Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,3,Mod(191,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.191");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.b (of order \(2\), degree \(1\), 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: | \(10.3542500457\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 191.19 | ||
Character | \(\chi\) | \(=\) | 380.191 |
Dual form | 380.3.b.a.191.20 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30085 | − | 1.51914i | −0.650424 | − | 0.759571i | ||||
\(3\) | 4.10739i | 1.36913i | 0.728952 | + | 0.684564i | \(0.240008\pi\) | ||||
−0.728952 | + | 0.684564i | \(0.759992\pi\) | |||||||
\(4\) | −0.615584 | + | 3.95235i | −0.153896 | + | 0.988087i | ||||
\(5\) | −2.23607 | −0.447214 | ||||||||
\(6\) | 6.23970 | − | 5.34309i | 1.03995 | − | 0.890515i | ||||
\(7\) | 8.55175i | 1.22168i | 0.791754 | + | 0.610840i | \(0.209168\pi\) | ||||
−0.791754 | + | 0.610840i | \(0.790832\pi\) | |||||||
\(8\) | 6.80496 | − | 4.20625i | 0.850620 | − | 0.525781i | ||||
\(9\) | −7.87063 | −0.874514 | ||||||||
\(10\) | 2.90879 | + | 3.39690i | 0.290879 | + | 0.339690i | ||||
\(11\) | 17.2986i | 1.57260i | 0.617842 | + | 0.786302i | \(0.288007\pi\) | ||||
−0.617842 | + | 0.786302i | \(0.711993\pi\) | |||||||
\(12\) | −16.2338 | − | 2.52844i | −1.35282 | − | 0.210703i | ||||
\(13\) | −15.8301 | −1.21770 | −0.608849 | − | 0.793286i | \(-0.708368\pi\) | ||||
−0.608849 | + | 0.793286i | \(0.708368\pi\) | |||||||
\(14\) | 12.9913 | − | 11.1245i | 0.927952 | − | 0.794610i | ||||
\(15\) | − | 9.18440i | − | 0.612293i | ||||||
\(16\) | −15.2421 | − | 4.86600i | −0.952632 | − | 0.304125i | ||||
\(17\) | 32.2290 | 1.89582 | 0.947912 | − | 0.318532i | \(-0.103190\pi\) | ||||
0.947912 | + | 0.318532i | \(0.103190\pi\) | |||||||
\(18\) | 10.2385 | + | 11.9566i | 0.568805 | + | 0.664255i | ||||
\(19\) | − | 4.35890i | − | 0.229416i | ||||||
\(20\) | 1.37649 | − | 8.83772i | 0.0688244 | − | 0.441886i | ||||
\(21\) | −35.1254 | −1.67264 | ||||||||
\(22\) | 26.2791 | − | 22.5029i | 1.19450 | − | 1.02286i | ||||
\(23\) | − | 9.79902i | − | 0.426044i | −0.977047 | − | 0.213022i | \(-0.931669\pi\) | ||
0.977047 | − | 0.213022i | \(-0.0683306\pi\) | |||||||
\(24\) | 17.2767 | + | 27.9506i | 0.719862 | + | 1.16461i | ||||
\(25\) | 5.00000 | 0.200000 | ||||||||
\(26\) | 20.5925 | + | 24.0481i | 0.792020 | + | 0.924927i | ||||
\(27\) | 4.63878i | 0.171807i | ||||||||
\(28\) | −33.7995 | − | 5.26432i | −1.20713 | − | 0.188011i | ||||
\(29\) | −31.9344 | −1.10119 | −0.550594 | − | 0.834773i | \(-0.685599\pi\) | ||||
−0.550594 | + | 0.834773i | \(0.685599\pi\) | |||||||
\(30\) | −13.9524 | + | 11.9475i | −0.465080 | + | 0.398250i | ||||
\(31\) | − | 34.5468i | − | 1.11441i | −0.830374 | − | 0.557206i | \(-0.811873\pi\) | ||
0.830374 | − | 0.557206i | \(-0.188127\pi\) | |||||||
\(32\) | 12.4355 | + | 29.4849i | 0.388611 | + | 0.921402i | ||||
\(33\) | −71.0522 | −2.15310 | ||||||||
\(34\) | −41.9251 | − | 48.9604i | −1.23309 | − | 1.44001i | ||||
\(35\) | − | 19.1223i | − | 0.546351i | ||||||
\(36\) | 4.84503 | − | 31.1075i | 0.134584 | − | 0.864096i | ||||
\(37\) | 7.02156 | 0.189772 | 0.0948859 | − | 0.995488i | \(-0.469751\pi\) | ||||
0.0948859 | + | 0.995488i | \(0.469751\pi\) | |||||||
\(38\) | −6.62179 | + | 5.67027i | −0.174258 | + | 0.149218i | ||||
\(39\) | − | 65.0202i | − | 1.66718i | ||||||
\(40\) | −15.2164 | + | 9.40546i | −0.380409 | + | 0.235136i | ||||
\(41\) | −58.5883 | −1.42898 | −0.714491 | − | 0.699645i | \(-0.753342\pi\) | ||||
−0.714491 | + | 0.699645i | \(0.753342\pi\) | |||||||
\(42\) | 45.6928 | + | 53.3604i | 1.08792 | + | 1.27049i | ||||
\(43\) | − | 9.58498i | − | 0.222906i | −0.993770 | − | 0.111453i | \(-0.964449\pi\) | ||
0.993770 | − | 0.111453i | \(-0.0355505\pi\) | |||||||
\(44\) | −68.3703 | − | 10.6488i | −1.55387 | − | 0.242017i | ||||
\(45\) | 17.5993 | 0.391095 | ||||||||
\(46\) | −14.8861 | + | 12.7470i | −0.323611 | + | 0.277110i | ||||
\(47\) | 4.12010i | 0.0876618i | 0.999039 | + | 0.0438309i | \(0.0139563\pi\) | ||||
−0.999039 | + | 0.0438309i | \(0.986044\pi\) | |||||||
\(48\) | 19.9866 | − | 62.6053i | 0.416387 | − | 1.30428i | ||||
\(49\) | −24.1325 | −0.492500 | ||||||||
\(50\) | −6.50424 | − | 7.59571i | −0.130085 | − | 0.151914i | ||||
\(51\) | 132.377i | 2.59563i | ||||||||
\(52\) | 9.74473 | − | 62.5659i | 0.187399 | − | 1.20319i | ||||
\(53\) | −47.2057 | −0.890674 | −0.445337 | − | 0.895363i | \(-0.646916\pi\) | ||||
−0.445337 | + | 0.895363i | \(0.646916\pi\) | |||||||
\(54\) | 7.04696 | − | 6.03435i | 0.130499 | − | 0.111747i | ||||
\(55\) | − | 38.6809i | − | 0.703290i | ||||||
\(56\) | 35.9708 | + | 58.1943i | 0.642336 | + | 1.03918i | ||||
\(57\) | 17.9037 | 0.314100 | ||||||||
\(58\) | 41.5419 | + | 48.5130i | 0.716240 | + | 0.836430i | ||||
\(59\) | 10.7555i | 0.182297i | 0.995837 | + | 0.0911484i | \(0.0290538\pi\) | ||||
−0.995837 | + | 0.0911484i | \(0.970946\pi\) | |||||||
\(60\) | 36.2999 | + | 5.65377i | 0.604999 | + | 0.0942294i | ||||
\(61\) | −28.6033 | −0.468907 | −0.234453 | − | 0.972127i | \(-0.575330\pi\) | ||||
−0.234453 | + | 0.972127i | \(0.575330\pi\) | |||||||
\(62\) | −52.4814 | + | 44.9401i | −0.846475 | + | 0.724841i | ||||
\(63\) | − | 67.3077i | − | 1.06838i | ||||||
\(64\) | 28.6149 | − | 57.2467i | 0.447108 | − | 0.894480i | ||||
\(65\) | 35.3971 | 0.544571 | ||||||||
\(66\) | 92.4282 | + | 107.938i | 1.40043 | + | 1.63543i | ||||
\(67\) | − | 63.0364i | − | 0.940841i | −0.882442 | − | 0.470421i | \(-0.844102\pi\) | ||
0.882442 | − | 0.470421i | \(-0.155898\pi\) | |||||||
\(68\) | −19.8397 | + | 127.380i | −0.291760 | + | 1.87324i | ||||
\(69\) | 40.2484 | 0.583309 | ||||||||
\(70\) | −29.0495 | + | 24.8752i | −0.414993 | + | 0.355360i | ||||
\(71\) | 104.831i | 1.47649i | 0.674533 | + | 0.738244i | \(0.264345\pi\) | ||||
−0.674533 | + | 0.738244i | \(0.735655\pi\) | |||||||
\(72\) | −53.5593 | + | 33.1058i | −0.743879 | + | 0.459803i | ||||
\(73\) | 132.285 | 1.81213 | 0.906064 | − | 0.423141i | \(-0.139072\pi\) | ||||
0.906064 | + | 0.423141i | \(0.139072\pi\) | |||||||
\(74\) | −9.13399 | − | 10.6667i | −0.123432 | − | 0.144145i | ||||
\(75\) | 20.5369i | 0.273826i | ||||||||
\(76\) | 17.2279 | + | 2.68327i | 0.226683 | + | 0.0353062i | ||||
\(77\) | −147.934 | −1.92122 | ||||||||
\(78\) | −98.7749 | + | 84.5815i | −1.26634 | + | 1.08438i | ||||
\(79\) | 74.1167i | 0.938185i | 0.883149 | + | 0.469093i | \(0.155419\pi\) | ||||
−0.883149 | + | 0.469093i | \(0.844581\pi\) | |||||||
\(80\) | 34.0824 | + | 10.8807i | 0.426030 | + | 0.136009i | ||||
\(81\) | −89.8889 | −1.10974 | ||||||||
\(82\) | 76.2145 | + | 89.0039i | 0.929445 | + | 1.08541i | ||||
\(83\) | − | 51.1044i | − | 0.615715i | −0.951432 | − | 0.307858i | \(-0.900388\pi\) | ||
0.951432 | − | 0.307858i | \(-0.0996121\pi\) | |||||||
\(84\) | 21.6226 | − | 138.828i | 0.257412 | − | 1.65271i | ||||
\(85\) | −72.0663 | −0.847838 | ||||||||
\(86\) | −14.5609 | + | 12.4686i | −0.169313 | + | 0.144984i | ||||
\(87\) | − | 131.167i | − | 1.50767i | ||||||
\(88\) | 72.7624 | + | 117.717i | 0.826845 | + | 1.33769i | ||||
\(89\) | −71.7165 | −0.805803 | −0.402901 | − | 0.915243i | \(-0.631998\pi\) | ||||
−0.402901 | + | 0.915243i | \(0.631998\pi\) | |||||||
\(90\) | −22.8940 | − | 26.7358i | −0.254377 | − | 0.297064i | ||||
\(91\) | − | 135.375i | − | 1.48764i | ||||||
\(92\) | 38.7291 | + | 6.03212i | 0.420969 | + | 0.0655665i | ||||
\(93\) | 141.897 | 1.52577 | ||||||||
\(94\) | 6.25902 | − | 5.35963i | 0.0665854 | − | 0.0570174i | ||||
\(95\) | 9.74679i | 0.102598i | ||||||||
\(96\) | −121.106 | + | 51.0776i | −1.26152 | + | 0.532058i | ||||
\(97\) | 130.713 | 1.34756 | 0.673780 | − | 0.738932i | \(-0.264670\pi\) | ||||
0.673780 | + | 0.738932i | \(0.264670\pi\) | |||||||
\(98\) | 31.3927 | + | 36.6607i | 0.320334 | + | 0.374089i | ||||
\(99\) | − | 136.151i | − | 1.37526i | ||||||
\(100\) | −3.07792 | + | 19.7617i | −0.0307792 | + | 0.197617i | ||||
\(101\) | 85.2316 | 0.843877 | 0.421939 | − | 0.906624i | \(-0.361350\pi\) | ||||
0.421939 | + | 0.906624i | \(0.361350\pi\) | |||||||
\(102\) | 201.099 | − | 172.203i | 1.97156 | − | 1.68826i | ||||
\(103\) | 112.339i | 1.09067i | 0.838219 | + | 0.545335i | \(0.183597\pi\) | ||||
−0.838219 | + | 0.545335i | \(0.816403\pi\) | |||||||
\(104\) | −107.723 | + | 66.5852i | −1.03580 | + | 0.640242i | ||||
\(105\) | 78.5427 | 0.748026 | ||||||||
\(106\) | 61.4075 | + | 71.7122i | 0.579316 | + | 0.676530i | ||||
\(107\) | − | 58.5087i | − | 0.546811i | −0.961899 | − | 0.273405i | \(-0.911850\pi\) | ||
0.961899 | − | 0.273405i | \(-0.0881500\pi\) | |||||||
\(108\) | −18.3341 | − | 2.85556i | −0.169760 | − | 0.0264403i | ||||
\(109\) | −79.1388 | −0.726044 | −0.363022 | − | 0.931781i | \(-0.618255\pi\) | ||||
−0.363022 | + | 0.931781i | \(0.618255\pi\) | |||||||
\(110\) | −58.7618 | + | 50.3181i | −0.534198 | + | 0.457437i | ||||
\(111\) | 28.8403i | 0.259822i | ||||||||
\(112\) | 41.6129 | − | 130.347i | 0.371543 | − | 1.16381i | ||||
\(113\) | 68.4029 | 0.605335 | 0.302668 | − | 0.953096i | \(-0.402123\pi\) | ||||
0.302668 | + | 0.953096i | \(0.402123\pi\) | |||||||
\(114\) | −23.2900 | − | 27.1982i | −0.204298 | − | 0.238581i | ||||
\(115\) | 21.9113i | 0.190533i | ||||||||
\(116\) | 19.6583 | − | 126.216i | 0.169468 | − | 1.08807i | ||||
\(117\) | 124.593 | 1.06489 | ||||||||
\(118\) | 16.3392 | − | 13.9913i | 0.138467 | − | 0.118570i | ||||
\(119\) | 275.615i | 2.31609i | ||||||||
\(120\) | −38.6319 | − | 62.4994i | −0.321932 | − | 0.520829i | ||||
\(121\) | −178.243 | −1.47308 | ||||||||
\(122\) | 37.2086 | + | 43.4525i | 0.304988 | + | 0.356168i | ||||
\(123\) | − | 240.645i | − | 1.95646i | ||||||
\(124\) | 136.541 | + | 21.2664i | 1.10114 | + | 0.171503i | ||||
\(125\) | −11.1803 | −0.0894427 | ||||||||
\(126\) | −102.250 | + | 87.5571i | −0.811507 | + | 0.694898i | ||||
\(127\) | − | 135.567i | − | 1.06746i | −0.845656 | − | 0.533728i | \(-0.820790\pi\) | ||
0.845656 | − | 0.533728i | \(-0.179210\pi\) | |||||||
\(128\) | −124.190 | + | 30.9992i | −0.970231 | + | 0.242181i | ||||
\(129\) | 39.3692 | 0.305188 | ||||||||
\(130\) | −46.0463 | − | 53.7732i | −0.354202 | − | 0.413640i | ||||
\(131\) | 177.469i | 1.35472i | 0.735651 | + | 0.677361i | \(0.236876\pi\) | ||||
−0.735651 | + | 0.677361i | \(0.763124\pi\) | |||||||
\(132\) | 43.7386 | − | 280.823i | 0.331353 | − | 2.12745i | ||||
\(133\) | 37.2762 | 0.280272 | ||||||||
\(134\) | −95.7612 | + | 82.0008i | −0.714636 | + | 0.611946i | ||||
\(135\) | − | 10.3726i | − | 0.0768342i | ||||||
\(136\) | 219.317 | − | 135.563i | 1.61263 | − | 0.996789i | ||||
\(137\) | 192.634 | 1.40609 | 0.703044 | − | 0.711147i | \(-0.251824\pi\) | ||||
0.703044 | + | 0.711147i | \(0.251824\pi\) | |||||||
\(138\) | −52.3570 | − | 61.1430i | −0.379399 | − | 0.443065i | ||||
\(139\) | − | 96.5468i | − | 0.694581i | −0.937758 | − | 0.347291i | \(-0.887102\pi\) | ||
0.937758 | − | 0.347291i | \(-0.112898\pi\) | |||||||
\(140\) | 75.5780 | + | 11.7714i | 0.539843 | + | 0.0840813i | ||||
\(141\) | −16.9229 | −0.120020 | ||||||||
\(142\) | 159.253 | − | 136.369i | 1.12150 | − | 0.960344i | ||||
\(143\) | − | 273.839i | − | 1.91496i | ||||||
\(144\) | 119.965 | + | 38.2985i | 0.833090 | + | 0.265962i | ||||
\(145\) | 71.4076 | 0.492466 | ||||||||
\(146\) | −172.083 | − | 200.960i | −1.17865 | − | 1.37644i | ||||
\(147\) | − | 99.1215i | − | 0.674296i | ||||||
\(148\) | −4.32236 | + | 27.7516i | −0.0292051 | + | 0.187511i | ||||
\(149\) | 126.703 | 0.850355 | 0.425177 | − | 0.905110i | \(-0.360212\pi\) | ||||
0.425177 | + | 0.905110i | \(0.360212\pi\) | |||||||
\(150\) | 31.1985 | − | 26.7154i | 0.207990 | − | 0.178103i | ||||
\(151\) | − | 208.179i | − | 1.37867i | −0.724444 | − | 0.689334i | \(-0.757903\pi\) | ||
0.724444 | − | 0.689334i | \(-0.242097\pi\) | |||||||
\(152\) | −18.3346 | − | 29.6621i | −0.120622 | − | 0.195146i | ||||
\(153\) | −253.663 | −1.65793 | ||||||||
\(154\) | 192.439 | + | 224.732i | 1.24961 | + | 1.45930i | ||||
\(155\) | 77.2489i | 0.498380i | ||||||||
\(156\) | 256.982 | + | 40.0254i | 1.64732 | + | 0.256573i | ||||
\(157\) | −248.103 | −1.58027 | −0.790135 | − | 0.612932i | \(-0.789990\pi\) | ||||
−0.790135 | + | 0.612932i | \(0.789990\pi\) | |||||||
\(158\) | 112.594 | − | 96.4146i | 0.712618 | − | 0.610219i | ||||
\(159\) | − | 193.892i | − | 1.21945i | ||||||
\(160\) | −27.8067 | − | 65.9302i | −0.173792 | − | 0.412064i | ||||
\(161\) | 83.7988 | 0.520489 | ||||||||
\(162\) | 116.932 | + | 136.554i | 0.721802 | + | 0.842926i | ||||
\(163\) | 240.012i | 1.47247i | 0.676728 | + | 0.736233i | \(0.263397\pi\) | ||||
−0.676728 | + | 0.736233i | \(0.736603\pi\) | |||||||
\(164\) | 36.0660 | − | 231.561i | 0.219915 | − | 1.41196i | ||||
\(165\) | 158.878 | 0.962894 | ||||||||
\(166\) | −77.6348 | + | 66.4791i | −0.467680 | + | 0.400476i | ||||
\(167\) | 255.579i | 1.53041i | 0.643785 | + | 0.765207i | \(0.277363\pi\) | ||||
−0.643785 | + | 0.765207i | \(0.722637\pi\) | |||||||
\(168\) | −239.027 | + | 147.746i | −1.42278 | + | 0.879440i | ||||
\(169\) | 81.5910 | 0.482787 | ||||||||
\(170\) | 93.7473 | + | 109.479i | 0.551455 | + | 0.643993i | ||||
\(171\) | 34.3073i | 0.200627i | ||||||||
\(172\) | 37.8832 | + | 5.90036i | 0.220251 | + | 0.0343044i | ||||
\(173\) | −11.8248 | −0.0683514 | −0.0341757 | − | 0.999416i | \(-0.510881\pi\) | ||||
−0.0341757 | + | 0.999416i | \(0.510881\pi\) | |||||||
\(174\) | −199.261 | + | 170.629i | −1.14518 | + | 0.980624i | ||||
\(175\) | 42.7588i | 0.244336i | ||||||||
\(176\) | 84.1753 | − | 263.668i | 0.478269 | − | 1.49811i | ||||
\(177\) | −44.1771 | −0.249588 | ||||||||
\(178\) | 93.2923 | + | 108.947i | 0.524114 | + | 0.612064i | ||||
\(179\) | 312.732i | 1.74711i | 0.486727 | + | 0.873554i | \(0.338191\pi\) | ||||
−0.486727 | + | 0.873554i | \(0.661809\pi\) | |||||||
\(180\) | −10.8338 | + | 69.5584i | −0.0601879 | + | 0.386435i | ||||
\(181\) | −35.0022 | −0.193382 | −0.0966911 | − | 0.995314i | \(-0.530826\pi\) | ||||
−0.0966911 | + | 0.995314i | \(0.530826\pi\) | |||||||
\(182\) | −205.654 | + | 176.102i | −1.12996 | + | 0.967594i | ||||
\(183\) | − | 117.485i | − | 0.641994i | ||||||
\(184\) | −41.2171 | − | 66.6819i | −0.224006 | − | 0.362402i | ||||
\(185\) | −15.7007 | −0.0848685 | ||||||||
\(186\) | −184.586 | − | 215.562i | −0.992400 | − | 1.15893i | ||||
\(187\) | 557.518i | 2.98138i | ||||||||
\(188\) | −16.2841 | − | 2.53627i | −0.0866175 | − | 0.0134908i | ||||
\(189\) | −39.6697 | −0.209892 | ||||||||
\(190\) | 14.8068 | − | 12.6791i | 0.0779303 | − | 0.0667321i | ||||
\(191\) | 94.0943i | 0.492641i | 0.969188 | + | 0.246320i | \(0.0792215\pi\) | ||||
−0.969188 | + | 0.246320i | \(0.920778\pi\) | |||||||
\(192\) | 235.134 | + | 117.533i | 1.22466 | + | 0.612149i | ||||
\(193\) | −187.124 | −0.969554 | −0.484777 | − | 0.874638i | \(-0.661099\pi\) | ||||
−0.484777 | + | 0.874638i | \(0.661099\pi\) | |||||||
\(194\) | −170.038 | − | 198.572i | −0.876485 | − | 1.02357i | ||||
\(195\) | 145.390i | 0.745588i | ||||||||
\(196\) | 14.8556 | − | 95.3800i | 0.0757937 | − | 0.486633i | ||||
\(197\) | 117.006 | 0.593938 | 0.296969 | − | 0.954887i | \(-0.404024\pi\) | ||||
0.296969 | + | 0.954887i | \(0.404024\pi\) | |||||||
\(198\) | −206.833 | + | 177.112i | −1.04461 | + | 0.894505i | ||||
\(199\) | 126.055i | 0.633440i | 0.948519 | + | 0.316720i | \(0.102582\pi\) | ||||
−0.948519 | + | 0.316720i | \(0.897418\pi\) | |||||||
\(200\) | 34.0248 | − | 21.0312i | 0.170124 | − | 0.105156i | ||||
\(201\) | 258.915 | 1.28813 | ||||||||
\(202\) | −110.873 | − | 129.479i | −0.548878 | − | 0.640985i | ||||
\(203\) | − | 273.096i | − | 1.34530i | ||||||
\(204\) | −523.200 | − | 81.4892i | −2.56471 | − | 0.399457i | ||||
\(205\) | 131.007 | 0.639060 | ||||||||
\(206\) | 170.659 | − | 146.136i | 0.828440 | − | 0.709398i | ||||
\(207\) | 77.1244i | 0.372582i | ||||||||
\(208\) | 241.284 | + | 77.0292i | 1.16002 | + | 0.370333i | ||||
\(209\) | 75.4030 | 0.360780 | ||||||||
\(210\) | −102.172 | − | 119.317i | −0.486534 | − | 0.568179i | ||||
\(211\) | 188.920i | 0.895356i | 0.894195 | + | 0.447678i | \(0.147749\pi\) | ||||
−0.894195 | + | 0.447678i | \(0.852251\pi\) | |||||||
\(212\) | 29.0591 | − | 186.573i | 0.137071 | − | 0.880064i | ||||
\(213\) | −430.580 | −2.02150 | ||||||||
\(214\) | −88.8831 | + | 76.1110i | −0.415341 | + | 0.355659i | ||||
\(215\) | 21.4327i | 0.0996868i | ||||||||
\(216\) | 19.5119 | + | 31.5667i | 0.0903326 | + | 0.146142i | ||||
\(217\) | 295.435 | 1.36145 | ||||||||
\(218\) | 102.948 | + | 120.223i | 0.472237 | + | 0.551482i | ||||
\(219\) | 543.347i | 2.48104i | ||||||||
\(220\) | 152.881 | + | 23.8114i | 0.694912 | + | 0.108233i | ||||
\(221\) | −510.187 | −2.30854 | ||||||||
\(222\) | 43.8124 | − | 37.5168i | 0.197353 | − | 0.168995i | ||||
\(223\) | 13.2572i | 0.0594492i | 0.999558 | + | 0.0297246i | \(0.00946303\pi\) | ||||
−0.999558 | + | 0.0297246i | \(0.990537\pi\) | |||||||
\(224\) | −252.147 | + | 106.346i | −1.12566 | + | 0.474757i | ||||
\(225\) | −39.3531 | −0.174903 | ||||||||
\(226\) | −88.9818 | − | 103.914i | −0.393725 | − | 0.459795i | ||||
\(227\) | 330.240i | 1.45480i | 0.686213 | + | 0.727400i | \(0.259272\pi\) | ||||
−0.686213 | + | 0.727400i | \(0.740728\pi\) | |||||||
\(228\) | −11.0212 | + | 70.7616i | −0.0483387 | + | 0.310358i | ||||
\(229\) | −154.700 | −0.675546 | −0.337773 | − | 0.941228i | \(-0.609674\pi\) | ||||
−0.337773 | + | 0.941228i | \(0.609674\pi\) | |||||||
\(230\) | 33.2863 | − | 28.5033i | 0.144723 | − | 0.123927i | ||||
\(231\) | − | 607.621i | − | 2.63039i | ||||||
\(232\) | −217.313 | + | 134.324i | −0.936692 | + | 0.578984i | ||||
\(233\) | −334.942 | −1.43752 | −0.718760 | − | 0.695258i | \(-0.755290\pi\) | ||||
−0.718760 | + | 0.695258i | \(0.755290\pi\) | |||||||
\(234\) | −162.076 | − | 189.274i | −0.692633 | − | 0.808862i | ||||
\(235\) | − | 9.21283i | − | 0.0392035i | ||||||
\(236\) | −42.5095 | − | 6.62092i | −0.180125 | − | 0.0280547i | ||||
\(237\) | −304.426 | −1.28450 | ||||||||
\(238\) | 418.698 | − | 358.533i | 1.75923 | − | 1.50644i | ||||
\(239\) | − | 5.12926i | − | 0.0214613i | −0.999942 | − | 0.0107307i | \(-0.996584\pi\) | ||
0.999942 | − | 0.0107307i | \(-0.00341575\pi\) | |||||||
\(240\) | −44.6913 | + | 139.990i | −0.186214 | + | 0.583290i | ||||
\(241\) | −92.3840 | −0.383336 | −0.191668 | − | 0.981460i | \(-0.561390\pi\) | ||||
−0.191668 | + | 0.981460i | \(0.561390\pi\) | |||||||
\(242\) | 231.867 | + | 270.776i | 0.958129 | + | 1.11891i | ||||
\(243\) | − | 327.459i | − | 1.34757i | ||||||
\(244\) | 17.6077 | − | 113.050i | 0.0721629 | − | 0.463321i | ||||
\(245\) | 53.9619 | 0.220253 | ||||||||
\(246\) | −365.573 | + | 313.042i | −1.48607 | + | 1.27253i | ||||
\(247\) | 69.0017i | 0.279359i | ||||||||
\(248\) | −145.312 | − | 235.089i | −0.585937 | − | 0.947941i | ||||
\(249\) | 209.905 | 0.842994 | ||||||||
\(250\) | 14.5439 | + | 16.9845i | 0.0581757 | + | 0.0679381i | ||||
\(251\) | − | 54.8825i | − | 0.218655i | −0.994006 | − | 0.109328i | \(-0.965130\pi\) | ||
0.994006 | − | 0.109328i | \(-0.0348698\pi\) | |||||||
\(252\) | 266.023 | + | 41.4335i | 1.05565 | + | 0.164419i | ||||
\(253\) | 169.510 | 0.669999 | ||||||||
\(254\) | −205.946 | + | 176.352i | −0.810809 | + | 0.694300i | ||||
\(255\) | − | 296.004i | − | 1.16080i | ||||||
\(256\) | 208.644 | + | 148.336i | 0.815016 | + | 0.579439i | ||||
\(257\) | 50.9563 | 0.198274 | 0.0991368 | − | 0.995074i | \(-0.468392\pi\) | ||||
0.0991368 | + | 0.995074i | \(0.468392\pi\) | |||||||
\(258\) | −51.2134 | − | 59.8074i | −0.198502 | − | 0.231812i | ||||
\(259\) | 60.0466i | 0.231840i | ||||||||
\(260\) | −21.7899 | + | 139.902i | −0.0838073 | + | 0.538083i | ||||
\(261\) | 251.344 | 0.963004 | ||||||||
\(262\) | 269.600 | − | 230.860i | 1.02901 | − | 0.881144i | ||||
\(263\) | 412.962i | 1.57020i | 0.619370 | + | 0.785099i | \(0.287388\pi\) | ||||
−0.619370 | + | 0.785099i | \(0.712612\pi\) | |||||||
\(264\) | −483.507 | + | 298.863i | −1.83147 | + | 1.13206i | ||||
\(265\) | 105.555 | 0.398322 | ||||||||
\(266\) | −48.4907 | − | 56.6279i | −0.182296 | − | 0.212887i | ||||
\(267\) | − | 294.567i | − | 1.10325i | ||||||
\(268\) | 249.142 | + | 38.8042i | 0.929633 | + | 0.144792i | ||||
\(269\) | 159.174 | 0.591726 | 0.295863 | − | 0.955230i | \(-0.404393\pi\) | ||||
0.295863 | + | 0.955230i | \(0.404393\pi\) | |||||||
\(270\) | −15.7575 | + | 13.4932i | −0.0583610 | + | 0.0499749i | ||||
\(271\) | − | 153.048i | − | 0.564752i | −0.959304 | − | 0.282376i | \(-0.908877\pi\) | ||
0.959304 | − | 0.282376i | \(-0.0911226\pi\) | |||||||
\(272\) | −491.238 | − | 156.827i | −1.80602 | − | 0.576568i | ||||
\(273\) | 556.037 | 2.03676 | ||||||||
\(274\) | −250.588 | − | 292.638i | −0.914554 | − | 1.06802i | ||||
\(275\) | 86.4932i | 0.314521i | ||||||||
\(276\) | −24.7762 | + | 159.076i | −0.0897690 | + | 0.576361i | ||||
\(277\) | 364.029 | 1.31418 | 0.657092 | − | 0.753810i | \(-0.271786\pi\) | ||||
0.657092 | + | 0.753810i | \(0.271786\pi\) | |||||||
\(278\) | −146.668 | + | 125.593i | −0.527584 | + | 0.451773i | ||||
\(279\) | 271.905i | 0.974569i | ||||||||
\(280\) | −80.4332 | − | 130.126i | −0.287261 | − | 0.464737i | ||||
\(281\) | −309.295 | −1.10070 | −0.550348 | − | 0.834936i | \(-0.685505\pi\) | ||||
−0.550348 | + | 0.834936i | \(0.685505\pi\) | |||||||
\(282\) | 22.0141 | + | 25.7082i | 0.0780641 | + | 0.0911639i | ||||
\(283\) | 85.2798i | 0.301342i | 0.988584 | + | 0.150671i | \(0.0481434\pi\) | ||||
−0.988584 | + | 0.150671i | \(0.951857\pi\) | |||||||
\(284\) | −414.327 | − | 64.5321i | −1.45890 | − | 0.227226i | ||||
\(285\) | −40.0339 | −0.140470 | ||||||||
\(286\) | −416.000 | + | 356.223i | −1.45454 | + | 1.24553i | ||||
\(287\) | − | 501.032i | − | 1.74576i | ||||||
\(288\) | −97.8755 | − | 232.064i | −0.339845 | − | 0.805779i | ||||
\(289\) | 749.710 | 2.59415 | ||||||||
\(290\) | −92.8905 | − | 108.478i | −0.320312 | − | 0.374063i | ||||
\(291\) | 536.890i | 1.84498i | ||||||||
\(292\) | −81.4327 | + | 522.838i | −0.278879 | + | 1.79054i | ||||
\(293\) | 105.393 | 0.359702 | 0.179851 | − | 0.983694i | \(-0.442438\pi\) | ||||
0.179851 | + | 0.983694i | \(0.442438\pi\) | |||||||
\(294\) | −150.580 | + | 128.942i | −0.512175 | + | 0.438578i | ||||
\(295\) | − | 24.0501i | − | 0.0815256i | ||||||
\(296\) | 47.7814 | − | 29.5344i | 0.161424 | − | 0.0997784i | ||||
\(297\) | −80.2445 | −0.270184 | ||||||||
\(298\) | −164.821 | − | 192.480i | −0.553091 | − | 0.645905i | ||||
\(299\) | 155.119i | 0.518793i | ||||||||
\(300\) | −81.1691 | − | 12.6422i | −0.270564 | − | 0.0421407i | ||||
\(301\) | 81.9684 | 0.272320 | ||||||||
\(302\) | −316.253 | + | 270.809i | −1.04720 | + | 0.896719i | ||||
\(303\) | 350.079i | 1.15538i | ||||||||
\(304\) | −21.2104 | + | 66.4388i | −0.0697711 | + | 0.218549i | ||||
\(305\) | 63.9590 | 0.209701 | ||||||||
\(306\) | 329.977 | + | 385.349i | 1.07836 | + | 1.25931i | ||||
\(307\) | − | 302.784i | − | 0.986266i | −0.869954 | − | 0.493133i | \(-0.835852\pi\) | ||
0.869954 | − | 0.493133i | \(-0.164148\pi\) | |||||||
\(308\) | 91.0656 | − | 584.686i | 0.295668 | − | 1.89833i | ||||
\(309\) | −461.419 | −1.49327 | ||||||||
\(310\) | 117.352 | − | 100.489i | 0.378555 | − | 0.324159i | ||||
\(311\) | − | 75.6298i | − | 0.243183i | −0.992580 | − | 0.121591i | \(-0.961200\pi\) | ||
0.992580 | − | 0.121591i | \(-0.0387997\pi\) | |||||||
\(312\) | −273.491 | − | 442.460i | −0.876574 | − | 1.41814i | ||||
\(313\) | −90.5396 | −0.289264 | −0.144632 | − | 0.989486i | \(-0.546200\pi\) | ||||
−0.144632 | + | 0.989486i | \(0.546200\pi\) | |||||||
\(314\) | 322.744 | + | 376.903i | 1.02785 | + | 1.20033i | ||||
\(315\) | 150.504i | 0.477792i | ||||||||
\(316\) | −292.935 | − | 45.6250i | −0.927009 | − | 0.144383i | ||||
\(317\) | 201.518 | 0.635705 | 0.317852 | − | 0.948140i | \(-0.397038\pi\) | ||||
0.317852 | + | 0.948140i | \(0.397038\pi\) | |||||||
\(318\) | −294.550 | + | 252.224i | −0.926257 | + | 0.793159i | ||||
\(319\) | − | 552.423i | − | 1.73173i | ||||||
\(320\) | −63.9850 | + | 128.008i | −0.199953 | + | 0.400024i | ||||
\(321\) | 240.318 | 0.748654 | ||||||||
\(322\) | −109.010 | − | 127.302i | −0.338539 | − | 0.395349i | ||||
\(323\) | − | 140.483i | − | 0.434932i | ||||||
\(324\) | 55.3342 | − | 355.272i | 0.170784 | − | 1.09652i | ||||
\(325\) | −79.1503 | −0.243539 | ||||||||
\(326\) | 364.612 | − | 312.219i | 1.11844 | − | 0.957728i | ||||
\(327\) | − | 325.054i | − | 0.994048i | ||||||
\(328\) | −398.691 | + | 246.437i | −1.21552 | + | 0.751332i | ||||
\(329\) | −35.2341 | −0.107095 | ||||||||
\(330\) | −206.676 | − | 241.358i | −0.626290 | − | 0.731387i | ||||
\(331\) | − | 578.963i | − | 1.74913i | −0.484907 | − | 0.874566i | \(-0.661146\pi\) | ||
0.484907 | − | 0.874566i | \(-0.338854\pi\) | |||||||
\(332\) | 201.982 | + | 31.4590i | 0.608380 | + | 0.0947561i | ||||
\(333\) | −55.2641 | −0.165958 | ||||||||
\(334\) | 388.261 | − | 332.470i | 1.16246 | − | 0.995418i | ||||
\(335\) | 140.954i | 0.420757i | ||||||||
\(336\) | 535.385 | + | 170.920i | 1.59341 | + | 0.508691i | ||||
\(337\) | 592.466 | 1.75806 | 0.879030 | − | 0.476767i | \(-0.158191\pi\) | ||||
0.879030 | + | 0.476767i | \(0.158191\pi\) | |||||||
\(338\) | −106.138 | − | 123.948i | −0.314016 | − | 0.366711i | ||||
\(339\) | 280.957i | 0.828782i | ||||||||
\(340\) | 44.3628 | − | 284.831i | 0.130479 | − | 0.837738i | ||||
\(341\) | 597.612 | 1.75253 | ||||||||
\(342\) | 52.1176 | − | 44.6286i | 0.152391 | − | 0.130493i | ||||
\(343\) | 212.661i | 0.620002i | ||||||||
\(344\) | −40.3168 | − | 65.2254i | −0.117200 | − | 0.189609i | ||||
\(345\) | −89.9981 | −0.260864 | ||||||||
\(346\) | 15.3823 | + | 17.9635i | 0.0444574 | + | 0.0519178i | ||||
\(347\) | 299.965i | 0.864451i | 0.901765 | + | 0.432226i | \(0.142272\pi\) | ||||
−0.901765 | + | 0.432226i | \(0.857728\pi\) | |||||||
\(348\) | 518.418 | + | 80.7444i | 1.48971 | + | 0.232024i | ||||
\(349\) | −204.300 | −0.585386 | −0.292693 | − | 0.956206i | \(-0.594551\pi\) | ||||
−0.292693 | + | 0.956206i | \(0.594551\pi\) | |||||||
\(350\) | 64.9566 | − | 55.6227i | 0.185590 | − | 0.158922i | ||||
\(351\) | − | 73.4321i | − | 0.209208i | ||||||
\(352\) | −510.048 | + | 215.118i | −1.44900 | + | 0.611130i | ||||
\(353\) | −562.400 | −1.59320 | −0.796601 | − | 0.604506i | \(-0.793371\pi\) | ||||
−0.796601 | + | 0.604506i | \(0.793371\pi\) | |||||||
\(354\) | 57.4677 | + | 67.1112i | 0.162338 | + | 0.189580i | ||||
\(355\) | − | 234.409i | − | 0.660306i | ||||||
\(356\) | 44.1475 | − | 283.448i | 0.124010 | − | 0.796203i | ||||
\(357\) | −1132.06 | −3.17102 | ||||||||
\(358\) | 475.085 | − | 406.818i | 1.32705 | − | 1.13636i | ||||
\(359\) | − | 154.369i | − | 0.429997i | −0.976614 | − | 0.214998i | \(-0.931025\pi\) | ||
0.976614 | − | 0.214998i | \(-0.0689746\pi\) | |||||||
\(360\) | 119.762 | − | 74.0268i | 0.332673 | − | 0.205630i | ||||
\(361\) | −19.0000 | −0.0526316 | ||||||||
\(362\) | 45.5325 | + | 53.1733i | 0.125781 | + | 0.146887i | ||||
\(363\) | − | 732.113i | − | 2.01684i | ||||||
\(364\) | 535.048 | + | 83.3346i | 1.46991 | + | 0.228941i | ||||
\(365\) | −295.799 | −0.810408 | ||||||||
\(366\) | −178.476 | + | 152.830i | −0.487640 | + | 0.417569i | ||||
\(367\) | − | 45.3220i | − | 0.123493i | −0.998092 | − | 0.0617466i | \(-0.980333\pi\) | ||
0.998092 | − | 0.0617466i | \(-0.0196671\pi\) | |||||||
\(368\) | −47.6821 | + | 149.358i | −0.129571 | + | 0.405863i | ||||
\(369\) | 461.126 | 1.24966 | ||||||||
\(370\) | 20.4242 | + | 23.8516i | 0.0552006 | + | 0.0644637i | ||||
\(371\) | − | 403.692i | − | 1.08812i | ||||||
\(372\) | −87.3495 | + | 560.826i | −0.234810 | + | 1.50760i | ||||
\(373\) | −617.732 | −1.65612 | −0.828059 | − | 0.560641i | \(-0.810555\pi\) | ||||
−0.828059 | + | 0.560641i | \(0.810555\pi\) | |||||||
\(374\) | 846.949 | − | 725.247i | 2.26457 | − | 1.93916i | ||||
\(375\) | − | 45.9220i | − | 0.122459i | ||||||
\(376\) | 17.3302 | + | 28.0371i | 0.0460909 | + | 0.0745669i | ||||
\(377\) | 505.524 | 1.34091 | ||||||||
\(378\) | 51.6043 | + | 60.2639i | 0.136519 | + | 0.159428i | ||||
\(379\) | 206.852i | 0.545784i | 0.962045 | + | 0.272892i | \(0.0879802\pi\) | ||||
−0.962045 | + | 0.272892i | \(0.912020\pi\) | |||||||
\(380\) | −38.5227 | − | 5.99997i | −0.101376 | − | 0.0157894i | ||||
\(381\) | 556.826 | 1.46149 | ||||||||
\(382\) | 142.943 | − | 122.403i | 0.374195 | − | 0.320425i | ||||
\(383\) | 178.107i | 0.465032i | 0.972593 | + | 0.232516i | \(0.0746958\pi\) | ||||
−0.972593 | + | 0.232516i | \(0.925304\pi\) | |||||||
\(384\) | −127.326 | − | 510.095i | −0.331577 | − | 1.32837i | ||||
\(385\) | 330.790 | 0.859194 | ||||||||
\(386\) | 243.420 | + | 284.268i | 0.630622 | + | 0.736445i | ||||
\(387\) | 75.4398i | 0.194935i | ||||||||
\(388\) | −80.4650 | + | 516.624i | −0.207384 | + | 1.33151i | ||||
\(389\) | −426.409 | −1.09617 | −0.548084 | − | 0.836423i | \(-0.684643\pi\) | ||||
−0.548084 | + | 0.836423i | \(0.684643\pi\) | |||||||
\(390\) | 220.867 | − | 189.130i | 0.566327 | − | 0.484948i | ||||
\(391\) | − | 315.813i | − | 0.807705i | ||||||
\(392\) | −164.221 | + | 101.507i | −0.418930 | + | 0.258947i | ||||
\(393\) | −728.932 | −1.85479 | ||||||||
\(394\) | −152.207 | − | 177.748i | −0.386312 | − | 0.451138i | ||||
\(395\) | − | 165.730i | − | 0.419569i | ||||||
\(396\) | 538.117 | + | 83.8124i | 1.35888 | + | 0.211648i | ||||
\(397\) | −639.706 | −1.61135 | −0.805675 | − | 0.592357i | \(-0.798197\pi\) | ||||
−0.805675 | + | 0.592357i | \(0.798197\pi\) | |||||||
\(398\) | 191.495 | − | 163.978i | 0.481143 | − | 0.412005i | ||||
\(399\) | 153.108i | 0.383729i | ||||||||
\(400\) | −76.2106 | − | 24.3300i | −0.190526 | − | 0.0608251i | ||||
\(401\) | −587.043 | −1.46395 | −0.731973 | − | 0.681333i | \(-0.761400\pi\) | ||||
−0.731973 | + | 0.681333i | \(0.761400\pi\) | |||||||
\(402\) | −336.809 | − | 393.328i | −0.837833 | − | 0.978429i | ||||
\(403\) | 546.878i | 1.35702i | ||||||||
\(404\) | −52.4672 | + | 336.865i | −0.129869 | + | 0.833824i | ||||
\(405\) | 200.998 | 0.496290 | ||||||||
\(406\) | −414.871 | + | 355.256i | −1.02185 | + | 0.875015i | ||||
\(407\) | 121.463i | 0.298436i | ||||||||
\(408\) | 556.811 | + | 900.820i | 1.36473 | + | 2.20789i | ||||
\(409\) | −165.516 | −0.404685 | −0.202342 | − | 0.979315i | \(-0.564855\pi\) | ||||
−0.202342 | + | 0.979315i | \(0.564855\pi\) | |||||||
\(410\) | −170.421 | − | 199.019i | −0.415660 | − | 0.485412i | ||||
\(411\) | 791.222i | 1.92512i | ||||||||
\(412\) | −444.002 | − | 69.1540i | −1.07768 | − | 0.167850i | ||||
\(413\) | −91.9785 | −0.222708 | ||||||||
\(414\) | 117.163 | − | 100.327i | 0.283002 | − | 0.242336i | ||||
\(415\) | 114.273i | 0.275356i | ||||||||
\(416\) | −196.855 | − | 466.747i | −0.473210 | − | 1.12199i | ||||
\(417\) | 396.555 | 0.950972 | ||||||||
\(418\) | −98.0880 | − | 114.548i | −0.234660 | − | 0.274038i | ||||
\(419\) | 612.808i | 1.46255i | 0.682083 | + | 0.731275i | \(0.261074\pi\) | ||||
−0.682083 | + | 0.731275i | \(0.738926\pi\) | |||||||
\(420\) | −48.3496 | + | 310.428i | −0.115118 | + | 0.739114i | ||||
\(421\) | −234.767 | −0.557641 | −0.278820 | − | 0.960343i | \(-0.589943\pi\) | ||||
−0.278820 | + | 0.960343i | \(0.589943\pi\) | |||||||
\(422\) | 286.997 | − | 245.757i | 0.680087 | − | 0.582362i | ||||
\(423\) | − | 32.4278i | − | 0.0766615i | ||||||
\(424\) | −321.233 | + | 198.559i | −0.757625 | + | 0.468300i | ||||
\(425\) | 161.145 | 0.379165 | ||||||||
\(426\) | 560.120 | + | 654.112i | 1.31484 | + | 1.53548i | ||||
\(427\) | − | 244.608i | − | 0.572854i | ||||||
\(428\) | 231.247 | + | 36.0170i | 0.540296 | + | 0.0841519i | ||||
\(429\) | 1124.76 | 2.62182 | ||||||||
\(430\) | 32.5593 | − | 27.8807i | 0.0757192 | − | 0.0648387i | ||||
\(431\) | 336.696i | 0.781198i | 0.920561 | + | 0.390599i | \(0.127732\pi\) | ||||
−0.920561 | + | 0.390599i | \(0.872268\pi\) | |||||||
\(432\) | 22.5723 | − | 70.7048i | 0.0522507 | − | 0.163668i | ||||
\(433\) | 29.8962 | 0.0690444 | 0.0345222 | − | 0.999404i | \(-0.489009\pi\) | ||||
0.0345222 | + | 0.999404i | \(0.489009\pi\) | |||||||
\(434\) | −384.317 | − | 448.808i | −0.885523 | − | 1.03412i | ||||
\(435\) | 293.299i | 0.674250i | ||||||||
\(436\) | 48.7166 | − | 312.784i | 0.111735 | − | 0.717395i | ||||
\(437\) | −42.7129 | −0.0977412 | ||||||||
\(438\) | 825.421 | − | 706.812i | 1.88452 | − | 1.61373i | ||||
\(439\) | 175.373i | 0.399483i | 0.979849 | + | 0.199742i | \(0.0640103\pi\) | ||||
−0.979849 | + | 0.199742i | \(0.935990\pi\) | |||||||
\(440\) | −162.702 | − | 263.222i | −0.369776 | − | 0.598232i | ||||
\(441\) | 189.938 | 0.430698 | ||||||||
\(442\) | 663.677 | + | 775.047i | 1.50153 | + | 1.75350i | ||||
\(443\) | − | 33.7175i | − | 0.0761117i | −0.999276 | − | 0.0380558i | \(-0.987884\pi\) | ||
0.999276 | − | 0.0380558i | \(-0.0121165\pi\) | |||||||
\(444\) | −113.987 | − | 17.7536i | −0.256727 | − | 0.0399856i | ||||
\(445\) | 160.363 | 0.360366 | ||||||||
\(446\) | 20.1395 | − | 17.2456i | 0.0451559 | − | 0.0386672i | ||||
\(447\) | 520.418i | 1.16424i | ||||||||
\(448\) | 489.560 | + | 244.708i | 1.09277 | + | 0.546223i | ||||
\(449\) | 18.0477 | 0.0401952 | 0.0200976 | − | 0.999798i | \(-0.493602\pi\) | ||||
0.0200976 | + | 0.999798i | \(0.493602\pi\) | |||||||
\(450\) | 51.1925 | + | 59.7830i | 0.113761 | + | 0.132851i | ||||
\(451\) | − | 1013.50i | − | 2.24722i | ||||||
\(452\) | −42.1077 | + | 270.352i | −0.0931586 | + | 0.598124i | ||||
\(453\) | 855.071 | 1.88757 | ||||||||
\(454\) | 501.681 | − | 429.592i | 1.10502 | − | 0.946238i | ||||
\(455\) | 302.707i | 0.665291i | ||||||||
\(456\) | 121.834 | − | 75.3073i | 0.267179 | − | 0.165148i | ||||
\(457\) | 74.2957 | 0.162573 | 0.0812864 | − | 0.996691i | \(-0.474097\pi\) | ||||
0.0812864 | + | 0.996691i | \(0.474097\pi\) | |||||||
\(458\) | 201.242 | + | 235.011i | 0.439392 | + | 0.513125i | ||||
\(459\) | 149.503i | 0.325715i | ||||||||
\(460\) | −86.6010 | − | 13.4882i | −0.188263 | − | 0.0293222i | ||||
\(461\) | 818.673 | 1.77586 | 0.887932 | − | 0.459975i | \(-0.152142\pi\) | ||||
0.887932 | + | 0.459975i | \(0.152142\pi\) | |||||||
\(462\) | −923.062 | + | 790.423i | −1.99797 | + | 1.71087i | ||||
\(463\) | − | 741.844i | − | 1.60225i | −0.598494 | − | 0.801127i | \(-0.704234\pi\) | ||
0.598494 | − | 0.801127i | \(-0.295766\pi\) | |||||||
\(464\) | 486.748 | + | 155.393i | 1.04903 | + | 0.334899i | ||||
\(465\) | −317.291 | −0.682347 | ||||||||
\(466\) | 435.709 | + | 508.825i | 0.934998 | + | 1.09190i | ||||
\(467\) | 469.156i | 1.00462i | 0.864688 | + | 0.502309i | \(0.167516\pi\) | ||||
−0.864688 | + | 0.502309i | \(0.832484\pi\) | |||||||
\(468\) | −76.6972 | + | 492.433i | −0.163883 | + | 1.05221i | ||||
\(469\) | 539.072 | 1.14941 | ||||||||
\(470\) | −13.9956 | + | 11.9845i | −0.0297779 | + | 0.0254989i | ||||
\(471\) | − | 1019.05i | − | 2.16359i | ||||||
\(472\) | 45.2404 | + | 73.1908i | 0.0958482 | + | 0.155065i | ||||
\(473\) | 165.807 | 0.350544 | ||||||||
\(474\) | 396.012 | + | 462.466i | 0.835468 | + | 0.975666i | ||||
\(475\) | − | 21.7945i | − | 0.0458831i | ||||||
\(476\) | −1089.32 | − | 169.664i | −2.28850 | − | 0.356437i | ||||
\(477\) | 371.539 | 0.778907 | ||||||||
\(478\) | −7.79208 | + | 6.67240i | −0.0163014 | + | 0.0139590i | ||||
\(479\) | − | 495.526i | − | 1.03450i | −0.855834 | − | 0.517250i | \(-0.826956\pi\) | ||
0.855834 | − | 0.517250i | \(-0.173044\pi\) | |||||||
\(480\) | 270.801 | − | 114.213i | 0.564168 | − | 0.237944i | ||||
\(481\) | −111.152 | −0.231085 | ||||||||
\(482\) | 120.178 | + | 140.344i | 0.249331 | + | 0.291171i | ||||
\(483\) | 344.194i | 0.712617i | ||||||||
\(484\) | 109.724 | − | 704.478i | 0.226702 | − | 1.45553i | ||||
\(485\) | −292.284 | −0.602647 | ||||||||
\(486\) | −497.457 | + | 425.975i | −1.02357 | + | 0.876492i | ||||
\(487\) | − | 206.341i | − | 0.423698i | −0.977302 | − | 0.211849i | \(-0.932051\pi\) | ||
0.977302 | − | 0.211849i | \(-0.0679485\pi\) | |||||||
\(488\) | −194.644 | + | 120.313i | −0.398861 | + | 0.246542i | ||||
\(489\) | −985.822 | −2.01600 | ||||||||
\(490\) | −70.1963 | − | 81.9758i | −0.143258 | − | 0.167297i | ||||
\(491\) | − | 371.192i | − | 0.755991i | −0.925807 | − | 0.377996i | \(-0.876613\pi\) | ||
0.925807 | − | 0.377996i | \(-0.123387\pi\) | |||||||
\(492\) | 951.111 | + | 148.137i | 1.93315 | + | 0.301091i | ||||
\(493\) | −1029.22 | −2.08766 | ||||||||
\(494\) | 104.823 | − | 89.7607i | 0.212193 | − | 0.181702i | ||||
\(495\) | 304.443i | 0.615037i | ||||||||
\(496\) | −168.105 | + | 526.566i | −0.338921 | + | 1.06162i | ||||
\(497\) | −896.486 | −1.80380 | ||||||||
\(498\) | −273.055 | − | 318.876i | −0.548304 | − | 0.640314i | ||||
\(499\) | − | 341.223i | − | 0.683813i | −0.939734 | − | 0.341907i | \(-0.888927\pi\) | ||
0.939734 | − | 0.341907i | \(-0.111073\pi\) | |||||||
\(500\) | 6.88244 | − | 44.1886i | 0.0137649 | − | 0.0883772i | ||||
\(501\) | −1049.76 | −2.09533 | ||||||||
\(502\) | −83.3742 | + | 71.3938i | −0.166084 | + | 0.142219i | ||||
\(503\) | 573.405i | 1.13997i | 0.821655 | + | 0.569985i | \(0.193051\pi\) | ||||
−0.821655 | + | 0.569985i | \(0.806949\pi\) | |||||||
\(504\) | −283.113 | − | 458.026i | −0.561732 | − | 0.908781i | ||||
\(505\) | −190.584 | −0.377393 | ||||||||
\(506\) | −220.507 | − | 257.509i | −0.435784 | − | 0.508912i | ||||
\(507\) | 335.126i | 0.660997i | ||||||||
\(508\) | 535.808 | + | 83.4529i | 1.05474 | + | 0.164277i | ||||
\(509\) | −134.154 | −0.263565 | −0.131782 | − | 0.991279i | \(-0.542070\pi\) | ||||
−0.131782 | + | 0.991279i | \(0.542070\pi\) | |||||||
\(510\) | −449.672 | + | 385.057i | −0.881710 | + | 0.755013i | ||||
\(511\) | 1131.27i | 2.21384i | ||||||||
\(512\) | −46.0704 | − | 509.923i | −0.0899812 | − | 0.995943i | ||||
\(513\) | 20.2200 | 0.0394151 | ||||||||
\(514\) | −66.2865 | − | 77.4099i | −0.128962 | − | 0.150603i | ||||
\(515\) | − | 251.197i | − | 0.487762i | ||||||
\(516\) | −24.2351 | + | 155.601i | −0.0469672 | + | 0.301552i | ||||
\(517\) | −71.2722 | −0.137857 | ||||||||
\(518\) | 91.2194 | − | 78.1116i | 0.176099 | − | 0.150795i | ||||
\(519\) | − | 48.5690i | − | 0.0935819i | ||||||
\(520\) | 240.876 | − | 148.889i | 0.463223 | − | 0.286325i | ||||
\(521\) | 45.7024 | 0.0877205 | 0.0438603 | − | 0.999038i | \(-0.486034\pi\) | ||||
0.0438603 | + | 0.999038i | \(0.486034\pi\) | |||||||
\(522\) | −326.961 | − | 381.827i | −0.626361 | − | 0.731470i | ||||
\(523\) | 695.267i | 1.32938i | 0.747118 | + | 0.664691i | \(0.231437\pi\) | ||||
−0.747118 | + | 0.664691i | \(0.768563\pi\) | |||||||
\(524\) | −701.417 | − | 109.247i | −1.33858 | − | 0.208486i | ||||
\(525\) | −175.627 | −0.334527 | ||||||||
\(526\) | 627.348 | − | 537.201i | 1.19268 | − | 1.02130i | ||||
\(527\) | − | 1113.41i | − | 2.11273i | ||||||
\(528\) | 1082.99 | + | 345.740i | 2.05111 | + | 0.654811i | ||||
\(529\) | 432.979 | 0.818486 | ||||||||
\(530\) | −137.311 | − | 160.353i | −0.259078 | − | 0.302553i | ||||
\(531\) | − | 84.6526i | − | 0.159421i | ||||||
\(532\) | −22.9466 | + | 147.329i | −0.0431328 | + | 0.276934i | ||||
\(533\) | 927.456 | 1.74007 | ||||||||
\(534\) | −447.489 | + | 383.187i | −0.837995 | + | 0.717579i | ||||
\(535\) | 130.829i | 0.244541i | ||||||||
\(536\) | −265.147 | − | 428.960i | −0.494677 | − | 0.800298i | ||||
\(537\) | −1284.51 | −2.39202 | ||||||||
\(538\) | −207.062 | − | 241.809i | −0.384873 | − | 0.449458i | ||||
\(539\) | − | 417.459i | − | 0.774507i | ||||||
\(540\) | 40.9962 | + | 6.38522i | 0.0759189 | + | 0.0118245i | ||||
\(541\) | 854.031 | 1.57861 | 0.789307 | − | 0.613998i | \(-0.210440\pi\) | ||||
0.789307 | + | 0.613998i | \(0.210440\pi\) | |||||||
\(542\) | −232.501 | + | 199.092i | −0.428969 | + | 0.367329i | ||||
\(543\) | − | 143.767i | − | 0.264765i | ||||||
\(544\) | 400.785 | + | 950.268i | 0.736737 | + | 1.74682i | ||||
\(545\) | 176.960 | 0.324697 | ||||||||
\(546\) | −723.320 | − | 844.699i | −1.32476 | − | 1.54707i | ||||
\(547\) | − | 730.236i | − | 1.33498i | −0.744617 | − | 0.667492i | \(-0.767368\pi\) | ||
0.744617 | − | 0.667492i | \(-0.232632\pi\) | |||||||
\(548\) | −118.582 | + | 761.357i | −0.216391 | + | 1.38934i | ||||
\(549\) | 225.126 | 0.410066 | ||||||||
\(550\) | 131.395 | − | 112.515i | 0.238901 | − | 0.204572i | ||||
\(551\) | 139.199i | 0.252630i | ||||||||
\(552\) | 273.888 | − | 169.295i | 0.496175 | − | 0.306693i | ||||
\(553\) | −633.827 | −1.14616 | ||||||||
\(554\) | −473.547 | − | 553.012i | −0.854778 | − | 0.998216i | ||||
\(555\) | − | 64.4888i | − | 0.116196i | ||||||
\(556\) | 381.587 | + | 59.4327i | 0.686307 | + | 0.106893i | ||||
\(557\) | 644.497 | 1.15709 | 0.578543 | − | 0.815652i | \(-0.303621\pi\) | ||||
0.578543 | + | 0.815652i | \(0.303621\pi\) | |||||||
\(558\) | 413.062 | − | 353.707i | 0.740254 | − | 0.633883i | ||||
\(559\) | 151.731i | 0.271433i | ||||||||
\(560\) | −93.0492 | + | 291.464i | −0.166159 | + | 0.520472i | ||||
\(561\) | −2289.94 | −4.08189 | ||||||||
\(562\) | 402.347 | + | 469.864i | 0.715919 | + | 0.836056i | ||||
\(563\) | 236.145i | 0.419440i | 0.977761 | + | 0.209720i | \(0.0672553\pi\) | ||||
−0.977761 | + | 0.209720i | \(0.932745\pi\) | |||||||
\(564\) | 10.4174 | − | 66.8850i | 0.0184706 | − | 0.118591i | ||||
\(565\) | −152.953 | −0.270714 | ||||||||
\(566\) | 129.552 | − | 110.936i | 0.228891 | − | 0.196000i | ||||
\(567\) | − | 768.708i | − | 1.35575i | ||||||
\(568\) | 440.944 | + | 713.369i | 0.776310 | + | 1.25593i | ||||
\(569\) | 511.234 | 0.898477 | 0.449239 | − | 0.893412i | \(-0.351695\pi\) | ||||
0.449239 | + | 0.893412i | \(0.351695\pi\) | |||||||
\(570\) | 52.0780 | + | 60.8171i | 0.0913649 | + | 0.106697i | ||||
\(571\) | 285.885i | 0.500674i | 0.968159 | + | 0.250337i | \(0.0805414\pi\) | ||||
−0.968159 | + | 0.250337i | \(0.919459\pi\) | |||||||
\(572\) | 1082.31 | + | 168.571i | 1.89214 | + | 0.294704i | ||||
\(573\) | −386.482 | −0.674488 | ||||||||
\(574\) | −761.139 | + | 651.767i | −1.32603 | + | 1.13548i | ||||
\(575\) | − | 48.9951i | − | 0.0852088i | ||||||
\(576\) | −225.217 | + | 450.567i | −0.391003 | + | 0.782235i | ||||
\(577\) | 396.251 | 0.686744 | 0.343372 | − | 0.939200i | \(-0.388431\pi\) | ||||
0.343372 | + | 0.939200i | \(0.388431\pi\) | |||||||
\(578\) | −975.259 | − | 1138.92i | −1.68730 | − | 1.97044i | ||||
\(579\) | − | 768.590i | − | 1.32744i | ||||||
\(580\) | −43.9574 | + | 282.228i | −0.0757886 | + | 0.486599i | ||||
\(581\) | 437.032 | 0.752207 | ||||||||
\(582\) | 815.612 | − | 698.412i | 1.40139 | − | 1.20002i | ||||
\(583\) | − | 816.595i | − | 1.40068i | ||||||
\(584\) | 900.196 | − | 556.425i | 1.54143 | − | 0.952783i | ||||
\(585\) | −278.597 | −0.476235 | ||||||||
\(586\) | −137.100 | − | 160.106i | −0.233959 | − | 0.273219i | ||||
\(587\) | − | 204.563i | − | 0.348488i | −0.984702 | − | 0.174244i | \(-0.944252\pi\) | ||
0.984702 | − | 0.174244i | \(-0.0557482\pi\) | |||||||
\(588\) | 391.763 | + | 61.0176i | 0.666263 | + | 0.103771i | ||||
\(589\) | −150.586 | −0.255664 | ||||||||
\(590\) | −36.5355 | + | 31.2855i | −0.0619245 | + | 0.0530263i | ||||
\(591\) | 480.588i | 0.813177i | ||||||||
\(592\) | −107.023 | − | 34.1669i | −0.180783 | − | 0.0577144i | ||||
\(593\) | −212.039 | −0.357569 | −0.178785 | − | 0.983888i | \(-0.557217\pi\) | ||||
−0.178785 | + | 0.983888i | \(0.557217\pi\) | |||||||
\(594\) | 104.386 | + | 121.903i | 0.175734 | + | 0.205224i | ||||
\(595\) | − | 616.293i | − | 1.03579i | ||||||
\(596\) | −77.9962 | + | 500.774i | −0.130866 | + | 0.840224i | ||||
\(597\) | −517.755 | −0.867261 | ||||||||
\(598\) | 235.648 | − | 201.786i | 0.394060 | − | 0.337436i | ||||
\(599\) | − | 662.916i | − | 1.10671i | −0.832947 | − | 0.553353i | \(-0.813348\pi\) | ||
0.832947 | − | 0.553353i | \(-0.186652\pi\) | |||||||
\(600\) | 86.3835 | + | 139.753i | 0.143972 | + | 0.232922i | ||||
\(601\) | 831.567 | 1.38364 | 0.691820 | − | 0.722070i | \(-0.256809\pi\) | ||||
0.691820 | + | 0.722070i | \(0.256809\pi\) | |||||||
\(602\) | −106.628 | − | 124.522i | −0.177124 | − | 0.206846i | ||||
\(603\) | 496.136i | 0.822779i | ||||||||
\(604\) | 822.795 | + | 128.152i | 1.36224 | + | 0.212171i | ||||
\(605\) | 398.563 | 0.658783 | ||||||||
\(606\) | 531.820 | − | 455.400i | 0.877591 | − | 0.751485i | ||||
\(607\) | 734.539i | 1.21011i | 0.796182 | + | 0.605057i | \(0.206850\pi\) | ||||
−0.796182 | + | 0.605057i | \(0.793150\pi\) | |||||||
\(608\) | 128.522 | − | 54.2052i | 0.211384 | − | 0.0891534i | ||||
\(609\) | 1121.71 | 1.84189 | ||||||||
\(610\) | −83.2009 | − | 97.1627i | −0.136395 | − | 0.159283i | ||||
\(611\) | − | 65.2215i | − | 0.106746i | ||||||
\(612\) | 156.151 | − | 1002.56i | 0.255148 | − | 1.63817i | ||||
\(613\) | −206.027 | −0.336097 | −0.168048 | − | 0.985779i | \(-0.553746\pi\) | ||||
−0.168048 | + | 0.985779i | \(0.553746\pi\) | |||||||
\(614\) | −459.971 | + | 393.876i | −0.749139 | + | 0.641491i | ||||
\(615\) | 538.098i | 0.874956i | ||||||||
\(616\) | −1006.68 | + | 622.246i | −1.63423 | + | 1.01014i | ||||
\(617\) | −634.031 | −1.02760 | −0.513801 | − | 0.857909i | \(-0.671763\pi\) | ||||
−0.513801 | + | 0.857909i | \(0.671763\pi\) | |||||||
\(618\) | 600.237 | + | 700.961i | 0.971257 | + | 1.13424i | ||||
\(619\) | − | 152.766i | − | 0.246796i | −0.992357 | − | 0.123398i | \(-0.960621\pi\) | ||
0.992357 | − | 0.123398i | \(-0.0393791\pi\) | |||||||
\(620\) | −305.315 | − | 47.5532i | −0.492443 | − | 0.0766987i | ||||
\(621\) | 45.4555 | 0.0731972 | ||||||||
\(622\) | −114.892 | + | 98.3830i | −0.184714 | + | 0.158172i | ||||
\(623\) | − | 613.301i | − | 0.984432i | ||||||
\(624\) | −316.389 | + | 991.045i | −0.507033 | + | 1.58821i | ||||
\(625\) | 25.0000 | 0.0400000 | ||||||||
\(626\) | 117.778 | + | 137.543i | 0.188144 | + | 0.219716i | ||||
\(627\) | 309.709i | 0.493954i | ||||||||
\(628\) | 152.728 | − | 980.588i | 0.243197 | − | 1.56145i | ||||
\(629\) | 226.298 | 0.359774 | ||||||||
\(630\) | 228.638 | − | 195.784i | 0.362917 | − | 0.310768i | ||||
\(631\) | − | 1083.57i | − | 1.71723i | −0.512621 | − | 0.858615i | \(-0.671325\pi\) | ||
0.512621 | − | 0.858615i | \(-0.328675\pi\) | |||||||
\(632\) | 311.753 | + | 504.361i | 0.493280 | + | 0.798039i | ||||
\(633\) | −775.968 | −1.22586 | ||||||||
\(634\) | −262.145 | − | 306.135i | −0.413478 | − | 0.482863i | ||||
\(635\) | 303.137i | 0.477381i | ||||||||
\(636\) | 766.329 | + | 119.357i | 1.20492 | + | 0.187668i | ||||
\(637\) | 382.019 | 0.599716 | ||||||||
\(638\) | −839.208 | + | 718.618i | −1.31537 | + | 1.12636i | ||||
\(639\) | − | 825.083i | − | 1.29121i | ||||||
\(640\) | 277.696 | − | 69.3162i | 0.433901 | − | 0.108307i | ||||
\(641\) | 566.330 | 0.883510 | 0.441755 | − | 0.897136i | \(-0.354356\pi\) | ||||
0.441755 | + | 0.897136i | \(0.354356\pi\) | |||||||
\(642\) | −312.617 | − | 365.077i | −0.486943 | − | 0.568656i | ||||
\(643\) | 1015.89i | 1.57992i | 0.613159 | + | 0.789960i | \(0.289898\pi\) | ||||
−0.613159 | + | 0.789960i | \(0.710102\pi\) | |||||||
\(644\) | −51.5852 | + | 331.202i | −0.0801012 | + | 0.514289i | ||||
\(645\) | −88.0322 | −0.136484 | ||||||||
\(646\) | −213.414 | + | 182.747i | −0.330362 | + | 0.282890i | ||||
\(647\) | 12.7553i | 0.0197145i | 0.999951 | + | 0.00985724i | \(0.00313771\pi\) | ||||
−0.999951 | + | 0.00985724i | \(0.996862\pi\) | |||||||
\(648\) | −611.690 | + | 378.095i | −0.943966 | + | 0.583480i | ||||
\(649\) | −186.056 | −0.286681 | ||||||||
\(650\) | 102.963 | + | 120.241i | 0.158404 | + | 0.184985i | ||||
\(651\) | 1213.47i | 1.86401i | ||||||||
\(652\) | −948.611 | − | 147.748i | −1.45493 | − | 0.226607i | ||||
\(653\) | 849.551 | 1.30100 | 0.650498 | − | 0.759508i | \(-0.274560\pi\) | ||||
0.650498 | + | 0.759508i | \(0.274560\pi\) | |||||||
\(654\) | −493.803 | + | 422.846i | −0.755050 | + | 0.646553i | ||||
\(655\) | − | 396.832i | − | 0.605850i | ||||||
\(656\) | 893.009 | + | 285.091i | 1.36129 | + | 0.434590i | ||||
\(657\) | −1041.17 | −1.58473 | ||||||||
\(658\) | 45.8343 | + | 53.5256i | 0.0696569 | + | 0.0813459i | ||||
\(659\) | 217.500i | 0.330046i | 0.986290 | + | 0.165023i | \(0.0527699\pi\) | ||||
−0.986290 | + | 0.165023i | \(0.947230\pi\) | |||||||
\(660\) | −97.8025 | + | 627.940i | −0.148186 | + | 0.951423i | ||||
\(661\) | 441.440 | 0.667837 | 0.333918 | − | 0.942602i | \(-0.391629\pi\) | ||||
0.333918 | + | 0.942602i | \(0.391629\pi\) | |||||||
\(662\) | −879.526 | + | 753.143i | −1.32859 | + | 1.13768i | ||||
\(663\) | − | 2095.54i | − | 3.16069i | ||||||
\(664\) | −214.958 | − | 347.763i | −0.323732 | − | 0.523740i | ||||
\(665\) | −83.3522 | −0.125342 | ||||||||
\(666\) | 71.8902 | + | 83.9539i | 0.107943 | + | 0.126057i | ||||
\(667\) | 312.926i | 0.469155i | ||||||||
\(668\) | −1010.14 | − | 157.330i | −1.51218 | − | 0.235525i | ||||
\(669\) | −54.4524 | −0.0813937 | ||||||||
\(670\) | 214.129 | − | 183.359i | 0.319595 | − | 0.273671i | ||||
\(671\) | − | 494.798i | − | 0.737405i | ||||||
\(672\) | −436.803 | − | 1035.67i | −0.650004 | − | 1.54117i | ||||
\(673\) | 724.701 | 1.07682 | 0.538411 | − | 0.842683i | \(-0.319025\pi\) | ||||
0.538411 | + | 0.842683i | \(0.319025\pi\) | |||||||
\(674\) | −770.709 | − | 900.040i | −1.14349 | − | 1.33537i | ||||
\(675\) | 23.1939i | 0.0343613i | ||||||||
\(676\) | −50.2261 | + | 322.476i | −0.0742989 | + | 0.477035i | ||||
\(677\) | 403.934 | 0.596653 | 0.298327 | − | 0.954464i | \(-0.403571\pi\) | ||||
0.298327 | + | 0.954464i | \(0.403571\pi\) | |||||||
\(678\) | 426.814 | − | 365.483i | 0.629518 | − | 0.539060i | ||||
\(679\) | 1117.83i | 1.64628i | ||||||||
\(680\) | −490.408 | + | 303.129i | −0.721188 | + | 0.445777i | ||||
\(681\) | −1356.42 | −1.99181 | ||||||||
\(682\) | −777.403 | − | 907.858i | −1.13989 | − | 1.33117i | ||||
\(683\) | − | 891.638i | − | 1.30547i | −0.757585 | − | 0.652736i | \(-0.773621\pi\) | ||
0.757585 | − | 0.652736i | \(-0.226379\pi\) | |||||||
\(684\) | −135.594 | − | 21.1190i | −0.198237 | − | 0.0308757i | ||||
\(685\) | −430.743 | −0.628821 | ||||||||
\(686\) | 323.062 | − | 276.640i | 0.470936 | − | 0.403265i | ||||
\(687\) | − | 635.413i | − | 0.924910i | ||||||
\(688\) | −46.6405 | + | 146.095i | −0.0677915 | + | 0.212348i | ||||
\(689\) | 747.270 | 1.08457 | ||||||||
\(690\) | 117.074 | + | 136.720i | 0.169672 | + | 0.198145i | ||||
\(691\) | 449.009i | 0.649796i | 0.945749 | + | 0.324898i | \(0.105330\pi\) | ||||
−0.945749 | + | 0.324898i | \(0.894670\pi\) | |||||||
\(692\) | 7.27915 | − | 46.7357i | 0.0105190 | − | 0.0675372i | ||||
\(693\) | 1164.33 | 1.68013 | ||||||||
\(694\) | 455.689 | − | 390.209i | 0.656612 | − | 0.562260i | ||||
\(695\) | 215.885i | 0.310626i | ||||||||
\(696\) | −551.722 | − | 892.587i | −0.792703 | − | 1.28245i | ||||
\(697\) | −1888.24 | −2.70910 | ||||||||
\(698\) | 265.763 | + | 310.360i | 0.380750 | + | 0.444642i | ||||
\(699\) | − | 1375.74i | − | 1.96815i | ||||||
\(700\) | −168.998 | − | 26.3216i | −0.241425 | − | 0.0376023i | ||||
\(701\) | 1019.24 | 1.45398 | 0.726988 | − | 0.686650i | \(-0.240920\pi\) | ||||
0.726988 | + | 0.686650i | \(0.240920\pi\) | |||||||
\(702\) | −111.554 | + | 95.5241i | −0.158909 | + | 0.136074i | ||||
\(703\) | − | 30.6063i | − | 0.0435366i | ||||||
\(704\) | 990.290 | + | 495.000i | 1.40666 | + | 0.703124i | ||||
\(705\) | 37.8407 | 0.0536747 | ||||||||
\(706\) | 731.597 | + | 854.365i | 1.03626 | + | 1.21015i | ||||
\(707\) | 728.880i | 1.03095i | ||||||||
\(708\) | 27.1947 | − | 174.603i | 0.0384106 | − | 0.246615i | ||||
\(709\) | −698.661 | −0.985417 | −0.492708 | − | 0.870194i | \(-0.663993\pi\) | ||||
−0.492708 | + | 0.870194i | \(0.663993\pi\) | |||||||
\(710\) | −356.100 | + | 304.930i | −0.501549 | + | 0.429479i | ||||
\(711\) | − | 583.344i | − | 0.820456i | ||||||
\(712\) | −488.028 | + | 301.657i | −0.685432 | + | 0.423676i | ||||
\(713\) | −338.524 | −0.474789 | ||||||||
\(714\) | 1472.63 | + | 1719.75i | 2.06251 | + | 2.40862i | ||||
\(715\) | 612.322i | 0.856394i | ||||||||
\(716\) | −1236.03 | − | 192.513i | −1.72629 | − | 0.268873i | ||||
\(717\) | 21.0679 | 0.0293834 | ||||||||
\(718\) | −234.508 | + | 200.810i | −0.326613 | + | 0.279680i | ||||
\(719\) | 848.462i | 1.18006i | 0.807382 | + | 0.590029i | \(0.200884\pi\) | ||||
−0.807382 | + | 0.590029i | \(0.799116\pi\) | |||||||
\(720\) | −268.250 | − | 85.6380i | −0.372569 | − | 0.118942i | ||||
\(721\) | −960.695 | −1.33245 | ||||||||
\(722\) | 24.7161 | + | 28.8637i | 0.0342329 | + | 0.0399774i | ||||
\(723\) | − | 379.457i | − | 0.524836i | ||||||
\(724\) | 21.5468 | − | 138.341i | 0.0297607 | − | 0.191078i | ||||
\(725\) | −159.672 | −0.220238 | ||||||||
\(726\) | −1112.18 | + | 952.368i | −1.53193 | + | 1.31180i | ||||
\(727\) | − | 398.224i | − | 0.547764i | −0.961763 | − | 0.273882i | \(-0.911692\pi\) | ||
0.961763 | − | 0.273882i | \(-0.0883078\pi\) | |||||||
\(728\) | −569.420 | − | 921.220i | −0.782171 | − | 1.26541i | ||||
\(729\) | 536.002 | 0.735257 | ||||||||
\(730\) | 384.790 | + | 449.361i | 0.527109 | + | 0.615563i | ||||
\(731\) | − | 308.914i | − | 0.422592i | ||||||
\(732\) | 464.341 | + | 72.3218i | 0.634346 | + | 0.0988003i | ||||
\(733\) | 116.789 | 0.159330 | 0.0796650 | − | 0.996822i | \(-0.474615\pi\) | ||||
0.0796650 | + | 0.996822i | \(0.474615\pi\) | |||||||
\(734\) | −68.8505 | + | 58.9571i | −0.0938018 | + | 0.0803230i | ||||
\(735\) | 221.642i | 0.301554i | ||||||||
\(736\) | 288.923 | − | 121.856i | 0.392558 | − | 0.165565i | ||||
\(737\) | 1090.44 | 1.47957 | ||||||||
\(738\) | −599.856 | − | 700.516i | −0.812813 | − | 0.949209i | ||||
\(739\) | 34.6399i | 0.0468741i | 0.999725 | + | 0.0234370i | \(0.00746092\pi\) | ||||
−0.999725 | + | 0.0234370i | \(0.992539\pi\) | |||||||
\(740\) | 9.66509 | − | 62.0546i | 0.0130609 | − | 0.0838575i | ||||
\(741\) | −283.416 | −0.382478 | ||||||||
\(742\) | −613.265 | + | 525.142i | −0.826503 | + | 0.707739i | ||||
\(743\) | 624.797i | 0.840911i | 0.907313 | + | 0.420456i | \(0.138130\pi\) | ||||
−0.907313 | + | 0.420456i | \(0.861870\pi\) | |||||||
\(744\) | 965.603 | − | 596.854i | 1.29785 | − | 0.802223i | ||||
\(745\) | −283.316 | −0.380290 | ||||||||
\(746\) | 803.576 | + | 938.422i | 1.07718 | + | 1.25794i | ||||
\(747\) | 402.223i | 0.538452i | ||||||||
\(748\) | −2203.51 | − | 343.199i | −2.94586 | − | 0.458823i | ||||
\(749\) | 500.352 | 0.668027 | ||||||||
\(750\) | −69.7620 | + | 59.7376i | −0.0930160 | + | 0.0796501i | ||||
\(751\) | 425.557i | 0.566654i | 0.959023 | + | 0.283327i | \(0.0914381\pi\) | ||||
−0.959023 | + | 0.283327i | \(0.908562\pi\) | |||||||
\(752\) | 20.0484 | − | 62.7991i | 0.0266602 | − | 0.0835094i | ||||
\(753\) | 225.423 | 0.299367 | ||||||||
\(754\) | −657.611 | − | 767.963i | −0.872163 | − | 1.01852i | ||||
\(755\) | 465.502i | 0.616559i | ||||||||
\(756\) | 24.4200 | − | 156.788i | 0.0323016 | − | 0.207392i | ||||
\(757\) | −145.392 | −0.192063 | −0.0960316 | − | 0.995378i | \(-0.530615\pi\) | ||||
−0.0960316 | + | 0.995378i | \(0.530615\pi\) | |||||||
\(758\) | 314.238 | − | 269.083i | 0.414562 | − | 0.354991i | ||||
\(759\) | 696.242i | 0.917315i | ||||||||
\(760\) | 40.9974 | + | 66.3265i | 0.0539440 | + | 0.0872718i | ||||
\(761\) | −1158.73 | −1.52264 | −0.761321 | − | 0.648375i | \(-0.775449\pi\) | ||||
−0.761321 | + | 0.648375i | \(0.775449\pi\) | |||||||
\(762\) | −724.347 | − | 845.898i | −0.950586 | − | 1.11010i | ||||
\(763\) | − | 676.776i | − | 0.886993i | ||||||
\(764\) | −371.894 | − | 57.9230i | −0.486772 | − | 0.0758154i | ||||
\(765\) | 567.207 | 0.741447 | ||||||||
\(766\) | 270.570 | − | 231.691i | 0.353225 | − | 0.302468i | ||||
\(767\) | − | 170.260i | − | 0.221982i | ||||||
\(768\) | −609.275 | + | 856.982i | −0.793327 | + | 1.11586i | ||||
\(769\) | −23.3322 | −0.0303410 | −0.0151705 | − | 0.999885i | \(-0.504829\pi\) | ||||
−0.0151705 | + | 0.999885i | \(0.504829\pi\) | |||||||
\(770\) | −430.308 | − | 502.517i | −0.558841 | − | 0.652619i | ||||
\(771\) | 209.297i | 0.271462i | ||||||||
\(772\) | 115.190 | − | 739.579i | 0.149210 | − | 0.958004i | ||||
\(773\) | 814.780 | 1.05405 | 0.527024 | − | 0.849850i | \(-0.323308\pi\) | ||||
0.527024 | + | 0.849850i | \(0.323308\pi\) | |||||||
\(774\) | 114.604 | − | 98.1358i | 0.148067 | − | 0.126790i | ||||
\(775\) | − | 172.734i | − | 0.222882i | ||||||
\(776\) | 889.498 | − | 549.812i | 1.14626 | − | 0.708521i | ||||
\(777\) | −246.635 | −0.317419 | ||||||||
\(778\) | 554.694 | + | 647.776i | 0.712975 | + | 0.832618i | ||||
\(779\) | 255.380i | 0.327831i | ||||||||
\(780\) | −574.630 | − | 89.4995i | −0.736705 | − | 0.114743i | ||||
\(781\) | −1813.43 | −2.32193 | ||||||||
\(782\) | −479.764 | + | 410.825i | −0.613509 | + | 0.525351i | ||||
\(783\) | − | 148.137i | − | 0.189191i | ||||||
\(784\) | 367.830 | + | 117.429i | 0.469171 | + | 0.149782i | ||||
\(785\) | 554.774 | 0.706719 | ||||||||
\(786\) | 948.230 | + | 1107.35i | 1.20640 | + | 1.40884i | ||||
\(787\) | 839.432i | 1.06662i | 0.845919 | + | 0.533312i | \(0.179053\pi\) | ||||
−0.845919 | + | 0.533312i | \(0.820947\pi\) | |||||||
\(788\) | −72.0268 | + | 462.447i | −0.0914046 | + | 0.586862i | ||||
\(789\) | −1696.20 | −2.14980 | ||||||||
\(790\) | −251.767 | + | 215.590i | −0.318693 | + | 0.272898i | ||||
\(791\) | 584.964i | 0.739525i | ||||||||
\(792\) | −572.686 | − | 926.503i | −0.723088 | − | 1.16983i | ||||
\(793\) | 452.792 | 0.570987 | ||||||||
\(794\) | 832.161 | + | 971.805i | 1.04806 | + | 1.22394i | ||||
\(795\) | 433.556i | 0.545354i | ||||||||
\(796\) | −498.212 | − | 77.5972i | −0.625894 | − | 0.0974839i | ||||
\(797\) | 1337.61 | 1.67831 | 0.839153 | − | 0.543896i | \(-0.183051\pi\) | ||||
0.839153 | + | 0.543896i | \(0.183051\pi\) | |||||||
\(798\) | 232.593 | − | 199.170i | 0.291469 | − | 0.249587i | ||||
\(799\) | 132.787i | 0.166191i | ||||||||
\(800\) | 62.1777 | + | 147.424i | 0.0777221 | + | 0.184280i | ||||
\(801\) | 564.453 | 0.704686 | ||||||||
\(802\) | 763.654 | + | 891.801i | 0.952187 | + | 1.11197i | ||||
\(803\) | 2288.36i | 2.84976i | ||||||||
\(804\) | −159.384 | + | 1023.32i | −0.198239 | + | 1.27279i | ||||
\(805\) | −187.380 | −0.232770 | ||||||||
\(806\) | 830.785 | − | 711.405i | 1.03075 | − | 0.882637i | ||||
\(807\) | 653.791i | 0.810150i | ||||||||
\(808\) | 579.998 | − | 358.505i | 0.717819 | − | 0.443695i | ||||
\(809\) | 1258.72 | 1.55589 | 0.777945 | − | 0.628332i | \(-0.216262\pi\) | ||||
0.777945 | + | 0.628332i | \(0.216262\pi\) | |||||||
\(810\) | −261.468 | − | 305.344i | −0.322799 | − | 0.376968i | ||||
\(811\) | 525.545i | 0.648021i | 0.946054 | + | 0.324010i | \(0.105031\pi\) | ||||
−0.946054 | + | 0.324010i | \(0.894969\pi\) | |||||||
\(812\) | 1079.37 | + | 168.113i | 1.32927 | + | 0.207036i | ||||
\(813\) | 628.626 | 0.773218 | ||||||||
\(814\) | 184.520 | − | 158.006i | 0.226683 | − | 0.194110i | ||||
\(815\) | − | 536.683i | − | 0.658507i | ||||||
\(816\) | 644.147 | − | 2017.71i | 0.789396 | − | 2.47268i | ||||
\(817\) | −41.7799 | −0.0511382 | ||||||||
\(818\) | 215.312 | + | 251.443i | 0.263217 | + | 0.307387i | ||||
\(819\) | 1065.48i | 1.30096i | ||||||||
\(820\) | −80.6460 | + | 517.787i | −0.0983488 | + | 0.631447i | ||||
\(821\) | −1499.42 | −1.82634 | −0.913168 | − | 0.407583i | \(-0.866372\pi\) | ||||
−0.913168 | + | 0.407583i | \(0.866372\pi\) | |||||||
\(822\) | 1201.98 | − | 1029.26i | 1.46226 | − | 1.25214i | ||||
\(823\) | − | 1049.06i | − | 1.27467i | −0.770586 | − | 0.637336i | \(-0.780036\pi\) | ||
0.770586 | − | 0.637336i | \(-0.219964\pi\) | |||||||
\(824\) | 472.525 | + | 764.462i | 0.573453 | + | 0.927745i | ||||
\(825\) | −355.261 | −0.430619 | ||||||||
\(826\) | 119.650 | + | 139.728i | 0.144855 | + | 0.169163i | ||||
\(827\) | 451.107i | 0.545474i | 0.962089 | + | 0.272737i | \(0.0879289\pi\) | ||||
−0.962089 | + | 0.272737i | \(0.912071\pi\) | |||||||
\(828\) | −304.822 | − | 47.4765i | −0.368143 | − | 0.0573388i | ||||
\(829\) | 1094.98 | 1.32084 | 0.660420 | − | 0.750896i | \(-0.270378\pi\) | ||||
0.660420 | + | 0.750896i | \(0.270378\pi\) | |||||||
\(830\) | 173.597 | − | 148.652i | 0.209153 | − | 0.179099i | ||||
\(831\) | 1495.21i | 1.79929i | ||||||||
\(832\) | −452.976 | + | 906.219i | −0.544443 | + | 1.08921i | ||||
\(833\) | −777.766 | −0.933693 | ||||||||
\(834\) | −515.858 | − | 602.423i | −0.618535 | − | 0.722330i | ||||
\(835\) | − | 571.492i | − | 0.684422i | ||||||
\(836\) | −46.4169 | + | 298.019i | −0.0555226 | + | 0.356482i | ||||
\(837\) | 160.255 | 0.191463 | ||||||||
\(838\) | 930.943 | − | 797.171i | 1.11091 | − | 0.951278i | ||||
\(839\) | 136.146i | 0.162271i | 0.996703 | + | 0.0811357i | \(0.0258547\pi\) | ||||
−0.996703 | + | 0.0811357i | \(0.974145\pi\) | |||||||
\(840\) | 534.480 | − | 330.370i | 0.636285 | − | 0.393298i | ||||
\(841\) | 178.809 | 0.212615 | ||||||||
\(842\) | 305.396 | + | 356.644i | 0.362703 | + | 0.423568i | ||||
\(843\) | − | 1270.40i | − | 1.50699i | ||||||
\(844\) | −746.678 | − | 116.296i | −0.884690 | − | 0.137792i | ||||
\(845\) | −182.443 | −0.215909 | ||||||||
\(846\) | −49.2624 | + | 42.1837i | −0.0582298 | + | 0.0498625i | ||||
\(847\) | − | 1524.29i | − | 1.79963i | ||||||
\(848\) | 719.515 | + | 229.703i | 0.848485 | + | 0.270876i | ||||
\(849\) | −350.277 | −0.412576 | ||||||||
\(850\) | −209.625 | − | 244.802i | −0.246618 | − | 0.288003i | ||||
\(851\) | − | 68.8044i | − | 0.0808512i | ||||||
\(852\) | 265.058 | − | 1701.80i | 0.311101 | − | 1.99742i | ||||
\(853\) | 765.324 | 0.897214 | 0.448607 | − | 0.893729i | \(-0.351920\pi\) | ||||
0.448607 | + | 0.893729i | \(0.351920\pi\) | |||||||
\(854\) | −371.595 | + | 318.199i | −0.435123 | + | 0.372598i | ||||
\(855\) | − | 76.7134i | − | 0.0897232i | ||||||
\(856\) | −246.102 | − | 398.150i | −0.287503 | − | 0.465128i | ||||
\(857\) | 840.307 | 0.980521 | 0.490261 | − | 0.871576i | \(-0.336902\pi\) | ||||
0.490261 | + | 0.871576i | \(0.336902\pi\) | |||||||
\(858\) | −1463.14 | − | 1708.67i | −1.70530 | − | 1.99146i | ||||
\(859\) | 882.727i | 1.02762i | 0.857904 | + | 0.513811i | \(0.171767\pi\) | ||||
−0.857904 | + | 0.513811i | \(0.828233\pi\) | |||||||
\(860\) | −84.7093 | − | 13.1936i | −0.0984992 | − | 0.0153414i | ||||
\(861\) | 2057.93 | 2.39017 | ||||||||
\(862\) | 511.489 | − | 437.991i | 0.593375 | − | 0.508110i | ||||
\(863\) | − | 766.394i | − | 0.888057i | −0.896013 | − | 0.444029i | \(-0.853549\pi\) | ||
0.896013 | − | 0.444029i | \(-0.146451\pi\) | |||||||
\(864\) | −136.774 | + | 57.6857i | −0.158303 | + | 0.0667658i | ||||
\(865\) | 26.4410 | 0.0305677 | ||||||||
\(866\) | −38.8905 | − | 45.4166i | −0.0449082 | − | 0.0524441i | ||||
\(867\) | 3079.35i | 3.55173i | ||||||||
\(868\) | −181.865 | + | 1167.66i | −0.209522 | + | 1.34523i | ||||
\(869\) | −1282.12 | −1.47539 | ||||||||
\(870\) | 445.562 | − | 381.537i | 0.512140 | − | 0.438549i | ||||
\(871\) | 997.870i | 1.14566i | ||||||||
\(872\) | −538.537 | + | 332.878i | −0.617588 | + | 0.381740i | ||||
\(873\) | −1028.79 | −1.17846 | ||||||||
\(874\) | 55.5631 | + | 64.8870i | 0.0635733 | + | 0.0742414i | ||||
\(875\) | − | 95.6115i | − | 0.109270i | ||||||
\(876\) | −2147.50 | − | 334.476i | −2.45148 | − | 0.381822i | ||||
\(877\) | −599.534 | −0.683619 | −0.341810 | − | 0.939769i | \(-0.611040\pi\) | ||||
−0.341810 | + | 0.939769i | \(0.611040\pi\) | |||||||
\(878\) | 266.417 | − | 228.134i | 0.303436 | − | 0.259834i | ||||
\(879\) | 432.888i | 0.492478i | ||||||||
\(880\) | −188.222 | + | 589.579i | −0.213888 | + | 0.669976i | ||||
\(881\) | 1225.60 | 1.39114 | 0.695572 | − | 0.718456i | \(-0.255151\pi\) | ||||
0.695572 | + | 0.718456i | \(0.255151\pi\) | |||||||
\(882\) | −247.080 | − | 288.542i | −0.280136 | − | 0.327146i | ||||
\(883\) | 354.586i | 0.401569i | 0.979635 | + | 0.200785i | \(0.0643491\pi\) | ||||
−0.979635 | + | 0.200785i | \(0.935651\pi\) | |||||||
\(884\) | 314.063 | − | 2016.44i | 0.355275 | − | 2.28104i | ||||
\(885\) | 98.7829 | 0.111619 | ||||||||
\(886\) | −51.2216 | + | 43.8613i | −0.0578122 | + | 0.0495049i | ||||
\(887\) | − | 662.363i | − | 0.746745i | −0.927682 | − | 0.373373i | \(-0.878201\pi\) | ||
0.927682 | − | 0.373373i | \(-0.121799\pi\) | |||||||
\(888\) | 121.309 | + | 196.257i | 0.136610 | + | 0.221010i | ||||
\(889\) | 1159.34 | 1.30409 | ||||||||
\(890\) | −208.608 | − | 243.614i | −0.234391 | − | 0.273724i | ||||
\(891\) | − | 1554.96i | − | 1.74518i | ||||||
\(892\) | −52.3970 | − | 8.16091i | −0.0587410 | − | 0.00914900i | ||||
\(893\) | 17.9591 | 0.0201110 | ||||||||
\(894\) | 790.588 | − | 676.985i | 0.884327 | − | 0.757253i | ||||
\(895\) | − | 699.291i | − | 0.781330i | ||||||
\(896\) | −265.097 | − | 1062.04i | −0.295867 | − | 1.18531i | ||||
\(897\) | −637.134 | −0.710294 | ||||||||
\(898\) | −23.4773 | − | 27.4170i | −0.0261440 | − | 0.0305311i | ||||
\(899\) | 1103.23i | 1.22718i | ||||||||
\(900\) | 24.2252 | − | 155.537i | 0.0269168 | − | 0.172819i | ||||
\(901\) | −1521.39 | −1.68856 | ||||||||
\(902\) | −1539.65 | + | 1318.41i | −1.70692 | + | 1.46165i | ||||
\(903\) | 336.676i | 0.372841i | ||||||||
\(904\) | 465.479 | − | 287.719i | 0.514910 | − | 0.318274i | ||||
\(905\) | 78.2673 | 0.0864831 | ||||||||
\(906\) | −1112.32 | − | 1298.97i | −1.22772 | − | 1.43375i | ||||
\(907\) | − | 852.877i | − | 0.940327i | −0.882579 | − | 0.470164i | \(-0.844195\pi\) | ||
0.882579 | − | 0.470164i | \(-0.155805\pi\) | |||||||
\(908\) | −1305.22 | − | 203.290i | −1.43747 | − | 0.223888i | ||||
\(909\) | −670.826 | −0.737983 | ||||||||
\(910\) | 459.855 | − | 393.776i | 0.505336 | − | 0.432721i | ||||
\(911\) | 34.0499i | 0.0373764i | 0.999825 | + | 0.0186882i | \(0.00594899\pi\) | ||||
−0.999825 | + | 0.0186882i | \(0.994051\pi\) | |||||||
\(912\) | −272.890 | − | 87.1194i | −0.299221 | − | 0.0955257i | ||||
\(913\) | 884.036 | 0.968277 | ||||||||
\(914\) | −96.6475 | − | 112.866i | −0.105741 | − | 0.123486i | ||||
\(915\) | 262.704i | 0.287108i | ||||||||
\(916\) | 95.2309 | − | 611.429i | 0.103964 | − | 0.667499i | ||||
\(917\) | −1517.67 | −1.65504 | ||||||||
\(918\) | 227.117 | − | 194.481i | 0.247404 | − | 0.211853i | ||||
\(919\) | − | 70.0240i | − | 0.0761958i | −0.999274 | − | 0.0380979i | \(-0.987870\pi\) | ||
0.999274 | − | 0.0380979i | \(-0.0121299\pi\) | |||||||
\(920\) | 92.1642 | + | 149.105i | 0.100179 | + | 0.162071i | ||||
\(921\) | 1243.65 | 1.35032 | ||||||||
\(922\) | −1064.97 | − | 1243.68i | −1.15507 | − | 1.34889i | ||||
\(923\) | − | 1659.48i | − | 1.79792i | ||||||
\(924\) | 2401.53 | + | 374.042i | 2.59906 | + | 0.404807i | ||||
\(925\) | 35.1078 | 0.0379544 | ||||||||
\(926\) | −1126.97 | + | 965.026i | −1.21703 | + | 1.04215i | ||||
\(927\) | − | 884.178i | − | 0.953805i | ||||||
\(928\) | −397.122 | − | 941.583i | −0.427933 | − | 1.01464i | ||||
\(929\) | −603.637 | −0.649771 | −0.324885 | − | 0.945753i | \(-0.605326\pi\) | ||||
−0.324885 | + | 0.945753i | \(0.605326\pi\) | |||||||
\(930\) | 412.748 | + | 482.010i | 0.443815 | + | 0.518291i | ||||
\(931\) | 105.191i | 0.112987i | ||||||||
\(932\) | 206.185 | − | 1323.81i | 0.221229 | − | 1.42039i | ||||
\(933\) | 310.641 | 0.332948 | ||||||||
\(934\) | 712.715 | − | 610.301i | 0.763078 | − | 0.653428i | ||||
\(935\) | − | 1246.65i | − | 1.33331i | ||||||
\(936\) | 847.847 | − | 524.067i | 0.905819 | − | 0.559901i | ||||
\(937\) | −429.763 | −0.458659 | −0.229329 | − | 0.973349i | \(-0.573653\pi\) | ||||
−0.229329 | + | 0.973349i | \(0.573653\pi\) | |||||||
\(938\) | −701.251 | − | 818.926i | −0.747602 | − | 0.873056i | ||||
\(939\) | − | 371.881i | − | 0.396040i | ||||||
\(940\) | 36.4123 | + | 5.67127i | 0.0387365 | + | 0.00603327i | ||||
\(941\) | 1509.71 | 1.60437 | 0.802184 | − | 0.597077i | \(-0.203671\pi\) | ||||
0.802184 | + | 0.597077i | \(0.203671\pi\) | |||||||
\(942\) | −1548.09 | + | 1325.63i | −1.64340 | + | 1.40725i | ||||
\(943\) | 574.107i | 0.608810i | ||||||||
\(944\) | 52.3364 | − | 163.937i | 0.0554411 | − | 0.173662i | ||||
\(945\) | 88.7041 | 0.0938668 | ||||||||
\(946\) | −215.690 | − | 251.885i | −0.228002 | − | 0.266263i | ||||
\(947\) | − | 34.9178i | − | 0.0368720i | −0.999830 | − | 0.0184360i | \(-0.994131\pi\) | ||
0.999830 | − | 0.0184360i | \(-0.00586870\pi\) | |||||||
\(948\) | 187.400 | − | 1203.20i | 0.197679 | − | 1.26919i | ||||
\(949\) | −2094.09 | −2.20662 | ||||||||
\(950\) | −33.1089 | + | 28.3513i | −0.0348515 | + | 0.0298435i | ||||
\(951\) | 827.714i | 0.870362i | ||||||||
\(952\) | 1159.30 | + | 1875.55i | 1.21776 | + | 1.97011i | ||||
\(953\) | 546.041 | 0.572970 | 0.286485 | − | 0.958085i | \(-0.407513\pi\) | ||||
0.286485 | + | 0.958085i | \(0.407513\pi\) | |||||||
\(954\) | −483.316 | − | 564.420i | −0.506620 | − | 0.591635i | ||||
\(955\) | − | 210.401i | − | 0.220316i | ||||||
\(956\) | 20.2726 | + | 3.15749i | 0.0212057 | + | 0.00330282i | ||||
\(957\) | 2269.01 | 2.37096 | ||||||||
\(958\) | −752.774 | + | 644.604i | −0.785776 | + | 0.672864i | ||||
\(959\) | 1647.36i | 1.71779i | ||||||||
\(960\) | −525.776 | − | 262.811i | −0.547684 | − | 0.273761i | ||||
\(961\) | −232.479 | −0.241913 | ||||||||
\(962\) | 144.592 | + | 168.855i | 0.150303 | + | 0.175525i | ||||
\(963\) | 460.500i | 0.478193i | ||||||||
\(964\) | 56.8701 | − | 365.134i | 0.0589939 | − | 0.378769i | ||||
\(965\) | 418.422 | 0.433598 | ||||||||
\(966\) | 522.880 | − | 447.744i | 0.541283 | − | 0.463504i | ||||
\(967\) | 1508.66i | 1.56014i | 0.625690 | + | 0.780072i | \(0.284817\pi\) | ||||
−0.625690 | + | 0.780072i | \(0.715183\pi\) | |||||||
\(968\) | −1212.94 | + | 749.734i | −1.25303 | + | 0.774519i | ||||
\(969\) | 577.018 | 0.595478 | ||||||||
\(970\) | 380.217 | + | 444.020i | 0.391976 | + | 0.457753i | ||||
\(971\) | 905.996i | 0.933054i | 0.884507 | + | 0.466527i | \(0.154495\pi\) | ||||
−0.884507 | + | 0.466527i | \(0.845505\pi\) | |||||||
\(972\) | 1294.23 | + | 201.579i | 1.33152 | + | 0.207386i | ||||
\(973\) | 825.645 | 0.848556 | ||||||||
\(974\) | −313.461 | + | 268.418i | −0.321829 | + | 0.275584i | ||||
\(975\) | − | 325.101i | − | 0.333437i | ||||||
\(976\) | 435.975 | + | 139.184i | 0.446696 | + | 0.142606i | ||||
\(977\) | 574.517 | 0.588042 | 0.294021 | − | 0.955799i | \(-0.405006\pi\) | ||||
0.294021 | + | 0.955799i | \(0.405006\pi\) | |||||||
\(978\) | 1282.41 | + | 1497.60i | 1.31125 | + | 1.53129i | ||||
\(979\) | − | 1240.60i | − | 1.26721i | ||||||
\(980\) | −33.2181 | + | 213.276i | −0.0338960 | + | 0.217629i | ||||
\(981\) | 622.872 | 0.634936 | ||||||||
\(982\) | −563.893 | + | 482.864i | −0.574229 | + | 0.491715i | ||||
\(983\) | − | 1341.15i | − | 1.36434i | −0.731194 | − | 0.682170i | \(-0.761036\pi\) | ||
0.731194 | − | 0.682170i | \(-0.238964\pi\) | |||||||
\(984\) | −1012.21 | − | 1637.58i | −1.02867 | − | 1.66420i | ||||
\(985\) | −261.633 | −0.265617 | ||||||||
\(986\) | 1338.85 | + | 1563.52i | 1.35786 | + | 1.58573i | ||||
\(987\) | − | 144.720i | − | 0.146626i | ||||||
\(988\) | −272.719 | − | 42.4763i | −0.276031 | − | 0.0429922i | ||||
\(989\) | −93.9234 | −0.0949680 | ||||||||
\(990\) | 462.492 | − | 396.035i | 0.467164 | − | 0.400035i | ||||
\(991\) | − | 1056.29i | − | 1.06589i | −0.846151 | − | 0.532944i | \(-0.821086\pi\) | ||
0.846151 | − | 0.532944i | \(-0.178914\pi\) | |||||||
\(992\) | 1018.61 | − | 429.608i | 1.02682 | − | 0.433072i | ||||
\(993\) | 2378.02 | 2.39479 | ||||||||
\(994\) | 1166.19 | + | 1361.89i | 1.17323 | + | 1.37011i | ||||
\(995\) | − | 281.867i | − | 0.283283i | ||||||
\(996\) | −129.214 | + | 829.620i | −0.129733 | + | 0.832951i | ||||
\(997\) | 315.711 | 0.316661 | 0.158331 | − | 0.987386i | \(-0.449389\pi\) | ||||
0.158331 | + | 0.987386i | \(0.449389\pi\) | |||||||
\(998\) | −518.366 | + | 443.879i | −0.519405 | + | 0.444769i | ||||
\(999\) | 32.5714i | 0.0326040i |
(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 | 380.3.b.a.191.19 | ✓ | 72 | |
4.3 | odd | 2 | inner | 380.3.b.a.191.20 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
380.3.b.a.191.19 | ✓ | 72 | 1.1 | even | 1 | trivial | |
380.3.b.a.191.20 | yes | 72 | 4.3 | odd | 2 | inner |