Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(5,69)]
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([11, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.g (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(220\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 69.5 |
Dual form | 69.4.g.a.14.3 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20747 | + | 4.11226i | −0.426905 | + | 1.45390i | 0.412780 | + | 0.910831i | \(0.364558\pi\) |
−0.839685 | + | 0.543074i | \(0.817260\pi\) | |||||||
\(3\) | −2.48738 | + | 4.56212i | −0.478696 | + | 0.877981i | ||||
\(4\) | −8.72270 | − | 5.60574i | −1.09034 | − | 0.700718i | ||||
\(5\) | 2.62405 | − | 18.2506i | 0.234702 | − | 1.63239i | −0.442626 | − | 0.896706i | \(-0.645953\pi\) |
0.677328 | − | 0.735681i | \(-0.263138\pi\) | |||||||
\(6\) | −15.7572 | − | 15.7374i | −1.07214 | − | 1.07079i | ||||
\(7\) | −25.3847 | + | 11.5928i | −1.37065 | + | 0.625954i | −0.958481 | − | 0.285155i | \(-0.907955\pi\) |
−0.412166 | + | 0.911109i | \(0.635228\pi\) | |||||||
\(8\) | 7.67232 | − | 6.64810i | 0.339072 | − | 0.293807i | ||||
\(9\) | −14.6259 | − | 22.6954i | −0.541700 | − | 0.840572i | ||||
\(10\) | 71.8830 | + | 32.8279i | 2.27314 | + | 1.03811i | ||||
\(11\) | 24.0678 | − | 7.06695i | 0.659701 | − | 0.193706i | 0.0652893 | − | 0.997866i | \(-0.479203\pi\) |
0.594412 | + | 0.804161i | \(0.297385\pi\) | |||||||
\(12\) | 47.2707 | − | 25.8504i | 1.13716 | − | 0.621865i | ||||
\(13\) | −0.705375 | + | 1.54456i | −0.0150489 | + | 0.0329525i | −0.917007 | − | 0.398871i | \(-0.869402\pi\) |
0.901958 | + | 0.431823i | \(0.142130\pi\) | |||||||
\(14\) | −17.0214 | − | 118.387i | −0.324941 | − | 2.26001i | ||||
\(15\) | 76.7347 | + | 57.3675i | 1.32085 | + | 0.987481i | ||||
\(16\) | −16.3838 | − | 35.8756i | −0.255998 | − | 0.560556i | ||||
\(17\) | −52.8295 | + | 33.9515i | −0.753708 | + | 0.484379i | −0.860214 | − | 0.509933i | \(-0.829670\pi\) |
0.106506 | + | 0.994312i | \(0.466034\pi\) | |||||||
\(18\) | 110.990 | − | 32.7416i | 1.45337 | − | 0.428737i | ||||
\(19\) | −65.0758 | + | 101.260i | −0.785758 | + | 1.22266i | 0.185032 | + | 0.982733i | \(0.440761\pi\) |
−0.970790 | + | 0.239931i | \(0.922875\pi\) | |||||||
\(20\) | −125.197 | + | 144.485i | −1.39975 | + | 1.61539i | ||||
\(21\) | 10.2536 | − | 144.644i | 0.106548 | − | 1.50304i | ||||
\(22\) | 107.506i | 1.04184i | ||||||||
\(23\) | −68.3459 | − | 86.5785i | −0.619613 | − | 0.784907i | ||||
\(24\) | 11.2455 | + | 51.5384i | 0.0956449 | + | 0.438343i | ||||
\(25\) | −206.264 | − | 60.5645i | −1.65011 | − | 0.484516i | ||||
\(26\) | −5.49990 | − | 4.76569i | −0.0414854 | − | 0.0359473i | ||||
\(27\) | 139.919 | − | 10.2731i | 0.997315 | − | 0.0732243i | ||||
\(28\) | 286.410 | + | 41.1795i | 1.93309 | + | 0.277936i | ||||
\(29\) | −31.6852 | − | 49.3031i | −0.202889 | − | 0.315702i | 0.724867 | − | 0.688889i | \(-0.241901\pi\) |
−0.927756 | + | 0.373187i | \(0.878265\pi\) | |||||||
\(30\) | −328.565 | + | 246.284i | −1.99958 | + | 1.49884i | ||||
\(31\) | −39.6835 | − | 45.7972i | −0.229915 | − | 0.265336i | 0.629056 | − | 0.777360i | \(-0.283442\pi\) |
−0.858971 | + | 0.512023i | \(0.828896\pi\) | |||||||
\(32\) | 247.702 | − | 35.6141i | 1.36837 | − | 0.196742i | ||||
\(33\) | −27.6254 | + | 127.378i | −0.145726 | + | 0.671931i | ||||
\(34\) | −75.8274 | − | 258.244i | −0.382479 | − | 1.30260i | ||||
\(35\) | 144.966 | + | 493.708i | 0.700105 | + | 2.38434i | ||||
\(36\) | 0.352754 | + | 279.955i | 0.00163312 | + | 1.29609i | ||||
\(37\) | −214.251 | + | 30.8047i | −0.951964 | + | 0.136872i | −0.600762 | − | 0.799428i | \(-0.705136\pi\) |
−0.351202 | + | 0.936300i | \(0.614227\pi\) | |||||||
\(38\) | −337.830 | − | 389.877i | −1.44219 | − | 1.66438i | ||||
\(39\) | −5.29192 | − | 7.05990i | −0.0217278 | − | 0.0289869i | ||||
\(40\) | −101.200 | − | 157.470i | −0.400027 | − | 0.622454i | ||||
\(41\) | −189.649 | − | 27.2674i | −0.722395 | − | 0.103865i | −0.228696 | − | 0.973498i | \(-0.573446\pi\) |
−0.493698 | + | 0.869633i | \(0.664355\pi\) | |||||||
\(42\) | 582.434 | + | 216.819i | 2.13980 | + | 0.796567i | ||||
\(43\) | 267.774 | + | 232.027i | 0.949654 | + | 0.822880i | 0.984297 | − | 0.176520i | \(-0.0564839\pi\) |
−0.0346428 | + | 0.999400i | \(0.511029\pi\) | |||||||
\(44\) | −249.552 | − | 73.2750i | −0.855031 | − | 0.251060i | ||||
\(45\) | −452.585 | + | 207.378i | −1.49928 | + | 0.686981i | ||||
\(46\) | 438.559 | − | 176.515i | 1.40570 | − | 0.565778i | ||||
\(47\) | 230.534i | 0.715465i | 0.933824 | + | 0.357732i | \(0.116450\pi\) | ||||
−0.933824 | + | 0.357732i | \(0.883550\pi\) | |||||||
\(48\) | 204.422 | + | 14.4911i | 0.614703 | + | 0.0435752i | ||||
\(49\) | 285.374 | − | 329.340i | 0.831995 | − | 0.960174i | ||||
\(50\) | 498.114 | − | 775.081i | 1.40888 | − | 2.19226i | ||||
\(51\) | −23.4838 | − | 325.465i | −0.0644783 | − | 0.893612i | ||||
\(52\) | 14.8112 | − | 9.51855i | 0.0394988 | − | 0.0253843i | ||||
\(53\) | 66.7132 | + | 146.082i | 0.172901 | + | 0.378601i | 0.976167 | − | 0.217020i | \(-0.0696335\pi\) |
−0.803266 | + | 0.595620i | \(0.796906\pi\) | |||||||
\(54\) | −126.703 | + | 587.790i | −0.319298 | + | 1.48126i | ||||
\(55\) | −65.8213 | − | 457.797i | −0.161370 | − | 1.12235i | ||||
\(56\) | −117.690 | + | 257.704i | −0.280838 | + | 0.614950i | ||||
\(57\) | −300.092 | − | 548.755i | −0.697336 | − | 1.27516i | ||||
\(58\) | 241.006 | − | 70.7658i | 0.545615 | − | 0.160207i | ||||
\(59\) | −134.973 | − | 61.6403i | −0.297831 | − | 0.136015i | 0.260895 | − | 0.965367i | \(-0.415982\pi\) |
−0.558726 | + | 0.829352i | \(0.688710\pi\) | |||||||
\(60\) | −347.747 | − | 930.554i | −0.748232 | − | 2.00223i | ||||
\(61\) | 34.5962 | − | 29.9778i | 0.0726162 | − | 0.0629223i | −0.617796 | − | 0.786338i | \(-0.711974\pi\) |
0.690413 | + | 0.723416i | \(0.257429\pi\) | |||||||
\(62\) | 236.247 | − | 107.890i | 0.483926 | − | 0.221002i | ||||
\(63\) | 634.379 | + | 406.562i | 1.26864 | + | 0.813048i | ||||
\(64\) | −107.735 | + | 749.312i | −0.210420 | + | 1.46350i | ||||
\(65\) | 26.3382 | + | 16.9265i | 0.0502593 | + | 0.0322997i | ||||
\(66\) | −490.457 | − | 267.409i | −0.914713 | − | 0.498723i | ||||
\(67\) | −268.027 | + | 912.817i | −0.488727 | + | 1.66445i | 0.233157 | + | 0.972439i | \(0.425094\pi\) |
−0.721884 | + | 0.692014i | \(0.756724\pi\) | |||||||
\(68\) | 651.140 | 1.16121 | ||||||||
\(69\) | 564.984 | − | 96.4490i | 0.985740 | − | 0.168277i | ||||
\(70\) | −2205.30 | −3.76548 | ||||||||
\(71\) | −52.4218 | + | 178.532i | −0.0876243 | + | 0.298421i | −0.991632 | − | 0.129095i | \(-0.958793\pi\) |
0.904008 | + | 0.427516i | \(0.140611\pi\) | |||||||
\(72\) | −263.096 | − | 76.8921i | −0.430641 | − | 0.125859i | ||||
\(73\) | 753.496 | + | 484.242i | 1.20808 | + | 0.776387i | 0.980336 | − | 0.197333i | \(-0.0632282\pi\) |
0.227746 | + | 0.973721i | \(0.426865\pi\) | |||||||
\(74\) | 132.025 | − | 918.253i | 0.207400 | − | 1.44250i | ||||
\(75\) | 789.358 | − | 790.354i | 1.21530 | − | 1.21683i | ||||
\(76\) | 1135.27 | − | 518.462i | 1.71348 | − | 0.782522i | ||||
\(77\) | −529.029 | + | 458.406i | −0.782967 | + | 0.678445i | ||||
\(78\) | 35.4220 | − | 13.2372i | 0.0514199 | − | 0.0192155i | ||||
\(79\) | −1008.40 | − | 460.521i | −1.43612 | − | 0.655856i | −0.463047 | − | 0.886334i | \(-0.653244\pi\) |
−0.973078 | + | 0.230478i | \(0.925971\pi\) | |||||||
\(80\) | −697.745 | + | 204.876i | −0.975128 | + | 0.286323i | ||||
\(81\) | −301.165 | + | 663.883i | −0.413121 | + | 0.910676i | ||||
\(82\) | 341.126 | − | 746.962i | 0.459403 | − | 1.00595i | ||||
\(83\) | −127.413 | − | 886.180i | −0.168499 | − | 1.17194i | −0.881988 | − | 0.471272i | \(-0.843795\pi\) |
0.713489 | − | 0.700667i | \(-0.247114\pi\) | |||||||
\(84\) | −900.276 | + | 1204.21i | −1.16938 | + | 1.56417i | ||||
\(85\) | 481.009 | + | 1053.26i | 0.613797 | + | 1.34403i | ||||
\(86\) | −1277.49 | + | 820.991i | −1.60180 | + | 1.02942i | ||||
\(87\) | 303.740 | − | 21.9162i | 0.374302 | − | 0.0270077i | ||||
\(88\) | 137.674 | − | 214.225i | 0.166774 | − | 0.259505i | ||||
\(89\) | 426.128 | − | 491.778i | 0.507522 | − | 0.585712i | −0.442940 | − | 0.896551i | \(-0.646065\pi\) |
0.950463 | + | 0.310839i | \(0.100610\pi\) | |||||||
\(90\) | −306.312 | − | 2111.55i | −0.358757 | − | 2.47308i | ||||
\(91\) | − | 47.3854i | − | 0.0545862i | ||||||
\(92\) | 110.824 | + | 1138.33i | 0.125590 | + | 1.28999i | ||||
\(93\) | 307.641 | − | 67.1261i | 0.343020 | − | 0.0748458i | ||||
\(94\) | −948.017 | − | 278.363i | −1.04022 | − | 0.305436i | ||||
\(95\) | 1677.30 | + | 1453.39i | 1.81144 | + | 1.56962i | ||||
\(96\) | −453.652 | + | 1218.63i | −0.482298 | + | 1.29558i | ||||
\(97\) | 504.434 | + | 72.5266i | 0.528015 | + | 0.0759171i | 0.401167 | − | 0.916005i | \(-0.368605\pi\) |
0.126848 | + | 0.991922i | \(0.459514\pi\) | |||||||
\(98\) | 1009.75 | + | 1571.20i | 1.04082 | + | 1.61955i | ||||
\(99\) | −512.401 | − | 442.869i | −0.520184 | − | 0.449596i | ||||
\(100\) | 1459.67 | + | 1684.55i | 1.45967 | + | 1.68455i | ||||
\(101\) | 1109.31 | − | 159.495i | 1.09288 | − | 0.157132i | 0.427775 | − | 0.903885i | \(-0.359297\pi\) |
0.665101 | + | 0.746753i | \(0.268388\pi\) | |||||||
\(102\) | 1366.75 | + | 296.417i | 1.32675 | + | 0.287742i | ||||
\(103\) | −309.534 | − | 1054.17i | −0.296109 | − | 1.00846i | −0.964376 | − | 0.264534i | \(-0.914782\pi\) |
0.668267 | − | 0.743921i | \(-0.267036\pi\) | |||||||
\(104\) | 4.85650 | + | 16.5397i | 0.00457903 | + | 0.0155948i | ||||
\(105\) | −2612.94 | − | 566.687i | −2.42854 | − | 0.526695i | ||||
\(106\) | −681.280 | + | 97.9533i | −0.624262 | + | 0.0897553i | ||||
\(107\) | 404.223 | + | 466.498i | 0.365212 | + | 0.421477i | 0.908379 | − | 0.418147i | \(-0.137320\pi\) |
−0.543167 | + | 0.839625i | \(0.682775\pi\) | |||||||
\(108\) | −1278.06 | − | 694.743i | −1.13872 | − | 0.618997i | ||||
\(109\) | −228.582 | − | 355.681i | −0.200864 | − | 0.312551i | 0.726179 | − | 0.687506i | \(-0.241295\pi\) |
−0.927043 | + | 0.374955i | \(0.877658\pi\) | |||||||
\(110\) | 1962.06 | + | 282.101i | 1.70068 | + | 0.244521i | ||||
\(111\) | 392.389 | − | 1054.06i | 0.335531 | − | 0.901326i | ||||
\(112\) | 831.799 | + | 720.758i | 0.701765 | + | 0.608083i | ||||
\(113\) | −1859.03 | − | 545.860i | −1.54764 | − | 0.454427i | −0.607243 | − | 0.794517i | \(-0.707724\pi\) |
−0.940393 | + | 0.340090i | \(0.889543\pi\) | |||||||
\(114\) | 2618.98 | − | 571.452i | 2.15166 | − | 0.469486i | ||||
\(115\) | −1759.46 | + | 1020.17i | −1.42670 | + | 0.827230i | ||||
\(116\) | 607.675i | 0.486390i | ||||||||
\(117\) | 45.3711 | − | 6.58174i | 0.0358510 | − | 0.00520070i | ||||
\(118\) | 416.457 | − | 480.617i | 0.324898 | − | 0.374953i | ||||
\(119\) | 947.471 | − | 1474.29i | 0.729870 | − | 1.13570i | ||||
\(120\) | 970.118 | − | 69.9985i | 0.737993 | − | 0.0532497i | ||||
\(121\) | −590.391 | + | 379.421i | −0.443569 | + | 0.285065i | ||||
\(122\) | 81.5026 | + | 178.466i | 0.0604828 | + | 0.132439i | ||||
\(123\) | 596.126 | − | 797.377i | 0.436999 | − | 0.584529i | ||||
\(124\) | 89.4202 | + | 621.931i | 0.0647595 | + | 0.450412i | ||||
\(125\) | −689.143 | + | 1509.01i | −0.493110 | + | 1.07976i | ||||
\(126\) | −2437.88 | + | 2117.82i | −1.72368 | + | 1.49739i | ||||
\(127\) | 48.3083 | − | 14.1846i | 0.0337533 | − | 0.00991086i | −0.264812 | − | 0.964300i | \(-0.585310\pi\) |
0.298566 | + | 0.954389i | \(0.403492\pi\) | |||||||
\(128\) | −1130.21 | − | 516.148i | −0.780446 | − | 0.356418i | ||||
\(129\) | −1724.59 | + | 644.478i | −1.17707 | + | 0.439869i | ||||
\(130\) | −101.409 | + | 87.8714i | −0.0684166 | + | 0.0592833i | ||||
\(131\) | 1038.90 | − | 474.449i | 0.692893 | − | 0.316433i | −0.0376592 | − | 0.999291i | \(-0.511990\pi\) |
0.730552 | + | 0.682857i | \(0.239263\pi\) | |||||||
\(132\) | 955.019 | − | 956.223i | 0.629725 | − | 0.630519i | ||||
\(133\) | 478.044 | − | 3324.87i | 0.311667 | − | 2.16769i | ||||
\(134\) | −3430.11 | − | 2204.40i | −2.21132 | − | 1.42113i | ||||
\(135\) | 179.665 | − | 2580.58i | 0.114541 | − | 1.64519i | ||||
\(136\) | −179.612 | + | 611.703i | −0.113247 | + | 0.385684i | ||||
\(137\) | −793.420 | −0.494792 | −0.247396 | − | 0.968915i | \(-0.579575\pi\) | ||||
−0.247396 | + | 0.968915i | \(0.579575\pi\) | |||||||
\(138\) | −285.577 | + | 2439.82i | −0.176159 | + | 1.50501i | ||||
\(139\) | 379.810 | 0.231763 | 0.115881 | − | 0.993263i | \(-0.463031\pi\) | ||||
0.115881 | + | 0.993263i | \(0.463031\pi\) | |||||||
\(140\) | 1503.11 | − | 5119.11i | 0.907397 | − | 3.09031i | ||||
\(141\) | −1051.72 | − | 573.425i | −0.628164 | − | 0.342490i | ||||
\(142\) | −670.874 | − | 431.145i | −0.396468 | − | 0.254795i | ||||
\(143\) | −6.06154 | + | 42.1589i | −0.00354469 | + | 0.0246539i | ||||
\(144\) | −574.584 | + | 896.552i | −0.332514 | + | 0.518838i | ||||
\(145\) | −982.956 | + | 448.901i | −0.562966 | + | 0.257098i | ||||
\(146\) | −2901.16 | + | 2513.87i | −1.64453 | + | 1.42499i | ||||
\(147\) | 792.654 | + | 2121.10i | 0.444741 | + | 1.19011i | ||||
\(148\) | 2041.53 | + | 932.336i | 1.13387 | + | 0.517821i | ||||
\(149\) | 232.786 | − | 68.3522i | 0.127991 | − | 0.0375814i | −0.217110 | − | 0.976147i | \(-0.569663\pi\) |
0.345100 | + | 0.938566i | \(0.387845\pi\) | |||||||
\(150\) | 2297.02 | + | 4200.38i | 1.25034 | + | 2.28640i | ||||
\(151\) | −85.4722 | + | 187.158i | −0.0460638 | + | 0.100866i | −0.931265 | − | 0.364343i | \(-0.881293\pi\) |
0.885201 | + | 0.465209i | \(0.154021\pi\) | |||||||
\(152\) | 173.904 | + | 1209.53i | 0.0927991 | + | 0.645432i | ||||
\(153\) | 1543.22 | + | 702.418i | 0.815439 | + | 0.371158i | ||||
\(154\) | −1246.30 | − | 2729.02i | −0.652142 | − | 1.42799i | ||||
\(155\) | −939.961 | + | 604.076i | −0.487093 | + | 0.313036i | ||||
\(156\) | 6.58386 | + | 91.2465i | 0.00337905 | + | 0.0468306i | ||||
\(157\) | 24.7058 | − | 38.4429i | 0.0125588 | − | 0.0195419i | −0.834917 | − | 0.550375i | \(-0.814485\pi\) |
0.847476 | + | 0.530833i | \(0.178121\pi\) | |||||||
\(158\) | 3111.39 | − | 3590.74i | 1.56664 | − | 1.80800i | ||||
\(159\) | −832.383 | − | 59.0061i | −0.415171 | − | 0.0294308i | ||||
\(160\) | − | 4614.17i | − | 2.27989i | ||||||
\(161\) | 2738.63 | + | 1405.45i | 1.34059 | + | 0.687982i | ||||
\(162\) | −2366.41 | − | 2040.09i | −1.14767 | − | 0.989411i | ||||
\(163\) | 1332.49 | + | 391.253i | 0.640297 | + | 0.188008i | 0.585736 | − | 0.810502i | \(-0.300806\pi\) |
0.0545615 | + | 0.998510i | \(0.482624\pi\) | |||||||
\(164\) | 1501.40 | + | 1300.97i | 0.714875 | + | 0.619442i | ||||
\(165\) | 2252.25 | + | 838.429i | 1.06265 | + | 0.395585i | ||||
\(166\) | 3798.05 | + | 546.078i | 1.77582 | + | 0.255324i | ||||
\(167\) | −1828.74 | − | 2845.58i | −0.847380 | − | 1.31855i | −0.946246 | − | 0.323448i | \(-0.895158\pi\) |
0.0988662 | − | 0.995101i | \(-0.468478\pi\) | |||||||
\(168\) | −882.940 | − | 1177.92i | −0.405478 | − | 0.540944i | ||||
\(169\) | 1436.84 | + | 1658.20i | 0.654001 | + | 0.754758i | ||||
\(170\) | −4912.10 | + | 706.253i | −2.21612 | + | 0.318630i | ||||
\(171\) | 3249.93 | − | 4.09504i | 1.45338 | − | 0.00183132i | ||||
\(172\) | −1035.03 | − | 3524.98i | −0.458837 | − | 1.56266i | ||||
\(173\) | −567.470 | − | 1932.63i | −0.249387 | − | 0.849334i | −0.985091 | − | 0.172031i | \(-0.944967\pi\) |
0.735704 | − | 0.677303i | \(-0.236851\pi\) | |||||||
\(174\) | −276.631 | + | 1275.52i | −0.120525 | + | 0.555730i | ||||
\(175\) | 5938.07 | − | 853.765i | 2.56500 | − | 0.368792i | ||||
\(176\) | −647.854 | − | 747.663i | −0.277465 | − | 0.320212i | ||||
\(177\) | 616.940 | − | 462.442i | 0.261989 | − | 0.196380i | ||||
\(178\) | 1507.78 | + | 2346.16i | 0.634906 | + | 0.987933i | ||||
\(179\) | −1129.17 | − | 162.349i | −0.471496 | − | 0.0677909i | −0.0975285 | − | 0.995233i | \(-0.531094\pi\) |
−0.373967 | + | 0.927442i | \(0.622003\pi\) | |||||||
\(180\) | 5110.28 | + | 728.176i | 2.11610 | + | 0.301528i | ||||
\(181\) | −413.009 | − | 357.874i | −0.169606 | − | 0.146965i | 0.565922 | − | 0.824459i | \(-0.308520\pi\) |
−0.735528 | + | 0.677494i | \(0.763066\pi\) | |||||||
\(182\) | 194.861 | + | 57.2165i | 0.0793631 | + | 0.0233031i | ||||
\(183\) | 50.7084 | + | 232.398i | 0.0204835 | + | 0.0938762i | ||||
\(184\) | −1099.95 | − | 209.887i | −0.440705 | − | 0.0840929i | ||||
\(185\) | 3991.05i | 1.58610i | ||||||||
\(186\) | −95.4263 | + | 1346.15i | −0.0376183 | + | 0.530670i | ||||
\(187\) | −1031.56 | + | 1190.48i | −0.403396 | + | 0.465543i | ||||
\(188\) | 1292.31 | − | 2010.88i | 0.501339 | − | 0.780098i | ||||
\(189\) | −3432.73 | + | 1882.84i | −1.32113 | + | 0.724638i | ||||
\(190\) | −8001.99 | + | 5142.56i | −3.05540 | + | 1.96358i | ||||
\(191\) | 1560.40 | + | 3416.79i | 0.591133 | + | 1.29440i | 0.934755 | + | 0.355292i | \(0.115619\pi\) |
−0.343622 | + | 0.939108i | \(0.611654\pi\) | |||||||
\(192\) | −3150.48 | − | 2355.32i | −1.18420 | − | 0.885316i | ||||
\(193\) | −387.663 | − | 2696.25i | −0.144583 | − | 1.00560i | −0.924899 | − | 0.380213i | \(-0.875851\pi\) |
0.780316 | − | 0.625386i | \(-0.215058\pi\) | |||||||
\(194\) | −907.337 | + | 1986.79i | −0.335789 | + | 0.735274i | ||||
\(195\) | −142.734 | + | 78.0554i | −0.0524174 | + | 0.0286649i | ||||
\(196\) | −4335.43 | + | 1273.00i | −1.57997 | + | 0.463920i | ||||
\(197\) | −2814.01 | − | 1285.11i | −1.01771 | − | 0.464774i | −0.164523 | − | 0.986373i | \(-0.552608\pi\) |
−0.853191 | + | 0.521599i | \(0.825336\pi\) | |||||||
\(198\) | 2439.90 | − | 1572.38i | 0.875739 | − | 0.564364i | ||||
\(199\) | −336.496 | + | 291.576i | −0.119867 | + | 0.103866i | −0.712732 | − | 0.701437i | \(-0.752542\pi\) |
0.592865 | + | 0.805302i | \(0.297997\pi\) | |||||||
\(200\) | −1985.16 | + | 906.592i | −0.701860 | + | 0.320529i | ||||
\(201\) | −3497.70 | − | 3493.29i | −1.22741 | − | 1.22586i | ||||
\(202\) | −683.574 | + | 4754.36i | −0.238100 | + | 1.65602i | ||||
\(203\) | 1375.88 | + | 884.226i | 0.475704 | + | 0.305717i | ||||
\(204\) | −1619.63 | + | 2970.58i | −0.555866 | + | 1.01952i | ||||
\(205\) | −995.295 | + | 3389.66i | −0.339095 | + | 1.15485i | ||||
\(206\) | 4708.80 | 1.59261 | ||||||||
\(207\) | −965.316 | + | 2817.43i | −0.324126 | + | 0.946014i | ||||
\(208\) | 66.9686 | 0.0223242 | ||||||||
\(209\) | −850.633 | + | 2896.99i | −0.281529 | + | 0.958799i | ||||
\(210\) | 5485.41 | − | 10060.8i | 1.80252 | − | 3.30602i | ||||
\(211\) | −2461.46 | − | 1581.88i | −0.803099 | − | 0.516120i | 0.0735268 | − | 0.997293i | \(-0.476575\pi\) |
−0.876626 | + | 0.481173i | \(0.840211\pi\) | |||||||
\(212\) | 236.976 | − | 1648.20i | 0.0767716 | − | 0.533958i | ||||
\(213\) | −684.093 | − | 683.232i | −0.220062 | − | 0.219785i | ||||
\(214\) | −2406.45 | + | 1098.99i | −0.768699 | + | 0.351053i | ||||
\(215\) | 4937.30 | − | 4278.20i | 1.56614 | − | 1.35707i | ||||
\(216\) | 1005.21 | − | 1009.02i | 0.316648 | − | 0.317847i | ||||
\(217\) | 1538.28 | + | 702.507i | 0.481221 | + | 0.219766i | ||||
\(218\) | 1738.66 | − | 510.517i | 0.540170 | − | 0.158608i | ||||
\(219\) | −4083.40 | + | 2233.05i | −1.25996 | + | 0.689019i | ||||
\(220\) | −1992.15 | + | 4362.20i | −0.610504 | + | 1.33682i | ||||
\(221\) | −15.1753 | − | 105.547i | −0.00461902 | − | 0.0321260i | ||||
\(222\) | 3860.79 | + | 2886.35i | 1.16720 | + | 0.872610i | ||||
\(223\) | 274.385 | + | 600.819i | 0.0823954 | + | 0.180421i | 0.946345 | − | 0.323157i | \(-0.104744\pi\) |
−0.863950 | + | 0.503578i | \(0.832017\pi\) | |||||||
\(224\) | −5874.98 | + | 3775.62i | −1.75240 | + | 1.12620i | ||||
\(225\) | 1642.26 | + | 5567.06i | 0.486595 | + | 1.64950i | ||||
\(226\) | 4489.44 | − | 6985.71i | 1.32139 | − | 2.05612i | ||||
\(227\) | −4234.57 | + | 4886.95i | −1.23814 | + | 1.42889i | −0.372645 | + | 0.927974i | \(0.621549\pi\) |
−0.865495 | + | 0.500917i | \(0.832996\pi\) | |||||||
\(228\) | −458.566 | + | 6468.86i | −0.133199 | + | 1.87900i | ||||
\(229\) | − | 5012.24i | − | 1.44637i | −0.690656 | − | 0.723183i | \(-0.742678\pi\) | ||
0.690656 | − | 0.723183i | \(-0.257322\pi\) | |||||||
\(230\) | −2070.72 | − | 8467.17i | −0.593649 | − | 2.42743i | ||||
\(231\) | −775.411 | − | 3553.73i | −0.220858 | − | 1.01220i | ||||
\(232\) | −570.871 | − | 167.623i | −0.161550 | − | 0.0474352i | ||||
\(233\) | 1514.20 | + | 1312.06i | 0.425745 | + | 0.368910i | 0.841219 | − | 0.540695i | \(-0.181839\pi\) |
−0.415474 | + | 0.909605i | \(0.636384\pi\) | |||||||
\(234\) | −27.7184 | + | 194.525i | −0.00774362 | + | 0.0543441i | ||||
\(235\) | 4207.40 | + | 604.932i | 1.16792 | + | 0.167921i | ||||
\(236\) | 831.793 | + | 1294.30i | 0.229429 | + | 0.356998i | ||||
\(237\) | 4609.22 | − | 3454.95i | 1.26330 | − | 0.946934i | ||||
\(238\) | 4918.64 | + | 5676.41i | 1.33961 | + | 1.54600i | ||||
\(239\) | 6011.51 | − | 864.325i | 1.62700 | − | 0.233927i | 0.732425 | − | 0.680848i | \(-0.238389\pi\) |
0.894573 | + | 0.446921i | \(0.147479\pi\) | |||||||
\(240\) | 800.884 | − | 3692.80i | 0.215403 | − | 0.993206i | ||||
\(241\) | 642.398 | + | 2187.81i | 0.171703 | + | 0.584768i | 0.999711 | + | 0.0240505i | \(0.00765626\pi\) |
−0.828007 | + | 0.560717i | \(0.810526\pi\) | |||||||
\(242\) | −847.401 | − | 2885.98i | −0.225095 | − | 0.766603i | ||||
\(243\) | −2279.60 | − | 3025.28i | −0.601796 | − | 0.798649i | ||||
\(244\) | −469.820 | + | 67.5499i | −0.123267 | + | 0.0177231i | ||||
\(245\) | −5261.82 | − | 6072.47i | −1.37210 | − | 1.58349i | ||||
\(246\) | 2559.22 | + | 3414.23i | 0.663293 | + | 0.884893i | ||||
\(247\) | −110.499 | − | 171.939i | −0.0284650 | − | 0.0442925i | ||||
\(248\) | −608.930 | − | 87.5509i | −0.155916 | − | 0.0224173i | ||||
\(249\) | 4359.79 | + | 1622.99i | 1.10960 | + | 0.413063i | ||||
\(250\) | −5373.34 | − | 4656.02i | −1.35936 | − | 1.17789i | ||||
\(251\) | −3667.76 | − | 1076.95i | −0.922339 | − | 0.270823i | −0.214113 | − | 0.976809i | \(-0.568686\pi\) |
−0.708226 | + | 0.705986i | \(0.750504\pi\) | |||||||
\(252\) | −3254.42 | − | 7102.49i | −0.813528 | − | 1.77545i | ||||
\(253\) | −2256.78 | − | 1600.76i | −0.560801 | − | 0.397782i | ||||
\(254\) | 215.784i | 0.0533051i | ||||||||
\(255\) | −6001.57 | − | 425.440i | −1.47385 | − | 0.104479i | ||||
\(256\) | −478.700 | + | 552.450i | −0.116870 | + | 0.134875i | ||||
\(257\) | 172.486 | − | 268.394i | 0.0418654 | − | 0.0651438i | −0.819690 | − | 0.572807i | \(-0.805854\pi\) |
0.861555 | + | 0.507664i | \(0.169491\pi\) | |||||||
\(258\) | −567.869 | − | 7870.16i | −0.137031 | − | 1.89913i | ||||
\(259\) | 5081.60 | − | 3265.74i | 1.21913 | − | 0.783488i | ||||
\(260\) | −134.855 | − | 295.290i | −0.0321666 | − | 0.0704351i | ||||
\(261\) | −655.530 | + | 1440.21i | −0.155465 | + | 0.341559i | ||||
\(262\) | 696.621 | + | 4845.11i | 0.164265 | + | 1.14249i | ||||
\(263\) | −1675.37 | + | 3668.55i | −0.392805 | + | 0.860124i | 0.605144 | + | 0.796116i | \(0.293115\pi\) |
−0.997949 | + | 0.0640077i | \(0.979612\pi\) | |||||||
\(264\) | 634.874 | + | 1160.94i | 0.148007 | + | 0.270648i | ||||
\(265\) | 2841.14 | − | 834.234i | 0.658604 | − | 0.193383i | ||||
\(266\) | 13095.5 | + | 5980.52i | 3.01856 | + | 1.37853i | ||||
\(267\) | 1183.61 | + | 3167.29i | 0.271295 | + | 0.725973i | ||||
\(268\) | 7454.94 | − | 6459.74i | 1.69919 | − | 1.47236i | ||||
\(269\) | 191.447 | − | 87.4310i | 0.0433931 | − | 0.0198170i | −0.393600 | − | 0.919282i | \(-0.628771\pi\) |
0.436993 | + | 0.899465i | \(0.356043\pi\) | |||||||
\(270\) | 10395.1 | + | 3854.80i | 2.34305 | + | 0.868872i | ||||
\(271\) | −198.964 | + | 1383.82i | −0.0445984 | + | 0.310189i | 0.955296 | + | 0.295651i | \(0.0955367\pi\) |
−0.999894 | + | 0.0145375i | \(0.995372\pi\) | |||||||
\(272\) | 2083.58 | + | 1339.04i | 0.464469 | + | 0.298496i | ||||
\(273\) | 216.178 | + | 117.865i | 0.0479256 | + | 0.0261302i | ||||
\(274\) | 958.031 | − | 3262.75i | 0.211229 | − | 0.719380i | ||||
\(275\) | −5392.32 | −1.18243 | ||||||||
\(276\) | −5468.85 | − | 2325.86i | −1.19270 | − | 0.507247i | ||||
\(277\) | −898.964 | −0.194995 | −0.0974973 | − | 0.995236i | \(-0.531084\pi\) | ||||
−0.0974973 | + | 0.995236i | \(0.531084\pi\) | |||||||
\(278\) | −458.609 | + | 1561.88i | −0.0989407 | + | 0.336961i | ||||
\(279\) | −458.980 | + | 1570.46i | −0.0984890 | + | 0.336993i | ||||
\(280\) | 4394.44 | + | 2824.14i | 0.937923 | + | 0.602766i | ||||
\(281\) | −650.568 | + | 4524.80i | −0.138113 | + | 0.960594i | 0.796427 | + | 0.604735i | \(0.206721\pi\) |
−0.934540 | + | 0.355859i | \(0.884188\pi\) | |||||||
\(282\) | 3628.00 | − | 3632.58i | 0.766115 | − | 0.767080i | ||||
\(283\) | −5695.76 | + | 2601.16i | −1.19639 | + | 0.546372i | −0.911146 | − | 0.412084i | \(-0.864801\pi\) |
−0.285241 | + | 0.958456i | \(0.592074\pi\) | |||||||
\(284\) | 1458.07 | − | 1263.42i | 0.304649 | − | 0.263980i | ||||
\(285\) | −10802.6 | + | 4036.91i | −2.24523 | + | 0.839039i | ||||
\(286\) | −166.049 | − | 75.8323i | −0.0343312 | − | 0.0156785i | ||||
\(287\) | 5130.30 | − | 1506.39i | 1.05516 | − | 0.309824i | ||||
\(288\) | −4431.14 | − | 5100.81i | −0.906623 | − | 1.04364i | ||||
\(289\) | −402.677 | + | 881.740i | −0.0819616 | + | 0.179471i | ||||
\(290\) | −659.110 | − | 4584.21i | −0.133463 | − | 0.928256i | ||||
\(291\) | −1585.59 | + | 2120.89i | −0.319412 | + | 0.427246i | ||||
\(292\) | −3857.98 | − | 8447.80i | −0.773190 | − | 1.69305i | ||||
\(293\) | 2401.30 | − | 1543.22i | 0.478790 | − | 0.307700i | −0.278893 | − | 0.960322i | \(-0.589968\pi\) |
0.757683 | + | 0.652622i | \(0.226331\pi\) | |||||||
\(294\) | −9679.65 | + | 698.432i | −1.92016 | + | 0.138549i | ||||
\(295\) | −1479.15 | + | 2301.60i | −0.291931 | + | 0.454253i | ||||
\(296\) | −1439.01 | + | 1660.71i | −0.282570 | + | 0.326103i | ||||
\(297\) | 3294.96 | − | 1236.05i | 0.643747 | − | 0.241492i | ||||
\(298\) | 1039.81i | 0.202130i | ||||||||
\(299\) | 181.935 | − | 44.4938i | 0.0351892 | − | 0.00860582i | ||||
\(300\) | −11315.9 | + | 2469.08i | −2.17774 | + | 0.475175i | ||||
\(301\) | −9487.22 | − | 2785.70i | −1.81673 | − | 0.533439i | ||||
\(302\) | −666.438 | − | 577.472i | −0.126984 | − | 0.110032i | ||||
\(303\) | −2031.64 | + | 5457.53i | −0.385197 | + | 1.03474i | ||||
\(304\) | 4698.95 | + | 675.607i | 0.886524 | + | 0.127463i | ||||
\(305\) | −456.331 | − | 710.065i | −0.0856704 | − | 0.133306i | ||||
\(306\) | −4751.92 | + | 5497.99i | −0.887743 | + | 1.02712i | ||||
\(307\) | −1481.68 | − | 1709.95i | −0.275453 | − | 0.317889i | 0.601120 | − | 0.799159i | \(-0.294721\pi\) |
−0.876573 | + | 0.481269i | \(0.840176\pi\) | |||||||
\(308\) | 7184.27 | − | 1032.94i | 1.32910 | − | 0.191095i | ||||
\(309\) | 5579.20 | + | 1210.00i | 1.02715 | + | 0.222765i | ||||
\(310\) | −1349.15 | − | 4594.77i | −0.247182 | − | 0.841824i | ||||
\(311\) | −543.345 | − | 1850.46i | −0.0990683 | − | 0.337396i | 0.895012 | − | 0.446042i | \(-0.147167\pi\) |
−0.994081 | + | 0.108646i | \(0.965349\pi\) | |||||||
\(312\) | −87.5362 | − | 18.9846i | −0.0158839 | − | 0.00344484i | ||||
\(313\) | −5133.25 | + | 738.049i | −0.926991 | + | 0.133281i | −0.589243 | − | 0.807956i | \(-0.700574\pi\) |
−0.337748 | + | 0.941237i | \(0.609665\pi\) | |||||||
\(314\) | 128.256 | + | 148.015i | 0.0230506 | + | 0.0266019i | ||||
\(315\) | 9084.66 | − | 10511.0i | 1.62496 | − | 1.88009i | ||||
\(316\) | 6214.41 | + | 9669.81i | 1.10629 | + | 1.72142i | ||||
\(317\) | −7530.73 | − | 1082.76i | −1.33428 | − | 0.191841i | −0.562010 | − | 0.827130i | \(-0.689972\pi\) |
−0.772274 | + | 0.635289i | \(0.780881\pi\) | |||||||
\(318\) | 1247.73 | − | 3351.73i | 0.220028 | − | 0.591056i | ||||
\(319\) | −1111.01 | − | 962.700i | −0.195000 | − | 0.168968i | ||||
\(320\) | 13392.7 | + | 3932.46i | 2.33961 | + | 0.686972i | ||||
\(321\) | −3133.68 | + | 683.758i | −0.544875 | + | 0.118890i | ||||
\(322\) | −9086.40 | + | 9564.94i | −1.57256 | + | 1.65538i | ||||
\(323\) | − | 7558.93i | − | 1.30214i | ||||||
\(324\) | 6348.53 | − | 4102.60i | 1.08857 | − | 0.703463i | ||||
\(325\) | 239.039 | − | 275.865i | 0.0407984 | − | 0.0470838i | ||||
\(326\) | −3217.87 | + | 5007.11i | −0.546692 | + | 0.850669i | ||||
\(327\) | 2191.23 | − | 158.108i | 0.370567 | − | 0.0267381i | ||||
\(328\) | −1636.32 | + | 1051.60i | −0.275460 | + | 0.177027i | ||||
\(329\) | −2672.54 | − | 5852.05i | −0.447848 | − | 0.980650i | ||||
\(330\) | −6167.36 | + | 8249.46i | −1.02879 | + | 1.37611i | ||||
\(331\) | −1184.46 | − | 8238.09i | −0.196688 | − | 1.36800i | −0.813812 | − | 0.581129i | \(-0.802611\pi\) |
0.617123 | − | 0.786866i | \(-0.288298\pi\) | |||||||
\(332\) | −3856.31 | + | 8444.13i | −0.637477 | + | 1.39588i | ||||
\(333\) | 3832.74 | + | 4411.98i | 0.630730 | + | 0.726050i | ||||
\(334\) | 13909.9 | − | 4084.32i | 2.27879 | − | 0.669115i | ||||
\(335\) | 15956.2 | + | 7286.94i | 2.60233 | + | 1.18844i | ||||
\(336\) | −5357.18 | + | 2001.97i | −0.869817 | + | 0.325049i | ||||
\(337\) | −4692.86 | + | 4066.39i | −0.758566 | + | 0.657301i | −0.945703 | − | 0.325033i | \(-0.894625\pi\) |
0.187137 | + | 0.982334i | \(0.440079\pi\) | |||||||
\(338\) | −8553.91 | + | 3906.44i | −1.37654 | + | 0.628646i | ||||
\(339\) | 7114.39 | − | 7123.36i | 1.13982 | − | 1.14126i | ||||
\(340\) | 1708.62 | − | 11883.7i | 0.272538 | − | 1.89554i | ||||
\(341\) | −1278.74 | − | 821.798i | −0.203073 | − | 0.130507i | ||||
\(342\) | −3907.35 | + | 13369.5i | −0.617793 | + | 2.11386i | ||||
\(343\) | −729.445 | + | 2484.26i | −0.114829 | + | 0.391072i | ||||
\(344\) | 3596.99 | 0.563769 | ||||||||
\(345\) | −277.712 | − | 10564.4i | −0.0433377 | − | 1.64860i | ||||
\(346\) | 8632.67 | 1.34132 | ||||||||
\(347\) | −1762.94 | + | 6004.03i | −0.272737 | + | 0.928856i | 0.703235 | + | 0.710958i | \(0.251738\pi\) |
−0.975971 | + | 0.217898i | \(0.930080\pi\) | |||||||
\(348\) | −2772.29 | − | 1511.52i | −0.427041 | − | 0.232833i | ||||
\(349\) | 10136.1 | + | 6514.06i | 1.55465 | + | 0.999111i | 0.984052 | + | 0.177880i | \(0.0569240\pi\) |
0.570596 | + | 0.821231i | \(0.306712\pi\) | |||||||
\(350\) | −3659.13 | + | 25449.8i | −0.558825 | + | 3.88671i | ||||
\(351\) | −82.8284 | + | 223.360i | −0.0125956 | + | 0.0339660i | ||||
\(352\) | 5709.95 | − | 2607.65i | 0.864607 | − | 0.394853i | ||||
\(353\) | 2761.73 | − | 2393.05i | 0.416408 | − | 0.360820i | −0.421315 | − | 0.906914i | \(-0.638431\pi\) |
0.837724 | + | 0.546094i | \(0.183886\pi\) | |||||||
\(354\) | 1156.75 | + | 3095.41i | 0.173674 | + | 0.464743i | ||||
\(355\) | 3120.77 | + | 1425.21i | 0.466573 | + | 0.213077i | ||||
\(356\) | −6473.77 | + | 1900.87i | −0.963790 | + | 0.282994i | ||||
\(357\) | 4369.19 | + | 7989.60i | 0.647737 | + | 1.18447i | ||||
\(358\) | 2031.06 | − | 4447.39i | 0.299845 | − | 0.656570i | ||||
\(359\) | 1108.85 | + | 7712.22i | 0.163016 | + | 1.13380i | 0.892907 | + | 0.450240i | \(0.148662\pi\) |
−0.729891 | + | 0.683564i | \(0.760429\pi\) | |||||||
\(360\) | −2093.71 | + | 4599.91i | −0.306522 | + | 0.673434i | ||||
\(361\) | −3169.37 | − | 6939.96i | −0.462075 | − | 1.01180i | ||||
\(362\) | 1970.37 | − | 1266.28i | 0.286078 | − | 0.183851i | ||||
\(363\) | −262.441 | − | 3637.20i | −0.0379465 | − | 0.525905i | ||||
\(364\) | −265.631 | + | 413.329i | −0.0382495 | + | 0.0595174i | ||||
\(365\) | 10814.9 | − | 12481.1i | 1.55090 | − | 1.78984i | ||||
\(366\) | −1016.91 | − | 72.0870i | −0.145232 | − | 0.0102952i | ||||
\(367\) | 6884.85i | 0.979254i | 0.871932 | + | 0.489627i | \(0.162867\pi\) | ||||
−0.871932 | + | 0.489627i | \(0.837133\pi\) | |||||||
\(368\) | −1986.29 | + | 3870.44i | −0.281365 | + | 0.548263i | ||||
\(369\) | 2154.94 | + | 4702.98i | 0.304016 | + | 0.663488i | ||||
\(370\) | −16412.3 | − | 4819.08i | −2.30604 | − | 0.677113i | ||||
\(371\) | −3387.00 | − | 2934.85i | −0.473973 | − | 0.410700i | ||||
\(372\) | −3059.75 | − | 1139.03i | −0.426453 | − | 0.158753i | ||||
\(373\) | −194.728 | − | 27.9977i | −0.0270312 | − | 0.00388650i | 0.128786 | − | 0.991672i | \(-0.458892\pi\) |
−0.155817 | + | 0.987786i | \(0.549801\pi\) | |||||||
\(374\) | −3650.00 | − | 5679.51i | −0.504644 | − | 0.785242i | ||||
\(375\) | −5170.14 | − | 6897.43i | −0.711959 | − | 0.949818i | ||||
\(376\) | 1532.61 | + | 1768.73i | 0.210209 | + | 0.242594i | ||||
\(377\) | 98.5013 | − | 14.1623i | 0.0134564 | − | 0.00193474i | ||||
\(378\) | −3597.83 | − | 16389.8i | −0.489556 | − | 2.23015i | ||||
\(379\) | 183.459 | + | 624.803i | 0.0248645 | + | 0.0846807i | 0.970991 | − | 0.239118i | \(-0.0768582\pi\) |
−0.946126 | + | 0.323798i | \(0.895040\pi\) | |||||||
\(380\) | −6483.25 | − | 22079.9i | −0.875221 | − | 2.98073i | ||||
\(381\) | −55.4491 | + | 255.671i | −0.00745602 | + | 0.0343790i | ||||
\(382\) | −15934.9 | + | 2291.09i | −2.13429 | + | 0.306865i | ||||
\(383\) | −6369.67 | − | 7351.00i | −0.849805 | − | 0.980727i | 0.150164 | − | 0.988661i | \(-0.452020\pi\) |
−0.999969 | + | 0.00793440i | \(0.997474\pi\) | |||||||
\(384\) | 5165.98 | − | 3872.29i | 0.686524 | − | 0.514601i | ||||
\(385\) | 6978.02 | + | 10858.0i | 0.923721 | + | 1.43734i | ||||
\(386\) | 11555.8 | + | 1661.47i | 1.52377 | + | 0.219085i | ||||
\(387\) | 1349.53 | − | 9470.86i | 0.177262 | − | 1.24401i | ||||
\(388\) | −3993.46 | − | 3460.35i | −0.522518 | − | 0.452765i | ||||
\(389\) | −5159.78 | − | 1515.05i | −0.672523 | − | 0.197471i | −0.0723967 | − | 0.997376i | \(-0.523065\pi\) |
−0.600126 | + | 0.799905i | \(0.704883\pi\) | |||||||
\(390\) | −148.638 | − | 681.209i | −0.0192989 | − | 0.0884471i | ||||
\(391\) | 6550.15 | + | 2253.46i | 0.847200 | + | 0.291464i | ||||
\(392\) | − | 4424.00i | − | 0.570014i | ||||||
\(393\) | −419.638 | + | 5919.71i | −0.0538624 | + | 0.759822i | ||||
\(394\) | 8682.55 | − | 10020.2i | 1.11020 | − | 1.28124i | ||||
\(395\) | −11050.9 | + | 17195.5i | −1.40767 | + | 2.19038i | ||||
\(396\) | 1986.91 | + | 6735.40i | 0.252137 | + | 0.854714i | ||||
\(397\) | −445.814 | + | 286.507i | −0.0563595 | + | 0.0362201i | −0.568517 | − | 0.822671i | \(-0.692483\pi\) |
0.512158 | + | 0.858891i | \(0.328846\pi\) | |||||||
\(398\) | −792.728 | − | 1735.83i | −0.0998388 | − | 0.218616i | ||||
\(399\) | 13979.4 | + | 10451.1i | 1.75400 | + | 1.31130i | ||||
\(400\) | 1206.60 | + | 8392.12i | 0.150826 | + | 1.04901i | ||||
\(401\) | 6010.05 | − | 13160.2i | 0.748447 | − | 1.63887i | −0.0206886 | − | 0.999786i | \(-0.506586\pi\) |
0.769136 | − | 0.639085i | \(-0.220687\pi\) | |||||||
\(402\) | 18588.7 | − | 10165.4i | 2.30627 | − | 1.26121i | ||||
\(403\) | 98.7282 | − | 28.9892i | 0.0122035 | − | 0.00358326i | ||||
\(404\) | −10570.3 | − | 4827.28i | −1.30171 | − | 0.594471i | ||||
\(405\) | 11326.0 | + | 7238.52i | 1.38962 | + | 0.888111i | ||||
\(406\) | −5297.50 | + | 4590.31i | −0.647563 | + | 0.561117i | ||||
\(407\) | −4938.86 | + | 2255.50i | −0.601499 | + | 0.274695i | ||||
\(408\) | −2343.90 | − | 2340.95i | −0.284413 | − | 0.284054i | ||||
\(409\) | −1141.48 | + | 7939.19i | −0.138002 | + | 0.959823i | 0.796696 | + | 0.604380i | \(0.206579\pi\) |
−0.934698 | + | 0.355443i | \(0.884330\pi\) | |||||||
\(410\) | −12737.4 | − | 8185.83i | −1.53428 | − | 0.986023i | ||||
\(411\) | 1973.53 | − | 3619.68i | 0.236855 | − | 0.434417i | ||||
\(412\) | −3209.46 | + | 10930.4i | −0.383783 | + | 1.30705i | ||||
\(413\) | 4140.85 | 0.493360 | ||||||||
\(414\) | −10420.4 | − | 7371.59i | −1.23704 | − | 0.875106i | ||||
\(415\) | −16507.7 | −1.95260 | ||||||||
\(416\) | −119.715 | + | 407.711i | −0.0141094 | + | 0.0480521i | ||||
\(417\) | −944.730 | + | 1732.74i | −0.110944 | + | 0.203483i | ||||
\(418\) | −10886.1 | − | 6996.05i | −1.27382 | − | 0.818632i | ||||
\(419\) | 995.739 | − | 6925.52i | 0.116098 | − | 0.807479i | −0.845688 | − | 0.533677i | \(-0.820810\pi\) |
0.961786 | − | 0.273802i | \(-0.0882812\pi\) | |||||||
\(420\) | 19615.2 | + | 19590.5i | 2.27887 | + | 2.27600i | ||||
\(421\) | 4554.96 | − | 2080.18i | 0.527304 | − | 0.240812i | −0.133931 | − | 0.990991i | \(-0.542760\pi\) |
0.661235 | + | 0.750179i | \(0.270033\pi\) | |||||||
\(422\) | 9477.26 | − | 8212.09i | 1.09324 | − | 0.947295i | ||||
\(423\) | 5232.07 | − | 3371.77i | 0.601399 | − | 0.387568i | ||||
\(424\) | 1483.01 | + | 677.268i | 0.169862 | + | 0.0775732i | ||||
\(425\) | 12953.1 | − | 3803.37i | 1.47839 | − | 0.434095i | ||||
\(426\) | 3635.65 | − | 1988.19i | 0.413493 | − | 0.226122i | ||||
\(427\) | −530.688 | + | 1162.04i | −0.0601447 | + | 0.131699i | ||||
\(428\) | −910.849 | − | 6335.09i | −0.102868 | − | 0.715463i | ||||
\(429\) | −177.257 | − | 132.519i | −0.0199488 | − | 0.0149139i | ||||
\(430\) | 11631.4 | + | 25469.3i | 1.30446 | + | 2.85637i | ||||
\(431\) | −14537.4 | + | 9342.64i | −1.62469 | + | 1.04413i | −0.671842 | + | 0.740694i | \(0.734497\pi\) |
−0.952853 | + | 0.303434i | \(0.901867\pi\) | |||||||
\(432\) | −2660.97 | − | 4851.38i | −0.296357 | − | 0.540306i | ||||
\(433\) | −2323.21 | + | 3614.99i | −0.257844 | + | 0.401214i | −0.945907 | − | 0.324438i | \(-0.894825\pi\) |
0.688063 | + | 0.725651i | \(0.258461\pi\) | |||||||
\(434\) | −4746.32 | + | 5477.54i | −0.524955 | + | 0.605830i | ||||
\(435\) | 397.041 | − | 5600.95i | 0.0437625 | − | 0.617345i | ||||
\(436\) | 4383.88i | 0.481536i | ||||||||
\(437\) | 13214.6 | − | 1286.53i | 1.44654 | − | 0.140831i | ||||
\(438\) | −4252.29 | − | 19488.4i | −0.463887 | − | 2.12600i | ||||
\(439\) | 14126.4 | + | 4147.90i | 1.53581 | + | 0.450953i | 0.936821 | − | 0.349808i | \(-0.113753\pi\) |
0.598984 | + | 0.800761i | \(0.295571\pi\) | |||||||
\(440\) | −3548.48 | − | 3074.78i | −0.384471 | − | 0.333146i | ||||
\(441\) | −11648.4 | − | 1659.80i | −1.25779 | − | 0.179225i | ||||
\(442\) | 452.360 | + | 65.0395i | 0.0486800 | + | 0.00699913i | ||||
\(443\) | −8380.04 | − | 13039.6i | −0.898753 | − | 1.39849i | −0.917101 | − | 0.398656i | \(-0.869477\pi\) |
0.0183472 | − | 0.999832i | \(-0.494160\pi\) | |||||||
\(444\) | −9331.49 | + | 6994.64i | −0.997417 | + | 0.747638i | ||||
\(445\) | −7857.09 | − | 9067.56i | −0.836992 | − | 0.965941i | ||||
\(446\) | −2802.04 | + | 402.872i | −0.297490 | + | 0.0427726i | ||||
\(447\) | −267.196 | + | 1232.02i | −0.0282728 | + | 0.130363i | ||||
\(448\) | −5951.82 | − | 20270.0i | −0.627672 | − | 2.13766i | ||||
\(449\) | −3215.32 | − | 10950.4i | −0.337952 | − | 1.15096i | −0.936733 | − | 0.350045i | \(-0.886166\pi\) |
0.598781 | − | 0.800913i | \(-0.295652\pi\) | |||||||
\(450\) | −24876.2 | + | 31.3450i | −2.60594 | + | 0.00328359i | ||||
\(451\) | −4757.13 | + | 683.972i | −0.496684 | + | 0.0714124i | ||||
\(452\) | 13155.8 | + | 15182.6i | 1.36902 | + | 1.57993i | ||||
\(453\) | −641.236 | − | 855.467i | −0.0665075 | − | 0.0887271i | ||||
\(454\) | −14983.3 | − | 23314.5i | −1.54890 | − | 2.41014i | ||||
\(455\) | −864.815 | − | 124.342i | −0.0891058 | − | 0.0128115i | ||||
\(456\) | −5950.58 | − | 2215.18i | −0.611100 | − | 0.227490i | ||||
\(457\) | 6222.34 | + | 5391.69i | 0.636913 | + | 0.551888i | 0.912340 | − | 0.409434i | \(-0.134274\pi\) |
−0.275427 | + | 0.961322i | \(0.588819\pi\) | |||||||
\(458\) | 20611.6 | + | 6052.12i | 2.10288 | + | 0.617461i | ||||
\(459\) | −7043.10 | + | 5293.20i | −0.716217 | + | 0.538268i | ||||
\(460\) | 21066.0 | + | 964.410i | 2.13524 | + | 0.0977518i | ||||
\(461\) | − | 2931.99i | − | 0.296218i | −0.988971 | − | 0.148109i | \(-0.952681\pi\) | ||
0.988971 | − | 0.148109i | \(-0.0473187\pi\) | |||||||
\(462\) | 15550.1 | + | 1102.32i | 1.56593 | + | 0.111006i | ||||
\(463\) | −4676.96 | + | 5397.50i | −0.469453 | + | 0.541778i | −0.940260 | − | 0.340459i | \(-0.889418\pi\) |
0.470806 | + | 0.882237i | \(0.343963\pi\) | |||||||
\(464\) | −1249.65 | + | 1944.50i | −0.125030 | + | 0.194550i | ||||
\(465\) | −417.832 | − | 5790.78i | −0.0416699 | − | 0.577508i | ||||
\(466\) | −7223.89 | + | 4642.51i | −0.718112 | + | 0.461503i | ||||
\(467\) | 3284.16 | + | 7191.32i | 0.325424 | + | 0.712579i | 0.999664 | − | 0.0259334i | \(-0.00825580\pi\) |
−0.674240 | + | 0.738513i | \(0.735529\pi\) | |||||||
\(468\) | −432.654 | − | 196.928i | −0.0427339 | − | 0.0194509i | ||||
\(469\) | −3778.32 | − | 26278.8i | −0.371997 | − | 2.58730i | ||||
\(470\) | −7567.94 | + | 16571.5i | −0.742730 | + | 1.62635i | ||||
\(471\) | 113.929 | + | 208.333i | 0.0111456 | + | 0.0203810i | ||||
\(472\) | −1445.35 | + | 424.393i | −0.140948 | + | 0.0413862i | ||||
\(473\) | 8084.46 | + | 3692.05i | 0.785885 | + | 0.358902i | ||||
\(474\) | 8642.18 | + | 23126.1i | 0.837444 | + | 2.24096i | ||||
\(475\) | 19555.5 | − | 16945.0i | 1.88899 | − | 1.63682i | ||||
\(476\) | −16529.0 | + | 7548.55i | −1.59161 | + | 0.726864i | ||||
\(477\) | 2339.64 | − | 3650.66i | 0.224581 | − | 0.350424i | ||||
\(478\) | −3704.39 | + | 25764.6i | −0.354466 | + | 2.46537i | ||||
\(479\) | 2913.03 | + | 1872.09i | 0.277870 | + | 0.178576i | 0.672152 | − | 0.740413i | \(-0.265370\pi\) |
−0.394282 | + | 0.918990i | \(0.629007\pi\) | |||||||
\(480\) | 21050.4 | + | 11477.2i | 2.00170 | + | 1.09137i | ||||
\(481\) | 103.548 | − | 352.652i | 0.00981575 | − | 0.0334294i | ||||
\(482\) | −9772.51 | −0.923497 | ||||||||
\(483\) | −13223.9 | + | 8998.09i | −1.24577 | + | 0.847675i | ||||
\(484\) | 7276.74 | 0.683390 | ||||||||
\(485\) | 2647.31 | − | 9015.92i | 0.247852 | − | 0.844107i | ||||
\(486\) | 15193.3 | − | 5721.39i | 1.41807 | − | 0.534007i | ||||
\(487\) | 4675.72 | + | 3004.90i | 0.435066 | + | 0.279600i | 0.739786 | − | 0.672842i | \(-0.234927\pi\) |
−0.304721 | + | 0.952442i | \(0.598563\pi\) | |||||||
\(488\) | 66.1377 | − | 459.998i | 0.00613507 | − | 0.0426703i | ||||
\(489\) | −5099.34 | + | 5105.77i | −0.471575 | + | 0.472170i | ||||
\(490\) | 31325.1 | − | 14305.7i | 2.88801 | − | 1.31891i | ||||
\(491\) | −15756.0 | + | 13652.7i | −1.44819 | + | 1.25486i | −0.536548 | + | 0.843870i | \(0.680272\pi\) |
−0.911639 | + | 0.410992i | \(0.865183\pi\) | |||||||
\(492\) | −9669.72 | + | 3613.56i | −0.886066 | + | 0.331122i | ||||
\(493\) | 3347.83 | + | 1528.90i | 0.305839 | + | 0.139672i | ||||
\(494\) | 840.484 | − | 246.788i | 0.0765489 | − | 0.0224768i | ||||
\(495\) | −9427.20 | + | 8189.54i | −0.856003 | + | 0.743621i | ||||
\(496\) | −992.835 | + | 2174.01i | −0.0898783 | + | 0.196806i | ||||
\(497\) | −738.979 | − | 5139.71i | −0.0666957 | − | 0.463879i | ||||
\(498\) | −11938.5 | + | 15968.9i | −1.07425 | + | 1.43691i | ||||
\(499\) | 5144.39 | + | 11264.6i | 0.461512 | + | 1.01057i | 0.987140 | + | 0.159856i | \(0.0511030\pi\) |
−0.525628 | + | 0.850714i | \(0.676170\pi\) | |||||||
\(500\) | 14470.3 | − | 9299.51i | 1.29426 | − | 0.831773i | ||||
\(501\) | 17530.7 | − | 1264.92i | 1.56330 | − | 0.112799i | ||||
\(502\) | 8857.42 | − | 13782.4i | 0.787502 | − | 1.22538i | ||||
\(503\) | 3553.97 | − | 4101.50i | 0.315037 | − | 0.363573i | −0.576042 | − | 0.817420i | \(-0.695403\pi\) |
0.891079 | + | 0.453848i | \(0.149949\pi\) | |||||||
\(504\) | 7570.03 | − | 1098.14i | 0.669039 | − | 0.0970539i | ||||
\(505\) | − | 20664.2i | − | 1.82088i | ||||||
\(506\) | 9307.73 | − | 7347.61i | 0.817746 | − | 0.645536i | ||||
\(507\) | −11138.9 | + | 2430.47i | −0.975731 | + | 0.212901i | ||||
\(508\) | −500.894 | − | 147.076i | −0.0437472 | − | 0.0128453i | ||||
\(509\) | 12488.8 | + | 10821.6i | 1.08753 | + | 0.942354i | 0.998558 | − | 0.0536800i | \(-0.0170951\pi\) |
0.0889761 | + | 0.996034i | \(0.471641\pi\) | |||||||
\(510\) | 8996.23 | − | 24166.3i | 0.781098 | − | 2.09824i | ||||
\(511\) | −24741.0 | − | 3557.22i | −2.14184 | − | 0.307950i | ||||
\(512\) | −7067.72 | − | 10997.6i | −0.610063 | − | 0.949276i | ||||
\(513\) | −8065.12 | + | 14836.8i | −0.694120 | + | 1.27692i | ||||
\(514\) | 895.435 | + | 1033.39i | 0.0768403 | + | 0.0886785i | ||||
\(515\) | −20051.6 | + | 2882.98i | −1.71569 | + | 0.246679i | ||||
\(516\) | 18655.9 | + | 4046.03i | 1.59163 | + | 0.345187i | ||||
\(517\) | 1629.17 | + | 5548.45i | 0.138590 | + | 0.471993i | ||||
\(518\) | 7293.73 | + | 24840.2i | 0.618664 | + | 2.10698i | ||||
\(519\) | 10228.4 | + | 2218.30i | 0.865080 | + | 0.187616i | ||||
\(520\) | 314.604 | − | 45.2333i | 0.0265314 | − | 0.00381464i | ||||
\(521\) | −12066.1 | − | 13925.1i | −1.01464 | − | 1.17096i | −0.985203 | − | 0.171390i | \(-0.945174\pi\) |
−0.0294368 | − | 0.999567i | \(-0.509371\pi\) | |||||||
\(522\) | −5131.00 | − | 4434.73i | −0.430225 | − | 0.371844i | ||||
\(523\) | −8507.04 | − | 13237.2i | −0.711256 | − | 1.10674i | −0.989261 | − | 0.146157i | \(-0.953310\pi\) |
0.278005 | − | 0.960580i | \(-0.410327\pi\) | |||||||
\(524\) | −11721.6 | − | 1685.32i | −0.977218 | − | 0.140503i | ||||
\(525\) | −10875.2 | + | 29213.8i | −0.904065 | + | 2.42856i | ||||
\(526\) | −13063.1 | − | 11319.2i | −1.08285 | − | 0.938293i | ||||
\(527\) | 3651.35 | + | 1072.13i | 0.301813 | + | 0.0886201i | ||||
\(528\) | 5022.39 | − | 1095.87i | 0.413961 | − | 0.0903249i | ||||
\(529\) | −2824.67 | + | 11834.6i | −0.232159 | + | 0.972678i | ||||
\(530\) | 12690.8i | 1.04010i | ||||||||
\(531\) | 575.156 | + | 3964.82i | 0.0470050 | + | 0.324028i | ||||
\(532\) | −22808.2 | + | 26322.0i | −1.85876 | + | 2.14512i | ||||
\(533\) | 175.890 | − | 273.690i | 0.0142939 | − | 0.0222417i | ||||
\(534\) | −14453.9 | + | 1042.92i | −1.17131 | + | 0.0845157i | ||||
\(535\) | 9574.59 | − | 6153.22i | 0.773730 | − | 0.497246i | ||||
\(536\) | 4012.11 | + | 8785.29i | 0.323315 | + | 0.707961i | ||||
\(537\) | 3549.32 | − | 4747.56i | 0.285222 | − | 0.381513i | ||||
\(538\) | 128.373 | + | 892.852i | 0.0102873 | + | 0.0715494i | ||||
\(539\) | 4540.91 | − | 9943.21i | 0.362877 | − | 0.794590i | ||||
\(540\) | −16033.2 | + | 21502.5i | −1.27770 | + | 1.71355i | ||||
\(541\) | −11817.4 | + | 3469.89i | −0.939128 | + | 0.275753i | −0.715253 | − | 0.698865i | \(-0.753689\pi\) |
−0.223874 | + | 0.974618i | \(0.571871\pi\) | |||||||
\(542\) | −5450.40 | − | 2489.11i | −0.431946 | − | 0.197263i | ||||
\(543\) | 2659.97 | − | 994.029i | 0.210222 | − | 0.0785596i | ||||
\(544\) | −11876.8 | + | 10291.3i | −0.936056 | + | 0.811097i | ||||
\(545\) | −7091.22 | + | 3238.45i | −0.557348 | + | 0.254532i | ||||
\(546\) | −745.722 | + | 746.663i | −0.0584505 | + | 0.0585242i | ||||
\(547\) | 2355.54 | − | 16383.1i | 0.184123 | − | 1.28061i | −0.662762 | − | 0.748831i | \(-0.730616\pi\) |
0.846885 | − | 0.531776i | \(-0.178475\pi\) | |||||||
\(548\) | 6920.77 | + | 4447.71i | 0.539490 | + | 0.346709i | ||||
\(549\) | −1186.36 | − | 346.723i | −0.0922269 | − | 0.0269541i | ||||
\(550\) | 6511.07 | − | 22174.7i | 0.504787 | − | 1.71915i | ||||
\(551\) | 7054.36 | 0.545419 | ||||||||
\(552\) | 3693.53 | − | 4496.06i | 0.284796 | − | 0.346675i | ||||
\(553\) | 30936.7 | 2.37896 | ||||||||
\(554\) | 1085.47 | − | 3696.78i | 0.0832442 | − | 0.283504i | ||||
\(555\) | −18207.7 | − | 9927.26i | −1.39256 | − | 0.759259i | ||||
\(556\) | −3312.97 | − | 2129.11i | −0.252700 | − | 0.162400i | ||||
\(557\) | −566.475 | + | 3939.92i | −0.0430922 | + | 0.299713i | 0.956866 | + | 0.290531i | \(0.0938318\pi\) |
−0.999958 | + | 0.00918191i | \(0.997077\pi\) | |||||||
\(558\) | −5903.95 | − | 3783.73i | −0.447910 | − | 0.287058i | ||||
\(559\) | −547.260 | + | 249.925i | −0.0414072 | + | 0.0189101i | ||||
\(560\) | 15337.0 | − | 13289.6i | 1.15733 | − | 1.00283i | ||||
\(561\) | −2865.25 | − | 7667.27i | −0.215634 | − | 0.577027i | ||||
\(562\) | −17821.6 | − | 8138.86i | −1.33765 | − | 0.610885i | ||||
\(563\) | −14643.4 | + | 4299.69i | −1.09617 | + | 0.321866i | −0.779331 | − | 0.626612i | \(-0.784441\pi\) |
−0.316843 | + | 0.948478i | \(0.602623\pi\) | |||||||
\(564\) | 5959.41 | + | 10897.5i | 0.444923 | + | 0.813596i | ||||
\(565\) | −14840.5 | + | 32496.1i | −1.10503 | + | 2.41969i | ||||
\(566\) | −3819.22 | − | 26563.3i | −0.283629 | − | 1.97268i | ||||
\(567\) | −51.2682 | − | 20343.9i | −0.00379729 | − | 1.50681i | ||||
\(568\) | 784.704 | + | 1718.26i | 0.0579674 | + | 0.126931i | ||||
\(569\) | −9256.68 | + | 5948.91i | −0.682004 | + | 0.438297i | −0.835235 | − | 0.549893i | \(-0.814668\pi\) |
0.153231 | + | 0.988190i | \(0.451032\pi\) | |||||||
\(570\) | −3557.05 | − | 49297.5i | −0.261383 | − | 3.62254i | ||||
\(571\) | −6807.14 | + | 10592.1i | −0.498896 | + | 0.776298i | −0.995805 | − | 0.0915051i | \(-0.970832\pi\) |
0.496908 | + | 0.867803i | \(0.334469\pi\) | |||||||
\(572\) | 289.205 | − | 333.760i | 0.0211403 | − | 0.0243972i | ||||
\(573\) | −19469.1 | − | 1380.13i | −1.41943 | − | 0.100621i | ||||
\(574\) | 22916.0i | 1.66637i | ||||||||
\(575\) | 8853.70 | + | 21997.3i | 0.642130 | + | 1.59540i | ||||
\(576\) | 18581.7 | − | 8514.28i | 1.34416 | − | 0.615906i | ||||
\(577\) | 9431.27 | + | 2769.27i | 0.680466 | + | 0.199803i | 0.603658 | − | 0.797243i | \(-0.293709\pi\) |
0.0768074 | + | 0.997046i | \(0.475527\pi\) | |||||||
\(578\) | −3139.73 | − | 2720.59i | −0.225944 | − | 0.195781i | ||||
\(579\) | 13264.9 | + | 4938.03i | 0.952107 | + | 0.354435i | ||||
\(580\) | 11090.5 | + | 1594.57i | 0.793976 | + | 0.114157i | ||||
\(581\) | 13507.7 | + | 21018.4i | 0.964533 | + | 1.50084i | ||||
\(582\) | −6807.09 | − | 9081.28i | −0.484816 | − | 0.646789i | ||||
\(583\) | 2637.99 | + | 3044.40i | 0.187400 | + | 0.216272i | ||||
\(584\) | 9000.35 | − | 1294.06i | 0.637735 | − | 0.0916924i | ||||
\(585\) | −1.06514 | − | 845.323i | −7.52788e−5 | − | 0.0597433i | ||||
\(586\) | 3446.64 | + | 11738.2i | 0.242968 | + | 0.827474i | ||||
\(587\) | 1406.93 | + | 4791.55i | 0.0989268 | + | 0.336914i | 0.994053 | − | 0.108900i | \(-0.0347327\pi\) |
−0.895126 | + | 0.445813i | \(0.852915\pi\) | |||||||
\(588\) | 4976.28 | − | 22945.2i | 0.349011 | − | 1.60926i | ||||
\(589\) | 7219.86 | − | 1038.06i | 0.505075 | − | 0.0726188i | ||||
\(590\) | −7678.77 | − | 8861.78i | −0.535814 | − | 0.618362i | ||||
\(591\) | 12862.3 | − | 9641.27i | 0.895238 | − | 0.671047i | ||||
\(592\) | 4615.39 | + | 7181.69i | 0.320425 | + | 0.498591i | ||||
\(593\) | 17163.2 | + | 2467.70i | 1.18855 | + | 0.170887i | 0.708085 | − | 0.706128i | \(-0.249560\pi\) |
0.480463 | + | 0.877015i | \(0.340469\pi\) | |||||||
\(594\) | 1104.42 | + | 15042.2i | 0.0762878 | + | 1.03904i | ||||
\(595\) | −24420.6 | − | 21160.6i | −1.68260 | − | 1.45798i | ||||
\(596\) | −2413.69 | − | 708.723i | −0.165887 | − | 0.0487088i | ||||
\(597\) | −493.211 | − | 2260.40i | −0.0338120 | − | 0.154961i | ||||
\(598\) | −36.7107 | + | 801.889i | −0.00251039 | + | 0.0548356i | ||||
\(599\) | − | 4735.04i | − | 0.322986i | −0.986874 | − | 0.161493i | \(-0.948369\pi\) | ||
0.986874 | − | 0.161493i | \(-0.0516309\pi\) | |||||||
\(600\) | 801.858 | − | 11311.6i | 0.0545595 | − | 0.769656i | ||||
\(601\) | 18390.1 | − | 21223.3i | 1.24816 | − | 1.44046i | 0.395109 | − | 0.918634i | \(-0.370707\pi\) |
0.853054 | − | 0.521822i | \(-0.174748\pi\) | |||||||
\(602\) | 22911.1 | − | 35650.3i | 1.55114 | − | 2.41362i | ||||
\(603\) | 24636.9 | − | 7267.78i | 1.66384 | − | 0.490824i | ||||
\(604\) | 1794.71 | − | 1153.39i | 0.120903 | − | 0.0776999i | ||||
\(605\) | 5375.47 | + | 11770.6i | 0.361230 | + | 0.790982i | ||||
\(606\) | −19989.7 | − | 14944.4i | −1.33998 | − | 1.00178i | ||||
\(607\) | 1591.05 | + | 11066.0i | 0.106390 | + | 0.739958i | 0.971270 | + | 0.237980i | \(0.0764852\pi\) |
−0.864880 | + | 0.501978i | \(0.832606\pi\) | |||||||
\(608\) | −12513.1 | + | 27399.9i | −0.834660 | + | 1.82765i | ||||
\(609\) | −7456.28 | + | 4077.54i | −0.496131 | + | 0.271314i | ||||
\(610\) | 3470.98 | − | 1019.17i | 0.230387 | − | 0.0676477i | ||||
\(611\) | −356.073 | − | 162.613i | −0.0235764 | − | 0.0107670i | ||||
\(612\) | −9523.51 | − | 14777.9i | −0.629028 | − | 0.976080i | ||||
\(613\) | −137.466 | + | 119.115i | −0.00905741 | + | 0.00784829i | −0.659378 | − | 0.751812i | \(-0.729180\pi\) |
0.650320 | + | 0.759660i | \(0.274635\pi\) | |||||||
\(614\) | 8820.86 | − | 4028.35i | 0.579773 | − | 0.264774i | ||||
\(615\) | −12988.4 | − | 12972.0i | −0.851613 | − | 0.850541i | ||||
\(616\) | −1011.35 | + | 7034.08i | −0.0661500 | + | 0.460083i | ||||
\(617\) | 4389.73 | + | 2821.11i | 0.286425 | + | 0.184074i | 0.675962 | − | 0.736937i | \(-0.263729\pi\) |
−0.389537 | + | 0.921011i | \(0.627365\pi\) | |||||||
\(618\) | −11712.6 | + | 21482.1i | −0.762375 | + | 1.39828i | ||||
\(619\) | −1272.82 | + | 4334.83i | −0.0826479 | + | 0.281473i | −0.990439 | − | 0.137949i | \(-0.955949\pi\) |
0.907791 | + | 0.419422i | \(0.137767\pi\) | |||||||
\(620\) | 11585.3 | 0.750446 | ||||||||
\(621\) | −10452.4 | − | 11411.9i | −0.675424 | − | 0.737429i | ||||
\(622\) | 8265.66 | 0.532834 | ||||||||
\(623\) | −5116.06 | + | 17423.7i | −0.329006 | + | 1.12049i | ||||
\(624\) | −166.576 | + | 305.519i | −0.0106865 | + | 0.0196002i | ||||
\(625\) | 3126.39 | + | 2009.21i | 0.200089 | + | 0.128589i | ||||
\(626\) | 3163.18 | − | 22000.4i | 0.201959 | − | 1.40466i | ||||
\(627\) | −11100.6 | − | 11086.6i | −0.707040 | − | 0.706150i | ||||
\(628\) | −431.002 | + | 196.832i | −0.0273867 | + | 0.0125071i | ||||
\(629\) | 10272.9 | − | 8901.54i | 0.651206 | − | 0.564273i | ||||
\(630\) | 32254.5 | + | 50050.2i | 2.03976 | + | 3.16516i | ||||
\(631\) | −4372.17 | − | 1996.70i | −0.275837 | − | 0.125971i | 0.272694 | − | 0.962101i | \(-0.412085\pi\) |
−0.548531 | + | 0.836130i | \(0.684813\pi\) | |||||||
\(632\) | −10798.4 | + | 3170.68i | −0.679645 | + | 0.199562i | ||||
\(633\) | 13339.3 | − | 7294.74i | 0.837584 | − | 0.458041i | ||||
\(634\) | 13545.7 | − | 29661.0i | 0.848532 | − | 1.85802i | ||||
\(635\) | −132.115 | − | 918.879i | −0.00825640 | − | 0.0574245i | ||||
\(636\) | 6929.86 | + | 5180.82i | 0.432055 | + | 0.323007i | ||||
\(637\) | 307.387 | + | 673.085i | 0.0191195 | + | 0.0418659i | ||||
\(638\) | 5300.39 | − | 3406.35i | 0.328910 | − | 0.211378i | ||||
\(639\) | 4818.59 | − | 1421.46i | 0.298310 | − | 0.0880003i | ||||
\(640\) | −12385.7 | + | 19272.6i | −0.764984 | + | 1.19034i | ||||
\(641\) | 739.641 | − | 853.591i | 0.0455758 | − | 0.0525972i | −0.732504 | − | 0.680763i | \(-0.761648\pi\) |
0.778080 | + | 0.628166i | \(0.216194\pi\) | |||||||
\(642\) | 972.028 | − | 13712.1i | 0.0597552 | − | 0.842951i | ||||
\(643\) | 15751.2i | 0.966046i | 0.875608 | + | 0.483023i | \(0.160461\pi\) | ||||
−0.875608 | + | 0.483023i | \(0.839539\pi\) | |||||||
\(644\) | −16009.7 | − | 27611.4i | −0.979612 | − | 1.68951i | ||||
\(645\) | 7236.72 | + | 33166.1i | 0.441776 | + | 2.02467i | ||||
\(646\) | 31084.3 | + | 9127.18i | 1.89318 | + | 0.555889i | ||||
\(647\) | −1986.02 | − | 1720.90i | −0.120678 | − | 0.104568i | 0.592431 | − | 0.805621i | \(-0.298168\pi\) |
−0.713109 | + | 0.701053i | \(0.752714\pi\) | |||||||
\(648\) | 2102.92 | + | 7095.70i | 0.127486 | + | 0.430163i | ||||
\(649\) | −3684.12 | − | 529.697i | −0.222827 | − | 0.0320376i | ||||
\(650\) | 845.799 | + | 1316.09i | 0.0510384 | + | 0.0794173i | ||||
\(651\) | −7031.20 | + | 5270.40i | −0.423309 | + | 0.317302i | ||||
\(652\) | −9429.62 | − | 10882.4i | −0.566399 | − | 0.653660i | ||||
\(653\) | 3803.81 | − | 546.906i | 0.227955 | − | 0.0327750i | −0.0273906 | − | 0.999625i | \(-0.508720\pi\) |
0.255346 | + | 0.966850i | \(0.417811\pi\) | |||||||
\(654\) | −1995.67 | + | 9201.83i | −0.119322 | + | 0.550184i | ||||
\(655\) | −5932.88 | − | 20205.5i | −0.353919 | − | 1.20534i | ||||
\(656\) | 2128.94 | + | 7250.52i | 0.126709 | + | 0.431532i | ||||
\(657\) | −30.4720 | − | 24183.4i | −0.00180948 | − | 1.43605i | ||||
\(658\) | 27292.2 | − | 3924.02i | 1.61696 | − | 0.232484i | ||||
\(659\) | 16585.1 | + | 19140.2i | 0.980369 | + | 1.13141i | 0.991321 | + | 0.131466i | \(0.0419685\pi\) |
−0.0109514 | + | 0.999940i | \(0.503486\pi\) | |||||||
\(660\) | −14945.7 | − | 19938.9i | −0.881454 | − | 1.17594i | ||||
\(661\) | 1366.34 | + | 2126.07i | 0.0804002 | + | 0.125105i | 0.879125 | − | 0.476592i | \(-0.158128\pi\) |
−0.798725 | + | 0.601697i | \(0.794492\pi\) | |||||||
\(662\) | 35307.4 | + | 5076.44i | 2.07290 | + | 0.298038i | ||||
\(663\) | 519.264 | + | 193.303i | 0.0304171 | + | 0.0113232i | ||||
\(664\) | −6868.97 | − | 5952.00i | −0.401458 | − | 0.347865i | ||||
\(665\) | −59426.6 | − | 17449.2i | −3.46536 | − | 1.01752i | ||||
\(666\) | −22771.1 | + | 10433.9i | −1.32487 | + | 0.607067i | ||||
\(667\) | −2103.04 | + | 6112.92i | −0.122084 | + | 0.354862i | ||||
\(668\) | 35072.6i | 2.03144i | ||||||||
\(669\) | −3423.51 | − | 242.686i | −0.197848 | − | 0.0140251i | ||||
\(670\) | −49232.4 | + | 56817.3i | −2.83883 | + | 3.27618i | ||||
\(671\) | 620.803 | − | 965.988i | 0.0357166 | − | 0.0555761i | ||||
\(672\) | −2611.55 | − | 36193.8i | −0.149915 | − | 2.07768i | ||||
\(673\) | −4945.26 | + | 3178.12i | −0.283248 | + | 0.182032i | −0.674548 | − | 0.738231i | \(-0.735662\pi\) |
0.391301 | + | 0.920263i | \(0.372025\pi\) | |||||||
\(674\) | −11055.6 | − | 24208.3i | −0.631817 | − | 1.38349i | ||||
\(675\) | −29482.5 | − | 6355.19i | −1.68116 | − | 0.362387i | ||||
\(676\) | −3237.68 | − | 22518.6i | −0.184210 | − | 1.28121i | ||||
\(677\) | 9168.21 | − | 20075.6i | 0.520477 | − | 1.13969i | −0.448782 | − | 0.893641i | \(-0.648142\pi\) |
0.969259 | − | 0.246044i | \(-0.0791307\pi\) | |||||||
\(678\) | 20702.7 | + | 37857.5i | 1.17269 | + | 2.14441i | ||||
\(679\) | −13645.7 | + | 4006.74i | −0.771243 | + | 0.226457i | ||||
\(680\) | 10692.7 | + | 4883.17i | 0.603007 | + | 0.275384i | ||||
\(681\) | −11761.9 | − | 31474.3i | −0.661846 | − | 1.77107i | ||||
\(682\) | 4923.49 | − | 4266.23i | 0.276437 | − | 0.239534i | ||||
\(683\) | 22084.8 | − | 10085.8i | 1.23726 | − | 0.565039i | 0.314079 | − | 0.949397i | \(-0.398304\pi\) |
0.923184 | + | 0.384358i | \(0.125577\pi\) | |||||||
\(684\) | −28371.1 | − | 18182.5i | −1.58596 | − | 1.01641i | ||||
\(685\) | −2081.97 | + | 14480.4i | −0.116128 | + | 0.807691i | ||||
\(686\) | −9335.16 | − | 5999.34i | −0.519560 | − | 0.333901i | ||||
\(687\) | 22866.4 | + | 12467.3i | 1.26988 | + | 0.692370i | ||||
\(688\) | 3936.96 | − | 13408.1i | 0.218162 | − | 0.742990i | ||||
\(689\) | −272.689 | −0.0150778 | ||||||||
\(690\) | 43778.9 | + | 11614.2i | 2.41541 | + | 0.640788i | ||||
\(691\) | 25319.3 | 1.39391 | 0.696955 | − | 0.717115i | \(-0.254538\pi\) | ||||
0.696955 | + | 0.717115i | \(0.254538\pi\) | |||||||
\(692\) | −5883.93 | + | 20038.8i | −0.323227 | + | 1.10081i | ||||
\(693\) | 18141.3 | + | 5301.94i | 0.994415 | + | 0.290626i | ||||
\(694\) | −22561.4 | − | 14499.4i | −1.23404 | − | 0.793067i | ||||
\(695\) | 996.638 | − | 6931.77i | 0.0543952 | − | 0.378327i | ||||
\(696\) | 2184.69 | − | 2187.44i | 0.118980 | − | 0.119130i | ||||
\(697\) | 10944.8 | − | 4998.34i | 0.594785 | − | 0.271629i | ||||
\(698\) | −39026.6 | + | 33816.7i | −2.11630 | + | 1.83378i | ||||
\(699\) | −9752.17 | + | 3644.37i | −0.527698 | + | 0.197200i | ||||
\(700\) | −56582.0 | − | 25840.1i | −3.05514 | − | 1.39524i | ||||
\(701\) | 1146.29 | − | 336.582i | 0.0617616 | − | 0.0181348i | −0.250706 | − | 0.968063i | \(-0.580663\pi\) |
0.312467 | + | 0.949928i | \(0.398845\pi\) | |||||||
\(702\) | −818.502 | − | 610.312i | −0.0440062 | − | 0.0328130i | ||||
\(703\) | 10823.3 | − | 23699.7i | 0.580665 | − | 1.27148i | ||||
\(704\) | 2702.41 | + | 18795.7i | 0.144674 | + | 1.00623i | ||||
\(705\) | −13225.2 | + | 17690.0i | −0.706508 | + | 0.945024i | ||||
\(706\) | 6506.16 | + | 14246.5i | 0.346831 | + | 0.759454i | ||||
\(707\) | −26310.6 | + | 16908.8i | −1.39959 | + | 0.899463i | ||||
\(708\) | −7973.72 | + | 575.341i | −0.423264 | + | 0.0305405i | ||||
\(709\) | −6261.38 | + | 9742.90i | −0.331666 | + | 0.516082i | −0.966534 | − | 0.256538i | \(-0.917418\pi\) |
0.634868 | + | 0.772621i | \(0.281054\pi\) | |||||||
\(710\) | −9629.08 | + | 11112.5i | −0.508976 | + | 0.587389i | ||||
\(711\) | 4297.05 | + | 29621.6i | 0.226655 | + | 1.56244i | ||||
\(712\) | − | 6606.02i | − | 0.347712i | ||||||
\(713\) | −1252.85 | + | 6565.80i | −0.0658059 | + | 0.344868i | ||||
\(714\) | −38131.0 | + | 8320.06i | −1.99862 | + | 0.436093i | ||||
\(715\) | 753.522 | + | 221.254i | 0.0394127 | + | 0.0115726i | ||||
\(716\) | 8939.28 | + | 7745.93i | 0.466588 | + | 0.404300i | ||||
\(717\) | −11009.7 | + | 29575.2i | −0.573454 | + | 1.54045i | ||||
\(718\) | −33053.6 | − | 4752.39i | −1.71804 | − | 0.247016i | ||||
\(719\) | 3380.02 | + | 5259.42i | 0.175318 | + | 0.272800i | 0.917781 | − | 0.397087i | \(-0.129979\pi\) |
−0.742463 | + | 0.669887i | \(0.766342\pi\) | |||||||
\(720\) | 14854.9 | + | 12839.1i | 0.768903 | + | 0.664564i | ||||
\(721\) | 20078.3 | + | 23171.6i | 1.03711 | + | 1.19689i | ||||
\(722\) | 32365.9 | − | 4653.51i | 1.66833 | − | 0.239869i | ||||
\(723\) | −11578.9 | − | 2511.20i | −0.595608 | − | 0.129174i | ||||
\(724\) | 1596.40 | + | 5436.85i | 0.0819473 | + | 0.279087i | ||||
\(725\) | 3549.49 | + | 12088.4i | 0.181827 | + | 0.619246i | ||||
\(726\) | 15274.0 | + | 3312.58i | 0.780815 | + | 0.169341i | ||||
\(727\) | −806.021 | + | 115.888i | −0.0411192 | + | 0.00591205i | −0.162844 | − | 0.986652i | \(-0.552067\pi\) |
0.121725 | + | 0.992564i | \(0.461158\pi\) | |||||||
\(728\) | −315.023 | − | 363.556i | −0.0160378 | − | 0.0185086i | ||||
\(729\) | 19471.9 | − | 2874.81i | 0.989276 | − | 0.146055i | ||||
\(730\) | 38266.9 | + | 59544.4i | 1.94017 | + | 3.01896i | ||||
\(731\) | −22024.0 | − | 3166.58i | −1.11435 | − | 0.160219i | ||||
\(732\) | 860.448 | − | 2311.40i | 0.0434468 | − | 0.116710i | ||||
\(733\) | −5881.60 | − | 5096.43i | −0.296373 | − | 0.256809i | 0.493962 | − | 0.869484i | \(-0.335548\pi\) |
−0.790335 | + | 0.612674i | \(0.790094\pi\) | |||||||
\(734\) | −28312.3 | − | 8313.24i | −1.42374 | − | 0.418048i | ||||
\(735\) | 40791.5 | − | 8900.56i | 2.04710 | − | 0.446670i | ||||
\(736\) | −20012.8 | − | 19011.6i | −1.00229 | − | 0.952141i | ||||
\(737\) | 23863.6i | 1.19271i | ||||||||
\(738\) | −21941.9 | + | 3182.99i | −1.09443 | + | 0.158764i | ||||
\(739\) | −5191.76 | + | 5991.61i | −0.258433 | + | 0.298248i | −0.870108 | − | 0.492862i | \(-0.835951\pi\) |
0.611675 | + | 0.791109i | \(0.290496\pi\) | |||||||
\(740\) | 22372.8 | − | 34812.8i | 1.11141 | − | 1.72938i | ||||
\(741\) | 1059.26 | − | 76.4306i | 0.0525140 | − | 0.00378913i | ||||
\(742\) | 16158.6 | − | 10384.5i | 0.799461 | − | 0.513782i | ||||
\(743\) | −3231.21 | − | 7075.36i | −0.159545 | − | 0.349354i | 0.812931 | − | 0.582361i | \(-0.197871\pi\) |
−0.972475 | + | 0.233007i | \(0.925144\pi\) | |||||||
\(744\) | 1914.06 | − | 2560.24i | 0.0943181 | − | 0.126160i | ||||
\(745\) | −636.630 | − | 4427.86i | −0.0313078 | − | 0.217751i | ||||
\(746\) | 350.262 | − | 766.967i | 0.0171904 | − | 0.0376416i | ||||
\(747\) | −18248.7 | + | 15852.9i | −0.893822 | + | 0.776475i | ||||
\(748\) | 15671.5 | − | 4601.57i | 0.766052 | − | 0.224933i | ||||
\(749\) | −15669.1 | − | 7155.85i | −0.764402 | − | 0.349091i | ||||
\(750\) | 34606.9 | − | 12932.5i | 1.68488 | − | 0.629639i | ||||
\(751\) | 20373.5 | − | 17653.8i | 0.989934 | − | 0.857782i | 9.83404e−5 | − | 1.00000i | \(-0.499969\pi\) |
0.989835 | + | 0.142217i | \(0.0454232\pi\) | |||||||
\(752\) | 8270.55 | − | 3777.03i | 0.401058 | − | 0.183157i | ||||
\(753\) | 14036.3 | − | 14054.0i | 0.679297 | − | 0.680154i | ||||
\(754\) | −60.6980 | + | 422.164i | −0.00293169 | + | 0.0203903i | ||||
\(755\) | 3191.47 | + | 2051.03i | 0.153840 | + | 0.0988673i | ||||
\(756\) | 40497.4 | + | 2819.51i | 1.94825 | + | 0.135641i | ||||
\(757\) | 6041.58 | − | 20575.7i | 0.290073 | − | 0.987897i | −0.677546 | − | 0.735481i | \(-0.736956\pi\) |
0.967619 | − | 0.252417i | \(-0.0812254\pi\) | |||||||
\(758\) | −2790.88 | −0.133732 | ||||||||
\(759\) | 12916.3 | − | 6314.02i | 0.617698 | − | 0.301956i | ||||
\(760\) | 22531.0 | 1.07538 | ||||||||
\(761\) | 5572.34 | − | 18977.7i | 0.265437 | − | 0.903994i | −0.713642 | − | 0.700511i | \(-0.752956\pi\) |
0.979078 | − | 0.203483i | \(-0.0652262\pi\) | |||||||
\(762\) | −984.433 | − | 536.736i | −0.0468008 | − | 0.0255169i | ||||
\(763\) | 9925.86 | + | 6378.96i | 0.470957 | + | 0.302666i | ||||
\(764\) | 5542.78 | − | 38550.9i | 0.262475 | − | 1.82555i | ||||
\(765\) | 16869.1 | − | 26321.6i | 0.797258 | − | 1.24400i | ||||
\(766\) | 37920.4 | − | 17317.7i | 1.78867 | − | 0.816858i | ||||
\(767\) | 190.414 | − | 164.994i | 0.00896407 | − | 0.00776741i | ||||
\(768\) | −1329.63 | − | 3558.04i | −0.0624727 | − | 0.167174i | ||||
\(769\) | −19063.1 | − | 8705.82i | −0.893930 | − | 0.408244i | −0.0851588 | − | 0.996367i | \(-0.527140\pi\) |
−0.808771 | + | 0.588123i | \(0.799867\pi\) | |||||||
\(770\) | −53076.7 | + | 15584.7i | −2.48409 | + | 0.729396i | ||||
\(771\) | 795.407 | + | 1454.50i | 0.0371542 | + | 0.0679411i | ||||
\(772\) | −11733.0 | + | 25691.7i | −0.546996 | + | 1.19775i | ||||
\(773\) | −1185.17 | − | 8243.03i | −0.0551456 | − | 0.383546i | −0.998639 | − | 0.0521548i | \(-0.983391\pi\) |
0.943493 | − | 0.331391i | \(-0.107518\pi\) | |||||||
\(774\) | 37317.2 | + | 16985.4i | 1.73299 | + | 0.788794i | ||||
\(775\) | 5411.59 | + | 11849.7i | 0.250826 | + | 0.549232i | ||||
\(776\) | 4352.34 | − | 2797.08i | 0.201340 | − | 0.129393i | ||||
\(777\) | 2258.87 | + | 31306.0i | 0.104294 | + | 1.44543i | ||||
\(778\) | 12460.6 | − | 19389.0i | 0.574207 | − | 0.893483i | ||||
\(779\) | 15102.6 | − | 17429.4i | 0.694619 | − | 0.801633i | ||||
\(780\) | 1682.58 | + | 119.275i | 0.0772387 | + | 0.00547531i | ||||
\(781\) | 4667.34i | 0.213842i | ||||||||
\(782\) | −17175.9 | + | 24215.0i | −0.785434 | + | 1.10732i | ||||
\(783\) | −4939.87 | − | 6572.96i | −0.225462 | − | 0.299998i | ||||
\(784\) | −16490.8 | − | 4842.13i | −0.751220 | − | 0.220578i | ||||
\(785\) | −636.779 | − | 551.772i | −0.0289524 | − | 0.0250874i | ||||
\(786\) | −23836.7 | − | 8873.53i | −1.08171 | − | 0.402683i | ||||
\(787\) | 14260.5 | + | 2050.35i | 0.645910 | + | 0.0928678i | 0.457482 | − | 0.889219i | \(-0.348752\pi\) |
0.188428 | + | 0.982087i | \(0.439661\pi\) | |||||||
\(788\) | 17341.7 | + | 26984.2i | 0.783976 | + | 1.21989i | ||||
\(789\) | −12569.1 | − | 16768.3i | −0.567138 | − | 0.756613i | ||||
\(790\) | −57368.9 | − | 66207.2i | −2.58366 | − | 2.98171i | ||||
\(791\) | 53519.1 | − | 7694.88i | 2.40571 | − | 0.345889i | ||||
\(792\) | −6875.54 | + | 8.66345i | −0.308474 | + | 0.000388690i | ||||
\(793\) | 21.8990 | + | 74.5813i | 0.000980653 | + | 0.00333980i | ||||
\(794\) | −639.886 | − | 2179.25i | −0.0286004 | − | 0.0974040i | ||||
\(795\) | −3261.11 | + | 15036.7i | −0.145484 | + | 0.670813i | ||||
\(796\) | 4569.66 | − | 657.018i | 0.203476 | − | 0.0292555i | ||||
\(797\) | 491.082 | + | 566.739i | 0.0218256 | + | 0.0251881i | 0.766557 | − | 0.642176i | \(-0.221968\pi\) |
−0.744732 | + | 0.667364i | \(0.767423\pi\) | |||||||
\(798\) | −59857.3 | + | 44867.5i | −2.65530 | + | 1.99034i | ||||
\(799\) | −7826.97 | − | 12179.0i | −0.346556 | − | 0.539252i | ||||
\(800\) | −53248.9 | − | 7656.03i | −2.35329 | − | 0.338352i | ||||
\(801\) | −17393.6 | − | 2478.46i | −0.767258 | − | 0.109328i | ||||
\(802\) | 46861.1 | + | 40605.4i | 2.06325 | + | 1.78781i | ||||
\(803\) | 21557.1 | + | 6329.74i | 0.947364 | + | 0.278171i | ||||
\(804\) | 10926.9 | + | 50078.1i | 0.479305 | + | 2.19667i | ||||
\(805\) | 32836.7 | − | 46293.8i | 1.43769 | − | 2.02689i | ||||
\(806\) | 441.000i | 0.0192724i | ||||||||
\(807\) | −77.3305 | + | 1090.88i | −0.00337319 | + | 0.0475846i | ||||
\(808\) | 7450.65 | − | 8598.51i | 0.324397 | − | 0.374374i | ||||
\(809\) | 12245.9 | − | 19055.0i | 0.532191 | − | 0.828105i | −0.466208 | − | 0.884675i | \(-0.654380\pi\) |
0.998399 | + | 0.0565702i | \(0.0180165\pi\) | |||||||
\(810\) | −43442.5 | + | 37835.3i | −1.88446 | + | 1.64123i | ||||
\(811\) | −5026.00 | + | 3230.01i | −0.217616 | + | 0.139853i | −0.644908 | − | 0.764260i | \(-0.723104\pi\) |
0.427291 | + | 0.904114i | \(0.359468\pi\) | |||||||
\(812\) | −7044.67 | − | 15425.7i | −0.304457 | − | 0.666669i | ||||
\(813\) | −5818.27 | − | 4349.78i | −0.250991 | − | 0.187643i | ||||
\(814\) | −3311.69 | − | 23033.3i | −0.142598 | − | 0.991791i | ||||
\(815\) | 10637.1 | − | 23292.1i | 0.457181 | − | 1.00109i | ||||
\(816\) | −11291.5 | + | 6174.86i | −0.484414 | + | 0.264906i | ||||
\(817\) | −40920.7 | + | 12015.4i | −1.75230 | + | 0.514523i | ||||
\(818\) | −31269.7 | − | 14280.4i | −1.33658 | − | 0.610395i | ||||
\(819\) | −1075.43 | + | 693.055i | −0.0458836 | + | 0.0295694i | ||||
\(820\) | 27683.2 | − | 23987.7i | 1.17895 | − | 1.02157i | ||||
\(821\) | −5907.42 | + | 2697.83i | −0.251121 | + | 0.114683i | −0.536999 | − | 0.843583i | \(-0.680442\pi\) |
0.285878 | + | 0.958266i | \(0.407715\pi\) | |||||||
\(822\) | 12502.1 | + | 12486.3i | 0.530487 | + | 0.529819i | ||||
\(823\) | −5035.96 | + | 35025.9i | −0.213296 | + | 1.48351i | 0.548751 | + | 0.835986i | \(0.315103\pi\) |
−0.762047 | + | 0.647521i | \(0.775806\pi\) | |||||||
\(824\) | −9383.10 | − | 6030.15i | −0.396694 | − | 0.254940i | ||||
\(825\) | 13412.7 | − | 24600.4i | 0.566026 | − | 1.03815i | ||||
\(826\) | −4999.95 | + | 17028.3i | −0.210618 | + | 0.717299i | ||||
\(827\) | −29957.1 | −1.25963 | −0.629813 | − | 0.776747i | \(-0.716868\pi\) | ||||
−0.629813 | + | 0.776747i | \(0.716868\pi\) | |||||||
\(828\) | 24213.9 | − | 19164.3i | 1.01630 | − | 0.804354i | ||||
\(829\) | −2195.26 | −0.0919719 | −0.0459859 | − | 0.998942i | \(-0.514643\pi\) | ||||
−0.0459859 | + | 0.998942i | \(0.514643\pi\) | |||||||
\(830\) | 19932.5 | − | 67884.0i | 0.833577 | − | 2.83890i | ||||
\(831\) | 2236.06 | − | 4101.18i | 0.0933432 | − | 0.171202i | ||||
\(832\) | −1081.36 | − | 694.948i | −0.0450594 | − | 0.0289579i | ||||
\(833\) | −3894.63 | + | 27087.7i | −0.161994 | + | 1.12669i | ||||
\(834\) | −5984.74 | − | 5977.21i | −0.248483 | − | 0.248170i | ||||
\(835\) | −56732.4 | + | 25908.8i | −2.35126 | + | 1.07379i | ||||
\(836\) | 23659.6 | − | 20501.2i | 0.978809 | − | 0.848143i | ||||
\(837\) | −6022.98 | − | 6000.26i | −0.248727 | − | 0.247789i | ||||
\(838\) | 27277.2 | + | 12457.1i | 1.12444 | + | 0.513512i | ||||
\(839\) | 4716.53 | − | 1384.90i | 0.194079 | − | 0.0569869i | −0.183248 | − | 0.983067i | \(-0.558661\pi\) |
0.377328 | + | 0.926080i | \(0.376843\pi\) | |||||||
\(840\) | −23814.7 | + | 13023.3i | −0.978197 | + | 0.534936i | ||||
\(841\) | 8704.71 | − | 19060.7i | 0.356911 | − | 0.781527i | ||||
\(842\) | 3054.27 | + | 21242.9i | 0.125009 | + | 0.869453i | ||||
\(843\) | −19024.5 | − | 14222.8i | −0.777269 | − | 0.581092i | ||||
\(844\) | 12602.9 | + | 27596.6i | 0.513995 | + | 1.12549i | ||||
\(845\) | 34033.6 | − | 21872.1i | 1.38555 | − | 0.890440i | ||||
\(846\) | 7548.04 | + | 25587.0i | 0.306746 | + | 1.03983i | ||||
\(847\) | 10588.4 | − | 16475.8i | 0.429540 | − | 0.668377i | ||||
\(848\) | 4147.75 | − | 4786.76i | 0.167965 | − | 0.193842i | ||||
\(849\) | 2300.66 | − | 32454.8i | 0.0930018 | − | 1.31195i | ||||
\(850\) | 57858.9i | 2.33476i | ||||||||
\(851\) | 17310.2 | + | 16444.2i | 0.697281 | + | 0.662396i | ||||
\(852\) | 2137.12 | + | 9794.48i | 0.0859350 | + | 0.393842i | ||||
\(853\) | −31578.2 | − | 9272.21i | −1.26755 | − | 0.372186i | −0.422249 | − | 0.906480i | \(-0.638759\pi\) |
−0.845299 | + | 0.534294i | \(0.820577\pi\) | |||||||
\(854\) | −4137.85 | − | 3585.46i | −0.165801 | − | 0.143667i | ||||
\(855\) | 8453.23 | − | 59324.0i | 0.338122 | − | 2.37291i | ||||
\(856\) | 6202.65 | + | 891.807i | 0.247666 | + | 0.0356090i | ||||
\(857\) | 17405.2 | + | 27083.0i | 0.693757 | + | 1.07951i | 0.992149 | + | 0.125064i | \(0.0399136\pi\) |
−0.298391 | + | 0.954444i | \(0.596450\pi\) | |||||||
\(858\) | 758.984 | − | 568.915i | 0.0301996 | − | 0.0226369i | ||||
\(859\) | 8105.17 | + | 9353.86i | 0.321938 | + | 0.371536i | 0.893531 | − | 0.449001i | \(-0.148220\pi\) |
−0.571593 | + | 0.820537i | \(0.693674\pi\) | |||||||
\(860\) | −67049.1 | + | 9640.20i | −2.65855 | + | 0.382242i | ||||
\(861\) | −5888.64 | + | 27152.0i | −0.233083 | + | 1.07472i | ||||
\(862\) | −20865.9 | − | 71062.7i | −0.824472 | − | 2.80790i | ||||
\(863\) | 9982.10 | + | 33995.9i | 0.393736 | + | 1.34094i | 0.883232 | + | 0.468937i | \(0.155363\pi\) |
−0.489495 | + | 0.872006i | \(0.662819\pi\) | |||||||
\(864\) | 34292.4 | − | 7527.77i | 1.35029 | − | 0.296412i | ||||
\(865\) | −36760.7 | + | 5285.39i | −1.44497 | + | 0.207756i | ||||
\(866\) | −12060.6 | − | 13918.7i | −0.473251 | − | 0.546161i | ||||
\(867\) | −3021.00 | − | 4030.28i | −0.118337 | − | 0.157873i | ||||
\(868\) | −9479.85 | − | 14750.9i | −0.370699 | − | 0.576820i | ||||
\(869\) | −27524.4 | − | 3957.42i | −1.07446 | − | 0.154484i | ||||
\(870\) | 22553.2 | + | 8395.72i | 0.878879 | + | 0.327174i | ||||
\(871\) | −1220.84 | − | 1057.86i | −0.0474931 | − | 0.0411530i | ||||
\(872\) | −4118.36 | − | 1209.26i | −0.159937 | − | 0.0469618i | ||||
\(873\) | −5731.78 | − | 12509.1i | −0.222212 | − | 0.484959i | ||||
\(874\) | −10665.6 | + | 55895.3i | −0.412781 | + | 2.16326i | ||||
\(875\) | − | 46295.0i | − | 1.78864i | ||||||
\(876\) | 48136.2 | + | 3412.29i | 1.85659 | + | 0.131610i | ||||
\(877\) | −22511.6 | + | 25979.7i | −0.866774 | + | 1.00031i | 0.133183 | + | 0.991091i | \(0.457480\pi\) |
−0.999957 | + | 0.00921963i | \(0.997065\pi\) | |||||||
\(878\) | −34114.5 | + | 53083.2i | −1.31129 | + | 2.04040i | ||||
\(879\) | 1067.43 | + | 14793.6i | 0.0409596 | + | 0.567663i | ||||
\(880\) | −15345.3 | + | 9861.85i | −0.587831 | + | 0.377776i | ||||
\(881\) | −164.777 | − | 360.812i | −0.00630135 | − | 0.0137980i | 0.906455 | − | 0.422302i | \(-0.138778\pi\) |
−0.912757 | + | 0.408504i | \(0.866051\pi\) | |||||||
\(882\) | 20890.6 | − | 45897.0i | 0.797532 | − | 1.75219i | ||||
\(883\) | 2213.26 | + | 15393.6i | 0.0843514 | + | 0.586677i | 0.987532 | + | 0.157417i | \(0.0503165\pi\) |
−0.903181 | + | 0.429260i | \(0.858774\pi\) | |||||||
\(884\) | −459.298 | + | 1005.72i | −0.0174749 | + | 0.0382648i | ||||
\(885\) | −6820.99 | − | 12473.0i | −0.259079 | − | 0.473758i | ||||
\(886\) | 63740.9 | − | 18716.0i | 2.41695 | − | 0.709681i | ||||
\(887\) | −20696.9 | − | 9451.94i | −0.783464 | − | 0.357796i | −0.0168121 | − | 0.999859i | \(-0.505352\pi\) |
−0.766652 | + | 0.642062i | \(0.778079\pi\) | |||||||
\(888\) | −3996.98 | − | 10695.7i | −0.151047 | − | 0.404196i | ||||
\(889\) | −1061.85 | + | 920.102i | −0.0400601 | + | 0.0347123i | ||||
\(890\) | 46775.4 | − | 21361.6i | 1.76170 | − | 0.804542i | ||||
\(891\) | −2556.77 | + | 18106.5i | −0.0961335 | + | 0.680798i | ||||
\(892\) | 974.659 | − | 6778.90i | 0.0365852 | − | 0.254456i | ||||
\(893\) | −23343.8 | − | 15002.2i | −0.874773 | − | 0.562182i | ||||
\(894\) | −4743.75 | − | 2586.40i | −0.177466 | − | 0.0967587i | ||||
\(895\) | −5925.96 | + | 20182.0i | −0.221322 | + | 0.753753i | ||||
\(896\) | 34673.6 | 1.29282 | ||||||||
\(897\) | −249.555 | + | 940.682i | −0.00928917 | + | 0.0350150i | ||||
\(898\) | 48913.2 | 1.81766 | ||||||||
\(899\) | −1000.57 | + | 3407.61i | −0.0371198 | + | 0.126419i | ||||
\(900\) | 16882.6 | − | 57765.9i | 0.625280 | − | 2.13948i | ||||
\(901\) | −8484.12 | − | 5452.41i | −0.313704 | − | 0.201605i | ||||
\(902\) | 2931.42 | − | 20388.5i | 0.108210 | − | 0.752618i | ||||
\(903\) | 36307.0 | − | 36352.8i | 1.33801 | − | 1.33970i | ||||
\(904\) | −17892.0 | + | 8171.00i | −0.658273 | + | 0.300623i | ||||
\(905\) | −7615.19 | + | 6598.60i | −0.279710 | + | 0.242370i | ||||
\(906\) | 4292.18 | − | 1603.98i | 0.157393 | − | 0.0588176i | ||||
\(907\) | −3248.18 | − | 1483.39i | −0.118913 | − | 0.0543057i | 0.355070 | − | 0.934840i | \(-0.384457\pi\) |
−0.473983 | + | 0.880534i | \(0.657184\pi\) | |||||||
\(908\) | 64331.8 | − | 18889.5i | 2.35124 | − | 0.690387i | ||||
\(909\) | −19844.5 | − | 22843.5i | −0.724092 | − | 0.833523i | ||||
\(910\) | 1555.56 | − | 3406.21i | 0.0566664 | − | 0.124082i | ||||
\(911\) | 3556.65 | + | 24737.0i | 0.129349 | + | 0.899643i | 0.946382 | + | 0.323051i | \(0.104709\pi\) |
−0.817032 | + | 0.576592i | \(0.804382\pi\) | |||||||
\(912\) | −14770.3 | + | 19756.7i | −0.536285 | + | 0.717335i | ||||
\(913\) | −9329.15 | − | 20428.0i | −0.338171 | − | 0.740490i | ||||
\(914\) | −29685.4 | + | 19077.6i | −1.07429 | + | 0.690407i | ||||
\(915\) | 4374.47 | − | 315.639i | 0.158050 | − | 0.0114040i | ||||
\(916\) | −28097.3 | + | 43720.2i | −1.01349 | + | 1.57703i | ||||
\(917\) | −20872.0 | + | 24087.5i | −0.751639 | + | 0.867437i | ||||
\(918\) | −13262.7 | − | 35354.4i | −0.476835 | − | 1.27110i | ||||
\(919\) | 15182.1i | 0.544951i | 0.962163 | + | 0.272475i | \(0.0878423\pi\) | ||||
−0.962163 | + | 0.272475i | \(0.912158\pi\) | |||||||
\(920\) | −6716.91 | + | 19524.1i | −0.240706 | + | 0.699664i | ||||
\(921\) | 11486.5 | − | 2506.32i | 0.410959 | − | 0.0896699i | ||||
\(922\) | 12057.1 | + | 3540.29i | 0.430673 | + | 0.126457i | ||||
\(923\) | −238.776 | − | 206.901i | −0.00851507 | − | 0.00737835i | ||||
\(924\) | −13157.6 | + | 35344.8i | −0.468455 | + | 1.25840i | ||||
\(925\) | 46057.9 | + | 6622.13i | 1.63716 | + | 0.235388i | ||||
\(926\) | −16548.7 | − | 25750.2i | −0.587282 | − | 0.913828i | ||||
\(927\) | −19397.7 | + | 22443.3i | −0.687277 | + | 0.795182i | ||||
\(928\) | −9604.36 | − | 11084.0i | −0.339740 | − | 0.392081i | ||||
\(929\) | −50039.0 | + | 7194.52i | −1.76720 | + | 0.254085i | −0.947737 | − | 0.319052i | \(-0.896636\pi\) |
−0.819460 | + | 0.573137i | \(0.805726\pi\) | |||||||
\(930\) | 24317.7 | + | 5273.96i | 0.857430 | + | 0.185957i | ||||
\(931\) | 14777.9 | + | 50329.0i | 0.520222 | + | 1.77171i | ||||
\(932\) | −5852.84 | − | 19932.9i | −0.205704 | − | 0.700563i | ||||
\(933\) | 9793.54 | + | 2123.99i | 0.343651 | + | 0.0745299i | ||||
\(934\) | −33538.1 | + | 4822.05i | −1.17495 | + | 0.168932i | ||||
\(935\) | 19020.2 | + | 21950.5i | 0.665269 | + | 0.767762i | ||||
\(936\) | 304.346 | − | 352.129i | 0.0106280 | − | 0.0122967i | ||||
\(937\) | −17459.7 | − | 27167.8i | −0.608733 | − | 0.947207i | −0.999641 | − | 0.0267775i | \(-0.991475\pi\) |
0.390908 | − | 0.920430i | \(-0.372161\pi\) | |||||||
\(938\) | 112628. | + | 16193.4i | 3.92049 | + | 0.563682i | ||||
\(939\) | 9401.25 | − | 25254.3i | 0.326729 | − | 0.877682i | ||||
\(940\) | −33308.8 | − | 28862.2i | −1.15576 | − | 1.00147i | ||||
\(941\) | 29943.6 | + | 8792.24i | 1.03734 | + | 0.304590i | 0.755691 | − | 0.654929i | \(-0.227301\pi\) |
0.281646 | + | 0.959518i | \(0.409119\pi\) | |||||||
\(942\) | −994.284 | + | 216.949i | −0.0343902 | + | 0.00750382i | ||||
\(943\) | 10601.0 | + | 18283.1i | 0.366081 | + | 0.631369i | ||||
\(944\) | 5852.16i | 0.201771i | ||||||||
\(945\) | 25355.4 | + | 67590.1i | 0.872817 | + | 2.32667i | ||||
\(946\) | −24944.4 | + | 28787.4i | −0.857307 | + | 0.989385i | ||||
\(947\) | −16158.9 | + | 25143.8i | −0.554482 | + | 0.862791i | −0.999464 | − | 0.0327487i | \(-0.989574\pi\) |
0.444981 | + | 0.895540i | \(0.353210\pi\) | |||||||
\(948\) | −59572.4 | + | 4298.43i | −2.04095 | + | 0.147264i | ||||
\(949\) | −1279.44 | + | 822.244i | −0.0437642 | + | 0.0281256i | ||||
\(950\) | 46069.4 | + | 100878.i | 1.57336 | + | 3.44517i | ||||
\(951\) | 23671.4 | − | 31662.9i | 0.807149 | − | 1.07964i | ||||
\(952\) | −2531.95 | − | 17610.1i | −0.0861986 | − | 0.599525i | ||||
\(953\) | −7952.51 | + | 17413.6i | −0.270312 | + | 0.591900i | −0.995298 | − | 0.0968636i | \(-0.969119\pi\) |
0.724986 | + | 0.688764i | \(0.241846\pi\) | |||||||
\(954\) | 12187.4 | + | 14029.3i | 0.413609 | + | 0.476117i | ||||
\(955\) | 66453.2 | − | 19512.4i | 2.25170 | − | 0.661160i | ||||
\(956\) | −57281.8 | − | 26159.7i | −1.93789 | − | 0.885007i | ||||
\(957\) | 7155.47 | − | 2673.99i | 0.241696 | − | 0.0903216i | ||||
\(958\) | −11215.9 | + | 9718.66i | −0.378257 | + | 0.327762i | ||||
\(959\) | 20140.8 | − | 9197.98i | 0.678185 | − | 0.309717i | ||||
\(960\) | −51253.1 | + | 51317.7i | −1.72311 | + | 1.72528i | ||||
\(961\) | 3717.10 | − | 25853.0i | 0.124772 | − | 0.867812i | ||||
\(962\) | 1325.17 | + | 851.632i | 0.0444127 | + | 0.0285423i | ||||
\(963\) | 4675.25 | − | 15997.0i | 0.156446 | − | 0.535302i | ||||
\(964\) | 6660.83 | − | 22684.7i | 0.222542 | − | 0.757910i | ||||
\(965\) | −50225.6 | −1.67546 | ||||||||
\(966\) | −21035.1 | − | 65244.9i | −0.700615 | − | 2.17311i | ||||
\(967\) | 38443.1 | 1.27843 | 0.639217 | − | 0.769026i | \(-0.279259\pi\) | ||||
0.639217 | + | 0.769026i | \(0.279259\pi\) | |||||||
\(968\) | −2007.24 | + | 6836.02i | −0.0666478 | + | 0.226981i | ||||
\(969\) | 34484.8 | + | 18801.9i | 1.14325 | + | 0.623327i | ||||
\(970\) | 33879.3 | + | 21772.9i | 1.12144 | + | 0.720707i | ||||
\(971\) | 5713.46 | − | 39738.0i | 0.188830 | − | 1.31334i | −0.646214 | − | 0.763156i | \(-0.723649\pi\) |
0.835044 | − | 0.550184i | \(-0.185442\pi\) | |||||||
\(972\) | 2925.35 | + | 39167.5i | 0.0965337 | + | 1.29249i | ||||
\(973\) | −9641.37 | + | 4403.07i | −0.317665 | + | 0.145073i | ||||
\(974\) | −18002.7 | + | 15599.5i | −0.592243 | + | 0.513181i | ||||
\(975\) | 663.952 | + | 1776.70i | 0.0218087 | + | 0.0583590i | ||||
\(976\) | −1642.29 | − | 750.008i | −0.0538610 | − | 0.0245975i | ||||
\(977\) | 1798.85 | − | 528.190i | 0.0589051 | − | 0.0172961i | −0.252147 | − | 0.967689i | \(-0.581137\pi\) |
0.311052 | + | 0.950393i | \(0.399319\pi\) | |||||||
\(978\) | −14839.0 | − | 27134.9i | −0.485172 | − | 0.887197i | ||||
\(979\) | 6780.60 | − | 14847.4i | 0.221357 | − | 0.484705i | ||||
\(980\) | 11856.6 | + | 82464.8i | 0.386476 | + | 2.68800i | ||||
\(981\) | −4729.11 | + | 10389.9i | −0.153913 | + | 0.338150i | ||||
\(982\) | −37118.5 | − | 81278.2i | −1.20621 | − | 2.64123i | ||||
\(983\) | 18662.7 | − | 11993.8i | 0.605543 | − | 0.389159i | −0.201640 | − | 0.979460i | \(-0.564627\pi\) |
0.807183 | + | 0.590301i | \(0.200991\pi\) | |||||||
\(984\) | −727.379 | − | 10080.8i | −0.0235651 | − | 0.326591i | ||||
\(985\) | −30838.2 | + | 47985.2i | −0.997551 | + | 1.55222i | ||||
\(986\) | −10329.6 | + | 11921.0i | −0.333634 | + | 0.385034i | ||||
\(987\) | 33345.4 | + | 2363.79i | 1.07537 | + | 0.0762314i | ||||
\(988\) | 2119.20i | 0.0682397i | ||||||||
\(989\) | 1787.34 | − | 39041.6i | 0.0574661 | − | 1.25526i | ||||
\(990\) | −22294.5 | − | 48655.8i | −0.715722 | − | 1.56200i | ||||
\(991\) | −59107.3 | − | 17355.5i | −1.89466 | − | 0.556322i | −0.992048 | − | 0.125863i | \(-0.959830\pi\) |
−0.902610 | − | 0.430458i | \(-0.858352\pi\) | |||||||
\(992\) | −11460.7 | − | 9930.76i | −0.366812 | − | 0.317845i | ||||
\(993\) | 40529.4 | + | 15087.6i | 1.29523 | + | 0.482165i | ||||
\(994\) | 22028.2 | + | 3167.17i | 0.702908 | + | 0.101063i | ||||
\(995\) | 4438.46 | + | 6906.39i | 0.141416 | + | 0.220047i | ||||
\(996\) | −28931.1 | − | 38596.7i | −0.920398 | − | 1.22789i | ||||
\(997\) | 16290.3 | + | 18800.0i | 0.517471 | + | 0.597194i | 0.952996 | − | 0.302983i | \(-0.0979825\pi\) |
−0.435525 | + | 0.900177i | \(0.643437\pi\) | |||||||
\(998\) | −52534.9 | + | 7553.38i | −1.66630 | + | 0.239577i | ||||
\(999\) | −29661.4 | + | 6511.19i | −0.939386 | + | 0.206211i |
(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.g.a.5.3 | ✓ | 220 | |
3.2 | odd | 2 | inner | 69.4.g.a.5.20 | yes | 220 | |
23.14 | odd | 22 | inner | 69.4.g.a.14.20 | yes | 220 | |
69.14 | even | 22 | inner | 69.4.g.a.14.3 | yes | 220 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.g.a.5.3 | ✓ | 220 | 1.1 | even | 1 | trivial | |
69.4.g.a.5.20 | yes | 220 | 3.2 | odd | 2 | inner | |
69.4.g.a.14.3 | yes | 220 | 69.14 | even | 22 | inner | |
69.4.g.a.14.20 | yes | 220 | 23.14 | odd | 22 | inner |