Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(362,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.362");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 362.8 | ||
Character | \(\chi\) | \(=\) | 605.362 |
Dual form | 605.2.e.c.483.8 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.503119 | + | 0.503119i | −0.355759 | + | 0.355759i | −0.862247 | − | 0.506488i | \(-0.830943\pi\) |
0.506488 | + | 0.862247i | \(0.330943\pi\) | |||||||
\(3\) | −1.98889 | + | 1.98889i | −1.14828 | + | 1.14828i | −0.161395 | + | 0.986890i | \(0.551599\pi\) |
−0.986890 | + | 0.161395i | \(0.948401\pi\) | |||||||
\(4\) | 1.49374i | 0.746871i | ||||||||
\(5\) | −1.36457 | + | 1.77143i | −0.610253 | + | 0.792207i | ||||
\(6\) | − | 2.00130i | − | 0.817026i | ||||||
\(7\) | 2.43291 | − | 2.43291i | 0.919553 | − | 0.919553i | −0.0774441 | − | 0.996997i | \(-0.524676\pi\) |
0.996997 | + | 0.0774441i | \(0.0246759\pi\) | |||||||
\(8\) | −1.75777 | − | 1.75777i | −0.621465 | − | 0.621465i | ||||
\(9\) | − | 4.91135i | − | 1.63712i | ||||||
\(10\) | −0.204700 | − | 1.57778i | −0.0647319 | − | 0.498938i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | −2.97088 | − | 2.97088i | −0.857620 | − | 0.857620i | ||||
\(13\) | −2.88910 | − | 2.88910i | −0.801294 | − | 0.801294i | 0.182004 | − | 0.983298i | \(-0.441742\pi\) |
−0.983298 | + | 0.182004i | \(0.941742\pi\) | |||||||
\(14\) | 2.44809i | 0.654279i | ||||||||
\(15\) | −0.809203 | − | 6.23714i | −0.208935 | − | 1.61042i | ||||
\(16\) | −1.21875 | −0.304687 | ||||||||
\(17\) | 0.334956 | − | 0.334956i | 0.0812389 | − | 0.0812389i | −0.665320 | − | 0.746559i | \(-0.731705\pi\) |
0.746559 | + | 0.665320i | \(0.231705\pi\) | |||||||
\(18\) | 2.47099 | + | 2.47099i | 0.582419 | + | 0.582419i | ||||
\(19\) | −4.06565 | −0.932724 | −0.466362 | − | 0.884594i | \(-0.654436\pi\) | ||||
−0.466362 | + | 0.884594i | \(0.654436\pi\) | |||||||
\(20\) | −2.64606 | − | 2.03831i | −0.591676 | − | 0.455780i | ||||
\(21\) | 9.67756i | 2.11182i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.771754 | − | 0.771754i | 0.160922 | − | 0.160922i | −0.622053 | − | 0.782975i | \(-0.713701\pi\) |
0.782975 | + | 0.622053i | \(0.213701\pi\) | |||||||
\(24\) | 6.99201 | 1.42724 | ||||||||
\(25\) | −1.27592 | − | 4.83446i | −0.255184 | − | 0.966893i | ||||
\(26\) | 2.90713 | 0.570135 | ||||||||
\(27\) | 3.80145 | + | 3.80145i | 0.731590 | + | 0.731590i | ||||
\(28\) | 3.63414 | + | 3.63414i | 0.686787 | + | 0.686787i | ||||
\(29\) | 2.39345 | 0.444453 | 0.222226 | − | 0.974995i | \(-0.428668\pi\) | ||||
0.222226 | + | 0.974995i | \(0.428668\pi\) | |||||||
\(30\) | 3.54515 | + | 2.73090i | 0.647253 | + | 0.498592i | ||||
\(31\) | 3.82833 | 0.687589 | 0.343795 | − | 0.939045i | \(-0.388288\pi\) | ||||
0.343795 | + | 0.939045i | \(0.388288\pi\) | |||||||
\(32\) | 4.12871 | − | 4.12871i | 0.729860 | − | 0.729860i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.337046i | 0.0578030i | ||||||||
\(35\) | 0.989858 | + | 7.62959i | 0.167317 | + | 1.28964i | ||||
\(36\) | 7.33628 | 1.22271 | ||||||||
\(37\) | −3.60132 | − | 3.60132i | −0.592054 | − | 0.592054i | 0.346132 | − | 0.938186i | \(-0.387495\pi\) |
−0.938186 | + | 0.346132i | \(0.887495\pi\) | |||||||
\(38\) | 2.04551 | − | 2.04551i | 0.331825 | − | 0.331825i | ||||
\(39\) | 11.4922 | 1.84023 | ||||||||
\(40\) | 5.51236 | − | 0.715170i | 0.871580 | − | 0.113078i | ||||
\(41\) | 8.48673i | 1.32540i | 0.748883 | + | 0.662702i | \(0.230590\pi\) | ||||
−0.748883 | + | 0.662702i | \(0.769410\pi\) | |||||||
\(42\) | −4.86897 | − | 4.86897i | −0.751298 | − | 0.751298i | ||||
\(43\) | −7.82382 | − | 7.82382i | −1.19312 | − | 1.19312i | −0.976186 | − | 0.216935i | \(-0.930394\pi\) |
−0.216935 | − | 0.976186i | \(-0.569606\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 8.70010 | + | 6.70186i | 1.29693 | + | 0.999054i | ||||
\(46\) | 0.776569i | 0.114499i | ||||||||
\(47\) | 2.80844 | + | 2.80844i | 0.409653 | + | 0.409653i | 0.881618 | − | 0.471964i | \(-0.156455\pi\) |
−0.471964 | + | 0.881618i | \(0.656455\pi\) | |||||||
\(48\) | 2.42395 | − | 2.42395i | 0.349867 | − | 0.349867i | ||||
\(49\) | − | 4.83808i | − | 0.691154i | ||||||
\(50\) | 3.07425 | + | 1.79037i | 0.434765 | + | 0.253197i | ||||
\(51\) | 1.33238i | 0.186571i | ||||||||
\(52\) | 4.31558 | − | 4.31558i | 0.598463 | − | 0.598463i | ||||
\(53\) | −3.61137 | + | 3.61137i | −0.496059 | + | 0.496059i | −0.910209 | − | 0.414150i | \(-0.864079\pi\) |
0.414150 | + | 0.910209i | \(0.364079\pi\) | |||||||
\(54\) | −3.82517 | −0.520539 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −8.55298 | −1.14294 | ||||||||
\(57\) | 8.08612 | − | 8.08612i | 1.07103 | − | 1.07103i | ||||
\(58\) | −1.20419 | + | 1.20419i | −0.158118 | + | 0.158118i | ||||
\(59\) | 7.63165i | 0.993557i | 0.867877 | + | 0.496778i | \(0.165484\pi\) | ||||
−0.867877 | + | 0.496778i | \(0.834516\pi\) | |||||||
\(60\) | 9.31668 | − | 1.20874i | 1.20278 | − | 0.156048i | ||||
\(61\) | − | 3.34380i | − | 0.428130i | −0.976819 | − | 0.214065i | \(-0.931330\pi\) | ||
0.976819 | − | 0.214065i | \(-0.0686705\pi\) | |||||||
\(62\) | −1.92611 | + | 1.92611i | −0.244616 | + | 0.244616i | ||||
\(63\) | −11.9489 | − | 11.9489i | −1.50541 | − | 1.50541i | ||||
\(64\) | 1.71698i | 0.214622i | ||||||||
\(65\) | 9.06022 | − | 1.17547i | 1.12378 | − | 0.145799i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.52319 | − | 1.52319i | −0.186087 | − | 0.186087i | 0.607915 | − | 0.794002i | \(-0.292006\pi\) |
−0.794002 | + | 0.607915i | \(0.792006\pi\) | |||||||
\(68\) | 0.500338 | + | 0.500338i | 0.0606750 | + | 0.0606750i | ||||
\(69\) | 3.06986i | 0.369568i | ||||||||
\(70\) | −4.33661 | − | 3.34058i | −0.518324 | − | 0.399275i | ||||
\(71\) | −10.8467 | −1.28726 | −0.643631 | − | 0.765336i | \(-0.722573\pi\) | ||||
−0.643631 | + | 0.765336i | \(0.722573\pi\) | |||||||
\(72\) | −8.63301 | + | 8.63301i | −1.01741 | + | 1.01741i | ||||
\(73\) | −3.02758 | − | 3.02758i | −0.354351 | − | 0.354351i | 0.507375 | − | 0.861726i | \(-0.330616\pi\) |
−0.861726 | + | 0.507375i | \(0.830616\pi\) | |||||||
\(74\) | 3.62379 | 0.421257 | ||||||||
\(75\) | 12.1529 | + | 7.07755i | 1.40329 | + | 0.817245i | ||||
\(76\) | − | 6.07303i | − | 0.696624i | ||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −5.78195 | + | 5.78195i | −0.654677 | + | 0.654677i | ||||
\(79\) | −6.48154 | −0.729230 | −0.364615 | − | 0.931158i | \(-0.618799\pi\) | ||||
−0.364615 | + | 0.931158i | \(0.618799\pi\) | |||||||
\(80\) | 1.66306 | − | 2.15892i | 0.185936 | − | 0.241375i | ||||
\(81\) | −0.387281 | −0.0430312 | ||||||||
\(82\) | −4.26984 | − | 4.26984i | −0.471525 | − | 0.471525i | ||||
\(83\) | −7.68119 | − | 7.68119i | −0.843120 | − | 0.843120i | 0.146143 | − | 0.989263i | \(-0.453314\pi\) |
−0.989263 | + | 0.146143i | \(0.953314\pi\) | |||||||
\(84\) | −14.4558 | −1.57725 | ||||||||
\(85\) | 0.136281 | + | 1.05042i | 0.0147818 | + | 0.113934i | ||||
\(86\) | 7.87263 | 0.848927 | ||||||||
\(87\) | −4.76031 | + | 4.76031i | −0.510358 | + | 0.510358i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 14.3621i | − | 1.52238i | −0.648532 | − | 0.761188i | \(-0.724617\pi\) | ||
0.648532 | − | 0.761188i | \(-0.275383\pi\) | |||||||
\(90\) | −7.74902 | + | 1.00535i | −0.816819 | + | 0.105974i | ||||
\(91\) | −14.0579 | −1.47366 | ||||||||
\(92\) | 1.15280 | + | 1.15280i | 0.120188 | + | 0.120188i | ||||
\(93\) | −7.61412 | + | 7.61412i | −0.789548 | + | 0.789548i | ||||
\(94\) | −2.82596 | −0.291476 | ||||||||
\(95\) | 5.54785 | − | 7.20201i | 0.569197 | − | 0.738910i | ||||
\(96\) | 16.4231i | 1.67618i | ||||||||
\(97\) | −0.0994772 | − | 0.0994772i | −0.0101004 | − | 0.0101004i | 0.702039 | − | 0.712139i | \(-0.252273\pi\) |
−0.712139 | + | 0.702039i | \(0.752273\pi\) | |||||||
\(98\) | 2.43413 | + | 2.43413i | 0.245884 | + | 0.245884i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.22144 | − | 1.90589i | 0.722144 | − | 0.190589i | ||||
\(101\) | − | 0.0797258i | − | 0.00793301i | −0.999992 | − | 0.00396651i | \(-0.998737\pi\) | ||
0.999992 | − | 0.00396651i | \(-0.00126258\pi\) | |||||||
\(102\) | −0.670347 | − | 0.670347i | −0.0663742 | − | 0.0663742i | ||||
\(103\) | −3.74170 | + | 3.74170i | −0.368680 | + | 0.368680i | −0.866996 | − | 0.498315i | \(-0.833952\pi\) |
0.498315 | + | 0.866996i | \(0.333952\pi\) | |||||||
\(104\) | 10.1568i | 0.995952i | ||||||||
\(105\) | −17.1431 | − | 13.2057i | −1.67300 | − | 1.28874i | ||||
\(106\) | − | 3.63390i | − | 0.352955i | ||||||
\(107\) | 3.66752 | − | 3.66752i | 0.354552 | − | 0.354552i | −0.507248 | − | 0.861800i | \(-0.669337\pi\) |
0.861800 | + | 0.507248i | \(0.169337\pi\) | |||||||
\(108\) | −5.67839 | + | 5.67839i | −0.546403 | + | 0.546403i | ||||
\(109\) | 18.0760 | 1.73137 | 0.865686 | − | 0.500588i | \(-0.166883\pi\) | ||||
0.865686 | + | 0.500588i | \(0.166883\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 14.3253 | 1.35969 | ||||||||
\(112\) | −2.96510 | + | 2.96510i | −0.280176 | + | 0.280176i | ||||
\(113\) | 7.51745 | − | 7.51745i | 0.707182 | − | 0.707182i | −0.258760 | − | 0.965942i | \(-0.583314\pi\) |
0.965942 | + | 0.258760i | \(0.0833137\pi\) | |||||||
\(114\) | 8.13657i | 0.762059i | ||||||||
\(115\) | 0.313997 | + | 2.42022i | 0.0292804 | + | 0.225686i | ||||
\(116\) | 3.57520i | 0.331949i | ||||||||
\(117\) | −14.1894 | + | 14.1894i | −1.31181 | + | 1.31181i | ||||
\(118\) | −3.83963 | − | 3.83963i | −0.353467 | − | 0.353467i | ||||
\(119\) | − | 1.62984i | − | 0.149407i | ||||||
\(120\) | −9.54106 | + | 12.3858i | −0.870976 | + | 1.13067i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 1.68233 | + | 1.68233i | 0.152311 | + | 0.152311i | ||||
\(123\) | −16.8791 | − | 16.8791i | −1.52194 | − | 1.52194i | ||||
\(124\) | 5.71854i | 0.513540i | ||||||||
\(125\) | 10.3050 | + | 4.33675i | 0.921705 | + | 0.387891i | ||||
\(126\) | 12.0234 | 1.07113 | ||||||||
\(127\) | 2.22210 | − | 2.22210i | 0.197179 | − | 0.197179i | −0.601610 | − | 0.798790i | \(-0.705474\pi\) |
0.798790 | + | 0.601610i | \(0.205474\pi\) | |||||||
\(128\) | 7.39358 | + | 7.39358i | 0.653507 | + | 0.653507i | ||||
\(129\) | 31.1214 | 2.74008 | ||||||||
\(130\) | −3.96697 | + | 5.14977i | −0.347926 | + | 0.451665i | ||||
\(131\) | 7.60121i | 0.664120i | 0.943258 | + | 0.332060i | \(0.107744\pi\) | ||||
−0.943258 | + | 0.332060i | \(0.892256\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.89135 | + | 9.89135i | −0.857689 | + | 0.857689i | ||||
\(134\) | 1.53269 | 0.132404 | ||||||||
\(135\) | −11.9213 | + | 1.54667i | −1.02602 | + | 0.133116i | ||||
\(136\) | −1.17755 | −0.100974 | ||||||||
\(137\) | −10.9148 | − | 10.9148i | −0.932516 | − | 0.932516i | 0.0653470 | − | 0.997863i | \(-0.479185\pi\) |
−0.997863 | + | 0.0653470i | \(0.979185\pi\) | |||||||
\(138\) | −1.54451 | − | 1.54451i | −0.131477 | − | 0.131477i | ||||
\(139\) | −11.2280 | −0.952350 | −0.476175 | − | 0.879351i | \(-0.657977\pi\) | ||||
−0.476175 | + | 0.879351i | \(0.657977\pi\) | |||||||
\(140\) | −11.3966 | + | 1.47859i | −0.963191 | + | 0.124964i | ||||
\(141\) | −11.1714 | −0.940797 | ||||||||
\(142\) | 5.45716 | − | 5.45716i | 0.457955 | − | 0.457955i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 5.98569i | 0.498808i | ||||||||
\(145\) | −3.26602 | + | 4.23983i | −0.271228 | + | 0.352099i | ||||
\(146\) | 3.04646 | 0.252127 | ||||||||
\(147\) | 9.62239 | + | 9.62239i | 0.793642 | + | 0.793642i | ||||
\(148\) | 5.37945 | − | 5.37945i | 0.442188 | − | 0.442188i | ||||
\(149\) | −15.6857 | −1.28502 | −0.642512 | − | 0.766276i | \(-0.722108\pi\) | ||||
−0.642512 | + | 0.766276i | \(0.722108\pi\) | |||||||
\(150\) | −9.67519 | + | 2.55349i | −0.789976 | + | 0.208491i | ||||
\(151\) | − | 23.5811i | − | 1.91900i | −0.281706 | − | 0.959501i | \(-0.590900\pi\) | ||
0.281706 | − | 0.959501i | \(-0.409100\pi\) | |||||||
\(152\) | 7.14647 | + | 7.14647i | 0.579656 | + | 0.579656i | ||||
\(153\) | −1.64509 | − | 1.64509i | −0.132997 | − | 0.132997i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −5.22402 | + | 6.78162i | −0.419603 | + | 0.544713i | ||||
\(156\) | 17.1664i | 1.37441i | ||||||||
\(157\) | −6.24987 | − | 6.24987i | −0.498794 | − | 0.498794i | 0.412268 | − | 0.911062i | \(-0.364737\pi\) |
−0.911062 | + | 0.412268i | \(0.864737\pi\) | |||||||
\(158\) | 3.26099 | − | 3.26099i | 0.259430 | − | 0.259430i | ||||
\(159\) | − | 14.3652i | − | 1.13923i | ||||||
\(160\) | 1.67982 | + | 12.9476i | 0.132801 | + | 1.02360i | ||||
\(161\) | − | 3.75521i | − | 0.295952i | ||||||
\(162\) | 0.194848 | − | 0.194848i | 0.0153087 | − | 0.0153087i | ||||
\(163\) | −11.5177 | + | 11.5177i | −0.902139 | + | 0.902139i | −0.995621 | − | 0.0934823i | \(-0.970200\pi\) |
0.0934823 | + | 0.995621i | \(0.470200\pi\) | |||||||
\(164\) | −12.6770 | −0.989905 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 7.72912 | 0.599896 | ||||||||
\(167\) | 8.38275 | − | 8.38275i | 0.648677 | − | 0.648677i | −0.303996 | − | 0.952673i | \(-0.598321\pi\) |
0.952673 | + | 0.303996i | \(0.0983211\pi\) | |||||||
\(168\) | 17.0109 | − | 17.0109i | 1.31242 | − | 1.31242i | ||||
\(169\) | 3.69385i | 0.284143i | ||||||||
\(170\) | −0.597053 | − | 0.459922i | −0.0457919 | − | 0.0352744i | ||||
\(171\) | 19.9678i | 1.52698i | ||||||||
\(172\) | 11.6868 | − | 11.6868i | 0.891107 | − | 0.891107i | ||||
\(173\) | 9.06040 | + | 9.06040i | 0.688849 | + | 0.688849i | 0.961978 | − | 0.273128i | \(-0.0880583\pi\) |
−0.273128 | + | 0.961978i | \(0.588058\pi\) | |||||||
\(174\) | − | 4.79000i | − | 0.363129i | ||||||
\(175\) | −14.8660 | − | 8.65761i | −1.12376 | − | 0.654454i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −15.1785 | − | 15.1785i | −1.14089 | − | 1.14089i | ||||
\(178\) | 7.22583 | + | 7.22583i | 0.541599 | + | 0.541599i | ||||
\(179\) | − | 11.3921i | − | 0.851488i | −0.904844 | − | 0.425744i | \(-0.860012\pi\) | ||
0.904844 | − | 0.425744i | \(-0.139988\pi\) | |||||||
\(180\) | −10.0108 | + | 12.9957i | −0.746164 | + | 0.968642i | ||||
\(181\) | 22.9507 | 1.70591 | 0.852956 | − | 0.521982i | \(-0.174807\pi\) | ||||
0.852956 | + | 0.521982i | \(0.174807\pi\) | |||||||
\(182\) | 7.07278 | − | 7.07278i | 0.524269 | − | 0.524269i | ||||
\(183\) | 6.65045 | + | 6.65045i | 0.491615 | + | 0.491615i | ||||
\(184\) | −2.71313 | −0.200015 | ||||||||
\(185\) | 11.2937 | − | 1.46524i | 0.830332 | − | 0.107727i | ||||
\(186\) | − | 7.66163i | − | 0.561778i | ||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | −4.19509 | + | 4.19509i | −0.305958 | + | 0.305958i | ||||
\(189\) | 18.4972 | 1.34547 | ||||||||
\(190\) | 0.832240 | + | 6.41470i | 0.0603770 | + | 0.465371i | ||||
\(191\) | −26.9325 | −1.94877 | −0.974383 | − | 0.224894i | \(-0.927797\pi\) | ||||
−0.974383 | + | 0.224894i | \(0.927797\pi\) | |||||||
\(192\) | −3.41488 | − | 3.41488i | −0.246447 | − | 0.246447i | ||||
\(193\) | 8.17685 | + | 8.17685i | 0.588582 | + | 0.588582i | 0.937247 | − | 0.348665i | \(-0.113365\pi\) |
−0.348665 | + | 0.937247i | \(0.613365\pi\) | |||||||
\(194\) | 0.100098 | 0.00718660 | ||||||||
\(195\) | −15.6819 | + | 20.3576i | −1.12300 | + | 1.45784i | ||||
\(196\) | 7.22684 | 0.516203 | ||||||||
\(197\) | −12.3434 | + | 12.3434i | −0.879430 | + | 0.879430i | −0.993476 | − | 0.114045i | \(-0.963619\pi\) |
0.114045 | + | 0.993476i | \(0.463619\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 0.739593i | − | 0.0524284i | −0.999656 | − | 0.0262142i | \(-0.991655\pi\) | ||
0.999656 | − | 0.0262142i | \(-0.00834519\pi\) | |||||||
\(200\) | −6.25510 | + | 10.7406i | −0.442302 | + | 0.759478i | ||||
\(201\) | 6.05889 | 0.427361 | ||||||||
\(202\) | 0.0401116 | + | 0.0401116i | 0.00282224 | + | 0.00282224i | ||||
\(203\) | 5.82305 | − | 5.82305i | 0.408698 | − | 0.408698i | ||||
\(204\) | −1.99023 | −0.139344 | ||||||||
\(205\) | −15.0336 | − | 11.5807i | −1.04999 | − | 0.808831i | ||||
\(206\) | − | 3.76504i | − | 0.262323i | ||||||
\(207\) | −3.79035 | − | 3.79035i | −0.263448 | − | 0.263448i | ||||
\(208\) | 3.52109 | + | 3.52109i | 0.244144 | + | 0.244144i | ||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 15.2691 | − | 1.98100i | 1.05367 | − | 0.136702i | ||||
\(211\) | − | 1.25606i | − | 0.0864705i | −0.999065 | − | 0.0432352i | \(-0.986234\pi\) | ||
0.999065 | − | 0.0432352i | \(-0.0137665\pi\) | |||||||
\(212\) | −5.39445 | − | 5.39445i | −0.370492 | − | 0.370492i | ||||
\(213\) | 21.5728 | − | 21.5728i | 1.47814 | − | 1.47814i | ||||
\(214\) | 3.69040i | 0.252270i | ||||||||
\(215\) | 24.5354 | − | 3.18321i | 1.67330 | − | 0.217093i | ||||
\(216\) | − | 13.3642i | − | 0.909315i | ||||||
\(217\) | 9.31398 | − | 9.31398i | 0.632274 | − | 0.632274i | ||||
\(218\) | −9.09441 | + | 9.09441i | −0.615951 | + | 0.615951i | ||||
\(219\) | 12.0430 | 0.813791 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.93545 | −0.130192 | ||||||||
\(222\) | −7.20731 | + | 7.20731i | −0.483723 | + | 0.483723i | ||||
\(223\) | −11.5866 | + | 11.5866i | −0.775899 | + | 0.775899i | −0.979131 | − | 0.203231i | \(-0.934856\pi\) |
0.203231 | + | 0.979131i | \(0.434856\pi\) | |||||||
\(224\) | − | 20.0896i | − | 1.34229i | ||||||
\(225\) | −23.7437 | + | 6.26647i | −1.58291 | + | 0.417765i | ||||
\(226\) | 7.56435i | 0.503173i | ||||||||
\(227\) | −9.88513 | + | 9.88513i | −0.656099 | + | 0.656099i | −0.954455 | − | 0.298356i | \(-0.903562\pi\) |
0.298356 | + | 0.954455i | \(0.403562\pi\) | |||||||
\(228\) | 12.0786 | + | 12.0786i | 0.799923 | + | 0.799923i | ||||
\(229\) | − | 9.48652i | − | 0.626887i | −0.949607 | − | 0.313444i | \(-0.898517\pi\) | ||
0.949607 | − | 0.313444i | \(-0.101483\pi\) | |||||||
\(230\) | −1.37564 | − | 1.05968i | −0.0907068 | − | 0.0698732i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.20714 | − | 4.20714i | −0.276212 | − | 0.276212i | ||||
\(233\) | 0.392688 | + | 0.392688i | 0.0257258 | + | 0.0257258i | 0.719853 | − | 0.694127i | \(-0.244209\pi\) |
−0.694127 | + | 0.719853i | \(0.744209\pi\) | |||||||
\(234\) | − | 14.2779i | − | 0.933377i | ||||||
\(235\) | −8.80726 | + | 1.14265i | −0.574522 | + | 0.0745382i | ||||
\(236\) | −11.3997 | −0.742059 | ||||||||
\(237\) | 12.8911 | − | 12.8911i | 0.837364 | − | 0.837364i | ||||
\(238\) | 0.820002 | + | 0.820002i | 0.0531529 | + | 0.0531529i | ||||
\(239\) | −10.0508 | −0.650129 | −0.325065 | − | 0.945692i | \(-0.605386\pi\) | ||||
−0.325065 | + | 0.945692i | \(0.605386\pi\) | |||||||
\(240\) | 0.986214 | + | 7.60150i | 0.0636599 | + | 0.490675i | ||||
\(241\) | − | 24.0480i | − | 1.54906i | −0.632534 | − | 0.774532i | \(-0.717985\pi\) | ||
0.632534 | − | 0.774532i | \(-0.282015\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −10.6341 | + | 10.6341i | −0.682178 | + | 0.682178i | ||||
\(244\) | 4.99478 | 0.319758 | ||||||||
\(245\) | 8.57031 | + | 6.60188i | 0.547537 | + | 0.421779i | ||||
\(246\) | 16.9844 | 1.08289 | ||||||||
\(247\) | 11.7461 | + | 11.7461i | 0.747386 | + | 0.747386i | ||||
\(248\) | −6.72933 | − | 6.72933i | −0.427313 | − | 0.427313i | ||||
\(249\) | 30.5541 | 1.93628 | ||||||||
\(250\) | −7.36654 | + | 3.00273i | −0.465901 | + | 0.189910i | ||||
\(251\) | −1.76457 | −0.111379 | −0.0556894 | − | 0.998448i | \(-0.517736\pi\) | ||||
−0.0556894 | + | 0.998448i | \(0.517736\pi\) | |||||||
\(252\) | 17.8485 | − | 17.8485i | 1.12435 | − | 1.12435i | ||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 2.23596i | 0.140297i | ||||||||
\(255\) | −2.36022 | − | 1.81812i | −0.147803 | − | 0.113855i | ||||
\(256\) | −10.8737 | −0.679604 | ||||||||
\(257\) | 19.8363 | + | 19.8363i | 1.23735 | + | 1.23735i | 0.961078 | + | 0.276276i | \(0.0891004\pi\) |
0.276276 | + | 0.961078i | \(0.410900\pi\) | |||||||
\(258\) | −15.6578 | + | 15.6578i | −0.974810 | + | 0.974810i | ||||
\(259\) | −17.5234 | −1.08885 | ||||||||
\(260\) | 1.75584 | + | 13.5336i | 0.108893 | + | 0.839320i | ||||
\(261\) | − | 11.7551i | − | 0.727620i | ||||||
\(262\) | −3.82431 | − | 3.82431i | −0.236267 | − | 0.236267i | ||||
\(263\) | 2.00212 | + | 2.00212i | 0.123456 | + | 0.123456i | 0.766135 | − | 0.642679i | \(-0.222177\pi\) |
−0.642679 | + | 0.766135i | \(0.722177\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.46933 | − | 11.3252i | −0.0902601 | − | 0.695703i | ||||
\(266\) | − | 9.95306i | − | 0.610261i | ||||||
\(267\) | 28.5645 | + | 28.5645i | 1.74812 | + | 1.74812i | ||||
\(268\) | 2.27525 | − | 2.27525i | 0.138983 | − | 0.138983i | ||||
\(269\) | 7.76303i | 0.473321i | 0.971592 | + | 0.236660i | \(0.0760528\pi\) | ||||
−0.971592 | + | 0.236660i | \(0.923947\pi\) | |||||||
\(270\) | 5.21970 | − | 6.77601i | 0.317661 | − | 0.412375i | ||||
\(271\) | 10.8971i | 0.661953i | 0.943639 | + | 0.330976i | \(0.107378\pi\) | ||||
−0.943639 | + | 0.330976i | \(0.892622\pi\) | |||||||
\(272\) | −0.408227 | + | 0.408227i | −0.0247524 | + | 0.0247524i | ||||
\(273\) | 27.9595 | − | 27.9595i | 1.69218 | − | 1.69218i | ||||
\(274\) | 10.9829 | 0.663502 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −4.58558 | −0.276020 | ||||||||
\(277\) | 16.3370 | − | 16.3370i | 0.981596 | − | 0.981596i | −0.0182379 | − | 0.999834i | \(-0.505806\pi\) |
0.999834 | + | 0.0182379i | \(0.00580562\pi\) | |||||||
\(278\) | 5.64904 | − | 5.64904i | 0.338807 | − | 0.338807i | ||||
\(279\) | − | 18.8023i | − | 1.12566i | ||||||
\(280\) | 11.6711 | − | 15.1510i | 0.697482 | − | 0.905445i | ||||
\(281\) | − | 26.2130i | − | 1.56374i | −0.623442 | − | 0.781870i | \(-0.714266\pi\) | ||
0.623442 | − | 0.781870i | \(-0.285734\pi\) | |||||||
\(282\) | 5.62052 | − | 5.62052i | 0.334697 | − | 0.334697i | ||||
\(283\) | −10.3957 | − | 10.3957i | −0.617959 | − | 0.617959i | 0.327049 | − | 0.945008i | \(-0.393946\pi\) |
−0.945008 | + | 0.327049i | \(0.893946\pi\) | |||||||
\(284\) | − | 16.2021i | − | 0.961418i | ||||||
\(285\) | 3.28994 | + | 25.3580i | 0.194879 | + | 1.50208i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 20.6474 | + | 20.6474i | 1.21878 | + | 1.21878i | ||||
\(288\) | −20.2775 | − | 20.2775i | −1.19487 | − | 1.19487i | ||||
\(289\) | 16.7756i | 0.986800i | ||||||||
\(290\) | −0.489940 | − | 3.77634i | −0.0287703 | − | 0.221754i | ||||
\(291\) | 0.395698 | 0.0231962 | ||||||||
\(292\) | 4.52242 | − | 4.52242i | 0.264654 | − | 0.264654i | ||||
\(293\) | 4.74424 | + | 4.74424i | 0.277161 | + | 0.277161i | 0.831975 | − | 0.554814i | \(-0.187210\pi\) |
−0.554814 | + | 0.831975i | \(0.687210\pi\) | |||||||
\(294\) | −9.68243 | −0.564691 | ||||||||
\(295\) | −13.5189 | − | 10.4139i | −0.787102 | − | 0.606321i | ||||
\(296\) | 12.6606i | 0.735882i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 7.89179 | − | 7.89179i | 0.457159 | − | 0.457159i | ||||
\(299\) | −4.45936 | −0.257891 | ||||||||
\(300\) | −10.5720 | + | 18.1532i | −0.610376 | + | 1.04808i | ||||
\(301\) | −38.0692 | −2.19427 | ||||||||
\(302\) | 11.8641 | + | 11.8641i | 0.682702 | + | 0.682702i | ||||
\(303\) | 0.158566 | + | 0.158566i | 0.00910936 | + | 0.00910936i | ||||
\(304\) | 4.95500 | 0.284189 | ||||||||
\(305\) | 5.92331 | + | 4.56284i | 0.339168 | + | 0.261268i | ||||
\(306\) | 1.65535 | 0.0946301 | ||||||||
\(307\) | −12.1734 | + | 12.1734i | −0.694775 | + | 0.694775i | −0.963279 | − | 0.268503i | \(-0.913471\pi\) |
0.268503 | + | 0.963279i | \(0.413471\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | − | 14.8836i | − | 0.846700i | ||||||
\(310\) | −0.783661 | − | 6.04027i | −0.0445090 | − | 0.343064i | ||||
\(311\) | −15.6822 | −0.889254 | −0.444627 | − | 0.895716i | \(-0.646664\pi\) | ||||
−0.444627 | + | 0.895716i | \(0.646664\pi\) | |||||||
\(312\) | −20.2007 | − | 20.2007i | −1.14364 | − | 1.14364i | ||||
\(313\) | −8.73934 | + | 8.73934i | −0.493977 | + | 0.493977i | −0.909557 | − | 0.415580i | \(-0.863579\pi\) |
0.415580 | + | 0.909557i | \(0.363579\pi\) | |||||||
\(314\) | 6.28887 | 0.354901 | ||||||||
\(315\) | 37.4715 | − | 4.86154i | 2.11128 | − | 0.273917i | ||||
\(316\) | − | 9.68175i | − | 0.544641i | ||||||
\(317\) | −5.15371 | − | 5.15371i | −0.289461 | − | 0.289461i | 0.547406 | − | 0.836867i | \(-0.315615\pi\) |
−0.836867 | + | 0.547406i | \(0.815615\pi\) | |||||||
\(318\) | 7.22741 | + | 7.22741i | 0.405293 | + | 0.405293i | ||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −3.04150 | − | 2.34293i | −0.170025 | − | 0.130974i | ||||
\(321\) | 14.5886i | 0.814254i | ||||||||
\(322\) | 1.88932 | + | 1.88932i | 0.105288 | + | 0.105288i | ||||
\(323\) | −1.36182 | + | 1.36182i | −0.0757734 | + | 0.0757734i | ||||
\(324\) | − | 0.578497i | − | 0.0321387i | ||||||
\(325\) | −10.2810 | + | 17.6535i | −0.570288 | + | 0.979242i | ||||
\(326\) | − | 11.5896i | − | 0.641888i | ||||||
\(327\) | −35.9512 | + | 35.9512i | −1.98811 | + | 1.98811i | ||||
\(328\) | 14.9177 | − | 14.9177i | 0.823693 | − | 0.823693i | ||||
\(329\) | 13.6654 | 0.753396 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.2490 | 1.49774 | 0.748871 | − | 0.662716i | \(-0.230596\pi\) | ||||
0.748871 | + | 0.662716i | \(0.230596\pi\) | |||||||
\(332\) | 11.4737 | − | 11.4737i | 0.629702 | − | 0.629702i | ||||
\(333\) | −17.6873 | + | 17.6873i | −0.969261 | + | 0.969261i | ||||
\(334\) | 8.43505i | 0.461545i | ||||||||
\(335\) | 4.77671 | − | 0.619727i | 0.260979 | − | 0.0338593i | ||||
\(336\) | − | 11.7945i | − | 0.643443i | ||||||
\(337\) | 1.56864 | − | 1.56864i | 0.0854492 | − | 0.0854492i | −0.663090 | − | 0.748539i | \(-0.730755\pi\) |
0.748539 | + | 0.663090i | \(0.230755\pi\) | |||||||
\(338\) | −1.85845 | − | 1.85845i | −0.101086 | − | 0.101086i | ||||
\(339\) | 29.9027i | 1.62409i | ||||||||
\(340\) | −1.56906 | + | 0.203569i | −0.0850942 | + | 0.0110401i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −10.0462 | − | 10.0462i | −0.543236 | − | 0.543236i | ||||
\(343\) | 5.25976 | + | 5.25976i | 0.284000 | + | 0.284000i | ||||
\(344\) | 27.5049i | 1.48297i | ||||||||
\(345\) | −5.43804 | − | 4.18903i | −0.292774 | − | 0.225530i | ||||
\(346\) | −9.11693 | −0.490129 | ||||||||
\(347\) | −14.2401 | + | 14.2401i | −0.764448 | + | 0.764448i | −0.977123 | − | 0.212675i | \(-0.931782\pi\) |
0.212675 | + | 0.977123i | \(0.431782\pi\) | |||||||
\(348\) | −7.11067 | − | 7.11067i | −0.381172 | − | 0.381172i | ||||
\(349\) | 6.67832 | 0.357482 | 0.178741 | − | 0.983896i | \(-0.442798\pi\) | ||||
0.178741 | + | 0.983896i | \(0.442798\pi\) | |||||||
\(350\) | 11.8352 | − | 3.12356i | 0.632617 | − | 0.166961i | ||||
\(351\) | − | 21.9656i | − | 1.17244i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.96284 | − | 7.96284i | 0.423819 | − | 0.423819i | −0.462697 | − | 0.886516i | \(-0.653118\pi\) |
0.886516 | + | 0.462697i | \(0.153118\pi\) | |||||||
\(354\) | 15.2732 | 0.811761 | ||||||||
\(355\) | 14.8010 | − | 19.2141i | 0.785555 | − | 1.01978i | ||||
\(356\) | 21.4532 | 1.13702 | ||||||||
\(357\) | 3.24156 | + | 3.24156i | 0.171562 | + | 0.171562i | ||||
\(358\) | 5.73160 | + | 5.73160i | 0.302925 | + | 0.302925i | ||||
\(359\) | −0.495594 | −0.0261564 | −0.0130782 | − | 0.999914i | \(-0.504163\pi\) | ||||
−0.0130782 | + | 0.999914i | \(0.504163\pi\) | |||||||
\(360\) | −3.51245 | − | 27.0731i | −0.185122 | − | 1.42688i | ||||
\(361\) | −2.47050 | −0.130026 | ||||||||
\(362\) | −11.5469 | + | 11.5469i | −0.606894 | + | 0.606894i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | − | 20.9988i | − | 1.10064i | ||||||
\(365\) | 9.49446 | − | 1.23181i | 0.496963 | − | 0.0644757i | ||||
\(366\) | −6.69194 | −0.349793 | ||||||||
\(367\) | −8.97027 | − | 8.97027i | −0.468244 | − | 0.468244i | 0.433101 | − | 0.901345i | \(-0.357419\pi\) |
−0.901345 | + | 0.433101i | \(0.857419\pi\) | |||||||
\(368\) | −0.940573 | + | 0.940573i | −0.0490308 | + | 0.0490308i | ||||
\(369\) | 41.6812 | 2.16984 | ||||||||
\(370\) | −4.94490 | + | 6.41929i | −0.257073 | + | 0.333723i | ||||
\(371\) | 17.5722i | 0.912305i | ||||||||
\(372\) | −11.3735 | − | 11.3735i | −0.589690 | − | 0.589690i | ||||
\(373\) | −9.16115 | − | 9.16115i | −0.474346 | − | 0.474346i | 0.428972 | − | 0.903318i | \(-0.358876\pi\) |
−0.903318 | + | 0.428972i | \(0.858876\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −29.1207 | + | 11.8701i | −1.50379 | + | 0.612971i | ||||
\(376\) | − | 9.87319i | − | 0.509171i | ||||||
\(377\) | −6.91493 | − | 6.91493i | −0.356137 | − | 0.356137i | ||||
\(378\) | −9.30628 | + | 9.30628i | −0.478663 | + | 0.478663i | ||||
\(379\) | 7.02914i | 0.361063i | 0.983569 | + | 0.180531i | \(0.0577817\pi\) | ||||
−0.983569 | + | 0.180531i | \(0.942218\pi\) | |||||||
\(380\) | 10.7579 | + | 8.28705i | 0.551871 | + | 0.425117i | ||||
\(381\) | 8.83901i | 0.452836i | ||||||||
\(382\) | 13.5503 | − | 13.5503i | 0.693292 | − | 0.693292i | ||||
\(383\) | −12.0918 | + | 12.0918i | −0.617865 | + | 0.617865i | −0.944983 | − | 0.327119i | \(-0.893922\pi\) |
0.327119 | + | 0.944983i | \(0.393922\pi\) | |||||||
\(384\) | −29.4100 | −1.50082 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −8.22786 | −0.418787 | ||||||||
\(387\) | −38.4255 | + | 38.4255i | −1.95328 | + | 1.95328i | ||||
\(388\) | 0.148593 | − | 0.148593i | 0.00754368 | − | 0.00754368i | ||||
\(389\) | − | 15.3124i | − | 0.776370i | −0.921582 | − | 0.388185i | \(-0.873102\pi\) | ||
0.921582 | − | 0.388185i | \(-0.126898\pi\) | |||||||
\(390\) | −2.35246 | − | 18.1322i | −0.119121 | − | 0.918158i | ||||
\(391\) | − | 0.517008i | − | 0.0261462i | ||||||
\(392\) | −8.50423 | + | 8.50423i | −0.429528 | + | 0.429528i | ||||
\(393\) | −15.1179 | − | 15.1179i | −0.762599 | − | 0.762599i | ||||
\(394\) | − | 12.4204i | − | 0.625731i | ||||||
\(395\) | 8.84449 | − | 11.4816i | 0.445015 | − | 0.577701i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 10.8782 | + | 10.8782i | 0.545960 | + | 0.545960i | 0.925270 | − | 0.379310i | \(-0.123839\pi\) |
−0.379310 | + | 0.925270i | \(0.623839\pi\) | |||||||
\(398\) | 0.372104 | + | 0.372104i | 0.0186519 | + | 0.0186519i | ||||
\(399\) | − | 39.3456i | − | 1.96974i | ||||||
\(400\) | 1.55502 | + | 5.89199i | 0.0777511 | + | 0.294600i | ||||
\(401\) | 14.4828 | 0.723239 | 0.361619 | − | 0.932326i | \(-0.382224\pi\) | ||||
0.361619 | + | 0.932326i | \(0.382224\pi\) | |||||||
\(402\) | −3.04835 | + | 3.04835i | −0.152038 | + | 0.152038i | ||||
\(403\) | −11.0605 | − | 11.0605i | −0.550961 | − | 0.550961i | ||||
\(404\) | 0.119090 | 0.00592494 | ||||||||
\(405\) | 0.528470 | − | 0.686040i | 0.0262599 | − | 0.0340896i | ||||
\(406\) | 5.85937i | 0.290796i | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 2.34202 | − | 2.34202i | 0.115947 | − | 0.115947i | ||||
\(409\) | −10.9654 | −0.542202 | −0.271101 | − | 0.962551i | \(-0.587388\pi\) | ||||
−0.271101 | + | 0.962551i | \(0.587388\pi\) | |||||||
\(410\) | 13.3902 | − | 1.73724i | 0.661294 | − | 0.0857959i | ||||
\(411\) | 43.4167 | 2.14159 | ||||||||
\(412\) | −5.58913 | − | 5.58913i | −0.275357 | − | 0.275357i | ||||
\(413\) | 18.5671 | + | 18.5671i | 0.913628 | + | 0.913628i | ||||
\(414\) | 3.81400 | 0.187448 | ||||||||
\(415\) | 24.0882 | − | 3.12519i | 1.18244 | − | 0.153409i | ||||
\(416\) | −23.8566 | −1.16966 | ||||||||
\(417\) | 22.3313 | − | 22.3313i | 1.09357 | − | 1.09357i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.85633i | 0.334954i | 0.985876 | + | 0.167477i | \(0.0535620\pi\) | ||||
−0.985876 | + | 0.167477i | \(0.946438\pi\) | |||||||
\(420\) | 19.7259 | − | 25.6074i | 0.962523 | − | 1.24951i | ||||
\(421\) | 19.7835 | 0.964187 | 0.482094 | − | 0.876120i | \(-0.339876\pi\) | ||||
0.482094 | + | 0.876120i | \(0.339876\pi\) | |||||||
\(422\) | 0.631946 | + | 0.631946i | 0.0307627 | + | 0.0307627i | ||||
\(423\) | 13.7932 | − | 13.7932i | 0.670650 | − | 0.670650i | ||||
\(424\) | 12.6959 | 0.616567 | ||||||||
\(425\) | −2.04671 | − | 1.19196i | −0.0992801 | − | 0.0578184i | ||||
\(426\) | 21.7074i | 1.05173i | ||||||||
\(427\) | −8.13516 | − | 8.13516i | −0.393688 | − | 0.393688i | ||||
\(428\) | 5.47832 | + | 5.47832i | 0.264805 | + | 0.264805i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −10.7427 | + | 13.9458i | −0.518060 | + | 0.672526i | ||||
\(431\) | 2.12747i | 0.102477i | 0.998686 | + | 0.0512383i | \(0.0163168\pi\) | ||||
−0.998686 | + | 0.0512383i | \(0.983683\pi\) | |||||||
\(432\) | −4.63301 | − | 4.63301i | −0.222906 | − | 0.222906i | ||||
\(433\) | −12.0190 | + | 12.0190i | −0.577598 | + | 0.577598i | −0.934241 | − | 0.356643i | \(-0.883921\pi\) |
0.356643 | + | 0.934241i | \(0.383921\pi\) | |||||||
\(434\) | 9.37209i | 0.449875i | ||||||||
\(435\) | −1.93679 | − | 14.9283i | −0.0928619 | − | 0.715757i | ||||
\(436\) | 27.0009i | 1.29311i | ||||||||
\(437\) | −3.13768 | + | 3.13768i | −0.150096 | + | 0.150096i | ||||
\(438\) | −6.05907 | + | 6.05907i | −0.289514 | + | 0.289514i | ||||
\(439\) | −41.8416 | −1.99699 | −0.998496 | − | 0.0548171i | \(-0.982542\pi\) | ||||
−0.998496 | + | 0.0548171i | \(0.982542\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −23.7615 | −1.13150 | ||||||||
\(442\) | 0.973762 | − | 0.973762i | 0.0463171 | − | 0.0463171i | ||||
\(443\) | 17.2399 | − | 17.2399i | 0.819094 | − | 0.819094i | −0.166883 | − | 0.985977i | \(-0.553370\pi\) |
0.985977 | + | 0.166883i | \(0.0533702\pi\) | |||||||
\(444\) | 21.3982i | 1.01551i | ||||||||
\(445\) | 25.4414 | + | 19.5980i | 1.20604 | + | 0.929034i | ||||
\(446\) | − | 11.6589i | − | 0.552067i | ||||||
\(447\) | 31.1971 | − | 31.1971i | 1.47557 | − | 1.47557i | ||||
\(448\) | 4.17725 | + | 4.17725i | 0.197356 | + | 0.197356i | ||||
\(449\) | − | 1.70856i | − | 0.0806317i | −0.999187 | − | 0.0403159i | \(-0.987164\pi\) | ||
0.999187 | − | 0.0403159i | \(-0.0128364\pi\) | |||||||
\(450\) | 8.79314 | − | 15.0987i | 0.414513 | − | 0.711760i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 11.2291 | + | 11.2291i | 0.528174 | + | 0.528174i | ||||
\(453\) | 46.9001 | + | 46.9001i | 2.20356 | + | 2.20356i | ||||
\(454\) | − | 9.94680i | − | 0.466826i | ||||||
\(455\) | 19.1829 | − | 24.9025i | 0.899307 | − | 1.16745i | ||||
\(456\) | −28.4271 | −1.33122 | ||||||||
\(457\) | −1.38353 | + | 1.38353i | −0.0647190 | + | 0.0647190i | −0.738725 | − | 0.674006i | \(-0.764572\pi\) |
0.674006 | + | 0.738725i | \(0.264572\pi\) | |||||||
\(458\) | 4.77285 | + | 4.77285i | 0.223021 | + | 0.223021i | ||||
\(459\) | 2.54664 | 0.118867 | ||||||||
\(460\) | −3.61518 | + | 0.469031i | −0.168559 | + | 0.0218687i | ||||
\(461\) | 22.4717i | 1.04661i | 0.852144 | + | 0.523307i | \(0.175302\pi\) | ||||
−0.852144 | + | 0.523307i | \(0.824698\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.93273 | + | 4.93273i | −0.229244 | + | 0.229244i | −0.812377 | − | 0.583133i | \(-0.801827\pi\) |
0.583133 | + | 0.812377i | \(0.301827\pi\) | |||||||
\(464\) | −2.91701 | −0.135419 | ||||||||
\(465\) | −3.09790 | − | 23.8779i | −0.143662 | − | 1.10731i | ||||
\(466\) | −0.395138 | −0.0183044 | ||||||||
\(467\) | −14.6910 | − | 14.6910i | −0.679820 | − | 0.679820i | 0.280139 | − | 0.959959i | \(-0.409619\pi\) |
−0.959959 | + | 0.280139i | \(0.909619\pi\) | |||||||
\(468\) | −21.1953 | − | 21.1953i | −0.979753 | − | 0.979753i | ||||
\(469\) | −7.41155 | −0.342233 | ||||||||
\(470\) | 3.85621 | − | 5.00599i | 0.177874 | − | 0.230909i | ||||
\(471\) | 24.8606 | 1.14552 | ||||||||
\(472\) | 13.4147 | − | 13.4147i | 0.617461 | − | 0.617461i | ||||
\(473\) | 0 | 0 | ||||||||
\(474\) | 12.9715i | 0.595800i | ||||||||
\(475\) | 5.18743 | + | 19.6552i | 0.238016 | + | 0.901844i | ||||
\(476\) | 2.43455 | 0.111588 | ||||||||
\(477\) | 17.7367 | + | 17.7367i | 0.812106 | + | 0.812106i | ||||
\(478\) | 5.05673 | − | 5.05673i | 0.231290 | − | 0.231290i | ||||
\(479\) | −20.2576 | −0.925592 | −0.462796 | − | 0.886465i | \(-0.653154\pi\) | ||||
−0.462796 | + | 0.886465i | \(0.653154\pi\) | |||||||
\(480\) | −29.0923 | − | 22.4104i | −1.32788 | − | 1.02289i | ||||
\(481\) | 20.8092i | 0.948818i | ||||||||
\(482\) | 12.0990 | + | 12.0990i | 0.551094 | + | 0.551094i | ||||
\(483\) | 7.46869 | + | 7.46869i | 0.339837 | + | 0.339837i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.311960 | − | 0.0404735i | 0.0141654 | − | 0.00183781i | ||||
\(486\) | − | 10.7004i | − | 0.485382i | ||||||
\(487\) | −14.4921 | − | 14.4921i | −0.656700 | − | 0.656700i | 0.297898 | − | 0.954598i | \(-0.403714\pi\) |
−0.954598 | + | 0.297898i | \(0.903714\pi\) | |||||||
\(488\) | −5.87763 | + | 5.87763i | −0.266068 | + | 0.266068i | ||||
\(489\) | − | 45.8150i | − | 2.07182i | ||||||
\(490\) | −7.63342 | + | 0.990356i | −0.344843 | + | 0.0447397i | ||||
\(491\) | − | 12.2278i | − | 0.551834i | −0.961181 | − | 0.275917i | \(-0.911018\pi\) | ||
0.961181 | − | 0.275917i | \(-0.0889815\pi\) | |||||||
\(492\) | 25.2131 | − | 25.2131i | 1.13669 | − | 1.13669i | ||||
\(493\) | 0.801702 | − | 0.801702i | 0.0361068 | − | 0.0361068i | ||||
\(494\) | −11.8194 | −0.531779 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −4.66577 | −0.209499 | ||||||||
\(497\) | −26.3889 | + | 26.3889i | −1.18370 | + | 1.18370i | ||||
\(498\) | −15.3723 | + | 15.3723i | −0.688851 | + | 0.688851i | ||||
\(499\) | − | 17.4373i | − | 0.780600i | −0.920688 | − | 0.390300i | \(-0.872371\pi\) | ||
0.920688 | − | 0.390300i | \(-0.127629\pi\) | |||||||
\(500\) | −6.47798 | + | 15.3930i | −0.289704 | + | 0.688395i | ||||
\(501\) | 33.3447i | 1.48973i | ||||||||
\(502\) | 0.887791 | − | 0.887791i | 0.0396240 | − | 0.0396240i | ||||
\(503\) | 18.1510 | + | 18.1510i | 0.809312 | + | 0.809312i | 0.984530 | − | 0.175218i | \(-0.0560629\pi\) |
−0.175218 | + | 0.984530i | \(0.556063\pi\) | |||||||
\(504\) | 42.0066i | 1.87112i | ||||||||
\(505\) | 0.141229 | + | 0.108791i | 0.00628459 | + | 0.00484114i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.34666 | − | 7.34666i | −0.326277 | − | 0.326277i | ||||
\(508\) | 3.31924 | + | 3.31924i | 0.147268 | + | 0.147268i | ||||
\(509\) | 39.5711i | 1.75396i | 0.480530 | + | 0.876978i | \(0.340444\pi\) | ||||
−0.480530 | + | 0.876978i | \(0.659556\pi\) | |||||||
\(510\) | 2.10220 | − | 0.272739i | 0.0930872 | − | 0.0120771i | ||||
\(511\) | −14.7316 | −0.651689 | ||||||||
\(512\) | −9.31641 | + | 9.31641i | −0.411731 | + | 0.411731i | ||||
\(513\) | −15.4554 | − | 15.4554i | −0.682371 | − | 0.682371i | ||||
\(514\) | −19.9601 | −0.880400 | ||||||||
\(515\) | −1.52236 | − | 11.7339i | −0.0670830 | − | 0.517059i | ||||
\(516\) | 46.4873i | 2.04649i | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 8.81635 | − | 8.81635i | 0.387368 | − | 0.387368i | ||||
\(519\) | −36.0402 | −1.58199 | ||||||||
\(520\) | −17.9920 | − | 13.8596i | −0.789000 | − | 0.607782i | ||||
\(521\) | 8.59201 | 0.376423 | 0.188211 | − | 0.982129i | \(-0.439731\pi\) | ||||
0.188211 | + | 0.982129i | \(0.439731\pi\) | |||||||
\(522\) | 5.91420 | + | 5.91420i | 0.258858 | + | 0.258858i | ||||
\(523\) | 0.195667 | + | 0.195667i | 0.00855593 | + | 0.00855593i | 0.711372 | − | 0.702816i | \(-0.248074\pi\) |
−0.702816 | + | 0.711372i | \(0.748074\pi\) | |||||||
\(524\) | −11.3542 | −0.496012 | ||||||||
\(525\) | 46.7858 | − | 12.3478i | 2.04190 | − | 0.538901i | ||||
\(526\) | −2.01462 | −0.0878414 | ||||||||
\(527\) | 1.28233 | − | 1.28233i | 0.0558590 | − | 0.0558590i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.8088i | 0.948208i | ||||||||
\(530\) | 6.43719 | + | 4.95869i | 0.279614 | + | 0.215392i | ||||
\(531\) | 37.4817 | 1.62657 | ||||||||
\(532\) | −14.7751 | − | 14.7751i | −0.640583 | − | 0.640583i | ||||
\(533\) | 24.5190 | − | 24.5190i | 1.06204 | − | 1.06204i | ||||
\(534\) | −28.7427 | −1.24382 | ||||||||
\(535\) | 1.49217 | + | 11.5013i | 0.0645123 | + | 0.497245i | ||||
\(536\) | 5.35482i | 0.231293i | ||||||||
\(537\) | 22.6577 | + | 22.6577i | 0.977750 | + | 0.977750i | ||||
\(538\) | −3.90573 | − | 3.90573i | −0.168388 | − | 0.168388i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −2.31032 | − | 17.8074i | −0.0994204 | − | 0.766308i | ||||
\(541\) | − | 32.6816i | − | 1.40509i | −0.711639 | − | 0.702545i | \(-0.752047\pi\) | ||
0.711639 | − | 0.702545i | \(-0.247953\pi\) | |||||||
\(542\) | −5.48255 | − | 5.48255i | −0.235496 | − | 0.235496i | ||||
\(543\) | −45.6464 | + | 45.6464i | −1.95887 | + | 1.95887i | ||||
\(544\) | − | 2.76588i | − | 0.118586i | ||||||
\(545\) | −24.6660 | + | 32.0204i | −1.05657 | + | 1.37160i | ||||
\(546\) | 28.1339i | 1.20402i | ||||||||
\(547\) | −15.1192 | + | 15.1192i | −0.646451 | + | 0.646451i | −0.952134 | − | 0.305682i | \(-0.901115\pi\) |
0.305682 | + | 0.952134i | \(0.401115\pi\) | |||||||
\(548\) | 16.3039 | − | 16.3039i | 0.696469 | − | 0.696469i | ||||
\(549\) | −16.4226 | −0.700898 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9.73093 | −0.414552 | ||||||||
\(552\) | 5.39611 | − | 5.39611i | 0.229674 | − | 0.229674i | ||||
\(553\) | −15.7690 | + | 15.7690i | −0.670566 | + | 0.670566i | ||||
\(554\) | 16.4389i | 0.698423i | ||||||||
\(555\) | −19.5478 | + | 25.3762i | −0.829756 | + | 1.07716i | ||||
\(556\) | − | 16.7718i | − | 0.711282i | ||||||
\(557\) | −31.2783 | + | 31.2783i | −1.32530 | + | 1.32530i | −0.415889 | + | 0.909415i | \(0.636530\pi\) |
−0.909415 | + | 0.415889i | \(0.863470\pi\) | |||||||
\(558\) | 9.45979 | + | 9.45979i | 0.400465 | + | 0.400465i | ||||
\(559\) | 45.2076i | 1.91208i | ||||||||
\(560\) | −1.20639 | − | 9.29854i | −0.0509792 | − | 0.392935i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 13.1883 | + | 13.1883i | 0.556314 | + | 0.556314i | ||||
\(563\) | −31.4299 | − | 31.4299i | −1.32461 | − | 1.32461i | −0.909996 | − | 0.414617i | \(-0.863916\pi\) |
−0.414617 | − | 0.909996i | \(-0.636084\pi\) | |||||||
\(564\) | − | 16.6871i | − | 0.702654i | ||||||
\(565\) | 3.05857 | + | 23.5747i | 0.128675 | + | 0.991794i | ||||
\(566\) | 10.4605 | 0.439689 | ||||||||
\(567\) | −0.942218 | + | 0.942218i | −0.0395695 | + | 0.0395695i | ||||
\(568\) | 19.0659 | + | 19.0659i | 0.799988 | + | 0.799988i | ||||
\(569\) | −36.2705 | −1.52054 | −0.760269 | − | 0.649609i | \(-0.774933\pi\) | ||||
−0.760269 | + | 0.649609i | \(0.774933\pi\) | |||||||
\(570\) | −14.4133 | − | 11.1029i | −0.603709 | − | 0.465049i | ||||
\(571\) | 10.1812i | 0.426071i | 0.977044 | + | 0.213036i | \(0.0683350\pi\) | ||||
−0.977044 | + | 0.213036i | \(0.931665\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 53.5657 | − | 53.5657i | 2.23774 | − | 2.23774i | ||||
\(574\) | −20.7762 | −0.867183 | ||||||||
\(575\) | −4.71571 | − | 2.74632i | −0.196659 | − | 0.114530i | ||||
\(576\) | 8.43267 | 0.351361 | ||||||||
\(577\) | −3.43820 | − | 3.43820i | −0.143134 | − | 0.143134i | 0.631909 | − | 0.775043i | \(-0.282272\pi\) |
−0.775043 | + | 0.631909i | \(0.782272\pi\) | |||||||
\(578\) | −8.44013 | − | 8.44013i | −0.351063 | − | 0.351063i | ||||
\(579\) | −32.5257 | −1.35172 | ||||||||
\(580\) | −6.33321 | − | 4.87859i | −0.262972 | − | 0.202573i | ||||
\(581\) | −37.3753 | −1.55059 | ||||||||
\(582\) | −0.199083 | + | 0.199083i | −0.00825226 | + | 0.00825226i | ||||
\(583\) | 0 | 0 | ||||||||
\(584\) | 10.6436i | 0.440434i | ||||||||
\(585\) | −5.77313 | − | 44.4979i | −0.238689 | − | 1.83976i | ||||
\(586\) | −4.77383 | −0.197205 | ||||||||
\(587\) | −11.4838 | − | 11.4838i | −0.473989 | − | 0.473989i | 0.429214 | − | 0.903203i | \(-0.358791\pi\) |
−0.903203 | + | 0.429214i | \(0.858791\pi\) | |||||||
\(588\) | −14.3734 | + | 14.3734i | −0.592748 | + | 0.592748i | ||||
\(589\) | −15.5647 | −0.641331 | ||||||||
\(590\) | 12.0411 | − | 1.56220i | 0.495723 | − | 0.0643148i | ||||
\(591\) | − | 49.0992i | − | 2.01967i | ||||||
\(592\) | 4.38910 | + | 4.38910i | 0.180391 | + | 0.180391i | ||||
\(593\) | −17.4863 | − | 17.4863i | −0.718078 | − | 0.718078i | 0.250134 | − | 0.968211i | \(-0.419525\pi\) |
−0.968211 | + | 0.250134i | \(0.919525\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.88714 | + | 2.22402i | 0.118361 | + | 0.0911759i | ||||
\(596\) | − | 23.4304i | − | 0.959747i | ||||||
\(597\) | 1.47097 | + | 1.47097i | 0.0602027 | + | 0.0602027i | ||||
\(598\) | 2.24359 | − | 2.24359i | 0.0917472 | − | 0.0917472i | ||||
\(599\) | 32.5486i | 1.32990i | 0.746887 | + | 0.664950i | \(0.231547\pi\) | ||||
−0.746887 | + | 0.664950i | \(0.768453\pi\) | |||||||
\(600\) | −8.92123 | − | 33.8026i | −0.364208 | − | 1.37999i | ||||
\(601\) | − | 14.4422i | − | 0.589112i | −0.955634 | − | 0.294556i | \(-0.904828\pi\) | ||
0.955634 | − | 0.294556i | \(-0.0951717\pi\) | |||||||
\(602\) | 19.1534 | − | 19.1534i | 0.780633 | − | 0.780633i | ||||
\(603\) | −7.48090 | + | 7.48090i | −0.304646 | + | 0.304646i | ||||
\(604\) | 35.2241 | 1.43325 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −0.159555 | −0.00648147 | ||||||||
\(607\) | 9.62524 | − | 9.62524i | 0.390677 | − | 0.390677i | −0.484252 | − | 0.874929i | \(-0.660908\pi\) |
0.874929 | + | 0.484252i | \(0.160908\pi\) | |||||||
\(608\) | −16.7859 | + | 16.7859i | −0.680758 | + | 0.680758i | ||||
\(609\) | 23.1628i | 0.938603i | ||||||||
\(610\) | −5.27579 | + | 0.684477i | −0.213610 | + | 0.0277137i | ||||
\(611\) | − | 16.2278i | − | 0.656505i | ||||||
\(612\) | 2.45734 | − | 2.45734i | 0.0993319 | − | 0.0993319i | ||||
\(613\) | −16.3254 | − | 16.3254i | −0.659376 | − | 0.659376i | 0.295856 | − | 0.955232i | \(-0.404395\pi\) |
−0.955232 | + | 0.295856i | \(0.904395\pi\) | |||||||
\(614\) | − | 12.2494i | − | 0.494345i | ||||||
\(615\) | 52.9329 | − | 6.86748i | 2.13446 | − | 0.276924i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −27.8255 | − | 27.8255i | −1.12021 | − | 1.12021i | −0.991709 | − | 0.128506i | \(-0.958982\pi\) |
−0.128506 | − | 0.991709i | \(-0.541018\pi\) | |||||||
\(618\) | 7.48824 | + | 7.48824i | 0.301221 | + | 0.301221i | ||||
\(619\) | 12.9114i | 0.518954i | 0.965749 | + | 0.259477i | \(0.0835502\pi\) | ||||
−0.965749 | + | 0.259477i | \(0.916450\pi\) | |||||||
\(620\) | −10.1300 | − | 7.80333i | −0.406830 | − | 0.313389i | ||||
\(621\) | 5.86757 | 0.235457 | ||||||||
\(622\) | 7.89000 | − | 7.89000i | 0.316360 | − | 0.316360i | ||||
\(623\) | −34.9416 | − | 34.9416i | −1.39990 | − | 1.39990i | ||||
\(624\) | −14.0061 | −0.560693 | ||||||||
\(625\) | −21.7441 | + | 12.3368i | −0.869763 | + | 0.493470i | ||||
\(626\) | − | 8.79386i | − | 0.351473i | ||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9.33570 | − | 9.33570i | 0.372535 | − | 0.372535i | ||||
\(629\) | −2.41257 | −0.0961956 | ||||||||
\(630\) | −16.4067 | + | 21.2986i | −0.653659 | + | 0.848556i | ||||
\(631\) | 34.5944 | 1.37718 | 0.688591 | − | 0.725150i | \(-0.258230\pi\) | ||||
0.688591 | + | 0.725150i | \(0.258230\pi\) | |||||||
\(632\) | 11.3931 | + | 11.3931i | 0.453191 | + | 0.453191i | ||||
\(633\) | 2.49816 | + | 2.49816i | 0.0992927 | + | 0.0992927i | ||||
\(634\) | 5.18586 | 0.205957 | ||||||||
\(635\) | 0.904089 | + | 6.96849i | 0.0358777 | + | 0.276536i | ||||
\(636\) | 21.4579 | 0.850861 | ||||||||
\(637\) | −13.9777 | + | 13.9777i | −0.553817 | + | 0.553817i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 53.2717i | 2.10740i | ||||||||
\(640\) | −23.1862 | + | 3.00817i | −0.916517 | + | 0.118908i | ||||
\(641\) | 14.4243 | 0.569726 | 0.284863 | − | 0.958568i | \(-0.408052\pi\) | ||||
0.284863 | + | 0.958568i | \(0.408052\pi\) | |||||||
\(642\) | −7.33979 | − | 7.33979i | −0.289678 | − | 0.289678i | ||||
\(643\) | 5.41176 | − | 5.41176i | 0.213419 | − | 0.213419i | −0.592299 | − | 0.805718i | \(-0.701780\pi\) |
0.805718 | + | 0.592299i | \(0.201780\pi\) | |||||||
\(644\) | 5.60932 | 0.221038 | ||||||||
\(645\) | −42.4672 | + | 55.1293i | −1.67214 | + | 2.17071i | ||||
\(646\) | − | 1.37031i | − | 0.0539142i | ||||||
\(647\) | 32.2634 | + | 32.2634i | 1.26840 | + | 1.26840i | 0.946912 | + | 0.321493i | \(0.104185\pi\) |
0.321493 | + | 0.946912i | \(0.395815\pi\) | |||||||
\(648\) | 0.680750 | + | 0.680750i | 0.0267424 | + | 0.0267424i | ||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −3.70926 | − | 14.0544i | −0.145489 | − | 0.551259i | ||||
\(651\) | 37.0489i | 1.45206i | ||||||||
\(652\) | −17.2045 | − | 17.2045i | −0.673781 | − | 0.673781i | ||||
\(653\) | −21.2370 | + | 21.2370i | −0.831069 | + | 0.831069i | −0.987663 | − | 0.156594i | \(-0.949949\pi\) |
0.156594 | + | 0.987663i | \(0.449949\pi\) | |||||||
\(654\) | − | 36.1755i | − | 1.41457i | ||||||
\(655\) | −13.4650 | − | 10.3723i | −0.526121 | − | 0.405281i | ||||
\(656\) | − | 10.3432i | − | 0.403833i | ||||||
\(657\) | −14.8695 | + | 14.8695i | −0.580113 | + | 0.580113i | ||||
\(658\) | −6.87531 | + | 6.87531i | −0.268027 | + | 0.268027i | ||||
\(659\) | 19.2722 | 0.750739 | 0.375370 | − | 0.926875i | \(-0.377516\pi\) | ||||
0.375370 | + | 0.926875i | \(0.377516\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.42240 | −0.327593 | −0.163797 | − | 0.986494i | \(-0.552374\pi\) | ||||
−0.163797 | + | 0.986494i | \(0.552374\pi\) | |||||||
\(662\) | −13.7095 | + | 13.7095i | −0.532835 | + | 0.532835i | ||||
\(663\) | 3.84939 | − | 3.84939i | 0.149498 | − | 0.149498i | ||||
\(664\) | 27.0035i | 1.04794i | ||||||||
\(665\) | −4.02442 | − | 31.0192i | −0.156060 | − | 1.20287i | ||||
\(666\) | − | 17.7977i | − | 0.689647i | ||||||
\(667\) | 1.84716 | − | 1.84716i | 0.0715221 | − | 0.0715221i | ||||
\(668\) | 12.5217 | + | 12.5217i | 0.484478 | + | 0.484478i | ||||
\(669\) | − | 46.0891i | − | 1.78191i | ||||||
\(670\) | −2.09146 | + | 2.71505i | −0.0808000 | + | 0.104892i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | 39.9559 | + | 39.9559i | 1.54133 | + | 1.54133i | ||||
\(673\) | 27.0776 | + | 27.0776i | 1.04376 | + | 1.04376i | 0.998997 | + | 0.0447675i | \(0.0142547\pi\) |
0.0447675 | + | 0.998997i | \(0.485745\pi\) | |||||||
\(674\) | 1.57842i | 0.0607987i | ||||||||
\(675\) | 13.5276 | − | 23.2283i | 0.520679 | − | 0.894058i | ||||
\(676\) | −5.51766 | −0.212218 | ||||||||
\(677\) | −10.8668 | + | 10.8668i | −0.417645 | + | 0.417645i | −0.884391 | − | 0.466746i | \(-0.845426\pi\) |
0.466746 | + | 0.884391i | \(0.345426\pi\) | |||||||
\(678\) | −15.0446 | − | 15.0446i | −0.577786 | − | 0.577786i | ||||
\(679\) | −0.484037 | −0.0185757 | ||||||||
\(680\) | 1.60685 | − | 2.08595i | 0.0616198 | − | 0.0799925i | ||||
\(681\) | − | 39.3208i | − | 1.50678i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −13.3701 | + | 13.3701i | −0.511594 | + | 0.511594i | −0.915015 | − | 0.403421i | \(-0.867821\pi\) |
0.403421 | + | 0.915015i | \(0.367821\pi\) | |||||||
\(684\) | −29.8268 | −1.14045 | ||||||||
\(685\) | 34.2288 | − | 4.44083i | 1.30782 | − | 0.169675i | ||||
\(686\) | −5.29257 | −0.202071 | ||||||||
\(687\) | 18.8676 | + | 18.8676i | 0.719845 | + | 0.719845i | ||||
\(688\) | 9.53526 | + | 9.53526i | 0.363528 | + | 0.363528i | ||||
\(689\) | 20.8672 | 0.794978 | ||||||||
\(690\) | 4.84357 | − | 0.628402i | 0.184391 | − | 0.0239228i | ||||
\(691\) | 48.3363 | 1.83880 | 0.919400 | − | 0.393323i | \(-0.128675\pi\) | ||||
0.919400 | + | 0.393323i | \(0.128675\pi\) | |||||||
\(692\) | −13.5339 | + | 13.5339i | −0.514482 | + | 0.514482i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | − | 14.3289i | − | 0.543919i | ||||||
\(695\) | 15.3214 | − | 19.8897i | 0.581174 | − | 0.754458i | ||||
\(696\) | 16.7350 | 0.634340 | ||||||||
\(697\) | 2.84268 | + | 2.84268i | 0.107674 | + | 0.107674i | ||||
\(698\) | −3.35999 | + | 3.35999i | −0.127178 | + | 0.127178i | ||||
\(699\) | −1.56202 | −0.0590811 | ||||||||
\(700\) | 12.9322 | − | 22.2060i | 0.488793 | − | 0.839306i | ||||
\(701\) | − | 4.96673i | − | 0.187591i | −0.995591 | − | 0.0937954i | \(-0.970100\pi\) | ||
0.995591 | − | 0.0937954i | \(-0.0298999\pi\) | |||||||
\(702\) | 11.0513 | + | 11.0513i | 0.417105 | + | 0.417105i | ||||
\(703\) | 14.6417 | + | 14.6417i | 0.552223 | + | 0.552223i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 15.2440 | − | 19.7892i | 0.574124 | − | 0.745306i | ||||
\(706\) | 8.01252i | 0.301555i | ||||||||
\(707\) | −0.193965 | − | 0.193965i | −0.00729482 | − | 0.00729482i | ||||
\(708\) | 22.6728 | − | 22.6728i | 0.852094 | − | 0.852094i | ||||
\(709\) | 33.9415i | 1.27470i | 0.770574 | + | 0.637350i | \(0.219969\pi\) | ||||
−0.770574 | + | 0.637350i | \(0.780031\pi\) | |||||||
\(710\) | 2.22031 | + | 17.1136i | 0.0833269 | + | 0.642263i | ||||
\(711\) | 31.8331i | 1.19383i | ||||||||
\(712\) | −25.2452 | + | 25.2452i | −0.946104 | + | 0.946104i | ||||
\(713\) | 2.95453 | − | 2.95453i | 0.110648 | − | 0.110648i | ||||
\(714\) | −3.26178 | −0.122069 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 17.0169 | 0.635951 | ||||||||
\(717\) | 19.9898 | − | 19.9898i | 0.746534 | − | 0.746534i | ||||
\(718\) | 0.249343 | − | 0.249343i | 0.00930540 | − | 0.00930540i | ||||
\(719\) | 0.999925i | 0.0372909i | 0.999826 | + | 0.0186454i | \(0.00593537\pi\) | ||||
−0.999826 | + | 0.0186454i | \(0.994065\pi\) | |||||||
\(720\) | −10.6032 | − | 8.16787i | −0.395159 | − | 0.304399i | ||||
\(721\) | 18.2064i | 0.678042i | ||||||||
\(722\) | 1.24295 | − | 1.24295i | 0.0462580 | − | 0.0462580i | ||||
\(723\) | 47.8287 | + | 47.8287i | 1.77877 | + | 1.77877i | ||||
\(724\) | 34.2824i | 1.27410i | ||||||||
\(725\) | −3.05385 | − | 11.5711i | −0.113417 | − | 0.429738i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.31564 | + | 8.31564i | 0.308410 | + | 0.308410i | 0.844293 | − | 0.535883i | \(-0.180021\pi\) |
−0.535883 | + | 0.844293i | \(0.680021\pi\) | |||||||
\(728\) | 24.7105 | + | 24.7105i | 0.915831 | + | 0.915831i | ||||
\(729\) | − | 43.4619i | − | 1.60970i | ||||||
\(730\) | −4.15710 | + | 5.39659i | −0.153861 | + | 0.199737i | ||||
\(731\) | −5.24128 | −0.193856 | ||||||||
\(732\) | −9.93405 | + | 9.93405i | −0.367173 | + | 0.367173i | ||||
\(733\) | −9.48027 | − | 9.48027i | −0.350162 | − | 0.350162i | 0.510008 | − | 0.860170i | \(-0.329642\pi\) |
−0.860170 | + | 0.510008i | \(0.829642\pi\) | |||||||
\(734\) | 9.02623 | 0.333164 | ||||||||
\(735\) | −30.1758 | + | 3.91499i | −1.11305 | + | 0.144407i | ||||
\(736\) | − | 6.37270i | − | 0.234901i | ||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | −20.9706 | + | 20.9706i | −0.771940 | + | 0.771940i | ||||
\(739\) | 27.9159 | 1.02690 | 0.513452 | − | 0.858118i | \(-0.328366\pi\) | ||||
0.513452 | + | 0.858118i | \(0.328366\pi\) | |||||||
\(740\) | 2.18869 | + | 16.8699i | 0.0804580 | + | 0.620151i | ||||
\(741\) | −46.7233 | −1.71642 | ||||||||
\(742\) | −8.84094 | − | 8.84094i | −0.324561 | − | 0.324561i | ||||
\(743\) | 6.73618 | + | 6.73618i | 0.247126 | + | 0.247126i | 0.819790 | − | 0.572664i | \(-0.194090\pi\) |
−0.572664 | + | 0.819790i | \(0.694090\pi\) | |||||||
\(744\) | 26.7677 | 0.981353 | ||||||||
\(745\) | 21.4042 | − | 27.7861i | 0.784189 | − | 1.01800i | ||||
\(746\) | 9.21830 | 0.337506 | ||||||||
\(747\) | −37.7250 | + | 37.7250i | −1.38029 | + | 1.38029i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 17.8455i | − | 0.652059i | ||||||
\(750\) | 8.67912 | − | 20.6233i | 0.316917 | − | 0.753057i | ||||
\(751\) | −5.23693 | −0.191098 | −0.0955492 | − | 0.995425i | \(-0.530461\pi\) | ||||
−0.0955492 | + | 0.995425i | \(0.530461\pi\) | |||||||
\(752\) | −3.42278 | − | 3.42278i | −0.124816 | − | 0.124816i | ||||
\(753\) | 3.50954 | − | 3.50954i | 0.127895 | − | 0.127895i | ||||
\(754\) | 6.95807 | 0.253398 | ||||||||
\(755\) | 41.7722 | + | 32.1780i | 1.52025 | + | 1.17108i | ||||
\(756\) | 27.6300i | 1.00489i | ||||||||
\(757\) | −17.5005 | − | 17.5005i | −0.636068 | − | 0.636068i | 0.313515 | − | 0.949583i | \(-0.398493\pi\) |
−0.949583 | + | 0.313515i | \(0.898493\pi\) | |||||||
\(758\) | −3.53650 | − | 3.53650i | −0.128451 | − | 0.128451i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −22.4113 | + | 2.90763i | −0.812943 | + | 0.105471i | ||||
\(761\) | 12.9003i | 0.467636i | 0.972280 | + | 0.233818i | \(0.0751220\pi\) | ||||
−0.972280 | + | 0.233818i | \(0.924878\pi\) | |||||||
\(762\) | −4.44708 | − | 4.44708i | −0.161101 | − | 0.161101i | ||||
\(763\) | 43.9774 | − | 43.9774i | 1.59209 | − | 1.59209i | ||||
\(764\) | − | 40.2302i | − | 1.45548i | ||||||
\(765\) | 5.15898 | − | 0.669324i | 0.186523 | − | 0.0241995i | ||||
\(766\) | − | 12.1673i | − | 0.439622i | ||||||
\(767\) | 22.0486 | − | 22.0486i | 0.796131 | − | 0.796131i | ||||
\(768\) | 21.6265 | − | 21.6265i | 0.780379 | − | 0.780379i | ||||
\(769\) | 12.6310 | 0.455485 | 0.227743 | − | 0.973721i | \(-0.426866\pi\) | ||||
0.227743 | + | 0.973721i | \(0.426866\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −78.9043 | −2.84167 | ||||||||
\(772\) | −12.2141 | + | 12.2141i | −0.439595 | + | 0.439595i | ||||
\(773\) | 13.0923 | − | 13.0923i | 0.470896 | − | 0.470896i | −0.431308 | − | 0.902205i | \(-0.641948\pi\) |
0.902205 | + | 0.431308i | \(0.141948\pi\) | |||||||
\(774\) | − | 38.6652i | − | 1.38979i | ||||||
\(775\) | −4.88464 | − | 18.5079i | −0.175461 | − | 0.664825i | ||||
\(776\) | 0.349716i | 0.0125541i | ||||||||
\(777\) | 34.8520 | − | 34.8520i | 1.25031 | − | 1.25031i | ||||
\(778\) | 7.70397 | + | 7.70397i | 0.276201 | + | 0.276201i | ||||
\(779\) | − | 34.5041i | − | 1.23624i | ||||||
\(780\) | −30.4090 | − | 23.4247i | −1.08882 | − | 0.838738i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 0.260117 | + | 0.260117i | 0.00930176 | + | 0.00930176i | ||||
\(783\) | 9.09859 | + | 9.09859i | 0.325157 | + | 0.325157i | ||||
\(784\) | 5.89640i | 0.210586i | ||||||||
\(785\) | 19.5996 | − | 2.54284i | 0.699539 | − | 0.0907578i | ||||
\(786\) | 15.2123 | 0.542603 | ||||||||
\(787\) | 33.4827 | − | 33.4827i | 1.19353 | − | 1.19353i | 0.217462 | − | 0.976069i | \(-0.430222\pi\) |
0.976069 | − | 0.217462i | \(-0.0697777\pi\) | |||||||
\(788\) | −18.4378 | − | 18.4378i | −0.656821 | − | 0.656821i | ||||
\(789\) | −7.96400 | −0.283526 | ||||||||
\(790\) | 1.32677 | + | 10.2264i | 0.0472045 | + | 0.363841i | ||||
\(791\) | − | 36.5785i | − | 1.30058i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.66060 | + | 9.66060i | −0.343058 | + | 0.343058i | ||||
\(794\) | −10.9460 | −0.388460 | ||||||||
\(795\) | 25.4469 | + | 19.6023i | 0.902509 | + | 0.695221i | ||||
\(796\) | 1.10476 | 0.0391572 | ||||||||
\(797\) | −22.0234 | − | 22.0234i | −0.780107 | − | 0.780107i | 0.199741 | − | 0.979849i | \(-0.435990\pi\) |
−0.979849 | + | 0.199741i | \(0.935990\pi\) | |||||||
\(798\) | 19.7955 | + | 19.7955i | 0.700754 | + | 0.700754i | ||||
\(799\) | 1.88141 | 0.0665596 | ||||||||
\(800\) | −25.2280 | − | 14.6922i | −0.891945 | − | 0.519448i | ||||
\(801\) | −70.5371 | −2.49230 | ||||||||
\(802\) | −7.28660 | + | 7.28660i | −0.257299 | + | 0.257299i | ||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 9.05042i | 0.319184i | ||||||||
\(805\) | 6.65209 | + | 5.12424i | 0.234455 | + | 0.180606i | ||||
\(806\) | 11.1295 | 0.392019 | ||||||||
\(807\) | −15.4398 | − | 15.4398i | −0.543507 | − | 0.543507i | ||||
\(808\) | −0.140140 | + | 0.140140i | −0.00493009 | + | 0.00493009i | ||||
\(809\) | 44.2757 | 1.55665 | 0.778326 | − | 0.627861i | \(-0.216069\pi\) | ||||
0.778326 | + | 0.627861i | \(0.216069\pi\) | |||||||
\(810\) | 0.0792765 | + | 0.611044i | 0.00278549 | + | 0.0214699i | ||||
\(811\) | − | 2.49904i | − | 0.0877532i | −0.999037 | − | 0.0438766i | \(-0.986029\pi\) | ||
0.999037 | − | 0.0438766i | \(-0.0139708\pi\) | |||||||
\(812\) | 8.69813 | + | 8.69813i | 0.305244 | + | 0.305244i | ||||
\(813\) | −21.6731 | − | 21.6731i | −0.760110 | − | 0.760110i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.68613 | − | 36.1196i | −0.164148 | − | 1.26521i | ||||
\(816\) | − | 1.62384i | − | 0.0568457i | ||||||
\(817\) | 31.8089 | + | 31.8089i | 1.11285 | + | 1.11285i | ||||
\(818\) | 5.51689 | − | 5.51689i | 0.192893 | − | 0.192893i | ||||
\(819\) | 69.0430i | 2.41256i | ||||||||
\(820\) | 17.2986 | − | 22.4564i | 0.604092 | − | 0.784210i | ||||
\(821\) | − | 37.6724i | − | 1.31478i | −0.753552 | − | 0.657388i | \(-0.771661\pi\) | ||
0.753552 | − | 0.657388i | \(-0.228339\pi\) | |||||||
\(822\) | −21.8438 | + | 21.8438i | −0.761889 | + | 0.761889i | ||||
\(823\) | 6.31750 | − | 6.31750i | 0.220214 | − | 0.220214i | −0.588374 | − | 0.808589i | \(-0.700232\pi\) |
0.808589 | + | 0.588374i | \(0.200232\pi\) | |||||||
\(824\) | 13.1541 | 0.458244 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −18.6829 | −0.650063 | ||||||||
\(827\) | 20.8891 | − | 20.8891i | 0.726387 | − | 0.726387i | −0.243511 | − | 0.969898i | \(-0.578299\pi\) |
0.969898 | + | 0.243511i | \(0.0782994\pi\) | |||||||
\(828\) | 5.66180 | − | 5.66180i | 0.196761 | − | 0.196761i | ||||
\(829\) | − | 15.4972i | − | 0.538240i | −0.963107 | − | 0.269120i | \(-0.913267\pi\) | ||
0.963107 | − | 0.269120i | \(-0.0867328\pi\) | |||||||
\(830\) | −10.5469 | + | 13.6916i | −0.366088 | + | 0.475241i | ||||
\(831\) | 64.9849i | 2.25430i | ||||||||
\(832\) | 4.96053 | − | 4.96053i | 0.171975 | − | 0.171975i | ||||
\(833\) | −1.62055 | − | 1.62055i | −0.0561486 | − | 0.0561486i | ||||
\(834\) | 22.4706i | 0.778094i | ||||||||
\(835\) | 3.41062 | + | 26.2883i | 0.118030 | + | 0.909743i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 14.5532 | + | 14.5532i | 0.503033 | + | 0.503033i | ||||
\(838\) | −3.44955 | − | 3.44955i | −0.119163 | − | 0.119163i | ||||
\(839\) | − | 35.8907i | − | 1.23908i | −0.784963 | − | 0.619542i | \(-0.787318\pi\) | ||
0.784963 | − | 0.619542i | \(-0.212682\pi\) | |||||||
\(840\) | 6.92110 | + | 53.3461i | 0.238801 | + | 1.84062i | ||||
\(841\) | −23.2714 | −0.802462 | ||||||||
\(842\) | −9.95345 | + | 9.95345i | −0.343018 | + | 0.343018i | ||||
\(843\) | 52.1348 | + | 52.1348i | 1.79562 | + | 1.79562i | ||||
\(844\) | 1.87622 | 0.0645823 | ||||||||
\(845\) | −6.54340 | − | 5.04051i | −0.225100 | − | 0.173399i | ||||
\(846\) | 13.8793i | 0.477180i | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 4.40134 | − | 4.40134i | 0.151143 | − | 0.151143i | ||||
\(849\) | 41.3517 | 1.41919 | ||||||||
\(850\) | 1.62944 | − | 0.430043i | 0.0558892 | − | 0.0147504i | ||||
\(851\) | −5.55867 | −0.190549 | ||||||||
\(852\) | 32.2242 | + | 32.2242i | 1.10398 | + | 1.10398i | ||||
\(853\) | −6.84669 | − | 6.84669i | −0.234426 | − | 0.234426i | 0.580111 | − | 0.814537i | \(-0.303009\pi\) |
−0.814537 | + | 0.580111i | \(0.803009\pi\) | |||||||
\(854\) | 8.18592 | 0.280116 | ||||||||
\(855\) | −35.3715 | − | 27.2474i | −1.20968 | − | 0.931841i | ||||
\(856\) | −12.8933 | −0.440684 | ||||||||
\(857\) | 27.8084 | − | 27.8084i | 0.949918 | − | 0.949918i | −0.0488861 | − | 0.998804i | \(-0.515567\pi\) |
0.998804 | + | 0.0488861i | \(0.0155671\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 27.0190i | 0.921878i | 0.887432 | + | 0.460939i | \(0.152487\pi\) | ||||
−0.887432 | + | 0.460939i | \(0.847513\pi\) | |||||||
\(860\) | 4.75490 | + | 36.6496i | 0.162141 | + | 1.24974i | ||||
\(861\) | −82.1308 | −2.79901 | ||||||||
\(862\) | −1.07037 | − | 1.07037i | −0.0364570 | − | 0.0364570i | ||||
\(863\) | 21.6891 | − | 21.6891i | 0.738305 | − | 0.738305i | −0.233945 | − | 0.972250i | \(-0.575164\pi\) |
0.972250 | + | 0.233945i | \(0.0751636\pi\) | |||||||
\(864\) | 31.3902 | 1.06792 | ||||||||
\(865\) | −28.4134 | + | 3.68633i | −0.966083 | + | 0.125339i | ||||
\(866\) | − | 12.0940i | − | 0.410972i | ||||||
\(867\) | −33.3648 | − | 33.3648i | −1.13313 | − | 1.13313i | ||||
\(868\) | 13.9127 | + | 13.9127i | 0.472227 | + | 0.472227i | ||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 8.48515 | + | 6.53628i | 0.287674 | + | 0.221601i | ||||
\(871\) | 8.80129i | 0.298220i | ||||||||
\(872\) | −31.7735 | − | 31.7735i | −1.07599 | − | 1.07599i | ||||
\(873\) | −0.488567 | + | 0.488567i | −0.0165355 | + | 0.0165355i | ||||
\(874\) | − | 3.15726i | − | 0.106796i | ||||||
\(875\) | 35.6220 | − | 14.5202i | 1.20424 | − | 0.490871i | ||||
\(876\) | 17.9892i | 0.607797i | ||||||||
\(877\) | −20.3642 | + | 20.3642i | −0.687652 | + | 0.687652i | −0.961712 | − | 0.274061i | \(-0.911633\pi\) |
0.274061 | + | 0.961712i | \(0.411633\pi\) | |||||||
\(878\) | 21.0513 | − | 21.0513i | 0.710448 | − | 0.710448i | ||||
\(879\) | −18.8715 | −0.636520 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.4428 | 0.924572 | 0.462286 | − | 0.886731i | \(-0.347029\pi\) | ||||
0.462286 | + | 0.886731i | \(0.347029\pi\) | |||||||
\(882\) | 11.9549 | − | 11.9549i | 0.402541 | − | 0.402541i | ||||
\(883\) | 27.4325 | − | 27.4325i | 0.923177 | − | 0.923177i | −0.0740760 | − | 0.997253i | \(-0.523601\pi\) |
0.997253 | + | 0.0740760i | \(0.0236007\pi\) | |||||||
\(884\) | − | 2.89106i | − | 0.0972369i | ||||||
\(885\) | 47.5997 | − | 6.17556i | 1.60005 | − | 0.207589i | ||||
\(886\) | 17.3475i | 0.582800i | ||||||||
\(887\) | 7.19261 | − | 7.19261i | 0.241504 | − | 0.241504i | −0.575968 | − | 0.817472i | \(-0.695375\pi\) |
0.817472 | + | 0.575968i | \(0.195375\pi\) | |||||||
\(888\) | −25.1805 | − | 25.1805i | −0.845002 | − | 0.845002i | ||||
\(889\) | − | 10.8123i | − | 0.362634i | ||||||
\(890\) | −22.6602 | + | 2.93992i | −0.759571 | + | 0.0985463i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −17.3075 | − | 17.3075i | −0.579497 | − | 0.579497i | ||||
\(893\) | −11.4181 | − | 11.4181i | −0.382094 | − | 0.382094i | ||||
\(894\) | 31.3918i | 1.04990i | ||||||||
\(895\) | 20.1803 | + | 15.5453i | 0.674554 | + | 0.519623i | ||||
\(896\) | 35.9758 | 1.20187 | ||||||||
\(897\) | 8.86916 | − | 8.86916i | 0.296133 | − | 0.296133i | ||||
\(898\) | 0.859607 | + | 0.859607i | 0.0286855 | + | 0.0286855i | ||||
\(899\) | 9.16293 | 0.305601 | ||||||||
\(900\) | −9.36049 | − | 35.4670i | −0.312016 | − | 1.18223i | ||||
\(901\) | 2.41930i | 0.0805986i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 75.7154 | − | 75.7154i | 2.51965 | − | 2.51965i | ||||
\(904\) | −26.4279 | −0.878978 | ||||||||
\(905\) | −31.3178 | + | 40.6555i | −1.04104 | + | 1.35144i | ||||
\(906\) | −47.1927 | −1.56787 | ||||||||
\(907\) | −16.4544 | − | 16.4544i | −0.546358 | − | 0.546358i | 0.379027 | − | 0.925386i | \(-0.376259\pi\) |
−0.925386 | + | 0.379027i | \(0.876259\pi\) | |||||||
\(908\) | −14.7658 | − | 14.7658i | −0.490021 | − | 0.490021i | ||||
\(909\) | −0.391561 | −0.0129873 | ||||||||
\(910\) | 2.87765 | + | 22.1802i | 0.0953930 | + | 0.735266i | ||||
\(911\) | −16.5084 | −0.546949 | −0.273475 | − | 0.961879i | \(-0.588173\pi\) | ||||
−0.273475 | + | 0.961879i | \(0.588173\pi\) | |||||||
\(912\) | −9.85494 | + | 9.85494i | −0.326330 | + | 0.326330i | ||||
\(913\) | 0 | 0 | ||||||||
\(914\) | − | 1.39217i | − | 0.0460488i | ||||||
\(915\) | −20.8558 | + | 2.70582i | −0.689470 | + | 0.0894515i | ||||
\(916\) | 14.1704 | 0.468204 | ||||||||
\(917\) | 18.4930 | + | 18.4930i | 0.610694 | + | 0.610694i | ||||
\(918\) | −1.28126 | + | 1.28126i | −0.0422880 | + | 0.0422880i | ||||
\(919\) | −23.1496 | −0.763635 | −0.381817 | − | 0.924238i | \(-0.624702\pi\) | ||||
−0.381817 | + | 0.924238i | \(0.624702\pi\) | |||||||
\(920\) | 3.70225 | − | 4.80612i | 0.122059 | − | 0.158453i | ||||
\(921\) | − | 48.4232i | − | 1.59560i | ||||||
\(922\) | −11.3060 | − | 11.3060i | −0.372342 | − | 0.372342i | ||||
\(923\) | 31.3371 | + | 31.3371i | 1.03147 | + | 1.03147i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −12.8155 | + | 22.0055i | −0.421370 | + | 0.723535i | ||||
\(926\) | − | 4.96351i | − | 0.163111i | ||||||
\(927\) | 18.3768 | + | 18.3768i | 0.603572 | + | 0.603572i | ||||
\(928\) | 9.88188 | − | 9.88188i | 0.324388 | − | 0.324388i | ||||
\(929\) | 16.8820i | 0.553881i | 0.960887 | + | 0.276941i | \(0.0893205\pi\) | ||||
−0.960887 | + | 0.276941i | \(0.910679\pi\) | |||||||
\(930\) | 13.5720 | + | 10.4548i | 0.445044 | + | 0.342826i | ||||
\(931\) | 19.6699i | 0.644656i | ||||||||
\(932\) | −0.586574 | + | 0.586574i | −0.0192139 | + | 0.0192139i | ||||
\(933\) | 31.1900 | − | 31.1900i | 1.02112 | − | 1.02112i | ||||
\(934\) | 14.7827 | 0.483705 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 49.8834 | 1.63049 | ||||||||
\(937\) | −38.0770 | + | 38.0770i | −1.24392 | + | 1.24392i | −0.285559 | + | 0.958361i | \(0.592179\pi\) |
−0.958361 | + | 0.285559i | \(0.907821\pi\) | |||||||
\(938\) | 3.72889 | − | 3.72889i | 0.121753 | − | 0.121753i | ||||
\(939\) | − | 34.7631i | − | 1.13445i | ||||||
\(940\) | −1.70682 | − | 13.1558i | −0.0556704 | − | 0.429094i | ||||
\(941\) | − | 48.0751i | − | 1.56720i | −0.621263 | − | 0.783602i | \(-0.713380\pi\) | ||
0.621263 | − | 0.783602i | \(-0.286620\pi\) | |||||||
\(942\) | −12.5078 | + | 12.5078i | −0.407528 | + | 0.407528i | ||||
\(943\) | 6.54966 | + | 6.54966i | 0.213286 | + | 0.213286i | ||||
\(944\) | − | 9.30106i | − | 0.302724i | ||||||
\(945\) | −25.2406 | + | 32.7664i | −0.821077 | + | 1.06589i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −7.71234 | − | 7.71234i | −0.250617 | − | 0.250617i | 0.570606 | − | 0.821224i | \(-0.306708\pi\) |
−0.821224 | + | 0.570606i | \(0.806708\pi\) | |||||||
\(948\) | 19.2559 | + | 19.2559i | 0.625403 | + | 0.625403i | ||||
\(949\) | 17.4940i | 0.567878i | ||||||||
\(950\) | −12.4988 | − | 7.27903i | −0.405516 | − | 0.236163i | ||||
\(951\) | 20.5003 | 0.664767 | ||||||||
\(952\) | −2.86488 | + | 2.86488i | −0.0928512 | + | 0.0928512i | ||||
\(953\) | −0.457301 | − | 0.457301i | −0.0148134 | − | 0.0148134i | 0.699661 | − | 0.714475i | \(-0.253334\pi\) |
−0.714475 | + | 0.699661i | \(0.753334\pi\) | |||||||
\(954\) | −17.8473 | −0.577828 | ||||||||
\(955\) | 36.7512 | − | 47.7090i | 1.18924 | − | 1.54383i | ||||
\(956\) | − | 15.0132i | − | 0.485563i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.1920 | − | 10.1920i | 0.329288 | − | 0.329288i | ||||
\(959\) | −53.1095 | −1.71499 | ||||||||
\(960\) | 10.7090 | − | 1.38938i | 0.345632 | − | 0.0448422i | ||||
\(961\) | −16.3439 | −0.527221 | ||||||||
\(962\) | −10.4695 | − | 10.4695i | −0.337551 | − | 0.337551i | ||||
\(963\) | −18.0124 | − | 18.0124i | −0.580443 | − | 0.580443i | ||||
\(964\) | 35.9214 | 1.15695 | ||||||||
\(965\) | −25.6425 | + | 3.32685i | −0.825463 | + | 0.107095i | ||||
\(966\) | −7.51529 | −0.241800 | ||||||||
\(967\) | 3.28535 | − | 3.28535i | 0.105650 | − | 0.105650i | −0.652306 | − | 0.757956i | \(-0.726198\pi\) |
0.757956 | + | 0.652306i | \(0.226198\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 5.41700i | − | 0.174019i | ||||||
\(970\) | −0.136590 | + | 0.177316i | −0.00438564 | + | 0.00569328i | ||||
\(971\) | −46.0962 | −1.47930 | −0.739649 | − | 0.672992i | \(-0.765009\pi\) | ||||
−0.739649 | + | 0.672992i | \(0.765009\pi\) | |||||||
\(972\) | −15.8846 | − | 15.8846i | −0.509499 | − | 0.509499i | ||||
\(973\) | −27.3168 | + | 27.3168i | −0.875736 | + | 0.875736i | ||||
\(974\) | 14.5825 | 0.467254 | ||||||||
\(975\) | −14.6631 | − | 55.5587i | −0.469595 | − | 1.77930i | ||||
\(976\) | 4.07525i | 0.130446i | ||||||||
\(977\) | 37.9919 | + | 37.9919i | 1.21547 | + | 1.21547i | 0.969203 | + | 0.246265i | \(0.0792033\pi\) |
0.246265 | + | 0.969203i | \(0.420797\pi\) | |||||||
\(978\) | 23.0504 | + | 23.0504i | 0.737070 | + | 0.737070i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −9.86150 | + | 12.8018i | −0.315014 | + | 0.408939i | ||||
\(981\) | − | 88.7777i | − | 2.83445i | ||||||
\(982\) | 6.15206 | + | 6.15206i | 0.196320 | + | 0.196320i | ||||
\(983\) | −11.0350 | + | 11.0350i | −0.351961 | + | 0.351961i | −0.860839 | − | 0.508878i | \(-0.830061\pi\) |
0.508878 | + | 0.860839i | \(0.330061\pi\) | |||||||
\(984\) | 59.3393i | 1.89167i | ||||||||
\(985\) | −5.02206 | − | 38.7088i | −0.160016 | − | 1.23337i | ||||
\(986\) | 0.806704i | 0.0256907i | ||||||||
\(987\) | −27.1789 | + | 27.1789i | −0.865113 | + | 0.865113i | ||||
\(988\) | −17.5456 | + | 17.5456i | −0.558201 | + | 0.558201i | ||||
\(989\) | −12.0761 | −0.383998 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 7.83738 | 0.248962 | 0.124481 | − | 0.992222i | \(-0.460273\pi\) | ||||
0.124481 | + | 0.992222i | \(0.460273\pi\) | |||||||
\(992\) | 15.8061 | − | 15.8061i | 0.501844 | − | 0.501844i | ||||
\(993\) | −54.1952 | + | 54.1952i | −1.71983 | + | 1.71983i | ||||
\(994\) | − | 26.5536i | − | 0.842228i | ||||||
\(995\) | 1.31014 | + | 1.00922i | 0.0415341 | + | 0.0319946i | ||||
\(996\) | 45.6399i | 1.44615i | ||||||||
\(997\) | 18.1683 | − | 18.1683i | 0.575394 | − | 0.575394i | −0.358236 | − | 0.933631i | \(-0.616622\pi\) |
0.933631 | + | 0.358236i | \(0.116622\pi\) | |||||||
\(998\) | 8.77303 | + | 8.77303i | 0.277705 | + | 0.277705i | ||||
\(999\) | − | 27.3805i | − | 0.866281i |
(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 | 605.2.e.c.362.8 | ✓ | 40 | |
5.3 | odd | 4 | inner | 605.2.e.c.483.13 | yes | 40 | |
11.2 | odd | 10 | 605.2.m.g.282.8 | 160 | |||
11.3 | even | 5 | 605.2.m.g.112.13 | 160 | |||
11.4 | even | 5 | 605.2.m.g.457.8 | 160 | |||
11.5 | even | 5 | 605.2.m.g.602.13 | 160 | |||
11.6 | odd | 10 | 605.2.m.g.602.8 | 160 | |||
11.7 | odd | 10 | 605.2.m.g.457.13 | 160 | |||
11.8 | odd | 10 | 605.2.m.g.112.8 | 160 | |||
11.9 | even | 5 | 605.2.m.g.282.13 | 160 | |||
11.10 | odd | 2 | inner | 605.2.e.c.362.13 | yes | 40 | |
55.3 | odd | 20 | 605.2.m.g.233.13 | 160 | |||
55.8 | even | 20 | 605.2.m.g.233.8 | 160 | |||
55.13 | even | 20 | 605.2.m.g.403.13 | 160 | |||
55.18 | even | 20 | 605.2.m.g.578.13 | 160 | |||
55.28 | even | 20 | 605.2.m.g.118.13 | 160 | |||
55.38 | odd | 20 | 605.2.m.g.118.8 | 160 | |||
55.43 | even | 4 | inner | 605.2.e.c.483.8 | yes | 40 | |
55.48 | odd | 20 | 605.2.m.g.578.8 | 160 | |||
55.53 | odd | 20 | 605.2.m.g.403.8 | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
605.2.e.c.362.8 | ✓ | 40 | 1.1 | even | 1 | trivial | |
605.2.e.c.362.13 | yes | 40 | 11.10 | odd | 2 | inner | |
605.2.e.c.483.8 | yes | 40 | 55.43 | even | 4 | inner | |
605.2.e.c.483.13 | yes | 40 | 5.3 | odd | 4 | inner | |
605.2.m.g.112.8 | 160 | 11.8 | odd | 10 | |||
605.2.m.g.112.13 | 160 | 11.3 | even | 5 | |||
605.2.m.g.118.8 | 160 | 55.38 | odd | 20 | |||
605.2.m.g.118.13 | 160 | 55.28 | even | 20 | |||
605.2.m.g.233.8 | 160 | 55.8 | even | 20 | |||
605.2.m.g.233.13 | 160 | 55.3 | odd | 20 | |||
605.2.m.g.282.8 | 160 | 11.2 | odd | 10 | |||
605.2.m.g.282.13 | 160 | 11.9 | even | 5 | |||
605.2.m.g.403.8 | 160 | 55.53 | odd | 20 | |||
605.2.m.g.403.13 | 160 | 55.13 | even | 20 | |||
605.2.m.g.457.8 | 160 | 11.4 | even | 5 | |||
605.2.m.g.457.13 | 160 | 11.7 | odd | 10 | |||
605.2.m.g.578.8 | 160 | 55.48 | odd | 20 | |||
605.2.m.g.578.13 | 160 | 55.18 | even | 20 | |||
605.2.m.g.602.8 | 160 | 11.6 | odd | 10 | |||
605.2.m.g.602.13 | 160 | 11.5 | even | 5 |