Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,4,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (of order \(11\), degree \(10\), 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: | \(13.5704393013\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 81.1 | ||
Character | \(\chi\) | \(=\) | 230.81 |
Dual form | 230.4.g.b.71.1 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{10}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.68251 | + | 1.08128i | −0.594856 | + | 0.382291i | ||||
\(3\) | −1.10005 | + | 7.65101i | −0.211705 | + | 1.47244i | 0.555758 | + | 0.831344i | \(0.312428\pi\) |
−0.767463 | + | 0.641093i | \(0.778481\pi\) | |||||||
\(4\) | 1.66166 | − | 3.63853i | 0.207708 | − | 0.454816i | ||||
\(5\) | −4.79746 | + | 1.40866i | −0.429098 | + | 0.125995i | ||||
\(6\) | −6.42205 | − | 14.0623i | −0.436965 | − | 0.956821i | ||||
\(7\) | −11.9276 | − | 13.7651i | −0.644027 | − | 0.743247i | 0.336054 | − | 0.941843i | \(-0.390907\pi\) |
−0.980082 | + | 0.198595i | \(0.936362\pi\) | |||||||
\(8\) | 1.13852 | + | 7.91857i | 0.0503159 | + | 0.349955i | ||||
\(9\) | −31.4215 | − | 9.22619i | −1.16376 | − | 0.341711i | ||||
\(10\) | 6.54861 | − | 7.55750i | 0.207085 | − | 0.238989i | ||||
\(11\) | 10.1501 | + | 6.52307i | 0.278215 | + | 0.178798i | 0.672306 | − | 0.740273i | \(-0.265304\pi\) |
−0.394090 | + | 0.919072i | \(0.628940\pi\) | |||||||
\(12\) | 26.0105 | + | 16.7159i | 0.625715 | + | 0.402123i | ||||
\(13\) | 59.7776 | − | 68.9870i | 1.27533 | − | 1.47181i | 0.465621 | − | 0.884984i | \(-0.345831\pi\) |
0.809712 | − | 0.586828i | \(-0.199623\pi\) | |||||||
\(14\) | 34.9522 | + | 10.2629i | 0.667240 | + | 0.195919i | ||||
\(15\) | −5.50024 | − | 38.2550i | −0.0946771 | − | 0.658494i | ||||
\(16\) | −10.4778 | − | 12.0920i | −0.163715 | − | 0.188937i | ||||
\(17\) | −23.5175 | − | 51.4961i | −0.335519 | − | 0.734684i | 0.664400 | − | 0.747377i | \(-0.268687\pi\) |
−0.999919 | + | 0.0126926i | \(0.995960\pi\) | |||||||
\(18\) | 62.8430 | − | 18.4524i | 0.822902 | − | 0.241626i | ||||
\(19\) | −18.4094 | + | 40.3109i | −0.222284 | + | 0.486735i | −0.987614 | − | 0.156904i | \(-0.949849\pi\) |
0.765329 | + | 0.643639i | \(0.222576\pi\) | |||||||
\(20\) | −2.84630 | + | 19.7964i | −0.0318226 | + | 0.221331i | ||||
\(21\) | 118.438 | − | 76.1155i | 1.23073 | − | 0.790941i | ||||
\(22\) | −24.1309 | −0.233851 | ||||||||
\(23\) | −80.7033 | − | 75.1930i | −0.731643 | − | 0.681688i | ||||
\(24\) | −61.8375 | −0.525938 | ||||||||
\(25\) | 21.0313 | − | 13.5160i | 0.168251 | − | 0.108128i | ||||
\(26\) | −25.9818 | + | 180.708i | −0.195979 | + | 1.36306i | ||||
\(27\) | 18.4571 | − | 40.4154i | 0.131558 | − | 0.288072i | ||||
\(28\) | −69.9044 | + | 20.5258i | −0.471810 | + | 0.138536i | ||||
\(29\) | 109.743 | + | 240.303i | 0.702715 | + | 1.53873i | 0.836649 | + | 0.547740i | \(0.184512\pi\) |
−0.133934 | + | 0.990990i | \(0.542761\pi\) | |||||||
\(30\) | 50.6187 | + | 58.4171i | 0.308055 | + | 0.355515i | ||||
\(31\) | −20.9445 | − | 145.672i | −0.121346 | − | 0.843983i | −0.956033 | − | 0.293258i | \(-0.905260\pi\) |
0.834687 | − | 0.550725i | \(-0.185649\pi\) | |||||||
\(32\) | 30.7038 | + | 9.01544i | 0.169616 | + | 0.0498038i | ||||
\(33\) | −61.0737 | + | 70.4828i | −0.322169 | + | 0.371802i | ||||
\(34\) | 95.2501 | + | 61.2135i | 0.480448 | + | 0.308766i | ||||
\(35\) | 76.6124 | + | 49.2358i | 0.369996 | + | 0.237782i | ||||
\(36\) | −85.7816 | + | 98.9973i | −0.397137 | + | 0.458321i | ||||
\(37\) | 184.817 | + | 54.2670i | 0.821180 | + | 0.241120i | 0.665224 | − | 0.746644i | \(-0.268336\pi\) |
0.155956 | + | 0.987764i | \(0.450154\pi\) | |||||||
\(38\) | −12.6136 | − | 87.7292i | −0.0538471 | − | 0.374515i | ||||
\(39\) | 462.062 | + | 533.248i | 1.89716 | + | 2.18944i | ||||
\(40\) | −16.6166 | − | 36.3853i | −0.0656829 | − | 0.143825i | ||||
\(41\) | 217.535 | − | 63.8741i | 0.828617 | − | 0.243304i | 0.160194 | − | 0.987086i | \(-0.448788\pi\) |
0.668423 | + | 0.743782i | \(0.266970\pi\) | |||||||
\(42\) | −116.971 | + | 256.130i | −0.429737 | + | 0.940992i | ||||
\(43\) | 55.5704 | − | 386.501i | 0.197079 | − | 1.37072i | −0.615624 | − | 0.788040i | \(-0.711096\pi\) |
0.812704 | − | 0.582677i | \(-0.197995\pi\) | |||||||
\(44\) | 40.6004 | − | 26.0923i | 0.139108 | − | 0.0893991i | ||||
\(45\) | 163.740 | 0.542421 | ||||||||
\(46\) | 217.089 | + | 39.2497i | 0.695825 | + | 0.125806i | ||||
\(47\) | −352.008 | −1.09246 | −0.546230 | − | 0.837635i | \(-0.683938\pi\) | ||||
−0.546230 | + | 0.837635i | \(0.683938\pi\) | |||||||
\(48\) | 104.042 | − | 66.8637i | 0.312858 | − | 0.201061i | ||||
\(49\) | 1.60170 | − | 11.1401i | 0.00466968 | − | 0.0324783i | ||||
\(50\) | −20.7708 | + | 45.4816i | −0.0587486 | + | 0.128641i | ||||
\(51\) | 419.867 | − | 123.284i | 1.15281 | − | 0.338495i | ||||
\(52\) | −151.681 | − | 332.135i | −0.404508 | − | 0.885748i | ||||
\(53\) | 101.767 | + | 117.446i | 0.263751 | + | 0.304385i | 0.872142 | − | 0.489252i | \(-0.162730\pi\) |
−0.608391 | + | 0.793637i | \(0.708185\pi\) | |||||||
\(54\) | 12.6462 | + | 87.9566i | 0.0318692 | + | 0.221655i | ||||
\(55\) | −57.8836 | − | 16.9961i | −0.141909 | − | 0.0416684i | ||||
\(56\) | 95.4204 | − | 110.121i | 0.227698 | − | 0.262778i | ||||
\(57\) | −288.168 | − | 185.194i | −0.669628 | − | 0.430344i | ||||
\(58\) | −444.478 | − | 285.649i | −1.00626 | − | 0.646682i | ||||
\(59\) | 51.7813 | − | 59.7588i | 0.114260 | − | 0.131863i | −0.695738 | − | 0.718296i | \(-0.744923\pi\) |
0.809998 | + | 0.586432i | \(0.199468\pi\) | |||||||
\(60\) | −148.332 | − | 43.5541i | −0.319159 | − | 0.0937135i | ||||
\(61\) | 48.2654 | + | 335.693i | 0.101307 | + | 0.704608i | 0.975655 | + | 0.219309i | \(0.0703803\pi\) |
−0.874348 | + | 0.485299i | \(0.838711\pi\) | |||||||
\(62\) | 192.752 | + | 222.447i | 0.394831 | + | 0.455659i | ||||
\(63\) | 247.782 | + | 542.567i | 0.495518 | + | 1.08503i | ||||
\(64\) | −61.4076 | + | 18.0309i | −0.119937 | + | 0.0352166i | ||||
\(65\) | −189.601 | + | 415.169i | −0.361803 | + | 0.792237i | ||||
\(66\) | 26.5452 | − | 184.626i | 0.0495073 | − | 0.344331i | ||||
\(67\) | 614.485 | − | 394.906i | 1.12047 | − | 0.720081i | 0.156918 | − | 0.987612i | \(-0.449844\pi\) |
0.963549 | + | 0.267531i | \(0.0862077\pi\) | |||||||
\(68\) | −226.448 | −0.403836 | ||||||||
\(69\) | 664.080 | − | 534.746i | 1.15863 | − | 0.932983i | ||||
\(70\) | −182.139 | −0.310996 | ||||||||
\(71\) | 383.505 | − | 246.464i | 0.641037 | − | 0.411970i | −0.179344 | − | 0.983786i | \(-0.557398\pi\) |
0.820381 | + | 0.571817i | \(0.193761\pi\) | |||||||
\(72\) | 37.2843 | − | 259.318i | 0.0610277 | − | 0.424457i | ||||
\(73\) | 443.319 | − | 970.733i | 0.710775 | − | 1.55638i | −0.115624 | − | 0.993293i | \(-0.536887\pi\) |
0.826398 | − | 0.563086i | \(-0.190386\pi\) | |||||||
\(74\) | −369.633 | + | 108.534i | −0.580662 | + | 0.170498i | ||||
\(75\) | 80.2757 | + | 175.779i | 0.123593 | + | 0.270630i | ||||
\(76\) | 116.082 | + | 133.966i | 0.175205 | + | 0.202197i | ||||
\(77\) | −31.2749 | − | 217.522i | −0.0462871 | − | 0.321934i | ||||
\(78\) | −1354.01 | − | 397.574i | −1.96554 | − | 0.577134i | ||||
\(79\) | −696.572 | + | 803.887i | −0.992031 | + | 1.14486i | −0.00257996 | + | 0.999997i | \(0.500821\pi\) |
−0.989451 | + | 0.144868i | \(0.953724\pi\) | |||||||
\(80\) | 67.3003 | + | 43.2513i | 0.0940550 | + | 0.0604455i | ||||
\(81\) | −454.919 | − | 292.359i | −0.624031 | − | 0.401041i | ||||
\(82\) | −296.939 | + | 342.685i | −0.399895 | + | 0.461503i | ||||
\(83\) | 220.183 | + | 64.6516i | 0.291184 | + | 0.0854992i | 0.424062 | − | 0.905633i | \(-0.360604\pi\) |
−0.132878 | + | 0.991132i | \(0.542422\pi\) | |||||||
\(84\) | −80.1446 | − | 557.418i | −0.104101 | − | 0.724039i | ||||
\(85\) | 185.365 | + | 213.922i | 0.236537 | + | 0.272978i | ||||
\(86\) | 324.419 | + | 710.378i | 0.406779 | + | 0.890721i | ||||
\(87\) | −1959.28 | + | 575.298i | −2.41445 | + | 0.708947i | ||||
\(88\) | −40.0973 | + | 87.8009i | −0.0485726 | + | 0.106359i | ||||
\(89\) | 182.199 | − | 1267.22i | 0.217001 | − | 1.50928i | −0.532021 | − | 0.846731i | \(-0.678567\pi\) |
0.749022 | − | 0.662545i | \(-0.230524\pi\) | |||||||
\(90\) | −275.494 | + | 177.049i | −0.322662 | + | 0.207363i | ||||
\(91\) | −1662.62 | −1.91527 | ||||||||
\(92\) | −407.693 | + | 168.696i | −0.462010 | + | 0.191171i | ||||
\(93\) | 1137.58 | 1.26840 | ||||||||
\(94\) | 592.256 | − | 380.620i | 0.649857 | − | 0.417638i | ||||
\(95\) | 31.5339 | − | 219.323i | 0.0340559 | − | 0.236864i | ||||
\(96\) | −102.753 | + | 224.997i | −0.109241 | + | 0.239205i | ||||
\(97\) | −640.582 | + | 188.092i | −0.670528 | + | 0.196885i | −0.599238 | − | 0.800571i | \(-0.704530\pi\) |
−0.0712899 | + | 0.997456i | \(0.522712\pi\) | |||||||
\(98\) | 9.35068 | + | 20.4751i | 0.00963838 | + | 0.0211051i | ||||
\(99\) | −258.748 | − | 298.612i | −0.262679 | − | 0.303147i | ||||
\(100\) | −14.2315 | − | 98.9821i | −0.0142315 | − | 0.0989821i | ||||
\(101\) | 788.201 | + | 231.437i | 0.776524 | + | 0.228008i | 0.645898 | − | 0.763424i | \(-0.276483\pi\) |
0.130626 | + | 0.991432i | \(0.458301\pi\) | |||||||
\(102\) | −573.125 | + | 661.421i | −0.556351 | + | 0.642063i | ||||
\(103\) | −746.722 | − | 479.889i | −0.714337 | − | 0.459077i | 0.132326 | − | 0.991206i | \(-0.457756\pi\) |
−0.846663 | + | 0.532130i | \(0.821392\pi\) | |||||||
\(104\) | 614.337 | + | 394.810i | 0.579237 | + | 0.372253i | ||||
\(105\) | −460.981 | + | 532.001i | −0.428449 | + | 0.494457i | ||||
\(106\) | −298.216 | − | 87.5640i | −0.273257 | − | 0.0802356i | ||||
\(107\) | −189.786 | − | 1319.99i | −0.171471 | − | 1.19260i | −0.875780 | − | 0.482710i | \(-0.839652\pi\) |
0.704309 | − | 0.709893i | \(-0.251257\pi\) | |||||||
\(108\) | −116.383 | − | 134.313i | −0.103694 | − | 0.119670i | ||||
\(109\) | −243.339 | − | 532.837i | −0.213831 | − | 0.468225i | 0.772073 | − | 0.635533i | \(-0.219220\pi\) |
−0.985905 | + | 0.167308i | \(0.946492\pi\) | |||||||
\(110\) | 115.767 | − | 33.9923i | 0.100345 | − | 0.0294640i | ||||
\(111\) | −618.505 | + | 1354.34i | −0.528882 | + | 1.15809i | ||||
\(112\) | −41.4737 | + | 288.456i | −0.0349901 | + | 0.243362i | ||||
\(113\) | 1191.86 | − | 765.961i | 0.992218 | − | 0.637659i | 0.0594853 | − | 0.998229i | \(-0.481054\pi\) |
0.932732 | + | 0.360570i | \(0.117418\pi\) | |||||||
\(114\) | 685.092 | 0.562849 | ||||||||
\(115\) | 493.093 | + | 247.052i | 0.399836 | + | 0.200328i | ||||
\(116\) | 1056.71 | 0.845798 | ||||||||
\(117\) | −2514.79 | + | 1616.16i | −1.98711 | + | 1.27704i | ||||
\(118\) | −22.5063 | + | 156.535i | −0.0175582 | + | 0.122120i | ||||
\(119\) | −428.344 | + | 937.943i | −0.329969 | + | 0.722530i | ||||
\(120\) | 296.663 | − | 87.1082i | 0.225679 | − | 0.0662654i | ||||
\(121\) | −492.443 | − | 1078.30i | −0.369980 | − | 0.810143i | ||||
\(122\) | −444.186 | − | 512.618i | −0.329629 | − | 0.380412i | ||||
\(123\) | 249.402 | + | 1734.63i | 0.182828 | + | 1.27159i | ||||
\(124\) | −564.834 | − | 165.850i | −0.409061 | − | 0.120111i | ||||
\(125\) | −81.8576 | + | 94.4687i | −0.0585725 | + | 0.0675963i | ||||
\(126\) | −1003.56 | − | 644.951i | −0.709559 | − | 0.456006i | ||||
\(127\) | −790.842 | − | 508.243i | −0.552566 | − | 0.355113i | 0.234370 | − | 0.972148i | \(-0.424697\pi\) |
−0.786936 | + | 0.617035i | \(0.788334\pi\) | |||||||
\(128\) | 83.8222 | − | 96.7359i | 0.0578821 | − | 0.0667995i | ||||
\(129\) | 2895.99 | + | 850.340i | 1.97657 | + | 0.580374i | ||||
\(130\) | −129.909 | − | 903.538i | −0.0876445 | − | 0.609581i | ||||
\(131\) | 30.6720 | + | 35.3974i | 0.0204567 | + | 0.0236083i | 0.765886 | − | 0.642977i | \(-0.222301\pi\) |
−0.745429 | + | 0.666585i | \(0.767755\pi\) | |||||||
\(132\) | 154.970 | + | 339.337i | 0.102185 | + | 0.223754i | ||||
\(133\) | 774.465 | − | 227.403i | 0.504922 | − | 0.148258i | ||||
\(134\) | −606.872 | + | 1328.86i | −0.391237 | + | 0.856689i | ||||
\(135\) | −31.6156 | + | 219.891i | −0.0201558 | + | 0.140187i | ||||
\(136\) | 381.000 | − | 244.854i | 0.240224 | − | 0.154383i | ||||
\(137\) | −1237.65 | −0.771825 | −0.385912 | − | 0.922535i | \(-0.626113\pi\) | ||||
−0.385912 | + | 0.922535i | \(0.626113\pi\) | |||||||
\(138\) | −539.108 | + | 1617.77i | −0.332550 | + | 0.997926i | ||||
\(139\) | −659.993 | −0.402733 | −0.201366 | − | 0.979516i | \(-0.564538\pi\) | ||||
−0.201366 | + | 0.979516i | \(0.564538\pi\) | |||||||
\(140\) | 306.450 | − | 196.943i | 0.184998 | − | 0.118891i | ||||
\(141\) | 387.226 | − | 2693.22i | 0.231279 | − | 1.60858i | ||||
\(142\) | −378.753 | + | 829.353i | −0.223833 | + | 0.490125i | ||||
\(143\) | 1056.76 | − | 310.292i | 0.617975 | − | 0.181454i | ||||
\(144\) | 217.664 | + | 476.619i | 0.125963 | + | 0.275821i | ||||
\(145\) | −864.993 | − | 998.255i | −0.495405 | − | 0.571728i | ||||
\(146\) | 303.749 | + | 2112.62i | 0.172181 | + | 1.19754i | ||||
\(147\) | 83.4708 | + | 24.5092i | 0.0468337 | + | 0.0137516i | ||||
\(148\) | 504.555 | − | 582.287i | 0.280231 | − | 0.323403i | ||||
\(149\) | −1166.13 | − | 749.424i | −0.641160 | − | 0.412048i | 0.179267 | − | 0.983801i | \(-0.442627\pi\) |
−0.820426 | + | 0.571752i | \(0.806264\pi\) | |||||||
\(150\) | −325.131 | − | 208.949i | −0.176979 | − | 0.113738i | ||||
\(151\) | 1282.64 | − | 1480.25i | 0.691257 | − | 0.797753i | −0.296287 | − | 0.955099i | \(-0.595748\pi\) |
0.987544 | + | 0.157346i | \(0.0502938\pi\) | |||||||
\(152\) | −340.165 | − | 99.8813i | −0.181520 | − | 0.0532990i | ||||
\(153\) | 263.842 | + | 1835.06i | 0.139414 | + | 0.969646i | ||||
\(154\) | 287.823 | + | 332.165i | 0.150606 | + | 0.173809i | ||||
\(155\) | 305.683 | + | 669.353i | 0.158407 | + | 0.346863i | ||||
\(156\) | 2708.03 | − | 795.149i | 1.38984 | − | 0.408095i | ||||
\(157\) | 445.525 | − | 975.563i | 0.226476 | − | 0.495914i | −0.761946 | − | 0.647640i | \(-0.775756\pi\) |
0.988423 | + | 0.151727i | \(0.0484833\pi\) | |||||||
\(158\) | 302.759 | − | 2105.74i | 0.152444 | − | 1.06027i | ||||
\(159\) | −1010.53 | + | 649.426i | −0.504025 | + | 0.323917i | ||||
\(160\) | −160.000 | −0.0790569 | ||||||||
\(161\) | −72.4483 | + | 2007.76i | −0.0354641 | + | 0.982817i | ||||
\(162\) | 1081.53 | 0.524523 | ||||||||
\(163\) | −2545.48 | + | 1635.88i | −1.22318 | + | 0.786087i | −0.982814 | − | 0.184597i | \(-0.940902\pi\) |
−0.240361 | + | 0.970684i | \(0.577266\pi\) | |||||||
\(164\) | 129.062 | − | 897.645i | 0.0614515 | − | 0.427404i | ||||
\(165\) | 193.712 | − | 424.171i | 0.0913969 | − | 0.200131i | ||||
\(166\) | −440.366 | + | 129.303i | −0.205898 | + | 0.0604571i | ||||
\(167\) | 314.119 | + | 687.826i | 0.145553 | + | 0.318716i | 0.968341 | − | 0.249633i | \(-0.0803098\pi\) |
−0.822788 | + | 0.568348i | \(0.807583\pi\) | |||||||
\(168\) | 737.570 | + | 851.201i | 0.338719 | + | 0.390902i | ||||
\(169\) | −873.183 | − | 6073.12i | −0.397443 | − | 2.76428i | ||||
\(170\) | −543.188 | − | 159.494i | −0.245062 | − | 0.0719568i | ||||
\(171\) | 950.367 | − | 1096.78i | 0.425008 | − | 0.490486i | ||||
\(172\) | −1313.95 | − | 844.428i | −0.582489 | − | 0.374343i | ||||
\(173\) | 2596.04 | + | 1668.37i | 1.14089 | + | 0.733203i | 0.967804 | − | 0.251704i | \(-0.0809911\pi\) |
0.173082 | + | 0.984907i | \(0.444627\pi\) | |||||||
\(174\) | 2674.45 | − | 3086.48i | 1.16523 | − | 1.34474i | ||||
\(175\) | −436.902 | − | 128.286i | −0.188724 | − | 0.0554144i | ||||
\(176\) | −27.4735 | − | 191.082i | −0.0117664 | − | 0.0818373i | ||||
\(177\) | 400.253 | + | 461.917i | 0.169971 | + | 0.196157i | ||||
\(178\) | 1063.68 | + | 2329.12i | 0.447898 | + | 0.980759i | ||||
\(179\) | 2790.49 | − | 819.362i | 1.16520 | − | 0.342134i | 0.358750 | − | 0.933434i | \(-0.383203\pi\) |
0.806452 | + | 0.591300i | \(0.201385\pi\) | |||||||
\(180\) | 272.081 | − | 595.773i | 0.112665 | − | 0.246702i | ||||
\(181\) | 481.054 | − | 3345.80i | 0.197549 | − | 1.37399i | −0.613817 | − | 0.789449i | \(-0.710367\pi\) |
0.811366 | − | 0.584538i | \(-0.198724\pi\) | |||||||
\(182\) | 2797.36 | − | 1797.76i | 1.13931 | − | 0.732190i | ||||
\(183\) | −2621.49 | −1.05894 | ||||||||
\(184\) | 503.539 | − | 724.663i | 0.201747 | − | 0.290342i | ||||
\(185\) | −963.095 | −0.382747 | ||||||||
\(186\) | −1913.98 | + | 1230.04i | −0.754516 | + | 0.484898i | ||||
\(187\) | 97.2080 | − | 676.096i | 0.0380136 | − | 0.264391i | ||||
\(188\) | −584.918 | + | 1280.79i | −0.226912 | + | 0.496869i | ||||
\(189\) | −776.472 | + | 227.993i | −0.298836 | + | 0.0877462i | ||||
\(190\) | 184.094 | + | 403.109i | 0.0702925 | + | 0.153919i | ||||
\(191\) | 2127.91 | + | 2455.74i | 0.806127 | + | 0.930320i | 0.998701 | − | 0.0509626i | \(-0.0162289\pi\) |
−0.192574 | + | 0.981282i | \(0.561683\pi\) | |||||||
\(192\) | −70.4031 | − | 489.665i | −0.0264631 | − | 0.184055i | ||||
\(193\) | 3924.00 | + | 1152.19i | 1.46350 | + | 0.429723i | 0.913981 | − | 0.405758i | \(-0.132992\pi\) |
0.549520 | + | 0.835480i | \(0.314810\pi\) | |||||||
\(194\) | 874.403 | − | 1009.11i | 0.323600 | − | 0.373455i | ||||
\(195\) | −2967.89 | − | 1907.35i | −1.08992 | − | 0.700452i | ||||
\(196\) | −37.8720 | − | 24.3388i | −0.0138017 | − | 0.00886984i | ||||
\(197\) | −718.860 | + | 829.609i | −0.259983 | + | 0.300037i | −0.870702 | − | 0.491811i | \(-0.836335\pi\) |
0.610719 | + | 0.791848i | \(0.290881\pi\) | |||||||
\(198\) | 758.229 | + | 222.636i | 0.272146 | + | 0.0799094i | ||||
\(199\) | 294.459 | + | 2048.01i | 0.104893 | + | 0.729544i | 0.972603 | + | 0.232474i | \(0.0746819\pi\) |
−0.867710 | + | 0.497071i | \(0.834409\pi\) | |||||||
\(200\) | 130.972 | + | 151.150i | 0.0463056 | + | 0.0534396i | ||||
\(201\) | 2345.46 | + | 5135.85i | 0.823066 | + | 1.80226i | ||||
\(202\) | −1576.40 | + | 462.874i | −0.549086 | + | 0.161226i | ||||
\(203\) | 1998.84 | − | 4376.85i | 0.691090 | − | 1.51328i | ||||
\(204\) | 249.104 | − | 1732.55i | 0.0854939 | − | 0.594623i | ||||
\(205\) | −953.640 | + | 612.868i | −0.324903 | + | 0.208803i | ||||
\(206\) | 1775.26 | 0.600429 | ||||||||
\(207\) | 1842.07 | + | 3107.26i | 0.618517 | + | 1.04333i | ||||
\(208\) | −1460.53 | −0.486872 | ||||||||
\(209\) | −449.808 | + | 289.074i | −0.148870 | + | 0.0956731i | ||||
\(210\) | 200.362 | − | 1393.55i | 0.0658393 | − | 0.457923i | ||||
\(211\) | −2160.65 | + | 4731.15i | −0.704953 | + | 1.54363i | 0.128908 | + | 0.991657i | \(0.458853\pi\) |
−0.833861 | + | 0.551974i | \(0.813875\pi\) | |||||||
\(212\) | 596.431 | − | 175.128i | 0.193222 | − | 0.0567351i | ||||
\(213\) | 1463.82 | + | 3205.32i | 0.470889 | + | 1.03110i | ||||
\(214\) | 1746.60 | + | 2015.69i | 0.557922 | + | 0.643876i | ||||
\(215\) | 277.852 | + | 1932.50i | 0.0881366 | + | 0.613003i | ||||
\(216\) | 341.046 | + | 100.140i | 0.107432 | + | 0.0315448i | ||||
\(217\) | −1755.38 | + | 2025.81i | −0.549138 | + | 0.633738i | ||||
\(218\) | 985.566 | + | 633.385i | 0.306197 | + | 0.196781i | ||||
\(219\) | 6939.41 | + | 4459.69i | 2.14120 | + | 1.37606i | ||||
\(220\) | −158.024 | + | 182.369i | −0.0484271 | + | 0.0558878i | ||||
\(221\) | −4958.38 | − | 1455.91i | −1.50922 | − | 0.443146i | ||||
\(222\) | −423.781 | − | 2947.46i | −0.128118 | − | 0.891083i | ||||
\(223\) | 1904.93 | + | 2198.41i | 0.572035 | + | 0.660163i | 0.965873 | − | 0.259017i | \(-0.0833984\pi\) |
−0.393838 | + | 0.919180i | \(0.628853\pi\) | |||||||
\(224\) | −242.122 | − | 530.174i | −0.0722208 | − | 0.158142i | ||||
\(225\) | −785.538 | + | 230.655i | −0.232752 | + | 0.0683421i | ||||
\(226\) | −1177.09 | + | 2577.47i | −0.346455 | + | 0.758631i | ||||
\(227\) | −251.464 | + | 1748.97i | −0.0735254 | + | 0.511380i | 0.919464 | + | 0.393175i | \(0.128623\pi\) |
−0.992989 | + | 0.118205i | \(0.962286\pi\) | |||||||
\(228\) | −1152.67 | + | 740.778i | −0.334814 | + | 0.215172i | ||||
\(229\) | −2372.28 | −0.684562 | −0.342281 | − | 0.939598i | \(-0.611200\pi\) | ||||
−0.342281 | + | 0.939598i | \(0.611200\pi\) | |||||||
\(230\) | −1096.76 | + | 117.506i | −0.314428 | + | 0.0336873i | ||||
\(231\) | 1698.66 | 0.483827 | ||||||||
\(232\) | −1777.91 | + | 1142.60i | −0.503128 | + | 0.323341i | ||||
\(233\) | −71.7939 | + | 499.337i | −0.0201861 | + | 0.140398i | −0.997422 | − | 0.0717576i | \(-0.977139\pi\) |
0.977236 | + | 0.212155i | \(0.0680483\pi\) | |||||||
\(234\) | 2483.63 | − | 5438.39i | 0.693846 | − | 1.51931i | ||||
\(235\) | 1688.75 | − | 495.861i | 0.468773 | − | 0.137644i | ||||
\(236\) | −131.391 | − | 287.706i | −0.0362408 | − | 0.0793563i | ||||
\(237\) | −5384.28 | − | 6213.79i | −1.47572 | − | 1.70308i | ||||
\(238\) | −293.488 | − | 2041.26i | −0.0799329 | − | 0.555945i | ||||
\(239\) | −1841.47 | − | 540.703i | −0.498387 | − | 0.146340i | 0.0228716 | − | 0.999738i | \(-0.492719\pi\) |
−0.521259 | + | 0.853399i | \(0.674537\pi\) | |||||||
\(240\) | −404.949 | + | 467.337i | −0.108914 | + | 0.125694i | ||||
\(241\) | −632.537 | − | 406.507i | −0.169068 | − | 0.108653i | 0.453371 | − | 0.891322i | \(-0.350221\pi\) |
−0.622438 | + | 0.782669i | \(0.713858\pi\) | |||||||
\(242\) | 1994.49 | + | 1281.78i | 0.529795 | + | 0.340479i | ||||
\(243\) | 3522.86 | − | 4065.59i | 0.930006 | − | 1.07328i | ||||
\(244\) | 1301.63 | + | 382.193i | 0.341509 | + | 0.100276i | ||||
\(245\) | 8.00850 | + | 55.7003i | 0.00208834 | + | 0.0145247i | ||||
\(246\) | −2295.24 | − | 2648.85i | −0.594875 | − | 0.686523i | ||||
\(247\) | 1680.46 | + | 3679.70i | 0.432896 | + | 0.947910i | ||||
\(248\) | 1129.67 | − | 331.701i | 0.289250 | − | 0.0849315i | ||||
\(249\) | −736.862 | + | 1613.50i | −0.187537 | + | 0.410649i | ||||
\(250\) | 35.5787 | − | 247.455i | 0.00900078 | − | 0.0626018i | ||||
\(251\) | 621.240 | − | 399.247i | 0.156224 | − | 0.100399i | −0.460193 | − | 0.887819i | \(-0.652220\pi\) |
0.616417 | + | 0.787420i | \(0.288583\pi\) | |||||||
\(252\) | 2385.88 | 0.596413 | ||||||||
\(253\) | −328.657 | − | 1289.65i | −0.0816699 | − | 0.320473i | ||||
\(254\) | 1880.15 | 0.464454 | ||||||||
\(255\) | −1840.63 | + | 1182.90i | −0.452019 | + | 0.290495i | ||||
\(256\) | −36.4326 | + | 253.394i | −0.00889468 | + | 0.0618638i | ||||
\(257\) | −1604.10 | + | 3512.50i | −0.389343 | + | 0.852543i | 0.608897 | + | 0.793249i | \(0.291612\pi\) |
−0.998241 | + | 0.0592938i | \(0.981115\pi\) | |||||||
\(258\) | −5791.98 | + | 1700.68i | −1.39765 | + | 0.410386i | ||||
\(259\) | −1457.42 | − | 3191.30i | −0.349650 | − | 0.765628i | ||||
\(260\) | 1195.55 | + | 1379.74i | 0.285173 | + | 0.329107i | ||||
\(261\) | −1231.20 | − | 8563.20i | −0.291990 | − | 2.03084i | ||||
\(262\) | −89.8805 | − | 26.3913i | −0.0211940 | − | 0.00622313i | ||||
\(263\) | −685.636 | + | 791.266i | −0.160753 | + | 0.185519i | −0.830412 | − | 0.557150i | \(-0.811895\pi\) |
0.669659 | + | 0.742669i | \(0.266440\pi\) | |||||||
\(264\) | −627.657 | − | 403.370i | −0.146324 | − | 0.0940369i | ||||
\(265\) | −653.666 | − | 420.085i | −0.151526 | − | 0.0973798i | ||||
\(266\) | −1057.16 | + | 1220.02i | −0.243678 | + | 0.281219i | ||||
\(267\) | 9495.12 | + | 2788.02i | 2.17637 | + | 0.639041i | ||||
\(268\) | −415.810 | − | 2892.02i | −0.0947747 | − | 0.659173i | ||||
\(269\) | 4376.85 | + | 5051.16i | 0.992050 | + | 1.14489i | 0.989448 | + | 0.144890i | \(0.0462830\pi\) |
0.00260256 | + | 0.999997i | \(0.499172\pi\) | |||||||
\(270\) | −184.571 | − | 404.154i | −0.0416024 | − | 0.0910965i | ||||
\(271\) | 433.665 | − | 127.336i | 0.0972078 | − | 0.0285428i | −0.232767 | − | 0.972533i | \(-0.574778\pi\) |
0.329975 | + | 0.943990i | \(0.392960\pi\) | |||||||
\(272\) | −376.279 | + | 823.937i | −0.0838798 | + | 0.183671i | ||||
\(273\) | 1828.96 | − | 12720.7i | 0.405471 | − | 2.82011i | ||||
\(274\) | 2082.36 | − | 1338.25i | 0.459125 | − | 0.295061i | ||||
\(275\) | 301.636 | 0.0661431 | ||||||||
\(276\) | −842.212 | − | 3304.84i | −0.183678 | − | 0.720753i | ||||
\(277\) | −6398.45 | −1.38789 | −0.693945 | − | 0.720028i | \(-0.744129\pi\) | ||||
−0.693945 | + | 0.720028i | \(0.744129\pi\) | |||||||
\(278\) | 1110.44 | − | 713.638i | 0.239568 | − | 0.153961i | ||||
\(279\) | −685.890 | + | 4770.47i | −0.147180 | + | 1.02366i | ||||
\(280\) | −302.653 | + | 662.717i | −0.0645963 | + | 0.141446i | ||||
\(281\) | −5801.01 | + | 1703.33i | −1.23153 | + | 0.361609i | −0.831826 | − | 0.555037i | \(-0.812704\pi\) |
−0.399701 | + | 0.916646i | \(0.630886\pi\) | |||||||
\(282\) | 2260.62 | + | 4950.06i | 0.477368 | + | 1.04529i | ||||
\(283\) | −2331.55 | − | 2690.75i | −0.489739 | − | 0.565189i | 0.456057 | − | 0.889951i | \(-0.349261\pi\) |
−0.945796 | + | 0.324761i | \(0.894716\pi\) | |||||||
\(284\) | −259.510 | − | 1804.93i | −0.0542221 | − | 0.377123i | ||||
\(285\) | 1643.35 | + | 482.532i | 0.341557 | + | 0.100290i | ||||
\(286\) | −1442.49 | + | 1664.72i | −0.298238 | + | 0.344185i | ||||
\(287\) | −3473.90 | − | 2232.54i | −0.714487 | − | 0.459173i | ||||
\(288\) | −881.581 | − | 566.558i | −0.180374 | − | 0.115919i | ||||
\(289\) | 1118.56 | − | 1290.88i | 0.227673 | − | 0.262749i | ||||
\(290\) | 2534.75 | + | 744.271i | 0.513261 | + | 0.150707i | ||||
\(291\) | −734.420 | − | 5108.01i | −0.147947 | − | 1.02899i | ||||
\(292\) | −2795.39 | − | 3226.06i | −0.560233 | − | 0.646543i | ||||
\(293\) | −3564.50 | − | 7805.16i | −0.710717 | − | 1.55625i | −0.826473 | − | 0.562976i | \(-0.809656\pi\) |
0.115756 | − | 0.993278i | \(-0.463071\pi\) | |||||||
\(294\) | −166.942 | + | 49.0185i | −0.0331164 | + | 0.00972386i | ||||
\(295\) | −164.239 | + | 359.633i | −0.0324148 | + | 0.0709785i | ||||
\(296\) | −219.300 | + | 1525.27i | −0.0430627 | + | 0.299508i | ||||
\(297\) | 450.974 | − | 289.824i | 0.0881083 | − | 0.0566238i | ||||
\(298\) | 2772.35 | 0.538920 | ||||||||
\(299\) | −10011.6 | + | 1072.62i | −1.93640 | + | 0.207463i | ||||
\(300\) | 772.969 | 0.148758 | ||||||||
\(301\) | −5983.05 | + | 3845.08i | −1.14571 | + | 0.736301i | ||||
\(302\) | −557.489 | + | 3877.42i | −0.106225 | + | 0.738809i | ||||
\(303\) | −2637.78 | + | 5775.94i | −0.500121 | + | 1.09511i | ||||
\(304\) | 680.329 | − | 199.763i | 0.128354 | − | 0.0376881i | ||||
\(305\) | −704.430 | − | 1542.49i | −0.132248 | − | 0.289582i | ||||
\(306\) | −2428.13 | − | 2802.22i | −0.453618 | − | 0.523503i | ||||
\(307\) | −551.581 | − | 3836.33i | −0.102542 | − | 0.713195i | −0.974626 | − | 0.223839i | \(-0.928141\pi\) |
0.872084 | − | 0.489356i | \(-0.162768\pi\) | |||||||
\(308\) | −843.427 | − | 247.653i | −0.156035 | − | 0.0458160i | ||||
\(309\) | 4493.07 | − | 5185.28i | 0.827190 | − | 0.954628i | ||||
\(310\) | −1238.07 | − | 795.661i | −0.226832 | − | 0.145776i | ||||
\(311\) | 396.419 | + | 254.763i | 0.0722793 | + | 0.0464511i | 0.576281 | − | 0.817251i | \(-0.304503\pi\) |
−0.504002 | + | 0.863702i | \(0.668140\pi\) | |||||||
\(312\) | −3696.50 | + | 4265.98i | −0.670746 | + | 0.774083i | ||||
\(313\) | −5244.49 | − | 1539.92i | −0.947079 | − | 0.278088i | −0.228509 | − | 0.973542i | \(-0.573385\pi\) |
−0.718570 | + | 0.695454i | \(0.755203\pi\) | |||||||
\(314\) | 305.260 | + | 2123.13i | 0.0548625 | + | 0.381577i | ||||
\(315\) | −1953.02 | − | 2253.91i | −0.349334 | − | 0.403153i | ||||
\(316\) | 1767.50 | + | 3870.28i | 0.314651 | + | 0.688989i | ||||
\(317\) | −158.048 | + | 46.4071i | −0.0280027 | + | 0.00822234i | −0.295704 | − | 0.955280i | \(-0.595554\pi\) |
0.267701 | + | 0.963502i | \(0.413736\pi\) | |||||||
\(318\) | 998.005 | − | 2185.33i | 0.175992 | − | 0.385368i | ||||
\(319\) | −453.615 | + | 3154.96i | −0.0796162 | + | 0.553743i | ||||
\(320\) | 269.201 | − | 173.005i | 0.0470275 | − | 0.0302227i | ||||
\(321\) | 10308.1 | 1.79233 | ||||||||
\(322\) | −2049.06 | − | 3456.41i | −0.354626 | − | 0.598192i | ||||
\(323\) | 2508.80 | 0.432177 | ||||||||
\(324\) | −1819.68 | + | 1169.43i | −0.312016 | + | 0.200520i | ||||
\(325\) | 324.773 | − | 2258.84i | 0.0554312 | − | 0.385533i | ||||
\(326\) | 2513.94 | − | 5504.77i | 0.427099 | − | 0.935217i | ||||
\(327\) | 4344.43 | − | 1275.64i | 0.734701 | − | 0.215728i | ||||
\(328\) | 753.460 | + | 1649.85i | 0.126838 | + | 0.277736i | ||||
\(329\) | 4198.60 | + | 4845.44i | 0.703575 | + | 0.811969i | ||||
\(330\) | 132.726 | + | 923.128i | 0.0221403 | + | 0.153990i | ||||
\(331\) | 5427.42 | + | 1593.63i | 0.901262 | + | 0.264634i | 0.699359 | − | 0.714771i | \(-0.253469\pi\) |
0.201904 | + | 0.979405i | \(0.435287\pi\) | |||||||
\(332\) | 601.106 | − | 693.714i | 0.0993674 | − | 0.114676i | ||||
\(333\) | −5306.54 | − | 3410.31i | −0.873263 | − | 0.561212i | ||||
\(334\) | −1272.24 | − | 817.620i | −0.208425 | − | 0.133947i | ||||
\(335\) | −2391.68 | + | 2760.15i | −0.390064 | + | 0.450158i | ||||
\(336\) | −2161.35 | − | 634.631i | −0.350927 | − | 0.103042i | ||||
\(337\) | −1342.70 | − | 9338.68i | −0.217037 | − | 1.50953i | −0.748893 | − | 0.662691i | \(-0.769414\pi\) |
0.531856 | − | 0.846835i | \(-0.321495\pi\) | |||||||
\(338\) | 8035.89 | + | 9273.91i | 1.29318 | + | 1.49241i | ||||
\(339\) | 4549.27 | + | 9961.51i | 0.728857 | + | 1.59597i | ||||
\(340\) | 1086.38 | − | 318.989i | 0.173285 | − | 0.0508812i | ||||
\(341\) | 737.641 | − | 1615.21i | 0.117142 | − | 0.256506i | ||||
\(342\) | −413.069 | + | 2872.96i | −0.0653106 | + | 0.454245i | ||||
\(343\) | −5428.06 | + | 3488.40i | −0.854484 | + | 0.549143i | ||||
\(344\) | 3123.80 | 0.489605 | ||||||||
\(345\) | −2432.62 | + | 3500.89i | −0.379617 | + | 0.546323i | ||||
\(346\) | −6171.84 | −0.958960 | ||||||||
\(347\) | −601.174 | + | 386.351i | −0.0930050 | + | 0.0597707i | −0.586317 | − | 0.810082i | \(-0.699423\pi\) |
0.493312 | + | 0.869853i | \(0.335786\pi\) | |||||||
\(348\) | −1162.43 | + | 8084.86i | −0.179059 | + | 1.24538i | ||||
\(349\) | −2572.12 | + | 5632.17i | −0.394506 | + | 0.863848i | 0.603292 | + | 0.797521i | \(0.293855\pi\) |
−0.997798 | + | 0.0663275i | \(0.978872\pi\) | |||||||
\(350\) | 873.804 | − | 256.572i | 0.133448 | − | 0.0391839i | ||||
\(351\) | −1684.82 | − | 3689.24i | −0.256208 | − | 0.561017i | ||||
\(352\) | 252.838 | + | 291.791i | 0.0382850 | + | 0.0441832i | ||||
\(353\) | 176.571 | + | 1228.08i | 0.0266231 | + | 0.185168i | 0.998794 | − | 0.0491071i | \(-0.0156376\pi\) |
−0.972170 | + | 0.234275i | \(0.924728\pi\) | |||||||
\(354\) | −1172.89 | − | 344.392i | −0.176097 | − | 0.0517068i | ||||
\(355\) | −1492.67 | + | 1722.63i | −0.223162 | + | 0.257543i | ||||
\(356\) | −4308.08 | − | 2768.63i | −0.641370 | − | 0.412184i | ||||
\(357\) | −6705.01 | − | 4309.05i | −0.994025 | − | 0.638821i | ||||
\(358\) | −3809.06 | + | 4395.89i | −0.562332 | + | 0.648966i | ||||
\(359\) | 2774.40 | + | 814.637i | 0.407875 | + | 0.119763i | 0.479233 | − | 0.877688i | \(-0.340915\pi\) |
−0.0713577 | + | 0.997451i | \(0.522733\pi\) | |||||||
\(360\) | 186.421 | + | 1296.59i | 0.0272924 | + | 0.189823i | ||||
\(361\) | 3205.62 | + | 3699.49i | 0.467360 | + | 0.539362i | ||||
\(362\) | 2808.38 | + | 6149.49i | 0.407749 | + | 0.892846i | ||||
\(363\) | 8791.80 | − | 2581.50i | 1.27121 | − | 0.373261i | ||||
\(364\) | −2762.70 | + | 6049.47i | −0.397816 | + | 0.871095i | ||||
\(365\) | −759.371 | + | 5281.54i | −0.108897 | + | 0.757393i | ||||
\(366\) | 4410.67 | − | 2834.56i | 0.629916 | − | 0.404823i | ||||
\(367\) | 10609.9 | 1.50908 | 0.754538 | − | 0.656257i | \(-0.227861\pi\) | ||||
0.754538 | + | 0.656257i | \(0.227861\pi\) | |||||||
\(368\) | −63.6422 | + | 1763.72i | −0.00901517 | + | 0.249837i | ||||
\(369\) | −7424.60 | −1.04745 | ||||||||
\(370\) | 1620.41 | − | 1041.38i | 0.227679 | − | 0.146321i | ||||
\(371\) | 402.820 | − | 2801.68i | 0.0563703 | − | 0.392064i | ||||
\(372\) | 1890.27 | − | 4139.11i | 0.263456 | − | 0.576889i | ||||
\(373\) | −5082.47 | + | 1492.35i | −0.705524 | + | 0.207160i | −0.614763 | − | 0.788712i | \(-0.710748\pi\) |
−0.0907612 | + | 0.995873i | \(0.528930\pi\) | |||||||
\(374\) | 567.497 | + | 1242.65i | 0.0784615 | + | 0.171807i | ||||
\(375\) | −632.733 | − | 730.213i | −0.0871312 | − | 0.100555i | ||||
\(376\) | −400.768 | − | 2787.40i | −0.0549681 | − | 0.382312i | ||||
\(377\) | 23138.0 | + | 6793.92i | 3.16092 | + | 0.928129i | ||||
\(378\) | 1059.89 | − | 1223.18i | 0.144220 | − | 0.166439i | ||||
\(379\) | −11908.1 | − | 7652.87i | −1.61393 | − | 1.03721i | −0.959747 | − | 0.280867i | \(-0.909378\pi\) |
−0.654179 | − | 0.756340i | \(-0.726986\pi\) | |||||||
\(380\) | −745.614 | − | 479.177i | −0.100656 | − | 0.0646876i | ||||
\(381\) | 4758.54 | − | 5491.65i | 0.639862 | − | 0.738440i | ||||
\(382\) | −6235.57 | − | 1830.93i | −0.835182 | − | 0.245232i | ||||
\(383\) | −1458.62 | − | 10144.9i | −0.194600 | − | 1.35347i | −0.819640 | − | 0.572879i | \(-0.805826\pi\) |
0.625040 | − | 0.780593i | \(-0.285083\pi\) | |||||||
\(384\) | 647.919 | + | 747.738i | 0.0861041 | + | 0.0993694i | ||||
\(385\) | 456.455 | + | 999.497i | 0.0604236 | + | 0.132309i | ||||
\(386\) | −7848.00 | + | 2304.38i | −1.03485 | + | 0.303860i | ||||
\(387\) | −5312.04 | + | 11631.7i | −0.697742 | + | 1.52784i | ||||
\(388\) | −380.052 | + | 2643.32i | −0.0497273 | + | 0.345861i | ||||
\(389\) | −5514.92 | + | 3544.22i | −0.718811 | + | 0.461952i | −0.848223 | − | 0.529639i | \(-0.822327\pi\) |
0.129412 | + | 0.991591i | \(0.458691\pi\) | |||||||
\(390\) | 7055.88 | 0.916124 | ||||||||
\(391\) | −1974.21 | + | 5924.25i | −0.255345 | + | 0.766246i | ||||
\(392\) | 90.0370 | 0.0116009 | ||||||||
\(393\) | −304.567 | + | 195.733i | −0.0390925 | + | 0.0251232i | ||||
\(394\) | 312.447 | − | 2173.11i | 0.0399514 | − | 0.277868i | ||||
\(395\) | 2209.37 | − | 4837.85i | 0.281432 | − | 0.616250i | ||||
\(396\) | −1516.46 | + | 445.272i | −0.192437 | + | 0.0565045i | ||||
\(397\) | −145.202 | − | 317.947i | −0.0183563 | − | 0.0401947i | 0.900232 | − | 0.435411i | \(-0.143397\pi\) |
−0.918588 | + | 0.395216i | \(0.870670\pi\) | |||||||
\(398\) | −2709.90 | − | 3127.39i | −0.341294 | − | 0.393874i | ||||
\(399\) | 887.916 | + | 6175.59i | 0.111407 | + | 0.774853i | ||||
\(400\) | −383.797 | − | 112.693i | −0.0479746 | − | 0.0140866i | ||||
\(401\) | −4518.98 | + | 5215.18i | −0.562760 | + | 0.649460i | −0.963808 | − | 0.266597i | \(-0.914101\pi\) |
0.401048 | + | 0.916057i | \(0.368646\pi\) | |||||||
\(402\) | −9499.56 | − | 6104.99i | −1.17859 | − | 0.757436i | ||||
\(403\) | −11301.5 | − | 7263.03i | −1.39694 | − | 0.897760i | ||||
\(404\) | 2151.81 | − | 2483.32i | 0.264992 | − | 0.305817i | ||||
\(405\) | 2594.29 | + | 761.753i | 0.318300 | + | 0.0934612i | ||||
\(406\) | 1369.55 | + | 9525.40i | 0.167412 | + | 1.16438i | ||||
\(407\) | 1521.92 | + | 1756.39i | 0.185353 | + | 0.213909i | ||||
\(408\) | 1454.26 | + | 3184.39i | 0.176462 | + | 0.386399i | ||||
\(409\) | 6222.48 | − | 1827.08i | 0.752278 | − | 0.220889i | 0.116957 | − | 0.993137i | \(-0.462686\pi\) |
0.635321 | + | 0.772248i | \(0.280868\pi\) | |||||||
\(410\) | 941.824 | − | 2062.31i | 0.113447 | − | 0.248415i | ||||
\(411\) | 1361.48 | − | 9469.31i | 0.163399 | − | 1.13646i | ||||
\(412\) | −2986.89 | + | 1919.56i | −0.357169 | + | 0.229538i | ||||
\(413\) | −1440.21 | −0.171594 | ||||||||
\(414\) | −6459.13 | − | 3236.19i | −0.766784 | − | 0.384178i | ||||
\(415\) | −1147.39 | −0.135719 | ||||||||
\(416\) | 2457.35 | − | 1579.24i | 0.289619 | − | 0.186127i | ||||
\(417\) | 726.024 | − | 5049.61i | 0.0852603 | − | 0.592999i | ||||
\(418\) | 444.235 | − | 972.739i | 0.0519815 | − | 0.113824i | ||||
\(419\) | −11877.4 | + | 3487.51i | −1.38484 | + | 0.406625i | −0.887450 | − | 0.460904i | \(-0.847525\pi\) |
−0.497387 | + | 0.867529i | \(0.665707\pi\) | |||||||
\(420\) | 1169.71 | + | 2561.30i | 0.135895 | + | 0.297568i | ||||
\(421\) | 4252.93 | + | 4908.14i | 0.492340 | + | 0.568190i | 0.946489 | − | 0.322735i | \(-0.104602\pi\) |
−0.454150 | + | 0.890925i | \(0.650057\pi\) | |||||||
\(422\) | −1480.41 | − | 10296.5i | −0.170771 | − | 1.18774i | ||||
\(423\) | 11060.6 | + | 3247.69i | 1.27136 | + | 0.373306i | ||||
\(424\) | −814.137 | + | 939.565i | −0.0932500 | + | 0.107616i | ||||
\(425\) | −1190.63 | − | 765.169i | −0.135891 | − | 0.0873321i | ||||
\(426\) | −5928.74 | − | 3810.17i | −0.674292 | − | 0.433341i | ||||
\(427\) | 4045.17 | − | 4668.38i | 0.458453 | − | 0.529083i | ||||
\(428\) | −5118.19 | − | 1502.84i | −0.578031 | − | 0.169725i | ||||
\(429\) | 1211.56 | + | 8426.58i | 0.136351 | + | 0.948343i | ||||
\(430\) | −2557.07 | − | 2951.02i | −0.286774 | − | 0.330955i | ||||
\(431\) | −1226.71 | − | 2686.11i | −0.137096 | − | 0.300198i | 0.828615 | − | 0.559820i | \(-0.189130\pi\) |
−0.965711 | + | 0.259621i | \(0.916402\pi\) | |||||||
\(432\) | −682.092 | + | 200.280i | −0.0759657 | + | 0.0223055i | ||||
\(433\) | 5100.59 | − | 11168.7i | 0.566094 | − | 1.23957i | −0.382757 | − | 0.923849i | \(-0.625025\pi\) |
0.948851 | − | 0.315724i | \(-0.102247\pi\) | |||||||
\(434\) | 762.960 | − | 5306.51i | 0.0843854 | − | 0.586913i | ||||
\(435\) | 8589.20 | − | 5519.94i | 0.946714 | − | 0.608416i | ||||
\(436\) | −2343.09 | −0.257371 | ||||||||
\(437\) | 4516.80 | − | 1868.97i | 0.494434 | − | 0.204588i | ||||
\(438\) | −16497.8 | −1.79976 | ||||||||
\(439\) | 6363.52 | − | 4089.59i | 0.691832 | − | 0.444613i | −0.146905 | − | 0.989151i | \(-0.546931\pi\) |
0.838737 | + | 0.544537i | \(0.183295\pi\) | |||||||
\(440\) | 68.6837 | − | 477.705i | 0.00744174 | − | 0.0517584i | ||||
\(441\) | −153.108 | + | 335.260i | −0.0165326 | + | 0.0362013i | ||||
\(442\) | 9916.76 | − | 2911.82i | 1.06718 | − | 0.313351i | ||||
\(443\) | 774.779 | + | 1696.53i | 0.0830945 | + | 0.181952i | 0.946618 | − | 0.322356i | \(-0.104475\pi\) |
−0.863524 | + | 0.504308i | \(0.831748\pi\) | |||||||
\(444\) | 3900.05 | + | 4500.89i | 0.416865 | + | 0.481088i | ||||
\(445\) | 910.997 | + | 6336.12i | 0.0970458 | + | 0.674969i | ||||
\(446\) | −5582.16 | − | 1639.07i | −0.592653 | − | 0.174019i | ||||
\(447\) | 7016.64 | − | 8097.64i | 0.742452 | − | 0.856835i | ||||
\(448\) | 980.639 | + | 630.219i | 0.103417 | + | 0.0664621i | ||||
\(449\) | 10053.9 | + | 6461.27i | 1.05674 | + | 0.679123i | 0.949070 | − | 0.315064i | \(-0.102026\pi\) |
0.107665 | + | 0.994187i | \(0.465662\pi\) | |||||||
\(450\) | 1072.27 | − | 1237.47i | 0.112327 | − | 0.129633i | ||||
\(451\) | 2624.66 | + | 770.670i | 0.274036 | + | 0.0804643i | ||||
\(452\) | −806.506 | − | 5609.38i | −0.0839267 | − | 0.583723i | ||||
\(453\) | 9914.41 | + | 11441.8i | 1.02830 | + | 1.18672i | ||||
\(454\) | −1468.04 | − | 3214.56i | −0.151759 | − | 0.332306i | ||||
\(455\) | 7976.34 | − | 2342.07i | 0.821839 | − | 0.241314i | ||||
\(456\) | 1138.39 | − | 2492.73i | 0.116908 | − | 0.255993i | ||||
\(457\) | 505.563 | − | 3516.27i | 0.0517488 | − | 0.359921i | −0.947450 | − | 0.319904i | \(-0.896350\pi\) |
0.999199 | − | 0.0400176i | \(-0.0127414\pi\) | |||||||
\(458\) | 3991.38 | − | 2565.10i | 0.407216 | − | 0.261702i | ||||
\(459\) | −2515.30 | −0.255782 | ||||||||
\(460\) | 1718.26 | − | 1383.62i | 0.174161 | − | 0.140242i | ||||
\(461\) | 10497.7 | 1.06058 | 0.530291 | − | 0.847816i | \(-0.322083\pi\) | ||||
0.530291 | + | 0.847816i | \(0.322083\pi\) | |||||||
\(462\) | −2858.02 | + | 1836.73i | −0.287807 | + | 0.184962i | ||||
\(463\) | −1412.30 | + | 9822.75i | −0.141760 | + | 0.985965i | 0.787441 | + | 0.616390i | \(0.211406\pi\) |
−0.929201 | + | 0.369575i | \(0.879503\pi\) | |||||||
\(464\) | 1755.88 | − | 3844.85i | 0.175679 | − | 0.384683i | ||||
\(465\) | −5457.49 | + | 1602.46i | −0.544269 | + | 0.159812i | ||||
\(466\) | −419.131 | − | 917.768i | −0.0416649 | − | 0.0912334i | ||||
\(467\) | −11048.5 | − | 12750.6i | −1.09478 | − | 1.26344i | −0.962221 | − | 0.272270i | \(-0.912226\pi\) |
−0.132560 | − | 0.991175i | \(-0.542320\pi\) | |||||||
\(468\) | 1701.71 | + | 11835.6i | 0.168080 | + | 1.16902i | ||||
\(469\) | −12765.2 | − | 3748.21i | −1.25681 | − | 0.369033i | ||||
\(470\) | −2305.16 | + | 2660.30i | −0.226232 | + | 0.261086i | ||||
\(471\) | 6973.95 | + | 4481.88i | 0.682256 | + | 0.438459i | ||||
\(472\) | 532.158 | + | 341.997i | 0.0518953 | + | 0.0333511i | ||||
\(473\) | 3085.22 | − | 3560.53i | 0.299912 | − | 0.346117i | ||||
\(474\) | 15777.9 | + | 4632.82i | 1.52891 | + | 0.448930i | ||||
\(475\) | 157.669 | + | 1096.61i | 0.0152303 | + | 0.105929i | ||||
\(476\) | 2700.97 | + | 3117.09i | 0.260081 | + | 0.300150i | ||||
\(477\) | −2114.10 | − | 4629.24i | −0.202931 | − | 0.444357i | ||||
\(478\) | 3682.93 | − | 1081.41i | 0.352413 | − | 0.103478i | ||||
\(479\) | 1907.16 | − | 4176.10i | 0.181921 | − | 0.398352i | −0.796597 | − | 0.604510i | \(-0.793369\pi\) |
0.978519 | + | 0.206158i | \(0.0660961\pi\) | |||||||
\(480\) | 176.008 | − | 1224.16i | 0.0167367 | − | 0.116406i | ||||
\(481\) | 14791.6 | − | 9505.99i | 1.40216 | − | 0.901114i | ||||
\(482\) | 1503.80 | 0.142108 | ||||||||
\(483\) | −15281.7 | − | 2762.94i | −1.43963 | − | 0.260286i | ||||
\(484\) | −4741.70 | −0.445314 | ||||||||
\(485\) | 2808.21 | − | 1804.73i | 0.262916 | − | 0.168966i | ||||
\(486\) | −1531.18 | + | 10649.6i | −0.142913 | + | 0.993982i | ||||
\(487\) | −4186.44 | + | 9167.01i | −0.389539 | + | 0.852971i | 0.608686 | + | 0.793411i | \(0.291697\pi\) |
−0.998225 | + | 0.0595600i | \(0.981030\pi\) | |||||||
\(488\) | −2603.26 | + | 764.386i | −0.241484 | + | 0.0709060i | ||||
\(489\) | −9715.99 | − | 21275.1i | −0.898512 | − | 1.96747i | ||||
\(490\) | −73.7021 | − | 85.0568i | −0.00679494 | − | 0.00784178i | ||||
\(491\) | 700.621 | + | 4872.93i | 0.0643963 | + | 0.447886i | 0.996354 | + | 0.0853184i | \(0.0271907\pi\) |
−0.931957 | + | 0.362568i | \(0.881900\pi\) | |||||||
\(492\) | 6725.92 | + | 1974.91i | 0.616316 | + | 0.180967i | ||||
\(493\) | 9793.80 | − | 11302.6i | 0.894707 | − | 1.03255i | ||||
\(494\) | −6806.18 | − | 4374.07i | −0.619888 | − | 0.398378i | ||||
\(495\) | 1661.98 | + | 1068.09i | 0.150910 | + | 0.0969839i | ||||
\(496\) | −1542.01 | + | 1779.58i | −0.139594 | + | 0.161100i | ||||
\(497\) | −7966.88 | − | 2339.29i | −0.719041 | − | 0.211129i | ||||
\(498\) | −504.875 | − | 3511.49i | −0.0454297 | − | 0.315971i | ||||
\(499\) | −2651.53 | − | 3060.02i | −0.237873 | − | 0.274520i | 0.624244 | − | 0.781229i | \(-0.285407\pi\) |
−0.862117 | + | 0.506709i | \(0.830862\pi\) | |||||||
\(500\) | 207.708 | + | 454.816i | 0.0185779 | + | 0.0406800i | ||||
\(501\) | −5608.11 | + | 1646.69i | −0.500103 | + | 0.146844i | ||||
\(502\) | −613.543 | + | 1343.47i | −0.0545493 | + | 0.119446i | ||||
\(503\) | −1412.61 | + | 9824.91i | −0.125219 | + | 0.870916i | 0.826279 | + | 0.563261i | \(0.190453\pi\) |
−0.951498 | + | 0.307655i | \(0.900456\pi\) | |||||||
\(504\) | −4014.25 | + | 2579.80i | −0.354780 | + | 0.228003i | ||||
\(505\) | −4107.38 | −0.361933 | ||||||||
\(506\) | 1947.44 | + | 1814.47i | 0.171096 | + | 0.159413i | ||||
\(507\) | 47426.0 | 4.15437 | ||||||||
\(508\) | −3163.37 | + | 2032.97i | −0.276283 | + | 0.177556i | ||||
\(509\) | 2682.88 | − | 18659.8i | 0.233628 | − | 1.62492i | −0.448570 | − | 0.893748i | \(-0.648066\pi\) |
0.682197 | − | 0.731168i | \(-0.261024\pi\) | |||||||
\(510\) | 1817.83 | − | 3980.48i | 0.157833 | − | 0.345605i | ||||
\(511\) | −18650.0 | + | 5476.13i | −1.61453 | + | 0.474070i | ||||
\(512\) | −212.692 | − | 465.732i | −0.0183589 | − | 0.0402004i | ||||
\(513\) | 1289.40 | + | 1488.05i | 0.110972 | + | 0.128068i | ||||
\(514\) | −1099.08 | − | 7644.29i | −0.0943161 | − | 0.655983i | ||||
\(515\) | 4258.38 | + | 1250.37i | 0.364362 | + | 0.106986i | ||||
\(516\) | 7906.14 | − | 9124.17i | 0.674512 | − | 0.778429i | ||||
\(517\) | −3572.92 | − | 2296.17i | −0.303940 | − | 0.195330i | ||||
\(518\) | 5902.81 | + | 3793.50i | 0.500684 | + | 0.321770i | ||||
\(519\) | −15620.5 | + | 18027.0i | −1.32113 | + | 1.52466i | ||||
\(520\) | −3503.41 | − | 1028.69i | −0.295452 | − | 0.0867524i | ||||
\(521\) | 2110.88 | + | 14681.5i | 0.177503 | + | 1.23456i | 0.862516 | + | 0.506030i | \(0.168888\pi\) |
−0.685013 | + | 0.728531i | \(0.740203\pi\) | |||||||
\(522\) | 11330.7 | + | 13076.4i | 0.950063 | + | 1.09643i | ||||
\(523\) | 8335.63 | + | 18252.5i | 0.696925 | + | 1.52605i | 0.843661 | + | 0.536876i | \(0.180396\pi\) |
−0.146736 | + | 0.989176i | \(0.546877\pi\) | |||||||
\(524\) | 179.761 | − | 52.7826i | 0.0149864 | − | 0.00440042i | ||||
\(525\) | 1462.13 | − | 3201.62i | 0.121548 | − | 0.266153i | ||||
\(526\) | 298.006 | − | 2072.68i | 0.0247028 | − | 0.171812i | ||||
\(527\) | −7008.98 | + | 4504.39i | −0.579347 | + | 0.372324i | ||||
\(528\) | 1492.19 | 0.122991 | ||||||||
\(529\) | 859.038 | + | 12136.6i | 0.0706039 | + | 0.997504i | ||||
\(530\) | 1554.03 | 0.127363 | ||||||||
\(531\) | −2178.39 | + | 1399.97i | −0.178030 | + | 0.114413i | ||||
\(532\) | 459.483 | − | 3195.78i | 0.0374457 | − | 0.260441i | ||||
\(533\) | 8597.25 | − | 18825.3i | 0.698664 | − | 1.52986i | ||||
\(534\) | −18990.2 | + | 5576.04i | −1.53893 | + | 0.451870i | ||||
\(535\) | 2769.92 | + | 6065.28i | 0.223839 | + | 0.490140i | ||||
\(536\) | 3826.69 | + | 4416.24i | 0.308373 | + | 0.355881i | ||||
\(537\) | 3199.27 | + | 22251.4i | 0.257092 | + | 1.78812i | ||||
\(538\) | −12825.8 | − | 3766.00i | −1.02781 | − | 0.301791i | ||||
\(539\) | 88.9249 | − | 102.625i | 0.00710624 | − | 0.00820104i | ||||
\(540\) | 747.547 | + | 480.419i | 0.0595728 | + | 0.0382851i | ||||
\(541\) | 17257.7 | + | 11090.9i | 1.37148 | + | 0.881394i | 0.998913 | − | 0.0466136i | \(-0.0148429\pi\) |
0.372562 | + | 0.928007i | \(0.378479\pi\) | |||||||
\(542\) | −591.960 | + | 683.158i | −0.0469130 | + | 0.0541405i | ||||
\(543\) | 25069.6 | + | 7361.10i | 1.98129 | + | 0.581758i | ||||
\(544\) | −257.815 | − | 1793.14i | −0.0203194 | − | 0.141324i | ||||
\(545\) | 1918.00 | + | 2213.49i | 0.150748 | + | 0.173973i | ||||
\(546\) | 10677.4 | + | 23380.3i | 0.836907 | + | 1.83257i | ||||
\(547\) | −7403.91 | + | 2173.99i | −0.578736 | + | 0.169932i | −0.557983 | − | 0.829852i | \(-0.688425\pi\) |
−0.0207530 | + | 0.999785i | \(0.506606\pi\) | |||||||
\(548\) | −2056.56 | + | 4503.24i | −0.160314 | + | 0.351038i | ||||
\(549\) | 1580.60 | − | 10993.3i | 0.122875 | − | 0.854613i | ||||
\(550\) | −507.505 | + | 326.154i | −0.0393456 | + | 0.0252859i | ||||
\(551\) | −11707.1 | −0.905157 | ||||||||
\(552\) | 4990.49 | + | 4649.74i | 0.384799 | + | 0.358526i | ||||
\(553\) | 19374.0 | 1.48981 | ||||||||
\(554\) | 10765.4 | − | 6918.53i | 0.825595 | − | 0.530578i | ||||
\(555\) | 1059.45 | − | 7368.65i | 0.0810292 | − | 0.563571i | ||||
\(556\) | −1096.68 | + | 2401.40i | −0.0836506 | + | 0.183169i | ||||
\(557\) | −8306.93 | + | 2439.13i | −0.631914 | + | 0.185547i | −0.581976 | − | 0.813206i | \(-0.697720\pi\) |
−0.0499374 | + | 0.998752i | \(0.515902\pi\) | |||||||
\(558\) | −4004.21 | − | 8768.00i | −0.303784 | − | 0.665195i | ||||
\(559\) | −23341.7 | − | 26937.7i | −1.76610 | − | 2.03818i | ||||
\(560\) | −207.368 | − | 1442.28i | −0.0156481 | − | 0.108835i | ||||
\(561\) | 5065.88 | + | 1487.48i | 0.381251 | + | 0.111945i | ||||
\(562\) | 7918.46 | − | 9138.39i | 0.594341 | − | 0.685907i | ||||
\(563\) | 561.824 | + | 361.063i | 0.0420570 | + | 0.0270284i | 0.561500 | − | 0.827476i | \(-0.310224\pi\) |
−0.519443 | + | 0.854505i | \(0.673861\pi\) | |||||||
\(564\) | −9155.91 | − | 5884.14i | −0.683570 | − | 0.439304i | ||||
\(565\) | −4638.92 | + | 5353.60i | −0.345417 | + | 0.398633i | ||||
\(566\) | 6832.31 | + | 2006.15i | 0.507391 | + | 0.148983i | ||||
\(567\) | 1401.71 | + | 9749.14i | 0.103821 | + | 0.722091i | ||||
\(568\) | 2388.27 | + | 2756.21i | 0.176425 | + | 0.203605i | ||||
\(569\) | −9387.81 | − | 20556.4i | −0.691665 | − | 1.51453i | −0.849793 | − | 0.527116i | \(-0.823273\pi\) |
0.158128 | − | 0.987419i | \(-0.449454\pi\) | |||||||
\(570\) | −3286.71 | + | 965.064i | −0.241518 | + | 0.0709159i | ||||
\(571\) | 8833.70 | − | 19343.1i | 0.647423 | − | 1.41766i | −0.246368 | − | 0.969176i | \(-0.579237\pi\) |
0.893791 | − | 0.448483i | \(-0.148036\pi\) | |||||||
\(572\) | 626.965 | − | 4360.63i | 0.0458299 | − | 0.318754i | ||||
\(573\) | −21129.7 | + | 13579.2i | −1.54050 | + | 0.990018i | ||||
\(574\) | 8258.86 | 0.600554 | ||||||||
\(575\) | −2713.61 | − | 490.621i | −0.196809 | − | 0.0355832i | ||||
\(576\) | 2095.87 | 0.151611 | ||||||||
\(577\) | 12068.1 | − | 7755.67i | 0.870711 | − | 0.559572i | −0.0272593 | − | 0.999628i | \(-0.508678\pi\) |
0.897970 | + | 0.440057i | \(0.145042\pi\) | |||||||
\(578\) | −486.171 | + | 3381.40i | −0.0349863 | + | 0.243335i | ||||
\(579\) | −13132.0 | + | 28755.1i | −0.942569 | + | 2.06394i | ||||
\(580\) | −5069.51 | + | 1488.54i | −0.362931 | + | 0.106566i | ||||
\(581\) | −1736.31 | − | 3801.99i | −0.123983 | − | 0.271485i | ||||
\(582\) | 6758.86 | + | 7800.14i | 0.481381 | + | 0.555543i | ||||
\(583\) | 266.841 | + | 1855.92i | 0.0189561 | + | 0.131843i | ||||
\(584\) | 8191.54 | + | 2405.25i | 0.580426 | + | 0.170428i | ||||
\(585\) | 9787.99 | − | 11295.9i | 0.691767 | − | 0.798342i | ||||
\(586\) | 14436.9 | + | 9278.01i | 1.01772 | + | 0.654046i | ||||
\(587\) | 2124.37 | + | 1365.25i | 0.149373 | + | 0.0959965i | 0.613193 | − | 0.789933i | \(-0.289885\pi\) |
−0.463819 | + | 0.885930i | \(0.653521\pi\) | |||||||
\(588\) | 227.878 | − | 262.985i | 0.0159822 | − | 0.0184444i | ||||
\(589\) | 6257.75 | + | 1837.44i | 0.437769 | + | 0.128541i | ||||
\(590\) | −112.531 | − | 782.674i | −0.00785228 | − | 0.0546138i | ||||
\(591\) | −5556.57 | − | 6412.62i | −0.386745 | − | 0.446328i | ||||
\(592\) | −1280.27 | − | 2803.40i | −0.0888830 | − | 0.194627i | ||||
\(593\) | −16153.0 | + | 4742.95i | −1.11859 | + | 0.328448i | −0.788214 | − | 0.615401i | \(-0.788994\pi\) |
−0.330377 | + | 0.943849i | \(0.607176\pi\) | |||||||
\(594\) | −445.386 | + | 975.260i | −0.0307650 | + | 0.0673660i | ||||
\(595\) | 733.721 | − | 5103.14i | 0.0505540 | − | 0.351611i | ||||
\(596\) | −4664.50 | + | 2997.69i | −0.320580 | + | 0.206024i | ||||
\(597\) | −15993.2 | −1.09641 | ||||||||
\(598\) | 15684.8 | − | 12630.0i | 1.07257 | − | 0.863680i | ||||
\(599\) | −19645.2 | −1.34004 | −0.670018 | − | 0.742345i | \(-0.733714\pi\) | ||||
−0.670018 | + | 0.742345i | \(0.733714\pi\) | |||||||
\(600\) | −1300.53 | + | 835.797i | −0.0884895 | + | 0.0568688i | ||||
\(601\) | 2745.43 | − | 19094.9i | 0.186337 | − | 1.29600i | −0.655058 | − | 0.755579i | \(-0.727356\pi\) |
0.841394 | − | 0.540421i | \(-0.181735\pi\) | |||||||
\(602\) | 5908.92 | − | 12938.7i | 0.400049 | − | 0.875986i | ||||
\(603\) | −22951.5 | + | 6739.18i | −1.55001 | + | 0.455125i | ||||
\(604\) | −3254.60 | − | 7126.59i | −0.219252 | − | 0.480094i | ||||
\(605\) | 3881.44 | + | 4479.42i | 0.260831 | + | 0.301016i | ||||
\(606\) | −1807.33 | − | 12570.3i | −0.121151 | − | 0.842627i | ||||
\(607\) | 13328.4 | + | 3913.58i | 0.891244 | + | 0.261693i | 0.695126 | − | 0.718888i | \(-0.255348\pi\) |
0.196117 | + | 0.980580i | \(0.437167\pi\) | |||||||
\(608\) | −928.659 | + | 1071.73i | −0.0619442 | + | 0.0714875i | ||||
\(609\) | 31288.5 | + | 20107.9i | 2.08190 | + | 1.33795i | ||||
\(610\) | 2853.07 | + | 1833.56i | 0.189373 | + | 0.121703i | ||||
\(611\) | −21042.2 | + | 24284.0i | −1.39325 | + | 1.60790i | ||||
\(612\) | 7115.34 | + | 2089.25i | 0.469968 | + | 0.137995i | ||||
\(613\) | 3358.83 | + | 23361.2i | 0.221308 | + | 1.53923i | 0.733099 | + | 0.680122i | \(0.238073\pi\) |
−0.511790 | + | 0.859110i | \(0.671018\pi\) | |||||||
\(614\) | 5076.19 | + | 5858.24i | 0.333646 | + | 0.385048i | ||||
\(615\) | −3640.00 | − | 7970.50i | −0.238665 | − | 0.522604i | ||||
\(616\) | 1686.85 | − | 495.305i | 0.110333 | − | 0.0323968i | ||||
\(617\) | −6501.64 | + | 14236.6i | −0.424224 | + | 0.928921i | 0.570005 | + | 0.821641i | \(0.306941\pi\) |
−0.994229 | + | 0.107279i | \(0.965786\pi\) | |||||||
\(618\) | −1952.87 | + | 13582.5i | −0.127113 | + | 0.884093i | ||||
\(619\) | −7115.26 | + | 4572.70i | −0.462014 | + | 0.296918i | −0.750865 | − | 0.660456i | \(-0.770363\pi\) |
0.288851 | + | 0.957374i | \(0.406727\pi\) | |||||||
\(620\) | 2943.40 | 0.190661 | ||||||||
\(621\) | −4528.50 | + | 1873.81i | −0.292629 | + | 0.121085i | ||||
\(622\) | −942.448 | −0.0607536 | ||||||||
\(623\) | −19616.7 | + | 12606.9i | −1.26152 | + | 0.810730i | ||||
\(624\) | 1606.65 | − | 11174.5i | 0.103073 | − | 0.716888i | ||||
\(625\) | 259.634 | − | 568.520i | 0.0166166 | − | 0.0363853i | ||||
\(626\) | 10489.0 | − | 3079.84i | 0.669686 | − | 0.196638i | ||||
\(627\) | −1716.90 | − | 3759.48i | −0.109356 | − | 0.239457i | ||||
\(628\) | −2809.30 | − | 3242.11i | −0.178509 | − | 0.206010i | ||||
\(629\) | −1551.88 | − | 10793.6i | −0.0983743 | − | 0.684208i | ||||
\(630\) | 5723.08 | + | 1680.45i | 0.361925 | + | 0.106271i | ||||
\(631\) | 3311.92 | − | 3822.16i | 0.208947 | − | 0.241138i | −0.641597 | − | 0.767042i | \(-0.721728\pi\) |
0.850544 | + | 0.525905i | \(0.176273\pi\) | |||||||
\(632\) | −7158.69 | − | 4600.61i | −0.450566 | − | 0.289561i | ||||
\(633\) | −33821.3 | − | 21735.6i | −2.12366 | − | 1.36479i | ||||
\(634\) | 215.738 | − | 248.975i | 0.0135143 | − | 0.0155963i | ||||
\(635\) | 4509.98 | + | 1324.25i | 0.281847 | + | 0.0827579i | ||||
\(636\) | 683.803 | + | 4755.95i | 0.0426329 | + | 0.296518i | ||||
\(637\) | −672.774 | − | 776.423i | −0.0418466 | − | 0.0482936i | ||||
\(638\) | −2648.19 | − | 5798.73i | −0.164331 | − | 0.359834i | ||||
\(639\) | −14324.2 | + | 4205.97i | −0.886788 | + | 0.260384i | ||||
\(640\) | −265.866 | + | 582.164i | −0.0164207 | + | 0.0359564i | ||||
\(641\) | 1818.21 | − | 12646.0i | 0.112036 | − | 0.779228i | −0.853898 | − | 0.520440i | \(-0.825768\pi\) |
0.965934 | − | 0.258788i | \(-0.0833231\pi\) | |||||||
\(642\) | −17343.4 | + | 11145.9i | −1.06618 | + | 0.685193i | ||||
\(643\) | 5715.57 | 0.350544 | 0.175272 | − | 0.984520i | \(-0.443919\pi\) | ||||
0.175272 | + | 0.984520i | \(0.443919\pi\) | |||||||
\(644\) | 7184.90 | + | 3599.82i | 0.439635 | + | 0.220268i | ||||
\(645\) | −15091.3 | −0.921268 | ||||||||
\(646\) | −4221.07 | + | 2712.72i | −0.257083 | + | 0.165217i | ||||
\(647\) | 3028.84 | − | 21066.0i | 0.184043 | − | 1.28005i | −0.663039 | − | 0.748585i | \(-0.730734\pi\) |
0.847082 | − | 0.531462i | \(-0.178357\pi\) | |||||||
\(648\) | 1797.13 | − | 3935.16i | 0.108947 | − | 0.238561i | ||||
\(649\) | 915.396 | − | 268.784i | 0.0553658 | − | 0.0162569i | ||||
\(650\) | 1896.01 | + | 4151.69i | 0.114412 | + | 0.250527i | ||||
\(651\) | −13568.5 | − | 15658.9i | −0.816885 | − | 0.942736i | ||||
\(652\) | 1722.48 | + | 11980.1i | 0.103462 | + | 0.719596i | ||||
\(653\) | 3016.08 | + | 885.602i | 0.180748 | + | 0.0530724i | 0.370854 | − | 0.928691i | \(-0.379065\pi\) |
−0.190106 | + | 0.981764i | \(0.560883\pi\) | |||||||
\(654\) | −5930.20 | + | 6843.82i | −0.354571 | + | 0.409196i | ||||
\(655\) | −197.011 | − | 126.611i | −0.0117525 | − | 0.00755285i | ||||
\(656\) | −3051.65 | − | 1961.18i | −0.181626 | − | 0.116724i | ||||
\(657\) | −22885.9 | + | 26411.7i | −1.35900 | + | 1.56837i | ||||
\(658\) | −12303.5 | − | 3612.62i | −0.728934 | − | 0.214034i | ||||
\(659\) | −2524.91 | − | 17561.1i | −0.149251 | − | 1.03806i | −0.917450 | − | 0.397852i | \(-0.869756\pi\) |
0.768199 | − | 0.640212i | \(-0.221153\pi\) | |||||||
\(660\) | −1221.47 | − | 1409.66i | −0.0720391 | − | 0.0831375i | ||||
\(661\) | 6271.49 | + | 13732.7i | 0.369036 | + | 0.808076i | 0.999493 | + | 0.0318516i | \(0.0101404\pi\) |
−0.630457 | + | 0.776224i | \(0.717132\pi\) | |||||||
\(662\) | −10854.8 | + | 3187.27i | −0.637289 | + | 0.187125i | ||||
\(663\) | 16593.6 | − | 36335.0i | 0.972012 | − | 2.12841i | ||||
\(664\) | −261.266 | + | 1817.14i | −0.0152697 | + | 0.106203i | ||||
\(665\) | −3395.13 | + | 2181.92i | −0.197981 | + | 0.127235i | ||||
\(666\) | 12615.8 | 0.734012 | ||||||||
\(667\) | 9212.50 | − | 27645.1i | 0.534797 | − | 1.60483i | ||||
\(668\) | 3024.63 | 0.175189 | ||||||||
\(669\) | −18915.6 | + | 12156.3i | −1.09315 | + | 0.702526i | ||||
\(670\) | 1039.52 | − | 7230.05i | 0.0599408 | − | 0.416898i | ||||
\(671\) | −1699.85 | + | 3722.16i | −0.0977974 | + | 0.214146i | ||||
\(672\) | 4322.71 | − | 1269.26i | 0.248143 | − | 0.0728614i | ||||
\(673\) | −3939.97 | − | 8627.32i | −0.225668 | − | 0.494144i | 0.762601 | − | 0.646870i | \(-0.223922\pi\) |
−0.988269 | + | 0.152726i | \(0.951195\pi\) | |||||||
\(674\) | 12356.8 | + | 14260.6i | 0.706184 | + | 0.814979i | ||||
\(675\) | −158.078 | − | 1099.46i | −0.00901397 | − | 0.0626935i | ||||
\(676\) | −23548.1 | − | 6914.36i | −1.33979 | − | 0.393398i | ||||
\(677\) | 461.049 | − | 532.079i | 0.0261737 | − | 0.0302060i | −0.742512 | − | 0.669833i | \(-0.766366\pi\) |
0.768685 | + | 0.639627i | \(0.220911\pi\) | |||||||
\(678\) | −18425.4 | − | 11841.3i | −1.04369 | − | 0.670739i | ||||
\(679\) | 10229.7 | + | 6574.22i | 0.578172 | + | 0.371569i | ||||
\(680\) | −1482.92 | + | 1711.38i | −0.0836284 | + | 0.0965123i | ||||
\(681\) | −13104.8 | − | 3847.91i | −0.737410 | − | 0.216523i | ||||
\(682\) | 505.409 | + | 3515.20i | 0.0283770 | + | 0.197366i | ||||
\(683\) | −3607.37 | − | 4163.12i | −0.202097 | − | 0.233232i | 0.645650 | − | 0.763634i | \(-0.276587\pi\) |
−0.847746 | + | 0.530402i | \(0.822041\pi\) | |||||||
\(684\) | −2411.49 | − | 5280.42i | −0.134803 | − | 0.295178i | ||||
\(685\) | 5937.60 | − | 1743.44i | 0.331189 | − | 0.0972458i | ||||
\(686\) | 5360.81 | − | 11738.5i | 0.298362 | − | 0.653322i | ||||
\(687\) | 2609.63 | − | 18150.3i | 0.144925 | − | 1.00798i | ||||
\(688\) | −5255.82 | + | 3377.71i | −0.291245 | + | 0.187172i | ||||
\(689\) | 14185.6 | 0.784367 | ||||||||
\(690\) | 307.459 | − | 8520.62i | 0.0169634 | − | 0.470108i | ||||
\(691\) | 9859.68 | 0.542807 | 0.271404 | − | 0.962466i | \(-0.412512\pi\) | ||||
0.271404 | + | 0.962466i | \(0.412512\pi\) | |||||||
\(692\) | 10384.2 | − | 6673.50i | 0.570443 | − | 0.366601i | ||||
\(693\) | −1024.19 | + | 7123.41i | −0.0561412 | + | 0.390470i | ||||
\(694\) | 593.726 | − | 1300.08i | 0.0324748 | − | 0.0711099i | ||||
\(695\) | 3166.29 | − | 929.707i | 0.172812 | − | 0.0507422i | ||||
\(696\) | −6786.22 | − | 14859.7i | −0.369585 | − | 0.809277i | ||||
\(697\) | −8405.14 | − | 9700.05i | −0.456768 | − | 0.527139i | ||||
\(698\) | −1762.34 | − | 12257.4i | −0.0955668 | − | 0.664681i | ||||
\(699\) | −3741.46 | − | 1098.59i | −0.202453 | − | 0.0594457i | ||||
\(700\) | −1192.76 | + | 1376.51i | −0.0644027 | + | 0.0743247i | ||||
\(701\) | −4203.63 | − | 2701.51i | −0.226489 | − | 0.145556i | 0.422475 | − | 0.906374i | \(-0.361161\pi\) |
−0.648965 | + | 0.760819i | \(0.724798\pi\) | |||||||
\(702\) | 6823.82 | + | 4385.41i | 0.366878 | + | 0.235778i | ||||
\(703\) | −5589.92 | + | 6451.11i | −0.299897 | + | 0.346100i | ||||
\(704\) | −740.909 | − | 217.551i | −0.0396649 | − | 0.0116467i | ||||
\(705\) | 1936.13 | + | 13466.1i | 0.103431 | + | 0.719379i | ||||
\(706\) | −1624.98 | − | 1875.33i | −0.0866248 | − | 0.0999704i | ||||
\(707\) | −6215.56 | − | 13610.2i | −0.330637 | − | 0.723993i | ||||
\(708\) | 2345.78 | − | 688.783i | 0.124520 | − | 0.0365622i | ||||
\(709\) | 5018.53 | − | 10989.0i | 0.265832 | − | 0.582090i | −0.728898 | − | 0.684622i | \(-0.759967\pi\) |
0.994730 | + | 0.102532i | \(0.0326944\pi\) | |||||||
\(710\) | 648.775 | − | 4512.33i | 0.0342931 | − | 0.238514i | ||||
\(711\) | 29304.1 | − | 18832.6i | 1.54570 | − | 0.993360i | ||||
\(712\) | 10242.0 | 0.539097 | ||||||||
\(713\) | −9263.22 | + | 13331.1i | −0.486550 | + | 0.700215i | ||||
\(714\) | 15940.5 | 0.835517 | ||||||||
\(715\) | −4632.65 | + | 2977.23i | −0.242310 | + | 0.155723i | ||||
\(716\) | 1655.58 | − | 11514.8i | 0.0864131 | − | 0.601016i | ||||
\(717\) | 6162.63 | − | 13494.3i | 0.320987 | − | 0.702863i | ||||
\(718\) | −5548.80 | + | 1629.27i | −0.288411 | + | 0.0846852i | ||||
\(719\) | −11979.3 | − | 26231.0i | −0.621352 | − | 1.36057i | −0.914532 | − | 0.404514i | \(-0.867441\pi\) |
0.293180 | − | 0.956057i | \(-0.405287\pi\) | |||||||
\(720\) | −1715.63 | − | 1979.95i | −0.0888026 | − | 0.102484i | ||||
\(721\) | 2300.83 | + | 16002.6i | 0.118845 | + | 0.826587i | ||||
\(722\) | −9393.67 | − | 2758.23i | −0.484205 | − | 0.142175i | ||||
\(723\) | 3806.01 | − | 4392.37i | 0.195777 | − | 0.225939i | ||||
\(724\) | −11374.5 | − | 7309.92i | −0.583879 | − | 0.375236i | ||||
\(725\) | 5555.98 | + | 3570.61i | 0.284612 | + | 0.182909i | ||||
\(726\) | −12000.9 | + | 13849.8i | −0.613493 | + | 0.708009i | ||||
\(727\) | 1452.50 | + | 426.492i | 0.0740993 | + | 0.0217575i | 0.318572 | − | 0.947899i | \(-0.396797\pi\) |
−0.244473 | + | 0.969656i | \(0.578615\pi\) | |||||||
\(728\) | −1892.92 | − | 13165.5i | −0.0963685 | − | 0.670258i | ||||
\(729\) | 17669.2 | + | 20391.4i | 0.897689 | + | 1.03599i | ||||
\(730\) | −4433.19 | − | 9707.33i | −0.224767 | − | 0.492170i | ||||
\(731\) | −21210.1 | + | 6227.86i | −1.07317 | + | 0.315110i | ||||
\(732\) | −4356.02 | + | 9538.35i | −0.219950 | + | 0.481622i | ||||
\(733\) | −1785.29 | + | 12416.9i | −0.0899605 | + | 0.625689i | 0.894102 | + | 0.447864i | \(0.147815\pi\) |
−0.984062 | + | 0.177825i | \(0.943094\pi\) | |||||||
\(734\) | −17851.2 | + | 11472.3i | −0.897683 | + | 0.576906i | ||||
\(735\) | −434.973 | −0.0218289 | ||||||||
\(736\) | −1800.00 | − | 3036.28i | −0.0901478 | − | 0.152064i | ||||
\(737\) | 8813.09 | 0.440481 | ||||||||
\(738\) | 12491.9 | − | 8028.08i | 0.623082 | − | 0.400431i | ||||
\(739\) | −4713.39 | + | 32782.4i | −0.234621 | + | 1.63183i | 0.443076 | + | 0.896484i | \(0.353887\pi\) |
−0.677697 | + | 0.735341i | \(0.737022\pi\) | |||||||
\(740\) | −1600.34 | + | 3504.25i | −0.0794994 | + | 0.174079i | ||||
\(741\) | −30002.0 | + | 8809.39i | −1.48738 | + | 0.436735i | ||||
\(742\) | 2351.65 | + | 5149.40i | 0.116350 | + | 0.254772i | ||||
\(743\) | 16003.7 | + | 18469.3i | 0.790201 | + | 0.911940i | 0.997802 | − | 0.0662733i | \(-0.0211109\pi\) |
−0.207601 | + | 0.978214i | \(0.566565\pi\) | |||||||
\(744\) | 1295.15 | + | 9007.99i | 0.0638208 | + | 0.443883i | ||||
\(745\) | 6650.13 | + | 1952.66i | 0.327036 | + | 0.0960265i | ||||
\(746\) | 6937.65 | − | 8006.47i | 0.340490 | − | 0.392946i | ||||
\(747\) | −6322.00 | − | 4062.90i | −0.309652 | − | 0.199001i | ||||
\(748\) | −2298.47 | − | 1477.14i | −0.112353 | − | 0.0722051i | ||||
\(749\) | −15906.2 | + | 18356.7i | −0.775968 | + | 0.895514i | ||||
\(750\) | 1854.14 | + | 544.426i | 0.0902717 | + | 0.0265062i | ||||
\(751\) | −725.900 | − | 5048.75i | −0.0352709 | − | 0.245315i | 0.964557 | − | 0.263875i | \(-0.0850007\pi\) |
−0.999828 | + | 0.0185606i | \(0.994092\pi\) | |||||||
\(752\) | 3688.26 | + | 4256.48i | 0.178852 | + | 0.206407i | ||||
\(753\) | 2371.25 | + | 5192.31i | 0.114758 | + | 0.251286i | ||||
\(754\) | −46275.9 | + | 13587.8i | −2.23511 | + | 0.656286i | ||||
\(755\) | −4068.25 | + | 8908.23i | −0.196105 | + | 0.429409i | ||||
\(756\) | −460.674 | + | 3204.06i | −0.0221621 | + | 0.154141i | ||||
\(757\) | −21512.0 | + | 13824.9i | −1.03285 | + | 0.663771i | −0.943208 | − | 0.332203i | \(-0.892208\pi\) |
−0.0896406 | + | 0.995974i | \(0.528572\pi\) | |||||||
\(758\) | 28310.4 | 1.35657 | ||||||||
\(759\) | 10228.7 | − | 1095.88i | 0.489166 | − | 0.0524084i | ||||
\(760\) | 1772.63 | 0.0846052 | ||||||||
\(761\) | −23229.6 | + | 14928.8i | −1.10653 | + | 0.711126i | −0.960535 | − | 0.278158i | \(-0.910276\pi\) |
−0.145999 | + | 0.989285i | \(0.546640\pi\) | |||||||
\(762\) | −2068.26 | + | 14385.1i | −0.0983269 | + | 0.683879i | ||||
\(763\) | −4432.14 | + | 9705.03i | −0.210294 | + | 0.460479i | ||||
\(764\) | 12471.1 | − | 3661.86i | 0.590563 | − | 0.173405i | ||||
\(765\) | −3850.75 | − | 8431.98i | −0.181993 | − | 0.398508i | ||||
\(766\) | 13423.6 | + | 15491.7i | 0.633179 | + | 0.730727i | ||||
\(767\) | −1027.22 | − | 7144.47i | −0.0483582 | − | 0.336339i | ||||
\(768\) | −1898.64 | − | 557.492i | −0.0892076 | − | 0.0261937i | ||||
\(769\) | −5506.05 | + | 6354.33i | −0.258197 | + | 0.297975i | −0.870017 | − | 0.493022i | \(-0.835892\pi\) |
0.611820 | + | 0.790997i | \(0.290438\pi\) | |||||||
\(770\) | −1848.73 | − | 1188.10i | −0.0865240 | − | 0.0556056i | ||||
\(771\) | −25109.5 | − | 16136.9i | −1.17289 | − | 0.753771i | ||||
\(772\) | 10712.6 | − | 12363.0i | 0.499425 | − | 0.576367i | ||||
\(773\) | 9510.01 | + | 2792.39i | 0.442499 | + | 0.129929i | 0.495389 | − | 0.868671i | \(-0.335025\pi\) |
−0.0528909 | + | 0.998600i | \(0.516844\pi\) | |||||||
\(774\) | −3639.65 | − | 25314.3i | −0.169024 | − | 1.17559i | ||||
\(775\) | −2409.40 | − | 2780.59i | −0.111675 | − | 0.128880i | ||||
\(776\) | −2218.73 | − | 4858.35i | −0.102639 | − | 0.224748i | ||||
\(777\) | 26019.9 | − | 7640.12i | 1.20136 | − | 0.352752i | ||||
\(778\) | 5446.58 | − | 11926.4i | 0.250989 | − | 0.549589i | ||||
\(779\) | −1429.87 | + | 9944.93i | −0.0657641 | + | 0.457400i | ||||
\(780\) | −11871.6 | + | 7629.40i | −0.544962 | + | 0.350226i | ||||
\(781\) | 5500.31 | 0.252006 | ||||||||
\(782\) | −3084.17 | − | 12102.3i | −0.141035 | − | 0.553422i | ||||
\(783\) | 11737.5 | 0.535713 | ||||||||
\(784\) | −151.488 | + | 97.3553i | −0.00690087 | + | 0.00443492i | ||||
\(785\) | −763.150 | + | 5307.83i | −0.0346981 | + | 0.241330i | ||||
\(786\) | 300.793 | − | 658.645i | 0.0136500 | − | 0.0298894i | ||||
\(787\) | 38937.0 | − | 11432.9i | 1.76360 | − | 0.517840i | 0.770743 | − | 0.637146i | \(-0.219885\pi\) |
0.992857 | + | 0.119307i | \(0.0380671\pi\) | |||||||
\(788\) | 1824.05 | + | 3994.12i | 0.0824610 | + | 0.180564i | ||||
\(789\) | −5299.75 | − | 6116.24i | −0.239133 | − | 0.275974i | ||||
\(790\) | 1513.80 | + | 10528.7i | 0.0681752 | + | 0.474169i | ||||
\(791\) | −24759.5 | − | 7270.05i | −1.11295 | − | 0.326793i | ||||
\(792\) | 2069.99 | − | 2388.89i | 0.0928709 | − | 0.107179i | ||||
\(793\) | 26043.7 | + | 16737.2i | 1.16625 | + | 0.749504i | ||||
\(794\) | 588.093 | + | 377.944i | 0.0262854 | + | 0.0168926i | ||||
\(795\) | 3933.14 | − | 4539.09i | 0.175464 | − | 0.202497i | ||||
\(796\) | 7941.02 | + | 2331.69i | 0.353595 | + | 0.103825i | ||||
\(797\) | 1943.55 | + | 13517.7i | 0.0863792 | + | 0.600780i | 0.986329 | + | 0.164787i | \(0.0526937\pi\) |
−0.899950 | + | 0.435993i | \(0.856397\pi\) | |||||||
\(798\) | −8171.48 | − | 9430.39i | −0.362490 | − | 0.418336i | ||||
\(799\) | 8278.34 | + | 18127.0i | 0.366541 | + | 0.802614i | ||||
\(800\) | 767.594 | − | 225.386i | 0.0339232 | − | 0.00996075i | ||||
\(801\) | −17416.6 | + | 38137.1i | −0.768273 | + | 1.68228i | ||||
\(802\) | 1964.13 | − | 13660.9i | 0.0864788 | − | 0.601473i | ||||
\(803\) | 10831.9 | − | 6961.23i | 0.476026 | − | 0.305924i | ||||
\(804\) | 22584.3 | 0.990655 | ||||||||
\(805\) | −2480.69 | − | 9734.21i | −0.108612 | − | 0.426194i | ||||
\(806\) | 26868.2 | 1.17418 | ||||||||
\(807\) | −43461.2 | + | 27930.8i | −1.89580 | + | 1.21835i | ||||
\(808\) | −935.267 | + | 6504.92i | −0.0407210 | + | 0.283221i | ||||
\(809\) | 1643.47 | − | 3598.70i | 0.0714232 | − | 0.156395i | −0.870553 | − | 0.492075i | \(-0.836239\pi\) |
0.941976 | + | 0.335680i | \(0.108966\pi\) | |||||||
\(810\) | −5188.58 | + | 1523.51i | −0.225072 | + | 0.0660871i | ||||
\(811\) | 14732.4 | + | 32259.4i | 0.637884 | + | 1.39677i | 0.901769 | + | 0.432217i | \(0.142269\pi\) |
−0.263885 | + | 0.964554i | \(0.585004\pi\) | |||||||
\(812\) | −12603.9 | − | 14545.7i | −0.544717 | − | 0.628637i | ||||
\(813\) | 497.193 | + | 3458.05i | 0.0214481 | + | 0.149175i | ||||
\(814\) | −4459.79 | − | 1309.51i | −0.192034 | − | 0.0563862i | ||||
\(815\) | 9907.46 | − | 11433.8i | 0.425820 | − | 0.491422i | ||||
\(816\) | −5890.02 | − | 3785.29i | −0.252686 | − | 0.162392i | ||||
\(817\) | 14557.2 | + | 9355.34i | 0.623368 | + | 0.400614i | ||||
\(818\) | −8493.77 | + | 9802.33i | −0.363053 | + | 0.418986i | ||||
\(819\) | 52241.9 | + | 15339.6i | 2.22891 | + | 0.654468i | ||||
\(820\) | 645.309 | + | 4488.23i | 0.0274819 | + | 0.191141i | ||||
\(821\) | 424.624 | + | 490.042i | 0.0180505 | + | 0.0208314i | 0.764703 | − | 0.644383i | \(-0.222886\pi\) |
−0.746653 | + | 0.665214i | \(0.768340\pi\) | |||||||
\(822\) | 7948.29 | + | 17404.3i | 0.337261 | + | 0.738498i | ||||
\(823\) | −22496.9 | + | 6605.68i | −0.952845 | + | 0.279781i | −0.720971 | − | 0.692965i | \(-0.756304\pi\) |
−0.231874 | + | 0.972746i | \(0.574486\pi\) | |||||||
\(824\) | 2949.88 | − | 6459.34i | 0.124714 | − | 0.273085i | ||||
\(825\) | −331.815 | + | 2307.82i | −0.0140028 | + | 0.0973915i | ||||
\(826\) | 2423.17 | − | 1557.27i | 0.102074 | − | 0.0655987i | ||||
\(827\) | 13329.1 | 0.560457 | 0.280228 | − | 0.959933i | \(-0.409590\pi\) | ||||
0.280228 | + | 0.959933i | \(0.409590\pi\) | |||||||
\(828\) | 14366.8 | − | 1539.23i | 0.602994 | − | 0.0646038i | ||||
\(829\) | 27647.2 | 1.15829 | 0.579147 | − | 0.815223i | \(-0.303386\pi\) | ||||
0.579147 | + | 0.815223i | \(0.303386\pi\) | |||||||
\(830\) | 1930.50 | − | 1240.66i | 0.0807332 | − | 0.0518841i | ||||
\(831\) | 7038.61 | − | 48954.6i | 0.293823 | − | 2.04358i | ||||
\(832\) | −2426.90 | + | 5314.17i | −0.101127 | + | 0.221437i | ||||
\(833\) | −611.337 | + | 179.505i | −0.0254281 | + | 0.00746636i | ||||
\(834\) | 4238.51 | + | 9281.04i | 0.175980 | + | 0.385343i | ||||
\(835\) | −2475.89 | − | 2857.33i | −0.102613 | − | 0.118422i | ||||
\(836\) | 304.376 | + | 2116.98i | 0.0125922 | + | 0.0875806i | ||||
\(837\) | −6273.97 | − | 1842.20i | −0.259092 | − | 0.0760763i | ||||
\(838\) | 16212.8 | − | 18710.5i | 0.668330 | − | 0.771294i | ||||
\(839\) | 37497.4 | + | 24098.1i | 1.54297 | + | 0.991607i | 0.987057 | + | 0.160367i | \(0.0512679\pi\) |
0.555914 | + | 0.831240i | \(0.312368\pi\) | |||||||
\(840\) | −4737.52 | − | 3044.62i | −0.194595 | − | 0.125059i | ||||
\(841\) | −29730.7 | + | 34311.1i | −1.21902 | + | 1.40683i | ||||
\(842\) | −12462.7 | − | 3659.37i | −0.510085 | − | 0.149774i | ||||
\(843\) | −6650.80 | − | 46257.3i | −0.271727 | − | 1.88990i | ||||
\(844\) | 13624.2 | + | 15723.1i | 0.555644 | + | 0.641247i | ||||
\(845\) | 12744.0 | + | 27905.6i | 0.518826 | + | 1.13607i | ||||
\(846\) | −22121.3 | + | 6495.39i | −0.898989 | + | 0.263967i | ||||
\(847\) | −8969.30 | + | 19640.0i | −0.363859 | + | 0.796741i | ||||
\(848\) | 353.858 | − | 2461.14i | 0.0143296 | − | 0.0996648i | ||||
\(849\) | 23151.8 | − | 14878.7i | 0.935886 | − | 0.601457i | ||||
\(850\) | 2830.60 | 0.114222 | ||||||||
\(851\) | −10834.8 | − | 18276.4i | −0.436442 | − | 0.736202i | ||||
\(852\) | 14095.0 | 0.566769 | ||||||||
\(853\) | 30664.4 | − | 19706.8i | 1.23087 | − | 0.791030i | 0.246840 | − | 0.969056i | \(-0.420608\pi\) |
0.984026 | + | 0.178026i | \(0.0569713\pi\) | |||||||
\(854\) | −1758.20 | + | 12228.5i | −0.0704501 | + | 0.489991i | ||||
\(855\) | −3014.36 | + | 6600.52i | −0.120572 | + | 0.264015i | ||||
\(856\) | 10236.4 | − | 3005.67i | 0.408730 | − | 0.120014i | ||||
\(857\) | −11752.0 | − | 25733.3i | −0.468427 | − | 1.02571i | −0.985485 | − | 0.169761i | \(-0.945700\pi\) |
0.517059 | − | 0.855950i | \(-0.327027\pi\) | |||||||
\(858\) | −11150.0 | − | 12867.7i | −0.443652 | − | 0.512002i | ||||
\(859\) | −1999.63 | − | 13907.8i | −0.0794256 | − | 0.552417i | −0.990215 | − | 0.139547i | \(-0.955435\pi\) |
0.910790 | − | 0.412870i | \(-0.135474\pi\) | |||||||
\(860\) | 7493.17 | + | 2200.19i | 0.297110 | + | 0.0872395i | ||||
\(861\) | 20902.6 | − | 24122.9i | 0.827363 | − | 0.954828i | ||||
\(862\) | 4968.39 | + | 3192.99i | 0.196315 | + | 0.126164i | ||||
\(863\) | 20960.6 | + | 13470.6i | 0.826776 | + | 0.531336i | 0.884252 | − | 0.467010i | \(-0.154669\pi\) |
−0.0574761 | + | 0.998347i | \(0.518305\pi\) | |||||||
\(864\) | 931.066 | − | 1074.51i | 0.0366615 | − | 0.0423096i | ||||
\(865\) | −14804.6 | − | 4347.02i | −0.581932 | − | 0.170871i | ||||
\(866\) | 3494.77 | + | 24306.6i | 0.137133 | + | 0.953780i | ||||
\(867\) | 8646.10 | + | 9978.13i | 0.338681 | + | 0.390859i | ||||
\(868\) | 4454.14 | + | 9753.21i | 0.174174 | + | 0.381389i | ||||
\(869\) | −12314.1 | + | 3615.74i | −0.480698 | + | 0.141146i | ||||
\(870\) | −8482.77 | + | 18574.7i | −0.330567 | + | 0.723840i | ||||
\(871\) | 9489.09 | − | 65998.0i | 0.369145 | − | 2.56746i | ||||
\(872\) | 3942.26 | − | 2533.54i | 0.153098 | − | 0.0983904i | ||||
\(873\) | 21863.4 | 0.847611 | ||||||||
\(874\) | −5578.66 | + | 8028.48i | −0.215905 | + | 0.310718i | ||||
\(875\) | 2276.73 | 0.0879631 | ||||||||
\(876\) | 27757.7 | − | 17838.8i | 1.07060 | − | 0.688032i | ||||
\(877\) | −3351.43 | + | 23309.7i | −0.129042 | + | 0.897507i | 0.817730 | + | 0.575602i | \(0.195232\pi\) |
−0.946772 | + | 0.321905i | \(0.895677\pi\) | |||||||
\(878\) | −6284.67 | + | 13761.5i | −0.241569 | + | 0.528962i | ||||
\(879\) | 63638.5 | − | 18685.9i | 2.44195 | − | 0.717021i | ||||
\(880\) | 400.973 | + | 878.009i | 0.0153600 | + | 0.0336337i | ||||
\(881\) | 27312.3 | + | 31520.0i | 1.04447 | + | 1.20538i | 0.978219 | + | 0.207574i | \(0.0665567\pi\) |
0.0662458 | + | 0.997803i | \(0.478898\pi\) | |||||||
\(882\) | −104.905 | − | 729.631i | −0.00400492 | − | 0.0278548i | ||||
\(883\) | 786.955 | + | 231.071i | 0.0299922 | + | 0.00880652i | 0.296694 | − | 0.954973i | \(-0.404116\pi\) |
−0.266702 | + | 0.963779i | \(0.585934\pi\) | |||||||
\(884\) | −13536.5 | + | 15622.0i | −0.515025 | + | 0.594371i | ||||
\(885\) | −2570.88 | − | 1652.21i | −0.0976490 | − | 0.0627552i | ||||
\(886\) | −3138.00 | − | 2016.67i | −0.118988 | − | 0.0764687i | ||||
\(887\) | −27474.8 | + | 31707.6i | −1.04004 | + | 1.20027i | −0.0606756 | + | 0.998158i | \(0.519326\pi\) |
−0.979363 | + | 0.202111i | \(0.935220\pi\) | |||||||
\(888\) | −11428.6 | − | 3355.74i | −0.431890 | − | 0.126814i | ||||
\(889\) | 2436.78 | + | 16948.1i | 0.0919312 | + | 0.639396i | ||||
\(890\) | −8383.89 | − | 9675.53i | −0.315763 | − | 0.364409i | ||||
\(891\) | −2710.39 | − | 5934.94i | −0.101910 | − | 0.223151i | ||||
\(892\) | 11164.3 | − | 3278.14i | 0.419069 | − | 0.123050i | ||||
\(893\) | 6480.26 | − | 14189.8i | 0.242837 | − | 0.531739i | ||||
\(894\) | −3049.72 | + | 21211.3i | −0.114092 | + | 0.793526i | ||||
\(895\) | −12233.1 | + | 7861.72i | −0.456879 | + | 0.293618i | ||||
\(896\) | −2331.38 | −0.0869261 | ||||||||
\(897\) | 2806.58 | − | 77778.7i | 0.104469 | − | 2.89516i | ||||
\(898\) | −23902.3 | −0.888228 | ||||||||
\(899\) | 32706.9 | − | 21019.5i | 1.21339 | − | 0.779798i | ||||
\(900\) | −466.053 | + | 3241.47i | −0.0172612 | + | 0.120054i | ||||
\(901\) | 3654.68 | − | 8002.63i | 0.135133 | − | 0.295900i | ||||
\(902\) | −5249.32 | + | 1541.34i | −0.193773 | + | 0.0568969i | ||||
\(903\) | −22837.1 | − | 50006.2i | −0.841605 | − | 1.84286i | ||||
\(904\) | 7422.27 | + | 8565.75i | 0.273076 | + | 0.315147i | ||||
\(905\) | 2405.27 | + | 16729.0i | 0.0883468 | + | 0.614466i | ||||
\(906\) | −29052.9 | − | 8530.70i | −1.06536 | − | 0.312819i | ||||
\(907\) | 16905.7 | − | 19510.2i | 0.618901 | − | 0.714250i | −0.356597 | − | 0.934258i | \(-0.616063\pi\) |
0.975498 | + | 0.220008i | \(0.0706084\pi\) | |||||||
\(908\) | 5945.83 | + | 3821.16i | 0.217312 | + | 0.139658i | ||||
\(909\) | −22631.2 | − | 14544.2i | −0.825775 | − | 0.530693i | ||||
\(910\) | −10887.8 | + | 12565.2i | −0.396624 | + | 0.457728i | ||||
\(911\) | −34864.3 | − | 10237.1i | −1.26795 | − | 0.372305i | −0.422505 | − | 0.906361i | \(-0.638849\pi\) |
−0.845449 | + | 0.534056i | \(0.820667\pi\) | |||||||
\(912\) | 779.990 | + | 5424.95i | 0.0283202 | + | 0.196972i | ||||
\(913\) | 1813.15 | + | 2092.49i | 0.0657247 | + | 0.0758503i | ||||
\(914\) | 2951.46 | + | 6462.80i | 0.106811 | + | 0.233884i | ||||
\(915\) | 12576.5 | − | 3692.79i | 0.454389 | − | 0.133421i | ||||
\(916\) | −3941.93 | + | 8631.61i | −0.142189 | + | 0.311350i | ||||
\(917\) | 121.408 | − | 844.409i | 0.00437212 | − | 0.0304088i | ||||
\(918\) | 4232.01 | − | 2719.75i | 0.152154 | − | 0.0977833i | ||||
\(919\) | 18161.2 | 0.651886 | 0.325943 | − | 0.945389i | \(-0.394318\pi\) | ||||
0.325943 | + | 0.945389i | \(0.394318\pi\) | |||||||
\(920\) | −1394.90 | + | 4185.86i | −0.0499876 | + | 0.150004i | ||||
\(921\) | 29958.6 | 1.07184 | ||||||||
\(922\) | −17662.5 | + | 11351.0i | −0.630894 | + | 0.405451i | ||||
\(923\) | 5922.21 | − | 41189.8i | 0.211194 | − | 1.46888i | ||||
\(924\) | 2822.60 | − | 6180.64i | 0.100494 | − | 0.220052i | ||||
\(925\) | 4620.41 | − | 1356.68i | 0.164236 | − | 0.0482240i | ||||
\(926\) | −8244.96 | − | 18053.9i | −0.292598 | − | 0.640701i | ||||
\(927\) | 19035.6 | + | 21968.2i | 0.674445 | + | 0.778351i | ||||
\(928\) | 1203.08 | + | 8367.59i | 0.0425571 | + | 0.295991i | ||||
\(929\) | 11462.7 | + | 3365.76i | 0.404822 | + | 0.118867i | 0.477803 | − | 0.878467i | \(-0.341433\pi\) |
−0.0729812 | + | 0.997333i | \(0.523251\pi\) | |||||||
\(930\) | 7449.55 | − | 8597.24i | 0.262667 | − | 0.303134i | ||||
\(931\) | 419.580 | + | 269.648i | 0.0147703 | + | 0.00949232i | ||||
\(932\) | 1697.56 | + | 1090.95i | 0.0596623 | + | 0.0383426i | ||||
\(933\) | −2385.27 | + | 2752.75i | −0.0836981 | + | 0.0965928i | ||||
\(934\) | 32376.2 | + | 9506.50i | 1.13424 | + | 0.333043i | ||||
\(935\) | 486.040 | + | 3380.48i | 0.0170002 | + | 0.118239i | ||||
\(936\) | −15660.8 | − | 18073.5i | −0.546890 | − | 0.631145i | ||||
\(937\) | 9242.28 | + | 20237.8i | 0.322233 | + | 0.705591i | 0.999547 | − | 0.0301027i | \(-0.00958343\pi\) |
−0.677314 | + | 0.735694i | \(0.736856\pi\) | |||||||
\(938\) | 25530.5 | − | 7496.42i | 0.888699 | − | 0.260946i | ||||
\(939\) | 17551.1 | − | 38431.6i | 0.609968 | − | 1.33564i | ||||
\(940\) | 1001.92 | − | 6968.50i | 0.0347649 | − | 0.241795i | ||||
\(941\) | −11097.2 | + | 7131.72i | −0.384439 | + | 0.247064i | −0.718558 | − | 0.695467i | \(-0.755198\pi\) |
0.334119 | + | 0.942531i | \(0.391561\pi\) | |||||||
\(942\) | −16579.9 | −0.573463 | ||||||||
\(943\) | −22358.7 | − | 11202.3i | −0.772109 | − | 0.386846i | ||||
\(944\) | −1265.16 | −0.0436200 | ||||||||
\(945\) | 3403.93 | − | 2187.57i | 0.117174 | − | 0.0753035i | ||||
\(946\) | −1340.96 | + | 9326.61i | −0.0460872 | + | 0.320544i | ||||
\(947\) | −21031.3 | + | 46052.2i | −0.721676 | + | 1.58025i | 0.0898651 | + | 0.995954i | \(0.471356\pi\) |
−0.811541 | + | 0.584296i | \(0.801371\pi\) | |||||||
\(948\) | −31555.9 | + | 9265.65i | −1.08111 | + | 0.317441i | ||||
\(949\) | −40467.4 | − | 88611.3i | −1.38422 | − | 3.03103i | ||||
\(950\) | −1451.03 | − | 1674.58i | −0.0495554 | − | 0.0571900i | ||||
\(951\) | −181.200 | − | 1260.28i | −0.00617858 | − | 0.0429729i | ||||
\(952\) | −7914.85 | − | 2324.01i | −0.269456 | − | 0.0791193i | ||||
\(953\) | −20810.5 | + | 24016.6i | −0.707366 | + | 0.816343i | −0.989728 | − | 0.142965i | \(-0.954337\pi\) |
0.282362 | + | 0.959308i | \(0.408882\pi\) | |||||||
\(954\) | 8562.51 | + | 5502.79i | 0.290588 | + | 0.186750i | ||||
\(955\) | −13667.9 | − | 8783.82i | −0.463123 | − | 0.297631i | ||||
\(956\) | −5027.25 | + | 5801.76i | −0.170076 | + | 0.196279i | ||||
\(957\) | −23639.6 | − | 6941.22i | −0.798496 | − | 0.234460i | ||||
\(958\) | 1306.73 | + | 9088.49i | 0.0440694 | + | 0.306509i | ||||
\(959\) | 14762.2 | + | 17036.5i | 0.497076 | + | 0.573657i | ||||
\(960\) | 1027.53 | + | 2249.97i | 0.0345452 | + | 0.0756433i | ||||
\(961\) | 7802.59 | − | 2291.05i | 0.261911 | − | 0.0769040i | ||||
\(962\) | −14608.3 | + | 31987.8i | −0.489596 | + | 1.07207i | ||||
\(963\) | −6215.13 | + | 43227.2i | −0.207975 | + | 1.44650i | ||||
\(964\) | −2530.15 | + | 1626.03i | −0.0845338 | + | 0.0543265i | ||||
\(965\) | −20448.3 | −0.682129 | ||||||||
\(966\) | 28699.1 | − | 11875.1i | 0.955877 | − | 0.395524i | ||||
\(967\) | −6554.06 | −0.217957 | −0.108978 | − | 0.994044i | \(-0.534758\pi\) | ||||
−0.108978 | + | 0.994044i | \(0.534758\pi\) | |||||||
\(968\) | 7977.94 | − | 5127.11i | 0.264898 | − | 0.170239i | ||||
\(969\) | −2759.80 | + | 19194.8i | −0.0914939 | + | 0.636354i | ||||
\(970\) | −2773.42 | + | 6072.93i | −0.0918031 | + | 0.201021i | ||||
\(971\) | 27161.1 | − | 7975.22i | 0.897673 | − | 0.263581i | 0.199830 | − | 0.979831i | \(-0.435961\pi\) |
0.697844 | + | 0.716250i | \(0.254143\pi\) | |||||||
\(972\) | −8938.99 | − | 19573.7i | −0.294978 | − | 0.645911i | ||||
\(973\) | 7872.10 | + | 9084.88i | 0.259371 | + | 0.299330i | ||||
\(974\) | −2868.42 | − | 19950.3i | −0.0943635 | − | 0.656312i | ||||
\(975\) | 16925.2 | + | 4969.68i | 0.555938 | + | 0.163238i | ||||
\(976\) | 3553.49 | − | 4100.94i | 0.116541 | − | 0.134496i | ||||
\(977\) | 23311.9 | + | 14981.6i | 0.763371 | + | 0.490589i | 0.863477 | − | 0.504388i | \(-0.168282\pi\) |
−0.100106 | + | 0.994977i | \(0.531918\pi\) | |||||||
\(978\) | 39351.6 | + | 25289.7i | 1.28663 | + | 0.826867i | ||||
\(979\) | 10115.5 | − | 11674.0i | 0.330229 | − | 0.381104i | ||||
\(980\) | 215.975 | + | 63.4159i | 0.00703985 | + | 0.00206709i | ||||
\(981\) | 2730.01 | + | 18987.6i | 0.0888507 | + | 0.617970i | ||||
\(982\) | −6447.80 | − | 7441.16i | −0.209529 | − | 0.241810i | ||||
\(983\) | −9566.43 | − | 20947.6i | −0.310399 | − | 0.679678i | 0.688566 | − | 0.725174i | \(-0.258241\pi\) |
−0.998965 | + | 0.0454955i | \(0.985513\pi\) | |||||||
\(984\) | −13451.8 | + | 3949.81i | −0.435802 | + | 0.127963i | ||||
\(985\) | 2280.07 | − | 4992.65i | 0.0737553 | − | 0.161502i | ||||
\(986\) | −4256.79 | + | 29606.6i | −0.137489 | + | 0.956255i | ||||
\(987\) | −41691.1 | + | 26793.3i | −1.34452 | + | 0.864072i | ||||
\(988\) | 16181.1 | 0.521040 | ||||||||
\(989\) | −33546.9 | + | 27013.4i | −1.07859 | + | 0.868529i | ||||
\(990\) | −3951.20 | −0.126846 | ||||||||
\(991\) | 19993.3 | − | 12848.9i | 0.640877 | − | 0.411867i | −0.179445 | − | 0.983768i | \(-0.557430\pi\) |
0.820323 | + | 0.571901i | \(0.193794\pi\) | |||||||
\(992\) | 670.223 | − | 4661.50i | 0.0214512 | − | 0.149197i | ||||
\(993\) | −18163.3 | + | 39772.1i | −0.580459 | + | 1.27103i | ||||
\(994\) | 15933.8 | − | 4678.57i | 0.508439 | − | 0.149291i | ||||
\(995\) | −4297.61 | − | 9410.45i | −0.136928 | − | 0.299830i | ||||
\(996\) | 4646.36 | + | 5362.19i | 0.147817 | + | 0.170590i | ||||
\(997\) | −5021.16 | − | 34922.9i | −0.159500 | − | 1.10935i | −0.899557 | − | 0.436803i | \(-0.856111\pi\) |
0.740057 | − | 0.672544i | \(-0.234799\pi\) | |||||||
\(998\) | 7769.96 | + | 2281.47i | 0.246447 | + | 0.0723633i | ||||
\(999\) | 5604.41 | − | 6467.83i | 0.177493 | − | 0.204838i |
(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 | 230.4.g.b.81.1 | yes | 60 | |
23.2 | even | 11 | inner | 230.4.g.b.71.1 | ✓ | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.4.g.b.71.1 | ✓ | 60 | 23.2 | even | 11 | inner | |
230.4.g.b.81.1 | yes | 60 | 1.1 | even | 1 | trivial |