Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [460,2,Mod(459,460)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(460, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("460.459");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 460 = 2^{2} \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 460.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.67311849298\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 459.15 | ||
Character | \(\chi\) | \(=\) | 460.459 |
Dual form | 460.2.g.c.459.13 |
$q$-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 \(\left(\mathbb{Z}/460\mathbb{Z}\right)^\times\).
\(n\) | \(231\) | \(277\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.968186 | + | 1.03083i | −0.684611 | + | 0.728909i | ||||
\(3\) | 0.281229 | 0.162367 | 0.0811837 | − | 0.996699i | \(-0.474130\pi\) | ||||
0.0811837 | + | 0.996699i | \(0.474130\pi\) | |||||||
\(4\) | −0.125231 | − | 1.99608i | −0.0626157 | − | 0.998038i | ||||
\(5\) | −1.92344 | − | 1.14033i | −0.860190 | − | 0.509973i | ||||
\(6\) | −0.272282 | + | 0.289900i | −0.111159 | + | 0.118351i | ||||
\(7\) | − | 0.654652i | − | 0.247435i | −0.992317 | − | 0.123718i | \(-0.960518\pi\) | ||
0.992317 | − | 0.123718i | \(-0.0394817\pi\) | |||||||
\(8\) | 2.17887 | + | 1.80348i | 0.770346 | + | 0.637626i | ||||
\(9\) | −2.92091 | −0.973637 | ||||||||
\(10\) | 3.03775 | − | 0.878693i | 0.960620 | − | 0.277867i | ||||
\(11\) | 3.83142 | 1.15522 | 0.577608 | − | 0.816314i | \(-0.303986\pi\) | ||||
0.577608 | + | 0.816314i | \(0.303986\pi\) | |||||||
\(12\) | −0.0352186 | − | 0.561354i | −0.0101667 | − | 0.162049i | ||||
\(13\) | 5.53192i | 1.53428i | 0.641481 | + | 0.767139i | \(0.278320\pi\) | ||||
−0.641481 | + | 0.767139i | \(0.721680\pi\) | |||||||
\(14\) | 0.674837 | + | 0.633825i | 0.180358 | + | 0.169397i | ||||
\(15\) | −0.540928 | − | 0.320695i | −0.139667 | − | 0.0828030i | ||||
\(16\) | −3.96863 | + | 0.499942i | −0.992159 | + | 0.124986i | ||||
\(17\) | −5.39216 | −1.30779 | −0.653896 | − | 0.756585i | \(-0.726867\pi\) | ||||
−0.653896 | + | 0.756585i | \(0.726867\pi\) | |||||||
\(18\) | 2.82798 | − | 3.01097i | 0.666562 | − | 0.709692i | ||||
\(19\) | −7.15249 | −1.64089 | −0.820447 | − | 0.571722i | \(-0.806275\pi\) | ||||
−0.820447 | + | 0.571722i | \(0.806275\pi\) | |||||||
\(20\) | −2.03532 | + | 3.98215i | −0.455111 | + | 0.890435i | ||||
\(21\) | − | 0.184107i | − | 0.0401755i | ||||||
\(22\) | −3.70952 | + | 3.94955i | −0.790873 | + | 0.842046i | ||||
\(23\) | −2.92031 | − | 3.80418i | −0.608927 | − | 0.793227i | ||||
\(24\) | 0.612760 | + | 0.507190i | 0.125079 | + | 0.103530i | ||||
\(25\) | 2.39928 | + | 4.38674i | 0.479855 | + | 0.877348i | ||||
\(26\) | −5.70248 | − | 5.35593i | −1.11835 | − | 1.05038i | ||||
\(27\) | −1.66513 | −0.320454 | ||||||||
\(28\) | −1.30674 | + | 0.0819830i | −0.246950 | + | 0.0154933i | ||||
\(29\) | −1.36806 | −0.254042 | −0.127021 | − | 0.991900i | \(-0.540542\pi\) | ||||
−0.127021 | + | 0.991900i | \(0.540542\pi\) | |||||||
\(30\) | 0.854301 | − | 0.247114i | 0.155973 | − | 0.0451166i | ||||
\(31\) | 6.50560i | 1.16844i | 0.811595 | + | 0.584221i | \(0.198600\pi\) | ||||
−0.811595 | + | 0.584221i | \(0.801400\pi\) | |||||||
\(32\) | 3.32702 | − | 4.57503i | 0.588140 | − | 0.808759i | ||||
\(33\) | 1.07750 | 0.187569 | ||||||||
\(34\) | 5.22062 | − | 5.55842i | 0.895328 | − | 0.953261i | ||||
\(35\) | −0.746523 | + | 1.25919i | −0.126185 | + | 0.212842i | ||||
\(36\) | 0.365789 | + | 5.83036i | 0.0609649 | + | 0.971726i | ||||
\(37\) | −0.364169 | −0.0598690 | −0.0299345 | − | 0.999552i | \(-0.509530\pi\) | ||||
−0.0299345 | + | 0.999552i | \(0.509530\pi\) | |||||||
\(38\) | 6.92494 | − | 7.37302i | 1.12337 | − | 1.19606i | ||||
\(39\) | 1.55573i | 0.249117i | ||||||||
\(40\) | −2.13436 | − | 5.95353i | −0.337472 | − | 0.941336i | ||||
\(41\) | −5.98276 | −0.934350 | −0.467175 | − | 0.884165i | \(-0.654728\pi\) | ||||
−0.467175 | + | 0.884165i | \(0.654728\pi\) | |||||||
\(42\) | 0.189784 | + | 0.178250i | 0.0292842 | + | 0.0275046i | ||||
\(43\) | 2.05553i | 0.313466i | 0.987641 | + | 0.156733i | \(0.0500962\pi\) | ||||
−0.987641 | + | 0.156733i | \(0.949904\pi\) | |||||||
\(44\) | −0.479813 | − | 7.64780i | −0.0723346 | − | 1.15295i | ||||
\(45\) | 5.61821 | + | 3.33081i | 0.837513 | + | 0.496528i | ||||
\(46\) | 6.74888 | + | 0.672806i | 0.995068 | + | 0.0991998i | ||||
\(47\) | −5.64904 | −0.823997 | −0.411999 | − | 0.911184i | \(-0.635169\pi\) | ||||
−0.411999 | + | 0.911184i | \(0.635169\pi\) | |||||||
\(48\) | −1.11609 | + | 0.140598i | −0.161094 | + | 0.0202936i | ||||
\(49\) | 6.57143 | 0.938776 | ||||||||
\(50\) | −6.84494 | − | 1.77393i | −0.968020 | − | 0.250871i | ||||
\(51\) | −1.51643 | −0.212343 | ||||||||
\(52\) | 11.0421 | − | 0.692769i | 1.53127 | − | 0.0960698i | ||||
\(53\) | −4.91027 | −0.674478 | −0.337239 | − | 0.941419i | \(-0.609493\pi\) | ||||
−0.337239 | + | 0.941419i | \(0.609493\pi\) | |||||||
\(54\) | 1.61216 | − | 1.71647i | 0.219387 | − | 0.233582i | ||||
\(55\) | −7.36951 | − | 4.36910i | −0.993705 | − | 0.589129i | ||||
\(56\) | 1.18065 | − | 1.42640i | 0.157771 | − | 0.190611i | ||||
\(57\) | −2.01149 | −0.266428 | ||||||||
\(58\) | 1.32453 | − | 1.41024i | 0.173920 | − | 0.185173i | ||||
\(59\) | − | 8.55081i | − | 1.11322i | −0.830774 | − | 0.556610i | \(-0.812102\pi\) | ||
0.830774 | − | 0.556610i | \(-0.187898\pi\) | |||||||
\(60\) | −0.572390 | + | 1.11989i | −0.0738952 | + | 0.144578i | ||||
\(61\) | 6.21530i | 0.795787i | 0.917432 | + | 0.397894i | \(0.130259\pi\) | ||||
−0.917432 | + | 0.397894i | \(0.869741\pi\) | |||||||
\(62\) | −6.70619 | − | 6.29864i | −0.851687 | − | 0.799928i | ||||
\(63\) | 1.91218i | 0.240912i | ||||||||
\(64\) | 1.49492 | + | 7.85908i | 0.186865 | + | 0.982386i | ||||
\(65\) | 6.30824 | − | 10.6403i | 0.782440 | − | 1.31977i | ||||
\(66\) | −1.04322 | + | 1.11073i | −0.128412 | + | 0.136721i | ||||
\(67\) | − | 8.19725i | − | 1.00145i | −0.865605 | − | 0.500727i | \(-0.833066\pi\) | ||
0.865605 | − | 0.500727i | \(-0.166934\pi\) | |||||||
\(68\) | 0.675268 | + | 10.7632i | 0.0818882 | + | 1.30523i | ||||
\(69\) | −0.821275 | − | 1.06985i | −0.0988699 | − | 0.128794i | ||||
\(70\) | −0.575239 | − | 1.98867i | −0.0687542 | − | 0.237691i | ||||
\(71\) | 5.98091i | 0.709803i | 0.934904 | + | 0.354901i | \(0.115486\pi\) | ||||
−0.934904 | + | 0.354901i | \(0.884514\pi\) | |||||||
\(72\) | −6.36427 | − | 5.26780i | −0.750037 | − | 0.620817i | ||||
\(73\) | − | 6.53524i | − | 0.764892i | −0.923978 | − | 0.382446i | \(-0.875082\pi\) | ||
0.923978 | − | 0.382446i | \(-0.124918\pi\) | |||||||
\(74\) | 0.352583 | − | 0.375397i | 0.0409870 | − | 0.0436390i | ||||
\(75\) | 0.674745 | + | 1.23368i | 0.0779129 | + | 0.142453i | ||||
\(76\) | 0.895716 | + | 14.2769i | 0.102746 | + | 1.63767i | ||||
\(77\) | − | 2.50825i | − | 0.285841i | ||||||
\(78\) | −1.60370 | − | 1.50624i | −0.181583 | − | 0.170548i | ||||
\(79\) | 2.65782 | 0.299028 | 0.149514 | − | 0.988760i | \(-0.452229\pi\) | ||||
0.149514 | + | 0.988760i | \(0.452229\pi\) | |||||||
\(80\) | 8.20355 | + | 3.56396i | 0.917185 | + | 0.398463i | ||||
\(81\) | 8.29445 | 0.921605 | ||||||||
\(82\) | 5.79242 | − | 6.16722i | 0.639666 | − | 0.681056i | ||||
\(83\) | − | 15.6753i | − | 1.72059i | −0.509794 | − | 0.860296i | \(-0.670278\pi\) | ||
0.509794 | − | 0.860296i | \(-0.329722\pi\) | |||||||
\(84\) | −0.367492 | + | 0.0230560i | −0.0400966 | + | 0.00251561i | ||||
\(85\) | 10.3715 | + | 6.14887i | 1.12495 | + | 0.666938i | ||||
\(86\) | −2.11891 | − | 1.99014i | −0.228488 | − | 0.214602i | ||||
\(87\) | −0.384737 | −0.0412481 | ||||||||
\(88\) | 8.34814 | + | 6.90988i | 0.889915 | + | 0.736596i | ||||
\(89\) | 16.2942i | 1.72719i | 0.504190 | + | 0.863593i | \(0.331791\pi\) | ||||
−0.504190 | + | 0.863593i | \(0.668209\pi\) | |||||||
\(90\) | −8.87298 | + | 2.56658i | −0.935295 | + | 0.270542i | ||||
\(91\) | 3.62148 | 0.379635 | ||||||||
\(92\) | −7.22772 | + | 6.30556i | −0.753542 | + | 0.657400i | ||||
\(93\) | 1.82956i | 0.189717i | ||||||||
\(94\) | 5.46932 | − | 5.82322i | 0.564118 | − | 0.600619i | ||||
\(95\) | 13.7574 | + | 8.15623i | 1.41148 | + | 0.836812i | ||||
\(96\) | 0.935654 | − | 1.28663i | 0.0954947 | − | 0.131316i | ||||
\(97\) | −13.6570 | −1.38666 | −0.693329 | − | 0.720622i | \(-0.743857\pi\) | ||||
−0.693329 | + | 0.720622i | \(0.743857\pi\) | |||||||
\(98\) | −6.36237 | + | 6.77404i | −0.642696 | + | 0.684282i | ||||
\(99\) | −11.1912 | −1.12476 | ||||||||
\(100\) | 8.45580 | − | 5.33849i | 0.845580 | − | 0.533849i | ||||
\(101\) | 0.609219 | 0.0606195 | 0.0303098 | − | 0.999541i | \(-0.490351\pi\) | ||||
0.0303098 | + | 0.999541i | \(0.490351\pi\) | |||||||
\(102\) | 1.46819 | − | 1.56319i | 0.145372 | − | 0.154779i | ||||
\(103\) | 11.2690i | 1.11037i | 0.831727 | + | 0.555185i | \(0.187352\pi\) | ||||
−0.831727 | + | 0.555185i | \(0.812648\pi\) | |||||||
\(104\) | −9.97670 | + | 12.0533i | −0.978296 | + | 1.18192i | ||||
\(105\) | −0.209944 | + | 0.354120i | −0.0204884 | + | 0.0345585i | ||||
\(106\) | 4.75406 | − | 5.06167i | 0.461755 | − | 0.491633i | ||||
\(107\) | 6.95955i | 0.672805i | 0.941718 | + | 0.336403i | \(0.109210\pi\) | ||||
−0.941718 | + | 0.336403i | \(0.890790\pi\) | |||||||
\(108\) | 0.208526 | + | 3.32373i | 0.0200655 | + | 0.319826i | ||||
\(109\) | 11.3619i | 1.08827i | 0.838998 | + | 0.544135i | \(0.183142\pi\) | ||||
−0.838998 | + | 0.544135i | \(0.816858\pi\) | |||||||
\(110\) | 11.6389 | − | 3.36664i | 1.10972 | − | 0.320996i | ||||
\(111\) | −0.102415 | −0.00972077 | ||||||||
\(112\) | 0.327288 | + | 2.59808i | 0.0309259 | + | 0.245495i | ||||
\(113\) | 6.43268 | 0.605136 | 0.302568 | − | 0.953128i | \(-0.402156\pi\) | ||||
0.302568 | + | 0.953128i | \(0.402156\pi\) | |||||||
\(114\) | 1.94749 | − | 2.07351i | 0.182399 | − | 0.194202i | ||||
\(115\) | 1.27901 | + | 10.6473i | 0.119269 | + | 0.992862i | ||||
\(116\) | 0.171324 | + | 2.73074i | 0.0159070 | + | 0.253543i | ||||
\(117\) | − | 16.1582i | − | 1.49383i | ||||||
\(118\) | 8.81445 | + | 8.27877i | 0.811436 | + | 0.762123i | ||||
\(119\) | 3.52999i | 0.323594i | ||||||||
\(120\) | −0.600243 | − | 1.67430i | −0.0547944 | − | 0.152842i | ||||
\(121\) | 3.67975 | 0.334523 | ||||||||
\(122\) | −6.40693 | − | 6.01757i | −0.580056 | − | 0.544805i | ||||
\(123\) | −1.68252 | −0.151708 | ||||||||
\(124\) | 12.9857 | − | 0.814705i | 1.16615 | − | 0.0731627i | ||||
\(125\) | 0.387477 | − | 11.1736i | 0.0346570 | − | 0.999399i | ||||
\(126\) | −1.97114 | − | 1.85135i | −0.175603 | − | 0.164931i | ||||
\(127\) | 16.4339 | 1.45827 | 0.729135 | − | 0.684370i | \(-0.239923\pi\) | ||||
0.729135 | + | 0.684370i | \(0.239923\pi\) | |||||||
\(128\) | −9.54876 | − | 6.06805i | −0.843999 | − | 0.536344i | ||||
\(129\) | 0.578075i | 0.0508967i | ||||||||
\(130\) | 4.86086 | + | 16.8046i | 0.426325 | + | 1.47386i | ||||
\(131\) | − | 14.0422i | − | 1.22688i | −0.789743 | − | 0.613438i | \(-0.789786\pi\) | ||
0.789743 | − | 0.613438i | \(-0.210214\pi\) | |||||||
\(132\) | −0.134937 | − | 2.15078i | −0.0117448 | − | 0.187201i | ||||
\(133\) | 4.68240i | 0.406015i | ||||||||
\(134\) | 8.44999 | + | 7.93646i | 0.729968 | + | 0.685606i | ||||
\(135\) | 3.20278 | + | 1.89881i | 0.275652 | + | 0.163423i | ||||
\(136\) | −11.7488 | − | 9.72466i | −1.00745 | − | 0.833883i | ||||
\(137\) | 4.19694 | 0.358568 | 0.179284 | − | 0.983797i | \(-0.442622\pi\) | ||||
0.179284 | + | 0.983797i | \(0.442622\pi\) | |||||||
\(138\) | 1.89798 | + | 0.189212i | 0.161567 | + | 0.0161068i | ||||
\(139\) | − | 18.2867i | − | 1.55106i | −0.631311 | − | 0.775530i | \(-0.717483\pi\) | ||
0.631311 | − | 0.775530i | \(-0.282517\pi\) | |||||||
\(140\) | 2.60692 | + | 1.33243i | 0.220325 | + | 0.112611i | ||||
\(141\) | −1.58867 | −0.133790 | ||||||||
\(142\) | −6.16531 | − | 5.79063i | −0.517381 | − | 0.485939i | ||||
\(143\) | 21.1951i | 1.77242i | ||||||||
\(144\) | 11.5920 | − | 1.46029i | 0.966002 | − | 0.121691i | ||||
\(145\) | 2.63138 | + | 1.56004i | 0.218524 | + | 0.129554i | ||||
\(146\) | 6.73673 | + | 6.32733i | 0.557536 | + | 0.523653i | ||||
\(147\) | 1.84807 | 0.152427 | ||||||||
\(148\) | 0.0456053 | + | 0.726908i | 0.00374873 | + | 0.0597515i | ||||
\(149\) | − | 12.9235i | − | 1.05873i | −0.848393 | − | 0.529367i | \(-0.822430\pi\) | ||
0.848393 | − | 0.529367i | \(-0.177570\pi\) | |||||||
\(150\) | −1.92499 | − | 0.498880i | −0.157175 | − | 0.0407334i | ||||
\(151\) | 2.56990i | 0.209136i | 0.994518 | + | 0.104568i | \(0.0333459\pi\) | ||||
−0.994518 | + | 0.104568i | \(0.966654\pi\) | |||||||
\(152\) | −15.5843 | − | 12.8994i | −1.26406 | − | 1.04628i | ||||
\(153\) | 15.7500 | 1.27331 | ||||||||
\(154\) | 2.58558 | + | 2.42845i | 0.208352 | + | 0.195690i | ||||
\(155\) | 7.41856 | − | 12.5132i | 0.595873 | − | 1.00508i | ||||
\(156\) | 3.10536 | − | 0.194827i | 0.248628 | − | 0.0155986i | ||||
\(157\) | −2.58579 | −0.206369 | −0.103184 | − | 0.994662i | \(-0.532903\pi\) | ||||
−0.103184 | + | 0.994662i | \(0.532903\pi\) | |||||||
\(158\) | −2.57327 | + | 2.73977i | −0.204718 | + | 0.217964i | ||||
\(159\) | −1.38091 | −0.109513 | ||||||||
\(160\) | −11.6164 | + | 5.00591i | −0.918358 | + | 0.395752i | ||||
\(161\) | −2.49042 | + | 1.91179i | −0.196272 | + | 0.150670i | ||||
\(162\) | −8.03057 | + | 8.55019i | −0.630941 | + | 0.671766i | ||||
\(163\) | −1.76864 | −0.138530 | −0.0692652 | − | 0.997598i | \(-0.522065\pi\) | ||||
−0.0692652 | + | 0.997598i | \(0.522065\pi\) | |||||||
\(164\) | 0.749228 | + | 11.9420i | 0.0585049 | + | 0.932516i | ||||
\(165\) | −2.07252 | − | 1.22872i | −0.161345 | − | 0.0956553i | ||||
\(166\) | 16.1587 | + | 15.1767i | 1.25415 | + | 1.17794i | ||||
\(167\) | 13.2066 | 1.02196 | 0.510978 | − | 0.859594i | \(-0.329283\pi\) | ||||
0.510978 | + | 0.859594i | \(0.329283\pi\) | |||||||
\(168\) | 0.332033 | − | 0.401145i | 0.0256169 | − | 0.0309490i | ||||
\(169\) | −17.6021 | −1.35401 | ||||||||
\(170\) | −16.3800 | + | 4.73806i | −1.25629 | + | 0.363392i | ||||
\(171\) | 20.8918 | 1.59764 | ||||||||
\(172\) | 4.10300 | − | 0.257417i | 0.312851 | − | 0.0196279i | ||||
\(173\) | 2.53152i | 0.192468i | 0.995359 | + | 0.0962341i | \(0.0306797\pi\) | ||||
−0.995359 | + | 0.0962341i | \(0.969320\pi\) | |||||||
\(174\) | 0.372497 | − | 0.396599i | 0.0282389 | − | 0.0300661i | ||||
\(175\) | 2.87179 | − | 1.57069i | 0.217087 | − | 0.118733i | ||||
\(176\) | −15.2055 | + | 1.91549i | −1.14616 | + | 0.144385i | ||||
\(177\) | − | 2.40473i | − | 0.180751i | ||||||
\(178\) | −16.7966 | − | 15.7759i | −1.25896 | − | 1.18245i | ||||
\(179\) | − | 6.62757i | − | 0.495368i | −0.968841 | − | 0.247684i | \(-0.920331\pi\) | ||
0.968841 | − | 0.247684i | \(-0.0796694\pi\) | |||||||
\(180\) | 5.94498 | − | 11.6315i | 0.443113 | − | 0.866960i | ||||
\(181\) | − | 7.00488i | − | 0.520668i | −0.965519 | − | 0.260334i | \(-0.916167\pi\) | ||
0.965519 | − | 0.260334i | \(-0.0838327\pi\) | |||||||
\(182\) | −3.50627 | + | 3.73314i | −0.259902 | + | 0.276719i | ||||
\(183\) | 1.74792i | 0.129210i | ||||||||
\(184\) | 0.497801 | − | 13.5555i | 0.0366983 | − | 0.999326i | ||||
\(185\) | 0.700458 | + | 0.415274i | 0.0514987 | + | 0.0305316i | ||||
\(186\) | −1.88597 | − | 1.77136i | −0.138286 | − | 0.129882i | ||||
\(187\) | −20.6596 | −1.51078 | ||||||||
\(188\) | 0.707437 | + | 11.2759i | 0.0515951 | + | 0.822381i | ||||
\(189\) | 1.09008i | 0.0792918i | ||||||||
\(190\) | −21.7275 | + | 6.28484i | −1.57628 | + | 0.455951i | ||||
\(191\) | −22.3243 | −1.61533 | −0.807664 | − | 0.589644i | \(-0.799268\pi\) | ||||
−0.807664 | + | 0.589644i | \(0.799268\pi\) | |||||||
\(192\) | 0.420414 | + | 2.21020i | 0.0303408 | + | 0.159507i | ||||
\(193\) | − | 0.678683i | − | 0.0488527i | −0.999702 | − | 0.0244263i | \(-0.992224\pi\) | ||
0.999702 | − | 0.0244263i | \(-0.00777592\pi\) | |||||||
\(194\) | 13.2225 | − | 14.0781i | 0.949321 | − | 1.01075i | ||||
\(195\) | 1.77406 | − | 2.99237i | 0.127043 | − | 0.214288i | ||||
\(196\) | −0.822949 | − | 13.1171i | −0.0587821 | − | 0.936934i | ||||
\(197\) | − | 9.91923i | − | 0.706716i | −0.935488 | − | 0.353358i | \(-0.885040\pi\) | ||
0.935488 | − | 0.353358i | \(-0.114960\pi\) | |||||||
\(198\) | 10.8352 | − | 11.5363i | 0.770023 | − | 0.819847i | ||||
\(199\) | −19.4256 | −1.37704 | −0.688521 | − | 0.725216i | \(-0.741740\pi\) | ||||
−0.688521 | + | 0.725216i | \(0.741740\pi\) | |||||||
\(200\) | −2.68370 | + | 13.8852i | −0.189766 | + | 0.981829i | ||||
\(201\) | − | 2.30530i | − | 0.162603i | ||||||
\(202\) | −0.589837 | + | 0.628003i | −0.0415008 | + | 0.0441861i | ||||
\(203\) | 0.895602i | 0.0628589i | ||||||||
\(204\) | 0.189905 | + | 3.02691i | 0.0132960 | + | 0.211926i | ||||
\(205\) | 11.5075 | + | 6.82234i | 0.803719 | + | 0.476493i | ||||
\(206\) | −11.6165 | − | 10.9105i | −0.809358 | − | 0.760171i | ||||
\(207\) | 8.52996 | + | 11.1117i | 0.592873 | + | 0.772315i | ||||
\(208\) | −2.76564 | − | 21.9542i | −0.191763 | − | 1.52225i | ||||
\(209\) | −27.4042 | −1.89559 | ||||||||
\(210\) | −0.161774 | − | 0.559271i | −0.0111634 | − | 0.0385933i | ||||
\(211\) | − | 4.05469i | − | 0.279136i | −0.990212 | − | 0.139568i | \(-0.955429\pi\) | ||
0.990212 | − | 0.139568i | \(-0.0445715\pi\) | |||||||
\(212\) | 0.614920 | + | 9.80127i | 0.0422329 | + | 0.673154i | ||||
\(213\) | 1.68200i | 0.115249i | ||||||||
\(214\) | −7.17413 | − | 6.73814i | −0.490414 | − | 0.460610i | ||||
\(215\) | 2.34400 | − | 3.95370i | 0.159859 | − | 0.269640i | ||||
\(216\) | −3.62810 | − | 3.00303i | −0.246861 | − | 0.204330i | ||||
\(217\) | 4.25891 | 0.289114 | ||||||||
\(218\) | −11.7122 | − | 11.0004i | −0.793249 | − | 0.745042i | ||||
\(219\) | − | 1.83790i | − | 0.124194i | ||||||
\(220\) | −7.79815 | + | 15.2573i | −0.525751 | + | 1.02864i | ||||
\(221\) | − | 29.8290i | − | 2.00652i | ||||||
\(222\) | 0.0991565 | − | 0.105572i | 0.00665495 | − | 0.00708556i | ||||
\(223\) | 3.45116 | 0.231107 | 0.115553 | − | 0.993301i | \(-0.463136\pi\) | ||||
0.115553 | + | 0.993301i | \(0.463136\pi\) | |||||||
\(224\) | −2.99506 | − | 2.17804i | −0.200116 | − | 0.145527i | ||||
\(225\) | −7.00807 | − | 12.8133i | −0.467205 | − | 0.854218i | ||||
\(226\) | −6.22803 | + | 6.63102i | −0.414283 | + | 0.441089i | ||||
\(227\) | 21.6513i | 1.43705i | 0.695501 | + | 0.718525i | \(0.255182\pi\) | ||||
−0.695501 | + | 0.718525i | \(0.744818\pi\) | |||||||
\(228\) | 0.251901 | + | 4.01508i | 0.0166826 | + | 0.265905i | ||||
\(229\) | 20.8162i | 1.37557i | 0.725914 | + | 0.687786i | \(0.241417\pi\) | ||||
−0.725914 | + | 0.687786i | \(0.758583\pi\) | |||||||
\(230\) | −12.2139 | − | 8.99008i | −0.805358 | − | 0.592788i | ||||
\(231\) | − | 0.705391i | − | 0.0464113i | ||||||
\(232\) | −2.98081 | − | 2.46726i | −0.195700 | − | 0.161984i | ||||
\(233\) | − | 5.50864i | − | 0.360883i | −0.983586 | − | 0.180442i | \(-0.942247\pi\) | ||
0.983586 | − | 0.180442i | \(-0.0577527\pi\) | |||||||
\(234\) | 16.6564 | + | 15.6442i | 1.08887 | + | 1.02269i | ||||
\(235\) | 10.8656 | + | 6.44180i | 0.708795 | + | 0.420216i | ||||
\(236\) | −17.0681 | + | 1.07083i | −1.11104 | + | 0.0697050i | ||||
\(237\) | 0.747456 | 0.0485525 | ||||||||
\(238\) | −3.63883 | − | 3.41769i | −0.235870 | − | 0.221536i | ||||
\(239\) | 22.0392i | 1.42560i | 0.701369 | + | 0.712798i | \(0.252572\pi\) | ||||
−0.701369 | + | 0.712798i | \(0.747428\pi\) | |||||||
\(240\) | 2.30707 | + | 1.00229i | 0.148921 | + | 0.0646974i | ||||
\(241\) | − | 11.4536i | − | 0.737793i | −0.929470 | − | 0.368897i | \(-0.879736\pi\) | ||
0.929470 | − | 0.368897i | \(-0.120264\pi\) | |||||||
\(242\) | −3.56268 | + | 3.79320i | −0.229018 | + | 0.243836i | ||||
\(243\) | 7.32803 | 0.470093 | ||||||||
\(244\) | 12.4062 | − | 0.778350i | 0.794226 | − | 0.0498287i | ||||
\(245\) | −12.6398 | − | 7.49363i | −0.807526 | − | 0.478750i | ||||
\(246\) | 1.62900 | − | 1.73440i | 0.103861 | − | 0.110581i | ||||
\(247\) | − | 39.5670i | − | 2.51759i | ||||||
\(248\) | −11.7327 | + | 14.1748i | −0.745029 | + | 0.900104i | ||||
\(249\) | − | 4.40836i | − | 0.279368i | ||||||
\(250\) | 11.1430 | + | 11.2176i | 0.704744 | + | 0.709461i | ||||
\(251\) | 12.9871 | 0.819740 | 0.409870 | − | 0.912144i | \(-0.365574\pi\) | ||||
0.409870 | + | 0.912144i | \(0.365574\pi\) | |||||||
\(252\) | 3.81686 | − | 0.239465i | 0.240439 | − | 0.0150849i | ||||
\(253\) | −11.1889 | − | 14.5754i | −0.703441 | − | 0.916348i | ||||
\(254\) | −15.9110 | + | 16.9406i | −0.998348 | + | 1.06295i | ||||
\(255\) | 2.91677 | + | 1.72924i | 0.182655 | + | 0.108289i | ||||
\(256\) | 15.5001 | − | 3.96818i | 0.968757 | − | 0.248011i | ||||
\(257\) | 17.1866i | 1.07207i | 0.844195 | + | 0.536036i | \(0.180079\pi\) | ||||
−0.844195 | + | 0.536036i | \(0.819921\pi\) | |||||||
\(258\) | −0.595899 | − | 0.559684i | −0.0370990 | − | 0.0348444i | ||||
\(259\) | 0.238404i | 0.0148137i | ||||||||
\(260\) | −22.0289 | − | 11.2592i | −1.36617 | − | 0.698267i | ||||
\(261\) | 3.99597 | 0.247344 | ||||||||
\(262\) | 14.4752 | + | 13.5955i | 0.894281 | + | 0.839933i | ||||
\(263\) | − | 10.8553i | − | 0.669367i | −0.942331 | − | 0.334684i | \(-0.891371\pi\) | ||
0.942331 | − | 0.334684i | \(-0.108629\pi\) | |||||||
\(264\) | 2.34774 | + | 1.94326i | 0.144493 | + | 0.119599i | ||||
\(265\) | 9.44463 | + | 5.59935i | 0.580179 | + | 0.343965i | ||||
\(266\) | −4.82677 | − | 4.53343i | −0.295948 | − | 0.277963i | ||||
\(267\) | 4.58241i | 0.280439i | ||||||||
\(268\) | −16.3623 | + | 1.02655i | −0.999488 | + | 0.0627067i | ||||
\(269\) | −27.3295 | −1.66631 | −0.833156 | − | 0.553038i | \(-0.813468\pi\) | ||||
−0.833156 | + | 0.553038i | \(0.813468\pi\) | |||||||
\(270\) | −5.05824 | + | 1.46314i | −0.307835 | + | 0.0890437i | ||||
\(271\) | 25.0950i | 1.52441i | 0.647335 | + | 0.762206i | \(0.275884\pi\) | ||||
−0.647335 | + | 0.762206i | \(0.724116\pi\) | |||||||
\(272\) | 21.3995 | − | 2.69577i | 1.29754 | − | 0.163455i | ||||
\(273\) | 1.01847 | 0.0616403 | ||||||||
\(274\) | −4.06342 | + | 4.32634i | −0.245480 | + | 0.261364i | ||||
\(275\) | 9.19262 | + | 16.8074i | 0.554336 | + | 1.01353i | ||||
\(276\) | −2.03264 | + | 1.77330i | −0.122351 | + | 0.106740i | ||||
\(277\) | 6.08201i | 0.365433i | 0.983166 | + | 0.182716i | \(0.0584890\pi\) | ||||
−0.983166 | + | 0.182716i | \(0.941511\pi\) | |||||||
\(278\) | 18.8505 | + | 17.7050i | 1.13058 | + | 1.06187i | ||||
\(279\) | − | 19.0023i | − | 1.13764i | ||||||
\(280\) | −3.89749 | + | 1.39726i | −0.232920 | + | 0.0835024i | ||||
\(281\) | − | 19.5601i | − | 1.16686i | −0.812163 | − | 0.583430i | \(-0.801710\pi\) | ||
0.812163 | − | 0.583430i | \(-0.198290\pi\) | |||||||
\(282\) | 1.53813 | − | 1.63766i | 0.0915944 | − | 0.0975210i | ||||
\(283\) | − | 18.8637i | − | 1.12133i | −0.828042 | − | 0.560666i | \(-0.810545\pi\) | ||
0.828042 | − | 0.560666i | \(-0.189455\pi\) | |||||||
\(284\) | 11.9383 | − | 0.748997i | 0.708410 | − | 0.0444448i | ||||
\(285\) | 3.86898 | + | 2.29377i | 0.229179 | + | 0.135871i | ||||
\(286\) | −21.8486 | − | 20.5208i | −1.29193 | − | 1.21342i | ||||
\(287\) | 3.91663i | 0.231191i | ||||||||
\(288\) | −9.71793 | + | 13.3633i | −0.572634 | + | 0.787438i | ||||
\(289\) | 12.0754 | 0.710319 | ||||||||
\(290\) | −4.15581 | + | 1.20210i | −0.244037 | + | 0.0705898i | ||||
\(291\) | −3.84074 | −0.225148 | ||||||||
\(292\) | −13.0448 | + | 0.818416i | −0.763391 | + | 0.0478942i | ||||
\(293\) | 20.6808 | 1.20818 | 0.604092 | − | 0.796914i | \(-0.293536\pi\) | ||||
0.604092 | + | 0.796914i | \(0.293536\pi\) | |||||||
\(294\) | −1.78928 | + | 1.90506i | −0.104353 | + | 0.111105i | ||||
\(295\) | −9.75078 | + | 16.4470i | −0.567712 | + | 0.957581i | ||||
\(296\) | −0.793475 | − | 0.656771i | −0.0461198 | − | 0.0381740i | ||||
\(297\) | −6.37981 | −0.370194 | ||||||||
\(298\) | 13.3219 | + | 12.5123i | 0.771720 | + | 0.724820i | ||||
\(299\) | 21.0444 | − | 16.1549i | 1.21703 | − | 0.934263i | ||||
\(300\) | 2.37801 | − | 1.50134i | 0.137295 | − | 0.0866797i | ||||
\(301\) | 1.34566 | 0.0775626 | ||||||||
\(302\) | −2.64914 | − | 2.48814i | −0.152441 | − | 0.143177i | ||||
\(303\) | 0.171330 | 0.00984264 | ||||||||
\(304\) | 28.3856 | − | 3.57583i | 1.62803 | − | 0.205088i | ||||
\(305\) | 7.08752 | − | 11.9548i | 0.405830 | − | 0.684529i | ||||
\(306\) | −15.2490 | + | 16.2356i | −0.871725 | + | 0.928130i | ||||
\(307\) | −7.19481 | −0.410630 | −0.205315 | − | 0.978696i | \(-0.565822\pi\) | ||||
−0.205315 | + | 0.978696i | \(0.565822\pi\) | |||||||
\(308\) | −5.00665 | + | 0.314111i | −0.285280 | + | 0.0178981i | ||||
\(309\) | 3.16917i | 0.180288i | ||||||||
\(310\) | 5.71643 | + | 19.7624i | 0.324671 | + | 1.12243i | ||||
\(311\) | − | 25.6535i | − | 1.45468i | −0.686279 | − | 0.727338i | \(-0.740757\pi\) | ||
0.686279 | − | 0.727338i | \(-0.259243\pi\) | |||||||
\(312\) | −2.80574 | + | 3.38974i | −0.158843 | + | 0.191906i | ||||
\(313\) | −30.7114 | −1.73591 | −0.867954 | − | 0.496644i | \(-0.834565\pi\) | ||||
−0.867954 | + | 0.496644i | \(0.834565\pi\) | |||||||
\(314\) | 2.50353 | − | 2.66552i | 0.141282 | − | 0.150424i | ||||
\(315\) | 2.18053 | − | 3.67797i | 0.122859 | − | 0.207230i | ||||
\(316\) | −0.332842 | − | 5.30521i | −0.0187238 | − | 0.298441i | ||||
\(317\) | − | 5.69841i | − | 0.320055i | −0.987113 | − | 0.160027i | \(-0.948842\pi\) | ||
0.987113 | − | 0.160027i | \(-0.0511582\pi\) | |||||||
\(318\) | 1.33698 | − | 1.42349i | 0.0749740 | − | 0.0798252i | ||||
\(319\) | −5.24159 | −0.293473 | ||||||||
\(320\) | 6.08659 | − | 16.8212i | 0.340251 | − | 0.940335i | ||||
\(321\) | 1.95723i | 0.109242i | ||||||||
\(322\) | 0.440454 | − | 4.41817i | 0.0245455 | − | 0.246215i | ||||
\(323\) | 38.5674 | 2.14595 | ||||||||
\(324\) | −1.03872 | − | 16.5563i | −0.0577069 | − | 0.919797i | ||||
\(325\) | −24.2671 | + | 13.2726i | −1.34610 | + | 0.736231i | ||||
\(326\) | 1.71237 | − | 1.82317i | 0.0948395 | − | 0.100976i | ||||
\(327\) | 3.19528i | 0.176700i | ||||||||
\(328\) | −13.0356 | − | 10.7898i | −0.719772 | − | 0.595766i | ||||
\(329\) | 3.69816i | 0.203886i | ||||||||
\(330\) | 3.27318 | − | 0.946795i | 0.180183 | − | 0.0521194i | ||||
\(331\) | − | 0.289786i | − | 0.0159281i | −0.999968 | − | 0.00796403i | \(-0.997465\pi\) | ||
0.999968 | − | 0.00796403i | \(-0.00253506\pi\) | |||||||
\(332\) | −31.2892 | + | 1.96304i | −1.71722 | + | 0.107736i | ||||
\(333\) | 1.06370 | 0.0582906 | ||||||||
\(334\) | −12.7864 | + | 13.6138i | −0.699643 | + | 0.744913i | ||||
\(335\) | −9.34760 | + | 15.7670i | −0.510714 | + | 0.861441i | ||||
\(336\) | 0.0920429 | + | 0.730654i | 0.00502135 | + | 0.0398604i | ||||
\(337\) | 19.0234 | 1.03627 | 0.518134 | − | 0.855299i | \(-0.326627\pi\) | ||||
0.518134 | + | 0.855299i | \(0.326627\pi\) | |||||||
\(338\) | 17.0421 | − | 18.1448i | 0.926969 | − | 0.986949i | ||||
\(339\) | 1.80905 | 0.0982544 | ||||||||
\(340\) | 10.9748 | − | 21.4724i | 0.595190 | − | 1.16450i | ||||
\(341\) | 24.9257i | 1.34980i | ||||||||
\(342\) | −20.2271 | + | 21.5359i | −1.09376 | + | 1.16453i | ||||
\(343\) | − | 8.88457i | − | 0.479722i | ||||||
\(344\) | −3.70711 | + | 4.47873i | −0.199874 | + | 0.241477i | ||||
\(345\) | 0.359695 | + | 2.99432i | 0.0193653 | + | 0.161209i | ||||
\(346\) | −2.60958 | − | 2.45099i | −0.140292 | − | 0.131766i | ||||
\(347\) | −15.5843 | −0.836607 | −0.418304 | − | 0.908307i | \(-0.637375\pi\) | ||||
−0.418304 | + | 0.908307i | \(0.637375\pi\) | |||||||
\(348\) | 0.0481811 | + | 0.767964i | 0.00258278 | + | 0.0411672i | ||||
\(349\) | 12.3741 | 0.662369 | 0.331185 | − | 0.943566i | \(-0.392552\pi\) | ||||
0.331185 | + | 0.943566i | \(0.392552\pi\) | |||||||
\(350\) | −1.16131 | + | 4.48106i | −0.0620745 | + | 0.239523i | ||||
\(351\) | − | 9.21136i | − | 0.491666i | ||||||
\(352\) | 12.7472 | − | 17.5289i | 0.679428 | − | 0.934291i | ||||
\(353\) | 19.9365i | 1.06111i | 0.847650 | + | 0.530556i | \(0.178017\pi\) | ||||
−0.847650 | + | 0.530556i | \(0.821983\pi\) | |||||||
\(354\) | 2.47888 | + | 2.32823i | 0.131751 | + | 0.123744i | ||||
\(355\) | 6.82023 | − | 11.5039i | 0.361980 | − | 0.610566i | ||||
\(356\) | 32.5245 | − | 2.04055i | 1.72380 | − | 0.108149i | ||||
\(357\) | 0.992735i | 0.0525411i | ||||||||
\(358\) | 6.83191 | + | 6.41672i | 0.361078 | + | 0.339134i | ||||
\(359\) | −26.9051 | −1.42000 | −0.709999 | − | 0.704203i | \(-0.751305\pi\) | ||||
−0.709999 | + | 0.704203i | \(0.751305\pi\) | |||||||
\(360\) | 6.23427 | + | 17.3897i | 0.328575 | + | 0.916519i | ||||
\(361\) | 32.1581 | 1.69253 | ||||||||
\(362\) | 7.22086 | + | 6.78203i | 0.379520 | + | 0.356455i | ||||
\(363\) | 1.03485 | 0.0543156 | ||||||||
\(364\) | −0.453523 | − | 7.22875i | −0.0237711 | − | 0.378890i | ||||
\(365\) | −7.45236 | + | 12.5702i | −0.390074 | + | 0.657952i | ||||
\(366\) | −1.80181 | − | 1.69231i | −0.0941823 | − | 0.0884586i | ||||
\(367\) | 18.1969i | 0.949871i | 0.880020 | + | 0.474936i | \(0.157529\pi\) | ||||
−0.880020 | + | 0.474936i | \(0.842471\pi\) | |||||||
\(368\) | 13.4915 | + | 13.6374i | 0.703294 | + | 0.710900i | ||||
\(369\) | 17.4751 | 0.909717 | ||||||||
\(370\) | −1.10625 | + | 0.319992i | −0.0575113 | + | 0.0166356i | ||||
\(371\) | 3.21452i | 0.166890i | ||||||||
\(372\) | 3.65195 | − | 0.229119i | 0.189345 | − | 0.0118792i | ||||
\(373\) | 12.5810 | 0.651418 | 0.325709 | − | 0.945470i | \(-0.394397\pi\) | ||||
0.325709 | + | 0.945470i | \(0.394397\pi\) | |||||||
\(374\) | 20.0024 | − | 21.2966i | 1.03430 | − | 1.10122i | ||||
\(375\) | 0.108970 | − | 3.14234i | 0.00562717 | − | 0.162270i | ||||
\(376\) | −12.3085 | − | 10.1879i | −0.634763 | − | 0.525403i | ||||
\(377\) | − | 7.56798i | − | 0.389771i | ||||||
\(378\) | −1.12369 | − | 1.05540i | −0.0577965 | − | 0.0542840i | ||||
\(379\) | −10.9642 | −0.563192 | −0.281596 | − | 0.959533i | \(-0.590864\pi\) | ||||
−0.281596 | + | 0.959533i | \(0.590864\pi\) | |||||||
\(380\) | 14.5576 | − | 28.4823i | 0.746789 | − | 1.46111i | ||||
\(381\) | 4.62168 | 0.236776 | ||||||||
\(382\) | 21.6140 | − | 23.0126i | 1.10587 | − | 1.17743i | ||||
\(383\) | 4.76207i | 0.243330i | 0.992571 | + | 0.121665i | \(0.0388234\pi\) | ||||
−0.992571 | + | 0.121665i | \(0.961177\pi\) | |||||||
\(384\) | −2.68539 | − | 1.70651i | −0.137038 | − | 0.0870849i | ||||
\(385\) | −2.86024 | + | 4.82447i | −0.145771 | + | 0.245878i | ||||
\(386\) | 0.699609 | + | 0.657091i | 0.0356091 | + | 0.0334451i | ||||
\(387\) | − | 6.00403i | − | 0.305202i | ||||||
\(388\) | 1.71028 | + | 27.2604i | 0.0868264 | + | 1.38394i | ||||
\(389\) | 22.6828i | 1.15006i | 0.818132 | + | 0.575031i | \(0.195010\pi\) | ||||
−0.818132 | + | 0.575031i | \(0.804990\pi\) | |||||||
\(390\) | 1.36701 | + | 4.72592i | 0.0692214 | + | 0.239307i | ||||
\(391\) | 15.7468 | + | 20.5128i | 0.796349 | + | 1.03738i | ||||
\(392\) | 14.3183 | + | 11.8514i | 0.723182 | + | 0.598588i | ||||
\(393\) | − | 3.94908i | − | 0.199205i | ||||||
\(394\) | 10.2251 | + | 9.60367i | 0.515132 | + | 0.483826i | ||||
\(395\) | −5.11217 | − | 3.03080i | −0.257221 | − | 0.152496i | ||||
\(396\) | 1.40149 | + | 22.3385i | 0.0704276 | + | 1.12255i | ||||
\(397\) | 21.3718i | 1.07262i | 0.844021 | + | 0.536310i | \(0.180182\pi\) | ||||
−0.844021 | + | 0.536310i | \(0.819818\pi\) | |||||||
\(398\) | 18.8076 | − | 20.0245i | 0.942738 | − | 1.00374i | ||||
\(399\) | 1.31682i | 0.0659237i | ||||||||
\(400\) | −11.7150 | − | 16.2099i | −0.585748 | − | 0.810493i | ||||
\(401\) | 32.0721i | 1.60160i | 0.598930 | + | 0.800801i | \(0.295593\pi\) | ||||
−0.598930 | + | 0.800801i | \(0.704407\pi\) | |||||||
\(402\) | 2.37638 | + | 2.23196i | 0.118523 | + | 0.111320i | ||||
\(403\) | −35.9885 | −1.79271 | ||||||||
\(404\) | −0.0762933 | − | 1.21605i | −0.00379573 | − | 0.0605006i | ||||
\(405\) | −15.9539 | − | 9.45844i | −0.792756 | − | 0.469994i | ||||
\(406\) | −0.923215 | − | 0.867109i | −0.0458184 | − | 0.0430339i | ||||
\(407\) | −1.39528 | −0.0691616 | ||||||||
\(408\) | −3.30410 | − | 2.73485i | −0.163577 | − | 0.135395i | ||||
\(409\) | 18.9559 | 0.937308 | 0.468654 | − | 0.883382i | \(-0.344739\pi\) | ||||
0.468654 | + | 0.883382i | \(0.344739\pi\) | |||||||
\(410\) | −18.1741 | + | 5.25701i | −0.897555 | + | 0.259625i | ||||
\(411\) | 1.18030 | 0.0582199 | ||||||||
\(412\) | 22.4938 | − | 1.41123i | 1.10819 | − | 0.0695265i | ||||
\(413\) | −5.59781 | −0.275450 | ||||||||
\(414\) | −19.7129 | − | 1.96521i | −0.968834 | − | 0.0965846i | ||||
\(415\) | −17.8751 | + | 30.1507i | −0.877456 | + | 1.48004i | ||||
\(416\) | 25.3087 | + | 18.4048i | 1.24086 | + | 0.902370i | ||||
\(417\) | − | 5.14275i | − | 0.251842i | ||||||
\(418\) | 26.5323 | − | 28.2491i | 1.29774 | − | 1.38171i | ||||
\(419\) | −1.24267 | −0.0607086 | −0.0303543 | − | 0.999539i | \(-0.509664\pi\) | ||||
−0.0303543 | + | 0.999539i | \(0.509664\pi\) | |||||||
\(420\) | 0.733141 | + | 0.374716i | 0.0357736 | + | 0.0182843i | ||||
\(421\) | − | 6.09732i | − | 0.297165i | −0.988900 | − | 0.148583i | \(-0.952529\pi\) | ||
0.988900 | − | 0.148583i | \(-0.0474711\pi\) | |||||||
\(422\) | 4.17971 | + | 3.92570i | 0.203465 | + | 0.191100i | ||||
\(423\) | 16.5003 | 0.802274 | ||||||||
\(424\) | −10.6988 | − | 8.85558i | −0.519581 | − | 0.430065i | ||||
\(425\) | −12.9373 | − | 23.6540i | −0.627550 | − | 1.14739i | ||||
\(426\) | −1.73386 | − | 1.62849i | −0.0840059 | − | 0.0789007i | ||||
\(427\) | 4.06886 | 0.196906 | ||||||||
\(428\) | 13.8918 | − | 0.871554i | 0.671485 | − | 0.0421282i | ||||
\(429\) | 5.96066i | 0.287784i | ||||||||
\(430\) | 1.80618 | + | 6.24419i | 0.0871019 | + | 0.301122i | ||||
\(431\) | −12.3343 | −0.594124 | −0.297062 | − | 0.954858i | \(-0.596007\pi\) | ||||
−0.297062 | + | 0.954858i | \(0.596007\pi\) | |||||||
\(432\) | 6.60829 | − | 0.832469i | 0.317942 | − | 0.0400522i | ||||
\(433\) | −28.5488 | −1.37197 | −0.685983 | − | 0.727617i | \(-0.740628\pi\) | ||||
−0.685983 | + | 0.727617i | \(0.740628\pi\) | |||||||
\(434\) | −4.12342 | + | 4.39022i | −0.197930 | + | 0.210737i | ||||
\(435\) | 0.740020 | + | 0.438729i | 0.0354812 | + | 0.0210354i | ||||
\(436\) | 22.6792 | − | 1.42286i | 1.08613 | − | 0.0681427i | ||||
\(437\) | 20.8875 | + | 27.2094i | 0.999184 | + | 1.30160i | ||||
\(438\) | 1.89456 | + | 1.77943i | 0.0905257 | + | 0.0850243i | ||||
\(439\) | − | 8.91781i | − | 0.425624i | −0.977093 | − | 0.212812i | \(-0.931738\pi\) | ||
0.977093 | − | 0.212812i | \(-0.0682621\pi\) | |||||||
\(440\) | −8.17761 | − | 22.8104i | −0.389852 | − | 1.08745i | ||||
\(441\) | −19.1946 | −0.914027 | ||||||||
\(442\) | 30.7487 | + | 28.8800i | 1.46257 | + | 1.37368i | ||||
\(443\) | −37.6705 | −1.78978 | −0.894889 | − | 0.446289i | \(-0.852745\pi\) | ||||
−0.894889 | + | 0.446289i | \(0.852745\pi\) | |||||||
\(444\) | 0.0128255 | + | 0.204427i | 0.000608673 | + | 0.00970170i | ||||
\(445\) | 18.5809 | − | 31.3411i | 0.880818 | − | 1.48571i | ||||
\(446\) | −3.34137 | + | 3.55757i | −0.158218 | + | 0.168456i | ||||
\(447\) | − | 3.63446i | − | 0.171904i | ||||||
\(448\) | 5.14497 | − | 0.978653i | 0.243077 | − | 0.0462370i | ||||
\(449\) | −16.8125 | −0.793431 | −0.396715 | − | 0.917942i | \(-0.629850\pi\) | ||||
−0.396715 | + | 0.917942i | \(0.629850\pi\) | |||||||
\(450\) | 19.9935 | + | 5.18149i | 0.942500 | + | 0.244258i | ||||
\(451\) | −22.9224 | −1.07938 | ||||||||
\(452\) | −0.805573 | − | 12.8401i | −0.0378910 | − | 0.603948i | ||||
\(453\) | 0.722730i | 0.0339568i | ||||||||
\(454\) | −22.3189 | − | 20.9625i | −1.04748 | − | 0.983820i | ||||
\(455\) | −6.96572 | − | 4.12970i | −0.326558 | − | 0.193603i | ||||
\(456\) | −4.38276 | − | 3.62768i | −0.205242 | − | 0.169881i | ||||
\(457\) | 23.2244 | 1.08639 | 0.543196 | − | 0.839606i | \(-0.317214\pi\) | ||||
0.543196 | + | 0.839606i | \(0.317214\pi\) | |||||||
\(458\) | −21.4580 | − | 20.1539i | −1.00267 | − | 0.941731i | ||||
\(459\) | 8.97865 | 0.419088 | ||||||||
\(460\) | 21.0926 | − | 3.88638i | 0.983446 | − | 0.181203i | ||||
\(461\) | −2.97543 | −0.138579 | −0.0692897 | − | 0.997597i | \(-0.522073\pi\) | ||||
−0.0692897 | + | 0.997597i | \(0.522073\pi\) | |||||||
\(462\) | 0.727140 | + | 0.682950i | 0.0338296 | + | 0.0317737i | ||||
\(463\) | −13.7510 | −0.639063 | −0.319532 | − | 0.947576i | \(-0.603526\pi\) | ||||
−0.319532 | + | 0.947576i | \(0.603526\pi\) | |||||||
\(464\) | 5.42932 | − | 0.683949i | 0.252050 | − | 0.0317516i | ||||
\(465\) | 2.08631 | − | 3.51906i | 0.0967505 | − | 0.163193i | ||||
\(466\) | 5.67849 | + | 5.33339i | 0.263051 | + | 0.247064i | ||||
\(467\) | − | 5.53901i | − | 0.256315i | −0.991754 | − | 0.128157i | \(-0.959094\pi\) | ||
0.991754 | − | 0.128157i | \(-0.0409063\pi\) | |||||||
\(468\) | −32.2531 | + | 2.02352i | −1.49090 | + | 0.0935371i | ||||
\(469\) | −5.36635 | −0.247795 | ||||||||
\(470\) | −17.1604 | + | 4.96377i | −0.791548 | + | 0.228962i | ||||
\(471\) | −0.727199 | −0.0335076 | ||||||||
\(472\) | 15.4212 | − | 18.6311i | 0.709819 | − | 0.857564i | ||||
\(473\) | 7.87561i | 0.362121i | ||||||||
\(474\) | −0.723676 | + | 0.770501i | −0.0332395 | + | 0.0353903i | ||||
\(475\) | −17.1608 | − | 31.3761i | −0.787391 | − | 1.43963i | ||||
\(476\) | 7.04613 | − | 0.442066i | 0.322959 | − | 0.0202620i | ||||
\(477\) | 14.3425 | 0.656696 | ||||||||
\(478\) | −22.7187 | − | 21.3380i | −1.03913 | − | 0.975979i | ||||
\(479\) | −9.33772 | −0.426651 | −0.213326 | − | 0.976981i | \(-0.568430\pi\) | ||||
−0.213326 | + | 0.976981i | \(0.568430\pi\) | |||||||
\(480\) | −3.26687 | + | 1.40781i | −0.149111 | + | 0.0642572i | ||||
\(481\) | − | 2.01455i | − | 0.0918556i | ||||||
\(482\) | 11.8068 | + | 11.0892i | 0.537784 | + | 0.505101i | ||||
\(483\) | −0.700377 | + | 0.537650i | −0.0318682 | + | 0.0244639i | ||||
\(484\) | −0.460820 | − | 7.34506i | −0.0209463 | − | 0.333866i | ||||
\(485\) | 26.2685 | + | 15.5735i | 1.19279 | + | 0.707158i | ||||
\(486\) | −7.09489 | + | 7.55397i | −0.321831 | + | 0.342655i | ||||
\(487\) | 16.6129 | 0.752801 | 0.376401 | − | 0.926457i | \(-0.377162\pi\) | ||||
0.376401 | + | 0.926457i | \(0.377162\pi\) | |||||||
\(488\) | −11.2092 | + | 13.5423i | −0.507415 | + | 0.613031i | ||||
\(489\) | −0.497392 | −0.0224928 | ||||||||
\(490\) | 19.9623 | − | 5.77427i | 0.901806 | − | 0.260855i | ||||
\(491\) | 12.0468i | 0.543664i | 0.962345 | + | 0.271832i | \(0.0876295\pi\) | ||||
−0.962345 | + | 0.271832i | \(0.912370\pi\) | |||||||
\(492\) | 0.210705 | + | 3.35844i | 0.00949930 | + | 0.151410i | ||||
\(493\) | 7.37678 | 0.332234 | ||||||||
\(494\) | 40.7869 | + | 38.3082i | 1.83509 | + | 1.72357i | ||||
\(495\) | 21.5257 | + | 12.7617i | 0.967508 | + | 0.573597i | ||||
\(496\) | −3.25243 | − | 25.8184i | −0.146038 | − | 1.15928i | ||||
\(497\) | 3.91541 | 0.175630 | ||||||||
\(498\) | 4.54428 | + | 4.26811i | 0.203634 | + | 0.191259i | ||||
\(499\) | 27.5819i | 1.23474i | 0.786675 | + | 0.617368i | \(0.211801\pi\) | ||||
−0.786675 | + | 0.617368i | \(0.788199\pi\) | |||||||
\(500\) | −22.3519 | + | 0.625854i | −0.999608 | + | 0.0279890i | ||||
\(501\) | 3.71407 | 0.165933 | ||||||||
\(502\) | −12.5739 | + | 13.3875i | −0.561203 | + | 0.597515i | ||||
\(503\) | 27.9969i | 1.24832i | 0.781296 | + | 0.624161i | \(0.214559\pi\) | ||||
−0.781296 | + | 0.624161i | \(0.785441\pi\) | |||||||
\(504\) | −3.44858 | + | 4.16639i | −0.153612 | + | 0.185586i | ||||
\(505\) | −1.17180 | − | 0.694713i | −0.0521443 | − | 0.0309143i | ||||
\(506\) | 25.8578 | + | 2.57780i | 1.14952 | + | 0.114597i | ||||
\(507\) | −4.95022 | −0.219847 | ||||||||
\(508\) | −2.05803 | − | 32.8032i | −0.0913105 | − | 1.45541i | ||||
\(509\) | 34.9389 | 1.54864 | 0.774319 | − | 0.632795i | \(-0.218092\pi\) | ||||
0.774319 | + | 0.632795i | \(0.218092\pi\) | |||||||
\(510\) | −4.60653 | + | 1.33248i | −0.203981 | + | 0.0590031i | ||||
\(511\) | −4.27831 | −0.189261 | ||||||||
\(512\) | −10.9165 | + | 19.8200i | −0.482444 | + | 0.875927i | ||||
\(513\) | 11.9098 | 0.525832 | ||||||||
\(514\) | −17.7165 | − | 16.6399i | −0.781443 | − | 0.733953i | ||||
\(515\) | 12.8504 | − | 21.6753i | 0.566258 | − | 0.955129i | ||||
\(516\) | 1.15388 | − | 0.0723931i | 0.0507968 | − | 0.00318693i | ||||
\(517\) | −21.6438 | −0.951895 | ||||||||
\(518\) | −0.245755 | − | 0.230819i | −0.0107978 | − | 0.0101416i | ||||
\(519\) | 0.711937i | 0.0312506i | ||||||||
\(520\) | 32.9344 | − | 11.8071i | 1.44427 | − | 0.517775i | ||||
\(521\) | 14.5055i | 0.635496i | 0.948175 | + | 0.317748i | \(0.102927\pi\) | ||||
−0.948175 | + | 0.317748i | \(0.897073\pi\) | |||||||
\(522\) | −3.86884 | + | 4.11918i | −0.169335 | + | 0.180291i | ||||
\(523\) | − | 36.8502i | − | 1.61135i | −0.592359 | − | 0.805674i | \(-0.701803\pi\) | ||
0.592359 | − | 0.805674i | \(-0.298197\pi\) | |||||||
\(524\) | −28.0294 | + | 1.75853i | −1.22447 | + | 0.0768217i | ||||
\(525\) | 0.807630 | − | 0.441724i | 0.0352479 | − | 0.0192784i | ||||
\(526\) | 11.1900 | + | 10.5100i | 0.487908 | + | 0.458256i | ||||
\(527\) | − | 35.0793i | − | 1.52808i | ||||||
\(528\) | −4.27622 | + | 0.538690i | −0.186099 | + | 0.0234435i | ||||
\(529\) | −5.94359 | + | 22.2188i | −0.258417 | + | 0.966033i | ||||
\(530\) | −14.9162 | + | 4.31462i | −0.647916 | + | 0.187415i | ||||
\(531\) | 24.9761i | 1.08387i | ||||||||
\(532\) | 9.34642 | − | 0.586383i | 0.405219 | − | 0.0254229i | ||||
\(533\) | − | 33.0961i | − | 1.43355i | ||||||
\(534\) | −4.72369 | − | 4.43662i | −0.204414 | − | 0.191991i | ||||
\(535\) | 7.93622 | − | 13.3863i | 0.343113 | − | 0.578741i | ||||
\(536\) | 14.7836 | − | 17.8607i | 0.638553 | − | 0.771465i | ||||
\(537\) | − | 1.86386i | − | 0.0804316i | ||||||
\(538\) | 26.4601 | − | 28.1722i | 1.14078 | − | 1.21459i | ||||
\(539\) | 25.1779 | 1.08449 | ||||||||
\(540\) | 3.38907 | − | 6.63079i | 0.145842 | − | 0.285344i | ||||
\(541\) | −11.3540 | −0.488145 | −0.244073 | − | 0.969757i | \(-0.578484\pi\) | ||||
−0.244073 | + | 0.969757i | \(0.578484\pi\) | |||||||
\(542\) | −25.8687 | − | 24.2966i | −1.11116 | − | 1.04363i | ||||
\(543\) | − | 1.96997i | − | 0.0845396i | ||||||
\(544\) | −17.9398 | + | 24.6693i | −0.769164 | + | 1.05769i | ||||
\(545\) | 12.9563 | − | 21.8539i | 0.554988 | − | 0.936119i | ||||
\(546\) | −0.986064 | + | 1.04987i | −0.0421996 | + | 0.0449302i | ||||
\(547\) | −2.81699 | −0.120446 | −0.0602229 | − | 0.998185i | \(-0.519181\pi\) | ||||
−0.0602229 | + | 0.998185i | \(0.519181\pi\) | |||||||
\(548\) | −0.525588 | − | 8.37740i | −0.0224520 | − | 0.357865i | ||||
\(549\) | − | 18.1543i | − | 0.774808i | ||||||
\(550\) | −26.2258 | − | 6.79666i | −1.11827 | − | 0.289811i | ||||
\(551\) | 9.78502 | 0.416856 | ||||||||
\(552\) | 0.139996 | − | 3.81220i | 0.00595862 | − | 0.162258i | ||||
\(553\) | − | 1.73995i | − | 0.0739902i | ||||||
\(554\) | −6.26954 | − | 5.88852i | −0.266367 | − | 0.250179i | ||||
\(555\) | 0.196989 | + | 0.116787i | 0.00836172 | + | 0.00495733i | ||||
\(556\) | −36.5017 | + | 2.29007i | −1.54802 | + | 0.0971206i | ||||
\(557\) | −6.66780 | −0.282524 | −0.141262 | − | 0.989972i | \(-0.545116\pi\) | ||||
−0.141262 | + | 0.989972i | \(0.545116\pi\) | |||||||
\(558\) | 19.5882 | + | 18.3978i | 0.829234 | + | 0.778839i | ||||
\(559\) | −11.3710 | −0.480944 | ||||||||
\(560\) | 2.33315 | − | 5.37047i | 0.0985938 | − | 0.226944i | ||||
\(561\) | −5.81008 | −0.245302 | ||||||||
\(562\) | 20.1632 | + | 18.9379i | 0.850535 | + | 0.798846i | ||||
\(563\) | 17.4556i | 0.735666i | 0.929892 | + | 0.367833i | \(0.119900\pi\) | ||||
−0.929892 | + | 0.367833i | \(0.880100\pi\) | |||||||
\(564\) | 0.198952 | + | 3.17111i | 0.00837737 | + | 0.133528i | ||||
\(565\) | −12.3729 | − | 7.33541i | −0.520532 | − | 0.308603i | ||||
\(566\) | 19.4454 | + | 18.2636i | 0.817349 | + | 0.767677i | ||||
\(567\) | − | 5.42998i | − | 0.228038i | ||||||
\(568\) | −10.7864 | + | 13.0316i | −0.452589 | + | 0.546794i | ||||
\(569\) | 0.914134i | 0.0383225i | 0.999816 | + | 0.0191613i | \(0.00609959\pi\) | ||||
−0.999816 | + | 0.0191613i | \(0.993900\pi\) | |||||||
\(570\) | −6.11038 | + | 1.76748i | −0.255936 | + | 0.0740315i | ||||
\(571\) | −2.39490 | −0.100224 | −0.0501118 | − | 0.998744i | \(-0.515958\pi\) | ||||
−0.0501118 | + | 0.998744i | \(0.515958\pi\) | |||||||
\(572\) | 42.3070 | − | 2.65429i | 1.76894 | − | 0.110981i | ||||
\(573\) | −6.27822 | −0.262277 | ||||||||
\(574\) | −4.03739 | − | 3.79202i | −0.168517 | − | 0.158276i | ||||
\(575\) | 9.68132 | − | 21.9379i | 0.403739 | − | 0.914874i | ||||
\(576\) | −4.36653 | − | 22.9557i | −0.181939 | − | 0.956487i | ||||
\(577\) | 21.6501i | 0.901307i | 0.892699 | + | 0.450654i | \(0.148809\pi\) | ||||
−0.892699 | + | 0.450654i | \(0.851191\pi\) | |||||||
\(578\) | −11.6913 | + | 12.4477i | −0.486292 | + | 0.517757i | ||||
\(579\) | − | 0.190865i | − | 0.00793209i | ||||||
\(580\) | 2.78443 | − | 5.44780i | 0.115617 | − | 0.226208i | ||||
\(581\) | −10.2619 | −0.425736 | ||||||||
\(582\) | 3.71855 | − | 3.95916i | 0.154139 | − | 0.164112i | ||||
\(583\) | −18.8133 | −0.779167 | ||||||||
\(584\) | 11.7862 | − | 14.2394i | 0.487715 | − | 0.589231i | ||||
\(585\) | −18.4258 | + | 31.0795i | −0.761813 | + | 1.28498i | ||||
\(586\) | −20.0229 | + | 21.3184i | −0.827137 | + | 0.880656i | ||||
\(587\) | −27.9584 | −1.15396 | −0.576982 | − | 0.816757i | \(-0.695770\pi\) | ||||
−0.576982 | + | 0.816757i | \(0.695770\pi\) | |||||||
\(588\) | −0.231437 | − | 3.68890i | −0.00954429 | − | 0.152128i | ||||
\(589\) | − | 46.5313i | − | 1.91729i | ||||||
\(590\) | −7.51353 | − | 25.9752i | −0.309327 | − | 1.06938i | ||||
\(591\) | − | 2.78957i | − | 0.114748i | ||||||
\(592\) | 1.44525 | − | 0.182063i | 0.0593995 | − | 0.00748276i | ||||
\(593\) | 22.7821i | 0.935547i | 0.883848 | + | 0.467773i | \(0.154944\pi\) | ||||
−0.883848 | + | 0.467773i | \(0.845056\pi\) | |||||||
\(594\) | 6.17684 | − | 6.57651i | 0.253439 | − | 0.269838i | ||||
\(595\) | 4.02537 | − | 6.78974i | 0.165024 | − | 0.278352i | ||||
\(596\) | −25.7963 | + | 1.61842i | −1.05666 | + | 0.0662933i | ||||
\(597\) | −5.46303 | −0.223587 | ||||||||
\(598\) | −3.72191 | + | 37.3342i | −0.152200 | + | 1.52671i | ||||
\(599\) | 25.3111i | 1.03418i | 0.855930 | + | 0.517092i | \(0.172985\pi\) | ||||
−0.855930 | + | 0.517092i | \(0.827015\pi\) | |||||||
\(600\) | −0.754732 | + | 3.90491i | −0.0308118 | + | 0.159417i | ||||
\(601\) | −19.2016 | −0.783251 | −0.391625 | − | 0.920125i | \(-0.628087\pi\) | ||||
−0.391625 | + | 0.920125i | \(0.628087\pi\) | |||||||
\(602\) | −1.30285 | + | 1.38715i | −0.0531002 | + | 0.0565360i | ||||
\(603\) | 23.9434i | 0.975052i | ||||||||
\(604\) | 5.12972 | − | 0.321832i | 0.208725 | − | 0.0130952i | ||||
\(605\) | −7.07779 | − | 4.19614i | −0.287753 | − | 0.170597i | ||||
\(606\) | −0.165879 | + | 0.176612i | −0.00673838 | + | 0.00717439i | ||||
\(607\) | −32.0992 | −1.30286 | −0.651432 | − | 0.758707i | \(-0.725832\pi\) | ||||
−0.651432 | + | 0.758707i | \(0.725832\pi\) | |||||||
\(608\) | −23.7965 | + | 32.7229i | −0.965075 | + | 1.32709i | ||||
\(609\) | 0.251869i | 0.0102062i | ||||||||
\(610\) | 5.46134 | + | 18.8805i | 0.221123 | + | 0.764449i | ||||
\(611\) | − | 31.2500i | − | 1.26424i | ||||||
\(612\) | −1.97240 | − | 31.4382i | −0.0797294 | − | 1.27082i | ||||
\(613\) | −34.4018 | −1.38947 | −0.694737 | − | 0.719264i | \(-0.744479\pi\) | ||||
−0.694737 | + | 0.719264i | \(0.744479\pi\) | |||||||
\(614\) | 6.96592 | − | 7.41665i | 0.281122 | − | 0.299311i | ||||
\(615\) | 3.23624 | + | 1.91864i | 0.130498 | + | 0.0773670i | ||||
\(616\) | 4.52357 | − | 5.46513i | 0.182260 | − | 0.220197i | ||||
\(617\) | −24.5692 | −0.989117 | −0.494559 | − | 0.869144i | \(-0.664670\pi\) | ||||
−0.494559 | + | 0.869144i | \(0.664670\pi\) | |||||||
\(618\) | −3.26688 | − | 3.06835i | −0.131413 | − | 0.123427i | ||||
\(619\) | −11.3810 | −0.457441 | −0.228720 | − | 0.973492i | \(-0.573454\pi\) | ||||
−0.228720 | + | 0.973492i | \(0.573454\pi\) | |||||||
\(620\) | −25.9063 | − | 13.2410i | −1.04042 | − | 0.531770i | ||||
\(621\) | 4.86269 | + | 6.33446i | 0.195133 | + | 0.254193i | ||||
\(622\) | 26.4445 | + | 24.8374i | 1.06033 | + | 0.995887i | ||||
\(623\) | 10.6671 | 0.427367 | ||||||||
\(624\) | −0.777777 | − | 6.17414i | −0.0311360 | − | 0.247163i | ||||
\(625\) | −13.4870 | + | 21.0500i | −0.539478 | + | 0.842000i | ||||
\(626\) | 29.7343 | − | 31.6583i | 1.18842 | − | 1.26532i | ||||
\(627\) | −7.70684 | −0.307782 | ||||||||
\(628\) | 0.323822 | + | 5.16144i | 0.0129219 | + | 0.205964i | ||||
\(629\) | 1.96366 | 0.0782961 | ||||||||
\(630\) | 1.68022 | + | 5.80872i | 0.0669416 | + | 0.231425i | ||||
\(631\) | 35.3367 | 1.40673 | 0.703366 | − | 0.710828i | \(-0.251680\pi\) | ||||
0.703366 | + | 0.710828i | \(0.251680\pi\) | |||||||
\(632\) | 5.79104 | + | 4.79333i | 0.230355 | + | 0.190668i | ||||
\(633\) | − | 1.14030i | − | 0.0453227i | ||||||
\(634\) | 5.87411 | + | 5.51712i | 0.233291 | + | 0.219113i | ||||
\(635\) | −31.6096 | − | 18.7401i | −1.25439 | − | 0.743678i | ||||
\(636\) | 0.172933 | + | 2.75640i | 0.00685724 | + | 0.109298i | ||||
\(637\) | 36.3526i | 1.44034i | ||||||||
\(638\) | 5.07484 | − | 5.40321i | 0.200915 | − | 0.213915i | ||||
\(639\) | − | 17.4697i | − | 0.691090i | ||||||
\(640\) | 11.4469 | + | 22.5603i | 0.452479 | + | 0.891775i | ||||
\(641\) | 16.5488i | 0.653638i | 0.945087 | + | 0.326819i | \(0.105977\pi\) | ||||
−0.945087 | + | 0.326819i | \(0.894023\pi\) | |||||||
\(642\) | −2.01757 | − | 1.89496i | −0.0796272 | − | 0.0747881i | ||||
\(643\) | 4.87109i | 0.192097i | 0.995377 | + | 0.0960486i | \(0.0306204\pi\) | ||||
−0.995377 | + | 0.0960486i | \(0.969380\pi\) | |||||||
\(644\) | 4.12795 | + | 4.73164i | 0.162664 | + | 0.186453i | ||||
\(645\) | 0.659199 | − | 1.11190i | 0.0259559 | − | 0.0437808i | ||||
\(646\) | −37.3404 | + | 39.7565i | −1.46914 | + | 1.56420i | ||||
\(647\) | 44.4194 | 1.74631 | 0.873154 | − | 0.487444i | \(-0.162071\pi\) | ||||
0.873154 | + | 0.487444i | \(0.162071\pi\) | |||||||
\(648\) | 18.0725 | + | 14.9589i | 0.709955 | + | 0.587640i | ||||
\(649\) | − | 32.7617i | − | 1.28601i | ||||||
\(650\) | 9.81323 | − | 37.8656i | 0.384906 | − | 1.48521i | ||||
\(651\) | 1.19773 | 0.0469427 | ||||||||
\(652\) | 0.221489 | + | 3.53034i | 0.00867417 | + | 0.138259i | ||||
\(653\) | − | 5.52577i | − | 0.216240i | −0.994138 | − | 0.108120i | \(-0.965517\pi\) | ||
0.994138 | − | 0.108120i | \(-0.0344831\pi\) | |||||||
\(654\) | −3.29380 | − | 3.09363i | −0.128798 | − | 0.120971i | ||||
\(655\) | −16.0129 | + | 27.0095i | −0.625674 | + | 1.05535i | ||||
\(656\) | 23.7434 | − | 2.99103i | 0.927023 | − | 0.116780i | ||||
\(657\) | 19.0888i | 0.744727i | ||||||||
\(658\) | −3.81218 | − | 3.58051i | −0.148614 | − | 0.139583i | ||||
\(659\) | 25.2982 | 0.985479 | 0.492739 | − | 0.870177i | \(-0.335996\pi\) | ||||
0.492739 | + | 0.870177i | \(0.335996\pi\) | |||||||
\(660\) | −2.19306 | + | 4.29078i | −0.0853649 | + | 0.167018i | ||||
\(661\) | 24.9395i | 0.970036i | 0.874504 | + | 0.485018i | \(0.161187\pi\) | ||||
−0.874504 | + | 0.485018i | \(0.838813\pi\) | |||||||
\(662\) | 0.298720 | + | 0.280566i | 0.0116101 | + | 0.0109045i | ||||
\(663\) | − | 8.38877i | − | 0.325793i | ||||||
\(664\) | 28.2702 | − | 34.1545i | 1.09710 | − | 1.32545i | ||||
\(665\) | 5.33950 | − | 9.00633i | 0.207057 | − | 0.349250i | ||||
\(666\) | −1.02986 | + | 1.09650i | −0.0399064 | + | 0.0424885i | ||||
\(667\) | 3.99515 | + | 5.20434i | 0.154693 | + | 0.201513i | ||||
\(668\) | −1.65388 | − | 26.3614i | −0.0639905 | − | 1.01995i | ||||
\(669\) | 0.970566 | 0.0375242 | ||||||||
\(670\) | −7.20286 | − | 24.9012i | −0.278271 | − | 0.962016i | ||||
\(671\) | 23.8134i | 0.919306i | ||||||||
\(672\) | −0.842296 | − | 0.612528i | −0.0324923 | − | 0.0236288i | ||||
\(673\) | 10.5013i | 0.404796i | 0.979303 | + | 0.202398i | \(0.0648735\pi\) | ||||
−0.979303 | + | 0.202398i | \(0.935127\pi\) | |||||||
\(674\) | −18.4181 | + | 19.6099i | −0.709440 | + | 0.755345i | ||||
\(675\) | −3.99511 | − | 7.30449i | −0.153772 | − | 0.281150i | ||||
\(676\) | 2.20434 | + | 35.1351i | 0.0847821 | + | 1.35135i | ||||
\(677\) | 24.8115 | 0.953583 | 0.476792 | − | 0.879016i | \(-0.341800\pi\) | ||||
0.476792 | + | 0.879016i | \(0.341800\pi\) | |||||||
\(678\) | −1.75150 | + | 1.86483i | −0.0672660 | + | 0.0716185i | ||||
\(679\) | 8.94058i | 0.343108i | ||||||||
\(680\) | 11.5088 | + | 32.1024i | 0.441343 | + | 1.23107i | ||||
\(681\) | 6.08898i | 0.233330i | ||||||||
\(682\) | −25.6942 | − | 24.1327i | −0.983882 | − | 0.924089i | ||||
\(683\) | 24.7975 | 0.948848 | 0.474424 | − | 0.880296i | \(-0.342656\pi\) | ||||
0.474424 | + | 0.880296i | \(0.342656\pi\) | |||||||
\(684\) | −2.61631 | − | 41.7016i | −0.100037 | − | 1.59450i | ||||
\(685\) | −8.07257 | − | 4.78591i | −0.308437 | − | 0.182860i | ||||
\(686\) | 9.15850 | + | 8.60192i | 0.349673 | + | 0.328423i | ||||
\(687\) | 5.85411i | 0.223348i | ||||||||
\(688\) | −1.02765 | − | 8.15766i | −0.0391787 | − | 0.311008i | ||||
\(689\) | − | 27.1632i | − | 1.03484i | ||||||
\(690\) | −3.43489 | − | 2.52827i | −0.130764 | − | 0.0962495i | ||||
\(691\) | − | 22.3112i | − | 0.848756i | −0.905485 | − | 0.424378i | \(-0.860493\pi\) | ||
0.905485 | − | 0.424378i | \(-0.139507\pi\) | |||||||
\(692\) | 5.05311 | − | 0.317026i | 0.192090 | − | 0.0120515i | ||||
\(693\) | 7.32636i | 0.278305i | ||||||||
\(694\) | 15.0885 | − | 16.0648i | 0.572751 | − | 0.609810i | ||||
\(695\) | −20.8530 | + | 35.1735i | −0.790999 | + | 1.33421i | ||||
\(696\) | −0.838290 | − | 0.693865i | −0.0317753 | − | 0.0263009i | ||||
\(697\) | 32.2600 | 1.22193 | ||||||||
\(698\) | −11.9804 | + | 12.7556i | −0.453465 | + | 0.482807i | ||||
\(699\) | − | 1.54919i | − | 0.0585957i | ||||||
\(700\) | −3.49486 | − | 5.53561i | −0.132093 | − | 0.209226i | ||||
\(701\) | − | 16.5040i | − | 0.623347i | −0.950189 | − | 0.311673i | \(-0.899110\pi\) | ||
0.950189 | − | 0.311673i | \(-0.100890\pi\) | |||||||
\(702\) | 9.49537 | + | 8.91831i | 0.358380 | + | 0.336600i | ||||
\(703\) | 2.60471 | 0.0982387 | ||||||||
\(704\) | 5.72766 | + | 30.1114i | 0.215869 | + | 1.13487i | ||||
\(705\) | 3.05572 | + | 1.81162i | 0.115085 | + | 0.0682295i | ||||
\(706\) | −20.5512 | − | 19.3022i | −0.773454 | − | 0.726449i | ||||
\(707\) | − | 0.398827i | − | 0.0149994i | ||||||
\(708\) | −4.80003 | + | 0.301148i | −0.180396 | + | 0.0113178i | ||||
\(709\) | − | 24.7656i | − | 0.930090i | −0.885287 | − | 0.465045i | \(-0.846038\pi\) | ||
0.885287 | − | 0.465045i | \(-0.153962\pi\) | |||||||
\(710\) | 5.25538 | + | 18.1685i | 0.197231 | + | 0.681851i | ||||
\(711\) | −7.76326 | −0.291145 | ||||||||
\(712\) | −29.3863 | + | 35.5030i | −1.10130 | + | 1.33053i | ||||
\(713\) | 24.7485 | − | 18.9984i | 0.926839 | − | 0.711495i | ||||
\(714\) | −1.02334 | − | 0.961153i | −0.0382977 | − | 0.0359702i | ||||
\(715\) | 24.1695 | − | 40.7675i | 0.903887 | − | 1.52462i | ||||
\(716\) | −13.2291 | + | 0.829979i | −0.494396 | + | 0.0310178i | ||||
\(717\) | 6.19805i | 0.231471i | ||||||||
\(718\) | 26.0492 | − | 27.7347i | 0.972146 | − | 1.03505i | ||||
\(719\) | 25.2459i | 0.941515i | 0.882263 | + | 0.470757i | \(0.156019\pi\) | ||||
−0.882263 | + | 0.470757i | \(0.843981\pi\) | |||||||
\(720\) | −23.9618 | − | 10.4100i | −0.893005 | − | 0.387958i | ||||
\(721\) | 7.37729 | 0.274745 | ||||||||
\(722\) | −31.1351 | + | 33.1497i | −1.15873 | + | 1.23370i | ||||
\(723\) | − | 3.22109i | − | 0.119794i | ||||||
\(724\) | −13.9823 | + | 0.877230i | −0.519647 | + | 0.0326020i | ||||
\(725\) | −3.28234 | − | 6.00131i | −0.121903 | − | 0.222883i | ||||
\(726\) | −1.00193 | + | 1.06676i | −0.0371850 | + | 0.0395911i | ||||
\(727\) | − | 1.08854i | − | 0.0403716i | −0.999796 | − | 0.0201858i | \(-0.993574\pi\) | ||
0.999796 | − | 0.0201858i | \(-0.00642578\pi\) | |||||||
\(728\) | 7.89073 | + | 6.53127i | 0.292450 | + | 0.242065i | ||||
\(729\) | −22.8225 | −0.845278 | ||||||||
\(730\) | −5.74247 | − | 19.8524i | −0.212538 | − | 0.734770i | ||||
\(731\) | − | 11.0838i | − | 0.409948i | ||||||
\(732\) | 3.48898 | − | 0.218894i | 0.128956 | − | 0.00809057i | ||||
\(733\) | −12.6647 | −0.467782 | −0.233891 | − | 0.972263i | \(-0.575146\pi\) | ||||
−0.233891 | + | 0.972263i | \(0.575146\pi\) | |||||||
\(734\) | −18.7580 | − | 17.6180i | −0.692370 | − | 0.650292i | ||||
\(735\) | −3.55467 | − | 2.10742i | −0.131116 | − | 0.0777335i | ||||
\(736\) | −27.1202 | + | 0.703928i | −0.999663 | + | 0.0259471i | ||||
\(737\) | − | 31.4071i | − | 1.15689i | ||||||
\(738\) | −16.9191 | + | 18.0139i | −0.622802 | + | 0.663101i | ||||
\(739\) | 2.47297i | 0.0909697i | 0.998965 | + | 0.0454849i | \(0.0144833\pi\) | ||||
−0.998965 | + | 0.0454849i | \(0.985517\pi\) | |||||||
\(740\) | 0.741199 | − | 1.45017i | 0.0272470 | − | 0.0533094i | ||||
\(741\) | − | 11.1274i | − | 0.408774i | ||||||
\(742\) | −3.31363 | − | 3.11226i | −0.121647 | − | 0.114254i | ||||
\(743\) | − | 2.46872i | − | 0.0905687i | −0.998974 | − | 0.0452843i | \(-0.985581\pi\) | ||
0.998974 | − | 0.0452843i | \(-0.0144194\pi\) | |||||||
\(744\) | −3.29958 | + | 3.98637i | −0.120968 | + | 0.146148i | ||||
\(745\) | −14.7371 | + | 24.8576i | −0.539925 | + | 0.910712i | ||||
\(746\) | −12.1807 | + | 12.9689i | −0.445968 | + | 0.474824i | ||||
\(747\) | 45.7863i | 1.67523i | ||||||||
\(748\) | 2.58723 | + | 41.2382i | 0.0945985 | + | 1.50782i | ||||
\(749\) | 4.55609 | 0.166476 | ||||||||
\(750\) | 3.13373 | + | 3.15470i | 0.114428 | + | 0.115193i | ||||
\(751\) | −6.97895 | −0.254666 | −0.127333 | − | 0.991860i | \(-0.540642\pi\) | ||||
−0.127333 | + | 0.991860i | \(0.540642\pi\) | |||||||
\(752\) | 22.4190 | − | 2.82419i | 0.817536 | − | 0.102988i | ||||
\(753\) | 3.65235 | 0.133099 | ||||||||
\(754\) | 7.80132 | + | 7.32721i | 0.284107 | + | 0.266841i | ||||
\(755\) | 2.93055 | − | 4.94306i | 0.106654 | − | 0.179896i | ||||
\(756\) | 2.17589 | − | 0.136512i | 0.0791362 | − | 0.00496491i | ||||
\(757\) | 12.8118 | 0.465653 | 0.232827 | − | 0.972518i | \(-0.425203\pi\) | ||||
0.232827 | + | 0.972518i | \(0.425203\pi\) | |||||||
\(758\) | 10.6154 | − | 11.3022i | 0.385568 | − | 0.410516i | ||||
\(759\) | −3.14665 | − | 4.09902i | −0.114216 | − | 0.148785i | ||||
\(760\) | 15.2660 | + | 42.5826i | 0.553755 | + | 1.54463i | ||||
\(761\) | 15.7760 | 0.571879 | 0.285940 | − | 0.958248i | \(-0.407694\pi\) | ||||
0.285940 | + | 0.958248i | \(0.407694\pi\) | |||||||
\(762\) | −4.47464 | + | 4.76417i | −0.162099 | + | 0.172588i | ||||
\(763\) | 7.43808 | 0.269276 | ||||||||
\(764\) | 2.79570 | + | 44.5609i | 0.101145 | + | 1.61216i | ||||
\(765\) | −30.2943 | − | 17.9603i | −1.09529 | − | 0.649356i | ||||
\(766\) | −4.90889 | − | 4.61057i | −0.177365 | − | 0.166587i | ||||
\(767\) | 47.3024 | 1.70799 | ||||||||
\(768\) | 4.35908 | − | 1.11597i | 0.157295 | − | 0.0402689i | ||||
\(769\) | 43.1981i | 1.55777i | 0.627170 | + | 0.778883i | \(0.284213\pi\) | ||||
−0.627170 | + | 0.778883i | \(0.715787\pi\) | |||||||
\(770\) | −2.20398 | − | 7.61941i | −0.0794259 | − | 0.274585i | ||||
\(771\) | 4.83337i | 0.174070i | ||||||||
\(772\) | −1.35470 | + | 0.0849924i | −0.0487568 | + | 0.00305894i | ||||
\(773\) | 21.0272 | 0.756297 | 0.378148 | − | 0.925745i | \(-0.376561\pi\) | ||||
0.378148 | + | 0.925745i | \(0.376561\pi\) | |||||||
\(774\) | 6.18915 | + | 5.81302i | 0.222464 | + | 0.208945i | ||||
\(775\) | −28.5384 | + | 15.6087i | −1.02513 | + | 0.560682i | ||||
\(776\) | −29.7568 | − | 24.6301i | −1.06821 | − | 0.884169i | ||||
\(777\) | 0.0670460i | 0.00240526i | ||||||||
\(778\) | −23.3821 | − | 21.9611i | −0.838290 | − | 0.787345i | ||||
\(779\) | 42.7916 | 1.53317 | ||||||||
\(780\) | −6.19516 | − | 3.16641i | −0.221822 | − | 0.113376i | ||||
\(781\) | 22.9153i | 0.819975i | ||||||||
\(782\) | −36.3910 | − | 3.62788i | −1.30134 | − | 0.129733i | ||||
\(783\) | 2.27799 | 0.0814088 | ||||||||
\(784\) | −26.0796 | + | 3.28534i | −0.931414 | + | 0.117333i | ||||
\(785\) | 4.97363 | + | 2.94867i | 0.177516 | + | 0.105242i | ||||
\(786\) | 4.07084 | + | 3.82345i | 0.145202 | + | 0.136378i | ||||
\(787\) | 35.5684i | 1.26788i | 0.773384 | + | 0.633938i | \(0.218562\pi\) | ||||
−0.773384 | + | 0.633938i | \(0.781438\pi\) | |||||||
\(788\) | −19.7995 | + | 1.24220i | −0.705329 | + | 0.0442515i | ||||
\(789\) | − | 3.05283i | − | 0.108683i | ||||||
\(790\) | 8.07378 | − | 2.33541i | 0.287252 | − | 0.0830901i | ||||
\(791\) | − | 4.21117i | − | 0.149732i | ||||||
\(792\) | −24.3842 | − | 20.1831i | −0.866454 | − | 0.717177i | ||||
\(793\) | −34.3825 | −1.22096 | ||||||||
\(794\) | −22.0307 | − | 20.6919i | −0.781842 | − | 0.734327i | ||||
\(795\) | 2.65610 | + | 1.57470i | 0.0942022 | + | 0.0558488i | ||||
\(796\) | 2.43269 | + | 38.7749i | 0.0862244 | + | 1.37434i | ||||
\(797\) | −15.6053 | −0.552767 | −0.276383 | − | 0.961047i | \(-0.589136\pi\) | ||||
−0.276383 | + | 0.961047i | \(0.589136\pi\) | |||||||
\(798\) | −1.35743 | − | 1.27493i | −0.0480523 | − | 0.0451321i | ||||
\(799\) | 30.4606 | 1.07762 | ||||||||
\(800\) | 28.0519 | + | 3.61800i | 0.991785 | + | 0.127916i | ||||
\(801\) | − | 47.5940i | − | 1.68165i | ||||||
\(802\) | −33.0609 | − | 31.0517i | −1.16742 | − | 1.09647i | ||||
\(803\) | − | 25.0392i | − | 0.883615i | ||||||
\(804\) | −4.60156 | + | 0.288696i | −0.162284 | + | 0.0101815i | ||||
\(805\) | 6.97025 | − | 0.837309i | 0.245669 | − | 0.0295113i | ||||
\(806\) | 34.8435 | − | 37.0981i | 1.22731 | − | 1.30672i | ||||
\(807\) | −7.68585 | −0.270555 | ||||||||
\(808\) | 1.32741 | + | 1.09871i | 0.0466980 | + | 0.0386526i | ||||
\(809\) | 24.0021 | 0.843871 | 0.421935 | − | 0.906626i | \(-0.361351\pi\) | ||||
0.421935 | + | 0.906626i | \(0.361351\pi\) | |||||||
\(810\) | 25.1964 | − | 7.28827i | 0.885312 | − | 0.256084i | ||||
\(811\) | − | 4.16792i | − | 0.146356i | −0.997319 | − | 0.0731778i | \(-0.976686\pi\) | ||
0.997319 | − | 0.0731778i | \(-0.0233140\pi\) | |||||||
\(812\) | 1.78769 | − | 0.112157i | 0.0627356 | − | 0.00393595i | ||||
\(813\) | 7.05743i | 0.247515i | ||||||||
\(814\) | 1.35089 | − | 1.43830i | 0.0473488 | − | 0.0504125i | ||||
\(815\) | 3.40188 | + | 2.01684i | 0.119163 | + | 0.0706468i | ||||
\(816\) | 6.01816 | − | 0.758128i | 0.210678 | − | 0.0265398i | ||||
\(817\) | − | 14.7022i | − | 0.514365i | ||||||
\(818\) | −18.3528 | + | 19.5403i | −0.641691 | + | 0.683212i | ||||
\(819\) | −10.5780 | −0.369626 | ||||||||
\(820\) | 12.1768 | − | 23.8242i | 0.425233 | − | 0.831977i | ||||
\(821\) | −40.5578 | −1.41548 | −0.707738 | − | 0.706475i | \(-0.750284\pi\) | ||||
−0.707738 | + | 0.706475i | \(0.750284\pi\) | |||||||
\(822\) | −1.14275 | + | 1.21669i | −0.0398580 | + | 0.0424370i | ||||
\(823\) | 0.0128583 | 0.000448212 | 0.000224106 | − | 1.00000i | \(-0.499929\pi\) | ||||
0.000224106 | 1.00000i | \(0.499929\pi\) | ||||||||
\(824\) | −20.3234 | + | 24.5537i | −0.708001 | + | 0.855368i | ||||
\(825\) | 2.58523 | + | 4.72673i | 0.0900061 | + | 0.164564i | ||||
\(826\) | 5.41972 | − | 5.77040i | 0.188576 | − | 0.200778i | ||||
\(827\) | − | 13.9930i | − | 0.486585i | −0.969953 | − | 0.243293i | \(-0.921772\pi\) | ||
0.969953 | − | 0.243293i | \(-0.0782275\pi\) | |||||||
\(828\) | 21.1115 | − | 18.4180i | 0.733676 | − | 0.640069i | ||||
\(829\) | −38.6058 | −1.34083 | −0.670417 | − | 0.741985i | \(-0.733885\pi\) | ||||
−0.670417 | + | 0.741985i | \(0.733885\pi\) | |||||||
\(830\) | −13.7738 | − | 47.6177i | −0.478096 | − | 1.65283i | ||||
\(831\) | 1.71044i | 0.0593344i | ||||||||
\(832\) | −43.4758 | + | 8.26977i | −1.50725 | + | 0.286703i | ||||
\(833\) | −35.4342 | −1.22772 | ||||||||
\(834\) | 5.30132 | + | 4.97914i | 0.183570 | + | 0.172414i | ||||
\(835\) | −25.4021 | − | 15.0599i | −0.879078 | − | 0.521170i | ||||
\(836\) | 3.43186 | + | 54.7008i | 0.118693 | + | 1.89187i | ||||
\(837\) | − | 10.8327i | − | 0.374432i | ||||||
\(838\) | 1.20314 | − | 1.28099i | 0.0415618 | − | 0.0442511i | ||||
\(839\) | −10.3705 | −0.358028 | −0.179014 | − | 0.983847i | \(-0.557291\pi\) | ||||
−0.179014 | + | 0.983847i | \(0.557291\pi\) | |||||||
\(840\) | −1.09609 | + | 0.392950i | −0.0378186 | + | 0.0135581i | ||||
\(841\) | −27.1284 | −0.935463 | ||||||||
\(842\) | 6.28532 | + | 5.90334i | 0.216606 | + | 0.203443i | ||||
\(843\) | − | 5.50088i | − | 0.189460i | ||||||
\(844\) | −8.09347 | + | 0.507774i | −0.278589 | + | 0.0174783i | ||||
\(845\) | 33.8567 | + | 20.0723i | 1.16471 | + | 0.690508i | ||||
\(846\) | −15.9754 | + | 17.0091i | −0.549246 | + | 0.584785i | ||||
\(847\) | − | 2.40896i | − | 0.0827727i | ||||||
\(848\) | 19.4871 | − | 2.45485i | 0.669189 | − | 0.0843000i | ||||
\(849\) | − | 5.30502i | − | 0.182068i | ||||||
\(850\) | 36.9090 | + | 9.56531i | 1.26597 | + | 0.328088i | ||||
\(851\) | 1.06349 | + | 1.38536i | 0.0364558 | + | 0.0474897i | ||||
\(852\) | 3.35740 | − | 0.210639i | 0.115023 | − | 0.00721639i | ||||
\(853\) | − | 3.93487i | − | 0.134727i | −0.997728 | − | 0.0673637i | \(-0.978541\pi\) | ||
0.997728 | − | 0.0673637i | \(-0.0214588\pi\) | |||||||
\(854\) | −3.93941 | + | 4.19431i | −0.134804 | + | 0.143526i | ||||
\(855\) | −40.1842 | − | 23.8236i | −1.37427 | − | 0.814751i | ||||
\(856\) | −12.5514 | + | 15.1639i | −0.428999 | + | 0.518293i | ||||
\(857\) | − | 45.7555i | − | 1.56298i | −0.623919 | − | 0.781489i | \(-0.714461\pi\) | ||
0.623919 | − | 0.781489i | \(-0.285539\pi\) | |||||||
\(858\) | −6.14445 | − | 5.77103i | −0.209768 | − | 0.197020i | ||||
\(859\) | − | 29.0704i | − | 0.991870i | −0.868360 | − | 0.495935i | \(-0.834825\pi\) | ||
0.868360 | − | 0.495935i | \(-0.165175\pi\) | |||||||
\(860\) | −8.18543 | − | 4.18366i | −0.279121 | − | 0.142662i | ||||
\(861\) | 1.10147i | 0.0375379i | ||||||||
\(862\) | 11.9419 | − | 12.7146i | 0.406744 | − | 0.433062i | ||||
\(863\) | 5.33774 | 0.181699 | 0.0908494 | − | 0.995865i | \(-0.471042\pi\) | ||||
0.0908494 | + | 0.995865i | \(0.471042\pi\) | |||||||
\(864\) | −5.53992 | + | 7.61803i | −0.188472 | + | 0.259171i | ||||
\(865\) | 2.88678 | − | 4.86924i | 0.0981536 | − | 0.165559i | ||||
\(866\) | 27.6405 | − | 29.4290i | 0.939263 | − | 1.00004i | ||||
\(867\) | 3.39595 | 0.115333 | ||||||||
\(868\) | −0.533349 | − | 8.50111i | −0.0181030 | − | 0.288546i | ||||
\(869\) | 10.1832 | 0.345442 | ||||||||
\(870\) | −1.16873 | + | 0.338066i | −0.0396238 | + | 0.0114615i | ||||
\(871\) | 45.3465 | 1.53651 | ||||||||
\(872\) | −20.4909 | + | 24.7560i | −0.693910 | + | 0.838344i | ||||
\(873\) | 39.8908 | 1.35010 | ||||||||
\(874\) | −48.2713 | − | 4.81224i | −1.63280 | − | 0.162776i | ||||
\(875\) | −7.31484 | − | 0.253663i | −0.247287 | − | 0.00857537i | ||||
\(876\) | −3.66858 | + | 0.230162i | −0.123950 | + | 0.00777646i | ||||
\(877\) | − | 27.5698i | − | 0.930968i | −0.885056 | − | 0.465484i | \(-0.845880\pi\) | ||
0.885056 | − | 0.465484i | \(-0.154120\pi\) | |||||||
\(878\) | 9.19276 | + | 8.63410i | 0.310241 | + | 0.291387i | ||||
\(879\) | 5.81603 | 0.196170 | ||||||||
\(880\) | 31.4312 | + | 13.6550i | 1.05955 | + | 0.460310i | ||||
\(881\) | − | 46.8772i | − | 1.57933i | −0.613536 | − | 0.789667i | \(-0.710253\pi\) | ||
0.613536 | − | 0.789667i | \(-0.289747\pi\) | |||||||
\(882\) | 18.5839 | − | 19.7864i | 0.625753 | − | 0.666242i | ||||
\(883\) | 55.5718 | 1.87014 | 0.935071 | − | 0.354461i | \(-0.115336\pi\) | ||||
0.935071 | + | 0.354461i | \(0.115336\pi\) | |||||||
\(884\) | −59.5409 | + | 3.73552i | −2.00258 | + | 0.125639i | ||||
\(885\) | −2.74220 | + | 4.62537i | −0.0921780 | + | 0.155480i | ||||
\(886\) | 36.4720 | − | 38.8319i | 1.22530 | − | 1.30458i | ||||
\(887\) | 0.0901431 | 0.00302671 | 0.00151335 | − | 0.999999i | \(-0.499518\pi\) | ||||
0.00151335 | + | 0.999999i | \(0.499518\pi\) | |||||||
\(888\) | −0.223148 | − | 0.184703i | −0.00748836 | − | 0.00619822i | ||||
\(889\) | − | 10.7585i | − | 0.360828i | ||||||
\(890\) | 14.3176 | + | 49.4977i | 0.479928 | + | 1.65917i | ||||
\(891\) | 31.7795 | 1.06465 | ||||||||
\(892\) | −0.432193 | − | 6.88878i | −0.0144709 | − | 0.230653i | ||||
\(893\) | 40.4047 | 1.35209 | ||||||||
\(894\) | 3.74652 | + | 3.51883i | 0.125302 | + | 0.117687i | ||||
\(895\) | −7.55765 | + | 12.7478i | −0.252624 | + | 0.426111i | ||||
\(896\) | −3.97246 | + | 6.25112i | −0.132711 | + | 0.208835i | ||||
\(897\) | 5.91829 | − | 4.54322i | 0.197606 | − | 0.151694i | ||||
\(898\) | 16.2776 | − | 17.3309i | 0.543191 | − | 0.578339i | ||||
\(899\) | − | 8.90004i | − | 0.296833i | ||||||
\(900\) | −24.6986 | + | 15.5933i | −0.823288 | + | 0.519775i | ||||
\(901\) | 26.4770 | 0.882076 | ||||||||
\(902\) | 22.1932 | − | 23.6292i | 0.738952 | − | 0.786766i | ||||
\(903\) | 0.378438 | 0.0125936 | ||||||||
\(904\) | 14.0160 | + | 11.6012i | 0.466164 | + | 0.385851i | ||||
\(905\) | −7.98790 | + | 13.4735i | −0.265527 | + | 0.447874i | ||||
\(906\) | −0.745014 | − | 0.699737i | −0.0247514 | − | 0.0232472i | ||||
\(907\) | − | 3.39752i | − | 0.112813i | −0.998408 | − | 0.0564064i | \(-0.982036\pi\) | ||
0.998408 | − | 0.0564064i | \(-0.0179642\pi\) | |||||||
\(908\) | 43.2177 | − | 2.71143i | 1.43423 | − | 0.0899818i | ||||
\(909\) | −1.77947 | −0.0590214 | ||||||||
\(910\) | 11.0011 | − | 3.18217i | 0.364684 | − | 0.105488i | ||||
\(911\) | −51.6267 | −1.71047 | −0.855234 | − | 0.518242i | \(-0.826587\pi\) | ||||
−0.855234 | + | 0.518242i | \(0.826587\pi\) | |||||||
\(912\) | 7.98285 | − | 1.00563i | 0.264339 | − | 0.0332996i | ||||
\(913\) | − | 60.0588i | − | 1.98766i | ||||||
\(914\) | −22.4855 | + | 23.9405i | −0.743755 | + | 0.791880i | ||||
\(915\) | 1.99321 | − | 3.36203i | 0.0658936 | − | 0.111145i | ||||
\(916\) | 41.5507 | − | 2.60684i | 1.37287 | − | 0.0861323i | ||||
\(917\) | −9.19279 | −0.303573 | ||||||||
\(918\) | −8.69301 | + | 9.25549i | −0.286912 | + | 0.305477i | ||||
\(919\) | 43.0368 | 1.41965 | 0.709827 | − | 0.704376i | \(-0.248773\pi\) | ||||
0.709827 | + | 0.704376i | \(0.248773\pi\) | |||||||
\(920\) | −16.4153 | + | 25.5056i | −0.541197 | + | 0.840896i | ||||
\(921\) | −2.02339 | −0.0666729 | ||||||||
\(922\) | 2.88077 | − | 3.06716i | 0.0948730 | − | 0.101012i | ||||
\(923\) | −33.0859 | −1.08903 | ||||||||
\(924\) | −1.40801 | + | 0.0883370i | −0.0463202 | + | 0.00290607i | ||||
\(925\) | −0.873741 | − | 1.59751i | −0.0287284 | − | 0.0525259i | ||||
\(926\) | 13.3135 | − | 14.1750i | 0.437510 | − | 0.465819i | ||||
\(927\) | − | 32.9158i | − | 1.08110i | ||||||
\(928\) | −4.55155 | + | 6.25891i | −0.149412 | + | 0.205459i | ||||
\(929\) | 49.5176 | 1.62462 | 0.812310 | − | 0.583226i | \(-0.198210\pi\) | ||||
0.812310 | + | 0.583226i | \(0.198210\pi\) | |||||||
\(930\) | 1.60762 | + | 5.55775i | 0.0527161 | + | 0.182246i | ||||
\(931\) | −47.0021 | −1.54043 | ||||||||
\(932\) | −10.9957 | + | 0.689854i | −0.360175 | + | 0.0225969i | ||||
\(933\) | − | 7.21450i | − | 0.236192i | ||||||
\(934\) | 5.70979 | + | 5.36279i | 0.186830 | + | 0.175476i | ||||
\(935\) | 39.7376 | + | 23.5589i | 1.29956 | + | 0.770457i | ||||
\(936\) | 29.1411 | − | 35.2066i | 0.952505 | − | 1.15077i | ||||
\(937\) | −13.4516 | −0.439444 | −0.219722 | − | 0.975562i | \(-0.570515\pi\) | ||||
−0.219722 | + | 0.975562i | \(0.570515\pi\) | |||||||
\(938\) | 5.19562 | − | 5.53181i | 0.169643 | − | 0.180620i | ||||
\(939\) | −8.63692 | −0.281855 | ||||||||
\(940\) | 11.4976 | − | 22.4953i | 0.375010 | − | 0.733716i | ||||
\(941\) | 52.1559i | 1.70023i | 0.526593 | + | 0.850117i | \(0.323469\pi\) | ||||
−0.526593 | + | 0.850117i | \(0.676531\pi\) | |||||||
\(942\) | 0.704064 | − | 0.749621i | 0.0229397 | − | 0.0244240i | ||||
\(943\) | 17.4715 | + | 22.7595i | 0.568950 | + | 0.741151i | ||||
\(944\) | 4.27491 | + | 33.9350i | 0.139136 | + | 1.10449i | ||||
\(945\) | 1.24306 | − | 2.09671i | 0.0404367 | − | 0.0682060i | ||||
\(946\) | −8.11843 | − | 7.62505i | −0.263953 | − | 0.247912i | ||||
\(947\) | 23.3276 | 0.758044 | 0.379022 | − | 0.925388i | \(-0.376260\pi\) | ||||
0.379022 | + | 0.925388i | \(0.376260\pi\) | |||||||
\(948\) | −0.0936048 | − | 1.49198i | −0.00304014 | − | 0.0484572i | ||||
\(949\) | 36.1524 | 1.17356 | ||||||||
\(950\) | 48.9584 | + | 12.6880i | 1.58842 | + | 0.411653i | ||||
\(951\) | − | 1.60256i | − | 0.0519665i | ||||||
\(952\) | −6.36627 | + | 7.69138i | −0.206332 | + | 0.249279i | ||||
\(953\) | 15.3966 | 0.498745 | 0.249372 | − | 0.968408i | \(-0.419776\pi\) | ||||
0.249372 | + | 0.968408i | \(0.419776\pi\) | |||||||
\(954\) | −13.8862 | + | 14.7847i | −0.449581 | + | 0.478672i | ||||
\(955\) | 42.9395 | + | 25.4571i | 1.38949 | + | 0.823773i | ||||
\(956\) | 43.9919 | − | 2.76000i | 1.42280 | − | 0.0892646i | ||||
\(957\) | −1.47409 | −0.0476505 | ||||||||
\(958\) | 9.04065 | − | 9.62562i | 0.292090 | − | 0.310990i | ||||
\(959\) | − | 2.74753i | − | 0.0887225i | ||||||
\(960\) | 1.71172 | − | 4.73061i | 0.0552457 | − | 0.152680i | ||||
\(961\) | −11.3229 | −0.365255 | ||||||||
\(962\) | 2.07667 | + | 1.95046i | 0.0669544 | + | 0.0628854i | ||||
\(963\) | − | 20.3282i | − | 0.655068i | ||||||
\(964\) | −22.8623 | + | 1.43435i | −0.736346 | + | 0.0461974i | ||||
\(965\) | −0.773926 | + | 1.30541i | −0.0249135 | + | 0.0420226i | ||||
\(966\) | 0.123868 | − | 1.24252i | 0.00398540 | − | 0.0399773i | ||||
\(967\) | −44.1352 | −1.41929 | −0.709646 | − | 0.704559i | \(-0.751145\pi\) | ||||
−0.709646 | + | 0.704559i | \(0.751145\pi\) | |||||||
\(968\) | 8.01768 | + | 6.63635i | 0.257698 | + | 0.213300i | ||||
\(969\) | 10.8463 | 0.348432 | ||||||||
\(970\) | −41.4865 | + | 12.0003i | −1.33205 | + | 0.385306i | ||||
\(971\) | −13.0702 | −0.419443 | −0.209722 | − | 0.977761i | \(-0.567256\pi\) | ||||
−0.209722 | + | 0.977761i | \(0.567256\pi\) | |||||||
\(972\) | −0.917698 | − | 14.6273i | −0.0294352 | − | 0.469171i | ||||
\(973\) | −11.9714 | −0.383787 | ||||||||
\(974\) | −16.0844 | + | 17.1251i | −0.515376 | + | 0.548723i | ||||
\(975\) | −6.82460 | + | 3.73263i | −0.218562 | + | 0.119540i | ||||
\(976\) | −3.10729 | − | 24.6662i | −0.0994619 | − | 0.789547i | ||||
\(977\) | 9.02174 | 0.288631 | 0.144316 | − | 0.989532i | \(-0.453902\pi\) | ||||
0.144316 | + | 0.989532i | \(0.453902\pi\) | |||||||
\(978\) | 0.481568 | − | 0.512728i | 0.0153988 | − | 0.0163952i | ||||
\(979\) | 62.4300i | 1.99527i | ||||||||
\(980\) | −13.3749 | + | 26.1684i | −0.427247 | + | 0.835919i | ||||
\(981\) | − | 33.1870i | − | 1.05958i | ||||||
\(982\) | −12.4182 | − | 11.6635i | −0.396281 | − | 0.372198i | ||||
\(983\) | − | 14.2428i | − | 0.454275i | −0.973863 | − | 0.227138i | \(-0.927063\pi\) | ||
0.973863 | − | 0.227138i | \(-0.0729368\pi\) | |||||||
\(984\) | −3.66599 | − | 3.03440i | −0.116868 | − | 0.0967330i | ||||
\(985\) | −11.3112 | + | 19.0791i | −0.360406 | + | 0.607910i | ||||
\(986\) | −7.14210 | + | 7.60423i | −0.227451 | + | 0.242168i | ||||
\(987\) | 1.04003i | 0.0331045i | ||||||||
\(988\) | −78.9787 | + | 4.95503i | −2.51265 | + | 0.157640i | ||||
\(989\) | 7.81962 | − | 6.00279i | 0.248650 | − | 0.190878i | ||||
\(990\) | −33.9961 | + | 9.83365i | −1.08047 | + | 0.312534i | ||||
\(991\) | 11.9474i | 0.379521i | 0.981830 | + | 0.189760i | \(0.0607711\pi\) | ||||
−0.981830 | + | 0.189760i | \(0.939229\pi\) | |||||||
\(992\) | 29.7634 | + | 21.6443i | 0.944988 | + | 0.687206i | ||||
\(993\) | − | 0.0814961i | − | 0.00258620i | ||||||
\(994\) | −3.79085 | + | 4.03614i | −0.120238 | + | 0.128018i | ||||
\(995\) | 37.3640 | + | 22.1516i | 1.18452 | + | 0.702254i | ||||
\(996\) | −8.79941 | + | 0.552064i | −0.278820 | + | 0.0174928i | ||||
\(997\) | 4.57956i | 0.145036i | 0.997367 | + | 0.0725180i | \(0.0231035\pi\) | ||||
−0.997367 | + | 0.0725180i | \(0.976897\pi\) | |||||||
\(998\) | −28.4323 | − | 26.7044i | −0.900009 | − | 0.845313i | ||||
\(999\) | 0.606388 | 0.0191853 |
(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 | 460.2.g.c.459.15 | yes | 56 | |
4.3 | odd | 2 | inner | 460.2.g.c.459.43 | yes | 56 | |
5.4 | even | 2 | inner | 460.2.g.c.459.42 | yes | 56 | |
20.19 | odd | 2 | inner | 460.2.g.c.459.14 | yes | 56 | |
23.22 | odd | 2 | inner | 460.2.g.c.459.16 | yes | 56 | |
92.91 | even | 2 | inner | 460.2.g.c.459.44 | yes | 56 | |
115.114 | odd | 2 | inner | 460.2.g.c.459.41 | yes | 56 | |
460.459 | even | 2 | inner | 460.2.g.c.459.13 | ✓ | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
460.2.g.c.459.13 | ✓ | 56 | 460.459 | even | 2 | inner | |
460.2.g.c.459.14 | yes | 56 | 20.19 | odd | 2 | inner | |
460.2.g.c.459.15 | yes | 56 | 1.1 | even | 1 | trivial | |
460.2.g.c.459.16 | yes | 56 | 23.22 | odd | 2 | inner | |
460.2.g.c.459.41 | yes | 56 | 115.114 | odd | 2 | inner | |
460.2.g.c.459.42 | yes | 56 | 5.4 | even | 2 | inner | |
460.2.g.c.459.43 | yes | 56 | 4.3 | odd | 2 | inner | |
460.2.g.c.459.44 | yes | 56 | 92.91 | even | 2 | inner |