Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(157,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.157");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cg (of order \(12\), degree \(4\), 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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 157.4 | ||
Character | \(\chi\) | \(=\) | 315.157 |
Dual form | 315.2.cg.e.313.4 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.33005 | + | 0.624336i | −1.64760 | + | 0.441472i | −0.958939 | − | 0.283614i | \(-0.908467\pi\) |
−0.688658 | + | 0.725086i | \(0.741800\pi\) | |||||||
\(3\) | 1.68393 | + | 0.405458i | 0.972215 | + | 0.234091i | ||||
\(4\) | 3.30730 | − | 1.90947i | 1.65365 | − | 0.954736i | ||||
\(5\) | 2.23418 | − | 0.0919089i | 0.999155 | − | 0.0411029i | ||||
\(6\) | −4.17678 | + | 0.106596i | −1.70516 | + | 0.0435176i | ||||
\(7\) | 2.03168 | + | 1.69478i | 0.767901 | + | 0.640568i | ||||
\(8\) | −3.10261 | + | 3.10261i | −1.09694 | + | 1.09694i | ||||
\(9\) | 2.67121 | + | 1.36552i | 0.890403 | + | 0.455174i | ||||
\(10\) | −5.14837 | + | 1.60903i | −1.62806 | + | 0.508820i | ||||
\(11\) | −3.53314 | −1.06528 | −0.532641 | − | 0.846341i | \(-0.678800\pi\) | ||||
−0.532641 | + | 0.846341i | \(0.678800\pi\) | |||||||
\(12\) | 6.34346 | − | 1.87444i | 1.83120 | − | 0.541103i | ||||
\(13\) | 4.63728 | − | 1.24255i | 1.28615 | − | 0.344623i | 0.449952 | − | 0.893053i | \(-0.351441\pi\) |
0.836196 | + | 0.548430i | \(0.184774\pi\) | |||||||
\(14\) | −5.79203 | − | 2.68049i | −1.54798 | − | 0.716390i | ||||
\(15\) | 3.79945 | + | 0.751098i | 0.981015 | + | 0.193933i | ||||
\(16\) | 1.47322 | − | 2.55170i | 0.368306 | − | 0.637925i | ||||
\(17\) | −0.581226 | − | 2.16916i | −0.140968 | − | 0.526100i | −0.999902 | − | 0.0140131i | \(-0.995539\pi\) |
0.858934 | − | 0.512087i | \(-0.171127\pi\) | |||||||
\(18\) | −7.07660 | − | 1.51401i | −1.66797 | − | 0.356855i | ||||
\(19\) | −3.90568 | − | 6.76484i | −0.896025 | − | 1.55196i | −0.832531 | − | 0.553978i | \(-0.813109\pi\) |
−0.0634937 | − | 0.997982i | \(-0.520224\pi\) | |||||||
\(20\) | 7.21361 | − | 4.57007i | 1.61301 | − | 1.02190i | ||||
\(21\) | 2.73403 | + | 3.67765i | 0.596614 | + | 0.802529i | ||||
\(22\) | 8.23241 | − | 2.20587i | 1.75515 | − | 0.470292i | ||||
\(23\) | −2.13247 | + | 2.13247i | −0.444650 | + | 0.444650i | −0.893571 | − | 0.448921i | \(-0.851808\pi\) |
0.448921 | + | 0.893571i | \(0.351808\pi\) | |||||||
\(24\) | −6.48253 | + | 3.96658i | −1.32324 | + | 0.809675i | ||||
\(25\) | 4.98311 | − | 0.410682i | 0.996621 | − | 0.0821363i | ||||
\(26\) | −10.0293 | + | 5.79044i | −1.96691 | + | 1.13560i | ||||
\(27\) | 3.94445 | + | 3.38250i | 0.759110 | + | 0.650962i | ||||
\(28\) | 9.95551 | + | 1.72573i | 1.88141 | + | 0.326133i | ||||
\(29\) | −1.20980 | + | 0.698481i | −0.224655 | + | 0.129705i | −0.608104 | − | 0.793858i | \(-0.708070\pi\) |
0.383449 | + | 0.923562i | \(0.374736\pi\) | |||||||
\(30\) | −9.32187 | + | 0.622038i | −1.70193 | + | 0.113568i | ||||
\(31\) | −6.06807 | + | 3.50340i | −1.08986 | + | 0.629230i | −0.933539 | − | 0.358477i | \(-0.883296\pi\) |
−0.156319 | + | 0.987707i | \(0.549963\pi\) | |||||||
\(32\) | 0.431691 | − | 1.61109i | 0.0763130 | − | 0.284804i | ||||
\(33\) | −5.94954 | − | 1.43254i | −1.03568 | − | 0.249373i | ||||
\(34\) | 2.70857 | + | 4.69139i | 0.464517 | + | 0.804567i | ||||
\(35\) | 4.69489 | + | 3.59972i | 0.793582 | + | 0.608464i | ||||
\(36\) | 11.4419 | − | 0.584402i | 1.90699 | − | 0.0974003i | ||||
\(37\) | −1.05255 | + | 3.92817i | −0.173038 | + | 0.645787i | 0.823839 | + | 0.566823i | \(0.191828\pi\) |
−0.996878 | + | 0.0789635i | \(0.974839\pi\) | |||||||
\(38\) | 13.3240 | + | 13.3240i | 2.16143 | + | 2.16143i | ||||
\(39\) | 8.31263 | − | 0.212148i | 1.33109 | − | 0.0339708i | ||||
\(40\) | −6.64662 | + | 7.21693i | −1.05092 | + | 1.14110i | ||||
\(41\) | 5.22527 | + | 3.01681i | 0.816049 | + | 0.471146i | 0.849052 | − | 0.528309i | \(-0.177174\pi\) |
−0.0330029 | + | 0.999455i | \(0.510507\pi\) | |||||||
\(42\) | −8.66652 | − | 6.86217i | −1.33727 | − | 1.05886i | ||||
\(43\) | −0.350259 | − | 0.0938517i | −0.0534140 | − | 0.0143122i | 0.232013 | − | 0.972713i | \(-0.425469\pi\) |
−0.285427 | + | 0.958400i | \(0.592135\pi\) | |||||||
\(44\) | −11.6852 | + | 6.74643i | −1.76161 | + | 1.01706i | ||||
\(45\) | 6.09346 | + | 2.80531i | 0.908359 | + | 0.418191i | ||||
\(46\) | 3.63738 | − | 6.30013i | 0.536303 | − | 0.928904i | ||||
\(47\) | 0.507123 | + | 1.89261i | 0.0739715 | + | 0.276065i | 0.992998 | − | 0.118130i | \(-0.0376900\pi\) |
−0.919027 | + | 0.394195i | \(0.871023\pi\) | |||||||
\(48\) | 3.51541 | − | 3.69954i | 0.507405 | − | 0.533983i | ||||
\(49\) | 1.25542 | + | 6.88650i | 0.179345 | + | 0.983786i | ||||
\(50\) | −11.3545 | + | 4.06804i | −1.60577 | + | 0.575308i | ||||
\(51\) | −0.0992356 | − | 3.88837i | −0.0138958 | − | 0.544481i | ||||
\(52\) | 12.9643 | − | 12.9643i | 1.79782 | − | 1.79782i | ||||
\(53\) | 1.41769 | + | 5.29088i | 0.194734 | + | 0.726758i | 0.992335 | + | 0.123573i | \(0.0394354\pi\) |
−0.797601 | + | 0.603185i | \(0.793898\pi\) | |||||||
\(54\) | −11.3026 | − | 5.41874i | −1.53809 | − | 0.737397i | ||||
\(55\) | −7.89367 | + | 0.324727i | −1.06438 | + | 0.0437862i | ||||
\(56\) | −11.5617 | + | 1.04525i | −1.54500 | + | 0.139677i | ||||
\(57\) | −3.83402 | − | 12.9751i | −0.507828 | − | 1.71859i | ||||
\(58\) | 2.38282 | − | 2.38282i | 0.312880 | − | 0.312880i | ||||
\(59\) | −6.74404 | − | 11.6810i | −0.877999 | − | 1.52074i | −0.853533 | − | 0.521039i | \(-0.825545\pi\) |
−0.0244667 | − | 0.999701i | \(-0.507789\pi\) | |||||||
\(60\) | 14.0001 | − | 4.77084i | 1.80741 | − | 0.615913i | ||||
\(61\) | −6.60161 | − | 3.81144i | −0.845250 | − | 0.488005i | 0.0137956 | − | 0.999905i | \(-0.495609\pi\) |
−0.859045 | + | 0.511900i | \(0.828942\pi\) | |||||||
\(62\) | 11.9516 | − | 11.9516i | 1.51786 | − | 1.51786i | ||||
\(63\) | 3.11276 | + | 7.30142i | 0.392172 | + | 0.919892i | ||||
\(64\) | 9.91635i | 1.23954i | ||||||||
\(65\) | 10.2463 | − | 3.20229i | 1.27090 | − | 0.397196i | ||||
\(66\) | 14.7571 | − | 0.376619i | 1.81648 | − | 0.0463586i | ||||
\(67\) | 0.0255274 | − | 0.0952697i | 0.00311867 | − | 0.0116390i | −0.964349 | − | 0.264634i | \(-0.914749\pi\) |
0.967468 | + | 0.252995i | \(0.0814156\pi\) | |||||||
\(68\) | −6.06425 | − | 6.06425i | −0.735398 | − | 0.735398i | ||||
\(69\) | −4.45554 | + | 2.72629i | −0.536384 | + | 0.328206i | ||||
\(70\) | −13.1868 | − | 5.45635i | −1.57612 | − | 0.652158i | ||||
\(71\) | 7.34762 | 0.872002 | 0.436001 | − | 0.899946i | \(-0.356394\pi\) | ||||
0.436001 | + | 0.899946i | \(0.356394\pi\) | |||||||
\(72\) | −12.5244 | + | 4.05103i | −1.47601 | + | 0.477418i | ||||
\(73\) | −4.61177 | + | 1.23572i | −0.539767 | + | 0.144630i | −0.518395 | − | 0.855142i | \(-0.673470\pi\) |
−0.0213722 | + | 0.999772i | \(0.506803\pi\) | |||||||
\(74\) | − | 9.80998i | − | 1.14039i | ||||||
\(75\) | 8.55769 | + | 1.32888i | 0.988157 | + | 0.153446i | ||||
\(76\) | −25.8345 | − | 14.9156i | −2.96343 | − | 1.71093i | ||||
\(77\) | −7.17820 | − | 5.98791i | −0.818032 | − | 0.682386i | ||||
\(78\) | −19.2364 | + | 5.68419i | −2.17810 | + | 0.643607i | ||||
\(79\) | −3.67999 | − | 2.12464i | −0.414031 | − | 0.239041i | 0.278489 | − | 0.960439i | \(-0.410166\pi\) |
−0.692520 | + | 0.721399i | \(0.743500\pi\) | |||||||
\(80\) | 3.05692 | − | 5.83635i | 0.341774 | − | 0.652524i | ||||
\(81\) | 5.27070 | + | 7.29519i | 0.585633 | + | 0.810576i | ||||
\(82\) | −14.0586 | − | 3.76700i | −1.55252 | − | 0.415996i | ||||
\(83\) | 3.26690 | − | 12.1922i | 0.358589 | − | 1.33827i | −0.517319 | − | 0.855793i | \(-0.673070\pi\) |
0.875907 | − | 0.482479i | \(-0.160264\pi\) | |||||||
\(84\) | 16.0646 | + | 6.94255i | 1.75279 | + | 0.757494i | ||||
\(85\) | −1.49793 | − | 4.79288i | −0.162473 | − | 0.519861i | ||||
\(86\) | 0.874718 | 0.0943232 | ||||||||
\(87\) | −2.32042 | + | 0.685664i | −0.248776 | + | 0.0735109i | ||||
\(88\) | 10.9619 | − | 10.9619i | 1.16855 | − | 1.16855i | ||||
\(89\) | −1.54316 | − | 2.67283i | −0.163575 | − | 0.283320i | 0.772574 | − | 0.634925i | \(-0.218969\pi\) |
−0.936148 | + | 0.351606i | \(0.885636\pi\) | |||||||
\(90\) | −15.9495 | − | 2.73216i | −1.68123 | − | 0.287995i | ||||
\(91\) | 11.5273 | + | 5.33471i | 1.20839 | + | 0.559230i | ||||
\(92\) | −2.98083 | + | 11.1246i | −0.310773 | + | 1.15982i | ||||
\(93\) | −11.6387 | + | 3.43912i | −1.20687 | + | 0.356620i | ||||
\(94\) | −2.36325 | − | 4.09326i | −0.243750 | − | 0.422188i | ||||
\(95\) | −9.34774 | − | 14.7549i | −0.959058 | − | 1.51382i | ||||
\(96\) | 1.38017 | − | 2.53793i | 0.140863 | − | 0.259026i | ||||
\(97\) | −7.99218 | − | 2.14150i | −0.811483 | − | 0.217436i | −0.170864 | − | 0.985295i | \(-0.554656\pi\) |
−0.640620 | + | 0.767858i | \(0.721322\pi\) | |||||||
\(98\) | −7.22468 | − | 15.2621i | −0.729803 | − | 1.54171i | ||||
\(99\) | −9.43775 | − | 4.82458i | −0.948530 | − | 0.484889i | ||||
\(100\) | 15.6965 | − | 10.8734i | 1.56965 | − | 1.08734i | ||||
\(101\) | 2.79019i | 0.277634i | 0.990318 | + | 0.138817i | \(0.0443300\pi\) | ||||
−0.990318 | + | 0.138817i | \(0.955670\pi\) | |||||||
\(102\) | 2.65888 | + | 8.99816i | 0.263268 | + | 0.890951i | ||||
\(103\) | 1.04589 | + | 1.04589i | 0.103055 | + | 0.103055i | 0.756754 | − | 0.653699i | \(-0.226784\pi\) |
−0.653699 | + | 0.756754i | \(0.726784\pi\) | |||||||
\(104\) | −10.5325 | + | 18.2428i | −1.03279 | + | 1.78885i | ||||
\(105\) | 6.44631 | + | 7.96524i | 0.629096 | + | 0.777328i | ||||
\(106\) | −6.60657 | − | 11.4429i | −0.641687 | − | 1.11143i | ||||
\(107\) | −1.98609 | + | 7.41220i | −0.192003 | + | 0.716565i | 0.801019 | + | 0.598638i | \(0.204291\pi\) |
−0.993022 | + | 0.117926i | \(0.962375\pi\) | |||||||
\(108\) | 19.5043 | + | 3.65513i | 1.87680 | + | 0.351715i | ||||
\(109\) | −2.36441 | − | 1.36509i | −0.226469 | − | 0.130752i | 0.382473 | − | 0.923967i | \(-0.375073\pi\) |
−0.608942 | + | 0.793215i | \(0.708406\pi\) | |||||||
\(110\) | 18.1899 | − | 5.68493i | 1.73434 | − | 0.542037i | ||||
\(111\) | −3.36512 | + | 6.18797i | −0.319403 | + | 0.587337i | ||||
\(112\) | 7.31769 | − | 2.68743i | 0.691457 | − | 0.253938i | ||||
\(113\) | 1.28455 | + | 4.79401i | 0.120840 | + | 0.450983i | 0.999657 | − | 0.0261765i | \(-0.00833319\pi\) |
−0.878817 | + | 0.477159i | \(0.841667\pi\) | |||||||
\(114\) | 17.0343 | + | 27.8389i | 1.59541 | + | 2.60735i | ||||
\(115\) | −4.56832 | + | 4.96030i | −0.425998 | + | 0.462550i | ||||
\(116\) | −2.66746 | + | 4.62017i | −0.247667 | + | 0.428972i | ||||
\(117\) | 14.0839 | + | 3.01318i | 1.30205 | + | 0.278569i | ||||
\(118\) | 23.0069 | + | 23.0069i | 2.11795 | + | 2.11795i | ||||
\(119\) | 2.49540 | − | 5.39209i | 0.228753 | − | 0.494292i | ||||
\(120\) | −14.1186 | + | 9.45785i | −1.28884 | + | 0.863379i | ||||
\(121\) | 1.48308 | 0.134826 | ||||||||
\(122\) | 17.7617 | + | 4.75924i | 1.60807 | + | 0.430881i | ||||
\(123\) | 7.57577 | + | 7.19870i | 0.683084 | + | 0.649085i | ||||
\(124\) | −13.3793 | + | 23.1736i | −1.20150 | + | 2.08105i | ||||
\(125\) | 11.0954 | − | 1.37553i | 0.992403 | − | 0.123031i | ||||
\(126\) | −11.8114 | − | 15.0693i | −1.05225 | − | 1.34248i | ||||
\(127\) | 0.846452 | + | 0.846452i | 0.0751104 | + | 0.0751104i | 0.743664 | − | 0.668554i | \(-0.233086\pi\) |
−0.668554 | + | 0.743664i | \(0.733086\pi\) | |||||||
\(128\) | −5.32775 | − | 19.8834i | −0.470911 | − | 1.75746i | ||||
\(129\) | −0.551757 | − | 0.300055i | −0.0485795 | − | 0.0264183i | ||||
\(130\) | −21.8751 | + | 13.8586i | −1.91857 | + | 1.21548i | ||||
\(131\) | − | 3.88356i | − | 0.339309i | −0.985504 | − | 0.169654i | \(-0.945735\pi\) | ||
0.985504 | − | 0.169654i | \(-0.0542651\pi\) | |||||||
\(132\) | −22.4123 | + | 6.62264i | −1.95074 | + | 0.576427i | ||||
\(133\) | 3.52986 | − | 20.3632i | 0.306077 | − | 1.76572i | ||||
\(134\) | 0.237921i | 0.0205533i | ||||||||
\(135\) | 9.12349 | + | 7.19458i | 0.785225 | + | 0.619211i | ||||
\(136\) | 8.53338 | + | 4.92675i | 0.731731 | + | 0.422465i | ||||
\(137\) | 6.25094 | + | 6.25094i | 0.534054 | + | 0.534054i | 0.921776 | − | 0.387722i | \(-0.126738\pi\) |
−0.387722 | + | 0.921776i | \(0.626738\pi\) | |||||||
\(138\) | 8.67952 | − | 9.13415i | 0.738850 | − | 0.777550i | ||||
\(139\) | 3.09360 | − | 5.35827i | 0.262395 | − | 0.454482i | −0.704483 | − | 0.709721i | \(-0.748821\pi\) |
0.966878 | + | 0.255239i | \(0.0821542\pi\) | |||||||
\(140\) | 22.4010 | + | 2.94060i | 1.89323 | + | 0.248526i | ||||
\(141\) | 0.0865837 | + | 3.39263i | 0.00729166 | + | 0.285711i | ||||
\(142\) | −17.1203 | + | 4.58738i | −1.43671 | + | 0.384965i | ||||
\(143\) | −16.3841 | + | 4.39012i | −1.37011 | + | 0.367120i | ||||
\(144\) | 7.41969 | − | 4.80440i | 0.618307 | − | 0.400366i | ||||
\(145\) | −2.63872 | + | 1.67172i | −0.219134 | + | 0.138829i | ||||
\(146\) | 9.97417 | − | 5.75859i | 0.825468 | − | 0.476584i | ||||
\(147\) | −0.678160 | + | 12.1054i | −0.0559337 | + | 0.998434i | ||||
\(148\) | 4.01963 | + | 15.0015i | 0.330411 | + | 1.23311i | ||||
\(149\) | − | 14.8052i | − | 1.21289i | −0.795125 | − | 0.606446i | \(-0.792595\pi\) | ||
0.795125 | − | 0.606446i | \(-0.207405\pi\) | |||||||
\(150\) | −20.7695 | + | 2.24651i | −1.69583 | + | 0.183426i | ||||
\(151\) | −3.59889 | −0.292873 | −0.146437 | − | 0.989220i | \(-0.546780\pi\) | ||||
−0.146437 | + | 0.989220i | \(0.546780\pi\) | |||||||
\(152\) | 33.1064 | + | 8.87084i | 2.68528 | + | 0.719520i | ||||
\(153\) | 1.40947 | − | 6.58797i | 0.113949 | − | 0.532605i | ||||
\(154\) | 20.4641 | + | 9.47054i | 1.64904 | + | 0.763158i | ||||
\(155\) | −13.2352 | + | 8.38494i | −1.06307 | + | 0.673494i | ||||
\(156\) | 27.0873 | − | 16.5744i | 2.16872 | − | 1.32701i | ||||
\(157\) | 11.2267 | + | 3.00818i | 0.895988 | + | 0.240079i | 0.677292 | − | 0.735714i | \(-0.263153\pi\) |
0.218696 | + | 0.975793i | \(0.429820\pi\) | |||||||
\(158\) | 9.90105 | + | 2.65298i | 0.787685 | + | 0.211060i | ||||
\(159\) | 0.242049 | + | 9.48426i | 0.0191957 | + | 0.752151i | ||||
\(160\) | 0.816402 | − | 3.63915i | 0.0645422 | − | 0.287700i | ||||
\(161\) | −7.94655 | + | 0.718412i | −0.626276 | + | 0.0566188i | ||||
\(162\) | −16.8357 | − | 13.7075i | −1.32273 | − | 1.07696i | ||||
\(163\) | −20.1910 | − | 5.41017i | −1.58148 | − | 0.423757i | −0.642098 | − | 0.766622i | \(-0.721936\pi\) |
−0.939385 | + | 0.342865i | \(0.888603\pi\) | |||||||
\(164\) | 23.0420 | 1.79928 | ||||||||
\(165\) | −13.4240 | − | 2.65373i | −1.04506 | − | 0.206593i | ||||
\(166\) | 30.4482i | 2.36324i | ||||||||
\(167\) | 2.46410 | + | 9.19614i | 0.190678 | + | 0.711619i | 0.993344 | + | 0.115190i | \(0.0367476\pi\) |
−0.802666 | + | 0.596429i | \(0.796586\pi\) | |||||||
\(168\) | −19.8929 | − | 2.92768i | −1.53477 | − | 0.225876i | ||||
\(169\) | 8.70205 | − | 5.02413i | 0.669389 | − | 0.386472i | ||||
\(170\) | 6.48262 | + | 10.2325i | 0.497194 | + | 0.784794i | ||||
\(171\) | −1.19535 | − | 23.4036i | −0.0914107 | − | 1.78972i | ||||
\(172\) | −1.33762 | + | 0.358414i | −0.101993 | + | 0.0273288i | ||||
\(173\) | −20.5751 | + | 5.51308i | −1.56430 | + | 0.419152i | −0.934020 | − | 0.357220i | \(-0.883725\pi\) |
−0.630275 | + | 0.776372i | \(0.717058\pi\) | |||||||
\(174\) | 4.97863 | − | 3.04636i | 0.377429 | − | 0.230944i | ||||
\(175\) | 10.8201 | + | 7.61091i | 0.817921 | + | 0.575331i | ||||
\(176\) | −5.20511 | + | 9.01551i | −0.392350 | + | 0.679570i | ||||
\(177\) | −6.62030 | − | 22.4044i | −0.497612 | − | 1.68402i | ||||
\(178\) | 5.26439 | + | 5.26439i | 0.394583 | + | 0.394583i | ||||
\(179\) | −13.6587 | − | 7.88586i | −1.02090 | − | 0.589417i | −0.106535 | − | 0.994309i | \(-0.533976\pi\) |
−0.914364 | + | 0.404892i | \(0.867309\pi\) | |||||||
\(180\) | 25.5096 | − | 2.35727i | 1.90137 | − | 0.175701i | ||||
\(181\) | − | 15.1766i | − | 1.12807i | −0.825751 | − | 0.564035i | \(-0.809248\pi\) | ||
0.825751 | − | 0.564035i | \(-0.190752\pi\) | |||||||
\(182\) | −30.1899 | − | 5.23325i | −2.23782 | − | 0.387914i | ||||
\(183\) | −9.57124 | − | 9.09486i | −0.707526 | − | 0.672311i | ||||
\(184\) | − | 13.2324i | − | 0.975505i | ||||||
\(185\) | −1.99055 | + | 8.87296i | −0.146348 | + | 0.652353i | ||||
\(186\) | 24.9715 | − | 15.2798i | 1.83100 | − | 1.12037i | ||||
\(187\) | 2.05355 | + | 7.66396i | 0.150171 | + | 0.560444i | ||||
\(188\) | 5.29109 | + | 5.29109i | 0.385893 | + | 0.385893i | ||||
\(189\) | 2.28124 | + | 13.5571i | 0.165936 | + | 0.986137i | ||||
\(190\) | 30.9927 | + | 28.5436i | 2.24845 | + | 2.07077i | ||||
\(191\) | −5.48528 | + | 9.50078i | −0.396901 | + | 0.687452i | −0.993342 | − | 0.115205i | \(-0.963248\pi\) |
0.596441 | + | 0.802657i | \(0.296581\pi\) | |||||||
\(192\) | −4.02066 | + | 16.6984i | −0.290166 | + | 1.20510i | ||||
\(193\) | −21.6410 | − | 5.79869i | −1.55775 | − | 0.417399i | −0.625802 | − | 0.779982i | \(-0.715228\pi\) |
−0.931952 | + | 0.362583i | \(0.881895\pi\) | |||||||
\(194\) | 19.9592 | 1.43299 | ||||||||
\(195\) | 18.5524 | − | 1.23798i | 1.32856 | − | 0.0886536i | ||||
\(196\) | 17.3016 | + | 20.3786i | 1.23583 | + | 1.45561i | ||||
\(197\) | −3.77623 | − | 3.77623i | −0.269045 | − | 0.269045i | 0.559670 | − | 0.828716i | \(-0.310928\pi\) |
−0.828716 | + | 0.559670i | \(0.810928\pi\) | |||||||
\(198\) | 25.0026 | + | 5.34920i | 1.77686 | + | 0.380151i | ||||
\(199\) | 6.31218 | − | 10.9330i | 0.447458 | − | 0.775021i | −0.550762 | − | 0.834663i | \(-0.685663\pi\) |
0.998220 | + | 0.0596421i | \(0.0189960\pi\) | |||||||
\(200\) | −14.1864 | + | 16.7348i | −1.00313 | + | 1.18333i | ||||
\(201\) | 0.0816142 | − | 0.150077i | 0.00575662 | − | 0.0105856i | ||||
\(202\) | −1.74201 | − | 6.50129i | −0.122568 | − | 0.457429i | ||||
\(203\) | −3.64170 | − | 0.631269i | −0.255597 | − | 0.0443064i | ||||
\(204\) | −7.75294 | − | 12.6705i | −0.542815 | − | 0.887115i | ||||
\(205\) | 11.9514 | + | 6.25984i | 0.834725 | + | 0.437206i | ||||
\(206\) | −3.08997 | − | 1.78400i | −0.215289 | − | 0.124297i | ||||
\(207\) | −8.60819 | + | 2.78433i | −0.598310 | + | 0.193524i | ||||
\(208\) | 3.66112 | − | 13.6635i | 0.253853 | − | 0.947393i | ||||
\(209\) | 13.7993 | + | 23.9011i | 0.954519 | + | 1.65328i | ||||
\(210\) | −19.9932 | − | 14.5348i | −1.37966 | − | 1.00299i | ||||
\(211\) | 2.88327 | − | 4.99397i | 0.198492 | − | 0.343799i | −0.749547 | − | 0.661951i | \(-0.769729\pi\) |
0.948040 | + | 0.318152i | \(0.103062\pi\) | |||||||
\(212\) | 14.7915 | + | 14.7915i | 1.01589 | + | 1.01589i | ||||
\(213\) | 12.3728 | + | 2.97915i | 0.847773 | + | 0.204128i | ||||
\(214\) | − | 18.5108i | − | 1.26537i | ||||||
\(215\) | −0.791167 | − | 0.177489i | −0.0539572 | − | 0.0121047i | ||||
\(216\) | −22.7326 | + | 1.74352i | −1.54676 | + | 0.118631i | ||||
\(217\) | −18.2659 | − | 3.16629i | −1.23997 | − | 0.214942i | ||||
\(218\) | 6.36148 | + | 1.70455i | 0.430854 | + | 0.115447i | ||||
\(219\) | −8.26691 | + | 0.210981i | −0.558626 | + | 0.0142568i | ||||
\(220\) | −25.4867 | + | 16.1467i | −1.71831 | + | 1.08861i | ||||
\(221\) | −5.39061 | − | 9.33681i | −0.362612 | − | 0.628062i | ||||
\(222\) | 3.97754 | − | 16.5193i | 0.266955 | − | 1.10870i | ||||
\(223\) | 1.73383 | − | 6.47073i | 0.116106 | − | 0.433312i | −0.883262 | − | 0.468880i | \(-0.844658\pi\) |
0.999367 | + | 0.0355685i | \(0.0113242\pi\) | |||||||
\(224\) | 3.60751 | − | 2.54160i | 0.241037 | − | 0.169818i | ||||
\(225\) | 13.8717 | + | 5.70752i | 0.924780 | + | 0.380502i | ||||
\(226\) | −5.98615 | − | 10.3683i | −0.398193 | − | 0.689690i | ||||
\(227\) | 1.48608 | − | 1.48608i | 0.0986347 | − | 0.0986347i | −0.656068 | − | 0.754702i | \(-0.727781\pi\) |
0.754702 | + | 0.656068i | \(0.227781\pi\) | |||||||
\(228\) | −37.4558 | − | 35.5915i | −2.48057 | − | 2.35711i | ||||
\(229\) | 5.06839 | 0.334929 | 0.167464 | − | 0.985878i | \(-0.446442\pi\) | ||||
0.167464 | + | 0.985878i | \(0.446442\pi\) | |||||||
\(230\) | 7.54753 | − | 14.4099i | 0.497669 | − | 0.950163i | ||||
\(231\) | −9.65970 | − | 12.9936i | −0.635562 | − | 0.854919i | ||||
\(232\) | 1.58643 | − | 5.92065i | 0.104155 | − | 0.388710i | ||||
\(233\) | 12.5565 | + | 3.36451i | 0.822606 | + | 0.220417i | 0.645485 | − | 0.763773i | \(-0.276655\pi\) |
0.177121 | + | 0.984189i | \(0.443322\pi\) | |||||||
\(234\) | −34.6974 | + | 1.77219i | −2.26824 | + | 0.115851i | ||||
\(235\) | 1.30695 | + | 4.18182i | 0.0852561 | + | 0.272792i | ||||
\(236\) | −44.6092 | − | 25.7551i | −2.90381 | − | 1.67652i | ||||
\(237\) | −5.33537 | − | 5.06982i | −0.346569 | − | 0.329320i | ||||
\(238\) | −2.44794 | + | 14.1218i | −0.158677 | + | 0.915382i | ||||
\(239\) | 3.43346 | + | 1.98231i | 0.222092 | + | 0.128225i | 0.606919 | − | 0.794764i | \(-0.292405\pi\) |
−0.384827 | + | 0.922989i | \(0.625739\pi\) | |||||||
\(240\) | 7.51402 | − | 8.58853i | 0.485028 | − | 0.554387i | ||||
\(241\) | 19.9052i | 1.28221i | 0.767454 | + | 0.641104i | \(0.221523\pi\) | ||||
−0.767454 | + | 0.641104i | \(0.778477\pi\) | |||||||
\(242\) | −3.45566 | + | 0.925941i | −0.222138 | + | 0.0595218i | ||||
\(243\) | 5.91757 | + | 14.4216i | 0.379612 | + | 0.925146i | ||||
\(244\) | −29.1114 | −1.86366 | ||||||||
\(245\) | 3.43776 | + | 15.2703i | 0.219630 | + | 0.975583i | ||||
\(246\) | −22.1463 | − | 12.0435i | −1.41200 | − | 0.767868i | ||||
\(247\) | −26.5174 | − | 26.5174i | −1.68726 | − | 1.68726i | ||||
\(248\) | 7.95716 | − | 29.6965i | 0.505280 | − | 1.88573i | ||||
\(249\) | 10.4447 | − | 19.2062i | 0.661903 | − | 1.21715i | ||||
\(250\) | −24.9941 | + | 10.1323i | −1.58076 | + | 0.640824i | ||||
\(251\) | 29.0281i | 1.83224i | 0.400904 | + | 0.916120i | \(0.368696\pi\) | ||||
−0.400904 | + | 0.916120i | \(0.631304\pi\) | |||||||
\(252\) | 24.2367 | + | 18.2043i | 1.52677 | + | 1.14676i | ||||
\(253\) | 7.53430 | − | 7.53430i | 0.473677 | − | 0.473677i | ||||
\(254\) | −2.50075 | − | 1.44381i | −0.156911 | − | 0.0905925i | ||||
\(255\) | −0.579086 | − | 8.67820i | −0.0362638 | − | 0.543450i | ||||
\(256\) | 14.9115 | + | 25.8276i | 0.931971 | + | 1.61422i | ||||
\(257\) | 13.2646 | − | 13.2646i | 0.827424 | − | 0.827424i | −0.159736 | − | 0.987160i | \(-0.551064\pi\) |
0.987160 | + | 0.159736i | \(0.0510644\pi\) | |||||||
\(258\) | 1.47296 | + | 0.354661i | 0.0917024 | + | 0.0220802i | ||||
\(259\) | −8.79583 | + | 6.19692i | −0.546546 | + | 0.385058i | ||||
\(260\) | 27.7729 | − | 30.1560i | 1.72240 | − | 1.87019i | ||||
\(261\) | −4.18543 | + | 0.213773i | −0.259071 | + | 0.0132322i | ||||
\(262\) | 2.42465 | + | 9.04891i | 0.149795 | + | 0.559044i | ||||
\(263\) | 9.66092 | − | 9.66092i | 0.595718 | − | 0.595718i | −0.343452 | − | 0.939170i | \(-0.611596\pi\) |
0.939170 | + | 0.343452i | \(0.111596\pi\) | |||||||
\(264\) | 22.9037 | − | 14.0145i | 1.40963 | − | 0.862532i | ||||
\(265\) | 3.65365 | + | 11.6905i | 0.224442 | + | 0.718140i | ||||
\(266\) | 4.48875 | + | 49.6513i | 0.275223 | + | 3.04431i | ||||
\(267\) | −1.51485 | − | 5.12654i | −0.0927070 | − | 0.313739i | ||||
\(268\) | −0.0974879 | − | 0.363830i | −0.00595502 | − | 0.0222244i | ||||
\(269\) | 2.09314 | − | 3.62542i | 0.127621 | − | 0.221046i | −0.795134 | − | 0.606434i | \(-0.792599\pi\) |
0.922754 | + | 0.385389i | \(0.125933\pi\) | |||||||
\(270\) | −25.7501 | − | 11.0676i | −1.56710 | − | 0.673554i | ||||
\(271\) | 25.3466 | − | 14.6339i | 1.53970 | − | 0.888946i | 0.540843 | − | 0.841124i | \(-0.318105\pi\) |
0.998856 | − | 0.0478220i | \(-0.0152280\pi\) | |||||||
\(272\) | −6.39133 | − | 1.71255i | −0.387531 | − | 0.103839i | ||||
\(273\) | 17.2481 | + | 13.6571i | 1.04390 | + | 0.826565i | ||||
\(274\) | −18.4677 | − | 10.6623i | −1.11567 | − | 0.644135i | ||||
\(275\) | −17.6060 | + | 1.45100i | −1.06168 | + | 0.0874984i | ||||
\(276\) | −9.53004 | + | 17.5244i | −0.573641 | + | 1.05484i | ||||
\(277\) | 13.8796 | + | 13.8796i | 0.833943 | + | 0.833943i | 0.988054 | − | 0.154110i | \(-0.0492511\pi\) |
−0.154110 | + | 0.988054i | \(0.549251\pi\) | |||||||
\(278\) | −3.86289 | + | 14.4165i | −0.231681 | + | 0.864644i | ||||
\(279\) | −20.9931 | + | 1.07223i | −1.25682 | + | 0.0641928i | ||||
\(280\) | −25.7349 | + | 3.39789i | −1.53796 | + | 0.203063i | ||||
\(281\) | −10.3062 | − | 17.8509i | −0.614818 | − | 1.06490i | −0.990416 | − | 0.138114i | \(-0.955896\pi\) |
0.375598 | − | 0.926783i | \(-0.377437\pi\) | |||||||
\(282\) | −2.31988 | − | 7.85095i | −0.138147 | − | 0.467517i | ||||
\(283\) | −4.45778 | + | 16.6367i | −0.264987 | + | 0.988947i | 0.697271 | + | 0.716808i | \(0.254398\pi\) |
−0.962258 | + | 0.272139i | \(0.912269\pi\) | |||||||
\(284\) | 24.3008 | − | 14.0301i | 1.44199 | − | 0.832532i | ||||
\(285\) | −9.75840 | − | 28.6362i | −0.578038 | − | 1.69626i | ||||
\(286\) | 35.4350 | − | 20.4584i | 2.09532 | − | 1.20973i | ||||
\(287\) | 5.50321 | + | 14.9849i | 0.324844 | + | 0.884529i | ||||
\(288\) | 3.35312 | − | 3.71408i | 0.197585 | − | 0.218854i | ||||
\(289\) | 10.3550 | − | 5.97845i | 0.609117 | − | 0.351674i | ||||
\(290\) | 5.10464 | − | 5.54265i | 0.299755 | − | 0.325476i | ||||
\(291\) | −12.5899 | − | 6.84662i | −0.738036 | − | 0.401356i | ||||
\(292\) | −12.8929 | + | 12.8929i | −0.754503 | + | 0.754503i | ||||
\(293\) | −6.57324 | + | 1.76129i | −0.384013 | + | 0.102896i | −0.445660 | − | 0.895202i | \(-0.647031\pi\) |
0.0616477 | + | 0.998098i | \(0.480364\pi\) | |||||||
\(294\) | −5.97767 | − | 28.6296i | −0.348625 | − | 1.66971i | ||||
\(295\) | −16.1410 | − | 25.4777i | −0.939764 | − | 1.48337i | ||||
\(296\) | −8.92191 | − | 15.4532i | −0.518575 | − | 0.898199i | ||||
\(297\) | −13.9363 | − | 11.9508i | −0.808666 | − | 0.693458i | ||||
\(298\) | 9.24344 | + | 34.4970i | 0.535458 | + | 1.99836i | ||||
\(299\) | −7.23913 | + | 12.5385i | −0.418649 | + | 0.725122i | ||||
\(300\) | 30.8403 | − | 11.9457i | 1.78057 | − | 0.689683i | ||||
\(301\) | −0.552555 | − | 0.784290i | −0.0318487 | − | 0.0452057i | ||||
\(302\) | 8.38560 | − | 2.24692i | 0.482537 | − | 0.129295i | ||||
\(303\) | −1.13130 | + | 4.69847i | −0.0649917 | + | 0.269920i | ||||
\(304\) | −23.0158 | −1.32005 | ||||||||
\(305\) | −15.0995 | − | 7.90869i | −0.864594 | − | 0.452850i | ||||
\(306\) | 0.828970 | + | 16.2303i | 0.0473891 | + | 0.927824i | ||||
\(307\) | 2.53848 | − | 2.53848i | 0.144879 | − | 0.144879i | −0.630947 | − | 0.775826i | \(-0.717334\pi\) |
0.775826 | + | 0.630947i | \(0.217334\pi\) | |||||||
\(308\) | −35.1742 | − | 6.09726i | −2.00424 | − | 0.347424i | ||||
\(309\) | 1.33714 | + | 2.18527i | 0.0760671 | + | 0.124316i | ||||
\(310\) | 25.6036 | − | 27.8005i | 1.45419 | − | 1.57896i | ||||
\(311\) | 16.0458 | − | 9.26407i | 0.909876 | − | 0.525317i | 0.0294850 | − | 0.999565i | \(-0.490613\pi\) |
0.880391 | + | 0.474248i | \(0.157280\pi\) | |||||||
\(312\) | −25.1326 | + | 26.4490i | −1.42285 | + | 1.49738i | ||||
\(313\) | 33.1934 | − | 8.89414i | 1.87620 | − | 0.502727i | 0.876426 | − | 0.481537i | \(-0.159921\pi\) |
0.999775 | − | 0.0211896i | \(-0.00674537\pi\) | |||||||
\(314\) | −28.0369 | −1.58222 | ||||||||
\(315\) | 7.62554 | + | 16.0266i | 0.429650 | + | 0.902995i | ||||
\(316\) | −16.2278 | −0.912883 | ||||||||
\(317\) | 27.7670 | − | 7.44016i | 1.55955 | − | 0.417881i | 0.627031 | − | 0.778995i | \(-0.284270\pi\) |
0.932522 | + | 0.361114i | \(0.117603\pi\) | |||||||
\(318\) | −6.48535 | − | 21.9477i | −0.363680 | − | 1.23077i | ||||
\(319\) | 4.27441 | − | 2.46783i | 0.239321 | − | 0.138172i | ||||
\(320\) | 0.911401 | + | 22.1549i | 0.0509489 | + | 1.23850i | ||||
\(321\) | −6.34977 | + | 11.6763i | −0.354410 | + | 0.651708i | ||||
\(322\) | 18.0673 | − | 6.63525i | 1.00685 | − | 0.369768i | ||||
\(323\) | −12.4040 | + | 12.4040i | −0.690175 | + | 0.690175i | ||||
\(324\) | 31.3618 | + | 14.0631i | 1.74232 | + | 0.781285i | ||||
\(325\) | 22.5977 | − | 8.09622i | 1.25350 | − | 0.449098i | ||||
\(326\) | 50.4239 | 2.79272 | ||||||||
\(327\) | −3.42800 | − | 3.25738i | −0.189569 | − | 0.180134i | ||||
\(328\) | −25.5719 | + | 6.85197i | −1.41197 | + | 0.378337i | ||||
\(329\) | −2.17725 | + | 4.70463i | −0.120036 | + | 0.259375i | ||||
\(330\) | 32.9355 | − | 2.19775i | 1.81304 | − | 0.120982i | ||||
\(331\) | −16.3862 | + | 28.3818i | −0.900668 | + | 1.56000i | −0.0740401 | + | 0.997255i | \(0.523589\pi\) |
−0.826628 | + | 0.562748i | \(0.809744\pi\) | |||||||
\(332\) | −12.4761 | − | 46.5615i | −0.684716 | − | 2.55539i | ||||
\(333\) | −8.17558 | + | 9.05567i | −0.448019 | + | 0.496248i | ||||
\(334\) | −11.4830 | − | 19.8891i | −0.628320 | − | 1.08828i | ||||
\(335\) | 0.0482767 | − | 0.215196i | 0.00263764 | − | 0.0117574i | ||||
\(336\) | 13.4121 | − | 1.55841i | 0.731689 | − | 0.0850185i | ||||
\(337\) | 2.60276 | − | 0.697408i | 0.141782 | − | 0.0379902i | −0.187230 | − | 0.982316i | \(-0.559951\pi\) |
0.329012 | + | 0.944326i | \(0.393284\pi\) | |||||||
\(338\) | −17.1395 | + | 17.1395i | −0.932266 | + | 0.932266i | ||||
\(339\) | 0.219318 | + | 8.59359i | 0.0119117 | + | 0.466740i | ||||
\(340\) | −14.1060 | − | 12.9913i | −0.765004 | − | 0.704550i | ||||
\(341\) | 21.4394 | − | 12.3780i | 1.16101 | − | 0.670307i | ||||
\(342\) | 17.3969 | + | 53.7853i | 0.940718 | + | 2.90838i | ||||
\(343\) | −9.12053 | + | 16.1188i | −0.492462 | + | 0.870334i | ||||
\(344\) | 1.37790 | − | 0.795531i | 0.0742914 | − | 0.0428922i | ||||
\(345\) | −9.70390 | + | 6.50051i | −0.522440 | + | 0.349976i | ||||
\(346\) | 44.4991 | − | 25.6915i | 2.39228 | − | 1.38119i | ||||
\(347\) | −6.79325 | + | 25.3528i | −0.364681 | + | 1.36101i | 0.503172 | + | 0.864186i | \(0.332166\pi\) |
−0.867853 | + | 0.496821i | \(0.834501\pi\) | |||||||
\(348\) | −6.36509 | + | 6.69848i | −0.341204 | + | 0.359076i | ||||
\(349\) | 13.2146 | + | 22.8884i | 0.707363 | + | 1.22519i | 0.965832 | + | 0.259169i | \(0.0834488\pi\) |
−0.258469 | + | 0.966020i | \(0.583218\pi\) | |||||||
\(350\) | −29.9631 | − | 10.9785i | −1.60160 | − | 0.586824i | ||||
\(351\) | 22.4944 | + | 10.7844i | 1.20066 | + | 0.575628i | ||||
\(352\) | −1.52523 | + | 5.69222i | −0.0812948 | + | 0.303396i | ||||
\(353\) | −1.74459 | − | 1.74459i | −0.0928554 | − | 0.0928554i | 0.659153 | − | 0.752009i | \(-0.270915\pi\) |
−0.752009 | + | 0.659153i | \(0.770915\pi\) | |||||||
\(354\) | 29.4135 | + | 48.0701i | 1.56331 | + | 2.55490i | ||||
\(355\) | 16.4159 | − | 0.675312i | 0.871265 | − | 0.0358418i | ||||
\(356\) | −10.2074 | − | 5.89324i | −0.540991 | − | 0.312341i | ||||
\(357\) | 6.38834 | − | 8.06810i | 0.338107 | − | 0.427009i | ||||
\(358\) | 36.7489 | + | 9.84685i | 1.94224 | + | 0.520422i | ||||
\(359\) | −11.5153 | + | 6.64838i | −0.607756 | + | 0.350888i | −0.772087 | − | 0.635517i | \(-0.780787\pi\) |
0.164331 | + | 0.986405i | \(0.447454\pi\) | |||||||
\(360\) | −27.6094 | + | 10.2018i | −1.45514 | + | 0.537683i | ||||
\(361\) | −21.0087 | + | 36.3881i | −1.10572 | + | 1.91516i | ||||
\(362\) | 9.47532 | + | 35.3624i | 0.498012 | + | 1.85860i | ||||
\(363\) | 2.49740 | + | 0.601327i | 0.131079 | + | 0.0315615i | ||||
\(364\) | 48.3108 | − | 4.36756i | 2.53217 | − | 0.228922i | ||||
\(365\) | −10.1899 | + | 3.18468i | −0.533366 | + | 0.166694i | ||||
\(366\) | 27.9797 | + | 15.2158i | 1.46252 | + | 0.795345i | ||||
\(367\) | −2.94363 | + | 2.94363i | −0.153656 | + | 0.153656i | −0.779749 | − | 0.626093i | \(-0.784653\pi\) |
0.626093 | + | 0.779749i | \(0.284653\pi\) | |||||||
\(368\) | 2.29981 | + | 8.58301i | 0.119886 | + | 0.447420i | ||||
\(369\) | 9.83825 | + | 15.1937i | 0.512159 | + | 0.790954i | ||||
\(370\) | −0.901625 | − | 21.9173i | −0.0468732 | − | 1.13942i | ||||
\(371\) | −6.08662 | + | 13.1520i | −0.316001 | + | 0.682819i | ||||
\(372\) | −31.9257 | + | 33.5979i | −1.65527 | + | 1.74197i | ||||
\(373\) | 14.2301 | − | 14.2301i | 0.736804 | − | 0.736804i | −0.235154 | − | 0.971958i | \(-0.575559\pi\) |
0.971958 | + | 0.235154i | \(0.0755594\pi\) | |||||||
\(374\) | −9.56978 | − | 16.5753i | −0.494841 | − | 0.857090i | ||||
\(375\) | 19.2415 | + | 2.18243i | 0.993629 | + | 0.112700i | ||||
\(376\) | −7.44542 | − | 4.29862i | −0.383968 | − | 0.221684i | ||||
\(377\) | −4.74229 | + | 4.74229i | −0.244241 | + | 0.244241i | ||||
\(378\) | −13.7796 | − | 30.1646i | −0.708748 | − | 1.55150i | ||||
\(379\) | − | 19.5146i | − | 1.00240i | −0.865332 | − | 0.501199i | \(-0.832892\pi\) | ||
0.865332 | − | 0.501199i | \(-0.167108\pi\) | |||||||
\(380\) | −59.0899 | − | 30.9496i | −3.03125 | − | 1.58768i | ||||
\(381\) | 1.08216 | + | 1.76856i | 0.0554408 | + | 0.0906062i | ||||
\(382\) | 6.84931 | − | 25.5620i | 0.350441 | − | 1.30786i | ||||
\(383\) | 1.31971 | + | 1.31971i | 0.0674341 | + | 0.0674341i | 0.740020 | − | 0.672585i | \(-0.234816\pi\) |
−0.672585 | + | 0.740020i | \(0.734816\pi\) | |||||||
\(384\) | −0.909634 | − | 35.6424i | −0.0464196 | − | 1.81887i | ||||
\(385\) | −16.5877 | − | 12.7183i | −0.845388 | − | 0.648185i | ||||
\(386\) | 54.0450 | 2.75082 | ||||||||
\(387\) | −0.807458 | − | 0.728984i | −0.0410454 | − | 0.0370563i | ||||
\(388\) | −30.5217 | + | 8.17826i | −1.54950 | + | 0.415188i | ||||
\(389\) | − | 9.82307i | − | 0.498050i | −0.968497 | − | 0.249025i | \(-0.919890\pi\) | ||
0.968497 | − | 0.249025i | \(-0.0801101\pi\) | |||||||
\(390\) | −42.4552 | + | 14.4675i | −2.14980 | + | 0.732590i | ||||
\(391\) | 5.86511 | + | 3.38622i | 0.296612 | + | 0.171249i | ||||
\(392\) | −25.2612 | − | 17.4710i | −1.27588 | − | 0.882421i | ||||
\(393\) | 1.57462 | − | 6.53963i | 0.0794292 | − | 0.329881i | ||||
\(394\) | 11.1565 | + | 6.44119i | 0.562055 | + | 0.324502i | ||||
\(395\) | −8.41702 | − | 4.40860i | −0.423506 | − | 0.221821i | ||||
\(396\) | −40.4259 | + | 2.06477i | −2.03148 | + | 0.103759i | ||||
\(397\) | −16.8524 | − | 4.51558i | −0.845796 | − | 0.226630i | −0.190203 | − | 0.981745i | \(-0.560915\pi\) |
−0.655593 | + | 0.755114i | \(0.727581\pi\) | |||||||
\(398\) | −7.88184 | + | 29.4154i | −0.395081 | + | 1.47446i | ||||
\(399\) | 14.2005 | − | 32.8590i | 0.710912 | − | 1.64501i | ||||
\(400\) | 6.29329 | − | 13.3204i | 0.314665 | − | 0.666021i | ||||
\(401\) | −30.5796 | −1.52707 | −0.763535 | − | 0.645766i | \(-0.776538\pi\) | ||||
−0.763535 | + | 0.645766i | \(0.776538\pi\) | |||||||
\(402\) | −0.0964671 | + | 0.400641i | −0.00481134 | + | 0.0199822i | ||||
\(403\) | −23.7862 | + | 23.7862i | −1.18487 | + | 1.18487i | ||||
\(404\) | 5.32779 | + | 9.22800i | 0.265067 | + | 0.459110i | ||||
\(405\) | 12.4462 | + | 15.8143i | 0.618455 | + | 0.785820i | ||||
\(406\) | 8.87949 | − | 0.802755i | 0.440682 | − | 0.0398401i | ||||
\(407\) | 3.71880 | − | 13.8788i | 0.184334 | − | 0.687945i | ||||
\(408\) | 12.3720 | + | 11.7562i | 0.612504 | + | 0.582019i | ||||
\(409\) | 3.99488 | + | 6.91934i | 0.197534 | + | 0.342139i | 0.947728 | − | 0.319078i | \(-0.103373\pi\) |
−0.750194 | + | 0.661218i | \(0.770040\pi\) | |||||||
\(410\) | −31.7557 | − | 7.12404i | −1.56830 | − | 0.351831i | ||||
\(411\) | 7.99162 | + | 13.0606i | 0.394198 | + | 0.644232i | ||||
\(412\) | 5.45618 | + | 1.46198i | 0.268807 | + | 0.0720266i | ||||
\(413\) | 6.09510 | − | 35.1618i | 0.299920 | − | 1.73020i | ||||
\(414\) | 18.3192 | − | 11.8620i | 0.900338 | − | 0.582987i | ||||
\(415\) | 6.17826 | − | 27.5399i | 0.303279 | − | 1.35188i | ||||
\(416\) | − | 8.00749i | − | 0.392599i | ||||||
\(417\) | 7.38194 | − | 7.76860i | 0.361495 | − | 0.380430i | ||||
\(418\) | −47.0755 | − | 47.0755i | −2.30254 | − | 2.30254i | ||||
\(419\) | 4.63121 | − | 8.02149i | 0.226249 | − | 0.391875i | −0.730444 | − | 0.682972i | \(-0.760687\pi\) |
0.956694 | + | 0.291097i | \(0.0940203\pi\) | |||||||
\(420\) | 36.5293 | + | 14.0344i | 1.78245 | + | 0.684809i | ||||
\(421\) | 0.889954 | + | 1.54145i | 0.0433737 | + | 0.0751255i | 0.886897 | − | 0.461967i | \(-0.152856\pi\) |
−0.843524 | + | 0.537092i | \(0.819523\pi\) | |||||||
\(422\) | −3.60026 | + | 13.4363i | −0.175258 | + | 0.654071i | ||||
\(423\) | −1.22977 | + | 5.74804i | −0.0597934 | + | 0.279479i | ||||
\(424\) | −20.8140 | − | 12.0170i | −1.01082 | − | 0.583597i | ||||
\(425\) | −3.78715 | − | 10.5705i | −0.183704 | − | 0.512743i | ||||
\(426\) | −30.6894 | + | 0.783227i | −1.48691 | + | 0.0379475i | ||||
\(427\) | −6.95277 | − | 18.9319i | −0.336468 | − | 0.916180i | ||||
\(428\) | 7.58478 | + | 28.3068i | 0.366624 | + | 1.36826i | ||||
\(429\) | −29.3697 | + | 0.749547i | −1.41798 | + | 0.0361885i | ||||
\(430\) | 1.95428 | − | 0.0803943i | 0.0942435 | − | 0.00387696i | ||||
\(431\) | 0.460713 | − | 0.797978i | 0.0221918 | − | 0.0384373i | −0.854716 | − | 0.519095i | \(-0.826269\pi\) |
0.876908 | + | 0.480658i | \(0.159602\pi\) | |||||||
\(432\) | 14.4422 | − | 5.08187i | 0.694850 | − | 0.244502i | ||||
\(433\) | 0.790736 | + | 0.790736i | 0.0380003 | + | 0.0380003i | 0.725852 | − | 0.687851i | \(-0.241446\pi\) |
−0.687851 | + | 0.725852i | \(0.741446\pi\) | |||||||
\(434\) | 44.5373 | − | 4.02642i | 2.13786 | − | 0.193274i | ||||
\(435\) | −5.12122 | + | 1.74516i | −0.245544 | + | 0.0836742i | ||||
\(436\) | −10.4264 | −0.499335 | ||||||||
\(437\) | 22.7545 | + | 6.09705i | 1.08850 | + | 0.291662i | ||||
\(438\) | 19.1306 | − | 5.65292i | 0.914096 | − | 0.270107i | ||||
\(439\) | −10.4917 | + | 18.1721i | −0.500739 | + | 0.867306i | 0.499260 | + | 0.866452i | \(0.333605\pi\) |
−1.00000 | 0.000854046i | \(0.999728\pi\) | ||||||||
\(440\) | 23.4834 | − | 25.4984i | 1.11953 | − | 1.21559i | ||||
\(441\) | −6.05019 | + | 20.1096i | −0.288104 | + | 0.957599i | ||||
\(442\) | 18.3897 | + | 18.3897i | 0.874709 | + | 0.874709i | ||||
\(443\) | 6.07017 | + | 22.6542i | 0.288402 | + | 1.07633i | 0.946317 | + | 0.323240i | \(0.104772\pi\) |
−0.657915 | + | 0.753092i | \(0.728561\pi\) | |||||||
\(444\) | 0.686291 | + | 26.8911i | 0.0325699 | + | 1.27620i | ||||
\(445\) | −3.69335 | − | 5.82975i | −0.175082 | − | 0.276357i | ||||
\(446\) | 16.1596i | 0.765180i | ||||||||
\(447\) | 6.00290 | − | 24.9309i | 0.283928 | − | 1.17919i | ||||
\(448\) | −16.8061 | + | 20.1468i | −0.794012 | + | 0.951848i | ||||
\(449\) | − | 4.25967i | − | 0.201026i | −0.994936 | − | 0.100513i | \(-0.967952\pi\) | ||
0.994936 | − | 0.100513i | \(-0.0320485\pi\) | |||||||
\(450\) | −35.8852 | − | 4.63823i | −1.69165 | − | 0.218648i | ||||
\(451\) | −18.4616 | − | 10.6588i | −0.869323 | − | 0.501904i | ||||
\(452\) | 13.4024 | + | 13.4024i | 0.630397 | + | 0.630397i | ||||
\(453\) | −6.06026 | − | 1.45920i | −0.284736 | − | 0.0685591i | ||||
\(454\) | −2.53484 | + | 4.39046i | −0.118966 | + | 0.206055i | ||||
\(455\) | 26.2444 | + | 10.8592i | 1.23035 | + | 0.509089i | ||||
\(456\) | 52.1520 | + | 28.3611i | 2.44224 | + | 1.32813i | ||||
\(457\) | 32.9499 | − | 8.82890i | 1.54133 | − | 0.412998i | 0.614636 | − | 0.788811i | \(-0.289303\pi\) |
0.926696 | + | 0.375813i | \(0.122636\pi\) | |||||||
\(458\) | −11.8096 | + | 3.16438i | −0.551827 | + | 0.147862i | ||||
\(459\) | 5.04458 | − | 10.5222i | 0.235461 | − | 0.491132i | ||||
\(460\) | −5.63725 | + | 25.1283i | −0.262838 | + | 1.17161i | ||||
\(461\) | 9.94977 | − | 5.74450i | 0.463407 | − | 0.267548i | −0.250069 | − | 0.968228i | \(-0.580453\pi\) |
0.713476 | + | 0.700680i | \(0.247120\pi\) | |||||||
\(462\) | 30.6200 | + | 24.2450i | 1.42457 | + | 1.12798i | ||||
\(463\) | −5.36665 | − | 20.0286i | −0.249410 | − | 0.930809i | −0.971116 | − | 0.238609i | \(-0.923308\pi\) |
0.721706 | − | 0.692200i | \(-0.243358\pi\) | |||||||
\(464\) | 4.11607i | 0.191084i | ||||||||
\(465\) | −25.6868 | + | 8.75330i | −1.19120 | + | 0.405925i | ||||
\(466\) | −31.3580 | −1.45263 | ||||||||
\(467\) | −0.452934 | − | 0.121363i | −0.0209593 | − | 0.00561603i | 0.248324 | − | 0.968677i | \(-0.420120\pi\) |
−0.269283 | + | 0.963061i | \(0.586787\pi\) | |||||||
\(468\) | 52.3332 | − | 16.9272i | 2.41910 | − | 0.782462i | ||||
\(469\) | 0.213325 | − | 0.150294i | 0.00985043 | − | 0.00693992i | ||||
\(470\) | −5.65612 | − | 8.92788i | −0.260898 | − | 0.411812i | ||||
\(471\) | 17.6852 | + | 9.61751i | 0.814892 | + | 0.443152i | ||||
\(472\) | 57.1657 | + | 15.3175i | 2.63127 | + | 0.705045i | ||||
\(473\) | 1.23751 | + | 0.331591i | 0.0569010 | + | 0.0152466i | ||||
\(474\) | 15.5970 | + | 8.48188i | 0.716392 | + | 0.389586i | ||||
\(475\) | −22.2406 | − | 32.1059i | −1.02047 | − | 1.47312i | ||||
\(476\) | −2.04300 | − | 22.5982i | −0.0936408 | − | 1.03579i | ||||
\(477\) | −3.43788 | + | 16.0689i | −0.157410 | + | 0.735745i | ||||
\(478\) | −9.23776 | − | 2.47525i | −0.422526 | − | 0.113215i | ||||
\(479\) | −27.2657 | −1.24580 | −0.622902 | − | 0.782300i | \(-0.714046\pi\) | ||||
−0.622902 | + | 0.782300i | \(0.714046\pi\) | |||||||
\(480\) | 2.85028 | − | 5.79704i | 0.130097 | − | 0.264597i | ||||
\(481\) | 19.5238i | 0.890211i | ||||||||
\(482\) | −12.4276 | − | 46.3803i | −0.566060 | − | 2.11256i | ||||
\(483\) | −13.6727 | − | 2.01224i | −0.622128 | − | 0.0915601i | ||||
\(484\) | 4.90500 | − | 2.83190i | 0.222955 | − | 0.128723i | ||||
\(485\) | −18.0528 | − | 4.04994i | −0.819735 | − | 0.183898i | ||||
\(486\) | −22.7922 | − | 29.9085i | −1.03387 | − | 1.35668i | ||||
\(487\) | 24.4021 | − | 6.53852i | 1.10576 | − | 0.296288i | 0.340654 | − | 0.940189i | \(-0.389351\pi\) |
0.765109 | + | 0.643900i | \(0.222685\pi\) | |||||||
\(488\) | 32.3076 | − | 8.65679i | 1.46250 | − | 0.391875i | ||||
\(489\) | −31.8066 | − | 17.2969i | −1.43834 | − | 0.782194i | ||||
\(490\) | −17.5439 | − | 33.4343i | −0.792555 | − | 1.51041i | ||||
\(491\) | −2.53792 | + | 4.39581i | −0.114535 | + | 0.198380i | −0.917594 | − | 0.397520i | \(-0.869871\pi\) |
0.803059 | + | 0.595900i | \(0.203204\pi\) | |||||||
\(492\) | 38.8011 | + | 9.34258i | 1.74929 | + | 0.421196i | ||||
\(493\) | 2.21829 | + | 2.21829i | 0.0999067 | + | 0.0999067i | ||||
\(494\) | 78.3427 | + | 45.2312i | 3.52481 | + | 2.03505i | ||||
\(495\) | −21.5290 | − | 9.91156i | −0.967658 | − | 0.445492i | ||||
\(496\) | 20.6452i | 0.926997i | ||||||||
\(497\) | 14.9280 | + | 12.4526i | 0.669612 | + | 0.558577i | ||||
\(498\) | −12.3455 | + | 51.2725i | −0.553214 | + | 2.29758i | ||||
\(499\) | 31.0864i | 1.39162i | 0.718226 | + | 0.695810i | \(0.244954\pi\) | ||||
−0.718226 | + | 0.695810i | \(0.755046\pi\) | |||||||
\(500\) | 34.0693 | − | 25.7356i | 1.52363 | − | 1.15093i | ||||
\(501\) | 0.420708 | + | 16.4847i | 0.0187958 | + | 0.736482i | ||||
\(502\) | −18.1233 | − | 67.6371i | −0.808883 | − | 3.01879i | ||||
\(503\) | 24.8977 | + | 24.8977i | 1.11013 | + | 1.11013i | 0.993132 | + | 0.117001i | \(0.0373281\pi\) |
0.117001 | + | 0.993132i | \(0.462672\pi\) | |||||||
\(504\) | −32.3111 | − | 12.9957i | −1.43925 | − | 0.578876i | ||||
\(505\) | 0.256443 | + | 6.23378i | 0.0114116 | + | 0.277399i | ||||
\(506\) | −12.8514 | + | 22.2593i | −0.571314 | + | 0.989545i | ||||
\(507\) | 16.6907 | − | 4.93194i | 0.741259 | − | 0.219035i | ||||
\(508\) | 4.41575 | + | 1.18320i | 0.195917 | + | 0.0524958i | ||||
\(509\) | 9.12565 | 0.404487 | 0.202244 | − | 0.979335i | \(-0.435177\pi\) | ||||
0.202244 | + | 0.979335i | \(0.435177\pi\) | |||||||
\(510\) | 6.76741 | + | 19.8591i | 0.299666 | + | 0.879377i | ||||
\(511\) | −11.4639 | − | 5.30537i | −0.507133 | − | 0.234696i | ||||
\(512\) | −21.7584 | − | 21.7584i | −0.961594 | − | 0.961594i | ||||
\(513\) | 7.47629 | − | 39.8945i | 0.330086 | − | 1.76139i | ||||
\(514\) | −22.6257 | + | 39.1888i | −0.997976 | + | 1.72854i | ||||
\(515\) | 2.43284 | + | 2.24058i | 0.107204 | + | 0.0987318i | ||||
\(516\) | −2.39777 | + | 0.0611939i | −0.105556 | + | 0.00269391i | ||||
\(517\) | −1.79174 | − | 6.68685i | −0.0788005 | − | 0.294087i | ||||
\(518\) | 16.6258 | − | 19.9307i | 0.730496 | − | 0.875705i | ||||
\(519\) | −36.8822 | + | 0.941276i | −1.61895 | + | 0.0413174i | ||||
\(520\) | −21.8548 | + | 41.7257i | −0.958395 | + | 1.82979i | ||||
\(521\) | −28.8357 | − | 16.6483i | −1.26331 | − | 0.729374i | −0.289599 | − | 0.957148i | \(-0.593522\pi\) |
−0.973714 | + | 0.227774i | \(0.926855\pi\) | |||||||
\(522\) | 9.61880 | − | 3.11122i | 0.421004 | − | 0.136174i | ||||
\(523\) | 7.88446 | − | 29.4252i | 0.344763 | − | 1.28667i | −0.548125 | − | 0.836396i | \(-0.684658\pi\) |
0.892888 | − | 0.450278i | \(-0.148675\pi\) | |||||||
\(524\) | −7.41556 | − | 12.8441i | −0.323950 | − | 0.561098i | ||||
\(525\) | 15.1343 | + | 17.2033i | 0.660514 | + | 0.750813i | ||||
\(526\) | −16.4788 | + | 28.5421i | −0.718510 | + | 1.24450i | ||||
\(527\) | 11.1264 | + | 11.1264i | 0.484673 | + | 0.484673i | ||||
\(528\) | −12.4204 | + | 13.0710i | −0.540530 | + | 0.568842i | ||||
\(529\) | 13.9052i | 0.604573i | ||||||||
\(530\) | −15.8120 | − | 24.9583i | −0.686828 | − | 1.08412i | ||||
\(531\) | −2.06404 | − | 40.4116i | −0.0895718 | − | 1.75371i | ||||
\(532\) | −27.2088 | − | 74.0876i | −1.17965 | − | 3.21210i | ||||
\(533\) | 27.9795 | + | 7.49710i | 1.21193 | + | 0.324735i | ||||
\(534\) | 6.73035 | + | 10.9993i | 0.291251 | + | 0.475988i | ||||
\(535\) | −3.75604 | + | 16.7427i | −0.162388 | + | 0.723851i | ||||
\(536\) | 0.216383 | + | 0.374786i | 0.00934631 | + | 0.0161883i | ||||
\(537\) | −19.8029 | − | 18.8172i | −0.854556 | − | 0.812023i | ||||
\(538\) | −2.61364 | + | 9.75424i | −0.112682 | + | 0.420535i | ||||
\(539\) | −4.43557 | − | 24.3310i | −0.191053 | − | 1.04801i | ||||
\(540\) | 43.9120 | + | 6.37359i | 1.88967 | + | 0.274276i | ||||
\(541\) | 6.20287 | + | 10.7437i | 0.266682 | + | 0.461907i | 0.968003 | − | 0.250939i | \(-0.0807392\pi\) |
−0.701321 | + | 0.712846i | \(0.747406\pi\) | |||||||
\(542\) | −49.9226 | + | 49.9226i | −2.14436 | + | 2.14436i | ||||
\(543\) | 6.15349 | − | 25.5563i | 0.264071 | − | 1.09673i | ||||
\(544\) | −3.74564 | −0.160593 | ||||||||
\(545\) | −5.40798 | − | 2.83255i | −0.231652 | − | 0.121333i | ||||
\(546\) | −48.7156 | − | 21.0531i | −2.08484 | − | 0.900991i | ||||
\(547\) | −3.33418 | + | 12.4433i | −0.142559 | + | 0.532038i | 0.857293 | + | 0.514829i | \(0.172145\pi\) |
−0.999852 | + | 0.0172089i | \(0.994522\pi\) | |||||||
\(548\) | 32.6097 | + | 8.73775i | 1.39302 | + | 0.373258i | ||||
\(549\) | −12.4297 | − | 19.1958i | −0.530485 | − | 0.819257i | ||||
\(550\) | 40.1170 | − | 14.3730i | 1.71060 | − | 0.612865i | ||||
\(551\) | 9.45022 | + | 5.45609i | 0.402593 | + | 0.232437i | ||||
\(552\) | 5.36518 | − | 22.2824i | 0.228357 | − | 0.948401i | ||||
\(553\) | −3.87573 | − | 10.5534i | −0.164813 | − | 0.448775i | ||||
\(554\) | −41.0057 | − | 23.6746i | −1.74216 | − | 1.00584i | ||||
\(555\) | −6.94955 | + | 14.1343i | −0.294992 | + | 0.599969i | ||||
\(556\) | − | 23.6285i | − | 1.00207i | ||||||
\(557\) | −14.3666 | + | 3.84952i | −0.608733 | + | 0.163109i | −0.550001 | − | 0.835164i | \(-0.685373\pi\) |
−0.0587323 | + | 0.998274i | \(0.518706\pi\) | |||||||
\(558\) | 48.2455 | − | 15.6051i | 2.04240 | − | 0.660616i | ||||
\(559\) | −1.74086 | −0.0736307 | ||||||||
\(560\) | 16.1020 | − | 6.67676i | 0.680435 | − | 0.282145i | ||||
\(561\) | 0.350613 | + | 13.7382i | 0.0148029 | + | 0.580026i | ||||
\(562\) | 35.1591 | + | 35.1591i | 1.48310 | + | 1.48310i | ||||
\(563\) | 3.85250 | − | 14.3777i | 0.162364 | − | 0.605949i | −0.835998 | − | 0.548732i | \(-0.815111\pi\) |
0.998362 | − | 0.0572169i | \(-0.0182227\pi\) | |||||||
\(564\) | 6.76449 | + | 11.0551i | 0.284836 | + | 0.465505i | ||||
\(565\) | 3.31053 | + | 10.5926i | 0.139275 | + | 0.445635i | ||||
\(566\) | − | 41.5475i | − | 1.74637i | ||||||
\(567\) | −1.65540 | + | 23.7541i | −0.0695205 | + | 0.997581i | ||||
\(568\) | −22.7968 | + | 22.7968i | −0.956531 | + | 0.956531i | ||||
\(569\) | −16.9995 | − | 9.81467i | −0.712656 | − | 0.411452i | 0.0993875 | − | 0.995049i | \(-0.468312\pi\) |
−0.812044 | + | 0.583597i | \(0.801645\pi\) | |||||||
\(570\) | 40.6162 | + | 60.6315i | 1.70123 | + | 2.53957i | ||||
\(571\) | 7.98904 | + | 13.8374i | 0.334331 | + | 0.579078i | 0.983356 | − | 0.181689i | \(-0.0581563\pi\) |
−0.649025 | + | 0.760767i | \(0.724823\pi\) | |||||||
\(572\) | −45.8045 | + | 45.8045i | −1.91518 | + | 1.91518i | ||||
\(573\) | −13.0890 | + | 13.7745i | −0.546799 | + | 0.575440i | ||||
\(574\) | −22.1784 | − | 31.4797i | −0.925707 | − | 1.31394i | ||||
\(575\) | −9.75054 | + | 11.5021i | −0.406625 | + | 0.479669i | ||||
\(576\) | −13.5410 | + | 26.4886i | −0.564208 | + | 1.10369i | ||||
\(577\) | 5.64542 | + | 21.0690i | 0.235022 | + | 0.877114i | 0.978139 | + | 0.207953i | \(0.0666800\pi\) |
−0.743117 | + | 0.669162i | \(0.766653\pi\) | |||||||
\(578\) | −20.3951 | + | 20.3951i | −0.848324 | + | 0.848324i | ||||
\(579\) | −34.0907 | − | 18.5391i | −1.41676 | − | 0.770458i | ||||
\(580\) | −5.53494 | + | 10.5675i | −0.229826 | + | 0.438790i | ||||
\(581\) | 27.3005 | − | 19.2340i | 1.13262 | − | 0.797961i | ||||
\(582\) | 33.6098 | + | 8.09263i | 1.39317 | + | 0.335450i | ||||
\(583\) | −5.00889 | − | 18.6934i | −0.207447 | − | 0.774203i | ||||
\(584\) | 10.4745 | − | 18.1425i | 0.433440 | − | 0.750740i | ||||
\(585\) | 31.7428 | + | 5.43755i | 1.31240 | + | 0.224815i | ||||
\(586\) | 14.2164 | − | 8.20782i | 0.587272 | − | 0.339062i | ||||
\(587\) | −23.2531 | − | 6.23064i | −0.959757 | − | 0.257166i | −0.255259 | − | 0.966873i | \(-0.582161\pi\) |
−0.704497 | + | 0.709707i | \(0.748828\pi\) | |||||||
\(588\) | 20.8720 | + | 41.3311i | 0.860747 | + | 1.70446i | ||||
\(589\) | 47.3999 | + | 27.3664i | 1.95308 | + | 1.12761i | ||||
\(590\) | 53.5160 | + | 49.2869i | 2.20322 | + | 2.02911i | ||||
\(591\) | −4.82779 | − | 7.89000i | −0.198589 | − | 0.324551i | ||||
\(592\) | 8.47286 | + | 8.47286i | 0.348232 | + | 0.348232i | ||||
\(593\) | −6.59321 | + | 24.6062i | −0.270751 | + | 1.01046i | 0.687885 | + | 0.725820i | \(0.258539\pi\) |
−0.958636 | + | 0.284636i | \(0.908127\pi\) | |||||||
\(594\) | 39.9337 | + | 19.1452i | 1.63850 | + | 0.785536i | ||||
\(595\) | 5.07959 | − | 12.2762i | 0.208243 | − | 0.503277i | ||||
\(596\) | −28.2702 | − | 48.9654i | −1.15799 | − | 2.00570i | ||||
\(597\) | 15.0621 | − | 15.8510i | 0.616451 | − | 0.648740i | ||||
\(598\) | 9.03929 | − | 33.7351i | 0.369644 | − | 1.37953i | ||||
\(599\) | −30.9915 | + | 17.8929i | −1.26628 | + | 0.731085i | −0.974281 | − | 0.225335i | \(-0.927652\pi\) |
−0.291995 | + | 0.956420i | \(0.594319\pi\) | |||||||
\(600\) | −30.6741 | + | 22.4281i | −1.25227 | + | 0.915625i | ||||
\(601\) | −4.50002 | + | 2.59809i | −0.183560 | + | 0.105978i | −0.588964 | − | 0.808159i | \(-0.700464\pi\) |
0.405404 | + | 0.914137i | \(0.367131\pi\) | |||||||
\(602\) | 1.77714 | + | 1.48246i | 0.0724309 | + | 0.0604204i | ||||
\(603\) | 0.198282 | − | 0.219627i | 0.00807466 | − | 0.00894390i | ||||
\(604\) | −11.9026 | + | 6.87198i | −0.484311 | + | 0.279617i | ||||
\(605\) | 3.31347 | − | 0.136308i | 0.134712 | − | 0.00554172i | ||||
\(606\) | −0.297423 | − | 11.6540i | −0.0120820 | − | 0.473411i | ||||
\(607\) | 10.3735 | − | 10.3735i | 0.421048 | − | 0.421048i | −0.464516 | − | 0.885565i | \(-0.653772\pi\) |
0.885565 | + | 0.464516i | \(0.153772\pi\) | |||||||
\(608\) | −12.5848 | + | 3.37210i | −0.510383 | + | 0.136757i | ||||
\(609\) | −5.87640 | − | 2.53957i | −0.238124 | − | 0.102908i | ||||
\(610\) | 40.1203 | + | 9.00053i | 1.62442 | + | 0.364421i | ||||
\(611\) | 4.70334 | + | 8.14642i | 0.190277 | + | 0.329569i | ||||
\(612\) | −7.91800 | − | 24.4797i | −0.320066 | − | 0.989535i | ||||
\(613\) | −6.23392 | − | 23.2653i | −0.251785 | − | 0.939676i | −0.969851 | − | 0.243700i | \(-0.921639\pi\) |
0.718065 | − | 0.695976i | \(-0.245028\pi\) | |||||||
\(614\) | −4.32993 | + | 7.49965i | −0.174742 | + | 0.302661i | ||||
\(615\) | 17.5872 | + | 15.3869i | 0.709186 | + | 0.620460i | ||||
\(616\) | 40.8492 | − | 3.69300i | 1.64586 | − | 0.148795i | ||||
\(617\) | −22.9808 | + | 6.15769i | −0.925173 | + | 0.247899i | −0.689795 | − | 0.724005i | \(-0.742299\pi\) |
−0.235378 | + | 0.971904i | \(0.575633\pi\) | |||||||
\(618\) | −4.47995 | − | 4.25697i | −0.180210 | − | 0.171240i | ||||
\(619\) | 42.8662 | 1.72294 | 0.861469 | − | 0.507811i | \(-0.169545\pi\) | ||||
0.861469 | + | 0.507811i | \(0.169545\pi\) | |||||||
\(620\) | −27.7619 | + | 53.0037i | −1.11494 | + | 2.12868i | ||||
\(621\) | −15.6245 | + | 1.19834i | −0.626988 | + | 0.0480879i | ||||
\(622\) | −31.6038 | + | 31.6038i | −1.26720 | + | 1.26720i | ||||
\(623\) | 1.39467 | − | 8.04565i | 0.0558763 | − | 0.322342i | ||||
\(624\) | 11.7050 | − | 21.5239i | 0.468576 | − | 0.861644i | ||||
\(625\) | 24.6627 | − | 4.09294i | 0.986507 | − | 0.163718i | ||||
\(626\) | −71.7894 | + | 41.4477i | −2.86928 | + | 1.65658i | ||||
\(627\) | 13.5461 | + | 45.8428i | 0.540980 | + | 1.83078i | ||||
\(628\) | 42.8741 | − | 11.4881i | 1.71086 | − | 0.458425i | ||||
\(629\) | 9.13261 | 0.364141 | ||||||||
\(630\) | −27.7739 | − | 32.5819i | −1.10654 | − | 1.29809i | ||||
\(631\) | −45.2932 | −1.80309 | −0.901547 | − | 0.432682i | \(-0.857567\pi\) | ||||
−0.901547 | + | 0.432682i | \(0.857567\pi\) | |||||||
\(632\) | 18.0095 | − | 4.82562i | 0.716378 | − | 0.191953i | ||||
\(633\) | 6.88005 | − | 7.24042i | 0.273458 | − | 0.287781i | ||||
\(634\) | −60.0535 | + | 34.6719i | −2.38503 | + | 1.37700i | ||||
\(635\) | 1.96892 | + | 1.81333i | 0.0781342 | + | 0.0719597i | ||||
\(636\) | 18.9105 | + | 30.9051i | 0.749849 | + | 1.22547i | ||||
\(637\) | 14.3786 | + | 30.3747i | 0.569700 | + | 1.20349i | ||||
\(638\) | −8.41884 | + | 8.41884i | −0.333305 | + | 0.333305i | ||||
\(639\) | 19.6270 | + | 10.0333i | 0.776433 | + | 0.396913i | ||||
\(640\) | −13.7306 | − | 43.9335i | −0.542750 | − | 1.73662i | ||||
\(641\) | 49.9551 | 1.97311 | 0.986554 | − | 0.163437i | \(-0.0522579\pi\) | ||||
0.986554 | + | 0.163437i | \(0.0522579\pi\) | |||||||
\(642\) | 7.50536 | − | 31.1708i | 0.296213 | − | 1.23021i | ||||
\(643\) | 41.1492 | − | 11.0259i | 1.62277 | − | 0.434819i | 0.670953 | − | 0.741499i | \(-0.265885\pi\) |
0.951812 | + | 0.306681i | \(0.0992183\pi\) | |||||||
\(644\) | −24.9099 | + | 17.5497i | −0.981586 | + | 0.691556i | ||||
\(645\) | −1.26030 | − | 0.619664i | −0.0496243 | − | 0.0243992i | ||||
\(646\) | 21.1577 | − | 36.6461i | 0.832437 | − | 1.44182i | ||||
\(647\) | 12.2948 | + | 45.8847i | 0.483357 | + | 1.80391i | 0.587348 | + | 0.809334i | \(0.300172\pi\) |
−0.103991 | + | 0.994578i | \(0.533161\pi\) | |||||||
\(648\) | −38.9870 | − | 6.28118i | −1.53155 | − | 0.246748i | ||||
\(649\) | 23.8276 | + | 41.2707i | 0.935317 | + | 1.62002i | ||||
\(650\) | −47.5992 | + | 32.9732i | −1.86699 | + | 1.29332i | ||||
\(651\) | −29.4746 | − | 12.7378i | −1.15520 | − | 0.499235i | ||||
\(652\) | −77.1084 | + | 20.6611i | −3.01980 | + | 0.809152i | ||||
\(653\) | 24.6958 | − | 24.6958i | 0.966423 | − | 0.966423i | −0.0330314 | − | 0.999454i | \(-0.510516\pi\) |
0.999454 | + | 0.0330314i | \(0.0105161\pi\) | |||||||
\(654\) | 10.0211 | + | 5.44965i | 0.391857 | + | 0.213098i | ||||
\(655\) | −0.356934 | − | 8.67658i | −0.0139466 | − | 0.339022i | ||||
\(656\) | 15.3960 | − | 8.88887i | 0.601112 | − | 0.347052i | ||||
\(657\) | −14.0064 | − | 2.99661i | −0.546442 | − | 0.116909i | ||||
\(658\) | 2.13584 | − | 12.3214i | 0.0832639 | − | 0.480337i | ||||
\(659\) | 1.95322 | − | 1.12769i | 0.0760865 | − | 0.0439285i | −0.461474 | − | 0.887154i | \(-0.652679\pi\) |
0.537561 | + | 0.843225i | \(0.319346\pi\) | |||||||
\(660\) | −49.4645 | + | 16.8561i | −1.92540 | + | 0.656121i | ||||
\(661\) | 3.38750 | − | 1.95578i | 0.131759 | − | 0.0760709i | −0.432672 | − | 0.901551i | \(-0.642429\pi\) |
0.564430 | + | 0.825481i | \(0.309096\pi\) | |||||||
\(662\) | 20.4610 | − | 76.3616i | 0.795240 | − | 2.96788i | ||||
\(663\) | −5.29170 | − | 17.9082i | −0.205513 | − | 0.695495i | ||||
\(664\) | 27.6918 | + | 47.9636i | 1.07465 | + | 1.86135i | ||||
\(665\) | 6.01477 | − | 45.8196i | 0.233243 | − | 1.77681i | ||||
\(666\) | 13.3957 | − | 26.2045i | 0.519075 | − | 1.01540i | ||||
\(667\) | 1.09038 | − | 4.06935i | 0.0422197 | − | 0.157566i | ||||
\(668\) | 25.7093 | + | 25.7093i | 0.994723 | + | 0.994723i | ||||
\(669\) | 5.54324 | − | 10.1932i | 0.214314 | − | 0.394093i | ||||
\(670\) | 0.0218671 | + | 0.531558i | 0.000844799 | + | 0.0205359i | ||||
\(671\) | 23.3244 | + | 13.4664i | 0.900429 | + | 0.519863i | ||||
\(672\) | 7.10529 | − | 2.81717i | 0.274093 | − | 0.108675i | ||||
\(673\) | −25.5236 | − | 6.83904i | −0.983864 | − | 0.263626i | −0.269193 | − | 0.963086i | \(-0.586757\pi\) |
−0.714671 | + | 0.699461i | \(0.753424\pi\) | |||||||
\(674\) | −5.62916 | + | 3.25000i | −0.216827 | + | 0.125185i | ||||
\(675\) | 21.0447 | + | 15.2354i | 0.810013 | + | 0.586412i | ||||
\(676\) | 19.1869 | − | 33.2326i | 0.737957 | − | 1.27818i | ||||
\(677\) | −0.176770 | − | 0.659715i | −0.00679382 | − | 0.0253549i | 0.962446 | − | 0.271474i | \(-0.0875112\pi\) |
−0.969240 | + | 0.246119i | \(0.920844\pi\) | |||||||
\(678\) | −5.87631 | − | 19.8866i | −0.225678 | − | 0.763740i | ||||
\(679\) | −12.6081 | − | 17.8959i | −0.483856 | − | 0.686780i | ||||
\(680\) | 19.5179 | + | 10.2229i | 0.748477 | + | 0.392032i | ||||
\(681\) | 3.10499 | − | 1.89991i | 0.118984 | − | 0.0728046i | ||||
\(682\) | −42.2268 | + | 42.2268i | −1.61695 | + | 1.61695i | ||||
\(683\) | −3.57453 | − | 13.3403i | −0.136776 | − | 0.510453i | −0.999984 | − | 0.00560610i | \(-0.998216\pi\) |
0.863209 | − | 0.504847i | \(-0.168451\pi\) | |||||||
\(684\) | −48.6419 | − | 75.1203i | −1.85987 | − | 2.87229i | ||||
\(685\) | 14.5402 | + | 13.3912i | 0.555554 | + | 0.511651i | ||||
\(686\) | 11.1878 | − | 43.2520i | 0.427151 | − | 1.65137i | ||||
\(687\) | 8.53479 | + | 2.05502i | 0.325623 | + | 0.0784039i | ||||
\(688\) | −0.755491 | + | 0.755491i | −0.0288028 | + | 0.0288028i | ||||
\(689\) | 13.1484 | + | 22.7737i | 0.500915 | + | 0.867610i | ||||
\(690\) | 18.5521 | − | 21.2050i | 0.706266 | − | 0.807262i | ||||
\(691\) | 28.1708 | + | 16.2644i | 1.07167 | + | 0.618728i | 0.928637 | − | 0.370991i | \(-0.120982\pi\) |
0.143031 | + | 0.989718i | \(0.454315\pi\) | |||||||
\(692\) | −57.5210 | + | 57.5210i | −2.18662 | + | 2.18662i | ||||
\(693\) | −10.9978 | − | 25.7969i | −0.417773 | − | 0.979944i | ||||
\(694\) | − | 63.3145i | − | 2.40339i | ||||||
\(695\) | 6.41917 | − | 12.2557i | 0.243493 | − | 0.464883i | ||||
\(696\) | 5.07201 | − | 9.32671i | 0.192254 | − | 0.353528i | ||||
\(697\) | 3.50689 | − | 13.0879i | 0.132833 | − | 0.495740i | ||||
\(698\) | −45.0809 | − | 45.0809i | −1.70634 | − | 1.70634i | ||||
\(699\) | 19.7801 | + | 10.7567i | 0.748152 | + | 0.406857i | ||||
\(700\) | 50.3181 | + | 4.51096i | 1.90185 | + | 0.170498i | ||||
\(701\) | −2.56195 | −0.0967637 | −0.0483819 | − | 0.998829i | \(-0.515406\pi\) | ||||
−0.0483819 | + | 0.998829i | \(0.515406\pi\) | |||||||
\(702\) | −59.1463 | − | 11.0841i | −2.23233 | − | 0.418343i | ||||
\(703\) | 30.6843 | − | 8.22184i | 1.15728 | − | 0.310093i | ||||
\(704\) | − | 35.0359i | − | 1.32046i | ||||||
\(705\) | 0.505256 | + | 7.57178i | 0.0190290 | + | 0.285170i | ||||
\(706\) | 5.15421 | + | 2.97579i | 0.193981 | + | 0.111995i | ||||
\(707\) | −4.72876 | + | 5.66876i | −0.177843 | + | 0.213196i | ||||
\(708\) | −64.6759 | − | 61.4568i | −2.43067 | − | 2.30969i | ||||
\(709\) | −39.6872 | − | 22.9134i | −1.49048 | − | 0.860531i | −0.490543 | − | 0.871417i | \(-0.663201\pi\) |
−0.999941 | + | 0.0108860i | \(0.996535\pi\) | |||||||
\(710\) | −37.8283 | + | 11.8225i | −1.41967 | + | 0.443692i | ||||
\(711\) | −6.92876 | − | 10.7005i | −0.259849 | − | 0.401298i | ||||
\(712\) | 13.0806 | + | 3.50493i | 0.490215 | + | 0.131353i | ||||
\(713\) | 5.46907 | − | 20.4108i | 0.204818 | − | 0.764392i | ||||
\(714\) | −9.84796 | + | 22.7876i | −0.368551 | + | 0.852803i | ||||
\(715\) | −36.2016 | + | 11.3142i | −1.35386 | + | 0.423125i | ||||
\(716\) | −60.2313 | −2.25095 | ||||||||
\(717\) | 4.97794 | + | 4.73018i | 0.185905 | + | 0.176652i | ||||
\(718\) | 22.6805 | − | 22.6805i | 0.846430 | − | 0.846430i | ||||
\(719\) | 5.37543 | + | 9.31052i | 0.200470 | + | 0.347224i | 0.948680 | − | 0.316238i | \(-0.102420\pi\) |
−0.748210 | + | 0.663462i | \(0.769086\pi\) | |||||||
\(720\) | 16.1353 | − | 11.4158i | 0.601329 | − | 0.425442i | ||||
\(721\) | 0.352353 | + | 3.89747i | 0.0131223 | + | 0.145150i | ||||
\(722\) | 26.2330 | − | 97.9028i | 0.976290 | − | 3.64356i | ||||
\(723\) | −8.07074 | + | 33.5189i | −0.300154 | + | 1.24658i | ||||
\(724\) | −28.9794 | − | 50.1937i | −1.07701 | − | 1.86543i | ||||
\(725\) | −5.74173 | + | 3.97745i | −0.213242 | + | 0.147719i | ||||
\(726\) | −6.19450 | + | 0.158091i | −0.229900 | + | 0.00586729i | ||||
\(727\) | −13.1935 | − | 3.53520i | −0.489321 | − | 0.131113i | 0.00571824 | − | 0.999984i | \(-0.498180\pi\) |
−0.495040 | + | 0.868870i | \(0.664846\pi\) | |||||||
\(728\) | −52.3162 | + | 19.2132i | −1.93897 | + | 0.712088i | ||||
\(729\) | 4.11740 | + | 26.6842i | 0.152496 | + | 0.988304i | ||||
\(730\) | 21.7548 | − | 13.7824i | 0.805181 | − | 0.510110i | ||||
\(731\) | 0.814319i | 0.0301187i | ||||||||
\(732\) | −49.0214 | − | 11.8034i | −1.81188 | − | 0.436268i | ||||
\(733\) | −10.7336 | − | 10.7336i | −0.396453 | − | 0.396453i | 0.480527 | − | 0.876980i | \(-0.340445\pi\) |
−0.876980 | + | 0.480527i | \(0.840445\pi\) | |||||||
\(734\) | 5.02100 | − | 8.69662i | 0.185328 | − | 0.320998i | ||||
\(735\) | −0.402538 | + | 27.1079i | −0.0148478 | + | 0.999890i | ||||
\(736\) | 2.51504 | + | 4.35617i | 0.0927054 | + | 0.160571i | ||||
\(737\) | −0.0901920 | + | 0.336601i | −0.00332227 | + | 0.0123989i | ||||
\(738\) | −32.4096 | − | 29.2598i | −1.19302 | − | 1.07707i | ||||
\(739\) | −4.34092 | − | 2.50623i | −0.159683 | − | 0.0921933i | 0.418029 | − | 0.908434i | \(-0.362721\pi\) |
−0.577712 | + | 0.816240i | \(0.696054\pi\) | |||||||
\(740\) | 10.3593 | + | 33.1465i | 0.380817 | + | 1.21849i | ||||
\(741\) | −33.9016 | − | 55.4050i | −1.24541 | − | 2.03535i | ||||
\(742\) | 5.97086 | − | 34.4450i | 0.219197 | − | 1.26452i | ||||
\(743\) | 10.0173 | + | 37.3849i | 0.367498 | + | 1.37152i | 0.864003 | + | 0.503487i | \(0.167950\pi\) |
−0.496505 | + | 0.868034i | \(0.665384\pi\) | |||||||
\(744\) | 25.4399 | − | 46.7804i | 0.932674 | − | 1.71505i | ||||
\(745\) | −1.36073 | − | 33.0775i | −0.0498534 | − | 1.21187i | ||||
\(746\) | −24.2725 | + | 42.0411i | −0.888678 | + | 1.53923i | ||||
\(747\) | 25.3753 | − | 28.1070i | 0.928435 | − | 1.02838i | ||||
\(748\) | 21.4258 | + | 21.4258i | 0.783407 | + | 0.783407i | ||||
\(749\) | −16.5972 | + | 11.6932i | −0.606448 | + | 0.427260i | ||||
\(750\) | −46.1964 | + | 6.92800i | −1.68685 | + | 0.252975i | ||||
\(751\) | 8.18445 | 0.298655 | 0.149327 | − | 0.988788i | \(-0.452289\pi\) | ||||
0.149327 | + | 0.988788i | \(0.452289\pi\) | |||||||
\(752\) | 5.57647 | + | 1.49421i | 0.203353 | + | 0.0544883i | ||||
\(753\) | −11.7697 | + | 48.8812i | −0.428911 | + | 1.78133i | ||||
\(754\) | 8.08901 | − | 14.0106i | 0.294584 | − | 0.510235i | ||||
\(755\) | −8.04056 | + | 0.330770i | −0.292626 | + | 0.0120379i | ||||
\(756\) | 33.4317 | + | 40.4816i | 1.21590 | + | 1.47230i | ||||
\(757\) | 12.0135 | + | 12.0135i | 0.436639 | + | 0.436639i | 0.890879 | − | 0.454240i | \(-0.150089\pi\) |
−0.454240 | + | 0.890879i | \(0.650089\pi\) | |||||||
\(758\) | 12.1837 | + | 45.4701i | 0.442531 | + | 1.65155i | ||||
\(759\) | 15.7420 | − | 9.63235i | 0.571400 | − | 0.349632i | ||||
\(760\) | 74.7809 | + | 16.7763i | 2.71259 | + | 0.608539i | ||||
\(761\) | − | 19.8139i | − | 0.718252i | −0.933289 | − | 0.359126i | \(-0.883075\pi\) | ||
0.933289 | − | 0.359126i | \(-0.116925\pi\) | |||||||
\(762\) | −3.62567 | − | 3.44521i | −0.131344 | − | 0.124807i | ||||
\(763\) | −2.49018 | − | 6.78059i | −0.0901505 | − | 0.245474i | ||||
\(764\) | 41.8959i | 1.51574i | ||||||||
\(765\) | 2.54351 | − | 14.8482i | 0.0919607 | − | 0.536839i | ||||
\(766\) | −3.89894 | − | 2.25106i | −0.140875 | − | 0.0813340i | ||||
\(767\) | −45.7883 | − | 45.7883i | −1.65332 | − | 1.65332i | ||||
\(768\) | 14.6379 | + | 49.5377i | 0.528201 | + | 1.78754i | ||||
\(769\) | −7.10163 | + | 12.3004i | −0.256091 | + | 0.443563i | −0.965191 | − | 0.261545i | \(-0.915768\pi\) |
0.709100 | + | 0.705108i | \(0.249101\pi\) | |||||||
\(770\) | 46.5908 | + | 19.2780i | 1.67901 | + | 0.694733i | ||||
\(771\) | 27.7148 | − | 16.9584i | 0.998126 | − | 0.610741i | ||||
\(772\) | −82.6458 | + | 22.1449i | −2.97449 | + | 0.797012i | ||||
\(773\) | −25.2515 | + | 6.76611i | −0.908232 | + | 0.243360i | −0.682548 | − | 0.730840i | \(-0.739128\pi\) |
−0.225684 | + | 0.974201i | \(0.572462\pi\) | |||||||
\(774\) | 2.33655 | + | 1.19445i | 0.0839856 | + | 0.0429335i | ||||
\(775\) | −28.7991 | + | 19.9499i | −1.03449 | + | 0.716621i | ||||
\(776\) | 31.4408 | − | 18.1524i | 1.12866 | − | 0.651632i | ||||
\(777\) | −17.3241 | + | 6.86881i | −0.621499 | + | 0.246417i | ||||
\(778\) | 6.13290 | + | 22.8883i | 0.219875 | + | 0.820585i | ||||
\(779\) | − | 47.1308i | − | 1.68864i | ||||||
\(780\) | 58.9945 | − | 39.5197i | 2.11234 | − | 1.41503i | ||||
\(781\) | −25.9602 | −0.928928 | ||||||||
\(782\) | −15.7802 | − | 4.22828i | −0.564298 | − | 0.151203i | ||||
\(783\) | −7.13462 | − | 1.33704i | −0.254971 | − | 0.0477818i | ||||
\(784\) | 19.4218 | + | 6.94192i | 0.693636 | + | 0.247926i | ||||
\(785\) | 25.3589 | + | 5.68899i | 0.905099 | + | 0.203049i | ||||
\(786\) | 0.413973 | + | 16.2208i | 0.0147659 | + | 0.578576i | ||||
\(787\) | −1.22894 | − | 0.329292i | −0.0438068 | − | 0.0117380i | 0.236849 | − | 0.971546i | \(-0.423885\pi\) |
−0.280656 | + | 0.959808i | \(0.590552\pi\) | |||||||
\(788\) | −19.6998 | − | 5.27853i | −0.701775 | − | 0.188040i | ||||
\(789\) | 20.1854 | − | 12.3512i | 0.718618 | − | 0.439713i | ||||
\(790\) | 22.3645 | + | 5.01723i | 0.795695 | + | 0.178505i | ||||
\(791\) | −5.51502 | + | 11.9169i | −0.196091 | + | 0.423717i | ||||
\(792\) | 44.2504 | − | 14.3128i | 1.57237 | − | 0.508585i | ||||
\(793\) | −35.3494 | − | 9.47185i | −1.25529 | − | 0.336355i | ||||
\(794\) | 42.0861 | 1.49358 | ||||||||
\(795\) | 1.41247 | + | 21.1673i | 0.0500951 | + | 0.750726i | ||||
\(796\) | − | 48.2117i | − | 1.70882i | ||||||
\(797\) | −4.16745 | − | 15.5531i | −0.147618 | − | 0.550920i | −0.999625 | − | 0.0273883i | \(-0.991281\pi\) |
0.852006 | − | 0.523531i | \(-0.175386\pi\) | |||||||
\(798\) | −12.5728 | + | 85.4290i | −0.445072 | + | 3.02415i | ||||
\(799\) | 3.81063 | − | 2.20007i | 0.134810 | − | 0.0778328i | ||||
\(800\) | 1.48952 | − | 8.20554i | 0.0526624 | − | 0.290110i | ||||
\(801\) | −0.472290 | − | 9.24691i | −0.0166876 | − | 0.326723i | ||||
\(802\) | 71.2520 | − | 19.0919i | 2.51600 | − | 0.674159i | ||||
\(803\) | 16.2940 | − | 4.36597i | 0.575004 | − | 0.154072i | ||||
\(804\) | −0.0166446 | − | 0.652189i | −0.000587010 | − | 0.0230009i | ||||
\(805\) | −17.6880 | + | 2.33542i | −0.623419 | + | 0.0823127i | ||||
\(806\) | 40.5725 | − | 70.2736i | 1.42910 | − | 2.47528i | ||||
\(807\) | 4.99464 | − | 5.25625i | 0.175820 | − | 0.185029i | ||||
\(808\) | −8.65685 | − | 8.65685i | −0.304547 | − | 0.304547i | ||||
\(809\) | 21.6606 | + | 12.5058i | 0.761547 | + | 0.439679i | 0.829851 | − | 0.557985i | \(-0.188425\pi\) |
−0.0683038 | + | 0.997665i | \(0.521759\pi\) | |||||||
\(810\) | −38.8737 | − | 29.0776i | −1.36588 | − | 1.02168i | ||||
\(811\) | 34.4266i | 1.20888i | 0.796650 | + | 0.604441i | \(0.206603\pi\) | ||||
−0.796650 | + | 0.604441i | \(0.793397\pi\) | |||||||
\(812\) | −13.2496 | + | 4.86593i | −0.464970 | + | 0.170761i | ||||
\(813\) | 48.6153 | − | 14.3654i | 1.70501 | − | 0.503816i | ||||
\(814\) | 34.6601i | 1.21483i | ||||||||
\(815\) | −45.6076 | − | 10.2315i | −1.59756 | − | 0.358395i | ||||
\(816\) | −10.0682 | − | 5.47523i | −0.352456 | − | 0.191671i | ||||
\(817\) | 0.733109 | + | 2.73600i | 0.0256483 | + | 0.0957206i | ||||
\(818\) | −13.6283 | − | 13.6283i | −0.476502 | − | 0.476502i | ||||
\(819\) | 23.5072 | + | 29.9909i | 0.821406 | + | 1.04797i | ||||
\(820\) | 51.4800 | − | 2.11777i | 1.79776 | − | 0.0739557i | ||||
\(821\) | 3.60236 | − | 6.23948i | 0.125723 | − | 0.217759i | −0.796292 | − | 0.604912i | \(-0.793208\pi\) |
0.922015 | + | 0.387153i | \(0.126541\pi\) | |||||||
\(822\) | −26.7751 | − | 25.4425i | −0.933889 | − | 0.887408i | ||||
\(823\) | 30.1432 | + | 8.07684i | 1.05073 | + | 0.281541i | 0.742551 | − | 0.669789i | \(-0.233615\pi\) |
0.308174 | + | 0.951330i | \(0.400282\pi\) | |||||||
\(824\) | −6.48998 | −0.226089 | ||||||||
\(825\) | −30.2355 | − | 4.69513i | −1.05267 | − | 0.163463i | ||||
\(826\) | 7.75084 | + | 85.7341i | 0.269686 | + | 2.98307i | ||||
\(827\) | −2.46795 | − | 2.46795i | −0.0858191 | − | 0.0858191i | 0.662894 | − | 0.748713i | \(-0.269328\pi\) |
−0.748713 | + | 0.662894i | \(0.769328\pi\) | |||||||
\(828\) | −23.1533 | + | 25.6457i | −0.804632 | + | 0.891250i | ||||
\(829\) | −4.41338 | + | 7.64421i | −0.153283 | + | 0.265494i | −0.932433 | − | 0.361344i | \(-0.882318\pi\) |
0.779149 | + | 0.626838i | \(0.215651\pi\) | |||||||
\(830\) | 2.79846 | + | 68.0267i | 0.0971360 | + | 2.36124i | ||||
\(831\) | 17.7446 | + | 28.9998i | 0.615553 | + | 1.00599i | ||||
\(832\) | 12.3216 | + | 45.9849i | 0.427175 | + | 1.59424i | ||||
\(833\) | 14.2083 | − | 6.72582i | 0.492288 | − | 0.233036i | ||||
\(834\) | −12.3501 | + | 22.7101i | −0.427649 | + | 0.786385i | ||||
\(835\) | 6.35044 | + | 20.3193i | 0.219766 | + | 0.703180i | ||||
\(836\) | 91.2771 | + | 52.6988i | 3.15688 | + | 1.82263i | ||||
\(837\) | −35.7855 | − | 6.70625i | −1.23693 | − | 0.231802i | ||||
\(838\) | −5.78286 | + | 21.5819i | −0.199766 | + | 0.745535i | ||||
\(839\) | 8.33437 | + | 14.4356i | 0.287734 | + | 0.498371i | 0.973269 | − | 0.229670i | \(-0.0737646\pi\) |
−0.685534 | + | 0.728040i | \(0.740431\pi\) | |||||||
\(840\) | −44.7134 | − | 4.71263i | −1.54276 | − | 0.162601i | ||||
\(841\) | −13.5242 | + | 23.4247i | −0.466353 | + | 0.807748i | ||||
\(842\) | −3.03602 | − | 3.03602i | −0.104628 | − | 0.104628i | ||||
\(843\) | −10.1171 | − | 34.2384i | −0.348452 | − | 1.17923i | ||||
\(844\) | − | 22.0221i | − | 0.758031i | ||||||
\(845\) | 18.9802 | − | 12.0246i | 0.652938 | − | 0.413659i | ||||
\(846\) | −0.723281 | − | 14.1610i | −0.0248669 | − | 0.486866i | ||||
\(847\) | 3.01314 | + | 2.51350i | 0.103533 | + | 0.0863650i | ||||
\(848\) | 15.5893 | + | 4.17714i | 0.535339 | + | 0.143444i | ||||
\(849\) | −14.2520 | + | 26.2074i | −0.489129 | + | 0.899437i | ||||
\(850\) | 15.4238 | + | 22.2653i | 0.529031 | + | 0.763694i | ||||
\(851\) | −6.13216 | − | 10.6212i | −0.210208 | − | 0.364090i | ||||
\(852\) | 46.6093 | − | 13.7726i | 1.59681 | − | 0.471843i | ||||
\(853\) | −10.5534 | + | 39.3859i | −0.361342 | + | 1.34855i | 0.510970 | + | 0.859598i | \(0.329286\pi\) |
−0.872312 | + | 0.488949i | \(0.837380\pi\) | |||||||
\(854\) | 28.0202 | + | 39.7715i | 0.958831 | + | 1.36095i | ||||
\(855\) | −4.82162 | − | 52.1779i | −0.164896 | − | 1.78445i | ||||
\(856\) | −16.8351 | − | 29.1592i | −0.575411 | − | 0.996641i | ||||
\(857\) | −18.5649 | + | 18.5649i | −0.634163 | + | 0.634163i | −0.949110 | − | 0.314946i | \(-0.898014\pi\) |
0.314946 | + | 0.949110i | \(0.398014\pi\) | |||||||
\(858\) | 67.9650 | − | 20.0830i | 2.32029 | − | 0.685623i | ||||
\(859\) | 44.5483 | 1.51997 | 0.759985 | − | 0.649941i | \(-0.225206\pi\) | ||||
0.759985 | + | 0.649941i | \(0.225206\pi\) | |||||||
\(860\) | −2.95554 | + | 0.923701i | −0.100783 | + | 0.0314979i | ||||
\(861\) | 3.19126 | + | 27.4647i | 0.108758 | + | 0.935995i | ||||
\(862\) | −0.575279 | + | 2.14697i | −0.0195941 | + | 0.0731261i | ||||
\(863\) | 13.1939 | + | 3.53528i | 0.449124 | + | 0.120342i | 0.476290 | − | 0.879288i | \(-0.341981\pi\) |
−0.0271653 | + | 0.999631i | \(0.508648\pi\) | |||||||
\(864\) | 7.15231 | − | 4.89469i | 0.243327 | − | 0.166521i | ||||
\(865\) | −45.4617 | + | 14.2082i | −1.54575 | + | 0.483095i | ||||
\(866\) | −2.33614 | − | 1.34877i | −0.0793853 | − | 0.0458331i | ||||
\(867\) | 19.8610 | − | 5.86875i | 0.674516 | − | 0.199313i | ||||
\(868\) | −66.4567 | + | 24.4063i | −2.25569 | + | 0.828404i | ||||
\(869\) | 13.0019 | + | 7.50665i | 0.441059 | + | 0.254646i | ||||
\(870\) | 10.8432 | − | 7.26369i | 0.367617 | − | 0.246262i | ||||
\(871\) | − | 0.473511i | − | 0.0160443i | ||||||
\(872\) | 11.5712 | − | 3.10049i | 0.391849 | − | 0.104996i | ||||
\(873\) | −18.4245 | − | 16.6339i | −0.623575 | − | 0.562972i | ||||
\(874\) | −56.8259 | −1.92216 | ||||||||
\(875\) | 24.8735 | + | 16.0097i | 0.840877 | + | 0.541226i | ||||
\(876\) | −26.9383 | + | 16.4832i | −0.910161 | + | 0.556916i | ||||
\(877\) | 12.8497 | + | 12.8497i | 0.433902 | + | 0.433902i | 0.889954 | − | 0.456051i | \(-0.150737\pi\) |
−0.456051 | + | 0.889954i | \(0.650737\pi\) | |||||||
\(878\) | 13.1006 | − | 48.8922i | 0.442125 | − | 1.65003i | ||||
\(879\) | −11.7830 | + | 0.300715i | −0.397430 | + | 0.0101429i | ||||
\(880\) | −10.8005 | + | 20.6207i | −0.364086 | + | 0.695122i | ||||
\(881\) | − | 0.652381i | − | 0.0219793i | −0.999940 | − | 0.0109896i | \(-0.996502\pi\) | ||
0.999940 | − | 0.0109896i | \(-0.00349818\pi\) | |||||||
\(882\) | 1.54214 | − | 50.6337i | 0.0519264 | − | 1.70493i | ||||
\(883\) | −4.38395 | + | 4.38395i | −0.147532 | + | 0.147532i | −0.777015 | − | 0.629483i | \(-0.783267\pi\) |
0.629483 | + | 0.777015i | \(0.283267\pi\) | |||||||
\(884\) | −35.6568 | − | 20.5864i | −1.19927 | − | 0.692397i | ||||
\(885\) | −16.8501 | − | 49.4469i | −0.566409 | − | 1.66214i | ||||
\(886\) | −28.2876 | − | 48.9956i | −0.950341 | − | 1.64604i | ||||
\(887\) | −4.44261 | + | 4.44261i | −0.149168 | + | 0.149168i | −0.777746 | − | 0.628578i | \(-0.783637\pi\) |
0.628578 | + | 0.777746i | \(0.283637\pi\) | |||||||
\(888\) | −8.75820 | − | 29.6395i | −0.293906 | − | 0.994636i | ||||
\(889\) | 0.285163 | + | 3.15427i | 0.00956407 | + | 0.105791i | ||||
\(890\) | 12.2454 | + | 11.2777i | 0.410468 | + | 0.378031i | ||||
\(891\) | −18.6221 | − | 25.7749i | −0.623865 | − | 0.863492i | ||||
\(892\) | −6.62138 | − | 24.7113i | −0.221700 | − | 0.827397i | ||||
\(893\) | 10.8225 | − | 10.8225i | 0.362162 | − | 0.362162i | ||||
\(894\) | 1.57818 | + | 61.8382i | 0.0527822 | + | 2.06818i | ||||
\(895\) | −31.2408 | − | 16.3631i | −1.04426 | − | 0.546957i | ||||
\(896\) | 22.8739 | − | 49.4261i | 0.764162 | − | 1.65121i | ||||
\(897\) | −17.2740 | + | 18.1788i | −0.576762 | + | 0.606972i | ||||
\(898\) | 2.65947 | + | 9.92527i | 0.0887476 | + | 0.331211i | ||||
\(899\) | 4.89412 | − | 8.47686i | 0.163228 | − | 0.282719i | ||||
\(900\) | 56.7763 | − | 7.61112i | 1.89254 | − | 0.253704i | ||||
\(901\) | 10.6528 | − | 6.15039i | 0.354896 | − | 0.204899i | ||||
\(902\) | 49.6712 | + | 13.3094i | 1.65387 | + | 0.443153i | ||||
\(903\) | −0.612465 | − | 1.54472i | −0.0203815 | − | 0.0514052i | ||||
\(904\) | −18.8594 | − | 10.8885i | −0.627254 | − | 0.362145i | ||||
\(905\) | −1.39487 | − | 33.9073i | −0.0463670 | − | 1.12712i | ||||
\(906\) | 15.0318 | − | 0.383627i | 0.499397 | − | 0.0127452i | ||||
\(907\) | 4.83031 | + | 4.83031i | 0.160388 | + | 0.160388i | 0.782738 | − | 0.622351i | \(-0.213822\pi\) |
−0.622351 | + | 0.782738i | \(0.713822\pi\) | |||||||
\(908\) | 2.07729 | − | 7.75255i | 0.0689373 | − | 0.257278i | ||||
\(909\) | −3.81006 | + | 7.45317i | −0.126372 | + | 0.247206i | ||||
\(910\) | −67.9306 | − | 8.91730i | −2.25188 | − | 0.295605i | ||||
\(911\) | 0.962446 | + | 1.66701i | 0.0318873 | + | 0.0552304i | 0.881529 | − | 0.472131i | \(-0.156515\pi\) |
−0.849641 | + | 0.527361i | \(0.823182\pi\) | |||||||
\(912\) | −38.7568 | − | 9.33193i | −1.28337 | − | 0.309011i | ||||
\(913\) | −11.5424 | + | 43.0769i | −0.381998 | + | 1.42564i | ||||
\(914\) | −71.2628 | + | 41.1436i | −2.35716 | + | 1.36091i | ||||
\(915\) | −22.2198 | − | 19.4399i | −0.734562 | − | 0.642662i | ||||
\(916\) | 16.7627 | − | 9.67795i | 0.553855 | − | 0.319769i | ||||
\(917\) | 6.58180 | − | 7.89015i | 0.217350 | − | 0.260556i | ||||
\(918\) | −5.18478 | + | 27.6667i | −0.171123 | + | 0.913137i | ||||
\(919\) | 25.6822 | − | 14.8276i | 0.847176 | − | 0.489117i | −0.0125208 | − | 0.999922i | \(-0.503986\pi\) |
0.859697 | + | 0.510804i | \(0.170652\pi\) | |||||||
\(920\) | −1.21618 | − | 29.5635i | −0.0400961 | − | 0.974681i | ||||
\(921\) | 5.30385 | − | 3.24536i | 0.174768 | − | 0.106938i | ||||
\(922\) | −19.5970 | + | 19.5970i | −0.645393 | + | 0.645393i | ||||
\(923\) | 34.0729 | − | 9.12982i | 1.12152 | − | 0.300512i | ||||
\(924\) | −56.7586 | − | 24.5290i | −1.86722 | − | 0.806945i | ||||
\(925\) | −3.63174 | + | 20.0067i | −0.119411 | + | 0.657817i | ||||
\(926\) | 25.0092 | + | 43.3172i | 0.821852 | + | 1.42349i | ||||
\(927\) | 1.36561 | + | 4.22198i | 0.0448524 | + | 0.138668i | ||||
\(928\) | 0.603056 | + | 2.25064i | 0.0197963 | + | 0.0738807i | ||||
\(929\) | −6.57220 | + | 11.3834i | −0.215627 | + | 0.373477i | −0.953466 | − | 0.301499i | \(-0.902513\pi\) |
0.737839 | + | 0.674976i | \(0.235846\pi\) | |||||||
\(930\) | 54.3865 | − | 36.4328i | 1.78340 | − | 1.19468i | ||||
\(931\) | 41.6828 | − | 35.3892i | 1.36610 | − | 1.15983i | ||||
\(932\) | 47.9527 | − | 12.8489i | 1.57074 | − | 0.420879i | ||||
\(933\) | 30.7762 | − | 9.09409i | 1.00757 | − | 0.297727i | ||||
\(934\) | 1.13113 | 0.0370118 | ||||||||
\(935\) | 5.29239 | + | 16.9339i | 0.173080 | + | 0.553798i | ||||
\(936\) | −53.0454 | + | 34.3479i | −1.73384 | + | 1.12270i | ||||
\(937\) | −28.8804 | + | 28.8804i | −0.943482 | + | 0.943482i | −0.998486 | − | 0.0550039i | \(-0.982483\pi\) |
0.0550039 | + | 0.998486i | \(0.482483\pi\) | |||||||
\(938\) | −0.403225 | + | 0.483379i | −0.0131658 | + | 0.0157829i | ||||
\(939\) | 59.5014 | − | 1.51854i | 1.94175 | − | 0.0495557i | ||||
\(940\) | 12.3075 | + | 11.3349i | 0.401428 | + | 0.369705i | ||||
\(941\) | −14.9798 | + | 8.64860i | −0.488328 | + | 0.281936i | −0.723881 | − | 0.689925i | \(-0.757643\pi\) |
0.235552 | + | 0.971862i | \(0.424310\pi\) | |||||||
\(942\) | −47.2121 | − | 11.3678i | −1.53825 | − | 0.370383i | ||||
\(943\) | −17.5759 | + | 4.70946i | −0.572351 | + | 0.153361i | ||||
\(944\) | −39.7419 | −1.29349 | ||||||||
\(945\) | 6.34273 | + | 30.0794i | 0.206329 | + | 0.978483i | ||||
\(946\) | −3.09050 | −0.100481 | ||||||||
\(947\) | 55.9754 | − | 14.9986i | 1.81896 | − | 0.487388i | 0.822296 | − | 0.569060i | \(-0.192693\pi\) |
0.996659 | + | 0.0816721i | \(0.0260260\pi\) | |||||||
\(948\) | −27.3263 | − | 6.57968i | −0.887518 | − | 0.213698i | ||||
\(949\) | −19.8506 | + | 11.4607i | −0.644378 | + | 0.372032i | ||||
\(950\) | 71.8667 | + | 60.9229i | 2.33166 | + | 1.97660i | ||||
\(951\) | 49.7743 | − | 1.27030i | 1.61404 | − | 0.0411922i | ||||
\(952\) | 8.98729 | + | 24.4718i | 0.291280 | + | 0.793135i | ||||
\(953\) | −11.0423 | + | 11.0423i | −0.357694 | + | 0.357694i | −0.862962 | − | 0.505269i | \(-0.831393\pi\) |
0.505269 | + | 0.862962i | \(0.331393\pi\) | |||||||
\(954\) | −2.02197 | − | 39.5878i | −0.0654637 | − | 1.28170i | ||||
\(955\) | −11.3819 | + | 21.7306i | −0.368309 | + | 0.703185i | ||||
\(956\) | 15.1406 | 0.489683 | ||||||||
\(957\) | 8.19838 | − | 2.42255i | 0.265016 | − | 0.0783099i | ||||
\(958\) | 63.5306 | − | 17.0230i | 2.05258 | − | 0.549987i | ||||
\(959\) | 2.10590 | + | 23.2939i | 0.0680029 | + | 0.752198i | ||||
\(960\) | −7.44815 | + | 37.6767i | −0.240388 | + | 1.21601i | ||||
\(961\) | 9.04767 | − | 15.6710i | 0.291860 | − | 0.505517i | ||||
\(962\) | −12.1894 | − | 45.4916i | −0.393003 | − | 1.46671i | ||||
\(963\) | −15.4268 | + | 17.0875i | −0.497122 | + | 0.550636i | ||||
\(964\) | 38.0085 | + | 65.8326i | 1.22417 | + | 2.12033i | ||||
\(965\) | −48.8828 | − | 10.9663i | −1.57359 | − | 0.353018i | ||||
\(966\) | 33.1144 | − | 3.84772i | 1.06544 | − | 0.123798i | ||||
\(967\) | −4.39193 | + | 1.17681i | −0.141235 | + | 0.0378438i | −0.328744 | − | 0.944419i | \(-0.606625\pi\) |
0.187509 | + | 0.982263i | \(0.439959\pi\) | |||||||
\(968\) | −4.60142 | + | 4.60142i | −0.147895 | + | 0.147895i | ||||
\(969\) | −25.9166 | + | 15.8581i | −0.832562 | + | 0.509434i | ||||
\(970\) | 44.5925 | − | 1.83443i | 1.43178 | − | 0.0589000i | ||||
\(971\) | 27.3532 | − | 15.7924i | 0.877807 | − | 0.506802i | 0.00787261 | − | 0.999969i | \(-0.497494\pi\) |
0.869935 | + | 0.493167i | \(0.164161\pi\) | |||||||
\(972\) | 47.1088 | + | 36.3971i | 1.51102 | + | 1.16744i | ||||
\(973\) | 15.3663 | − | 5.64329i | 0.492621 | − | 0.180915i | ||||
\(974\) | −52.7759 | + | 30.4702i | −1.69105 | + | 0.976328i | ||||
\(975\) | 41.3356 | − | 4.47100i | 1.32380 | − | 0.143187i | ||||
\(976\) | −19.4513 | + | 11.2302i | −0.622621 | + | 0.359470i | ||||
\(977\) | −4.77427 | + | 17.8178i | −0.152742 | + | 0.570042i | 0.846546 | + | 0.532316i | \(0.178678\pi\) |
−0.999288 | + | 0.0377261i | \(0.987989\pi\) | |||||||
\(978\) | 84.9101 | + | 20.4448i | 2.71513 | + | 0.653752i | ||||
\(979\) | 5.45220 | + | 9.44349i | 0.174253 | + | 0.301815i | ||||
\(980\) | 40.5279 | + | 43.9392i | 1.29462 | + | 1.40359i | ||||
\(981\) | −4.45177 | − | 6.87510i | −0.142134 | − | 0.219505i | ||||
\(982\) | 3.16903 | − | 11.8270i | 0.101128 | − | 0.377414i | ||||
\(983\) | 38.8415 | + | 38.8415i | 1.23885 | + | 1.23885i | 0.960471 | + | 0.278378i | \(0.0897969\pi\) |
0.278378 | + | 0.960471i | \(0.410203\pi\) | |||||||
\(984\) | −45.8394 | + | 1.16987i | −1.46131 | + | 0.0372941i | ||||
\(985\) | −8.78385 | − | 8.08971i | −0.279877 | − | 0.257760i | ||||
\(986\) | −6.55369 | − | 3.78377i | −0.208712 | − | 0.120500i | ||||
\(987\) | −5.57386 | + | 7.03946i | −0.177418 | + | 0.224069i | ||||
\(988\) | −138.335 | − | 37.0668i | −4.40103 | − | 1.17925i | ||||
\(989\) | 0.947051 | − | 0.546780i | 0.0301145 | − | 0.0173866i | ||||
\(990\) | 56.3520 | + | 9.65311i | 1.79098 | + | 0.306796i | ||||
\(991\) | 30.4863 | − | 52.8038i | 0.968430 | − | 1.67737i | 0.268326 | − | 0.963328i | \(-0.413530\pi\) |
0.700104 | − | 0.714041i | \(-0.253137\pi\) | |||||||
\(992\) | 3.02478 | + | 11.2886i | 0.0960368 | + | 0.358414i | ||||
\(993\) | −39.1008 | + | 41.1489i | −1.24083 | + | 1.30582i | ||||
\(994\) | −42.5576 | − | 19.6952i | −1.34985 | − | 0.624694i | ||||
\(995\) | 13.0977 | − | 25.0064i | 0.415225 | − | 0.792757i | ||||
\(996\) | −2.13011 | − | 83.4646i | −0.0674951 | − | 2.64468i | ||||
\(997\) | −10.2856 | + | 10.2856i | −0.325749 | + | 0.325749i | −0.850967 | − | 0.525218i | \(-0.823984\pi\) |
0.525218 | + | 0.850967i | \(0.323984\pi\) | |||||||
\(998\) | −19.4084 | − | 72.4331i | −0.614362 | − | 2.29283i | ||||
\(999\) | −17.4388 | + | 11.9342i | −0.551738 | + | 0.377582i |
(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 | 315.2.cg.e.157.4 | yes | 160 | |
3.2 | odd | 2 | 945.2.cj.e.577.37 | 160 | |||
5.3 | odd | 4 | inner | 315.2.cg.e.283.37 | yes | 160 | |
7.5 | odd | 6 | 315.2.bs.e.292.37 | yes | 160 | ||
9.2 | odd | 6 | 945.2.bv.e.262.4 | 160 | |||
9.7 | even | 3 | 315.2.bs.e.52.37 | ✓ | 160 | ||
15.8 | even | 4 | 945.2.cj.e.388.4 | 160 | |||
21.5 | even | 6 | 945.2.bv.e.712.4 | 160 | |||
35.33 | even | 12 | 315.2.bs.e.103.37 | yes | 160 | ||
45.38 | even | 12 | 945.2.bv.e.73.4 | 160 | |||
45.43 | odd | 12 | 315.2.bs.e.178.37 | yes | 160 | ||
63.47 | even | 6 | 945.2.cj.e.397.4 | 160 | |||
63.61 | odd | 6 | inner | 315.2.cg.e.187.37 | yes | 160 | |
105.68 | odd | 12 | 945.2.bv.e.523.4 | 160 | |||
315.173 | odd | 12 | 945.2.cj.e.208.37 | 160 | |||
315.313 | even | 12 | inner | 315.2.cg.e.313.4 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.37 | ✓ | 160 | 9.7 | even | 3 | ||
315.2.bs.e.103.37 | yes | 160 | 35.33 | even | 12 | ||
315.2.bs.e.178.37 | yes | 160 | 45.43 | odd | 12 | ||
315.2.bs.e.292.37 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.157.4 | yes | 160 | 1.1 | even | 1 | trivial | |
315.2.cg.e.187.37 | yes | 160 | 63.61 | odd | 6 | inner | |
315.2.cg.e.283.37 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.cg.e.313.4 | yes | 160 | 315.313 | even | 12 | inner | |
945.2.bv.e.73.4 | 160 | 45.38 | even | 12 | |||
945.2.bv.e.262.4 | 160 | 9.2 | odd | 6 | |||
945.2.bv.e.523.4 | 160 | 105.68 | odd | 12 | |||
945.2.bv.e.712.4 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.208.37 | 160 | 315.173 | odd | 12 | |||
945.2.cj.e.388.4 | 160 | 15.8 | even | 4 | |||
945.2.cj.e.397.4 | 160 | 63.47 | even | 6 | |||
945.2.cj.e.577.37 | 160 | 3.2 | odd | 2 |