Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), 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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.13 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.4.j.b.161.13 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.41929 | + | 2.79201i | −0.855349 | + | 0.987125i | −0.999997 | − | 0.00235790i | \(-0.999249\pi\) |
0.144648 | + | 0.989483i | \(0.453795\pi\) | |||||||
\(3\) | −2.24694 | + | 4.68522i | −0.432424 | + | 0.901671i | ||||
\(4\) | −0.803837 | − | 5.59081i | −0.100480 | − | 0.698851i | ||||
\(5\) | −11.7964 | + | 3.46373i | −1.05510 | + | 0.309806i | −0.762877 | − | 0.646544i | \(-0.776214\pi\) |
−0.292225 | + | 0.956350i | \(0.594396\pi\) | |||||||
\(6\) | −7.64518 | − | 17.6084i | −0.520189 | − | 1.19810i | ||||
\(7\) | 12.9935 | + | 11.2589i | 0.701581 | + | 0.607924i | 0.930834 | − | 0.365443i | \(-0.119083\pi\) |
−0.229252 | + | 0.973367i | \(0.573628\pi\) | |||||||
\(8\) | −7.30882 | − | 4.69710i | −0.323007 | − | 0.207584i | ||||
\(9\) | −16.9025 | − | 21.0548i | −0.626020 | − | 0.779807i | ||||
\(10\) | 18.8681 | − | 41.3155i | 0.596663 | − | 1.30651i | ||||
\(11\) | −23.3159 | + | 6.84616i | −0.639091 | + | 0.187654i | −0.585195 | − | 0.810893i | \(-0.698982\pi\) |
−0.0538958 | + | 0.998547i | \(0.517164\pi\) | |||||||
\(12\) | 28.0003 | + | 8.79606i | 0.673584 | + | 0.211600i | ||||
\(13\) | −13.3546 | − | 20.7801i | −0.284915 | − | 0.443336i | 0.669067 | − | 0.743203i | \(-0.266694\pi\) |
−0.953981 | + | 0.299867i | \(0.903058\pi\) | |||||||
\(14\) | −62.8700 | + | 9.03934i | −1.20019 | + | 0.172562i | ||||
\(15\) | 10.2774 | − | 63.0515i | 0.176908 | − | 1.08532i | ||||
\(16\) | 74.1526 | − | 21.7732i | 1.15863 | − | 0.340206i | ||||
\(17\) | −7.27025 | − | 1.04530i | −0.103723 | − | 0.0149131i | 0.0902577 | − | 0.995918i | \(-0.471231\pi\) |
−0.193981 | + | 0.981005i | \(0.562140\pi\) | |||||||
\(18\) | 99.6774 | + | 3.74563i | 1.30523 | + | 0.0490474i | ||||
\(19\) | −21.3594 | − | 24.6501i | −0.257905 | − | 0.297638i | 0.612000 | − | 0.790858i | \(-0.290365\pi\) |
−0.869905 | + | 0.493220i | \(0.835820\pi\) | |||||||
\(20\) | 28.8475 | + | 63.1672i | 0.322525 | + | 0.706230i | ||||
\(21\) | −81.9460 | + | 35.5792i | −0.851527 | + | 0.369715i | ||||
\(22\) | 37.2933 | − | 81.6610i | 0.361408 | − | 0.791372i | ||||
\(23\) | 13.4233 | − | 6.13020i | 0.121693 | − | 0.0555754i | −0.353638 | − | 0.935382i | \(-0.615056\pi\) |
0.475331 | + | 0.879807i | \(0.342328\pi\) | |||||||
\(24\) | 38.4294 | − | 23.6893i | 0.326849 | − | 0.201482i | ||||
\(25\) | 22.0009 | − | 14.1391i | 0.176007 | − | 0.113113i | ||||
\(26\) | 90.3269 | + | 12.9870i | 0.681329 | + | 0.0979603i | ||||
\(27\) | 136.625 | − | 31.8832i | 0.973835 | − | 0.227257i | ||||
\(28\) | 52.5018 | − | 81.6944i | 0.354354 | − | 0.551385i | ||||
\(29\) | 97.3470i | 0.623341i | 0.950190 | + | 0.311670i | \(0.100888\pi\) | ||||
−0.950190 | + | 0.311670i | \(0.899112\pi\) | |||||||
\(30\) | 151.176 | + | 181.235i | 0.920030 | + | 1.10296i | ||||
\(31\) | −47.4784 | + | 73.8778i | −0.275076 | + | 0.428027i | −0.951114 | − | 0.308840i | \(-0.900059\pi\) |
0.676038 | + | 0.736867i | \(0.263696\pi\) | |||||||
\(32\) | −89.7328 | + | 196.487i | −0.495708 | + | 1.08545i | ||||
\(33\) | 20.3136 | − | 124.623i | 0.107156 | − | 0.657395i | ||||
\(34\) | 20.5074 | − | 17.7697i | 0.103441 | − | 0.0896319i | ||||
\(35\) | −192.274 | − | 87.8086i | −0.928578 | − | 0.424067i | ||||
\(36\) | −104.127 | + | 111.424i | −0.482067 | + | 0.515850i | ||||
\(37\) | 24.8791 | 0.110543 | 0.0552715 | − | 0.998471i | \(-0.482398\pi\) | ||||
0.0552715 | + | 0.998471i | \(0.482398\pi\) | |||||||
\(38\) | 120.498 | 0.514405 | ||||||||
\(39\) | 127.366 | − | 15.8774i | 0.522947 | − | 0.0651903i | ||||
\(40\) | 102.487 | + | 30.0930i | 0.405117 | + | 0.118953i | ||||
\(41\) | −50.5589 | + | 351.645i | −0.192585 | + | 1.33946i | 0.632549 | + | 0.774520i | \(0.282009\pi\) |
−0.825134 | + | 0.564937i | \(0.808901\pi\) | |||||||
\(42\) | 98.9137 | − | 314.870i | 0.363398 | − | 1.15680i | ||||
\(43\) | 436.338 | + | 62.7360i | 1.54746 | + | 0.222492i | 0.862489 | − | 0.506075i | \(-0.168904\pi\) |
0.684975 | + | 0.728567i | \(0.259813\pi\) | |||||||
\(44\) | 57.0177 | + | 124.851i | 0.195358 | + | 0.427774i | ||||
\(45\) | 272.317 | + | 189.825i | 0.902103 | + | 0.628831i | ||||
\(46\) | −15.3592 | + | 52.3086i | −0.0492302 | + | 0.167663i | ||||
\(47\) | 13.2037 | − | 6.02994i | 0.0409779 | − | 0.0187140i | −0.394821 | − | 0.918758i | \(-0.629193\pi\) |
0.435799 | + | 0.900044i | \(0.356466\pi\) | |||||||
\(48\) | −64.6043 | + | 396.344i | −0.194267 | + | 1.19182i | ||||
\(49\) | −6.74669 | − | 46.9242i | −0.0196696 | − | 0.136805i | ||||
\(50\) | −13.7500 | + | 95.6332i | −0.0388908 | + | 0.270492i | ||||
\(51\) | 21.2333 | − | 31.7140i | 0.0582991 | − | 0.0870754i | ||||
\(52\) | −105.443 | + | 91.3667i | −0.281198 | + | 0.243659i | ||||
\(53\) | −59.8445 | − | 416.228i | −0.155100 | − | 1.07874i | −0.907505 | − | 0.420041i | \(-0.862016\pi\) |
0.752406 | − | 0.658700i | \(-0.228893\pi\) | |||||||
\(54\) | −241.518 | + | 458.594i | −0.608638 | + | 1.15568i | ||||
\(55\) | 251.330 | − | 161.520i | 0.616170 | − | 0.395988i | ||||
\(56\) | −42.0828 | − | 143.321i | −0.100421 | − | 0.342001i | ||||
\(57\) | 163.485 | − | 44.6864i | 0.379896 | − | 0.103840i | ||||
\(58\) | −271.794 | − | 235.511i | −0.615315 | − | 0.533174i | ||||
\(59\) | 453.179 | − | 705.161i | 0.999982 | − | 1.55600i | 0.179957 | − | 0.983675i | \(-0.442404\pi\) |
0.820025 | − | 0.572328i | \(-0.193959\pi\) | |||||||
\(60\) | −360.770 | − | 6.77603i | −0.776254 | − | 0.0145797i | ||||
\(61\) | −26.3676 | + | 89.8000i | −0.0553448 | + | 0.188487i | −0.982526 | − | 0.186127i | \(-0.940406\pi\) |
0.927181 | + | 0.374614i | \(0.122225\pi\) | |||||||
\(62\) | −91.4036 | − | 311.292i | −0.187230 | − | 0.637647i | ||||
\(63\) | 17.4314 | − | 463.879i | 0.0348595 | − | 0.927671i | ||||
\(64\) | −74.6688 | − | 163.502i | −0.145837 | − | 0.319339i | ||||
\(65\) | 229.513 | + | 198.874i | 0.437962 | + | 0.379496i | ||||
\(66\) | 298.804 | + | 358.215i | 0.557276 | + | 0.668079i | ||||
\(67\) | −538.114 | − | 105.813i | −0.981210 | − | 0.192941i | ||||
\(68\) | 41.4869i | 0.0739856i | ||||||||
\(69\) | −1.43993 | + | 76.6651i | −0.00251228 | + | 0.133759i | ||||
\(70\) | 710.330 | − | 324.397i | 1.21287 | − | 0.553897i | ||||
\(71\) | −325.242 | + | 46.7627i | −0.543649 | + | 0.0781650i | −0.408668 | − | 0.912683i | \(-0.634007\pi\) |
−0.134981 | + | 0.990848i | \(0.543097\pi\) | |||||||
\(72\) | 24.6412 | + | 233.279i | 0.0403333 | + | 0.381835i | ||||
\(73\) | −482.854 | − | 141.779i | −0.774161 | − | 0.227314i | −0.129291 | − | 0.991607i | \(-0.541270\pi\) |
−0.644870 | + | 0.764292i | \(0.723088\pi\) | |||||||
\(74\) | −60.1897 | + | 69.4627i | −0.0945529 | + | 0.109120i | ||||
\(75\) | 16.8101 | + | 134.848i | 0.0258809 | + | 0.207613i | ||||
\(76\) | −120.645 | + | 139.231i | −0.182091 | + | 0.210144i | ||||
\(77\) | −380.034 | − | 173.556i | −0.562454 | − | 0.256864i | ||||
\(78\) | −263.806 | + | 394.020i | −0.382951 | + | 0.571974i | ||||
\(79\) | −191.131 | − | 297.405i | −0.272201 | − | 0.423553i | 0.678061 | − | 0.735006i | \(-0.262821\pi\) |
−0.950262 | + | 0.311453i | \(0.899184\pi\) | |||||||
\(80\) | −799.317 | + | 513.690i | −1.11708 | + | 0.717903i | ||||
\(81\) | −157.609 | + | 711.759i | −0.216199 | + | 0.976349i | ||||
\(82\) | −859.480 | − | 991.893i | −1.15748 | − | 1.33581i | ||||
\(83\) | −304.064 | − | 1035.55i | −0.402112 | − | 1.36947i | −0.873191 | − | 0.487378i | \(-0.837954\pi\) |
0.471079 | − | 0.882091i | \(-0.343865\pi\) | |||||||
\(84\) | 264.788 | + | 429.545i | 0.343937 | + | 0.557942i | ||||
\(85\) | 89.3834 | − | 12.8514i | 0.114059 | − | 0.0163992i | ||||
\(86\) | −1230.79 | + | 1066.48i | −1.54325 | + | 1.33723i | ||||
\(87\) | −456.092 | − | 218.733i | −0.562048 | − | 0.269547i | ||||
\(88\) | 202.569 | + | 59.4795i | 0.245385 | + | 0.0720516i | ||||
\(89\) | 56.3631 | + | 25.7402i | 0.0671289 | + | 0.0306568i | 0.448697 | − | 0.893684i | \(-0.351888\pi\) |
−0.381568 | + | 0.924341i | \(0.624616\pi\) | |||||||
\(90\) | −1188.81 | + | 301.071i | −1.39235 | + | 0.352619i | ||||
\(91\) | 60.4391 | − | 420.363i | 0.0696235 | − | 0.484242i | ||||
\(92\) | −45.0629 | − | 70.1192i | −0.0510667 | − | 0.0794613i | ||||
\(93\) | −239.452 | − | 388.445i | −0.266990 | − | 0.433117i | ||||
\(94\) | −15.1080 | + | 51.4532i | −0.0165774 | + | 0.0564573i | ||||
\(95\) | 337.346 | + | 216.799i | 0.364326 | + | 0.234138i | ||||
\(96\) | −718.962 | − | 861.913i | −0.764362 | − | 0.916339i | ||||
\(97\) | − | 881.713i | − | 0.922932i | −0.887158 | − | 0.461466i | \(-0.847324\pi\) | ||
0.887158 | − | 0.461466i | \(-0.152676\pi\) | |||||||
\(98\) | 147.335 | + | 94.6866i | 0.151868 | + | 0.0975999i | ||||
\(99\) | 538.242 | + | 375.193i | 0.546417 | + | 0.380893i | ||||
\(100\) | −96.7341 | − | 111.637i | −0.0967341 | − | 0.111637i | ||||
\(101\) | 65.6821 | + | 75.8012i | 0.0647091 | + | 0.0746783i | 0.787181 | − | 0.616722i | \(-0.211540\pi\) |
−0.722472 | + | 0.691400i | \(0.756994\pi\) | |||||||
\(102\) | 37.1763 | + | 136.009i | 0.0360882 | + | 0.132028i | ||||
\(103\) | −402.153 | − | 258.448i | −0.384712 | − | 0.247239i | 0.333962 | − | 0.942586i | \(-0.391614\pi\) |
−0.718674 | + | 0.695347i | \(0.755251\pi\) | |||||||
\(104\) | 214.606i | 0.202345i | ||||||||
\(105\) | 843.430 | − | 703.545i | 0.783908 | − | 0.653895i | ||||
\(106\) | 1306.89 | + | 839.890i | 1.19752 | + | 0.769597i | ||||
\(107\) | 379.179 | − | 1291.37i | 0.342585 | − | 1.16674i | −0.590486 | − | 0.807048i | \(-0.701064\pi\) |
0.933072 | − | 0.359691i | \(-0.117118\pi\) | |||||||
\(108\) | −288.078 | − | 738.217i | −0.256669 | − | 0.657731i | ||||
\(109\) | −418.243 | − | 650.799i | −0.367527 | − | 0.571883i | 0.607403 | − | 0.794394i | \(-0.292211\pi\) |
−0.974930 | + | 0.222510i | \(0.928575\pi\) | |||||||
\(110\) | −157.075 | + | 1092.48i | −0.136150 | + | 0.946945i | ||||
\(111\) | −55.9017 | + | 116.564i | −0.0478014 | + | 0.0996734i | ||||
\(112\) | 1208.64 | + | 551.968i | 1.01970 | + | 0.465679i | ||||
\(113\) | −195.869 | − | 57.5122i | −0.163060 | − | 0.0478787i | 0.199184 | − | 0.979962i | \(-0.436171\pi\) |
−0.362244 | + | 0.932083i | \(0.617989\pi\) | |||||||
\(114\) | −270.752 | + | 564.560i | −0.222441 | + | 0.463824i | ||||
\(115\) | −137.113 | + | 118.809i | −0.111181 | + | 0.0963390i | ||||
\(116\) | 544.249 | − | 78.2512i | 0.435623 | − | 0.0626331i | ||||
\(117\) | −211.795 | + | 632.414i | −0.167354 | + | 0.499715i | ||||
\(118\) | 872.444 | + | 2971.27i | 0.680636 | + | 2.31803i | ||||
\(119\) | −82.6968 | − | 95.4372i | −0.0637042 | − | 0.0735186i | ||||
\(120\) | −371.275 | + | 412.558i | −0.282438 | + | 0.313844i | ||||
\(121\) | −622.949 | + | 400.345i | −0.468031 | + | 0.300785i | ||||
\(122\) | −186.932 | − | 290.871i | −0.138721 | − | 0.215854i | ||||
\(123\) | −1533.93 | − | 1027.00i | −1.12447 | − | 0.752861i | ||||
\(124\) | 451.202 | + | 206.057i | 0.326767 | + | 0.149229i | ||||
\(125\) | 795.834 | − | 918.441i | 0.569452 | − | 0.657183i | ||||
\(126\) | 1252.98 | + | 1170.93i | 0.885910 | + | 0.827893i | ||||
\(127\) | 779.876 | − | 900.025i | 0.544904 | − | 0.628853i | −0.414784 | − | 0.909920i | \(-0.636143\pi\) |
0.959688 | + | 0.281067i | \(0.0906883\pi\) | |||||||
\(128\) | −1020.92 | − | 299.768i | −0.704978 | − | 0.207000i | ||||
\(129\) | −1274.36 | + | 1903.38i | −0.869774 | + | 1.29909i | ||||
\(130\) | −1110.52 | + | 159.668i | −0.749220 | + | 0.107722i | ||||
\(131\) | 1903.38 | − | 869.246i | 1.26946 | − | 0.579743i | 0.337166 | − | 0.941445i | \(-0.390531\pi\) |
0.932294 | + | 0.361702i | \(0.117804\pi\) | |||||||
\(132\) | −713.072 | − | 13.3930i | −0.470189 | − | 0.00883114i | ||||
\(133\) | − | 560.775i | − | 0.365604i | ||||||
\(134\) | 1597.28 | − | 1246.43i | 1.02973 | − | 0.803545i | ||||
\(135\) | −1501.25 | + | 849.341i | −0.957090 | + | 0.541479i | ||||
\(136\) | 48.2271 | + | 41.7890i | 0.0304076 | + | 0.0263484i | ||||
\(137\) | 834.578 | + | 1827.47i | 0.520458 | + | 1.13964i | 0.969266 | + | 0.246016i | \(0.0791217\pi\) |
−0.448807 | + | 0.893629i | \(0.648151\pi\) | |||||||
\(138\) | −210.566 | − | 189.496i | −0.129888 | − | 0.116891i | ||||
\(139\) | 416.324 | + | 1417.87i | 0.254044 | + | 0.865196i | 0.983460 | + | 0.181125i | \(0.0579739\pi\) |
−0.729416 | + | 0.684071i | \(0.760208\pi\) | |||||||
\(140\) | −336.364 | + | 1145.55i | −0.203057 | + | 0.691548i | ||||
\(141\) | −1.41638 | + | 75.4113i | −0.000845964 | + | 0.0450410i | ||||
\(142\) | 656.293 | − | 1021.21i | 0.387851 | − | 0.603508i | ||||
\(143\) | 453.637 | + | 393.079i | 0.265280 | + | 0.229866i | ||||
\(144\) | −1711.80 | − | 1193.25i | −0.990623 | − | 0.690536i | ||||
\(145\) | −337.184 | − | 1148.34i | −0.193115 | − | 0.657688i | ||||
\(146\) | 1564.01 | − | 1005.13i | 0.886565 | − | 0.569761i | ||||
\(147\) | 235.010 | + | 73.8262i | 0.131859 | + | 0.0414223i | ||||
\(148\) | −19.9987 | − | 139.094i | −0.0111073 | − | 0.0772532i | ||||
\(149\) | 1339.25 | − | 1160.46i | 0.736345 | − | 0.638047i | −0.203725 | − | 0.979028i | \(-0.565305\pi\) |
0.940070 | + | 0.340981i | \(0.110759\pi\) | |||||||
\(150\) | −417.167 | − | 279.304i | −0.227077 | − | 0.152034i | ||||
\(151\) | −401.572 | + | 2793.00i | −0.216420 | + | 1.50524i | 0.534683 | + | 0.845053i | \(0.320431\pi\) |
−0.751104 | + | 0.660184i | \(0.770478\pi\) | |||||||
\(152\) | 40.3285 | + | 280.491i | 0.0215202 | + | 0.149676i | ||||
\(153\) | 100.877 | + | 170.742i | 0.0533034 | + | 0.0902200i | ||||
\(154\) | 1403.98 | − | 641.178i | 0.734651 | − | 0.335504i | ||||
\(155\) | 304.181 | − | 1035.94i | 0.157628 | − | 0.536832i | ||||
\(156\) | −191.149 | − | 699.318i | −0.0981038 | − | 0.358912i | ||||
\(157\) | −1397.26 | − | 3059.58i | −0.710279 | − | 1.55529i | −0.827046 | − | 0.562135i | \(-0.809980\pi\) |
0.116766 | − | 0.993159i | \(-0.462747\pi\) | |||||||
\(158\) | 1292.76 | + | 185.871i | 0.650926 | + | 0.0935891i | ||||
\(159\) | 2084.58 | + | 654.854i | 1.03974 | + | 0.326624i | ||||
\(160\) | 377.943 | − | 2628.65i | 0.186744 | − | 1.29883i | ||||
\(161\) | 243.434 | + | 71.4787i | 0.119163 | + | 0.0349895i | ||||
\(162\) | −1605.94 | − | 2162.00i | −0.778854 | − | 1.04853i | ||||
\(163\) | −2529.54 | −1.21552 | −0.607758 | − | 0.794123i | \(-0.707931\pi\) | ||||
−0.607758 | + | 0.794123i | \(0.707931\pi\) | |||||||
\(164\) | 2006.62 | 0.955432 | ||||||||
\(165\) | 192.033 | + | 1540.46i | 0.0906046 | + | 0.726817i | ||||
\(166\) | 3626.87 | + | 1656.34i | 1.69578 | + | 0.774438i | ||||
\(167\) | −1793.07 | + | 1553.71i | −0.830852 | + | 0.719937i | −0.962477 | − | 0.271362i | \(-0.912526\pi\) |
0.131625 | + | 0.991300i | \(0.457980\pi\) | |||||||
\(168\) | 766.047 | + | 124.866i | 0.351797 | + | 0.0573431i | ||||
\(169\) | 659.198 | − | 1443.44i | 0.300045 | − | 0.657006i | ||||
\(170\) | −180.363 | + | 280.651i | −0.0813720 | + | 0.126617i | ||||
\(171\) | −157.974 | + | 866.368i | −0.0706468 | + | 0.387443i | ||||
\(172\) | − | 2489.91i | − | 1.10380i | ||||||
\(173\) | 484.273 | − | 753.543i | 0.212824 | − | 0.331161i | −0.718385 | − | 0.695645i | \(-0.755118\pi\) |
0.931209 | + | 0.364485i | \(0.118755\pi\) | |||||||
\(174\) | 1714.12 | − | 744.236i | 0.746824 | − | 0.324255i | ||||
\(175\) | 445.058 | + | 63.9897i | 0.192247 | + | 0.0276410i | ||||
\(176\) | −1579.87 | + | 1015.32i | −0.676631 | + | 0.434845i | ||||
\(177\) | 2285.57 | + | 3707.70i | 0.970586 | + | 1.57451i | ||||
\(178\) | −208.226 | + | 95.0934i | −0.0876807 | + | 0.0400424i | ||||
\(179\) | −1118.08 | + | 2448.26i | −0.466868 | + | 1.02230i | 0.519000 | + | 0.854774i | \(0.326304\pi\) |
−0.985868 | + | 0.167524i | \(0.946423\pi\) | |||||||
\(180\) | 842.376 | − | 1675.06i | 0.348817 | − | 0.693621i | ||||
\(181\) | 914.931 | + | 2003.42i | 0.375725 | + | 0.822724i | 0.999165 | + | 0.0408523i | \(0.0130073\pi\) |
−0.623440 | + | 0.781871i | \(0.714265\pi\) | |||||||
\(182\) | 1027.44 | + | 1185.73i | 0.418455 | + | 0.482923i | ||||
\(183\) | −361.486 | − | 325.313i | −0.146021 | − | 0.131409i | ||||
\(184\) | −126.902 | − | 18.2458i | −0.0508444 | − | 0.00731032i | ||||
\(185\) | −293.483 | + | 86.1745i | −0.116634 | + | 0.0342469i | ||||
\(186\) | 1663.85 | + | 271.208i | 0.655910 | + | 0.106914i | ||||
\(187\) | 176.669 | − | 25.4011i | 0.0690871 | − | 0.00993322i | ||||
\(188\) | −44.3259 | − | 68.9725i | −0.0171957 | − | 0.0267571i | ||||
\(189\) | 2134.21 | + | 1123.98i | 0.821379 | + | 0.432578i | ||||
\(190\) | −1421.44 | + | 417.374i | −0.542749 | + | 0.159366i | ||||
\(191\) | 1920.19 | − | 4204.63i | 0.727435 | − | 1.59286i | −0.0757463 | − | 0.997127i | \(-0.524134\pi\) |
0.803182 | − | 0.595734i | \(-0.203139\pi\) | |||||||
\(192\) | 933.818 | + | 17.5391i | 0.351003 | + | 0.00659257i | ||||
\(193\) | 2107.84 | + | 1354.63i | 0.786145 | + | 0.505225i | 0.871068 | − | 0.491163i | \(-0.163428\pi\) |
−0.0849228 | + | 0.996388i | \(0.527064\pi\) | |||||||
\(194\) | 2461.75 | + | 2133.12i | 0.911050 | + | 0.789429i | ||||
\(195\) | −1447.47 | + | 628.459i | −0.531566 | + | 0.230794i | ||||
\(196\) | −256.921 | + | 75.4389i | −0.0936302 | + | 0.0274923i | ||||
\(197\) | −23.6383 | − | 164.408i | −0.00854905 | − | 0.0594599i | 0.985100 | − | 0.171981i | \(-0.0550166\pi\) |
−0.993649 | + | 0.112521i | \(0.964108\pi\) | |||||||
\(198\) | −2349.71 | + | 595.075i | −0.843366 | + | 0.213586i | ||||
\(199\) | −2578.57 | + | 2975.83i | −0.918543 | + | 1.06006i | 0.0794564 | + | 0.996838i | \(0.474682\pi\) |
−0.998000 | + | 0.0632172i | \(0.979864\pi\) | |||||||
\(200\) | −227.213 | −0.0803319 | ||||||||
\(201\) | 1704.86 | − | 2283.43i | 0.598268 | − | 0.801296i | ||||
\(202\) | −370.542 | −0.129066 | ||||||||
\(203\) | −1096.02 | + | 1264.88i | −0.378944 | + | 0.437324i | ||||
\(204\) | −194.375 | − | 93.2184i | −0.0667106 | − | 0.0319931i | ||||
\(205\) | −621.592 | − | 4323.27i | −0.211775 | − | 1.47293i | ||||
\(206\) | 1694.51 | − | 497.554i | 0.573119 | − | 0.168283i | ||||
\(207\) | −355.957 | − | 179.008i | −0.119520 | − | 0.0601059i | ||||
\(208\) | −1442.72 | − | 1250.13i | −0.480937 | − | 0.416734i | ||||
\(209\) | 666.773 | + | 428.509i | 0.220678 | + | 0.141821i | ||||
\(210\) | −76.1981 | + | 4056.95i | −0.0250389 | + | 1.33312i | ||||
\(211\) | −377.818 | + | 827.306i | −0.123270 | + | 0.269925i | −0.961199 | − | 0.275855i | \(-0.911039\pi\) |
0.837929 | + | 0.545780i | \(0.183766\pi\) | |||||||
\(212\) | −2278.95 | + | 669.159i | −0.738295 | + | 0.216783i | ||||
\(213\) | 511.705 | − | 1628.90i | 0.164608 | − | 0.523993i | ||||
\(214\) | 2688.16 | + | 4182.86i | 0.858687 | + | 1.33614i | ||||
\(215\) | −5364.52 | + | 771.302i | −1.70166 | + | 0.244662i | ||||
\(216\) | −1148.33 | − | 408.713i | −0.361731 | − | 0.128747i | ||||
\(217\) | −1448.69 | + | 425.374i | −0.453196 | + | 0.133070i | ||||
\(218\) | 2828.89 | + | 406.733i | 0.878884 | + | 0.126364i | ||||
\(219\) | 1749.21 | − | 1943.71i | 0.539728 | − | 0.599742i | ||||
\(220\) | −1105.06 | − | 1275.30i | −0.338649 | − | 0.390822i | ||||
\(221\) | 75.3695 | + | 165.036i | 0.0229407 | + | 0.0502332i | ||||
\(222\) | −190.205 | − | 438.080i | −0.0575033 | − | 0.132442i | ||||
\(223\) | 1401.02 | − | 3067.81i | 0.420715 | − | 0.921237i | −0.574028 | − | 0.818835i | \(-0.694620\pi\) |
0.994743 | − | 0.102402i | \(-0.0326527\pi\) | |||||||
\(224\) | −3378.17 | + | 1542.76i | −1.00765 | + | 0.460178i | ||||
\(225\) | −669.566 | − | 224.237i | −0.198390 | − | 0.0664406i | ||||
\(226\) | 634.438 | − | 407.729i | 0.186735 | − | 0.120008i | ||||
\(227\) | −5635.12 | − | 810.207i | −1.64765 | − | 0.236896i | −0.744933 | − | 0.667139i | \(-0.767519\pi\) |
−0.902713 | + | 0.430243i | \(0.858428\pi\) | |||||||
\(228\) | −381.248 | − | 878.091i | −0.110740 | − | 0.255057i | ||||
\(229\) | 1658.10 | − | 2580.05i | 0.478473 | − | 0.744519i | −0.515171 | − | 0.857087i | \(-0.672272\pi\) |
0.993644 | + | 0.112569i | \(0.0359079\pi\) | |||||||
\(230\) | − | 670.254i | − | 0.192153i | ||||||
\(231\) | 1667.06 | − | 1390.57i | 0.474825 | − | 0.396074i | ||||
\(232\) | 457.248 | − | 711.492i | 0.129396 | − | 0.201344i | ||||
\(233\) | −141.334 | + | 309.477i | −0.0397385 | + | 0.0870151i | −0.928460 | − | 0.371432i | \(-0.878867\pi\) |
0.888722 | + | 0.458447i | \(0.151594\pi\) | |||||||
\(234\) | −1253.31 | − | 2121.33i | −0.350135 | − | 0.592631i | ||||
\(235\) | −134.870 | + | 116.866i | −0.0374382 | + | 0.0324404i | ||||
\(236\) | −4306.70 | − | 1966.81i | −1.18789 | − | 0.542492i | ||||
\(237\) | 1822.87 | − | 227.238i | 0.499611 | − | 0.0622813i | ||||
\(238\) | 466.530 | 0.127061 | ||||||||
\(239\) | −4309.71 | −1.16641 | −0.583205 | − | 0.812325i | \(-0.698201\pi\) | ||||
−0.583205 | + | 0.812325i | \(0.698201\pi\) | |||||||
\(240\) | −610.732 | − | 4899.20i | −0.164261 | − | 1.31768i | ||||
\(241\) | −5385.37 | − | 1581.29i | −1.43943 | − | 0.422654i | −0.533397 | − | 0.845865i | \(-0.679085\pi\) |
−0.906031 | + | 0.423211i | \(0.860903\pi\) | |||||||
\(242\) | 389.327 | − | 2707.83i | 0.103417 | − | 0.719281i | ||||
\(243\) | −2980.61 | − | 2337.71i | −0.786856 | − | 0.617136i | ||||
\(244\) | 523.250 | + | 75.2320i | 0.137285 | + | 0.0197387i | ||||
\(245\) | 242.120 | + | 530.168i | 0.0631366 | + | 0.138250i | ||||
\(246\) | 6578.43 | − | 1798.13i | 1.70498 | − | 0.466035i | ||||
\(247\) | −226.986 | + | 773.043i | −0.0584727 | + | 0.199140i | ||||
\(248\) | 694.022 | − | 316.949i | 0.177703 | − | 0.0811544i | ||||
\(249\) | 5534.97 | + | 902.203i | 1.40869 | + | 0.229618i | ||||
\(250\) | 638.944 | + | 4443.95i | 0.161642 | + | 1.12424i | ||||
\(251\) | 307.907 | − | 2141.54i | 0.0774299 | − | 0.538537i | −0.913777 | − | 0.406216i | \(-0.866848\pi\) |
0.991207 | − | 0.132321i | \(-0.0422428\pi\) | |||||||
\(252\) | −2607.47 | + | 275.428i | −0.651807 | + | 0.0688504i | ||||
\(253\) | −271.007 | + | 234.829i | −0.0673441 | + | 0.0583540i | ||||
\(254\) | 626.133 | + | 4354.85i | 0.154673 | + | 1.07578i | ||||
\(255\) | −140.627 | + | 447.657i | −0.0345350 | + | 0.109935i | ||||
\(256\) | 4516.54 | − | 2902.61i | 1.10267 | − | 0.708644i | ||||
\(257\) | 738.071 | + | 2513.64i | 0.179143 | + | 0.610103i | 0.999280 | + | 0.0379371i | \(0.0120786\pi\) |
−0.820138 | + | 0.572166i | \(0.806103\pi\) | |||||||
\(258\) | −2231.21 | − | 8162.84i | −0.538406 | − | 1.96975i | ||||
\(259\) | 323.265 | + | 280.111i | 0.0775550 | + | 0.0672018i | ||||
\(260\) | 927.375 | − | 1443.02i | 0.221205 | − | 0.344202i | ||||
\(261\) | 2049.62 | − | 1645.41i | 0.486086 | − | 0.390224i | ||||
\(262\) | −2177.89 | + | 7417.22i | −0.513552 | + | 1.74900i | ||||
\(263\) | −1386.62 | − | 4722.39i | −0.325105 | − | 1.10721i | −0.946230 | − | 0.323494i | \(-0.895142\pi\) |
0.621125 | − | 0.783711i | \(-0.286676\pi\) | |||||||
\(264\) | −733.834 | + | 815.431i | −0.171077 | + | 0.190100i | ||||
\(265\) | 2147.65 | + | 4702.70i | 0.497846 | + | 1.09013i | ||||
\(266\) | 1565.69 | + | 1356.68i | 0.360897 | + | 0.312719i | ||||
\(267\) | −247.243 | + | 206.237i | −0.0566704 | + | 0.0472715i | ||||
\(268\) | −159.022 | + | 3093.55i | −0.0362456 | + | 0.705107i | ||||
\(269\) | − | 572.808i | − | 0.129832i | −0.997891 | − | 0.0649158i | \(-0.979322\pi\) | ||
0.997891 | − | 0.0649158i | \(-0.0206779\pi\) | |||||||
\(270\) | 1260.59 | − | 6246.31i | 0.284138 | − | 1.40792i | ||||
\(271\) | −4864.03 | + | 2221.33i | −1.09029 | + | 0.497920i | −0.877695 | − | 0.479220i | \(-0.840919\pi\) |
−0.212597 | + | 0.977140i | \(0.568192\pi\) | |||||||
\(272\) | −561.868 | + | 80.7844i | −0.125251 | + | 0.0180083i | ||||
\(273\) | 1833.69 | + | 1227.70i | 0.406520 | + | 0.272175i | ||||
\(274\) | −7121.41 | − | 2091.03i | −1.57015 | − | 0.461036i | ||||
\(275\) | −416.171 | + | 480.286i | −0.0912583 | + | 0.105318i | ||||
\(276\) | 429.778 | − | 53.5759i | 0.0937303 | − | 0.0116844i | ||||
\(277\) | −4671.54 | + | 5391.25i | −1.01331 | + | 1.16942i | −0.0278285 | + | 0.999613i | \(0.508859\pi\) |
−0.985478 | + | 0.169805i | \(0.945686\pi\) | |||||||
\(278\) | −4965.92 | − | 2267.86i | −1.07135 | − | 0.489271i | ||||
\(279\) | 2357.99 | − | 249.074i | 0.505982 | − | 0.0534469i | ||||
\(280\) | 992.852 | + | 1544.91i | 0.211908 | + | 0.329735i | ||||
\(281\) | 2711.25 | − | 1742.42i | 0.575586 | − | 0.369907i | −0.220227 | − | 0.975449i | \(-0.570680\pi\) |
0.795814 | + | 0.605542i | \(0.207044\pi\) | |||||||
\(282\) | −207.123 | − | 186.396i | −0.0437375 | − | 0.0393608i | ||||
\(283\) | −1694.81 | − | 1955.92i | −0.355994 | − | 0.410839i | 0.549300 | − | 0.835625i | \(-0.314895\pi\) |
−0.905293 | + | 0.424787i | \(0.860349\pi\) | |||||||
\(284\) | 522.883 | + | 1780.78i | 0.109251 | + | 0.372076i | ||||
\(285\) | −1773.75 | + | 1093.41i | −0.368659 | + | 0.227255i | ||||
\(286\) | −2194.96 | + | 315.588i | −0.453814 | + | 0.0652486i | ||||
\(287\) | −4616.07 | + | 3999.85i | −0.949402 | + | 0.822661i | ||||
\(288\) | 5653.71 | − | 1431.83i | 1.15676 | − | 0.292956i | ||||
\(289\) | −4662.23 | − | 1368.95i | −0.948957 | − | 0.278639i | ||||
\(290\) | 4021.94 | + | 1836.76i | 0.814401 | + | 0.371924i | ||||
\(291\) | 4131.02 | + | 1981.16i | 0.832181 | + | 0.399098i | ||||
\(292\) | −404.522 | + | 2813.51i | −0.0810714 | + | 0.563864i | ||||
\(293\) | −1103.56 | − | 1717.18i | −0.220037 | − | 0.342385i | 0.713632 | − | 0.700521i | \(-0.247049\pi\) |
−0.933669 | + | 0.358136i | \(0.883412\pi\) | |||||||
\(294\) | −774.681 | + | 477.543i | −0.153674 | + | 0.0947308i | ||||
\(295\) | −2903.39 | + | 9888.05i | −0.573024 | + | 1.95154i | ||||
\(296\) | −181.837 | − | 116.859i | −0.0357062 | − | 0.0229470i | ||||
\(297\) | −2967.26 | + | 1678.74i | −0.579723 | + | 0.327982i | ||||
\(298\) | 6546.70i | 1.27262i | ||||||||
\(299\) | −306.648 | − | 197.071i | −0.0593107 | − | 0.0381167i | ||||
\(300\) | 740.400 | − | 202.379i | 0.142490 | − | 0.0389478i | ||||
\(301\) | 4963.21 | + | 5727.85i | 0.950414 | + | 1.09684i | ||||
\(302\) | −6826.56 | − | 7878.27i | −1.30074 | − | 1.50114i | ||||
\(303\) | −502.729 | + | 137.414i | −0.0953169 | + | 0.0260536i | ||||
\(304\) | −2120.57 | − | 1362.81i | −0.400076 | − | 0.257113i | ||||
\(305\) | − | 1150.65i | − | 0.216019i | ||||||
\(306\) | −720.764 | − | 131.425i | −0.134651 | − | 0.0245525i | ||||
\(307\) | −902.547 | − | 580.032i | −0.167788 | − | 0.107831i | 0.454051 | − | 0.890975i | \(-0.349978\pi\) |
−0.621840 | + | 0.783144i | \(0.713615\pi\) | |||||||
\(308\) | −664.832 | + | 2264.21i | −0.122995 | + | 0.418881i | ||||
\(309\) | 2114.50 | − | 1303.46i | 0.389287 | − | 0.239971i | ||||
\(310\) | 2156.47 | + | 3355.53i | 0.395094 | + | 0.614778i | ||||
\(311\) | −772.495 | + | 5372.82i | −0.140849 | + | 0.979629i | 0.789708 | + | 0.613483i | \(0.210232\pi\) |
−0.930557 | + | 0.366146i | \(0.880677\pi\) | |||||||
\(312\) | −1005.47 | − | 482.206i | −0.182448 | − | 0.0874985i | ||||
\(313\) | 8324.86 | + | 3801.84i | 1.50335 | + | 0.686557i | 0.985619 | − | 0.168985i | \(-0.0540490\pi\) |
0.517733 | + | 0.855543i | \(0.326776\pi\) | |||||||
\(314\) | 11922.8 | + | 3500.84i | 2.14281 | + | 0.629185i | ||||
\(315\) | 1401.13 | + | 5532.48i | 0.250617 | + | 0.989587i | ||||
\(316\) | −1509.10 | + | 1307.64i | −0.268650 | + | 0.232786i | ||||
\(317\) | −377.396 | + | 54.2613i | −0.0668664 | + | 0.00961394i | −0.175667 | − | 0.984450i | \(-0.556208\pi\) |
0.108800 | + | 0.994064i | \(0.465299\pi\) | |||||||
\(318\) | −6871.58 | + | 4235.90i | −1.21176 | + | 0.746974i | ||||
\(319\) | −666.453 | − | 2269.73i | −0.116972 | − | 0.398371i | ||||
\(320\) | 1447.15 | + | 1670.10i | 0.252807 | + | 0.291754i | ||||
\(321\) | 5198.34 | + | 4678.16i | 0.903872 | + | 0.813424i | ||||
\(322\) | −788.507 | + | 506.743i | −0.136465 | + | 0.0877009i | ||||
\(323\) | 129.522 | + | 201.540i | 0.0223120 | + | 0.0347182i | ||||
\(324\) | 4106.00 | + | 309.023i | 0.704047 | + | 0.0529874i | ||||
\(325\) | −587.624 | − | 268.359i | −0.100294 | − | 0.0458027i | ||||
\(326\) | 6119.70 | − | 7062.51i | 1.03969 | − | 1.19987i | ||||
\(327\) | 3988.90 | − | 497.255i | 0.674578 | − | 0.0840925i | ||||
\(328\) | 2021.24 | − | 2332.63i | 0.340257 | − | 0.392677i | ||||
\(329\) | 239.453 | + | 70.3097i | 0.0401260 | + | 0.0117821i | ||||
\(330\) | −4765.57 | − | 3190.67i | −0.794958 | − | 0.532244i | ||||
\(331\) | 584.126 | − | 83.9846i | 0.0969984 | − | 0.0139463i | −0.0936447 | − | 0.995606i | \(-0.529852\pi\) |
0.190643 | + | 0.981659i | \(0.438943\pi\) | |||||||
\(332\) | −5545.12 | + | 2532.37i | −0.916651 | + | 0.418620i | ||||
\(333\) | −420.519 | − | 523.824i | −0.0692021 | − | 0.0862023i | ||||
\(334\) | − | 8765.16i | − | 1.43595i | ||||||
\(335\) | 6714.31 | − | 615.677i | 1.09505 | − | 0.100412i | ||||
\(336\) | −5301.83 | + | 4422.51i | −0.860830 | + | 0.718059i | ||||
\(337\) | 2154.55 | + | 1866.93i | 0.348267 | + | 0.301775i | 0.811374 | − | 0.584527i | \(-0.198720\pi\) |
−0.463107 | + | 0.886302i | \(0.653265\pi\) | |||||||
\(338\) | 2435.32 | + | 5332.60i | 0.391905 | + | 0.858151i | ||||
\(339\) | 709.562 | − | 788.461i | 0.113682 | − | 0.126322i | ||||
\(340\) | −143.699 | − | 489.396i | −0.0229212 | − | 0.0780623i | ||||
\(341\) | 601.220 | − | 2047.57i | 0.0954777 | − | 0.325167i | ||||
\(342\) | −2036.72 | − | 2537.06i | −0.322028 | − | 0.401137i | ||||
\(343\) | 3628.89 | − | 5646.66i | 0.571258 | − | 0.888895i | ||||
\(344\) | −2894.44 | − | 2508.05i | −0.453657 | − | 0.393096i | ||||
\(345\) | −248.562 | − | 909.359i | −0.0387887 | − | 0.141908i | ||||
\(346\) | 932.304 | + | 3175.14i | 0.144858 | + | 0.493342i | ||||
\(347\) | −8656.27 | + | 5563.05i | −1.33917 | + | 0.860634i | −0.996878 | − | 0.0789587i | \(-0.974840\pi\) |
−0.342295 | + | 0.939593i | \(0.611204\pi\) | |||||||
\(348\) | −856.270 | + | 2725.75i | −0.131899 | + | 0.419872i | ||||
\(349\) | −1574.17 | − | 10948.6i | −0.241442 | − | 1.67927i | −0.644899 | − | 0.764268i | \(-0.723100\pi\) |
0.403457 | − | 0.914999i | \(-0.367809\pi\) | |||||||
\(350\) | −1255.39 | + | 1087.80i | −0.191723 | + | 0.166129i | ||||
\(351\) | −2487.11 | − | 2413.30i | −0.378211 | − | 0.366987i | ||||
\(352\) | 747.014 | − | 5195.60i | 0.113114 | − | 0.786722i | ||||
\(353\) | −674.459 | − | 4690.97i | −0.101694 | − | 0.707295i | −0.975336 | − | 0.220726i | \(-0.929157\pi\) |
0.873642 | − | 0.486569i | \(-0.161752\pi\) | |||||||
\(354\) | −15881.4 | − | 2588.68i | −2.38442 | − | 0.388663i | ||||
\(355\) | 3674.71 | − | 1678.18i | 0.549389 | − | 0.250898i | ||||
\(356\) | 98.6016 | − | 335.806i | 0.0146794 | − | 0.0499935i | ||||
\(357\) | 632.959 | − | 173.011i | 0.0938368 | − | 0.0256491i | ||||
\(358\) | −4130.60 | − | 9044.75i | −0.609801 | − | 1.33528i | ||||
\(359\) | −906.810 | − | 130.380i | −0.133314 | − | 0.0191676i | 0.0753350 | − | 0.997158i | \(-0.475997\pi\) |
−0.208649 | + | 0.977991i | \(0.566906\pi\) | |||||||
\(360\) | −1098.69 | − | 2666.50i | −0.160851 | − | 0.390380i | ||||
\(361\) | 824.735 | − | 5736.16i | 0.120241 | − | 0.836297i | ||||
\(362\) | −7807.05 | − | 2292.36i | −1.13351 | − | 0.332828i | ||||
\(363\) | −475.975 | − | 3818.20i | −0.0688215 | − | 0.552076i | ||||
\(364\) | −2398.76 | −0.345409 | ||||||||
\(365\) | 6187.02 | 0.887242 | ||||||||
\(366\) | 1782.82 | − | 222.245i | 0.254616 | − | 0.0317403i | ||||
\(367\) | −9129.01 | − | 4169.08i | −1.29845 | − | 0.592982i | −0.358256 | − | 0.933624i | \(-0.616628\pi\) |
−0.940193 | + | 0.340642i | \(0.889356\pi\) | |||||||
\(368\) | 861.896 | − | 746.837i | 0.122091 | − | 0.105792i | ||||
\(369\) | 8258.39 | − | 4879.18i | 1.16508 | − | 0.688347i | ||||
\(370\) | 469.422 | − | 1027.89i | 0.0659570 | − | 0.144426i | ||||
\(371\) | 3908.68 | − | 6082.03i | 0.546977 | − | 0.851113i | ||||
\(372\) | −1979.24 | + | 1650.98i | −0.275857 | + | 0.230106i | ||||
\(373\) | 8755.25i | 1.21536i | 0.794181 | + | 0.607681i | \(0.207900\pi\) | ||||
−0.794181 | + | 0.607681i | \(0.792100\pi\) | |||||||
\(374\) | −356.493 | + | 554.713i | −0.0492882 | + | 0.0766940i | ||||
\(375\) | 2514.91 | + | 5792.34i | 0.346318 | + | 0.797640i | ||||
\(376\) | −124.827 | − | 17.9474i | −0.0171209 | − | 0.00246161i | ||||
\(377\) | 2022.88 | − | 1300.03i | 0.276349 | − | 0.177599i | ||||
\(378\) | −8301.43 | + | 3239.50i | −1.12957 | + | 0.440799i | ||||
\(379\) | 6595.28 | − | 3011.96i | 0.893870 | − | 0.408217i | 0.0851209 | − | 0.996371i | \(-0.472872\pi\) |
0.808749 | + | 0.588154i | \(0.200145\pi\) | |||||||
\(380\) | 940.912 | − | 2060.31i | 0.127020 | − | 0.278136i | ||||
\(381\) | 2464.48 | + | 5676.19i | 0.331389 | + | 0.763255i | ||||
\(382\) | 7093.88 | + | 15533.4i | 0.950143 | + | 2.08052i | ||||
\(383\) | −684.487 | − | 789.940i | −0.0913202 | − | 0.105389i | 0.708250 | − | 0.705962i | \(-0.249485\pi\) |
−0.799570 | + | 0.600572i | \(0.794939\pi\) | |||||||
\(384\) | 3698.42 | − | 4109.66i | 0.491495 | − | 0.546146i | ||||
\(385\) | 5084.19 | + | 730.996i | 0.673024 | + | 0.0967662i | ||||
\(386\) | −8881.63 | + | 2607.88i | −1.17115 | + | 0.343880i | ||||
\(387\) | −6054.33 | − | 10247.4i | −0.795242 | − | 1.34601i | ||||
\(388\) | −4929.49 | + | 708.754i | −0.644993 | + | 0.0927359i | ||||
\(389\) | 2139.05 | + | 3328.43i | 0.278803 | + | 0.433826i | 0.952209 | − | 0.305447i | \(-0.0988058\pi\) |
−0.673406 | + | 0.739273i | \(0.735169\pi\) | |||||||
\(390\) | 1747.18 | − | 5561.77i | 0.226851 | − | 0.722131i | ||||
\(391\) | −103.998 | + | 30.5367i | −0.0134512 | + | 0.00394963i | ||||
\(392\) | −171.097 | + | 374.651i | −0.0220452 | + | 0.0482723i | ||||
\(393\) | −204.179 | + | 10870.9i | −0.0262072 | + | 1.39533i | ||||
\(394\) | 516.218 | + | 331.753i | 0.0660068 | + | 0.0424200i | ||||
\(395\) | 3284.78 | + | 2846.28i | 0.418419 | + | 0.362562i | ||||
\(396\) | 1664.98 | − | 3310.80i | 0.211283 | − | 0.420137i | ||||
\(397\) | −2430.59 | + | 713.686i | −0.307274 | + | 0.0902239i | −0.431735 | − | 0.902001i | \(-0.642098\pi\) |
0.124460 | + | 0.992225i | \(0.460280\pi\) | |||||||
\(398\) | −2070.24 | − | 14398.8i | −0.260733 | − | 1.81343i | ||||
\(399\) | 2627.35 | + | 1260.03i | 0.329654 | + | 0.158096i | ||||
\(400\) | 1323.57 | − | 1527.48i | 0.165446 | − | 0.190935i | ||||
\(401\) | −3586.45 | −0.446631 | −0.223315 | − | 0.974746i | \(-0.571688\pi\) | ||||
−0.223315 | + | 0.974746i | \(0.571688\pi\) | |||||||
\(402\) | 2250.79 | + | 10284.3i | 0.279252 | + | 1.27595i | ||||
\(403\) | 2169.24 | 0.268133 | ||||||||
\(404\) | 370.993 | − | 428.148i | 0.0456871 | − | 0.0527257i | ||||
\(405\) | −606.128 | − | 8942.10i | −0.0743672 | − | 1.09713i | ||||
\(406\) | −879.953 | − | 6120.20i | −0.107565 | − | 0.748130i | ||||
\(407\) | −580.077 | + | 170.326i | −0.0706471 | + | 0.0207438i | ||||
\(408\) | −304.154 | + | 132.057i | −0.0369065 | + | 0.0160240i | ||||
\(409\) | 1139.68 | + | 987.537i | 0.137783 | + | 0.119390i | 0.721026 | − | 0.692908i | \(-0.243671\pi\) |
−0.583243 | + | 0.812298i | \(0.698216\pi\) | |||||||
\(410\) | 13574.4 | + | 8723.75i | 1.63511 | + | 1.05082i | ||||
\(411\) | −10437.3 | − | 196.035i | −1.25264 | − | 0.0235273i | ||||
\(412\) | −1121.67 | + | 2456.11i | −0.134128 | + | 0.293699i | ||||
\(413\) | 13827.7 | − | 4060.18i | 1.64750 | − | 0.483749i | ||||
\(414\) | 1360.96 | − | 560.764i | 0.161564 | − | 0.0665701i | ||||
\(415\) | 7173.71 | + | 11162.5i | 0.848539 | + | 1.32035i | ||||
\(416\) | 5281.37 | − | 759.346i | 0.622453 | − | 0.0894952i | ||||
\(417\) | −7578.49 | − | 1235.30i | −0.889976 | − | 0.145067i | ||||
\(418\) | −2809.52 | + | 824.949i | −0.328751 | + | 0.0965301i | ||||
\(419\) | 7380.53 | + | 1061.16i | 0.860531 | + | 0.123726i | 0.558431 | − | 0.829551i | \(-0.311403\pi\) |
0.302099 | + | 0.953276i | \(0.402313\pi\) | |||||||
\(420\) | −4611.37 | − | 4149.92i | −0.535742 | − | 0.482132i | ||||
\(421\) | −2168.93 | − | 2503.08i | −0.251087 | − | 0.289769i | 0.616188 | − | 0.787599i | \(-0.288676\pi\) |
−0.867275 | + | 0.497830i | \(0.834131\pi\) | |||||||
\(422\) | −1395.80 | − | 3056.37i | −0.161010 | − | 0.352563i | ||||
\(423\) | −350.136 | − | 176.081i | −0.0402463 | − | 0.0202396i | ||||
\(424\) | −1517.67 | + | 3323.23i | −0.173831 | + | 0.380638i | ||||
\(425\) | −174.731 | + | 79.7972i | −0.0199429 | + | 0.00910760i | ||||
\(426\) | 3309.95 | + | 5369.47i | 0.376450 | + | 0.610685i | ||||
\(427\) | −1353.66 | + | 869.942i | −0.153415 | + | 0.0985936i | ||||
\(428\) | −7524.58 | − | 1081.87i | −0.849800 | − | 0.122183i | ||||
\(429\) | −2860.95 | + | 1242.16i | −0.321977 | + | 0.139796i | ||||
\(430\) | 10824.9 | − | 16843.8i | 1.21400 | − | 1.88902i | ||||
\(431\) | 11344.4i | 1.26785i | 0.773396 | + | 0.633923i | \(0.218557\pi\) | ||||
−0.773396 | + | 0.633923i | \(0.781443\pi\) | |||||||
\(432\) | 9436.92 | − | 5338.99i | 1.05100 | − | 0.594611i | ||||
\(433\) | 8435.78 | − | 13126.3i | 0.936253 | − | 1.45684i | 0.0472781 | − | 0.998882i | \(-0.484945\pi\) |
0.888975 | − | 0.457956i | \(-0.151418\pi\) | |||||||
\(434\) | 2317.16 | − | 5073.87i | 0.256284 | − | 0.561183i | ||||
\(435\) | 6137.87 | + | 1000.48i | 0.676525 | + | 0.110274i | ||||
\(436\) | −3302.30 | + | 2861.46i | −0.362732 | + | 0.314309i | ||||
\(437\) | −437.824 | − | 199.947i | −0.0479266 | − | 0.0218874i | ||||
\(438\) | 1195.01 | + | 9586.20i | 0.130365 | + | 1.04577i | ||||
\(439\) | −12388.1 | −1.34681 | −0.673406 | − | 0.739273i | \(-0.735169\pi\) | ||||
−0.673406 | + | 0.739273i | \(0.735169\pi\) | |||||||
\(440\) | −2595.60 | −0.281228 | ||||||||
\(441\) | −873.944 | + | 935.189i | −0.0943682 | + | 0.100981i | ||||
\(442\) | −643.124 | − | 188.838i | −0.0692088 | − | 0.0203215i | ||||
\(443\) | 1212.46 | − | 8432.82i | 0.130035 | − | 0.904414i | −0.815468 | − | 0.578802i | \(-0.803521\pi\) |
0.945503 | − | 0.325612i | \(-0.105570\pi\) | |||||||
\(444\) | 696.623 | + | 218.838i | 0.0744600 | + | 0.0233909i | ||||
\(445\) | −754.038 | − | 108.414i | −0.0803255 | − | 0.0115491i | ||||
\(446\) | 5175.88 | + | 11333.6i | 0.549518 | + | 1.20328i | ||||
\(447\) | 2427.82 | + | 8882.16i | 0.256895 | + | 0.939848i | ||||
\(448\) | 870.645 | − | 2965.14i | 0.0918172 | − | 0.312701i | ||||
\(449\) | −11166.7 | + | 5099.64i | −1.17369 | + | 0.536006i | −0.904247 | − | 0.427010i | \(-0.859567\pi\) |
−0.269443 | + | 0.963016i | \(0.586840\pi\) | |||||||
\(450\) | 2245.95 | − | 1326.94i | 0.235278 | − | 0.139006i | ||||
\(451\) | −1228.59 | − | 8545.04i | −0.128275 | − | 0.892174i | ||||
\(452\) | −164.094 | + | 1141.30i | −0.0170759 | + | 0.118766i | ||||
\(453\) | −12183.5 | − | 8157.14i | −1.26364 | − | 0.846040i | ||||
\(454\) | 15895.1 | − | 13773.2i | 1.64316 | − | 1.42380i | ||||
\(455\) | 743.063 | + | 5168.12i | 0.0765612 | + | 0.532495i | ||||
\(456\) | −1404.78 | − | 441.298i | −0.144265 | − | 0.0453194i | ||||
\(457\) | 4430.55 | − | 2847.34i | 0.453506 | − | 0.291451i | −0.293878 | − | 0.955843i | \(-0.594946\pi\) |
0.747384 | + | 0.664392i | \(0.231310\pi\) | |||||||
\(458\) | 3192.11 | + | 10871.3i | 0.325672 | + | 1.10914i | ||||
\(459\) | −1026.63 | + | 88.9840i | −0.104398 | + | 0.00904884i | ||||
\(460\) | 774.454 | + | 671.069i | 0.0784981 | + | 0.0680190i | ||||
\(461\) | 9151.10 | − | 14239.4i | 0.924532 | − | 1.43860i | 0.0260146 | − | 0.999662i | \(-0.491718\pi\) |
0.898517 | − | 0.438938i | \(-0.144645\pi\) | |||||||
\(462\) | −150.607 | + | 8018.66i | −0.0151664 | + | 0.807493i | ||||
\(463\) | −5022.07 | + | 17103.6i | −0.504094 | + | 1.71679i | 0.176657 | + | 0.984272i | \(0.443472\pi\) |
−0.680751 | + | 0.732515i | \(0.738347\pi\) | |||||||
\(464\) | 2119.55 | + | 7218.53i | 0.212064 | + | 0.722224i | ||||
\(465\) | 4170.15 | + | 3752.85i | 0.415884 | + | 0.374268i | ||||
\(466\) | −522.137 | − | 1143.32i | −0.0519046 | − | 0.113655i | ||||
\(467\) | 6282.09 | + | 5443.46i | 0.622485 | + | 0.539386i | 0.907990 | − | 0.418991i | \(-0.137616\pi\) |
−0.285506 | + | 0.958377i | \(0.592161\pi\) | |||||||
\(468\) | 3705.96 | + | 675.747i | 0.366042 | + | 0.0667445i | ||||
\(469\) | −5800.63 | − | 7433.45i | −0.571105 | − | 0.731865i | ||||
\(470\) | − | 659.292i | − | 0.0647040i | ||||||
\(471\) | 17474.4 | + | 328.206i | 1.70950 | + | 0.0321081i | ||||
\(472\) | −6624.42 | + | 3025.27i | −0.646003 | + | 0.295020i | ||||
\(473\) | −10603.1 | + | 1524.50i | −1.03072 | + | 0.148195i | ||||
\(474\) | −3775.59 | + | 5639.22i | −0.365862 | + | 0.546451i | ||||
\(475\) | −818.456 | − | 240.320i | −0.0790597 | − | 0.0232140i | ||||
\(476\) | −467.097 | + | 539.058i | −0.0449776 | + | 0.0519069i | ||||
\(477\) | −7752.07 | + | 8295.32i | −0.744115 | + | 0.796261i | ||||
\(478\) | 10426.4 | − | 12032.8i | 0.997687 | − | 1.15139i | ||||
\(479\) | 6572.32 | + | 3001.48i | 0.626925 | + | 0.286307i | 0.703433 | − | 0.710762i | \(-0.251650\pi\) |
−0.0765077 | + | 0.997069i | \(0.524377\pi\) | |||||||
\(480\) | 11466.6 | + | 7677.17i | 1.09037 | + | 0.730028i | ||||
\(481\) | −332.249 | − | 516.990i | −0.0314953 | − | 0.0490077i | ||||
\(482\) | 17443.8 | − | 11210.4i | 1.64843 | − | 1.05938i | ||||
\(483\) | −881.875 | + | 979.933i | −0.0830780 | + | 0.0923158i | ||||
\(484\) | 2739.00 | + | 3160.98i | 0.257232 | + | 0.296861i | ||||
\(485\) | 3054.02 | + | 10401.0i | 0.285930 | + | 0.973788i | ||||
\(486\) | 13737.9 | − | 2666.29i | 1.28223 | − | 0.248859i | ||||
\(487\) | 186.086 | − | 26.7552i | 0.0173149 | − | 0.00248951i | −0.133652 | − | 0.991028i | \(-0.542670\pi\) |
0.150967 | + | 0.988539i | \(0.451761\pi\) | |||||||
\(488\) | 614.516 | − | 532.481i | 0.0570037 | − | 0.0493940i | ||||
\(489\) | 5683.72 | − | 11851.5i | 0.525617 | − | 1.09599i | ||||
\(490\) | −2065.99 | − | 606.631i | −0.190474 | − | 0.0559281i | ||||
\(491\) | −5956.85 | − | 2720.40i | −0.547513 | − | 0.250041i | 0.122400 | − | 0.992481i | \(-0.460941\pi\) |
−0.669912 | + | 0.742440i | \(0.733668\pi\) | |||||||
\(492\) | −4508.76 | + | 9401.46i | −0.413151 | + | 0.861485i | ||||
\(493\) | 101.757 | − | 707.737i | 0.00929597 | − | 0.0646549i | ||||
\(494\) | −1609.20 | − | 2503.96i | −0.146561 | − | 0.228054i | ||||
\(495\) | −7648.88 | − | 2561.60i | −0.694529 | − | 0.232597i | ||||
\(496\) | −1912.09 | + | 6511.98i | −0.173096 | + | 0.589509i | ||||
\(497\) | −4752.52 | − | 3054.26i | −0.428933 | − | 0.275658i | ||||
\(498\) | −15909.7 | + | 13271.0i | −1.43158 | + | 1.19415i | ||||
\(499\) | 3477.88i | 0.312007i | 0.987757 | + | 0.156003i | \(0.0498610\pi\) | ||||
−0.987757 | + | 0.156003i | \(0.950139\pi\) | |||||||
\(500\) | −5774.55 | − | 3711.08i | −0.516492 | − | 0.331929i | ||||
\(501\) | −3250.53 | − | 11892.0i | −0.289866 | − | 1.06047i | ||||
\(502\) | 5234.28 | + | 6040.69i | 0.465374 | + | 0.537070i | ||||
\(503\) | 8674.25 | + | 10010.6i | 0.768918 | + | 0.887379i | 0.996257 | − | 0.0864367i | \(-0.0275480\pi\) |
−0.227339 | + | 0.973816i | \(0.573003\pi\) | |||||||
\(504\) | −2306.29 | + | 3308.53i | −0.203830 | + | 0.292408i | ||||
\(505\) | −1037.37 | − | 666.676i | −0.0914104 | − | 0.0587459i | ||||
\(506\) | − | 1324.77i | − | 0.116390i | ||||||
\(507\) | 5281.67 | + | 6331.82i | 0.462657 | + | 0.554647i | ||||
\(508\) | −5658.77 | − | 3636.67i | −0.494227 | − | 0.317620i | ||||
\(509\) | −5244.99 | + | 17862.8i | −0.456739 | + | 1.55551i | 0.333523 | + | 0.942742i | \(0.391763\pi\) |
−0.790262 | + | 0.612769i | \(0.790056\pi\) | |||||||
\(510\) | −909.645 | − | 1475.65i | −0.0789799 | − | 0.128123i | ||||
\(511\) | −4677.67 | − | 7278.60i | −0.404947 | − | 0.630110i | ||||
\(512\) | −1611.32 | + | 11207.0i | −0.139084 | + | 0.967351i | ||||
\(513\) | −3704.16 | − | 2686.82i | −0.318797 | − | 0.231240i | ||||
\(514\) | −8803.72 | − | 4020.53i | −0.755478 | − | 0.345015i | ||||
\(515\) | 5639.15 | + | 1655.80i | 0.482506 | + | 0.141677i | ||||
\(516\) | 11665.8 | + | 5594.68i | 0.995267 | + | 0.477311i | ||||
\(517\) | −266.575 | + | 230.988i | −0.0226769 | + | 0.0196496i | ||||
\(518\) | −1564.15 | + | 224.890i | −0.132673 | + | 0.0190755i | ||||
\(519\) | 2442.38 | + | 3962.09i | 0.206568 | + | 0.335099i | ||||
\(520\) | −743.338 | − | 2531.58i | −0.0626875 | − | 0.213494i | ||||
\(521\) | 6395.37 | + | 7380.65i | 0.537786 | + | 0.620638i | 0.957993 | − | 0.286790i | \(-0.0925882\pi\) |
−0.420208 | + | 0.907428i | \(0.638043\pi\) | |||||||
\(522\) | −364.625 | + | 9703.29i | −0.0305732 | + | 0.813605i | ||||
\(523\) | 11111.2 | − | 7140.75i | 0.928987 | − | 0.597024i | 0.0137351 | − | 0.999906i | \(-0.495628\pi\) |
0.915252 | + | 0.402882i | \(0.131991\pi\) | |||||||
\(524\) | −6389.80 | − | 9942.72i | −0.532709 | − | 0.828912i | ||||
\(525\) | −1299.82 | + | 1941.41i | −0.108055 | + | 0.161391i | ||||
\(526\) | 16539.6 | + | 7553.38i | 1.37103 | + | 0.626128i | ||||
\(527\) | 422.404 | − | 487.481i | 0.0349150 | − | 0.0402941i | ||||
\(528\) | −1207.13 | − | 9683.40i | −0.0994952 | − | 0.798136i | ||||
\(529\) | −7825.09 | + | 9030.63i | −0.643140 | + | 0.742223i | ||||
\(530\) | −18325.8 | − | 5380.94i | −1.50193 | − | 0.441006i | ||||
\(531\) | −22506.9 | + | 2377.41i | −1.83939 | + | 0.194295i | ||||
\(532\) | −3135.18 | + | 450.772i | −0.255503 | + | 0.0367358i | ||||
\(533\) | 7982.41 | − | 3645.45i | 0.648699 | − | 0.296251i | ||||
\(534\) | 22.3367 | − | 1189.25i | 0.00181011 | − | 0.0963744i | ||||
\(535\) | 16546.8i | 1.33716i | ||||||||
\(536\) | 3435.97 | + | 3300.94i | 0.276887 | + | 0.266005i | ||||
\(537\) | −8958.36 | − | 10739.5i | −0.719892 | − | 0.863027i | ||||
\(538\) | 1599.29 | + | 1385.79i | 0.128160 | + | 0.111051i | ||||
\(539\) | 478.556 | + | 1047.89i | 0.0382428 | + | 0.0837400i | ||||
\(540\) | 5955.27 | + | 7710.48i | 0.474581 | + | 0.614456i | ||||
\(541\) | 5065.41 | + | 17251.2i | 0.402549 | + | 1.37096i | 0.872652 | + | 0.488343i | \(0.162399\pi\) |
−0.470103 | + | 0.882612i | \(0.655783\pi\) | |||||||
\(542\) | 5565.54 | − | 18954.5i | 0.441071 | − | 1.50215i | ||||
\(543\) | −11442.2 | − | 214.910i | −0.904298 | − | 0.0169846i | ||||
\(544\) | 857.769 | − | 1334.71i | 0.0676039 | − | 0.105194i | ||||
\(545\) | 7187.96 | + | 6228.40i | 0.564951 | + | 0.489533i | ||||
\(546\) | −7863.99 | + | 2149.52i | −0.616388 | + | 0.168482i | ||||
\(547\) | −7176.28 | − | 24440.2i | −0.560943 | − | 1.91039i | −0.371161 | − | 0.928569i | \(-0.621040\pi\) |
−0.189782 | − | 0.981826i | \(-0.560778\pi\) | |||||||
\(548\) | 9546.18 | − | 6134.96i | 0.744147 | − | 0.478234i | ||||
\(549\) | 2336.40 | − | 962.681i | 0.181630 | − | 0.0748383i | ||||
\(550\) | −334.127 | − | 2323.91i | −0.0259041 | − | 0.180167i | ||||
\(551\) | 2399.61 | − | 2079.28i | 0.185530 | − | 0.160763i | ||||
\(552\) | 370.627 | − | 553.568i | 0.0285778 | − | 0.0426837i | ||||
\(553\) | 865.005 | − | 6016.24i | 0.0665168 | − | 0.462634i | ||||
\(554\) | −3750.60 | − | 26086.0i | −0.287631 | − | 2.00052i | ||||
\(555\) | 255.693 | − | 1568.66i | 0.0195560 | − | 0.119975i | ||||
\(556\) | 7592.39 | − | 3467.33i | 0.579117 | − | 0.264474i | ||||
\(557\) | −998.206 | + | 3399.58i | −0.0759342 | + | 0.258608i | −0.988707 | − | 0.149858i | \(-0.952118\pi\) |
0.912773 | + | 0.408467i | \(0.133936\pi\) | |||||||
\(558\) | −5009.24 | + | 7186.11i | −0.380032 | + | 0.545183i | ||||
\(559\) | −4523.45 | − | 9904.96i | −0.342256 | − | 0.749437i | ||||
\(560\) | −16169.5 | − | 2324.82i | −1.22015 | − | 0.175431i | ||||
\(561\) | −277.954 | + | 884.805i | −0.0209184 | + | 0.0665891i | ||||
\(562\) | −1694.47 | + | 11785.3i | −0.127183 | + | 0.884575i | ||||
\(563\) | −23444.5 | − | 6883.94i | −1.75501 | − | 0.515317i | −0.763551 | − | 0.645747i | \(-0.776546\pi\) |
−0.991457 | + | 0.130430i | \(0.958364\pi\) | |||||||
\(564\) | 422.749 | − | 52.6997i | 0.0315619 | − | 0.00393450i | ||||
\(565\) | 2509.75 | 0.186878 | ||||||||
\(566\) | 9561.20 | 0.710048 | ||||||||
\(567\) | −10061.5 | + | 7473.71i | −0.745227 | + | 0.553556i | ||||
\(568\) | 2596.78 | + | 1185.91i | 0.191829 | + | 0.0876052i | ||||
\(569\) | −2495.38 | + | 2162.26i | −0.183852 | + | 0.159308i | −0.741924 | − | 0.670484i | \(-0.766087\pi\) |
0.558072 | + | 0.829792i | \(0.311541\pi\) | |||||||
\(570\) | 1238.41 | − | 7597.59i | 0.0910024 | − | 0.558295i | ||||
\(571\) | −7155.64 | + | 15668.7i | −0.524439 | + | 1.14836i | 0.443293 | + | 0.896377i | \(0.353810\pi\) |
−0.967732 | + | 0.251983i | \(0.918917\pi\) | |||||||
\(572\) | 1832.98 | − | 2852.17i | 0.133987 | − | 0.208488i | ||||
\(573\) | 15385.1 | + | 18444.1i | 1.12168 | + | 1.34470i | ||||
\(574\) | − | 22564.9i | − | 1.64084i | ||||||
\(575\) | 208.648 | − | 324.662i | 0.0151325 | − | 0.0235467i | ||||
\(576\) | −2180.41 | + | 4335.73i | −0.157726 | + | 0.313638i | ||||
\(577\) | −9064.87 | − | 1303.33i | −0.654030 | − | 0.0940354i | −0.192691 | − | 0.981259i | \(-0.561722\pi\) |
−0.461339 | + | 0.887224i | \(0.652631\pi\) | |||||||
\(578\) | 15101.4 | − | 9705.09i | 1.08674 | − | 0.698406i | ||||
\(579\) | −11082.9 | + | 6831.94i | −0.795494 | + | 0.490373i | ||||
\(580\) | −6149.13 | + | 2808.21i | −0.440222 | + | 0.201043i | ||||
\(581\) | 7708.27 | − | 16878.8i | 0.550418 | − | 1.20525i | ||||
\(582\) | −15525.6 | + | 6740.86i | −1.10576 | + | 0.480099i | ||||
\(583\) | 4244.89 | + | 9295.01i | 0.301553 | + | 0.660308i | ||||
\(584\) | 2863.15 | + | 3304.25i | 0.202873 | + | 0.234128i | ||||
\(585\) | 307.903 | − | 8193.81i | 0.0217610 | − | 0.579098i | ||||
\(586\) | 7464.23 | + | 1073.19i | 0.526185 | + | 0.0756540i | ||||
\(587\) | −20644.7 | + | 6061.83i | −1.45161 | + | 0.426233i | −0.910075 | − | 0.414443i | \(-0.863976\pi\) |
−0.541539 | + | 0.840675i | \(0.682158\pi\) | |||||||
\(588\) | 223.839 | − | 1373.24i | 0.0156989 | − | 0.0963119i | ||||
\(589\) | 2835.21 | − | 407.641i | 0.198341 | − | 0.0285171i | ||||
\(590\) | −20583.4 | − | 32028.4i | −1.43628 | − | 2.23489i | ||||
\(591\) | 823.403 | + | 258.665i | 0.0573101 | + | 0.0180034i | ||||
\(592\) | 1844.85 | − | 541.696i | 0.128079 | − | 0.0376074i | ||||
\(593\) | −3648.54 | + | 7989.20i | −0.252661 | + | 0.553250i | −0.992880 | − | 0.119115i | \(-0.961994\pi\) |
0.740220 | + | 0.672365i | \(0.234721\pi\) | |||||||
\(594\) | 2491.60 | − | 12346.0i | 0.172107 | − | 0.852798i | ||||
\(595\) | 1306.09 | + | 839.375i | 0.0899910 | + | 0.0578337i | ||||
\(596\) | −7564.48 | − | 6554.66i | −0.519888 | − | 0.450485i | ||||
\(597\) | −8148.52 | − | 18767.7i | −0.558621 | − | 1.28662i | ||||
\(598\) | 1292.09 | − | 379.393i | 0.0883573 | − | 0.0259440i | ||||
\(599\) | 1486.39 | + | 10338.0i | 0.101389 | + | 0.705177i | 0.975588 | + | 0.219609i | \(0.0704781\pi\) |
−0.874199 | + | 0.485568i | \(0.838613\pi\) | |||||||
\(600\) | 510.534 | − | 1064.54i | 0.0347374 | − | 0.0724330i | ||||
\(601\) | 7302.54 | − | 8427.58i | 0.495635 | − | 0.571994i | −0.451727 | − | 0.892156i | \(-0.649192\pi\) |
0.947363 | + | 0.320162i | \(0.103737\pi\) | |||||||
\(602\) | −27999.7 | −1.89565 | ||||||||
\(603\) | 6867.63 | + | 13118.4i | 0.463800 | + | 0.885940i | ||||
\(604\) | 15937.9 | 1.07368 | ||||||||
\(605\) | 5961.86 | − | 6880.35i | 0.400635 | − | 0.462357i | ||||
\(606\) | 832.586 | − | 1736.07i | 0.0558110 | − | 0.116375i | ||||
\(607\) | −3527.25 | − | 24532.5i | −0.235859 | − | 1.64044i | −0.671995 | − | 0.740556i | \(-0.734562\pi\) |
0.436136 | − | 0.899881i | \(-0.356347\pi\) | |||||||
\(608\) | 6760.08 | − | 1984.94i | 0.450917 | − | 0.132401i | ||||
\(609\) | −3463.52 | − | 7977.19i | −0.230458 | − | 0.530792i | ||||
\(610\) | 3212.62 | + | 2783.75i | 0.213238 | + | 0.184772i | ||||
\(611\) | −301.633 | − | 193.848i | −0.0199718 | − | 0.0128351i | ||||
\(612\) | 873.497 | − | 701.233i | 0.0576945 | − | 0.0463164i | ||||
\(613\) | 9742.03 | − | 21332.1i | 0.641887 | − | 1.40554i | −0.256592 | − | 0.966520i | \(-0.582600\pi\) |
0.898479 | − | 0.439017i | \(-0.144673\pi\) | |||||||
\(614\) | 3802.98 | − | 1116.66i | 0.249960 | − | 0.0733950i | ||||
\(615\) | 21652.1 | + | 6801.82i | 1.41967 | + | 0.445977i | ||||
\(616\) | 1962.40 | + | 3053.55i | 0.128356 | + | 0.199725i | ||||
\(617\) | −27530.6 | + | 3958.30i | −1.79634 | + | 0.258274i | −0.957977 | − | 0.286846i | \(-0.907393\pi\) |
−0.838358 | + | 0.545120i | \(0.816484\pi\) | |||||||
\(618\) | −1476.32 | + | 9057.14i | −0.0960943 | + | 0.589534i | ||||
\(619\) | −10523.6 | + | 3090.00i | −0.683326 | + | 0.200643i | −0.604929 | − | 0.796280i | \(-0.706798\pi\) |
−0.0783972 | + | 0.996922i | \(0.524980\pi\) | |||||||
\(620\) | −6036.28 | − | 867.886i | −0.391005 | − | 0.0562180i | ||||
\(621\) | 1638.51 | − | 1265.52i | 0.105879 | − | 0.0817769i | ||||
\(622\) | −13132.1 | − | 15155.2i | −0.846541 | − | 0.976961i | ||||
\(623\) | 442.546 | + | 969.041i | 0.0284594 | + | 0.0623175i | ||||
\(624\) | 9098.83 | − | 3950.52i | 0.583726 | − | 0.253441i | ||||
\(625\) | −7564.75 | + | 16564.5i | −0.484144 | + | 1.06013i | ||||
\(626\) | −30755.0 | + | 14045.4i | −1.96361 | + | 0.896750i | ||||
\(627\) | −3505.85 | + | 2161.14i | −0.223302 | + | 0.137652i | ||||
\(628\) | −15982.4 | + | 10271.2i | −1.01555 | + | 0.652655i | ||||
\(629\) | −180.877 | − | 26.0062i | −0.0114659 | − | 0.00164855i | ||||
\(630\) | −18836.5 | − | 9472.72i | −1.19121 | − | 0.599051i | ||||
\(631\) | 1635.40 | − | 2544.73i | 0.103176 | − | 0.160545i | −0.785827 | − | 0.618447i | \(-0.787762\pi\) |
0.889003 | + | 0.457901i | \(0.151399\pi\) | |||||||
\(632\) | 3071.44i | 0.193315i | ||||||||
\(633\) | −3027.18 | − | 3629.07i | −0.190078 | − | 0.227871i | ||||
\(634\) | 761.532 | − | 1184.97i | 0.0477040 | − | 0.0742288i | ||||
\(635\) | −6082.28 | + | 13318.3i | −0.380107 | + | 0.832319i | ||||
\(636\) | 1985.50 | − | 12180.9i | 0.123789 | − | 0.759441i | ||||
\(637\) | −884.991 | + | 766.849i | −0.0550465 | + | 0.0476981i | ||||
\(638\) | 7949.46 | + | 3630.39i | 0.493295 | + | 0.225280i | ||||
\(639\) | 6481.99 | + | 6057.49i | 0.401289 | + | 0.375009i | ||||
\(640\) | 13081.5 | 0.807953 | ||||||||
\(641\) | −2913.46 | −0.179524 | −0.0897618 | − | 0.995963i | \(-0.528611\pi\) | ||||
−0.0897618 | + | 0.995963i | \(0.528611\pi\) | |||||||
\(642\) | −25637.8 | + | 3195.99i | −1.57608 | + | 0.196473i | ||||
\(643\) | −4987.42 | − | 1464.44i | −0.305886 | − | 0.0898163i | 0.125187 | − | 0.992133i | \(-0.460047\pi\) |
−0.431073 | + | 0.902317i | \(0.641865\pi\) | |||||||
\(644\) | 203.943 | − | 1418.45i | 0.0124790 | − | 0.0867932i | ||||
\(645\) | 8440.03 | − | 26867.0i | 0.515234 | − | 1.64014i | ||||
\(646\) | −876.052 | − | 125.957i | −0.0533557 | − | 0.00767139i | ||||
\(647\) | −9862.19 | − | 21595.2i | −0.599262 | − | 1.31220i | −0.929680 | − | 0.368367i | \(-0.879917\pi\) |
0.330418 | − | 0.943835i | \(-0.392810\pi\) | |||||||
\(648\) | 4495.13 | − | 4461.82i | 0.272509 | − | 0.270489i | ||||
\(649\) | −5738.63 | + | 19544.0i | −0.347089 | + | 1.18208i | ||||
\(650\) | 2170.89 | − | 991.414i | 0.130999 | − | 0.0598253i | ||||
\(651\) | 1262.15 | − | 7743.22i | 0.0759870 | − | 0.466176i | ||||
\(652\) | 2033.34 | + | 14142.2i | 0.122135 | + | 0.849465i | ||||
\(653\) | 283.707 | − | 1973.23i | 0.0170020 | − | 0.118252i | −0.979553 | − | 0.201187i | \(-0.935520\pi\) |
0.996555 | + | 0.0829349i | \(0.0264294\pi\) | |||||||
\(654\) | −8261.98 | + | 12340.1i | −0.493989 | + | 0.737821i | ||||
\(655\) | −19442.2 | + | 16846.8i | −1.15980 | + | 1.00497i | ||||
\(656\) | 3907.35 | + | 27176.2i | 0.232555 | + | 1.61746i | ||||
\(657\) | 5176.33 | + | 12562.8i | 0.307379 | + | 0.746000i | ||||
\(658\) | −775.612 | + | 498.455i | −0.0459521 | + | 0.0295316i | ||||
\(659\) | −2109.13 | − | 7183.03i | −0.124674 | − | 0.424599i | 0.873374 | − | 0.487049i | \(-0.161927\pi\) |
−0.998048 | + | 0.0624499i | \(0.980109\pi\) | |||||||
\(660\) | 8458.07 | − | 2311.90i | 0.498833 | − | 0.136349i | ||||
\(661\) | −10008.4 | − | 8672.33i | −0.588929 | − | 0.510310i | 0.308643 | − | 0.951178i | \(-0.400125\pi\) |
−0.897572 | + | 0.440868i | \(0.854671\pi\) | |||||||
\(662\) | −1178.68 | + | 1834.07i | −0.0692007 | + | 0.107678i | ||||
\(663\) | −942.581 | − | 17.7037i | −0.0552139 | − | 0.00103703i | ||||
\(664\) | −2641.71 | + | 8996.84i | −0.154395 | + | 0.525821i | ||||
\(665\) | 1942.37 | + | 6615.12i | 0.113266 | + | 0.385749i | ||||
\(666\) | 2479.88 | + | 93.1877i | 0.144284 | + | 0.00542185i | ||||
\(667\) | 596.756 | + | 1306.71i | 0.0346424 | + | 0.0758563i | ||||
\(668\) | 10127.8 | + | 8775.81i | 0.586613 | + | 0.508303i | ||||
\(669\) | 11225.4 | + | 13457.3i | 0.648725 | + | 0.777711i | ||||
\(670\) | −14524.9 | + | 20235.9i | −0.837532 | + | 1.16684i | ||||
\(671\) | − | 2274.28i | − | 0.130846i | ||||||
\(672\) | 362.381 | − | 19294.0i | 0.0208023 | − | 1.10756i | ||||
\(673\) | −2412.33 | + | 1101.68i | −0.138170 | + | 0.0631002i | −0.483300 | − | 0.875455i | \(-0.660562\pi\) |
0.345130 | + | 0.938555i | \(0.387835\pi\) | |||||||
\(674\) | −10425.0 | + | 1498.89i | −0.595780 | + | 0.0856602i | ||||
\(675\) | 2555.07 | − | 2633.21i | 0.145696 | − | 0.150152i | ||||
\(676\) | −8599.91 | − | 2525.16i | −0.489298 | − | 0.143671i | ||||
\(677\) | −14010.8 | + | 16169.3i | −0.795388 | + | 0.917927i | −0.998119 | − | 0.0613076i | \(-0.980473\pi\) |
0.202731 | + | 0.979235i | \(0.435018\pi\) | |||||||
\(678\) | 484.754 | + | 3888.62i | 0.0274585 | + | 0.220268i | ||||
\(679\) | 9927.13 | − | 11456.5i | 0.561073 | − | 0.647512i | ||||
\(680\) | −713.652 | − | 325.914i | −0.0402460 | − | 0.0183798i | ||||
\(681\) | 16457.8 | − | 24581.3i | 0.926083 | − | 1.38320i | ||||
\(682\) | 4262.31 | + | 6632.28i | 0.239314 | + | 0.372380i | ||||
\(683\) | 16441.1 | − | 10566.0i | 0.921084 | − | 0.591945i | 0.00811231 | − | 0.999967i | \(-0.497418\pi\) |
0.912972 | + | 0.408022i | \(0.133781\pi\) | |||||||
\(684\) | 4970.69 | + | 186.786i | 0.277864 | + | 0.0104414i | ||||
\(685\) | −16174.9 | − | 18666.8i | −0.902205 | − | 1.04120i | ||||
\(686\) | 6986.20 | + | 23792.8i | 0.388826 | + | 1.32422i | ||||
\(687\) | 8362.47 | + | 13565.8i | 0.464408 | + | 0.753372i | ||||
\(688\) | 33721.6 | − | 4848.43i | 1.86864 | − | 0.268670i | ||||
\(689\) | −7850.06 | + | 6802.11i | −0.434054 | + | 0.376110i | ||||
\(690\) | 3140.29 | + | 1506.02i | 0.173259 | + | 0.0830916i | ||||
\(691\) | 5052.07 | + | 1483.42i | 0.278133 | + | 0.0816672i | 0.417824 | − | 0.908528i | \(-0.362793\pi\) |
−0.139691 | + | 0.990195i | \(0.544611\pi\) | |||||||
\(692\) | −4602.19 | − | 2101.75i | −0.252817 | − | 0.115458i | ||||
\(693\) | 2769.36 | + | 10935.1i | 0.151803 | + | 0.599407i | ||||
\(694\) | 5409.95 | − | 37627.0i | 0.295906 | − | 2.05807i | ||||
\(695\) | −9822.25 | − | 15283.7i | −0.536085 | − | 0.834165i | ||||
\(696\) | 2306.09 | + | 3740.99i | 0.125592 | + | 0.203738i | ||||
\(697\) | 735.152 | − | 2503.70i | 0.0399510 | − | 0.136061i | ||||
\(698\) | 34376.9 | + | 22092.7i | 1.86416 | + | 1.19803i | ||||
\(699\) | −1132.40 | − | 1357.55i | −0.0612751 | − | 0.0734584i | ||||
\(700\) | − | 2539.67i | − | 0.137129i | ||||||
\(701\) | 11548.0 | + | 7421.46i | 0.622201 | + | 0.399864i | 0.813415 | − | 0.581684i | \(-0.197606\pi\) |
−0.191214 | + | 0.981548i | \(0.561242\pi\) | |||||||
\(702\) | 12755.0 | − | 1105.55i | 0.685764 | − | 0.0594393i | ||||
\(703\) | −531.403 | − | 613.272i | −0.0285096 | − | 0.0329018i | ||||
\(704\) | 2860.33 | + | 3300.99i | 0.153129 | + | 0.176720i | ||||
\(705\) | −244.496 | − | 894.487i | −0.0130614 | − | 0.0477849i | ||||
\(706\) | 14729.0 | + | 9465.72i | 0.785172 | + | 0.504599i | ||||
\(707\) | 1724.43i | 0.0917311i | ||||||||
\(708\) | 18891.8 | − | 15758.6i | 1.00282 | − | 0.836501i | ||||
\(709\) | 6538.96 | + | 4202.34i | 0.346369 | + | 0.222598i | 0.702245 | − | 0.711935i | \(-0.252181\pi\) |
−0.355876 | + | 0.934533i | \(0.615817\pi\) | |||||||
\(710\) | −4204.68 | + | 14319.8i | −0.222252 | + | 0.756921i | ||||
\(711\) | −3031.21 | + | 9051.11i | −0.159886 | + | 0.477417i | ||||
\(712\) | −291.044 | − | 452.873i | −0.0153193 | − | 0.0238373i | ||||
\(713\) | −184.429 | + | 1282.73i | −0.00968713 | + | 0.0673755i | ||||
\(714\) | −1048.26 | + | 2185.79i | −0.0549443 | + | 0.114568i | ||||
\(715\) | −6712.80 | − | 3065.63i | −0.351111 | − | 0.160347i | ||||
\(716\) | 14586.5 | + | 4282.98i | 0.761345 | + | 0.223551i | ||||
\(717\) | 9683.65 | − | 20191.9i | 0.504383 | − | 1.05172i | ||||
\(718\) | 2557.86 | − | 2216.40i | 0.132950 | − | 0.115202i | ||||
\(719\) | 22181.7 | − | 3189.24i | 1.15054 | − | 0.165422i | 0.459457 | − | 0.888200i | \(-0.348044\pi\) |
0.691081 | + | 0.722777i | \(0.257135\pi\) | |||||||
\(720\) | 24326.1 | + | 8146.80i | 1.25914 | + | 0.421685i | ||||
\(721\) | −2315.52 | − | 7885.94i | −0.119604 | − | 0.407334i | ||||
\(722\) | 14020.1 | + | 16180.1i | 0.722681 | + | 0.834019i | ||||
\(723\) | 19509.3 | − | 21678.6i | 1.00354 | − | 1.11512i | ||||
\(724\) | 10465.3 | − | 6725.63i | 0.537209 | − | 0.345243i | ||||
\(725\) | 1376.40 | + | 2141.72i | 0.0705078 | + | 0.109712i | ||||
\(726\) | 11812.0 | + | 7908.41i | 0.603834 | + | 0.404282i | ||||
\(727\) | 28393.8 | + | 12967.0i | 1.44851 | + | 0.661513i | 0.975592 | − | 0.219592i | \(-0.0704725\pi\) |
0.472921 | + | 0.881105i | \(0.343200\pi\) | |||||||
\(728\) | −2416.23 | + | 2788.47i | −0.123010 | + | 0.141961i | ||||
\(729\) | 17649.9 | − | 8712.10i | 0.896709 | − | 0.442621i | ||||
\(730\) | −14968.2 | + | 17274.2i | −0.758902 | + | 0.875819i | ||||
\(731\) | −3106.71 | − | 912.212i | −0.157190 | − | 0.0461551i | ||||
\(732\) | −1528.19 | + | 2282.50i | −0.0771632 | + | 0.115251i | ||||
\(733\) | 12794.3 | − | 1839.55i | 0.644706 | − | 0.0926948i | 0.187797 | − | 0.982208i | \(-0.439865\pi\) |
0.456910 | + | 0.889513i | \(0.348956\pi\) | |||||||
\(734\) | 33725.9 | − | 15402.1i | 1.69597 | − | 0.774525i | ||||
\(735\) | −3027.98 | − | 56.8719i | −0.151958 | − | 0.00285408i | ||||
\(736\) | 3187.58i | 0.159641i | ||||||||
\(737\) | 13271.0 | − | 1216.90i | 0.663289 | − | 0.0608211i | ||||
\(738\) | −6356.71 | + | 34861.7i | −0.317065 | + | 1.73886i | ||||
\(739\) | 130.040 | + | 112.680i | 0.00647307 | + | 0.00560895i | 0.658091 | − | 0.752938i | \(-0.271364\pi\) |
−0.651618 | + | 0.758547i | \(0.725910\pi\) | |||||||
\(740\) | 717.698 | + | 1571.54i | 0.0356529 | + | 0.0780689i | ||||
\(741\) | −3111.85 | − | 2800.46i | −0.154274 | − | 0.138836i | ||||
\(742\) | 7524.85 | + | 25627.3i | 0.372299 | + | 1.26793i | ||||
\(743\) | −2840.41 | + | 9673.56i | −0.140249 | + | 0.477643i | −0.999420 | − | 0.0340446i | \(-0.989161\pi\) |
0.859172 | + | 0.511687i | \(0.170979\pi\) | |||||||
\(744\) | −74.4487 | + | 3963.81i | −0.00366858 | + | 0.195323i | ||||
\(745\) | −11778.8 | + | 18328.1i | −0.579249 | + | 0.901329i | ||||
\(746\) | −24444.8 | − | 21181.5i | −1.19971 | − | 1.03956i | ||||
\(747\) | −16663.8 | + | 23905.3i | −0.816191 | + | 1.17088i | ||||
\(748\) | −284.026 | − | 967.302i | −0.0138837 | − | 0.0472835i | ||||
\(749\) | 19466.2 | − | 12510.2i | 0.949640 | − | 0.610296i | ||||
\(750\) | −22256.6 | − | 6991.70i | −1.08359 | − | 0.340401i | ||||
\(751\) | −1389.13 | − | 9661.58i | −0.0674965 | − | 0.469449i | −0.995336 | − | 0.0964690i | \(-0.969245\pi\) |
0.927839 | − | 0.372980i | \(-0.121664\pi\) | |||||||
\(752\) | 847.800 | − | 734.623i | 0.0411118 | − | 0.0356236i | ||||
\(753\) | 9341.73 | + | 6254.51i | 0.452100 | + | 0.302692i | ||||
\(754\) | −1264.25 | + | 8793.05i | −0.0610627 | + | 0.424700i | ||||
\(755\) | −4937.09 | − | 34338.2i | −0.237986 | − | 1.65523i | ||||
\(756\) | 4568.39 | − | 12835.4i | 0.219776 | − | 0.617487i | ||||
\(757\) | 16659.3 | − | 7608.06i | 0.799859 | − | 0.365284i | 0.0268190 | − | 0.999640i | \(-0.491462\pi\) |
0.773040 | + | 0.634357i | \(0.218735\pi\) | |||||||
\(758\) | −7546.47 | + | 25700.9i | −0.361610 | + | 1.23153i | ||||
\(759\) | −491.288 | − | 1797.37i | −0.0234949 | − | 0.0859558i | ||||
\(760\) | −1447.28 | − | 3169.09i | −0.0690766 | − | 0.151257i | ||||
\(761\) | −4182.41 | − | 601.339i | −0.199228 | − | 0.0286446i | 0.0419786 | − | 0.999119i | \(-0.486634\pi\) |
−0.241206 | + | 0.970474i | \(0.577543\pi\) | |||||||
\(762\) | −21810.3 | − | 6851.51i | −1.03688 | − | 0.325727i | ||||
\(763\) | 1892.86 | − | 13165.1i | 0.0898113 | − | 0.624651i | ||||
\(764\) | −25050.8 | − | 7355.59i | −1.18627 | − | 0.348319i | ||||
\(765\) | −1781.39 | − | 1664.73i | −0.0841912 | − | 0.0786776i | ||||
\(766\) | 3861.50 | 0.182143 | ||||||||
\(767\) | −20705.3 | −0.974741 | ||||||||
\(768\) | 3450.95 | + | 27683.0i | 0.162142 | + | 1.30068i | ||||
\(769\) | −28847.5 | − | 13174.2i | −1.35275 | − | 0.617781i | −0.398606 | − | 0.917122i | \(-0.630506\pi\) |
−0.954146 | + | 0.299341i | \(0.903233\pi\) | |||||||
\(770\) | −14341.1 | + | 12426.6i | −0.671191 | + | 0.581590i | ||||
\(771\) | −13435.4 | − | 2189.97i | −0.627578 | − | 0.102296i | ||||
\(772\) | 5879.11 | − | 12873.5i | 0.274085 | − | 0.600163i | ||||
\(773\) | 14430.6 | − | 22454.5i | 0.671453 | − | 1.04480i | −0.323670 | − | 0.946170i | \(-0.604917\pi\) |
0.995124 | − | 0.0986321i | \(-0.0314467\pi\) | |||||||
\(774\) | 43258.1 | + | 7887.72i | 2.00889 | + | 0.366302i | ||||
\(775\) | 2296.67i | 0.106450i | ||||||||
\(776\) | −4141.49 | + | 6444.29i | −0.191586 | + | 0.298114i | ||||
\(777\) | −2038.74 | + | 885.177i | −0.0941305 | + | 0.0408694i | ||||
\(778\) | −14468.0 | − | 2080.19i | −0.666714 | − | 0.0958590i | ||||
\(779\) | 9748.00 | − | 6264.66i | 0.448342 | − | 0.288132i | ||||
\(780\) | 4677.12 | + | 7587.34i | 0.214702 | + | 0.348295i | ||||
\(781\) | 7263.15 | − | 3316.97i | 0.332773 | − | 0.151972i | ||||
\(782\) | 166.344 | − | 364.242i | 0.00760670 | − | 0.0166563i | ||||
\(783\) | 3103.74 | + | 13300.1i | 0.141658 | + | 0.607031i | ||||
\(784\) | −1521.97 | − | 3332.66i | −0.0693319 | − | 0.151816i | ||||
\(785\) | 27080.3 | + | 31252.3i | 1.23126 | + | 1.42095i | ||||
\(786\) | −29857.7 | − | 26870.0i | −1.35495 | − | 1.21936i | ||||
\(787\) | −17477.3 | − | 2512.85i | −0.791610 | − | 0.113816i | −0.265364 | − | 0.964148i | \(-0.585492\pi\) |
−0.526247 | + | 0.850332i | \(0.676401\pi\) | |||||||
\(788\) | −900.174 | + | 264.315i | −0.0406947 | + | 0.0119490i | ||||
\(789\) | 25241.1 | + | 4114.31i | 1.13892 | + | 0.185644i | ||||
\(790\) | −15893.7 | + | 2285.17i | −0.715788 | + | 0.102915i | ||||
\(791\) | −1897.49 | − | 2952.55i | −0.0852932 | − | 0.132719i | ||||
\(792\) | −2171.59 | − | 5270.40i | −0.0974296 | − | 0.236459i | ||||
\(793\) | 2218.18 | − | 651.317i | 0.0993315 | − | 0.0291664i | ||||
\(794\) | 3887.69 | − | 8512.86i | 0.173765 | − | 0.380491i | ||||
\(795\) | −26858.8 | − | 504.466i | −1.19822 | − | 0.0225051i | ||||
\(796\) | 18710.1 | + | 12024.2i | 0.833116 | + | 0.535411i | ||||
\(797\) | 3602.85 | + | 3121.88i | 0.160125 | + | 0.138749i | 0.731238 | − | 0.682122i | \(-0.238943\pi\) |
−0.571113 | + | 0.820871i | \(0.693488\pi\) | |||||||
\(798\) | −9874.34 | + | 4287.22i | −0.438030 | + | 0.190183i | ||||
\(799\) | −102.298 | + | 30.0373i | −0.00452945 | + | 0.00132997i | ||||
\(800\) | 803.955 | + | 5591.63i | 0.0355301 | + | 0.247117i | ||||
\(801\) | −410.725 | − | 1621.79i | −0.0181177 | − | 0.0715394i | ||||
\(802\) | 8676.68 | − | 10013.4i | 0.382025 | − | 0.440880i | ||||
\(803\) | 12228.8 | 0.537416 | ||||||||
\(804\) | −14136.6 | − | 7696.07i | −0.620101 | − | 0.337586i | ||||
\(805\) | −3119.23 | −0.136569 | ||||||||
\(806\) | −5248.03 | + | 6056.54i | −0.229347 | + | 0.264681i | ||||
\(807\) | 2683.73 | + | 1287.06i | 0.117065 | + | 0.0561423i | ||||
\(808\) | −124.014 | − | 862.533i | −0.00539948 | − | 0.0375542i | ||||
\(809\) | 2187.86 | − | 642.414i | 0.0950817 | − | 0.0279185i | −0.233846 | − | 0.972274i | \(-0.575131\pi\) |
0.328927 | + | 0.944355i | \(0.393313\pi\) | |||||||
\(810\) | 26432.9 | + | 19941.2i | 1.14661 | + | 0.865017i | ||||
\(811\) | −4895.80 | − | 4242.23i | −0.211979 | − | 0.183681i | 0.542399 | − | 0.840121i | \(-0.317516\pi\) |
−0.754378 | + | 0.656440i | \(0.772061\pi\) | |||||||
\(812\) | 7952.70 | + | 5110.89i | 0.343701 | + | 0.220883i | ||||
\(813\) | 521.772 | − | 27780.3i | 0.0225084 | − | 1.19840i | ||||
\(814\) | 927.824 | − | 2031.65i | 0.0399511 | − | 0.0874807i | ||||
\(815\) | 29839.5 | − | 8761.66i | 1.28249 | − | 0.376574i | ||||
\(816\) | 883.990 | − | 2813.99i | 0.0379238 | − | 0.120722i | ||||
\(817\) | −7773.49 | − | 12095.8i | −0.332877 | − | 0.517966i | ||||
\(818\) | −5514.43 | + | 792.855i | −0.235706 | + | 0.0338894i | ||||
\(819\) | −9872.24 | + | 5832.67i | −0.421201 | + | 0.248852i | ||||
\(820\) | −23670.9 | + | 6950.41i | −1.00808 | + | 0.295999i | ||||
\(821\) | 10457.1 | + | 1503.51i | 0.444527 | + | 0.0639133i | 0.360944 | − | 0.932588i | \(-0.382455\pi\) |
0.0835828 | + | 0.996501i | \(0.473364\pi\) | |||||||
\(822\) | 25798.3 | − | 28666.9i | 1.09467 | − | 1.21639i | ||||
\(823\) | 26653.1 | + | 30759.3i | 1.12888 | + | 1.30280i | 0.947634 | + | 0.319358i | \(0.103467\pi\) |
0.181245 | + | 0.983438i | \(0.441987\pi\) | |||||||
\(824\) | 1725.31 | + | 3777.90i | 0.0729418 | + | 0.159720i | ||||
\(825\) | −1315.14 | − | 3029.02i | −0.0554996 | − | 0.127827i | ||||
\(826\) | −22117.2 | + | 48429.9i | −0.931665 | + | 2.04006i | ||||
\(827\) | 18299.1 | − | 8356.92i | 0.769434 | − | 0.351389i | 0.00828500 | − | 0.999966i | \(-0.497363\pi\) |
0.761149 | + | 0.648577i | \(0.224635\pi\) | |||||||
\(828\) | −714.669 | + | 2133.98i | −0.0299957 | + | 0.0895665i | ||||
\(829\) | −5185.03 | + | 3332.21i | −0.217230 | + | 0.139605i | −0.644731 | − | 0.764410i | \(-0.723030\pi\) |
0.427501 | + | 0.904015i | \(0.359394\pi\) | |||||||
\(830\) | −48521.2 | − | 6976.29i | −2.02915 | − | 0.291748i | ||||
\(831\) | −14762.5 | − | 34001.0i | −0.616252 | − | 1.41935i | ||||
\(832\) | −2400.42 | + | 3735.12i | −0.100023 | + | 0.155639i | ||||
\(833\) | 348.203i | 0.0144832i | ||||||||
\(834\) | 21783.5 | − | 18170.7i | 0.904439 | − | 0.754435i | ||||
\(835\) | 15770.2 | − | 24538.9i | 0.653593 | − | 1.01701i | ||||
\(836\) | 1859.73 | − | 4072.25i | 0.0769381 | − | 0.168471i | ||||
\(837\) | −4131.28 | + | 11607.3i | −0.170607 | + | 0.479341i | ||||
\(838\) | −20818.4 | + | 18039.3i | −0.858187 | + | 0.743623i | ||||
\(839\) | −23869.7 | − | 10900.9i | −0.982209 | − | 0.448560i | −0.141436 | − | 0.989947i | \(-0.545172\pi\) |
−0.840773 | + | 0.541387i | \(0.817899\pi\) | |||||||
\(840\) | −9469.10 | + | 1180.41i | −0.388947 | + | 0.0484859i | ||||
\(841\) | 14912.6 | 0.611446 | ||||||||
\(842\) | 12235.9 | 0.500805 | ||||||||
\(843\) | 2071.58 | + | 16617.9i | 0.0846371 | + | 0.678946i | ||||
\(844\) | 4929.02 | + | 1447.29i | 0.201023 | + | 0.0590258i | ||||
\(845\) | −2776.46 | + | 19310.7i | −0.113033 | + | 0.786164i | ||||
\(846\) | 1338.70 | − | 551.593i | 0.0544036 | − | 0.0224163i | ||||
\(847\) | −12601.7 | − | 1811.85i | −0.511216 | − | 0.0735017i | ||||
\(848\) | −13500.2 | − | 29561.4i | −0.546697 | − | 1.19710i | ||||
\(849\) | 12972.0 | − | 3545.74i | 0.524381 | − | 0.143333i | ||||
\(850\) | 199.932 | − | 680.905i | 0.00806776 | − | 0.0274763i | ||||
\(851\) | 333.958 | − | 152.514i | 0.0134523 | − | 0.00614348i | ||||
\(852\) | −9518.21 | − | 1551.47i | −0.382733 | − | 0.0623857i | ||||
\(853\) | 3170.40 | + | 22050.6i | 0.127260 | + | 0.885110i | 0.949006 | + | 0.315257i | \(0.102091\pi\) |
−0.821747 | + | 0.569853i | \(0.807000\pi\) | |||||||
\(854\) | 846.001 | − | 5884.07i | 0.0338988 | − | 0.235771i | ||||
\(855\) | −1137.34 | − | 10767.2i | −0.0454927 | − | 0.430679i | ||||
\(856\) | −8837.02 | + | 7657.32i | −0.352854 | + | 0.305750i | ||||
\(857\) | −2330.92 | − | 16211.9i | −0.0929087 | − | 0.646194i | −0.982058 | − | 0.188577i | \(-0.939612\pi\) |
0.889150 | − | 0.457617i | \(-0.151297\pi\) | |||||||
\(858\) | 3453.35 | − | 10993.0i | 0.137407 | − | 0.437406i | ||||
\(859\) | −9512.91 | + | 6113.58i | −0.377854 | + | 0.242832i | −0.715758 | − | 0.698349i | \(-0.753918\pi\) |
0.337904 | + | 0.941181i | \(0.390282\pi\) | |||||||
\(860\) | 8624.40 | + | 29372.0i | 0.341965 | + | 1.16463i | ||||
\(861\) | −8368.14 | − | 30614.7i | −0.331226 | − | 1.21179i | ||||
\(862\) | −31673.8 | − | 27445.5i | −1.25152 | − | 1.08445i | ||||
\(863\) | 15242.2 | − | 23717.3i | 0.601217 | − | 0.935512i | −0.398613 | − | 0.917119i | \(-0.630508\pi\) |
0.999831 | − | 0.0183934i | \(-0.00585514\pi\) | |||||||
\(864\) | −5995.11 | + | 29706.1i | −0.236062 | + | 1.16970i | ||||
\(865\) | −3102.60 | + | 10566.5i | −0.121956 | + | 0.415342i | ||||
\(866\) | 16240.2 | + | 55309.2i | 0.637259 | + | 2.17030i | ||||
\(867\) | 16889.6 | − | 18767.6i | 0.661592 | − | 0.735156i | ||||
\(868\) | 3542.70 | + | 7757.43i | 0.138533 | + | 0.303346i | ||||
\(869\) | 6492.46 | + | 5625.75i | 0.253442 | + | 0.219609i | ||||
\(870\) | −17642.7 | + | 14716.6i | −0.687519 | + | 0.573492i | ||||
\(871\) | 4987.48 | + | 12595.1i | 0.194023 | + | 0.489977i | ||||
\(872\) | 6721.11i | 0.261015i | ||||||||
\(873\) | −18564.3 | + | 14903.2i | −0.719709 | + | 0.577774i | ||||
\(874\) | 1617.48 | − | 738.678i | 0.0625996 | − | 0.0285883i | ||||
\(875\) | 20681.3 | − | 2973.52i | 0.799034 | − | 0.114884i | ||||
\(876\) | −12273.0 | − | 8217.06i | −0.473362 | − | 0.316928i | ||||
\(877\) | 36378.6 | + | 10681.7i | 1.40071 | + | 0.411284i | 0.892926 | − | 0.450203i | \(-0.148648\pi\) |
0.507779 | + | 0.861487i | \(0.330467\pi\) | |||||||
\(878\) | 29970.3 | − | 34587.6i | 1.15199 | − | 1.32947i | ||||
\(879\) | 10525.0 | − | 1312.04i | 0.403867 | − | 0.0503459i | ||||
\(880\) | 15120.0 | − | 17449.4i | 0.579198 | − | 0.668430i | ||||
\(881\) | −31908.0 | − | 14571.9i | −1.22021 | − | 0.557253i | −0.301989 | − | 0.953311i | \(-0.597650\pi\) |
−0.918225 | + | 0.396058i | \(0.870378\pi\) | |||||||
\(882\) | −496.732 | − | 4702.56i | −0.0189635 | − | 0.179528i | ||||
\(883\) | −14096.3 | − | 21934.3i | −0.537235 | − | 0.835954i | 0.461453 | − | 0.887165i | \(-0.347328\pi\) |
−0.998688 | + | 0.0512107i | \(0.983692\pi\) | |||||||
\(884\) | 862.101 | − | 554.039i | 0.0328005 | − | 0.0210796i | ||||
\(885\) | −39803.9 | − | 35820.9i | −1.51186 | − | 1.36057i | ||||
\(886\) | 20611.2 | + | 23786.6i | 0.781544 | + | 0.901950i | ||||
\(887\) | −12910.3 | − | 43968.6i | −0.488711 | − | 1.66440i | −0.721925 | − | 0.691971i | \(-0.756743\pi\) |
0.233214 | − | 0.972425i | \(-0.425076\pi\) | |||||||
\(888\) | 956.088 | − | 589.369i | 0.0361309 | − | 0.0222724i | ||||
\(889\) | 20266.6 | − | 2913.90i | 0.764589 | − | 0.109931i | ||||
\(890\) | 2126.93 | − | 1843.00i | 0.0801067 | − | 0.0694129i | ||||
\(891\) | −1198.03 | − | 17674.3i | −0.0450453 | − | 0.664546i | ||||
\(892\) | −18277.8 | − | 5366.83i | −0.686081 | − | 0.201452i | ||||
\(893\) | −430.663 | − | 196.677i | −0.0161384 | − | 0.00737016i | ||||
\(894\) | −30672.7 | − | 14710.0i | −1.14748 | − | 0.550310i | ||||
\(895\) | 4709.22 | − | 32753.4i | 0.175879 | − | 1.22327i | ||||
\(896\) | −9890.19 | − | 15389.4i | −0.368759 | − | 0.573800i | ||||
\(897\) | 1612.34 | − | 993.907i | 0.0600161 | − | 0.0369962i | ||||
\(898\) | 12777.1 | − | 43514.9i | 0.474809 | − | 1.61705i | ||||
\(899\) | −7191.78 | − | 4621.87i | −0.266807 | − | 0.171466i | ||||
\(900\) | −715.445 | + | 3923.67i | −0.0264980 | + | 0.145321i | ||||
\(901\) | 3088.64i | 0.114204i | ||||||||
\(902\) | 26830.2 | + | 17242.7i | 0.990407 | + | 0.636496i | ||||
\(903\) | −37988.2 | + | 10383.6i | −1.39997 | + | 0.382663i | ||||
\(904\) | 1161.43 | + | 1340.36i | 0.0427307 | + | 0.0493139i | ||||
\(905\) | −17732.2 | − | 20464.1i | −0.651313 | − | 0.751655i | ||||
\(906\) | 52250.3 | − | 14281.9i | 1.91600 | − | 0.523714i | ||||
\(907\) | −12359.3 | − | 7942.87i | −0.452465 | − | 0.290781i | 0.294492 | − | 0.955654i | \(-0.404849\pi\) |
−0.746957 | + | 0.664873i | \(0.768486\pi\) | |||||||
\(908\) | 32156.1i | 1.17526i | ||||||||
\(909\) | 485.785 | − | 2664.16i | 0.0177255 | − | 0.0972107i | ||||
\(910\) | −16227.1 | − | 10428.5i | −0.591126 | − | 0.379893i | ||||
\(911\) | −9969.18 | + | 33951.9i | −0.362561 | + | 1.23477i | 0.553200 | + | 0.833049i | \(0.313407\pi\) |
−0.915761 | + | 0.401723i | \(0.868412\pi\) | |||||||
\(912\) | 11149.8 | − | 6873.18i | 0.404833 | − | 0.249555i | ||||
\(913\) | 14179.0 | + | 22063.0i | 0.513972 | + | 0.799757i | ||||
\(914\) | −2768.98 | + | 19258.7i | −0.100208 | + | 0.696959i | ||||
\(915\) | 5391.03 | + | 2585.43i | 0.194778 | + | 0.0934118i | ||||
\(916\) | −15757.4 | − | 7196.18i | −0.568385 | − | 0.259573i | ||||
\(917\) | 34518.3 | + | 10135.5i | 1.24307 | + | 0.364998i | ||||
\(918\) | 2235.27 | − | 3081.63i | 0.0803647 | − | 0.110794i | ||||
\(919\) | 22398.8 | − | 19408.7i | 0.803991 | − | 0.696663i | −0.152538 | − | 0.988298i | \(-0.548745\pi\) |
0.956530 | + | 0.291635i | \(0.0941993\pi\) | |||||||
\(920\) | 1560.19 | − | 224.321i | 0.0559108 | − | 0.00803876i | ||||
\(921\) | 4745.54 | − | 2925.33i | 0.169784 | − | 0.104661i | ||||
\(922\) | 17617.4 | + | 59999.2i | 0.629281 | + | 2.14313i | ||||
\(923\) | 5315.20 | + | 6134.06i | 0.189547 | + | 0.218749i | ||||
\(924\) | −9114.48 | − | 8202.43i | −0.324507 | − | 0.292035i | ||||
\(925\) | 547.361 | − | 351.767i | 0.0194563 | − | 0.0125038i | ||||
\(926\) | −35603.6 | − | 55400.3i | −1.26351 | − | 1.96606i | ||||
\(927\) | 1355.83 | + | 12835.7i | 0.0480382 | + | 0.454777i | ||||
\(928\) | −19127.5 | − | 8735.22i | −0.676605 | − | 0.308995i | ||||
\(929\) | −12917.8 | + | 14908.0i | −0.456212 | + | 0.526496i | −0.936525 | − | 0.350601i | \(-0.885977\pi\) |
0.480313 | + | 0.877097i | \(0.340523\pi\) | |||||||
\(930\) | −20566.8 | + | 2563.85i | −0.725175 | + | 0.0904000i | ||||
\(931\) | −1012.58 | + | 1168.58i | −0.0356456 | + | 0.0411372i | ||||
\(932\) | 1843.84 | + | 541.400i | 0.0648036 | + | 0.0190280i | ||||
\(933\) | −23437.1 | − | 15691.7i | −0.822396 | − | 0.550614i | ||||
\(934\) | −30396.4 | + | 4370.35i | −1.06488 | + | 0.153107i | ||||
\(935\) | −1996.07 | + | 911.574i | −0.0698165 | + | 0.0318841i | ||||
\(936\) | 4518.48 | − | 3627.38i | 0.157790 | − | 0.126672i | ||||
\(937\) | 48962.6i | 1.70708i | 0.521024 | + | 0.853542i | \(0.325550\pi\) | ||||
−0.521024 | + | 0.853542i | \(0.674450\pi\) | |||||||
\(938\) | 34787.7 | + | 1788.24i | 1.21094 | + | 0.0622474i | ||||
\(939\) | −36517.9 | + | 30461.3i | −1.26913 | + | 1.05864i | ||||
\(940\) | 761.789 | + | 660.094i | 0.0264328 | + | 0.0229041i | ||||
\(941\) | 1126.82 | + | 2467.40i | 0.0390366 | + | 0.0854782i | 0.928146 | − | 0.372217i | \(-0.121402\pi\) |
−0.889109 | + | 0.457695i | \(0.848675\pi\) | |||||||
\(942\) | −43192.0 | + | 47994.6i | −1.49392 | + | 1.66003i | ||||
\(943\) | 1476.99 | + | 5030.16i | 0.0510046 | + | 0.173706i | ||||
\(944\) | 18250.8 | − | 62156.6i | 0.629252 | − | 2.14304i | ||||
\(945\) | −29069.1 | − | 5866.56i | −1.00065 | − | 0.201946i | ||||
\(946\) | 21395.6 | − | 33292.2i | 0.735339 | − | 1.14421i | ||||
\(947\) | −15340.5 | − | 13292.6i | −0.526399 | − | 0.456128i | 0.350665 | − | 0.936501i | \(-0.385956\pi\) |
−0.877064 | + | 0.480373i | \(0.840501\pi\) | |||||||
\(948\) | −2735.73 | − | 10008.6i | −0.0937262 | − | 0.342896i | ||||
\(949\) | 3502.13 | + | 11927.1i | 0.119793 | + | 0.407978i | ||||
\(950\) | 2651.06 | − | 1703.73i | 0.0905388 | − | 0.0581857i | ||||
\(951\) | 593.759 | − | 1890.10i | 0.0202460 | − | 0.0644488i | ||||
\(952\) | 156.139 | + | 1085.97i | 0.00531564 | + | 0.0369711i | ||||
\(953\) | 23054.3 | − | 19976.7i | 0.783633 | − | 0.679022i | −0.168161 | − | 0.985760i | \(-0.553783\pi\) |
0.951794 | + | 0.306738i | \(0.0992374\pi\) | |||||||
\(954\) | −4406.11 | − | 41712.7i | −0.149532 | − | 1.41562i | ||||
\(955\) | −8087.61 | + | 56250.5i | −0.274041 | + | 1.90599i | ||||
\(956\) | 3464.30 | + | 24094.8i | 0.117200 | + | 0.815147i | ||||
\(957\) | 12131.7 | + | 1977.47i | 0.409781 | + | 0.0667946i | ||||
\(958\) | −24280.5 | + | 11088.5i | −0.818860 | + | 0.373961i | ||||
\(959\) | −9731.26 | + | 33141.6i | −0.327673 | + | 1.11595i | ||||
\(960\) | −11076.4 | + | 3027.60i | −0.372386 | + | 0.101787i | ||||
\(961\) | 9171.90 | + | 20083.7i | 0.307875 | + | 0.674152i | ||||
\(962\) | 2247.25 | + | 323.106i | 0.0753162 | + | 0.0108288i | ||||
\(963\) | −33598.5 | + | 13843.8i | −1.12430 | + | 0.463251i | ||||
\(964\) | −4511.72 | + | 31379.7i | −0.150739 | + | 1.04841i | ||||
\(965\) | −29557.1 | − | 8678.73i | −0.985985 | − | 0.289511i | ||||
\(966\) | −602.473 | − | 4832.95i | −0.0200665 | − | 0.160971i | ||||
\(967\) | 25581.5 | 0.850720 | 0.425360 | − | 0.905024i | \(-0.360148\pi\) | ||||
0.425360 | + | 0.905024i | \(0.360148\pi\) | |||||||
\(968\) | 6433.48 | 0.213616 | ||||||||
\(969\) | −1235.28 | + | 153.990i | −0.0409526 | + | 0.00510513i | ||||
\(970\) | −36428.4 | − | 16636.3i | −1.20582 | − | 0.550680i | ||||
\(971\) | 13210.5 | − | 11447.0i | 0.436607 | − | 0.378322i | −0.408642 | − | 0.912695i | \(-0.633997\pi\) |
0.845249 | + | 0.534372i | \(0.179452\pi\) | |||||||
\(972\) | −10673.8 | + | 18543.2i | −0.352224 | + | 0.611905i | ||||
\(973\) | −10554.2 | + | 23110.4i | −0.347740 | + | 0.761445i | ||||
\(974\) | −375.496 | + | 584.284i | −0.0123529 | + | 0.0192214i | ||||
\(975\) | 2577.67 | − | 2150.16i | 0.0846683 | − | 0.0706258i | ||||
\(976\) | 7233.01i | 0.237216i | ||||||||
\(977\) | −20292.1 | + | 31575.1i | −0.664485 | + | 1.03396i | 0.331414 | + | 0.943485i | \(0.392474\pi\) |
−0.995899 | + | 0.0904733i | \(0.971162\pi\) | |||||||
\(978\) | 19338.8 | + | 44541.2i | 0.632297 | + | 1.45631i | ||||
\(979\) | −1490.38 | − | 214.284i | −0.0486543 | − | 0.00699544i | ||||
\(980\) | 2769.45 | − | 1779.81i | 0.0902721 | − | 0.0580144i | ||||
\(981\) | −6633.07 | + | 19806.2i | −0.215879 | + | 0.644610i | ||||
\(982\) | 22006.7 | − | 10050.1i | 0.715136 | − | 0.326592i | ||||
\(983\) | −7750.20 | + | 16970.6i | −0.251468 | + | 0.550638i | −0.992700 | − | 0.120611i | \(-0.961515\pi\) |
0.741232 | + | 0.671249i | \(0.234242\pi\) | |||||||
\(984\) | 6387.29 | + | 14711.2i | 0.206930 | + | 0.476602i | ||||
\(985\) | 848.314 | + | 1857.55i | 0.0274412 | + | 0.0600877i | ||||
\(986\) | 1729.83 | + | 1996.33i | 0.0558712 | + | 0.0644788i | ||||
\(987\) | −867.452 | + | 963.907i | −0.0279750 | + | 0.0310856i | ||||
\(988\) | 4504.40 | + | 647.635i | 0.145045 | + | 0.0208543i | ||||
\(989\) | 6241.67 | − | 1832.72i | 0.200681 | − | 0.0589252i | ||||
\(990\) | 25656.9 | − | 15158.5i | 0.823667 | − | 0.486635i | ||||
\(991\) | 21437.5 | − | 3082.25i | 0.687170 | − | 0.0988001i | 0.210119 | − | 0.977676i | \(-0.432615\pi\) |
0.477051 | + | 0.878876i | \(0.341706\pi\) | |||||||
\(992\) | −10255.7 | − | 15958.2i | −0.328244 | − | 0.510758i | ||||
\(993\) | −919.009 | + | 2925.46i | −0.0293694 | + | 0.0934913i | ||||
\(994\) | 20025.2 | − | 5879.94i | 0.638996 | − | 0.187626i | ||||
\(995\) | 20110.4 | − | 44035.6i | 0.640745 | − | 1.40304i | ||||
\(996\) | 594.833 | − | 31670.2i | 0.0189237 | − | 1.00754i | ||||
\(997\) | 35826.5 | + | 23024.3i | 1.13805 | + | 0.731380i | 0.967225 | − | 0.253922i | \(-0.0817205\pi\) |
0.170825 | + | 0.985301i | \(0.445357\pi\) | |||||||
\(998\) | −9710.28 | − | 8414.01i | −0.307990 | − | 0.266874i | ||||
\(999\) | 3399.11 | − | 793.225i | 0.107651 | − | 0.0251216i |
(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 | 201.4.j.b.5.13 | ✓ | 640 | |
3.2 | odd | 2 | inner | 201.4.j.b.5.52 | yes | 640 | |
67.27 | odd | 22 | inner | 201.4.j.b.161.52 | yes | 640 | |
201.161 | even | 22 | inner | 201.4.j.b.161.13 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.j.b.5.13 | ✓ | 640 | 1.1 | even | 1 | trivial | |
201.4.j.b.5.52 | yes | 640 | 3.2 | odd | 2 | inner | |
201.4.j.b.161.13 | yes | 640 | 201.161 | even | 22 | inner | |
201.4.j.b.161.52 | yes | 640 | 67.27 | odd | 22 | inner |