Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [693,2,Mod(64,693)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(693, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("693.64");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 693 = 3^{2} \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 693.m (of order \(5\), 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: | \(5.53363286007\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 190.2 | ||
Character | \(\chi\) | \(=\) | 693.190 |
Dual form | 693.2.m.k.631.2 |
$q$-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 \(\left(\mathbb{Z}/693\mathbb{Z}\right)^\times\).
\(n\) | \(155\) | \(199\) | \(442\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.70216 | + | 1.23669i | −1.20361 | + | 0.874474i | −0.994635 | − | 0.103447i | \(-0.967013\pi\) |
−0.208975 | + | 0.977921i | \(0.567013\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.749912 | − | 2.30799i | 0.374956 | − | 1.15400i | ||||
\(5\) | −3.03419 | − | 2.20447i | −1.35693 | − | 0.985867i | −0.998634 | − | 0.0522596i | \(-0.983358\pi\) |
−0.358297 | − | 0.933608i | \(-0.616642\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.309017 | − | 0.951057i | 0.116797 | − | 0.359466i | ||||
\(8\) | 0.277470 | + | 0.853964i | 0.0981003 | + | 0.301922i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 7.89093 | 2.49533 | ||||||||
\(11\) | −1.33588 | − | 3.03569i | −0.402784 | − | 0.915295i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.80385 | + | 2.03712i | −0.777649 | + | 0.564995i | −0.904272 | − | 0.426956i | \(-0.859586\pi\) |
0.126624 | + | 0.991951i | \(0.459586\pi\) | |||||||
\(14\) | 0.650168 | + | 2.00101i | 0.173765 | + | 0.534793i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.39820 | + | 1.74239i | 0.599550 | + | 0.435599i | ||||
\(17\) | 1.23523 | + | 0.897450i | 0.299588 | + | 0.217664i | 0.727416 | − | 0.686197i | \(-0.240721\pi\) |
−0.427828 | + | 0.903860i | \(0.640721\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.59455 | − | 4.90753i | −0.365816 | − | 1.12587i | −0.949469 | − | 0.313862i | \(-0.898377\pi\) |
0.583653 | − | 0.812003i | \(-0.301623\pi\) | |||||||
\(20\) | −7.36326 | + | 5.34972i | −1.64648 | + | 1.19623i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 6.02811 | + | 3.51516i | 1.28520 | + | 0.749435i | ||||
\(23\) | 4.87487 | 1.01648 | 0.508240 | − | 0.861215i | \(-0.330296\pi\) | ||||
0.508240 | + | 0.861215i | \(0.330296\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.80154 | + | 8.62225i | 0.560308 | + | 1.72445i | ||||
\(26\) | 2.25332 | − | 6.93501i | 0.441913 | − | 1.36007i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.96329 | − | 1.42642i | −0.371028 | − | 0.269568i | ||||
\(29\) | −3.31493 | + | 10.2023i | −0.615568 | + | 1.89452i | −0.222907 | + | 0.974840i | \(0.571555\pi\) |
−0.392661 | + | 0.919683i | \(0.628445\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.57516 | + | 4.77714i | −1.18093 | + | 0.857999i | −0.992277 | − | 0.124044i | \(-0.960414\pi\) |
−0.188658 | + | 0.982043i | \(0.560414\pi\) | |||||||
\(32\) | −8.03275 | −1.42000 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −3.21244 | −0.550929 | ||||||||
\(35\) | −3.03419 | + | 2.20447i | −0.512871 | + | 0.372623i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.86103 | − | 8.80533i | 0.470350 | − | 1.44759i | −0.381778 | − | 0.924254i | \(-0.624688\pi\) |
0.852128 | − | 0.523334i | \(-0.175312\pi\) | |||||||
\(38\) | 8.78330 | + | 6.38144i | 1.42484 | + | 1.03521i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.04064 | − | 3.20276i | 0.164540 | − | 0.506401i | ||||
\(41\) | 3.36746 | + | 10.3640i | 0.525908 | + | 1.61858i | 0.762513 | + | 0.646973i | \(0.223965\pi\) |
−0.236605 | + | 0.971606i | \(0.576035\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.137677 | −0.0209955 | −0.0104978 | − | 0.999945i | \(-0.503342\pi\) | ||||
−0.0104978 | + | 0.999945i | \(0.503342\pi\) | |||||||
\(44\) | −8.00814 | + | 0.806704i | −1.20727 | + | 0.121615i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −8.29782 | + | 6.02872i | −1.22345 | + | 0.888886i | ||||
\(47\) | 0.843708 | + | 2.59667i | 0.123068 | + | 0.378763i | 0.993544 | − | 0.113447i | \(-0.0361892\pi\) |
−0.870477 | + | 0.492210i | \(0.836189\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.809017 | − | 0.587785i | −0.115574 | − | 0.0839693i | ||||
\(50\) | −15.4318 | − | 11.2118i | −2.18238 | − | 1.58559i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.59901 | + | 7.99893i | 0.360418 | + | 1.10925i | ||||
\(53\) | −2.26034 | + | 1.64224i | −0.310482 | + | 0.225579i | −0.732103 | − | 0.681194i | \(-0.761461\pi\) |
0.421621 | + | 0.906772i | \(0.361461\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.63876 | + | 12.1558i | −0.355811 | + | 1.63908i | ||||
\(56\) | 0.897910 | 0.119988 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.97458 | − | 21.4656i | −0.915808 | − | 2.81857i | ||||
\(59\) | 1.49714 | − | 4.60772i | 0.194911 | − | 0.599875i | −0.805067 | − | 0.593185i | \(-0.797870\pi\) |
0.999978 | − | 0.00669015i | \(-0.00212956\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.240947 | + | 0.175058i | 0.0308501 | + | 0.0224139i | 0.603103 | − | 0.797663i | \(-0.293931\pi\) |
−0.572253 | + | 0.820077i | \(0.693931\pi\) | |||||||
\(62\) | 5.28414 | − | 16.2629i | 0.671087 | − | 2.06539i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.87665 | − | 6.44926i | 1.10958 | − | 0.806158i | ||||
\(65\) | 12.9982 | 1.61223 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.816899 | 0.0998001 | 0.0499001 | − | 0.998754i | \(-0.484110\pi\) | ||||
0.0499001 | + | 0.998754i | \(0.484110\pi\) | |||||||
\(68\) | 2.99762 | − | 2.17790i | 0.363515 | − | 0.264109i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.43843 | − | 7.50472i | 0.291448 | − | 0.896986i | ||||
\(71\) | 4.63563 | + | 3.36798i | 0.550148 | + | 0.399706i | 0.827840 | − | 0.560964i | \(-0.189570\pi\) |
−0.277692 | + | 0.960670i | \(0.589570\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.764866 | + | 2.35402i | −0.0895208 | + | 0.275517i | −0.985787 | − | 0.168000i | \(-0.946269\pi\) |
0.896266 | + | 0.443516i | \(0.146269\pi\) | |||||||
\(74\) | 6.01957 | + | 18.5263i | 0.699760 | + | 2.15364i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −12.5223 | −1.43641 | ||||||||
\(77\) | −3.29992 | + | 0.332419i | −0.376061 | + | 0.0378827i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.24242 | + | 6.71501i | −1.03985 | + | 0.755497i | −0.970257 | − | 0.242078i | \(-0.922171\pi\) |
−0.0695961 | + | 0.997575i | \(0.522171\pi\) | |||||||
\(80\) | −3.43554 | − | 10.5735i | −0.384105 | − | 1.18215i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −18.5490 | − | 13.4766i | −2.04839 | − | 1.48825i | ||||
\(83\) | −8.61276 | − | 6.25754i | −0.945373 | − | 0.686854i | 0.00433474 | − | 0.999991i | \(-0.498620\pi\) |
−0.949708 | + | 0.313137i | \(0.898620\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.76953 | − | 5.44606i | −0.191933 | − | 0.590708i | ||||
\(86\) | 0.234348 | − | 0.170264i | 0.0252704 | − | 0.0183600i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.22170 | − | 1.98311i | 0.236834 | − | 0.211400i | ||||
\(89\) | −8.91589 | −0.945082 | −0.472541 | − | 0.881309i | \(-0.656663\pi\) | ||||
−0.472541 | + | 0.881309i | \(0.656663\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.07098 | + | 3.29613i | 0.112269 | + | 0.345528i | ||||
\(92\) | 3.65572 | − | 11.2512i | 0.381135 | − | 1.17301i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −4.64741 | − | 3.37654i | −0.479344 | − | 0.348264i | ||||
\(95\) | −5.98031 | + | 18.4055i | −0.613567 | + | 1.88837i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.54067 | + | 4.75207i | −0.664104 | + | 0.482500i | −0.868046 | − | 0.496483i | \(-0.834625\pi\) |
0.203942 | + | 0.978983i | \(0.434625\pi\) | |||||||
\(98\) | 2.10399 | 0.212535 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 22.0010 | 2.20010 | ||||||||
\(101\) | −1.39311 | + | 1.01215i | −0.138619 | + | 0.100713i | −0.654934 | − | 0.755686i | \(-0.727304\pi\) |
0.516315 | + | 0.856399i | \(0.327304\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.832485 | + | 2.56213i | −0.0820272 | + | 0.252454i | −0.983656 | − | 0.180056i | \(-0.942372\pi\) |
0.901629 | + | 0.432510i | \(0.142372\pi\) | |||||||
\(104\) | −2.51761 | − | 1.82915i | −0.246872 | − | 0.179363i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.81653 | − | 5.59070i | 0.176437 | − | 0.543017i | ||||
\(107\) | 1.53889 | + | 4.73620i | 0.148770 | + | 0.457866i | 0.997476 | − | 0.0709975i | \(-0.0226183\pi\) |
−0.848707 | + | 0.528864i | \(0.822618\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 11.2061 | 1.07335 | 0.536676 | − | 0.843788i | \(-0.319680\pi\) | ||||
0.536676 | + | 0.843788i | \(0.319680\pi\) | |||||||
\(110\) | −10.5414 | − | 23.9544i | −1.00508 | − | 2.28396i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.39820 | − | 1.74239i | 0.226609 | − | 0.164641i | ||||
\(113\) | −5.07595 | − | 15.6222i | −0.477505 | − | 1.46961i | −0.842549 | − | 0.538620i | \(-0.818946\pi\) |
0.365044 | − | 0.930990i | \(-0.381054\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −14.7913 | − | 10.7465i | −1.37929 | − | 1.00212i | ||||
\(116\) | 21.0610 | + | 15.3017i | 1.95546 | + | 1.42073i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.14997 | + | 9.69460i | 0.289978 | + | 0.892460i | ||||
\(119\) | 1.23523 | − | 0.897450i | 0.113234 | − | 0.0822691i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.43084 | + | 8.11065i | −0.675531 | + | 0.737332i | ||||
\(122\) | −0.626624 | −0.0567318 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.09480 | + | 18.7579i | 0.547329 | + | 1.68450i | ||||
\(125\) | 4.71228 | − | 14.5029i | 0.421479 | − | 1.29718i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 15.8614 | + | 11.5240i | 1.40747 | + | 1.02259i | 0.993684 | + | 0.112213i | \(0.0357939\pi\) |
0.413786 | + | 0.910374i | \(0.364206\pi\) | |||||||
\(128\) | −2.16922 | + | 6.67618i | −0.191734 | + | 0.590096i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −22.1250 | + | 16.0748i | −1.94049 | + | 1.40985i | ||||
\(131\) | 13.3659 | 1.16778 | 0.583891 | − | 0.811832i | \(-0.301530\pi\) | ||||
0.583891 | + | 0.811832i | \(0.301530\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.16008 | −0.447436 | ||||||||
\(134\) | −1.39050 | + | 1.01025i | −0.120120 | + | 0.0872726i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.423650 | + | 1.30386i | −0.0363277 | + | 0.111805i | ||||
\(137\) | 4.27145 | + | 3.10339i | 0.364935 | + | 0.265141i | 0.755107 | − | 0.655601i | \(-0.227585\pi\) |
−0.390173 | + | 0.920742i | \(0.627585\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.60545 | + | 20.3295i | −0.560267 | + | 1.72432i | 0.121344 | + | 0.992610i | \(0.461280\pi\) |
−0.681611 | + | 0.731714i | \(0.738720\pi\) | |||||||
\(140\) | 2.81252 | + | 8.65604i | 0.237701 | + | 0.731569i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −12.0557 | −1.01170 | ||||||||
\(143\) | 9.92968 | + | 5.79028i | 0.830362 | + | 0.484208i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 32.5488 | − | 23.6481i | 2.70303 | − | 1.96387i | ||||
\(146\) | −1.60927 | − | 4.95282i | −0.133184 | − | 0.409898i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −18.1771 | − | 13.2064i | −1.49415 | − | 1.08556i | ||||
\(149\) | 8.89641 | + | 6.46362i | 0.728822 | + | 0.529520i | 0.889191 | − | 0.457537i | \(-0.151268\pi\) |
−0.160369 | + | 0.987057i | \(0.551268\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.09444 | − | 3.36836i | −0.0890647 | − | 0.274113i | 0.896597 | − | 0.442848i | \(-0.146032\pi\) |
−0.985661 | + | 0.168735i | \(0.946032\pi\) | |||||||
\(152\) | 3.74841 | − | 2.72338i | 0.304036 | − | 0.220895i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 5.20590 | − | 4.64682i | 0.419504 | − | 0.374452i | ||||
\(155\) | 30.4813 | 2.44832 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.94277 | + | 12.1346i | 0.314667 | + | 0.968446i | 0.975891 | + | 0.218257i | \(0.0700372\pi\) |
−0.661224 | + | 0.750188i | \(0.729963\pi\) | |||||||
\(158\) | 7.42768 | − | 22.8601i | 0.590915 | − | 1.81865i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 24.3729 | + | 17.7079i | 1.92685 | + | 1.39994i | ||||
\(161\) | 1.50642 | − | 4.63628i | 0.118722 | − | 0.365390i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.1748 | − | 9.57207i | 1.03193 | − | 0.749742i | 0.0632373 | − | 0.997999i | \(-0.479858\pi\) |
0.968694 | + | 0.248256i | \(0.0798575\pi\) | |||||||
\(164\) | 26.4452 | 2.06503 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 22.3990 | 1.73850 | ||||||||
\(167\) | −4.58131 | + | 3.32851i | −0.354512 | + | 0.257568i | −0.750760 | − | 0.660576i | \(-0.770312\pi\) |
0.396247 | + | 0.918144i | \(0.370312\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.305480 | + | 0.940172i | −0.0234985 | + | 0.0723209i | ||||
\(170\) | 9.74714 | + | 7.08171i | 0.747572 | + | 0.543143i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.103245 | + | 0.317757i | −0.00787239 | + | 0.0242287i | ||||
\(173\) | −4.14744 | − | 12.7645i | −0.315324 | − | 0.970467i | −0.975621 | − | 0.219462i | \(-0.929570\pi\) |
0.660297 | − | 0.751004i | \(-0.270430\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 9.06597 | 0.685323 | ||||||||
\(176\) | 2.08566 | − | 9.60783i | 0.157212 | − | 0.724217i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 15.1763 | − | 11.0262i | 1.13751 | − | 0.826450i | ||||
\(179\) | −1.17687 | − | 3.62202i | −0.0879631 | − | 0.270722i | 0.897393 | − | 0.441232i | \(-0.145459\pi\) |
−0.985356 | + | 0.170510i | \(0.945459\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.91914 | + | 5.75359i | 0.588625 | + | 0.427661i | 0.841823 | − | 0.539753i | \(-0.181483\pi\) |
−0.253198 | + | 0.967414i | \(0.581483\pi\) | |||||||
\(182\) | −5.89927 | − | 4.28607i | −0.437283 | − | 0.317705i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.35263 | + | 4.16296i | 0.0997171 | + | 0.306898i | ||||
\(185\) | −28.0920 | + | 20.4100i | −2.06536 | + | 1.50057i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.07425 | − | 4.94867i | 0.0785572 | − | 0.361883i | ||||
\(188\) | 6.62579 | 0.483236 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −12.5825 | − | 38.7250i | −0.912831 | − | 2.80941i | ||||
\(191\) | −2.77796 | + | 8.54967i | −0.201006 | + | 0.618632i | 0.798848 | + | 0.601533i | \(0.205443\pi\) |
−0.999854 | + | 0.0170994i | \(0.994557\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.73227 | + | 3.43819i | 0.340636 | + | 0.247487i | 0.744930 | − | 0.667142i | \(-0.232483\pi\) |
−0.404294 | + | 0.914629i | \(0.632483\pi\) | |||||||
\(194\) | 5.25642 | − | 16.1776i | 0.377389 | − | 1.16148i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.96329 | + | 1.42642i | −0.140235 | + | 0.101887i | ||||
\(197\) | −6.19555 | −0.441414 | −0.220707 | − | 0.975340i | \(-0.570837\pi\) | ||||
−0.220707 | + | 0.975340i | \(0.570837\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −18.8634 | −1.33719 | −0.668596 | − | 0.743626i | \(-0.733105\pi\) | ||||
−0.668596 | + | 0.743626i | \(0.733105\pi\) | |||||||
\(200\) | −6.58575 | + | 4.78482i | −0.465683 | + | 0.338338i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1.11957 | − | 3.44569i | 0.0787729 | − | 0.242438i | ||||
\(203\) | 8.67861 | + | 6.30538i | 0.609119 | + | 0.442551i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.6295 | − | 38.8697i | 0.882084 | − | 2.71477i | ||||
\(206\) | −1.75154 | − | 5.39068i | −0.122036 | − | 0.375587i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.2737 | −0.712351 | ||||||||
\(209\) | −12.7676 | + | 11.3965i | −0.883154 | + | 0.788309i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.517917 | + | 0.376288i | −0.0356549 | + | 0.0259048i | −0.605470 | − | 0.795868i | \(-0.707015\pi\) |
0.569815 | + | 0.821773i | \(0.307015\pi\) | |||||||
\(212\) | 2.09521 | + | 6.44839i | 0.143900 | + | 0.442877i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −8.47667 | − | 6.15866i | −0.579453 | − | 0.420997i | ||||
\(215\) | 0.417737 | + | 0.303504i | 0.0284894 | + | 0.0206988i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.51149 | + | 7.72957i | 0.170491 | + | 0.524717i | ||||
\(218\) | −19.0746 | + | 13.8585i | −1.29190 | + | 0.938618i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 26.0766 | + | 15.2060i | 1.75808 | + | 1.02519i | ||||
\(221\) | −5.29163 | −0.355953 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.16437 | − | 15.8943i | −0.345832 | − | 1.06436i | −0.961137 | − | 0.276072i | \(-0.910967\pi\) |
0.615305 | − | 0.788289i | \(-0.289033\pi\) | |||||||
\(224\) | −2.48226 | + | 7.63960i | −0.165853 | + | 0.510443i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 27.9599 | + | 20.3141i | 1.85987 | + | 1.35127i | ||||
\(227\) | −2.88200 | + | 8.86988i | −0.191285 | + | 0.588714i | 0.808715 | + | 0.588201i | \(0.200164\pi\) |
−1.00000 | 0.000513716i | \(0.999836\pi\) | ||||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −17.2900 | + | 12.5619i | −1.14256 | + | 0.830115i | −0.987473 | − | 0.157786i | \(-0.949564\pi\) |
−0.155083 | + | 0.987902i | \(0.549564\pi\) | |||||||
\(230\) | 38.4672 | 2.53646 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −9.63220 | −0.632385 | ||||||||
\(233\) | −13.8475 | + | 10.0608i | −0.907177 | + | 0.659103i | −0.940299 | − | 0.340348i | \(-0.889455\pi\) |
0.0331221 | + | 0.999451i | \(0.489455\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.16430 | − | 9.73870i | 0.206416 | − | 0.635283i | ||||
\(236\) | −9.51187 | − | 6.91078i | −0.619170 | − | 0.449853i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.992698 | + | 3.05521i | −0.0643470 | + | 0.198040i | ||||
\(239\) | −1.04152 | − | 3.20548i | −0.0673706 | − | 0.207345i | 0.911704 | − | 0.410848i | \(-0.134767\pi\) |
−0.979074 | + | 0.203503i | \(0.934767\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.77583 | 0.372054 | 0.186027 | − | 0.982545i | \(-0.440439\pi\) | ||||
0.186027 | + | 0.982545i | \(0.440439\pi\) | |||||||
\(242\) | 2.61811 | − | 22.9953i | 0.168298 | − | 1.47819i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.584721 | − | 0.424825i | 0.0374330 | − | 0.0271966i | ||||
\(245\) | 1.15896 | + | 3.56690i | 0.0740430 | + | 0.227881i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 14.4681 | + | 10.5117i | 0.920584 | + | 0.668844i | ||||
\(248\) | −5.90391 | − | 4.28944i | −0.374899 | − | 0.272380i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.91459 | + | 30.5140i | 0.627054 | + | 1.92987i | ||||
\(251\) | 9.51530 | − | 6.91327i | 0.600600 | − | 0.436362i | −0.245492 | − | 0.969399i | \(-0.578949\pi\) |
0.846092 | + | 0.533037i | \(0.178949\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.51225 | − | 14.7986i | −0.409422 | − | 0.930380i | ||||
\(254\) | −41.2503 | −2.58827 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 2.21714 | + | 6.82366i | 0.138571 | + | 0.426479i | ||||
\(257\) | 4.40845 | − | 13.5678i | 0.274991 | − | 0.846336i | −0.714230 | − | 0.699911i | \(-0.753223\pi\) |
0.989222 | − | 0.146426i | \(-0.0467769\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.49026 | − | 5.44200i | −0.465422 | − | 0.338149i | ||||
\(260\) | 9.74749 | − | 29.9997i | 0.604514 | − | 1.86050i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −22.7509 | + | 16.5295i | −1.40555 | + | 1.02119i | ||||
\(263\) | 4.85285 | 0.299239 | 0.149620 | − | 0.988744i | \(-0.452195\pi\) | ||||
0.149620 | + | 0.988744i | \(0.452195\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.4786 | 0.643693 | ||||||||
\(266\) | 8.78330 | − | 6.38144i | 0.538539 | − | 0.391271i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0.612603 | − | 1.88540i | 0.0374207 | − | 0.115169i | ||||
\(269\) | −5.14102 | − | 3.73517i | −0.313453 | − | 0.227737i | 0.419923 | − | 0.907560i | \(-0.362057\pi\) |
−0.733377 | + | 0.679822i | \(0.762057\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.70183 | + | 14.4708i | −0.285616 | + | 0.879036i | 0.700597 | + | 0.713557i | \(0.252917\pi\) |
−0.986213 | + | 0.165479i | \(0.947083\pi\) | |||||||
\(272\) | 1.39863 | + | 4.30453i | 0.0848042 | + | 0.261000i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −11.1086 | −0.671098 | ||||||||
\(275\) | 22.4320 | − | 20.0229i | 1.35270 | − | 1.20743i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.306857 | − | 0.222945i | 0.0184372 | − | 0.0133954i | −0.578528 | − | 0.815662i | \(-0.696373\pi\) |
0.596966 | + | 0.802267i | \(0.296373\pi\) | |||||||
\(278\) | −13.8978 | − | 42.7730i | −0.833534 | − | 2.56535i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.72443 | − | 1.97941i | −0.162816 | − | 0.118293i | ||||
\(281\) | 4.08025 | + | 2.96448i | 0.243407 | + | 0.176846i | 0.702800 | − | 0.711387i | \(-0.251933\pi\) |
−0.459393 | + | 0.888233i | \(0.651933\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.93028 | − | 30.5623i | −0.590294 | − | 1.81674i | −0.576881 | − | 0.816828i | \(-0.695730\pi\) |
−0.0134127 | − | 0.999910i | \(-0.504270\pi\) | |||||||
\(284\) | 11.2496 | − | 8.17330i | 0.667540 | − | 0.484996i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −24.0627 | + | 2.42397i | −1.42286 | + | 0.143332i | ||||
\(287\) | 10.8973 | 0.643248 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.53290 | − | 13.9508i | −0.266641 | − | 0.820638i | ||||
\(290\) | −26.1579 | + | 80.5058i | −1.53605 | + | 4.72746i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.85947 | + | 3.53061i | 0.284379 | + | 0.206613i | ||||
\(293\) | −8.28925 | + | 25.5117i | −0.484263 | + | 1.49041i | 0.348783 | + | 0.937204i | \(0.386595\pi\) |
−0.833046 | + | 0.553204i | \(0.813405\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −14.7002 | + | 10.6803i | −0.855878 | + | 0.621832i | ||||
\(296\) | 8.31328 | 0.483200 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −23.1366 | −1.34027 | ||||||||
\(299\) | −13.6684 | + | 9.93069i | −0.790465 | + | 0.574306i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.0425445 | + | 0.130938i | −0.00245222 | + | 0.00754716i | ||||
\(302\) | 6.02854 | + | 4.37999i | 0.346904 | + | 0.252040i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.72680 | − | 14.5476i | 0.271100 | − | 0.834361i | ||||
\(305\) | −0.345168 | − | 1.06232i | −0.0197643 | − | 0.0608282i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.75200 | −0.328284 | −0.164142 | − | 0.986437i | \(-0.552486\pi\) | ||||
−0.164142 | + | 0.986437i | \(0.552486\pi\) | |||||||
\(308\) | −1.70743 | + | 7.86548i | −0.0972899 | + | 0.448177i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −51.8841 | + | 37.6960i | −2.94682 | + | 2.14099i | ||||
\(311\) | −5.52543 | − | 17.0055i | −0.313319 | − | 0.964295i | −0.976441 | − | 0.215784i | \(-0.930769\pi\) |
0.663122 | − | 0.748511i | \(-0.269231\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.7763 | − | 11.4621i | −0.891727 | − | 0.647877i | 0.0446010 | − | 0.999005i | \(-0.485798\pi\) |
−0.936328 | + | 0.351128i | \(0.885798\pi\) | |||||||
\(314\) | −21.7180 | − | 15.7790i | −1.22562 | − | 0.890463i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.56718 | + | 26.3671i | 0.481942 | + | 1.48326i | ||||
\(317\) | −14.1666 | + | 10.2926i | −0.795675 | + | 0.578091i | −0.909642 | − | 0.415393i | \(-0.863644\pi\) |
0.113967 | + | 0.993484i | \(0.463644\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 35.3994 | − | 3.56598i | 1.98199 | − | 0.199657i | ||||
\(320\) | −41.1506 | −2.30039 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.16948 | + | 9.75467i | 0.176628 | + | 0.543607i | ||||
\(323\) | 2.43462 | − | 7.49298i | 0.135466 | − | 0.416921i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −25.4196 | − | 18.4685i | −1.41003 | − | 1.02445i | ||||
\(326\) | −10.5880 | + | 32.5864i | −0.586413 | + | 1.80480i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −7.91608 | + | 5.75137i | −0.437092 | + | 0.317566i | ||||
\(329\) | 2.73030 | 0.150526 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −17.6231 | −0.968652 | −0.484326 | − | 0.874888i | \(-0.660935\pi\) | ||||
−0.484326 | + | 0.874888i | \(0.660935\pi\) | |||||||
\(332\) | −20.9012 | + | 15.1856i | −1.14710 | + | 0.833417i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.68178 | − | 11.3313i | 0.201458 | − | 0.620023i | ||||
\(335\) | −2.47863 | − | 1.80083i | −0.135422 | − | 0.0983897i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.494763 | − | 1.52272i | 0.0269515 | − | 0.0829481i | −0.936676 | − | 0.350197i | \(-0.886115\pi\) |
0.963628 | + | 0.267249i | \(0.0861146\pi\) | |||||||
\(338\) | −0.642727 | − | 1.97811i | −0.0349598 | − | 0.107595i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −13.8965 | −0.753641 | ||||||||
\(341\) | 23.2856 | + | 13.5785i | 1.26098 | + | 0.735316i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −0.809017 | + | 0.587785i | −0.0436828 | + | 0.0317374i | ||||
\(344\) | −0.0382011 | − | 0.117571i | −0.00205967 | − | 0.00633900i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 22.8454 | + | 16.5981i | 1.22817 | + | 0.892321i | ||||
\(347\) | 2.78676 | + | 2.02470i | 0.149601 | + | 0.108691i | 0.660068 | − | 0.751206i | \(-0.270527\pi\) |
−0.510467 | + | 0.859897i | \(0.670527\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.04987 | + | 3.23117i | 0.0561983 | + | 0.172961i | 0.975216 | − | 0.221257i | \(-0.0710158\pi\) |
−0.919017 | + | 0.394217i | \(0.871016\pi\) | |||||||
\(350\) | −15.4318 | + | 11.2118i | −0.824862 | + | 0.599297i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 10.7308 | + | 24.3850i | 0.571954 | + | 1.29972i | ||||
\(353\) | −10.4083 | −0.553977 | −0.276989 | − | 0.960873i | \(-0.589336\pi\) | ||||
−0.276989 | + | 0.960873i | \(0.589336\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −6.64076 | − | 20.4382i | −0.352455 | − | 1.08475i | ||||
\(356\) | −6.68613 | + | 20.5778i | −0.354364 | + | 1.09062i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.48254 | + | 4.70984i | 0.342613 | + | 0.248923i | ||||
\(359\) | −7.10580 | + | 21.8694i | −0.375030 | + | 1.15422i | 0.568429 | + | 0.822732i | \(0.307551\pi\) |
−0.943459 | + | 0.331490i | \(0.892449\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.16995 | + | 4.48273i | −0.324734 | + | 0.235933i | ||||
\(362\) | −20.5951 | −1.08245 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 8.41057 | 0.440834 | ||||||||
\(365\) | 7.51010 | − | 5.45640i | 0.393096 | − | 0.285601i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.06776 | − | 18.6747i | 0.316735 | − | 0.974809i | −0.658300 | − | 0.752756i | \(-0.728724\pi\) |
0.975035 | − | 0.222053i | \(-0.0712759\pi\) | |||||||
\(368\) | 11.6909 | + | 8.49395i | 0.609431 | + | 0.442778i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 22.5762 | − | 69.4823i | 1.17368 | − | 3.61221i | ||||
\(371\) | 0.863375 | + | 2.65719i | 0.0448242 | + | 0.137955i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −31.9047 | −1.65196 | −0.825981 | − | 0.563698i | \(-0.809378\pi\) | ||||
−0.825981 | + | 0.563698i | \(0.809378\pi\) | |||||||
\(374\) | 4.29144 | + | 9.75197i | 0.221905 | + | 0.504262i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.98336 | + | 1.44099i | −0.102284 | + | 0.0743135i | ||||
\(377\) | −11.4887 | − | 35.3587i | −0.591700 | − | 1.82107i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.39117 | + | 1.01074i | 0.0714594 | + | 0.0519183i | 0.622941 | − | 0.782268i | \(-0.285937\pi\) |
−0.551482 | + | 0.834187i | \(0.685937\pi\) | |||||||
\(380\) | 37.9951 | + | 27.6050i | 1.94911 | + | 1.41611i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.84479 | − | 17.9884i | −0.299045 | − | 0.920367i | ||||
\(383\) | 7.02258 | − | 5.10220i | 0.358837 | − | 0.260710i | −0.393730 | − | 0.919226i | \(-0.628815\pi\) |
0.752567 | + | 0.658516i | \(0.228815\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 10.7454 | + | 6.26595i | 0.547636 | + | 0.319342i | ||||
\(386\) | −12.3071 | −0.626414 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 6.06282 | + | 18.6594i | 0.307793 | + | 0.947290i | ||||
\(389\) | 8.28220 | − | 25.4900i | 0.419924 | − | 1.29239i | −0.487847 | − | 0.872929i | \(-0.662218\pi\) |
0.907771 | − | 0.419465i | \(-0.137782\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.02160 | + | 4.37495i | 0.304526 | + | 0.221251i | ||||
\(392\) | 0.277470 | − | 0.853964i | 0.0140143 | − | 0.0431317i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 10.5458 | − | 7.66199i | 0.531291 | − | 0.386005i | ||||
\(395\) | 42.8462 | 2.15583 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.8714 | −0.896938 | −0.448469 | − | 0.893798i | \(-0.648031\pi\) | ||||
−0.448469 | + | 0.893798i | \(0.648031\pi\) | |||||||
\(398\) | 32.1086 | − | 23.3283i | 1.60946 | − | 1.16934i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.30471 | + | 25.5593i | −0.415236 | + | 1.27796i | ||||
\(401\) | −23.3916 | − | 16.9950i | −1.16812 | − | 0.848689i | −0.177337 | − | 0.984150i | \(-0.556748\pi\) |
−0.990783 | + | 0.135462i | \(0.956748\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 8.70420 | − | 26.7888i | 0.433587 | − | 1.33444i | ||||
\(404\) | 1.29133 | + | 3.97430i | 0.0642461 | + | 0.197729i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −22.5702 | −1.12014 | ||||||||
\(407\) | −30.5523 | + | 3.07770i | −1.51442 | + | 0.152556i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −22.3760 | + | 16.2571i | −1.10642 | + | 0.803864i | −0.982097 | − | 0.188378i | \(-0.939677\pi\) |
−0.124327 | + | 0.992241i | \(0.539677\pi\) | |||||||
\(410\) | 26.5724 | + | 81.7813i | 1.31232 | + | 4.03889i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.28908 | + | 3.84274i | 0.260574 | + | 0.189318i | ||||
\(413\) | −3.91956 | − | 2.84773i | −0.192869 | − | 0.140128i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 12.3382 | + | 37.9731i | 0.605659 | + | 1.86403i | ||||
\(416\) | 22.5227 | − | 16.3637i | 1.10426 | − | 0.802295i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.63863 | − | 35.1882i | 0.373618 | − | 1.72111i | ||||
\(419\) | 4.51003 | 0.220330 | 0.110165 | − | 0.993913i | \(-0.464862\pi\) | ||||
0.110165 | + | 0.993913i | \(0.464862\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.1075 | + | 34.1853i | 0.541345 | + | 1.66609i | 0.729526 | + | 0.683953i | \(0.239741\pi\) |
−0.188181 | + | 0.982134i | \(0.560259\pi\) | |||||||
\(422\) | 0.416225 | − | 1.28101i | 0.0202615 | − | 0.0623585i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.02959 | − | 1.47458i | −0.0985655 | − | 0.0716120i | ||||
\(425\) | −4.27748 | + | 13.1647i | −0.207488 | + | 0.638583i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.240947 | − | 0.175058i | 0.0116602 | − | 0.00847165i | ||||
\(428\) | 12.0851 | 0.584158 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.08640 | −0.0523907 | ||||||||
\(431\) | −17.9771 | + | 13.0611i | −0.865927 | + | 0.629133i | −0.929491 | − | 0.368845i | \(-0.879753\pi\) |
0.0635640 | + | 0.997978i | \(0.479753\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.87661 | − | 24.2417i | 0.378526 | − | 1.16498i | −0.562544 | − | 0.826768i | \(-0.690177\pi\) |
0.941069 | − | 0.338214i | \(-0.109823\pi\) | |||||||
\(434\) | −13.8341 | − | 10.0510i | −0.664056 | − | 0.482465i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.40360 | − | 25.8636i | 0.402460 | − | 1.23864i | ||||
\(437\) | −7.77324 | − | 23.9236i | −0.371845 | − | 1.14442i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 11.1407 | 0.531715 | 0.265857 | − | 0.964012i | \(-0.414345\pi\) | ||||
0.265857 | + | 0.964012i | \(0.414345\pi\) | |||||||
\(440\) | −11.1128 | + | 1.11945i | −0.529780 | + | 0.0533676i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.00720 | − | 6.54412i | 0.428429 | − | 0.311272i | ||||
\(443\) | −4.28027 | − | 13.1733i | −0.203362 | − | 0.625883i | −0.999777 | − | 0.0211325i | \(-0.993273\pi\) |
0.796415 | − | 0.604751i | \(-0.206727\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 27.0525 | + | 19.6548i | 1.28241 | + | 0.931726i | ||||
\(446\) | 28.4470 | + | 20.6679i | 1.34700 | + | 0.978655i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3.39058 | − | 10.4351i | −0.160190 | − | 0.493013i | ||||
\(449\) | 8.64664 | − | 6.28215i | 0.408060 | − | 0.296473i | −0.364756 | − | 0.931103i | \(-0.618848\pi\) |
0.772816 | + | 0.634630i | \(0.218848\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 26.9633 | − | 24.0676i | 1.26965 | − | 1.13330i | ||||
\(452\) | −39.8624 | −1.87497 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −6.06369 | − | 18.6621i | −0.284583 | − | 0.875857i | ||||
\(455\) | 4.01666 | − | 12.3620i | 0.188304 | − | 0.579540i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −25.3852 | − | 18.4434i | −1.18747 | − | 0.862746i | −0.194473 | − | 0.980908i | \(-0.562300\pi\) |
−0.992994 | + | 0.118162i | \(0.962300\pi\) | |||||||
\(458\) | 13.8951 | − | 42.7649i | 0.649278 | − | 1.99827i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −35.8950 | + | 26.0792i | −1.67361 | + | 1.21595i | ||||
\(461\) | −41.1844 | −1.91815 | −0.959075 | − | 0.283151i | \(-0.908620\pi\) | ||||
−0.959075 | + | 0.283151i | \(0.908620\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 35.6274 | 1.65575 | 0.827874 | − | 0.560915i | \(-0.189550\pi\) | ||||
0.827874 | + | 0.560915i | \(0.189550\pi\) | |||||||
\(464\) | −25.7263 | + | 18.6913i | −1.19432 | + | 0.867721i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.1285 | − | 34.2501i | 0.515520 | − | 1.58661i | ||||
\(467\) | 5.22581 | + | 3.79677i | 0.241821 | + | 0.175694i | 0.702094 | − | 0.712084i | \(-0.252248\pi\) |
−0.460273 | + | 0.887777i | \(0.652248\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.252436 | − | 0.776917i | 0.0116564 | − | 0.0358747i | ||||
\(470\) | 6.65764 | + | 20.4901i | 0.307094 | + | 0.945139i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.35024 | 0.200236 | ||||||||
\(473\) | 0.183920 | + | 0.417944i | 0.00845665 | + | 0.0192171i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 37.8468 | − | 27.4973i | 1.73653 | − | 1.26166i | ||||
\(476\) | −1.14499 | − | 3.52392i | −0.0524805 | − | 0.161518i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5.73704 | + | 4.16820i | 0.262406 | + | 0.190649i | ||||
\(479\) | −5.50379 | − | 3.99874i | −0.251475 | − | 0.182707i | 0.454905 | − | 0.890540i | \(-0.349673\pi\) |
−0.706380 | + | 0.707833i | \(0.749673\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 9.91561 | + | 30.5171i | 0.452113 | + | 1.39146i | ||||
\(482\) | −9.83139 | + | 7.14293i | −0.447808 | + | 0.325351i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 13.1468 | + | 23.2326i | 0.597584 | + | 1.05603i | ||||
\(485\) | 30.3214 | 1.37682 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8.25829 | + | 25.4164i | 0.374219 | + | 1.15173i | 0.944004 | + | 0.329933i | \(0.107026\pi\) |
−0.569786 | + | 0.821793i | \(0.692974\pi\) | |||||||
\(488\) | −0.0826378 | + | 0.254333i | −0.00374084 | + | 0.0115131i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.38390 | − | 4.63817i | −0.288395 | − | 0.209531i | ||||
\(491\) | 1.88271 | − | 5.79438i | 0.0849654 | − | 0.261497i | −0.899544 | − | 0.436831i | \(-0.856101\pi\) |
0.984509 | + | 0.175335i | \(0.0561007\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.2508 | + | 9.62726i | −0.596785 | + | 0.433590i | ||||
\(494\) | −37.6268 | −1.69291 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −24.0922 | −1.08177 | ||||||||
\(497\) | 4.63563 | − | 3.36798i | 0.207936 | − | 0.151075i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.462142 | − | 1.42233i | 0.0206883 | − | 0.0636721i | −0.940179 | − | 0.340680i | \(-0.889343\pi\) |
0.960868 | + | 0.277008i | \(0.0893428\pi\) | |||||||
\(500\) | −29.9388 | − | 21.7518i | −1.33890 | − | 0.972771i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.64699 | + | 23.5350i | −0.341302 | + | 1.05042i | ||||
\(503\) | −4.44469 | − | 13.6793i | −0.198179 | − | 0.609932i | −0.999925 | − | 0.0122669i | \(-0.996095\pi\) |
0.801746 | − | 0.597665i | \(-0.203905\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.45820 | 0.287386 | ||||||||
\(506\) | 29.3862 | + | 17.1360i | 1.30638 | + | 0.761786i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 38.4919 | − | 27.9660i | 1.70780 | − | 1.24079i | ||||
\(509\) | 0.860293 | + | 2.64771i | 0.0381318 | + | 0.117358i | 0.968310 | − | 0.249749i | \(-0.0803483\pi\) |
−0.930179 | + | 0.367107i | \(0.880348\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2.00245 | + | 1.45486i | 0.0885830 | + | 0.0643593i | ||||
\(512\) | −23.5709 | − | 17.1253i | −1.04170 | − | 0.756837i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.27532 | + | 28.5465i | 0.409117 | + | 1.25913i | ||||
\(515\) | 8.17404 | − | 5.93879i | 0.360191 | − | 0.261694i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 6.75558 | − | 6.03008i | 0.297110 | − | 0.265203i | ||||
\(518\) | 19.4797 | 0.855890 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.60660 | + | 11.1000i | 0.158160 | + | 0.486766i | ||||
\(521\) | −12.5241 | + | 38.5453i | −0.548691 | + | 1.68870i | 0.163356 | + | 0.986567i | \(0.447768\pi\) |
−0.712047 | + | 0.702131i | \(0.752232\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −0.724294 | − | 0.526231i | −0.0316712 | − | 0.0230105i | 0.571837 | − | 0.820367i | \(-0.306231\pi\) |
−0.603508 | + | 0.797357i | \(0.706231\pi\) | |||||||
\(524\) | 10.0232 | − | 30.8483i | 0.437867 | − | 1.34762i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.26033 | + | 6.00148i | −0.360168 | + | 0.261677i | ||||
\(527\) | −12.4091 | −0.540549 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.764354 | 0.0332328 | ||||||||
\(530\) | −17.8362 | + | 12.9588i | −0.774756 | + | 0.562893i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −3.86961 | + | 11.9094i | −0.167769 | + | 0.516339i | ||||
\(533\) | −30.5545 | − | 22.1991i | −1.32346 | − | 0.961551i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.77154 | − | 17.7630i | 0.249525 | − | 0.767960i | ||||
\(536\) | 0.226665 | + | 0.697602i | 0.00979042 | + | 0.0301318i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 13.3701 | 0.576426 | ||||||||
\(539\) | −0.703583 | + | 3.24114i | −0.0303055 | + | 0.139606i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.31464 | − | 1.68169i | 0.0995144 | − | 0.0723014i | −0.536915 | − | 0.843636i | \(-0.680411\pi\) |
0.636430 | + | 0.771335i | \(0.280411\pi\) | |||||||
\(542\) | −9.89260 | − | 30.4463i | −0.424924 | − | 1.30778i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.92233 | − | 7.20899i | −0.425416 | − | 0.309083i | ||||
\(545\) | −34.0015 | − | 24.7035i | −1.45646 | − | 1.05818i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 8.25667 | + | 25.4114i | 0.353030 | + | 1.08651i | 0.957143 | + | 0.289615i | \(0.0935273\pi\) |
−0.604114 | + | 0.796898i | \(0.706473\pi\) | |||||||
\(548\) | 10.3658 | − | 7.53120i | 0.442806 | − | 0.321717i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −13.4206 | + | 61.8237i | −0.572258 | + | 2.63617i | ||||
\(551\) | 55.3540 | 2.35816 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.53029 | + | 10.8651i | 0.150123 | + | 0.462031i | ||||
\(554\) | −0.246606 | + | 0.758976i | −0.0104773 | + | 0.0322458i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 41.9668 | + | 30.4907i | 1.77979 | + | 1.29309i | ||||
\(557\) | 3.53536 | − | 10.8807i | 0.149798 | − | 0.461031i | −0.847799 | − | 0.530318i | \(-0.822073\pi\) |
0.997597 | + | 0.0692874i | \(0.0220726\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.386025 | − | 0.280464i | 0.0163271 | − | 0.0118624i | ||||
\(560\) | −11.1176 | −0.469806 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −10.6114 | −0.447615 | ||||||||
\(563\) | 9.88153 | − | 7.17935i | 0.416457 | − | 0.302574i | −0.359754 | − | 0.933047i | \(-0.617139\pi\) |
0.776211 | + | 0.630474i | \(0.217139\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.0372 | + | 58.5904i | −0.800900 | + | 2.46492i | ||||
\(566\) | 54.6991 | + | 39.7412i | 2.29917 | + | 1.67045i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.58989 | + | 4.89317i | −0.0667102 | + | 0.205313i | ||||
\(569\) | −6.29680 | − | 19.3796i | −0.263976 | − | 0.812433i | −0.991928 | − | 0.126805i | \(-0.959528\pi\) |
0.727952 | − | 0.685628i | \(-0.240472\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.3621 | −0.852129 | −0.426065 | − | 0.904693i | \(-0.640100\pi\) | ||||
−0.426065 | + | 0.904693i | \(0.640100\pi\) | |||||||
\(572\) | 20.8103 | − | 18.5754i | 0.870123 | − | 0.776677i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −18.5490 | + | 13.4766i | −0.774220 | + | 0.562504i | ||||
\(575\) | 13.6571 | + | 42.0323i | 0.569542 | + | 1.75287i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −4.89034 | − | 3.55304i | −0.203588 | − | 0.147915i | 0.481320 | − | 0.876545i | \(-0.340157\pi\) |
−0.684908 | + | 0.728630i | \(0.740157\pi\) | |||||||
\(578\) | 24.9686 | + | 18.1408i | 1.03856 | + | 0.754557i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −30.1709 | − | 92.8564i | −1.25278 | − | 3.85565i | ||||
\(581\) | −8.61276 | + | 6.25754i | −0.357318 | + | 0.259606i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.00488 | + | 4.66787i | 0.331528 | + | 0.193324i | ||||
\(584\) | −2.22247 | −0.0919665 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −17.4405 | − | 53.6763i | −0.720459 | − | 2.21735i | ||||
\(587\) | −11.2920 | + | 34.7533i | −0.466072 | + | 1.43442i | 0.391557 | + | 0.920154i | \(0.371936\pi\) |
−0.857629 | + | 0.514268i | \(0.828064\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 33.9284 | + | 24.6504i | 1.39800 | + | 1.01570i | ||||
\(590\) | 11.8138 | − | 36.3592i | 0.486368 | − | 1.49689i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 22.2037 | − | 16.1319i | 0.912566 | − | 0.663018i | ||||
\(593\) | −15.6666 | −0.643349 | −0.321675 | − | 0.946850i | \(-0.604246\pi\) | ||||
−0.321675 | + | 0.946850i | \(0.604246\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.72633 | −0.234757 | ||||||||
\(596\) | 21.5895 | − | 15.6857i | 0.884340 | − | 0.642511i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 10.9847 | − | 33.8073i | 0.449196 | − | 1.38248i | ||||
\(599\) | 22.9983 | + | 16.7092i | 0.939683 | + | 0.682720i | 0.948344 | − | 0.317243i | \(-0.102757\pi\) |
−0.00866125 | + | 0.999962i | \(0.502757\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.80479 | + | 11.7099i | −0.155201 | + | 0.477658i | −0.998181 | − | 0.0602858i | \(-0.980799\pi\) |
0.842981 | + | 0.537944i | \(0.180799\pi\) | |||||||
\(602\) | −0.0895130 | − | 0.275493i | −0.00364828 | − | 0.0112282i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −8.59487 | −0.349720 | ||||||||
\(605\) | 40.4262 | − | 8.22820i | 1.64356 | − | 0.334524i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 27.1485 | − | 19.7245i | 1.10192 | − | 0.800594i | 0.120550 | − | 0.992707i | \(-0.461534\pi\) |
0.981373 | + | 0.192113i | \(0.0615342\pi\) | |||||||
\(608\) | 12.8087 | + | 39.4210i | 0.519460 | + | 1.59873i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.90129 | + | 1.38137i | 0.0769811 | + | 0.0559301i | ||||
\(611\) | −7.65535 | − | 5.56194i | −0.309702 | − | 0.225012i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.66265 | − | 5.11712i | −0.0671540 | − | 0.206679i | 0.911849 | − | 0.410527i | \(-0.134655\pi\) |
−0.979003 | + | 0.203848i | \(0.934655\pi\) | |||||||
\(614\) | 9.79083 | − | 7.11346i | 0.395126 | − | 0.287076i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −1.19950 | − | 2.72578i | −0.0483293 | − | 0.109825i | ||||
\(617\) | 29.3058 | 1.17981 | 0.589904 | − | 0.807473i | \(-0.299166\pi\) | ||||
0.589904 | + | 0.807473i | \(0.299166\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1.03779 | + | 3.19399i | 0.0417123 | + | 0.128377i | 0.969744 | − | 0.244124i | \(-0.0785003\pi\) |
−0.928032 | + | 0.372501i | \(0.878500\pi\) | |||||||
\(620\) | 22.8583 | − | 70.3506i | 0.918012 | − | 2.82535i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 30.4358 | + | 22.1129i | 1.22036 | + | 0.886647i | ||||
\(623\) | −2.75516 | + | 8.47951i | −0.110383 | + | 0.339724i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −9.59653 | + | 6.97229i | −0.383861 | + | 0.278891i | ||||
\(626\) | 41.0289 | 1.63984 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 30.9633 | 1.23557 | ||||||||
\(629\) | 11.4364 | − | 8.30902i | 0.455998 | − | 0.331302i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.62320 | + | 29.6172i | −0.383093 | + | 1.17904i | 0.554761 | + | 0.832010i | \(0.312810\pi\) |
−0.937854 | + | 0.347030i | \(0.887190\pi\) | |||||||
\(632\) | −8.29886 | − | 6.02948i | −0.330111 | − | 0.239840i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 11.3850 | − | 35.0394i | 0.452156 | − | 1.39159i | ||||
\(635\) | −22.7222 | − | 69.9318i | −0.901704 | − | 2.77516i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.46575 | 0.137318 | ||||||||
\(638\) | −55.8456 | + | 49.8481i | −2.21095 | + | 1.97351i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 21.2992 | − | 15.4748i | 0.841926 | − | 0.611695i | ||||
\(641\) | −6.57985 | − | 20.2507i | −0.259888 | − | 0.799855i | −0.992827 | − | 0.119560i | \(-0.961852\pi\) |
0.732939 | − | 0.680295i | \(-0.238148\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −18.4098 | − | 13.3755i | −0.726011 | − | 0.527478i | 0.162288 | − | 0.986743i | \(-0.448113\pi\) |
−0.888299 | + | 0.459265i | \(0.848113\pi\) | |||||||
\(644\) | −9.57081 | − | 6.95360i | −0.377143 | − | 0.274010i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.12241 | + | 15.7651i | 0.201538 | + | 0.620271i | ||||
\(647\) | 34.8543 | − | 25.3232i | 1.37027 | − | 0.995556i | 0.372549 | − | 0.928013i | \(-0.378484\pi\) |
0.997716 | − | 0.0675433i | \(-0.0215161\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.9876 | + | 1.61052i | −0.627569 | + | 0.0632185i | ||||
\(650\) | 66.1082 | 2.59298 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −12.2123 | − | 37.5856i | −0.478270 | − | 1.47197i | ||||
\(653\) | −11.0514 | + | 34.0126i | −0.432473 | + | 1.33102i | 0.463181 | + | 0.886264i | \(0.346708\pi\) |
−0.895654 | + | 0.444752i | \(0.853292\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −40.5546 | − | 29.4646i | −1.58460 | − | 1.15128i | ||||
\(656\) | −9.98228 | + | 30.7223i | −0.389743 | + | 1.19950i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.64741 | + | 3.37654i | −0.181175 | + | 0.131631i | ||||
\(659\) | −16.6988 | −0.650495 | −0.325247 | − | 0.945629i | \(-0.605448\pi\) | ||||
−0.325247 | + | 0.945629i | \(0.605448\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 36.5422 | 1.42133 | 0.710664 | − | 0.703532i | \(-0.248395\pi\) | ||||
0.710664 | + | 0.703532i | \(0.248395\pi\) | |||||||
\(662\) | 29.9973 | − | 21.7943i | 1.16588 | − | 0.847061i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.95393 | − | 9.09126i | 0.114635 | − | 0.352809i | ||||
\(665\) | 15.6567 | + | 11.3752i | 0.607139 | + | 0.441113i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −16.1599 | + | 49.7350i | −0.625713 | + | 1.92575i | ||||
\(668\) | 4.24661 | + | 13.0697i | 0.164306 | + | 0.505682i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 6.44609 | 0.249034 | ||||||||
\(671\) | 0.209546 | − | 0.965297i | 0.00808942 | − | 0.0372649i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −23.1936 | + | 16.8512i | −0.894049 | + | 0.649564i | −0.936930 | − | 0.349516i | \(-0.886346\pi\) |
0.0428818 | + | 0.999080i | \(0.486346\pi\) | |||||||
\(674\) | 1.04098 | + | 3.20379i | 0.0400969 | + | 0.123405i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.94083 | + | 1.41009i | 0.0746472 | + | 0.0542343i | ||||
\(677\) | 8.88350 | + | 6.45424i | 0.341421 | + | 0.248057i | 0.745261 | − | 0.666773i | \(-0.232325\pi\) |
−0.403840 | + | 0.914829i | \(0.632325\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.49831 | + | 7.68902i | 0.0958764 | + | 0.295077i | ||||
\(680\) | 4.15975 | − | 3.02223i | 0.159519 | − | 0.115897i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −56.4282 | + | 5.68432i | −2.16075 | + | 0.217664i | ||||
\(683\) | −25.3941 | −0.971679 | −0.485840 | − | 0.874048i | \(-0.661486\pi\) | ||||
−0.485840 | + | 0.874048i | \(0.661486\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.11906 | − | 18.8325i | −0.233797 | − | 0.719554i | ||||
\(686\) | 0.650168 | − | 2.00101i | 0.0248235 | − | 0.0763990i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.330176 | − | 0.239887i | −0.0125879 | − | 0.00914562i | ||||
\(689\) | 2.99224 | − | 9.20918i | 0.113995 | − | 0.350842i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 21.5170 | − | 15.6330i | 0.818545 | − | 0.594708i | −0.0977502 | − | 0.995211i | \(-0.531165\pi\) |
0.916295 | + | 0.400503i | \(0.131165\pi\) | |||||||
\(692\) | −32.5706 | −1.23815 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −7.24744 | −0.275109 | ||||||||
\(695\) | 64.8579 | − | 47.1220i | 2.46020 | − | 1.78744i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.14154 | + | 15.8240i | −0.194750 | + | 0.599378i | ||||
\(698\) | −5.78302 | − | 4.20161i | −0.218890 | − | 0.159033i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.79868 | − | 20.9242i | 0.256966 | − | 0.790860i | ||||
\(701\) | 13.9546 | + | 42.9477i | 0.527057 | + | 1.62211i | 0.760213 | + | 0.649674i | \(0.225095\pi\) |
−0.233156 | + | 0.972439i | \(0.574905\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −47.7745 | −1.80185 | ||||||||
\(704\) | −31.4361 | − | 18.3313i | −1.18479 | − | 0.690887i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 17.7166 | − | 12.8719i | 0.666773 | − | 0.484439i | ||||
\(707\) | 0.532120 | + | 1.63770i | 0.0200124 | + | 0.0615919i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −34.5641 | − | 25.1123i | −1.29808 | − | 0.943111i | −0.298146 | − | 0.954520i | \(-0.596368\pi\) |
−0.999935 | + | 0.0114097i | \(0.996368\pi\) | |||||||
\(710\) | 36.5794 | + | 26.5765i | 1.37280 | + | 0.997398i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −2.47389 | − | 7.61384i | −0.0927128 | − | 0.285341i | ||||
\(713\) | −32.0531 | + | 23.2879i | −1.20040 | + | 0.872139i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.3640 | − | 39.4584i | −0.649378 | − | 1.47566i | ||||
\(716\) | −9.24214 | −0.345395 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −14.9505 | − | 46.0130i | −0.557948 | − | 1.71719i | ||||
\(719\) | 4.77125 | − | 14.6844i | 0.177938 | − | 0.547636i | −0.821818 | − | 0.569751i | \(-0.807040\pi\) |
0.999755 | + | 0.0221144i | \(0.00703981\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.17947 | + | 1.58348i | 0.0811679 | + | 0.0589719i | ||||
\(722\) | 4.95849 | − | 15.2607i | 0.184536 | − | 0.567943i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 19.2179 | − | 13.9626i | 0.714227 | − | 0.518917i | ||||
\(725\) | −97.2539 | −3.61192 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.8932 | 0.552357 | 0.276178 | − | 0.961106i | \(-0.410932\pi\) | ||||
0.276178 | + | 0.961106i | \(0.410932\pi\) | |||||||
\(728\) | −2.51761 | + | 1.82915i | −0.0933088 | + | 0.0677928i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.03550 | + | 18.5754i | −0.223384 | + | 0.687505i | ||||
\(731\) | −0.170063 | − | 0.123558i | −0.00629001 | − | 0.00456996i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.28260 | + | 7.02511i | −0.0843096 | + | 0.259478i | −0.984321 | − | 0.176389i | \(-0.943558\pi\) |
0.900011 | + | 0.435867i | \(0.143558\pi\) | |||||||
\(734\) | 12.7665 | + | 39.2913i | 0.471220 | + | 1.45027i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −39.1586 | −1.44341 | ||||||||
\(737\) | −1.09128 | − | 2.47985i | −0.0401979 | − | 0.0913466i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −28.1984 | + | 20.4874i | −1.03730 | + | 0.753640i | −0.969756 | − | 0.244077i | \(-0.921515\pi\) |
−0.0675401 | + | 0.997717i | \(0.521515\pi\) | |||||||
\(740\) | 26.0396 | + | 80.1417i | 0.957235 | + | 2.94607i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.75574 | − | 3.45525i | −0.174589 | − | 0.126846i | ||||
\(743\) | −2.69669 | − | 1.95926i | −0.0989321 | − | 0.0718783i | 0.537219 | − | 0.843442i | \(-0.319475\pi\) |
−0.636152 | + | 0.771564i | \(0.719475\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.7445 | − | 39.2237i | −0.466924 | − | 1.43704i | ||||
\(746\) | 54.3069 | − | 39.4563i | 1.98832 | − | 1.44460i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.6159 | − | 6.19044i | −0.388156 | − | 0.226345i | ||||
\(749\) | 4.97994 | 0.181963 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.8399 | + | 48.7501i | 0.578005 | + | 1.77892i | 0.625711 | + | 0.780055i | \(0.284809\pi\) |
−0.0477057 | + | 0.998861i | \(0.515191\pi\) | |||||||
\(752\) | −2.50104 | + | 7.69740i | −0.0912034 | + | 0.280695i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 63.2836 | + | 45.9782i | 2.30465 | + | 1.67443i | ||||
\(755\) | −4.10467 | + | 12.6329i | −0.149384 | + | 0.459758i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −3.29614 | + | 2.39479i | −0.119800 | + | 0.0870401i | −0.646072 | − | 0.763276i | \(-0.723589\pi\) |
0.526272 | + | 0.850316i | \(0.323589\pi\) | |||||||
\(758\) | −3.61797 | −0.131411 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −17.3770 | −0.630330 | ||||||||
\(761\) | 4.86330 | − | 3.53339i | 0.176294 | − | 0.128085i | −0.496139 | − | 0.868243i | \(-0.665249\pi\) |
0.672433 | + | 0.740158i | \(0.265249\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3.46288 | − | 10.6577i | 0.125365 | − | 0.385833i | ||||
\(764\) | 17.6493 | + | 12.8230i | 0.638531 | + | 0.463920i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −5.64371 | + | 17.3696i | −0.203916 | + | 0.627588i | ||||
\(767\) | 5.18872 | + | 15.9692i | 0.187354 | + | 0.576616i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 43.2310 | 1.55895 | 0.779474 | − | 0.626434i | \(-0.215486\pi\) | ||||
0.779474 | + | 0.626434i | \(0.215486\pi\) | |||||||
\(770\) | −26.0395 | + | 2.62310i | −0.938397 | + | 0.0945299i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 11.4841 | − | 8.34369i | 0.413322 | − | 0.300296i | ||||
\(773\) | 2.98056 | + | 9.17322i | 0.107203 | + | 0.329938i | 0.990241 | − | 0.139364i | \(-0.0445057\pi\) |
−0.883038 | + | 0.469302i | \(0.844506\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −59.6102 | − | 43.3094i | −2.14126 | − | 1.55572i | ||||
\(776\) | −5.87293 | − | 4.26694i | −0.210826 | − | 0.153174i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 17.4257 | + | 53.6307i | 0.624740 | + | 1.92275i | ||||
\(779\) | 45.4919 | − | 33.0518i | 1.62992 | − | 1.18420i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.03150 | − | 18.5716i | 0.144258 | − | 0.664542i | ||||
\(782\) | −15.6602 | −0.560008 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −0.916031 | − | 2.81925i | −0.0327154 | − | 0.100688i | ||||
\(785\) | 14.7872 | − | 45.5103i | 0.527778 | − | 1.62433i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 19.5129 | + | 14.1769i | 0.695558 | + | 0.505353i | 0.878483 | − | 0.477774i | \(-0.158556\pi\) |
−0.182924 | + | 0.983127i | \(0.558556\pi\) | |||||||
\(788\) | −4.64611 | + | 14.2993i | −0.165511 | + | 0.509390i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −72.9312 | + | 52.9876i | −2.59478 | + | 1.88522i | ||||
\(791\) | −16.4261 | −0.584046 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.03219 | −0.0366543 | ||||||||
\(794\) | 30.4200 | − | 22.1014i | 1.07956 | − | 0.784349i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −14.1459 | + | 43.5366i | −0.501388 | + | 1.54311i | ||||
\(797\) | −34.3079 | − | 24.9262i | −1.21525 | − | 0.882931i | −0.219553 | − | 0.975601i | \(-0.570460\pi\) |
−0.995697 | + | 0.0926701i | \(0.970460\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −1.28820 | + | 3.96468i | −0.0455733 | + | 0.140260i | ||||
\(800\) | −22.5041 | − | 69.2604i | −0.795639 | − | 2.44873i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 60.8338 | 2.14812 | ||||||||
\(803\) | 8.16783 | − | 0.822790i | 0.288237 | − | 0.0290356i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −14.7913 | + | 10.7465i | −0.521324 | + | 0.378764i | ||||
\(806\) | 18.3135 | + | 56.3633i | 0.645067 | + | 1.98531i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.25089 | − | 0.908821i | −0.0440060 | − | 0.0319722i | ||||
\(809\) | −2.80108 | − | 2.03510i | −0.0984806 | − | 0.0715503i | 0.537455 | − | 0.843292i | \(-0.319386\pi\) |
−0.635936 | + | 0.771742i | \(0.719386\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.86848 | + | 14.9837i | 0.170956 | + | 0.526147i | 0.999426 | − | 0.0338861i | \(-0.0107883\pi\) |
−0.828470 | + | 0.560033i | \(0.810788\pi\) | |||||||
\(812\) | 21.0610 | − | 15.3017i | 0.739095 | − | 0.536984i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 48.1987 | − | 43.0225i | 1.68937 | − | 1.50794i | ||||
\(815\) | −61.0762 | −2.13941 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.219533 | + | 0.675653i | 0.00768049 | + | 0.0236381i | ||||
\(818\) | 17.9825 | − | 55.3446i | 0.628745 | − | 1.93508i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −80.2398 | − | 58.2976i | −2.80210 | − | 2.03584i | ||||
\(821\) | −2.45096 | + | 7.54328i | −0.0855391 | + | 0.263262i | −0.984673 | − | 0.174412i | \(-0.944198\pi\) |
0.899134 | + | 0.437674i | \(0.144198\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.6492 | + | 19.3618i | −0.928932 | + | 0.674908i | −0.945731 | − | 0.324950i | \(-0.894652\pi\) |
0.0167992 | + | 0.999859i | \(0.494652\pi\) | |||||||
\(824\) | −2.41895 | −0.0842682 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.1935 | 0.354677 | ||||||||
\(827\) | 24.4141 | − | 17.7379i | 0.848962 | − | 0.616807i | −0.0758980 | − | 0.997116i | \(-0.524182\pi\) |
0.924860 | + | 0.380309i | \(0.124182\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.73188 | + | 20.7186i | −0.233808 | + | 0.719587i | 0.763469 | + | 0.645844i | \(0.223494\pi\) |
−0.997277 | + | 0.0737429i | \(0.976506\pi\) | |||||||
\(830\) | −67.9627 | − | 49.3778i | −2.35902 | − | 1.71393i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −11.7509 | + | 36.1656i | −0.407389 | + | 1.25382i | ||||
\(833\) | −0.471817 | − | 1.45210i | −0.0163475 | − | 0.0503124i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 21.2381 | 0.734976 | ||||||||
\(836\) | 16.7283 | + | 38.0139i | 0.578562 | + | 1.31474i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.67681 | + | 5.57753i | −0.265191 | + | 0.192672i | ||||
\(839\) | 4.17093 | + | 12.8368i | 0.143996 | + | 0.443175i | 0.996881 | − | 0.0789248i | \(-0.0251487\pi\) |
−0.852884 | + | 0.522100i | \(0.825149\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −69.6370 | − | 50.5943i | −2.40128 | − | 1.74463i | ||||
\(842\) | −61.1834 | − | 44.4523i | −2.10852 | − | 1.53193i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.480079 | + | 1.47753i | 0.0165250 | + | 0.0508587i | ||||
\(845\) | 2.99946 | − | 2.17924i | 0.103185 | − | 0.0749681i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.41743 | + | 9.57348i | 0.186145 | + | 0.328949i | ||||
\(848\) | −8.28218 | −0.284411 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −8.99977 | − | 27.6984i | −0.308690 | − | 0.950049i | ||||
\(851\) | 13.9471 | − | 42.9249i | 0.478101 | − | 1.47145i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −18.2167 | − | 13.2352i | −0.623729 | − | 0.453165i | 0.230493 | − | 0.973074i | \(-0.425966\pi\) |
−0.854222 | + | 0.519909i | \(0.825966\pi\) | |||||||
\(854\) | −0.193637 | + | 0.595955i | −0.00662613 | + | 0.0203931i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.61755 | + | 2.62831i | −0.123645 | + | 0.0898336i | ||||
\(857\) | −12.2772 | −0.419383 | −0.209691 | − | 0.977768i | \(-0.567246\pi\) | ||||
−0.209691 | + | 0.977768i | \(0.567246\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −46.4901 | −1.58622 | −0.793110 | − | 0.609078i | \(-0.791540\pi\) | ||||
−0.793110 | + | 0.609078i | \(0.791540\pi\) | |||||||
\(860\) | 1.01375 | − | 0.736533i | 0.0345686 | − | 0.0251156i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.4473 | − | 44.4643i | 0.492078 | − | 1.51446i | ||||
\(863\) | 44.0606 | + | 32.0119i | 1.49984 | + | 1.08970i | 0.970445 | + | 0.241324i | \(0.0775815\pi\) |
0.529396 | + | 0.848375i | \(0.322419\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.5548 | + | 47.8728i | −0.528879 | + | 1.62772i | ||||
\(866\) | 16.5723 | + | 51.0043i | 0.563149 | + | 1.73320i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 19.7232 | 0.669448 | ||||||||
\(869\) | 32.7315 | + | 19.0867i | 1.11034 | + | 0.647470i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.29047 | + | 1.66412i | −0.0776095 | + | 0.0563866i | ||||
\(872\) | 3.10936 | + | 9.56962i | 0.105296 | + | 0.324068i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 42.8174 | + | 31.1087i | 1.44832 | + | 1.05227i | ||||
\(875\) | −12.3369 | − | 8.96329i | −0.417064 | − | 0.303015i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.10275 | − | 28.0154i | −0.307378 | − | 0.946013i | −0.978779 | − | 0.204918i | \(-0.934307\pi\) |
0.671401 | − | 0.741094i | \(-0.265693\pi\) | |||||||
\(878\) | −18.9632 | + | 13.7776i | −0.639977 | + | 0.464971i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −27.5084 | + | 24.5542i | −0.927309 | + | 0.827722i | ||||
\(881\) | 29.9763 | 1.00993 | 0.504964 | − | 0.863141i | \(-0.331506\pi\) | ||||
0.504964 | + | 0.863141i | \(0.331506\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.34912 | + | 28.7736i | 0.314623 | + | 0.968310i | 0.975909 | + | 0.218176i | \(0.0700108\pi\) |
−0.661286 | + | 0.750134i | \(0.729989\pi\) | |||||||
\(884\) | −3.96825 | + | 12.2130i | −0.133467 | + | 0.410769i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 23.5771 | + | 17.1297i | 0.792087 | + | 0.575485i | ||||
\(887\) | −14.6213 | + | 44.9998i | −0.490936 | + | 1.51095i | 0.332259 | + | 0.943188i | \(0.392189\pi\) |
−0.823195 | + | 0.567759i | \(0.807811\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 15.8614 | − | 11.5240i | 0.531974 | − | 0.386502i | ||||
\(890\) | −70.3546 | −2.35829 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −40.5567 | −1.35794 | ||||||||
\(893\) | 11.3979 | − | 8.28105i | 0.381416 | − | 0.277115i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.41379 | + | 13.5842i | −0.147537 | + | 0.454071i | ||||
\(896\) | 5.67910 | + | 4.12610i | 0.189725 | + | 0.137843i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −6.94889 | + | 21.3865i | −0.231887 | + | 0.713676i | ||||
\(899\) | −26.9416 | − | 82.9178i | −0.898554 | − | 2.76546i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.26588 | −0.142117 | ||||||||
\(902\) | −16.1316 | + | 74.3122i | −0.537124 | + | 2.47433i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 11.9323 | − | 8.66935i | 0.396864 | − | 0.288338i | ||||
\(905\) | −11.3446 | − | 34.9149i | −0.377106 | − | 1.16061i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 40.1660 | + | 29.1823i | 1.33369 | + | 0.968982i | 0.999651 | + | 0.0264221i | \(0.00841141\pi\) |
0.334038 | + | 0.942560i | \(0.391589\pi\) | |||||||
\(908\) | 18.3104 | + | 13.3033i | 0.607651 | + | 0.441484i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 8.45100 | + | 26.0095i | 0.280148 | + | 0.862207i | ||||
\(911\) | −17.4325 | + | 12.6655i | −0.577564 | + | 0.419625i | −0.837845 | − | 0.545908i | \(-0.816185\pi\) |
0.260281 | + | 0.965533i | \(0.416185\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.49032 | + | 34.5050i | −0.247893 | + | 1.14195i | ||||
\(914\) | 66.0185 | 2.18370 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 16.0268 | + | 49.3255i | 0.529542 | + | 1.62976i | ||||
\(917\) | 4.13028 | − | 12.7117i | 0.136394 | − | 0.419777i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −35.7654 | − | 25.9851i | −1.17979 | − | 0.857169i | −0.187643 | − | 0.982237i | \(-0.560085\pi\) |
−0.992148 | + | 0.125069i | \(0.960085\pi\) | |||||||
\(920\) | 5.07298 | − | 15.6130i | 0.167251 | − | 0.514746i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 70.1026 | − | 50.9325i | 2.30871 | − | 1.67737i | ||||
\(923\) | −19.8586 | −0.653654 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 83.9371 | 2.75983 | ||||||||
\(926\) | −60.6437 | + | 44.0602i | −1.99287 | + | 1.44791i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 26.6281 | − | 81.9527i | 0.874109 | − | 2.69023i | ||||
\(929\) | 1.38218 | + | 1.00422i | 0.0453480 | + | 0.0329472i | 0.610228 | − | 0.792226i | \(-0.291078\pi\) |
−0.564880 | + | 0.825173i | \(0.691078\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −1.59455 | + | 4.90753i | −0.0522594 | + | 0.160838i | ||||
\(932\) | 12.8358 | + | 39.5045i | 0.420450 | + | 1.29401i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −13.5906 | −0.444698 | ||||||||
\(935\) | −14.1687 | + | 12.6471i | −0.463365 | + | 0.413603i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 26.9982 | − | 19.6153i | 0.881991 | − | 0.640804i | −0.0517861 | − | 0.998658i | \(-0.516491\pi\) |
0.933778 | + | 0.357854i | \(0.116491\pi\) | |||||||
\(938\) | 0.531122 | + | 1.63462i | 0.0173417 | + | 0.0533724i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −20.1039 | − | 14.6063i | −0.655717 | − | 0.476406i | ||||
\(941\) | −17.9708 | − | 13.0566i | −0.585832 | − | 0.425632i | 0.254990 | − | 0.966944i | \(-0.417928\pi\) |
−0.840822 | + | 0.541312i | \(0.817928\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 16.4159 | + | 50.5230i | 0.534576 | + | 1.64525i | ||||
\(944\) | 11.6189 | − | 8.44164i | 0.378164 | − | 0.274752i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.829930 | − | 0.483956i | −0.0269834 | − | 0.0157348i | ||||
\(947\) | −16.6969 | −0.542578 | −0.271289 | − | 0.962498i | \(-0.587450\pi\) | ||||
−0.271289 | + | 0.962498i | \(0.587450\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.65084 | − | 8.15844i | −0.0860498 | − | 0.264834i | ||||
\(950\) | −30.4156 | + | 93.6097i | −0.986813 | + | 3.03710i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.10913 | + | 0.805830i | 0.0359471 | + | 0.0261171i | ||||
\(953\) | 5.89802 | − | 18.1522i | 0.191056 | − | 0.588009i | −0.808944 | − | 0.587885i | \(-0.799961\pi\) |
1.00000 | 0.000123576i | \(-3.93355e-5\pi\) | ||||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 27.2763 | − | 19.8174i | 0.882640 | − | 0.641276i | ||||
\(956\) | −8.17927 | −0.264537 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 14.3136 | 0.462450 | ||||||||
\(959\) | 4.27145 | − | 3.10339i | 0.137932 | − | 0.100214i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.8322 | − | 33.3381i | 0.349426 | − | 1.07542i | ||||
\(962\) | −54.6183 | − | 39.6825i | −1.76096 | − | 1.27942i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.33136 | − | 13.3306i | 0.139504 | − | 0.429348i | ||||
\(965\) | −6.77921 | − | 20.8643i | −0.218230 | − | 0.671644i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 36.9443 | 1.18805 | 0.594024 | − | 0.804447i | \(-0.297538\pi\) | ||||
0.594024 | + | 0.804447i | \(0.297538\pi\) | |||||||
\(968\) | −8.98803 | − | 4.09521i | −0.288886 | − | 0.131625i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −51.6119 | + | 37.4983i | −1.65716 | + | 1.20400i | ||||
\(971\) | 9.67373 | + | 29.7727i | 0.310445 | + | 0.955451i | 0.977589 | + | 0.210522i | \(0.0675165\pi\) |
−0.667144 | + | 0.744929i | \(0.732484\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 17.2933 | + | 12.5643i | 0.554398 | + | 0.402793i | ||||
\(974\) | −45.4892 | − | 33.0499i | −1.45757 | − | 1.05899i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0.272818 | + | 0.839649i | 0.00873271 | + | 0.0268765i | ||||
\(977\) | −36.1962 | + | 26.2981i | −1.15802 | + | 0.841350i | −0.989526 | − | 0.144353i | \(-0.953890\pi\) |
−0.168492 | + | 0.985703i | \(0.553890\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 11.9106 | + | 27.0659i | 0.380664 | + | 0.865029i | ||||
\(980\) | 9.10149 | 0.290737 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.96119 | + | 12.1913i | 0.126407 | + | 0.389040i | ||||
\(983\) | −17.6829 | + | 54.4225i | −0.563998 | + | 1.73581i | 0.106913 | + | 0.994268i | \(0.465903\pi\) |
−0.670910 | + | 0.741538i | \(0.734097\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 18.7985 | + | 13.6579i | 0.598969 | + | 0.435176i | ||||
\(986\) | 10.6490 | − | 32.7743i | 0.339134 | − | 1.04375i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 35.1107 | − | 25.5094i | 1.11702 | − | 0.811564i | ||||
\(989\) | −0.671156 | −0.0213415 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −26.9663 | −0.856614 | −0.428307 | − | 0.903633i | \(-0.640890\pi\) | ||||
−0.428307 | + | 0.903633i | \(0.640890\pi\) | |||||||
\(992\) | 52.8167 | − | 38.3736i | 1.67693 | − | 1.21836i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −3.72543 | + | 11.4657i | −0.118163 | + | 0.363670i | ||||
\(995\) | 57.2352 | + | 41.5838i | 1.81448 | + | 1.31829i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 7.82755 | − | 24.0907i | 0.247901 | − | 0.762961i | −0.747245 | − | 0.664549i | \(-0.768624\pi\) |
0.995146 | − | 0.0984118i | \(-0.0313762\pi\) | |||||||
\(998\) | 0.972341 | + | 2.99256i | 0.0307789 | + | 0.0947278i | ||||
\(999\) | 0 | 0 |
(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 | 693.2.m.k.190.2 | ✓ | 32 | |
3.2 | odd | 2 | inner | 693.2.m.k.190.7 | yes | 32 | |
11.2 | odd | 10 | 7623.2.a.db.1.3 | 16 | |||
11.4 | even | 5 | inner | 693.2.m.k.631.2 | yes | 32 | |
11.9 | even | 5 | 7623.2.a.dc.1.14 | 16 | |||
33.2 | even | 10 | 7623.2.a.db.1.14 | 16 | |||
33.20 | odd | 10 | 7623.2.a.dc.1.3 | 16 | |||
33.26 | odd | 10 | inner | 693.2.m.k.631.7 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
693.2.m.k.190.2 | ✓ | 32 | 1.1 | even | 1 | trivial | |
693.2.m.k.190.7 | yes | 32 | 3.2 | odd | 2 | inner | |
693.2.m.k.631.2 | yes | 32 | 11.4 | even | 5 | inner | |
693.2.m.k.631.7 | yes | 32 | 33.26 | odd | 10 | inner | |
7623.2.a.db.1.3 | 16 | 11.2 | odd | 10 | |||
7623.2.a.db.1.14 | 16 | 33.2 | even | 10 | |||
7623.2.a.dc.1.3 | 16 | 33.20 | odd | 10 | |||
7623.2.a.dc.1.14 | 16 | 11.9 | even | 5 |