\(540\) | 3475.20 | + | 9548.04i | 0.276942 | + | 0.760893i | ||||
\(541\) | 828.778 | − | 478.495i | 0.0658631 | − | 0.0380261i | −0.466707 | − | 0.884412i | \(-0.654560\pi\) |
0.532570 | + | 0.846386i | \(0.321226\pi\) | |||||||
\(542\) | 5609.98 | − | 989.191i | 0.444593 | − | 0.0783937i | ||||
\(543\) | −9446.19 | − | 7926.30i | −0.746547 | − | 0.626427i | ||||
\(544\) | −6542.96 | + | 11332.7i | −0.515675 | + | 0.893176i | ||||
\(545\) | −7483.33 | − | 12961.5i | −0.588166 | − | 1.01873i | ||||
\(546\) | 1188.24 | − | 6738.86i | 0.0931357 | − | 0.528199i | ||||
\(547\) | −19785.9 | − | 11423.4i | −1.54659 | − | 0.892922i | −0.998399 | − | 0.0565658i | \(-0.981985\pi\) |
−0.548187 | − | 0.836356i | \(-0.684682\pi\) | |||||||
\(548\) | −17527.6 | − | 6379.54i | −1.36632 | − | 0.497300i | ||||
\(549\) | 4587.92i | 0.356663i | ||||||||
\(550\) | −238.989 | + | 656.617i | −0.0185282 | + | 0.0509059i | ||||
\(551\) | −3871.61 | − | 21957.0i | −0.299340 | − | 1.69764i | ||||
\(552\) | 3687.30 | − | 3094.01i | 0.284315 | − | 0.238568i | ||||
\(553\) | −8468.91 | + | 10092.9i | −0.651238 | + | 0.776115i | ||||
\(554\) | −2871.13 | −0.220185 | ||||||||
\(555\) | −3103.71 | + | 10032.7i | −0.237378 | + | 0.767322i | ||||
\(556\) | −19236.1 | −1.46726 | ||||||||
\(557\) | −825.128 | + | 983.349i | −0.0627680 | + | 0.0748040i | −0.796515 | − | 0.604619i | \(-0.793325\pi\) |
0.733747 | + | 0.679423i | \(0.237770\pi\) | |||||||
\(558\) | 158.434 | − | 132.942i | 0.0120198 | − | 0.0100858i | ||||
\(559\) | −3089.82 | − | 17523.2i | −0.233784 | − | 1.32586i | ||||
\(560\) | −3130.10 | + | 8599.87i | −0.236198 | + | 0.648948i | ||||
\(561\) | 9184.21i | 0.691190i | ||||||||
\(562\) | 9680.26 | + | 3523.33i | 0.726579 | + | 0.264453i | ||||
\(563\) | 15860.2 | + | 9156.92i | 1.18726 | + | 0.685467i | 0.957684 | − | 0.287822i | \(-0.0929313\pi\) |
0.229580 | + | 0.973290i | \(0.426265\pi\) | |||||||
\(564\) | 1236.91 | − | 7014.84i | 0.0923460 | − | 0.523720i | ||||
\(565\) | −1941.79 | − | 3363.28i | −0.144587 | − | 0.250432i | ||||
\(566\) | −1008.25 | + | 1746.34i | −0.0748763 | + | 0.129690i | ||||
\(567\) | 11207.0 | + | 9403.83i | 0.830074 | + | 0.696515i | ||||
\(568\) | 11591.4 | − | 2043.88i | 0.856279 | − | 0.150985i | ||||
\(569\) | 20037.5 | − | 11568.6i | 1.47630 | − | 0.852342i | 0.476657 | − | 0.879089i | \(-0.341848\pi\) |
0.999642 | + | 0.0267474i | \(0.00851498\pi\) | |||||||
\(570\) | −2107.85 | − | 5791.26i | −0.154891 | − | 0.425560i | ||||
\(571\) | 17878.5 | − | 6507.25i | 1.31032 | − | 0.476918i | 0.409977 | − | 0.912096i | \(-0.365537\pi\) |
0.900344 | + | 0.435178i | \(0.143315\pi\) | |||||||
\(572\) | −8245.23 | − | 1453.86i | −0.602710 | − | 0.106274i | ||||
\(573\) | −848.183 | − | 1010.82i | −0.0618383 | − | 0.0736960i | ||||
\(574\) | 6602.69 | + | 7868.78i | 0.480123 | + | 0.572189i | ||||
\(575\) | −1365.07 | − | 240.698i | −0.0990038 | − | 0.0174570i | ||||
\(576\) | 347.337 | − | 126.420i | 0.0251257 | − | 0.00914500i | ||||
\(577\) | 4217.38 | + | 11587.2i | 0.304284 | + | 0.836014i | 0.993743 | + | 0.111689i | \(0.0356261\pi\) |
−0.689459 | + | 0.724325i | \(0.742152\pi\) | |||||||
\(578\) | −684.587 | + | 395.246i | −0.0492648 | + | 0.0284430i | ||||
\(579\) | 9597.65 | − | 1692.32i | 0.688885 | − | 0.121469i | ||||
\(580\) | 10108.3 | + | 8481.83i | 0.723659 | + | 0.607222i | ||||
\(581\) | 19827.4 | − | 34342.1i | 1.41580 | − | 2.45224i | ||||
\(582\) | 430.883 | + | 746.312i | 0.0306885 | + | 0.0531540i | ||||
\(583\) | 489.309 | − | 2775.01i | 0.0347600 | − | 0.197134i | ||||
\(584\) | −3839.17 | − | 2216.55i | −0.272031 | − | 0.157057i | ||||
\(585\) | −2579.28 | − | 938.783i | −0.182291 | − | 0.0663485i | ||||
\(586\) | 3000.98i | 0.211552i | ||||||||
\(587\) | −6020.28 | + | 16540.6i | −0.423311 | + | 1.16304i | 0.526489 | + | 0.850182i | \(0.323508\pi\) |
−0.949801 | + | 0.312856i | \(0.898714\pi\) | |||||||
\(588\) | 2065.97 | + | 11716.7i | 0.144897 | + | 0.821750i | ||||
\(589\) | 2703.74 | − | 2268.71i | 0.189144 | − | 0.158711i | ||||
\(590\) | −1542.01 | + | 1837.69i | −0.107599 | + | 0.128231i | ||||
\(591\) | −22482.7 | −1.56483 | ||||||||
\(592\) | 7192.18 | + | 2224.97i | 0.499319 | + | 0.154469i | ||||
\(593\) | 22213.8 | 1.53830 | 0.769150 | − | 0.639068i | \(-0.220680\pi\) | ||||
0.769150 | + | 0.639068i | \(0.220680\pi\) | |||||||
\(594\) | −3001.05 | + | 3576.52i | −0.207298 | + | 0.247048i | ||||
\(595\) | −15674.9 | + | 13152.8i | −1.08001 | + | 0.906239i | ||||
\(596\) | 1390.49 | + | 7885.83i | 0.0955646 | + | 0.541974i | ||||
\(597\) | 2831.83 | − | 7780.38i | 0.194136 | − | 0.533383i | ||||
\(598\) | 3367.66i | 0.230290i | ||||||||
\(599\) | 17131.5 | + | 6235.34i | 1.16857 | + | 0.425324i | 0.852151 | − | 0.523296i | \(-0.175298\pi\) |
0.316417 | + | 0.948620i | \(0.397520\pi\) | |||||||
\(600\) | −1535.09 | − | 886.284i | −0.104450 | − | 0.0603040i | ||||
\(601\) | 273.119 | − | 1548.93i | 0.0185370 | − | 0.105129i | −0.974135 | − | 0.225965i | \(-0.927447\pi\) |
0.992672 | + | 0.120836i | \(0.0385576\pi\) | |||||||
\(602\) | −5909.85 | − | 10236.2i | −0.400112 | − | 0.693015i | ||||
\(603\) | −295.971 | + | 512.636i | −0.0199882 | + | 0.0346205i | ||||
\(604\) | 8452.25 | + | 7092.28i | 0.569400 | + | 0.477783i | ||||
\(605\) | 6196.40 | − | 1092.59i | 0.416396 | − | 0.0734218i | ||||
\(606\) | −3849.60 | + | 2222.57i | −0.258052 | + | 0.148986i | ||||
\(607\) | −654.453 | − | 1798.09i | −0.0437618 | − | 0.120235i | 0.915887 | − | 0.401437i | \(-0.131489\pi\) |
−0.959649 | + | 0.281202i | \(0.909267\pi\) | |||||||
\(608\) | −18698.8 | + | 6805.80i | −1.24726 | + | 0.453967i | ||||
\(609\) | 24067.7 | + | 4243.78i | 1.60143 | + | 0.282376i | ||||
\(610\) | 6039.50 | + | 7197.60i | 0.400872 | + | 0.477741i | ||||
\(611\) | 7056.29 | + | 8409.36i | 0.467213 | + | 0.556803i | ||||
\(612\) | 2811.32 | + | 495.711i | 0.185688 | + | 0.0327417i | ||||
\(613\) | 5610.21 | − | 2041.95i | 0.369648 | − | 0.134541i | −0.150515 | − | 0.988608i | \(-0.548093\pi\) |
0.520163 | + | 0.854067i | \(0.325871\pi\) | |||||||
\(614\) | −807.409 | − | 2218.34i | −0.0530690 | − | 0.145806i | ||||
\(615\) | −13220.7 | + | 7632.96i | −0.866844 | + | 0.500473i | ||||
\(616\) | −12064.7 | + | 2127.33i | −0.789123 | + | 0.139144i | ||||
\(617\) | −8523.83 | − | 7152.34i | −0.556169 | − | 0.466681i | 0.320855 | − | 0.947128i | \(-0.396030\pi\) |
−0.877024 | + | 0.480447i | \(0.840474\pi\) | |||||||
\(618\) | 2858.64 | − | 4951.30i | 0.186070 | − | 0.322283i | ||||
\(619\) | −10094.4 | − | 17484.0i | −0.655456 | − | 1.13528i | −0.981779 | − | 0.190025i | \(-0.939143\pi\) |
0.326323 | − | 0.945258i | \(-0.394190\pi\) | |||||||
\(620\) | −362.729 | + | 2057.14i | −0.0234960 | + | 0.133253i | ||||
\(621\) | −8020.71 | − | 4630.76i | −0.518293 | − | 0.299237i | ||||
\(622\) | −2185.40 | − | 795.419i | −0.140878 | − | 0.0512756i | ||||
\(623\) | 21355.0i | 1.37330i | ||||||||
\(624\) | 2493.44 | − | 6850.68i | 0.159964 | − | 0.439498i | ||||
\(625\) | −2134.21 | − | 12103.7i | −0.136589 | − | 0.774637i | ||||
\(626\) | −1638.76 | + | 1375.08i | −0.104629 | + | 0.0877946i | ||||
\(627\) | −8977.02 | + | 10698.4i | −0.571783 | + | 0.681424i | ||||
\(628\) | −6296.08 | −0.400065 | ||||||||
\(629\) | 11438.9 | + | 12348.6i | 0.725120 | + | 0.782783i | ||||
\(630\) | −1823.30 | −0.115305 | ||||||||
\(631\) | −2792.36 | + | 3327.80i | −0.176168 | + | 0.209949i | −0.846902 | − | 0.531749i | \(-0.821535\pi\) |
0.670734 | + | 0.741698i | \(0.265979\pi\) | |||||||
\(632\) | 6351.96 | − | 5329.93i | 0.399790 | − | 0.335464i | ||||
\(633\) | −2711.08 | − | 15375.3i | −0.170230 | − | 0.965422i | ||||
\(634\) | 1052.21 | − | 2890.92i | 0.0659126 | − | 0.181093i | ||||
\(635\) | − | 18277.7i | − | 1.14225i | ||||||
\(636\) | 3049.35 | + | 1109.87i | 0.190117 | + | 0.0691969i | ||||
\(637\) | −15879.2 | − | 9167.84i | −0.987685 | − | 0.570240i | ||||
\(638\) | −1052.86 | + | 5971.06i | −0.0653340 | + | 0.370528i | ||||
\(639\) | −1984.85 | − | 3437.85i | −0.122878 | − | 0.212832i | ||||
\(640\) | 7460.89 | − | 12922.6i | 0.460809 | − | 0.798144i | ||||
\(641\) | 7127.14 | + | 5980.38i | 0.439166 | + | 0.368504i | 0.835397 | − | 0.549647i | \(-0.185238\pi\) |
−0.396231 | + | 0.918151i | \(0.629682\pi\) | |||||||
\(642\) | −1915.20 | + | 337.702i | −0.117737 | + | 0.0207602i | ||||
\(643\) | −10045.3 | + | 5799.63i | −0.616091 | + | 0.355700i | −0.775345 | − | 0.631537i | \(-0.782424\pi\) |
0.159255 | + | 0.987238i | \(0.449091\pi\) | |||||||
\(644\) | −3773.32 | − | 10367.1i | −0.230884 | − | 0.634349i | ||||
\(645\) | 16506.8 | − | 6007.98i | 1.00768 | − | 0.366766i | ||||
\(646\) | −9728.07 | − | 1715.32i | −0.592485 | − | 0.104471i | ||||
\(647\) | −14078.6 | − | 16778.2i | −0.855465 | − | 1.01950i | −0.999552 | − | 0.0299384i | \(-0.990469\pi\) |
0.144087 | − | 0.989565i | \(-0.453976\pi\) | |||||||
\(648\) | −5918.33 | − | 7053.19i | −0.358787 | − | 0.427585i | ||||
\(649\) | 5353.62 | + | 943.988i | 0.323803 | + | 0.0570952i | ||||
\(650\) | 1165.37 | − | 424.159i | 0.0703222 | − | 0.0255952i | ||||
\(651\) | 1323.20 | + | 3635.45i | 0.0796623 | + | 0.218870i | ||||
\(652\) | −5337.60 | + | 3081.66i | −0.320608 | + | 0.185103i | ||||
\(653\) | −20906.5 | + | 3686.37i | −1.25288 | + | 0.220917i | −0.760429 | − | 0.649421i | \(-0.775011\pi\) |
−0.492454 | + | 0.870338i | \(0.663900\pi\) | |||||||
\(654\) | 6066.88 | + | 5090.71i | 0.362742 | + | 0.304377i | ||||
\(655\) | −2080.86 | + | 3604.16i | −0.124131 | + | 0.215002i | ||||
\(656\) | 5471.88 | + | 9477.57i | 0.325672 | + | 0.564081i | ||||
\(657\) | −259.626 | + | 1472.41i | −0.0154170 | + | 0.0874341i | ||||
\(658\) | 6315.16 | + | 3646.06i | 0.374150 | + | 0.216015i | ||||
\(659\) | −9707.26 | − | 3533.15i | −0.573810 | − | 0.208850i | 0.0387837 | − | 0.999248i | \(-0.487652\pi\) |
−0.612594 | + | 0.790398i | \(0.709874\pi\) | |||||||
\(660\) | − | 8265.43i | − | 0.487472i | ||||||
\(661\) | −4715.28 | + | 12955.1i | −0.277463 | + | 0.762324i | 0.720185 | + | 0.693782i | \(0.244057\pi\) |
−0.997648 | + | 0.0685419i | \(0.978165\pi\) | |||||||
\(662\) | 1385.45 | + | 7857.30i | 0.0813402 | + | 0.461303i | ||||
\(663\) | 12486.7 | − | 10477.6i | 0.731435 | − | 0.613747i | ||||
\(664\) | −16042.0 | + | 19118.1i | −0.937575 | + | 1.11736i | ||||
\(665\) | −31115.3 | −1.81443 | ||||||||
\(666\) | 73.5318 | + | 1498.08i | 0.00427823 | + | 0.0871615i | ||||
\(667\) | −12027.5 | −0.698212 | ||||||||
\(668\) | 12807.8 | − | 15263.7i | 0.741839 | − | 0.884090i | ||||
\(669\) | −18265.2 | + | 15326.3i | −1.05556 | + | 0.885723i | ||||
\(670\) | 210.507 | + | 1193.84i | 0.0121382 | + | 0.0688391i | ||||
\(671\) | 7282.20 | − | 20007.7i | 0.418966 | − | 1.15110i | ||||
\(672\) | − | 21811.7i | − | 1.25209i | ||||||
\(673\) | −23344.2 | − | 8496.59i | −1.33708 | − | 0.486656i | −0.428186 | − | 0.903691i | \(-0.640847\pi\) |
−0.908891 | + | 0.417034i | \(0.863069\pi\) | |||||||
\(674\) | 5995.71 | + | 3461.62i | 0.342650 | + | 0.197829i | ||||
\(675\) | −592.245 | + | 3358.79i | −0.0337712 | + | 0.191526i | ||||
\(676\) | 123.235 | + | 213.449i | 0.00701154 | + | 0.0121443i | ||||
\(677\) | 356.758 | − | 617.922i | 0.0202530 | − | 0.0350793i | −0.855721 | − | 0.517437i | \(-0.826886\pi\) |
0.875974 | + | 0.482358i | \(0.160219\pi\) | |||||||
\(678\) | 1574.25 | + | 1320.95i | 0.0891719 | + | 0.0748241i | ||||
\(679\) | 4284.77 | − | 755.520i | 0.242171 | − | 0.0427013i | ||||
\(680\) | 11152.6 | − | 6438.94i | 0.628944 | − | 0.363121i | ||||
\(681\) | 5414.57 | + | 14876.4i | 0.304679 | + | 0.837100i | ||||
\(682\) | −901.936 | + | 328.278i | −0.0506406 | + | 0.0184317i | ||||
\(683\) | −12714.6 | − | 2241.93i | −0.712316 | − | 0.125600i | −0.194263 | − | 0.980949i | \(-0.562232\pi\) |
−0.518052 | + | 0.855349i | \(0.673343\pi\) | |||||||
\(684\) | 2790.29 | + | 3325.34i | 0.155979 | + | 0.185888i | ||||
\(685\) | 18241.6 | + | 21739.4i | 1.01748 | + | 1.21259i | ||||
\(686\) | −1389.15 | − | 244.945i | −0.0773149 | − | 0.0136327i | ||||
\(687\) | 28834.8 | − | 10495.0i | 1.60133 | − | 0.582838i | ||||
\(688\) | −4306.97 | − | 11833.3i | −0.238665 | − | 0.655727i | ||||
\(689\) | −4331.06 | + | 2500.54i | −0.239478 | + | 0.138263i | ||||
\(690\) | −3274.11 | + | 577.314i | −0.180642 | + | 0.0318521i | ||||
\(691\) | −985.534 | − | 826.961i | −0.0542569 | − | 0.0455269i | 0.615256 | − | 0.788327i | \(-0.289053\pi\) |
−0.669513 | + | 0.742800i | \(0.733497\pi\) | |||||||
\(692\) | 12811.9 | − | 22190.9i | 0.703809 | − | 1.21903i | ||||
\(693\) | 2065.88 | + | 3578.21i | 0.113241 | + | 0.196140i | ||||
\(694\) | 1458.68 | − | 8272.60i | 0.0797851 | − | 0.452484i | ||||
\(695\) | 25345.8 | + | 14633.4i | 1.38334 | + | 0.798670i | ||||
\(696\) | −14453.2 | − | 5260.52i | −0.787135 | − | 0.286494i | ||||
\(697\) | 24468.7i | 1.32972i | ||||||||
\(698\) | 2153.41 | − | 5916.44i | 0.116773 | − | 0.320831i | ||||
\(699\) | 1806.90 | + | 10247.4i | 0.0977729 | + | 0.554498i | ||||
\(700\) | −3112.25 | + | 2611.49i | −0.168046 | + | 0.141007i | ||||
\(701\) | 22114.1 | − | 26354.6i | 1.19149 | − | 1.41997i | 0.308090 | − | 0.951357i | \(-0.400310\pi\) |
0.883405 | − | 0.468611i | \(-0.155245\pi\) | |||||||
\(702\) | 8286.23 | 0.445504 | ||||||||
\(703\) | 1254.85 | + | 25565.4i | 0.0673222 | + | 1.37157i | ||||
\(704\) | −1715.38 | −0.0918336 | ||||||||
\(705\) | −6966.12 | + | 8301.90i | −0.372141 | + | 0.443500i | ||||
\(706\) | −8318.34 | + | 6979.91i | −0.443434 | + | 0.372086i | ||||
\(707\) | 3897.10 | + | 22101.5i | 0.207306 | + | 1.17569i | ||||
\(708\) | −2141.19 | + | 5882.88i | −0.113660 | + | 0.312277i | ||||
\(709\) | 21785.2i | 1.15396i | 0.816757 | + | 0.576981i | \(0.195770\pi\) | ||||
−0.816757 | + | 0.576981i | \(0.804230\pi\) | |||||||
\(710\) | −7639.41 | − | 2780.52i | −0.403806 | − | 0.146973i | ||||
\(711\) | −2421.90 | − | 1398.28i | −0.127747 | − | 0.0737548i | ||||
\(712\) | 2333.80 | − | 13235.6i | 0.122841 | − | 0.696666i | ||||
\(713\) | −951.998 | − | 1648.91i | −0.0500036 | − | 0.0866088i | ||||
\(714\) | 5413.85 | − | 9377.07i | 0.283765 | − | 0.491496i | ||||
\(715\) | 9758.03 | + | 8187.96i | 0.510391 | + | 0.428269i | ||||
\(716\) | −16512.1 | + | 2911.54i | −0.861854 | + | 0.151968i | ||||
\(717\) | −15814.4 | + | 9130.46i | −0.823710 | + | 0.475569i | ||||
\(718\) | −3506.00 | − | 9632.66i | −0.182232 | − | 0.500679i | ||||
\(719\) | 16744.0 | − | 6094.33i | 0.868494 | − | 0.316106i | 0.130937 | − | 0.991391i | \(-0.458201\pi\) |
0.737557 | + | 0.675285i | \(0.235979\pi\) | |||||||
\(720\) | −1913.03 | − | 337.319i | −0.0990202 | − | 0.0174599i | ||||
\(721\) | −18554.2 | − | 22112.1i | −0.958385 | − | 1.14216i | ||||
\(722\) | −4535.15 | − | 5404.78i | −0.233768 | − | 0.278594i | ||||
\(723\) | 7180.98 | + | 1266.20i | 0.369382 | + | 0.0651321i | ||||
\(724\) | 16714.8 | − | 6083.68i | 0.858010 | − | 0.312290i | ||||
\(725\) | 1514.87 | + | 4162.08i | 0.0776014 | + | 0.213208i | ||||
\(726\) | −2883.40 | + | 1664.73i | −0.147401 | + | 0.0851019i | ||||
\(727\) | −13568.6 | + | 2392.52i | −0.692205 | + | 0.122054i | −0.508674 | − | 0.860959i | \(-0.669864\pi\) |
−0.183532 | + | 0.983014i | \(0.558753\pi\) | |||||||
\(728\) | 16655.9 | + | 13976.0i | 0.847953 | + | 0.711517i | ||||
\(729\) | −10949.6 | + | 18965.2i | −0.556296 | + | 0.963533i | ||||
\(730\) | 1530.96 | + | 2651.71i | 0.0776212 | + | 0.134444i | ||||
\(731\) | 4889.16 | − | 27727.8i | 0.247376 | − | 1.40294i | ||||
\(732\) | 21234.9 | + | 12260.0i | 1.07222 | + | 0.619045i | ||||
\(733\) | −14463.2 | − | 5264.18i | −0.728801 | − | 0.265262i | −0.0491436 | − | 0.998792i | \(-0.515649\pi\) |
−0.679657 | + | 0.733530i | \(0.737871\pi\) | |||||||
\(734\) | − | 4841.85i | − | 0.243482i | ||||||
\(735\) | 6191.03 | − | 17009.7i | 0.310693 | − | 0.853623i | ||||
\(736\) | 1864.03 | + | 10571.4i | 0.0933546 | + | 0.529440i | ||||
\(737\) | 2104.39 | − | 1765.80i | 0.105178 | − | 0.0882550i | ||||
\(738\) | −1401.48 | + | 1670.21i | −0.0699038 | + | 0.0833081i | ||||
\(739\) | 33998.9 | 1.69238 | 0.846191 | − | 0.532879i | \(-0.178890\pi\) | ||||
0.846191 | + | 0.532879i | \(0.178890\pi\) | |||||||
\(740\) | −10294.6 | − | 11113.2i | −0.511401 | − | 0.552069i | ||||
\(741\) | 24786.5 | 1.22882 | ||||||||
\(742\) | −2135.38 | + | 2544.85i | −0.105650 | + | 0.125909i | ||||
\(743\) | −11872.7 | + | 9962.42i | −0.586230 | + | 0.491905i | −0.886986 | − | 0.461796i | \(-0.847205\pi\) |
0.300756 | + | 0.953701i | \(0.402761\pi\) | |||||||
\(744\) | −422.802 | − | 2397.83i | −0.0208342 | − | 0.118157i | ||||
\(745\) | 4166.82 | − | 11448.2i | 0.204913 | − | 0.562995i | ||||
\(746\) | − | 2740.69i | − | 0.134509i | ||||||
\(747\) | 7909.46 | + | 2878.81i | 0.387406 | + | 0.141004i | ||||
\(748\) | −11473.2 | − | 6624.04i | −0.560830 | − | 0.323795i | ||||
\(749\) | −1704.98 | + | 9669.44i | −0.0831758 | + | 0.471714i | ||||
\(750\) | 3999.00 | + | 6926.47i | 0.194697 | + | 0.337225i | ||||
\(751\) | 6006.57 | − | 10403.7i | 0.291855 | − | 0.505507i | −0.682394 | − | 0.730985i | \(-0.739061\pi\) |
0.974248 | + | 0.225478i | \(0.0723943\pi\) | |||||||
\(752\) | 5951.42 | + | 4993.83i | 0.288598 | + | 0.242163i | ||||
\(753\) | 4099.29 | − | 722.815i | 0.198388 | − | 0.0349812i | ||||
\(754\) | 9319.26 | − | 5380.48i | 0.450116 | − | 0.259875i | ||||
\(755\) | −5741.52 | − | 15774.7i | −0.276762 | − | 0.760397i | ||||
\(756\) | −25508.6 | + | 9284.37i | −1.22717 | + | 0.446652i | ||||
\(757\) | 35420.7 | + | 6245.63i | 1.70064 | + | 0.299870i | 0.937919 | − | 0.346853i | \(-0.112750\pi\) |
0.762725 | + | 0.646723i | \(0.223861\pi\) | |||||||
\(758\) | −9578.91 | − | 11415.7i | −0.458999 | − | 0.547014i | ||||
\(759\) | 4842.69 | + | 5771.30i | 0.231592 | + | 0.276001i | ||||
\(760\) | 19285.0 | + | 3400.46i | 0.920447 | + | 0.162300i | ||||
\(761\) | −17515.7 | + | 6375.21i | −0.834356 | + | 0.303681i | −0.723646 | − | 0.690172i | \(-0.757535\pi\) |
−0.110711 | + | 0.993853i | \(0.535313\pi\) | |||||||
\(762\) | 3307.95 | + | 9088.51i | 0.157263 | + | 0.432076i | ||||
\(763\) | 34628.0 | − | 19992.5i | 1.64301 | − | 0.948594i | ||||
\(764\) | 1874.50 | − | 330.524i | 0.0887656 | − | 0.0156518i | ||||
\(765\) | −3327.13 | − | 2791.79i | −0.157245 | − | 0.131944i | ||||
\(766\) | 1175.86 | − | 2036.65i | 0.0554642 | − | 0.0960668i | ||||
\(767\) | −4824.11 | − | 8355.60i | −0.227103 | − | 0.393355i | ||||
\(768\) | −958.532 | + | 5436.11i | −0.0450365 | + | 0.255415i | ||||
\(769\) | −9309.04 | − | 5374.58i | −0.436531 | − | 0.252031i | 0.265594 | − | 0.964085i | \(-0.414432\pi\) |
−0.702125 | + | 0.712054i | \(0.747765\pi\) | |||||||
\(770\) | 7951.30 | + | 2894.04i | 0.372136 | + | 0.135447i | ||||
\(771\) | 5702.12i | 0.266351i | ||||||||
\(772\) | −4808.13 | + | 13210.2i | −0.224156 | + | 0.615864i | ||||
\(773\) | −6064.47 | − | 34393.3i | −0.282178 | − | 1.60031i | −0.715194 | − | 0.698926i | \(-0.753662\pi\) |
0.433016 | − | 0.901386i | \(-0.357449\pi\) | |||||||
\(774\) | 1921.88 | − | 1612.65i | 0.0892512 | − | 0.0748906i | ||||
\(775\) | −450.695 | + | 537.117i | −0.0208896 | + | 0.0248952i | ||||
\(776\) | −2738.23 | −0.126671 | ||||||||
\(777\) | −26803.4 | − | 8291.88i | −1.23754 | − | 0.382844i | ||||
\(778\) | 2275.05 | 0.104838 | ||||||||
\(779\) | −23916.7 | + | 28502.8i | −1.10001 | + | 1.31094i | ||||
\(780\) | −11237.5 | + | 9429.39i | −0.515856 | + | 0.432854i | ||||
\(781\) | 3199.06 | + | 18142.7i | 0.146570 | + | 0.831240i | ||||
\(782\) | −1822.56 | + | 5007.44i | −0.0833434 | + | 0.228984i | ||||
\(783\) | 29594.1i | 1.35071i | ||||||||
\(784\) | −12193.8 | − | 4438.19i | −0.555477 | − | 0.202177i | ||||
\(785\) | 8295.79 | + | 4789.57i | 0.377184 | + | 0.217767i | ||||
\(786\) | 382.410 | − | 2168.76i | 0.0173538 | − | 0.0984185i | ||||
\(787\) | −2511.55 | − | 4350.14i | −0.113758 | − | 0.197034i | 0.803525 | − | 0.595271i | \(-0.202955\pi\) |
−0.917282 | + | 0.398237i | \(0.869622\pi\) | |||||||
\(788\) | 16215.5 | − | 28086.0i | 0.733061 | − | 1.26970i | ||||
\(789\) | −17249.9 | − | 14474.4i | −0.778344 | − | 0.653108i | ||||
\(790\) | −5640.19 | + | 994.517i | −0.254011 | + | 0.0447890i | ||||
\(791\) | 8985.36 | − | 5187.70i | 0.403897 | − | 0.233190i | ||||
\(792\) | −889.367 | − | 2443.51i | −0.0399018 | − | 0.109629i | ||||
\(793\) | −35509.7 | + | 12924.5i | −1.59015 | + | 0.578767i | ||||
\(794\) | 375.946 | + | 66.2895i | 0.0168033 | + | 0.00296288i | ||||
\(795\) | −3173.55 | − | 3782.09i | −0.141578 | − | 0.168726i | ||||
\(796\) | 7677.04 | + | 9149.14i | 0.341841 | + | 0.407390i | ||||
\(797\) | 11819.8 | + | 2084.15i | 0.525318 | + | 0.0926278i | 0.430017 | − | 0.902821i | \(-0.358508\pi\) |
0.0953010 | + | 0.995448i | \(0.469619\pi\) | |||||||
\(798\) | 15472.0 | − | 5631.33i | 0.686343 | − | 0.249808i | ||||
\(799\) | 5941.04 | + | 16322.9i | 0.263053 | + | 0.722731i | ||||
\(800\) | 3423.43 | − | 1976.52i | 0.151296 | − | 0.0873507i | ||||
\(801\) | −4463.91 | + | 787.107i | −0.196909 | + | 0.0347204i | ||||
\(802\) | −3806.93 | − | 3194.39i | −0.167615 | − | 0.140646i | ||||
\(803\) | 3469.30 | − | 6009.01i | 0.152465 | − | 0.264076i | ||||
\(804\) | 1581.80 | + | 2739.76i | 0.0693853 | + | 0.120179i | ||||
\(805\) | −2914.73 | + | 16530.3i | −0.127616 | + | 0.723745i | ||||
\(806\) | 1475.27 | + | 851.747i | 0.0644716 | + | 0.0372227i | ||||
\(807\) | −6276.35 | − | 2284.40i | −0.273777 | − | 0.0996466i | ||||
\(808\) | − | 14124.2i | − | 0.614962i | ||||||
\(809\) | −8357.72 | + | 22962.6i | −0.363216 | + | 0.997927i | 0.614669 | + | 0.788785i | \(0.289289\pi\) |
−0.977885 | + | 0.209142i | \(0.932933\pi\) | |||||||
\(810\) | 1104.31 | + | 6262.83i | 0.0479029 | + | 0.271671i | ||||
\(811\) | −8052.29 | + | 6756.68i | −0.348649 | + | 0.292551i | −0.800247 | − | 0.599670i | \(-0.795298\pi\) |
0.451598 | + | 0.892221i | \(0.350854\pi\) | |||||||
\(812\) | −22660.1 | + | 27005.3i | −0.979327 | + | 1.16712i | ||||
\(813\) | −22617.9 | −0.975700 | ||||||||
\(814\) | 2057.17 | − | 6649.77i | 0.0885796 | − | 0.286332i | ||||
\(815\) | 9377.18 | 0.403028 | ||||||||
\(816\) | 7415.11 | − | 8836.98i | 0.318114 | − | 0.379113i | ||||
\(817\) | 32797.5 | − | 27520.4i | 1.40446 | − | 1.17848i | ||||
\(818\) | −1053.87 | − | 5976.81i | −0.0450462 | − | 0.255470i | ||||
\(819\) | 2508.06 | − | 6890.83i | 0.107007 | − | 0.293999i | ||||
\(820\) | − | 22020.9i | − | 0.937808i | ||||||
\(821\) | −26483.0 | − | 9639.03i | −1.12578 | − | 0.409750i | −0.289020 | − | 0.957323i | \(-0.593329\pi\) |
−0.836758 | + | 0.547573i | \(0.815552\pi\) | |||||||
\(822\) | −13005.0 | − | 7508.45i | −0.551828 | − | 0.318598i | ||||
\(823\) | 162.516 | − | 921.677i | 0.00688331 | − | 0.0390372i | −0.981173 | − | 0.193133i | \(-0.938135\pi\) |
0.988056 | + | 0.154095i | \(0.0492463\pi\) | |||||||
\(824\) | 9083.21 | + | 15732.6i | 0.384015 | + | 0.665134i | ||||
\(825\) | 1387.20 | − | 2402.70i | 0.0585406 | − | 0.101395i | ||||
\(826\) | −4909.59 | − | 4119.63i | −0.206812 | − | 0.173536i | ||||
\(827\) | 13128.5 | − | 2314.91i | 0.552022 | − | 0.0973364i | 0.109323 | − | 0.994006i | \(-0.465132\pi\) |
0.442700 | + | 0.896670i | \(0.354021\pi\) | |||||||
\(828\) | 2027.99 | − | 1170.86i | 0.0851180 | − | 0.0491429i | ||||
\(829\) | −7174.90 | − | 19712.9i | −0.300597 | − | 0.825883i | −0.994396 | − | 0.105715i | \(-0.966287\pi\) |
0.693800 | − | 0.720168i | \(-0.255935\pi\) | |||||||
\(830\) | 16198.1 | − | 5895.63i | 0.677403 | − | 0.246554i | ||||
\(831\) | 11226.5 | + | 1979.54i | 0.468645 | + | 0.0826348i | ||||
\(832\) | 1956.94 | + | 2332.20i | 0.0815443 | + | 0.0971807i | ||||
\(833\) | −18649.5 | − | 22225.6i | −0.775709 | − | 0.924454i | ||||
\(834\) | −15251.5 | − | 2689.25i | −0.633233 | − | 0.111656i | ||||
\(835\) | −28487.2 | + | 10368.5i | −1.18065 | + | 0.429720i | ||||
\(836\) | −6890.14 | − | 18930.5i | −0.285048 | − | 0.783164i | ||||
\(837\) | −4057.19 | + | 2342.42i | −0.167547 | + | 0.0967335i | ||||
\(838\) | −5132.60 | + | 905.016i | −0.211578 | + | 0.0373070i | ||||
\(839\) | 11418.0 | + | 9580.85i | 0.469838 | + | 0.394240i | 0.846735 | − | 0.532014i | \(-0.178565\pi\) |
−0.376898 | + | 0.926255i | \(0.623009\pi\) | |||||||
\(840\) | −10732.5 | + | 18589.2i | −0.440839 | + | 0.763556i | ||||
\(841\) | 7021.76 | + | 12162.1i | 0.287907 | + | 0.498670i | ||||
\(842\) | −68.0415 | + | 385.882i | −0.00278487 | + | 0.0157938i | ||||
\(843\) | −35422.1 | − | 20451.0i | −1.44721 | − | 0.835550i | ||||
\(844\) | 21162.6 | + | 7702.55i | 0.863088 | + | 0.314138i | ||||
\(845\) | − | 374.990i | − | 0.0152663i | ||||||
\(846\) | −529.383 | + | 1454.47i | −0.0215137 | + | 0.0591083i | ||||
\(847\) | 2918.98 | + | 16554.3i | 0.118415 | + | 0.671563i | ||||
\(848\) | −2711.28 | + | 2275.04i | −0.109795 | + | 0.0921286i | ||||
\(849\) | 5146.46 | − | 6133.32i | 0.208040 | − | 0.247933i | ||||
\(850\) | 1962.36 | 0.0791863 | ||||||||
\(851\) | 13699.4 | + | 1728.19i | 0.551831 | + | 0.0696142i | ||||
\(852\) | −21215.8 | −0.853101 | ||||||||
\(853\) | 25727.2 | − | 30660.5i | 1.03269 | − | 1.23071i | 0.0600970 | − | 0.998193i | \(-0.480859\pi\) |
0.972592 | − | 0.232518i | \(-0.0746966\pi\) | |||||||
\(854\) | −19229.1 | + | 16135.2i | −0.770501 | + | 0.646527i | ||||
\(855\) | −1146.86 | − | 6504.14i | −0.0458732 | − | 0.260160i | ||||
\(856\) | 2113.47 | − | 5806.70i | 0.0843888 | − | 0.231856i | ||||
\(857\) | 17228.6i | 0.686717i | 0.939204 | + | 0.343359i | \(0.111565\pi\) | ||||
−0.939204 | + | 0.343359i | \(0.888435\pi\) | |||||||
\(858\) | −6334.03 | − | 2305.40i | −0.252028 | − | 0.0917307i | ||||
\(859\) | −4849.23 | − | 2799.71i | −0.192612 | − | 0.111205i | 0.400593 | − | 0.916256i | \(-0.368804\pi\) |
−0.593205 | + | 0.805052i | \(0.702138\pi\) | |||||||
\(860\) | −4400.06 | + | 24954.0i | −0.174466 | + | 0.989445i | ||||
\(861\) | −20392.3 | − | 35320.4i | −0.807162 | − | 1.39805i | ||||
\(862\) | −3119.18 | + | 5402.59i | −0.123248 | + | 0.213472i | ||||
\(863\) | 880.051 | + | 738.451i | 0.0347130 | + | 0.0291276i | 0.659979 | − | 0.751284i | \(-0.270565\pi\) |
−0.625266 | + | 0.780412i | \(0.715010\pi\) | |||||||
\(864\) | 26011.4 | − | 4586.50i | 1.02422 | − | 0.180597i | ||||
\(865\) | −33762.2 | + | 19492.6i | −1.32711 | + | 0.766207i | ||||
\(866\) | 3461.86 | + | 9511.38i | 0.135841 | + | 0.373221i | ||||
\(867\) | 2949.35 | − | 1073.47i | 0.115531 | − | 0.0420497i | ||||
\(868\) | −5495.86 | − | 969.069i | −0.214910 | − | 0.0378944i | ||||
\(869\) | 8342.32 | + | 9941.99i | 0.325655 | + | 0.388100i | ||||
\(870\) | 6828.61 | + | 8138.02i | 0.266105 | + | 0.317132i | ||||
\(871\) | −4801.48 | − | 846.631i | −0.186788 | − | 0.0329357i | ||||
\(872\) | −23647.1 | + | 8606.83i | −0.918338 | + | 0.334248i | ||||
\(873\) | 315.858 | + | 867.814i | 0.0122453 | + | 0.0336438i | ||||
\(874\) | −7017.51 | + | 4051.56i | −0.271592 | + | 0.156803i | ||||
\(875\) | 39766.7 | − | 7011.93i | 1.53641 | − | 0.270910i | ||||
\(876\) | 6121.17 | + | 5136.27i | 0.236090 | + | 0.198103i | ||||
\(877\) | 1133.52 | − | 1963.32i | 0.0436446 | − | 0.0755947i | −0.843378 | − | 0.537321i | \(-0.819436\pi\) |
0.887022 | + | 0.461726i | \(0.152770\pi\) | |||||||
\(878\) | 839.605 | + | 1454.24i | 0.0322725 | + | 0.0558977i | ||||
\(879\) | 2069.08 | − | 11734.3i | 0.0793950 | − | 0.450271i | ||||
\(880\) | 7807.21 | + | 4507.50i | 0.299069 | + | 0.172668i | ||||
\(881\) | 31932.3 | + | 11622.4i | 1.22114 | + | 0.444459i | 0.870555 | − | 0.492071i | \(-0.163760\pi\) |
0.350587 | + | 0.936530i | \(0.385982\pi\) | |||||||
\(882\) | − | 2585.27i | − | 0.0986968i | ||||||
\(883\) | 6938.41 | − | 19063.1i | 0.264435 | − | 0.726529i | −0.734420 | − | 0.678695i | \(-0.762546\pi\) |
0.998855 | − | 0.0478339i | \(-0.0152318\pi\) | |||||||
\(884\) | 4082.95 | + | 23155.6i | 0.155344 | + | 0.881002i | ||||
\(885\) | 7296.50 | − | 6122.49i | 0.277140 | − | 0.232548i | ||||
\(886\) | 2556.11 | − | 3046.25i | 0.0969235 | − | 0.115509i | ||||
\(887\) | −3352.59 | −0.126910 | −0.0634548 | − | 0.997985i | \(-0.520212\pi\) | ||||
−0.0634548 | + | 0.997985i | \(0.520212\pi\) | |||||||
\(888\) | 15706.3 | + | 8068.47i | 0.593547 | + | 0.304910i | ||||
\(889\) | 48830.7 | 1.84222 | ||||||||
\(890\) | −5966.89 | + | 7111.07i | −0.224731 | + | 0.267824i | ||||
\(891\) | 11039.5 | − | 9263.27i | 0.415082 | − | 0.348295i | ||||
\(892\) | −5972.43 | − | 33871.3i | −0.224184 | − | 1.27141i | ||||
\(893\) | −9034.12 | + | 24821.0i | −0.338539 | + | 0.930128i | ||||
\(894\) | 6446.72i | 0.241175i | ||||||||
\(895\) | 23971.5 | + | 8724.90i | 0.895282 | + | 0.325856i | ||||
\(896\) | 34524.2 | + | 19932.5i | 1.28725 | + | 0.743192i | ||||
\(897\) | 2321.88 | − | 13168.1i | 0.0864274 | − | 0.490154i | ||||
\(898\) | 2914.70 | + | 5048.41i | 0.108313 | + | 0.187603i | ||||
\(899\) | −3042.00 | + | 5268.89i | −0.112855 | + | 0.195470i | ||||
\(900\) | −660.601 | − | 554.310i | −0.0244667 | − | 0.0205300i | ||||
\(901\) | −7793.22 | + | 1374.15i | −0.288157 | + | 0.0508099i | ||||
\(902\) | 8762.81 | − | 5059.21i | 0.323470 | − | 0.186755i | ||||
\(903\) | 16050.9 | + | 44099.6i | 0.591519 | + | 1.62519i | ||||
\(904\) | −6135.99 | + | 2233.32i | −0.225752 | + | 0.0821671i | ||||
\(905\) | −26651.6 | − | 4699.39i | −0.978926 | − | 0.172611i | ||||
\(906\) | 5709.90 | + | 6804.80i | 0.209381 | + | 0.249530i | ||||
\(907\) | −13946.6 | − | 16620.9i | −0.510571 | − | 0.608475i | 0.447753 | − | 0.894157i | \(-0.352224\pi\) |
−0.958324 | + | 0.285682i | \(0.907780\pi\) | |||||||
\(908\) | −22489.3 | − | 3965.46i | −0.821952 | − | 0.144932i | ||||
\(909\) | −4476.33 | + | 1629.25i | −0.163334 | + | 0.0594486i | ||||
\(910\) | −5136.35 | − | 14112.0i | −0.187108 | − | 0.514075i | ||||
\(911\) | 3610.13 | − | 2084.31i | 0.131294 | − | 0.0758027i | −0.432914 | − | 0.901435i | \(-0.642515\pi\) |
0.564208 | + | 0.825632i | \(0.309181\pi\) | |||||||
\(912\) | 17275.3 | − | 3046.09i | 0.627238 | − | 0.110599i | ||||
\(913\) | −29923.3 | − | 25108.6i | −1.08468 | − | 0.910159i | ||||
\(914\) | 1861.32 | − | 3223.90i | 0.0673600 | − | 0.116671i | ||||
\(915\) | −18652.9 | − | 32307.7i | −0.673929 | − | 1.16728i | ||||
\(916\) | −7686.23 | + | 43590.8i | −0.277249 | + | 1.57236i | ||||
\(917\) | −9628.89 | − | 5559.24i | −0.346755 | − | 0.200199i | ||||
\(918\) | 12321.0 | + | 4484.46i | 0.442977 | + | 0.161230i | ||||
\(919\) | − | 3074.42i | − | 0.110354i | −0.998477 | − | 0.0551772i | \(-0.982428\pi\) | ||
0.998477 | − | 0.0551772i | \(-0.0175724\pi\) | |||||||
\(920\) | 3613.05 | − | 9926.77i | 0.129477 | − | 0.355735i | ||||
\(921\) | 1627.63 | + | 9230.73i | 0.0582325 | + | 0.330253i | ||||
\(922\) | −10894.6 | + | 9141.68i | −0.389149 | + | 0.326535i | ||||
\(923\) | 21016.9 | − | 25047.0i | 0.749492 | − | 0.893210i | ||||
\(924\) | 22082.0 | 0.786194 | ||||||||
\(925\) | −1127.41 | − | 4958.29i | −0.0400746 | − | 0.176246i | ||||
\(926\) | −8433.84 | −0.299302 | ||||||||
\(927\) | 3938.29 | − | 4693.47i | 0.139537 | − | 0.166293i | ||||
\(928\) | 26276.0 | − | 22048.2i | 0.929474 | − | 0.779921i | ||||
\(929\) | 1100.03 | + | 6238.58i | 0.0388491 | + | 0.220324i | 0.998051 | − | 0.0623962i | \(-0.0198742\pi\) |
−0.959202 | + | 0.282720i | \(0.908763\pi\) | |||||||
\(930\) | −575.184 | + | 1580.30i | −0.0202807 | + | 0.0557206i | ||||
\(931\) | − | 44118.6i | − | 1.55309i | ||||||
\(932\) | −14104.6 | − | 5133.66i | −0.495721 | − | 0.180428i | ||||
\(933\) | 7996.82 | + | 4616.96i | 0.280605 | + | 0.162007i | ||||
\(934\) | 2203.24 | − | 12495.2i | 0.0771866 | − | 0.437747i | ||||
\(935\) | 10078.1 | + | 17455.8i | 0.352503 | + | 0.610553i | ||||
\(936\) | −2307.54 | + | 3996.78i | −0.0805816 | + | 0.139571i | ||||
\(937\) | 10087.2 | + | 8464.16i | 0.351691 | + | 0.295104i | 0.801469 | − | 0.598037i | \(-0.204052\pi\) |
−0.449778 | + | 0.893141i | \(0.648497\pi\) | |||||||
\(938\) | −3189.48 | + | 562.391i | −0.111024 | + | 0.0195765i | ||||
\(939\) | 7355.88 | − | 4246.92i | 0.255644 | − | 0.147596i | ||||
\(940\) | −5346.71 | − | 14690.0i | −0.185522 | − | 0.509717i | ||||
\(941\) | −16825.4 | + | 6123.94i | −0.582882 | + | 0.212152i | −0.616596 | − | 0.787280i | \(-0.711489\pi\) |
0.0337140 | + | 0.999432i | \(0.489266\pi\) | |||||||
\(942\) | −4991.88 | − | 880.204i | −0.172659 | − | 0.0304444i | ||||
\(943\) | 12902.0 | + | 15376.0i | 0.445542 | + | 0.530976i | ||||
\(944\) | −4389.06 | − | 5230.68i | −0.151326 | − | 0.180343i | ||||
\(945\) | 40673.3 | + | 7171.79i | 1.40011 | + | 0.246877i | ||||
\(946\) | −10940.9 | + | 3982.15i | −0.376024 | + | 0.136861i | ||||
\(947\) | 5559.66 | + | 15275.1i | 0.190776 | + | 0.524153i | 0.997795 | − | 0.0663730i | \(-0.0211427\pi\) |
−0.807019 | + | 0.590526i | \(0.798921\pi\) | |||||||
\(948\) | −12943.7 | + | 7473.04i | −0.443451 | + | 0.256027i | ||||
\(949\) | −12127.6 | + | 2138.42i | −0.414835 | + | 0.0731465i | ||||
\(950\) | 2285.89 | + | 1918.09i | 0.0780675 | + | 0.0655064i | ||||
\(951\) | −6107.49 | + | 10578.5i | −0.208253 | + | 0.360705i | ||||
\(952\) | 17202.3 | + | 29795.3i | 0.585641 | + | 1.01436i | ||||
\(953\) | 9418.14 | − | 53412.9i | 0.320130 | − | 1.81555i | −0.221766 | − | 0.975100i | \(-0.571182\pi\) |
0.541896 | − | 0.840446i | \(-0.317707\pi\) | |||||||
\(954\) | −610.665 | − | 352.568i | −0.0207243 | − | 0.0119652i | ||||
\(955\) | −2721.30 | − | 990.471i | −0.0922085 | − | 0.0335611i | ||||
\(956\) | − | 26341.1i | − | 0.891143i | ||||||
\(957\) | 8233.68 | − | 22621.9i | 0.278116 | − | 0.764118i | ||||
\(958\) | −1971.40 | − | 11180.4i | −0.0664854 | − | 0.377057i | ||||
\(959\) | −58079.2 | + | 48734.2i | −1.95566 | + | 1.64099i | ||||
\(960\) | −1931.94 | + | 2302.39i | −0.0649510 | + | 0.0774056i | ||||
\(961\) | 28827.9 | 0.967671 | ||||||||
\(962\) | −11387.8 | + | 4789.32i | −0.381659 | + | 0.160513i | ||||
\(963\) | −2084.08 | −0.0697389 | ||||||||
\(964\) | −6761.00 | + | 8057.45i | −0.225889 | + | 0.269204i | ||||
\(965\) | 16384.6 | − | 13748.3i | 0.546568 | − | 0.458625i | ||||
\(966\) | −1542.36 | − | 8747.13i | −0.0513711 | − | 0.291340i | ||||
\(967\) | 1157.74 | − | 3180.86i | 0.0385008 | − | 0.105780i | −0.918953 | − | 0.394368i | \(-0.870964\pi\) |
0.957453 | + | 0.288588i | \(0.0931857\pi\) | |||||||
\(968\) | − | 10579.2i | − | 0.351270i | ||||||
\(969\) | 36855.6 | + | 13414.3i | 1.22185 | + | 0.444717i | ||||
\(970\) | 1637.90 | + | 945.644i | 0.0542164 | + | 0.0313019i | ||||
\(971\) | −2413.31 | + | 13686.6i | −0.0797600 | + | 0.452341i | 0.918605 | + | 0.395177i | \(0.129317\pi\) |
−0.998365 | + | 0.0571640i | \(0.981794\pi\) | |||||||
\(972\) | −5256.91 | − | 9105.24i | −0.173473 | − | 0.300464i | ||||
\(973\) | −39094.6 | + | 67713.9i | −1.28809 | + | 2.23105i | ||||
\(974\) | 3776.08 | + | 3168.51i | 0.124223 | + | 0.104236i | ||||
\(975\) | −4849.20 | + | 855.045i | −0.159281 | + | 0.0280855i | ||||
\(976\) | −23160.6 | + | 13371.8i | −0.759583 | + | 0.438545i | ||||
\(977\) | 10660.8 | + | 29290.3i | 0.349099 | + | 0.959141i | 0.982655 | + | 0.185444i | \(0.0593724\pi\) |
−0.633556 | + | 0.773697i | \(0.718405\pi\) | |||||||
\(978\) | −4662.77 | + | 1697.11i | −0.152453 | + | 0.0554883i | ||||
\(979\) | 20716.2 | + | 3652.82i | 0.676294 | + | 0.119249i | ||||
\(980\) | 16783.8 | + | 20002.1i | 0.547080 | + | 0.651985i | ||||
\(981\) | 5455.44 | + | 6501.54i | 0.177552 | + | 0.211598i | ||||
\(982\) | −5705.01 | − | 1005.95i | −0.185391 | − | 0.0326895i | ||||
\(983\) | −27966.5 | + | 10179.0i | −0.907417 | + | 0.330273i | −0.753221 | − | 0.657767i | \(-0.771501\pi\) |
−0.154196 | + | 0.988040i | \(0.549279\pi\) | |||||||
\(984\) | 8778.92 | + | 24119.9i | 0.284412 | + | 0.781417i | ||||
\(985\) | −42731.4 | + | 24671.0i | −1.38227 | + | 0.798054i | ||||
\(986\) | 16768.9 | − | 2956.81i | 0.541612 | − | 0.0955009i | ||||
\(987\) | −22179.4 | − | 18610.7i | −0.715276 | − | 0.600188i | ||||
\(988\) | −17877.1 | + | 30964.0i | −0.575654 | + | 0.997062i | ||||
\(989\) | −11548.1 | − | 20002.0i | −0.371294 | − | 0.643099i | ||||
\(990\) | −311.880 | + | 1768.76i | −0.0100123 | + | 0.0567826i | ||||
\(991\) | −25387.3 | − | 14657.4i | −0.813778 | − | 0.469835i | 0.0344884 | − | 0.999405i | \(-0.489020\pi\) |
−0.848266 | + | 0.529570i | \(0.822353\pi\) | |||||||
\(992\) | 5102.48 | + | 1857.15i | 0.163310 | + | 0.0594401i | ||||
\(993\) | − | 31678.5i | − | 1.01237i | ||||||
\(994\) | 7428.45 | − | 20409.5i | 0.237038 | − | 0.651257i | ||||
\(995\) | −3155.39 | − | 17895.1i | −0.100535 | − | 0.570164i | ||||
\(996\) | 34460.2 | − | 28915.5i | 1.09630 | − | 0.919904i | ||||
\(997\) | 10959.3 | − | 13060.8i | 0.348130 | − | 0.414886i | −0.563357 | − | 0.826214i | \(-0.690490\pi\) |
0.911487 | + | 0.411328i | \(0.134935\pi\) | |||||||
\(998\) | 18495.8 | 0.586647 | ||||||||
\(999\) | 4252.28 | − | 33707.8i | 0.134671 | − | 1.06753i |
(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 | 37.4.h.a.3.4 | ✓ | 48 | |
37.5 | odd | 36 | 1369.4.a.j.1.30 | 48 | |||
37.25 | even | 18 | inner | 37.4.h.a.25.4 | yes | 48 | |
37.32 | odd | 36 | 1369.4.a.j.1.19 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
37.4.h.a.3.4 | ✓ | 48 | 1.1 | even | 1 | trivial | |
37.4.h.a.25.4 | yes | 48 | 37.25 | even | 18 | inner | |
1369.4.a.j.1.19 | 48 | 37.32 | odd | 36 | |||
1369.4.a.j.1.30 | 48 | 37.5 | odd | 36 |