Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,2,Mod(31,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.g (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: | \(1.83655924649\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 101.3 | ||
Character | \(\chi\) | \(=\) | 230.101 |
Dual form | 230.2.g.d.41.3 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.959493 | + | 0.281733i | −0.678464 | + | 0.199215i | ||||
\(3\) | 2.00799 | + | 2.31734i | 1.15931 | + | 1.33792i | 0.931297 | + | 0.364262i | \(0.118679\pi\) |
0.228017 | + | 0.973657i | \(0.426776\pi\) | |||||||
\(4\) | 0.841254 | − | 0.540641i | 0.420627 | − | 0.270320i | ||||
\(5\) | 0.142315 | + | 0.989821i | 0.0636451 | + | 0.442662i | ||||
\(6\) | −2.57952 | − | 1.65776i | −1.05309 | − | 0.676777i | ||||
\(7\) | 0.414762 | − | 0.908202i | 0.156765 | − | 0.343268i | −0.814910 | − | 0.579587i | \(-0.803214\pi\) |
0.971675 | + | 0.236319i | \(0.0759411\pi\) | |||||||
\(8\) | −0.654861 | + | 0.755750i | −0.231528 | + | 0.267198i | ||||
\(9\) | −0.911115 | + | 6.33694i | −0.303705 | + | 2.11231i | ||||
\(10\) | −0.415415 | − | 0.909632i | −0.131366 | − | 0.287651i | ||||
\(11\) | 4.67469 | + | 1.37261i | 1.40947 | + | 0.413859i | 0.895926 | − | 0.444203i | \(-0.146513\pi\) |
0.513547 | + | 0.858061i | \(0.328331\pi\) | |||||||
\(12\) | 2.94208 | + | 0.863872i | 0.849305 | + | 0.249378i | ||||
\(13\) | −2.42639 | − | 5.31304i | −0.672958 | − | 1.47357i | −0.869936 | − | 0.493165i | \(-0.835840\pi\) |
0.196977 | − | 0.980408i | \(-0.436888\pi\) | |||||||
\(14\) | −0.142091 | + | 0.988265i | −0.0379754 | + | 0.264125i | ||||
\(15\) | −2.00799 | + | 2.31734i | −0.518461 | + | 0.598336i | ||||
\(16\) | 0.415415 | − | 0.909632i | 0.103854 | − | 0.227408i | ||||
\(17\) | −3.46855 | − | 2.22910i | −0.841246 | − | 0.540636i | 0.0475868 | − | 0.998867i | \(-0.484847\pi\) |
−0.888833 | + | 0.458231i | \(0.848483\pi\) | |||||||
\(18\) | −0.911115 | − | 6.33694i | −0.214752 | − | 1.49363i | ||||
\(19\) | −5.79427 | + | 3.72375i | −1.32930 | + | 0.854287i | −0.996071 | − | 0.0885599i | \(-0.971774\pi\) |
−0.333226 | + | 0.942847i | \(0.608137\pi\) | |||||||
\(20\) | 0.654861 | + | 0.755750i | 0.146431 | + | 0.168991i | ||||
\(21\) | 2.93745 | − | 0.862514i | 0.641005 | − | 0.188216i | ||||
\(22\) | −4.87205 | −1.03872 | ||||||||
\(23\) | 4.02440 | − | 2.60849i | 0.839145 | − | 0.543907i | ||||
\(24\) | −3.06629 | −0.625903 | ||||||||
\(25\) | −0.959493 | + | 0.281733i | −0.191899 | + | 0.0563465i | ||||
\(26\) | 3.82496 | + | 4.41424i | 0.750136 | + | 0.865703i | ||||
\(27\) | −8.77581 | + | 5.63987i | −1.68891 | + | 1.08539i | ||||
\(28\) | −0.142091 | − | 0.988265i | −0.0268527 | − | 0.186765i | ||||
\(29\) | 3.04872 | + | 1.95929i | 0.566133 | + | 0.363832i | 0.792183 | − | 0.610284i | \(-0.208945\pi\) |
−0.226050 | + | 0.974116i | \(0.572581\pi\) | |||||||
\(30\) | 1.27378 | − | 2.78919i | 0.232560 | − | 0.509234i | ||||
\(31\) | 1.09711 | − | 1.26614i | 0.197047 | − | 0.227405i | −0.648624 | − | 0.761109i | \(-0.724655\pi\) |
0.845671 | + | 0.533704i | \(0.179201\pi\) | |||||||
\(32\) | −0.142315 | + | 0.989821i | −0.0251579 | + | 0.174977i | ||||
\(33\) | 6.20592 | + | 13.5891i | 1.08031 | + | 2.36555i | ||||
\(34\) | 3.95606 | + | 1.16160i | 0.678458 | + | 0.199213i | ||||
\(35\) | 0.957984 | + | 0.281290i | 0.161929 | + | 0.0475466i | ||||
\(36\) | 2.65953 | + | 5.82356i | 0.443255 | + | 0.970593i | ||||
\(37\) | −0.00888332 | + | 0.0617849i | −0.00146041 | + | 0.0101574i | −0.990539 | − | 0.137234i | \(-0.956179\pi\) |
0.989078 | + | 0.147392i | \(0.0470878\pi\) | |||||||
\(38\) | 4.51046 | − | 5.20535i | 0.731693 | − | 0.844419i | ||||
\(39\) | 7.43999 | − | 16.2913i | 1.19135 | − | 2.60870i | ||||
\(40\) | −0.841254 | − | 0.540641i | −0.133014 | − | 0.0854828i | ||||
\(41\) | −0.409905 | − | 2.85095i | −0.0640165 | − | 0.445244i | −0.996470 | − | 0.0839535i | \(-0.973245\pi\) |
0.932453 | − | 0.361291i | \(-0.117664\pi\) | |||||||
\(42\) | −2.57547 | + | 1.65515i | −0.397403 | + | 0.255395i | ||||
\(43\) | −5.13385 | − | 5.92477i | −0.782904 | − | 0.903520i | 0.214411 | − | 0.976743i | \(-0.431217\pi\) |
−0.997316 | + | 0.0732239i | \(0.976671\pi\) | |||||||
\(44\) | 4.67469 | − | 1.37261i | 0.704737 | − | 0.206929i | ||||
\(45\) | −6.40210 | −0.954369 | ||||||||
\(46\) | −3.12649 | + | 3.63663i | −0.460975 | + | 0.536192i | ||||
\(47\) | 5.30601 | 0.773962 | 0.386981 | − | 0.922088i | \(-0.373518\pi\) | ||||
0.386981 | + | 0.922088i | \(0.373518\pi\) | |||||||
\(48\) | 2.94208 | − | 0.863872i | 0.424653 | − | 0.124689i | ||||
\(49\) | 3.93122 | + | 4.53687i | 0.561603 | + | 0.648125i | ||||
\(50\) | 0.841254 | − | 0.540641i | 0.118971 | − | 0.0764582i | ||||
\(51\) | −1.79922 | − | 12.5138i | −0.251941 | − | 1.75229i | ||||
\(52\) | −4.91365 | − | 3.15781i | −0.681401 | − | 0.437910i | ||||
\(53\) | −1.43283 | + | 3.13746i | −0.196814 | + | 0.430963i | −0.982148 | − | 0.188110i | \(-0.939764\pi\) |
0.785334 | + | 0.619072i | \(0.212491\pi\) | |||||||
\(54\) | 6.83139 | − | 7.88385i | 0.929635 | − | 1.07286i | ||||
\(55\) | −0.693364 | + | 4.82246i | −0.0934932 | + | 0.650260i | ||||
\(56\) | 0.414762 | + | 0.908202i | 0.0554249 | + | 0.121364i | ||||
\(57\) | −20.2640 | − | 5.95006i | −2.68404 | − | 0.788105i | ||||
\(58\) | −3.47722 | − | 1.02100i | −0.456582 | − | 0.134064i | ||||
\(59\) | −4.84544 | − | 10.6100i | −0.630823 | − | 1.38131i | −0.907380 | − | 0.420312i | \(-0.861921\pi\) |
0.276557 | − | 0.960998i | \(-0.410807\pi\) | |||||||
\(60\) | −0.436378 | + | 3.03507i | −0.0563361 | + | 0.391826i | ||||
\(61\) | −0.283578 | + | 0.327266i | −0.0363084 | + | 0.0419021i | −0.773613 | − | 0.633658i | \(-0.781553\pi\) |
0.737305 | + | 0.675560i | \(0.236098\pi\) | |||||||
\(62\) | −0.695961 | + | 1.52394i | −0.0883871 | + | 0.193541i | ||||
\(63\) | 5.37732 | + | 3.45580i | 0.677479 | + | 0.435389i | ||||
\(64\) | −0.142315 | − | 0.989821i | −0.0177894 | − | 0.123728i | ||||
\(65\) | 4.91365 | − | 3.15781i | 0.609464 | − | 0.391679i | ||||
\(66\) | −9.78302 | − | 11.2902i | −1.20421 | − | 1.38973i | ||||
\(67\) | 4.86653 | − | 1.42894i | 0.594542 | − | 0.174573i | 0.0294009 | − | 0.999568i | \(-0.490640\pi\) |
0.565141 | + | 0.824995i | \(0.308822\pi\) | |||||||
\(68\) | −4.12307 | −0.499996 | ||||||||
\(69\) | 14.1257 | + | 4.08810i | 1.70054 | + | 0.492150i | ||||
\(70\) | −0.998427 | −0.119335 | ||||||||
\(71\) | 7.68672 | − | 2.25702i | 0.912245 | − | 0.267859i | 0.208260 | − | 0.978074i | \(-0.433220\pi\) |
0.703986 | + | 0.710214i | \(0.251402\pi\) | |||||||
\(72\) | −4.19249 | − | 4.83839i | −0.494089 | − | 0.570209i | ||||
\(73\) | 9.16147 | − | 5.88772i | 1.07227 | − | 0.689106i | 0.119510 | − | 0.992833i | \(-0.461868\pi\) |
0.952759 | + | 0.303727i | \(0.0982312\pi\) | |||||||
\(74\) | −0.00888332 | − | 0.0617849i | −0.00103267 | − | 0.00718234i | ||||
\(75\) | −2.57952 | − | 1.65776i | −0.297858 | − | 0.191422i | ||||
\(76\) | −2.86124 | + | 6.26524i | −0.328207 | + | 0.718672i | ||||
\(77\) | 3.18549 | − | 3.67626i | 0.363021 | − | 0.418948i | ||||
\(78\) | −2.54883 | + | 17.7275i | −0.288598 | + | 2.00724i | ||||
\(79\) | −6.44266 | − | 14.1075i | −0.724856 | − | 1.58721i | −0.806971 | − | 0.590591i | \(-0.798895\pi\) |
0.0821146 | − | 0.996623i | \(-0.473833\pi\) | |||||||
\(80\) | 0.959493 | + | 0.281733i | 0.107275 | + | 0.0314987i | ||||
\(81\) | −12.2629 | − | 3.60072i | −1.36255 | − | 0.400080i | ||||
\(82\) | 1.19651 | + | 2.61999i | 0.132132 | + | 0.289329i | ||||
\(83\) | −0.929434 | + | 6.46436i | −0.102019 | + | 0.709555i | 0.873047 | + | 0.487637i | \(0.162141\pi\) |
−0.975065 | + | 0.221919i | \(0.928768\pi\) | |||||||
\(84\) | 2.00483 | − | 2.31370i | 0.218745 | − | 0.252445i | ||||
\(85\) | 1.71279 | − | 3.75048i | 0.185778 | − | 0.406796i | ||||
\(86\) | 6.59509 | + | 4.23841i | 0.711167 | + | 0.457039i | ||||
\(87\) | 1.58144 | + | 10.9992i | 0.169548 | + | 1.17924i | ||||
\(88\) | −4.09863 | + | 2.63403i | −0.436915 | + | 0.280788i | ||||
\(89\) | 4.28672 | + | 4.94714i | 0.454392 | + | 0.524396i | 0.936004 | − | 0.351988i | \(-0.114494\pi\) |
−0.481613 | + | 0.876384i | \(0.659949\pi\) | |||||||
\(90\) | 6.14277 | − | 1.80368i | 0.647505 | − | 0.190125i | ||||
\(91\) | −5.83169 | −0.611327 | ||||||||
\(92\) | 1.97529 | − | 4.37015i | 0.205938 | − | 0.455620i | ||||
\(93\) | 5.13707 | 0.532689 | ||||||||
\(94\) | −5.09108 | + | 1.49488i | −0.525105 | + | 0.154185i | ||||
\(95\) | −4.51046 | − | 5.20535i | −0.462763 | − | 0.534057i | ||||
\(96\) | −2.57952 | + | 1.65776i | −0.263271 | + | 0.169194i | ||||
\(97\) | 0.140212 | + | 0.975199i | 0.0142364 | + | 0.0990165i | 0.995701 | − | 0.0926285i | \(-0.0295269\pi\) |
−0.981464 | + | 0.191645i | \(0.938618\pi\) | |||||||
\(98\) | −5.05016 | − | 3.24554i | −0.510144 | − | 0.327849i | ||||
\(99\) | −12.9574 | + | 28.3726i | −1.30226 | + | 2.85156i | ||||
\(100\) | −0.654861 | + | 0.755750i | −0.0654861 | + | 0.0755750i | ||||
\(101\) | −2.47221 | + | 17.1946i | −0.245994 | + | 1.71093i | 0.374926 | + | 0.927055i | \(0.377668\pi\) |
−0.620921 | + | 0.783874i | \(0.713241\pi\) | |||||||
\(102\) | 5.25189 | + | 11.5000i | 0.520015 | + | 1.13867i | ||||
\(103\) | −8.20525 | − | 2.40928i | −0.808487 | − | 0.237393i | −0.148736 | − | 0.988877i | \(-0.547520\pi\) |
−0.659752 | + | 0.751484i | \(0.729339\pi\) | |||||||
\(104\) | 5.60428 | + | 1.64556i | 0.549545 | + | 0.161361i | ||||
\(105\) | 1.27178 | + | 2.78480i | 0.124113 | + | 0.271769i | ||||
\(106\) | 0.490865 | − | 3.41404i | 0.0476770 | − | 0.331601i | ||||
\(107\) | −4.86662 | + | 5.61638i | −0.470474 | + | 0.542956i | −0.940543 | − | 0.339674i | \(-0.889683\pi\) |
0.470070 | + | 0.882629i | \(0.344229\pi\) | |||||||
\(108\) | −4.33354 | + | 9.48912i | −0.416995 | + | 0.913091i | ||||
\(109\) | −2.82426 | − | 1.81504i | −0.270515 | − | 0.173849i | 0.398350 | − | 0.917234i | \(-0.369583\pi\) |
−0.668865 | + | 0.743384i | \(0.733219\pi\) | |||||||
\(110\) | −0.693364 | − | 4.82246i | −0.0661097 | − | 0.459803i | ||||
\(111\) | −0.161014 | + | 0.103478i | −0.0152828 | + | 0.00982166i | ||||
\(112\) | −0.653831 | − | 0.754561i | −0.0617812 | − | 0.0712993i | ||||
\(113\) | −9.49161 | + | 2.78699i | −0.892896 | + | 0.262178i | −0.695825 | − | 0.718211i | \(-0.744961\pi\) |
−0.197071 | + | 0.980389i | \(0.563143\pi\) | |||||||
\(114\) | 21.1195 | 1.97803 | ||||||||
\(115\) | 3.15467 | + | 3.61221i | 0.294174 | + | 0.336840i | ||||
\(116\) | 3.62402 | 0.336482 | ||||||||
\(117\) | 35.8792 | − | 10.5351i | 3.31703 | − | 0.973968i | ||||
\(118\) | 7.63836 | + | 8.81514i | 0.703168 | + | 0.811499i | ||||
\(119\) | −3.46309 | + | 2.22560i | −0.317461 | + | 0.204020i | ||||
\(120\) | −0.436378 | − | 3.03507i | −0.0398357 | − | 0.277063i | ||||
\(121\) | 10.7149 | + | 6.88605i | 0.974082 | + | 0.626005i | ||||
\(122\) | 0.179889 | − | 0.393903i | 0.0162864 | − | 0.0356623i | ||||
\(123\) | 5.78355 | − | 6.67458i | 0.521486 | − | 0.601826i | ||||
\(124\) | 0.238426 | − | 1.65829i | 0.0214112 | − | 0.148918i | ||||
\(125\) | −0.415415 | − | 0.909632i | −0.0371558 | − | 0.0813600i | ||||
\(126\) | −6.13311 | − | 1.80084i | −0.546381 | − | 0.160432i | ||||
\(127\) | −9.48208 | − | 2.78419i | −0.841399 | − | 0.247057i | −0.167492 | − | 0.985873i | \(-0.553567\pi\) |
−0.673907 | + | 0.738816i | \(0.735385\pi\) | |||||||
\(128\) | 0.415415 | + | 0.909632i | 0.0367178 | + | 0.0804009i | ||||
\(129\) | 3.42103 | − | 23.7938i | 0.301205 | − | 2.09492i | ||||
\(130\) | −3.82496 | + | 4.41424i | −0.335471 | + | 0.387154i | ||||
\(131\) | −8.27531 | + | 18.1204i | −0.723017 | + | 1.58319i | 0.0866094 | + | 0.996242i | \(0.472397\pi\) |
−0.809627 | + | 0.586945i | \(0.800330\pi\) | |||||||
\(132\) | 12.5676 | + | 8.07668i | 1.09387 | + | 0.702985i | ||||
\(133\) | 0.978675 | + | 6.80683i | 0.0848619 | + | 0.590227i | ||||
\(134\) | −4.26682 | + | 2.74212i | −0.368597 | + | 0.236883i | ||||
\(135\) | −6.83139 | − | 7.88385i | −0.587953 | − | 0.678533i | ||||
\(136\) | 3.95606 | − | 1.16160i | 0.339229 | − | 0.0996067i | ||||
\(137\) | −0.287466 | −0.0245598 | −0.0122799 | − | 0.999925i | \(-0.503909\pi\) | ||||
−0.0122799 | + | 0.999925i | \(0.503909\pi\) | |||||||
\(138\) | −14.7053 | + | 0.0571696i | −1.25180 | + | 0.00486660i | ||||
\(139\) | −2.34636 | −0.199015 | −0.0995077 | − | 0.995037i | \(-0.531727\pi\) | ||||
−0.0995077 | + | 0.995037i | \(0.531727\pi\) | |||||||
\(140\) | 0.957984 | − | 0.281290i | 0.0809644 | − | 0.0237733i | ||||
\(141\) | 10.6544 | + | 12.2959i | 0.897264 | + | 1.03550i | ||||
\(142\) | −6.73947 | + | 4.33120i | −0.565564 | + | 0.363466i | ||||
\(143\) | −4.04985 | − | 28.1673i | −0.338666 | − | 2.35547i | ||||
\(144\) | 5.38579 | + | 3.46124i | 0.448816 | + | 0.288437i | ||||
\(145\) | −1.50547 | + | 3.29652i | −0.125023 | + | 0.273761i | ||||
\(146\) | −7.13161 | + | 8.23031i | −0.590216 | + | 0.681146i | ||||
\(147\) | −2.61964 | + | 18.2200i | −0.216064 | + | 1.50276i | ||||
\(148\) | 0.0259303 | + | 0.0567794i | 0.00213146 | + | 0.00466724i | ||||
\(149\) | 4.51190 | + | 1.32481i | 0.369630 | + | 0.108533i | 0.461272 | − | 0.887259i | \(-0.347393\pi\) |
−0.0916420 | + | 0.995792i | \(0.529212\pi\) | |||||||
\(150\) | 2.94208 | + | 0.863872i | 0.240220 | + | 0.0705349i | ||||
\(151\) | 5.20666 | + | 11.4010i | 0.423712 | + | 0.927799i | 0.994306 | + | 0.106567i | \(0.0339859\pi\) |
−0.570594 | + | 0.821232i | \(0.693287\pi\) | |||||||
\(152\) | 0.980217 | − | 6.81756i | 0.0795061 | − | 0.552977i | ||||
\(153\) | 17.2859 | − | 19.9490i | 1.39748 | − | 1.61278i | ||||
\(154\) | −2.02074 | + | 4.42480i | −0.162836 | + | 0.356561i | ||||
\(155\) | 1.40938 | + | 0.905756i | 0.113204 | + | 0.0727521i | ||||
\(156\) | −2.54883 | − | 17.7275i | −0.204070 | − | 1.41933i | ||||
\(157\) | −12.1722 | + | 7.82257i | −0.971444 | + | 0.624309i | −0.927143 | − | 0.374709i | \(-0.877743\pi\) |
−0.0443019 | + | 0.999018i | \(0.514106\pi\) | |||||||
\(158\) | 10.1562 | + | 11.7209i | 0.807986 | + | 0.932465i | ||||
\(159\) | −10.1477 | + | 2.97962i | −0.804762 | + | 0.236300i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | −0.699865 | − | 4.73687i | −0.0551571 | − | 0.373317i | ||||
\(162\) | 12.7806 | 1.00414 | ||||||||
\(163\) | 1.82656 | − | 0.536326i | 0.143067 | − | 0.0420083i | −0.209415 | − | 0.977827i | \(-0.567156\pi\) |
0.352482 | + | 0.935819i | \(0.385338\pi\) | |||||||
\(164\) | −1.88618 | − | 2.17676i | −0.147286 | − | 0.169977i | ||||
\(165\) | −12.5676 | + | 8.07668i | −0.978383 | + | 0.628769i | ||||
\(166\) | −0.929434 | − | 6.46436i | −0.0721381 | − | 0.501731i | ||||
\(167\) | −11.0211 | − | 7.08284i | −0.852839 | − | 0.548086i | 0.0396200 | − | 0.999215i | \(-0.487385\pi\) |
−0.892459 | + | 0.451128i | \(0.851022\pi\) | |||||||
\(168\) | −1.27178 | + | 2.78480i | −0.0981198 | + | 0.214852i | ||||
\(169\) | −13.8279 | + | 15.9583i | −1.06368 | + | 1.22756i | ||||
\(170\) | −0.586774 | + | 4.08110i | −0.0450035 | + | 0.313006i | ||||
\(171\) | −18.3179 | − | 40.1107i | −1.40081 | − | 3.06734i | ||||
\(172\) | −7.52204 | − | 2.20867i | −0.573550 | − | 0.168410i | ||||
\(173\) | −2.63596 | − | 0.773988i | −0.200408 | − | 0.0588452i | 0.179988 | − | 0.983669i | \(-0.442394\pi\) |
−0.380396 | + | 0.924824i | \(0.624212\pi\) | |||||||
\(174\) | −4.61621 | − | 10.1081i | −0.349954 | − | 0.766292i | ||||
\(175\) | −0.142091 | + | 0.988265i | −0.0107411 | + | 0.0747058i | ||||
\(176\) | 3.19051 | − | 3.68205i | 0.240494 | − | 0.277545i | ||||
\(177\) | 14.8575 | − | 32.5334i | 1.11676 | − | 2.44536i | ||||
\(178\) | −5.50685 | − | 3.53904i | −0.412756 | − | 0.265262i | ||||
\(179\) | −0.666919 | − | 4.63852i | −0.0498479 | − | 0.346700i | −0.999448 | − | 0.0332345i | \(-0.989419\pi\) |
0.949600 | − | 0.313465i | \(-0.101490\pi\) | |||||||
\(180\) | −5.38579 | + | 3.46124i | −0.401433 | + | 0.257986i | ||||
\(181\) | −13.9843 | − | 16.1387i | −1.03944 | − | 1.19958i | −0.979513 | − | 0.201380i | \(-0.935457\pi\) |
−0.0599310 | − | 0.998203i | \(-0.519088\pi\) | |||||||
\(182\) | 5.59546 | − | 1.64298i | 0.414763 | − | 0.121786i | ||||
\(183\) | −1.32781 | −0.0981545 | ||||||||
\(184\) | −0.664058 | + | 4.74963i | −0.0489550 | + | 0.350148i | ||||
\(185\) | −0.0624202 | −0.00458923 | ||||||||
\(186\) | −4.92898 | + | 1.44728i | −0.361410 | + | 0.106120i | ||||
\(187\) | −13.1547 | − | 15.1813i | −0.961967 | − | 1.11017i | ||||
\(188\) | 4.46370 | − | 2.86865i | 0.325549 | − | 0.209218i | ||||
\(189\) | 1.48227 | + | 10.3094i | 0.107819 | + | 0.749899i | ||||
\(190\) | 5.79427 | + | 3.72375i | 0.420361 | + | 0.270149i | ||||
\(191\) | 3.83399 | − | 8.39527i | 0.277418 | − | 0.607461i | −0.718716 | − | 0.695303i | \(-0.755270\pi\) |
0.996134 | + | 0.0878428i | \(0.0279973\pi\) | |||||||
\(192\) | 2.00799 | − | 2.31734i | 0.144914 | − | 0.167240i | ||||
\(193\) | −1.20552 | + | 8.38457i | −0.0867752 | + | 0.603535i | 0.899312 | + | 0.437307i | \(0.144068\pi\) |
−0.986087 | + | 0.166228i | \(0.946841\pi\) | |||||||
\(194\) | −0.409278 | − | 0.896194i | −0.0293845 | − | 0.0643430i | ||||
\(195\) | 17.1843 | + | 5.04577i | 1.23059 | + | 0.361335i | ||||
\(196\) | 5.75997 | + | 1.69128i | 0.411427 | + | 0.120806i | ||||
\(197\) | 7.47240 | + | 16.3623i | 0.532387 | + | 1.16576i | 0.964533 | + | 0.263961i | \(0.0850289\pi\) |
−0.432147 | + | 0.901803i | \(0.642244\pi\) | |||||||
\(198\) | 4.43899 | − | 30.8739i | 0.315465 | − | 2.19411i | ||||
\(199\) | −0.539039 | + | 0.622084i | −0.0382115 | + | 0.0440984i | −0.774534 | − | 0.632533i | \(-0.782015\pi\) |
0.736322 | + | 0.676631i | \(0.236561\pi\) | |||||||
\(200\) | 0.415415 | − | 0.909632i | 0.0293743 | − | 0.0643207i | ||||
\(201\) | 13.0833 | + | 8.40813i | 0.922825 | + | 0.593064i | ||||
\(202\) | −2.47221 | − | 17.1946i | −0.173944 | − | 1.20981i | ||||
\(203\) | 3.04393 | − | 1.95621i | 0.213642 | − | 0.137299i | ||||
\(204\) | −8.27908 | − | 9.55457i | −0.579652 | − | 0.668954i | ||||
\(205\) | 2.76360 | − | 0.811466i | 0.193018 | − | 0.0566753i | ||||
\(206\) | 8.55165 | 0.595822 | ||||||||
\(207\) | 12.8631 | + | 27.8790i | 0.894050 | + | 1.93773i | ||||
\(208\) | −5.84087 | −0.404992 | ||||||||
\(209\) | −32.1977 | + | 9.45410i | −2.22716 | + | 0.653954i | ||||
\(210\) | −2.00483 | − | 2.31370i | −0.138347 | − | 0.159660i | ||||
\(211\) | 18.9517 | − | 12.1795i | 1.30469 | − | 0.838472i | 0.310974 | − | 0.950418i | \(-0.399345\pi\) |
0.993714 | + | 0.111946i | \(0.0357085\pi\) | |||||||
\(212\) | 0.490865 | + | 3.41404i | 0.0337127 | + | 0.234477i | ||||
\(213\) | 20.6651 | + | 13.2807i | 1.41595 | + | 0.909977i | ||||
\(214\) | 3.08717 | − | 6.75996i | 0.211035 | − | 0.462101i | ||||
\(215\) | 5.13385 | − | 5.92477i | 0.350125 | − | 0.404066i | ||||
\(216\) | 1.48460 | − | 10.3256i | 0.101014 | − | 0.702571i | ||||
\(217\) | −0.694866 | − | 1.52154i | −0.0471706 | − | 0.103289i | ||||
\(218\) | 3.22121 | + | 0.945834i | 0.218168 | + | 0.0640599i | ||||
\(219\) | 32.0400 | + | 9.40780i | 2.16506 | + | 0.635720i | ||||
\(220\) | 2.02392 | + | 4.43177i | 0.136453 | + | 0.298790i | ||||
\(221\) | −3.42727 | + | 23.8372i | −0.230543 | + | 1.60346i | ||||
\(222\) | 0.125339 | − | 0.144649i | 0.00841221 | − | 0.00970821i | ||||
\(223\) | −2.12126 | + | 4.64491i | −0.142050 | + | 0.311046i | −0.967263 | − | 0.253775i | \(-0.918328\pi\) |
0.825213 | + | 0.564821i | \(0.191055\pi\) | |||||||
\(224\) | 0.839931 | + | 0.539791i | 0.0561202 | + | 0.0360663i | ||||
\(225\) | −0.911115 | − | 6.33694i | −0.0607410 | − | 0.422463i | ||||
\(226\) | 8.32195 | − | 5.34819i | 0.553568 | − | 0.355756i | ||||
\(227\) | 10.3424 | + | 11.9357i | 0.686446 | + | 0.792201i | 0.986855 | − | 0.161609i | \(-0.0516685\pi\) |
−0.300409 | + | 0.953811i | \(0.597123\pi\) | |||||||
\(228\) | −20.2640 | + | 5.95006i | −1.34202 | + | 0.394052i | ||||
\(229\) | −15.2178 | −1.00562 | −0.502812 | − | 0.864396i | \(-0.667701\pi\) | ||||
−0.502812 | + | 0.864396i | \(0.667701\pi\) | |||||||
\(230\) | −4.04456 | − | 2.57712i | −0.266690 | − | 0.169930i | ||||
\(231\) | 14.9156 | 0.981374 | ||||||||
\(232\) | −3.47722 | + | 1.02100i | −0.228291 | + | 0.0670322i | ||||
\(233\) | −14.4956 | − | 16.7288i | −0.949637 | − | 1.09594i | −0.995286 | − | 0.0969820i | \(-0.969081\pi\) |
0.0456491 | − | 0.998958i | \(-0.485464\pi\) | |||||||
\(234\) | −31.4577 | + | 20.2167i | −2.05646 | + | 1.32160i | ||||
\(235\) | 0.755125 | + | 5.25201i | 0.0492589 | + | 0.342603i | ||||
\(236\) | −9.81246 | − | 6.30609i | −0.638737 | − | 0.410491i | ||||
\(237\) | 19.7550 | − | 43.2575i | 1.28323 | − | 2.80988i | ||||
\(238\) | 2.69579 | − | 3.11111i | 0.174742 | − | 0.201663i | ||||
\(239\) | −1.44054 | + | 10.0192i | −0.0931807 | + | 0.648086i | 0.888686 | + | 0.458515i | \(0.151619\pi\) |
−0.981867 | + | 0.189570i | \(0.939290\pi\) | |||||||
\(240\) | 1.27378 | + | 2.78919i | 0.0822222 | + | 0.180042i | ||||
\(241\) | 1.67628 | + | 0.492199i | 0.107978 | + | 0.0317053i | 0.335275 | − | 0.942120i | \(-0.391171\pi\) |
−0.227297 | + | 0.973825i | \(0.572989\pi\) | |||||||
\(242\) | −12.2209 | − | 3.58838i | −0.785589 | − | 0.230670i | ||||
\(243\) | −3.27912 | − | 7.18026i | −0.210355 | − | 0.460614i | ||||
\(244\) | −0.0616273 | + | 0.428628i | −0.00394529 | + | 0.0274401i | ||||
\(245\) | −3.93122 | + | 4.53687i | −0.251157 | + | 0.289850i | ||||
\(246\) | −3.66883 | + | 8.03363i | −0.233916 | + | 0.512205i | ||||
\(247\) | 33.8436 | + | 21.7500i | 2.15342 | + | 1.38392i | ||||
\(248\) | 0.238426 | + | 1.65829i | 0.0151400 | + | 0.105301i | ||||
\(249\) | −16.8464 | + | 10.8265i | −1.06760 | + | 0.686104i | ||||
\(250\) | 0.654861 | + | 0.755750i | 0.0414170 | + | 0.0477978i | ||||
\(251\) | −20.9149 | + | 6.14118i | −1.32014 | + | 0.387628i | −0.864543 | − | 0.502559i | \(-0.832392\pi\) |
−0.455596 | + | 0.890187i | \(0.650574\pi\) | |||||||
\(252\) | 6.39204 | 0.402660 | ||||||||
\(253\) | 22.3933 | − | 6.66993i | 1.40785 | − | 0.419335i | ||||
\(254\) | 9.88239 | 0.620076 | ||||||||
\(255\) | 12.1304 | − | 3.56181i | 0.759635 | − | 0.223049i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 3.11762 | − | 2.00358i | 0.194472 | − | 0.124980i | −0.439781 | − | 0.898105i | \(-0.644944\pi\) |
0.634253 | + | 0.773125i | \(0.281308\pi\) | |||||||
\(258\) | 3.42103 | + | 23.7938i | 0.212984 | + | 1.48134i | ||||
\(259\) | 0.0524286 | + | 0.0336938i | 0.00325776 | + | 0.00209363i | ||||
\(260\) | 2.42639 | − | 5.31304i | 0.150478 | − | 0.329501i | ||||
\(261\) | −15.1937 | + | 17.5344i | −0.940464 | + | 1.08535i | ||||
\(262\) | 2.83500 | − | 19.7178i | 0.175147 | − | 1.21817i | ||||
\(263\) | −4.24138 | − | 9.28732i | −0.261535 | − | 0.572681i | 0.732621 | − | 0.680637i | \(-0.238297\pi\) |
−0.994156 | + | 0.107956i | \(0.965569\pi\) | |||||||
\(264\) | −14.3339 | − | 4.20883i | −0.882193 | − | 0.259035i | ||||
\(265\) | −3.30943 | − | 0.971737i | −0.203297 | − | 0.0596933i | ||||
\(266\) | −2.85674 | − | 6.25539i | −0.175158 | − | 0.383542i | ||||
\(267\) | −2.85653 | + | 19.8676i | −0.174817 | + | 1.21588i | ||||
\(268\) | 3.32144 | − | 3.83315i | 0.202889 | − | 0.234147i | ||||
\(269\) | 3.40247 | − | 7.45036i | 0.207452 | − | 0.454257i | −0.777093 | − | 0.629385i | \(-0.783307\pi\) |
0.984546 | + | 0.175128i | \(0.0560341\pi\) | |||||||
\(270\) | 8.77581 | + | 5.63987i | 0.534079 | + | 0.343232i | ||||
\(271\) | −3.41525 | − | 23.7536i | −0.207462 | − | 1.44293i | −0.781401 | − | 0.624029i | \(-0.785495\pi\) |
0.573939 | − | 0.818898i | \(-0.305415\pi\) | |||||||
\(272\) | −3.46855 | + | 2.22910i | −0.210312 | + | 0.135159i | ||||
\(273\) | −11.7100 | − | 13.5140i | −0.708720 | − | 0.817906i | ||||
\(274\) | 0.275821 | − | 0.0809884i | 0.0166630 | − | 0.00489269i | ||||
\(275\) | −4.87205 | −0.293795 | ||||||||
\(276\) | 14.0935 | − | 4.19781i | 0.848329 | − | 0.252678i | ||||
\(277\) | 22.0368 | 1.32406 | 0.662032 | − | 0.749476i | \(-0.269694\pi\) | ||||
0.662032 | + | 0.749476i | \(0.269694\pi\) | |||||||
\(278\) | 2.25131 | − | 0.661045i | 0.135025 | − | 0.0396469i | ||||
\(279\) | 7.02383 | + | 8.10594i | 0.420506 | + | 0.485290i | ||||
\(280\) | −0.839931 | + | 0.539791i | −0.0501955 | + | 0.0322587i | ||||
\(281\) | 2.71428 | + | 18.8782i | 0.161920 | + | 1.12618i | 0.895009 | + | 0.446047i | \(0.147169\pi\) |
−0.733089 | + | 0.680133i | \(0.761922\pi\) | |||||||
\(282\) | −13.6870 | − | 8.79609i | −0.815048 | − | 0.523800i | ||||
\(283\) | −8.64786 | + | 18.9362i | −0.514062 | + | 1.12564i | 0.457577 | + | 0.889170i | \(0.348717\pi\) |
−0.971639 | + | 0.236469i | \(0.924010\pi\) | |||||||
\(284\) | 5.24624 | − | 6.05448i | 0.311307 | − | 0.359267i | ||||
\(285\) | 3.00562 | − | 20.9046i | 0.178038 | − | 1.23828i | ||||
\(286\) | 11.8215 | + | 25.8854i | 0.699018 | + | 1.53064i | ||||
\(287\) | −2.75925 | − | 0.810190i | −0.162874 | − | 0.0478240i | ||||
\(288\) | −6.14277 | − | 1.80368i | −0.361966 | − | 0.106283i | ||||
\(289\) | −0.000118735 | 0 | 0.000259993i | −6.98440e−6 | 0 | 1.52937e-5i | ||||
\(290\) | 0.515752 | − | 3.58713i | 0.0302860 | − | 0.210644i | ||||
\(291\) | −1.97833 | + | 2.28311i | −0.115972 | + | 0.133838i | ||||
\(292\) | 4.52398 | − | 9.90613i | 0.264746 | − | 0.579713i | ||||
\(293\) | −8.61054 | − | 5.53366i | −0.503033 | − | 0.323280i | 0.264395 | − | 0.964414i | \(-0.414828\pi\) |
−0.767428 | + | 0.641135i | \(0.778464\pi\) | |||||||
\(294\) | −2.61964 | − | 18.2200i | −0.152780 | − | 1.06261i | ||||
\(295\) | 9.81246 | − | 6.30609i | 0.571304 | − | 0.367155i | ||||
\(296\) | −0.0408765 | − | 0.0471740i | −0.00237590 | − | 0.00274194i | ||||
\(297\) | −48.7656 | + | 14.3189i | −2.82967 | + | 0.830865i | ||||
\(298\) | −4.70238 | −0.272402 | ||||||||
\(299\) | −23.6238 | − | 15.0526i | −1.36620 | − | 0.870515i | ||||
\(300\) | −3.06629 | −0.177032 | ||||||||
\(301\) | −7.51021 | + | 2.20520i | −0.432881 | + | 0.127105i | ||||
\(302\) | −8.20778 | − | 9.47229i | −0.472305 | − | 0.545069i | ||||
\(303\) | −44.8100 | + | 28.7976i | −2.57427 | + | 1.65438i | ||||
\(304\) | 0.980217 | + | 6.81756i | 0.0562193 | + | 0.391014i | ||||
\(305\) | −0.364292 | − | 0.234117i | −0.0208593 | − | 0.0134055i | ||||
\(306\) | −10.9654 | + | 24.0109i | −0.626852 | + | 1.37261i | ||||
\(307\) | 14.6204 | − | 16.8728i | 0.834428 | − | 0.962981i | −0.165301 | − | 0.986243i | \(-0.552860\pi\) |
0.999729 | + | 0.0232619i | \(0.00740515\pi\) | |||||||
\(308\) | 0.692274 | − | 4.81487i | 0.0394460 | − | 0.274353i | ||||
\(309\) | −10.8929 | − | 23.8522i | −0.619677 | − | 1.35690i | ||||
\(310\) | −1.60748 | − | 0.471997i | −0.0912985 | − | 0.0268077i | ||||
\(311\) | 21.3436 | + | 6.26704i | 1.21028 | + | 0.355371i | 0.823776 | − | 0.566915i | \(-0.191863\pi\) |
0.386507 | + | 0.922286i | \(0.373681\pi\) | |||||||
\(312\) | 7.43999 | + | 16.2913i | 0.421207 | + | 0.922314i | ||||
\(313\) | −2.79875 | + | 19.4657i | −0.158195 | + | 1.10027i | 0.743763 | + | 0.668443i | \(0.233039\pi\) |
−0.901958 | + | 0.431824i | \(0.857870\pi\) | |||||||
\(314\) | 9.47523 | − | 10.9350i | 0.534718 | − | 0.617098i | ||||
\(315\) | −2.65535 | + | 5.81440i | −0.149612 | + | 0.327604i | ||||
\(316\) | −13.0470 | − | 8.38479i | −0.733950 | − | 0.471681i | ||||
\(317\) | −1.23214 | − | 8.56970i | −0.0692037 | − | 0.481322i | −0.994721 | − | 0.102617i | \(-0.967278\pi\) |
0.925517 | − | 0.378705i | \(-0.123631\pi\) | |||||||
\(318\) | 8.89716 | − | 5.71786i | 0.498928 | − | 0.320641i | ||||
\(319\) | 11.5625 | + | 13.3438i | 0.647374 | + | 0.747110i | ||||
\(320\) | 0.959493 | − | 0.281733i | 0.0536373 | − | 0.0157493i | ||||
\(321\) | −22.7872 | −1.27186 | ||||||||
\(322\) | 2.00605 | + | 4.34782i | 0.111793 | + | 0.242294i | ||||
\(323\) | 28.3983 | 1.58012 | ||||||||
\(324\) | −12.2629 | + | 3.60072i | −0.681274 | + | 0.200040i | ||||
\(325\) | 3.82496 | + | 4.41424i | 0.212171 | + | 0.244858i | ||||
\(326\) | −1.60147 | + | 1.02920i | −0.0886973 | + | 0.0570023i | ||||
\(327\) | −1.46501 | − | 10.1894i | −0.0810152 | − | 0.563473i | ||||
\(328\) | 2.42304 | + | 1.55719i | 0.133790 | + | 0.0859815i | ||||
\(329\) | 2.20073 | − | 4.81893i | 0.121330 | − | 0.265676i | ||||
\(330\) | 9.78302 | − | 11.2902i | 0.538537 | − | 0.621505i | ||||
\(331\) | 2.74871 | − | 19.1177i | 0.151083 | − | 1.05081i | −0.763326 | − | 0.646014i | \(-0.776435\pi\) |
0.914409 | − | 0.404792i | \(-0.132656\pi\) | |||||||
\(332\) | 2.71301 | + | 5.94065i | 0.148896 | + | 0.326036i | ||||
\(333\) | −0.383433 | − | 0.112586i | −0.0210120 | − | 0.00616968i | ||||
\(334\) | 12.5701 | + | 3.69093i | 0.687808 | + | 0.201959i | ||||
\(335\) | 2.10698 | + | 4.61364i | 0.115117 | + | 0.252070i | ||||
\(336\) | 0.435692 | − | 3.03030i | 0.0237689 | − | 0.165317i | ||||
\(337\) | −5.38066 | + | 6.20962i | −0.293103 | + | 0.338259i | −0.883133 | − | 0.469122i | \(-0.844570\pi\) |
0.590030 | + | 0.807381i | \(0.299116\pi\) | |||||||
\(338\) | 8.77182 | − | 19.2076i | 0.477124 | − | 1.04476i | ||||
\(339\) | −25.5175 | − | 16.3991i | −1.38592 | − | 0.890676i | ||||
\(340\) | −0.586774 | − | 4.08110i | −0.0318223 | − | 0.221329i | ||||
\(341\) | 6.86659 | − | 4.41289i | 0.371846 | − | 0.238971i | ||||
\(342\) | 28.8764 | + | 33.3252i | 1.56146 | + | 1.80202i | ||||
\(343\) | 12.4568 | − | 3.65765i | 0.672604 | − | 0.197494i | ||||
\(344\) | 7.83960 | 0.422683 | ||||||||
\(345\) | −2.03619 | + | 14.5637i | −0.109625 | + | 0.784085i | ||||
\(346\) | 2.74724 | 0.147693 | ||||||||
\(347\) | −18.5619 | + | 5.45028i | −0.996457 | + | 0.292586i | −0.739002 | − | 0.673704i | \(-0.764702\pi\) |
−0.257456 | + | 0.966290i | \(0.582884\pi\) | |||||||
\(348\) | 7.27700 | + | 8.39810i | 0.390088 | + | 0.450185i | ||||
\(349\) | 22.7619 | − | 14.6282i | 1.21842 | − | 0.783028i | 0.236368 | − | 0.971664i | \(-0.424043\pi\) |
0.982047 | + | 0.188636i | \(0.0604065\pi\) | |||||||
\(350\) | −0.142091 | − | 0.988265i | −0.00759509 | − | 0.0528250i | ||||
\(351\) | 51.2584 | + | 32.9418i | 2.73597 | + | 1.75830i | ||||
\(352\) | −2.02392 | + | 4.43177i | −0.107875 | + | 0.236214i | ||||
\(353\) | −21.6452 | + | 24.9799i | −1.15206 | + | 1.32955i | −0.216538 | + | 0.976274i | \(0.569477\pi\) |
−0.935521 | + | 0.353272i | \(0.885069\pi\) | |||||||
\(354\) | −5.08995 | + | 35.4014i | −0.270528 | + | 1.88156i | ||||
\(355\) | 3.32798 | + | 7.28727i | 0.176631 | + | 0.386768i | ||||
\(356\) | 6.28085 | + | 1.84422i | 0.332884 | + | 0.0977436i | ||||
\(357\) | −12.1113 | − | 3.55621i | −0.640999 | − | 0.188214i | ||||
\(358\) | 1.94673 | + | 4.26274i | 0.102888 | + | 0.225293i | ||||
\(359\) | 2.18894 | − | 15.2244i | 0.115528 | − | 0.803514i | −0.846856 | − | 0.531822i | \(-0.821508\pi\) |
0.962384 | − | 0.271692i | \(-0.0875833\pi\) | |||||||
\(360\) | 4.19249 | − | 4.83839i | 0.220963 | − | 0.255005i | ||||
\(361\) | 11.8144 | − | 25.8698i | 0.621808 | − | 1.36157i | ||||
\(362\) | 17.9646 | + | 11.5452i | 0.944200 | + | 0.606801i | ||||
\(363\) | 5.55807 | + | 38.6572i | 0.291723 | + | 2.02898i | ||||
\(364\) | −4.90593 | + | 3.15285i | −0.257140 | + | 0.165254i | ||||
\(365\) | 7.13161 | + | 8.23031i | 0.373285 | + | 0.430794i | ||||
\(366\) | 1.27402 | − | 0.374087i | 0.0665943 | − | 0.0195538i | ||||
\(367\) | −27.1360 | −1.41649 | −0.708244 | − | 0.705968i | \(-0.750512\pi\) | ||||
−0.708244 | + | 0.705968i | \(0.750512\pi\) | |||||||
\(368\) | −0.700968 | − | 4.74433i | −0.0365405 | − | 0.247315i | ||||
\(369\) | 18.4398 | 0.959937 | ||||||||
\(370\) | 0.0598918 | − | 0.0175858i | 0.00311362 | − | 0.000914242i | ||||
\(371\) | 2.25516 | + | 2.60259i | 0.117082 | + | 0.135120i | ||||
\(372\) | 4.32157 | − | 2.77731i | 0.224063 | − | 0.143997i | ||||
\(373\) | 2.18747 | + | 15.2142i | 0.113263 | + | 0.787762i | 0.964709 | + | 0.263319i | \(0.0848172\pi\) |
−0.851446 | + | 0.524443i | \(0.824274\pi\) | |||||||
\(374\) | 16.8989 | + | 10.8603i | 0.873823 | + | 0.561572i | ||||
\(375\) | 1.27378 | − | 2.78919i | 0.0657778 | − | 0.144033i | ||||
\(376\) | −3.47470 | + | 4.01002i | −0.179194 | + | 0.206801i | ||||
\(377\) | 3.01244 | − | 20.9520i | 0.155149 | − | 1.07908i | ||||
\(378\) | −4.32672 | − | 9.47420i | −0.222543 | − | 0.487300i | ||||
\(379\) | 23.9783 | + | 7.04066i | 1.23168 | + | 0.361654i | 0.831884 | − | 0.554949i | \(-0.187262\pi\) |
0.399797 | + | 0.916604i | \(0.369081\pi\) | |||||||
\(380\) | −6.60866 | − | 1.94048i | −0.339017 | − | 0.0995445i | ||||
\(381\) | −12.5880 | − | 27.5639i | −0.644903 | − | 1.41214i | ||||
\(382\) | −1.31347 | + | 9.13536i | −0.0672028 | + | 0.467406i | ||||
\(383\) | 11.0561 | − | 12.7594i | 0.564942 | − | 0.651977i | −0.399357 | − | 0.916796i | \(-0.630767\pi\) |
0.964298 | + | 0.264818i | \(0.0853120\pi\) | |||||||
\(384\) | −1.27378 | + | 2.78919i | −0.0650024 | + | 0.142335i | ||||
\(385\) | 4.09218 | + | 2.62988i | 0.208557 | + | 0.134031i | ||||
\(386\) | −1.20552 | − | 8.38457i | −0.0613593 | − | 0.426764i | ||||
\(387\) | 42.2225 | − | 27.1347i | 2.14629 | − | 1.37934i | ||||
\(388\) | 0.645187 | + | 0.744585i | 0.0327544 | + | 0.0378006i | ||||
\(389\) | −9.88387 | + | 2.90217i | −0.501132 | + | 0.147146i | −0.522522 | − | 0.852626i | \(-0.675009\pi\) |
0.0213904 | + | 0.999771i | \(0.493191\pi\) | |||||||
\(390\) | −17.9098 | −0.906897 | ||||||||
\(391\) | −19.7734 | + | 0.0768729i | −0.999984 | + | 0.00388763i | ||||
\(392\) | −6.00314 | −0.303204 | ||||||||
\(393\) | −58.6080 | + | 17.2088i | −2.95638 | + | 0.868072i | ||||
\(394\) | −11.7795 | − | 13.5943i | −0.593443 | − | 0.684869i | ||||
\(395\) | 13.0470 | − | 8.38479i | 0.656465 | − | 0.421885i | ||||
\(396\) | 4.43899 | + | 30.8739i | 0.223068 | + | 1.55147i | ||||
\(397\) | −5.45002 | − | 3.50252i | −0.273529 | − | 0.175786i | 0.396684 | − | 0.917955i | \(-0.370161\pi\) |
−0.670213 | + | 0.742169i | \(0.733797\pi\) | |||||||
\(398\) | 0.341943 | − | 0.748750i | 0.0171400 | − | 0.0375315i | ||||
\(399\) | −13.8086 | + | 15.9360i | −0.691295 | + | 0.797797i | ||||
\(400\) | −0.142315 | + | 0.989821i | −0.00711574 | + | 0.0494911i | ||||
\(401\) | 2.31407 | + | 5.06711i | 0.115559 | + | 0.253039i | 0.958570 | − | 0.284858i | \(-0.0919463\pi\) |
−0.843011 | + | 0.537897i | \(0.819219\pi\) | |||||||
\(402\) | −14.9222 | − | 4.38155i | −0.744251 | − | 0.218532i | ||||
\(403\) | −9.38906 | − | 2.75688i | −0.467702 | − | 0.137330i | ||||
\(404\) | 7.21635 | + | 15.8016i | 0.359027 | + | 0.786159i | ||||
\(405\) | 1.81887 | − | 12.6505i | 0.0903806 | − | 0.628611i | ||||
\(406\) | −2.36950 | + | 2.73454i | −0.117596 | + | 0.135713i | ||||
\(407\) | −0.126334 | + | 0.276632i | −0.00626212 | + | 0.0137121i | ||||
\(408\) | 10.6356 | + | 6.83506i | 0.526539 | + | 0.338386i | ||||
\(409\) | 2.73141 | + | 18.9974i | 0.135060 | + | 0.939360i | 0.938820 | + | 0.344407i | \(0.111920\pi\) |
−0.803761 | + | 0.594953i | \(0.797171\pi\) | |||||||
\(410\) | −2.42304 | + | 1.55719i | −0.119665 | + | 0.0769042i | ||||
\(411\) | −0.577228 | − | 0.666157i | −0.0284726 | − | 0.0328591i | ||||
\(412\) | −8.20525 | + | 2.40928i | −0.404244 | + | 0.118697i | ||||
\(413\) | −11.6458 | −0.573050 | ||||||||
\(414\) | −20.1965 | − | 23.1258i | −0.992605 | − | 1.13657i | ||||
\(415\) | −6.53083 | −0.320586 | ||||||||
\(416\) | 5.60428 | − | 1.64556i | 0.274772 | − | 0.0806804i | ||||
\(417\) | −4.71146 | − | 5.43732i | −0.230721 | − | 0.266267i | ||||
\(418\) | 28.2300 | − | 18.1423i | 1.38077 | − | 0.887368i | ||||
\(419\) | −4.81801 | − | 33.5100i | −0.235375 | − | 1.63707i | −0.674237 | − | 0.738515i | \(-0.735527\pi\) |
0.438862 | − | 0.898554i | \(-0.355382\pi\) | |||||||
\(420\) | 2.57547 | + | 1.65515i | 0.125670 | + | 0.0807631i | ||||
\(421\) | −3.18322 | + | 6.97029i | −0.155141 | + | 0.339711i | −0.971203 | − | 0.238253i | \(-0.923425\pi\) |
0.816062 | + | 0.577964i | \(0.196153\pi\) | |||||||
\(422\) | −14.7526 | + | 17.0255i | −0.718148 | + | 0.828787i | ||||
\(423\) | −4.83439 | + | 33.6239i | −0.235056 | + | 1.63485i | ||||
\(424\) | −1.43283 | − | 3.13746i | −0.0695843 | − | 0.152368i | ||||
\(425\) | 3.95606 | + | 1.16160i | 0.191897 | + | 0.0563460i | ||||
\(426\) | −23.5697 | − | 6.92068i | −1.14195 | − | 0.335308i | ||||
\(427\) | 0.179606 | + | 0.393283i | 0.00869176 | + | 0.0190323i | ||||
\(428\) | −1.05762 | + | 7.35589i | −0.0511218 | + | 0.355560i | ||||
\(429\) | 57.1414 | − | 65.9447i | 2.75881 | − | 3.18384i | ||||
\(430\) | −3.25669 | + | 7.13115i | −0.157051 | + | 0.343895i | ||||
\(431\) | 15.7903 | + | 10.1478i | 0.760592 | + | 0.488803i | 0.862541 | − | 0.505987i | \(-0.168872\pi\) |
−0.101949 | + | 0.994790i | \(0.532508\pi\) | |||||||
\(432\) | 1.48460 | + | 10.3256i | 0.0714280 | + | 0.496793i | ||||
\(433\) | 24.9444 | − | 16.0308i | 1.19875 | − | 0.770391i | 0.220012 | − | 0.975497i | \(-0.429390\pi\) |
0.978740 | + | 0.205106i | \(0.0657539\pi\) | |||||||
\(434\) | 1.09539 | + | 1.26415i | 0.0525803 | + | 0.0606809i | ||||
\(435\) | −10.6622 | + | 3.13069i | −0.511211 | + | 0.150105i | ||||
\(436\) | −3.35720 | −0.160781 | ||||||||
\(437\) | −13.6051 | + | 30.1001i | −0.650820 | + | 1.43989i | ||||
\(438\) | −33.3927 | −1.59556 | ||||||||
\(439\) | 18.1651 | − | 5.33374i | 0.866971 | − | 0.254566i | 0.182144 | − | 0.983272i | \(-0.441696\pi\) |
0.684826 | + | 0.728706i | \(0.259878\pi\) | |||||||
\(440\) | −3.19051 | − | 3.68205i | −0.152102 | − | 0.175535i | ||||
\(441\) | −32.3317 | + | 20.7783i | −1.53960 | + | 0.989443i | ||||
\(442\) | −3.42727 | − | 23.8372i | −0.163019 | − | 1.13382i | ||||
\(443\) | 16.4781 | + | 10.5898i | 0.782896 | + | 0.503137i | 0.869994 | − | 0.493063i | \(-0.164123\pi\) |
−0.0870975 | + | 0.996200i | \(0.527759\pi\) | |||||||
\(444\) | −0.0795097 | + | 0.174102i | −0.00377336 | + | 0.00826251i | ||||
\(445\) | −4.28672 | + | 4.94714i | −0.203210 | + | 0.234517i | ||||
\(446\) | 0.726711 | − | 5.05439i | 0.0344108 | − | 0.239332i | ||||
\(447\) | 5.98981 | + | 13.1158i | 0.283308 | + | 0.620358i | ||||
\(448\) | −0.957984 | − | 0.281290i | −0.0452605 | − | 0.0132897i | ||||
\(449\) | −15.5044 | − | 4.55250i | −0.731698 | − | 0.214846i | −0.105400 | − | 0.994430i | \(-0.533612\pi\) |
−0.626298 | + | 0.779584i | \(0.715430\pi\) | |||||||
\(450\) | 2.65953 | + | 5.82356i | 0.125371 | + | 0.274525i | ||||
\(451\) | 1.99708 | − | 13.8900i | 0.0940387 | − | 0.654054i | ||||
\(452\) | −6.47809 | + | 7.47612i | −0.304704 | + | 0.351647i | ||||
\(453\) | −15.9651 | + | 34.9587i | −0.750106 | + | 1.64250i | ||||
\(454\) | −13.2861 | − | 8.53846i | −0.623547 | − | 0.400730i | ||||
\(455\) | −0.829936 | − | 5.77233i | −0.0389080 | − | 0.270611i | ||||
\(456\) | 17.7669 | − | 11.4181i | 0.832011 | − | 0.534701i | ||||
\(457\) | 23.4060 | + | 27.0119i | 1.09488 | + | 1.26356i | 0.962182 | + | 0.272409i | \(0.0878202\pi\) |
0.132703 | + | 0.991156i | \(0.457634\pi\) | |||||||
\(458\) | 14.6014 | − | 4.28736i | 0.682280 | − | 0.200335i | ||||
\(459\) | 43.0111 | 2.00759 | ||||||||
\(460\) | 4.60678 | + | 1.33324i | 0.214792 | + | 0.0621627i | ||||
\(461\) | −0.555235 | −0.0258599 | −0.0129299 | − | 0.999916i | \(-0.504116\pi\) | ||||
−0.0129299 | + | 0.999916i | \(0.504116\pi\) | |||||||
\(462\) | −14.3114 | + | 4.20221i | −0.665827 | + | 0.195504i | ||||
\(463\) | −16.6621 | − | 19.2291i | −0.774355 | − | 0.893654i | 0.222333 | − | 0.974971i | \(-0.428633\pi\) |
−0.996688 | + | 0.0813170i | \(0.974087\pi\) | |||||||
\(464\) | 3.04872 | − | 1.95929i | 0.141533 | − | 0.0909579i | ||||
\(465\) | 0.731081 | + | 5.08478i | 0.0339031 | + | 0.235801i | ||||
\(466\) | 18.6215 | + | 11.9673i | 0.862622 | + | 0.554374i | ||||
\(467\) | 10.2380 | − | 22.4181i | 0.473759 | − | 1.03739i | −0.510374 | − | 0.859953i | \(-0.670493\pi\) |
0.984133 | − | 0.177434i | \(-0.0567797\pi\) | |||||||
\(468\) | 24.4878 | − | 28.2604i | 1.13195 | − | 1.30634i | ||||
\(469\) | 0.720683 | − | 5.01246i | 0.0332781 | − | 0.231454i | ||||
\(470\) | −2.20420 | − | 4.82652i | −0.101672 | − | 0.222631i | ||||
\(471\) | −42.5692 | − | 12.4994i | −1.96148 | − | 0.575944i | ||||
\(472\) | 11.1916 | + | 3.28616i | 0.515136 | + | 0.151258i | ||||
\(473\) | −15.8667 | − | 34.7433i | −0.729553 | − | 1.59750i | ||||
\(474\) | −6.76778 | + | 47.0709i | −0.310854 | + | 2.16204i | ||||
\(475\) | 4.51046 | − | 5.20535i | 0.206954 | − | 0.238838i | ||||
\(476\) | −1.71009 | + | 3.74458i | −0.0783819 | + | 0.171633i | ||||
\(477\) | −18.5764 | − | 11.9383i | −0.850555 | − | 0.546618i | ||||
\(478\) | −1.44054 | − | 10.0192i | −0.0658887 | − | 0.458266i | ||||
\(479\) | 8.68880 | − | 5.58396i | 0.397002 | − | 0.255137i | −0.326874 | − | 0.945068i | \(-0.605995\pi\) |
0.723876 | + | 0.689930i | \(0.242359\pi\) | |||||||
\(480\) | −2.00799 | − | 2.31734i | −0.0916518 | − | 0.105772i | ||||
\(481\) | 0.349820 | − | 0.102716i | 0.0159504 | − | 0.00468347i | ||||
\(482\) | −1.74704 | −0.0795757 | ||||||||
\(483\) | 9.57163 | − | 11.1334i | 0.435524 | − | 0.506588i | ||||
\(484\) | 12.7368 | 0.578947 | ||||||||
\(485\) | −0.945319 | + | 0.277571i | −0.0429247 | + | 0.0126038i | ||||
\(486\) | 5.16920 | + | 5.96558i | 0.234480 | + | 0.270604i | ||||
\(487\) | −4.75108 | + | 3.05333i | −0.215292 | + | 0.138360i | −0.643842 | − | 0.765158i | \(-0.722661\pi\) |
0.428551 | + | 0.903518i | \(0.359024\pi\) | |||||||
\(488\) | −0.0616273 | − | 0.428628i | −0.00278974 | − | 0.0194031i | ||||
\(489\) | 4.91057 | + | 3.15583i | 0.222063 | + | 0.142712i | ||||
\(490\) | 2.49380 | − | 5.46065i | 0.112658 | − | 0.246687i | ||||
\(491\) | −5.85756 | + | 6.75998i | −0.264348 | + | 0.305074i | −0.872370 | − | 0.488847i | \(-0.837418\pi\) |
0.608022 | + | 0.793920i | \(0.291963\pi\) | |||||||
\(492\) | 1.25689 | − | 8.74184i | 0.0566648 | − | 0.394112i | ||||
\(493\) | −6.20717 | − | 13.5918i | −0.279557 | − | 0.612144i | ||||
\(494\) | −38.6004 | − | 11.3341i | −1.73671 | − | 0.509945i | ||||
\(495\) | −29.9279 | − | 8.78762i | −1.34516 | − | 0.394974i | ||||
\(496\) | −0.695961 | − | 1.52394i | −0.0312496 | − | 0.0684270i | ||||
\(497\) | 1.13832 | − | 7.91721i | 0.0510608 | − | 0.355136i | ||||
\(498\) | 13.1138 | − | 15.1342i | 0.587645 | − | 0.678179i | ||||
\(499\) | −9.61791 | + | 21.0603i | −0.430557 | + | 0.942788i | 0.562679 | + | 0.826675i | \(0.309771\pi\) |
−0.993236 | + | 0.116112i | \(0.962957\pi\) | |||||||
\(500\) | −0.841254 | − | 0.540641i | −0.0376220 | − | 0.0241782i | ||||
\(501\) | −5.71691 | − | 39.7620i | −0.255413 | − | 1.77643i | ||||
\(502\) | 18.3376 | − | 11.7848i | 0.818446 | − | 0.525983i | ||||
\(503\) | −7.30339 | − | 8.42856i | −0.325642 | − | 0.375811i | 0.569196 | − | 0.822202i | \(-0.307255\pi\) |
−0.894838 | + | 0.446391i | \(0.852709\pi\) | |||||||
\(504\) | −6.13311 | + | 1.80084i | −0.273191 | + | 0.0802160i | ||||
\(505\) | −17.3714 | −0.773019 | ||||||||
\(506\) | −19.6071 | + | 12.7087i | −0.871640 | + | 0.564969i | ||||
\(507\) | −64.7470 | −2.87552 | ||||||||
\(508\) | −9.48208 | + | 2.78419i | −0.420699 | + | 0.123528i | ||||
\(509\) | 18.6318 | + | 21.5022i | 0.825839 | + | 0.953069i | 0.999496 | − | 0.0317372i | \(-0.0101040\pi\) |
−0.173657 | + | 0.984806i | \(0.555559\pi\) | |||||||
\(510\) | −10.6356 | + | 6.83506i | −0.470950 | + | 0.302661i | ||||
\(511\) | −1.54741 | − | 10.7625i | −0.0684533 | − | 0.476103i | ||||
\(512\) | 0.841254 | + | 0.540641i | 0.0371785 | + | 0.0238932i | ||||
\(513\) | 29.8479 | − | 65.3579i | 1.31782 | − | 2.88562i | ||||
\(514\) | −2.42687 | + | 2.80075i | −0.107044 | + | 0.123536i | ||||
\(515\) | 1.21703 | − | 8.46461i | 0.0536286 | − | 0.372995i | ||||
\(516\) | −9.98593 | − | 21.8661i | −0.439606 | − | 0.962603i | ||||
\(517\) | 24.8040 | + | 7.28311i | 1.09088 | + | 0.320311i | ||||
\(518\) | −0.0597976 | − | 0.0175582i | −0.00262735 | − | 0.000771461i | ||||
\(519\) | −3.49939 | − | 7.66259i | −0.153606 | − | 0.336350i | ||||
\(520\) | −0.831243 | + | 5.78142i | −0.0364524 | + | 0.253532i | ||||
\(521\) | −18.2828 | + | 21.0995i | −0.800984 | + | 0.924385i | −0.998435 | − | 0.0559282i | \(-0.982188\pi\) |
0.197451 | + | 0.980313i | \(0.436734\pi\) | |||||||
\(522\) | 9.63819 | − | 21.1047i | 0.421852 | − | 0.923727i | ||||
\(523\) | 29.4445 | + | 18.9228i | 1.28752 | + | 0.827438i | 0.991795 | − | 0.127835i | \(-0.0408029\pi\) |
0.295723 | + | 0.955274i | \(0.404439\pi\) | |||||||
\(524\) | 2.83500 | + | 19.7178i | 0.123847 | + | 0.861377i | ||||
\(525\) | −2.57547 | + | 1.65515i | −0.112403 | + | 0.0722368i | ||||
\(526\) | 6.68611 | + | 7.71618i | 0.291528 | + | 0.336442i | ||||
\(527\) | −6.62774 | + | 1.94608i | −0.288709 | + | 0.0847725i | ||||
\(528\) | 14.9391 | 0.650140 | ||||||||
\(529\) | 9.39159 | − | 20.9952i | 0.408330 | − | 0.912834i | ||||
\(530\) | 3.44915 | 0.149821 | ||||||||
\(531\) | 71.6499 | − | 21.0383i | 3.10934 | − | 0.912985i | ||||
\(532\) | 4.50337 | + | 5.19716i | 0.195246 | + | 0.225326i | ||||
\(533\) | −14.1527 | + | 9.09536i | −0.613020 | + | 0.393964i | ||||
\(534\) | −2.85653 | − | 19.8676i | −0.123614 | − | 0.859756i | ||||
\(535\) | −6.25180 | − | 4.01779i | −0.270289 | − | 0.173704i | ||||
\(536\) | −2.10698 | + | 4.61364i | −0.0910076 | + | 0.199279i | ||||
\(537\) | 9.40989 | − | 10.8596i | 0.406067 | − | 0.468626i | ||||
\(538\) | −1.16563 | + | 8.10716i | −0.0502540 | + | 0.349524i | ||||
\(539\) | 12.1499 | + | 26.6045i | 0.523333 | + | 1.14594i | ||||
\(540\) | −10.0093 | − | 2.93898i | −0.430730 | − | 0.126474i | ||||
\(541\) | 39.5942 | + | 11.6259i | 1.70229 | + | 0.499836i | 0.981198 | − | 0.193006i | \(-0.0618236\pi\) |
0.721089 | + | 0.692842i | \(0.243642\pi\) | |||||||
\(542\) | 9.96907 | + | 21.8292i | 0.428208 | + | 0.937645i | ||||
\(543\) | 9.31868 | − | 64.8128i | 0.399903 | − | 2.78138i | ||||
\(544\) | 2.70004 | − | 3.11601i | 0.115763 | − | 0.133598i | ||||
\(545\) | 1.39463 | − | 3.05382i | 0.0597395 | − | 0.130811i | ||||
\(546\) | 15.0430 | + | 9.66753i | 0.643780 | + | 0.413732i | ||||
\(547\) | 2.02857 | + | 14.1090i | 0.0867354 | + | 0.603258i | 0.986112 | + | 0.166083i | \(0.0531119\pi\) |
−0.899376 | + | 0.437175i | \(0.855979\pi\) | |||||||
\(548\) | −0.241831 | + | 0.155416i | −0.0103305 | + | 0.00663903i | ||||
\(549\) | −1.81549 | − | 2.09519i | −0.0774834 | − | 0.0894206i | ||||
\(550\) | 4.67469 | − | 1.37261i | 0.199330 | − | 0.0585285i | ||||
\(551\) | −24.9610 | −1.06338 | ||||||||
\(552\) | −12.3400 | + | 7.99837i | −0.525223 | + | 0.340433i | ||||
\(553\) | −15.4846 | −0.658472 | ||||||||
\(554\) | −21.1442 | + | 6.20849i | −0.898329 | + | 0.263773i | ||||
\(555\) | −0.125339 | − | 0.144649i | −0.00532035 | − | 0.00614001i | ||||
\(556\) | −1.97388 | + | 1.26854i | −0.0837112 | + | 0.0537979i | ||||
\(557\) | −1.33279 | − | 9.26977i | −0.0564722 | − | 0.392773i | −0.998380 | − | 0.0569007i | \(-0.981878\pi\) |
0.941908 | − | 0.335872i | \(-0.109031\pi\) | |||||||
\(558\) | −9.02303 | − | 5.79875i | −0.381975 | − | 0.245481i | ||||
\(559\) | −19.0219 | + | 41.6521i | −0.804540 | + | 1.76170i | ||||
\(560\) | 0.653831 | − | 0.754561i | 0.0276294 | − | 0.0318860i | ||||
\(561\) | 8.76587 | − | 60.9680i | 0.370095 | − | 2.57407i | ||||
\(562\) | −7.92294 | − | 17.3488i | −0.334209 | − | 0.731816i | ||||
\(563\) | 29.7942 | + | 8.74838i | 1.25568 | + | 0.368700i | 0.840884 | − | 0.541215i | \(-0.182036\pi\) |
0.414794 | + | 0.909915i | \(0.363854\pi\) | |||||||
\(564\) | 15.6107 | + | 4.58372i | 0.657330 | + | 0.193009i | ||||
\(565\) | −4.10942 | − | 8.99837i | −0.172885 | − | 0.378564i | ||||
\(566\) | 2.96262 | − | 20.6055i | 0.124528 | − | 0.866114i | ||||
\(567\) | −8.35637 | + | 9.64377i | −0.350935 | + | 0.405000i | ||||
\(568\) | −3.32798 | + | 7.28727i | −0.139639 | + | 0.305767i | ||||
\(569\) | 26.0705 | + | 16.7545i | 1.09293 | + | 0.702386i | 0.957509 | − | 0.288402i | \(-0.0931240\pi\) |
0.135424 | + | 0.990788i | \(0.456760\pi\) | |||||||
\(570\) | 3.00562 | + | 20.9046i | 0.125892 | + | 0.875596i | ||||
\(571\) | −24.9867 | + | 16.0580i | −1.04566 | + | 0.672005i | −0.946380 | − | 0.323055i | \(-0.895290\pi\) |
−0.0992795 | + | 0.995060i | \(0.531654\pi\) | |||||||
\(572\) | −18.6354 | − | 21.5064i | −0.779184 | − | 0.899226i | ||||
\(573\) | 27.1533 | − | 7.97294i | 1.13435 | − | 0.333074i | ||||
\(574\) | 2.87574 | 0.120031 | ||||||||
\(575\) | −3.12649 | + | 3.63663i | −0.130384 | + | 0.151658i | ||||
\(576\) | 6.40210 | 0.266754 | ||||||||
\(577\) | 14.9900 | − | 4.40146i | 0.624042 | − | 0.183235i | 0.0456012 | − | 0.998960i | \(-0.485480\pi\) |
0.578441 | + | 0.815725i | \(0.303661\pi\) | |||||||
\(578\) | 0.000187174 | 0 | 0.000216010i | 7.78540e−6 | 0 | 8.98482e-6i | ||||
\(579\) | −21.8506 | + | 14.0425i | −0.908080 | + | 0.583588i | ||||
\(580\) | 0.515752 | + | 3.58713i | 0.0214154 | + | 0.148948i | ||||
\(581\) | 5.48545 | + | 3.52528i | 0.227575 | + | 0.146253i | ||||
\(582\) | 1.25496 | − | 2.74799i | 0.0520199 | − | 0.113908i | ||||
\(583\) | −11.0045 | + | 12.6999i | −0.455762 | + | 0.525977i | ||||
\(584\) | −1.54985 | + | 10.7794i | −0.0641331 | + | 0.446055i | ||||
\(585\) | 15.5340 | + | 34.0147i | 0.642251 | + | 1.40633i | ||||
\(586\) | 9.82076 | + | 2.88364i | 0.405692 | + | 0.119122i | ||||
\(587\) | 26.5069 | + | 7.78313i | 1.09406 | + | 0.321244i | 0.778488 | − | 0.627659i | \(-0.215987\pi\) |
0.315568 | + | 0.948903i | \(0.397805\pi\) | |||||||
\(588\) | 7.64669 | + | 16.7439i | 0.315344 | + | 0.690507i | ||||
\(589\) | −1.64219 | + | 11.4217i | −0.0676654 | + | 0.470623i | ||||
\(590\) | −7.63836 | + | 8.81514i | −0.314466 | + | 0.362913i | ||||
\(591\) | −22.9125 | + | 50.1714i | −0.942495 | + | 2.06378i | ||||
\(592\) | 0.0525112 | + | 0.0337469i | 0.00215820 | + | 0.00138699i | ||||
\(593\) | −1.29617 | − | 9.01505i | −0.0532273 | − | 0.370204i | −0.998974 | − | 0.0452976i | \(-0.985576\pi\) |
0.945746 | − | 0.324906i | \(-0.105333\pi\) | |||||||
\(594\) | 42.7561 | − | 27.4777i | 1.75431 | − | 1.12742i | ||||
\(595\) | −2.69579 | − | 3.11111i | −0.110517 | − | 0.127543i | ||||
\(596\) | 4.51190 | − | 1.32481i | 0.184815 | − | 0.0542665i | ||||
\(597\) | −2.52397 | −0.103299 | ||||||||
\(598\) | 26.9076 | + | 7.78730i | 1.10034 | + | 0.318446i | ||||
\(599\) | −15.9248 | −0.650671 | −0.325336 | − | 0.945599i | \(-0.605477\pi\) | ||||
−0.325336 | + | 0.945599i | \(0.605477\pi\) | |||||||
\(600\) | 2.94208 | − | 0.863872i | 0.120110 | − | 0.0352674i | ||||
\(601\) | −20.6446 | − | 23.8251i | −0.842109 | − | 0.971846i | 0.157768 | − | 0.987476i | \(-0.449570\pi\) |
−0.999878 | + | 0.0156300i | \(0.995025\pi\) | |||||||
\(602\) | 6.58472 | − | 4.23174i | 0.268373 | − | 0.172473i | ||||
\(603\) | 4.62116 | + | 32.1409i | 0.188188 | + | 1.30888i | ||||
\(604\) | 10.5440 | + | 6.77619i | 0.429028 | + | 0.275719i | ||||
\(605\) | −5.29107 | + | 11.5858i | −0.215113 | + | 0.471031i | ||||
\(606\) | 34.8817 | − | 40.2556i | 1.41697 | − | 1.63527i | ||||
\(607\) | −3.87004 | + | 26.9167i | −0.157080 | + | 1.09252i | 0.746898 | + | 0.664938i | \(0.231542\pi\) |
−0.903978 | + | 0.427578i | \(0.859367\pi\) | |||||||
\(608\) | −2.86124 | − | 6.26524i | −0.116039 | − | 0.254089i | ||||
\(609\) | 10.6454 | + | 3.12577i | 0.431373 | + | 0.126662i | ||||
\(610\) | 0.415494 | + | 0.122000i | 0.0168229 | + | 0.00493964i | ||||
\(611\) | −12.8744 | − | 28.1911i | −0.520844 | − | 1.14049i | ||||
\(612\) | 3.75659 | − | 26.1277i | 0.151851 | − | 1.05615i | ||||
\(613\) | −9.47056 | + | 10.9296i | −0.382512 | + | 0.441443i | −0.914056 | − | 0.405588i | \(-0.867067\pi\) |
0.531544 | + | 0.847031i | \(0.321612\pi\) | |||||||
\(614\) | −9.27452 | + | 20.3084i | −0.374289 | + | 0.819579i | ||||
\(615\) | 7.42973 | + | 4.77480i | 0.299595 | + | 0.192538i | ||||
\(616\) | 0.692274 | + | 4.81487i | 0.0278925 | + | 0.193997i | ||||
\(617\) | −12.3616 | + | 7.94433i | −0.497660 | + | 0.319827i | −0.765280 | − | 0.643698i | \(-0.777399\pi\) |
0.267620 | + | 0.963525i | \(0.413763\pi\) | |||||||
\(618\) | 17.1716 | + | 19.8171i | 0.690744 | + | 0.797161i | ||||
\(619\) | −23.3230 | + | 6.84824i | −0.937430 | + | 0.275254i | −0.714544 | − | 0.699590i | \(-0.753366\pi\) |
−0.222885 | + | 0.974845i | \(0.571548\pi\) | |||||||
\(620\) | 1.67534 | 0.0672832 | ||||||||
\(621\) | −20.6058 | + | 45.5887i | −0.826884 | + | 1.82941i | ||||
\(622\) | −22.2447 | −0.891929 | ||||||||
\(623\) | 6.27097 | − | 1.84132i | 0.251241 | − | 0.0737711i | ||||
\(624\) | −11.7284 | − | 13.5353i | −0.469512 | − | 0.541846i | ||||
\(625\) | 0.841254 | − | 0.540641i | 0.0336501 | − | 0.0216256i | ||||
\(626\) | −2.79875 | − | 19.4657i | −0.111861 | − | 0.778007i | ||||
\(627\) | −86.5611 | − | 55.6294i | −3.45692 | − | 2.22163i | ||||
\(628\) | −6.01067 | + | 13.1615i | −0.239852 | + | 0.525203i | ||||
\(629\) | 0.168537 | − | 0.194502i | 0.00672001 | − | 0.00775530i | ||||
\(630\) | 0.909682 | − | 6.32698i | 0.0362426 | − | 0.252073i | ||||
\(631\) | −1.56387 | − | 3.42440i | −0.0622566 | − | 0.136323i | 0.875946 | − | 0.482409i | \(-0.160238\pi\) |
−0.938203 | + | 0.346086i | \(0.887511\pi\) | |||||||
\(632\) | 14.8808 | + | 4.36939i | 0.591925 | + | 0.173805i | ||||
\(633\) | 66.2789 | + | 19.4612i | 2.63435 | + | 0.773515i | ||||
\(634\) | 3.59659 | + | 7.87543i | 0.142839 | + | 0.312773i | ||||
\(635\) | 1.40641 | − | 9.78180i | 0.0558117 | − | 0.388179i | ||||
\(636\) | −6.92585 | + | 7.99286i | −0.274628 | + | 0.316938i | ||||
\(637\) | 14.5659 | − | 31.8950i | 0.577124 | − | 1.26372i | ||||
\(638\) | −14.8535 | − | 9.54577i | −0.588056 | − | 0.377921i | ||||
\(639\) | 7.29914 | + | 50.7667i | 0.288750 | + | 2.00830i | ||||
\(640\) | −0.841254 | + | 0.540641i | −0.0332535 | + | 0.0213707i | ||||
\(641\) | −4.67238 | − | 5.39222i | −0.184548 | − | 0.212980i | 0.655935 | − | 0.754817i | \(-0.272274\pi\) |
−0.840483 | + | 0.541837i | \(0.817729\pi\) | |||||||
\(642\) | 21.8642 | − | 6.41989i | 0.862909 | − | 0.253373i | ||||
\(643\) | 8.12944 | 0.320594 | 0.160297 | − | 0.987069i | \(-0.448755\pi\) | ||||
0.160297 | + | 0.987069i | \(0.448755\pi\) | |||||||
\(644\) | −3.14971 | − | 3.60653i | −0.124116 | − | 0.142117i | ||||
\(645\) | 24.0384 | 0.946513 | ||||||||
\(646\) | −27.2480 | + | 8.00073i | −1.07206 | + | 0.314785i | ||||
\(647\) | 3.33009 | + | 3.84313i | 0.130919 | + | 0.151089i | 0.817424 | − | 0.576036i | \(-0.195401\pi\) |
−0.686505 | + | 0.727125i | \(0.740856\pi\) | |||||||
\(648\) | 10.7518 | − | 6.90973i | 0.422369 | − | 0.271440i | ||||
\(649\) | −8.08747 | − | 56.2496i | −0.317461 | − | 2.20799i | ||||
\(650\) | −4.91365 | − | 3.15781i | −0.192729 | − | 0.123860i | ||||
\(651\) | 2.13066 | − | 4.66549i | 0.0835071 | − | 0.182855i | ||||
\(652\) | 1.24664 | − | 1.43870i | 0.0488222 | − | 0.0563438i | ||||
\(653\) | 2.80793 | − | 19.5296i | 0.109883 | − | 0.764251i | −0.858145 | − | 0.513407i | \(-0.828383\pi\) |
0.968028 | − | 0.250843i | \(-0.0807079\pi\) | |||||||
\(654\) | 4.27634 | + | 9.36388i | 0.167218 | + | 0.366157i | ||||
\(655\) | −19.1137 | − | 5.61228i | −0.746833 | − | 0.219290i | ||||
\(656\) | −2.76360 | − | 0.811466i | −0.107900 | − | 0.0316824i | ||||
\(657\) | 28.9630 | + | 63.4201i | 1.12995 | + | 2.47425i | ||||
\(658\) | −0.753937 | + | 5.24375i | −0.0293915 | + | 0.204423i | ||||
\(659\) | 8.20440 | − | 9.46839i | 0.319598 | − | 0.368836i | −0.573104 | − | 0.819482i | \(-0.694261\pi\) |
0.892703 | + | 0.450646i | \(0.148806\pi\) | |||||||
\(660\) | −6.20592 | + | 13.5891i | −0.241565 | + | 0.528954i | ||||
\(661\) | −30.1067 | − | 19.3484i | −1.17102 | − | 0.752566i | −0.197302 | − | 0.980343i | \(-0.563218\pi\) |
−0.973713 | + | 0.227777i | \(0.926854\pi\) | |||||||
\(662\) | 2.74871 | + | 19.1177i | 0.106832 | + | 0.743032i | ||||
\(663\) | −62.1209 | + | 39.9227i | −2.41258 | + | 1.55047i | ||||
\(664\) | −4.27679 | − | 4.93567i | −0.165971 | − | 0.191541i | ||||
\(665\) | −6.59827 | + | 1.93743i | −0.255870 | + | 0.0751302i | ||||
\(666\) | 0.399621 | 0.0154850 | ||||||||
\(667\) | 17.3801 | − | 0.0675683i | 0.672959 | − | 0.00261626i | ||||
\(668\) | −13.1008 | −0.506886 | ||||||||
\(669\) | −15.0233 | + | 4.41125i | −0.580835 | + | 0.170549i | ||||
\(670\) | −3.32144 | − | 3.83315i | −0.128319 | − | 0.148087i | ||||
\(671\) | −1.77485 | + | 1.14063i | −0.0685173 | + | 0.0440334i | ||||
\(672\) | 0.435692 | + | 3.03030i | 0.0168072 | + | 0.116896i | ||||
\(673\) | −9.10217 | − | 5.84961i | −0.350863 | − | 0.225486i | 0.353323 | − | 0.935501i | \(-0.385052\pi\) |
−0.704186 | + | 0.710015i | \(0.748688\pi\) | |||||||
\(674\) | 3.41326 | − | 7.47399i | 0.131474 | − | 0.287887i | ||||
\(675\) | 6.83139 | − | 7.88385i | 0.262940 | − | 0.303449i | ||||
\(676\) | −3.00509 | + | 20.9009i | −0.115580 | + | 0.803879i | ||||
\(677\) | 11.7155 | + | 25.6533i | 0.450262 | + | 0.985936i | 0.989600 | + | 0.143847i | \(0.0459472\pi\) |
−0.539338 | + | 0.842089i | \(0.681325\pi\) | |||||||
\(678\) | 29.1040 | + | 8.54570i | 1.11773 | + | 0.328196i | ||||
\(679\) | 0.943832 | + | 0.277134i | 0.0362210 | + | 0.0106354i | ||||
\(680\) | 1.71279 | + | 3.75048i | 0.0656823 | + | 0.143824i | ||||
\(681\) | −6.89181 | + | 47.9336i | −0.264095 | + | 1.83682i | ||||
\(682\) | −5.34519 | + | 6.16867i | −0.204678 | + | 0.236211i | ||||
\(683\) | −2.00474 | + | 4.38977i | −0.0767092 | + | 0.167970i | −0.944101 | − | 0.329656i | \(-0.893067\pi\) |
0.867392 | + | 0.497626i | \(0.165795\pi\) | |||||||
\(684\) | −37.0955 | − | 23.8398i | −1.41838 | − | 0.911539i | ||||
\(685\) | −0.0409106 | − | 0.284540i | −0.00156311 | − | 0.0108717i | ||||
\(686\) | −10.9217 | + | 7.01897i | −0.416994 | + | 0.267986i | ||||
\(687\) | −30.5573 | − | 35.2650i | −1.16583 | − | 1.34544i | ||||
\(688\) | −7.52204 | + | 2.20867i | −0.286775 | + | 0.0842048i | ||||
\(689\) | 20.1460 | 0.767503 | ||||||||
\(690\) | −2.14937 | − | 14.5475i | −0.0818250 | − | 0.553812i | ||||
\(691\) | −19.3152 | −0.734786 | −0.367393 | − | 0.930066i | \(-0.619750\pi\) | ||||
−0.367393 | + | 0.930066i | \(0.619750\pi\) | |||||||
\(692\) | −2.63596 | + | 0.773988i | −0.100204 | + | 0.0294226i | ||||
\(693\) | 20.3939 | + | 23.5358i | 0.774699 | + | 0.894050i | ||||
\(694\) | 16.2745 | − | 10.4590i | 0.617773 | − | 0.397019i | ||||
\(695\) | −0.333922 | − | 2.32248i | −0.0126664 | − | 0.0880965i | ||||
\(696\) | −9.34824 | − | 6.00775i | −0.354344 | − | 0.227723i | ||||
\(697\) | −4.93329 | + | 10.8024i | −0.186862 | + | 0.409170i | ||||
\(698\) | −17.7186 | + | 20.4484i | −0.670660 | + | 0.773983i | ||||
\(699\) | 9.65938 | − | 67.1825i | 0.365351 | − | 2.54107i | ||||
\(700\) | 0.414762 | + | 0.908202i | 0.0156765 | + | 0.0343268i | ||||
\(701\) | 17.4831 | + | 5.13350i | 0.660328 | + | 0.193890i | 0.594692 | − | 0.803954i | \(-0.297274\pi\) |
0.0656361 | + | 0.997844i | \(0.479092\pi\) | |||||||
\(702\) | −58.4628 | − | 17.1662i | −2.20654 | − | 0.647898i | ||||
\(703\) | −0.178599 | − | 0.391077i | −0.00673599 | − | 0.0147498i | ||||
\(704\) | 0.693364 | − | 4.82246i | 0.0261322 | − | 0.181753i | ||||
\(705\) | −10.6544 | + | 12.2959i | −0.401269 | + | 0.463089i | ||||
\(706\) | 13.7308 | − | 30.0662i | 0.516765 | − | 1.13156i | ||||
\(707\) | 14.5908 | + | 9.37694i | 0.548743 | + | 0.352656i | ||||
\(708\) | −5.08995 | − | 35.4014i | −0.191292 | − | 1.33047i | ||||
\(709\) | 5.23725 | − | 3.36578i | 0.196689 | − | 0.126404i | −0.438589 | − | 0.898688i | \(-0.644522\pi\) |
0.635278 | + | 0.772283i | \(0.280885\pi\) | |||||||
\(710\) | −5.24624 | − | 6.05448i | −0.196888 | − | 0.227221i | ||||
\(711\) | 95.2682 | − | 27.9733i | 3.57284 | − | 1.04908i | ||||
\(712\) | −6.54601 | −0.245322 | ||||||||
\(713\) | 1.11252 | − | 7.95725i | 0.0416643 | − | 0.298001i | ||||
\(714\) | 12.6226 | 0.472390 | ||||||||
\(715\) | 27.3043 | − | 8.01726i | 1.02112 | − | 0.299829i | ||||
\(716\) | −3.06882 | − | 3.54161i | −0.114687 | − | 0.132356i | ||||
\(717\) | −26.1104 | + | 16.7802i | −0.975112 | + | 0.626666i | ||||
\(718\) | 2.18894 | + | 15.2244i | 0.0816905 | + | 0.568170i | ||||
\(719\) | 18.6343 | + | 11.9756i | 0.694943 | + | 0.446613i | 0.839840 | − | 0.542834i | \(-0.182649\pi\) |
−0.144897 | + | 0.989447i | \(0.546285\pi\) | |||||||
\(720\) | −2.65953 | + | 5.82356i | −0.0991148 | + | 0.217031i | ||||
\(721\) | −5.59134 | + | 6.45274i | −0.208232 | + | 0.240313i | ||||
\(722\) | −4.04742 | + | 28.1504i | −0.150629 | + | 1.04765i | ||||
\(723\) | 2.22535 | + | 4.87284i | 0.0827617 | + | 0.181223i | ||||
\(724\) | −20.4896 | − | 6.01629i | −0.761490 | − | 0.223594i | ||||
\(725\) | −3.47722 | − | 1.02100i | −0.129141 | − | 0.0379192i | ||||
\(726\) | −16.2239 | − | 35.5255i | −0.602127 | − | 1.31847i | ||||
\(727\) | −0.248356 | + | 1.72735i | −0.00921101 | + | 0.0640640i | −0.993909 | − | 0.110208i | \(-0.964848\pi\) |
0.984698 | + | 0.174272i | \(0.0557573\pi\) | |||||||
\(728\) | 3.81894 | − | 4.40730i | 0.141539 | − | 0.163345i | ||||
\(729\) | −5.87309 | + | 12.8603i | −0.217522 | + | 0.476307i | ||||
\(730\) | −9.16147 | − | 5.88772i | −0.339081 | − | 0.217914i | ||||
\(731\) | 4.60007 | + | 31.9942i | 0.170140 | + | 1.18335i | ||||
\(732\) | −1.11702 | + | 0.717868i | −0.0412864 | + | 0.0265332i | ||||
\(733\) | 18.1912 | + | 20.9937i | 0.671906 | + | 0.775421i | 0.984673 | − | 0.174409i | \(-0.0558014\pi\) |
−0.312767 | + | 0.949830i | \(0.601256\pi\) | |||||||
\(734\) | 26.0368 | − | 7.64510i | 0.961036 | − | 0.282186i | ||||
\(735\) | −18.4073 | −0.678965 | ||||||||
\(736\) | 2.00921 | + | 4.35466i | 0.0740603 | + | 0.160515i | ||||
\(737\) | 24.7109 | 0.910239 | ||||||||
\(738\) | −17.6929 | + | 5.19509i | −0.651283 | + | 0.191234i | ||||
\(739\) | 31.4094 | + | 36.2484i | 1.15541 | + | 1.33342i | 0.933595 | + | 0.358329i | \(0.116653\pi\) |
0.221817 | + | 0.975088i | \(0.428801\pi\) | |||||||
\(740\) | −0.0525112 | + | 0.0337469i | −0.00193035 | + | 0.00124056i | ||||
\(741\) | 17.5555 | + | 122.101i | 0.644916 | + | 4.48549i | ||||
\(742\) | −2.89705 | − | 1.86182i | −0.106354 | − | 0.0683495i | ||||
\(743\) | 11.9335 | − | 26.1306i | 0.437796 | − | 0.958640i | −0.554201 | − | 0.832383i | \(-0.686976\pi\) |
0.991997 | − | 0.126258i | \(-0.0402966\pi\) | |||||||
\(744\) | −3.36406 | + | 3.88234i | −0.123333 | + | 0.142333i | ||||
\(745\) | −0.669219 | + | 4.65452i | −0.0245183 | + | 0.170528i | ||||
\(746\) | −6.38520 | − | 13.9816i | −0.233779 | − | 0.511904i | ||||
\(747\) | −40.1174 | − | 11.7795i | −1.46782 | − | 0.430991i | ||||
\(748\) | −19.2741 | − | 5.65938i | −0.704731 | − | 0.206928i | ||||
\(749\) | 3.08231 | + | 6.74933i | 0.112625 | + | 0.246615i | ||||
\(750\) | −0.436378 | + | 3.03507i | −0.0159343 | + | 0.110825i | ||||
\(751\) | 21.4218 | − | 24.7221i | 0.781694 | − | 0.902123i | −0.215536 | − | 0.976496i | \(-0.569150\pi\) |
0.997231 | + | 0.0743727i | \(0.0236955\pi\) | |||||||
\(752\) | 2.20420 | − | 4.82652i | 0.0803788 | − | 0.176005i | ||||
\(753\) | −56.2282 | − | 36.1357i | −2.04907 | − | 1.31686i | ||||
\(754\) | 3.01244 | + | 20.9520i | 0.109707 | + | 0.763026i | ||||
\(755\) | −10.5440 | + | 6.77619i | −0.383734 | + | 0.246611i | ||||
\(756\) | 6.82065 | + | 7.87145i | 0.248065 | + | 0.286282i | ||||
\(757\) | −43.4869 | + | 12.7689i | −1.58056 | + | 0.464094i | −0.950053 | − | 0.312089i | \(-0.898971\pi\) |
−0.630507 | + | 0.776184i | \(0.717153\pi\) | |||||||
\(758\) | −24.9906 | −0.907698 | ||||||||
\(759\) | 60.4220 | + | 38.4998i | 2.19318 | + | 1.39745i | ||||
\(760\) | 6.88766 | 0.249842 | ||||||||
\(761\) | −22.7009 | + | 6.66558i | −0.822906 | + | 0.241627i | −0.665967 | − | 0.745981i | \(-0.731981\pi\) |
−0.156939 | + | 0.987608i | \(0.550163\pi\) | |||||||
\(762\) | 19.8437 | + | 22.9009i | 0.718863 | + | 0.829612i | ||||
\(763\) | −2.81982 | + | 1.81219i | −0.102084 | + | 0.0656056i | ||||
\(764\) | −1.31347 | − | 9.13536i | −0.0475196 | − | 0.330506i | ||||
\(765\) | 22.2060 | + | 14.2709i | 0.802860 | + | 0.515967i | ||||
\(766\) | −7.01352 | + | 15.3575i | −0.253409 | + | 0.554888i | ||||
\(767\) | −44.6147 | + | 51.4881i | −1.61094 | + | 1.85913i | ||||
\(768\) | 0.436378 | − | 3.03507i | 0.0157464 | − | 0.109519i | ||||
\(769\) | −9.18035 | − | 20.1022i | −0.331052 | − | 0.724902i | 0.668776 | − | 0.743464i | \(-0.266819\pi\) |
−0.999828 | + | 0.0185617i | \(0.994091\pi\) | |||||||
\(770\) | −4.66734 | − | 1.37046i | −0.168199 | − | 0.0493878i | ||||
\(771\) | 10.9031 | + | 3.20145i | 0.392667 | + | 0.115297i | ||||
\(772\) | 3.51890 | + | 7.70531i | 0.126648 | + | 0.277320i | ||||
\(773\) | 1.72178 | − | 11.9752i | 0.0619280 | − | 0.430719i | −0.935145 | − | 0.354265i | \(-0.884731\pi\) |
0.997073 | − | 0.0764538i | \(-0.0243598\pi\) | |||||||
\(774\) | −32.8674 | + | 37.9310i | −1.18139 | + | 1.36340i | ||||
\(775\) | −0.695961 | + | 1.52394i | −0.0249996 | + | 0.0547416i | ||||
\(776\) | −0.828826 | − | 0.532654i | −0.0297531 | − | 0.0191212i | ||||
\(777\) | 0.0271960 | + | 0.189152i | 0.000975650 | + | 0.00678579i | ||||
\(778\) | 8.66587 | − | 5.56921i | 0.310686 | − | 0.199666i | ||||
\(779\) | 12.9913 | + | 14.9928i | 0.465463 | + | 0.537173i | ||||
\(780\) | 17.1843 | − | 5.04577i | 0.615297 | − | 0.180667i | ||||
\(781\) | 39.0311 | 1.39664 | ||||||||
\(782\) | 18.9508 | − | 5.64457i | 0.677679 | − | 0.201849i | ||||
\(783\) | −37.8051 | −1.35105 | ||||||||
\(784\) | 5.75997 | − | 1.69128i | 0.205713 | − | 0.0604029i | ||||
\(785\) | −9.47523 | − | 10.9350i | −0.338186 | − | 0.390287i | ||||
\(786\) | 51.3856 | − | 33.0235i | 1.83286 | − | 1.17791i | ||||
\(787\) | −1.78710 | − | 12.4296i | −0.0637034 | − | 0.443067i | −0.996564 | − | 0.0828288i | \(-0.973605\pi\) |
0.932860 | − | 0.360238i | \(-0.117305\pi\) | |||||||
\(788\) | 15.1323 | + | 9.72494i | 0.539066 | + | 0.346437i | ||||
\(789\) | 13.0053 | − | 28.4776i | 0.463000 | − | 1.01383i | ||||
\(790\) | −10.1562 | + | 11.7209i | −0.361342 | + | 0.417011i | ||||
\(791\) | −1.40561 | + | 9.77623i | −0.0499777 | + | 0.347603i | ||||
\(792\) | −12.9574 | − | 28.3726i | −0.460420 | − | 1.00818i | ||||
\(793\) | 2.42685 | + | 0.712587i | 0.0861799 | + | 0.0253047i | ||||
\(794\) | 6.21603 | + | 1.82519i | 0.220599 | + | 0.0647736i | ||||
\(795\) | −4.39346 | − | 9.62033i | −0.155820 | − | 0.341198i | ||||
\(796\) | −0.117144 | + | 0.814757i | −0.00415207 | + | 0.0288783i | ||||
\(797\) | −30.4582 | + | 35.1507i | −1.07889 | + | 1.24510i | −0.110970 | + | 0.993824i | \(0.535396\pi\) |
−0.967915 | + | 0.251277i | \(0.919150\pi\) | |||||||
\(798\) | 8.75958 | − | 19.1808i | 0.310086 | − | 0.678993i | ||||
\(799\) | −18.4042 | − | 11.8276i | −0.651093 | − | 0.418432i | ||||
\(800\) | −0.142315 | − | 0.989821i | −0.00503159 | − | 0.0349955i | ||||
\(801\) | −35.2554 | + | 22.6573i | −1.24569 | + | 0.800556i | ||||
\(802\) | −3.64790 | − | 4.20990i | −0.128812 | − | 0.148657i | ||||
\(803\) | 50.9087 | − | 14.9481i | 1.79653 | − | 0.527508i | ||||
\(804\) | 15.5521 | 0.548482 | ||||||||
\(805\) | 4.58905 | − | 1.36687i | 0.161743 | − | 0.0481758i | ||||
\(806\) | 9.78544 | 0.344677 | ||||||||
\(807\) | 24.0972 | − | 7.07557i | 0.848261 | − | 0.249072i | ||||
\(808\) | −11.3759 | − | 13.1285i | −0.400202 | − | 0.461857i | ||||
\(809\) | 45.4478 | − | 29.2075i | 1.59786 | − | 1.02688i | 0.629606 | − | 0.776914i | \(-0.283216\pi\) |
0.968254 | − | 0.249968i | \(-0.0804202\pi\) | |||||||
\(810\) | 1.81887 | + | 12.6505i | 0.0639087 | + | 0.444495i | ||||
\(811\) | −20.0396 | − | 12.8787i | −0.703687 | − | 0.452232i | 0.139241 | − | 0.990259i | \(-0.455534\pi\) |
−0.842928 | + | 0.538026i | \(0.819170\pi\) | |||||||
\(812\) | 1.50310 | − | 3.29134i | 0.0527486 | − | 0.115503i | ||||
\(813\) | 48.1874 | − | 55.6113i | 1.69001 | − | 1.95037i | ||||
\(814\) | 0.0432800 | − | 0.301019i | 0.00151696 | − | 0.0105507i | ||||
\(815\) | 0.790814 | + | 1.73164i | 0.0277010 | + | 0.0606567i | ||||
\(816\) | −12.1304 | − | 3.56181i | −0.424649 | − | 0.124688i | ||||
\(817\) | 51.8093 | + | 15.2126i | 1.81258 | + | 0.532221i | ||||
\(818\) | −7.97295 | − | 17.4583i | −0.278768 | − | 0.610416i | ||||
\(819\) | 5.31334 | − | 36.9551i | 0.185663 | − | 1.29131i | ||||
\(820\) | 1.88618 | − | 2.17676i | 0.0658681 | − | 0.0760159i | ||||
\(821\) | −2.91277 | + | 6.37808i | −0.101656 | + | 0.222597i | −0.953626 | − | 0.300995i | \(-0.902681\pi\) |
0.851969 | + | 0.523592i | \(0.175408\pi\) | |||||||
\(822\) | 0.741524 | + | 0.476549i | 0.0258636 | + | 0.0166215i | ||||
\(823\) | −1.05854 | − | 7.36228i | −0.0368982 | − | 0.256633i | 0.963020 | − | 0.269430i | \(-0.0868354\pi\) |
−0.999918 | + | 0.0127975i | \(0.995926\pi\) | |||||||
\(824\) | 7.19411 | − | 4.62337i | 0.250619 | − | 0.161063i | ||||
\(825\) | −9.78302 | − | 11.2902i | −0.340601 | − | 0.393074i | ||||
\(826\) | 11.1740 | − | 3.28099i | 0.388794 | − | 0.114160i | ||||
\(827\) | 46.8003 | 1.62741 | 0.813703 | − | 0.581280i | \(-0.197448\pi\) | ||||
0.813703 | + | 0.581280i | \(0.197448\pi\) | |||||||
\(828\) | 25.8937 | + | 16.4990i | 0.899868 | + | 0.573379i | ||||
\(829\) | −9.21991 | −0.320221 | −0.160110 | − | 0.987099i | \(-0.551185\pi\) | ||||
−0.160110 | + | 0.987099i | \(0.551185\pi\) | |||||||
\(830\) | 6.26629 | − | 1.83995i | 0.217506 | − | 0.0638655i | ||||
\(831\) | 44.2497 | + | 51.0669i | 1.53500 | + | 1.77149i | ||||
\(832\) | −4.91365 | + | 3.15781i | −0.170350 | + | 0.109478i | ||||
\(833\) | −3.52249 | − | 24.4994i | −0.122047 | − | 0.848856i | ||||
\(834\) | 6.05248 | + | 3.88970i | 0.209580 | + | 0.134689i | ||||
\(835\) | 5.44228 | − | 11.9169i | 0.188338 | − | 0.412402i | ||||
\(836\) | −21.9752 | + | 25.3607i | −0.760027 | + | 0.877118i | ||||
\(837\) | −2.48721 | + | 17.2989i | −0.0859707 | + | 0.597939i | ||||
\(838\) | 14.0637 | + | 30.7952i | 0.485822 | + | 1.06380i | ||||
\(839\) | −12.4215 | − | 3.64728i | −0.428838 | − | 0.125918i | 0.0601890 | − | 0.998187i | \(-0.480830\pi\) |
−0.489026 | + | 0.872269i | \(0.662648\pi\) | |||||||
\(840\) | −2.93745 | − | 0.862514i | −0.101352 | − | 0.0297596i | ||||
\(841\) | −6.59117 | − | 14.4327i | −0.227282 | − | 0.497678i | ||||
\(842\) | 1.09052 | − | 7.58476i | 0.0375819 | − | 0.261388i | ||||
\(843\) | −38.2971 | + | 44.1972i | −1.31902 | + | 1.52223i | ||||
\(844\) | 9.35844 | − | 20.4921i | 0.322131 | − | 0.705368i | ||||
\(845\) | −17.7637 | − | 11.4161i | −0.611091 | − | 0.392724i | ||||
\(846\) | −4.83439 | − | 33.6239i | −0.166210 | − | 1.15601i | ||||
\(847\) | 10.6981 | − | 6.87522i | 0.367590 | − | 0.236235i | ||||
\(848\) | 2.25871 | + | 2.60669i | 0.0775645 | + | 0.0895142i | ||||
\(849\) | −61.2464 | + | 17.9836i | −2.10197 | + | 0.617195i | ||||
\(850\) | −4.12307 | −0.141420 | ||||||||
\(851\) | 0.125415 | + | 0.271819i | 0.00429917 | + | 0.00931784i | ||||
\(852\) | 24.5647 | 0.841573 | ||||||||
\(853\) | −37.0638 | + | 10.8829i | −1.26904 | + | 0.372624i | −0.845853 | − | 0.533417i | \(-0.820908\pi\) |
−0.423190 | + | 0.906041i | \(0.639090\pi\) | |||||||
\(854\) | −0.283132 | − | 0.326752i | −0.00968857 | − | 0.0111812i | ||||
\(855\) | 37.0955 | − | 23.8398i | 1.26864 | − | 0.815306i | ||||
\(856\) | −1.05762 | − | 7.35589i | −0.0361486 | − | 0.251419i | ||||
\(857\) | −4.87988 | − | 3.13611i | −0.166693 | − | 0.107127i | 0.454634 | − | 0.890678i | \(-0.349770\pi\) |
−0.621328 | + | 0.783551i | \(0.713406\pi\) | |||||||
\(858\) | −36.2480 | + | 79.3720i | −1.23749 | + | 2.70972i | ||||
\(859\) | 26.2766 | − | 30.3248i | 0.896547 | − | 1.03467i | −0.102655 | − | 0.994717i | \(-0.532734\pi\) |
0.999202 | − | 0.0399528i | \(-0.0127208\pi\) | |||||||
\(860\) | 1.11569 | − | 7.75980i | 0.0380448 | − | 0.264607i | ||||
\(861\) | −3.66306 | − | 8.02099i | −0.124837 | − | 0.273355i | ||||
\(862\) | −18.0096 | − | 5.28811i | −0.613411 | − | 0.180114i | ||||
\(863\) | 22.5940 | + | 6.63418i | 0.769107 | + | 0.225830i | 0.642669 | − | 0.766144i | \(-0.277827\pi\) |
0.126438 | + | 0.991974i | \(0.459645\pi\) | |||||||
\(864\) | −4.33354 | − | 9.48912i | −0.147430 | − | 0.322826i | ||||
\(865\) | 0.390974 | − | 2.71928i | 0.0132935 | − | 0.0924584i | ||||
\(866\) | −19.4176 | + | 22.4091i | −0.659837 | + | 0.761492i | ||||
\(867\) | 0.000364075 | 0 | 0.000797212i | 1.23646e−5 | 0 | 2.70747e-5i | ||||
\(868\) | −1.40717 | − | 0.904332i | −0.0477624 | − | 0.0306950i | ||||
\(869\) | −10.7534 | − | 74.7914i | −0.364783 | − | 2.53712i | ||||
\(870\) | 9.34824 | − | 6.00775i | 0.316935 | − | 0.203682i | ||||
\(871\) | −19.4001 | − | 22.3889i | −0.657348 | − | 0.758620i | ||||
\(872\) | 3.22121 | − | 0.945834i | 0.109084 | − | 0.0320300i | ||||
\(873\) | −6.30753 | −0.213478 | ||||||||
\(874\) | 4.57381 | − | 32.7139i | 0.154711 | − | 1.10656i | ||||
\(875\) | −0.998427 | −0.0337530 | ||||||||
\(876\) | 32.0400 | − | 9.40780i | 1.08253 | − | 0.317860i | ||||
\(877\) | −11.1407 | − | 12.8571i | −0.376195 | − | 0.434152i | 0.535806 | − | 0.844341i | \(-0.320008\pi\) |
−0.912000 | + | 0.410190i | \(0.865463\pi\) | |||||||
\(878\) | −15.9266 | + | 10.2354i | −0.537495 | + | 0.345427i | ||||
\(879\) | −4.46649 | − | 31.0651i | −0.150651 | − | 1.04780i | ||||
\(880\) | 4.09863 | + | 2.63403i | 0.138165 | + | 0.0887930i | ||||
\(881\) | 5.21083 | − | 11.4101i | 0.175557 | − | 0.384417i | −0.801314 | − | 0.598244i | \(-0.795866\pi\) |
0.976872 | + | 0.213827i | \(0.0685928\pi\) | |||||||
\(882\) | 25.1681 | − | 29.0455i | 0.847454 | − | 0.978014i | ||||
\(883\) | −2.98299 | + | 20.7471i | −0.100385 | + | 0.698196i | 0.876024 | + | 0.482268i | \(0.160187\pi\) |
−0.976409 | + | 0.215928i | \(0.930722\pi\) | |||||||
\(884\) | 10.0042 | + | 21.9061i | 0.336476 | + | 0.736781i | ||||
\(885\) | 34.3167 | + | 10.0763i | 1.15354 | + | 0.338711i | ||||
\(886\) | −18.7941 | − | 5.51844i | −0.631399 | − | 0.185396i | ||||
\(887\) | −22.2864 | − | 48.8004i | −0.748303 | − | 1.63856i | −0.769391 | − | 0.638778i | \(-0.779440\pi\) |
0.0210873 | − | 0.999778i | \(-0.493287\pi\) | |||||||
\(888\) | 0.0272388 | − | 0.189450i | 0.000914074 | − | 0.00635753i | ||||
\(889\) | −6.46141 | + | 7.45687i | −0.216709 | + | 0.250095i | ||||
\(890\) | 2.71931 | − | 5.95446i | 0.0911515 | − | 0.199594i | ||||
\(891\) | −52.3830 | − | 33.6645i | −1.75490 | − | 1.12780i | ||||
\(892\) | 0.726711 | + | 5.05439i | 0.0243321 | + | 0.169233i | ||||
\(893\) | −30.7445 | + | 19.7583i | −1.02882 | + | 0.661186i | ||||
\(894\) | −9.44234 | − | 10.8970i | −0.315799 | − | 0.364452i | ||||
\(895\) | 4.49640 | − | 1.32026i | 0.150298 | − | 0.0441315i | ||||
\(896\) | 0.998427 | 0.0333551 | ||||||||
\(897\) | −12.5542 | − | 84.9699i | −0.419172 | − | 2.83706i | ||||
\(898\) | 16.1589 | 0.539231 | ||||||||
\(899\) | 5.82552 | − | 1.71053i | 0.194292 | − | 0.0570493i | ||||
\(900\) | −4.19249 | − | 4.83839i | −0.139750 | − | 0.161280i | ||||
\(901\) | 11.9635 | − | 7.68850i | 0.398563 | − | 0.256141i | ||||
\(902\) | 1.99708 | + | 13.8900i | 0.0664954 | + | 0.462486i | ||||
\(903\) | −20.1906 | − | 12.9757i | −0.671902 | − | 0.431805i | ||||
\(904\) | 4.10942 | − | 8.99837i | 0.136677 | − | 0.299281i | ||||
\(905\) | 13.9843 | − | 16.1387i | 0.464854 | − | 0.536470i | ||||
\(906\) | 5.46940 | − | 38.0405i | 0.181709 | − | 1.26381i | ||||
\(907\) | −1.42514 | − | 3.12063i | −0.0473211 | − | 0.103619i | 0.884495 | − | 0.466550i | \(-0.154503\pi\) |
−0.931816 | + | 0.362931i | \(0.881776\pi\) | |||||||
\(908\) | 15.1535 | + | 4.44946i | 0.502886 | + | 0.147661i | ||||
\(909\) | −106.709 | − | 31.3325i | −3.53931 | − | 1.03923i | ||||
\(910\) | 2.42257 | + | 5.30469i | 0.0803074 | + | 0.175849i | ||||
\(911\) | 3.86889 | − | 26.9087i | 0.128182 | − | 0.891525i | −0.819675 | − | 0.572829i | \(-0.805846\pi\) |
0.947857 | − | 0.318696i | \(-0.103245\pi\) | |||||||
\(912\) | −13.8304 | + | 15.9611i | −0.457969 | + | 0.528524i | ||||
\(913\) | −13.2179 | + | 28.9431i | −0.437448 | + | 0.957878i | ||||
\(914\) | −30.0680 | − | 19.3235i | −0.994561 | − | 0.639165i | ||||
\(915\) | −0.188967 | − | 1.31429i | −0.00624706 | − | 0.0434492i | ||||
\(916\) | −12.8021 | + | 8.22739i | −0.422992 | + | 0.271841i | ||||
\(917\) | 13.0247 | + | 15.0313i | 0.430113 | + | 0.496377i | ||||
\(918\) | −41.2689 | + | 12.1176i | −1.36208 | + | 0.399942i | ||||
\(919\) | −19.0098 | −0.627075 | −0.313537 | − | 0.949576i | \(-0.601514\pi\) | ||||
−0.313537 | + | 0.949576i | \(0.601514\pi\) | |||||||
\(920\) | −4.79580 | + | 0.0186446i | −0.158113 | + | 0.000614693i | ||||
\(921\) | 68.4576 | 2.25575 | ||||||||
\(922\) | 0.532744 | − | 0.156428i | 0.0175450 | − | 0.00515168i | ||||
\(923\) | −30.6426 | − | 35.3635i | −1.00861 | − | 1.16400i | ||||
\(924\) | 12.5478 | − | 8.06398i | 0.412792 | − | 0.265285i | ||||
\(925\) | −0.00888332 | − | 0.0617849i | −0.000292082 | − | 0.00203147i | ||||
\(926\) | 21.4047 | + | 13.7560i | 0.703402 | + | 0.452049i | ||||
\(927\) | 22.7434 | − | 49.8011i | 0.746991 | − | 1.63568i | ||||
\(928\) | −2.37323 | + | 2.73885i | −0.0779050 | + | 0.0899072i | ||||
\(929\) | −5.02141 | + | 34.9246i | −0.164747 | + | 1.14584i | 0.724788 | + | 0.688972i | \(0.241938\pi\) |
−0.889534 | + | 0.456868i | \(0.848971\pi\) | |||||||
\(930\) | −2.13401 | − | 4.67284i | −0.0699771 | − | 0.153228i | ||||
\(931\) | −39.6727 | − | 11.6490i | −1.30022 | − | 0.381780i | ||||
\(932\) | −21.2387 | − | 6.23625i | −0.695698 | − | 0.204275i | ||||
\(933\) | 28.3348 | + | 62.0446i | 0.927640 | + | 2.03125i | ||||
\(934\) | −3.50739 | + | 24.3944i | −0.114765 | + | 0.798209i | ||||
\(935\) | 13.1547 | − | 15.1813i | 0.430205 | − | 0.496483i | ||||
\(936\) | −15.5340 | + | 34.0147i | −0.507744 | + | 1.11180i | ||||
\(937\) | −10.7450 | − | 6.90539i | −0.351024 | − | 0.225589i | 0.353232 | − | 0.935536i | \(-0.385083\pi\) |
−0.704256 | + | 0.709946i | \(0.748719\pi\) | |||||||
\(938\) | 0.720683 | + | 5.01246i | 0.0235311 | + | 0.163663i | ||||
\(939\) | −50.7286 | + | 32.6013i | −1.65547 | + | 1.06390i | ||||
\(940\) | 3.47470 | + | 4.01002i | 0.113332 | + | 0.130792i | ||||
\(941\) | 44.9982 | − | 13.2126i | 1.46690 | − | 0.430720i | 0.551808 | − | 0.833971i | \(-0.313938\pi\) |
0.915089 | + | 0.403251i | \(0.132120\pi\) | |||||||
\(942\) | 44.3663 | 1.44553 | ||||||||
\(943\) | −9.08630 | − | 10.4041i | −0.295891 | − | 0.338806i | ||||
\(944\) | −11.6641 | −0.379634 | ||||||||
\(945\) | −9.99352 | + | 2.93436i | −0.325089 | + | 0.0954548i | ||||
\(946\) | 25.0123 | + | 28.8658i | 0.813221 | + | 0.938507i | ||||
\(947\) | 31.8527 | − | 20.4705i | 1.03507 | − | 0.665201i | 0.0913095 | − | 0.995823i | \(-0.470895\pi\) |
0.943763 | + | 0.330622i | \(0.107258\pi\) | |||||||
\(948\) | −6.76778 | − | 47.0709i | −0.219807 | − | 1.52879i | ||||
\(949\) | −53.5110 | − | 34.3894i | −1.73704 | − | 1.11633i | ||||
\(950\) | −2.86124 | + | 6.26524i | −0.0928308 | + | 0.203271i | ||||
\(951\) | 17.3848 | − | 20.0632i | 0.563741 | − | 0.650592i | ||||
\(952\) | 0.585851 | − | 4.07469i | 0.0189876 | − | 0.132061i | ||||
\(953\) | 6.46417 | + | 14.1546i | 0.209395 | + | 0.458511i | 0.984966 | − | 0.172749i | \(-0.0552651\pi\) |
−0.775571 | + | 0.631261i | \(0.782538\pi\) | |||||||
\(954\) | 21.1873 | + | 6.22116i | 0.685965 | + | 0.201418i | ||||
\(955\) | 8.85545 | + | 2.60020i | 0.286556 | + | 0.0841404i | ||||
\(956\) | 4.20491 | + | 9.20747i | 0.135997 | + | 0.297791i | ||||
\(957\) | −7.70486 | + | 53.5885i | −0.249063 | + | 1.73227i | ||||
\(958\) | −6.76366 | + | 7.80568i | −0.218524 | + | 0.252190i | ||||
\(959\) | −0.119230 | + | 0.261077i | −0.00385013 | + | 0.00843061i | ||||
\(960\) | 2.57952 | + | 1.65776i | 0.0832538 | + | 0.0535039i | ||||
\(961\) | 4.01232 | + | 27.9063i | 0.129430 | + | 0.900202i | ||||
\(962\) | −0.306711 | + | 0.197111i | −0.00988877 | + | 0.00635513i | ||||
\(963\) | −31.1566 | − | 35.9566i | −1.00401 | − | 1.15869i | ||||
\(964\) | 1.67628 | − | 0.492199i | 0.0539892 | − | 0.0158527i | ||||
\(965\) | −8.47079 | −0.272685 | ||||||||
\(966\) | −6.04726 | + | 13.3791i | −0.194568 | + | 0.430464i | ||||
\(967\) | 1.27815 | 0.0411027 | 0.0205513 | − | 0.999789i | \(-0.493458\pi\) | ||||
0.0205513 | + | 0.999789i | \(0.493458\pi\) | |||||||
\(968\) | −12.2209 | + | 3.58838i | −0.392795 | + | 0.115335i | ||||
\(969\) | 57.0235 | + | 65.8087i | 1.83186 | + | 2.11408i | ||||
\(970\) | 0.828826 | − | 0.532654i | 0.0266120 | − | 0.0171025i | ||||
\(971\) | −4.12888 | − | 28.7170i | −0.132502 | − | 0.921572i | −0.942278 | − | 0.334832i | \(-0.891320\pi\) |
0.809776 | − | 0.586740i | \(-0.199589\pi\) | |||||||
\(972\) | −6.64051 | − | 4.26760i | −0.212995 | − | 0.136883i | ||||
\(973\) | −0.973179 | + | 2.13097i | −0.0311987 | + | 0.0683156i | ||||
\(974\) | 3.69840 | − | 4.26818i | 0.118504 | − | 0.136761i | ||||
\(975\) | −2.54883 | + | 17.7275i | −0.0816278 | + | 0.567734i | ||||
\(976\) | 0.179889 | + | 0.393903i | 0.00575812 | + | 0.0126085i | ||||
\(977\) | 31.6858 | + | 9.30380i | 1.01372 | + | 0.297655i | 0.746074 | − | 0.665863i | \(-0.231936\pi\) |
0.267645 | + | 0.963518i | \(0.413755\pi\) | |||||||
\(978\) | −5.60075 | − | 1.64453i | −0.179092 | − | 0.0525863i | ||||
\(979\) | 13.2486 | + | 29.0104i | 0.423427 | + | 0.927176i | ||||
\(980\) | −0.854336 | + | 5.94204i | −0.0272908 | + | 0.189811i | ||||
\(981\) | 14.0750 | − | 16.2435i | 0.449381 | − | 0.518614i | ||||
\(982\) | 3.71578 | − | 8.13642i | 0.118575 | − | 0.259644i | ||||
\(983\) | −41.5696 | − | 26.7152i | −1.32586 | − | 0.852082i | −0.330093 | − | 0.943948i | \(-0.607080\pi\) |
−0.995771 | + | 0.0918667i | \(0.970717\pi\) | |||||||
\(984\) | 1.25689 | + | 8.74184i | 0.0400681 | + | 0.278680i | ||||
\(985\) | −15.1323 | + | 9.72494i | −0.482155 | + | 0.309862i | ||||
\(986\) | 9.78499 | + | 11.2925i | 0.311618 | + | 0.359626i | ||||
\(987\) | 15.5862 | − | 4.57651i | 0.496113 | − | 0.145672i | ||||
\(988\) | 40.2300 | 1.27989 | ||||||||
\(989\) | −36.1153 | − | 10.4521i | −1.14840 | − | 0.332357i | ||||
\(990\) | 31.1913 | 0.991326 | ||||||||
\(991\) | −15.6548 | + | 4.59666i | −0.497291 | + | 0.146018i | −0.520754 | − | 0.853707i | \(-0.674349\pi\) |
0.0234629 | + | 0.999725i | \(0.492531\pi\) | |||||||
\(992\) | 1.09711 | + | 1.26614i | 0.0348334 | + | 0.0401999i | ||||
\(993\) | 49.8217 | − | 32.0185i | 1.58105 | − | 1.01608i | ||||
\(994\) | 1.13832 | + | 7.91721i | 0.0361054 | + | 0.251119i | ||||
\(995\) | −0.692466 | − | 0.445021i | −0.0219526 | − | 0.0141081i | ||||
\(996\) | −8.31885 | + | 18.2157i | −0.263593 | + | 0.577188i | ||||
\(997\) | 29.3415 | − | 33.8619i | 0.929254 | − | 1.07242i | −0.0679502 | − | 0.997689i | \(-0.521646\pi\) |
0.997204 | − | 0.0747274i | \(-0.0238087\pi\) | |||||||
\(998\) | 3.29495 | − | 22.9169i | 0.104300 | − | 0.725421i | ||||
\(999\) | −0.270500 | − | 0.592313i | −0.00855825 | − | 0.0187400i |
(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 | 230.2.g.d.101.3 | yes | 30 | |
23.8 | even | 11 | 5290.2.a.bk.1.2 | 15 | |||
23.15 | odd | 22 | 5290.2.a.bl.1.2 | 15 | |||
23.18 | even | 11 | inner | 230.2.g.d.41.3 | ✓ | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.2.g.d.41.3 | ✓ | 30 | 23.18 | even | 11 | inner | |
230.2.g.d.101.3 | yes | 30 | 1.1 | even | 1 | trivial | |
5290.2.a.bk.1.2 | 15 | 23.8 | even | 11 | |||
5290.2.a.bl.1.2 | 15 | 23.15 | odd | 22 |