Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(49,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 5, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.n (of order \(8\), degree \(4\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 241.5 | ||
Character | \(\chi\) | \(=\) | 384.241 |
Dual form | 384.2.n.a.145.5 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.382683 | + | 0.923880i | 0.220942 | + | 0.533402i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.09318 | − | 1.28124i | −1.38331 | − | 0.572987i | −0.437949 | − | 0.899000i | \(-0.644295\pi\) |
−0.945365 | + | 0.326013i | \(0.894295\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.73503 | + | 1.73503i | 0.655778 | + | 0.655778i | 0.954378 | − | 0.298600i | \(-0.0965198\pi\) |
−0.298600 | + | 0.954378i | \(0.596520\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.707107 | + | 0.707107i | −0.235702 | + | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.39923 | + | 5.79225i | −0.723394 | + | 1.74643i | −0.0599515 | + | 0.998201i | \(0.519095\pi\) |
−0.663443 | + | 0.748227i | \(0.730905\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0173304 | − | 0.00717850i | 0.00480660 | − | 0.00199096i | −0.380279 | − | 0.924872i | \(-0.624172\pi\) |
0.385085 | + | 0.922881i | \(0.374172\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 3.34804i | − | 0.864460i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.57978i | 1.35329i | 0.736307 | + | 0.676647i | \(0.236568\pi\) | ||||
−0.736307 | + | 0.676647i | \(0.763432\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.03052 | − | 0.426856i | 0.236418 | − | 0.0979274i | −0.261329 | − | 0.965250i | \(-0.584161\pi\) |
0.497747 | + | 0.867322i | \(0.334161\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.938989 | + | 2.26692i | −0.204904 | + | 0.494682i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.01868 | + | 2.01868i | −0.420923 | + | 0.420923i | −0.885522 | − | 0.464598i | \(-0.846199\pi\) |
0.464598 | + | 0.885522i | \(0.346199\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.39068 | + | 4.39068i | 0.878136 | + | 0.878136i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.923880 | − | 0.382683i | −0.177801 | − | 0.0736475i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.706079 | − | 1.70463i | −0.131116 | − | 0.316541i | 0.844664 | − | 0.535297i | \(-0.179800\pi\) |
−0.975780 | + | 0.218756i | \(0.929800\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.38048 | −0.247941 | −0.123971 | − | 0.992286i | \(-0.539563\pi\) | ||||
−0.123971 | + | 0.992286i | \(0.539563\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −6.26948 | −1.09138 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −3.14377 | − | 7.58973i | −0.531394 | − | 1.28290i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.87315 | − | 1.19010i | −0.472342 | − | 0.195651i | 0.133797 | − | 0.991009i | \(-0.457283\pi\) |
−0.606140 | + | 0.795358i | \(0.707283\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.0132641 | + | 0.0132641i | 0.00212396 | + | 0.00212396i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 6.97897 | − | 6.97897i | 1.08993 | − | 1.08993i | 0.0943974 | − | 0.995535i | \(-0.469908\pi\) |
0.995535 | − | 0.0943974i | \(-0.0300924\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.67010 | + | 4.03197i | −0.254687 | + | 0.614869i | −0.998571 | − | 0.0534396i | \(-0.982982\pi\) |
0.743884 | + | 0.668309i | \(0.232982\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.09318 | − | 1.28124i | 0.461105 | − | 0.190996i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.15993i | 0.169193i | 0.996415 | + | 0.0845966i | \(0.0269601\pi\) | ||||
−0.996415 | + | 0.0845966i | \(0.973040\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 0.979375i | − | 0.139911i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.15504 | + | 2.13529i | −0.721850 | + | 0.299000i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 2.56680 | − | 6.19681i | 0.352577 | − | 0.851197i | −0.643723 | − | 0.765258i | \(-0.722611\pi\) |
0.996300 | − | 0.0859383i | \(-0.0273888\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 14.8425 | − | 14.8425i | 2.00136 | − | 2.00136i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.788727 | + | 0.788727i | 0.104469 | + | 0.104469i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.735935 | + | 0.304834i | 0.0958106 | + | 0.0396860i | 0.430074 | − | 0.902794i | \(-0.358487\pi\) |
−0.334263 | + | 0.942480i | \(0.608487\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.82262 | + | 11.6428i | 0.617473 | + | 1.49071i | 0.854629 | + | 0.519240i | \(0.173785\pi\) |
−0.237156 | + | 0.971472i | \(0.576215\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.45370 | −0.309137 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −0.0628036 | −0.00778983 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.05899 | + | 4.97085i | 0.251546 | + | 0.607286i | 0.998329 | − | 0.0577816i | \(-0.0184027\pi\) |
−0.746783 | + | 0.665068i | \(0.768403\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −2.63753 | − | 1.09250i | −0.317521 | − | 0.131522i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.78298 | + | 1.78298i | 0.211600 | + | 0.211600i | 0.804947 | − | 0.593347i | \(-0.202194\pi\) |
−0.593347 | + | 0.804947i | \(0.702194\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.67500 | − | 1.67500i | 0.196044 | − | 0.196044i | −0.602258 | − | 0.798302i | \(-0.705732\pi\) |
0.798302 | + | 0.602258i | \(0.205732\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.37622 | + | 5.73670i | −0.274382 | + | 0.662417i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −14.2124 | + | 5.88697i | −1.61965 | + | 0.670883i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 2.67236i | − | 0.300664i | −0.988636 | − | 0.150332i | \(-0.951966\pi\) | ||
0.988636 | − | 0.150332i | \(-0.0480343\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | − | 1.00000i | − | 0.111111i | ||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.91877 | − | 2.86585i | 0.759433 | − | 0.314568i | 0.0308494 | − | 0.999524i | \(-0.490179\pi\) |
0.728584 | + | 0.684956i | \(0.240179\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.14903 | − | 17.2593i | 0.775421 | − | 1.87203i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.30466 | − | 1.30466i | 0.139875 | − | 0.139875i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 6.73869 | + | 6.73869i | 0.714300 | + | 0.714300i | 0.967432 | − | 0.253132i | \(-0.0814607\pi\) |
−0.253132 | + | 0.967432i | \(0.581461\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0425236 | + | 0.0176139i | 0.00445769 | + | 0.00184643i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.528286 | − | 1.27540i | −0.0547807 | − | 0.132252i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −3.73450 | −0.383151 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.75001 | −0.177686 | −0.0888431 | − | 0.996046i | \(-0.528317\pi\) | ||||
−0.0888431 | + | 0.996046i | \(0.528317\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.39923 | − | 5.79225i | −0.241131 | − | 0.582143i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.71200 | − | 3.19442i | −0.767373 | − | 0.317856i | −0.0355651 | − | 0.999367i | \(-0.511323\pi\) |
−0.731808 | + | 0.681511i | \(0.761323\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.90293 | + | 3.90293i | 0.384567 | + | 0.384567i | 0.872744 | − | 0.488177i | \(-0.162338\pi\) |
−0.488177 | + | 0.872744i | \(0.662338\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 5.80893 | − | 5.80893i | 0.566894 | − | 0.566894i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 5.55747 | − | 13.4169i | 0.537261 | − | 1.29706i | −0.389366 | − | 0.921083i | \(-0.627306\pi\) |
0.926628 | − | 0.375981i | \(-0.122694\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.8488 | − | 6.15056i | 1.42225 | − | 0.589117i | 0.466828 | − | 0.884348i | \(-0.345397\pi\) |
0.955426 | + | 0.295231i | \(0.0953967\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 3.10987i | − | 0.295176i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − | 2.72924i | − | 0.256745i | −0.991726 | − | 0.128373i | \(-0.959025\pi\) | ||
0.991726 | − | 0.128373i | \(-0.0409753\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.83055 | − | 3.65773i | 0.823453 | − | 0.341085i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.00717850 | + | 0.0173304i | −0.000663652 | + | 0.00160220i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −9.68106 | + | 9.68106i | −0.887461 | + | 0.887461i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −20.0157 | − | 20.0157i | −1.81961 | − | 1.81961i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.11846 | + | 3.77699i | 0.822184 | + | 0.340560i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.54948 | − | 3.74078i | −0.138590 | − | 0.334585i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.3336 | −1.36064 | −0.680319 | − | 0.732916i | \(-0.738159\pi\) | ||||
−0.680319 | + | 0.732916i | \(0.738159\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.36417 | −0.384244 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.70595 | − | 13.7754i | −0.498531 | − | 1.20356i | −0.950275 | − | 0.311412i | \(-0.899198\pi\) |
0.451744 | − | 0.892148i | \(-0.350802\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.52859 | + | 1.04737i | 0.219256 | + | 0.0908189i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 2.36742 | + | 2.36742i | 0.203755 | + | 0.203755i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.06155 | + | 3.06155i | −0.261566 | + | 0.261566i | −0.825690 | − | 0.564124i | \(-0.809214\pi\) |
0.564124 | + | 0.825690i | \(0.309214\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.621401 | + | 1.50020i | −0.0527066 | + | 0.127245i | −0.948040 | − | 0.318152i | \(-0.896938\pi\) |
0.895333 | + | 0.445397i | \(0.146938\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.07164 | + | 0.443886i | −0.0902480 | + | 0.0373819i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.117605i | 0.00983462i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.17738i | 0.513003i | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.904825 | − | 0.374791i | 0.0746287 | − | 0.0309122i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −8.53959 | + | 20.6164i | −0.699591 | + | 1.68896i | 0.0249118 | + | 0.999690i | \(0.492070\pi\) |
−0.724503 | + | 0.689272i | \(0.757930\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.42348 | + | 9.42348i | −0.766872 | + | 0.766872i | −0.977555 | − | 0.210683i | \(-0.932431\pi\) |
0.210683 | + | 0.977555i | \(0.432431\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −3.94550 | − | 3.94550i | −0.318975 | − | 0.318975i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.27007 | + | 1.76872i | 0.342981 | + | 0.142067i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 7.53965 | + | 18.2023i | 0.601729 | + | 1.45270i | 0.871800 | + | 0.489863i | \(0.162953\pi\) |
−0.270070 | + | 0.962841i | \(0.587047\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 6.70737 | 0.531929 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −7.00491 | −0.552064 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.01448 | + | 14.5202i | 0.471090 | + | 1.13731i | 0.963682 | + | 0.267052i | \(0.0860495\pi\) |
−0.492592 | + | 0.870260i | \(0.663950\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 19.3927 | + | 8.03271i | 1.50972 | + | 0.625345i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 11.8392 | + | 11.8392i | 0.916142 | + | 0.916142i | 0.996746 | − | 0.0806038i | \(-0.0256848\pi\) |
−0.0806038 | + | 0.996746i | \(0.525685\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.19214 | + | 9.19214i | −0.707088 | + | 0.707088i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.426856 | + | 1.03052i | −0.0326425 | + | 0.0788059i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 21.0615 | − | 8.72397i | 1.60128 | − | 0.663271i | 0.609683 | − | 0.792645i | \(-0.291297\pi\) |
0.991596 | + | 0.129374i | \(0.0412968\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 15.2359i | 1.15172i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.796570i | 0.0598739i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.75826 | − | 1.97094i | 0.355649 | − | 0.147315i | −0.197703 | − | 0.980262i | \(-0.563348\pi\) |
0.553353 | + | 0.832947i | \(0.313348\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.71100 | + | 8.95914i | −0.275836 | + | 0.665928i | −0.999712 | − | 0.0240027i | \(-0.992359\pi\) |
0.723876 | + | 0.689931i | \(0.242359\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −8.91104 | + | 8.91104i | −0.658723 | + | 0.658723i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.36237 | + | 7.36237i | 0.541293 | + | 0.541293i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −32.3195 | − | 13.3872i | −2.36343 | − | 0.978966i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.938989 | − | 2.26692i | −0.0683014 | − | 0.164894i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.4844 | −0.830980 | −0.415490 | − | 0.909598i | \(-0.636390\pi\) | ||||
−0.415490 | + | 0.909598i | \(0.636390\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 19.2681 | 1.38695 | 0.693474 | − | 0.720482i | \(-0.256079\pi\) | ||||
0.693474 | + | 0.720482i | \(0.256079\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.0240339 | − | 0.0580229i | −0.00172110 | − | 0.00415511i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 6.48659 | + | 2.68683i | 0.462151 | + | 0.191429i | 0.601596 | − | 0.798801i | \(-0.294532\pi\) |
−0.139445 | + | 0.990230i | \(0.544532\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.6525 | − | 14.6525i | −1.03868 | − | 1.03868i | −0.999221 | − | 0.0394638i | \(-0.987435\pi\) |
−0.0394638 | − | 0.999221i | \(-0.512565\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.80452 | + | 3.80452i | −0.268350 | + | 0.268350i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.73250 | − | 4.18263i | 0.121598 | − | 0.293563i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −30.5290 | + | 12.6455i | −2.13224 | + | 0.883201i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − | 2.85484i | − | 0.198425i | ||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 6.99316i | 0.483727i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.80379 | − | 1.16137i | 0.193021 | − | 0.0799519i | −0.284079 | − | 0.958801i | \(-0.591688\pi\) |
0.477100 | + | 0.878849i | \(0.341688\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −0.964940 | + | 2.32957i | −0.0661166 | + | 0.159620i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.3318 | − | 10.3318i | 0.704625 | − | 0.704625i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.39517 | − | 2.39517i | −0.162594 | − | 0.162594i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.18850 | + | 0.906505i | 0.147885 | + | 0.0612559i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 0.0400544 | + | 0.0966999i | 0.00269435 | + | 0.00650474i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.12103 | 0.409894 | 0.204947 | − | 0.978773i | \(-0.434298\pi\) | ||||
0.204947 | + | 0.978773i | \(0.434298\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −6.20936 | −0.413957 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 6.52469 | + | 15.7520i | 0.433059 | + | 1.04550i | 0.978296 | + | 0.207214i | \(0.0664397\pi\) |
−0.545237 | + | 0.838282i | \(0.683560\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.60895 | − | 3.56595i | −0.568896 | − | 0.235644i | 0.0796463 | − | 0.996823i | \(-0.474621\pi\) |
−0.648542 | + | 0.761179i | \(0.724621\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −10.8777 | − | 10.8777i | −0.715701 | − | 0.715701i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.99720 | − | 7.99720i | 0.523914 | − | 0.523914i | −0.394837 | − | 0.918751i | \(-0.629199\pi\) |
0.918751 | + | 0.394837i | \(0.129199\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.48615 | − | 3.58788i | 0.0969456 | − | 0.234047i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.46894 | − | 1.02267i | 0.160375 | − | 0.0664295i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.26707i | 0.405383i | 0.979243 | + | 0.202692i | \(0.0649689\pi\) | ||||
−0.979243 | + | 0.202692i | \(0.935031\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 15.7602i | − | 1.01520i | −0.861592 | − | 0.507601i | \(-0.830532\pi\) | ||
0.861592 | − | 0.507601i | \(-0.169468\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.923880 | − | 0.382683i | 0.0592669 | − | 0.0245492i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.25481 | + | 3.02939i | −0.0801671 | + | 0.193541i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0147952 | − | 0.0147952i | 0.000941395 | − | 0.000941395i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.29540 | + | 5.29540i | 0.335582 | + | 0.335582i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 19.0196 | + | 7.87816i | 1.20050 | + | 0.497265i | 0.891162 | − | 0.453686i | \(-0.149891\pi\) |
0.309342 | + | 0.950951i | \(0.399891\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.84941 | − | 16.5359i | −0.430619 | − | 1.03961i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 18.6813 | 1.16987 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −5.22771 | −0.326096 | −0.163048 | − | 0.986618i | \(-0.552132\pi\) | ||||
−0.163048 | + | 0.986618i | \(0.552132\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −2.92013 | − | 7.04983i | −0.181448 | − | 0.438055i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.70463 | + | 0.706079i | 0.105514 | + | 0.0437052i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.59065 | − | 5.59065i | −0.344734 | − | 0.344734i | 0.513410 | − | 0.858144i | \(-0.328382\pi\) |
−0.858144 | + | 0.513410i | \(0.828382\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −15.8792 | + | 15.8792i | −0.975450 | + | 0.975450i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.64695 | + | 8.80452i | −0.223190 | + | 0.538828i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 9.92617 | − | 4.11155i | 0.605209 | − | 0.250686i | −0.0589693 | − | 0.998260i | \(-0.518781\pi\) |
0.664179 | + | 0.747574i | \(0.268781\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 15.4368i | 0.937717i | 0.883273 | + | 0.468858i | \(0.155335\pi\) | ||||
−0.883273 | + | 0.468858i | \(0.844665\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0.0460272i | 0.00278569i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −35.9662 | + | 14.8977i | −2.16884 | + | 0.898363i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.79136 | − | 4.32473i | 0.107633 | − | 0.259848i | −0.860882 | − | 0.508804i | \(-0.830088\pi\) |
0.968515 | + | 0.248956i | \(0.0800876\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.976146 | − | 0.976146i | 0.0584403 | − | 0.0584403i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.70347 | − | 3.70347i | −0.220931 | − | 0.220931i | 0.587960 | − | 0.808890i | \(-0.299931\pi\) |
−0.808890 | + | 0.587960i | \(0.799931\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 16.1605 | + | 6.69389i | 0.960641 | + | 0.397910i | 0.807220 | − | 0.590250i | \(-0.200971\pi\) |
0.153421 | + | 0.988161i | \(0.450971\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.42913 | − | 3.45022i | −0.0846543 | − | 0.204374i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 24.2174 | 1.42951 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −14.1339 | −0.831407 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.669698 | − | 1.61679i | −0.0392584 | − | 0.0947782i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 13.5656 | + | 5.61904i | 0.792509 | + | 0.328268i | 0.741952 | − | 0.670453i | \(-0.233900\pi\) |
0.0505573 | + | 0.998721i | \(0.483900\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.88582 | − | 1.88582i | −0.109796 | − | 0.109796i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.43319 | − | 4.43319i | 0.257240 | − | 0.257240i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −0.0204935 | + | 0.0494756i | −0.00118517 | + | 0.00286125i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −9.89322 | + | 4.09791i | −0.570236 | + | 0.236199i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | − | 8.34741i | − | 0.479546i | ||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | − | 42.1923i | − | 2.41593i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.6321 | + | 6.47504i | −0.892173 | + | 0.369550i | −0.781206 | − | 0.624274i | \(-0.785395\pi\) |
−0.110968 | + | 0.993824i | \(0.535395\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.11225 | + | 5.09942i | −0.120162 | + | 0.290096i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −22.8167 | + | 22.8167i | −1.29381 | + | 1.29381i | −0.361407 | + | 0.932408i | \(0.617703\pi\) |
−0.932408 | + | 0.361407i | \(0.882297\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.52178 | + | 7.52178i | 0.425156 | + | 0.425156i | 0.886974 | − | 0.461819i | \(-0.152803\pi\) |
−0.461819 | + | 0.886974i | \(0.652803\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 7.58973 | + | 3.14377i | 0.427633 | + | 0.177131i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −9.98241 | − | 24.0997i | −0.560668 | − | 1.35357i | −0.909233 | − | 0.416288i | \(-0.863331\pi\) |
0.348565 | − | 0.937285i | \(-0.386669\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.5677 | 0.647665 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 14.5224 | 0.810560 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.38176 | + | 5.75008i | 0.132525 | + | 0.319943i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.107611 | + | 0.0445739i | 0.00596918 | + | 0.00247251i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 11.3648 | + | 11.3648i | 0.628472 | + | 0.628472i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.01251 | + | 2.01251i | −0.110953 | + | 0.110953i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.9034 | − | 31.1516i | 0.709235 | − | 1.71225i | 0.00733222 | − | 0.999973i | \(-0.497666\pi\) |
0.701903 | − | 0.712272i | \(-0.252334\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.87315 | − | 1.19010i | 0.157447 | − | 0.0652169i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 18.0138i | − | 0.984200i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.925243i | 0.0504012i | 0.999682 | + | 0.0252006i | \(0.00802245\pi\) | ||||
−0.999682 | + | 0.0252006i | \(0.991978\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.52149 | − | 1.04443i | 0.136948 | − | 0.0567259i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.31208 | − | 7.99607i | 0.179359 | − | 0.433012i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.8444 | − | 13.8444i | 0.747528 | − | 0.747528i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.75861 | + | 6.75861i | 0.363871 | + | 0.363871i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −8.68292 | − | 3.59658i | −0.466123 | − | 0.193075i | 0.137245 | − | 0.990537i | \(-0.456175\pi\) |
−0.603369 | + | 0.797462i | \(0.706175\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.586633 | + | 1.41626i | 0.0314017 | + | 0.0758105i | 0.938802 | − | 0.344456i | \(-0.111937\pi\) |
−0.907401 | + | 0.420266i | \(0.861937\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −0.0187583 | −0.00100125 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 10.8550 | 0.577751 | 0.288876 | − | 0.957367i | \(-0.406719\pi\) | ||||
0.288876 | + | 0.957367i | \(0.406719\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.23066 | − | 7.79949i | −0.171465 | − | 0.413954i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −12.6489 | − | 5.23935i | −0.669451 | − | 0.277296i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −21.6767 | − | 21.6767i | −1.14406 | − | 1.14406i | −0.987701 | − | 0.156354i | \(-0.950026\pi\) |
−0.156354 | − | 0.987701i | \(-0.549974\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.5553 | + | 12.5553i | −0.660803 | + | 0.660803i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 10.8324 | − | 26.1517i | 0.568553 | − | 1.37261i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −7.32717 | + | 3.03501i | −0.383521 | + | 0.158860i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 0.154514i | − | 0.00806555i | −0.999992 | − | 0.00403277i | \(-0.998716\pi\) | ||
0.999992 | − | 0.00403277i | \(-0.00128367\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 9.86975i | 0.513799i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 15.2051 | − | 6.29815i | 0.789408 | − | 0.326984i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.40842 | − | 13.0571i | 0.280037 | − | 0.676070i | −0.719799 | − | 0.694183i | \(-0.755766\pi\) |
0.999836 | + | 0.0181131i | \(0.00576589\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.86307 | − | 2.86307i | 0.147848 | − | 0.147848i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.0244733 | − | 0.0244733i | −0.00126044 | − | 0.00126044i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.4888 | − | 7.24410i | −0.898340 | − | 0.372105i | −0.114758 | − | 0.993393i | \(-0.536609\pi\) |
−0.783582 | + | 0.621289i | \(0.786609\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −5.86792 | − | 14.1664i | −0.300623 | − | 0.725767i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 30.0898 | 1.53752 | 0.768759 | − | 0.639538i | \(-0.220874\pi\) | ||||
0.768759 | + | 0.639538i | \(0.220874\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 51.5042 | 2.62490 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.67010 | − | 4.03197i | −0.0848957 | − | 0.204956i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.7666 | + | 4.87387i | 0.596589 | + | 0.247115i | 0.660482 | − | 0.750842i | \(-0.270352\pi\) |
−0.0638936 | + | 0.997957i | \(0.520352\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.2638 | − | 11.2638i | −0.569633 | − | 0.569633i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 10.5432 | − | 10.5432i | 0.531835 | − | 0.531835i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −3.42394 | + | 8.26611i | −0.172277 | + | 0.415913i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.2331 | − | 6.30976i | 0.764527 | − | 0.316678i | 0.0338739 | − | 0.999426i | \(-0.489216\pi\) |
0.730653 | + | 0.682749i | \(0.239216\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.73692i | 0.137017i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 35.7766i | 1.78660i | 0.449463 | + | 0.893299i | \(0.351615\pi\) | ||||
−0.449463 | + | 0.893299i | \(0.648385\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.0239243 | + | 0.00990976i | −0.00119175 | + | 0.000493641i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −1.28124 | + | 3.09318i | −0.0636653 | + | 0.153702i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.7867 | − | 13.7867i | 0.683380 | − | 0.683380i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.31657 | − | 4.31657i | −0.213440 | − | 0.213440i | 0.592287 | − | 0.805727i | \(-0.298225\pi\) |
−0.805727 | + | 0.592287i | \(0.798225\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −4.00011 | − | 1.65690i | −0.197311 | − | 0.0817289i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.747970 | + | 1.80576i | 0.0368052 | + | 0.0888557i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −25.0729 | −1.23078 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.62380 | −0.0795178 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 7.37576 | + | 17.8067i | 0.360330 | + | 0.869913i | 0.995252 | + | 0.0973364i | \(0.0310323\pi\) |
−0.634922 | + | 0.772576i | \(0.718968\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.03356 | − | 2.08497i | −0.245321 | − | 0.101615i | 0.256635 | − | 0.966508i | \(-0.417386\pi\) |
−0.501956 | + | 0.864893i | \(0.667386\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.820194 | − | 0.820194i | −0.0398792 | − | 0.0398792i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −24.4990 | + | 24.4990i | −1.18838 | + | 1.18838i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −11.8332 | + | 28.5680i | −0.572651 | + | 1.38250i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.108653 | + | 0.0450055i | −0.00524581 | + | 0.00217288i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 18.4128i | − | 0.886914i | −0.896296 | − | 0.443457i | \(-0.853752\pi\) | ||
0.896296 | − | 0.443457i | \(-0.146248\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 0.227663i | − | 0.0109408i | −0.999985 | − | 0.00547038i | \(-0.998259\pi\) | ||
0.999985 | − | 0.00547038i | \(-0.00174129\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5.70715 | + | 2.36398i | −0.273637 | + | 0.113344i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.21860 | + | 2.94197i | −0.0582938 | + | 0.140734i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 19.0619 | − | 19.0619i | 0.909774 | − | 0.909774i | −0.0864799 | − | 0.996254i | \(-0.527562\pi\) |
0.996254 | + | 0.0864799i | \(0.0275618\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.692523 | + | 0.692523i | 0.0329773 | + | 0.0329773i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −28.0493 | − | 11.6184i | −1.33266 | − | 0.552008i | −0.401250 | − | 0.915968i | \(-0.631424\pi\) |
−0.931414 | + | 0.363961i | \(0.881424\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −12.2101 | − | 29.4779i | −0.578816 | − | 1.39739i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −22.3150 | −1.05546 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 33.0005 | 1.55739 | 0.778696 | − | 0.627401i | \(-0.215881\pi\) | ||||
0.778696 | + | 0.627401i | \(0.215881\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 23.6798 | + | 57.1681i | 1.11504 | + | 2.69194i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −12.3124 | − | 5.09995i | −0.578486 | − | 0.239617i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −0.108966 | − | 0.108966i | −0.00510839 | − | 0.00510839i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 19.3344 | − | 19.3344i | 0.904423 | − | 0.904423i | −0.0913920 | − | 0.995815i | \(-0.529132\pi\) |
0.995815 | + | 0.0913920i | \(0.0291316\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.13529 | − | 5.15504i | 0.0996667 | − | 0.240617i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −19.0532 | + | 7.89211i | −0.887398 | + | 0.367572i | −0.779361 | − | 0.626575i | \(-0.784456\pi\) |
−0.108037 | + | 0.994147i | \(0.534456\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 18.6664i | − | 0.867499i | −0.901034 | − | 0.433749i | \(-0.857190\pi\) | ||
0.901034 | − | 0.433749i | \(-0.142810\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.62190i | 0.214335i | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.38748 | − | 0.574712i | 0.0642048 | − | 0.0265945i | −0.350350 | − | 0.936619i | \(-0.613937\pi\) |
0.414555 | + | 0.910024i | \(0.363937\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −5.05214 | + | 12.1970i | −0.233286 | + | 0.563203i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −13.9315 | + | 13.9315i | −0.641927 | + | 0.641927i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −19.3472 | − | 19.3472i | −0.889586 | − | 0.889586i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.39888 | + | 2.65050i | 0.293601 | + | 0.121613i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.56680 | + | 6.19681i | 0.117526 | + | 0.283732i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 20.1621 | 0.921229 | 0.460615 | − | 0.887600i | \(-0.347629\pi\) | ||||
0.460615 | + | 0.887600i | \(0.347629\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0583360 | −0.00265989 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −2.68066 | − | 6.47169i | −0.121974 | − | 0.294472i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.41309 | + | 2.24218i | 0.245796 | + | 0.101812i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.3589 | + | 14.3589i | 0.650665 | + | 0.650665i | 0.953153 | − | 0.302488i | \(-0.0978173\pi\) |
−0.302488 | + | 0.953153i | \(0.597817\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −11.1133 | + | 11.1133i | −0.502561 | + | 0.502561i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7.84066 | + | 18.9290i | −0.353844 | + | 0.854255i | 0.642294 | + | 0.766458i | \(0.277983\pi\) |
−0.996138 | + | 0.0877968i | \(0.972017\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 9.51144 | − | 3.93977i | 0.428374 | − | 0.177438i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 20.9905i | 0.943452i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 6.18702i | 0.277526i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.1249 | + | 4.60809i | −0.498020 | + | 0.206286i | −0.617531 | − | 0.786546i | \(-0.711867\pi\) |
0.119512 | + | 0.992833i | \(0.461867\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −6.40731 | + | 15.4686i | −0.286258 | + | 0.691087i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 10.7388 | − | 10.7388i | 0.478820 | − | 0.478820i | −0.425934 | − | 0.904754i | \(-0.640054\pi\) |
0.904754 | + | 0.425934i | \(0.140054\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.7618 | + | 19.7618i | 0.879390 | + | 0.879390i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.0101 | − | 4.97475i | −0.533388 | − | 0.220936i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.73386 | − | 18.6712i | −0.342797 | − | 0.827586i | −0.997431 | − | 0.0716392i | \(-0.977177\pi\) |
0.654633 | − | 0.755947i | \(-0.272823\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.81234 | 0.257123 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.11543 | −0.0492473 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −7.07189 | − | 17.0731i | −0.311625 | − | 0.752329i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −6.71860 | − | 2.78294i | −0.295484 | − | 0.122393i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16.1198 | + | 16.1198i | 0.707581 | + | 0.707581i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 13.6485 | − | 13.6485i | 0.597953 | − | 0.597953i | −0.341815 | − | 0.939767i | \(-0.611042\pi\) |
0.939767 | + | 0.341815i | \(0.111042\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.91544 | − | 16.6954i | 0.302391 | − | 0.730037i | −0.697518 | − | 0.716567i | \(-0.745712\pi\) |
0.999909 | − | 0.0134697i | \(-0.00428766\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −14.0761 | + | 5.83052i | −0.614332 | + | 0.254465i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − | 7.70276i | − | 0.335538i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 14.8499i | 0.645647i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.735935 | + | 0.304834i | −0.0319369 | + | 0.0132287i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.0708500 | − | 0.171047i | 0.00306885 | − | 0.00740887i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −34.3806 | + | 34.3806i | −1.48640 | + | 1.48640i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3.64182 | + | 3.64182i | 0.157156 | + | 0.157156i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.67279 | + | 2.34974i | 0.244344 | + | 0.101211i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.51555 | + | 22.9726i | 0.409106 | + | 0.987668i | 0.985374 | + | 0.170407i | \(0.0545084\pi\) |
−0.576268 | + | 0.817261i | \(0.695492\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −9.69731 | −0.416151 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −53.8103 | −2.30498 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.3958 | − | 27.5119i | −0.487250 | − | 1.17633i | −0.956098 | − | 0.293046i | \(-0.905331\pi\) |
0.468848 | − | 0.883279i | \(-0.344669\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −11.6428 | − | 4.82262i | −0.496904 | − | 0.205824i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −1.45526 | − | 1.45526i | −0.0619961 | − | 0.0619961i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 4.63662 | − | 4.63662i | 0.197169 | − | 0.197169i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −3.98449 | + | 9.61941i | −0.169132 | + | 0.408321i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 1.70939 | − | 0.708053i | 0.0724292 | − | 0.0300012i | −0.346175 | − | 0.938170i | \(-0.612520\pi\) |
0.418604 | + | 0.908169i | \(0.362520\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.0818645i | 0.00346250i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | − | 34.9823i | − | 1.47695i | ||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −19.1605 | + | 7.93652i | −0.807517 | + | 0.334485i | −0.747963 | − | 0.663741i | \(-0.768968\pi\) |
−0.0595542 | + | 0.998225i | \(0.518968\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.49681 | + | 8.44204i | −0.147112 | + | 0.355159i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 1.73503 | − | 1.73503i | 0.0728642 | − | 0.0728642i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −15.1289 | − | 15.1289i | −0.634235 | − | 0.634235i | 0.314892 | − | 0.949127i | \(-0.398032\pi\) |
−0.949127 | + | 0.314892i | \(0.898032\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 12.1094 | + | 5.01587i | 0.506761 | + | 0.209907i | 0.621391 | − | 0.783501i | \(-0.286568\pi\) |
−0.114629 | + | 0.993408i | \(0.536568\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −4.39488 | − | 10.6102i | −0.183599 | − | 0.443246i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −17.7267 | −0.739256 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −35.7790 | −1.48950 | −0.744749 | − | 0.667344i | \(-0.767431\pi\) | ||||
−0.744749 | + | 0.667344i | \(0.767431\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.37358 | + | 17.8014i | 0.306435 | + | 0.739801i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 16.9766 | + | 7.03192i | 0.704306 | + | 0.291733i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 29.7351 | + | 29.7351i | 1.23150 | + | 1.23150i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.0444088 | − | 0.0444088i | 0.00183608 | − | 0.00183608i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −10.9958 | + | 26.5462i | −0.453845 | + | 1.09568i | 0.517003 | + | 0.855984i | \(0.327048\pi\) |
−0.970848 | + | 0.239696i | \(0.922952\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.42261 | + | 0.589265i | −0.0586177 | + | 0.0242803i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 7.02104i | 0.288807i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 13.4778i | 0.553469i | 0.960946 | + | 0.276734i | \(0.0892522\pi\) | ||||
−0.960946 | + | 0.276734i | \(0.910748\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 42.3490 | − | 17.5415i | 1.73614 | − | 0.719133i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 7.92985 | − | 19.1444i | 0.324547 | − | 0.783526i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 11.7247 | − | 11.7247i | 0.479059 | − | 0.479059i | −0.425771 | − | 0.904831i | \(-0.639997\pi\) |
0.904831 | + | 0.425771i | \(0.139997\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −14.2752 | − | 14.2752i | −0.582299 | − | 0.582299i | 0.353235 | − | 0.935535i | \(-0.385082\pi\) |
−0.935535 | + | 0.353235i | \(0.885082\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.97085 | − | 2.05899i | −0.202429 | − | 0.0838487i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 36.2673 | + | 87.5570i | 1.47447 | + | 3.55970i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 30.9234 | 1.25514 | 0.627571 | − | 0.778559i | \(-0.284049\pi\) | ||||
0.627571 | + | 0.778559i | \(0.284049\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 4.52725 | 0.183453 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.00832655 | + | 0.0201021i | 0.000336856 | + | 0.000813243i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 34.3535 | + | 14.2297i | 1.38753 | + | 0.574732i | 0.946483 | − | 0.322754i | \(-0.104609\pi\) |
0.441043 | + | 0.897486i | \(0.354609\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −23.3659 | − | 23.3659i | −0.942202 | − | 0.942202i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −10.2583 | + | 10.2583i | −0.412985 | + | 0.412985i | −0.882777 | − | 0.469792i | \(-0.844329\pi\) |
0.469792 | + | 0.882777i | \(0.344329\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 8.23548 | − | 19.8822i | 0.331012 | − | 0.799133i | −0.667501 | − | 0.744609i | \(-0.732636\pi\) |
0.998512 | − | 0.0545238i | \(-0.0173641\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 2.63753 | − | 1.09250i | 0.105840 | − | 0.0438405i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 23.3836i | 0.936844i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | − | 17.4906i | − | 0.699626i | ||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −6.46083 | + | 2.67617i | −0.258021 | + | 0.106876i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 6.64047 | − | 16.0315i | 0.264773 | − | 0.639219i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.2772 | + | 10.2772i | −0.409128 | + | 0.409128i | −0.881434 | − | 0.472307i | \(-0.843421\pi\) |
0.472307 | + | 0.881434i | \(0.343421\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 2.14593 | + | 2.14593i | 0.0852930 | + | 0.0852930i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 47.4297 | + | 19.6460i | 1.88219 | + | 0.779629i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.00703045 | − | 0.0169730i | −0.000278556 | − | 0.000672495i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.52151 | −0.0997494 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −14.5702 | −0.575489 | −0.287745 | − | 0.957707i | \(-0.592905\pi\) | ||||
−0.287745 | + | 0.957707i | \(0.592905\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −7.72635 | − | 18.6531i | −0.304698 | − | 0.735605i | −0.999860 | − | 0.0167519i | \(-0.994667\pi\) |
0.695162 | − | 0.718853i | \(-0.255333\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 13.4992 | + | 5.59154i | 0.531530 | + | 0.220167i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −5.45944 | − | 5.45944i | −0.214633 | − | 0.214633i | 0.591599 | − | 0.806232i | \(-0.298497\pi\) |
−0.806232 | + | 0.591599i | \(0.798497\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −3.53135 | + | 3.53135i | −0.138618 | + | 0.138618i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.29625 | − | 3.12943i | 0.0508042 | − | 0.122652i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −8.05307 | + | 3.33569i | −0.315141 | + | 0.130536i | −0.534647 | − | 0.845075i | \(-0.679555\pi\) |
0.219506 | + | 0.975611i | \(0.429555\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 49.9204i | 1.95055i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.36881i | 0.0924161i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11.5755 | + | 4.79474i | −0.450919 | + | 0.186777i | −0.596573 | − | 0.802559i | \(-0.703471\pi\) |
0.145654 | + | 0.989336i | \(0.453471\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.73190 | + | 11.4238i | −0.184049 | + | 0.444335i | −0.988794 | − | 0.149287i | \(-0.952302\pi\) |
0.804745 | + | 0.593621i | \(0.202302\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.0740109 | + | 0.0740109i | −0.00287435 | + | 0.00287435i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −6.47944 | − | 6.47944i | −0.251262 | − | 0.251262i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.86643 | + | 2.01574i | 0.188429 | + | 0.0780499i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.34242 | + | 5.65509i | 0.0905631 | + | 0.218639i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −79.0087 | −3.05010 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 11.7838 | 0.454233 | 0.227117 | − | 0.973868i | \(-0.427070\pi\) | ||||
0.227117 | + | 0.973868i | \(0.427070\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.37622 | − | 5.73670i | −0.0914607 | − | 0.220806i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −31.1449 | − | 12.9006i | −1.19700 | − | 0.495812i | −0.306969 | − | 0.951719i | \(-0.599315\pi\) |
−0.890027 | + | 0.455907i | \(0.849315\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.03630 | − | 3.03630i | −0.116523 | − | 0.116523i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −12.0560 | + | 12.0560i | −0.461989 | + | 0.461989i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.44866 | − | 5.91159i | 0.0936954 | − | 0.226201i | −0.870083 | − | 0.492905i | \(-0.835935\pi\) |
0.963778 | + | 0.266705i | \(0.0859349\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 13.3925 | − | 5.54737i | 0.511702 | − | 0.211954i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 9.31826i | − | 0.355514i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 0.125819i | − | 0.00479333i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −6.81893 | + | 2.82449i | −0.259404 | + | 0.107449i | −0.508596 | − | 0.861005i | \(-0.669835\pi\) |
0.249191 | + | 0.968454i | \(0.419835\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 5.88697 | − | 14.2124i | 0.223628 | − | 0.539885i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 3.84422 | − | 3.84422i | 0.145819 | − | 0.145819i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 38.9411 | + | 38.9411i | 1.47500 | + | 1.47500i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 10.4488 | + | 4.32805i | 0.395212 | + | 0.163702i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.75369 | + | 6.64799i | 0.104005 | + | 0.251091i | 0.967312 | − | 0.253588i | \(-0.0816108\pi\) |
−0.863307 | + | 0.504679i | \(0.831611\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.46884 | −0.130830 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.88349 | 0.146261 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −7.83813 | − | 18.9229i | −0.294783 | − | 0.711669i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −46.0951 | − | 19.0932i | −1.73114 | − | 0.717061i | −0.999369 | − | 0.0355098i | \(-0.988695\pi\) |
−0.731770 | − | 0.681552i | \(-0.761305\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.88965 | + | 1.88965i | 0.0708673 | + | 0.0708673i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 2.78674 | − | 2.78674i | 0.104364 | − | 0.104364i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.150680 | − | 0.363774i | 0.00563512 | − | 0.0136044i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −5.79002 | + | 2.39830i | −0.216232 | + | 0.0895663i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.0801i | 0.823447i | 0.911309 | + | 0.411724i | \(0.135073\pi\) | ||||
−0.911309 | + | 0.411724i | \(0.864927\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.5434i | 0.504381i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 14.5605 | − | 6.03116i | 0.541511 | − | 0.224301i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.38430 | − | 10.5846i | 0.162829 | − | 0.393104i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.2216 | + | 12.2216i | −0.453274 | + | 0.453274i | −0.896440 | − | 0.443166i | \(-0.853855\pi\) |
0.443166 | + | 0.896440i | \(0.353855\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −22.4975 | − | 9.31876i | −0.832100 | − | 0.344667i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 10.2112 | + | 24.6520i | 0.377159 | + | 0.910541i | 0.992496 | + | 0.122278i | \(0.0390198\pi\) |
−0.615337 | + | 0.788264i | \(0.710980\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.27899 | −0.120947 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −33.7324 | −1.24255 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.9929 | − | 31.3677i | −0.477953 | − | 1.15388i | −0.960567 | − | 0.278048i | \(-0.910313\pi\) |
0.482614 | − | 0.875833i | \(-0.339687\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.0193308 | + | 0.00800710i | 0.000710136 | + | 0.000294148i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 14.2568 | + | 14.2568i | 0.523030 | + | 0.523030i | 0.918485 | − | 0.395455i | \(-0.129413\pi\) |
−0.395455 | + | 0.918485i | \(0.629413\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 52.8291 | − | 52.8291i | 1.93551 | − | 1.93551i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.86585 | + | 6.91877i | −0.104856 | + | 0.253144i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 32.9211 | − | 13.6364i | 1.20291 | − | 0.498262i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 37.4275i | − | 1.36575i | −0.730536 | − | 0.682874i | \(-0.760730\pi\) | ||
0.730536 | − | 0.682874i | \(-0.239270\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 20.5866i | 0.750218i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 41.2223 | − | 17.0748i | 1.50023 | − | 0.621417i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.2534 | − | 34.4107i | 0.518048 | − | 1.25068i | −0.421052 | − | 0.907036i | \(-0.638339\pi\) |
0.939100 | − | 0.343643i | \(-0.111661\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 12.6561 | − | 12.6561i | 0.459386 | − | 0.459386i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 4.71958 | + | 4.71958i | 0.171085 | + | 0.171085i | 0.787456 | − | 0.616371i | \(-0.211398\pi\) |
−0.616371 | + | 0.787456i | \(0.711398\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 36.4344 | + | 15.0916i | 1.31901 | + | 0.546353i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 7.14903 | + | 17.2593i | 0.258474 | + | 0.624011i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 0.0149423 | 0.000539536 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −0.848264 | −0.0305892 | −0.0152946 | − | 0.999883i | \(-0.504869\pi\) | ||||
−0.0152946 | + | 0.999883i | \(0.504869\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.00056 | − | 4.82977i | −0.0720483 | − | 0.173940i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.34212 | − | 3.04121i | −0.264078 | − | 0.109385i | 0.246716 | − | 0.969088i | \(-0.420648\pi\) |
−0.510794 | + | 0.859703i | \(0.670648\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.06124 | − | 6.06124i | −0.217726 | − | 0.217726i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5.39571 | − | 5.39571i | 0.193570 | − | 0.193570i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.21296 | − | 10.1710i | 0.150945 | − | 0.364413i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −14.6052 | + | 6.04967i | −0.522615 | + | 0.216474i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.84507i | 0.0659376i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 65.9632i | − | 2.35433i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 19.1514 | − | 7.93278i | 0.682674 | − | 0.282773i | −0.0142701 | − | 0.999898i | \(-0.504542\pi\) |
0.696944 | + | 0.717125i | \(0.254542\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.02564 | − | 7.30453i | 0.107716 | − | 0.260048i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.73530 | − | 4.73530i | 0.168368 | − | 0.168368i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.167156 | + | 0.167156i | 0.00593589 | + | 0.00593589i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −20.7471 | − | 8.59375i | −0.735825 | − | 0.304789i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −8.34929 | − | 20.1570i | −0.295747 | − | 0.713997i | −0.999992 | − | 0.00403944i | \(-0.998714\pi\) |
0.704245 | − | 0.709957i | \(-0.251286\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.47215 | −0.228968 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.52995 | −0.336724 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 5.68331 | + | 13.7207i | 0.200560 | + | 0.484194i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 21.6675 | + | 8.97496i | 0.763678 | + | 0.316326i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 7.59716 | + | 7.59716i | 0.267433 | + | 0.267433i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 2.49506 | − | 2.49506i | 0.0877217 | − | 0.0877217i | −0.661884 | − | 0.749606i | \(-0.730243\pi\) |
0.749606 | + | 0.661884i | \(0.230243\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.3640 | + | 27.4351i | −0.399044 | + | 0.963378i | 0.588849 | + | 0.808243i | \(0.299581\pi\) |
−0.987893 | + | 0.155135i | \(0.950419\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −14.2617 | + | 5.90740i | −0.500180 | + | 0.207181i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 52.6197i | − | 1.84319i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.86792i | 0.170307i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −0.0425236 | + | 0.0176139i | −0.00148590 | + | 0.000615478i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −11.7466 | + | 28.3588i | −0.409959 | + | 0.989728i | 0.575189 | + | 0.818020i | \(0.304928\pi\) |
−0.985148 | + | 0.171708i | \(0.945072\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 13.6697 | − | 13.6697i | 0.476496 | − | 0.476496i | −0.427513 | − | 0.904009i | \(-0.640610\pi\) |
0.904009 | + | 0.427513i | \(0.140610\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −27.5273 | − | 27.5273i | −0.958378 | − | 0.958378i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −35.2612 | − | 14.6057i | −1.22615 | − | 0.507889i | −0.326792 | − | 0.945096i | \(-0.605968\pi\) |
−0.899361 | + | 0.437207i | \(0.855968\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −16.0030 | − | 38.6346i | −0.555806 | − | 1.34184i | −0.913059 | − | 0.407828i | \(-0.866286\pi\) |
0.357253 | − | 0.934008i | \(-0.383714\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.68106 | 0.162384 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5.46470 | 0.189341 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −21.4519 | − | 51.7895i | −0.742375 | − | 1.79225i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.27540 | + | 0.528286i | 0.0440841 | + | 0.0182602i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −14.1294 | − | 14.1294i | −0.487800 | − | 0.487800i | 0.419811 | − | 0.907611i | \(-0.362096\pi\) |
−0.907611 | + | 0.419811i | \(0.862096\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 18.0989 | − | 18.0989i | 0.624100 | − | 0.624100i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 2.00430 | − | 4.83882i | 0.0690319 | − | 0.166658i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 40.2103 | − | 16.6557i | 1.38328 | − | 0.572972i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 69.4554i | − | 2.38651i | ||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 17.4920i | 0.600323i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 8.20237 | − | 3.39753i | 0.281174 | − | 0.116466i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −19.9078 | + | 48.0618i | −0.681631 | + | 1.64560i | 0.0793634 | + | 0.996846i | \(0.474711\pi\) |
−0.760995 | + | 0.648758i | \(0.775289\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.64069 | − | 2.64069i | 0.0903096 | − | 0.0903096i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 34.0981 | + | 34.0981i | 1.16477 | + | 1.16477i | 0.983419 | + | 0.181349i | \(0.0580463\pi\) |
0.181349 | + | 0.983419i | \(0.441954\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.10766 | − | 1.28723i | −0.106032 | − | 0.0439199i | 0.329037 | − | 0.944317i | \(-0.393276\pi\) |
−0.435069 | + | 0.900397i | \(0.643276\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 9.26759 | + | 22.3739i | 0.315839 | + | 0.762502i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 10.0110 | 0.340777 | 0.170389 | − | 0.985377i | \(-0.445498\pi\) | ||||
0.170389 | + | 0.985377i | \(0.445498\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −76.3247 | −2.59512 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −5.40882 | − | 13.0580i | −0.183693 | − | 0.443474i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 15.4790 | + | 6.41161i | 0.525089 | + | 0.217499i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.0713665 | + | 0.0713665i | 0.00241816 | + | 0.00241816i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 1.23744 | − | 1.23744i | 0.0418810 | − | 0.0418810i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 3.80195 | − | 9.17873i | 0.128529 | − | 0.310298i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 22.1720 | − | 9.18393i | 0.748694 | − | 0.310119i | 0.0244855 | − | 0.999700i | \(-0.492205\pi\) |
0.724209 | + | 0.689581i | \(0.242205\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 14.6833i | 0.495254i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 16.0746i | − | 0.541568i | −0.962640 | − | 0.270784i | \(-0.912717\pi\) | ||
0.962640 | − | 0.270784i | \(-0.0872829\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 12.8293 | − | 5.31406i | 0.431740 | − | 0.178832i | −0.156221 | − | 0.987722i | \(-0.549931\pi\) |
0.587960 | + | 0.808890i | \(0.299931\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.02060 | − | 2.46394i | 0.0343070 | − | 0.0828244i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −29.2489 | + | 29.2489i | −0.982081 | + | 0.982081i | −0.999842 | − | 0.0177612i | \(-0.994346\pi\) |
0.0177612 | + | 0.999842i | \(0.494346\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −26.6042 | − | 26.6042i | −0.892276 | − | 0.892276i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 5.79225 | + | 2.39923i | 0.194048 | + | 0.0803771i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.495123 | + | 1.19533i | 0.0165687 | + | 0.0400003i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −17.2434 | −0.576384 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.0535520 | −0.00178805 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.974727 | + | 2.35320i | 0.0325090 | + | 0.0784836i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 34.5768 | + | 14.3222i | 1.15192 | + | 0.477141i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −7.57195 | − | 7.57195i | −0.251979 | − | 0.251979i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 22.9576 | − | 22.9576i | 0.763137 | − | 0.763137i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −21.8942 | + | 52.8573i | −0.726986 | + | 1.75510i | −0.0745987 | + | 0.997214i | \(0.523768\pi\) |
−0.652387 | + | 0.757886i | \(0.726232\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 7.71200 | − | 3.19442i | 0.255791 | − | 0.105952i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 59.8222i | 1.98200i | 0.133873 | + | 0.990999i | \(0.457259\pi\) | ||||
−0.133873 | + | 0.990999i | \(0.542741\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 46.9510i | 1.55385i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 38.9806 | − | 16.1463i | 1.28866 | − | 0.533781i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 14.0007 | − | 33.8006i | 0.462342 | − | 1.11619i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −17.5355 | + | 17.5355i | −0.578444 | + | 0.578444i | −0.934474 | − | 0.356030i | \(-0.884130\pi\) |
0.356030 | + | 0.934474i | \(0.384130\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −11.9643 | − | 11.9643i | −0.394238 | − | 0.394238i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.0436988 | + | 0.0181006i | 0.00143836 | + | 0.000595790i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −7.38974 | − | 17.8404i | −0.242973 | − | 0.586589i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.51957 | −0.181287 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 47.3964 | 1.55502 | 0.777512 | − | 0.628868i | \(-0.216481\pi\) | ||||
0.777512 | + | 0.628868i | \(0.216481\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −0.418052 | − | 1.00927i | −0.0137011 | − | 0.0330774i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −29.8114 | − | 12.3483i | −0.975982 | − | 0.404265i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 82.8179 | + | 82.8179i | 2.70843 | + | 2.70843i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −3.12631 | + | 3.12631i | −0.102132 | + | 0.102132i | −0.756326 | − | 0.654194i | \(-0.773008\pi\) |
0.654194 | + | 0.756326i | \(0.273008\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −4.07076 | + | 9.82767i | −0.132844 | + | 0.320714i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.78357 | − | 2.80985i | 0.221138 | − | 0.0915984i | −0.269364 | − | 0.963038i | \(-0.586813\pi\) |
0.490502 | + | 0.871440i | \(0.336813\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 28.1766i | 0.917555i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 8.21507i | 0.267236i | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 48.2859 | − | 20.0007i | 1.56908 | − | 0.649935i | 0.582444 | − | 0.812871i | \(-0.302096\pi\) |
0.986637 | + | 0.162936i | \(0.0520965\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.0170045 | − | 0.0410525i | 0.000551990 | − | 0.00133262i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 18.4451 | − | 18.4451i | 0.598123 | − | 0.598123i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −12.2493 | − | 12.2493i | −0.396794 | − | 0.396794i | 0.480307 | − | 0.877101i | \(-0.340525\pi\) |
−0.877101 | + | 0.480307i | \(0.840525\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 35.5233 | + | 14.7142i | 1.14951 | + | 0.476141i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 4.42675 | + | 10.6871i | 0.143097 | + | 0.345466i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −10.6237 | −0.343059 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −29.0943 | −0.938525 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 5.55747 | + | 13.4169i | 0.179087 | + | 0.432355i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −59.5997 | − | 24.6870i | −1.91858 | − | 0.794703i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 11.6821 | + | 11.6821i | 0.375671 | + | 0.375671i | 0.869538 | − | 0.493867i | \(-0.164417\pi\) |
−0.493867 | + | 0.869538i | \(0.664417\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −4.40092 | + | 4.40092i | −0.141378 | + | 0.141378i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 12.0421 | − | 29.0723i | 0.386451 | − | 0.932975i | −0.604235 | − | 0.796806i | \(-0.706521\pi\) |
0.990686 | − | 0.136168i | \(-0.0434788\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.68102 | + | 1.52473i | −0.118008 | + | 0.0488806i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.116477i | 0.00373026i | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 46.2289i | 1.47899i | 0.673159 | + | 0.739497i | \(0.264937\pi\) | ||||
−0.673159 | + | 0.739497i | \(0.735063\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −55.1998 | + | 22.8645i | −1.76419 | + | 0.730753i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.15056 | + | 14.8488i | −0.196372 | + | 0.474085i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 36.8328 | − | 36.8328i | 1.17478 | − | 1.17478i | 0.193729 | − | 0.981055i | \(-0.437942\pi\) |
0.981055 | − | 0.193729i | \(-0.0620583\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −16.6217 | − | 16.6217i | −0.529613 | − | 0.529613i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.62947 | − | 1.08916i | −0.0836969 | − | 0.0346684i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.76786 | − | 11.5106i | −0.151609 | − | 0.366016i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 0.0778010 | 0.00247143 | 0.00123571 | − | 0.999999i | \(-0.499607\pi\) | ||||
0.00123571 | + | 0.999999i | \(0.499607\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 33.7182 | 1.07002 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 26.5494 | + | 64.0960i | 0.841674 | + | 2.03198i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −14.8961 | − | 6.17018i | −0.471765 | − | 0.195412i | 0.134118 | − | 0.990965i | \(-0.457180\pi\) |
−0.605883 | + | 0.795554i | \(0.707180\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.19901 | + | 2.19901i | 0.0695736 | + | 0.0695736i |
(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 | 384.2.n.a.241.5 | 32 | ||
3.2 | odd | 2 | 1152.2.v.c.1009.8 | 32 | |||
4.3 | odd | 2 | 96.2.n.a.37.2 | yes | 32 | ||
8.3 | odd | 2 | 768.2.n.a.481.8 | 32 | |||
8.5 | even | 2 | 768.2.n.b.481.4 | 32 | |||
12.11 | even | 2 | 288.2.v.d.37.7 | 32 | |||
32.3 | odd | 8 | 768.2.n.a.289.8 | 32 | |||
32.13 | even | 8 | inner | 384.2.n.a.145.5 | 32 | ||
32.19 | odd | 8 | 96.2.n.a.13.2 | ✓ | 32 | ||
32.29 | even | 8 | 768.2.n.b.289.4 | 32 | |||
96.77 | odd | 8 | 1152.2.v.c.145.8 | 32 | |||
96.83 | even | 8 | 288.2.v.d.109.7 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.13.2 | ✓ | 32 | 32.19 | odd | 8 | ||
96.2.n.a.37.2 | yes | 32 | 4.3 | odd | 2 | ||
288.2.v.d.37.7 | 32 | 12.11 | even | 2 | |||
288.2.v.d.109.7 | 32 | 96.83 | even | 8 | |||
384.2.n.a.145.5 | 32 | 32.13 | even | 8 | inner | ||
384.2.n.a.241.5 | 32 | 1.1 | even | 1 | trivial | ||
768.2.n.a.289.8 | 32 | 32.3 | odd | 8 | |||
768.2.n.a.481.8 | 32 | 8.3 | odd | 2 | |||
768.2.n.b.289.4 | 32 | 32.29 | even | 8 | |||
768.2.n.b.481.4 | 32 | 8.5 | even | 2 | |||
1152.2.v.c.145.8 | 32 | 96.77 | odd | 8 | |||
1152.2.v.c.1009.8 | 32 | 3.2 | odd | 2 |