Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1040,2,Mod(641,1040)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1040, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1040.641");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1040 = 2^{4} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1040.da (of order \(6\), degree \(2\), not 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: | \(8.30444181021\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.22581504.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 4x^{7} + 5x^{6} + 2x^{5} - 11x^{4} + 4x^{3} + 20x^{2} - 32x + 16 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 881.1 | ||
Root | \(1.20036 + 0.747754i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1040.881 |
Dual form | 1040.2.da.b.641.1 |
$q$-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 \(\left(\mathbb{Z}/1040\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(417\) | \(561\) | \(911\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −1.41342 | − | 2.44811i | −0.816038 | − | 1.41342i | −0.908580 | − | 0.417710i | \(-0.862833\pi\) |
0.0925423 | − | 0.995709i | \(-0.470501\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.64996 | + | 0.952606i | 0.623627 | + | 0.360051i | 0.778280 | − | 0.627918i | \(-0.216093\pi\) |
−0.154653 | + | 0.987969i | \(0.549426\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.49551 | + | 4.32235i | −0.831836 | + | 1.44078i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.926118 | + | 0.534695i | −0.279235 | + | 0.161217i | −0.633077 | − | 0.774089i | \(-0.718208\pi\) |
0.353842 | + | 0.935305i | \(0.384875\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.40072 | − | 3.32235i | 0.388490 | − | 0.921453i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.44811 | − | 1.41342i | 0.632100 | − | 0.364943i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.318632 | − | 0.551886i | 0.0772795 | − | 0.133852i | −0.824796 | − | 0.565431i | \(-0.808710\pi\) |
0.902075 | + | 0.431579i | \(0.142043\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.96410 | − | 2.86603i | −1.13884 | − | 0.657511i | −0.192699 | − | 0.981258i | \(-0.561724\pi\) |
−0.946144 | + | 0.323747i | \(0.895057\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 5.38573i | − | 1.17526i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.90893 | − | 3.30636i | −0.398039 | − | 0.689423i | 0.595445 | − | 0.803396i | \(-0.296976\pi\) |
−0.993484 | + | 0.113973i | \(0.963642\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.62828 | 1.08316 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.72756 | − | 8.18837i | −0.877886 | − | 1.52054i | −0.853657 | − | 0.520836i | \(-0.825620\pi\) |
−0.0242288 | − | 0.999706i | \(-0.507713\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 1.46410i | − | 0.262960i | −0.991319 | − | 0.131480i | \(-0.958027\pi\) | ||
0.991319 | − | 0.131480i | \(-0.0419730\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.61799 | + | 1.51150i | 0.455733 | + | 0.263118i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.952606 | + | 1.64996i | −0.161020 | + | 0.278895i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.655970 | − | 0.378725i | 0.107841 | − | 0.0622619i | −0.445110 | − | 0.895476i | \(-0.646835\pi\) |
0.552950 | + | 0.833214i | \(0.313502\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −10.1133 | + | 1.26675i | −1.61942 | + | 0.202842i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.232051 | + | 0.133975i | −0.0362402 | + | 0.0209233i | −0.518011 | − | 0.855374i | \(-0.673327\pi\) |
0.481770 | + | 0.876297i | \(0.339994\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.318632 | + | 0.551886i | −0.0485909 | + | 0.0841618i | −0.889298 | − | 0.457328i | \(-0.848806\pi\) |
0.840707 | + | 0.541490i | \(0.182140\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −4.32235 | − | 2.49551i | −0.644337 | − | 0.372008i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 9.44613i | 1.37786i | 0.724828 | + | 0.688930i | \(0.241919\pi\) | ||||
−0.724828 | + | 0.688930i | \(0.758081\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.68508 | − | 2.91865i | −0.240726 | − | 0.416950i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.80144 | −0.252252 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.99102 | −0.960290 | −0.480145 | − | 0.877189i | \(-0.659416\pi\) | ||||
−0.480145 | + | 0.877189i | \(0.659416\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.534695 | − | 0.926118i | −0.0720982 | − | 0.124878i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 16.2036i | 2.14622i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.641756 | + | 0.370518i | 0.0835495 | + | 0.0482373i | 0.541193 | − | 0.840899i | \(-0.317973\pi\) |
−0.457643 | + | 0.889136i | \(0.651306\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.09928 | + | 3.63606i | −0.268785 | + | 0.465550i | −0.968548 | − | 0.248825i | \(-0.919956\pi\) |
0.699763 | + | 0.714375i | \(0.253289\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.23499 | + | 4.75447i | −1.03751 | + | 0.599007i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 3.32235 | + | 1.40072i | 0.412086 | + | 0.173738i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.01029 | − | 4.04739i | 0.856443 | − | 0.494468i | −0.00637624 | − | 0.999980i | \(-0.502030\pi\) |
0.862820 | + | 0.505512i | \(0.168696\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.39623 | + | 9.34654i | −0.649629 | + | 1.12519i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −8.45663 | − | 4.88244i | −1.00362 | − | 0.579439i | −0.0943010 | − | 0.995544i | \(-0.530062\pi\) |
−0.909317 | + | 0.416105i | \(0.863395\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 3.71649i | − | 0.434982i | −0.976062 | − | 0.217491i | \(-0.930213\pi\) | ||
0.976062 | − | 0.217491i | \(-0.0697873\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.41342 | + | 2.44811i | 0.163208 | + | 0.282684i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.03741 | −0.232185 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.31937 | 1.04851 | 0.524255 | − | 0.851561i | \(-0.324344\pi\) | ||||
0.524255 | + | 0.851561i | \(0.324344\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.468594 | − | 0.811629i | −0.0520660 | − | 0.0901809i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.11778i | 0.561749i | 0.959744 | + | 0.280875i | \(0.0906245\pi\) | ||||
−0.959744 | + | 0.280875i | \(0.909376\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.551886 | + | 0.318632i | 0.0598605 | + | 0.0345605i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −13.3640 | + | 23.1472i | −1.43278 | + | 2.48164i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −10.8932 | + | 6.28917i | −1.15467 | + | 0.666650i | −0.950021 | − | 0.312185i | \(-0.898939\pi\) |
−0.204651 | + | 0.978835i | \(0.565606\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.47602 | − | 4.14741i | 0.574043 | − | 0.434767i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.58429 | + | 2.06939i | −0.371673 | + | 0.214586i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.86603 | − | 4.96410i | 0.294048 | − | 0.509306i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.65597 | − | 2.11078i | −0.371208 | − | 0.214317i | 0.302778 | − | 0.953061i | \(-0.402086\pi\) |
−0.673986 | + | 0.738744i | \(0.735419\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 5.33734i | − | 0.536423i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.62379 | − | 13.2048i | −0.758595 | − | 1.31393i | −0.943567 | − | 0.331181i | \(-0.892553\pi\) |
0.184972 | − | 0.982744i | \(-0.440781\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.5269 | −1.33285 | −0.666423 | − | 0.745574i | \(-0.732176\pi\) | ||||
−0.666423 | + | 0.745574i | \(0.732176\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.38573 | 0.525593 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.68137 | − | 6.37632i | −0.355891 | − | 0.616422i | 0.631379 | − | 0.775475i | \(-0.282489\pi\) |
−0.987270 | + | 0.159053i | \(0.949156\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 10.0760i | − | 0.965103i | −0.875868 | − | 0.482551i | \(-0.839710\pi\) | ||
0.875868 | − | 0.482551i | \(-0.160290\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1.85432 | − | 1.07059i | −0.176004 | − | 0.101616i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.34403 | − | 5.79203i | 0.314580 | − | 0.544868i | −0.664768 | − | 0.747050i | \(-0.731470\pi\) |
0.979348 | + | 0.202181i | \(0.0648030\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.30636 | − | 1.90893i | 0.308320 | − | 0.178008i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 10.8648 | + | 14.3453i | 1.00445 | + | 1.32623i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.05146 | − | 0.607061i | 0.0963872 | − | 0.0556492i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.92820 | + | 8.53590i | −0.448018 | + | 0.775991i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0.655970 | + | 0.378725i | 0.0591468 | + | 0.0341484i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.744750 | − | 1.28994i | −0.0660859 | − | 0.114464i | 0.831089 | − | 0.556139i | \(-0.187718\pi\) |
−0.897175 | + | 0.441675i | \(0.854384\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.80144 | 0.158608 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.12676 | −0.360557 | −0.180278 | − | 0.983616i | \(-0.557700\pi\) | ||||
−0.180278 | + | 0.983616i | \(0.557700\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.46039 | − | 9.45767i | −0.473476 | − | 0.820084i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.62828i | 0.484405i | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 17.4155 | + | 10.0548i | 1.48790 | + | 0.859041i | 0.999905 | − | 0.0138029i | \(-0.00439372\pi\) |
0.487999 | + | 0.872844i | \(0.337727\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.4126 | − | 18.0352i | 0.883189 | − | 1.52973i | 0.0354130 | − | 0.999373i | \(-0.488725\pi\) |
0.847776 | − | 0.530355i | \(-0.177941\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 23.1252 | − | 13.3513i | 1.94749 | − | 1.12439i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.479208 | + | 3.82584i | 0.0400734 | + | 0.319933i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.18837 | − | 4.72756i | 0.680007 | − | 0.392602i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −4.76346 | + | 8.25055i | −0.392883 | + | 0.680494i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 11.5768 | + | 6.68388i | 0.948410 | + | 0.547565i | 0.892587 | − | 0.450876i | \(-0.148888\pi\) |
0.0558233 | + | 0.998441i | \(0.482222\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 18.2984i | − | 1.48910i | −0.667567 | − | 0.744550i | \(-0.732664\pi\) | ||
0.667567 | − | 0.744550i | \(-0.267336\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.59030 | + | 2.75447i | 0.128568 | + | 0.222686i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.46410 | 0.117599 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.42229 | 0.193320 | 0.0966599 | − | 0.995317i | \(-0.469184\pi\) | ||||
0.0966599 | + | 0.995317i | \(0.469184\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 9.88124 | + | 17.1148i | 0.783633 | + | 1.35729i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 7.27382i | − | 0.573258i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 13.8416 | + | 7.99144i | 1.08416 | + | 0.625938i | 0.932015 | − | 0.362421i | \(-0.118050\pi\) |
0.152142 | + | 0.988359i | \(0.451383\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −1.51150 | + | 2.61799i | −0.117670 | + | 0.203810i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 12.4648 | − | 7.19658i | 0.964558 | − | 0.556888i | 0.0669853 | − | 0.997754i | \(-0.478662\pi\) |
0.897573 | + | 0.440866i | \(0.145329\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.07597 | − | 9.30735i | −0.698151 | − | 0.715950i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 24.7759 | − | 14.3044i | 1.89466 | − | 1.09388i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −12.1745 | + | 21.0868i | −0.925608 | + | 1.60320i | −0.135027 | + | 0.990842i | \(0.543112\pi\) |
−0.790581 | + | 0.612358i | \(0.790221\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.64996 | − | 0.952606i | −0.124725 | − | 0.0720103i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 2.09479i | − | 0.157454i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −1.89414 | − | 3.28075i | −0.141575 | − | 0.245215i | 0.786515 | − | 0.617571i | \(-0.211883\pi\) |
−0.928090 | + | 0.372356i | \(0.878550\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.48794 | 0.630904 | 0.315452 | − | 0.948942i | \(-0.397844\pi\) | ||||
0.315452 | + | 0.948942i | \(0.397844\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 11.8687 | 0.877356 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.378725 | + | 0.655970i | 0.0278444 | + | 0.0482279i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.681482i | 0.0498349i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 9.28645 | + | 5.36153i | 0.675490 | + | 0.389994i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.72155 | + | 4.71386i | −0.196924 | + | 0.341083i | −0.947530 | − | 0.319668i | \(-0.896429\pi\) |
0.750605 | + | 0.660751i | \(0.229762\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 10.5288 | − | 6.07880i | 0.757879 | − | 0.437562i | −0.0706548 | − | 0.997501i | \(-0.522509\pi\) |
0.828534 | + | 0.559939i | \(0.189176\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −1.26675 | − | 10.1133i | −0.0907135 | − | 0.724227i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 3.79172 | − | 2.18915i | 0.270149 | − | 0.155970i | −0.358807 | − | 0.933412i | \(-0.616816\pi\) |
0.628955 | + | 0.777442i | \(0.283483\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.4186 | + | 18.0456i | −0.738558 | + | 1.27922i | 0.214586 | + | 0.976705i | \(0.431160\pi\) |
−0.953144 | + | 0.302516i | \(0.902174\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −19.8170 | − | 11.4413i | −1.39778 | − | 0.807009i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − | 18.0140i | − | 1.26434i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.133975 | − | 0.232051i | −0.00935719 | − | 0.0162071i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 19.0550 | 1.32441 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.12979 | 0.424007 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −5.32684 | − | 9.22635i | −0.366715 | − | 0.635168i | 0.622335 | − | 0.782751i | \(-0.286184\pi\) |
−0.989050 | + | 0.147583i | \(0.952851\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 27.6037i | 1.89138i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.551886 | − | 0.318632i | −0.0376383 | − | 0.0217305i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.39471 | − | 2.41571i | 0.0946792 | − | 0.163989i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −9.09839 | + | 5.25296i | −0.614812 | + | 0.354962i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.38724 | − | 1.83164i | −0.0933161 | − | 0.123210i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.4804 | − | 10.6697i | 1.23754 | − | 0.714494i | 0.268949 | − | 0.963155i | \(-0.413324\pi\) |
0.968591 | + | 0.248661i | \(0.0799905\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.49551 | − | 4.32235i | 0.166367 | − | 0.288156i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −13.5842 | − | 7.84283i | −0.901613 | − | 0.520547i | −0.0238900 | − | 0.999715i | \(-0.507605\pi\) |
−0.877723 | + | 0.479168i | \(0.840938\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 7.62085i | − | 0.503600i | −0.967779 | − | 0.251800i | \(-0.918977\pi\) | ||
0.967779 | − | 0.251800i | \(-0.0810225\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.87972 | + | 4.98782i | 0.189472 | + | 0.328175i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 19.0550 | 1.24833 | 0.624166 | − | 0.781292i | \(-0.285439\pi\) | ||||
0.624166 | + | 0.781292i | \(0.285439\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.44613 | −0.616198 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −13.1722 | − | 22.8149i | −0.855625 | − | 1.48199i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.7535i | 0.824954i | 0.910968 | + | 0.412477i | \(0.135336\pi\) | ||||
−0.910968 | + | 0.412477i | \(0.864664\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −22.4550 | − | 12.9644i | −1.44646 | − | 0.835111i | −0.448187 | − | 0.893940i | \(-0.647930\pi\) |
−0.998268 | + | 0.0588285i | \(0.981263\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.11778 | − | 12.3284i | 0.456606 | − | 0.790864i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.91865 | − | 1.68508i | 0.186466 | − | 0.107656i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −16.4752 | + | 12.4780i | −1.04829 | + | 0.793954i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 12.5289 | − | 7.23357i | 0.793987 | − | 0.458409i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −3.80593 | + | 6.59207i | −0.240228 | + | 0.416088i | −0.960779 | − | 0.277314i | \(-0.910556\pi\) |
0.720551 | + | 0.693402i | \(0.243889\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.53578 | + | 2.04139i | 0.222293 | + | 0.128341i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | − | 1.80144i | − | 0.112811i | ||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 0.167891 | + | 0.290796i | 0.0104728 | + | 0.0181394i | 0.871214 | − | 0.490903i | \(-0.163333\pi\) |
−0.860742 | + | 0.509042i | \(0.830000\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.44310 | 0.0896700 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 47.1906 | 2.92103 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.68795 | − | 4.65566i | −0.165746 | − | 0.287080i | 0.771174 | − | 0.636624i | \(-0.219670\pi\) |
−0.936920 | + | 0.349544i | \(0.886336\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 6.99102i | − | 0.429455i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 30.7932 | + | 17.7785i | 1.88451 | + | 1.08802i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.655192 | − | 1.13483i | 0.0399478 | − | 0.0691916i | −0.845360 | − | 0.534197i | \(-0.820614\pi\) |
0.885308 | + | 0.465005i | \(0.153948\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.0851 | − | 5.82266i | 0.612629 | − | 0.353701i | −0.161365 | − | 0.986895i | \(-0.551590\pi\) |
0.773994 | + | 0.633194i | \(0.218256\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −17.8933 | − | 7.54390i | −1.08295 | − | 0.456577i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0.926118 | − | 0.534695i | 0.0558470 | − | 0.0322433i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −10.1581 | + | 17.5943i | −0.610338 | + | 1.05714i | 0.380845 | + | 0.924639i | \(0.375633\pi\) |
−0.991183 | + | 0.132498i | \(0.957700\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.32835 | + | 3.65368i | 0.378869 | + | 0.218740i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 11.8744i | − | 0.708366i | −0.935176 | − | 0.354183i | \(-0.884759\pi\) | ||
0.935176 | − | 0.354183i | \(-0.115241\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 11.3261 | + | 19.6173i | 0.673264 | + | 1.16613i | 0.976973 | + | 0.213363i | \(0.0684418\pi\) |
−0.303709 | + | 0.952765i | \(0.598225\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −16.2036 | −0.959817 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.510500 | −0.0301339 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.29695 | + | 14.3707i | 0.488056 | + | 0.845337i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 11.9336i | 0.699562i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −16.1191 | − | 9.30636i | −0.941687 | − | 0.543683i | −0.0511983 | − | 0.998689i | \(-0.516304\pi\) |
−0.890489 | + | 0.455005i | \(0.849637\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.370518 | + | 0.641756i | −0.0215724 | + | 0.0373645i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.21245 | + | 3.00941i | −0.302457 | + | 0.174624i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −13.6587 | + | 1.71083i | −0.789905 | + | 0.0989400i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.05146 | + | 0.607061i | −0.0606052 | + | 0.0349904i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −21.5512 | + | 37.3278i | −1.23808 | + | 2.14443i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3.63606 | − | 2.09928i | −0.208200 | − | 0.120204i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 3.14776i | − | 0.179652i | −0.995957 | − | 0.0898262i | \(-0.971369\pi\) | ||
0.995957 | − | 0.0898262i | \(-0.0286311\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 19.1192 | + | 33.1154i | 1.08765 | + | 1.88387i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.18059 | −0.180355 | −0.0901774 | − | 0.995926i | \(-0.528743\pi\) | ||||
−0.0901774 | + | 0.995926i | \(0.528743\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 35.3533 | 1.99829 | 0.999144 | − | 0.0413596i | \(-0.0131689\pi\) | ||||
0.999144 | + | 0.0413596i | \(0.0131689\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.75447 | − | 8.23499i | −0.267884 | − | 0.463989i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 13.6357i | 0.765858i | 0.923778 | + | 0.382929i | \(0.125085\pi\) | ||||
−0.923778 | + | 0.382929i | \(0.874915\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 8.75656 | + | 5.05560i | 0.490273 | + | 0.283059i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −10.4066 | + | 18.0248i | −0.580842 | + | 1.00605i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.16344 | + | 1.82641i | −0.176018 | + | 0.101624i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.40072 | + | 3.32235i | −0.0776980 | + | 0.184291i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −24.6671 | + | 14.2416i | −1.36409 | + | 0.787560i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −8.99844 | + | 15.5858i | −0.496100 | + | 0.859271i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 24.9380 | + | 14.3980i | 1.37072 | + | 0.791383i | 0.991018 | − | 0.133727i | \(-0.0426945\pi\) |
0.379698 | + | 0.925110i | \(0.376028\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 3.78044i | 0.207167i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.04739 | + | 7.01029i | 0.221133 | + | 0.383013i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.7493 | −0.640026 | −0.320013 | − | 0.947413i | \(-0.603687\pi\) | ||||
−0.320013 | + | 0.947413i | \(0.603687\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −18.9061 | −1.02684 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 0.782847 | + | 1.35593i | 0.0423936 | + | 0.0734278i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 19.7574i | − | 1.06680i | ||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −9.34654 | − | 5.39623i | −0.503201 | − | 0.290523i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.949887 | − | 1.64525i | 0.0509926 | − | 0.0883218i | −0.839402 | − | 0.543510i | \(-0.817095\pi\) |
0.890395 | + | 0.455189i | \(0.150428\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.89329 | + | 5.13454i | −0.476047 | + | 0.274846i | −0.718768 | − | 0.695250i | \(-0.755293\pi\) |
0.242721 | + | 0.970096i | \(0.421960\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 7.88364 | − | 18.6991i | 0.420798 | − | 0.998084i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −0.693330 | + | 0.400294i | −0.0369022 | + | 0.0213055i | −0.518338 | − | 0.855176i | \(-0.673449\pi\) |
0.481435 | + | 0.876482i | \(0.340116\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.88244 | − | 8.45663i | 0.259133 | − | 0.448831i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −2.97231 | − | 1.71606i | −0.157311 | − | 0.0908237i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 8.13272i | − | 0.429228i | −0.976699 | − | 0.214614i | \(-0.931151\pi\) | ||
0.976699 | − | 0.214614i | \(-0.0688494\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 6.92820 | + | 12.0000i | 0.364642 | + | 0.631579i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 27.8625 | 1.46240 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.71649 | 0.194530 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.2632 | − | 17.7765i | −0.535737 | − | 0.927924i | −0.999127 | − | 0.0417696i | \(-0.986700\pi\) |
0.463390 | − | 0.886154i | \(-0.346633\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 1.33734i | − | 0.0696191i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −11.5349 | − | 6.65968i | −0.598863 | − | 0.345754i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.90292 | − | 15.4203i | 0.460976 | − | 0.798433i | −0.538034 | − | 0.842923i | \(-0.680833\pi\) |
0.999010 | + | 0.0444897i | \(0.0141662\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −2.44811 | + | 1.41342i | −0.126420 | + | 0.0729887i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −33.8266 | + | 4.23697i | −1.74216 | + | 0.218215i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.77150 | − | 1.02277i | 0.0909956 | − | 0.0525363i | −0.453812 | − | 0.891098i | \(-0.649936\pi\) |
0.544807 | + | 0.838561i | \(0.316603\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −2.10529 | + | 3.64647i | −0.107857 | + | 0.186814i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 6.84611 | + | 3.95261i | 0.349820 | + | 0.201969i | 0.664606 | − | 0.747194i | \(-0.268599\pi\) |
−0.314786 | + | 0.949163i | \(0.601933\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | − | 2.03741i | − | 0.103836i | ||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.59030 | − | 2.75447i | −0.0808393 | − | 0.140018i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 9.21171 | 0.467052 | 0.233526 | − | 0.972351i | \(-0.424974\pi\) | ||||
0.233526 | + | 0.972351i | \(0.424974\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.43298 | −0.123041 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 5.83285 | + | 10.1028i | 0.294228 | + | 0.509618i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 9.31937i | 0.468908i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.50305 | + | 3.17719i | 0.276190 | + | 0.159458i | 0.631697 | − | 0.775215i | \(-0.282359\pi\) |
−0.355507 | + | 0.934674i | \(0.615692\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −15.4356 | + | 26.7353i | −0.772748 | + | 1.33844i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.61063 | − | 2.08460i | 0.180306 | − | 0.104100i | −0.407130 | − | 0.913370i | \(-0.633470\pi\) |
0.587437 | + | 0.809270i | \(0.300137\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.86425 | − | 2.05080i | −0.242306 | − | 0.102157i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.811629 | − | 0.468594i | 0.0403301 | − | 0.0232846i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −0.405004 | + | 0.701487i | −0.0200753 | + | 0.0347714i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.80580 | + | 5.08403i | 0.435419 | + | 0.251389i | 0.701652 | − | 0.712519i | \(-0.252446\pi\) |
−0.266234 | + | 0.963909i | \(0.585779\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 56.8467i | − | 2.80404i | ||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.705915 | + | 1.22268i | 0.0347358 | + | 0.0601642i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −5.11778 | −0.251222 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −58.8697 | −2.88286 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.2954 | + | 24.7604i | 0.698378 | + | 1.20963i | 0.969029 | + | 0.246948i | \(0.0794277\pi\) |
−0.270651 | + | 0.962677i | \(0.587239\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 2.01797i | − | 0.0983498i | −0.998790 | − | 0.0491749i | \(-0.984341\pi\) | ||
0.998790 | − | 0.0491749i | \(-0.0156592\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −40.8295 | − | 23.5729i | −1.98520 | − | 1.14615i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.318632 | + | 0.551886i | −0.0154559 | + | 0.0267704i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.92747 | + | 3.99957i | −0.335244 | + | 0.193553i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 8.68878 | − | 6.58068i | 0.419498 | − | 0.317718i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −17.8508 | + | 10.3061i | −0.859842 | + | 0.496430i | −0.863959 | − | 0.503562i | \(-0.832023\pi\) |
0.00411765 | + | 0.999992i | \(0.498689\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 14.7178 | − | 25.4920i | 0.707292 | − | 1.22507i | −0.258566 | − | 0.965994i | \(-0.583250\pi\) |
0.965858 | − | 0.259072i | \(-0.0834168\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −23.1472 | − | 13.3640i | −1.10982 | − | 0.640757i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 21.8841i | 1.04686i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.47602 | − | 14.6809i | −0.404538 | − | 0.700681i | 0.589729 | − | 0.807601i | \(-0.299235\pi\) |
−0.994268 | + | 0.106920i | \(0.965901\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 16.8205 | 0.800978 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 24.1399 | 1.14692 | 0.573461 | − | 0.819233i | \(-0.305600\pi\) | ||||
0.573461 | + | 0.819233i | \(0.305600\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.28917 | − | 10.8932i | −0.298135 | − | 0.516385i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 37.7885i | − | 1.78733i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 18.0679 | + | 10.4315i | 0.852676 | + | 0.492293i | 0.861553 | − | 0.507668i | \(-0.169492\pi\) |
−0.00887706 | + | 0.999961i | \(0.502826\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.143271 | − | 0.248153i | 0.00674637 | − | 0.0116851i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −44.7965 | + | 25.8633i | −2.10472 | + | 1.21516i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 4.14741 | + | 5.47602i | 0.194434 | + | 0.256720i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 26.4708 | − | 15.2830i | 1.23825 | − | 0.714906i | 0.269517 | − | 0.962996i | \(-0.413136\pi\) |
0.968737 | + | 0.248089i | \(0.0798027\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.79335 | − | 3.10617i | 0.0837063 | − | 0.144984i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 4.05146 | + | 2.33911i | 0.188695 | + | 0.108943i | 0.591372 | − | 0.806399i | \(-0.298587\pi\) |
−0.402676 | + | 0.915342i | \(0.631920\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.0011i | 0.650688i | 0.945596 | + | 0.325344i | \(0.105480\pi\) | ||||
−0.945596 | + | 0.325344i | \(0.894520\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.06939 | − | 3.58429i | −0.0959656 | − | 0.166217i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −6.98506 | −0.323230 | −0.161615 | − | 0.986854i | \(-0.551670\pi\) | ||||
−0.161615 | + | 0.986854i | \(0.551670\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 15.4223 | 0.712135 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −3.42371 | − | 5.93004i | −0.157756 | − | 0.273242i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − | 0.681482i | − | 0.0313346i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.96410 | + | 2.86603i | 0.227769 | + | 0.131502i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 17.4461 | − | 30.2176i | 0.798804 | − | 1.38357i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 14.1065 | − | 8.14438i | 0.644542 | − | 0.372126i | −0.141820 | − | 0.989892i | \(-0.545296\pi\) |
0.786362 | + | 0.617766i | \(0.211962\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.339423 | − | 2.70985i | −0.0154764 | − | 0.123558i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −17.8071 | + | 10.2810i | −0.810253 | + | 0.467800i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 2.11078 | − | 3.65597i | 0.0958454 | − | 0.166009i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −17.3559 | − | 10.0204i | −0.786471 | − | 0.454069i | 0.0522474 | − | 0.998634i | \(-0.483362\pi\) |
−0.838719 | + | 0.544565i | \(0.816695\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 45.1810i | − | 2.04316i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7.89916 | + | 13.6818i | 0.356484 | + | 0.617449i | 0.987371 | − | 0.158426i | \(-0.0506420\pi\) |
−0.630887 | + | 0.775875i | \(0.717309\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −6.02540 | −0.271370 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 5.33734 | 0.239896 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.30208 | − | 16.1117i | −0.417255 | − | 0.722708i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.24651i | 0.0558016i | 0.999611 | + | 0.0279008i | \(0.00888226\pi\) | ||||
−0.999611 | + | 0.0279008i | \(0.991118\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −35.2361 | − | 20.3436i | −1.57423 | − | 0.908883i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −3.82672 | + | 6.62808i | −0.170625 | + | 0.295532i | −0.938639 | − | 0.344902i | \(-0.887912\pi\) |
0.768013 | + | 0.640434i | \(0.221245\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.2048 | − | 7.62379i | 0.587605 | − | 0.339254i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.95732 | + | 35.3742i | −0.442220 | + | 1.57102i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −22.2777 | + | 12.8621i | −0.987444 | + | 0.570101i | −0.904509 | − | 0.426454i | \(-0.859763\pi\) |
−0.0829345 | + | 0.996555i | \(0.526429\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.54035 | − | 6.13207i | 0.156616 | − | 0.271267i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −27.9393 | − | 16.1308i | −1.23355 | − | 0.712192i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | − | 13.5269i | − | 0.596067i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.05080 | − | 8.74824i | −0.222134 | − | 0.384747i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 68.8305 | 3.02132 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −30.1519 | −1.32098 | −0.660490 | − | 0.750835i | \(-0.729651\pi\) | ||||
−0.660490 | + | 0.750835i | \(0.729651\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.96876 | + | 3.41000i | 0.0860880 | + | 0.149109i | 0.905854 | − | 0.423589i | \(-0.139230\pi\) |
−0.819766 | + | 0.572698i | \(0.805897\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 5.38573i | 0.235052i | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.808017 | − | 0.466509i | −0.0351978 | − | 0.0203215i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.21200 | − | 7.29539i | 0.183130 | − | 0.317191i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −3.20301 | + | 1.84926i | −0.138999 | + | 0.0802510i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.120072 | + | 0.958614i | 0.00520088 | + | 0.0415222i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 6.37632 | − | 3.68137i | 0.275672 | − | 0.159159i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −5.35444 | + | 9.27415i | −0.231061 | + | 0.400209i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.12117 | + | 1.80201i | 0.134438 | + | 0.0776180i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 15.8881i | − | 0.683083i | −0.939867 | − | 0.341541i | \(-0.889051\pi\) | ||
0.939867 | − | 0.341541i | \(-0.110949\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −11.9970 | − | 20.7795i | −0.514842 | − | 0.891732i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 10.0760 | 0.431607 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.56107 | 0.280531 | 0.140266 | − | 0.990114i | \(-0.455204\pi\) | ||||
0.140266 | + | 0.990114i | \(0.455204\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −10.4775 | − | 18.1476i | −0.447170 | − | 0.774522i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 54.1972i | 2.30888i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 15.3766 | + | 8.87769i | 0.653880 | + | 0.377518i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.07059 | − | 1.85432i | 0.0454441 | − | 0.0787116i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 6.79835 | − | 3.92503i | 0.288055 | − | 0.166309i | −0.349009 | − | 0.937119i | \(-0.613482\pi\) |
0.637065 | + | 0.770810i | \(0.280148\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.38724 | + | 1.83164i | 0.0586741 | + | 0.0774702i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1.66835 | − | 0.963220i | 0.0704377 | − | 0.0406672i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 7.77976 | − | 13.4749i | 0.327878 | − | 0.567901i | −0.654213 | − | 0.756310i | \(-0.727000\pi\) |
0.982091 | + | 0.188410i | \(0.0603333\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 5.79203 | + | 3.34403i | 0.243673 | + | 0.140684i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − | 1.78554i | − | 0.0749857i | ||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.73957 | + | 3.01303i | 0.0729267 | + | 0.126313i | 0.900183 | − | 0.435512i | \(-0.143433\pi\) |
−0.827256 | + | 0.561825i | \(0.810099\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −21.5118 | −0.900240 | −0.450120 | − | 0.892968i | \(-0.648619\pi\) | ||||
−0.450120 | + | 0.892968i | \(0.648619\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 15.3868 | 0.642791 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.90893 | + | 3.30636i | 0.0796078 | + | 0.137885i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 9.97608i | − | 0.415310i | −0.978202 | − | 0.207655i | \(-0.933417\pi\) | ||
0.978202 | − | 0.207655i | \(-0.0665831\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −29.7632 | − | 17.1838i | −1.23692 | − | 0.714134i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.87523 | + | 8.44414i | −0.202259 | + | 0.350322i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 6.47451 | − | 3.73806i | 0.268147 | − | 0.154815i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −14.3453 | + | 10.8648i | −0.593107 | + | 0.449205i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −20.8341 | + | 12.0286i | −0.859915 | + | 0.496472i | −0.863984 | − | 0.503519i | \(-0.832038\pi\) |
0.00406862 | + | 0.999992i | \(0.498705\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.19615 | + | 7.26795i | −0.172899 | + | 0.299471i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −10.7186 | − | 6.18837i | −0.440903 | − | 0.254556i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 0.940219i | 0.0386102i | 0.999814 | + | 0.0193051i | \(0.00614538\pi\) | ||||
−0.999814 | + | 0.0193051i | \(0.993855\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.607061 | + | 1.05146i | 0.0248871 | + | 0.0431057i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 58.9037 | 2.41077 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 11.4270 | 0.466896 | 0.233448 | − | 0.972369i | \(-0.424999\pi\) | ||||
0.233448 | + | 0.972369i | \(0.424999\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 18.0215 | + | 31.2142i | 0.735114 | + | 1.27325i | 0.954674 | + | 0.297655i | \(0.0962045\pi\) |
−0.219560 | + | 0.975599i | \(0.570462\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 40.4012i | 1.64526i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −8.53590 | − | 4.92820i | −0.347034 | − | 0.200360i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 19.9454 | − | 34.5464i | 0.809557 | − | 1.40219i | −0.103614 | − | 0.994618i | \(-0.533041\pi\) |
0.913171 | − | 0.407576i | \(-0.133626\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −44.1003 | + | 25.4613i | −1.78704 | + | 1.03175i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 31.3833 | + | 13.2314i | 1.26963 | + | 0.535285i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.299187 | − | 0.172736i | 0.0120841 | − | 0.00697673i | −0.493946 | − | 0.869493i | \(-0.664446\pi\) |
0.506030 | + | 0.862516i | \(0.331113\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.378725 | + | 0.655970i | −0.0152716 | + | 0.0264513i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 33.5022 | + | 19.3425i | 1.34875 | + | 0.778700i | 0.988072 | − | 0.153991i | \(-0.0492128\pi\) |
0.360676 | + | 0.932691i | \(0.382546\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 14.8971i | − | 0.598764i | −0.954133 | − | 0.299382i | \(-0.903219\pi\) | ||
0.954133 | − | 0.299382i | \(-0.0967805\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10.7440 | − | 18.6091i | −0.431141 | − | 0.746758i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −23.9644 | −0.960113 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −8.66397 | − | 15.0064i | −0.346006 | − | 0.599299i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 0.482694i | − | 0.0192463i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.6408 | − | 19.4225i | −1.33922 | − | 0.773198i | −0.352526 | − | 0.935802i | \(-0.614677\pi\) |
−0.986691 | + | 0.162604i | \(0.948011\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −15.0581 | + | 26.0814i | −0.598506 | + | 1.03664i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.28994 | − | 0.744750i | 0.0511899 | − | 0.0295545i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.0571 | + | 1.51022i | −0.477719 | + | 0.0598370i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 42.2072 | − | 24.3683i | 1.66969 | − | 0.963996i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 18.5908 | − | 32.2003i | 0.734293 | − | 1.27183i | −0.220739 | − | 0.975333i | \(-0.570847\pi\) |
0.955033 | − | 0.296501i | \(-0.0958197\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.88410 | − | 4.55189i | −0.310918 | − | 0.179509i | 0.336419 | − | 0.941712i | \(-0.390784\pi\) |
−0.647337 | + | 0.762204i | \(0.724118\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.80144i | 0.0709316i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 9.56118 | + | 16.5605i | 0.375889 | + | 0.651059i | 0.990460 | − | 0.137803i | \(-0.0440041\pi\) |
−0.614571 | + | 0.788862i | \(0.710671\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.792455 | −0.0311066 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −7.88525 | −0.309047 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −17.3162 | − | 29.9926i | −0.677636 | − | 1.17370i | −0.975691 | − | 0.219152i | \(-0.929671\pi\) |
0.298055 | − | 0.954549i | \(-0.403662\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 4.12676i | − | 0.161246i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 16.0640 | + | 9.27453i | 0.626714 | + | 0.361834i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.34926 | + | 5.80109i | −0.130469 | + | 0.225978i | −0.923857 | − | 0.382737i | \(-0.874982\pi\) |
0.793389 | + | 0.608715i | \(0.208315\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 5.22004 | − | 3.01379i | 0.203036 | − | 0.117223i | −0.395035 | − | 0.918666i | \(-0.629268\pi\) |
0.598071 | + | 0.801443i | \(0.295934\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.52331 | + | 5.98501i | −0.0979974 | + | 0.232438i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 9.45767 | − | 5.46039i | 0.366753 | − | 0.211745i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −18.0491 | + | 31.2620i | −0.698865 | + | 1.21047i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −52.2411 | − | 30.1614i | −2.01976 | − | 1.16611i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 4.48990i | − | 0.173330i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.6784 | + | 20.2276i | 0.450169 | + | 0.779715i | 0.998396 | − | 0.0566140i | \(-0.0180304\pi\) |
−0.548227 | + | 0.836329i | \(0.684697\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −5.62828 | −0.216633 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −45.4042 | −1.74503 | −0.872513 | − | 0.488590i | \(-0.837511\pi\) | ||||
−0.872513 | + | 0.488590i | \(0.837511\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4.02148 | − | 6.96540i | −0.154330 | − | 0.267308i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 44.3408i | 1.69914i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −22.0817 | − | 12.7489i | −0.844934 | − | 0.487823i | 0.0140045 | − | 0.999902i | \(-0.495542\pi\) |
−0.858938 | + | 0.512079i | \(0.828875\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −10.0548 | + | 17.4155i | −0.384175 | + | 0.665411i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −18.6567 | + | 10.7715i | −0.711798 | + | 0.410957i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.79246 | + | 23.2266i | −0.373063 | + | 0.884862i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.71257 | + | 3.29815i | −0.217316 | + | 0.125468i | −0.604707 | − | 0.796448i | \(-0.706710\pi\) |
0.387391 | + | 0.921916i | \(0.373376\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5.08438 | − | 8.80641i | 0.193140 | − | 0.334528i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 18.0352 | + | 10.4126i | 0.684115 | + | 0.394974i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.170754i | 0.00646778i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −26.9327 | − | 46.6487i | −1.01869 | − | 1.76442i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −29.2474 | −1.10466 | −0.552329 | − | 0.833626i | \(-0.686261\pi\) | ||||
−0.552329 | + | 0.833626i | \(0.686261\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.34174 | −0.163752 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 13.3513 | + | 23.1252i | 0.502841 | + | 0.870946i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | − | 29.0499i | − | 1.09253i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.46865 | − | 5.46673i | −0.355603 | − | 0.205307i | 0.311548 | − | 0.950231i | \(-0.399153\pi\) |
−0.667150 | + | 0.744923i | \(0.732486\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −23.2566 | + | 40.2815i | −0.872189 | + | 1.51068i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −4.84084 | + | 2.79486i | −0.181291 | + | 0.104668i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.82584 | + | 0.479208i | −0.143078 | + | 0.0179214i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 31.2220 | − | 18.0260i | 1.16601 | − | 0.673194i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −8.02989 | + | 13.9082i | −0.299464 | + | 0.518688i | −0.976014 | − | 0.217710i | \(-0.930141\pi\) |
0.676549 | + | 0.736398i | \(0.263475\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −22.3189 | − | 12.8858i | −0.831199 | − | 0.479893i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 73.2966i | 2.72593i | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.72756 | + | 8.18837i | 0.175577 | + | 0.304108i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 51.3754 | 1.90541 | 0.952704 | − | 0.303900i | \(-0.0982889\pi\) | ||||
0.952704 | + | 0.303900i | \(0.0982889\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.0532 | −1.59456 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.203052 | + | 0.351697i | 0.00751016 | + | 0.0130080i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.82358i | 0.362842i | 0.983406 | + | 0.181421i | \(0.0580697\pi\) | ||||
−0.983406 | + | 0.181421i | \(0.941930\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −8.25055 | − | 4.76346i | −0.304326 | − | 0.175703i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −4.32824 | + | 7.49673i | −0.159433 | + | 0.276146i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −42.5082 | + | 24.5421i | −1.56369 | + | 0.902797i | −0.566811 | + | 0.823848i | \(0.691823\pi\) |
−0.996879 | + | 0.0789487i | \(0.974844\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 53.8339 | + | 22.6967i | 1.97764 | + | 0.833783i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 35.3663 | − | 20.4188i | 1.29746 | − | 0.749091i | 0.317499 | − | 0.948259i | \(-0.397157\pi\) |
0.979966 | + | 0.199167i | \(0.0638237\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.68388 | + | 11.5768i | −0.244878 | + | 0.424142i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −22.1208 | − | 12.7715i | −0.809358 | − | 0.467283i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 14.0276i | − | 0.512557i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.36340 | + | 2.36148i | 0.0497512 | + | 0.0861716i | 0.889829 | − | 0.456295i | \(-0.150824\pi\) |
−0.840077 | + | 0.542467i | \(0.817490\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 21.5175 | 0.784142 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 18.2984 | 0.665946 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7.40301 | − | 12.8224i | −0.269067 | − | 0.466038i | 0.699554 | − | 0.714580i | \(-0.253382\pi\) |
−0.968621 | + | 0.248542i | \(0.920049\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − | 11.5413i | − | 0.418924i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.84575 | + | 5.68445i | 0.356908 | + | 0.206061i | 0.667724 | − | 0.744409i | \(-0.267269\pi\) |
−0.310815 | + | 0.950470i | \(0.600602\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 9.59843 | − | 16.6250i | 0.347486 | − | 0.601864i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −2.75447 | + | 1.59030i | −0.0995882 | + | 0.0574972i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.12991 | − | 1.61314i | 0.0769065 | − | 0.0582472i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.2352 | − | 10.5281i | 0.657579 | − | 0.379654i | −0.133775 | − | 0.991012i | \(-0.542710\pi\) |
0.791354 | + | 0.611358i | \(0.209377\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0.474602 | − | 0.822034i | 0.0170924 | − | 0.0296048i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 12.1961 | + | 7.04144i | 0.438664 | + | 0.253263i | 0.703031 | − | 0.711159i | \(-0.251830\pi\) |
−0.264367 | + | 0.964422i | \(0.585163\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.46410i | 0.0525921i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −2.03971 | − | 3.53288i | −0.0731741 | − | 0.126741i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.53590 | 0.0550293 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.4425 | 0.373660 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −26.6080 | − | 46.0864i | −0.950893 | − | 1.64699i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.42229i | 0.0864552i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 28.5998 | + | 16.5121i | 1.01947 | + | 0.588593i | 0.913951 | − | 0.405823i | \(-0.133015\pi\) |
0.105522 | + | 0.994417i | \(0.466349\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −7.59839 | + | 13.1608i | −0.270510 | + | 0.468537i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 11.0350 | − | 6.37109i | 0.392361 | − | 0.226530i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.13974 | + | 12.0676i | 0.324562 | + | 0.428534i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −17.1148 | + | 9.88124i | −0.606999 | + | 0.350451i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −8.47079 | + | 14.6718i | −0.300051 | + | 0.519703i | −0.976147 | − | 0.217110i | \(-0.930337\pi\) |
0.676096 | + | 0.736813i | \(0.263670\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 5.21319 | + | 3.00984i | 0.184429 | + | 0.106480i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 62.7787i | − | 2.21817i | ||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.98719 | + | 3.44191i | 0.0701263 | + | 0.121462i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.27382 | 0.256369 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −3.70425 | −0.130396 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 25.8818 | + | 44.8285i | 0.909954 | + | 1.57609i | 0.814125 | + | 0.580689i | \(0.197217\pi\) |
0.0958292 | + | 0.995398i | \(0.469450\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 22.6699i | 0.796047i | 0.917375 | + | 0.398023i | \(0.130304\pi\) | ||||
−0.917375 | + | 0.398023i | \(0.869696\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −28.5091 | − | 16.4597i | −0.999856 | − | 0.577267i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −7.99144 | + | 13.8416i | −0.279928 | + | 0.484849i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.16344 | − | 1.82641i | 0.110675 | − | 0.0638981i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 4.26109 | + | 34.0192i | 0.148895 | + | 1.18873i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −24.8230 | + | 14.3315i | −0.866328 | + | 0.500174i | −0.866126 | − | 0.499826i | \(-0.833397\pi\) |
−0.000201482 | 1.00000i | \(0.500064\pi\) | ||||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 12.9164 | − | 22.3718i | 0.450236 | − | 0.779831i | −0.548165 | − | 0.836371i | \(-0.684673\pi\) |
0.998400 | + | 0.0565391i | \(0.0180066\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −2.61799 | − | 1.51150i | −0.0911466 | − | 0.0526235i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 16.0820i | 0.559227i | 0.960113 | + | 0.279613i | \(0.0902063\pi\) | ||||
−0.960113 | + | 0.279613i | \(0.909794\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −11.2909 | − | 19.5564i | −0.392149 | − | 0.679222i | 0.600584 | − | 0.799562i | \(-0.294935\pi\) |
−0.992733 | + | 0.120340i | \(0.961602\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 57.4304 | 1.99224 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.14768 | −0.0744128 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.19658 | + | 12.4648i | 0.249048 | + | 0.431364i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 8.24037i | − | 0.284829i | ||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −15.4533 | − | 8.92198i | −0.533508 | − | 0.308021i | 0.208936 | − | 0.977929i | \(-0.433000\pi\) |
−0.742444 | + | 0.669908i | \(0.766333\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −30.1996 | + | 52.3073i | −1.04137 | + | 1.80370i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −29.0698 | + | 16.7835i | −1.00122 | + | 0.578053i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 9.30735 | − | 9.07597i | 0.320183 | − | 0.312223i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −16.2627 | + | 9.38927i | −0.558793 | + | 0.322619i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 32.0169 | − | 55.4550i | 1.09882 | − | 1.90321i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.50440 | − | 1.44591i | −0.0858497 | − | 0.0495653i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.7936i | 0.677720i | 0.940837 | + | 0.338860i | \(0.110041\pi\) | ||||
−0.940837 | + | 0.338860i | \(0.889959\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 14.3044 | + | 24.7759i | 0.489199 | + | 0.847318i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 11.7302 | 0.400696 | 0.200348 | − | 0.979725i | \(-0.435793\pi\) | ||||
0.200348 | + | 0.979725i | \(0.435793\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.37452 | −0.183376 | −0.0916882 | − | 0.995788i | \(-0.529226\pi\) | ||||
−0.0916882 | + | 0.995788i | \(0.529226\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.721551 | + | 1.24976i | 0.0245904 | + | 0.0425918i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 25.3234i | − | 0.862017i | −0.902348 | − | 0.431008i | \(-0.858158\pi\) | ||
0.902348 | − | 0.431008i | \(-0.141842\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −21.0868 | − | 12.1745i | −0.716973 | − | 0.413944i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 23.4541 | − | 40.6237i | 0.796544 | − | 1.37965i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.63084 | + | 4.98302i | −0.292781 | + | 0.169037i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.62739 | − | 28.9599i | −0.122909 | − | 0.981268i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 18.2470 | − | 10.5349i | 0.617567 | − | 0.356553i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.952606 | − | 1.64996i | 0.0322040 | − | 0.0557789i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.9194 | + | 10.3458i | 0.605095 | + | 0.349352i | 0.771043 | − | 0.636783i | \(-0.219735\pi\) |
−0.165949 | + | 0.986134i | \(0.553069\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 52.6151i | 1.77466i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 24.1997 | + | 41.9150i | 0.815307 | + | 1.41215i | 0.909107 | + | 0.416562i | \(0.136765\pi\) |
−0.0937999 | + | 0.995591i | \(0.529901\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 45.8550 | 1.54314 | 0.771572 | − | 0.636142i | \(-0.219471\pi\) | ||||
0.771572 | + | 0.636142i | \(0.219471\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 2.09479 | 0.0704155 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −0.541169 | − | 0.937332i | −0.0181707 | − | 0.0314725i | 0.856797 | − | 0.515654i | \(-0.172451\pi\) |
−0.874968 | + | 0.484181i | \(0.839118\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | − | 2.83781i | − | 0.0951772i | ||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.867947 | + | 0.501109i | 0.0290773 | + | 0.0167878i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 27.0729 | − | 46.8916i | 0.905959 | − | 1.56917i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.28075 | − | 1.89414i | 0.109663 | − | 0.0633142i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 23.4938 | + | 31.0200i | 0.784436 | + | 1.03573i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −11.9886 | + | 6.92163i | −0.399842 | + | 0.230849i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.22756 | + | 3.85824i | −0.0742107 | + | 0.128537i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2.97231 | + | 1.71606i | 0.0989122 | + | 0.0571070i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 8.48794i | 0.282149i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 22.7653 | + | 39.4307i | 0.755910 | + | 1.30928i | 0.944920 | + | 0.327300i | \(0.106139\pi\) |
−0.189010 | + | 0.981975i | \(0.560528\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 76.1009 | 2.52411 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −39.7417 | −1.31670 | −0.658350 | − | 0.752712i | \(-0.728745\pi\) | ||||
−0.658350 | + | 0.752712i | \(0.728745\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2.73645 | − | 4.73967i | −0.0905632 | − | 0.156860i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 11.8687i | 0.392365i | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −6.80900 | − | 3.93118i | −0.224853 | − | 0.129819i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 23.4969 | − | 40.6978i | 0.775091 | − | 1.34250i | −0.159653 | − | 0.987173i | \(-0.551037\pi\) |
0.934743 | − | 0.355323i | \(-0.115629\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −7.70608 | + | 4.44911i | −0.253924 | + | 0.146603i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −28.0665 | + | 21.2569i | −0.923821 | + | 0.699680i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.655970 | + | 0.378725i | −0.0215682 | + | 0.0124524i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 33.7565 | − | 58.4680i | 1.10871 | − | 1.92034i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −13.1821 | − | 7.61066i | −0.432489 | − | 0.249698i | 0.267917 | − | 0.963442i | \(-0.413665\pi\) |
−0.700406 | + | 0.713744i | \(0.746998\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.3180i | 0.633121i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.49551 | + | 7.78645i | 0.147176 | + | 0.254917i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −0.681482 | −0.0222869 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.07285 | 0.198392 | 0.0991958 | − | 0.995068i | \(-0.468373\pi\) | ||||
0.0991958 | + | 0.995068i | \(0.468373\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −49.9691 | − | 86.5490i | −1.63068 | − | 2.82442i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 0.0496576i | 0.00161879i | 1.00000 | 0.000809396i | \(0.000257639\pi\) | |||||
−1.00000 | 0.000809396i | \(0.999742\pi\) | ||||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 0.885936 | + | 0.511495i | 0.0288500 | + | 0.0166566i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −5.36153 | + | 9.28645i | −0.174411 | + | 0.302088i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 16.1584 | − | 9.32907i | 0.525078 | − | 0.303154i | −0.213932 | − | 0.976849i | \(-0.568627\pi\) |
0.739010 | + | 0.673695i | \(0.235294\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −12.3475 | − | 5.20576i | −0.400816 | − | 0.168986i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 33.3818 | − | 19.2730i | 1.08248 | − | 0.624969i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −0.764764 | + | 1.32461i | −0.0247731 | + | 0.0429083i | −0.878146 | − | 0.478392i | \(-0.841220\pi\) |
0.853373 | + | 0.521301i | \(0.174553\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.71386 | − | 2.72155i | −0.152537 | − | 0.0880673i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − | 28.5827i | − | 0.923948i | ||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 19.1566 | + | 33.1802i | 0.618598 | + | 1.07144i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 28.8564 | 0.930852 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 36.7475 | 1.18417 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 6.07880 | + | 10.5288i | 0.195683 | + | 0.338934i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.1716i | 1.03457i | 0.855813 | + | 0.517285i | \(0.173057\pi\) | ||||
−0.855813 | + | 0.517285i | \(0.826943\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 8.94253 | + | 5.16297i | 0.287276 | + | 0.165859i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −8.62705 | + | 14.9425i | −0.276855 | + | 0.479527i | −0.970601 | − | 0.240692i | \(-0.922626\pi\) |
0.693746 | + | 0.720219i | \(0.255959\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 34.3609 | − | 19.8383i | 1.10156 | − | 0.635986i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 10.1133 | − | 1.26675i | 0.323884 | − | 0.0405683i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −13.6164 | + | 7.86142i | −0.435626 | + | 0.251509i | −0.701741 | − | 0.712432i | \(-0.747593\pi\) |
0.266114 | + | 0.963942i | \(0.414260\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.72557 | − | 11.6490i | 0.214950 | − | 0.372304i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 43.5518 | + | 25.1447i | 1.39050 | + | 0.802807i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − | 38.5356i | − | 1.22910i | −0.788880 | − | 0.614548i | \(-0.789338\pi\) | ||
0.788880 | − | 0.614548i | \(-0.210662\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.18915 | + | 3.79172i | 0.0697521 | + | 0.120814i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 50.8743 | 1.61935 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.43298 | 0.0773642 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.29571 | + | 7.44040i | 0.136458 | + | 0.236352i | 0.926153 | − | 0.377147i | \(-0.123095\pi\) |
−0.789696 | + | 0.613499i | \(0.789762\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 81.4014i | − | 2.58320i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −18.0456 | − | 10.4186i | −0.572085 | − | 0.330293i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.2687 | − | 17.7859i | 0.325213 | − | 0.563285i | −0.656343 | − | 0.754463i | \(-0.727897\pi\) |
0.981555 | + | 0.191178i | \(0.0612308\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 3.69198 | − | 2.13157i | 0.116809 | − | 0.0674398i |
(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 | 1040.2.da.b.881.1 | 8 | ||
4.3 | odd | 2 | 65.2.m.a.36.1 | ✓ | 8 | ||
12.11 | even | 2 | 585.2.bu.c.361.4 | 8 | |||
13.4 | even | 6 | inner | 1040.2.da.b.641.1 | 8 | ||
20.3 | even | 4 | 325.2.m.c.49.4 | 8 | |||
20.7 | even | 4 | 325.2.m.b.49.1 | 8 | |||
20.19 | odd | 2 | 325.2.n.d.101.4 | 8 | |||
52.3 | odd | 6 | 845.2.c.g.506.1 | 8 | |||
52.7 | even | 12 | 845.2.e.m.191.1 | 8 | |||
52.11 | even | 12 | 845.2.a.m.1.4 | 4 | |||
52.15 | even | 12 | 845.2.a.l.1.1 | 4 | |||
52.19 | even | 12 | 845.2.e.n.191.4 | 8 | |||
52.23 | odd | 6 | 845.2.c.g.506.8 | 8 | |||
52.31 | even | 4 | 845.2.e.n.146.4 | 8 | |||
52.35 | odd | 6 | 845.2.m.g.316.4 | 8 | |||
52.43 | odd | 6 | 65.2.m.a.56.1 | yes | 8 | ||
52.47 | even | 4 | 845.2.e.m.146.1 | 8 | |||
52.51 | odd | 2 | 845.2.m.g.361.4 | 8 | |||
156.11 | odd | 12 | 7605.2.a.cf.1.1 | 4 | |||
156.95 | even | 6 | 585.2.bu.c.316.4 | 8 | |||
156.119 | odd | 12 | 7605.2.a.cj.1.4 | 4 | |||
260.43 | even | 12 | 325.2.m.b.199.1 | 8 | |||
260.119 | even | 12 | 4225.2.a.bl.1.4 | 4 | |||
260.147 | even | 12 | 325.2.m.c.199.4 | 8 | |||
260.199 | odd | 6 | 325.2.n.d.251.4 | 8 | |||
260.219 | even | 12 | 4225.2.a.bi.1.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
65.2.m.a.36.1 | ✓ | 8 | 4.3 | odd | 2 | ||
65.2.m.a.56.1 | yes | 8 | 52.43 | odd | 6 | ||
325.2.m.b.49.1 | 8 | 20.7 | even | 4 | |||
325.2.m.b.199.1 | 8 | 260.43 | even | 12 | |||
325.2.m.c.49.4 | 8 | 20.3 | even | 4 | |||
325.2.m.c.199.4 | 8 | 260.147 | even | 12 | |||
325.2.n.d.101.4 | 8 | 20.19 | odd | 2 | |||
325.2.n.d.251.4 | 8 | 260.199 | odd | 6 | |||
585.2.bu.c.316.4 | 8 | 156.95 | even | 6 | |||
585.2.bu.c.361.4 | 8 | 12.11 | even | 2 | |||
845.2.a.l.1.1 | 4 | 52.15 | even | 12 | |||
845.2.a.m.1.4 | 4 | 52.11 | even | 12 | |||
845.2.c.g.506.1 | 8 | 52.3 | odd | 6 | |||
845.2.c.g.506.8 | 8 | 52.23 | odd | 6 | |||
845.2.e.m.146.1 | 8 | 52.47 | even | 4 | |||
845.2.e.m.191.1 | 8 | 52.7 | even | 12 | |||
845.2.e.n.146.4 | 8 | 52.31 | even | 4 | |||
845.2.e.n.191.4 | 8 | 52.19 | even | 12 | |||
845.2.m.g.316.4 | 8 | 52.35 | odd | 6 | |||
845.2.m.g.361.4 | 8 | 52.51 | odd | 2 | |||
1040.2.da.b.641.1 | 8 | 13.4 | even | 6 | inner | ||
1040.2.da.b.881.1 | 8 | 1.1 | even | 1 | trivial | ||
4225.2.a.bi.1.1 | 4 | 260.219 | even | 12 | |||
4225.2.a.bl.1.4 | 4 | 260.119 | even | 12 | |||
7605.2.a.cf.1.1 | 4 | 156.11 | odd | 12 | |||
7605.2.a.cj.1.4 | 4 | 156.119 | odd | 12 |