Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,3,Mod(65,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.65");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.q (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: | \(7.84743161358\) |
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 | 257.1 | ||
Character | \(\chi\) | \(=\) | 288.257 |
Dual form | 288.3.q.b.65.1 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{6}\right)\) | \(1\) |
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 | ||||||||
\(3\) | −2.81202 | + | 1.04524i | −0.937340 | + | 0.348415i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 5.41309 | + | 3.12525i | 1.08262 | + | 0.625050i | 0.931602 | − | 0.363481i | \(-0.118412\pi\) |
0.151017 | + | 0.988531i | \(0.451745\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.74855 | − | 6.49268i | −0.535507 | − | 0.927525i | −0.999139 | − | 0.0414972i | \(-0.986787\pi\) |
0.463632 | − | 0.886028i | \(-0.346546\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 6.81493 | − | 5.87850i | 0.757214 | − | 0.653167i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 6.17688 | − | 3.56622i | 0.561534 | − | 0.324202i | −0.192227 | − | 0.981351i | \(-0.561571\pi\) |
0.753761 | + | 0.657149i | \(0.228238\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.888802 | + | 1.53945i | −0.0683694 | + | 0.118419i | −0.898184 | − | 0.439620i | \(-0.855113\pi\) |
0.829814 | + | 0.558040i | \(0.188446\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −18.4884 | − | 3.13027i | −1.23256 | − | 0.208684i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 14.7791i | 0.869362i | 0.900585 | + | 0.434681i | \(0.143139\pi\) | ||||
−0.900585 | + | 0.434681i | \(0.856861\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 19.9460 | 1.04979 | 0.524896 | − | 0.851167i | \(-0.324104\pi\) | ||||
0.524896 | + | 0.851167i | \(0.324104\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 17.3274 | + | 14.3394i | 0.825116 | + | 0.682828i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 20.8716 | + | 12.0502i | 0.907462 | + | 0.523923i | 0.879614 | − | 0.475689i | \(-0.157801\pi\) |
0.0278482 | + | 0.999612i | \(0.491134\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 7.03438 | + | 12.1839i | 0.281375 | + | 0.487356i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −13.0193 | + | 23.6537i | −0.482195 | + | 0.876064i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 40.1279 | − | 23.1679i | 1.38372 | − | 0.798891i | 0.391123 | − | 0.920339i | \(-0.372087\pi\) |
0.992598 | + | 0.121447i | \(0.0387535\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −14.1547 | + | 24.5167i | −0.456603 | + | 0.790860i | −0.998779 | − | 0.0494054i | \(-0.984267\pi\) |
0.542176 | + | 0.840265i | \(0.317601\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −13.6419 | + | 16.4846i | −0.413392 | + | 0.499534i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | − | 46.8606i | − | 1.33887i | ||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 63.0770 | 1.70478 | 0.852391 | − | 0.522904i | \(-0.175151\pi\) | ||||
0.852391 | + | 0.522904i | \(0.175151\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.890228 | − | 5.25798i | 0.0228264 | − | 0.134820i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −28.0185 | − | 16.1765i | −0.683378 | − | 0.394549i | 0.117748 | − | 0.993043i | \(-0.462432\pi\) |
−0.801127 | + | 0.598495i | \(0.795766\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 38.8176 | + | 67.2341i | 0.902736 | + | 1.56358i | 0.823928 | + | 0.566694i | \(0.191778\pi\) |
0.0788077 | + | 0.996890i | \(0.474889\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 55.2616 | − | 10.5225i | 1.22804 | − | 0.233833i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 38.4719 | − | 22.2118i | 0.818551 | − | 0.472591i | −0.0313654 | − | 0.999508i | \(-0.509986\pi\) |
0.849917 | + | 0.526917i | \(0.176652\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.60324 | + | 6.24099i | −0.0735354 | + | 0.127367i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −15.4478 | − | 41.5593i | −0.302899 | − | 0.814888i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 42.2846i | 0.797823i | 0.916990 | + | 0.398911i | \(0.130612\pi\) | ||||
−0.916990 | + | 0.398911i | \(0.869388\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 44.5813 | 0.810570 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −56.0887 | + | 20.8485i | −0.984012 | + | 0.365763i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −93.8917 | − | 54.2084i | −1.59138 | − | 0.918786i | −0.993070 | − | 0.117524i | \(-0.962504\pi\) |
−0.598314 | − | 0.801262i | \(-0.704162\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −25.3858 | − | 43.9695i | −0.416161 | − | 0.720812i | 0.579389 | − | 0.815051i | \(-0.303291\pi\) |
−0.995550 | + | 0.0942396i | \(0.969958\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −63.7133 | − | 22.2113i | −1.01132 | − | 0.352560i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −9.62233 | + | 5.55546i | −0.148036 | + | 0.0854686i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −56.9484 | + | 98.6376i | −0.849977 | + | 1.47220i | 0.0312514 | + | 0.999512i | \(0.490051\pi\) |
−0.881228 | + | 0.472691i | \(0.843283\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −71.2869 | − | 12.0696i | −1.03314 | − | 0.174921i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 85.2129i | − | 1.20018i | −0.799932 | − | 0.600091i | \(-0.795131\pi\) | ||
0.799932 | − | 0.600091i | \(-0.204869\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −94.5357 | −1.29501 | −0.647505 | − | 0.762061i | \(-0.724188\pi\) | ||||
−0.647505 | + | 0.762061i | \(0.724188\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −32.5160 | − | 26.9087i | −0.433546 | − | 0.358783i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −46.3086 | − | 26.7363i | −0.601411 | − | 0.347225i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 35.6059 | + | 61.6712i | 0.450707 | + | 0.780648i | 0.998430 | − | 0.0560122i | \(-0.0178386\pi\) |
−0.547723 | + | 0.836660i | \(0.684505\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 11.8865 | − | 80.1231i | 0.146747 | − | 0.989174i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 94.9037 | − | 54.7927i | 1.14342 | − | 0.660153i | 0.196144 | − | 0.980575i | \(-0.437158\pi\) |
0.947275 | + | 0.320422i | \(0.103825\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −46.1885 | + | 80.0009i | −0.543395 | + | 0.941187i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −88.6244 | + | 107.092i | −1.01867 | + | 1.23094i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 29.6936i | − | 0.333635i | −0.985988 | − | 0.166818i | \(-0.946651\pi\) | ||
0.985988 | − | 0.166818i | \(-0.0533491\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.3269 | 0.146449 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 14.1774 | − | 83.7365i | 0.152445 | − | 0.900392i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 107.970 | + | 62.3363i | 1.13652 | + | 0.656172i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −62.4793 | − | 108.217i | −0.644116 | − | 1.11564i | −0.984505 | − | 0.175357i | \(-0.943892\pi\) |
0.340389 | − | 0.940285i | \(-0.389441\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 21.1309 | − | 60.6143i | 0.213444 | − | 0.612266i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −34.0989 | + | 19.6870i | −0.337613 | + | 0.194921i | −0.659216 | − | 0.751954i | \(-0.729112\pi\) |
0.321603 | + | 0.946875i | \(0.395778\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 74.7230 | − | 129.424i | 0.725466 | − | 1.25654i | −0.233316 | − | 0.972401i | \(-0.574958\pi\) |
0.958782 | − | 0.284143i | \(-0.0917090\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 48.9808 | + | 131.773i | 0.466484 | + | 1.25498i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 0.420211i | − | 0.00392721i | −0.999998 | − | 0.00196360i | \(-0.999375\pi\) | ||
0.999998 | − | 0.00196360i | \(-0.000625035\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 64.4616 | 0.591391 | 0.295695 | − | 0.955282i | \(-0.404449\pi\) | ||||
0.295695 | + | 0.955282i | \(0.404449\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −177.374 | + | 65.9309i | −1.59796 | + | 0.593972i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 22.4718 | + | 12.9741i | 0.198865 | + | 0.114815i | 0.596126 | − | 0.802891i | \(-0.296706\pi\) |
−0.397261 | + | 0.917706i | \(0.630039\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 75.3200 | + | 130.458i | 0.654957 | + | 1.13442i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.99254 | + | 15.7161i | 0.0255772 | + | 0.134325i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 95.9562 | − | 55.4004i | 0.806355 | − | 0.465549i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −35.0641 | + | 60.7329i | −0.289786 | + | 0.501925i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 95.6971 | + | 16.2025i | 0.778025 | + | 0.131727i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 68.3258i | − | 0.546606i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 12.0916 | 0.0952097 | 0.0476049 | − | 0.998866i | \(-0.484841\pi\) | ||||
0.0476049 | + | 0.998866i | \(0.484841\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −179.432 | − | 148.490i | −1.39095 | − | 1.15108i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 45.4518 | + | 26.2416i | 0.346960 | + | 0.200318i | 0.663346 | − | 0.748313i | \(-0.269136\pi\) |
−0.316385 | + | 0.948631i | \(0.602469\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −74.7687 | − | 129.503i | −0.562171 | − | 0.973708i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −144.398 | + | 87.3514i | −1.06962 | + | 0.647047i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −121.224 | + | 69.9888i | −0.884848 | + | 0.510867i | −0.872254 | − | 0.489053i | \(-0.837342\pi\) |
−0.0125942 | + | 0.999921i | \(0.504009\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −19.9656 | + | 34.5814i | −0.143637 | + | 0.248787i | −0.928864 | − | 0.370422i | \(-0.879213\pi\) |
0.785226 | + | 0.619209i | \(0.212547\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −84.9671 | + | 102.673i | −0.602604 | + | 0.728174i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 12.6787i | 0.0886619i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 289.621 | 1.99739 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 3.60902 | − | 21.3161i | 0.0245512 | − | 0.145007i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.26226 | − | 1.88347i | −0.0218944 | − | 0.0126407i | 0.489013 | − | 0.872277i | \(-0.337357\pi\) |
−0.510907 | + | 0.859636i | \(0.670690\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −74.8795 | − | 129.695i | −0.495891 | − | 0.858908i | 0.504098 | − | 0.863646i | \(-0.331825\pi\) |
−0.999989 | + | 0.00473848i | \(0.998492\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 86.8792 | + | 100.719i | 0.567838 | + | 0.658293i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −153.241 | + | 88.4739i | −0.988654 | + | 0.570800i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −58.9507 | + | 102.106i | −0.375482 | + | 0.650354i | −0.990399 | − | 0.138238i | \(-0.955856\pi\) |
0.614917 | + | 0.788592i | \(0.289189\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −44.1977 | − | 118.905i | −0.277973 | − | 0.747831i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 180.684i | − | 1.12226i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −111.960 | −0.686874 | −0.343437 | − | 0.939176i | \(-0.611591\pi\) | ||||
−0.343437 | + | 0.939176i | \(0.611591\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −125.364 | + | 46.5984i | −0.759780 | + | 0.282414i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1.33677 | − | 0.771783i | −0.00800460 | − | 0.00462146i | 0.495992 | − | 0.868327i | \(-0.334804\pi\) |
−0.503997 | + | 0.863705i | \(0.668138\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 82.9201 | + | 143.622i | 0.490651 | + | 0.849833i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 135.931 | − | 117.253i | 0.794917 | − | 0.685689i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 46.0581 | − | 26.5917i | 0.266232 | − | 0.153709i | −0.360942 | − | 0.932588i | \(-0.617545\pi\) |
0.627174 | + | 0.778879i | \(0.284211\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 52.7374 | − | 91.3439i | 0.301357 | − | 0.521965i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 320.686 | + | 54.2954i | 1.81179 | + | 0.306753i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − | 239.444i | − | 1.33768i | −0.743407 | − | 0.668839i | \(-0.766792\pi\) | ||
0.743407 | − | 0.668839i | \(-0.233208\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 61.1557 | 0.337877 | 0.168938 | − | 0.985627i | \(-0.445966\pi\) | ||||
0.168938 | + | 0.985627i | \(0.445966\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 117.344 | + | 97.1089i | 0.641226 | + | 0.530649i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 341.441 | + | 197.131i | 1.84563 | + | 1.06557i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 52.7057 | + | 91.2890i | 0.281849 | + | 0.488176i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 202.379 | − | 4.13737i | 1.07079 | − | 0.0218908i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −28.9063 | + | 16.6891i | −0.151342 | + | 0.0873773i | −0.573759 | − | 0.819024i | \(-0.694515\pi\) |
0.422417 | + | 0.906402i | \(0.361182\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 21.2796 | − | 36.8573i | 0.110257 | − | 0.190971i | −0.805617 | − | 0.592437i | \(-0.798166\pi\) |
0.915874 | + | 0.401466i | \(0.131499\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 21.2514 | − | 25.6798i | 0.108982 | − | 0.131691i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 203.372i | 1.03235i | 0.856484 | + | 0.516173i | \(0.172644\pi\) | ||||
−0.856484 | + | 0.516173i | \(0.827356\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −128.160 | −0.644022 | −0.322011 | − | 0.946736i | \(-0.604359\pi\) | ||||
−0.322011 | + | 0.946736i | \(0.604359\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 57.0398 | − | 336.896i | 0.283780 | − | 1.67610i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −300.843 | − | 173.692i | −1.48198 | − | 0.855624i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −101.111 | − | 175.130i | −0.493225 | − | 0.854291i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 213.076 | − | 40.5723i | 1.02935 | − | 0.196002i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 123.204 | − | 71.1320i | 0.589494 | − | 0.340344i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −97.2675 | + | 168.472i | −0.460983 | + | 0.798446i | −0.999010 | − | 0.0444812i | \(-0.985837\pi\) |
0.538027 | + | 0.842928i | \(0.319170\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 89.0683 | + | 239.620i | 0.418161 | + | 1.12498i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 485.259i | 2.25702i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 212.238 | 0.978057 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 265.837 | − | 98.8130i | 1.21387 | − | 0.451201i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −22.7518 | − | 13.1357i | −0.102949 | − | 0.0594377i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −95.1454 | − | 164.797i | −0.426661 | − | 0.738998i | 0.569913 | − | 0.821705i | \(-0.306977\pi\) |
−0.996574 | + | 0.0827067i | \(0.973644\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 119.562 | + | 41.6808i | 0.531386 | + | 0.185248i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −320.930 | + | 185.289i | −1.41379 | + | 0.816252i | −0.995743 | − | 0.0921738i | \(-0.970618\pi\) |
−0.418047 | + | 0.908426i | \(0.637285\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −203.685 | + | 352.793i | −0.889455 | + | 1.54058i | −0.0489338 | + | 0.998802i | \(0.515582\pi\) |
−0.840521 | + | 0.541779i | \(0.817751\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 158.167 | + | 26.7792i | 0.684705 | + | 0.115927i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 21.5267i | 0.0923895i | 0.998932 | + | 0.0461947i | \(0.0147095\pi\) | ||||
−0.998932 | + | 0.0461947i | \(0.985291\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 277.669 | 1.18157 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −164.586 | − | 136.204i | −0.694455 | − | 0.574699i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 172.020 | + | 99.3155i | 0.719747 | + | 0.415546i | 0.814660 | − | 0.579939i | \(-0.196924\pi\) |
−0.0949125 | + | 0.995486i | \(0.530257\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −138.940 | − | 240.652i | −0.576516 | − | 0.998556i | −0.995875 | − | 0.0907351i | \(-0.971078\pi\) |
0.419359 | − | 0.907821i | \(-0.362255\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 50.3232 | + | 237.732i | 0.207091 | + | 0.978322i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −39.0093 | + | 22.5220i | −0.159222 | + | 0.0919267i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −17.7281 | + | 30.7059i | −0.0717736 | + | 0.124315i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −209.600 | + | 253.276i | −0.841765 | + | 1.01717i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 128.325i | 0.511253i | 0.966776 | + | 0.255627i | \(0.0822817\pi\) | ||||
−0.966776 | + | 0.255627i | \(0.917718\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 171.895 | 0.679428 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 46.2627 | − | 273.243i | 0.181422 | − | 1.07154i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 62.3584 | + | 36.0026i | 0.242640 | + | 0.140088i | 0.616389 | − | 0.787442i | \(-0.288595\pi\) |
−0.373750 | + | 0.927530i | \(0.621928\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −236.447 | − | 409.538i | −0.912923 | − | 1.58123i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 137.277 | − | 393.779i | 0.525964 | − | 1.50873i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 113.783 | − | 65.6926i | 0.432634 | − | 0.249782i | −0.267834 | − | 0.963465i | \(-0.586308\pi\) |
0.700468 | + | 0.713683i | \(0.252975\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −132.150 | + | 228.890i | −0.498679 | + | 0.863737i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 31.0370 | + | 83.4989i | 0.116244 | + | 0.312730i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 38.8284i | 0.144344i | 0.997392 | + | 0.0721718i | \(0.0229930\pi\) | ||||
−0.997392 | + | 0.0721718i | \(0.977007\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.802525 | 0.00296135 | 0.00148067 | − | 0.999999i | \(-0.499529\pi\) | ||||
0.00148067 | + | 0.999999i | \(0.499529\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −37.4754 | + | 13.9298i | −0.137273 | + | 0.0510250i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 86.9009 | + | 50.1723i | 0.316003 | + | 0.182445i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 61.1932 | + | 105.990i | 0.220914 | + | 0.382635i | 0.955086 | − | 0.296329i | \(-0.0957626\pi\) |
−0.734172 | + | 0.678964i | \(0.762429\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 47.6579 | + | 250.288i | 0.170817 | + | 0.897088i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −254.139 | + | 146.727i | −0.904408 | + | 0.522160i | −0.878628 | − | 0.477508i | \(-0.841540\pi\) |
−0.0257801 | + | 0.999668i | \(0.508207\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 90.6191 | − | 156.957i | 0.320209 | − | 0.554618i | −0.660322 | − | 0.750983i | \(-0.729580\pi\) |
0.980531 | + | 0.196364i | \(0.0629136\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −368.770 | − | 62.4364i | −1.29393 | − | 0.219075i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 242.554i | 0.845134i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 70.5768 | 0.244210 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 288.806 | + | 239.003i | 0.992462 | + | 0.821316i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −290.545 | − | 167.746i | −0.991622 | − | 0.572513i | −0.0858631 | − | 0.996307i | \(-0.527365\pi\) |
−0.905759 | + | 0.423794i | \(0.860698\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −338.829 | − | 586.870i | −1.14857 | − | 1.98939i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 3.93612 | + | 192.536i | 0.0132529 | + | 0.648268i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −37.1015 | + | 21.4205i | −0.124085 | + | 0.0716406i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 291.020 | − | 504.061i | 0.966843 | − | 1.67462i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 75.3090 | − | 91.0019i | 0.248545 | − | 0.300336i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 317.348i | − | 1.04049i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −289.210 | −0.942053 | −0.471027 | − | 0.882119i | \(-0.656116\pi\) | ||||
−0.471027 | + | 0.882119i | \(0.656116\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −74.8429 | + | 442.047i | −0.242210 | + | 1.43057i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 23.6987 | + | 13.6824i | 0.0762016 | + | 0.0439950i | 0.537617 | − | 0.843189i | \(-0.319325\pi\) |
−0.461415 | + | 0.887184i | \(0.652658\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −293.572 | − | 508.481i | −0.937928 | − | 1.62454i | −0.769327 | − | 0.638855i | \(-0.779408\pi\) |
−0.168601 | − | 0.985684i | \(-0.553925\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −275.470 | − | 319.352i | −0.874508 | − | 1.01381i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 326.081 | − | 188.263i | 1.02865 | − | 0.593889i | 0.112049 | − | 0.993703i | \(-0.464259\pi\) |
0.916596 | + | 0.399814i | \(0.130925\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 165.243 | − | 286.210i | 0.518004 | − | 0.897210i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.439223 | + | 1.18164i | 0.00136830 | + | 0.00368113i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 294.785i | 0.912648i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −25.0087 | −0.0769497 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −181.267 | + | 67.3781i | −0.554335 | + | 0.206049i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −288.428 | − | 166.524i | −0.876680 | − | 0.506151i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.48388 | − | 2.57015i | −0.00448301 | − | 0.00776480i | 0.863775 | − | 0.503877i | \(-0.168094\pi\) |
−0.868258 | + | 0.496113i | \(0.834760\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 429.865 | − | 370.798i | 1.29089 | − | 1.11351i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −616.534 | + | 355.956i | −1.84040 | + | 1.06256i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −329.235 | + | 570.251i | −0.976958 | + | 1.69214i | −0.303641 | + | 0.952786i | \(0.598202\pi\) |
−0.673317 | + | 0.739354i | \(0.735131\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −76.7522 | − | 12.9949i | −0.226408 | − | 0.0383330i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 201.915i | 0.592126i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −313.330 | −0.913499 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −348.162 | − | 288.123i | −1.00917 | − | 0.835139i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 255.949 | + | 147.772i | 0.737606 | + | 0.425857i | 0.821198 | − | 0.570643i | \(-0.193306\pi\) |
−0.0835920 | + | 0.996500i | \(0.526639\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 106.379 | + | 184.254i | 0.304811 | + | 0.527949i | 0.977219 | − | 0.212232i | \(-0.0680733\pi\) |
−0.672408 | + | 0.740181i | \(0.734740\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −24.8422 | − | 41.0660i | −0.0707755 | − | 0.116997i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −124.287 | + | 71.7570i | −0.352087 | + | 0.203278i | −0.665604 | − | 0.746305i | \(-0.731826\pi\) |
0.313517 | + | 0.949583i | \(0.398493\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 266.312 | − | 461.265i | 0.750173 | − | 1.29934i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −211.924 | + | 256.085i | −0.593625 | + | 0.717324i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 270.973i | − | 0.754799i | −0.926051 | − | 0.377400i | \(-0.876818\pi\) | ||
0.926051 | − | 0.377400i | \(-0.123182\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 36.8443 | 0.102062 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 35.1204 | − | 207.433i | 0.0967504 | − | 0.571440i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −511.731 | − | 295.448i | −1.40200 | − | 0.809446i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 200.855 | + | 347.892i | 0.547290 | + | 0.947934i | 0.998459 | + | 0.0554953i | \(0.0176738\pi\) |
−0.451169 | + | 0.892438i | \(0.648993\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −286.038 | + | 54.4652i | −0.775170 | + | 0.147602i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 274.540 | − | 158.506i | 0.740001 | − | 0.427240i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −146.890 | + | 254.422i | −0.393808 | + | 0.682095i | −0.992948 | − | 0.118549i | \(-0.962176\pi\) |
0.599140 | + | 0.800644i | \(0.295509\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 71.4171 | + | 192.134i | 0.190446 | + | 0.512356i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 82.3665i | 0.218479i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −280.802 | −0.740903 | −0.370452 | − | 0.928852i | \(-0.620797\pi\) | ||||
−0.370452 | + | 0.928852i | \(0.620797\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −34.0019 | + | 12.6387i | −0.0892439 | + | 0.0331725i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −546.665 | − | 315.617i | −1.42732 | − | 0.824066i | −0.430416 | − | 0.902631i | \(-0.641633\pi\) |
−0.996909 | + | 0.0785646i | \(0.974966\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −167.115 | − | 289.452i | −0.434066 | − | 0.751824i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 659.775 | + | 230.006i | 1.70485 | + | 0.594331i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 378.049 | − | 218.267i | 0.971849 | − | 0.561097i | 0.0720497 | − | 0.997401i | \(-0.477046\pi\) |
0.899799 | + | 0.436304i | \(0.143713\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −178.092 | + | 308.465i | −0.455479 | + | 0.788913i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −155.240 | − | 26.2837i | −0.395014 | − | 0.0668797i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 445.109i | 1.12686i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −405.382 | −1.02111 | −0.510557 | − | 0.859844i | \(-0.670561\pi\) | ||||
−0.510557 | + | 0.859844i | \(0.670561\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 345.614 | + | 286.014i | 0.866199 | + | 0.716827i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −66.9595 | − | 38.6591i | −0.166981 | − | 0.0964068i | 0.414180 | − | 0.910195i | \(-0.364068\pi\) |
−0.581162 | + | 0.813788i | \(0.697402\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −25.1614 | − | 43.5809i | −0.0624353 | − | 0.108141i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 314.747 | − | 396.565i | 0.777154 | − | 0.979174i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 389.619 | − | 224.946i | 0.957294 | − | 0.552694i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 85.3306 | − | 147.797i | 0.208632 | − | 0.361362i | −0.742652 | − | 0.669678i | \(-0.766432\pi\) |
0.951284 | + | 0.308316i | \(0.0997655\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 267.730 | − | 323.519i | 0.651410 | − | 0.787151i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 812.811i | 1.96807i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 684.964 | 1.65051 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 19.9976 | − | 118.113i | 0.0479559 | − | 0.283244i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 123.529 | + | 71.3195i | 0.294819 | + | 0.170214i | 0.640113 | − | 0.768281i | \(-0.278888\pi\) |
−0.345294 | + | 0.938494i | \(0.612221\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −307.819 | − | 533.158i | −0.731162 | − | 1.26641i | −0.956387 | − | 0.292102i | \(-0.905645\pi\) |
0.225226 | − | 0.974307i | \(-0.427688\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 131.611 | − | 377.529i | 0.311138 | − | 0.892503i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −180.068 | + | 103.962i | −0.423689 | + | 0.244617i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −190.320 | + | 329.644i | −0.445714 | + | 0.772000i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −13.2523 | − | 35.6526i | −0.0308911 | − | 0.0831064i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 405.961i | − | 0.941905i | −0.882159 | − | 0.470953i | \(-0.843910\pi\) | ||
0.882159 | − | 0.470953i | \(-0.156090\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 50.1302 | 0.115774 | 0.0578870 | − | 0.998323i | \(-0.481564\pi\) | ||||
0.0578870 | + | 0.998323i | \(0.481564\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −814.421 | + | 302.725i | −1.87223 | + | 0.695920i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 416.306 | + | 240.354i | 0.952646 | + | 0.550010i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 363.552 | + | 629.690i | 0.828136 | + | 1.43437i | 0.899499 | + | 0.436924i | \(0.143932\pi\) |
−0.0713624 | + | 0.997450i | \(0.522735\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 12.1319 | + | 63.7135i | 0.0275099 | + | 0.144475i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −324.072 | + | 187.103i | −0.731540 | + | 0.422355i | −0.818985 | − | 0.573815i | \(-0.805463\pi\) |
0.0874454 | + | 0.996169i | \(0.472130\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 92.7998 | − | 160.734i | 0.208539 | − | 0.361200i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 11.1422 | + | 1.88649i | 0.0249267 | + | 0.00422033i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 225.368i | 0.501934i | 0.967996 | + | 0.250967i | \(0.0807486\pi\) | ||||
−0.967996 | + | 0.250967i | \(0.919251\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −230.756 | −0.511654 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 346.126 | + | 286.438i | 0.764075 | + | 0.632313i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 72.1396 | + | 41.6498i | 0.158549 | + | 0.0915380i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 390.263 | + | 675.955i | 0.853966 | + | 1.47911i | 0.877601 | + | 0.479392i | \(0.159143\pi\) |
−0.0236344 | + | 0.999721i | \(0.507524\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −349.582 | − | 192.413i | −0.761617 | − | 0.419201i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 474.085 | − | 273.713i | 1.02838 | − | 0.593738i | 0.111863 | − | 0.993724i | \(-0.464318\pi\) |
0.916521 | + | 0.399986i | \(0.130985\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −174.664 | + | 302.526i | −0.377243 | + | 0.653404i | −0.990660 | − | 0.136355i | \(-0.956461\pi\) |
0.613417 | + | 0.789759i | \(0.289795\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 338.441 | − | 408.965i | 0.727830 | − | 0.879495i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 499.358i | − | 1.06929i | −0.845077 | − | 0.534645i | \(-0.820445\pi\) | ||
0.845077 | − | 0.534645i | \(-0.179555\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 853.896 | 1.82067 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 59.0453 | − | 348.741i | 0.125361 | − | 0.740426i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 479.543 | + | 276.865i | 1.01383 | + | 0.585337i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 140.308 | + | 243.020i | 0.295385 | + | 0.511622i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 248.570 | + | 288.166i | 0.521111 | + | 0.604123i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −571.640 | + | 330.036i | −1.19340 | + | 0.689011i | −0.959076 | − | 0.283147i | \(-0.908621\pi\) |
−0.234326 | + | 0.972158i | \(0.575288\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −56.0629 | + | 97.1038i | −0.116555 | + | 0.201879i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 188.859 | + | 508.086i | 0.391011 | + | 1.05194i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 781.053i | − | 1.61042i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −217.861 | −0.447352 | −0.223676 | − | 0.974664i | \(-0.571806\pi\) | ||||
−0.223676 | + | 0.974664i | \(0.571806\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 314.835 | − | 117.026i | 0.643835 | − | 0.239317i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 132.712 | + | 76.6214i | 0.270289 | + | 0.156052i | 0.629019 | − | 0.777390i | \(-0.283457\pi\) |
−0.358730 | + | 0.933441i | \(0.616790\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 342.401 | + | 593.056i | 0.694526 | + | 1.20295i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 303.819 | − | 262.071i | 0.613775 | − | 0.529437i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −553.260 | + | 319.425i | −1.11320 | + | 0.642706i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 153.693 | − | 266.204i | 0.308002 | − | 0.533476i | −0.669923 | − | 0.742431i | \(-0.733673\pi\) |
0.977925 | + | 0.208955i | \(0.0670062\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 4.56572 | + | 0.773022i | 0.00911322 | + | 0.00154296i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − | 797.972i | − | 1.58643i | −0.608945 | − | 0.793213i | \(-0.708407\pi\) | ||
0.608945 | − | 0.793213i | \(-0.291593\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −246.107 | −0.487341 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −383.293 | − | 317.196i | −0.756002 | − | 0.625633i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 260.405 | + | 150.345i | 0.511602 | + | 0.295373i | 0.733492 | − | 0.679698i | \(-0.237889\pi\) |
−0.221890 | + | 0.975072i | \(0.571223\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 354.372 | + | 613.790i | 0.693487 | + | 1.20115i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −259.682 | + | 471.798i | −0.506204 | + | 0.919685i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 808.965 | − | 467.056i | 1.57081 | − | 0.906905i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 158.424 | − | 274.399i | 0.306430 | − | 0.530752i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −101.722 | + | 122.918i | −0.195995 | + | 0.236837i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 928.990i | − | 1.78309i | −0.452932 | − | 0.891545i | \(-0.649622\pi\) | ||
0.452932 | − | 0.891545i | \(-0.350378\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 519.086 | 0.992516 | 0.496258 | − | 0.868175i | \(-0.334707\pi\) | ||||
0.496258 | + | 0.868175i | \(0.334707\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −52.8220 | + | 311.984i | −0.100613 | + | 0.594256i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −362.335 | − | 209.194i | −0.687543 | − | 0.396953i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 25.9164 | + | 44.8885i | 0.0489913 | + | 0.0848554i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −958.529 | + | 182.516i | −1.80514 | + | 0.343721i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 49.8058 | − | 28.7554i | 0.0934443 | − | 0.0539501i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.31326 | − | 2.27464i | 0.00245470 | − | 0.00425167i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 250.278 | + | 673.322i | 0.466067 | + | 1.25386i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 51.3997i | 0.0953613i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −109.959 | −0.203251 | −0.101625 | − | 0.994823i | \(-0.532404\pi\) | ||||
−0.101625 | + | 0.994823i | \(0.532404\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −171.971 | + | 63.9227i | −0.316706 | + | 0.117721i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 348.937 | + | 201.459i | 0.640251 | + | 0.369649i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −489.119 | − | 847.180i | −0.894185 | − | 1.54877i | −0.834810 | − | 0.550539i | \(-0.814422\pi\) |
−0.0593757 | − | 0.998236i | \(-0.518911\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −431.477 | − | 150.419i | −0.785933 | − | 0.273987i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 800.392 | − | 462.107i | 1.45262 | − | 0.838669i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 266.941 | − | 462.355i | 0.482714 | − | 0.836084i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1166.19 | − | 197.448i | −2.10125 | − | 0.355762i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 322.002i | 0.578100i | 0.957314 | + | 0.289050i | \(0.0933394\pi\) | ||||
−0.957314 | + | 0.289050i | \(0.906661\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −138.005 | −0.246878 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −243.629 | − | 201.616i | −0.434276 | − | 0.359387i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 174.603 | + | 100.807i | 0.310129 | + | 0.179053i | 0.646984 | − | 0.762503i | \(-0.276030\pi\) |
−0.336855 | + | 0.941556i | \(0.609363\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 81.0945 | + | 140.460i | 0.143530 | + | 0.248601i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −564.770 | + | 223.170i | −0.996068 | + | 0.393598i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −123.786 | + | 71.4677i | −0.217549 | + | 0.125602i | −0.604815 | − | 0.796366i | \(-0.706753\pi\) |
0.387266 | + | 0.921968i | \(0.373420\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 45.7205 | − | 79.1902i | 0.0800709 | − | 0.138687i | −0.823209 | − | 0.567738i | \(-0.807819\pi\) |
0.903280 | + | 0.429051i | \(0.141152\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 63.8410 | − | 77.1441i | 0.111415 | − | 0.134632i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 339.064i | 0.589676i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 404.739 | 0.701455 | 0.350727 | − | 0.936478i | \(-0.385934\pi\) | ||||
0.350727 | + | 0.936478i | \(0.385934\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −21.3137 | + | 125.886i | −0.0368113 | + | 0.217420i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −711.503 | − | 410.786i | −1.22462 | − | 0.707033i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 150.796 | + | 261.187i | 0.258656 | + | 0.448005i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −32.9178 | + | 94.4249i | −0.0562697 | + | 0.161410i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 702.845 | − | 405.788i | 1.19735 | − | 0.691291i | 0.237387 | − | 0.971415i | \(-0.423709\pi\) |
0.959964 | + | 0.280125i | \(0.0903758\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −282.330 | + | 489.010i | −0.479338 | + | 0.830238i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −212.574 | − | 571.887i | −0.359684 | − | 0.967659i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 95.3026i | − | 0.160713i | −0.996766 | − | 0.0803563i | \(-0.974394\pi\) | ||
0.996766 | − | 0.0803563i | \(-0.0256058\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 692.560 | 1.16397 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 360.390 | − | 133.959i | 0.603668 | − | 0.224387i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 381.733 | + | 220.393i | 0.637283 | + | 0.367936i | 0.783567 | − | 0.621307i | \(-0.213398\pi\) |
−0.146284 | + | 0.989243i | \(0.546731\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 90.4814 | + | 156.718i | 0.150551 | + | 0.260763i | 0.931430 | − | 0.363920i | \(-0.118562\pi\) |
−0.780879 | + | 0.624682i | \(0.785228\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 191.742 | + | 1006.98i | 0.317979 | + | 1.66995i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −379.611 | + | 219.168i | −0.627456 | + | 0.362262i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −277.996 | + | 481.504i | −0.457984 | + | 0.793252i | −0.998854 | − | 0.0478542i | \(-0.984762\pi\) |
0.540870 | + | 0.841106i | \(0.318095\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1027.53 | + | 173.970i | 1.68724 | + | 0.285666i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 78.9674i | 0.129243i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −335.352 | −0.547067 | −0.273534 | − | 0.961862i | \(-0.588192\pi\) | ||||
−0.273534 | + | 0.961862i | \(0.588192\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 467.380 | + | 386.783i | 0.759968 | + | 0.628915i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 1020.64 | + | 589.268i | 1.65420 | + | 0.955053i | 0.975317 | + | 0.220808i | \(0.0708694\pi\) |
0.678884 | + | 0.734246i | \(0.262464\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 449.292 | + | 778.197i | 0.725835 | + | 1.25718i | 0.958629 | + | 0.284658i | \(0.0918800\pi\) |
−0.232794 | + | 0.972526i | \(0.574787\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −556.766 | + | 336.807i | −0.896564 | + | 0.542362i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −192.791 | + | 111.308i | −0.309455 | + | 0.178664i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 389.395 | − | 674.451i | 0.623031 | − | 1.07912i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −272.102 | + | 328.803i | −0.433975 | + | 0.524407i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 932.224i | 1.48207i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −431.017 | −0.683070 | −0.341535 | − | 0.939869i | \(-0.610947\pi\) | ||||
−0.341535 | + | 0.939869i | \(0.610947\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 97.4236 | − | 575.416i | 0.153908 | − | 0.909030i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 65.4531 | + | 37.7894i | 0.103076 | + | 0.0595108i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.40513 | − | 11.0940i | −0.0100551 | − | 0.0174160i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −500.924 | − | 580.720i | −0.783919 | − | 0.908795i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 775.987 | − | 448.016i | 1.21059 | − | 0.698933i | 0.247701 | − | 0.968837i | \(-0.420325\pi\) |
0.962887 | + | 0.269903i | \(0.0869917\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 110.854 | − | 192.004i | 0.172401 | − | 0.298607i | −0.766858 | − | 0.641817i | \(-0.778181\pi\) |
0.939259 | + | 0.343210i | \(0.111514\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −507.215 | − | 1364.56i | −0.786379 | − | 2.11560i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 536.838i | − | 0.829734i | −0.909882 | − | 0.414867i | \(-0.863828\pi\) | ||
0.909882 | − | 0.414867i | \(-0.136172\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −773.276 | −1.19149 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −596.819 | + | 221.841i | −0.916772 | + | 0.340769i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −483.774 | − | 279.307i | −0.740848 | − | 0.427729i | 0.0815296 | − | 0.996671i | \(-0.474019\pi\) |
−0.822378 | + | 0.568942i | \(0.807353\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 164.023 | + | 284.096i | 0.250417 | + | 0.433735i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −644.254 | + | 555.728i | −0.980600 | + | 0.845857i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 933.150 | − | 538.755i | 1.41601 | − | 0.817534i | 0.420064 | − | 0.907494i | \(-0.362007\pi\) |
0.995945 | + | 0.0899606i | \(0.0286741\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 147.880 | − | 256.135i | 0.223721 | − | 0.387496i | −0.732214 | − | 0.681075i | \(-0.761513\pi\) |
0.955935 | + | 0.293579i | \(0.0948463\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 77.7085 | + | 13.1568i | 0.117207 | + | 0.0198444i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | − | 934.683i | − | 1.40554i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1116.71 | 1.67423 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 439.804 | + | 363.961i | 0.657404 | + | 0.544038i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −313.610 | − | 181.063i | −0.467377 | − | 0.269840i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 283.724 | + | 491.424i | 0.421580 | + | 0.730199i | 0.996094 | − | 0.0882963i | \(-0.0281422\pi\) |
−0.574514 | + | 0.818495i | \(0.694809\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −379.777 | + | 7.76401i | −0.562633 | + | 0.0115022i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −813.905 | + | 469.908i | −1.20222 | + | 0.694104i | −0.961049 | − | 0.276378i | \(-0.910866\pi\) |
−0.241174 | + | 0.970482i | \(0.577533\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −468.413 | + | 811.315i | −0.689857 | + | 1.19487i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 708.790 | − | 856.488i | 1.04081 | − | 1.25769i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 14.2541i | − | 0.0208699i | −0.999946 | − | 0.0104349i | \(-0.996678\pi\) | ||
0.999946 | − | 0.0104349i | \(-0.00332161\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −874.930 | −1.27727 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 204.012 | − | 1204.96i | 0.296961 | − | 1.75395i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −65.0950 | − | 37.5826i | −0.0944775 | − | 0.0545466i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 83.1353 | + | 143.995i | 0.120312 | + | 0.208386i | 0.919891 | − | 0.392175i | \(-0.128277\pi\) |
−0.799579 | + | 0.600561i | \(0.794944\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −472.759 | + | 90.0193i | −0.682192 | + | 0.129898i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −216.151 | + | 124.795i | −0.311009 | + | 0.179561i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 239.075 | − | 414.090i | 0.343006 | − | 0.594103i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −22.5007 | − | 60.5337i | −0.0321899 | − | 0.0866004i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 506.174i | − | 0.722074i | −0.932551 | − | 0.361037i | \(-0.882423\pi\) | ||
0.932551 | − | 0.361037i | \(-0.117577\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1258.14 | 1.78967 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −780.812 | + | 290.232i | −1.10753 | + | 0.411677i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 255.643 | + | 147.595i | 0.361588 | + | 0.208763i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −259.993 | − | 450.321i | −0.366704 | − | 0.635150i | 0.622344 | − | 0.782744i | \(-0.286181\pi\) |
−0.989048 | + | 0.147594i | \(0.952847\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 605.185 | + | 210.975i | 0.851175 | + | 0.296731i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −590.863 | + | 341.135i | −0.828700 | + | 0.478450i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −39.6240 | + | 68.6307i | −0.0554181 | + | 0.0959870i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −587.532 | − | 99.4749i | −0.819431 | − | 0.138738i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 467.630i | − | 0.650390i | −0.945647 | − | 0.325195i | \(-0.894570\pi\) | ||
0.945647 | − | 0.325195i | \(-0.105430\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1120.41 | −1.55397 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 642.244 | + | 531.492i | 0.888304 | + | 0.735120i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 564.549 | + | 325.943i | 0.778689 | + | 0.449576i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −262.371 | − | 454.439i | −0.360895 | − | 0.625088i | 0.627214 | − | 0.778847i | \(-0.284195\pi\) |
−0.988108 | + | 0.153759i | \(0.950862\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −389.998 | − | 615.908i | −0.534977 | − | 0.844867i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −993.663 | + | 573.692i | −1.35932 | + | 0.784804i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −329.348 | + | 570.447i | −0.449315 | + | 0.778236i | −0.998342 | − | 0.0575688i | \(-0.981665\pi\) |
0.549027 | + | 0.835805i | \(0.314998\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 86.1540 | − | 104.107i | 0.117216 | − | 0.141642i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 812.363i | 1.10226i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1209.27 | −1.63637 | −0.818183 | − | 0.574957i | \(-0.805019\pi\) | ||||
−0.818183 | + | 0.574957i | \(0.805019\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 17.7565 | − | 104.876i | 0.0239629 | − | 0.141533i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −339.650 | − | 196.097i | −0.457134 | − | 0.263926i | 0.253704 | − | 0.967282i | \(-0.418351\pi\) |
−0.710838 | + | 0.703355i | \(0.751684\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −11.7726 | − | 20.3908i | −0.0158022 | − | 0.0273701i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 324.663 | − | 931.300i | 0.434623 | − | 1.24672i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −2.72829 | + | 1.57518i | −0.00364258 | + | 0.00210305i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −558.493 | + | 967.339i | −0.743666 | + | 1.28807i | 0.207149 | + | 0.978309i | \(0.433581\pi\) |
−0.950815 | + | 0.309758i | \(0.899752\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −134.131 | − | 360.851i | −0.178128 | − | 0.479218i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 936.069i | − | 1.23983i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −623.892 | −0.824164 | −0.412082 | − | 0.911147i | \(-0.635198\pi\) | ||||
−0.412082 | + | 0.911147i | \(0.635198\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −483.373 | + | 179.673i | −0.636855 | + | 0.236723i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −832.456 | − | 480.619i | −1.09390 | − | 0.631562i | −0.159286 | − | 0.987233i | \(-0.550919\pi\) |
−0.934611 | + | 0.355671i | \(0.884252\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −241.638 | − | 418.528i | −0.316694 | − | 0.548530i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 155.514 | + | 816.720i | 0.203286 | + | 1.06761i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 166.902 | − | 96.3610i | 0.217604 | − | 0.125634i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −109.653 | + | 189.924i | −0.142592 | + | 0.246976i | −0.928472 | − | 0.371403i | \(-0.878877\pi\) |
0.785880 | + | 0.618379i | \(0.212210\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −212.985 | − | 36.0604i | −0.276245 | − | 0.0467709i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − | 761.394i | − | 0.984986i | −0.870316 | − | 0.492493i | \(-0.836086\pi\) | ||
0.870316 | − | 0.492493i | \(-0.163914\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −398.278 | −0.513907 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1092.96 | + | 904.486i | 1.40664 | + | 1.16407i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −558.858 | − | 322.657i | −0.717405 | − | 0.414194i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −303.888 | − | 526.349i | −0.389101 | − | 0.673943i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 25.5709 | + | 1250.80i | 0.0326576 | + | 1.59745i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −638.211 | + | 368.471i | −0.813007 | + | 0.469390i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −263.023 | + | 455.569i | −0.334210 | + | 0.578868i | −0.983333 | − | 0.181815i | \(-0.941803\pi\) |
0.649123 | + | 0.760684i | \(0.275136\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −251.295 | + | 303.660i | −0.318498 | + | 0.384867i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 194.536i | − | 0.245937i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 90.2518 | 0.113811 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 132.362 | − | 781.774i | 0.166493 | − | 0.983363i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −1230.12 | − | 710.212i | −1.54344 | − | 0.891107i | −0.998618 | − | 0.0525560i | \(-0.983263\pi\) |
−0.544824 | − | 0.838551i | \(-0.683403\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 328.271 | + | 568.582i | 0.410852 | + | 0.711617i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −174.554 | − | 202.359i | −0.217920 | − | 0.252633i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −583.935 | + | 337.135i | −0.727192 | + | 0.419845i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 564.681 | − | 978.057i | 0.701468 | − | 1.21498i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −40.5852 | − | 109.186i | −0.0502914 | − | 0.135299i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − | 749.612i | − | 0.926590i | −0.886204 | − | 0.463295i | \(-0.846667\pi\) | ||
0.886204 | − | 0.463295i | \(-0.153333\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −238.446 | −0.294015 | −0.147008 | − | 0.989135i | \(-0.546964\pi\) | ||||
−0.147008 | + | 0.989135i | \(0.546964\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.25672 | + | 0.838834i | −0.00277579 | + | 0.00103178i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −606.052 | − | 349.905i | −0.743623 | − | 0.429331i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 774.258 | + | 1341.05i | 0.947684 | + | 1.64144i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 90.8217 | − | 78.3420i | 0.110893 | − | 0.0956557i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 937.937 | − | 541.518i | 1.14243 | − | 0.659583i | 0.195400 | − | 0.980724i | \(-0.437399\pi\) |
0.947032 | + | 0.321140i | \(0.104066\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 787.881 | − | 1364.65i | 0.957328 | − | 1.65814i | 0.228379 | − | 0.973572i | \(-0.426657\pi\) |
0.728949 | − | 0.684568i | \(-0.240009\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −296.810 | − | 50.2528i | −0.359769 | − | 0.0609125i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 124.799i | 0.150906i | 0.997149 | + | 0.0754529i | \(0.0240403\pi\) | ||||
−0.997149 | + | 0.0754529i | \(0.975960\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 426.486 | 0.514458 | 0.257229 | − | 0.966350i | \(-0.417190\pi\) | ||||
0.257229 | + | 0.966350i | \(0.417190\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −282.862 | − | 234.084i | −0.340387 | − | 0.281689i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −92.2365 | − | 53.2528i | −0.110728 | − | 0.0639289i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.82403 | − | 8.35547i | −0.00577728 | − | 0.0100065i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −395.627 | − | 654.000i | −0.472672 | − | 0.781362i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −430.710 | + | 248.671i | −0.513362 | + | 0.296389i | −0.734214 | − | 0.678918i | \(-0.762449\pi\) |
0.220853 | + | 0.975307i | \(0.429116\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 652.999 | − | 1131.03i | 0.776455 | − | 1.34486i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 561.278 | − | 678.236i | 0.665810 | − | 0.804551i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 1036.58i | 1.22673i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 525.759 | 0.620730 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −90.7645 | + | 536.085i | −0.106908 | + | 0.631431i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1316.52 | + | 760.092i | 1.54703 | + | 0.893176i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 767.481 | + | 1329.32i | 0.899743 | + | 1.55840i | 0.827823 | + | 0.560990i | \(0.189579\pi\) |
0.0719203 | + | 0.997410i | \(0.477087\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 1102.25 | − | 209.882i | 1.28918 | − | 0.245476i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1055.08 | − | 609.149i | 1.23113 | − | 0.710792i | 0.263863 | − | 0.964560i | \(-0.415003\pi\) |
0.967265 | + | 0.253768i | \(0.0816699\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 289.720 | − | 501.811i | 0.337276 | − | 0.584180i | −0.646643 | − | 0.762793i | \(-0.723828\pi\) |
0.983919 | + | 0.178613i | \(0.0571610\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −253.528 | − | 682.066i | −0.294457 | − | 0.792179i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1361.09i | 1.57716i | 0.614934 | + | 0.788579i | \(0.289183\pi\) | ||||
−0.614934 | + | 0.788579i | \(0.710817\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 332.422 | 0.384303 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −198.463 | + | 73.7700i | −0.228908 | + | 0.0850865i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 439.866 | + | 253.957i | 0.506175 | + | 0.292240i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −101.232 | − | 175.339i | −0.116225 | − | 0.201307i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −1061.95 | − | 370.208i | −1.21643 | − | 0.424065i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −443.617 | + | 256.122i | −0.506991 | + | 0.292711i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 150.947 | − | 261.448i | 0.172118 | − | 0.298117i | −0.767042 | − | 0.641597i | \(-0.778272\pi\) |
0.939160 | + | 0.343480i | \(0.111606\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 992.355 | + | 168.016i | 1.12896 | + | 0.191144i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1170.94i | 1.32911i | 0.747240 | + | 0.664554i | \(0.231378\pi\) | ||||
−0.747240 | + | 0.664554i | \(0.768622\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1339.68 | −1.51719 | −0.758597 | − | 0.651560i | \(-0.774115\pi\) | ||||
−0.758597 | + | 0.651560i | \(0.774115\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1566.22 | + | 1296.13i | 1.76974 | + | 1.46455i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −14.4375 | − | 8.33547i | −0.0162767 | − | 0.00939738i | 0.491840 | − | 0.870686i | \(-0.336325\pi\) |
−0.508116 | + | 0.861288i | \(0.669658\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −45.3261 | − | 78.5071i | −0.0509855 | − | 0.0883094i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −212.315 | − | 537.300i | −0.238289 | − | 0.603031i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 767.362 | − | 443.037i | 0.859308 | − | 0.496122i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 748.323 | − | 1296.13i | 0.836115 | − | 1.44819i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 81.9404 | − | 99.0151i | 0.0913494 | − | 0.110385i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1311.74i | 1.45911i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −624.930 | −0.693596 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −291.487 | + | 1721.62i | −0.322798 | + | 1.90655i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 331.042 | + | 191.127i | 0.365792 | + | 0.211190i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −225.668 | − | 390.868i | −0.248807 | − | 0.430946i | 0.714388 | − | 0.699750i | \(-0.246705\pi\) |
−0.963195 | + | 0.268803i | \(0.913372\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −116.651 | + | 334.616i | −0.128329 | + | 0.368114i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1243.11 | − | 717.711i | 1.36456 | − | 0.787827i | 0.374331 | − | 0.927295i | \(-0.377873\pi\) |
0.990227 | + | 0.139468i | \(0.0445392\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 390.806 | − | 676.895i | 0.428046 | − | 0.741397i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 331.706 | + | 892.390i | 0.362521 | + | 0.975289i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 393.472i | − | 0.429086i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −380.633 | −0.414181 | −0.207091 | − | 0.978322i | \(-0.566400\pi\) | ||||
−0.207091 | + | 0.978322i | \(0.566400\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 813.266 | − | 302.295i | 0.883024 | − | 0.328225i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 131.181 | + | 75.7374i | 0.142125 | + | 0.0820557i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 443.707 | + | 768.523i | 0.479683 | + | 0.830836i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −251.587 | − | 1321.27i | −0.271399 | − | 1.42532i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −856.635 | + | 494.578i | −0.922104 | + | 0.532377i | −0.884306 | − | 0.466908i | \(-0.845368\pi\) |
−0.0377985 | + | 0.999285i | \(0.512035\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −71.8703 | + | 124.483i | −0.0771969 | + | 0.133709i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −80.9427 | − | 13.7044i | −0.0867553 | − | 0.0146885i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 658.874i | 0.704678i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −549.202 | −0.586128 | −0.293064 | − | 0.956093i | \(-0.594675\pi\) | ||||
−0.293064 | + | 0.956093i | \(0.594675\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 1357.02 | + | 1123.00i | 1.44517 | + | 1.19596i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 405.479 | + | 234.103i | 0.430902 | + | 0.248781i | 0.699731 | − | 0.714407i | \(-0.253303\pi\) |
−0.268829 | + | 0.963188i | \(0.586637\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −389.861 | − | 675.259i | −0.413427 | − | 0.716076i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1108.43 | + | 610.090i | 1.17294 | + | 0.645598i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −260.869 | + | 150.613i | −0.275469 | + | 0.159042i | −0.631370 | − | 0.775482i | \(-0.717507\pi\) |
0.355902 | + | 0.934523i | \(0.384174\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 84.0235 | − | 145.533i | 0.0885390 | − | 0.153354i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −720.165 | + | 870.233i | −0.757271 | + | 0.915071i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 319.384i | 0.335135i | 0.985861 | + | 0.167567i | \(0.0535912\pi\) | ||||
−0.985861 | + | 0.167567i | \(0.946409\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −208.630 | −0.218461 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −165.509 | + | 977.548i | −0.172945 | + | 1.02147i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 908.829 | + | 524.713i | 0.947685 | + | 0.547146i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 79.7892 | + | 138.199i | 0.0830272 | + | 0.143807i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −2.47021 | − | 2.86371i | −0.00256512 | − | 0.00297374i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 230.377 | − | 133.008i | 0.238732 | − | 0.137832i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 302.086 | − | 523.229i | 0.312395 | − | 0.541085i | −0.666485 | − | 0.745518i | \(-0.732202\pi\) |
0.978880 | + | 0.204434i | \(0.0655353\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −308.123 | − | 828.943i | −0.317980 | − | 0.855462i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 465.068i | 0.478958i | 0.970902 | + | 0.239479i | \(0.0769766\pi\) | ||||
−0.970902 | + | 0.239479i | \(0.923023\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 299.368 | 0.307675 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 70.3249 | − | 26.1402i | 0.0721281 | − | 0.0268104i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −332.512 | − | 191.976i | −0.340340 | − | 0.196495i | 0.320083 | − | 0.947390i | \(-0.396289\pi\) |
−0.660422 | + | 0.750894i | \(0.729623\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −105.894 | − | 183.413i | −0.108165 | − | 0.187348i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 439.301 | − | 378.938i | 0.447810 | − | 0.386277i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −586.197 | + | 338.441i | −0.596335 | + | 0.344294i | −0.767598 | − | 0.640931i | \(-0.778548\pi\) |
0.171264 | + | 0.985225i | \(0.445215\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −635.589 | + | 1100.87i | −0.645268 | + | 1.11764i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 985.123 | + | 166.791i | 0.998098 | + | 0.168988i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1871.05i | 1.89186i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1097.79 | −1.10776 | −0.553878 | − | 0.832598i | \(-0.686853\pi\) | ||||
−0.553878 | + | 0.832598i | \(0.686853\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 6.85912 | + | 5.67630i | 0.00690748 | + | 0.00571631i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −693.744 | − | 400.533i | −0.697230 | − | 0.402546i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −90.7127 | − | 157.119i | −0.0909857 | − | 0.157592i | 0.816940 | − | 0.576722i | \(-0.195668\pi\) |
−0.907926 | + | 0.419130i | \(0.862335\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −821.215 | + | 1492.01i | −0.822037 | + | 1.49350i |
(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 | 288.3.q.b.257.1 | yes | 24 | |
3.2 | odd | 2 | 864.3.q.a.449.3 | 24 | |||
4.3 | odd | 2 | inner | 288.3.q.b.257.12 | yes | 24 | |
8.3 | odd | 2 | 576.3.q.l.257.1 | 24 | |||
8.5 | even | 2 | 576.3.q.l.257.12 | 24 | |||
9.2 | odd | 6 | inner | 288.3.q.b.65.1 | ✓ | 24 | |
9.4 | even | 3 | 2592.3.e.i.161.19 | 24 | |||
9.5 | odd | 6 | 2592.3.e.i.161.20 | 24 | |||
9.7 | even | 3 | 864.3.q.a.737.3 | 24 | |||
12.11 | even | 2 | 864.3.q.a.449.4 | 24 | |||
24.5 | odd | 2 | 1728.3.q.k.449.9 | 24 | |||
24.11 | even | 2 | 1728.3.q.k.449.10 | 24 | |||
36.7 | odd | 6 | 864.3.q.a.737.4 | 24 | |||
36.11 | even | 6 | inner | 288.3.q.b.65.12 | yes | 24 | |
36.23 | even | 6 | 2592.3.e.i.161.6 | 24 | |||
36.31 | odd | 6 | 2592.3.e.i.161.5 | 24 | |||
72.11 | even | 6 | 576.3.q.l.65.1 | 24 | |||
72.29 | odd | 6 | 576.3.q.l.65.12 | 24 | |||
72.43 | odd | 6 | 1728.3.q.k.1601.10 | 24 | |||
72.61 | even | 6 | 1728.3.q.k.1601.9 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.3.q.b.65.1 | ✓ | 24 | 9.2 | odd | 6 | inner | |
288.3.q.b.65.12 | yes | 24 | 36.11 | even | 6 | inner | |
288.3.q.b.257.1 | yes | 24 | 1.1 | even | 1 | trivial | |
288.3.q.b.257.12 | yes | 24 | 4.3 | odd | 2 | inner | |
576.3.q.l.65.1 | 24 | 72.11 | even | 6 | |||
576.3.q.l.65.12 | 24 | 72.29 | odd | 6 | |||
576.3.q.l.257.1 | 24 | 8.3 | odd | 2 | |||
576.3.q.l.257.12 | 24 | 8.5 | even | 2 | |||
864.3.q.a.449.3 | 24 | 3.2 | odd | 2 | |||
864.3.q.a.449.4 | 24 | 12.11 | even | 2 | |||
864.3.q.a.737.3 | 24 | 9.7 | even | 3 | |||
864.3.q.a.737.4 | 24 | 36.7 | odd | 6 | |||
1728.3.q.k.449.9 | 24 | 24.5 | odd | 2 | |||
1728.3.q.k.449.10 | 24 | 24.11 | even | 2 | |||
1728.3.q.k.1601.9 | 24 | 72.61 | even | 6 | |||
1728.3.q.k.1601.10 | 24 | 72.43 | odd | 6 | |||
2592.3.e.i.161.5 | 24 | 36.31 | odd | 6 | |||
2592.3.e.i.161.6 | 24 | 36.23 | even | 6 | |||
2592.3.e.i.161.19 | 24 | 9.4 | even | 3 | |||
2592.3.e.i.161.20 | 24 | 9.5 | odd | 6 |