Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(367,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 4, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.367");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.cz (of order \(6\), 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: | \(8.04892052375\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 607.7 | ||
Character | \(\chi\) | \(=\) | 1008.607 |
Dual form | 1008.2.cz.h.367.7 |
$q$-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 \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.706216 | − | 1.58154i | 0.407734 | − | 0.913101i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.27943 | + | 0.738680i | −0.572179 | + | 0.330348i | −0.758019 | − | 0.652232i | \(-0.773833\pi\) |
0.185840 | + | 0.982580i | \(0.440499\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.34028 | + | 2.28115i | −0.506577 | + | 0.862195i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.00252 | − | 2.23381i | −0.667506 | − | 0.744605i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.40250 | − | 1.38709i | −0.724382 | − | 0.418222i | 0.0919816 | − | 0.995761i | \(-0.470680\pi\) |
−0.816363 | + | 0.577539i | \(0.804013\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.955418 | + | 0.551611i | 0.264985 | + | 0.152989i | 0.626607 | − | 0.779336i | \(-0.284443\pi\) |
−0.361621 | + | 0.932325i | \(0.617777\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.264694 | + | 2.54514i | 0.0683438 | + | 0.657151i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.69424 | − | 0.978168i | 0.410913 | − | 0.237241i | −0.280269 | − | 0.959921i | \(-0.590424\pi\) |
0.691182 | + | 0.722681i | \(0.257090\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.46466 | + | 6.00097i | −0.794847 | + | 1.37672i | 0.128089 | + | 0.991763i | \(0.459116\pi\) |
−0.922936 | + | 0.384953i | \(0.874218\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.66120 | + | 3.73068i | 0.580722 | + | 0.814102i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.0279687 | + | 0.0161477i | −0.00583188 | + | 0.00336704i | −0.502913 | − | 0.864337i | \(-0.667738\pi\) |
0.497081 | + | 0.867704i | \(0.334405\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.40870 | + | 2.43994i | −0.281741 | + | 0.487989i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.94707 | + | 1.58950i | −0.952064 | + | 0.305899i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.53801 | + | 7.86007i | 0.842688 | + | 1.45958i | 0.887614 | + | 0.460588i | \(0.152361\pi\) |
−0.0449259 | + | 0.998990i | \(0.514305\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.704107 | −0.126461 | −0.0632306 | − | 0.997999i | \(-0.520140\pi\) | ||||
−0.0632306 | + | 0.997999i | \(0.520140\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.89041 | + | 2.82006i | −0.677234 | + | 0.490910i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.0297482 | − | 3.90862i | 0.00502837 | − | 0.660677i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.92560 | + | 3.33523i | −0.316566 | + | 0.548309i | −0.979769 | − | 0.200131i | \(-0.935863\pi\) |
0.663203 | + | 0.748440i | \(0.269197\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 1.54713 | − | 1.12147i | 0.247738 | − | 0.179579i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.23630 | − | 1.29113i | −0.349252 | − | 0.201640i | 0.315104 | − | 0.949057i | \(-0.397961\pi\) |
−0.664356 | + | 0.747417i | \(0.731294\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −8.95705 | + | 5.17136i | −1.36594 | + | 0.788624i | −0.990406 | − | 0.138185i | \(-0.955873\pi\) |
−0.375531 | + | 0.926810i | \(0.622540\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 4.21216 | + | 1.37879i | 0.627912 | + | 0.205538i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −4.28149 | −0.624520 | −0.312260 | − | 0.949997i | \(-0.601086\pi\) | ||||
−0.312260 | + | 0.949997i | \(0.601086\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.40732 | − | 6.11475i | −0.486760 | − | 0.873536i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.350511 | − | 3.37030i | −0.0490814 | − | 0.471936i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.49123 | + | 6.04699i | 0.479558 | + | 0.830618i | 0.999725 | − | 0.0234462i | \(-0.00746385\pi\) |
−0.520168 | + | 0.854064i | \(0.674131\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.09845 | 0.552635 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.04395 | + | 9.71747i | 0.932994 | + | 1.28711i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.13799 | −0.148154 | −0.0740768 | − | 0.997253i | \(-0.523601\pi\) | ||||
−0.0740768 | + | 0.997253i | \(0.523601\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.58999i | 0.331614i | 0.986158 | + | 0.165807i | \(0.0530228\pi\) | ||||
−0.986158 | + | 0.165807i | \(0.946977\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.77960 | − | 1.57412i | 0.980137 | − | 0.198321i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.62986 | −0.202159 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 11.6636i | − | 1.42493i | −0.701707 | − | 0.712466i | \(-0.747578\pi\) | ||
0.701707 | − | 0.712466i | \(-0.252422\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.00578629 | + | 0.0556373i | 0.000696587 | + | 0.00669795i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 15.6777i | − | 1.86060i | −0.366799 | − | 0.930300i | \(-0.619546\pi\) | ||
0.366799 | − | 0.930300i | \(-0.380454\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.41573 | + | 2.54942i | −0.516822 | + | 0.298388i | −0.735634 | − | 0.677380i | \(-0.763115\pi\) |
0.218811 | + | 0.975767i | \(0.429782\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 2.86401 | + | 3.95104i | 0.330708 | + | 0.456227i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.38417 | − | 3.62140i | 0.727544 | − | 0.412697i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.38410i | 0.943285i | 0.881790 | + | 0.471643i | \(0.156339\pi\) | ||||
−0.881790 | + | 0.471643i | \(0.843661\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.979853 | + | 8.94650i | −0.108873 | + | 0.994056i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.34759 | + | 9.26231i | 0.586975 | + | 1.01667i | 0.994626 | + | 0.103532i | \(0.0330146\pi\) |
−0.407651 | + | 0.913138i | \(0.633652\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.44511 | + | 2.50300i | −0.156744 | + | 0.271488i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 15.6358 | − | 1.62613i | 1.67633 | − | 0.174339i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.83761 | + | 5.10240i | 0.936785 | + | 0.540853i | 0.888951 | − | 0.458002i | \(-0.151435\pi\) |
0.0478337 | + | 0.998855i | \(0.484768\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.53883 | + | 1.44015i | −0.266142 | + | 0.150968i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.497252 | + | 1.11357i | −0.0515626 | + | 0.115472i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | − | 10.2371i | − | 1.05030i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.95620 | − | 4.01617i | 0.706296 | − | 0.407780i | −0.103392 | − | 0.994641i | \(-0.532970\pi\) |
0.809688 | + | 0.586861i | \(0.199636\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.71256 | + | 8.14441i | 0.172119 | + | 0.818544i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.762717 | − | 0.440355i | −0.0758932 | − | 0.0438169i | 0.461573 | − | 0.887102i | \(-0.347285\pi\) |
−0.537466 | + | 0.843285i | \(0.680618\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.535717 | + | 0.927889i | 0.0527858 | + | 0.0914276i | 0.891211 | − | 0.453589i | \(-0.149857\pi\) |
−0.838425 | + | 0.545017i | \(0.816523\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.16061 | − | 2.80738i | −0.601214 | − | 0.273972i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −16.4651 | − | 9.50613i | −1.59174 | − | 0.918993i | −0.993008 | − | 0.118045i | \(-0.962337\pi\) |
−0.598734 | − | 0.800948i | \(-0.704329\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.39943 | + | 2.42389i | 0.134041 | + | 0.232166i | 0.925231 | − | 0.379405i | \(-0.123871\pi\) |
−0.791190 | + | 0.611571i | \(0.790538\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.91491 | + | 5.40080i | 0.371586 | + | 0.512621i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 4.66742 | − | 8.08421i | 0.439074 | − | 0.760499i | −0.558544 | − | 0.829475i | \(-0.688640\pi\) |
0.997618 | + | 0.0689759i | \(0.0219732\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0238560 | − | 0.0413199i | 0.00222459 | − | 0.00385310i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.681045 | − | 3.23884i | −0.0629626 | − | 0.299431i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.0393929 | + | 5.17583i | −0.00361114 | + | 0.474468i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.65199 | − | 2.86133i | −0.150181 | − | 0.260121i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −3.62128 | + | 2.62498i | −0.326520 | + | 0.236686i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 11.5491i | − | 1.03299i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.43956i | 0.571419i | 0.958316 | + | 0.285709i | \(0.0922292\pi\) | ||||
−0.958316 | + | 0.285709i | \(0.907771\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.85307 | + | 17.8180i | 0.163154 | + | 1.56879i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.76490 | + | 3.05690i | 0.154200 | + | 0.267083i | 0.932768 | − | 0.360478i | \(-0.117387\pi\) |
−0.778567 | + | 0.627561i | \(0.784053\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −9.04553 | − | 15.9464i | −0.784347 | − | 1.38273i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.15531 | − | 5.68796i | 0.443698 | − | 0.489541i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9.60299 | − | 16.6329i | 0.820439 | − | 1.42104i | −0.0849170 | − | 0.996388i | \(-0.527063\pi\) |
0.905356 | − | 0.424654i | \(-0.139604\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.42275 | + | 14.5886i | −0.714408 | + | 1.23739i | 0.248779 | + | 0.968560i | \(0.419971\pi\) |
−0.963187 | + | 0.268831i | \(0.913363\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.02366 | + | 6.77134i | −0.254638 | + | 0.570250i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −1.53026 | − | 2.65049i | −0.127967 | − | 0.221645i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.6122 | − | 6.70428i | −0.964337 | − | 0.556760i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −12.0770 | + | 1.07047i | −0.996095 | + | 0.0882908i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −10.6203 | − | 18.3949i | −0.870050 | − | 1.50697i | −0.861944 | − | 0.507003i | \(-0.830753\pi\) |
−0.00810521 | − | 0.999967i | \(-0.502580\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.4787 | − | 7.20460i | −1.01551 | − | 0.586302i | −0.102706 | − | 0.994712i | \(-0.532750\pi\) |
−0.912799 | + | 0.408410i | \(0.866084\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −5.57778 | − | 1.82581i | −0.450937 | − | 0.147608i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.900856 | − | 0.520110i | 0.0723585 | − | 0.0417762i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.69801i | 0.454751i | 0.973807 | + | 0.227375i | \(0.0730144\pi\) | ||||
−0.973807 | + | 0.227375i | \(0.926986\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 12.0291 | − | 1.25103i | 0.953970 | − | 0.0992129i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.000650304 | − | 0.0854433i | 5.12511e−5 | − | 0.00673388i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −4.25007 | − | 2.45378i | −0.332891 | − | 0.192195i | 0.324233 | − | 0.945977i | \(-0.394894\pi\) |
−0.657124 | + | 0.753783i | \(0.728227\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.89439 | − | 6.48185i | 0.225328 | − | 0.504611i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.958089 | + | 1.65946i | −0.0741392 | + | 0.128413i | −0.900712 | − | 0.434418i | \(-0.856954\pi\) |
0.826572 | + | 0.562830i | \(0.190288\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.89145 | − | 10.2043i | −0.453188 | − | 0.784945i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 20.3431 | − | 4.27763i | 1.55567 | − | 0.327119i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 23.8613i | 1.81414i | 0.420978 | + | 0.907071i | \(0.361687\pi\) | ||||
−0.420978 | + | 0.907071i | \(0.638313\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.67784 | − | 6.48367i | −0.278018 | − | 0.490119i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.803667 | + | 1.79977i | −0.0604073 | + | 0.135279i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 8.43765 | − | 4.87148i | 0.630659 | − | 0.364111i | −0.150348 | − | 0.988633i | \(-0.548039\pi\) |
0.781007 | + | 0.624522i | \(0.214706\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.54520i | 0.114854i | 0.998350 | + | 0.0574269i | \(0.0182896\pi\) | ||||
−0.998350 | + | 0.0574269i | \(0.981710\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 4.09616 | + | 1.82909i | 0.302797 | + | 0.135210i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | − | 5.68961i | − | 0.418308i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.42721 | −0.396877 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 3.00455 | − | 13.4154i | 0.218549 | − | 0.975826i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 1.83767i | − | 0.132969i | −0.997787 | − | 0.0664845i | \(-0.978822\pi\) | ||
0.997787 | − | 0.0664845i | \(-0.0211783\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.87378 | 0.134878 | 0.0674389 | − | 0.997723i | \(-0.478517\pi\) | ||||
0.0674389 | + | 0.997723i | \(0.478517\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.15103 | + | 2.57768i | −0.0824271 | + | 0.184591i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −21.3079 | −1.51812 | −0.759061 | − | 0.651019i | \(-0.774342\pi\) | ||||
−0.759061 | + | 0.651019i | \(0.774342\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 10.4408 | + | 18.0840i | 0.740129 | + | 1.28194i | 0.952436 | + | 0.304738i | \(0.0985690\pi\) |
−0.212307 | + | 0.977203i | \(0.568098\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −18.4464 | − | 8.23700i | −1.30111 | − | 0.580993i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −24.0122 | − | 0.182756i | −1.68533 | − | 0.0128269i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.81493 | 0.266446 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0.0920789 | + | 0.0301408i | 0.00639992 | + | 0.00209493i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 16.6477 | − | 9.61156i | 1.15155 | − | 0.664845i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.5460 | + | 7.24345i | 0.863704 | + | 0.498660i | 0.865251 | − | 0.501339i | \(-0.167159\pi\) |
−0.00154663 | + | 0.999999i | \(0.500492\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −24.7949 | − | 11.0718i | −1.69892 | − | 0.758631i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 7.63996 | − | 13.2328i | 0.521041 | − | 0.902469i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.943697 | − | 1.60617i | 0.0640623 | − | 0.109034i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.913545 | + | 8.78409i | 0.0617317 | + | 0.593574i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.15827 | 0.145181 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 7.93256 | + | 13.7396i | 0.531204 | + | 0.920072i | 0.999337 | + | 0.0364138i | \(0.0115934\pi\) |
−0.468133 | + | 0.883658i | \(0.655073\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.27133 | − | 1.73925i | 0.551422 | − | 0.115950i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 9.68469 | − | 16.7744i | 0.642795 | − | 1.11335i | −0.342011 | − | 0.939696i | \(-0.611108\pi\) |
0.984806 | − | 0.173658i | \(-0.0555587\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 17.6120 | − | 10.1683i | 1.16384 | − | 0.671941i | 0.211616 | − | 0.977353i | \(-0.432127\pi\) |
0.952220 | + | 0.305411i | \(0.0987940\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.21877 | − | 12.6543i | −0.0801892 | − | 0.832591i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −13.2043 | + | 22.8706i | −0.865046 | + | 1.49830i | 0.00195620 | + | 0.999998i | \(0.499377\pi\) |
−0.867002 | + | 0.498305i | \(0.833956\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.47788 | − | 3.16266i | 0.357338 | − | 0.206309i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 13.2598 | + | 5.92099i | 0.861314 | + | 0.384610i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.27359 | − | 3.04471i | −0.341120 | − | 0.196946i | 0.319647 | − | 0.947537i | \(-0.396436\pi\) |
−0.660767 | + | 0.750591i | \(0.729769\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.519055 | + | 0.299676i | 0.0334353 | + | 0.0193039i | 0.516624 | − | 0.856212i | \(-0.327188\pi\) |
−0.483189 | + | 0.875516i | \(0.660522\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 13.4572 | + | 7.86784i | 0.863282 | + | 0.504722i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 8.87628 | + | 5.30648i | 0.567085 | + | 0.339019i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −6.62040 | + | 3.82229i | −0.421246 | + | 0.243206i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 18.4252 | − | 1.91623i | 1.16765 | − | 0.121436i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −14.7398 | −0.930366 | −0.465183 | − | 0.885215i | \(-0.654011\pi\) | ||||
−0.465183 | + | 0.885215i | \(0.654011\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.0895932 | 0.00563268 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.93803 | + | 4.05315i | 0.183986 | + | 0.253818i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 14.1894 | − | 8.19227i | 0.885112 | − | 0.511020i | 0.0127718 | − | 0.999918i | \(-0.495934\pi\) |
0.872341 | + | 0.488898i | \(0.162601\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.02735 | − | 8.86272i | −0.312384 | − | 0.550703i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 8.47049 | − | 25.8770i | 0.524310 | − | 1.60175i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.12161 | + | 2.95696i | 0.315812 | + | 0.182334i | 0.649524 | − | 0.760341i | \(-0.274968\pi\) |
−0.333712 | + | 0.942675i | \(0.608301\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.93359 | − | 5.15781i | −0.548786 | − | 0.316842i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 14.3109 | − | 10.3736i | 0.875812 | − | 0.634854i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −9.08351 | + | 5.24436i | −0.553831 | + | 0.319755i | −0.750666 | − | 0.660682i | \(-0.770267\pi\) |
0.196835 | + | 0.980437i | \(0.436934\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.68306 | − | 6.37925i | 0.223730 | − | 0.387512i | −0.732208 | − | 0.681081i | \(-0.761510\pi\) |
0.955938 | + | 0.293570i | \(0.0948433\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.484677 | + | 5.03231i | 0.0293340 | + | 0.304569i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.76882 | − | 3.90798i | 0.408175 | − | 0.235660i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.887744 | − | 1.53762i | 0.0533394 | − | 0.0923865i | −0.838123 | − | 0.545481i | \(-0.816347\pi\) |
0.891462 | + | 0.453095i | \(0.149680\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.40999 | + | 1.57284i | 0.0844136 | + | 0.0941637i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.08260 | − | 3.60717i | −0.124237 | − | 0.215185i | 0.797197 | − | 0.603719i | \(-0.206315\pi\) |
−0.921435 | + | 0.388534i | \(0.872982\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.40760 | −0.202561 | −0.101280 | − | 0.994858i | \(-0.532294\pi\) | ||||
−0.101280 | + | 0.994858i | \(0.532294\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −16.1904 | − | 7.22961i | −0.959034 | − | 0.428245i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.94252 | − | 3.37088i | 0.350776 | − | 0.198977i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.58637 | + | 11.4079i | −0.387434 | + | 0.671055i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −1.43913 | − | 13.8378i | −0.0843632 | − | 0.811185i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −16.1931 | − | 9.34911i | −0.946013 | − | 0.546181i | −0.0541729 | − | 0.998532i | \(-0.517252\pi\) |
−0.891840 | + | 0.452351i | \(0.850586\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.45598 | − | 0.840610i | 0.0847704 | − | 0.0489422i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 14.0901 | + | 3.04324i | 0.817591 | + | 0.176586i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0356291 | −0.00206048 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.208262 | − | 27.3635i | 0.0120040 | − | 1.57720i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.23508 | + | 0.895279i | −0.0709535 | + | 0.0514324i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.91317 | − | 3.31371i | −0.109548 | − | 0.189742i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −13.0627 | −0.745528 | −0.372764 | − | 0.927926i | \(-0.621590\pi\) | ||||
−0.372764 | + | 0.927926i | \(0.621590\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 1.84582 | − | 0.191966i | 0.105005 | − | 0.0109205i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 30.8740 | 1.75070 | 0.875352 | − | 0.483487i | \(-0.160630\pi\) | ||||
0.875352 | + | 0.483487i | \(0.160630\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − | 15.9800i | − | 0.903244i | −0.892209 | − | 0.451622i | \(-0.850846\pi\) | ||
0.892209 | − | 0.451622i | \(-0.149154\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −8.79069 | + | 7.76062i | −0.495299 | + | 0.437261i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 3.70957 | 0.208350 | 0.104175 | − | 0.994559i | \(-0.466780\pi\) | ||||
0.104175 | + | 0.994559i | \(0.466780\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 25.1784i | − | 1.40972i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −26.6622 | + | 19.3268i | −1.48814 | + | 1.07872i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 13.5561i | 0.754280i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.69180 | + | 1.55411i | −0.149314 | + | 0.0862066i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.82177 | − | 0.501464i | 0.266644 | − | 0.0277310i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.73838 | − | 9.76675i | 0.316367 | − | 0.538458i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 27.8487i | 1.53070i | 0.643612 | + | 0.765352i | \(0.277435\pi\) | ||||
−0.643612 | + | 0.765352i | \(0.722565\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 11.3063 | − | 2.37743i | 0.619583 | − | 0.130283i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 8.61565 | + | 14.9227i | 0.470723 | + | 0.815316i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −5.14339 | + | 8.90861i | −0.280178 | + | 0.485283i | −0.971428 | − | 0.237333i | \(-0.923727\pi\) |
0.691250 | + | 0.722615i | \(0.257060\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.48927 | − | 13.0909i | −0.515386 | − | 0.711000i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1.69162 | + | 0.976656i | 0.0916062 | + | 0.0528889i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.5154 | + | 0.422825i | 0.999739 | + | 0.0228304i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.0485014 | − | 0.0669100i | −0.00261123 | − | 0.00360231i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − | 13.5568i | − | 0.727767i | −0.931445 | − | 0.363883i | \(-0.881451\pi\) | ||
0.931445 | − | 0.363883i | \(-0.118549\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −28.9208 | + | 16.6974i | −1.54809 | + | 0.893792i | −0.549805 | + | 0.835293i | \(0.685298\pi\) |
−0.998287 | + | 0.0584989i | \(0.981369\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.60331 | − | 1.21022i | −0.299082 | − | 0.0645969i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 24.4575 | + | 14.1205i | 1.30174 | + | 0.751560i | 0.980703 | − | 0.195506i | \(-0.0626348\pi\) |
0.321038 | + | 0.947066i | \(0.395968\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 11.5808 | + | 20.0585i | 0.614646 | + | 1.06460i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 8.15795 | + | 3.71756i | 0.431764 | + | 0.196754i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 4.95868 | + | 2.86289i | 0.261709 | + | 0.151098i | 0.625114 | − | 0.780534i | \(-0.285053\pi\) |
−0.363405 | + | 0.931631i | \(0.618386\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.5077 | − | 25.1281i | −0.763565 | − | 1.32253i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −5.69196 | + | 0.591964i | −0.298750 | + | 0.0310700i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.76642 | − | 6.52363i | 0.197143 | − | 0.341462i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.8969 | − | 18.8740i | 0.568813 | − | 0.985213i | −0.427871 | − | 0.903840i | \(-0.640736\pi\) |
0.996684 | − | 0.0813728i | \(-0.0259304\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 1.59409 | + | 7.58099i | 0.0829849 | + | 0.394650i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −18.4733 | − | 0.140599i | −0.959087 | − | 0.00729955i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.0200 | + | 32.9436i | 0.984817 | + | 1.70575i | 0.642745 | + | 0.766080i | \(0.277796\pi\) |
0.342073 | + | 0.939674i | \(0.388871\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −18.2654 | − | 8.15618i | −0.943220 | − | 0.421183i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 10.0129i | 0.515689i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 11.6200i | − | 0.596878i | −0.954429 | − | 0.298439i | \(-0.903534\pi\) | ||
0.954429 | − | 0.298439i | \(-0.0964660\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.1844 | + | 4.54773i | 0.521763 | + | 0.232987i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 11.6806 | + | 20.2313i | 0.596849 | + | 1.03377i | 0.993283 | + | 0.115710i | \(0.0369142\pi\) |
−0.396434 | + | 0.918063i | \(0.629752\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.49305 | + | 9.34919i | −0.279952 | + | 0.476479i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 29.4885 | + | 9.65266i | 1.49898 | + | 0.490672i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 3.31559 | − | 5.74277i | 0.168107 | − | 0.291170i | −0.769647 | − | 0.638469i | \(-0.779568\pi\) |
0.937754 | + | 0.347299i | \(0.112901\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.0315904 | + | 0.0547162i | −0.00159760 | + | 0.00276712i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 6.08101 | − | 0.632425i | 0.306746 | − | 0.0319016i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −6.19317 | − | 10.7269i | −0.311612 | − | 0.539728i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 21.0152 | + | 12.1331i | 1.05472 | + | 0.608943i | 0.923967 | − | 0.382472i | \(-0.124927\pi\) |
0.130753 | + | 0.991415i | \(0.458260\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −31.6079 | + | 3.04424i | −1.58237 | + | 0.152403i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5.84669 | − | 10.1268i | −0.291970 | − | 0.505706i | 0.682306 | − | 0.731067i | \(-0.260977\pi\) |
−0.974275 | + | 0.225361i | \(0.927644\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.672716 | − | 0.388393i | −0.0335104 | − | 0.0193472i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −5.35495 | − | 12.1702i | −0.266090 | − | 0.604744i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 9.25251 | − | 5.34194i | 0.458630 | − | 0.264790i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 30.2767i | 1.49708i | 0.663087 | + | 0.748542i | \(0.269246\pi\) | ||||
−0.663087 | + | 0.748542i | \(0.730754\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −19.5237 | − | 26.9339i | −0.963033 | − | 1.32855i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.52522 | − | 2.59593i | 0.0750512 | − | 0.127737i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −13.6838 | − | 7.90033i | −0.671710 | − | 0.387812i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 17.1242 | + | 23.6236i | 0.838574 | + | 1.15685i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 4.44019 | − | 7.69063i | 0.216917 | − | 0.375712i | −0.736947 | − | 0.675951i | \(-0.763733\pi\) |
0.953864 | + | 0.300239i | \(0.0970664\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.59052 | + | 13.1472i | 0.369939 | + | 0.640753i | 0.989556 | − | 0.144151i | \(-0.0460452\pi\) |
−0.619617 | + | 0.784905i | \(0.712712\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 8.57376 | + | 9.56406i | 0.416871 | + | 0.465021i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 5.51179i | 0.267361i | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.90815 | − | 3.47129i | −0.285916 | − | 0.167988i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −5.27255 | + | 0.548345i | −0.254561 | + | 0.0264744i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.60242 | − | 2.07986i | 0.173523 | − | 0.100183i | −0.410723 | − | 0.911760i | \(-0.634724\pi\) |
0.584246 | + | 0.811577i | \(0.301390\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 31.2165i | − | 1.50017i | −0.661343 | − | 0.750084i | \(-0.730013\pi\) | ||
0.661343 | − | 0.750084i | \(-0.269987\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −18.8038 | + | 13.6304i | −0.901572 | + | 0.653527i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 0.223786i | − | 0.0107051i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 15.5826 | 0.743717 | 0.371858 | − | 0.928289i | \(-0.378721\pi\) | ||||
0.371858 | + | 0.928289i | \(0.378721\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.83599 | + | 19.8562i | −0.325524 | + | 0.945534i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 12.4016i | 0.589218i | 0.955618 | + | 0.294609i | \(0.0951893\pi\) | ||||
−0.955618 | + | 0.294609i | \(0.904811\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −15.0762 | −0.714678 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −36.5925 | + | 3.80562i | −1.73076 | + | 0.180000i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −22.8280 | −1.07732 | −0.538660 | − | 0.842524i | \(-0.681069\pi\) | ||||
−0.538660 | + | 0.842524i | \(0.681069\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.58181 | + | 6.20388i | 0.168661 | + | 0.292129i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −20.2070 | + | 14.6476i | −0.949409 | + | 0.688203i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.18446 | − | 3.71795i | 0.102409 | − | 0.174300i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 22.0978 | 1.03369 | 0.516846 | − | 0.856078i | \(-0.327106\pi\) | ||||
0.516846 | + | 0.856078i | \(0.327106\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −6.82671 | + | 7.53205i | −0.318644 | + | 0.351566i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −20.2378 | + | 11.6843i | −0.942568 | + | 0.544192i | −0.890764 | − | 0.454465i | \(-0.849830\pi\) |
−0.0518038 | + | 0.998657i | \(0.516497\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −21.5837 | − | 12.4613i | −1.00308 | − | 0.579127i | −0.0939203 | − | 0.995580i | \(-0.529940\pi\) |
−0.909157 | + | 0.416452i | \(0.863273\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.186373 | − | 1.79205i | −0.00864284 | − | 0.0831042i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −20.1004 | + | 34.8149i | −0.930137 | + | 1.61104i | −0.147052 | + | 0.989129i | \(0.546978\pi\) |
−0.783085 | + | 0.621915i | \(0.786355\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 26.6064 | + | 15.6324i | 1.22857 | + | 0.721837i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 9.01161 | + | 4.02403i | 0.415233 | + | 0.185417i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 28.6924 | 1.31928 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −9.76135 | − | 16.9072i | −0.447881 | − | 0.775753i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 6.51660 | − | 19.9080i | 0.298375 | − | 0.911523i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −16.4450 | + | 28.4835i | −0.751390 | + | 1.30145i | 0.195759 | + | 0.980652i | \(0.437283\pi\) |
−0.947149 | + | 0.320794i | \(0.896050\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.67950 | + | 2.12436i | −0.167771 | + | 0.0968626i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −0.134673 | − | 0.0613700i | −0.00612781 | − | 0.00279243i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −5.93333 | + | 10.2768i | −0.269418 | + | 0.466646i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −15.3672 | + | 8.87224i | −0.696353 | + | 0.402040i | −0.805988 | − | 0.591932i | \(-0.798365\pi\) |
0.109634 | + | 0.993972i | \(0.465032\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −6.88221 | + | 4.98874i | −0.311224 | + | 0.225599i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 13.0636 | + | 7.54226i | 0.589551 | + | 0.340377i | 0.764920 | − | 0.644126i | \(-0.222779\pi\) |
−0.175369 | + | 0.984503i | \(0.556112\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.3769 | + | 8.87788i | 0.692543 | + | 0.399840i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −8.20722 | − | 9.15518i | −0.368887 | − | 0.411495i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 35.7632 | + | 21.0124i | 1.60420 | + | 0.942537i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.7257 | + | 6.76985i | −0.524915 | + | 0.303060i | −0.738943 | − | 0.673768i | \(-0.764675\pi\) |
0.214028 | + | 0.976827i | \(0.431342\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 1.94788 | + | 2.68719i | 0.0870247 | + | 0.120055i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −19.0537 | −0.849563 | −0.424782 | − | 0.905296i | \(-0.639649\pi\) | ||||
−0.424782 | + | 0.905296i | \(0.639649\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.30113 | 0.0578993 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −20.2991 | + | 2.11111i | −0.901515 | + | 0.0937576i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −36.3115 | + | 20.9644i | −1.60948 | + | 0.929233i | −0.619992 | + | 0.784608i | \(0.712864\pi\) |
−0.989487 | + | 0.144624i | \(0.953803\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.102671 | − | 13.4899i | 0.00454189 | − | 0.596758i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 7.60139 | − | 35.1943i | 0.335610 | − | 1.55386i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −1.37083 | − | 0.791447i | −0.0604058 | − | 0.0348753i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 10.2863 | + | 5.93880i | 0.452391 | + | 0.261188i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 37.7375 | + | 16.8513i | 1.65649 | + | 0.739688i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −16.8365 | + | 9.72055i | −0.737620 | + | 0.425865i | −0.821203 | − | 0.570636i | \(-0.806697\pi\) |
0.0835832 | + | 0.996501i | \(0.473364\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.84616 | − | 6.66175i | 0.168181 | − | 0.291298i | −0.769599 | − | 0.638527i | \(-0.779544\pi\) |
0.937780 | + | 0.347229i | \(0.112877\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −12.8515 | + | 1.23777i | −0.560886 | + | 0.0540205i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.19292 | + | 0.688735i | −0.0519646 | + | 0.0300018i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.4995 | + | 19.9177i | −0.499977 | + | 0.865986i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.27884 | + | 2.54206i | 0.0988934 | + | 0.110316i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.42440 | − | 2.46714i | −0.0616977 | − | 0.106864i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 28.0880 | 1.21435 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.74562 | − | 16.7848i | −0.0753289 | − | 0.724316i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.295579 | + | 19.4169i | −0.0127315 | + | 0.836347i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 11.0310 | − | 19.1062i | 0.474258 | − | 0.821439i | −0.525307 | − | 0.850913i | \(-0.676050\pi\) |
0.999566 | + | 0.0294732i | \(0.00938296\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 2.44379 | + | 1.09125i | 0.104873 | + | 0.0468298i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.58095 | − | 2.06746i | −0.153391 | − | 0.0885605i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.5580 | − | 11.2918i | 0.836240 | − | 0.482803i | −0.0197443 | − | 0.999805i | \(-0.506285\pi\) |
0.855984 | + | 0.517002i | \(0.172952\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.78555 | − | 5.18649i | 0.246921 | − | 0.221354i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −62.8907 | −2.67923 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −19.1254 | − | 11.2370i | −0.813296 | − | 0.477846i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −8.99832 | − | 4.01809i | −0.381957 | − | 0.170559i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −9.21343 | − | 15.9581i | −0.390386 | − | 0.676168i | 0.602115 | − | 0.798410i | \(-0.294325\pi\) |
−0.992500 | + | 0.122242i | \(0.960992\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −11.4103 | −0.482605 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.83279 | + | 8.58333i | −0.161820 | + | 0.362389i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 37.5803 | 1.58382 | 0.791910 | − | 0.610637i | \(-0.209087\pi\) | ||||
0.791910 | + | 0.610637i | \(0.209087\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 13.7909i | 0.580189i | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −19.0951 | − | 14.2260i | −0.801918 | − | 0.597435i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −31.4967 | −1.32041 | −0.660204 | − | 0.751086i | \(-0.729530\pi\) | ||||
−0.660204 | + | 0.751086i | \(0.729530\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 9.97991i | − | 0.417646i | −0.977953 | − | 0.208823i | \(-0.933037\pi\) | ||
0.977953 | − | 0.208823i | \(-0.0669633\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −2.90634 | − | 1.29779i | −0.121414 | − | 0.0542160i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 0.0909895i | − | 0.00379452i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 16.2027 | − | 9.35463i | 0.674527 | − | 0.389438i | −0.123263 | − | 0.992374i | \(-0.539336\pi\) |
0.797790 | + | 0.602936i | \(0.206003\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.32330 | − | 2.96346i | 0.0549943 | − | 0.123157i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −28.2960 | − | 0.215359i | −1.17392 | − | 0.00893460i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | − | 19.3705i | − | 0.802246i | ||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 3.26382 | + | 3.64080i | 0.134942 | + | 0.150528i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 16.4635 | + | 28.5156i | 0.679521 | + | 1.17697i | 0.975125 | + | 0.221655i | \(0.0711458\pi\) |
−0.295604 | + | 0.955311i | \(0.595521\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.43949 | − | 4.22532i | 0.100517 | − | 0.174101i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −15.0480 | + | 33.6992i | −0.618991 | + | 1.38620i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 15.3537 | + | 8.86447i | 0.630502 | + | 0.364020i | 0.780946 | − | 0.624598i | \(-0.214737\pi\) |
−0.150445 | + | 0.988618i | \(0.548071\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −3.77288 | − | 6.65122i | −0.154673 | − | 0.272673i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 35.9740 | − | 3.74130i | 1.47232 | − | 0.153121i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 29.8516i | 1.21970i | 0.792516 | + | 0.609852i | \(0.208771\pi\) | ||||
−0.792516 | + | 0.609852i | \(0.791229\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.3153 | + | 8.84232i | −0.624726 | + | 0.360686i | −0.778707 | − | 0.627388i | \(-0.784124\pi\) |
0.153981 | + | 0.988074i | \(0.450791\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −26.0542 | + | 23.3565i | −1.06101 | + | 0.951150i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.22721 | + | 2.44058i | 0.171861 | + | 0.0992238i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 21.9556 | + | 38.0282i | 0.891149 | + | 1.54352i | 0.838500 | + | 0.544902i | \(0.183433\pi\) |
0.0526491 | + | 0.998613i | \(0.483234\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −17.2469 | + | 37.8471i | −0.698878 | + | 1.53364i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.09062 | − | 2.36172i | −0.165489 | − | 0.0955450i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.8984 | + | 27.5368i | 0.642129 | + | 1.11220i | 0.984957 | + | 0.172801i | \(0.0552818\pi\) |
−0.342828 | + | 0.939398i | \(0.611385\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 2.69416 | − | 6.03345i | 0.108639 | − | 0.243292i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 4.52841 | − | 7.84343i | 0.182307 | − | 0.315765i | −0.760359 | − | 0.649503i | \(-0.774977\pi\) |
0.942666 | + | 0.333738i | \(0.108310\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.17201 | − | 12.4223i | 0.288267 | − | 0.499294i | −0.685129 | − | 0.728422i | \(-0.740254\pi\) |
0.973396 | + | 0.229128i | \(0.0735875\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.112696 | − | 0.124340i | 0.00452235 | − | 0.00498960i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −23.4842 | + | 13.3213i | −0.940874 | + | 0.533708i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.48760 | + | 2.57660i | 0.0595040 | + | 0.103064i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −3.44415 | − | 33.1168i | −0.137546 | − | 1.32256i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 7.53424i | 0.300410i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 22.0848i | − | 0.879182i | −0.898198 | − | 0.439591i | \(-0.855123\pi\) | ||
0.898198 | − | 0.439591i | \(-0.144877\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 20.3160 | − | 14.7266i | 0.807489 | − | 0.585328i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −4.75678 | − | 8.23898i | −0.188767 | − | 0.326954i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.117545 | − | 7.72166i | 0.00465730 | − | 0.305943i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −35.0211 | + | 31.3949i | −1.38541 | + | 1.24196i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 16.0436 | − | 27.7883i | 0.633683 | − | 1.09757i | −0.353110 | − | 0.935582i | \(-0.614876\pi\) |
0.986793 | − | 0.161989i | \(-0.0517909\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 20.7215 | − | 35.8906i | 0.817175 | − | 1.41539i | −0.0905805 | − | 0.995889i | \(-0.528872\pi\) |
0.907756 | − | 0.419500i | \(-0.137794\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −15.5327 | − | 21.4281i | −0.611599 | − | 0.843730i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.08629 | + | 3.61356i | 0.0820205 | + | 0.142064i | 0.904118 | − | 0.427284i | \(-0.140529\pi\) |
−0.822097 | + | 0.569347i | \(0.807196\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.73402 | + | 1.57849i | 0.107320 | + | 0.0619611i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.87377 | − | 2.62680i | −0.0734389 | − | 0.102952i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.11613 | + | 5.39730i | 0.121944 | + | 0.211213i | 0.920534 | − | 0.390662i | \(-0.127754\pi\) |
−0.798590 | + | 0.601875i | \(0.794421\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −4.51615 | − | 2.60740i | −0.176460 | − | 0.101879i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 14.5375 | + | 4.75866i | 0.567163 | + | 0.185653i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.0701 | − | 6.96869i | 0.470186 | − | 0.271462i | −0.246132 | − | 0.969236i | \(-0.579160\pi\) |
0.716317 | + | 0.697775i | \(0.245826\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 8.94427i | − | 0.347892i | −0.984755 | − | 0.173946i | \(-0.944348\pi\) | ||
0.984755 | − | 0.173946i | \(-0.0556518\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.52421 | − | 3.41339i | 0.0591954 | − | 0.132565i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 23.3524 | + | 13.7205i | 0.905567 | + | 0.532060i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.253845 | − | 0.146557i | −0.00982891 | − | 0.00567472i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 27.3318 | − | 2.84251i | 1.05671 | − | 0.109898i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 3.59253 | − | 6.22245i | 0.138688 | − | 0.240215i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 10.5409 | + | 18.2573i | 0.406321 | + | 0.703769i | 0.994474 | − | 0.104981i | \(-0.0334782\pi\) |
−0.588153 | + | 0.808749i | \(0.700145\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.09066 | − | 14.3097i | 0.118960 | − | 0.550781i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 42.2089i | 1.62222i | 0.584894 | + | 0.811110i | \(0.301136\pi\) | ||||
−0.584894 | + | 0.811110i | \(0.698864\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.161740 | + | 21.2509i | −0.00620700 | + | 0.815536i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −19.6898 | − | 27.1630i | −0.754515 | − | 1.04089i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 25.4778 | − | 14.7096i | 0.974880 | − | 0.562847i | 0.0741597 | − | 0.997246i | \(-0.476373\pi\) |
0.900721 | + | 0.434399i | \(0.143039\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 28.3742i | 1.08412i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −3.64365 | − | 35.0351i | −0.139014 | − | 1.33667i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.70321i | 0.293469i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 35.2505 | 1.34099 | 0.670496 | − | 0.741913i | \(-0.266081\pi\) | ||||
0.670496 | + | 0.741913i | \(0.266081\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −20.8739 | − | 7.00914i | −0.792935 | − | 0.266255i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − | 24.8869i | − | 0.944013i | ||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.05177 | −0.191349 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 26.8456 | + | 37.0348i | 1.01539 | + | 1.40078i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −21.2983 | −0.804426 | −0.402213 | − | 0.915546i | \(-0.631759\pi\) | ||||
−0.402213 | + | 0.915546i | \(0.631759\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.3431 | − | 23.1109i | −0.503244 | − | 0.871644i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.13329 | − | 10.8970i | −0.0426821 | − | 0.410404i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 2.02677 | − | 1.14968i | 0.0762244 | − | 0.0432381i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 52.3922 | 1.96763 | 0.983815 | − | 0.179185i | \(-0.0573462\pi\) | ||||
0.983815 | + | 0.179185i | \(0.0573462\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 18.7285 | − | 16.7893i | 0.702375 | − | 0.629648i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.0196930 | − | 0.0113697i | 0.000737507 | − | 0.000425800i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.91574 | + | 2.26075i | 0.146440 | + | 0.0845473i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −8.53962 | + | 6.19016i | −0.318918 | + | 0.231176i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.03467 | − | 3.52415i | 0.0758802 | − | 0.131428i | −0.825588 | − | 0.564273i | \(-0.809157\pi\) |
0.901469 | + | 0.432844i | \(0.142490\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.83467 | − | 0.0215745i | −0.105568 | − | 0.000803475i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.840514 | − | 0.609268i | 0.0312591 | − | 0.0226589i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −25.5709 | −0.949678 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 6.63112 | + | 11.4854i | 0.245935 | + | 0.425971i | 0.962394 | − | 0.271658i | \(-0.0875718\pi\) |
−0.716459 | + | 0.697629i | \(0.754238\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 21.9470 | − | 15.7267i | 0.812852 | − | 0.582471i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −10.1169 | + | 17.5230i | −0.374188 | + | 0.648112i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 39.4414 | − | 22.7715i | 1.45680 | − | 0.841084i | 0.457948 | − | 0.888979i | \(-0.348585\pi\) |
0.998852 | + | 0.0478949i | \(0.0152513\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 14.6610 | − | 10.2906i | 0.540778 | − | 0.379576i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −16.1784 | + | 28.0217i | −0.595938 | + | 1.03219i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 32.1653 | − | 18.5707i | 1.18322 | − | 0.683133i | 0.226464 | − | 0.974020i | \(-0.427284\pi\) |
0.956758 | + | 0.290886i | \(0.0939502\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.36966 | + | 13.1698i | 0.0503156 | + | 0.483804i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 15.9963 | + | 9.23546i | 0.586847 | + | 0.338816i | 0.763850 | − | 0.645394i | \(-0.223307\pi\) |
−0.177003 | + | 0.984210i | \(0.556640\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 27.1759 | + | 15.6900i | 0.995649 | + | 0.574838i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 9.98162 | − | 30.4935i | 0.365208 | − | 1.11570i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 43.7527 | − | 24.8186i | 1.59869 | − | 0.906852i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.6822 | + | 9.63147i | −0.608742 | + | 0.351457i | −0.772473 | − | 0.635048i | \(-0.780980\pi\) |
0.163731 | + | 0.986505i | \(0.447647\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −10.4095 | + | 23.3115i | −0.379342 | + | 0.849517i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 21.2876 | 0.774735 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 8.29756 | 0.301580 | 0.150790 | − | 0.988566i | \(-0.451818\pi\) | ||||
0.150790 | + | 0.988566i | \(0.451818\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.0632722 | − | 0.141695i | 0.00229663 | − | 0.00514320i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −13.2960 | + | 7.67646i | −0.481980 | + | 0.278272i | −0.721241 | − | 0.692684i | \(-0.756428\pi\) |
0.239261 | + | 0.970955i | \(0.423095\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.40488 | − | 0.0563581i | −0.268075 | − | 0.00204030i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 8.48509 | − | 1.78420i | 0.306779 | − | 0.0645078i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.08726 | − | 0.627728i | −0.0392585 | − | 0.0226659i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −32.4625 | − | 18.7422i | −1.17063 | − | 0.675862i | −0.216800 | − | 0.976216i | \(-0.569562\pi\) |
−0.953828 | + | 0.300354i | \(0.902895\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.93557 | − | 28.2266i | −0.105722 | − | 1.01656i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −36.9329 | + | 21.3232i | −1.32838 | + | 0.766942i | −0.985050 | − | 0.172271i | \(-0.944889\pi\) |
−0.343334 | + | 0.939214i | \(0.611556\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.991877 | − | 1.71798i | 0.0356293 | − | 0.0617117i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −17.5671 | + | 1.69194i | −0.630217 | + | 0.0606980i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 15.4960 | − | 8.94664i | 0.555203 | − | 0.320547i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −21.7463 | + | 37.6657i | −0.778144 | + | 1.34779i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −34.9434 | − | 31.6712i | −1.24878 | − | 1.13183i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −4.20901 | − | 7.29021i | −0.150226 | − | 0.260199i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.1499 | −0.646972 | −0.323486 | − | 0.946233i | \(-0.604855\pi\) | ||||
−0.323486 | + | 0.946233i | \(0.604855\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 8.29350 | − | 6.01175i | 0.295257 | − | 0.214024i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.1857 | + | 21.4822i | 0.433274 | + | 0.763819i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −1.42866 | + | 2.47452i | −0.0507334 | + | 0.0878728i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −14.4663 | + | 10.4863i | −0.513067 | + | 0.371909i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 30.3572 | + | 17.5268i | 1.07531 | + | 0.620830i | 0.929627 | − | 0.368502i | \(-0.120129\pi\) |
0.145681 | + | 0.989332i | \(0.453463\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.25387 | + | 4.18802i | −0.256623 | + | 0.148162i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −6.29966 | − | 29.9592i | −0.222587 | − | 1.05856i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 14.1451 | 0.499169 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.0622833 | + | 0.109799i | 0.00219520 | + | 0.00386992i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 1.87923 | + | 18.0696i | 0.0661522 | + | 0.636078i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −18.5834 | − | 32.1874i | −0.653358 | − | 1.13165i | −0.982303 | − | 0.187300i | \(-0.940026\pi\) |
0.328945 | − | 0.944349i | \(-0.393307\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 13.3687 | 0.469439 | 0.234720 | − | 0.972063i | \(-0.424583\pi\) | ||||
0.234720 | + | 0.972063i | \(0.424583\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.48798 | − | 10.3300i | −0.262615 | − | 0.362290i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7.25023 | 0.253964 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − | 71.6679i | − | 2.50734i | ||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8.30107 | + | 2.78737i | 0.290063 | + | 0.0973985i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −21.7944 | −0.760629 | −0.380315 | − | 0.924857i | \(-0.624184\pi\) | ||||
−0.380315 | + | 0.924857i | \(0.624184\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 13.5246i | − | 0.471439i | −0.971821 | − | 0.235719i | \(-0.924255\pi\) | ||
0.971821 | − | 0.235719i | \(-0.0757446\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −1.40036 | − | 13.4650i | −0.0487544 | − | 0.468792i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 45.6866i | 1.58868i | 0.607474 | + | 0.794339i | \(0.292183\pi\) | ||||
−0.607474 | + | 0.794339i | \(0.707817\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −30.2094 | + | 17.4414i | −1.04922 | + | 0.605766i | −0.922430 | − | 0.386164i | \(-0.873800\pi\) |
−0.126787 | + | 0.991930i | \(0.540466\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.80486 | − | 2.48989i | −0.0626099 | − | 0.0863733i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −11.7541 | − | 7.02690i | −0.407254 | − | 0.243468i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 2.83089i | − | 0.0979669i | ||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 3.48326 | − | 1.11918i | 0.120399 | − | 0.0386844i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −6.74592 | − | 11.6843i | −0.232895 | − | 0.403386i | 0.725764 | − | 0.687944i | \(-0.241487\pi\) |
−0.958659 | + | 0.284558i | \(0.908153\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −26.6871 | + | 46.2235i | −0.920246 | + | 1.59391i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −7.17563 | + | 0.746266i | −0.247142 | + | 0.0257028i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 15.0754 | + | 8.70380i | 0.518610 | + | 0.299420i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 8.74125 | + | 0.0665291i | 0.300353 | + | 0.00228597i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −2.40650 | + | 5.38925i | −0.0825910 | + | 0.184958i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 0.124376i | − | 0.00426356i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 25.7099 | − | 14.8436i | 0.880291 | − | 0.508236i | 0.00953667 | − | 0.999955i | \(-0.496964\pi\) |
0.870754 | + | 0.491718i | \(0.163631\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −22.8678 | + | 20.5000i | −0.782062 | + | 0.701084i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −22.0886 | − | 12.7529i | −0.754534 | − | 0.435630i | 0.0727959 | − | 0.997347i | \(-0.476808\pi\) |
−0.827330 | + | 0.561717i | \(0.810141\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 1.31398 | + | 2.27588i | 0.0448324 | + | 0.0776521i | 0.887571 | − | 0.460671i | \(-0.152391\pi\) |
−0.842738 | + | 0.538323i | \(0.819058\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −1.13446 | − | 11.7789i | −0.0386622 | − | 0.401423i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −29.6590 | − | 17.1237i | −1.00961 | − | 0.582896i | −0.0985294 | − | 0.995134i | \(-0.531414\pi\) |
−0.911076 | + | 0.412238i | \(0.864747\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −17.6259 | − | 30.5289i | −0.599298 | − | 1.03801i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 13.3907 | + | 18.4731i | 0.454771 | + | 0.627378i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 11.6295 | − | 20.1428i | 0.394503 | − | 0.683299i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.43375 | − | 11.1436i | 0.217999 | − | 0.377586i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −22.9013 | − | 7.49643i | −0.775091 | − | 0.253716i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 26.3453 | + | 15.4790i | 0.890635 | + | 0.523286i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.7909 | + | 30.8147i | 0.600754 | + | 1.04054i | 0.992707 | + | 0.120552i | \(0.0384664\pi\) |
−0.391953 | + | 0.919985i | \(0.628200\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −26.2218 | + | 19.0075i | −0.884440 | + | 0.641109i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 40.8828i | − | 1.37738i | −0.725058 | − | 0.688688i | \(-0.758187\pi\) | ||
0.725058 | − | 0.688688i | \(-0.241813\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 13.9504i | − | 0.469468i | −0.972060 | − | 0.234734i | \(-0.924578\pi\) | ||
0.972060 | − | 0.234734i | \(-0.0754219\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −0.301219 | − | 2.89634i | −0.0101254 | − | 0.0973594i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14.9999 | + | 25.9805i | 0.503646 | + | 0.872340i | 0.999991 | + | 0.00421500i | \(0.00134168\pi\) |
−0.496345 | + | 0.868125i | \(0.665325\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −14.6896 | − | 8.63079i | −0.492675 | − | 0.289467i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 14.7637 | − | 20.1349i | 0.494601 | − | 0.674543i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 14.8339 | − | 25.6931i | 0.496398 | − | 0.859787i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.19693 | + | 12.4655i | −0.240567 | + | 0.416674i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.0251619 | + | 0.0563487i | −0.000840130 | + | 0.00188143i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −3.19525 | − | 5.53433i | −0.106567 | − | 0.184580i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.8299 | + | 6.83002i | 0.394113 | + | 0.227541i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −43.1292 | − | 19.6539i | −1.43525 | − | 0.654041i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −1.14141 | − | 1.97698i | −0.0379417 | − | 0.0657170i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 34.8441 | + | 20.1173i | 1.15698 | + | 0.667983i | 0.950578 | − | 0.310485i | \(-0.100491\pi\) |
0.206401 | + | 0.978467i | \(0.433825\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.543683 | + | 2.58559i | 0.0180328 | + | 0.0857585i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 16.1689 | − | 9.33513i | 0.535700 | − | 0.309287i | −0.207634 | − | 0.978206i | \(-0.566576\pi\) |
0.743334 | + | 0.668920i | \(0.233243\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 29.6703i | − | 0.981943i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −6.59187 | + | 0.685555i | −0.217920 | + | 0.0226637i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −9.33872 | − | 0.0710764i | −0.308392 | − | 0.00234715i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −16.6056 | − | 9.58726i | −0.547769 | − | 0.316254i | 0.200453 | − | 0.979703i | \(-0.435759\pi\) |
−0.748222 | + | 0.663449i | \(0.769092\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −9.22509 | + | 20.6591i | −0.303977 | + | 0.680742i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 8.64799 | − | 14.9788i | 0.284652 | − | 0.493032i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −5.42519 | − | 9.39671i | −0.178379 | − | 0.308962i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.999949 | − | 3.05480i | 0.0328426 | − | 0.100333i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 32.8222i | − | 1.07686i | −0.842669 | − | 0.538431i | \(-0.819017\pi\) | ||
0.842669 | − | 0.538431i | \(-0.180983\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 48.4996 | + | 0.738298i | 1.58951 | + | 0.0241967i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 21.8037 | − | 48.8283i | 0.713822 | − | 1.59857i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.94375 | − | 4.00897i | 0.227085 | − | 0.131107i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 5.98141i | 0.195404i | 0.995216 | + | 0.0977020i | \(0.0311492\pi\) | ||||
−0.995216 | + | 0.0977020i | \(0.968851\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −25.2730 | − | 11.2854i | −0.824753 | − | 0.368283i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | − | 25.2347i | − | 0.822629i | −0.911494 | − | 0.411314i | \(-0.865070\pi\) | ||
0.911494 | − | 0.411314i | \(-0.134930\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.0833953 | 0.00271572 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 6.06557 | + | 19.3835i | 0.197313 | + | 0.630545i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − | 8.61244i | − | 0.279867i | −0.990161 | − | 0.139933i | \(-0.955311\pi\) | ||
0.990161 | − | 0.139933i | \(-0.0446888\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −5.62516 | −0.182601 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2.61976 | − | 5.86681i | 0.0849514 | − | 0.190244i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 12.1465 | 0.393463 | 0.196731 | − | 0.980457i | \(-0.436967\pi\) | ||||
0.196731 | + | 0.980457i | \(0.436967\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.35745 | + | 2.35117i | 0.0439260 | + | 0.0760821i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −39.8206 | − | 17.7814i | −1.28722 | − | 0.574792i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 25.0715 | + | 44.1985i | 0.809600 | + | 1.42724i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.5042 | −0.984008 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 11.7367 | + | 55.8162i | 0.378210 | + | 1.79865i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −2.39738 | + | 1.38413i | −0.0771743 | + | 0.0445566i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.8574 | + | 6.26853i | 0.349151 | + | 0.201582i | 0.664311 | − | 0.747456i | \(-0.268725\pi\) |
−0.315160 | + | 0.949038i | \(0.602058\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 21.4394 | + | 9.57353i | 0.688734 | + | 0.307546i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.23493 | + | 2.13896i | −0.0396308 | + | 0.0686426i | −0.885160 | − | 0.465286i | \(-0.845952\pi\) |
0.845530 | + | 0.533929i | \(0.179285\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −21.9901 | − | 38.7664i | −0.704970 | − | 1.24279i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.556891 | + | 5.35472i | 0.0178348 | + | 0.171488i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 41.3188 | 1.32191 | 0.660953 | − | 0.750428i | \(-0.270152\pi\) | ||||
0.660953 | + | 0.750428i | \(0.270152\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.1549 | − | 24.5170i | −0.452393 | − | 0.783568i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 2.61213 | − | 7.97994i | 0.0833988 | − | 0.254780i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 4.40445 | − | 7.62872i | 0.140480 | − | 0.243319i | −0.787197 | − | 0.616701i | \(-0.788469\pi\) |
0.927677 | + | 0.373382i | \(0.121802\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 27.2620 | − | 15.7397i | 0.868639 | − | 0.501509i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −11.3939 | − | 15.9729i | −0.362673 | − | 0.508423i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 0.167011 | − | 0.289272i | 0.00531065 | − | 0.00919832i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.1527 | + | 13.3672i | −0.735470 | + | 0.424624i | −0.820420 | − | 0.571761i | \(-0.806260\pi\) |
0.0849498 | + | 0.996385i | \(0.472927\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 44.0438 | + | 19.6672i | 1.39769 | + | 0.624120i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −26.7166 | − | 15.4248i | −0.846973 | − | 0.489000i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −26.4192 | − | 15.2531i | −0.836705 | − | 0.483072i | 0.0194379 | − | 0.999811i | \(-0.493812\pi\) |
−0.856143 | + | 0.516739i | \(0.827146\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.22472 | − | 19.5604i | 0.133664 | − | 0.618863i |
(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 | 1008.2.cz.h.607.7 | yes | 24 | |
3.2 | odd | 2 | 3024.2.cz.g.1279.8 | 24 | |||
4.3 | odd | 2 | 1008.2.cz.g.607.6 | yes | 24 | ||
7.3 | odd | 6 | 1008.2.bf.h.31.12 | yes | 24 | ||
9.2 | odd | 6 | 3024.2.bf.h.2287.8 | 24 | |||
9.7 | even | 3 | 1008.2.bf.g.943.1 | yes | 24 | ||
12.11 | even | 2 | 3024.2.cz.h.1279.8 | 24 | |||
21.17 | even | 6 | 3024.2.bf.g.1711.5 | 24 | |||
28.3 | even | 6 | 1008.2.bf.g.31.1 | ✓ | 24 | ||
36.7 | odd | 6 | 1008.2.bf.h.943.12 | yes | 24 | ||
36.11 | even | 6 | 3024.2.bf.g.2287.8 | 24 | |||
63.38 | even | 6 | 3024.2.cz.h.2719.8 | 24 | |||
63.52 | odd | 6 | 1008.2.cz.g.367.6 | yes | 24 | ||
84.59 | odd | 6 | 3024.2.bf.h.1711.5 | 24 | |||
252.115 | even | 6 | inner | 1008.2.cz.h.367.7 | yes | 24 | |
252.227 | odd | 6 | 3024.2.cz.g.2719.8 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1008.2.bf.g.31.1 | ✓ | 24 | 28.3 | even | 6 | ||
1008.2.bf.g.943.1 | yes | 24 | 9.7 | even | 3 | ||
1008.2.bf.h.31.12 | yes | 24 | 7.3 | odd | 6 | ||
1008.2.bf.h.943.12 | yes | 24 | 36.7 | odd | 6 | ||
1008.2.cz.g.367.6 | yes | 24 | 63.52 | odd | 6 | ||
1008.2.cz.g.607.6 | yes | 24 | 4.3 | odd | 2 | ||
1008.2.cz.h.367.7 | yes | 24 | 252.115 | even | 6 | inner | |
1008.2.cz.h.607.7 | yes | 24 | 1.1 | even | 1 | trivial | |
3024.2.bf.g.1711.5 | 24 | 21.17 | even | 6 | |||
3024.2.bf.g.2287.8 | 24 | 36.11 | even | 6 | |||
3024.2.bf.h.1711.5 | 24 | 84.59 | odd | 6 | |||
3024.2.bf.h.2287.8 | 24 | 9.2 | odd | 6 | |||
3024.2.cz.g.1279.8 | 24 | 3.2 | odd | 2 | |||
3024.2.cz.g.2719.8 | 24 | 252.227 | odd | 6 | |||
3024.2.cz.h.1279.8 | 24 | 12.11 | even | 2 | |||
3024.2.cz.h.2719.8 | 24 | 63.38 | even | 6 |