Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(7,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.n (of order \(66\), degree \(20\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Character | \(\chi\) | \(=\) | 201.7 |
Dual form | 201.3.n.b.115.2 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{23}{66}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.35193 | − | 2.62237i | −0.675964 | − | 1.31119i | −0.938170 | − | 0.346175i | \(-0.887480\pi\) |
0.262206 | − | 0.965012i | \(-0.415550\pi\) | |||||||
\(3\) | −0.487975 | + | 1.66189i | −0.162658 | + | 0.553964i | ||||
\(4\) | −2.72891 | + | 3.83222i | −0.682228 | + | 0.958055i | ||||
\(5\) | −4.43909 | − | 3.84649i | −0.887818 | − | 0.769298i | 0.0860794 | − | 0.996288i | \(-0.472566\pi\) |
−0.973897 | + | 0.226990i | \(0.927112\pi\) | |||||||
\(6\) | 5.01781 | − | 0.967103i | 0.836301 | − | 0.161184i | ||||
\(7\) | 1.03058 | + | 0.0490928i | 0.147226 | + | 0.00701326i | 0.121066 | − | 0.992644i | \(-0.461369\pi\) |
0.0261607 | + | 0.999658i | \(0.491672\pi\) | |||||||
\(8\) | 2.05754 | + | 0.295830i | 0.257192 | + | 0.0369787i | ||||
\(9\) | −2.52376 | − | 1.62192i | −0.280418 | − | 0.180214i | ||||
\(10\) | −4.08562 | + | 16.8411i | −0.408562 | + | 1.68411i | ||||
\(11\) | 0.00265999 | − | 0.0138013i | 0.000241817 | − | 0.00125467i | −0.981808 | − | 0.189879i | \(-0.939191\pi\) |
0.982049 | + | 0.188624i | \(0.0604027\pi\) | |||||||
\(12\) | −5.03709 | − | 6.40518i | −0.419758 | − | 0.533765i | ||||
\(13\) | −1.94340 | + | 4.85437i | −0.149492 | + | 0.373413i | −0.984146 | − | 0.177362i | \(-0.943244\pi\) |
0.834654 | + | 0.550775i | \(0.185668\pi\) | |||||||
\(14\) | −1.26454 | − | 2.76895i | −0.0903241 | − | 0.197782i | ||||
\(15\) | 8.55861 | − | 5.50029i | 0.570574 | − | 0.366686i | ||||
\(16\) | 4.14897 | + | 11.9877i | 0.259311 | + | 0.749229i | ||||
\(17\) | 7.95953 | + | 11.1776i | 0.468208 | + | 0.657506i | 0.979393 | − | 0.201965i | \(-0.0647327\pi\) |
−0.511185 | + | 0.859471i | \(0.670793\pi\) | |||||||
\(18\) | −0.841346 | + | 8.81097i | −0.0467414 | + | 0.489498i | ||||
\(19\) | 1.53312 | + | 32.1842i | 0.0806907 | + | 1.69391i | 0.569879 | + | 0.821728i | \(0.306990\pi\) |
−0.489189 | + | 0.872178i | \(0.662707\pi\) | |||||||
\(20\) | 26.8545 | − | 6.51483i | 1.34272 | − | 0.325741i | ||||
\(21\) | −0.584487 | + | 1.68876i | −0.0278327 | + | 0.0804173i | ||||
\(22\) | −0.0397884 | + | 0.0116829i | −0.00180856 | + | 0.000531042i | ||||
\(23\) | −15.1080 | + | 14.4055i | −0.656870 | + | 0.626324i | −0.943365 | − | 0.331758i | \(-0.892358\pi\) |
0.286495 | + | 0.958082i | \(0.407510\pi\) | |||||||
\(24\) | −1.49566 | + | 3.27505i | −0.0623194 | + | 0.136460i | ||||
\(25\) | 1.35213 | + | 9.40430i | 0.0540854 | + | 0.376172i | ||||
\(26\) | 15.3573 | − | 1.46645i | 0.590666 | − | 0.0564017i | ||||
\(27\) | 3.92699 | − | 3.40276i | 0.145444 | − | 0.126028i | ||||
\(28\) | −3.00051 | + | 3.81546i | −0.107161 | + | 0.136266i | ||||
\(29\) | −8.30522 | − | 14.3851i | −0.286387 | − | 0.496037i | 0.686558 | − | 0.727075i | \(-0.259121\pi\) |
−0.972945 | + | 0.231039i | \(0.925788\pi\) | |||||||
\(30\) | −25.9944 | − | 15.0079i | −0.866481 | − | 0.500263i | ||||
\(31\) | 10.0720 | + | 25.1587i | 0.324904 | + | 0.811572i | 0.997440 | + | 0.0715073i | \(0.0227809\pi\) |
−0.672536 | + | 0.740065i | \(0.734795\pi\) | |||||||
\(32\) | 31.5649 | − | 33.1043i | 0.986404 | − | 1.03451i | ||||
\(33\) | 0.0216383 | + | 0.0111553i | 0.000655706 | + | 0.000338040i | ||||
\(34\) | 18.5511 | − | 35.9842i | 0.545622 | − | 1.05836i | ||||
\(35\) | −4.38602 | − | 4.18206i | −0.125315 | − | 0.119488i | ||||
\(36\) | 13.1027 | − | 5.24552i | 0.363964 | − | 0.145709i | ||||
\(37\) | 4.17159 | − | 7.22540i | 0.112746 | − | 0.195281i | −0.804131 | − | 0.594453i | \(-0.797369\pi\) |
0.916876 | + | 0.399171i | \(0.130702\pi\) | |||||||
\(38\) | 82.3264 | − | 47.5312i | 2.16648 | − | 1.25082i | ||||
\(39\) | −7.11910 | − | 5.59852i | −0.182541 | − | 0.143552i | ||||
\(40\) | −7.99570 | − | 9.22752i | −0.199892 | − | 0.230688i | ||||
\(41\) | −0.749701 | − | 7.85122i | −0.0182854 | − | 0.191493i | −0.999999 | − | 0.00113125i | \(-0.999640\pi\) |
0.981714 | − | 0.190362i | \(-0.0609661\pi\) | |||||||
\(42\) | 5.21875 | − | 0.750344i | 0.124256 | − | 0.0178653i | ||||
\(43\) | −36.1893 | − | 16.5271i | −0.841611 | − | 0.384351i | −0.0525146 | − | 0.998620i | \(-0.516724\pi\) |
−0.789097 | + | 0.614269i | \(0.789451\pi\) | |||||||
\(44\) | 0.0456309 | + | 0.0478563i | 0.00103707 | + | 0.00108764i | ||||
\(45\) | 4.96448 | + | 16.9075i | 0.110322 | + | 0.375722i | ||||
\(46\) | 58.2014 | + | 20.1437i | 1.26525 | + | 0.437907i | ||||
\(47\) | 9.92234 | + | 40.9004i | 0.211114 | + | 0.870222i | 0.974519 | + | 0.224303i | \(0.0720105\pi\) |
−0.763406 | + | 0.645919i | \(0.776474\pi\) | |||||||
\(48\) | −21.9468 | + | 1.04545i | −0.457225 | + | 0.0217803i | ||||
\(49\) | −47.7184 | − | 4.55656i | −0.973845 | − | 0.0929910i | ||||
\(50\) | 22.8336 | − | 16.2597i | 0.456672 | − | 0.325195i | ||||
\(51\) | −22.4600 | + | 7.77348i | −0.440392 | + | 0.152421i | ||||
\(52\) | −13.2997 | − | 20.6947i | −0.255763 | − | 0.397975i | ||||
\(53\) | −40.6837 | + | 18.5796i | −0.767618 | + | 0.350559i | −0.760434 | − | 0.649415i | \(-0.775014\pi\) |
−0.00718359 | + | 0.999974i | \(0.502287\pi\) | |||||||
\(54\) | −14.2323 | − | 5.69776i | −0.263561 | − | 0.105514i | ||||
\(55\) | −0.0648947 | + | 0.0510337i | −0.00117990 | + | 0.000927886i | ||||
\(56\) | 2.10595 | + | 0.405888i | 0.0376062 | + | 0.00724800i | ||||
\(57\) | −54.2348 | − | 13.1572i | −0.951487 | − | 0.230828i | ||||
\(58\) | −26.4950 | + | 41.2270i | −0.456810 | + | 0.710810i | ||||
\(59\) | −4.81486 | + | 33.4881i | −0.0816078 | + | 0.567595i | 0.907461 | + | 0.420137i | \(0.138018\pi\) |
−0.989068 | + | 0.147458i | \(0.952891\pi\) | |||||||
\(60\) | −2.27739 | + | 47.8083i | −0.0379565 | + | 0.796805i | ||||
\(61\) | 1.03796 | + | 5.38547i | 0.0170158 | + | 0.0882863i | 0.989444 | − | 0.144917i | \(-0.0462914\pi\) |
−0.972428 | + | 0.233203i | \(0.925079\pi\) | |||||||
\(62\) | 52.3590 | − | 60.4255i | 0.844499 | − | 0.974604i | ||||
\(63\) | −2.52132 | − | 1.79543i | −0.0400210 | − | 0.0284988i | ||||
\(64\) | −80.7994 | − | 23.7249i | −1.26249 | − | 0.370701i | ||||
\(65\) | 27.2992 | − | 14.0737i | 0.419988 | − | 0.216519i | ||||
\(66\) | − | 0.0718250i | − | 0.00108826i | ||||||
\(67\) | −14.0647 | − | 65.5071i | −0.209920 | − | 0.977718i | ||||
\(68\) | −64.5559 | −0.949351 | ||||||||
\(69\) | −16.5680 | − | 32.1374i | −0.240115 | − | 0.465759i | ||||
\(70\) | −5.03735 | + | 17.1556i | −0.0719622 | + | 0.245081i | ||||
\(71\) | −28.7711 | + | 40.4033i | −0.405226 | + | 0.569061i | −0.965880 | − | 0.258990i | \(-0.916610\pi\) |
0.560654 | + | 0.828050i | \(0.310550\pi\) | |||||||
\(72\) | −4.71293 | − | 4.08377i | −0.0654573 | − | 0.0567191i | ||||
\(73\) | −116.473 | + | 22.4482i | −1.59551 | + | 0.307510i | −0.908099 | − | 0.418755i | \(-0.862467\pi\) |
−0.687415 | + | 0.726265i | \(0.741254\pi\) | |||||||
\(74\) | −24.5874 | − | 1.17124i | −0.332262 | − | 0.0158276i | ||||
\(75\) | −16.2887 | − | 2.34196i | −0.217183 | − | 0.0312262i | ||||
\(76\) | −127.521 | − | 81.9527i | −1.67791 | − | 1.07832i | ||||
\(77\) | 0.00341889 | − | 0.0140929i | 4.44012e−5 | − | 0.000183024i | ||||
\(78\) | −5.05691 | + | 26.2378i | −0.0648322 | + | 0.336382i | ||||
\(79\) | 47.3173 | + | 60.1688i | 0.598953 | + | 0.761630i | 0.987124 | − | 0.159957i | \(-0.0511355\pi\) |
−0.388171 | + | 0.921587i | \(0.626893\pi\) | |||||||
\(80\) | 27.6928 | − | 69.1733i | 0.346160 | − | 0.864667i | ||||
\(81\) | 3.73874 | + | 8.18669i | 0.0461572 | + | 0.101070i | ||||
\(82\) | −19.5753 | + | 12.5803i | −0.238723 | + | 0.153418i | ||||
\(83\) | −6.29688 | − | 18.1936i | −0.0758660 | − | 0.219201i | 0.900691 | − | 0.434461i | \(-0.143061\pi\) |
−0.976557 | + | 0.215261i | \(0.930940\pi\) | |||||||
\(84\) | −4.87670 | − | 6.84837i | −0.0580560 | − | 0.0815282i | ||||
\(85\) | 7.66148 | − | 80.2346i | 0.0901350 | − | 0.943937i | ||||
\(86\) | 5.58508 | + | 117.245i | 0.0649428 | + | 1.36332i | ||||
\(87\) | 27.9591 | − | 6.78281i | 0.321369 | − | 0.0779634i | ||||
\(88\) | 0.00955588 | − | 0.0276099i | 0.000108590 | − | 0.000313749i | ||||
\(89\) | −128.050 | + | 37.5988i | −1.43876 | + | 0.422459i | −0.905809 | − | 0.423686i | \(-0.860736\pi\) |
−0.532953 | + | 0.846145i | \(0.678918\pi\) | |||||||
\(90\) | 37.6261 | − | 35.8764i | 0.418068 | − | 0.398627i | ||||
\(91\) | −2.24115 | + | 4.90743i | −0.0246280 | + | 0.0539278i | ||||
\(92\) | −13.9765 | − | 97.2085i | −0.151918 | − | 1.05661i | ||||
\(93\) | −46.7260 | + | 4.46179i | −0.502430 | + | 0.0479762i | ||||
\(94\) | 93.8420 | − | 81.3145i | 0.998319 | − | 0.865048i | ||||
\(95\) | 116.991 | − | 148.766i | 1.23148 | − | 1.56596i | ||||
\(96\) | 39.6129 | + | 68.6115i | 0.412634 | + | 0.714703i | ||||
\(97\) | 27.1272 | + | 15.6619i | 0.279662 | + | 0.161463i | 0.633270 | − | 0.773931i | \(-0.281712\pi\) |
−0.353608 | + | 0.935394i | \(0.615045\pi\) | |||||||
\(98\) | 52.5629 | + | 131.296i | 0.536356 | + | 1.33975i | ||||
\(99\) | −0.0290979 | + | 0.0305170i | −0.000293918 | + | 0.000308252i | ||||
\(100\) | −39.7292 | − | 20.4818i | −0.397292 | − | 0.204818i | ||||
\(101\) | 30.2869 | − | 58.7485i | 0.299871 | − | 0.581668i | −0.689972 | − | 0.723836i | \(-0.742377\pi\) |
0.989843 | + | 0.142168i | \(0.0454074\pi\) | |||||||
\(102\) | 50.7493 | + | 48.3893i | 0.497542 | + | 0.474405i | ||||
\(103\) | 52.4948 | − | 21.0158i | 0.509658 | − | 0.204036i | −0.102558 | − | 0.994727i | \(-0.532703\pi\) |
0.612216 | + | 0.790691i | \(0.290278\pi\) | |||||||
\(104\) | −5.43468 | + | 9.41315i | −0.0522566 | + | 0.0905110i | ||||
\(105\) | 9.09040 | − | 5.24835i | 0.0865753 | − | 0.0499842i | ||||
\(106\) | 103.724 | + | 81.5697i | 0.978531 | + | 0.769525i | ||||
\(107\) | −16.2842 | − | 18.7930i | −0.152189 | − | 0.175635i | 0.674536 | − | 0.738242i | \(-0.264344\pi\) |
−0.826724 | + | 0.562607i | \(0.809798\pi\) | |||||||
\(108\) | 2.32370 | + | 24.3349i | 0.0215158 | + | 0.225323i | ||||
\(109\) | 153.076 | − | 22.0090i | 1.40437 | − | 0.201918i | 0.601881 | − | 0.798586i | \(-0.294418\pi\) |
0.802488 | + | 0.596668i | \(0.203509\pi\) | |||||||
\(110\) | 0.221563 | + | 0.101184i | 0.00201420 | + | 0.000919857i | ||||
\(111\) | 9.97220 | + | 10.4585i | 0.0898396 | + | 0.0942211i | ||||
\(112\) | 3.68736 | + | 12.5580i | 0.0329229 | + | 0.112125i | ||||
\(113\) | −79.7322 | − | 27.5956i | −0.705595 | − | 0.244209i | −0.0493770 | − | 0.998780i | \(-0.515724\pi\) |
−0.656218 | + | 0.754571i | \(0.727845\pi\) | |||||||
\(114\) | 38.8184 | + | 160.012i | 0.340512 | + | 1.40361i | ||||
\(115\) | 122.476 | − | 5.83426i | 1.06501 | − | 0.0507327i | ||||
\(116\) | 77.7909 | + | 7.42813i | 0.670612 | + | 0.0640356i | ||||
\(117\) | 12.7781 | − | 9.09923i | 0.109214 | − | 0.0777712i | ||||
\(118\) | 94.3277 | − | 32.6471i | 0.799387 | − | 0.276671i | ||||
\(119\) | 7.65423 | + | 11.9102i | 0.0643213 | + | 0.100086i | ||||
\(120\) | 19.2368 | − | 8.78517i | 0.160307 | − | 0.0732097i | ||||
\(121\) | 112.332 | + | 44.9711i | 0.928366 | + | 0.371662i | ||||
\(122\) | 12.7195 | − | 10.0027i | 0.104258 | − | 0.0819893i | ||||
\(123\) | 13.4137 | + | 2.58528i | 0.109055 | + | 0.0210185i | ||||
\(124\) | −123.900 | − | 30.0577i | −0.999190 | − | 0.242401i | ||||
\(125\) | −49.2185 | + | 76.5855i | −0.393748 | + | 0.612684i | ||||
\(126\) | −1.29963 | + | 9.03915i | −0.0103145 | + | 0.0717393i | ||||
\(127\) | 4.84835 | − | 101.779i | 0.0381760 | − | 0.801412i | −0.895882 | − | 0.444291i | \(-0.853455\pi\) |
0.934058 | − | 0.357121i | \(-0.116241\pi\) | |||||||
\(128\) | 12.3934 | + | 64.3030i | 0.0968234 | + | 0.502367i | ||||
\(129\) | 45.1257 | − | 52.0778i | 0.349812 | − | 0.403704i | ||||
\(130\) | −73.8131 | − | 52.5621i | −0.567793 | − | 0.404324i | ||||
\(131\) | 112.017 | + | 32.8911i | 0.855090 | + | 0.251077i | 0.679762 | − | 0.733433i | \(-0.262083\pi\) |
0.175328 | + | 0.984510i | \(0.443901\pi\) | |||||||
\(132\) | −0.101799 | + | 0.0524809i | −0.000771202 | + | 0.000397582i | ||||
\(133\) | 33.2438i | 0.249954i | ||||||||
\(134\) | −152.770 | + | 125.444i | −1.14007 | + | 0.936147i | ||||
\(135\) | −30.5209 | −0.226081 | ||||||||
\(136\) | 13.0704 | + | 25.3530i | 0.0961058 | + | 0.186419i | ||||
\(137\) | −20.5369 | + | 69.9423i | −0.149905 | + | 0.510528i | −0.999867 | − | 0.0163154i | \(-0.994806\pi\) |
0.849962 | + | 0.526843i | \(0.176625\pi\) | |||||||
\(138\) | −61.8775 | + | 86.8948i | −0.448388 | + | 0.629672i | ||||
\(139\) | −166.649 | − | 144.402i | −1.19891 | − | 1.03887i | −0.998246 | − | 0.0592061i | \(-0.981143\pi\) |
−0.200669 | − | 0.979659i | \(-0.564311\pi\) | |||||||
\(140\) | 27.9957 | − | 5.39572i | 0.199969 | − | 0.0385409i | ||||
\(141\) | −72.8139 | − | 3.46855i | −0.516411 | − | 0.0245997i | ||||
\(142\) | 144.849 | + | 20.8262i | 1.02006 | + | 0.146663i | ||||
\(143\) | 0.0618274 | + | 0.0397341i | 0.000432359 | + | 0.000277861i | ||||
\(144\) | 8.97206 | − | 36.9833i | 0.0623060 | − | 0.256829i | ||||
\(145\) | −18.4644 | + | 95.8025i | −0.127341 | + | 0.660707i | ||||
\(146\) | 216.330 | + | 275.086i | 1.48171 | + | 1.88415i | ||||
\(147\) | 30.8579 | − | 77.0793i | 0.209918 | − | 0.524349i | ||||
\(148\) | 16.3054 | + | 35.7039i | 0.110172 | + | 0.241243i | ||||
\(149\) | −174.269 | + | 111.996i | −1.16959 | + | 0.751649i | −0.973444 | − | 0.228926i | \(-0.926479\pi\) |
−0.196145 | + | 0.980575i | \(0.562842\pi\) | |||||||
\(150\) | 15.8797 | + | 45.8813i | 0.105865 | + | 0.305875i | ||||
\(151\) | 92.8761 | + | 130.426i | 0.615074 | + | 0.863750i | 0.998202 | − | 0.0599451i | \(-0.0190926\pi\) |
−0.383128 | + | 0.923695i | \(0.625153\pi\) | |||||||
\(152\) | −6.36658 | + | 66.6739i | −0.0418854 | + | 0.438644i | ||||
\(153\) | −1.95875 | − | 41.1193i | −0.0128023 | − | 0.268754i | ||||
\(154\) | −0.0415789 | + | 0.0100869i | −0.000269993 | + | 6.54995e-5i | ||||
\(155\) | 52.0622 | − | 150.424i | 0.335885 | − | 0.970476i | ||||
\(156\) | 40.8822 | − | 12.0041i | 0.262065 | − | 0.0769493i | ||||
\(157\) | 135.801 | − | 129.486i | 0.864975 | − | 0.824752i | −0.120825 | − | 0.992674i | \(-0.538554\pi\) |
0.985800 | + | 0.167921i | \(0.0537055\pi\) | |||||||
\(158\) | 93.8156 | − | 205.427i | 0.593770 | − | 1.30017i | ||||
\(159\) | −11.0247 | − | 76.6783i | −0.0693376 | − | 0.482254i | ||||
\(160\) | −267.455 | + | 25.5389i | −1.67159 | + | 0.159618i | ||||
\(161\) | −16.2773 | + | 14.1043i | −0.101101 | + | 0.0876046i | ||||
\(162\) | 16.4141 | − | 20.8722i | 0.101321 | − | 0.128841i | ||||
\(163\) | −125.133 | − | 216.737i | −0.767688 | − | 1.32967i | −0.938814 | − | 0.344425i | \(-0.888074\pi\) |
0.171126 | − | 0.985249i | \(-0.445260\pi\) | |||||||
\(164\) | 32.1335 | + | 18.5523i | 0.195936 | + | 0.113124i | ||||
\(165\) | −0.0531455 | − | 0.132751i | −0.000322094 | − | 0.000804552i | ||||
\(166\) | −39.1976 | + | 41.1093i | −0.236130 | + | 0.247646i | ||||
\(167\) | −67.1958 | − | 34.6419i | −0.402370 | − | 0.207436i | 0.245149 | − | 0.969485i | \(-0.421163\pi\) |
−0.647519 | + | 0.762049i | \(0.724193\pi\) | |||||||
\(168\) | −1.70219 | + | 3.30179i | −0.0101321 | + | 0.0196535i | ||||
\(169\) | 102.523 | + | 97.7554i | 0.606645 | + | 0.578434i | ||||
\(170\) | −220.763 | + | 88.3802i | −1.29861 | + | 0.519883i | ||||
\(171\) | 48.3311 | − | 83.7119i | 0.282638 | − | 0.489543i | ||||
\(172\) | 162.093 | − | 93.5844i | 0.942400 | − | 0.544095i | ||||
\(173\) | −95.9328 | − | 75.4424i | −0.554525 | − | 0.436083i | 0.301165 | − | 0.953572i | \(-0.402624\pi\) |
−0.855690 | + | 0.517489i | \(0.826867\pi\) | |||||||
\(174\) | −55.5858 | − | 64.1495i | −0.319459 | − | 0.368675i | ||||
\(175\) | 0.931805 | + | 9.75831i | 0.00532460 | + | 0.0557618i | ||||
\(176\) | 0.176482 | − | 0.0253743i | 0.00100274 | − | 0.000144172i | ||||
\(177\) | −53.3040 | − | 24.3431i | −0.301153 | − | 0.137532i | ||||
\(178\) | 271.712 | + | 284.964i | 1.52647 | + | 1.60092i | ||||
\(179\) | 59.1912 | + | 201.587i | 0.330677 | + | 1.12618i | 0.942226 | + | 0.334977i | \(0.108729\pi\) |
−0.611549 | + | 0.791207i | \(0.709453\pi\) | |||||||
\(180\) | −78.3409 | − | 27.1140i | −0.435227 | − | 0.150634i | ||||
\(181\) | 55.0468 | + | 226.906i | 0.304126 | + | 1.25362i | 0.894710 | + | 0.446648i | \(0.147382\pi\) |
−0.590583 | + | 0.806977i | \(0.701102\pi\) | |||||||
\(182\) | 15.8990 | − | 0.757363i | 0.0873572 | − | 0.00416133i | ||||
\(183\) | −9.45656 | − | 0.902992i | −0.0516752 | − | 0.00493438i | ||||
\(184\) | −35.3469 | + | 25.1704i | −0.192103 | + | 0.136796i | ||||
\(185\) | −46.3105 | + | 16.0282i | −0.250327 | + | 0.0866390i | ||||
\(186\) | 74.8706 | + | 116.501i | 0.402530 | + | 0.626349i | ||||
\(187\) | 0.175438 | − | 0.0801199i | 0.000938172 | − | 0.000428449i | ||||
\(188\) | −183.817 | − | 73.5891i | −0.977748 | − | 0.391431i | ||||
\(189\) | 4.21415 | − | 3.31404i | 0.0222971 | − | 0.0175346i | ||||
\(190\) | −548.283 | − | 105.673i | −2.88570 | − | 0.556173i | ||||
\(191\) | −156.369 | − | 37.9347i | −0.818686 | − | 0.198611i | −0.195519 | − | 0.980700i | \(-0.562639\pi\) |
−0.623167 | + | 0.782089i | \(0.714154\pi\) | |||||||
\(192\) | 78.8562 | − | 122.703i | 0.410710 | − | 0.639076i | ||||
\(193\) | −34.4431 | + | 239.557i | −0.178462 | + | 1.24123i | 0.681863 | + | 0.731480i | \(0.261170\pi\) |
−0.860324 | + | 0.509747i | \(0.829739\pi\) | |||||||
\(194\) | 4.39734 | − | 92.3115i | 0.0226667 | − | 0.475833i | ||||
\(195\) | 10.0676 | + | 52.2359i | 0.0516290 | + | 0.267876i | ||||
\(196\) | 147.681 | − | 170.433i | 0.753475 | − | 0.869557i | ||||
\(197\) | 131.941 | + | 93.9549i | 0.669752 | + | 0.476928i | 0.863649 | − | 0.504093i | \(-0.168173\pi\) |
−0.193897 | + | 0.981022i | \(0.562113\pi\) | |||||||
\(198\) | 0.119365 | + | 0.0350488i | 0.000602855 | + | 0.000177014i | ||||
\(199\) | −168.869 | + | 87.0580i | −0.848588 | + | 0.437478i | −0.826941 | − | 0.562288i | \(-0.809921\pi\) |
−0.0216466 | + | 0.999766i | \(0.506891\pi\) | |||||||
\(200\) | 19.7497i | 0.0987486i | ||||||||
\(201\) | 115.729 | + | 8.59193i | 0.575766 | + | 0.0427459i | ||||
\(202\) | −195.006 | −0.965378 | ||||||||
\(203\) | −7.85303 | − | 15.2327i | −0.0386849 | − | 0.0750382i | ||||
\(204\) | 31.5017 | − | 107.285i | 0.154420 | − | 0.525906i | ||||
\(205\) | −26.8717 | + | 37.7360i | −0.131081 | + | 0.184078i | ||||
\(206\) | −126.080 | − | 109.249i | −0.612041 | − | 0.530336i | ||||
\(207\) | 61.4935 | − | 11.8519i | 0.297070 | − | 0.0572556i | ||||
\(208\) | −66.2557 | − | 3.15615i | −0.318537 | − | 0.0151738i | ||||
\(209\) | 0.448264 | + | 0.0644506i | 0.00214480 | + | 0.000308376i | ||||
\(210\) | −26.0527 | − | 16.7431i | −0.124060 | − | 0.0797288i | ||||
\(211\) | −40.1900 | + | 165.666i | −0.190474 | + | 0.785145i | 0.793754 | + | 0.608239i | \(0.208124\pi\) |
−0.984228 | + | 0.176905i | \(0.943391\pi\) | |||||||
\(212\) | 39.8211 | − | 206.611i | 0.187835 | − | 0.974582i | ||||
\(213\) | −53.1063 | − | 67.5302i | −0.249325 | − | 0.317043i | ||||
\(214\) | −27.2671 | + | 68.1100i | −0.127417 | + | 0.318271i | ||||
\(215\) | 97.0761 | + | 212.567i | 0.451517 | + | 0.988684i | ||||
\(216\) | 9.08657 | − | 5.83959i | 0.0420675 | − | 0.0270351i | ||||
\(217\) | 9.14497 | + | 26.4227i | 0.0421427 | + | 0.121763i | ||||
\(218\) | −264.664 | − | 371.669i | −1.21405 | − | 1.70490i | ||||
\(219\) | 19.5292 | − | 204.519i | 0.0891743 | − | 0.933876i | ||||
\(220\) | −0.0184807 | − | 0.387957i | −8.40031e−5 | − | 0.00176344i | ||||
\(221\) | −69.7287 | + | 16.9160i | −0.315515 | + | 0.0765430i | ||||
\(222\) | 13.9445 | − | 40.2900i | 0.0628131 | − | 0.181487i | ||||
\(223\) | 292.906 | − | 86.0049i | 1.31348 | − | 0.385672i | 0.451343 | − | 0.892350i | \(-0.350945\pi\) |
0.862135 | + | 0.506678i | \(0.169127\pi\) | |||||||
\(224\) | 34.1555 | − | 32.5672i | 0.152480 | − | 0.145389i | ||||
\(225\) | 11.8406 | − | 25.9273i | 0.0526248 | − | 0.115232i | ||||
\(226\) | 35.4263 | + | 246.395i | 0.156753 | + | 1.09024i | ||||
\(227\) | −61.7476 | + | 5.89618i | −0.272016 | + | 0.0259744i | −0.230173 | − | 0.973150i | \(-0.573929\pi\) |
−0.0418434 | + | 0.999124i | \(0.513323\pi\) | |||||||
\(228\) | 198.423 | − | 171.935i | 0.870278 | − | 0.754100i | ||||
\(229\) | 58.3508 | − | 74.1991i | 0.254807 | − | 0.324014i | −0.641773 | − | 0.766894i | \(-0.721801\pi\) |
0.896581 | + | 0.442881i | \(0.146043\pi\) | |||||||
\(230\) | −180.879 | − | 313.291i | −0.786429 | − | 1.36214i | ||||
\(231\) | 0.0217525 | + | 0.0125588i | 9.41665e−5 | + | 5.43671e-5i | ||||
\(232\) | −12.8328 | − | 32.0548i | −0.0553138 | − | 0.138167i | ||||
\(233\) | −212.811 | + | 223.190i | −0.913353 | + | 0.957897i | −0.999262 | − | 0.0384060i | \(-0.987772\pi\) |
0.0859093 | + | 0.996303i | \(0.472620\pi\) | |||||||
\(234\) | −41.1366 | − | 21.2074i | −0.175798 | − | 0.0906300i | ||||
\(235\) | 113.277 | − | 219.727i | 0.482030 | − | 0.935008i | ||||
\(236\) | −115.194 | − | 109.838i | −0.488112 | − | 0.465414i | ||||
\(237\) | −123.084 | + | 49.2752i | −0.519340 | + | 0.207912i | ||||
\(238\) | 20.8851 | − | 36.1740i | 0.0877524 | − | 0.151992i | ||||
\(239\) | 268.652 | − | 155.106i | 1.12407 | − | 0.648979i | 0.181630 | − | 0.983367i | \(-0.441863\pi\) |
0.942436 | + | 0.334388i | \(0.108529\pi\) | |||||||
\(240\) | 101.445 | + | 79.7773i | 0.422688 | + | 0.332405i | ||||
\(241\) | 108.049 | + | 124.695i | 0.448336 | + | 0.517407i | 0.934259 | − | 0.356594i | \(-0.116062\pi\) |
−0.485924 | + | 0.874001i | \(0.661517\pi\) | |||||||
\(242\) | −33.9342 | − | 355.375i | −0.140224 | − | 1.46849i | ||||
\(243\) | −15.4298 | + | 2.21847i | −0.0634971 | + | 0.00912950i | ||||
\(244\) | −23.4708 | − | 10.7188i | −0.0961919 | − | 0.0439293i | ||||
\(245\) | 194.300 | + | 203.776i | 0.793059 | + | 0.831737i | ||||
\(246\) | −11.3548 | − | 38.6709i | −0.0461577 | − | 0.157199i | ||||
\(247\) | −159.214 | − | 55.1044i | −0.644589 | − | 0.223095i | ||||
\(248\) | 13.2809 | + | 54.7447i | 0.0535521 | + | 0.220745i | ||||
\(249\) | 33.3086 | − | 1.58668i | 0.133769 | − | 0.00637222i | ||||
\(250\) | 267.376 | + | 25.5313i | 1.06950 | + | 0.102125i | ||||
\(251\) | −27.8822 | + | 19.8548i | −0.111085 | + | 0.0791030i | −0.634249 | − | 0.773129i | \(-0.718691\pi\) |
0.523165 | + | 0.852232i | \(0.324751\pi\) | |||||||
\(252\) | 13.7609 | − | 4.76271i | 0.0546069 | − | 0.0188996i | ||||
\(253\) | 0.158627 | + | 0.246829i | 0.000626986 | + | 0.000975609i | ||||
\(254\) | −273.458 | + | 124.884i | −1.07661 | + | 0.491670i | ||||
\(255\) | 129.603 | + | 51.8850i | 0.508245 | + | 0.203471i | ||||
\(256\) | −112.904 | + | 88.7888i | −0.441032 | + | 0.346831i | ||||
\(257\) | 39.8166 | + | 7.67402i | 0.154928 | + | 0.0298600i | 0.266126 | − | 0.963938i | \(-0.414256\pi\) |
−0.111197 | + | 0.993798i | \(0.535469\pi\) | |||||||
\(258\) | −197.574 | − | 47.9310i | −0.765792 | − | 0.185779i | ||||
\(259\) | 4.65389 | − | 7.24160i | 0.0179687 | − | 0.0279598i | ||||
\(260\) | −20.5635 | + | 143.023i | −0.0790905 | + | 0.550087i | ||||
\(261\) | −2.37107 | + | 49.7749i | −0.00908456 | + | 0.190708i | ||||
\(262\) | −65.1859 | − | 338.216i | −0.248801 | − | 1.29090i | ||||
\(263\) | 328.262 | − | 378.835i | 1.24815 | − | 1.44044i | 0.395069 | − | 0.918651i | \(-0.370721\pi\) |
0.853077 | − | 0.521786i | \(-0.174734\pi\) | |||||||
\(264\) | 0.0412216 | + | 0.0293538i | 0.000156142 | + | 0.000111189i | ||||
\(265\) | 252.065 | + | 74.0130i | 0.951189 | + | 0.279294i | ||||
\(266\) | 87.1778 | − | 44.9433i | 0.327736 | − | 0.168960i | ||||
\(267\) | − | 231.152i | − | 0.865738i | ||||||
\(268\) | 289.419 | + | 124.864i | 1.07992 | + | 0.465912i | ||||
\(269\) | 7.29187 | 0.0271073 | 0.0135537 | − | 0.999908i | \(-0.495686\pi\) | ||||
0.0135537 | + | 0.999908i | \(0.495686\pi\) | |||||||
\(270\) | 41.2621 | + | 80.0373i | 0.152823 | + | 0.296435i | ||||
\(271\) | −10.2941 | + | 35.0584i | −0.0379855 | + | 0.129367i | −0.976303 | − | 0.216408i | \(-0.930566\pi\) |
0.938317 | + | 0.345775i | \(0.112384\pi\) | |||||||
\(272\) | −100.969 | + | 141.792i | −0.371211 | + | 0.521293i | ||||
\(273\) | −7.06199 | − | 6.11925i | −0.0258681 | − | 0.0224148i | ||||
\(274\) | 211.179 | − | 40.7015i | 0.770728 | − | 0.148546i | ||||
\(275\) | 0.133389 | + | 0.00635408i | 0.000485049 | + | 2.31058e-5i | ||||
\(276\) | 168.370 | + | 24.2079i | 0.610036 | + | 0.0877100i | ||||
\(277\) | −400.582 | − | 257.439i | −1.44615 | − | 0.929381i | −0.999397 | − | 0.0347220i | \(-0.988945\pi\) |
−0.446749 | − | 0.894659i | \(-0.647418\pi\) | |||||||
\(278\) | −153.379 | + | 632.238i | −0.551724 | + | 2.27424i | ||||
\(279\) | 15.3861 | − | 79.8307i | 0.0551473 | − | 0.286131i | ||||
\(280\) | −7.78724 | − | 9.90228i | −0.0278116 | − | 0.0353653i | ||||
\(281\) | 18.8489 | − | 47.0824i | 0.0670781 | − | 0.167553i | −0.891041 | − | 0.453923i | \(-0.850024\pi\) |
0.958119 | + | 0.286370i | \(0.0924485\pi\) | |||||||
\(282\) | 89.3433 | + | 195.635i | 0.316820 | + | 0.693739i | ||||
\(283\) | 111.297 | − | 71.5264i | 0.393276 | − | 0.252743i | −0.329026 | − | 0.944321i | \(-0.606720\pi\) |
0.722302 | + | 0.691578i | \(0.243084\pi\) | |||||||
\(284\) | −76.3207 | − | 220.514i | −0.268735 | − | 0.776459i | ||||
\(285\) | 190.144 | + | 267.020i | 0.667171 | + | 0.936911i | ||||
\(286\) | 0.0206114 | − | 0.215852i | 7.20678e−5 | − | 0.000754728i | ||||
\(287\) | −0.387192 | − | 8.12815i | −0.00134910 | − | 0.0283211i | ||||
\(288\) | −133.355 | + | 32.3516i | −0.463038 | + | 0.112332i | ||||
\(289\) | 32.9381 | − | 95.1684i | 0.113973 | − | 0.329302i | ||||
\(290\) | 276.193 | − | 81.0975i | 0.952388 | − | 0.279646i | ||||
\(291\) | −39.2658 | + | 37.4399i | −0.134934 | + | 0.128659i | ||||
\(292\) | 231.817 | − | 507.608i | 0.793893 | − | 1.73838i | ||||
\(293\) | 24.4127 | + | 169.794i | 0.0833196 | + | 0.579501i | 0.988122 | + | 0.153670i | \(0.0491092\pi\) |
−0.904803 | + | 0.425831i | \(0.859982\pi\) | |||||||
\(294\) | −243.849 | + | 23.2847i | −0.829417 | + | 0.0791997i | ||||
\(295\) | 150.185 | − | 130.136i | 0.509103 | − | 0.441140i | ||||
\(296\) | 10.7207 | − | 13.6325i | 0.0362186 | − | 0.0460557i | ||||
\(297\) | −0.0365168 | − | 0.0632490i | −0.000122952 | − | 0.000212960i | ||||
\(298\) | 529.294 | + | 305.588i | 1.77615 | + | 1.02546i | ||||
\(299\) | −40.5686 | − | 101.335i | −0.135681 | − | 0.338914i | ||||
\(300\) | 53.4254 | − | 56.0310i | 0.178085 | − | 0.186770i | ||||
\(301\) | −36.4848 | − | 18.8092i | −0.121212 | − | 0.0624890i | ||||
\(302\) | 216.465 | − | 419.883i | 0.716771 | − | 1.39034i | ||||
\(303\) | 82.8543 | + | 79.0014i | 0.273446 | + | 0.260731i | ||||
\(304\) | −379.453 | + | 151.910i | −1.24820 | + | 0.499704i | ||||
\(305\) | 16.1075 | − | 27.8991i | 0.0528116 | − | 0.0914724i | ||||
\(306\) | −105.182 | + | 60.7270i | −0.343733 | + | 0.198454i | ||||
\(307\) | −302.903 | − | 238.206i | −0.986656 | − | 0.775915i | −0.0120700 | − | 0.999927i | \(-0.503842\pi\) |
−0.974586 | + | 0.224012i | \(0.928085\pi\) | |||||||
\(308\) | 0.0446771 | + | 0.0515601i | 0.000145056 | + | 0.000167403i | ||||
\(309\) | 9.30972 | + | 97.4958i | 0.0301285 | + | 0.315520i | ||||
\(310\) | −464.852 | + | 66.8356i | −1.49952 | + | 0.215599i | ||||
\(311\) | 515.037 | + | 235.210i | 1.65607 | + | 0.756301i | 0.999999 | + | 0.00160068i | \(0.000509512\pi\) |
0.656070 | + | 0.754700i | \(0.272218\pi\) | |||||||
\(312\) | −12.9916 | − | 13.6252i | −0.0416398 | − | 0.0436706i | ||||
\(313\) | −34.6532 | − | 118.018i | −0.110713 | − | 0.377054i | 0.885433 | − | 0.464768i | \(-0.153862\pi\) |
−0.996146 | + | 0.0877135i | \(0.972044\pi\) | |||||||
\(314\) | −523.155 | − | 181.066i | −1.66610 | − | 0.576642i | ||||
\(315\) | 4.28629 | + | 17.6683i | 0.0136073 | + | 0.0560899i | ||||
\(316\) | −359.705 | + | 17.1349i | −1.13831 | + | 0.0542242i | ||||
\(317\) | −561.748 | − | 53.6404i | −1.77208 | − | 0.169213i | −0.842709 | − | 0.538370i | \(-0.819040\pi\) |
−0.929367 | + | 0.369157i | \(0.879647\pi\) | |||||||
\(318\) | −186.175 | + | 132.574i | −0.585455 | + | 0.416901i | ||||
\(319\) | −0.220625 | + | 0.0763590i | −0.000691614 | + | 0.000239370i | ||||
\(320\) | 267.418 | + | 416.111i | 0.835682 | + | 1.30035i | ||||
\(321\) | 39.1781 | − | 17.8921i | 0.122050 | − | 0.0557385i | ||||
\(322\) | 58.9926 | + | 23.6171i | 0.183207 | + | 0.0733450i | ||||
\(323\) | −347.539 | + | 273.308i | −1.07597 | + | 0.846155i | ||||
\(324\) | −41.5759 | − | 8.01309i | −0.128321 | − | 0.0247318i | ||||
\(325\) | −48.2797 | − | 11.7125i | −0.148553 | − | 0.0360385i | ||||
\(326\) | −399.195 | + | 621.159i | −1.22452 | + | 1.90539i | ||||
\(327\) | −38.1208 | + | 265.136i | −0.116577 | + | 0.810813i | ||||
\(328\) | 0.780084 | − | 16.3760i | 0.00237831 | − | 0.0499268i | ||||
\(329\) | 8.21789 | + | 42.6385i | 0.0249784 | + | 0.129600i | ||||
\(330\) | −0.276274 | + | 0.318837i | −0.000837194 | + | 0.000966174i | ||||
\(331\) | −312.732 | − | 222.695i | −0.944809 | − | 0.672795i | 0.000144517 | − | 1.00000i | \(-0.499954\pi\) |
−0.944954 | + | 0.327205i | \(0.893893\pi\) | |||||||
\(332\) | 86.9057 | + | 25.5178i | 0.261764 | + | 0.0768609i | ||||
\(333\) | −22.2471 | + | 11.4692i | −0.0668082 | + | 0.0344420i | ||||
\(334\) | 223.046i | 0.667802i | ||||||||
\(335\) | −189.538 | + | 344.892i | −0.565786 | + | 1.02953i | ||||
\(336\) | −22.6694 | −0.0674683 | ||||||||
\(337\) | −4.43777 | − | 8.60807i | −0.0131685 | − | 0.0255432i | 0.882159 | − | 0.470951i | \(-0.156089\pi\) |
−0.895328 | + | 0.445408i | \(0.853059\pi\) | |||||||
\(338\) | 117.748 | − | 401.012i | 0.348366 | − | 1.18643i | ||||
\(339\) | 84.7682 | − | 119.040i | 0.250054 | − | 0.351151i | ||||
\(340\) | 286.569 | + | 248.314i | 0.842851 | + | 0.730334i | ||||
\(341\) | 0.374016 | − | 0.0720856i | 0.00109682 | − | 0.000211395i | ||||
\(342\) | −284.864 | − | 13.5697i | −0.832936 | − | 0.0396776i | ||||
\(343\) | −98.9955 | − | 14.2334i | −0.288617 | − | 0.0414968i | ||||
\(344\) | −69.5717 | − | 44.7110i | −0.202243 | − | 0.129974i | ||||
\(345\) | −50.0694 | + | 206.389i | −0.145129 | + | 0.598229i | ||||
\(346\) | −68.1440 | + | 353.564i | −0.196948 | + | 1.02186i | ||||
\(347\) | 243.627 | + | 309.797i | 0.702096 | + | 0.892788i | 0.998050 | − | 0.0624143i | \(-0.0198800\pi\) |
−0.295954 | + | 0.955202i | \(0.595638\pi\) | |||||||
\(348\) | −50.3048 | + | 125.655i | −0.144554 | + | 0.361078i | ||||
\(349\) | 152.179 | + | 333.226i | 0.436044 | + | 0.954802i | 0.992308 | + | 0.123797i | \(0.0395070\pi\) |
−0.556264 | + | 0.831006i | \(0.687766\pi\) | |||||||
\(350\) | 24.3302 | − | 15.6361i | 0.0695149 | − | 0.0446745i | ||||
\(351\) | 8.88654 | + | 25.6760i | 0.0253178 | + | 0.0731509i | ||||
\(352\) | −0.372922 | − | 0.523695i | −0.00105944 | − | 0.00148777i | ||||
\(353\) | 25.6647 | − | 268.773i | 0.0727046 | − | 0.761397i | −0.883448 | − | 0.468529i | \(-0.844784\pi\) |
0.956153 | − | 0.292868i | \(-0.0946098\pi\) | |||||||
\(354\) | 8.22640 | + | 172.693i | 0.0232384 | + | 0.487834i | ||||
\(355\) | 283.128 | − | 68.6862i | 0.797545 | − | 0.193482i | ||||
\(356\) | 205.350 | − | 593.319i | 0.576825 | − | 1.66663i | ||||
\(357\) | −23.5286 | + | 6.90861i | −0.0659063 | + | 0.0193518i | ||||
\(358\) | 448.614 | − | 427.753i | 1.25311 | − | 1.19484i | ||||
\(359\) | −254.737 | + | 557.797i | −0.709574 | + | 1.55375i | 0.118388 | + | 0.992967i | \(0.462227\pi\) |
−0.827962 | + | 0.560784i | \(0.810500\pi\) | |||||||
\(360\) | 5.21289 | + | 36.2565i | 0.0144803 | + | 0.100712i | ||||
\(361\) | −674.108 | + | 64.3696i | −1.86734 | + | 0.178309i | ||||
\(362\) | 520.614 | − | 451.114i | 1.43816 | − | 1.24617i | ||||
\(363\) | −129.552 | + | 164.739i | −0.356894 | + | 0.453827i | ||||
\(364\) | −12.6905 | − | 21.9805i | −0.0348639 | − | 0.0603861i | ||||
\(365\) | 603.379 | + | 348.361i | 1.65309 | + | 0.954413i | ||||
\(366\) | 10.4166 | + | 26.0194i | 0.0284607 | + | 0.0710913i | ||||
\(367\) | 290.491 | − | 304.658i | 0.791529 | − | 0.830132i | −0.197120 | − | 0.980379i | \(-0.563159\pi\) |
0.988648 | + | 0.150248i | \(0.0480072\pi\) | |||||||
\(368\) | −235.371 | − | 121.342i | −0.639594 | − | 0.329734i | ||||
\(369\) | −10.8420 | + | 21.0306i | −0.0293821 | + | 0.0569934i | ||||
\(370\) | 104.640 | + | 99.7745i | 0.282812 | + | 0.269661i | ||||
\(371\) | −42.8402 | + | 17.1506i | −0.115472 | + | 0.0462281i | ||||
\(372\) | 110.412 | − | 191.240i | 0.296808 | − | 0.514086i | ||||
\(373\) | 184.778 | − | 106.682i | 0.495384 | − | 0.286010i | −0.231421 | − | 0.972854i | \(-0.574338\pi\) |
0.726805 | + | 0.686843i | \(0.241004\pi\) | |||||||
\(374\) | −0.447284 | − | 0.351748i | −0.00119595 | − | 0.000940503i | ||||
\(375\) | −103.259 | − | 119.168i | −0.275358 | − | 0.317780i | ||||
\(376\) | 8.31605 | + | 87.0896i | 0.0221171 | + | 0.231621i | ||||
\(377\) | 85.9707 | − | 12.3607i | 0.228039 | − | 0.0327871i | ||||
\(378\) | −14.3879 | − | 6.57073i | −0.0380632 | − | 0.0173829i | ||||
\(379\) | −378.656 | − | 397.123i | −0.999093 | − | 1.04782i | −0.998856 | − | 0.0478183i | \(-0.984773\pi\) |
−0.000236692 | − | 1.00000i | \(-0.500075\pi\) | |||||||
\(380\) | 250.846 | + | 854.303i | 0.660121 | + | 2.24817i | ||||
\(381\) | 166.780 | + | 57.7232i | 0.437743 | + | 0.151504i | ||||
\(382\) | 111.921 | + | 461.343i | 0.292986 | + | 1.20770i | ||||
\(383\) | 266.392 | − | 12.6898i | 0.695541 | − | 0.0331327i | 0.303166 | − | 0.952938i | \(-0.401956\pi\) |
0.392375 | + | 0.919805i | \(0.371653\pi\) | |||||||
\(384\) | −112.912 | − | 10.7818i | −0.294042 | − | 0.0280776i | ||||
\(385\) | −0.0693849 | + | 0.0494087i | −0.000180220 | + | 0.000128334i | ||||
\(386\) | 674.773 | − | 233.541i | 1.74812 | − | 0.605029i | ||||
\(387\) | 64.5274 | + | 100.407i | 0.166738 | + | 0.259449i | ||||
\(388\) | −134.048 | + | 61.2175i | −0.345484 | + | 0.157777i | ||||
\(389\) | 499.786 | + | 200.084i | 1.28480 | + | 0.514355i | 0.910713 | − | 0.413040i | \(-0.135533\pi\) |
0.374084 | + | 0.927395i | \(0.377957\pi\) | |||||||
\(390\) | 123.371 | − | 97.0204i | 0.316337 | − | 0.248770i | ||||
\(391\) | −281.271 | − | 54.2105i | −0.719363 | − | 0.138646i | ||||
\(392\) | −96.8346 | − | 23.4918i | −0.247027 | − | 0.0599281i | ||||
\(393\) | −109.323 | + | 170.110i | −0.278175 | + | 0.432849i | ||||
\(394\) | 68.0099 | − | 473.020i | 0.172614 | − | 1.20056i | ||||
\(395\) | 21.3933 | − | 449.100i | 0.0541602 | − | 1.13696i | ||||
\(396\) | −0.0375423 | − | 0.194788i | −9.48037e−5 | − | 0.000491888i | ||||
\(397\) | 103.662 | − | 119.632i | 0.261114 | − | 0.301341i | −0.610021 | − | 0.792385i | \(-0.708839\pi\) |
0.871135 | + | 0.491044i | \(0.163385\pi\) | |||||||
\(398\) | 456.598 | + | 325.142i | 1.14723 | + | 0.816939i | ||||
\(399\) | −55.2476 | − | 16.2222i | −0.138465 | − | 0.0406571i | ||||
\(400\) | −107.126 | + | 55.2271i | −0.267814 | + | 0.138068i | ||||
\(401\) | − | 290.194i | − | 0.723677i | −0.932241 | − | 0.361838i | \(-0.882149\pi\) | ||
0.932241 | − | 0.361838i | \(-0.117851\pi\) | |||||||
\(402\) | −133.926 | − | 315.100i | −0.333149 | − | 0.783831i | ||||
\(403\) | −141.704 | −0.351622 | ||||||||
\(404\) | 142.487 | + | 276.386i | 0.352690 | + | 0.684123i | ||||
\(405\) | 14.8935 | − | 50.7224i | 0.0367740 | − | 0.125241i | ||||
\(406\) | −29.3292 | + | 41.1872i | −0.0722395 | + | 0.101446i | ||||
\(407\) | −0.0886239 | − | 0.0767930i | −0.000217749 | − | 0.000188681i | ||||
\(408\) | −48.5120 | + | 9.34991i | −0.118902 | + | 0.0229165i | ||||
\(409\) | −430.513 | − | 20.5079i | −1.05260 | − | 0.0501415i | −0.485859 | − | 0.874037i | \(-0.661493\pi\) |
−0.566741 | + | 0.823896i | \(0.691796\pi\) | |||||||
\(410\) | 135.286 | + | 19.4513i | 0.329967 | + | 0.0474421i | ||||
\(411\) | −106.215 | − | 68.2602i | −0.258431 | − | 0.166083i | ||||
\(412\) | −62.7167 | + | 258.522i | −0.152225 | + | 0.627480i | ||||
\(413\) | −6.60615 | + | 34.2760i | −0.0159955 | + | 0.0829926i | ||||
\(414\) | −114.215 | − | 145.236i | −0.275882 | − | 0.350812i | ||||
\(415\) | −42.0293 | + | 104.984i | −0.101275 | + | 0.252974i | ||||
\(416\) | 99.3575 | + | 217.563i | 0.238840 | + | 0.522987i | ||||
\(417\) | 321.301 | − | 206.488i | 0.770507 | − | 0.495175i | ||||
\(418\) | −0.437007 | − | 1.26265i | −0.00104547 | − | 0.00302069i | ||||
\(419\) | 180.383 | + | 253.313i | 0.430509 | + | 0.604565i | 0.971666 | − | 0.236356i | \(-0.0759532\pi\) |
−0.541158 | + | 0.840921i | \(0.682014\pi\) | |||||||
\(420\) | −4.69409 | + | 49.1587i | −0.0111764 | + | 0.117045i | ||||
\(421\) | −28.9559 | − | 607.858i | −0.0687788 | − | 1.44384i | −0.724726 | − | 0.689037i | \(-0.758034\pi\) |
0.655947 | − | 0.754807i | \(-0.272269\pi\) | |||||||
\(422\) | 488.771 | − | 118.575i | 1.15823 | − | 0.280982i | ||||
\(423\) | 41.2957 | − | 119.316i | 0.0976258 | − | 0.282071i | ||||
\(424\) | −89.2048 | + | 26.1929i | −0.210389 | + | 0.0617757i | ||||
\(425\) | −94.3551 | + | 89.9674i | −0.222012 | + | 0.211688i | ||||
\(426\) | −105.294 | + | 230.561i | −0.247168 | + | 0.541222i | ||||
\(427\) | 0.805322 | + | 5.60114i | 0.00188600 | + | 0.0131174i | ||||
\(428\) | 116.457 | − | 11.1203i | 0.272096 | − | 0.0259820i | ||||
\(429\) | −0.0962039 | + | 0.0833611i | −0.000224251 | + | 0.000194315i | ||||
\(430\) | 426.190 | − | 541.945i | 0.991141 | − | 1.26034i | ||||
\(431\) | 68.6286 | + | 118.868i | 0.159231 | + | 0.275796i | 0.934592 | − | 0.355723i | \(-0.115765\pi\) |
−0.775361 | + | 0.631519i | \(0.782432\pi\) | |||||||
\(432\) | 57.0841 | + | 32.9575i | 0.132139 | + | 0.0762906i | ||||
\(433\) | 4.59669 | + | 11.4820i | 0.0106159 | + | 0.0265173i | 0.933581 | − | 0.358366i | \(-0.116666\pi\) |
−0.922965 | + | 0.384883i | \(0.874242\pi\) | |||||||
\(434\) | 56.9268 | − | 59.7031i | 0.131168 | − | 0.137565i | ||||
\(435\) | −150.203 | − | 77.4351i | −0.345294 | − | 0.178012i | ||||
\(436\) | −333.388 | + | 646.683i | −0.764652 | + | 1.48322i | ||||
\(437\) | −486.791 | − | 464.154i | −1.11394 | − | 1.06214i | ||||
\(438\) | −562.727 | + | 225.282i | −1.28476 | + | 0.514342i | ||||
\(439\) | 420.774 | − | 728.803i | 0.958484 | − | 1.66014i | 0.232297 | − | 0.972645i | \(-0.425376\pi\) |
0.726187 | − | 0.687498i | \(-0.241291\pi\) | |||||||
\(440\) | −0.148621 | + | 0.0858062i | −0.000337774 | + | 0.000195014i | ||||
\(441\) | 113.040 | + | 88.8953i | 0.256325 | + | 0.201577i | ||||
\(442\) | 138.628 | + | 159.986i | 0.313639 | + | 0.361958i | ||||
\(443\) | −74.0210 | − | 775.182i | −0.167090 | − | 1.74985i | −0.558385 | − | 0.829582i | \(-0.688579\pi\) |
0.391295 | − | 0.920265i | \(-0.372027\pi\) | |||||||
\(444\) | −67.2927 | + | 9.67523i | −0.151560 | + | 0.0217911i | ||||
\(445\) | 713.048 | + | 325.638i | 1.60235 | + | 0.731771i | ||||
\(446\) | −621.524 | − | 651.836i | −1.39355 | − | 1.46152i | ||||
\(447\) | −101.086 | − | 344.267i | −0.226143 | − | 0.770172i | ||||
\(448\) | −82.1060 | − | 28.4171i | −0.183272 | − | 0.0634311i | ||||
\(449\) | 100.134 | + | 412.758i | 0.223016 | + | 0.919283i | 0.967748 | + | 0.251920i | \(0.0810619\pi\) |
−0.744732 | + | 0.667363i | \(0.767423\pi\) | |||||||
\(450\) | −83.9986 | + | 4.00135i | −0.186664 | + | 0.00889188i | ||||
\(451\) | −0.110352 | − | 0.0105373i | −0.000244682 | − | 2.33643e-5i | ||||
\(452\) | 323.335 | − | 230.246i | 0.715342 | − | 0.509393i | ||||
\(453\) | −262.075 | + | 90.7052i | −0.578533 | + | 0.200232i | ||||
\(454\) | 98.9404 | + | 153.954i | 0.217930 | + | 0.339106i | ||||
\(455\) | 28.8251 | − | 13.1640i | 0.0633518 | − | 0.0289318i | ||||
\(456\) | −107.698 | − | 43.1158i | −0.236180 | − | 0.0945521i | ||||
\(457\) | −624.855 | + | 491.391i | −1.36730 | + | 1.07525i | −0.378563 | + | 0.925575i | \(0.623582\pi\) |
−0.988735 | + | 0.149679i | \(0.952176\pi\) | |||||||
\(458\) | −273.464 | − | 52.7059i | −0.597083 | − | 0.115078i | ||||
\(459\) | 69.2916 | + | 16.8100i | 0.150962 | + | 0.0366230i | ||||
\(460\) | −311.869 | + | 485.277i | −0.677976 | + | 1.05495i | ||||
\(461\) | 54.8027 | − | 381.161i | 0.118878 | − | 0.826814i | −0.839917 | − | 0.542715i | \(-0.817396\pi\) |
0.958795 | − | 0.284099i | \(-0.0916945\pi\) | |||||||
\(462\) | 0.00352609 | − | 0.0740217i | 7.63223e−6 | − | 0.000160220i | ||||
\(463\) | 134.120 | + | 695.881i | 0.289676 | + | 1.50298i | 0.776854 | + | 0.629680i | \(0.216814\pi\) |
−0.487178 | + | 0.873303i | \(0.661974\pi\) | |||||||
\(464\) | 137.985 | − | 159.243i | 0.297382 | − | 0.343197i | ||||
\(465\) | 224.583 | + | 159.925i | 0.482974 | + | 0.343924i | ||||
\(466\) | 872.993 | + | 256.334i | 1.87338 | + | 0.550073i | ||||
\(467\) | 345.508 | − | 178.122i | 0.739845 | − | 0.381416i | −0.0467332 | − | 0.998907i | \(-0.514881\pi\) |
0.786578 | + | 0.617491i | \(0.211851\pi\) | |||||||
\(468\) | 73.7994i | 0.157691i | ||||||||
\(469\) | −11.2789 | − | 68.2011i | −0.0240488 | − | 0.145418i | ||||
\(470\) | −729.348 | −1.55181 | ||||||||
\(471\) | 148.924 | + | 288.873i | 0.316187 | + | 0.613318i | ||||
\(472\) | −19.8135 | + | 67.4787i | −0.0419778 | + | 0.142963i | ||||
\(473\) | −0.324359 | + | 0.455499i | −0.000685749 | + | 0.000962999i | ||||
\(474\) | 295.618 | + | 256.155i | 0.623667 | + | 0.540411i | ||||
\(475\) | −300.597 | + | 57.9353i | −0.632836 | + | 0.121969i | ||||
\(476\) | −66.5303 | − | 3.16923i | −0.139770 | − | 0.00665805i | ||||
\(477\) | 132.811 | + | 19.0953i | 0.278429 | + | 0.0400321i | ||||
\(478\) | −769.944 | − | 494.813i | −1.61076 | − | 1.03517i | ||||
\(479\) | −37.1546 | + | 153.153i | −0.0775670 | + | 0.319735i | −0.997355 | − | 0.0726793i | \(-0.976845\pi\) |
0.919788 | + | 0.392415i | \(0.128360\pi\) | |||||||
\(480\) | 88.0686 | − | 456.943i | 0.183476 | − | 0.951965i | ||||
\(481\) | 26.9677 | + | 34.2923i | 0.0560660 | + | 0.0712937i | ||||
\(482\) | 180.923 | − | 451.924i | 0.375359 | − | 0.937601i | ||||
\(483\) | −15.4970 | − | 33.9336i | −0.0320848 | − | 0.0702560i | ||||
\(484\) | −478.884 | + | 307.760i | −0.989430 | + | 0.635868i | ||||
\(485\) | −60.1767 | − | 173.869i | −0.124076 | − | 0.358493i | ||||
\(486\) | 26.6776 | + | 37.4635i | 0.0548922 | + | 0.0770854i | ||||
\(487\) | −26.9570 | + | 282.307i | −0.0553532 | + | 0.579685i | 0.924666 | + | 0.380780i | \(0.124345\pi\) |
−0.980019 | + | 0.198905i | \(0.936262\pi\) | |||||||
\(488\) | 0.542471 | + | 11.3879i | 0.00111162 | + | 0.0233358i | ||||
\(489\) | 421.255 | − | 102.195i | 0.861462 | − | 0.208988i | ||||
\(490\) | 271.697 | − | 785.016i | 0.554483 | − | 1.60207i | ||||
\(491\) | −272.575 | + | 80.0354i | −0.555144 | + | 0.163005i | −0.547258 | − | 0.836964i | \(-0.684328\pi\) |
−0.00788567 | + | 0.999969i | \(0.502510\pi\) | |||||||
\(492\) | −46.5122 | + | 44.3493i | −0.0945370 | + | 0.0901408i | ||||
\(493\) | 94.6848 | − | 207.331i | 0.192058 | − | 0.420549i | ||||
\(494\) | 70.7411 | + | 492.015i | 0.143201 | + | 0.995982i | ||||
\(495\) | 0.246551 | − | 0.0235428i | 0.000498084 | − | 4.75612e-5i | ||||
\(496\) | −259.806 | + | 225.123i | −0.523802 | + | 0.453877i | ||||
\(497\) | −31.6345 | + | 40.2266i | −0.0636510 | + | 0.0809388i | ||||
\(498\) | −49.1917 | − | 85.2025i | −0.0987785 | − | 0.171089i | ||||
\(499\) | 109.557 | + | 63.2527i | 0.219553 | + | 0.126759i | 0.605743 | − | 0.795660i | \(-0.292876\pi\) |
−0.386190 | + | 0.922419i | \(0.626209\pi\) | |||||||
\(500\) | −159.179 | − | 397.611i | −0.318359 | − | 0.795222i | ||||
\(501\) | 90.3609 | − | 94.7678i | 0.180361 | − | 0.189157i | ||||
\(502\) | 89.7616 | + | 46.2753i | 0.178808 | + | 0.0921819i | ||||
\(503\) | 3.56761 | − | 6.92019i | 0.00709266 | − | 0.0137578i | −0.885263 | − | 0.465092i | \(-0.846021\pi\) |
0.892355 | + | 0.451334i | \(0.149052\pi\) | |||||||
\(504\) | −4.65659 | − | 4.44005i | −0.00923926 | − | 0.00880961i | ||||
\(505\) | −360.422 | + | 144.291i | −0.713707 | + | 0.285725i | ||||
\(506\) | 0.432826 | − | 0.749676i | 0.000855386 | − | 0.00148157i | ||||
\(507\) | −212.487 | + | 122.680i | −0.419107 | + | 0.241972i | ||||
\(508\) | 376.810 | + | 296.327i | 0.741752 | + | 0.583320i | ||||
\(509\) | −241.318 | − | 278.496i | −0.474102 | − | 0.547143i | 0.467446 | − | 0.884022i | \(-0.345174\pi\) |
−0.941548 | + | 0.336879i | \(0.890629\pi\) | |||||||
\(510\) | −39.1513 | − | 410.011i | −0.0767673 | − | 0.803944i | ||||
\(511\) | −121.137 | + | 17.4168i | −0.237058 | + | 0.0340839i | ||||
\(512\) | 623.750 | + | 284.857i | 1.21826 | + | 0.556362i | ||||
\(513\) | 115.536 | + | 121.170i | 0.225216 | + | 0.236199i | ||||
\(514\) | −33.7050 | − | 114.789i | −0.0655740 | − | 0.223325i | ||||
\(515\) | −313.866 | − | 108.630i | −0.609449 | − | 0.210932i | ||||
\(516\) | 76.4297 | + | 315.047i | 0.148120 | + | 0.610557i | ||||
\(517\) | 0.590874 | − | 0.0281468i | 0.00114289 | − | 5.44425e-5i | ||||
\(518\) | −25.2819 | − | 2.41413i | −0.0488068 | − | 0.00466048i | ||||
\(519\) | 172.190 | − | 122.616i | 0.331772 | − | 0.236254i | ||||
\(520\) | 60.3326 | − | 20.8813i | 0.116024 | − | 0.0401564i | ||||
\(521\) | −238.890 | − | 371.719i | −0.458521 | − | 0.713473i | 0.532610 | − | 0.846361i | \(-0.321211\pi\) |
−0.991131 | + | 0.132888i | \(0.957575\pi\) | |||||||
\(522\) | 133.734 | − | 61.0742i | 0.256195 | − | 0.117000i | ||||
\(523\) | 809.532 | + | 324.088i | 1.54786 | + | 0.619671i | 0.979199 | − | 0.202900i | \(-0.0650367\pi\) |
0.568663 | + | 0.822571i | \(0.307461\pi\) | |||||||
\(524\) | −431.730 | + | 339.516i | −0.823912 | + | 0.647932i | ||||
\(525\) | −16.6719 | − | 3.21325i | −0.0317561 | − | 0.00612048i | ||||
\(526\) | −1437.23 | − | 348.669i | −2.73238 | − | 0.662869i | ||||
\(527\) | −201.045 | + | 312.833i | −0.381490 | + | 0.593611i | ||||
\(528\) | −0.0439496 | + | 0.305676i | −8.32378e−5 | + | 0.000578932i | ||||
\(529\) | −4.43611 | + | 93.1254i | −0.00838584 | + | 0.176041i | ||||
\(530\) | −146.684 | − | 761.070i | −0.276763 | − | 1.43598i | ||||
\(531\) | 66.4667 | − | 76.7066i | 0.125173 | − | 0.144457i | ||||
\(532\) | −127.398 | − | 90.7195i | −0.239469 | − | 0.170525i | ||||
\(533\) | 39.5697 | + | 11.6187i | 0.0742396 | + | 0.0217987i | ||||
\(534\) | −606.167 | + | 312.501i | −1.13514 | + | 0.585208i | ||||
\(535\) | 146.061i | 0.273011i | ||||||||
\(536\) | −9.55965 | − | 138.944i | −0.0178352 | − | 0.259224i | ||||
\(537\) | −363.899 | −0.677652 | ||||||||
\(538\) | −9.85809 | − | 19.1220i | −0.0183236 | − | 0.0355428i | ||||
\(539\) | −0.189817 | + | 0.646458i | −0.000352165 | + | 0.00119937i | ||||
\(540\) | 83.2889 | − | 116.963i | 0.154239 | − | 0.216598i | ||||
\(541\) | −262.604 | − | 227.548i | −0.485405 | − | 0.420606i | 0.377471 | − | 0.926021i | \(-0.376794\pi\) |
−0.862876 | + | 0.505416i | \(0.831339\pi\) | |||||||
\(542\) | 105.853 | − | 20.4015i | 0.195301 | − | 0.0376412i | ||||
\(543\) | −403.955 | − | 19.2427i | −0.743931 | − | 0.0354378i | ||||
\(544\) | 621.269 | + | 89.3250i | 1.14204 | + | 0.164200i | ||||
\(545\) | −764.176 | − | 491.106i | −1.40216 | − | 0.901113i | ||||
\(546\) | −6.49966 | + | 26.7920i | −0.0119041 | + | 0.0490696i | ||||
\(547\) | 77.1075 | − | 400.072i | 0.140964 | − | 0.731393i | −0.840808 | − | 0.541333i | \(-0.817920\pi\) |
0.981773 | − | 0.190059i | \(-0.0608681\pi\) | |||||||
\(548\) | −211.991 | − | 269.569i | −0.386845 | − | 0.491913i | ||||
\(549\) | 6.11524 | − | 15.2751i | 0.0111389 | − | 0.0278235i | ||||
\(550\) | −0.163669 | − | 0.358385i | −0.000297580 | − | 0.000651609i | ||||
\(551\) | 450.239 | − | 289.351i | 0.817131 | − | 0.525138i | ||||
\(552\) | −24.5821 | − | 71.0252i | −0.0445327 | − | 0.128669i | ||||
\(553\) | 45.8106 | + | 64.3320i | 0.0828401 | + | 0.116333i | ||||
\(554\) | −133.542 | + | 1398.52i | −0.241051 | + | 2.52440i | ||||
\(555\) | −4.03878 | − | 84.7844i | −0.00727708 | − | 0.152765i | ||||
\(556\) | 1008.15 | − | 244.575i | 1.81322 | − | 0.439883i | ||||
\(557\) | 38.0350 | − | 109.895i | 0.0682855 | − | 0.197298i | −0.905695 | − | 0.423930i | \(-0.860650\pi\) |
0.973980 | + | 0.226632i | \(0.0727715\pi\) | |||||||
\(558\) | −230.147 | + | 67.5772i | −0.412450 | + | 0.121106i | ||||
\(559\) | 150.559 | − | 143.557i | 0.269336 | − | 0.256811i | ||||
\(560\) | 31.9357 | − | 69.9295i | 0.0570281 | − | 0.124874i | ||||
\(561\) | 0.0475411 | + | 0.330655i | 8.47434e−5 | + | 0.000589404i | ||||
\(562\) | −148.950 | + | 14.2230i | −0.265036 | + | 0.0253079i | ||||
\(563\) | 136.733 | − | 118.479i | 0.242864 | − | 0.210443i | −0.524920 | − | 0.851152i | \(-0.675905\pi\) |
0.767784 | + | 0.640709i | \(0.221359\pi\) | |||||||
\(564\) | 211.995 | − | 269.574i | 0.375878 | − | 0.477967i | ||||
\(565\) | 247.792 | + | 429.189i | 0.438570 | + | 0.759626i | ||||
\(566\) | −338.035 | − | 195.164i | −0.597235 | − | 0.344814i | ||||
\(567\) | 3.45118 | + | 8.62062i | 0.00608673 | + | 0.0152039i | ||||
\(568\) | −71.1501 | + | 74.6201i | −0.125264 | + | 0.131373i | ||||
\(569\) | −939.407 | − | 484.298i | −1.65098 | − | 0.851138i | −0.995378 | − | 0.0960300i | \(-0.969386\pi\) |
−0.655600 | − | 0.755108i | \(-0.727584\pi\) | |||||||
\(570\) | 443.165 | − | 859.620i | 0.777482 | − | 1.50811i | ||||
\(571\) | −534.805 | − | 509.935i | −0.936611 | − | 0.893057i | 0.0578329 | − | 0.998326i | \(-0.481581\pi\) |
−0.994444 | + | 0.105270i | \(0.966429\pi\) | |||||||
\(572\) | −0.320991 | + | 0.128506i | −0.000561174 | + | 0.000224660i | ||||
\(573\) | 139.348 | − | 241.357i | 0.243189 | − | 0.421217i | ||||
\(574\) | −20.7916 | + | 12.0040i | −0.0362223 | + | 0.0209130i | ||||
\(575\) | −155.901 | − | 122.602i | −0.271133 | − | 0.213221i | ||||
\(576\) | 165.439 | + | 190.926i | 0.287220 | + | 0.331469i | ||||
\(577\) | 0.725626 | + | 7.59910i | 0.00125758 | + | 0.0131700i | 0.996079 | − | 0.0884690i | \(-0.0281974\pi\) |
−0.994821 | + | 0.101639i | \(0.967591\pi\) | |||||||
\(578\) | −294.097 | + | 42.2848i | −0.508819 | + | 0.0731571i | ||||
\(579\) | −381.310 | − | 174.138i | −0.658567 | − | 0.300757i | ||||
\(580\) | −316.749 | − | 332.196i | −0.546118 | − | 0.572752i | ||||
\(581\) | −5.59629 | − | 19.0592i | −0.00963217 | − | 0.0328042i | ||||
\(582\) | 151.266 | + | 52.3536i | 0.259907 | + | 0.0899547i | ||||
\(583\) | 0.148206 | + | 0.610912i | 0.000254212 | + | 0.00104788i | ||||
\(584\) | −246.288 | + | 11.7321i | −0.421725 | + | 0.0200893i | ||||
\(585\) | −91.7231 | − | 8.75850i | −0.156792 | − | 0.0149718i | ||||
\(586\) | 412.259 | − | 293.568i | 0.703513 | − | 0.500969i | ||||
\(587\) | 752.929 | − | 260.591i | 1.28267 | − | 0.443938i | 0.401122 | − | 0.916025i | \(-0.368620\pi\) |
0.881552 | + | 0.472087i | \(0.156499\pi\) | |||||||
\(588\) | 211.177 | + | 328.597i | 0.359144 | + | 0.558839i | ||||
\(589\) | −794.273 | + | 362.732i | −1.34851 | + | 0.615844i | ||||
\(590\) | −544.306 | − | 217.907i | −0.922552 | − | 0.369334i | ||||
\(591\) | −220.527 | + | 173.424i | −0.373142 | + | 0.293442i | ||||
\(592\) | 103.924 | + | 20.0296i | 0.175547 | + | 0.0338338i | ||||
\(593\) | −41.4540 | − | 10.0566i | −0.0699056 | − | 0.0169589i | 0.200654 | − | 0.979662i | \(-0.435693\pi\) |
−0.270559 | + | 0.962703i | \(0.587209\pi\) | |||||||
\(594\) | −0.116495 | + | 0.181269i | −0.000196119 | + | 0.000305167i | ||||
\(595\) | 11.8347 | − | 82.3124i | 0.0198903 | − | 0.138340i | ||||
\(596\) | 46.3718 | − | 973.463i | 0.0778050 | − | 1.63333i | ||||
\(597\) | −62.2770 | − | 323.124i | −0.104317 | − | 0.541246i | ||||
\(598\) | −210.894 | + | 243.384i | −0.352665 | + | 0.406997i | ||||
\(599\) | 925.843 | + | 659.290i | 1.54565 | + | 1.10065i | 0.956149 | + | 0.292881i | \(0.0946139\pi\) |
0.589498 | + | 0.807770i | \(0.299325\pi\) | |||||||
\(600\) | −32.8219 | − | 9.63737i | −0.0547031 | − | 0.0160623i | ||||
\(601\) | −498.506 | + | 256.998i | −0.829461 | + | 0.427617i | −0.820017 | − | 0.572339i | \(-0.806036\pi\) |
−0.00944351 | + | 0.999955i | \(0.503006\pi\) | |||||||
\(602\) | 121.105i | 0.201172i | ||||||||
\(603\) | −70.7517 | + | 188.136i | −0.117333 | + | 0.312000i | ||||
\(604\) | −753.273 | −1.24714 | ||||||||
\(605\) | −325.672 | − | 631.716i | −0.538301 | − | 1.04416i | ||||
\(606\) | 95.1582 | − | 324.079i | 0.157027 | − | 0.534784i | ||||
\(607\) | −223.052 | + | 313.233i | −0.367466 | + | 0.516034i | −0.956366 | − | 0.292172i | \(-0.905622\pi\) |
0.588899 | + | 0.808206i | \(0.299561\pi\) | |||||||
\(608\) | 1113.83 | + | 965.139i | 1.83196 | + | 1.58740i | ||||
\(609\) | 29.1472 | − | 5.61767i | 0.0478608 | − | 0.00922442i | ||||
\(610\) | −94.9381 | − | 4.52246i | −0.155636 | − | 0.00741387i | ||||
\(611\) | −217.829 | − | 31.3191i | −0.356512 | − | 0.0512587i | ||||
\(612\) | 162.924 | + | 104.705i | 0.266215 | + | 0.171086i | ||||
\(613\) | −123.853 | + | 510.529i | −0.202044 | + | 0.832838i | 0.777051 | + | 0.629437i | \(0.216714\pi\) |
−0.979096 | + | 0.203400i | \(0.934801\pi\) | |||||||
\(614\) | −215.161 | + | 1116.36i | −0.350426 | + | 1.81818i | ||||
\(615\) | −49.6004 | − | 63.0720i | −0.0806510 | − | 0.102556i | ||||
\(616\) | 0.0112036 | − | 0.0279852i | 1.81877e−5 | − | 4.54306e-5i | ||||
\(617\) | 481.980 | + | 1055.39i | 0.781168 | + | 1.71052i | 0.700361 | + | 0.713789i | \(0.253022\pi\) |
0.0808064 | + | 0.996730i | \(0.474250\pi\) | |||||||
\(618\) | 243.084 | − | 156.221i | 0.393341 | − | 0.252785i | ||||
\(619\) | 394.086 | + | 1138.64i | 0.636649 | + | 1.83948i | 0.535368 | + | 0.844619i | \(0.320173\pi\) |
0.101281 | + | 0.994858i | \(0.467706\pi\) | |||||||
\(620\) | 434.384 | + | 610.007i | 0.700620 | + | 0.983883i | ||||
\(621\) | −10.3107 | + | 107.979i | −0.0166034 | + | 0.173879i | ||||
\(622\) | −79.4856 | − | 1668.61i | −0.127790 | − | 2.68265i | ||||
\(623\) | −133.812 | + | 32.4624i | −0.214787 | + | 0.0521066i | ||||
\(624\) | 37.5763 | − | 108.570i | 0.0602184 | − | 0.173990i | ||||
\(625\) | 740.974 | − | 217.570i | 1.18556 | − | 0.348111i | ||||
\(626\) | −262.639 | + | 250.426i | −0.419551 | + | 0.400041i | ||||
\(627\) | −0.325851 | + | 0.713515i | −0.000519699 | + | 0.00113798i | ||||
\(628\) | 125.630 | + | 873.776i | 0.200048 | + | 1.39136i | ||||
\(629\) | 113.967 | − | 10.8825i | 0.181187 | − | 0.0173012i | ||||
\(630\) | 40.5382 | − | 35.1265i | 0.0643463 | − | 0.0557564i | ||||
\(631\) | −664.010 | + | 844.357i | −1.05231 | + | 1.33813i | −0.113562 | + | 0.993531i | \(0.536226\pi\) |
−0.938751 | + | 0.344595i | \(0.888016\pi\) | |||||||
\(632\) | 79.5574 | + | 137.798i | 0.125882 | + | 0.218034i | ||||
\(633\) | −255.706 | − | 147.632i | −0.403959 | − | 0.233226i | ||||
\(634\) | 618.778 | + | 1545.63i | 0.975990 | + | 2.43791i | ||||
\(635\) | −413.016 | + | 433.158i | −0.650418 | + | 0.682139i | ||||
\(636\) | 323.934 | + | 166.999i | 0.509330 | + | 0.262578i | ||||
\(637\) | 114.855 | − | 222.788i | 0.180306 | − | 0.349745i | ||||
\(638\) | 0.498511 | + | 0.475329i | 0.000781365 | + | 0.000745030i | ||||
\(639\) | 138.142 | − | 55.3038i | 0.216185 | − | 0.0865475i | ||||
\(640\) | 192.326 | − | 333.118i | 0.300509 | − | 0.520497i | ||||
\(641\) | 749.914 | − | 432.963i | 1.16991 | − | 0.675449i | 0.216253 | − | 0.976337i | \(-0.430617\pi\) |
0.953659 | + | 0.300889i | \(0.0972832\pi\) | |||||||
\(642\) | −99.8857 | − | 78.5510i | −0.155585 | − | 0.122354i | ||||
\(643\) | −492.679 | − | 568.582i | −0.766220 | − | 0.884265i | 0.229815 | − | 0.973234i | \(-0.426188\pi\) |
−0.996034 | + | 0.0889696i | \(0.971643\pi\) | |||||||
\(644\) | −9.63170 | − | 100.868i | −0.0149561 | − | 0.156627i | ||||
\(645\) | −400.634 | + | 57.6024i | −0.621138 | + | 0.0893061i | ||||
\(646\) | 1186.56 | + | 541.886i | 1.83679 | + | 0.838832i | ||||
\(647\) | −585.845 | − | 614.417i | −0.905480 | − | 0.949640i | 0.0934625 | − | 0.995623i | \(-0.470206\pi\) |
−0.998942 | + | 0.0459830i | \(0.985358\pi\) | |||||||
\(648\) | 5.27073 | + | 17.9505i | 0.00813385 | + | 0.0277013i | ||||
\(649\) | 0.449373 | + | 0.155530i | 0.000692409 | + | 0.000239645i | ||||
\(650\) | 34.5560 | + | 142.442i | 0.0531631 | + | 0.219141i | ||||
\(651\) | −48.3741 | + | 2.30434i | −0.0743074 | + | 0.00353970i | ||||
\(652\) | 1172.06 | + | 111.918i | 1.79764 | + | 0.171654i | ||||
\(653\) | −973.907 | + | 693.516i | −1.49144 | + | 1.06205i | −0.512307 | + | 0.858802i | \(0.671209\pi\) |
−0.979128 | + | 0.203244i | \(0.934852\pi\) | |||||||
\(654\) | 746.822 | − | 258.478i | 1.14193 | − | 0.395226i | ||||
\(655\) | −370.737 | − | 576.878i | −0.566011 | − | 0.880730i | ||||
\(656\) | 91.0074 | − | 41.5617i | 0.138731 | − | 0.0633562i | ||||
\(657\) | 330.358 | + | 132.255i | 0.502828 | + | 0.201302i | ||||
\(658\) | 100.704 | − | 79.1945i | 0.153046 | − | 0.120356i | ||||
\(659\) | 110.059 | + | 21.2121i | 0.167008 | + | 0.0321882i | 0.272070 | − | 0.962277i | \(-0.412292\pi\) |
−0.105061 | + | 0.994466i | \(0.533504\pi\) | |||||||
\(660\) | 0.653761 | + | 0.158601i | 0.000990547 | + | 0.000240304i | ||||
\(661\) | 397.925 | − | 619.183i | 0.602004 | − | 0.936737i | −0.397810 | − | 0.917468i | \(-0.630230\pi\) |
0.999814 | − | 0.0192690i | \(-0.00613390\pi\) | |||||||
\(662\) | −161.200 | + | 1121.17i | −0.243504 | + | 1.69361i | ||||
\(663\) | 5.91333 | − | 124.136i | 0.00891905 | − | 0.187234i | ||||
\(664\) | −7.57387 | − | 39.2970i | −0.0114064 | − | 0.0591822i | ||||
\(665\) | 127.872 | − | 147.572i | 0.192289 | − | 0.221913i | ||||
\(666\) | 60.1531 | + | 42.8348i | 0.0903199 | + | 0.0643165i | ||||
\(667\) | 332.699 | + | 97.6891i | 0.498798 | + | 0.146460i | ||||
\(668\) | 316.127 | − | 162.975i | 0.473244 | − | 0.243974i | ||||
\(669\) | 528.745i | 0.790352i | ||||||||
\(670\) | 1160.68 | + | 30.7721i | 1.73235 | + | 0.0459285i | ||||
\(671\) | 0.0770876 | 0.000114885 | ||||||||
\(672\) | 37.4561 | + | 72.6547i | 0.0557383 | + | 0.108117i | ||||
\(673\) | −325.346 | + | 1108.03i | −0.483427 | + | 1.64640i | 0.251205 | + | 0.967934i | \(0.419173\pi\) |
−0.734632 | + | 0.678466i | \(0.762645\pi\) | |||||||
\(674\) | −16.5740 | + | 23.2750i | −0.0245906 | + | 0.0345326i | ||||
\(675\) | 37.3104 | + | 32.3296i | 0.0552746 | + | 0.0478957i | ||||
\(676\) | −654.397 | + | 126.125i | −0.968042 | + | 0.186575i | ||||
\(677\) | 1021.62 | + | 48.6659i | 1.50904 | + | 0.0718846i | 0.785702 | − | 0.618606i | \(-0.212302\pi\) |
0.723342 | + | 0.690490i | \(0.242605\pi\) | |||||||
\(678\) | −426.769 | − | 61.3601i | −0.629452 | − | 0.0905016i | ||||
\(679\) | 27.1880 | + | 17.4727i | 0.0400413 | + | 0.0257330i | ||||
\(680\) | 39.4996 | − | 162.819i | 0.0580876 | − | 0.239440i | ||||
\(681\) | 20.3325 | − | 105.495i | 0.0298568 | − | 0.154912i | ||||
\(682\) | −0.694678 | − | 0.883355i | −0.00101859 | − | 0.00129524i | ||||
\(683\) | 132.866 | − | 331.884i | 0.194533 | − | 0.485921i | −0.798745 | − | 0.601670i | \(-0.794502\pi\) |
0.993279 | + | 0.115749i | \(0.0369267\pi\) | |||||||
\(684\) | 188.911 | + | 413.658i | 0.276186 | + | 0.604763i | ||||
\(685\) | 360.198 | − | 231.485i | 0.525836 | − | 0.337934i | ||||
\(686\) | 96.5095 | + | 278.846i | 0.140684 | + | 0.406481i | ||||
\(687\) | 94.8370 | + | 133.180i | 0.138045 | + | 0.193857i | ||||
\(688\) | 47.9730 | − | 502.396i | 0.0697281 | − | 0.730226i | ||||
\(689\) | −11.1278 | − | 233.602i | −0.0161507 | − | 0.339044i | ||||
\(690\) | 608.920 | − | 147.722i | 0.882493 | − | 0.214090i | ||||
\(691\) | 38.1839 | − | 110.325i | 0.0552589 | − | 0.159660i | −0.913993 | − | 0.405729i | \(-0.867018\pi\) |
0.969252 | + | 0.246069i | \(0.0791389\pi\) | |||||||
\(692\) | 550.904 | − | 161.760i | 0.796104 | − | 0.233757i | ||||
\(693\) | −0.0314860 | + | 0.0300218i | −4.54343e−5 | + | 4.33216e-5i | ||||
\(694\) | 483.038 | − | 1057.71i | 0.696020 | − | 1.52407i | ||||
\(695\) | 184.328 | + | 1282.03i | 0.265220 | + | 1.84465i | ||||
\(696\) | 59.5336 | − | 5.68477i | 0.0855368 | − | 0.00816777i | ||||
\(697\) | 81.7905 | − | 70.8719i | 0.117346 | − | 0.101681i | ||||
\(698\) | 668.108 | − | 849.568i | 0.957175 | − | 1.21715i | ||||
\(699\) | −267.071 | − | 462.580i | −0.382075 | − | 0.661774i | ||||
\(700\) | −39.9388 | − | 23.0587i | −0.0570554 | − | 0.0329410i | ||||
\(701\) | 146.441 | + | 365.792i | 0.208903 | + | 0.521814i | 0.995403 | − | 0.0957761i | \(-0.0305333\pi\) |
−0.786500 | + | 0.617590i | \(0.788109\pi\) | |||||||
\(702\) | 55.3180 | − | 58.0159i | 0.0788006 | − | 0.0826437i | ||||
\(703\) | 238.940 | + | 123.182i | 0.339886 | + | 0.175223i | ||||
\(704\) | −0.542360 | + | 1.05203i | −0.000770398 | + | 0.00149436i | ||||
\(705\) | 309.885 | + | 295.475i | 0.439554 | + | 0.419114i | ||||
\(706\) | −739.521 | + | 296.060i | −1.04748 | + | 0.419348i | ||||
\(707\) | 34.0974 | − | 59.0584i | 0.0482283 | − | 0.0835338i | ||||
\(708\) | 238.750 | − | 137.843i | 0.337218 | − | 0.194693i | ||||
\(709\) | 5.79635 | + | 4.55830i | 0.00817538 | + | 0.00642919i | 0.622238 | − | 0.782828i | \(-0.286223\pi\) |
−0.614063 | + | 0.789257i | \(0.710466\pi\) | |||||||
\(710\) | −562.890 | − | 649.610i | −0.792803 | − | 0.914943i | ||||
\(711\) | −21.8283 | − | 228.597i | −0.0307009 | − | 0.321514i | ||||
\(712\) | −274.590 | + | 39.4801i | −0.385661 | + | 0.0554496i | ||||
\(713\) | −514.591 | − | 235.006i | −0.721727 | − | 0.329602i | ||||
\(714\) | 49.9259 | + | 52.3607i | 0.0699242 | + | 0.0733344i | ||||
\(715\) | −0.121621 | − | 0.414202i | −0.000170099 | − | 0.000579303i | ||||
\(716\) | −934.053 | − | 323.279i | −1.30454 | − | 0.451507i | ||||
\(717\) | 126.674 | + | 522.157i | 0.176672 | + | 0.728253i | ||||
\(718\) | 1807.14 | − | 86.0846i | 2.51691 | − | 0.119895i | ||||
\(719\) | 1008.59 | + | 96.3085i | 1.40277 | + | 0.133948i | 0.768837 | − | 0.639444i | \(-0.220836\pi\) |
0.633928 | + | 0.773392i | \(0.281442\pi\) | |||||||
\(720\) | −182.084 | + | 129.661i | −0.252894 | + | 0.180085i | ||||
\(721\) | 55.1321 | − | 19.0814i | 0.0764661 | − | 0.0264652i | ||||
\(722\) | 1080.15 | + | 1680.74i | 1.49605 | + | 2.32790i | ||||
\(723\) | −259.955 | + | 118.717i | −0.359550 | + | 0.164201i | ||||
\(724\) | −1019.77 | − | 408.255i | −1.40853 | − | 0.563889i | ||||
\(725\) | 124.052 | − | 97.5553i | 0.171106 | − | 0.134559i | ||||
\(726\) | 607.154 | + | 117.019i | 0.836300 | + | 0.161184i | ||||
\(727\) | 399.252 | + | 96.8575i | 0.549178 | + | 0.133229i | 0.500741 | − | 0.865597i | \(-0.333061\pi\) |
0.0484367 | + | 0.998826i | \(0.484576\pi\) | |||||||
\(728\) | −6.06302 | + | 9.43424i | −0.00832832 | + | 0.0129591i | ||||
\(729\) | 3.84250 | − | 26.7252i | 0.00527092 | − | 0.0366601i | ||||
\(730\) | 97.8081 | − | 2053.24i | 0.133984 | − | 2.81266i | ||||
\(731\) | −103.317 | − | 536.057i | −0.141336 | − | 0.733320i | ||||
\(732\) | 29.2666 | − | 33.7754i | 0.0399817 | − | 0.0461413i | ||||
\(733\) | −556.972 | − | 396.618i | −0.759853 | − | 0.541089i | 0.133174 | − | 0.991093i | \(-0.457483\pi\) |
−0.893026 | + | 0.450004i | \(0.851423\pi\) | |||||||
\(734\) | −1191.65 | − | 349.900i | −1.62350 | − | 0.476704i | ||||
\(735\) | −433.466 | + | 223.467i | −0.589750 | + | 0.304037i | ||||
\(736\) | 954.847i | 1.29735i | ||||||||
\(737\) | −0.941498 | + | 0.0198628i | −0.00127747 | + | 2.69509e-5i | ||||
\(738\) | 69.8076 | 0.0945903 | ||||||||
\(739\) | 150.306 | + | 291.553i | 0.203391 | + | 0.394523i | 0.968365 | − | 0.249538i | \(-0.0802786\pi\) |
−0.764974 | + | 0.644061i | \(0.777248\pi\) | |||||||
\(740\) | 64.9536 | − | 221.212i | 0.0877752 | − | 0.298935i | ||||
\(741\) | 169.270 | − | 237.706i | 0.228434 | − | 0.320791i | ||||
\(742\) | 102.892 | + | 89.1566i | 0.138669 | + | 0.120157i | ||||
\(743\) | −1094.29 | + | 210.908i | −1.47280 | + | 0.283860i | −0.861590 | − | 0.507605i | \(-0.830531\pi\) |
−0.611215 | + | 0.791465i | \(0.709319\pi\) | |||||||
\(744\) | −97.4605 | − | 4.64261i | −0.130995 | − | 0.00624007i | ||||
\(745\) | 1204.39 | + | 173.164i | 1.61662 | + | 0.232436i | ||||
\(746\) | −529.567 | − | 340.332i | −0.709875 | − | 0.456209i | ||||
\(747\) | −13.6169 | + | 56.1295i | −0.0182287 | + | 0.0751398i | ||||
\(748\) | −0.171718 | + | 0.890958i | −0.000229570 | + | 0.00119112i | ||||
\(749\) | −15.8596 | − | 20.1672i | −0.0211744 | − | 0.0269255i | ||||
\(750\) | −172.903 | + | 431.890i | −0.230537 | + | 0.575854i | ||||
\(751\) | −69.6381 | − | 152.486i | −0.0927272 | − | 0.203044i | 0.857585 | − | 0.514342i | \(-0.171964\pi\) |
−0.950312 | + | 0.311298i | \(0.899236\pi\) | |||||||
\(752\) | −449.133 | + | 288.640i | −0.597252 | + | 0.383830i | ||||
\(753\) | −19.3907 | − | 56.0259i | −0.0257513 | − | 0.0744035i | ||||
\(754\) | −148.641 | − | 208.737i | −0.197136 | − | 0.276839i | ||||
\(755\) | 89.3983 | − | 936.221i | 0.118408 | − | 1.24003i | ||||
\(756\) | 1.20010 | + | 25.1933i | 0.00158744 | + | 0.0333244i | ||||
\(757\) | 99.6036 | − | 24.1636i | 0.131577 | − | 0.0319202i | −0.169430 | − | 0.985542i | \(-0.554193\pi\) |
0.301006 | + | 0.953622i | \(0.402677\pi\) | |||||||
\(758\) | −529.490 | + | 1529.86i | −0.698535 | + | 2.01829i | ||||
\(759\) | −0.487609 | + | 0.143175i | −0.000642436 | + | 0.000188636i | ||||
\(760\) | 284.722 | − | 271.482i | 0.374635 | − | 0.357213i | ||||
\(761\) | −538.617 | + | 1179.41i | −0.707775 | + | 1.54981i | 0.122508 | + | 0.992468i | \(0.460906\pi\) |
−0.830282 | + | 0.557343i | \(0.811821\pi\) | |||||||
\(762\) | −74.1030 | − | 515.398i | −0.0972481 | − | 0.676375i | ||||
\(763\) | 158.838 | − | 15.1672i | 0.208176 | − | 0.0198784i | ||||
\(764\) | 572.092 | − | 495.720i | 0.748811 | − | 0.648849i | ||||
\(765\) | −149.470 | + | 190.067i | −0.195386 | + | 0.248453i | ||||
\(766\) | −393.421 | − | 681.425i | −0.513604 | − | 0.889588i | ||||
\(767\) | −153.206 | − | 88.4538i | −0.199748 | − | 0.115324i | ||||
\(768\) | −92.4629 | − | 230.961i | −0.120394 | − | 0.300731i | ||||
\(769\) | −78.9965 | + | 82.8492i | −0.102726 | + | 0.107736i | −0.773090 | − | 0.634297i | \(-0.781290\pi\) |
0.670363 | + | 0.742033i | \(0.266138\pi\) | |||||||
\(770\) | 0.223372 | + | 0.115156i | 0.000290093 | + | 0.000149553i | ||||
\(771\) | −32.1829 | + | 62.4261i | −0.0417418 | + | 0.0809677i | ||||
\(772\) | −824.043 | − | 785.723i | −1.06741 | − | 1.01778i | ||||
\(773\) | −132.535 | + | 53.0591i | −0.171456 | + | 0.0686405i | −0.455802 | − | 0.890081i | \(-0.650648\pi\) |
0.284347 | + | 0.958722i | \(0.408223\pi\) | |||||||
\(774\) | 176.067 | − | 304.958i | 0.227477 | − | 0.394002i | ||||
\(775\) | −222.981 | + | 128.738i | −0.287718 | + | 0.166114i | ||||
\(776\) | 51.1821 | + | 40.2500i | 0.0659563 | + | 0.0518686i | ||||
\(777\) | 9.76376 | + | 11.2680i | 0.0125660 | + | 0.0145019i | ||||
\(778\) | −150.979 | − | 1581.13i | −0.194061 | − | 2.03230i | ||||
\(779\) | 251.536 | − | 36.1654i | 0.322896 | − | 0.0464254i | ||||
\(780\) | −227.653 | − | 103.966i | −0.291863 | − | 0.133289i | ||||
\(781\) | 0.481089 | + | 0.504552i | 0.000615991 | + | 0.000646033i | ||||
\(782\) | 238.098 | + | 810.887i | 0.304473 | + | 1.03694i | ||||
\(783\) | −81.5634 | − | 28.2294i | −0.104168 | − | 0.0360528i | ||||
\(784\) | −143.360 | − | 590.938i | −0.182857 | − | 0.753747i | ||||
\(785\) | −1100.90 | + | 52.4424i | −1.40242 | + | 0.0668056i | ||||
\(786\) | 593.888 | + | 56.7094i | 0.755582 | + | 0.0721494i | ||||
\(787\) | −440.824 | + | 313.910i | −0.560133 | + | 0.398869i | −0.824761 | − | 0.565482i | \(-0.808690\pi\) |
0.264628 | + | 0.964351i | \(0.414751\pi\) | |||||||
\(788\) | −720.112 | + | 249.233i | −0.913848 | + | 0.316286i | ||||
\(789\) | 469.398 | + | 730.398i | 0.594928 | + | 0.925726i | ||||
\(790\) | −1206.63 | + | 551.050i | −1.52738 | + | 0.697531i | ||||
\(791\) | −80.8161 | − | 32.3539i | −0.102170 | − | 0.0409025i | ||||
\(792\) | −0.0688979 | + | 0.0541819i | −8.69923e−5 | + | 6.84115e-5i | ||||
\(793\) | −28.1602 | − | 5.42744i | −0.0355110 | − | 0.00684418i | ||||
\(794\) | −453.865 | − | 110.106i | −0.571618 | − | 0.138673i | ||||
\(795\) | −246.003 | + | 382.788i | −0.309438 | + | 0.481495i | ||||
\(796\) | 127.203 | − | 884.717i | 0.159803 | − | 1.11145i | ||||
\(797\) | 24.4610 | − | 513.499i | 0.0306913 | − | 0.644290i | −0.930148 | − | 0.367184i | \(-0.880322\pi\) |
0.960840 | − | 0.277105i | \(-0.0893751\pi\) | |||||||
\(798\) | 32.1502 | + | 166.811i | 0.0402885 | + | 0.209037i | ||||
\(799\) | −378.191 | + | 436.456i | −0.473331 | + | 0.546253i | ||||
\(800\) | 354.003 | + | 252.084i | 0.442504 | + | 0.315106i | ||||
\(801\) | 384.149 | + | 112.796i | 0.479587 | + | 0.140820i | ||||
\(802\) | −760.998 | + | 392.322i | −0.948876 | + | 0.489179i | ||||
\(803\) | 1.66719i | 0.00207620i | ||||||||
\(804\) | −348.740 | + | 420.052i | −0.433756 | + | 0.522453i | ||||
\(805\) | 126.509 | 0.157154 | ||||||||
\(806\) | 191.573 | + | 371.600i | 0.237684 | + | 0.461043i | ||||
\(807\) | −3.55825 | + | 12.1183i | −0.00440923 | + | 0.0150165i | ||||
\(808\) | 79.6961 | − | 111.918i | 0.0986338 | − | 0.138512i | ||||
\(809\) | 239.296 | + | 207.351i | 0.295792 | + | 0.256306i | 0.790095 | − | 0.612984i | \(-0.210031\pi\) |
−0.494303 | + | 0.869290i | \(0.664577\pi\) | |||||||
\(810\) | −153.148 | + | 29.5169i | −0.189072 | + | 0.0364406i | ||||
\(811\) | 776.174 | + | 36.9737i | 0.957058 | + | 0.0455903i | 0.520295 | − | 0.853986i | \(-0.325822\pi\) |
0.436763 | + | 0.899577i | \(0.356125\pi\) | |||||||
\(812\) | 79.8055 | + | 11.4743i | 0.0982826 | + | 0.0141309i | ||||
\(813\) | −53.2400 | − | 34.2153i | −0.0654859 | − | 0.0420852i | ||||
\(814\) | −0.0815670 | + | 0.336224i | −0.000100205 | + | 0.000413051i | ||||
\(815\) | −278.200 | + | 1443.44i | −0.341350 | + | 1.77109i | ||||
\(816\) | −186.372 | − | 236.991i | −0.228397 | − | 0.290430i | ||||
\(817\) | 476.429 | − | 1190.06i | 0.583144 | − | 1.45662i | ||||
\(818\) | 528.244 | + | 1156.69i | 0.645775 | + | 1.41405i | ||||
\(819\) | 13.6156 | − | 8.75022i | 0.0166247 | − | 0.0106840i | ||||
\(820\) | −71.2822 | − | 205.956i | −0.0869295 | − | 0.251166i | ||||
\(821\) | −748.233 | − | 1050.75i | −0.911367 | − | 1.27984i | −0.959706 | − | 0.281006i | \(-0.909332\pi\) |
0.0483387 | − | 0.998831i | \(-0.484607\pi\) | |||||||
\(822\) | −35.4089 | + | 370.819i | −0.0430765 | + | 0.451117i | ||||
\(823\) | −19.5820 | − | 411.077i | −0.0237935 | − | 0.499487i | −0.979039 | − | 0.203673i | \(-0.934712\pi\) |
0.955246 | − | 0.295814i | \(-0.0955908\pi\) | |||||||
\(824\) | 114.227 | − | 27.7112i | 0.138625 | − | 0.0336301i | ||||
\(825\) | −0.0756501 | + | 0.218577i | −9.16971e−5 | + | 0.000264941i | ||||
\(826\) | 98.8154 | − | 29.0148i | 0.119631 | − | 0.0351269i | ||||
\(827\) | −130.161 | + | 124.108i | −0.157389 | + | 0.150070i | −0.764682 | − | 0.644408i | \(-0.777104\pi\) |
0.607293 | + | 0.794478i | \(0.292256\pi\) | |||||||
\(828\) | −122.391 | + | 268.000i | −0.147816 | + | 0.323671i | ||||
\(829\) | 200.142 | + | 1392.02i | 0.241426 | + | 1.67916i | 0.644978 | + | 0.764201i | \(0.276866\pi\) |
−0.403552 | + | 0.914957i | \(0.632225\pi\) | |||||||
\(830\) | 332.128 | − | 31.7144i | 0.400155 | − | 0.0382101i | ||||
\(831\) | 623.309 | − | 540.100i | 0.750071 | − | 0.649940i | ||||
\(832\) | 272.195 | − | 346.124i | 0.327157 | − | 0.416014i | ||||
\(833\) | −328.885 | − | 569.645i | −0.394820 | − | 0.683848i | ||||
\(834\) | −975.865 | − | 563.416i | −1.17010 | − | 0.675559i | ||||
\(835\) | 165.039 | + | 412.247i | 0.197651 | + | 0.493708i | ||||
\(836\) | −1.47026 | + | 1.54197i | −0.00175869 | + | 0.00184446i | ||||
\(837\) | 125.162 | + | 64.5254i | 0.149536 | + | 0.0770913i | ||||
\(838\) | 420.416 | − | 815.493i | 0.501689 | − | 0.973142i | ||||
\(839\) | −208.689 | − | 198.985i | −0.248736 | − | 0.237169i | 0.555446 | − | 0.831553i | \(-0.312548\pi\) |
−0.804182 | + | 0.594384i | \(0.797396\pi\) | |||||||
\(840\) | 20.2565 | − | 8.10947i | 0.0241149 | − | 0.00965413i | ||||
\(841\) | 282.547 | − | 489.385i | 0.335965 | − | 0.581909i | ||||
\(842\) | −1554.89 | + | 897.714i | −1.84666 | + | 1.06617i | ||||
\(843\) | 69.0480 | + | 54.2999i | 0.0819074 | + | 0.0644127i | ||||
\(844\) | −525.192 | − | 606.104i | −0.622265 | − | 0.718132i | ||||
\(845\) | −79.0929 | − | 828.299i | −0.0936011 | − | 0.980235i | ||||
\(846\) | −368.720 | + | 53.0140i | −0.435840 | + | 0.0626643i | ||||
\(847\) | 113.560 | + | 51.8612i | 0.134073 | + | 0.0612293i | ||||
\(848\) | −391.522 | − | 410.617i | −0.461701 | − | 0.484218i | ||||
\(849\) | 64.5587 | + | 219.867i | 0.0760409 | + | 0.258972i | ||||
\(850\) | 363.490 | + | 125.805i | 0.427635 | + | 0.148006i | ||||
\(851\) | 41.0608 | + | 169.255i | 0.0482501 | + | 0.198890i | ||||
\(852\) | 403.713 | − | 19.2312i | 0.473842 | − | 0.0225719i | ||||
\(853\) | 448.344 | + | 42.8117i | 0.525608 | + | 0.0501895i | 0.354488 | − | 0.935061i | \(-0.384655\pi\) |
0.171121 | + | 0.985250i | \(0.445261\pi\) | |||||||
\(854\) | 13.5995 | − | 9.68419i | 0.0159245 | − | 0.0113398i | ||||
\(855\) | −536.543 | + | 185.699i | −0.627536 | + | 0.217192i | ||||
\(856\) | −27.9459 | − | 43.4846i | −0.0326471 | − | 0.0507998i | ||||
\(857\) | −152.159 | + | 69.4886i | −0.177548 | + | 0.0810836i | −0.502206 | − | 0.864748i | \(-0.667478\pi\) |
0.324658 | + | 0.945832i | \(0.394751\pi\) | |||||||
\(858\) | 0.348665 | + | 0.139584i | 0.000406369 | + | 0.000162686i | ||||
\(859\) | 311.017 | − | 244.587i | 0.362069 | − | 0.284734i | −0.420507 | − | 0.907289i | \(-0.638148\pi\) |
0.782576 | + | 0.622555i | \(0.213905\pi\) | |||||||
\(860\) | −1079.52 | − | 208.060i | −1.25525 | − | 0.241930i | ||||
\(861\) | 13.6970 | + | 3.32287i | 0.0159083 | + | 0.00385931i | ||||
\(862\) | 218.936 | − | 340.671i | 0.253986 | − | 0.395210i | ||||
\(863\) | −129.929 | + | 903.673i | −0.150555 | + | 1.04713i | 0.764738 | + | 0.644341i | \(0.222868\pi\) |
−0.915293 | + | 0.402789i | \(0.868041\pi\) | |||||||
\(864\) | 11.3091 | − | 237.408i | 0.0130893 | − | 0.274778i | ||||
\(865\) | 135.666 | + | 703.900i | 0.156839 | + | 0.813757i | ||||
\(866\) | 23.8957 | − | 27.5771i | 0.0275931 | − | 0.0318442i | ||||
\(867\) | 142.086 | + | 101.179i | 0.163883 | + | 0.116700i | ||||
\(868\) | −126.213 | − | 37.0596i | −0.145407 | − | 0.0426954i | ||||
\(869\) | 0.956273 | − | 0.492993i | 0.00110043 | − | 0.000567311i | ||||
\(870\) | 498.575i | 0.573075i | ||||||||
\(871\) | 345.329 | + | 59.0313i | 0.396474 | + | 0.0677742i | ||||
\(872\) | 321.471 | 0.368660 | ||||||||
\(873\) | −43.0602 | − | 83.5252i | −0.0493244 | − | 0.0956760i | ||||
\(874\) | −559.080 | + | 1904.05i | −0.639679 | + | 2.17855i | ||||
\(875\) | −54.4836 | + | 76.5115i | −0.0622670 | + | 0.0874418i | ||||
\(876\) | 730.468 | + | 632.954i | 0.833867 | + | 0.722550i | ||||
\(877\) | −433.310 | + | 83.5136i | −0.494082 | + | 0.0952264i | −0.430205 | − | 0.902731i | \(-0.641559\pi\) |
−0.0638769 | + | 0.997958i | \(0.520346\pi\) | |||||||
\(878\) | −2480.05 | − | 118.139i | −2.82466 | − | 0.134555i | ||||
\(879\) | −294.091 | − | 42.2840i | −0.334575 | − | 0.0481046i | ||||
\(880\) | −0.881022 | − | 0.566198i | −0.00100116 | − | 0.000643407i | ||||
\(881\) | 398.857 | − | 1644.11i | 0.452732 | − | 1.86619i | −0.0452130 | − | 0.998977i | \(-0.514397\pi\) |
0.497945 | − | 0.867209i | \(-0.334088\pi\) | |||||||
\(882\) | 80.2954 | − | 416.612i | 0.0910378 | − | 0.472349i | ||||
\(883\) | −67.8176 | − | 86.2371i | −0.0768036 | − | 0.0976637i | 0.746133 | − | 0.665797i | \(-0.231908\pi\) |
−0.822937 | + | 0.568133i | \(0.807666\pi\) | |||||||
\(884\) | 125.458 | − | 313.378i | 0.141920 | − | 0.354500i | ||||
\(885\) | 142.986 | + | 313.095i | 0.161566 | + | 0.353779i | ||||
\(886\) | −1932.75 | + | 1242.10i | −2.18143 | + | 1.40192i | ||||
\(887\) | 389.997 | + | 1126.82i | 0.439681 | + | 1.27038i | 0.919528 | + | 0.393023i | \(0.128571\pi\) |
−0.479847 | + | 0.877352i | \(0.659308\pi\) | |||||||
\(888\) | 17.4242 | + | 24.4689i | 0.0196219 | + | 0.0275551i | ||||
\(889\) | 9.99326 | − | 104.654i | 0.0112410 | − | 0.117721i | ||||
\(890\) | −110.044 | − | 2310.12i | −0.123645 | − | 2.59564i | ||||
\(891\) | 0.122932 | − | 0.0298230i | 0.000137971 | − | 3.34714e-5i | ||||
\(892\) | −469.724 | + | 1357.18i | −0.526597 | + | 1.52150i | ||||
\(893\) | −1301.14 | + | 382.048i | −1.45704 | + | 0.427825i | ||||
\(894\) | −766.136 | + | 730.509i | −0.856975 | + | 0.817124i | ||||
\(895\) | 512.647 | − | 1122.54i | 0.572790 | − | 1.25424i | ||||
\(896\) | 9.61563 | + | 66.8782i | 0.0107317 | + | 0.0746408i | ||||
\(897\) | 188.205 | − | 17.9714i | 0.209816 | − | 0.0200350i | ||||
\(898\) | 947.032 | − | 820.608i | 1.05460 | − | 0.913818i | ||||
\(899\) | 278.259 | − | 353.836i | 0.309521 | − | 0.393588i | ||||
\(900\) | 67.0471 | + | 116.129i | 0.0744968 | + | 0.129032i | ||||
\(901\) | −531.499 | − | 306.861i | −0.589899 | − | 0.340579i | ||||
\(902\) | 0.121555 | + | 0.303629i | 0.000134761 | + | 0.000336617i | ||||
\(903\) | 49.0625 | − | 51.4553i | 0.0543328 | − | 0.0569826i | ||||
\(904\) | −155.889 | − | 80.3662i | −0.172443 | − | 0.0889006i | ||||
\(905\) | 628.435 | − | 1218.99i | 0.694403 | − | 1.34695i | ||||
\(906\) | 592.170 | + | 564.633i | 0.653609 | + | 0.623215i | ||||
\(907\) | −62.4194 | + | 24.9889i | −0.0688196 | + | 0.0275512i | −0.405817 | − | 0.913954i | \(-0.633013\pi\) |
0.336997 | + | 0.941506i | \(0.390589\pi\) | |||||||
\(908\) | 145.908 | − | 252.721i | 0.160692 | − | 0.278327i | ||||
\(909\) | −171.722 | + | 99.1440i | −0.188914 | + | 0.109069i | ||||
\(910\) | −73.4903 | − | 57.7934i | −0.0807585 | − | 0.0635092i | ||||
\(911\) | −1057.09 | − | 1219.94i | −1.16036 | − | 1.33912i | −0.930670 | − | 0.365860i | \(-0.880775\pi\) |
−0.229688 | − | 0.973264i | \(-0.573770\pi\) | |||||||
\(912\) | −67.2943 | − | 704.738i | −0.0737876 | − | 0.772739i | ||||
\(913\) | −0.267846 | + | 0.0385105i | −0.000293369 | + | 4.21802e-5i | ||||
\(914\) | 2133.37 | + | 974.278i | 2.33410 | + | 1.06595i | ||||
\(915\) | 38.5051 | + | 40.3830i | 0.0420821 | + | 0.0441345i | ||||
\(916\) | 125.113 | + | 426.096i | 0.136586 | + | 0.465170i | ||||
\(917\) | 113.828 | + | 39.3963i | 0.124131 | + | 0.0429621i | ||||
\(918\) | −49.5953 | − | 204.435i | −0.0540254 | − | 0.222696i | ||||
\(919\) | 593.623 | − | 28.2777i | 0.645944 | − | 0.0307701i | 0.277946 | − | 0.960597i | \(-0.410346\pi\) |
0.367998 | + | 0.929827i | \(0.380043\pi\) | |||||||
\(920\) | 253.726 | + | 24.2279i | 0.275789 | + | 0.0263346i | ||||
\(921\) | 543.682 | − | 387.154i | 0.590317 | − | 0.420363i | ||||
\(922\) | −1073.64 | + | 371.589i | −1.16447 | + | 0.403025i | ||||
\(923\) | −140.219 | − | 218.185i | −0.151917 | − | 0.236387i | ||||
\(924\) | −0.107489 | + | 0.0490884i | −0.000116330 | + | 5.31260e-5i | ||||
\(925\) | 73.5904 | + | 29.4611i | 0.0795572 | + | 0.0318499i | ||||
\(926\) | 1643.54 | − | 1292.49i | 1.77488 | − | 1.39578i | ||||
\(927\) | −166.570 | − | 32.1038i | −0.179687 | − | 0.0346319i | ||||
\(928\) | −738.361 | − | 179.125i | −0.795648 | − | 0.193022i | ||||
\(929\) | 859.470 | − | 1337.36i | 0.925156 | − | 1.43957i | 0.0271278 | − | 0.999632i | \(-0.491364\pi\) |
0.898028 | − | 0.439938i | \(-0.145000\pi\) | |||||||
\(930\) | 115.763 | − | 805.147i | 0.124476 | − | 0.865750i | ||||
\(931\) | 73.4910 | − | 1542.77i | 0.0789377 | − | 1.65711i | ||||
\(932\) | −274.570 | − | 1424.61i | −0.294603 | − | 1.52855i | ||||
\(933\) | −642.218 | + | 741.159i | −0.688337 | + | 0.794383i | ||||
\(934\) | −934.203 | − | 665.243i | −1.00022 | − | 0.712251i | ||||
\(935\) | −1.08697 | − | 0.319162i | −0.00116253 | − | 0.000341350i | ||||
\(936\) | 28.9832 | − | 14.9419i | 0.0309650 | − | 0.0159636i | ||||
\(937\) | 1428.16i | 1.52418i | 0.647472 | + | 0.762089i | \(0.275826\pi\) | ||||
−0.647472 | + | 0.762089i | \(0.724174\pi\) | |||||||
\(938\) | −163.601 | + | 121.781i | −0.174414 | + | 0.129830i | ||||
\(939\) | 213.043 | 0.226883 | ||||||||
\(940\) | 532.919 | + | 1033.72i | 0.566935 | + | 1.09970i | ||||
\(941\) | 132.281 | − | 450.507i | 0.140575 | − | 0.478754i | −0.858866 | − | 0.512201i | \(-0.828830\pi\) |
0.999440 | + | 0.0334471i | \(0.0106485\pi\) | |||||||
\(942\) | 556.198 | − | 781.070i | 0.590443 | − | 0.829162i | ||||
\(943\) | 124.427 | + | 107.817i | 0.131948 | + | 0.114334i | ||||
\(944\) | −421.421 | + | 81.2223i | −0.446421 | + | 0.0860405i | ||||
\(945\) | −31.4544 | − | 1.49836i | −0.0332851 | − | 0.00158556i | ||||
\(946\) | 1.63300 | + | 0.234790i | 0.00172621 | + | 0.000248192i | ||||
\(947\) | 86.8148 | + | 55.7925i | 0.0916735 | + | 0.0589150i | 0.585674 | − | 0.810546i | \(-0.300830\pi\) |
−0.494001 | + | 0.869461i | \(0.664466\pi\) | |||||||
\(948\) | 147.051 | − | 606.151i | 0.155117 | − | 0.639400i | ||||
\(949\) | 117.380 | − | 609.026i | 0.123688 | − | 0.641756i | ||||
\(950\) | 558.314 | + | 709.954i | 0.587699 | + | 0.747320i | ||||
\(951\) | 363.264 | − | 907.389i | 0.381981 | − | 0.954142i | ||||
\(952\) | 12.2255 | + | 26.7701i | 0.0128419 | + | 0.0281198i | ||||
\(953\) | 1248.86 | − | 802.596i | 1.31046 | − | 0.842179i | 0.316147 | − | 0.948710i | \(-0.397611\pi\) |
0.994309 | + | 0.106531i | \(0.0339745\pi\) | |||||||
\(954\) | −129.476 | − | 374.095i | −0.135719 | − | 0.392133i | ||||
\(955\) | 548.220 | + | 769.868i | 0.574053 | + | 0.806144i | ||||
\(956\) | −138.726 | + | 1452.80i | −0.145111 | + | 1.51967i | ||||
\(957\) | −0.0192409 | − | 0.403916i | −2.01054e−5 | − | 0.000422064i | ||||
\(958\) | 451.856 | − | 109.619i | 0.471666 | − | 0.114425i | ||||
\(959\) | −24.5987 | + | 71.0733i | −0.0256504 | + | 0.0741119i | ||||
\(960\) | −822.025 | + | 241.368i | −0.856276 | + | 0.251425i | ||||
\(961\) | 163.993 | − | 156.367i | 0.170648 | − | 0.162712i | ||||
\(962\) | 53.4687 | − | 117.080i | 0.0555808 | − | 0.121705i | ||||
\(963\) | 10.6167 | + | 73.8407i | 0.0110246 | + | 0.0766777i | ||||
\(964\) | −772.715 | + | 73.7854i | −0.801572 | + | 0.0765408i | ||||
\(965\) | 1074.35 | − | 930.929i | 1.11332 | − | 0.964694i | ||||
\(966\) | −68.0359 | + | 86.5147i | −0.0704306 | + | 0.0895597i | ||||
\(967\) | 515.914 | + | 893.589i | 0.533520 | + | 0.924084i | 0.999233 | + | 0.0391482i | \(0.0124644\pi\) |
−0.465713 | + | 0.884936i | \(0.654202\pi\) | |||||||
\(968\) | 217.824 | + | 125.761i | 0.225025 | + | 0.129918i | ||||
\(969\) | −284.617 | − | 710.940i | −0.293723 | − | 0.733684i | ||||
\(970\) | −374.596 | + | 392.865i | −0.386181 | + | 0.405015i | ||||
\(971\) | 1079.22 | + | 556.377i | 1.11145 | + | 0.572994i | 0.913345 | − | 0.407186i | \(-0.133490\pi\) |
0.198108 | + | 0.980180i | \(0.436520\pi\) | |||||||
\(972\) | 33.6049 | − | 65.1844i | 0.0345729 | − | 0.0670621i | ||||
\(973\) | −164.657 | − | 157.000i | −0.169226 | − | 0.161357i | ||||
\(974\) | 776.758 | − | 310.967i | 0.797493 | − | 0.319268i | ||||
\(975\) | 43.0242 | − | 74.5201i | 0.0441274 | − | 0.0764309i | ||||
\(976\) | −60.2527 | + | 34.7869i | −0.0617343 | + | 0.0356423i | ||||
\(977\) | 1193.17 | + | 938.321i | 1.22126 | + | 0.960411i | 0.999891 | − | 0.0147791i | \(-0.00470450\pi\) |
0.221371 | + | 0.975190i | \(0.428947\pi\) | |||||||
\(978\) | −837.501 | − | 966.528i | −0.856340 | − | 0.988270i | ||||
\(979\) | 0.178303 | + | 1.86727i | 0.000182127 | + | 0.00190732i | ||||
\(980\) | −1311.14 | + | 188.513i | −1.33790 | + | 0.192361i | ||||
\(981\) | −422.025 | − | 192.732i | −0.430198 | − | 0.196465i | ||||
\(982\) | 578.385 | + | 606.593i | 0.588987 | + | 0.617712i | ||||
\(983\) | 368.096 | + | 1253.62i | 0.374462 | + | 1.27530i | 0.904190 | + | 0.427132i | \(0.140476\pi\) |
−0.529728 | + | 0.848168i | \(0.677706\pi\) | |||||||
\(984\) | 26.8344 | + | 9.28749i | 0.0272708 | + | 0.00943850i | ||||
\(985\) | −224.302 | − | 924.585i | −0.227718 | − | 0.938665i | ||||
\(986\) | −671.706 | + | 31.9973i | −0.681243 | + | 0.0324516i | ||||
\(987\) | −74.8706 | − | 7.14928i | −0.0758567 | − | 0.00724344i | ||||
\(988\) | 645.652 | − | 459.767i | 0.653494 | − | 0.465351i | ||||
\(989\) | 784.828 | − | 271.632i | 0.793557 | − | 0.274653i | ||||
\(990\) | −0.395058 | − | 0.614722i | −0.000399048 | − | 0.000620931i | ||||
\(991\) | −429.227 | + | 196.021i | −0.433125 | + | 0.197802i | −0.620033 | − | 0.784576i | \(-0.712881\pi\) |
0.186908 | + | 0.982377i | \(0.440153\pi\) | |||||||
\(992\) | 1150.79 | + | 460.705i | 1.16007 | + | 0.464421i | ||||
\(993\) | 522.701 | − | 411.056i | 0.526385 | − | 0.413954i | ||||
\(994\) | 148.257 | + | 28.5742i | 0.149152 | + | 0.0287466i | ||||
\(995\) | 1084.49 | + | 263.095i | 1.08994 | + | 0.264417i | ||||
\(996\) | −84.8156 | + | 131.976i | −0.0851563 | + | 0.132506i | ||||
\(997\) | −87.3189 | + | 607.316i | −0.0875817 | + | 0.609144i | 0.898007 | + | 0.439982i | \(0.145015\pi\) |
−0.985588 | + | 0.169162i | \(0.945894\pi\) | |||||||
\(998\) | 17.7592 | − | 372.812i | 0.0177948 | − | 0.373559i | ||||
\(999\) | −8.20450 | − | 42.5690i | −0.00821271 | − | 0.0426116i |
(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 | 201.3.n.b.7.2 | ✓ | 240 | |
67.48 | odd | 66 | inner | 201.3.n.b.115.2 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.n.b.7.2 | ✓ | 240 | 1.1 | even | 1 | trivial | |
201.3.n.b.115.2 | yes | 240 | 67.48 | odd | 66 | inner |