Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 13.3 | ||
Character | \(\chi\) | \(=\) | 69.13 |
Dual form | 69.4.e.b.16.3 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{7}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.298405 | − | 0.344378i | −0.105502 | − | 0.121756i | 0.700543 | − | 0.713611i | \(-0.252941\pi\) |
−0.806045 | + | 0.591855i | \(0.798396\pi\) | |||||||
\(3\) | −2.52376 | − | 1.62192i | −0.485698 | − | 0.312139i | ||||
\(4\) | 1.10897 | − | 7.71304i | 0.138621 | − | 0.964130i | ||||
\(5\) | −4.80158 | + | 10.5140i | −0.429466 | + | 0.940400i | 0.563947 | + | 0.825811i | \(0.309282\pi\) |
−0.993413 | + | 0.114589i | \(0.963445\pi\) | |||||||
\(6\) | 0.194549 | + | 1.35312i | 0.0132374 | + | 0.0920680i | ||||
\(7\) | −20.2653 | − | 5.95042i | −1.09422 | − | 0.321293i | −0.315668 | − | 0.948870i | \(-0.602229\pi\) |
−0.778554 | + | 0.627577i | \(0.784047\pi\) | |||||||
\(8\) | −6.05385 | + | 3.89057i | −0.267545 | + | 0.171941i | ||||
\(9\) | 3.73874 | + | 8.18669i | 0.138472 | + | 0.303211i | ||||
\(10\) | 5.05360 | − | 1.48387i | 0.159809 | − | 0.0469242i | ||||
\(11\) | −10.2420 | + | 11.8199i | −0.280734 | + | 0.323984i | −0.878551 | − | 0.477648i | \(-0.841489\pi\) |
0.597817 | + | 0.801632i | \(0.296035\pi\) | |||||||
\(12\) | −15.3087 | + | 17.6672i | −0.368271 | + | 0.425007i | ||||
\(13\) | −59.6956 | + | 17.5282i | −1.27358 | + | 0.373958i | −0.847534 | − | 0.530742i | \(-0.821913\pi\) |
−0.426050 | + | 0.904700i | \(0.640095\pi\) | |||||||
\(14\) | 3.99807 | + | 8.75456i | 0.0763236 | + | 0.167125i | ||||
\(15\) | 29.1709 | − | 18.7470i | 0.502127 | − | 0.322697i | ||||
\(16\) | −56.6674 | − | 16.6390i | −0.885428 | − | 0.259985i | ||||
\(17\) | −11.6209 | − | 80.8250i | −0.165793 | − | 1.15311i | −0.887464 | − | 0.460878i | \(-0.847535\pi\) |
0.721671 | − | 0.692237i | \(-0.243374\pi\) | |||||||
\(18\) | 1.70366 | − | 3.73049i | 0.0223087 | − | 0.0488492i | ||||
\(19\) | 2.24944 | − | 15.6452i | 0.0271609 | − | 0.188908i | −0.971724 | − | 0.236120i | \(-0.924124\pi\) |
0.998885 | + | 0.0472112i | \(0.0150334\pi\) | |||||||
\(20\) | 75.7701 | + | 48.6945i | 0.847135 | + | 0.544421i | ||||
\(21\) | 41.4936 | + | 47.8862i | 0.431174 | + | 0.497601i | ||||
\(22\) | 7.12676 | 0.0690650 | ||||||||
\(23\) | 73.5487 | − | 82.2046i | 0.666781 | − | 0.745254i | ||||
\(24\) | 21.5887 | 0.183615 | ||||||||
\(25\) | −5.63127 | − | 6.49883i | −0.0450502 | − | 0.0519907i | ||||
\(26\) | 23.8498 | + | 15.3273i | 0.179897 | + | 0.115613i | ||||
\(27\) | 3.84250 | − | 26.7252i | 0.0273885 | − | 0.190491i | ||||
\(28\) | −68.3694 | + | 149.708i | −0.461450 | + | 1.01044i | ||||
\(29\) | 17.8045 | + | 123.833i | 0.114007 | + | 0.792937i | 0.963954 | + | 0.266069i | \(0.0857248\pi\) |
−0.849947 | + | 0.526868i | \(0.823366\pi\) | |||||||
\(30\) | −15.1608 | − | 4.45162i | −0.0922658 | − | 0.0270917i | ||||
\(31\) | 173.528 | − | 111.520i | 1.00537 | − | 0.646115i | 0.0691825 | − | 0.997604i | \(-0.477961\pi\) |
0.936192 | + | 0.351489i | \(0.114325\pi\) | |||||||
\(32\) | 35.0951 | + | 76.8475i | 0.193875 | + | 0.424526i | ||||
\(33\) | 45.0192 | − | 13.2188i | 0.237480 | − | 0.0697304i | ||||
\(34\) | −24.3666 | + | 28.1206i | −0.122907 | + | 0.141842i | ||||
\(35\) | 159.868 | − | 184.498i | 0.772075 | − | 0.891022i | ||||
\(36\) | 67.2904 | − | 19.7582i | 0.311530 | − | 0.0914734i | ||||
\(37\) | −152.721 | − | 334.412i | −0.678572 | − | 1.48586i | −0.864150 | − | 0.503235i | \(-0.832143\pi\) |
0.185578 | − | 0.982630i | \(-0.440584\pi\) | |||||||
\(38\) | −6.05911 | + | 3.89396i | −0.0258663 | + | 0.0166232i | ||||
\(39\) | 179.087 | + | 52.5846i | 0.735304 | + | 0.215905i | ||||
\(40\) | −11.8374 | − | 82.3310i | −0.0467915 | − | 0.325442i | ||||
\(41\) | −130.360 | + | 285.448i | −0.496555 | + | 1.08730i | 0.481018 | + | 0.876711i | \(0.340267\pi\) |
−0.977574 | + | 0.210594i | \(0.932460\pi\) | |||||||
\(42\) | 4.10904 | − | 28.5790i | 0.0150961 | − | 0.104996i | ||||
\(43\) | −314.425 | − | 202.069i | −1.11510 | − | 0.716633i | −0.152703 | − | 0.988272i | \(-0.548798\pi\) |
−0.962399 | + | 0.271639i | \(0.912434\pi\) | |||||||
\(44\) | 79.8091 | + | 92.1046i | 0.273447 | + | 0.315575i | ||||
\(45\) | −104.027 | −0.344608 | ||||||||
\(46\) | −50.2568 | − | 0.798267i | −0.161086 | − | 0.00255865i | ||||
\(47\) | 257.004 | 0.797615 | 0.398807 | − | 0.917035i | \(-0.369424\pi\) | ||||
0.398807 | + | 0.917035i | \(0.369424\pi\) | |||||||
\(48\) | 116.028 | + | 133.903i | 0.348899 | + | 0.402651i | ||||
\(49\) | 86.7242 | + | 55.7342i | 0.252840 | + | 0.162491i | ||||
\(50\) | −0.557655 | + | 3.87857i | −0.00157729 | + | 0.0109703i | ||||
\(51\) | −101.764 | + | 222.831i | −0.279407 | + | 0.611816i | ||||
\(52\) | 68.9953 | + | 479.873i | 0.183999 | + | 1.27974i | ||||
\(53\) | −390.123 | − | 114.550i | −1.01108 | − | 0.296881i | −0.266088 | − | 0.963949i | \(-0.585731\pi\) |
−0.744997 | + | 0.667068i | \(0.767549\pi\) | |||||||
\(54\) | −10.3502 | + | 6.65166i | −0.0260830 | + | 0.0167625i | ||||
\(55\) | −75.0963 | − | 164.438i | −0.184109 | − | 0.403142i | ||||
\(56\) | 145.833 | − | 42.8206i | 0.347997 | − | 0.102181i | ||||
\(57\) | −31.0524 | + | 35.8364i | −0.0721577 | + | 0.0832744i | ||||
\(58\) | 37.3323 | − | 43.0838i | 0.0845168 | − | 0.0975376i | ||||
\(59\) | −592.084 | + | 173.851i | −1.30649 | + | 0.383619i | −0.859598 | − | 0.510970i | \(-0.829286\pi\) |
−0.446889 | + | 0.894590i | \(0.647468\pi\) | |||||||
\(60\) | −112.247 | − | 245.786i | −0.241517 | − | 0.528848i | ||||
\(61\) | 165.881 | − | 106.605i | 0.348178 | − | 0.223761i | −0.354849 | − | 0.934924i | \(-0.615468\pi\) |
0.703027 | + | 0.711163i | \(0.251831\pi\) | |||||||
\(62\) | −90.1868 | − | 26.4812i | −0.184738 | − | 0.0542439i | ||||
\(63\) | −27.0523 | − | 188.153i | −0.0540994 | − | 0.376270i | ||||
\(64\) | −180.282 | + | 394.763i | −0.352114 | + | 0.771022i | ||||
\(65\) | 102.342 | − | 711.802i | 0.195291 | − | 1.35828i | ||||
\(66\) | −17.9862 | − | 11.5591i | −0.0335447 | − | 0.0215579i | ||||
\(67\) | 7.06359 | + | 8.15181i | 0.0128799 | + | 0.0148642i | 0.762153 | − | 0.647397i | \(-0.224142\pi\) |
−0.749273 | + | 0.662261i | \(0.769597\pi\) | |||||||
\(68\) | −636.294 | −1.13474 | ||||||||
\(69\) | −318.949 | + | 88.1744i | −0.556477 | + | 0.153840i | ||||
\(70\) | −111.242 | −0.189943 | ||||||||
\(71\) | −25.2838 | − | 29.1791i | −0.0422625 | − | 0.0487735i | 0.734225 | − | 0.678906i | \(-0.237546\pi\) |
−0.776487 | + | 0.630133i | \(0.783000\pi\) | |||||||
\(72\) | −54.4846 | − | 35.0151i | −0.0891816 | − | 0.0573135i | ||||
\(73\) | −76.3840 | + | 531.262i | −0.122467 | + | 0.851775i | 0.832280 | + | 0.554355i | \(0.187035\pi\) |
−0.954747 | + | 0.297420i | \(0.903874\pi\) | |||||||
\(74\) | −69.5914 | + | 152.384i | −0.109322 | + | 0.239382i | ||||
\(75\) | 3.67138 | + | 25.5350i | 0.00565246 | + | 0.0393137i | ||||
\(76\) | −118.178 | − | 34.7001i | −0.178367 | − | 0.0523733i | ||||
\(77\) | 277.890 | − | 178.589i | 0.411279 | − | 0.264313i | ||||
\(78\) | −35.3315 | − | 77.3651i | −0.0512885 | − | 0.112306i | ||||
\(79\) | 139.643 | − | 41.0027i | 0.198874 | − | 0.0583945i | −0.180779 | − | 0.983524i | \(-0.557862\pi\) |
0.379652 | + | 0.925129i | \(0.376044\pi\) | |||||||
\(80\) | 447.036 | − | 515.907i | 0.624751 | − | 0.721001i | ||||
\(81\) | −53.0437 | + | 61.2157i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 137.202 | − | 40.2862i | 0.184774 | − | 0.0542544i | ||||
\(83\) | 604.026 | + | 1322.63i | 0.798801 | + | 1.74913i | 0.649532 | + | 0.760335i | \(0.274965\pi\) |
0.149270 | + | 0.988797i | \(0.452308\pi\) | |||||||
\(84\) | 415.363 | − | 266.938i | 0.539522 | − | 0.346730i | ||||
\(85\) | 905.592 | + | 265.906i | 1.15559 | + | 0.339312i | ||||
\(86\) | 24.2381 | + | 168.580i | 0.0303914 | + | 0.211377i | ||||
\(87\) | 155.913 | − | 341.402i | 0.192134 | − | 0.420714i | ||||
\(88\) | 16.0173 | − | 111.403i | 0.0194028 | − | 0.134950i | ||||
\(89\) | −47.5083 | − | 30.5317i | −0.0565828 | − | 0.0363635i | 0.512044 | − | 0.858959i | \(-0.328889\pi\) |
−0.568626 | + | 0.822596i | \(0.692525\pi\) | |||||||
\(90\) | 31.0421 | + | 35.8245i | 0.0363569 | + | 0.0419581i | ||||
\(91\) | 1314.05 | 1.51373 | ||||||||
\(92\) | −552.484 | − | 658.446i | −0.626092 | − | 0.746171i | ||||
\(93\) | −618.821 | −0.689986 | ||||||||
\(94\) | −76.6914 | − | 88.5066i | −0.0841501 | − | 0.0971144i | ||||
\(95\) | 153.693 | + | 98.7723i | 0.165985 | + | 0.106672i | ||||
\(96\) | 36.0691 | − | 250.866i | 0.0383467 | − | 0.266707i | ||||
\(97\) | −200.913 | + | 439.938i | −0.210305 | + | 0.460504i | −0.985161 | − | 0.171634i | \(-0.945095\pi\) |
0.774855 | + | 0.632138i | \(0.217823\pi\) | |||||||
\(98\) | −6.68530 | − | 46.4973i | −0.00689099 | − | 0.0479279i | ||||
\(99\) | −135.058 | − | 39.6565i | −0.137109 | − | 0.0402589i | ||||
\(100\) | −56.3707 | + | 36.2272i | −0.0563707 | + | 0.0362272i | ||||
\(101\) | 65.0177 | + | 142.369i | 0.0640545 | + | 0.140260i | 0.938952 | − | 0.344049i | \(-0.111799\pi\) |
−0.874897 | + | 0.484308i | \(0.839071\pi\) | |||||||
\(102\) | 107.105 | − | 31.4489i | 0.103970 | − | 0.0305284i | ||||
\(103\) | 987.049 | − | 1139.12i | 0.944241 | − | 1.08971i | −0.0516057 | − | 0.998668i | \(-0.516434\pi\) |
0.995847 | − | 0.0910447i | \(-0.0290206\pi\) | |||||||
\(104\) | 293.193 | − | 338.363i | 0.276442 | − | 0.319031i | ||||
\(105\) | −702.710 | + | 206.334i | −0.653118 | + | 0.191773i | ||||
\(106\) | 76.9661 | + | 168.532i | 0.0705246 | + | 0.154427i | ||||
\(107\) | 112.773 | − | 72.4745i | 0.101889 | − | 0.0654802i | −0.488704 | − | 0.872450i | \(-0.662530\pi\) |
0.590593 | + | 0.806969i | \(0.298894\pi\) | |||||||
\(108\) | −201.871 | − | 59.2747i | −0.179862 | − | 0.0528122i | ||||
\(109\) | −159.432 | − | 1108.88i | −0.140100 | − | 0.974414i | −0.931662 | − | 0.363326i | \(-0.881641\pi\) |
0.791563 | − | 0.611088i | \(-0.209268\pi\) | |||||||
\(110\) | −34.2197 | + | 74.9307i | −0.0296611 | + | 0.0649488i | ||||
\(111\) | −156.959 | + | 1091.68i | −0.134216 | + | 0.933490i | ||||
\(112\) | 1049.37 | + | 674.390i | 0.885324 | + | 0.568963i | ||||
\(113\) | −1362.92 | − | 1572.90i | −1.13463 | − | 1.30943i | −0.944812 | − | 0.327612i | \(-0.893756\pi\) |
−0.189816 | − | 0.981820i | \(-0.560789\pi\) | |||||||
\(114\) | 21.6074 | 0.0177520 | ||||||||
\(115\) | 511.149 | + | 1168.00i | 0.414477 | + | 0.947102i | ||||
\(116\) | 974.872 | 0.780298 | ||||||||
\(117\) | −366.684 | − | 423.176i | −0.289743 | − | 0.334381i | ||||
\(118\) | 236.552 | + | 152.022i | 0.184545 | + | 0.118600i | ||||
\(119\) | −245.443 | + | 1707.09i | −0.189073 | + | 1.31503i | ||||
\(120\) | −103.660 | + | 226.983i | −0.0788566 | + | 0.172672i | ||||
\(121\) | 154.610 | + | 1075.33i | 0.116161 | + | 0.807915i | ||||
\(122\) | −86.2123 | − | 25.3142i | −0.0639778 | − | 0.0187856i | ||||
\(123\) | 791.971 | − | 508.969i | 0.580566 | − | 0.373107i | ||||
\(124\) | −667.720 | − | 1462.10i | −0.483573 | − | 1.05888i | ||||
\(125\) | −1290.92 | + | 379.049i | −0.923708 | + | 0.271225i | ||||
\(126\) | −56.7231 | + | 65.4619i | −0.0401055 | + | 0.0462842i | ||||
\(127\) | 116.916 | − | 134.928i | 0.0816898 | − | 0.0942751i | −0.713433 | − | 0.700723i | \(-0.752861\pi\) |
0.795123 | + | 0.606448i | \(0.207406\pi\) | |||||||
\(128\) | 838.224 | − | 246.125i | 0.578822 | − | 0.169957i | ||||
\(129\) | 465.794 | + | 1019.95i | 0.317914 | + | 0.696134i | ||||
\(130\) | −275.668 | + | 177.161i | −0.185982 | + | 0.119524i | ||||
\(131\) | 769.558 | + | 225.963i | 0.513257 | + | 0.150706i | 0.528097 | − | 0.849184i | \(-0.322906\pi\) |
−0.0148403 | + | 0.999890i | \(0.504724\pi\) | |||||||
\(132\) | −52.0325 | − | 361.894i | −0.0343095 | − | 0.238628i | ||||
\(133\) | −138.681 | + | 303.670i | −0.0904149 | + | 0.197981i | ||||
\(134\) | 0.699494 | − | 4.86509i | 0.000450948 | − | 0.00313642i | ||||
\(135\) | 262.538 | + | 168.723i | 0.167376 | + | 0.107566i | ||||
\(136\) | 384.807 | + | 444.090i | 0.242624 | + | 0.280003i | ||||
\(137\) | −1481.41 | −0.923836 | −0.461918 | − | 0.886923i | \(-0.652839\pi\) | ||||
−0.461918 | + | 0.886923i | \(0.652839\pi\) | |||||||
\(138\) | 125.541 | + | 83.5272i | 0.0774405 | + | 0.0515240i | ||||
\(139\) | −2884.73 | −1.76029 | −0.880144 | − | 0.474708i | \(-0.842554\pi\) | ||||
−0.880144 | + | 0.474708i | \(0.842554\pi\) | |||||||
\(140\) | −1245.75 | − | 1437.67i | −0.752036 | − | 0.867896i | ||||
\(141\) | −648.617 | − | 416.841i | −0.387400 | − | 0.248967i | ||||
\(142\) | −2.50381 | + | 17.4144i | −0.00147968 | + | 0.0102914i | ||||
\(143\) | 404.220 | − | 885.118i | 0.236381 | − | 0.517603i | ||||
\(144\) | −75.6457 | − | 526.127i | −0.0437764 | − | 0.304472i | ||||
\(145\) | −1387.47 | − | 407.397i | −0.794640 | − | 0.233327i | ||||
\(146\) | 205.748 | − | 132.227i | 0.116629 | − | 0.0749531i | ||||
\(147\) | −128.474 | − | 281.320i | −0.0720843 | − | 0.157843i | ||||
\(148\) | −2748.70 | + | 807.090i | −1.52663 | + | 0.448259i | ||||
\(149\) | 984.967 | − | 1136.71i | 0.541555 | − | 0.624988i | −0.417340 | − | 0.908751i | \(-0.637037\pi\) |
0.958894 | + | 0.283763i | \(0.0915829\pi\) | |||||||
\(150\) | 7.69813 | − | 8.88412i | 0.00419033 | − | 0.00483590i | ||||
\(151\) | 2435.43 | − | 715.106i | 1.31253 | − | 0.385394i | 0.450740 | − | 0.892655i | \(-0.351160\pi\) |
0.861792 | + | 0.507261i | \(0.169342\pi\) | |||||||
\(152\) | 47.2510 | + | 103.465i | 0.0252142 | + | 0.0552115i | ||||
\(153\) | 618.242 | − | 397.320i | 0.326679 | − | 0.209944i | ||||
\(154\) | −144.426 | − | 42.4073i | −0.0755725 | − | 0.0221901i | ||||
\(155\) | 339.309 | + | 2359.95i | 0.175832 | + | 1.22294i | ||||
\(156\) | 604.189 | − | 1322.99i | 0.310089 | − | 0.679000i | ||||
\(157\) | −112.741 | + | 784.134i | −0.0573105 | + | 0.398603i | 0.940894 | + | 0.338702i | \(0.109988\pi\) |
−0.998204 | + | 0.0599015i | \(0.980921\pi\) | |||||||
\(158\) | −55.7905 | − | 35.8544i | −0.0280915 | − | 0.0180533i | ||||
\(159\) | 798.785 | + | 921.847i | 0.398414 | + | 0.459794i | ||||
\(160\) | −976.486 | −0.482487 | ||||||||
\(161\) | −1979.64 | + | 1228.25i | −0.969051 | + | 0.601242i | ||||
\(162\) | 36.9099 | 0.0179007 | ||||||||
\(163\) | −2501.62 | − | 2887.03i | −1.20210 | − | 1.38730i | −0.901065 | − | 0.433684i | \(-0.857213\pi\) |
−0.301035 | − | 0.953613i | \(-0.597332\pi\) | |||||||
\(164\) | 2057.11 | + | 1322.02i | 0.979471 | + | 0.629468i | ||||
\(165\) | −77.1806 | + | 536.803i | −0.0364151 | + | 0.253273i | ||||
\(166\) | 275.241 | − | 602.694i | 0.128692 | − | 0.281796i | ||||
\(167\) | 307.337 | + | 2137.57i | 0.142410 | + | 0.990482i | 0.928225 | + | 0.372020i | \(0.121335\pi\) |
−0.785815 | + | 0.618462i | \(0.787756\pi\) | |||||||
\(168\) | −437.500 | − | 128.462i | −0.200916 | − | 0.0589943i | ||||
\(169\) | 1408.09 | − | 904.927i | 0.640917 | − | 0.411892i | ||||
\(170\) | −178.661 | − | 391.214i | −0.0806041 | − | 0.176498i | ||||
\(171\) | 136.493 | − | 40.0778i | 0.0610400 | − | 0.0179230i | ||||
\(172\) | −1907.25 | + | 2201.09i | −0.845504 | + | 0.975764i | ||||
\(173\) | −2471.16 | + | 2851.87i | −1.08600 | + | 1.25332i | −0.120560 | + | 0.992706i | \(0.538469\pi\) |
−0.965444 | + | 0.260609i | \(0.916077\pi\) | |||||||
\(174\) | −164.096 | + | 48.1831i | −0.0714950 | + | 0.0209928i | ||||
\(175\) | 75.4485 | + | 165.209i | 0.0325907 | + | 0.0713637i | ||||
\(176\) | 777.057 | − | 499.384i | 0.332800 | − | 0.213878i | ||||
\(177\) | 1776.25 | + | 521.554i | 0.754301 | + | 0.221483i | ||||
\(178\) | 3.66227 | + | 25.4716i | 0.00154213 | + | 0.0107257i | ||||
\(179\) | 958.834 | − | 2099.55i | 0.400372 | − | 0.876692i | −0.596860 | − | 0.802345i | \(-0.703585\pi\) |
0.997232 | − | 0.0743473i | \(-0.0236873\pi\) | |||||||
\(180\) | −115.362 | + | 802.362i | −0.0477699 | + | 0.332247i | ||||
\(181\) | 1009.25 | + | 648.606i | 0.414459 | + | 0.266357i | 0.731210 | − | 0.682152i | \(-0.238956\pi\) |
−0.316752 | + | 0.948509i | \(0.602592\pi\) | |||||||
\(182\) | −392.119 | − | 452.530i | −0.159702 | − | 0.184306i | ||||
\(183\) | −591.549 | −0.238954 | ||||||||
\(184\) | −125.430 | + | 783.800i | −0.0502543 | + | 0.314035i | ||||
\(185\) | 4249.31 | 1.68873 | ||||||||
\(186\) | 184.659 | + | 213.108i | 0.0727951 | + | 0.0840100i | ||||
\(187\) | 1074.36 | + | 690.450i | 0.420134 | + | 0.270004i | ||||
\(188\) | 285.009 | − | 1982.28i | 0.110566 | − | 0.769005i | ||||
\(189\) | −236.896 | + | 518.729i | −0.0911726 | + | 0.199640i | ||||
\(190\) | −11.8477 | − | 82.4026i | −0.00452381 | − | 0.0314638i | ||||
\(191\) | −2169.81 | − | 637.113i | −0.821999 | − | 0.241361i | −0.156422 | − | 0.987690i | \(-0.549996\pi\) |
−0.665577 | + | 0.746330i | \(0.731814\pi\) | |||||||
\(192\) | 1095.26 | − | 703.884i | 0.411687 | − | 0.264575i | ||||
\(193\) | −1520.31 | − | 3329.02i | −0.567019 | − | 1.24160i | −0.948370 | − | 0.317168i | \(-0.897268\pi\) |
0.381351 | − | 0.924430i | \(-0.375459\pi\) | |||||||
\(194\) | 211.458 | − | 62.0898i | 0.0782569 | − | 0.0229783i | ||||
\(195\) | −1412.77 | + | 1630.43i | −0.518825 | + | 0.598756i | ||||
\(196\) | 526.055 | − | 607.100i | 0.191711 | − | 0.221246i | ||||
\(197\) | 4017.55 | − | 1179.66i | 1.45299 | − | 0.426636i | 0.542460 | − | 0.840082i | \(-0.317493\pi\) |
0.910529 | + | 0.413446i | \(0.135675\pi\) | |||||||
\(198\) | 26.6451 | + | 58.3446i | 0.00956355 | + | 0.0209413i | ||||
\(199\) | 3733.79 | − | 2399.56i | 1.33006 | − | 0.854776i | 0.333921 | − | 0.942601i | \(-0.391628\pi\) |
0.996136 | + | 0.0878255i | \(0.0279918\pi\) | |||||||
\(200\) | 59.3750 | + | 17.4341i | 0.0209922 | + | 0.00616388i | ||||
\(201\) | −4.60519 | − | 32.0298i | −0.00161605 | − | 0.0112398i | ||||
\(202\) | 29.6271 | − | 64.8743i | 0.0103196 | − | 0.0225967i | ||||
\(203\) | 376.045 | − | 2615.45i | 0.130016 | − | 0.904279i | ||||
\(204\) | 1605.85 | + | 1032.02i | 0.551138 | + | 0.354195i | ||||
\(205\) | −2375.27 | − | 2741.20i | −0.809248 | − | 0.933922i | ||||
\(206\) | −686.827 | −0.232299 | ||||||||
\(207\) | 947.962 | + | 294.779i | 0.318299 | + | 0.0989785i | ||||
\(208\) | 3674.45 | 1.22489 | ||||||||
\(209\) | 161.886 | + | 186.826i | 0.0535783 | + | 0.0618326i | ||||
\(210\) | 280.749 | + | 180.427i | 0.0922549 | + | 0.0592886i | ||||
\(211\) | −149.972 | + | 1043.08i | −0.0489313 | + | 0.340325i | 0.950620 | + | 0.310358i | \(0.100449\pi\) |
−0.999551 | + | 0.0299663i | \(0.990460\pi\) | |||||||
\(212\) | −1316.17 | + | 2882.00i | −0.426390 | + | 0.933664i | ||||
\(213\) | 16.4841 | + | 114.649i | 0.00530268 | + | 0.0368810i | ||||
\(214\) | −58.6106 | − | 17.2096i | −0.0187221 | − | 0.00549731i | ||||
\(215\) | 3634.29 | − | 2335.62i | 1.15282 | − | 0.740873i | ||||
\(216\) | 80.7143 | + | 176.740i | 0.0254255 | + | 0.0556741i | ||||
\(217\) | −4180.19 | + | 1227.41i | −1.30770 | + | 0.383974i | ||||
\(218\) | −334.297 | + | 385.800i | −0.103860 | + | 0.119861i | ||||
\(219\) | 1054.44 | − | 1216.89i | 0.325354 | − | 0.375479i | ||||
\(220\) | −1351.60 | + | 396.865i | −0.414203 | + | 0.121621i | ||||
\(221\) | 2110.43 | + | 4621.21i | 0.642367 | + | 1.40659i | ||||
\(222\) | 422.787 | − | 271.709i | 0.127818 | − | 0.0821437i | ||||
\(223\) | −1918.03 | − | 563.185i | −0.575968 | − | 0.169119i | −0.0192408 | − | 0.999815i | \(-0.506125\pi\) |
−0.556727 | + | 0.830695i | \(0.687943\pi\) | |||||||
\(224\) | −253.936 | − | 1766.17i | −0.0757448 | − | 0.526817i | ||||
\(225\) | 32.1501 | − | 70.3989i | 0.00952595 | − | 0.0208589i | ||||
\(226\) | −134.968 | + | 938.722i | −0.0397253 | + | 0.276296i | ||||
\(227\) | 2635.65 | + | 1693.83i | 0.770635 | + | 0.495257i | 0.865914 | − | 0.500193i | \(-0.166738\pi\) |
−0.0952784 | + | 0.995451i | \(0.530374\pi\) | |||||||
\(228\) | 241.971 | + | 279.250i | 0.0702848 | + | 0.0811130i | ||||
\(229\) | 1396.83 | 0.403078 | 0.201539 | − | 0.979480i | \(-0.435406\pi\) | ||||
0.201539 | + | 0.979480i | \(0.435406\pi\) | |||||||
\(230\) | 249.705 | − | 524.566i | 0.0715872 | − | 0.150386i | ||||
\(231\) | −990.984 | −0.282260 | ||||||||
\(232\) | −589.566 | − | 680.395i | −0.166840 | − | 0.192544i | ||||
\(233\) | −5715.20 | − | 3672.94i | −1.60693 | − | 1.03271i | −0.963680 | − | 0.267059i | \(-0.913948\pi\) |
−0.643253 | − | 0.765654i | \(-0.722416\pi\) | |||||||
\(234\) | −36.3121 | + | 252.556i | −0.0101444 | + | 0.0705560i | ||||
\(235\) | −1234.03 | + | 2702.14i | −0.342549 | + | 0.750077i | ||||
\(236\) | 684.322 | + | 4759.56i | 0.188752 | + | 1.31280i | ||||
\(237\) | −418.928 | − | 123.008i | −0.114820 | − | 0.0337141i | ||||
\(238\) | 661.126 | − | 424.880i | 0.180061 | − | 0.115718i | ||||
\(239\) | 730.934 | + | 1600.52i | 0.197825 | + | 0.433177i | 0.982383 | − | 0.186879i | \(-0.0598372\pi\) |
−0.784558 | + | 0.620056i | \(0.787110\pi\) | |||||||
\(240\) | −1964.97 | + | 576.968i | −0.528493 | + | 0.155180i | ||||
\(241\) | −234.547 | + | 270.682i | −0.0626910 | + | 0.0723492i | −0.786229 | − | 0.617935i | \(-0.787969\pi\) |
0.723538 | + | 0.690285i | \(0.242515\pi\) | |||||||
\(242\) | 324.185 | − | 374.130i | 0.0861133 | − | 0.0993801i | ||||
\(243\) | 233.157 | − | 68.4610i | 0.0615515 | − | 0.0180732i | ||||
\(244\) | −638.294 | − | 1397.67i | −0.167470 | − | 0.366707i | ||||
\(245\) | −1002.40 | + | 644.205i | −0.261392 | + | 0.167987i | ||||
\(246\) | −411.606 | − | 120.859i | −0.106679 | − | 0.0313238i | ||||
\(247\) | 139.951 | + | 973.379i | 0.0360521 | + | 0.250748i | ||||
\(248\) | −616.638 | + | 1350.25i | −0.157889 | + | 0.345729i | ||||
\(249\) | 620.791 | − | 4317.69i | 0.157996 | − | 1.09889i | ||||
\(250\) | 515.754 | + | 331.455i | 0.130477 | + | 0.0838522i | ||||
\(251\) | −3911.26 | − | 4513.83i | −0.983571 | − | 1.13510i | −0.990828 | − | 0.135127i | \(-0.956856\pi\) |
0.00725756 | − | 0.999974i | \(-0.497690\pi\) | |||||||
\(252\) | −1481.23 | −0.370273 | ||||||||
\(253\) | 218.364 | + | 1711.27i | 0.0542625 | + | 0.425244i | ||||
\(254\) | −81.3546 | −0.0200970 | ||||||||
\(255\) | −1854.22 | − | 2139.88i | −0.455356 | − | 0.525508i | ||||
\(256\) | 2585.81 | + | 1661.80i | 0.631302 | + | 0.405713i | ||||
\(257\) | 336.316 | − | 2339.13i | 0.0816296 | − | 0.567746i | −0.907427 | − | 0.420210i | \(-0.861956\pi\) |
0.989057 | − | 0.147537i | \(-0.0471344\pi\) | |||||||
\(258\) | 212.252 | − | 464.767i | 0.0512179 | − | 0.112152i | ||||
\(259\) | 1105.04 | + | 7685.71i | 0.265111 | + | 1.84389i | ||||
\(260\) | −5376.67 | − | 1578.73i | −1.28249 | − | 0.376572i | ||||
\(261\) | −947.214 | + | 608.737i | −0.224640 | + | 0.144367i | ||||
\(262\) | −151.824 | − | 332.447i | −0.0358004 | − | 0.0783919i | ||||
\(263\) | −2764.33 | + | 811.680i | −0.648121 | + | 0.190305i | −0.589238 | − | 0.807959i | \(-0.700572\pi\) |
−0.0588827 | + | 0.998265i | \(0.518754\pi\) | |||||||
\(264\) | −221.111 | + | 255.175i | −0.0515470 | + | 0.0594884i | ||||
\(265\) | 3077.59 | − | 3551.73i | 0.713414 | − | 0.823324i | ||||
\(266\) | 145.960 | − | 42.8578i | 0.0336444 | − | 0.00987888i | ||||
\(267\) | 70.3794 | + | 154.109i | 0.0161317 | + | 0.0353234i | ||||
\(268\) | 70.7086 | − | 45.4416i | 0.0161165 | − | 0.0103574i | ||||
\(269\) | −3128.53 | − | 918.618i | −0.709106 | − | 0.208212i | −0.0927609 | − | 0.995688i | \(-0.529569\pi\) |
−0.616345 | + | 0.787476i | \(0.711387\pi\) | |||||||
\(270\) | −20.2383 | − | 140.760i | −0.00456171 | − | 0.0317274i | ||||
\(271\) | 1139.26 | − | 2494.63i | 0.255369 | − | 0.559180i | −0.737913 | − | 0.674895i | \(-0.764189\pi\) |
0.993282 | + | 0.115715i | \(0.0369160\pi\) | |||||||
\(272\) | −686.326 | + | 4773.50i | −0.152995 | + | 1.06410i | ||||
\(273\) | −3316.34 | − | 2131.29i | −0.735217 | − | 0.472495i | ||||
\(274\) | 442.061 | + | 510.166i | 0.0974668 | + | 0.112483i | ||||
\(275\) | 134.491 | 0.0294913 | ||||||||
\(276\) | 326.389 | + | 2557.85i | 0.0711824 | + | 0.557842i | ||||
\(277\) | −1372.06 | −0.297615 | −0.148807 | − | 0.988866i | \(-0.547543\pi\) | ||||
−0.148807 | + | 0.988866i | \(0.547543\pi\) | |||||||
\(278\) | 860.820 | + | 993.439i | 0.185714 | + | 0.214326i | ||||
\(279\) | 1561.76 | + | 1003.68i | 0.335125 | + | 0.215372i | ||||
\(280\) | −250.016 | + | 1738.90i | −0.0533618 | + | 0.371139i | ||||
\(281\) | 62.4008 | − | 136.639i | 0.0132474 | − | 0.0290078i | −0.902893 | − | 0.429866i | \(-0.858561\pi\) |
0.916140 | + | 0.400858i | \(0.131288\pi\) | |||||||
\(282\) | 49.9999 | + | 347.757i | 0.0105583 | + | 0.0734348i | ||||
\(283\) | −4061.75 | − | 1192.64i | −0.853165 | − | 0.250512i | −0.174225 | − | 0.984706i | \(-0.555742\pi\) |
−0.678940 | + | 0.734194i | \(0.737560\pi\) | |||||||
\(284\) | −253.098 | + | 162.656i | −0.0528825 | + | 0.0339855i | ||||
\(285\) | −227.683 | − | 498.556i | −0.0473220 | − | 0.103621i | ||||
\(286\) | −425.436 | + | 124.919i | −0.0879601 | + | 0.0258274i | ||||
\(287\) | 4340.31 | − | 5008.99i | 0.892685 | − | 1.03021i | ||||
\(288\) | −497.915 | + | 574.625i | −0.101875 | + | 0.117570i | ||||
\(289\) | −1683.65 | + | 494.364i | −0.342693 | + | 0.100624i | ||||
\(290\) | 273.729 | + | 599.382i | 0.0554273 | + | 0.121369i | ||||
\(291\) | 1220.60 | − | 784.433i | 0.245886 | − | 0.158022i | ||||
\(292\) | 4012.94 | + | 1178.31i | 0.804245 | + | 0.236148i | ||||
\(293\) | −1054.55 | − | 7334.52i | −0.210263 | − | 1.46241i | −0.772277 | − | 0.635286i | \(-0.780882\pi\) |
0.562013 | − | 0.827128i | \(-0.310027\pi\) | |||||||
\(294\) | −58.5429 | + | 128.191i | −0.0116132 | + | 0.0254294i | ||||
\(295\) | 1015.06 | − | 7059.92i | 0.200337 | − | 1.39337i | ||||
\(296\) | 2225.60 | + | 1430.31i | 0.437029 | + | 0.280861i | ||||
\(297\) | 276.533 | + | 319.136i | 0.0540272 | + | 0.0623507i | ||||
\(298\) | −685.379 | −0.133231 | ||||||||
\(299\) | −2949.63 | + | 6196.43i | −0.570507 | + | 1.19849i | ||||
\(300\) | 201.024 | 0.0386871 | ||||||||
\(301\) | 5169.52 | + | 5965.95i | 0.989921 | + | 1.14243i | ||||
\(302\) | −973.012 | − | 625.317i | −0.185399 | − | 0.119149i | ||||
\(303\) | 66.8222 | − | 464.759i | 0.0126694 | − | 0.0881178i | ||||
\(304\) | −387.791 | + | 849.145i | −0.0731624 | + | 0.160203i | ||||
\(305\) | 324.356 | + | 2255.94i | 0.0608937 | + | 0.423525i | ||||
\(306\) | −321.315 | − | 94.3466i | −0.0600273 | − | 0.0176256i | ||||
\(307\) | 4562.70 | − | 2932.27i | 0.848231 | − | 0.545125i | −0.0427915 | − | 0.999084i | \(-0.513625\pi\) |
0.891023 | + | 0.453959i | \(0.149989\pi\) | |||||||
\(308\) | −1069.29 | − | 2341.42i | −0.197820 | − | 0.433166i | ||||
\(309\) | −4338.63 | + | 1273.94i | −0.798758 | + | 0.234536i | ||||
\(310\) | 711.462 | − | 821.071i | 0.130350 | − | 0.150431i | ||||
\(311\) | 3859.82 | − | 4454.47i | 0.703764 | − | 0.812187i | −0.285492 | − | 0.958381i | \(-0.592157\pi\) |
0.989256 | + | 0.146194i | \(0.0467025\pi\) | |||||||
\(312\) | −1288.75 | + | 378.411i | −0.233849 | + | 0.0686644i | ||||
\(313\) | 3481.69 | + | 7623.83i | 0.628743 | + | 1.37676i | 0.908986 | + | 0.416827i | \(0.136858\pi\) |
−0.280243 | + | 0.959929i | \(0.590415\pi\) | |||||||
\(314\) | 303.681 | − | 195.164i | 0.0545787 | − | 0.0350756i | ||||
\(315\) | 2108.13 | + | 619.002i | 0.377078 | + | 0.110720i | ||||
\(316\) | −161.397 | − | 1122.54i | −0.0287319 | − | 0.199835i | ||||
\(317\) | −3277.69 | + | 7177.15i | −0.580737 | + | 1.27164i | 0.360143 | + | 0.932897i | \(0.382728\pi\) |
−0.940880 | + | 0.338740i | \(0.889999\pi\) | |||||||
\(318\) | 79.1022 | − | 550.168i | 0.0139492 | − | 0.0970185i | ||||
\(319\) | −1646.04 | − | 1057.85i | −0.288904 | − | 0.185668i | ||||
\(320\) | −3284.90 | − | 3790.97i | −0.573848 | − | 0.662256i | ||||
\(321\) | −402.159 | −0.0699263 | ||||||||
\(322\) | 1013.72 | + | 315.226i | 0.175442 | + | 0.0545555i | ||||
\(323\) | −1290.67 | −0.222336 | ||||||||
\(324\) | 413.336 | + | 477.015i | 0.0708737 | + | 0.0817927i | ||||
\(325\) | 450.075 | + | 289.246i | 0.0768175 | + | 0.0493676i | ||||
\(326\) | −247.731 | + | 1723.01i | −0.0420876 | + | 0.292726i | ||||
\(327\) | −1396.14 | + | 3057.13i | −0.236107 | + | 0.517001i | ||||
\(328\) | −321.378 | − | 2235.23i | −0.0541010 | − | 0.376281i | ||||
\(329\) | −5208.26 | − | 1529.28i | −0.872768 | − | 0.256268i | ||||
\(330\) | 207.894 | − | 133.605i | 0.0346794 | − | 0.0222871i | ||||
\(331\) | 877.126 | + | 1920.64i | 0.145653 | + | 0.318936i | 0.968371 | − | 0.249514i | \(-0.0802707\pi\) |
−0.822718 | + | 0.568450i | \(0.807543\pi\) | |||||||
\(332\) | 10871.4 | − | 3192.12i | 1.79712 | − | 0.527682i | ||||
\(333\) | 2166.74 | − | 2500.56i | 0.356567 | − | 0.411500i | ||||
\(334\) | 644.423 | − | 743.703i | 0.105573 | − | 0.121837i | ||||
\(335\) | −119.624 | + | 35.1249i | −0.0195098 | + | 0.00572859i | ||||
\(336\) | −1554.55 | − | 3404.00i | −0.252404 | − | 0.552688i | ||||
\(337\) | 4563.95 | − | 2933.07i | 0.737727 | − | 0.474108i | −0.117035 | − | 0.993128i | \(-0.537339\pi\) |
0.854763 | + | 0.519019i | \(0.173703\pi\) | |||||||
\(338\) | −731.820 | − | 214.882i | −0.117768 | − | 0.0345799i | ||||
\(339\) | 888.575 | + | 6180.17i | 0.142362 | + | 0.990150i | ||||
\(340\) | 3055.22 | − | 6689.99i | 0.487330 | − | 1.06710i | ||||
\(341\) | −459.122 | + | 3193.27i | −0.0729116 | + | 0.507112i | ||||
\(342\) | −54.5320 | − | 35.0456i | −0.00862209 | − | 0.00554108i | ||||
\(343\) | 3318.25 | + | 3829.47i | 0.522358 | + | 0.602833i | ||||
\(344\) | 2689.65 | 0.421558 | ||||||||
\(345\) | 604.392 | − | 3776.80i | 0.0943170 | − | 0.589380i | ||||
\(346\) | 1719.53 | 0.267175 | ||||||||
\(347\) | 4533.64 | + | 5232.09i | 0.701378 | + | 0.809434i | 0.988938 | − | 0.148329i | \(-0.0473894\pi\) |
−0.287560 | + | 0.957763i | \(0.592844\pi\) | |||||||
\(348\) | −2460.34 | − | 1581.17i | −0.378989 | − | 0.243562i | ||||
\(349\) | −358.937 | + | 2496.46i | −0.0550529 | + | 0.382901i | 0.943603 | + | 0.331078i | \(0.107412\pi\) |
−0.998656 | + | 0.0518232i | \(0.983497\pi\) | |||||||
\(350\) | 34.3802 | − | 75.2821i | 0.00525057 | − | 0.0114971i | ||||
\(351\) | 239.064 | + | 1662.73i | 0.0363541 | + | 0.252849i | ||||
\(352\) | −1267.77 | − | 372.251i | −0.191967 | − | 0.0563666i | ||||
\(353\) | 6859.03 | − | 4408.03i | 1.03419 | − | 0.664634i | 0.0906472 | − | 0.995883i | \(-0.471106\pi\) |
0.943543 | + | 0.331249i | \(0.107470\pi\) | |||||||
\(354\) | −350.431 | − | 767.336i | −0.0526135 | − | 0.115208i | ||||
\(355\) | 428.191 | − | 125.728i | 0.0640169 | − | 0.0187971i | ||||
\(356\) | −288.178 | + | 332.575i | −0.0429027 | + | 0.0495124i | ||||
\(357\) | 3388.21 | − | 3910.20i | 0.502305 | − | 0.579691i | ||||
\(358\) | −1009.16 | + | 296.316i | −0.148983 | + | 0.0437453i | ||||
\(359\) | −413.379 | − | 905.174i | −0.0607725 | − | 0.133073i | 0.876809 | − | 0.480839i | \(-0.159668\pi\) |
−0.937582 | + | 0.347766i | \(0.886940\pi\) | |||||||
\(360\) | 629.761 | − | 404.723i | 0.0921981 | − | 0.0592521i | ||||
\(361\) | 6341.45 | + | 1862.02i | 0.924544 | + | 0.271471i | ||||
\(362\) | −77.8001 | − | 541.112i | −0.0112958 | − | 0.0785641i | ||||
\(363\) | 1353.91 | − | 2964.65i | 0.195763 | − | 0.428661i | ||||
\(364\) | 1457.24 | − | 10135.3i | 0.209835 | − | 1.45944i | ||||
\(365\) | −5218.92 | − | 3354.00i | −0.748414 | − | 0.480976i | ||||
\(366\) | 176.521 | + | 203.717i | 0.0252102 | + | 0.0290941i | ||||
\(367\) | −8115.03 | −1.15423 | −0.577113 | − | 0.816664i | \(-0.695821\pi\) | ||||
−0.577113 | + | 0.816664i | \(0.695821\pi\) | |||||||
\(368\) | −5535.62 | + | 3434.54i | −0.784141 | + | 0.486515i | ||||
\(369\) | −2824.25 | −0.398441 | ||||||||
\(370\) | −1268.02 | − | 1463.37i | −0.178165 | − | 0.205613i | ||||
\(371\) | 7224.33 | + | 4642.79i | 1.01097 | + | 0.649708i | ||||
\(372\) | −686.252 | + | 4772.99i | −0.0956466 | + | 0.665237i | ||||
\(373\) | −3875.90 | + | 8487.03i | −0.538033 | + | 1.17813i | 0.424117 | + | 0.905608i | \(0.360585\pi\) |
−0.962150 | + | 0.272521i | \(0.912143\pi\) | |||||||
\(374\) | −82.8193 | − | 576.021i | −0.0114505 | − | 0.0796399i | ||||
\(375\) | 3872.76 | + | 1137.15i | 0.533303 | + | 0.156592i | ||||
\(376\) | −1555.86 | + | 999.893i | −0.213398 | + | 0.137142i | ||||
\(377\) | −3233.42 | − | 7080.19i | −0.441722 | − | 0.967237i | ||||
\(378\) | 249.330 | − | 73.2098i | 0.0339263 | − | 0.00996166i | ||||
\(379\) | −2829.44 | + | 3265.35i | −0.383479 | + | 0.442559i | −0.914369 | − | 0.404882i | \(-0.867312\pi\) |
0.530890 | + | 0.847441i | \(0.321858\pi\) | |||||||
\(380\) | 932.276 | − | 1075.90i | 0.125855 | − | 0.145244i | ||||
\(381\) | −513.911 | + | 150.898i | −0.0691035 | + | 0.0202906i | ||||
\(382\) | 428.074 | + | 937.352i | 0.0573356 | + | 0.125547i | ||||
\(383\) | −1683.59 | + | 1081.98i | −0.224615 | + | 0.144351i | −0.648109 | − | 0.761548i | \(-0.724440\pi\) |
0.423494 | + | 0.905899i | \(0.360804\pi\) | |||||||
\(384\) | −2514.67 | − | 738.374i | −0.334183 | − | 0.0981250i | ||||
\(385\) | 543.372 | + | 3779.24i | 0.0719294 | + | 0.500280i | ||||
\(386\) | −692.773 | + | 1516.96i | −0.0913503 | + | 0.200029i | ||||
\(387\) | 478.722 | − | 3329.58i | 0.0628806 | − | 0.437344i | ||||
\(388\) | 3170.45 | + | 2037.53i | 0.414834 | + | 0.266597i | ||||
\(389\) | 4778.42 | + | 5514.59i | 0.622816 | + | 0.718768i | 0.976239 | − | 0.216695i | \(-0.0695278\pi\) |
−0.353423 | + | 0.935464i | \(0.614982\pi\) | |||||||
\(390\) | 983.063 | 0.127639 | ||||||||
\(391\) | −7498.89 | − | 4989.28i | −0.969911 | − | 0.645317i | ||||
\(392\) | −741.853 | −0.0955848 | ||||||||
\(393\) | −1575.69 | − | 1818.44i | −0.202247 | − | 0.233405i | ||||
\(394\) | −1605.11 | − | 1031.54i | −0.205239 | − | 0.131899i | ||||
\(395\) | −239.402 | + | 1665.08i | −0.0304953 | + | 0.212099i | ||||
\(396\) | −455.647 | + | 997.727i | −0.0578210 | + | 0.126610i | ||||
\(397\) | −522.707 | − | 3635.51i | −0.0660804 | − | 0.459600i | −0.995817 | − | 0.0913734i | \(-0.970874\pi\) |
0.929736 | − | 0.368226i | \(-0.120035\pi\) | |||||||
\(398\) | −1940.54 | − | 569.794i | −0.244398 | − | 0.0717617i | ||||
\(399\) | 842.527 | − | 541.459i | 0.105712 | − | 0.0679370i | ||||
\(400\) | 210.975 | + | 461.971i | 0.0263719 | + | 0.0577464i | ||||
\(401\) | −9293.47 | + | 2728.81i | −1.15734 | + | 0.339826i | −0.803399 | − | 0.595442i | \(-0.796977\pi\) |
−0.353942 | + | 0.935267i | \(0.615159\pi\) | |||||||
\(402\) | −9.65615 | + | 11.1438i | −0.00119802 | + | 0.00138259i | ||||
\(403\) | −8404.14 | + | 9698.89i | −1.03881 | + | 1.19885i | ||||
\(404\) | 1170.20 | − | 343.602i | 0.144108 | − | 0.0423139i | ||||
\(405\) | −388.928 | − | 851.633i | −0.0477185 | − | 0.104489i | ||||
\(406\) | −1012.92 | + | 650.962i | −0.123818 | + | 0.0795732i | ||||
\(407\) | 5516.87 | + | 1619.90i | 0.671894 | + | 0.197286i | ||||
\(408\) | −250.879 | − | 1744.90i | −0.0304421 | − | 0.211729i | ||||
\(409\) | 245.483 | − | 537.533i | 0.0296781 | − | 0.0649860i | −0.894212 | − | 0.447643i | \(-0.852264\pi\) |
0.923891 | + | 0.382657i | \(0.124991\pi\) | |||||||
\(410\) | −235.218 | + | 1635.98i | −0.0283332 | + | 0.197062i | ||||
\(411\) | 3738.73 | + | 2402.74i | 0.448705 | + | 0.288365i | ||||
\(412\) | −7691.44 | − | 8876.39i | −0.919733 | − | 1.06143i | ||||
\(413\) | 13033.2 | 1.55284 | ||||||||
\(414\) | −181.362 | − | 414.421i | −0.0215300 | − | 0.0491973i | ||||
\(415\) | −16806.4 | −1.98794 | ||||||||
\(416\) | −3442.02 | − | 3972.30i | −0.405671 | − | 0.468169i | ||||
\(417\) | 7280.38 | + | 4678.81i | 0.854968 | + | 0.549454i | ||||
\(418\) | 16.0312 | − | 111.500i | 0.00187587 | − | 0.0130470i | ||||
\(419\) | 316.368 | − | 692.749i | 0.0368868 | − | 0.0807709i | −0.890292 | − | 0.455391i | \(-0.849500\pi\) |
0.927178 | + | 0.374620i | \(0.122227\pi\) | |||||||
\(420\) | 812.182 | + | 5648.85i | 0.0943581 | + | 0.656275i | ||||
\(421\) | 2389.43 | + | 701.600i | 0.276612 | + | 0.0812206i | 0.417096 | − | 0.908862i | \(-0.363048\pi\) |
−0.140484 | + | 0.990083i | \(0.544866\pi\) | |||||||
\(422\) | 403.966 | − | 259.613i | 0.0465989 | − | 0.0299473i | ||||
\(423\) | 960.870 | + | 2104.01i | 0.110447 | + | 0.241845i | ||||
\(424\) | 2807.41 | − | 824.330i | 0.321556 | − | 0.0944175i | ||||
\(425\) | −459.828 | + | 530.670i | −0.0524822 | + | 0.0605677i | ||||
\(426\) | 34.5638 | − | 39.8887i | 0.00393103 | − | 0.00453666i | ||||
\(427\) | −3995.97 | + | 1173.32i | −0.452877 | + | 0.132977i | ||||
\(428\) | −433.938 | − | 950.192i | −0.0490074 | − | 0.107311i | ||||
\(429\) | −2455.75 | + | 1578.21i | −0.276374 | + | 0.177615i | ||||
\(430\) | −1888.83 | − | 554.609i | −0.211831 | − | 0.0621991i | ||||
\(431\) | −1658.39 | − | 11534.4i | −0.185341 | − | 1.28908i | −0.843881 | − | 0.536530i | \(-0.819735\pi\) |
0.658540 | − | 0.752546i | \(-0.271174\pi\) | |||||||
\(432\) | −662.426 | + | 1450.51i | −0.0737754 | + | 0.161546i | ||||
\(433\) | −478.579 | + | 3328.59i | −0.0531155 | + | 0.369427i | 0.945876 | + | 0.324528i | \(0.105206\pi\) |
−0.998992 | + | 0.0448985i | \(0.985704\pi\) | |||||||
\(434\) | 1670.09 | + | 1073.30i | 0.184716 | + | 0.118710i | ||||
\(435\) | 2840.87 | + | 3278.53i | 0.313124 | + | 0.361365i | ||||
\(436\) | −8729.62 | −0.958883 | ||||||||
\(437\) | −1120.66 | − | 1335.60i | −0.122674 | − | 0.146202i | ||||
\(438\) | −733.721 | −0.0800424 | ||||||||
\(439\) | −11406.3 | − | 13163.5i | −1.24007 | − | 1.43112i | −0.863206 | − | 0.504851i | \(-0.831547\pi\) |
−0.376866 | − | 0.926268i | \(-0.622998\pi\) | |||||||
\(440\) | 1094.38 | + | 703.315i | 0.118574 | + | 0.0762028i | ||||
\(441\) | −132.040 | + | 918.359i | −0.0142577 | + | 0.0991642i | ||||
\(442\) | 961.677 | − | 2105.78i | 0.103489 | − | 0.226610i | ||||
\(443\) | −1924.88 | − | 13387.9i | −0.206442 | − | 1.43584i | −0.784645 | − | 0.619945i | \(-0.787155\pi\) |
0.578202 | − | 0.815893i | \(-0.303754\pi\) | |||||||
\(444\) | 8246.09 | + | 2421.27i | 0.881401 | + | 0.258803i | ||||
\(445\) | 549.125 | − | 352.901i | 0.0584967 | − | 0.0375935i | ||||
\(446\) | 378.402 | + | 828.585i | 0.0401746 | + | 0.0879700i | ||||
\(447\) | −4329.48 | + | 1271.25i | −0.458115 | + | 0.134515i | ||||
\(448\) | 6002.48 | − | 6927.23i | 0.633014 | − | 0.730538i | ||||
\(449\) | −7543.51 | + | 8705.68i | −0.792874 | + | 0.915025i | −0.997968 | − | 0.0637168i | \(-0.979705\pi\) |
0.205094 | + | 0.978742i | \(0.434250\pi\) | |||||||
\(450\) | −33.8376 | + | 9.93561i | −0.00354471 | + | 0.00104082i | ||||
\(451\) | −2038.82 | − | 4464.39i | −0.212869 | − | 0.466119i | ||||
\(452\) | −13643.3 | + | 8767.99i | −1.41975 | + | 0.912415i | ||||
\(453\) | −7306.29 | − | 2145.32i | −0.757791 | − | 0.222507i | ||||
\(454\) | −203.174 | − | 1413.11i | −0.0210032 | − | 0.146080i | ||||
\(455\) | −6309.51 | + | 13815.9i | −0.650097 | + | 1.42351i | ||||
\(456\) | 48.5625 | − | 337.759i | 0.00498716 | − | 0.0346865i | ||||
\(457\) | 10126.2 | + | 6507.73i | 1.03651 | + | 0.666125i | 0.944121 | − | 0.329599i | \(-0.106913\pi\) |
0.0923888 | + | 0.995723i | \(0.470550\pi\) | |||||||
\(458\) | −416.821 | − | 481.037i | −0.0425257 | − | 0.0490772i | ||||
\(459\) | −2204.72 | −0.224199 | ||||||||
\(460\) | 9575.70 | − | 2647.23i | 0.970585 | − | 0.268322i | ||||
\(461\) | 16795.7 | 1.69686 | 0.848431 | − | 0.529306i | \(-0.177547\pi\) | ||||
0.848431 | + | 0.529306i | \(0.177547\pi\) | |||||||
\(462\) | 295.715 | + | 341.273i | 0.0297790 | + | 0.0343668i | ||||
\(463\) | −4068.70 | − | 2614.79i | −0.408398 | − | 0.262462i | 0.320273 | − | 0.947325i | \(-0.396225\pi\) |
−0.728671 | + | 0.684864i | \(0.759862\pi\) | |||||||
\(464\) | 1051.53 | − | 7313.53i | 0.105207 | − | 0.731728i | ||||
\(465\) | 2971.32 | − | 6506.28i | 0.296326 | − | 0.648863i | ||||
\(466\) | 440.568 | + | 3064.21i | 0.0437959 | + | 0.304607i | ||||
\(467\) | 3438.49 | + | 1009.63i | 0.340716 | + | 0.100043i | 0.447614 | − | 0.894227i | \(-0.352274\pi\) |
−0.106899 | + | 0.994270i | \(0.534092\pi\) | |||||||
\(468\) | −3670.62 | + | 2358.96i | −0.362552 | + | 0.232998i | ||||
\(469\) | −94.6388 | − | 207.230i | −0.00931773 | − | 0.0204030i | ||||
\(470\) | 1298.80 | − | 381.361i | 0.127466 | − | 0.0374274i | ||||
\(471\) | 1556.34 | − | 1796.11i | 0.152255 | − | 0.175712i | ||||
\(472\) | 2908.00 | − | 3356.01i | 0.283584 | − | 0.327273i | ||||
\(473\) | 5608.76 | − | 1646.88i | 0.545224 | − | 0.160092i | ||||
\(474\) | 82.6489 | + | 180.976i | 0.00800884 | + | 0.0175369i | ||||
\(475\) | −114.343 | + | 73.4837i | −0.0110451 | + | 0.00709824i | ||||
\(476\) | 12894.7 | + | 3786.22i | 1.24165 | + | 0.364582i | ||||
\(477\) | −520.778 | − | 3622.09i | −0.0499890 | − | 0.347681i | ||||
\(478\) | 333.070 | − | 729.322i | 0.0318709 | − | 0.0697875i | ||||
\(479\) | −1667.50 | + | 11597.7i | −0.159060 | + | 1.10629i | 0.741310 | + | 0.671163i | \(0.234205\pi\) |
−0.900370 | + | 0.435125i | \(0.856704\pi\) | |||||||
\(480\) | 2464.42 | + | 1583.78i | 0.234343 | + | 0.150603i | ||||
\(481\) | 14978.4 | + | 17286.0i | 1.41987 | + | 1.63862i | ||||
\(482\) | 163.207 | 0.0154230 | ||||||||
\(483\) | 6988.26 | + | 111.000i | 0.658337 | + | 0.0104569i | ||||
\(484\) | 8465.56 | 0.795038 | ||||||||
\(485\) | −3660.80 | − | 4224.79i | −0.342739 | − | 0.395542i | ||||
\(486\) | −93.1517 | − | 59.8650i | −0.00869433 | − | 0.00558751i | ||||
\(487\) | 1084.53 | − | 7543.08i | 0.100913 | − | 0.701868i | −0.875066 | − | 0.484004i | \(-0.839182\pi\) |
0.975979 | − | 0.217864i | \(-0.0699089\pi\) | |||||||
\(488\) | −589.463 | + | 1290.74i | −0.0546798 | + | 0.119732i | ||||
\(489\) | 1630.96 | + | 11343.6i | 0.150828 | + | 1.04903i | ||||
\(490\) | 520.972 | + | 152.971i | 0.0480309 | + | 0.0141031i | ||||
\(491\) | 1210.61 | − | 778.012i | 0.111271 | − | 0.0715096i | −0.483822 | − | 0.875167i | \(-0.660752\pi\) |
0.595093 | + | 0.803657i | \(0.297115\pi\) | |||||||
\(492\) | −3047.43 | − | 6672.94i | −0.279245 | − | 0.611462i | ||||
\(493\) | 9801.88 | − | 2878.09i | 0.895445 | − | 0.262926i | ||||
\(494\) | 293.448 | − | 338.658i | 0.0267265 | − | 0.0308440i | ||||
\(495\) | 1065.44 | − | 1229.58i | 0.0967432 | − | 0.111648i | ||||
\(496\) | −11689.0 | + | 3432.19i | −1.05817 | + | 0.310706i | ||||
\(497\) | 338.756 | + | 741.771i | 0.0305740 | + | 0.0669477i | ||||
\(498\) | −1672.17 | + | 1074.64i | −0.150465 | + | 0.0966980i | ||||
\(499\) | −20512.4 | − | 6022.99i | −1.84020 | − | 0.540333i | −0.840206 | − | 0.542268i | \(-0.817566\pi\) |
−0.999998 | + | 0.00193557i | \(0.999384\pi\) | |||||||
\(500\) | 1492.03 | + | 10377.3i | 0.133451 | + | 0.928172i | ||||
\(501\) | 2691.33 | − | 5893.20i | 0.240000 | − | 0.525527i | ||||
\(502\) | −387.324 | + | 2693.90i | −0.0344365 | + | 0.239511i | ||||
\(503\) | −11729.0 | − | 7537.78i | −1.03970 | − | 0.668177i | −0.0947898 | − | 0.995497i | \(-0.530218\pi\) |
−0.944913 | + | 0.327321i | \(0.893854\pi\) | |||||||
\(504\) | 895.791 | + | 1033.80i | 0.0791701 | + | 0.0913671i | ||||
\(505\) | −1809.05 | −0.159410 | ||||||||
\(506\) | 524.164 | − | 585.852i | 0.0460512 | − | 0.0514710i | ||||
\(507\) | −5021.41 | −0.439860 | ||||||||
\(508\) | −911.051 | − | 1051.41i | −0.0795696 | − | 0.0918282i | ||||
\(509\) | 11528.7 | + | 7409.07i | 1.00393 | + | 0.645189i | 0.935816 | − | 0.352488i | \(-0.114664\pi\) |
0.0681180 | + | 0.997677i | \(0.478301\pi\) | |||||||
\(510\) | −183.620 | + | 1277.10i | −0.0159428 | + | 0.110885i | ||||
\(511\) | 4709.18 | − | 10311.7i | 0.407675 | − | 0.892683i | ||||
\(512\) | −1193.96 | − | 8304.14i | −0.103058 | − | 0.716786i | ||||
\(513\) | −409.478 | − | 120.233i | −0.0352415 | − | 0.0103478i | ||||
\(514\) | −905.903 | + | 582.188i | −0.0777386 | + | 0.0499596i | ||||
\(515\) | 7237.25 | + | 15847.4i | 0.619246 | + | 1.35596i | ||||
\(516\) | 8383.44 | − | 2461.60i | 0.715234 | − | 0.210012i | ||||
\(517\) | −2632.23 | + | 3037.75i | −0.223917 | + | 0.258414i | ||||
\(518\) | 2317.04 | − | 2674.01i | 0.196535 | − | 0.226813i | ||||
\(519\) | 10862.1 | − | 3189.41i | 0.918679 | − | 0.269748i | ||||
\(520\) | 2149.76 | + | 4707.31i | 0.181294 | + | 0.396979i | ||||
\(521\) | 4271.53 | − | 2745.15i | 0.359192 | − | 0.230839i | −0.348581 | − | 0.937279i | \(-0.613336\pi\) |
0.707773 | + | 0.706440i | \(0.249700\pi\) | |||||||
\(522\) | 492.289 | + | 144.549i | 0.0412776 | + | 0.0121202i | ||||
\(523\) | 1043.96 | + | 7260.89i | 0.0872832 | + | 0.607068i | 0.985774 | + | 0.168076i | \(0.0537553\pi\) |
−0.898491 | + | 0.438992i | \(0.855336\pi\) | |||||||
\(524\) | 2596.28 | − | 5685.05i | 0.216448 | − | 0.473955i | ||||
\(525\) | 77.5425 | − | 539.320i | 0.00644616 | − | 0.0448340i | ||||
\(526\) | 1104.41 | + | 709.764i | 0.0915490 | + | 0.0588350i | ||||
\(527\) | −11030.1 | − | 12729.5i | −0.911728 | − | 1.05219i | ||||
\(528\) | −2771.07 | −0.228400 | ||||||||
\(529\) | −1348.19 | − | 12092.1i | −0.110807 | − | 0.993842i | ||||
\(530\) | −2141.50 | −0.175511 | ||||||||
\(531\) | −3636.91 | − | 4197.22i | −0.297229 | − | 0.343020i | ||||
\(532\) | 2188.42 | + | 1406.41i | 0.178346 | + | 0.114616i | ||||
\(533\) | 2778.51 | − | 19325.0i | 0.225799 | − | 1.57046i | ||||
\(534\) | 32.0703 | − | 70.2242i | 0.00259891 | − | 0.00569082i | ||||
\(535\) | 220.510 | + | 1533.68i | 0.0178196 | + | 0.123938i | ||||
\(536\) | −74.4771 | − | 21.8684i | −0.00600172 | − | 0.00176226i | ||||
\(537\) | −5825.18 | + | 3743.61i | −0.468110 | + | 0.300836i | ||||
\(538\) | 617.217 | + | 1351.52i | 0.0494612 | + | 0.108305i | ||||
\(539\) | −1547.00 | + | 454.240i | −0.123625 | + | 0.0362996i | ||||
\(540\) | 1592.51 | − | 1837.86i | 0.126909 | − | 0.146461i | ||||
\(541\) | −6207.09 | + | 7163.36i | −0.493278 | + | 0.569273i | −0.946739 | − | 0.322003i | \(-0.895644\pi\) |
0.453460 | + | 0.891276i | \(0.350189\pi\) | |||||||
\(542\) | −1199.06 | + | 352.075i | −0.0950256 | + | 0.0279020i | ||||
\(543\) | −1495.12 | − | 3273.85i | −0.118162 | − | 0.258738i | ||||
\(544\) | 5803.36 | − | 3729.60i | 0.457385 | − | 0.293943i | ||||
\(545\) | 12424.2 | + | 3648.09i | 0.976507 | + | 0.286728i | ||||
\(546\) | 255.647 | + | 1778.06i | 0.0200379 | + | 0.139366i | ||||
\(547\) | 2996.85 | − | 6562.20i | 0.234253 | − | 0.512942i | −0.755601 | − | 0.655032i | \(-0.772655\pi\) |
0.989854 | + | 0.142090i | \(0.0453823\pi\) | |||||||
\(548\) | −1642.84 | + | 11426.2i | −0.128063 | + | 0.890699i | ||||
\(549\) | 1492.93 | + | 959.447i | 0.116059 | + | 0.0745869i | ||||
\(550\) | −40.1327 | − | 46.3156i | −0.00311139 | − | 0.00359074i | ||||
\(551\) | 1977.44 | 0.152889 | ||||||||
\(552\) | 1587.82 | − | 1774.69i | 0.122431 | − | 0.136840i | ||||
\(553\) | −3073.88 | −0.236374 | ||||||||
\(554\) | 409.431 | + | 472.509i | 0.0313990 | + | 0.0362364i | ||||
\(555\) | −10724.2 | − | 6892.05i | −0.820213 | − | 0.527119i | ||||
\(556\) | −3199.08 | + | 22250.1i | −0.244013 | + | 1.69715i | ||||
\(557\) | 3853.20 | − | 8437.32i | 0.293115 | − | 0.641833i | −0.704585 | − | 0.709620i | \(-0.748867\pi\) |
0.997700 | + | 0.0677873i | \(0.0215939\pi\) | |||||||
\(558\) | −120.391 | − | 837.337i | −0.00913361 | − | 0.0635257i | ||||
\(559\) | 22311.7 | + | 6551.31i | 1.68817 | + | 0.495690i | ||||
\(560\) | −12129.2 | + | 7794.94i | −0.915269 | + | 0.588208i | ||||
\(561\) | −1591.57 | − | 3485.06i | −0.119780 | − | 0.262281i | ||||
\(562\) | −65.6761 | + | 19.2843i | −0.00492950 | + | 0.00144743i | ||||
\(563\) | −8381.41 | + | 9672.66i | −0.627414 | + | 0.724075i | −0.977097 | − | 0.212793i | \(-0.931744\pi\) |
0.349683 | + | 0.936868i | \(0.386289\pi\) | |||||||
\(564\) | −3934.41 | + | 4540.55i | −0.293738 | + | 0.338992i | ||||
\(565\) | 23081.6 | − | 6777.37i | 1.71867 | − | 0.504648i | ||||
\(566\) | 801.329 | + | 1754.67i | 0.0595095 | + | 0.130308i | ||||
\(567\) | 1439.21 | − | 924.921i | 0.106598 | − | 0.0685062i | ||||
\(568\) | 266.587 | + | 78.2772i | 0.0196932 | + | 0.00578246i | ||||
\(569\) | −2493.22 | − | 17340.7i | −0.183693 | − | 1.27761i | −0.847937 | − | 0.530097i | \(-0.822156\pi\) |
0.664244 | − | 0.747516i | \(-0.268754\pi\) | |||||||
\(570\) | −103.750 | + | 227.181i | −0.00762387 | + | 0.0166939i | ||||
\(571\) | −899.201 | + | 6254.08i | −0.0659026 | + | 0.458363i | 0.929973 | + | 0.367629i | \(0.119830\pi\) |
−0.995875 | + | 0.0907337i | \(0.971079\pi\) | |||||||
\(572\) | −6378.68 | − | 4099.33i | −0.466270 | − | 0.299653i | ||||
\(573\) | 4442.73 | + | 5127.18i | 0.323905 | + | 0.373806i | ||||
\(574\) | −3020.16 | −0.219615 | ||||||||
\(575\) | −948.407 | − | 15.0643i | −0.0687849 | − | 0.00109256i | ||||
\(576\) | −3905.83 | −0.282540 | ||||||||
\(577\) | 16283.3 | + | 18791.9i | 1.17484 | + | 1.35583i | 0.921463 | + | 0.388466i | \(0.126995\pi\) |
0.253374 | + | 0.967368i | \(0.418460\pi\) | |||||||
\(578\) | 672.658 | + | 432.291i | 0.0484064 | + | 0.0311089i | ||||
\(579\) | −1562.51 | + | 10867.5i | −0.112151 | + | 0.780030i | ||||
\(580\) | −4680.92 | + | 10249.8i | −0.335112 | + | 0.733792i | ||||
\(581\) | −4370.54 | − | 30397.8i | −0.312083 | − | 2.17059i | ||||
\(582\) | −634.375 | − | 186.269i | −0.0451816 | − | 0.0132665i | ||||
\(583\) | 5349.60 | − | 3437.98i | 0.380030 | − | 0.244231i | ||||
\(584\) | −1604.50 | − | 3513.36i | −0.113689 | − | 0.248945i | ||||
\(585\) | 6209.93 | − | 1823.40i | 0.438887 | − | 0.128869i | ||||
\(586\) | −2211.17 | + | 2551.82i | −0.155875 | + | 0.179889i | ||||
\(587\) | −10002.0 | + | 11542.9i | −0.703279 | + | 0.811627i | −0.989192 | − | 0.146628i | \(-0.953158\pi\) |
0.285912 | + | 0.958256i | \(0.407703\pi\) | |||||||
\(588\) | −2312.31 | + | 678.954i | −0.162173 | + | 0.0476184i | ||||
\(589\) | −1354.41 | − | 2965.75i | −0.0947496 | − | 0.207473i | ||||
\(590\) | −2734.18 | + | 1757.15i | −0.190787 | + | 0.122612i | ||||
\(591\) | −12052.7 | − | 3538.98i | −0.838883 | − | 0.246318i | ||||
\(592\) | 3089.99 | + | 21491.4i | 0.214524 | + | 1.49204i | ||||
\(593\) | −9560.19 | + | 20933.9i | −0.662040 | + | 1.44967i | 0.218569 | + | 0.975822i | \(0.429861\pi\) |
−0.880609 | + | 0.473844i | \(0.842866\pi\) | |||||||
\(594\) | 27.3846 | − | 190.464i | 0.00189159 | − | 0.0131563i | ||||
\(595\) | −16769.8 | − | 10777.3i | −1.15546 | − | 0.742566i | ||||
\(596\) | −7675.22 | − | 8857.67i | −0.527499 | − | 0.608766i | ||||
\(597\) | −13315.1 | −0.912815 | ||||||||
\(598\) | 3014.10 | − | 833.258i | 0.206113 | − | 0.0569807i | ||||
\(599\) | 15375.7 | 1.04881 | 0.524403 | − | 0.851470i | \(-0.324288\pi\) | ||||
0.524403 | + | 0.851470i | \(0.324288\pi\) | |||||||
\(600\) | −121.572 | − | 140.301i | −0.00827190 | − | 0.00954629i | ||||
\(601\) | −16183.0 | − | 10400.2i | −1.09837 | − | 0.705878i | −0.139639 | − | 0.990202i | \(-0.544594\pi\) |
−0.958728 | + | 0.284324i | \(0.908231\pi\) | |||||||
\(602\) | 511.928 | − | 3560.54i | 0.0346589 | − | 0.241058i | ||||
\(603\) | −40.3275 | + | 88.3049i | −0.00272349 | + | 0.00596360i | ||||
\(604\) | −2814.83 | − | 19577.6i | −0.189626 | − | 1.31888i | ||||
\(605\) | −12048.4 | − | 3537.74i | −0.809650 | − | 0.237735i | ||||
\(606\) | −179.993 | + | 115.674i | −0.0120655 | + | 0.00775405i | ||||
\(607\) | −481.183 | − | 1053.64i | −0.0321756 | − | 0.0704548i | 0.892862 | − | 0.450331i | \(-0.148694\pi\) |
−0.925037 | + | 0.379876i | \(0.875967\pi\) | |||||||
\(608\) | 1281.24 | − | 376.206i | 0.0854624 | − | 0.0250940i | ||||
\(609\) | −5191.10 | + | 5990.85i | −0.345409 | + | 0.398623i | ||||
\(610\) | 680.108 | − | 784.887i | 0.0451423 | − | 0.0520970i | ||||
\(611\) | −15342.0 | + | 4504.82i | −1.01583 | + | 0.298274i | ||||
\(612\) | −2378.93 | − | 5209.14i | −0.157129 | − | 0.344064i | ||||
\(613\) | 3241.95 | − | 2083.48i | 0.213607 | − | 0.137277i | −0.429462 | − | 0.903085i | \(-0.641297\pi\) |
0.643070 | + | 0.765808i | \(0.277661\pi\) | |||||||
\(614\) | −2371.34 | − | 696.289i | −0.155862 | − | 0.0457654i | ||||
\(615\) | 1548.58 | + | 10770.6i | 0.101536 | + | 0.706202i | ||||
\(616\) | −987.489 | + | 2162.30i | −0.0645894 | + | 0.141431i | ||||
\(617\) | −438.553 | + | 3050.20i | −0.0286150 | + | 0.199022i | −0.999114 | − | 0.0420829i | \(-0.986601\pi\) |
0.970499 | + | 0.241105i | \(0.0775097\pi\) | |||||||
\(618\) | 1733.39 | + | 1113.98i | 0.112827 | + | 0.0725095i | ||||
\(619\) | −2138.67 | − | 2468.16i | −0.138870 | − | 0.160264i | 0.682054 | − | 0.731301i | \(-0.261087\pi\) |
−0.820924 | + | 0.571037i | \(0.806541\pi\) | |||||||
\(620\) | 18578.7 | 1.20345 | ||||||||
\(621\) | −1914.32 | − | 2281.47i | −0.123702 | − | 0.147427i | ||||
\(622\) | −2685.82 | −0.173137 | ||||||||
\(623\) | 781.092 | + | 901.428i | 0.0502308 | + | 0.0579694i | ||||
\(624\) | −9273.42 | − | 5959.67i | −0.594926 | − | 0.382336i | ||||
\(625\) | 2366.12 | − | 16456.7i | 0.151432 | − | 1.05323i | ||||
\(626\) | 1586.53 | − | 3474.01i | 0.101295 | − | 0.221804i | ||||
\(627\) | −105.543 | − | 734.070i | −0.00672248 | − | 0.0467559i | ||||
\(628\) | 5923.03 | + | 1739.16i | 0.376361 | + | 0.110510i | ||||
\(629\) | −25254.1 | + | 16229.8i | −1.60087 | + | 1.02882i | ||||
\(630\) | −415.906 | − | 910.707i | −0.0263017 | − | 0.0575927i | ||||
\(631\) | 15602.0 | − | 4581.18i | 0.984323 | − | 0.289023i | 0.250315 | − | 0.968164i | \(-0.419466\pi\) |
0.734008 | + | 0.679141i | \(0.237648\pi\) | |||||||
\(632\) | −685.850 | + | 791.514i | −0.0431672 | + | 0.0498176i | ||||
\(633\) | 2070.29 | − | 2389.24i | 0.129994 | − | 0.150022i | ||||
\(634\) | 3449.73 | − | 1012.93i | 0.216099 | − | 0.0634522i | ||||
\(635\) | 857.253 | + | 1877.12i | 0.0535733 | + | 0.117309i | ||||
\(636\) | 7996.07 | − | 5138.76i | 0.498530 | − | 0.320386i | ||||
\(637\) | −6153.97 | − | 1806.97i | −0.382778 | − | 0.112394i | ||||
\(638\) | 126.888 | + | 882.526i | 0.00787390 | + | 0.0547642i | ||||
\(639\) | 144.350 | − | 316.083i | 0.00893649 | − | 0.0195682i | ||||
\(640\) | −1437.04 | + | 9994.86i | −0.0887565 | + | 0.617315i | ||||
\(641\) | −17184.5 | − | 11043.8i | −1.05889 | − | 0.680505i | −0.109300 | − | 0.994009i | \(-0.534861\pi\) |
−0.949587 | + | 0.313504i | \(0.898497\pi\) | |||||||
\(642\) | 120.006 | + | 138.495i | 0.00737737 | + | 0.00851394i | ||||
\(643\) | 13045.8 | 0.800121 | 0.400061 | − | 0.916489i | \(-0.368989\pi\) | ||||
0.400061 | + | 0.916489i | \(0.368989\pi\) | |||||||
\(644\) | 7278.22 | + | 16631.1i | 0.445345 | + | 1.01764i | ||||
\(645\) | −12960.3 | −0.791178 | ||||||||
\(646\) | 385.141 | + | 444.477i | 0.0234569 | + | 0.0270707i | ||||
\(647\) | −3102.18 | − | 1993.65i | −0.188500 | − | 0.121141i | 0.442987 | − | 0.896528i | \(-0.353919\pi\) |
−0.631487 | + | 0.775387i | \(0.717555\pi\) | |||||||
\(648\) | 82.9545 | − | 576.961i | 0.00502895 | − | 0.0349771i | ||||
\(649\) | 4009.20 | − | 8778.93i | 0.242488 | − | 0.530976i | ||||
\(650\) | −34.6949 | − | 241.309i | −0.00209361 | − | 0.0145614i | ||||
\(651\) | 12540.6 | + | 3682.24i | 0.754998 | + | 0.221687i | ||||
\(652\) | −25042.0 | + | 16093.5i | −1.50417 | + | 0.966673i | ||||
\(653\) | 10827.3 | + | 23708.5i | 0.648861 | + | 1.42081i | 0.892548 | + | 0.450953i | \(0.148916\pi\) |
−0.243687 | + | 0.969854i | \(0.578357\pi\) | |||||||
\(654\) | 1469.42 | − | 431.462i | 0.0878578 | − | 0.0257974i | ||||
\(655\) | −6070.86 | + | 7006.15i | −0.362150 | + | 0.417943i | ||||
\(656\) | 12136.7 | − | 14006.5i | 0.722347 | − | 0.833633i | ||||
\(657\) | −4634.86 | + | 1360.92i | −0.275225 | + | 0.0808135i | ||||
\(658\) | 1027.52 | + | 2249.96i | 0.0608768 | + | 0.133302i | ||||
\(659\) | −6753.13 | + | 4339.97i | −0.399187 | + | 0.256542i | −0.724797 | − | 0.688962i | \(-0.758067\pi\) |
0.325610 | + | 0.945504i | \(0.394430\pi\) | |||||||
\(660\) | 4054.79 | + | 1190.59i | 0.239140 | + | 0.0702179i | ||||
\(661\) | −1171.24 | − | 8146.17i | −0.0689199 | − | 0.479348i | −0.994826 | − | 0.101594i | \(-0.967606\pi\) |
0.925906 | − | 0.377754i | \(-0.123303\pi\) | |||||||
\(662\) | 399.687 | − | 875.191i | 0.0234656 | − | 0.0513826i | ||||
\(663\) | 2169.01 | − | 15085.8i | 0.127055 | − | 0.883685i | ||||
\(664\) | −8802.48 | − | 5657.01i | −0.514462 | − | 0.330624i | ||||
\(665\) | −2526.89 | − | 2916.19i | −0.147351 | − | 0.170052i | ||||
\(666\) | −1507.70 | −0.0877213 | ||||||||
\(667\) | 11489.1 | + | 7644.13i | 0.666957 | + | 0.443751i | ||||
\(668\) | 16828.0 | 0.974694 | ||||||||
\(669\) | 3927.21 | + | 4532.24i | 0.226958 | + | 0.261923i | ||||
\(670\) | 47.7928 | + | 30.7146i | 0.00275582 | + | 0.00177106i | ||||
\(671\) | −438.889 | + | 3052.54i | −0.0252505 | + | 0.175621i | ||||
\(672\) | −2223.71 | + | 4869.25i | −0.127651 | + | 0.279517i | ||||
\(673\) | 4725.60 | + | 32867.3i | 0.270667 | + | 1.88253i | 0.441550 | + | 0.897236i | \(0.354429\pi\) |
−0.170884 | + | 0.985291i | \(0.554662\pi\) | |||||||
\(674\) | −2371.99 | − | 696.479i | −0.135557 | − | 0.0398032i | ||||
\(675\) | −195.321 | + | 125.525i | −0.0111376 | + | 0.00715772i | ||||
\(676\) | −5418.21 | − | 11864.2i | −0.308273 | − | 0.675024i | ||||
\(677\) | −613.028 | + | 180.001i | −0.0348014 | + | 0.0102186i | −0.299087 | − | 0.954226i | \(-0.596682\pi\) |
0.264286 | + | 0.964444i | \(0.414864\pi\) | |||||||
\(678\) | 1863.16 | − | 2150.20i | 0.105537 | − | 0.121796i | ||||
\(679\) | 6689.37 | − | 7719.95i | 0.378078 | − | 0.436325i | ||||
\(680\) | −6516.84 | + | 1913.52i | −0.367514 | + | 0.107912i | ||||
\(681\) | −3904.49 | − | 8549.64i | −0.219707 | − | 0.481091i | ||||
\(682\) | 1236.70 | − | 794.776i | 0.0694362 | − | 0.0446240i | ||||
\(683\) | 7155.17 | + | 2100.95i | 0.400856 | + | 0.117702i | 0.475945 | − | 0.879475i | \(-0.342106\pi\) |
−0.0750892 | + | 0.997177i | \(0.523924\pi\) | |||||||
\(684\) | −157.756 | − | 1097.22i | −0.00881865 | − | 0.0613351i | ||||
\(685\) | 7113.12 | − | 15575.6i | 0.396757 | − | 0.868776i | ||||
\(686\) | 328.601 | − | 2285.47i | 0.0182887 | − | 0.127201i | ||||
\(687\) | −3525.26 | − | 2265.55i | −0.195774 | − | 0.125817i | ||||
\(688\) | 14455.4 | + | 16682.4i | 0.801029 | + | 0.924436i | ||||
\(689\) | 25296.5 | 1.39872 | ||||||||
\(690\) | −1481.00 | + | 918.878i | −0.0817112 | + | 0.0506972i | ||||
\(691\) | −7541.72 | −0.415196 | −0.207598 | − | 0.978214i | \(-0.566565\pi\) | ||||
−0.207598 | + | 0.978214i | \(0.566565\pi\) | |||||||
\(692\) | 19256.1 | + | 22222.8i | 1.05782 | + | 1.22079i | ||||
\(693\) | 2501.01 | + | 1607.30i | 0.137093 | + | 0.0881043i | ||||
\(694\) | 448.958 | − | 3122.57i | 0.0245565 | − | 0.170794i | ||||
\(695\) | 13851.3 | − | 30330.1i | 0.755984 | − | 1.65537i | ||||
\(696\) | 384.375 | + | 2673.38i | 0.0209334 | + | 0.145595i | ||||
\(697\) | 24586.2 | + | 7219.17i | 1.33611 | + | 0.392318i | ||||
\(698\) | 966.835 | − | 621.347i | 0.0524287 | − | 0.0336939i | ||||
\(699\) | 8466.58 | + | 18539.2i | 0.458134 | + | 1.00317i | ||||
\(700\) | 1357.94 | − | 398.726i | 0.0733216 | − | 0.0215292i | ||||
\(701\) | 3529.75 | − | 4073.55i | 0.190181 | − | 0.219481i | −0.652649 | − | 0.757660i | \(-0.726342\pi\) |
0.842830 | + | 0.538180i | \(0.180888\pi\) | |||||||
\(702\) | 501.269 | − | 578.495i | 0.0269504 | − | 0.0311024i | ||||
\(703\) | −5575.48 | + | 1637.11i | −0.299123 | + | 0.0878304i | ||||
\(704\) | −2819.60 | − | 6174.07i | −0.150948 | − | 0.330531i | ||||
\(705\) | 7497.04 | − | 4818.06i | 0.400504 | − | 0.257388i | ||||
\(706\) | −3564.80 | − | 1046.72i | −0.190033 | − | 0.0557986i | ||||
\(707\) | −470.447 | − | 3272.03i | −0.0250254 | − | 0.174056i | ||||
\(708\) | 5992.58 | − | 13121.9i | 0.318100 | − | 0.696542i | ||||
\(709\) | 3742.84 | − | 26032.0i | 0.198258 | − | 1.37892i | −0.611077 | − | 0.791571i | \(-0.709263\pi\) |
0.809335 | − | 0.587347i | \(-0.199828\pi\) | |||||||
\(710\) | −171.072 | − | 109.942i | −0.00904258 | − | 0.00581131i | ||||
\(711\) | 857.763 | + | 989.911i | 0.0452442 | + | 0.0522146i | ||||
\(712\) | 406.394 | 0.0213908 | ||||||||
\(713\) | 3595.33 | − | 22467.0i | 0.188845 | − | 1.18008i | ||||
\(714\) | −2357.65 | −0.123575 | ||||||||
\(715\) | 7365.23 | + | 8499.92i | 0.385236 | + | 0.444586i | ||||
\(716\) | −15130.6 | − | 9723.86i | −0.789746 | − | 0.507539i | ||||
\(717\) | 751.221 | − | 5224.86i | 0.0391281 | − | 0.272142i | ||||
\(718\) | −188.368 | + | 412.468i | −0.00979083 | + | 0.0214389i | ||||
\(719\) | −3062.41 | − | 21299.5i | −0.158843 | − | 1.10478i | −0.900769 | − | 0.434298i | \(-0.856996\pi\) |
0.741926 | − | 0.670482i | \(-0.233913\pi\) | |||||||
\(720\) | 5894.91 | + | 1730.90i | 0.305126 | + | 0.0895930i | ||||
\(721\) | −26781.0 | + | 17211.1i | −1.38333 | + | 0.889010i | ||||
\(722\) | −1251.08 | − | 2739.49i | −0.0644883 | − | 0.141210i | ||||
\(723\) | 1030.97 | − | 302.719i | 0.0530319 | − | 0.0155716i | ||||
\(724\) | 6121.96 | − | 7065.11i | 0.314255 | − | 0.362670i | ||||
\(725\) | 704.507 | − | 813.044i | 0.0360893 | − | 0.0416492i | ||||
\(726\) | −1424.98 | + | 418.411i | −0.0728455 | + | 0.0213894i | ||||
\(727\) | −14341.2 | − | 31402.8i | −0.731617 | − | 1.60202i | −0.796871 | − | 0.604149i | \(-0.793513\pi\) |
0.0652546 | − | 0.997869i | \(-0.479214\pi\) | |||||||
\(728\) | −7955.05 | + | 5112.40i | −0.404991 | + | 0.260272i | ||||
\(729\) | −699.470 | − | 205.383i | −0.0355368 | − | 0.0104345i | ||||
\(730\) | 402.311 | + | 2798.13i | 0.0203975 | + | 0.141868i | ||||
\(731\) | −12678.3 | + | 27761.6i | −0.641484 | + | 1.40465i | ||||
\(732\) | −656.009 | + | 4562.65i | −0.0331240 | + | 0.230383i | ||||
\(733\) | 10905.8 | + | 7008.72i | 0.549542 | + | 0.353169i | 0.785761 | − | 0.618531i | \(-0.212272\pi\) |
−0.236219 | + | 0.971700i | \(0.575908\pi\) | |||||||
\(734\) | 2421.57 | + | 2794.64i | 0.121773 | + | 0.140534i | ||||
\(735\) | 3574.67 | 0.179393 | ||||||||
\(736\) | 8898.41 | + | 2767.05i | 0.445652 | + | 0.138580i | ||||
\(737\) | −168.698 | −0.00843160 | ||||||||
\(738\) | 842.773 | + | 972.611i | 0.0420364 | + | 0.0485126i | ||||
\(739\) | −9515.02 | − | 6114.93i | −0.473634 | − | 0.304386i | 0.281960 | − | 0.959426i | \(-0.409015\pi\) |
−0.755594 | + | 0.655040i | \(0.772652\pi\) | |||||||
\(740\) | 4712.35 | − | 32775.1i | 0.234094 | − | 1.62816i | ||||
\(741\) | 1225.54 | − | 2683.57i | 0.0607577 | − | 0.133041i | ||||
\(742\) | −556.901 | − | 3873.33i | −0.0275532 | − | 0.191637i | ||||
\(743\) | 5862.04 | + | 1721.25i | 0.289445 | + | 0.0849887i | 0.423232 | − | 0.906021i | \(-0.360896\pi\) |
−0.133787 | + | 0.991010i | \(0.542714\pi\) | |||||||
\(744\) | 3746.25 | − | 2407.57i | 0.184602 | − | 0.118637i | ||||
\(745\) | 7221.99 | + | 15814.0i | 0.355159 | + | 0.777689i | ||||
\(746\) | 4079.34 | − | 1197.80i | 0.200208 | − | 0.0587864i | ||||
\(747\) | −8569.69 | + | 9889.95i | −0.419744 | + | 0.484410i | ||||
\(748\) | 6516.91 | − | 7520.91i | 0.318558 | − | 0.367636i | ||||
\(749\) | −2716.62 | + | 797.672i | −0.132528 | + | 0.0389136i | ||||
\(750\) | −764.045 | − | 1673.03i | −0.0371986 | − | 0.0814537i | ||||
\(751\) | −9558.89 | + | 6143.13i | −0.464459 | + | 0.298490i | −0.751863 | − | 0.659320i | \(-0.770844\pi\) |
0.287403 | + | 0.957810i | \(0.407208\pi\) | |||||||
\(752\) | −14563.7 | − | 4276.30i | −0.706230 | − | 0.207368i | ||||
\(753\) | 2549.99 | + | 17735.6i | 0.123409 | + | 0.858327i | ||||
\(754\) | −1473.39 | + | 3226.28i | −0.0711643 | + | 0.155828i | ||||
\(755\) | −4175.28 | + | 29039.7i | −0.201264 | + | 1.39982i | ||||
\(756\) | 3738.27 | + | 2402.44i | 0.179841 | + | 0.115577i | ||||
\(757\) | 6521.59 | + | 7526.32i | 0.313119 | + | 0.361359i | 0.890394 | − | 0.455191i | \(-0.150429\pi\) |
−0.577274 | + | 0.816550i | \(0.695884\pi\) | |||||||
\(758\) | 1968.83 | 0.0943421 | ||||||||
\(759\) | 2224.45 | − | 4673.01i | 0.106380 | − | 0.223478i | ||||
\(760\) | −1314.71 | −0.0627496 | ||||||||
\(761\) | 14486.8 | + | 16718.7i | 0.690075 | + | 0.796389i | 0.987376 | − | 0.158395i | \(-0.0506319\pi\) |
−0.297301 | + | 0.954784i | \(0.596086\pi\) | |||||||
\(762\) | 205.320 | + | 131.951i | 0.00976108 | + | 0.00627307i | ||||
\(763\) | −3367.34 | + | 23420.4i | −0.159772 | + | 1.11124i | ||||
\(764\) | −7320.33 | + | 16029.3i | −0.346650 | + | 0.759057i | ||||
\(765\) | 1208.88 | + | 8407.95i | 0.0571336 | + | 0.397373i | ||||
\(766\) | 875.004 | + | 256.924i | 0.0412731 | + | 0.0121189i | ||||
\(767\) | 32297.5 | − | 20756.3i | 1.52046 | − | 0.977142i | ||||
\(768\) | −3830.66 | − | 8387.98i | −0.179983 | − | 0.394108i | ||||
\(769\) | −31143.4 | + | 9144.52i | −1.46041 | + | 0.428816i | −0.912970 | − | 0.408026i | \(-0.866217\pi\) |
−0.547444 | + | 0.836842i | \(0.684399\pi\) | |||||||
\(770\) | 1139.34 | − | 1314.87i | 0.0533234 | − | 0.0615385i | ||||
\(771\) | −4642.67 | + | 5357.92i | −0.216863 | + | 0.250273i | ||||
\(772\) | −27362.9 | + | 8034.47i | −1.27566 | + | 0.374568i | ||||
\(773\) | 13252.4 | + | 29018.6i | 0.616629 | + | 1.35023i | 0.917946 | + | 0.396705i | \(0.129846\pi\) |
−0.301317 | + | 0.953524i | \(0.597426\pi\) | |||||||
\(774\) | −1289.49 | + | 828.704i | −0.0598833 | + | 0.0384847i | ||||
\(775\) | −1701.93 | − | 499.733i | −0.0788843 | − | 0.0231625i | ||||
\(776\) | −495.314 | − | 3444.98i | −0.0229133 | − | 0.159366i | ||||
\(777\) | 9676.77 | − | 21189.2i | 0.446785 | − | 0.978323i | ||||
\(778\) | 473.198 | − | 3291.17i | 0.0218059 | − | 0.151663i | ||||
\(779\) | 4172.66 | + | 2681.61i | 0.191914 | + | 0.123336i | ||||
\(780\) | 11008.8 | + | 12704.9i | 0.505359 | + | 0.583215i | ||||
\(781\) | 603.849 | 0.0276663 | ||||||||
\(782\) | 519.508 | + | 4071.28i | 0.0237565 | + | 0.186175i | ||||
\(783\) | 3377.87 | 0.154170 | ||||||||
\(784\) | −3987.07 | − | 4601.32i | −0.181627 | − | 0.209608i | ||||
\(785\) | −7703.04 | − | 4950.44i | −0.350234 | − | 0.225081i | ||||
\(786\) | −156.037 | + | 1085.26i | −0.00708100 | + | 0.0492495i | ||||
\(787\) | 12576.4 | − | 27538.4i | 0.569630 | − | 1.24732i | −0.377364 | − | 0.926065i | \(-0.623169\pi\) |
0.946994 | − | 0.321251i | \(-0.104103\pi\) | |||||||
\(788\) | −4643.43 | − | 32295.8i | −0.209918 | − | 1.46001i | ||||
\(789\) | 8292.98 | + | 2435.04i | 0.374193 | + | 0.109873i | ||||
\(790\) | 644.855 | − | 414.423i | 0.0290417 | − | 0.0186639i | ||||
\(791\) | 18260.6 | + | 39985.2i | 0.820826 | + | 1.79736i | ||||
\(792\) | 971.904 | − | 285.377i | 0.0436049 | − | 0.0128036i | ||||
\(793\) | −8033.77 | + | 9271.46i | −0.359757 | + | 0.415182i | ||||
\(794\) | −1096.01 | + | 1264.86i | −0.0489874 | + | 0.0565345i | ||||
\(795\) | −13527.7 | + | 3972.10i | −0.603495 | + | 0.177202i | ||||
\(796\) | −14367.3 | − | 31459.9i | −0.639741 | − | 1.40084i | ||||
\(797\) | −27460.6 | + | 17647.9i | −1.22046 | + | 0.784341i | −0.982378 | − | 0.186905i | \(-0.940154\pi\) |
−0.238080 | + | 0.971246i | \(0.576518\pi\) | |||||||
\(798\) | −437.881 | − | 128.573i | −0.0194246 | − | 0.00570357i | ||||
\(799\) | −2986.61 | − | 20772.4i | −0.132239 | − | 0.919741i | ||||
\(800\) | 301.789 | − | 660.826i | 0.0133373 | − | 0.0292047i | ||||
\(801\) | 72.3327 | − | 503.085i | 0.00319070 | − | 0.0221918i | ||||
\(802\) | 3712.96 | + | 2386.18i | 0.163478 | + | 0.105061i | ||||
\(803\) | −5497.13 | − | 6344.02i | −0.241581 | − | 0.278799i | ||||
\(804\) | −252.154 | −0.0110607 | ||||||||
\(805\) | −3408.46 | − | 26711.4i | −0.149233 | − | 1.16951i | ||||
\(806\) | 5847.92 | 0.255564 | ||||||||
\(807\) | 6405.72 | + | 7392.60i | 0.279420 | + | 0.322468i | ||||
\(808\) | −947.504 | − | 608.924i | −0.0412538 | − | 0.0265122i | ||||
\(809\) | −2421.63 | + | 16842.8i | −0.105241 | + | 0.731968i | 0.867054 | + | 0.498214i | \(0.166010\pi\) |
−0.972296 | + | 0.233755i | \(0.924899\pi\) | |||||||
\(810\) | −177.226 | + | 388.070i | −0.00768775 | + | 0.0168338i | ||||
\(811\) | −1478.47 | − | 10283.0i | −0.0640150 | − | 0.445234i | −0.996470 | − | 0.0839483i | \(-0.973247\pi\) |
0.932455 | − | 0.361286i | \(-0.117662\pi\) | |||||||
\(812\) | −19756.1 | − | 5800.90i | −0.853820 | − | 0.250704i | ||||
\(813\) | −6921.31 | + | 4448.06i | −0.298574 | + | 0.191882i | ||||
\(814\) | −1088.40 | − | 2383.27i | −0.0468656 | − | 0.102621i | ||||
\(815\) | 42365.9 | − | 12439.8i | 1.82088 | − | 0.534657i | ||||
\(816\) | 9474.37 | − | 10934.0i | 0.406458 | − | 0.469077i | ||||
\(817\) | −3868.69 | + | 4464.71i | −0.165665 | + | 0.191188i | ||||
\(818\) | −258.368 | + | 75.8636i | −0.0110435 | + | 0.00324268i | ||||
\(819\) | 4912.88 | + | 10757.7i | 0.209609 | + | 0.458980i | ||||
\(820\) | −23777.1 | + | 15280.6i | −1.01260 | + | 0.650759i | ||||
\(821\) | −28580.2 | − | 8391.90i | −1.21493 | − | 0.356735i | −0.389385 | − | 0.921075i | \(-0.627313\pi\) |
−0.825543 | + | 0.564340i | \(0.809131\pi\) | |||||||
\(822\) | −288.207 | − | 2004.53i | −0.0122292 | − | 0.0850558i | ||||
\(823\) | −2909.40 | + | 6370.70i | −0.123226 | + | 0.269828i | −0.961185 | − | 0.275906i | \(-0.911022\pi\) |
0.837958 | + | 0.545735i | \(0.183749\pi\) | |||||||
\(824\) | −1543.63 | + | 10736.2i | −0.0652610 | + | 0.453900i | ||||
\(825\) | −339.422 | − | 218.133i | −0.0143238 | − | 0.00920537i | ||||
\(826\) | −3889.19 | − | 4488.36i | −0.163828 | − | 0.189068i | ||||
\(827\) | −13776.4 | −0.579266 | −0.289633 | − | 0.957138i | \(-0.593533\pi\) | ||||
−0.289633 | + | 0.957138i | \(0.593533\pi\) | |||||||
\(828\) | 3324.90 | − | 6984.77i | 0.139551 | − | 0.293161i | ||||
\(829\) | −34574.2 | −1.44850 | −0.724252 | − | 0.689535i | \(-0.757815\pi\) | ||||
−0.724252 | + | 0.689535i | \(0.757815\pi\) | |||||||
\(830\) | 5015.13 | + | 5787.77i | 0.209732 | + | 0.242044i | ||||
\(831\) | 3462.76 | + | 2225.38i | 0.144551 | + | 0.0928972i | ||||
\(832\) | 3842.57 | − | 26725.7i | 0.160117 | − | 1.11364i | ||||
\(833\) | 3496.91 | − | 7657.16i | 0.145451 | − | 0.318493i | ||||
\(834\) | −561.222 | − | 3903.38i | −0.0233016 | − | 0.162066i | ||||
\(835\) | −23950.1 | − | 7032.39i | −0.992609 | − | 0.291456i | ||||
\(836\) | 1620.52 | − | 1041.45i | 0.0670418 | − | 0.0430851i | ||||
\(837\) | −2313.61 | − | 5066.09i | −0.0955435 | − | 0.209211i | ||||
\(838\) | −332.973 | + | 97.7698i | −0.0137260 | + | 0.00403031i | ||||
\(839\) | −16490.3 | + | 19030.8i | −0.678554 | + | 0.783093i | −0.985689 | − | 0.168573i | \(-0.946084\pi\) |
0.307135 | + | 0.951666i | \(0.400630\pi\) | |||||||
\(840\) | 3451.34 | − | 3983.06i | 0.141765 | − | 0.163605i | ||||
\(841\) | 8383.52 | − | 2461.62i | 0.343742 | − | 0.100932i | ||||
\(842\) | −471.403 | − | 1032.23i | −0.0192941 | − | 0.0422481i | ||||
\(843\) | −379.102 | + | 243.634i | −0.0154887 | + | 0.00995399i | ||||
\(844\) | 7879.00 | + | 2313.48i | 0.321334 | + | 0.0943523i | ||||
\(845\) | 2753.32 | + | 19149.8i | 0.112091 | + | 0.779612i | ||||
\(846\) | 437.847 | − | 958.751i | 0.0177937 | − | 0.0389628i | ||||
\(847\) | 3265.49 | − | 22712.0i | 0.132472 | − | 0.921360i | ||||
\(848\) | 20201.2 | + | 12982.5i | 0.818058 | + | 0.525734i | ||||
\(849\) | 8316.51 | + | 9597.77i | 0.336186 | + | 0.387979i | ||||
\(850\) | 319.966 | 0.0129115 | ||||||||
\(851\) | −38722.6 | − | 12041.2i | −1.55980 | − | 0.485038i | ||||
\(852\) | 902.576 | 0.0362931 | ||||||||
\(853\) | −1252.93 | − | 1445.95i | −0.0502924 | − | 0.0580405i | 0.730046 | − | 0.683398i | \(-0.239499\pi\) |
−0.780338 | + | 0.625358i | \(0.784953\pi\) | |||||||
\(854\) | 1596.49 | + | 1026.00i | 0.0639703 | + | 0.0411112i | ||||
\(855\) | −234.002 | + | 1627.52i | −0.00935988 | + | 0.0650994i | ||||
\(856\) | −400.741 | + | 877.500i | −0.0160012 | + | 0.0350378i | ||||
\(857\) | −1604.21 | − | 11157.5i | −0.0639426 | − | 0.444730i | −0.996492 | − | 0.0836880i | \(-0.973330\pi\) |
0.932549 | − | 0.361042i | \(-0.117579\pi\) | |||||||
\(858\) | 1276.31 | + | 374.758i | 0.0507838 | + | 0.0149115i | ||||
\(859\) | −2135.11 | + | 1372.16i | −0.0848070 | + | 0.0545021i | −0.582357 | − | 0.812933i | \(-0.697869\pi\) |
0.497550 | + | 0.867435i | \(0.334233\pi\) | |||||||
\(860\) | −13984.4 | − | 30621.5i | −0.554493 | − | 1.21417i | ||||
\(861\) | −19078.1 | + | 5601.84i | −0.755145 | + | 0.221731i | ||||
\(862\) | −3477.31 | + | 4013.03i | −0.137399 | + | 0.158567i | ||||
\(863\) | −7408.35 | + | 8549.69i | −0.292217 | + | 0.337236i | −0.882807 | − | 0.469735i | \(-0.844349\pi\) |
0.590590 | + | 0.806971i | \(0.298895\pi\) | |||||||
\(864\) | 2188.62 | − | 642.636i | 0.0861785 | − | 0.0253043i | ||||
\(865\) | −18119.1 | − | 39675.2i | −0.712216 | − | 1.55953i | ||||
\(866\) | 1289.10 | − | 828.456i | 0.0505837 | − | 0.0325082i | ||||
\(867\) | 5050.95 | + | 1483.09i | 0.197854 | + | 0.0580951i | ||||
\(868\) | 4831.41 | + | 33603.2i | 0.188927 | + | 1.31402i | ||||
\(869\) | −945.568 | + | 2070.50i | −0.0369116 | + | 0.0808252i | ||||
\(870\) | 281.326 | − | 1956.66i | 0.0109630 | − | 0.0762496i | ||||
\(871\) | −564.552 | − | 362.815i | −0.0219622 | − | 0.0141143i | ||||
\(872\) | 5279.34 | + | 6092.69i | 0.205024 | + | 0.236611i | ||||
\(873\) | −4352.79 | −0.168751 | ||||||||
\(874\) | −125.539 | + | 784.482i | −0.00485859 | + | 0.0303610i | ||||
\(875\) | 28416.4 | 1.09788 | ||||||||
\(876\) | −8216.58 | − | 9482.44i | −0.316909 | − | 0.365733i | ||||
\(877\) | 36203.9 | + | 23266.8i | 1.39398 | + | 0.895856i | 0.999732 | − | 0.0231488i | \(-0.00736914\pi\) |
0.394247 | + | 0.919005i | \(0.371006\pi\) | |||||||
\(878\) | −1129.54 | + | 7856.14i | −0.0434171 | + | 0.301972i | ||||
\(879\) | −9234.61 | + | 20221.0i | −0.354352 | + | 0.775923i | ||||
\(880\) | 1519.42 | + | 10567.8i | 0.0582042 | + | 0.404819i | ||||
\(881\) | −15796.6 | − | 4638.30i | −0.604087 | − | 0.177376i | −0.0346343 | − | 0.999400i | \(-0.511027\pi\) |
−0.569453 | + | 0.822024i | \(0.692845\pi\) | |||||||
\(882\) | 355.664 | − | 228.572i | 0.0135780 | − | 0.00872608i | ||||
\(883\) | 14777.9 | + | 32359.0i | 0.563210 | + | 1.23326i | 0.950334 | + | 0.311231i | \(0.100741\pi\) |
−0.387124 | + | 0.922028i | \(0.626531\pi\) | |||||||
\(884\) | 37984.0 | − | 11153.1i | 1.44518 | − | 0.424343i | ||||
\(885\) | −14012.4 | + | 16171.2i | −0.532229 | + | 0.614225i | ||||
\(886\) | −4036.09 | + | 4657.90i | −0.153042 | + | 0.176620i | ||||
\(887\) | 30195.7 | − | 8866.25i | 1.14304 | − | 0.335625i | 0.345217 | − | 0.938523i | \(-0.387805\pi\) |
0.797818 | + | 0.602898i | \(0.205987\pi\) | |||||||
\(888\) | −3297.04 | − | 7219.51i | −0.124596 | − | 0.272828i | ||||
\(889\) | −3172.21 | + | 2038.66i | −0.119677 | + | 0.0769116i | ||||
\(890\) | −285.393 | − | 83.7990i | −0.0107488 | − | 0.00315612i | ||||
\(891\) | −180.289 | − | 1253.94i | −0.00677881 | − | 0.0471476i | ||||
\(892\) | −6470.90 | + | 14169.3i | −0.242894 | + | 0.531865i | ||||
\(893\) | 578.116 | − | 4020.88i | 0.0216639 | − | 0.150676i | ||||
\(894\) | 1729.73 | + | 1111.63i | 0.0647101 | + | 0.0415867i | ||||
\(895\) | 17470.8 | + | 20162.3i | 0.652495 | + | 0.753020i | ||||
\(896\) | −18451.4 | −0.687966 | ||||||||
\(897\) | 17494.3 | − | 10854.2i | 0.651190 | − | 0.404027i | ||||
\(898\) | 5249.07 | 0.195060 | ||||||||
\(899\) | 16899.4 | + | 19502.9i | 0.626948 | + | 0.723537i | ||||
\(900\) | −507.336 | − | 326.045i | −0.0187902 | − | 0.0120757i | ||||
\(901\) | −4724.97 | + | 32862.9i | −0.174707 | + | 1.21512i | ||||
\(902\) | −929.043 | + | 2034.32i | −0.0342946 | + | 0.0750947i | ||||
\(903\) | −3370.33 | − | 23441.2i | −0.124206 | − | 0.863869i | ||||
\(904\) | 14370.4 | + | 4219.53i | 0.528708 | + | 0.155243i | ||||
\(905\) | −11665.4 | + | 7496.92i | −0.428478 | + | 0.275366i | ||||
\(906\) | 1441.43 | + | 3156.30i | 0.0528570 | + | 0.115741i | ||||
\(907\) | 11315.6 | − | 3322.56i | 0.414254 | − | 0.121636i | −0.0679626 | − | 0.997688i | \(-0.521650\pi\) |
0.482217 | + | 0.876052i | \(0.339832\pi\) | |||||||
\(908\) | 15987.4 | − | 18450.5i | 0.584319 | − | 0.674340i | ||||
\(909\) | −922.446 | + | 1064.56i | −0.0336585 | + | 0.0388440i | ||||
\(910\) | 6640.68 | − | 1949.88i | 0.241908 | − | 0.0710307i | ||||
\(911\) | −17442.3 | − | 38193.2i | −0.634345 | − | 1.38902i | −0.904612 | − | 0.426236i | \(-0.859839\pi\) |
0.270267 | − | 0.962785i | \(-0.412888\pi\) | |||||||
\(912\) | 2355.94 | − | 1514.07i | 0.0855405 | − | 0.0549735i | ||||
\(913\) | −21819.8 | − | 6406.86i | −0.790941 | − | 0.232241i | ||||
\(914\) | −780.600 | − | 5429.19i | −0.0282494 | − | 0.196479i | ||||
\(915\) | 2840.37 | − | 6219.54i | 0.102623 | − | 0.224712i | ||||
\(916\) | 1549.04 | − | 10773.8i | 0.0558751 | − | 0.388620i | ||||
\(917\) | −14250.7 | − | 9158.40i | −0.513196 | − | 0.329811i | ||||
\(918\) | 657.899 | + | 759.256i | 0.0236535 | + | 0.0272976i | ||||
\(919\) | 30253.5 | 1.08593 | 0.542965 | − | 0.839755i | \(-0.317302\pi\) | ||||
0.542965 | + | 0.839755i | \(0.317302\pi\) | |||||||
\(920\) | −7638.61 | − | 5082.25i | −0.273736 | − | 0.182127i | ||||
\(921\) | −16271.1 | −0.582139 | ||||||||
\(922\) | −5011.92 | − | 5784.07i | −0.179023 | − | 0.206603i | ||||
\(923\) | 2020.79 | + | 1298.68i | 0.0720640 | + | 0.0463127i | ||||
\(924\) | −1098.97 | + | 7643.50i | −0.0391271 | + | 0.272135i | ||||
\(925\) | −1313.28 | + | 2875.67i | −0.0466813 | + | 0.102218i | ||||
\(926\) | 313.643 | + | 2181.44i | 0.0111306 | + | 0.0774152i | ||||
\(927\) | 13015.9 | + | 3821.81i | 0.461163 | + | 0.135410i | ||||
\(928\) | −8891.39 | + | 5714.15i | −0.314519 | + | 0.202129i | ||||
\(929\) | −1979.16 | − | 4333.76i | −0.0698968 | − | 0.153053i | 0.871459 | − | 0.490469i | \(-0.163174\pi\) |
−0.941356 | + | 0.337416i | \(0.890447\pi\) | |||||||
\(930\) | −3127.27 | + | 918.251i | −0.110266 | + | 0.0323770i | ||||
\(931\) | 1067.06 | − | 1231.45i | 0.0375632 | − | 0.0433502i | ||||
\(932\) | −34667.5 | + | 40008.4i | −1.21842 | + | 1.40614i | ||||
\(933\) | −16966.1 | + | 4981.69i | −0.595332 | + | 0.174805i | ||||
\(934\) | −678.368 | − | 1485.42i | −0.0237654 | − | 0.0520390i | ||||
\(935\) | −12418.0 | + | 7980.58i | −0.434345 | + | 0.279137i | ||||
\(936\) | 3866.25 | + | 1135.23i | 0.135013 | + | 0.0396434i | ||||
\(937\) | −2102.08 | − | 14620.3i | −0.0732891 | − | 0.509737i | −0.993090 | − | 0.117352i | \(-0.962559\pi\) |
0.919801 | − | 0.392385i | \(-0.128350\pi\) | |||||||
\(938\) | −43.1248 | + | 94.4301i | −0.00150115 | + | 0.00328705i | ||||
\(939\) | 3578.32 | − | 24887.8i | 0.124360 | − | 0.864943i | ||||
\(940\) | 19473.2 | + | 12514.7i | 0.675688 | + | 0.434238i | ||||
\(941\) | 1702.36 | + | 1964.63i | 0.0589750 | + | 0.0680608i | 0.784471 | − | 0.620166i | \(-0.212935\pi\) |
−0.725496 | + | 0.688227i | \(0.758389\pi\) | |||||||
\(942\) | −1082.96 | −0.0374573 | ||||||||
\(943\) | 13877.4 | + | 31710.5i | 0.479225 | + | 1.09505i | ||||
\(944\) | 36444.5 | 1.25653 | ||||||||
\(945\) | −4316.44 | − | 4981.43i | −0.148586 | − | 0.171477i | ||||
\(946\) | −2240.83 | − | 1440.10i | −0.0770146 | − | 0.0494943i | ||||
\(947\) | 3808.18 | − | 26486.5i | 0.130675 | − | 0.908865i | −0.814002 | − | 0.580862i | \(-0.802716\pi\) |
0.944677 | − | 0.328002i | \(-0.106375\pi\) | |||||||
\(948\) | −1413.35 | + | 3094.79i | −0.0484212 | + | 0.106028i | ||||
\(949\) | −4752.29 | − | 33052.9i | −0.162556 | − | 1.13060i | ||||
\(950\) | 59.4267 | + | 17.4493i | 0.00202953 | + | 0.000595925i | ||||
\(951\) | 19912.9 | − | 12797.2i | 0.678990 | − | 0.436361i | ||||
\(952\) | −5155.69 | − | 11289.4i | −0.175522 | − | 0.384339i | ||||
\(953\) | −6922.17 | + | 2032.53i | −0.235290 | + | 0.0690873i | −0.397252 | − | 0.917710i | \(-0.630036\pi\) |
0.161962 | + | 0.986797i | \(0.448218\pi\) | |||||||
\(954\) | −1091.96 | + | 1260.19i | −0.0370583 | + | 0.0427676i | ||||
\(955\) | 17117.1 | − | 19754.2i | 0.579996 | − | 0.669352i | ||||
\(956\) | 13155.5 | − | 3862.80i | 0.445062 | − | 0.130682i | ||||
\(957\) | 2438.47 | + | 5339.50i | 0.0823662 | + | 0.180357i | ||||
\(958\) | 4491.58 | − | 2886.56i | 0.151479 | − | 0.0973493i | ||||
\(959\) | 30021.2 | + | 8815.03i | 1.01088 | + | 0.296822i | ||||
\(960\) | 2141.63 | + | 14895.4i | 0.0720008 | + | 0.500777i | ||||
\(961\) | 5299.77 | − | 11604.9i | 0.177898 | − | 0.389543i | ||||
\(962\) | 1483.28 | − | 10316.5i | 0.0497121 | − | 0.345755i | ||||
\(963\) | 1014.95 | + | 652.271i | 0.0339630 | + | 0.0218267i | ||||
\(964\) | 1827.68 | + | 2109.25i | 0.0610638 | + | 0.0704714i | ||||
\(965\) | 42301.2 | 1.41111 | ||||||||
\(966\) | −2047.11 | − | 2439.73i | −0.0681828 | − | 0.0812598i | ||||
\(967\) | −28193.4 | −0.937580 | −0.468790 | − | 0.883310i | \(-0.655310\pi\) | ||||
−0.468790 | + | 0.883310i | \(0.655310\pi\) | |||||||
\(968\) | −5119.65 | − | 5908.39i | −0.169992 | − | 0.196181i | ||||
\(969\) | 3257.33 | + | 2093.36i | 0.107988 | + | 0.0693998i | ||||
\(970\) | −362.523 | + | 2521.40i | −0.0119999 | + | 0.0834612i | ||||
\(971\) | 23013.0 | − | 50391.4i | 0.760578 | − | 1.66543i | 0.0142107 | − | 0.999899i | \(-0.495476\pi\) |
0.746367 | − | 0.665534i | \(-0.231796\pi\) | |||||||
\(972\) | −269.479 | − | 1874.27i | −0.00889254 | − | 0.0618490i | ||||
\(973\) | 58459.9 | + | 17165.4i | 1.92615 | + | 0.565567i | ||||
\(974\) | −2921.30 | + | 1877.41i | −0.0961033 | + | 0.0617618i | ||||
\(975\) | −666.748 | − | 1459.97i | −0.0219005 | − | 0.0479555i | ||||
\(976\) | −11173.8 | + | 3280.94i | −0.366461 | + | 0.107603i | ||||
\(977\) | 30257.9 | − | 34919.4i | 0.990824 | − | 1.14347i | 0.00116925 | − | 0.999999i | \(-0.499628\pi\) |
0.989654 | − | 0.143472i | \(-0.0458267\pi\) | |||||||
\(978\) | 3419.80 | − | 3946.66i | 0.111813 | − | 0.129039i | ||||
\(979\) | 847.459 | − | 248.836i | 0.0276659 | − | 0.00812344i | ||||
\(980\) | 3857.15 | + | 8445.98i | 0.125727 | + | 0.275303i | ||||
\(981\) | 8481.95 | − | 5451.02i | 0.276053 | − | 0.177408i | ||||
\(982\) | −629.183 | − | 184.745i | −0.0204461 | − | 0.00600351i | ||||
\(983\) | −6864.29 | − | 47742.2i | −0.222723 | − | 1.54907i | −0.727673 | − | 0.685924i | \(-0.759398\pi\) |
0.504950 | − | 0.863148i | \(-0.331511\pi\) | |||||||
\(984\) | −2814.29 | + | 6162.44i | −0.0911752 | + | 0.199646i | ||||
\(985\) | −6887.66 | + | 47904.7i | −0.222801 | + | 1.54962i | ||||
\(986\) | −3916.08 | − | 2516.71i | −0.126484 | − | 0.0812865i | ||||
\(987\) | 10664.0 | + | 12306.9i | 0.343910 | + | 0.396894i | ||||
\(988\) | 7662.92 | 0.246751 | ||||||||
\(989\) | −39736.5 | + | 10985.3i | −1.27760 | + | 0.353197i | ||||
\(990\) | −741.373 | −0.0238004 | ||||||||
\(991\) | −11879.7 | − | 13710.0i | −0.380800 | − | 0.439466i | 0.532701 | − | 0.846304i | \(-0.321177\pi\) |
−0.913501 | + | 0.406837i | \(0.866632\pi\) | |||||||
\(992\) | 14660.0 | + | 9421.42i | 0.469210 | + | 0.301543i | ||||
\(993\) | 901.470 | − | 6269.86i | 0.0288089 | − | 0.200371i | ||||
\(994\) | 154.363 | − | 338.008i | 0.00492566 | − | 0.0107857i | ||||
\(995\) | 7300.88 | + | 50778.7i | 0.232616 | + | 1.61788i | ||||
\(996\) | −32614.1 | − | 9576.37i | −1.03757 | − | 0.304658i | ||||
\(997\) | 41288.6 | − | 26534.6i | 1.31156 | − | 0.842887i | 0.317138 | − | 0.948379i | \(-0.397278\pi\) |
0.994420 | + | 0.105492i | \(0.0336417\pi\) | |||||||
\(998\) | 4046.83 | + | 8861.32i | 0.128357 | + | 0.281062i | ||||
\(999\) | −9524.05 | + | 2796.51i | −0.301629 | + | 0.0885663i |
(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 | 69.4.e.b.13.3 | ✓ | 60 | |
3.2 | odd | 2 | 207.4.i.b.82.4 | 60 | |||
23.4 | even | 11 | 1587.4.a.w.1.16 | 30 | |||
23.16 | even | 11 | inner | 69.4.e.b.16.3 | yes | 60 | |
23.19 | odd | 22 | 1587.4.a.v.1.16 | 30 | |||
69.62 | odd | 22 | 207.4.i.b.154.4 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.b.13.3 | ✓ | 60 | 1.1 | even | 1 | trivial | |
69.4.e.b.16.3 | yes | 60 | 23.16 | even | 11 | inner | |
207.4.i.b.82.4 | 60 | 3.2 | odd | 2 | |||
207.4.i.b.154.4 | 60 | 69.62 | odd | 22 | |||
1587.4.a.v.1.16 | 30 | 23.19 | odd | 22 | |||
1587.4.a.w.1.16 | 30 | 23.4 | even | 11 |