Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [768,2,Mod(97,768)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(768, 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("768.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 768 = 2^{8} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 768.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: | \(6.13251087523\) |
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 | 97.7 | ||
Character | \(\chi\) | \(=\) | 768.97 |
Dual form | 768.2.n.b.673.7 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/768\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(511\) | \(517\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.923880 | − | 0.382683i | 0.533402 | − | 0.220942i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.155637 | − | 0.375742i | 0.0696031 | − | 0.168037i | −0.885250 | − | 0.465116i | \(-0.846013\pi\) |
0.954853 | + | 0.297079i | \(0.0960126\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.709092 | − | 0.709092i | −0.268012 | − | 0.268012i | 0.560287 | − | 0.828299i | \(-0.310691\pi\) |
−0.828299 | + | 0.560287i | \(0.810691\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.707107 | − | 0.707107i | 0.235702 | − | 0.235702i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.79128 | − | 1.15619i | −0.841603 | − | 0.348603i | −0.0801174 | − | 0.996785i | \(-0.525530\pi\) |
−0.761485 | + | 0.648182i | \(0.775530\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.58738 | − | 6.24650i | −0.717611 | − | 1.73247i | −0.680043 | − | 0.733173i | \(-0.738039\pi\) |
−0.0375686 | − | 0.999294i | \(-0.511961\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | − | 0.406700i | − | 0.105009i | ||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 1.05927i | − | 0.256910i | −0.991715 | − | 0.128455i | \(-0.958998\pi\) | ||
0.991715 | − | 0.128455i | \(-0.0410018\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.48755 | − | 3.59125i | −0.341266 | − | 0.823890i | −0.997588 | − | 0.0694090i | \(-0.977889\pi\) |
0.656322 | − | 0.754481i | \(-0.272111\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.926474 | − | 0.383758i | −0.202173 | − | 0.0837429i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.922176 | + | 0.922176i | −0.192287 | + | 0.192287i | −0.796684 | − | 0.604397i | \(-0.793414\pi\) |
0.604397 | + | 0.796684i | \(0.293414\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.41858 | + | 3.41858i | 0.683715 | + | 0.683715i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.382683 | − | 0.923880i | 0.0736475 | − | 0.177801i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.64351 | − | 3.16605i | 1.41936 | − | 0.587920i | 0.464664 | − | 0.885487i | \(-0.346175\pi\) |
0.954701 | + | 0.297567i | \(0.0961753\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.88437 | 0.338442 | 0.169221 | − | 0.985578i | \(-0.445875\pi\) | ||||
0.169221 | + | 0.985578i | \(0.445875\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.02126 | −0.525934 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.376797 | + | 0.156074i | −0.0636903 | + | 0.0263814i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.24806 | + | 3.01308i | −0.205179 | + | 0.495347i | −0.992652 | − | 0.121003i | \(-0.961389\pi\) |
0.787473 | + | 0.616349i | \(0.211389\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.78086 | − | 4.78086i | −0.765551 | − | 0.765551i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.11980 | − | 5.11980i | 0.799579 | − | 0.799579i | −0.183450 | − | 0.983029i | \(-0.558727\pi\) |
0.983029 | + | 0.183450i | \(0.0587266\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −10.9474 | − | 4.53458i | −1.66947 | − | 0.691517i | −0.670729 | − | 0.741702i | \(-0.734019\pi\) |
−0.998740 | + | 0.0501855i | \(0.984019\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.155637 | − | 0.375742i | −0.0232010 | − | 0.0560123i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 7.47912i | 1.09094i | 0.838130 | + | 0.545471i | \(0.183649\pi\) | ||||
−0.838130 | + | 0.545471i | \(0.816351\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 5.99438i | − | 0.856339i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −0.405364 | − | 0.978635i | −0.0567623 | − | 0.137036i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 7.58131 | + | 3.14028i | 1.04137 | + | 0.431351i | 0.836805 | − | 0.547501i | \(-0.184421\pi\) |
0.204569 | + | 0.978852i | \(0.434421\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.868855 | + | 0.868855i | −0.117156 | + | 0.117156i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.74863 | − | 2.74863i | −0.364064 | − | 0.364064i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.13463 | + | 9.98188i | −0.538283 | + | 1.29953i | 0.387637 | + | 0.921812i | \(0.373291\pi\) |
−0.925921 | + | 0.377718i | \(0.876709\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.35860 | + | 0.562751i | −0.173951 | + | 0.0720529i | −0.467959 | − | 0.883750i | \(-0.655011\pi\) |
0.294008 | + | 0.955803i | \(0.405011\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.00281 | −0.126342 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.74976 | −0.341066 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.8701 | − | 4.50256i | 1.32800 | − | 0.550075i | 0.397915 | − | 0.917422i | \(-0.369734\pi\) |
0.930084 | + | 0.367347i | \(0.119734\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.499078 | + | 1.20488i | −0.0600820 | + | 0.145051i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.35165 | − | 9.35165i | −1.10984 | − | 1.10984i | −0.993171 | − | 0.116666i | \(-0.962779\pi\) |
−0.116666 | − | 0.993171i | \(-0.537221\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.367639 | − | 0.367639i | 0.0430289 | − | 0.0430289i | −0.685265 | − | 0.728294i | \(-0.740314\pi\) |
0.728294 | + | 0.685265i | \(0.240314\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 4.46658 | + | 1.85012i | 0.515757 | + | 0.213633i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.15943 | + | 2.79912i | 0.132130 | + | 0.318989i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 5.87774i | − | 0.661297i | −0.943754 | − | 0.330649i | \(-0.892733\pi\) | ||
0.943754 | − | 0.330649i | \(-0.107267\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | − | 1.00000i | − | 0.111111i | ||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 1.62041 | + | 3.91201i | 0.177863 | + | 0.429398i | 0.987518 | − | 0.157507i | \(-0.0503458\pi\) |
−0.809655 | + | 0.586906i | \(0.800346\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.398011 | − | 0.164861i | −0.0431703 | − | 0.0178817i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 5.85009 | − | 5.85009i | 0.627195 | − | 0.627195i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.33036 | + | 8.33036i | 0.883016 | + | 0.883016i | 0.993840 | − | 0.110824i | \(-0.0353489\pi\) |
−0.110824 | + | 0.993840i | \(0.535349\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.59465 | + | 6.26404i | −0.271993 | + | 0.656650i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.74093 | − | 0.721116i | 0.180526 | − | 0.0747762i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.58090 | −0.162197 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.97088 | −0.809320 | −0.404660 | − | 0.914467i | \(-0.632610\pi\) | ||||
−0.404660 | + | 0.914467i | \(0.632610\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.79128 | + | 1.15619i | −0.280534 | + | 0.116201i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −3.63502 | + | 8.77571i | −0.361698 | + | 0.873216i | 0.633354 | + | 0.773862i | \(0.281678\pi\) |
−0.995052 | + | 0.0993539i | \(0.968322\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.44527 | + | 2.44527i | 0.240940 | + | 0.240940i | 0.817239 | − | 0.576299i | \(-0.195504\pi\) |
−0.576299 | + | 0.817239i | \(0.695504\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.288388 | + | 0.288388i | −0.0281438 | + | 0.0281438i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 14.7198 | + | 6.09714i | 1.42302 | + | 0.589433i | 0.955617 | − | 0.294612i | \(-0.0951905\pi\) |
0.467401 | + | 0.884045i | \(0.345190\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.64422 | − | 8.79792i | −0.349053 | − | 0.842688i | −0.996732 | − | 0.0807753i | \(-0.974260\pi\) |
0.647679 | − | 0.761913i | \(-0.275740\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.26133i | 0.309552i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 6.79924i | 0.639619i | 0.947482 | + | 0.319810i | \(0.103619\pi\) | ||||
−0.947482 | + | 0.319810i | \(0.896381\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.202975 | + | 0.490025i | 0.0189275 | + | 0.0456951i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.24650 | − | 2.58738i | −0.577489 | − | 0.239204i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.751118 | + | 0.751118i | −0.0688549 | + | 0.0688549i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.32369 | − | 1.32369i | −0.120336 | − | 0.120336i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.77082 | − | 6.68934i | 0.249836 | − | 0.603158i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 3.69527 | − | 1.53063i | 0.330515 | − | 0.136904i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.17506 | 0.459212 | 0.229606 | − | 0.973284i | \(-0.426256\pi\) | ||||
0.229606 | + | 0.973284i | \(0.426256\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −11.8494 | −1.04328 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.0139993 | − | 0.00579870i | 0.00122313 | − | 0.000506635i | −0.382072 | − | 0.924133i | \(-0.624789\pi\) |
0.383295 | + | 0.923626i | \(0.374789\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.49172 | + | 3.60134i | −0.129349 | + | 0.312276i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.287580 | − | 0.287580i | −0.0247510 | − | 0.0247510i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 8.75347 | − | 8.75347i | 0.747859 | − | 0.747859i | −0.226217 | − | 0.974077i | \(-0.572636\pi\) |
0.974077 | + | 0.226217i | \(0.0726360\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.340231 | − | 0.140928i | −0.0288581 | − | 0.0119534i | 0.368208 | − | 0.929744i | \(-0.379972\pi\) |
−0.397066 | + | 0.917790i | \(0.629972\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.86213 | + | 6.90980i | 0.241035 | + | 0.581910i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 20.4272i | 1.70821i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | − | 3.36474i | − | 0.279426i | ||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.29395 | − | 5.53808i | −0.189202 | − | 0.456773i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −11.5258 | − | 4.77413i | −0.944228 | − | 0.391112i | −0.143170 | − | 0.989698i | \(-0.545729\pi\) |
−0.801059 | + | 0.598586i | \(0.795729\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.63305 | − | 5.63305i | 0.458411 | − | 0.458411i | −0.439723 | − | 0.898134i | \(-0.644923\pi\) |
0.898134 | + | 0.439723i | \(0.144923\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.749015 | − | 0.749015i | −0.0605542 | − | 0.0605542i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.293278 | − | 0.708035i | 0.0235566 | − | 0.0568707i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −15.1312 | + | 6.26756i | −1.20760 | + | 0.500206i | −0.893448 | − | 0.449166i | \(-0.851721\pi\) |
−0.314155 | + | 0.949372i | \(0.601721\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 8.20595 | 0.650775 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.30782 | 0.103070 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.4717 | − | 5.16594i | 0.976858 | − | 0.404628i | 0.163597 | − | 0.986527i | \(-0.447690\pi\) |
0.813261 | + | 0.581899i | \(0.197690\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.470221 | + | 1.13521i | −0.0366066 | + | 0.0883762i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 13.0928 | + | 13.0928i | 1.01315 | + | 1.01315i | 0.999912 | + | 0.0132424i | \(0.00421531\pi\) |
0.0132424 | + | 0.999912i | \(0.495785\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −23.1318 | + | 23.1318i | −1.77937 | + | 1.77937i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.59125 | − | 1.48755i | −0.274630 | − | 0.113755i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 3.08646 | + | 7.45138i | 0.234659 | + | 0.566518i | 0.996715 | − | 0.0809941i | \(-0.0258095\pi\) |
−0.762055 | + | 0.647512i | \(0.775809\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | − | 4.84817i | − | 0.366487i | ||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 10.8043i | 0.812102i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.47037 | + | 8.37820i | 0.259387 | + | 0.626216i | 0.998898 | − | 0.0469281i | \(-0.0149432\pi\) |
−0.739511 | + | 0.673145i | \(0.764943\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 20.8285 | + | 8.62745i | 1.54817 | + | 0.641274i | 0.982984 | − | 0.183689i | \(-0.0588040\pi\) |
0.565187 | + | 0.824963i | \(0.308804\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.03983 | + | 1.03983i | −0.0768663 | + | 0.0768663i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.937894 | + | 0.937894i | 0.0689553 | + | 0.0689553i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.22471 | + | 2.95671i | −0.0895596 | + | 0.216216i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.926474 | + | 0.383758i | −0.0673911 | + | 0.0279143i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.0099 | 0.724293 | 0.362147 | − | 0.932121i | \(-0.382044\pi\) | ||||
0.362147 | + | 0.932121i | \(0.382044\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.51081 | 0.684603 | 0.342301 | − | 0.939590i | \(-0.388794\pi\) | ||||
0.342301 | + | 0.939590i | \(0.388794\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.54045 | + | 1.05229i | −0.181925 | + | 0.0753559i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 5.27324 | − | 12.7307i | 0.375703 | − | 0.907028i | −0.617058 | − | 0.786918i | \(-0.711675\pi\) |
0.992761 | − | 0.120110i | \(-0.0383246\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.74284 | + | 9.74284i | 0.690652 | + | 0.690652i | 0.962375 | − | 0.271724i | \(-0.0875937\pi\) |
−0.271724 | + | 0.962375i | \(0.587594\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 8.31964 | − | 8.31964i | 0.586822 | − | 0.586822i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −7.66497 | − | 3.17494i | −0.537976 | − | 0.222837i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.12689 | − | 2.72055i | −0.0787055 | − | 0.190012i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.30415i | 0.0906450i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 11.7441i | 0.812355i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.30086 | + | 5.55477i | 0.158398 | + | 0.382406i | 0.983077 | − | 0.183195i | \(-0.0586441\pi\) |
−0.824679 | + | 0.565601i | \(0.808644\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −12.2185 | − | 5.06108i | −0.837199 | − | 0.346779i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −3.40766 | + | 3.40766i | −0.232400 | + | 0.232400i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.33619 | − | 1.33619i | −0.0907065 | − | 0.0907065i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.198965 | − | 0.480344i | 0.0134448 | − | 0.0324586i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.61671 | + | 2.74073i | −0.445088 | + | 0.184361i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.30716 | −0.556288 | −0.278144 | − | 0.960539i | \(-0.589719\pi\) | ||||
−0.278144 | + | 0.960539i | \(0.589719\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 4.83460 | 0.322306 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −21.6055 | + | 8.94931i | −1.43401 | + | 0.593987i | −0.958338 | − | 0.285636i | \(-0.907795\pi\) |
−0.475672 | + | 0.879623i | \(0.657795\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −4.89379 | + | 11.8147i | −0.323391 | + | 0.780734i | 0.675662 | + | 0.737212i | \(0.263858\pi\) |
−0.999052 | + | 0.0435225i | \(0.986142\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.14235 | + | 2.14235i | 0.140956 | + | 0.140956i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −14.3237 | + | 14.3237i | −0.938376 | + | 0.938376i | −0.998208 | − | 0.0598327i | \(-0.980943\pi\) |
0.0598327 | + | 0.998208i | \(0.480943\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.81021 | + | 1.16403i | 0.183318 | + | 0.0759329i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.24931 | − | 5.43032i | −0.146109 | − | 0.352737i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 11.8083i | − | 0.763816i | −0.924200 | − | 0.381908i | \(-0.875267\pi\) | ||
0.924200 | − | 0.381908i | \(-0.124733\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 8.34145i | − | 0.537320i | −0.963235 | − | 0.268660i | \(-0.913419\pi\) | ||
0.963235 | − | 0.268660i | \(-0.0865808\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.382683 | − | 0.923880i | −0.0245492 | − | 0.0592669i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −2.25234 | − | 0.932948i | −0.143896 | − | 0.0596039i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −18.5839 | + | 18.5839i | −1.18247 | + | 1.18247i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 2.99412 | + | 2.99412i | 0.189745 | + | 0.189745i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.31548 | − | 20.0753i | 0.524868 | − | 1.26714i | −0.409979 | − | 0.912095i | \(-0.634464\pi\) |
0.934848 | − | 0.355049i | \(-0.115536\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.64026 | − | 1.50785i | 0.228861 | − | 0.0947974i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.430804 | −0.0269780 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 10.8777 | 0.678532 | 0.339266 | − | 0.940690i | \(-0.389821\pi\) | ||||
0.339266 | + | 0.940690i | \(0.389821\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.02154 | − | 1.25156i | 0.187749 | − | 0.0777683i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 3.16605 | − | 7.64351i | 0.195973 | − | 0.473121i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.59878 | + | 2.59878i | 0.160248 | + | 0.160248i | 0.782676 | − | 0.622429i | \(-0.213854\pi\) |
−0.622429 | + | 0.782676i | \(0.713854\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.35987 | − | 2.35987i | 0.144966 | − | 0.144966i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 10.8841 | + | 4.50836i | 0.666098 | + | 0.275907i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.53422 | + | 6.11815i | 0.154514 | + | 0.373030i | 0.982114 | − | 0.188289i | \(-0.0602941\pi\) |
−0.827600 | + | 0.561319i | \(0.810294\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 25.4870i | − | 1.54823i | −0.633046 | − | 0.774114i | \(-0.718196\pi\) | ||
0.633046 | − | 0.774114i | \(-0.281804\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.78015i | 0.410353i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −5.58969 | − | 13.4947i | −0.337071 | − | 0.813762i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.45033 | − | 0.600745i | −0.0871416 | − | 0.0360952i | 0.338687 | − | 0.940899i | \(-0.390017\pi\) |
−0.425828 | + | 0.904804i | \(0.640017\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.33245 | − | 1.33245i | 0.0797716 | − | 0.0797716i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −3.62873 | − | 3.62873i | −0.216472 | − | 0.216472i | 0.590538 | − | 0.807010i | \(-0.298916\pi\) |
−0.807010 | + | 0.590538i | \(0.798916\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.49752 | − | 6.02955i | 0.148462 | − | 0.358419i | −0.832101 | − | 0.554625i | \(-0.812862\pi\) |
0.980563 | + | 0.196205i | \(0.0628619\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.46056 | + | 0.604985i | −0.0865162 | + | 0.0358362i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −7.26082 | −0.428593 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 15.8780 | 0.933997 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.36413 | + | 3.05032i | −0.431693 | + | 0.178813i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 0.743879 | − | 1.79588i | 0.0434579 | − | 0.104917i | −0.900660 | − | 0.434524i | \(-0.856916\pi\) |
0.944118 | + | 0.329608i | \(0.106916\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.10711 | + | 3.10711i | 0.180903 | + | 0.180903i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −2.13635 | + | 2.13635i | −0.123964 | + | 0.123964i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.14640 | + | 3.37435i | 0.471118 | + | 0.195144i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.54731 | + | 10.9782i | 0.262103 | + | 0.632772i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 9.49876i | 0.545690i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.598068i | 0.0342453i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.42212 | + | 20.3328i | 0.480676 | + | 1.16045i | 0.959289 | + | 0.282428i | \(0.0911397\pi\) |
−0.478613 | + | 0.878026i | \(0.658860\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 3.19490 | + | 1.32337i | 0.181752 | + | 0.0752840i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 13.1751 | − | 13.1751i | 0.747092 | − | 0.747092i | −0.226840 | − | 0.973932i | \(-0.572839\pi\) |
0.973932 | + | 0.226840i | \(0.0728394\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.0669 | − | 17.0669i | −0.964680 | − | 0.964680i | 0.0347173 | − | 0.999397i | \(-0.488947\pi\) |
−0.999397 | + | 0.0347173i | \(0.988947\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.156074 | + | 0.376797i | −0.00879379 | + | 0.0212301i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −2.20756 | + | 0.914403i | −0.123989 | + | 0.0513580i | −0.443815 | − | 0.896118i | \(-0.646375\pi\) |
0.319826 | + | 0.947476i | \(0.396375\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −24.9957 | −1.39949 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 15.9326 | 0.889271 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.80409 | + | 1.57571i | −0.211666 | + | 0.0876747i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 12.5090 | − | 30.1993i | 0.693872 | − | 1.67516i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −6.73364 | − | 6.73364i | −0.372371 | − | 0.372371i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.30338 | − | 5.30338i | 0.292385 | − | 0.292385i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.52800 | − | 2.28977i | −0.303846 | − | 0.125857i | 0.225551 | − | 0.974231i | \(-0.427582\pi\) |
−0.529397 | + | 0.848374i | \(0.677582\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.24806 | + | 3.01308i | 0.0683931 | + | 0.165116i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | − | 4.78513i | − | 0.261440i | ||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 12.4013i | − | 0.675540i | −0.941229 | − | 0.337770i | \(-0.890327\pi\) | ||
0.941229 | − | 0.337770i | \(-0.109673\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 2.60196 | + | 6.28168i | 0.141319 | + | 0.341174i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.25979 | − | 2.17868i | −0.284834 | − | 0.117982i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −9.21421 | + | 9.21421i | −0.497521 | + | 0.497521i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.375049 | + | 0.375049i | 0.0201920 | + | 0.0201920i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −1.93560 | + | 4.67295i | −0.103908 | + | 0.250857i | −0.967280 | − | 0.253712i | \(-0.918349\pi\) |
0.863371 | + | 0.504569i | \(0.168349\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.69921 | + | 1.11805i | −0.144485 | + | 0.0598478i | −0.453754 | − | 0.891127i | \(-0.649916\pi\) |
0.309269 | + | 0.950975i | \(0.399916\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.76116 | −0.360884 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.35055 | 0.178332 | 0.0891658 | − | 0.996017i | \(-0.471580\pi\) | ||||
0.0891658 | + | 0.996017i | \(0.471580\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.96927 | + | 2.05834i | −0.263741 | + | 0.109245i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.406502 | + | 0.981383i | −0.0215144 | + | 0.0519403i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −11.9270 | − | 11.9270i | −0.629483 | − | 0.629483i | 0.318455 | − | 0.947938i | \(-0.396836\pi\) |
−0.947938 | + | 0.318455i | \(0.896836\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.75072 | − | 2.75072i | 0.144775 | − | 0.144775i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.72949 | − | 0.716378i | −0.0907747 | − | 0.0376001i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.0809190 | − | 0.195356i | −0.00423549 | − | 0.0102254i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 28.5325i | − | 1.48939i | −0.667407 | − | 0.744693i | \(-0.732596\pi\) | ||
0.667407 | − | 0.744693i | \(-0.267404\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 7.24049i | − | 0.376925i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −3.14910 | − | 7.60260i | −0.163493 | − | 0.394707i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 16.9506 | + | 7.02116i | 0.877668 | + | 0.363542i | 0.775592 | − | 0.631235i | \(-0.217452\pi\) |
0.102076 | + | 0.994777i | \(0.467452\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 2.82823 | − | 2.82823i | 0.146049 | − | 0.146049i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −39.5534 | − | 39.5534i | −2.03710 | − | 2.03710i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.48842 | + | 10.8360i | −0.230555 | + | 0.556608i | −0.996243 | − | 0.0866037i | \(-0.972399\pi\) |
0.765688 | + | 0.643212i | \(0.222399\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.78113 | − | 1.98041i | 0.244945 | − | 0.101459i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.94835 | 0.201751 | 0.100876 | − | 0.994899i | \(-0.467836\pi\) | ||||
0.100876 | + | 0.994899i | \(0.467836\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.23220 | 0.0627985 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −10.9474 | + | 4.53458i | −0.556490 | + | 0.230506i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 6.63971 | − | 16.0297i | 0.336647 | − | 0.812737i | −0.661386 | − | 0.750045i | \(-0.730032\pi\) |
0.998033 | − | 0.0626914i | \(-0.0199684\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.976831 | + | 0.976831i | 0.0494005 | + | 0.0494005i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0.0107146 | − | 0.0107146i | 0.000540480 | − | 0.000540480i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.20851 | − | 0.914795i | −0.111122 | − | 0.0460283i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.83049 | + | 4.41918i | 0.0918695 | + | 0.221792i | 0.963134 | − | 0.269020i | \(-0.0866999\pi\) |
−0.871265 | + | 0.490813i | \(0.836700\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 3.89806i | 0.195147i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 23.8940i | − | 1.19321i | −0.802536 | − | 0.596604i | \(-0.796516\pi\) | ||
0.802536 | − | 0.596604i | \(-0.203484\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.87558 | − | 11.7707i | −0.242870 | − | 0.586340i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.375742 | − | 0.155637i | −0.0186708 | − | 0.00773368i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.96736 | − | 6.96736i | 0.345359 | − | 0.345359i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 13.8337 | + | 13.8337i | 0.684032 | + | 0.684032i | 0.960906 | − | 0.276874i | \(-0.0892985\pi\) |
−0.276874 | + | 0.960906i | \(0.589299\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 4.73734 | − | 11.4370i | 0.233676 | − | 0.564144i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 10.0099 | − | 4.14624i | 0.492556 | − | 0.204023i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.72210 | 0.0845345 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.368264 | −0.0180340 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.473345 | − | 0.196066i | 0.0231244 | − | 0.00957845i | −0.371091 | − | 0.928596i | \(-0.621016\pi\) |
0.394216 | + | 0.919018i | \(0.371016\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.25389 | + | 3.02716i | −0.0611109 | + | 0.147535i | −0.951485 | − | 0.307694i | \(-0.900443\pi\) |
0.890374 | + | 0.455229i | \(0.150443\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 5.28853 | + | 5.28853i | 0.257137 | + | 0.257137i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.62118 | − | 3.62118i | 0.175653 | − | 0.175653i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.36242 | + | 0.564331i | 0.0659319 | + | 0.0273099i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 7.81716 | + | 18.8723i | 0.377416 | + | 0.911163i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 29.1399i | − | 1.40362i | −0.712365 | − | 0.701810i | \(-0.752376\pi\) | ||
0.712365 | − | 0.701810i | \(-0.247624\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 5.66352i | − | 0.272172i | −0.990697 | − | 0.136086i | \(-0.956548\pi\) | ||
0.990697 | − | 0.136086i | \(-0.0434523\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.28763 | − | 3.10861i | −0.0617371 | − | 0.149047i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 4.68355 | + | 1.93999i | 0.224045 | + | 0.0928023i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 10.7013 | − | 10.7013i | 0.510743 | − | 0.510743i | −0.404011 | − | 0.914754i | \(-0.632384\pi\) |
0.914754 | + | 0.404011i | \(0.132384\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.23866 | − | 4.23866i | −0.201841 | − | 0.201841i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 14.3853 | − | 34.7291i | 0.683464 | − | 1.65003i | −0.0740866 | − | 0.997252i | \(-0.523604\pi\) |
0.757551 | − | 0.652776i | \(-0.226396\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.42658 | − | 1.83355i | 0.209840 | − | 0.0869185i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −12.4754 | −0.590067 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −26.7000 | −1.26005 | −0.630025 | − | 0.776575i | \(-0.716956\pi\) | ||||
−0.630025 | + | 0.776575i | \(0.716956\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −20.2102 | + | 8.37136i | −0.951663 | + | 0.394192i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 3.04858 | − | 7.35993i | 0.143235 | − | 0.345800i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.94984 | + | 1.94984i | 0.0914097 | + | 0.0914097i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.66332 | − | 1.66332i | 0.0778069 | − | 0.0778069i | −0.667132 | − | 0.744939i | \(-0.732478\pi\) |
0.744939 | + | 0.667132i | \(0.232478\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.978635 | − | 0.405364i | −0.0456788 | − | 0.0189208i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.49519 | − | 8.43813i | −0.162787 | − | 0.393003i | 0.821347 | − | 0.570429i | \(-0.193223\pi\) |
−0.984134 | + | 0.177426i | \(0.943223\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.1833i | 0.566204i | 0.959090 | + | 0.283102i | \(0.0913635\pi\) | ||||
−0.959090 | + | 0.283102i | \(0.908636\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | − | 0.766371i | − | 0.0355396i | ||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −4.89494 | − | 11.8174i | −0.226511 | − | 0.546846i | 0.769237 | − | 0.638963i | \(-0.220636\pi\) |
−0.995748 | + | 0.0921176i | \(0.970636\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −10.9007 | − | 4.51520i | −0.503346 | − | 0.208493i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.5809 | + | 11.5809i | −0.533621 | + | 0.533621i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 25.3146 | + | 25.3146i | 1.16396 | + | 1.16396i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.19168 | − | 17.3623i | 0.329977 | − | 0.796635i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.58131 | − | 3.14028i | 0.347125 | − | 0.143784i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −19.9031 | −0.909396 | −0.454698 | − | 0.890646i | \(-0.650253\pi\) | ||||
−0.454698 | + | 0.890646i | \(0.650253\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 22.0504 | 1.00541 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.20826 | − | 0.500480i | 0.0549780 | − | 0.0227726i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.24057 | + | 2.99499i | −0.0563312 | + | 0.135995i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.3518 | + | 16.3518i | 0.740969 | + | 0.740969i | 0.972765 | − | 0.231795i | \(-0.0744599\pi\) |
−0.231795 | + | 0.972765i | \(0.574460\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9.54542 | − | 9.54542i | 0.431659 | − | 0.431659i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7.50463 | − | 3.10852i | −0.338679 | − | 0.140286i | 0.206861 | − | 0.978370i | \(-0.433675\pi\) |
−0.545540 | + | 0.838085i | \(0.683675\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −3.35369 | − | 8.09652i | −0.151042 | − | 0.364649i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.22875i | 0.0552280i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 13.2624i | 0.594899i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −4.17340 | − | 10.0755i | −0.186827 | − | 0.451041i | 0.802518 | − | 0.596627i | \(-0.203493\pi\) |
−0.989345 | + | 0.145587i | \(0.953493\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 17.1066 | + | 7.08580i | 0.764268 | + | 0.316570i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −18.7140 | + | 18.7140i | −0.834416 | + | 0.834416i | −0.988117 | − | 0.153701i | \(-0.950881\pi\) |
0.153701 | + | 0.988117i | \(0.450881\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.73166 | + | 2.73166i | 0.121557 | + | 0.121557i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −12.5188 | + | 30.2231i | −0.555981 | + | 1.34226i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −37.2151 | + | 15.4150i | −1.64953 | + | 0.683258i | −0.997207 | − | 0.0746822i | \(-0.976206\pi\) |
−0.652324 | + | 0.757940i | \(0.726206\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.521380 | −0.0230645 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.88714 | −0.171622 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.29937 | − | 0.538215i | 0.0572569 | − | 0.0237166i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8.64725 | − | 20.8763i | 0.380306 | − | 0.918139i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.70304 | + | 5.70304i | 0.250336 | + | 0.250336i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.78297 | − | 9.78297i | 0.428600 | − | 0.428600i | −0.459551 | − | 0.888151i | \(-0.651990\pi\) |
0.888151 | + | 0.459551i | \(0.151990\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 9.08765 | + | 3.76423i | 0.397375 | + | 0.164598i | 0.572417 | − | 0.819963i | \(-0.306006\pi\) |
−0.175042 | + | 0.984561i | \(0.556006\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −1.85531 | − | 4.47913i | −0.0809726 | − | 0.195485i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − | 1.99605i | − | 0.0869491i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.2992i | 0.926051i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 4.13463 | + | 9.98188i | 0.179428 | + | 0.433177i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −45.2277 | − | 18.7339i | −1.95903 | − | 0.811457i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.58190 | − | 4.58190i | 0.198093 | − | 0.198093i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 6.41240 | + | 6.41240i | 0.276715 | + | 0.276715i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −6.93062 | + | 16.7320i | −0.298523 | + | 0.720698i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.5649 | − | 8.51826i | 0.884154 | − | 0.366229i | 0.106048 | − | 0.994361i | \(-0.466180\pi\) |
0.778106 | + | 0.628132i | \(0.216180\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 22.5446 | 0.967482 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.87292 | −0.165898 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.2473 | + | 7.55828i | −0.780198 | + | 0.323169i | −0.736996 | − | 0.675898i | \(-0.763756\pi\) |
−0.0432027 | + | 0.999066i | \(0.513756\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.562751 | + | 1.35860i | −0.0240176 | + | 0.0579837i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −22.7401 | − | 22.7401i | −0.968763 | − | 0.968763i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.16786 | + | 4.16786i | −0.177235 | + | 0.177235i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 1.22542 | + | 0.507585i | 0.0520161 | + | 0.0215458i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 2.57380 | + | 6.21371i | 0.109056 | + | 0.263283i | 0.968981 | − | 0.247137i | \(-0.0794898\pi\) |
−0.859925 | + | 0.510420i | \(0.829490\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 80.1159i | 3.38854i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 3.20032i | 0.135118i | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.34911 | − | 8.08547i | −0.141148 | − | 0.340762i | 0.837459 | − | 0.546501i | \(-0.184040\pi\) |
−0.978607 | + | 0.205738i | \(0.934040\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.55476 | + | 1.05822i | 0.107480 | + | 0.0445195i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.709092 | + | 0.709092i | −0.0297791 | + | 0.0297791i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −5.86928 | − | 5.86928i | −0.246053 | − | 0.246053i | 0.573296 | − | 0.819349i | \(-0.305665\pi\) |
−0.819349 | + | 0.573296i | \(0.805665\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −4.92409 | + | 11.8878i | −0.206067 | + | 0.497489i | −0.992797 | − | 0.119808i | \(-0.961772\pi\) |
0.786730 | + | 0.617297i | \(0.211772\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 9.24797 | − | 3.83064i | 0.386340 | − | 0.160027i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.30506 | −0.262939 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 12.4165 | 0.516905 | 0.258453 | − | 0.966024i | \(-0.416787\pi\) | ||||
0.258453 | + | 0.966024i | \(0.416787\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.78684 | − | 3.63963i | 0.365169 | − | 0.151258i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.62496 | − | 3.92299i | 0.0674145 | − | 0.162753i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −17.5308 | − | 17.5308i | −0.726052 | − | 0.726052i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.94438 | + | 1.94438i | −0.0803900 | + | 0.0803900i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 11.0333 | + | 4.57014i | 0.455392 | + | 0.188630i | 0.598575 | − | 0.801067i | \(-0.295734\pi\) |
−0.143183 | + | 0.989696i | \(0.545734\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.80308 | − | 6.76724i | −0.115499 | − | 0.278839i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 13.7797i | − | 0.566819i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 24.1273i | 0.990791i | 0.868668 | + | 0.495395i | \(0.164977\pi\) | ||||
−0.868668 | + | 0.495395i | \(0.835023\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.165324 | + | 0.399128i | 0.00677764 | + | 0.0163627i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 12.7296 | + | 5.27279i | 0.520989 | + | 0.215801i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 22.1187 | − | 22.1187i | 0.903747 | − | 0.903747i | −0.0920113 | − | 0.995758i | \(-0.529330\pi\) |
0.995758 | + | 0.0920113i | \(0.0293296\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 20.4369 | + | 20.4369i | 0.833637 | + | 0.833637i | 0.988012 | − | 0.154375i | \(-0.0493365\pi\) |
−0.154375 | + | 0.988012i | \(0.549336\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.50256 | − | 10.8701i | 0.183358 | − | 0.442666i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −0.703383 | + | 0.291351i | −0.0285966 | + | 0.0118451i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 38.6180 | 1.56745 | 0.783727 | − | 0.621105i | \(-0.213316\pi\) | ||||
0.783727 | + | 0.621105i | \(0.213316\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −8.29651 | −0.336191 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 46.7183 | − | 19.3513i | 1.89002 | − | 0.782872i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.6069 | + | 25.6072i | −0.428407 | + | 1.03427i | 0.551385 | + | 0.834251i | \(0.314099\pi\) |
−0.979793 | + | 0.200016i | \(0.935901\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.08222 | − | 2.08222i | −0.0839633 | − | 0.0839633i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −31.9989 | + | 31.9989i | −1.28823 | + | 1.28823i | −0.352364 | + | 0.935863i | \(0.614622\pi\) |
−0.935863 | + | 0.352364i | \(0.885378\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −29.4178 | − | 12.1852i | −1.18240 | − | 0.489766i | −0.297127 | − | 0.954838i | \(-0.596029\pi\) |
−0.885273 | + | 0.465072i | \(0.846029\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0.499078 | + | 1.20488i | 0.0200273 | + | 0.0483502i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | − | 11.8140i | − | 0.473317i | ||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 22.5463i | 0.901852i | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.49426 | + | 10.8501i | 0.179484 | + | 0.433312i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.19165 | + | 1.32203i | 0.127260 | + | 0.0527126i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.23619 | − | 8.23619i | 0.327878 | − | 0.327878i | −0.523901 | − | 0.851779i | \(-0.675524\pi\) |
0.851779 | + | 0.523901i | \(0.175524\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.25143 | + | 4.25143i | 0.168979 | + | 0.168979i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.805431 | − | 1.94448i | 0.0319626 | − | 0.0771645i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −37.4439 | + | 15.5098i | −1.48358 | + | 0.614519i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −13.2252 | −0.523182 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.56808 | 0.338419 | 0.169209 | − | 0.985580i | \(-0.445879\pi\) | ||||
0.169209 | + | 0.985580i | \(0.445879\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 3.61947 | − | 1.49923i | 0.142738 | − | 0.0591240i | −0.310171 | − | 0.950681i | \(-0.600386\pi\) |
0.452909 | + | 0.891557i | \(0.350386\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.84421 | + | 4.45232i | −0.0726158 | + | 0.175310i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23.7346 | + | 23.7346i | 0.933105 | + | 0.933105i | 0.997899 | − | 0.0647935i | \(-0.0206389\pi\) |
−0.0647935 | + | 0.997899i | \(0.520639\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 23.0818 | − | 23.0818i | 0.906041 | − | 0.906041i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −1.74582 | − | 0.723141i | −0.0684239 | − | 0.0283421i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −9.65936 | − | 23.3198i | −0.378000 | − | 0.912573i | −0.992341 | − | 0.123532i | \(-0.960578\pi\) |
0.614341 | − | 0.789041i | \(-0.289422\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | − | 0.00616262i | − | 0.000240793i | ||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | − | 0.519920i | − | 0.0202840i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 14.0711 | + | 33.9708i | 0.548134 | + | 1.32331i | 0.918865 | + | 0.394572i | \(0.129107\pi\) |
−0.370731 | + | 0.928740i | \(0.620893\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −20.5485 | − | 8.51149i | −0.799246 | − | 0.331058i | −0.0545915 | − | 0.998509i | \(-0.517386\pi\) |
−0.744654 | + | 0.667450i | \(0.767386\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.06421 | + | 5.06421i | −0.196678 | + | 0.196678i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1.12100 | + | 1.12100i | 0.0434707 | + | 0.0434707i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.12901 | + | 9.96832i | −0.159876 | + | 0.385975i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −7.67481 | + | 3.17901i | −0.296725 | + | 0.122908i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.44288 | 0.171516 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −32.6628 | −1.25906 | −0.629529 | − | 0.776977i | \(-0.716752\pi\) | ||||
−0.629529 | + | 0.776977i | \(0.716752\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.46658 | − | 1.85012i | 0.171919 | − | 0.0712111i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −18.6093 | + | 44.9269i | −0.715215 | + | 1.72668i | −0.0286762 | + | 0.999589i | \(0.509129\pi\) |
−0.686539 | + | 0.727093i | \(0.740871\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 5.65209 | + | 5.65209i | 0.216907 | + | 0.216907i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −16.5362 | + | 16.5362i | −0.633667 | + | 0.633667i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 7.54722 | + | 3.12616i | 0.288786 | + | 0.119619i | 0.522374 | − | 0.852717i | \(-0.325047\pi\) |
−0.233588 | + | 0.972336i | \(0.575047\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.92668 | − | 4.65141i | −0.0736145 | − | 0.177721i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.7881i | 0.487896i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | − | 55.4818i | − | 2.11369i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −11.8386 | − | 28.5808i | −0.450360 | − | 1.08727i | −0.972185 | − | 0.234213i | \(-0.924749\pi\) |
0.521825 | − | 0.853053i | \(-0.325251\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.79912 | + | 1.15943i | 0.106330 | + | 0.0440432i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.105905 | + | 0.105905i | −0.00401722 | + | 0.00401722i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.42324 | − | 5.42324i | −0.205420 | − | 0.205420i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −7.75192 | + | 18.7148i | −0.293205 | + | 0.707859i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 39.3636 | − | 16.3049i | 1.48674 | − | 0.615829i | 0.516138 | − | 0.856505i | \(-0.327369\pi\) |
0.970606 | + | 0.240676i | \(0.0773691\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 12.6773 | 0.478132 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 3.04175 | 0.114559 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 8.80035 | − | 3.64523i | 0.330971 | − | 0.137093i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.95013 | + | 24.0218i | −0.373685 | + | 0.902156i | 0.619434 | + | 0.785049i | \(0.287362\pi\) |
−0.993119 | + | 0.117107i | \(0.962638\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −4.15619 | − | 4.15619i | −0.155869 | − | 0.155869i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.73772 | + | 1.73772i | −0.0650781 | + | 0.0650781i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.67536 | + | 3.17924i | 0.287042 | + | 0.118897i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.51884 | − | 10.9095i | −0.168759 | − | 0.407421i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 21.4598i | 0.800314i | 0.916447 | + | 0.400157i | \(0.131044\pi\) | ||||
−0.916447 | + | 0.400157i | \(0.868956\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 3.46785i | − | 0.129149i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −3.19213 | − | 7.70649i | −0.118717 | − | 0.286608i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 36.9533 | + | 15.3066i | 1.37241 | + | 0.568471i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −29.1500 | + | 29.1500i | −1.08111 | + | 1.08111i | −0.0847075 | + | 0.996406i | \(0.526996\pi\) |
−0.996406 | + | 0.0847075i | \(0.973004\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.707107 | − | 0.707107i | −0.0261891 | − | 0.0261891i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −4.80333 | + | 11.5963i | −0.177658 | + | 0.428903i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 24.5981 | − | 10.1889i | 0.908551 | − | 0.376334i | 0.121049 | − | 0.992646i | \(-0.461374\pi\) |
0.787502 | + | 0.616312i | \(0.211374\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.43791 | −0.0899237 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −35.5474 | −1.30941 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 32.6336 | − | 13.5173i | 1.20044 | − | 0.497240i | 0.309302 | − | 0.950964i | \(-0.399905\pi\) |
0.891143 | + | 0.453723i | \(0.149905\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −10.0575 | + | 24.2810i | −0.369473 | + | 0.891986i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.74184 | + | 1.74184i | 0.0639017 | + | 0.0639017i | 0.738335 | − | 0.674434i | \(-0.235612\pi\) |
−0.674434 | + | 0.738335i | \(0.735612\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −3.58768 | + | 3.58768i | −0.131442 | + | 0.131442i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.91201 | + | 1.62041i | 0.143133 | + | 0.0592876i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −6.11427 | − | 14.7611i | −0.223410 | − | 0.539360i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.87921i | 0.105064i | 0.998619 | + | 0.0525319i | \(0.0167291\pi\) | ||||
−0.998619 | + | 0.0525319i | \(0.983271\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 21.7294i | − | 0.791863i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −1.23986 | − | 2.99328i | −0.0451231 | − | 0.108937i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −5.34241 | − | 2.21290i | −0.194173 | − | 0.0804292i | 0.283478 | − | 0.958979i | \(-0.408512\pi\) |
−0.477651 | + | 0.878550i | \(0.658512\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 2.78614 | − | 2.78614i | 0.101130 | − | 0.101130i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.3052 | + | 10.3052i | 0.373565 | + | 0.373565i | 0.868774 | − | 0.495209i | \(-0.164908\pi\) |
−0.495209 | + | 0.868774i | \(0.664908\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.65445 | + | 8.82263i | −0.132300 | + | 0.319401i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.398011 | + | 0.164861i | −0.0143901 | + | 0.00596058i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 73.0497 | 2.63767 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −45.8055 | −1.65179 | −0.825894 | − | 0.563826i | \(-0.809329\pi\) | ||||
−0.825894 | + | 0.563826i | \(0.809329\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.0497 | − | 4.16272i | 0.361931 | − | 0.149917i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −5.47235 | + | 13.2114i | −0.196827 | + | 0.475182i | −0.991220 | − | 0.132222i | \(-0.957789\pi\) |
0.794393 | + | 0.607404i | \(0.207789\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.44185 | + | 6.44185i | 0.231398 | + | 0.231398i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 2.31258 | − | 2.31258i | 0.0829635 | − | 0.0829635i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −26.0024 | − | 10.7706i | −0.931634 | − | 0.385896i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 15.2908 | + | 36.9153i | 0.547149 | + | 1.32093i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | − | 8.27328i | − | 0.295663i | ||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.66090i | 0.237738i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.7659 | + | 38.0621i | 0.561992 | + | 1.35677i | 0.908171 | + | 0.418600i | \(0.137479\pi\) |
−0.346179 | + | 0.938169i | \(0.612521\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.39547 | + | 1.40645i | 0.120882 | + | 0.0500709i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.82129 | − | 4.82129i | 0.171425 | − | 0.171425i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.03044 | + | 7.03044i | 0.249658 | + | 0.249658i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.27715 | − | 3.08332i | 0.0452959 | − | 0.109354i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −48.3932 | + | 20.0451i | −1.71418 | + | 0.710035i | −0.714226 | + | 0.699915i | \(0.753221\pi\) |
−0.999949 | + | 0.0101198i | \(0.996779\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.92238 | 0.280274 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.7809 | 0.416258 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.45124 | + | 0.601125i | −0.0512133 | + | 0.0212132i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.203545 | − | 0.491401i | 0.00717402 | − | 0.0173196i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 4.68263 | + | 4.68263i | 0.164836 | + | 0.164836i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −8.44314 | + | 8.44314i | −0.296845 | + | 0.296845i | −0.839777 | − | 0.542932i | \(-0.817314\pi\) |
0.542932 | + | 0.839777i | \(0.317314\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 23.8583 | + | 9.88243i | 0.837778 | + | 0.347019i | 0.759977 | − | 0.649950i | \(-0.225210\pi\) |
0.0778011 | + | 0.996969i | \(0.475210\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −9.75347 | − | 23.5470i | −0.342069 | − | 0.825828i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − | 5.49015i | − | 0.192311i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 46.0604i | 1.61145i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 2.59465 | + | 6.26404i | 0.0906644 | + | 0.218883i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 32.6979 | + | 13.5439i | 1.14117 | + | 0.472686i | 0.871562 | − | 0.490285i | \(-0.163107\pi\) |
0.269604 | + | 0.962971i | \(0.413107\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 36.5949 | − | 36.5949i | 1.27562 | − | 1.27562i | 0.332524 | − | 0.943095i | \(-0.392100\pi\) |
0.943095 | − | 0.332524i | \(-0.107900\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −10.3284 | − | 10.3284i | −0.359589 | − | 0.359589i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 3.44587 | − | 8.31906i | 0.119824 | − | 0.289282i | −0.852575 | − | 0.522605i | \(-0.824960\pi\) |
0.972399 | + | 0.233323i | \(0.0749601\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 31.0049 | − | 12.8427i | 1.07685 | − | 0.446044i | 0.227444 | − | 0.973791i | \(-0.426963\pi\) |
0.849402 | + | 0.527747i | \(0.176963\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −1.56982 | −0.0544565 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −6.34964 | −0.220002 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.95726 | − | 2.88179i | 0.240766 | − | 0.0997285i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.721116 | − | 1.74093i | 0.0249254 | − | 0.0601753i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −24.3721 | − | 24.3721i | −0.841418 | − | 0.841418i | 0.147625 | − | 0.989043i | \(-0.452837\pi\) |
−0.989043 | + | 0.147625i | \(0.952837\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 27.8933 | − | 27.8933i | 0.961838 | − | 0.961838i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −4.74116 | − | 1.96385i | −0.163294 | − | 0.0676387i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 5.09141 | + | 12.2917i | 0.175150 | + | 0.422849i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.87724i | 0.0645028i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | − | 6.52633i | − | 0.223983i | ||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.62766 | − | 3.92952i | −0.0557955 | − | 0.134702i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −33.3194 | − | 13.8013i | −1.14083 | − | 0.472548i | −0.269383 | − | 0.963033i | \(-0.586820\pi\) |
−0.871450 | + | 0.490485i | \(0.836820\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −1.11787 | + | 1.11787i | −0.0382302 | + | 0.0382302i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −18.3586 | − | 18.3586i | −0.627119 | − | 0.627119i | 0.320223 | − | 0.947342i | \(-0.396242\pi\) |
−0.947342 | + | 0.320223i | \(0.896242\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.92601 | − | 9.47823i | 0.133954 | − | 0.323393i | −0.842643 | − | 0.538473i | \(-0.819001\pi\) |
0.976596 | + | 0.215080i | \(0.0690013\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6.70813 | + | 2.77860i | −0.228612 | + | 0.0946943i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −31.1176 | −1.05925 | −0.529627 | − | 0.848231i | \(-0.677668\pi\) | ||||
−0.529627 | + | 0.848231i | \(0.677668\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.28016 | 0.111529 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 14.6693 | − | 6.07623i | 0.498196 | − | 0.206360i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −6.79576 | + | 16.4064i | −0.230530 | + | 0.556550i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −56.2504 | − | 56.2504i | −1.90597 | − | 1.90597i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −5.63626 | + | 5.63626i | −0.190759 | + | 0.190759i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −3.70564 | − | 1.53493i | −0.125274 | − | 0.0518900i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1.50097 | − | 3.62367i | −0.0506843 | − | 0.122363i | 0.896509 | − | 0.443025i | \(-0.146095\pi\) |
−0.947194 | + | 0.320662i | \(0.896095\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 1.94385i | − | 0.0655644i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 5.19539i | 0.175037i | 0.996163 | + | 0.0875186i | \(0.0278937\pi\) | ||||
−0.996163 | + | 0.0875186i | \(0.972106\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 16.3773 | + | 39.5382i | 0.551139 | + | 1.33057i | 0.916624 | + | 0.399750i | \(0.130903\pi\) |
−0.365486 | + | 0.930817i | \(0.619097\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 4.05963 | + | 1.68155i | 0.136463 | + | 0.0565248i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −16.0073 | + | 16.0073i | −0.537473 | + | 0.537473i | −0.922786 | − | 0.385313i | \(-0.874093\pi\) |
0.385313 | + | 0.922786i | \(0.374093\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −3.66959 | − | 3.66959i | −0.123074 | − | 0.123074i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.15619 | + | 2.79128i | −0.0387337 | + | 0.0935114i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 26.8594 | − | 11.1255i | 0.898815 | − | 0.372302i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.68816 | 0.123282 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.81760 | 0.294411 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 14.4032 | − | 5.96599i | 0.480373 | − | 0.198977i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.32640 | − | 8.03063i | 0.110818 | − | 0.267539i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 8.40234 | + | 8.40234i | 0.279612 | + | 0.279612i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 6.48339 | − | 6.48339i | 0.215515 | − | 0.215515i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 27.8131 | + | 11.5206i | 0.923519 | + | 0.382534i | 0.793216 | − | 0.608940i | \(-0.208405\pi\) |
0.130303 | + | 0.991474i | \(0.458405\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 3.63502 | + | 8.77571i | 0.120566 | + | 0.291072i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 39.3207i | 1.30275i | 0.758755 | + | 0.651376i | \(0.225808\pi\) | ||||
−0.758755 | + | 0.651376i | \(0.774192\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 12.7930i | − | 0.423386i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.228871 | + | 0.552543i | 0.00756623 | + | 0.0182665i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −0.0140386 | − | 0.00581499i | −0.000463596 | − | 0.000192028i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 11.6061 | − | 11.6061i | 0.382849 | − | 0.382849i | −0.489279 | − | 0.872128i | \(-0.662740\pi\) |
0.872128 | + | 0.489279i | \(0.162740\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 15.5620 | + | 15.5620i | 0.512787 | + | 0.512787i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −34.2188 | + | 82.6114i | −1.12632 | + | 2.71919i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.5670 | + | 6.03385i | −0.478960 | + | 0.198392i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 3.45814 | 0.113580 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 0.158082 | 0.00518650 | 0.00259325 | − | 0.999997i | \(-0.499175\pi\) | ||||
0.00259325 | + | 0.999997i | \(0.499175\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −21.5273 | + | 8.91691i | −0.705529 | + | 0.292240i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 7.13032 | − | 17.2141i | 0.233436 | − | 0.563565i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.920349 | + | 0.920349i | 0.0300986 | + | 0.0300986i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.69489 | − | 4.69489i | 0.153376 | − | 0.153376i | −0.626248 | − | 0.779624i | \(-0.715410\pi\) |
0.779624 | + | 0.626248i | \(0.215410\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −22.2990 | − | 9.23656i | −0.727701 | − | 0.301424i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −10.6171 | − | 25.6321i | −0.346109 | − | 0.835581i | −0.997072 | − | 0.0764715i | \(-0.975635\pi\) |
0.650963 | − | 0.759110i | \(-0.274365\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 9.44272i | 0.307497i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.407842i | 0.0132671i | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −3.51311 | − | 8.48139i | −0.114161 | − | 0.275608i | 0.856464 | − | 0.516207i | \(-0.172656\pi\) |
−0.970625 | + | 0.240598i | \(0.922656\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −3.24768 | − | 1.34523i | −0.105424 | − | 0.0436681i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.68960 | + | 1.68960i | −0.0547889 | + | 0.0547889i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 26.3477 | + | 26.3477i | 0.853487 | + | 0.853487i | 0.990561 | − | 0.137074i | \(-0.0437697\pi\) |
−0.137074 | + | 0.990561i | \(0.543770\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.55792 | − | 3.76115i | 0.0504131 | − | 0.121708i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −23.0930 | + | 9.56545i | −0.746492 | + | 0.309207i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −12.4140 | −0.400870 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −27.4492 | −0.885457 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 14.7198 | − | 6.09714i | 0.474339 | − | 0.196478i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1.48024 | − | 3.57361i | 0.0476505 | − | 0.115038i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −18.1509 | − | 18.1509i | −0.583694 | − | 0.583694i | 0.352222 | − | 0.935916i | \(-0.385426\pi\) |
−0.935916 | + | 0.352222i | \(0.885426\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2.91153 | + | 2.91153i | −0.0935318 | + | 0.0935318i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −38.1928 | − | 15.8200i | −1.22566 | − | 0.507687i | −0.326458 | − | 0.945212i | \(-0.605855\pi\) |
−0.899206 | + | 0.437525i | \(0.855855\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.141324 | + | 0.341187i | 0.00453065 | + | 0.0109379i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | − | 32.6875i | − | 1.04684i | ||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | − | 18.3863i | − | 0.588229i | −0.955770 | − | 0.294114i | \(-0.904975\pi\) | ||
0.955770 | − | 0.294114i | \(-0.0950246\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −13.6209 | − | 32.8838i | −0.435327 | − | 1.05097i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −8.79792 | − | 3.64422i | −0.280896 | − | 0.116351i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −29.1468 | + | 29.1468i | −0.929639 | + | 0.929639i | −0.997682 | − | 0.0680436i | \(-0.978324\pi\) |
0.0680436 | + | 0.997682i | \(0.478324\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −3.96275 | − | 3.96275i | −0.126264 | − | 0.126264i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 2.87017 | − | 6.92920i | 0.0913585 | − | 0.220559i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 14.2772 | − | 5.91379i | 0.453987 | − | 0.188048i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −29.7473 | −0.944954 | −0.472477 | − | 0.881343i | \(-0.656640\pi\) | ||||
−0.472477 | + | 0.881343i | \(0.656640\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −5.98346 | −0.189879 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 5.17714 | − | 2.14444i | 0.164126 | − | 0.0679834i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −13.8686 | + | 33.4817i | −0.439223 | + | 1.06038i | 0.536995 | + | 0.843585i | \(0.319559\pi\) |
−0.976218 | + | 0.216792i | \(0.930441\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2.30611 | + | 2.30611i | 0.0729621 | + | 0.0729621i |
(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 | 768.2.n.b.97.7 | 32 | ||
4.3 | odd | 2 | 768.2.n.a.97.3 | 32 | |||
8.3 | odd | 2 | 96.2.n.a.85.6 | yes | 32 | ||
8.5 | even | 2 | 384.2.n.a.49.2 | 32 | |||
24.5 | odd | 2 | 1152.2.v.c.433.6 | 32 | |||
24.11 | even | 2 | 288.2.v.d.181.3 | 32 | |||
32.3 | odd | 8 | 768.2.n.a.673.3 | 32 | |||
32.13 | even | 8 | 384.2.n.a.337.2 | 32 | |||
32.19 | odd | 8 | 96.2.n.a.61.6 | ✓ | 32 | ||
32.29 | even | 8 | inner | 768.2.n.b.673.7 | 32 | ||
96.77 | odd | 8 | 1152.2.v.c.721.6 | 32 | |||
96.83 | even | 8 | 288.2.v.d.253.3 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.61.6 | ✓ | 32 | 32.19 | odd | 8 | ||
96.2.n.a.85.6 | yes | 32 | 8.3 | odd | 2 | ||
288.2.v.d.181.3 | 32 | 24.11 | even | 2 | |||
288.2.v.d.253.3 | 32 | 96.83 | even | 8 | |||
384.2.n.a.49.2 | 32 | 8.5 | even | 2 | |||
384.2.n.a.337.2 | 32 | 32.13 | even | 8 | |||
768.2.n.a.97.3 | 32 | 4.3 | odd | 2 | |||
768.2.n.a.673.3 | 32 | 32.3 | odd | 8 | |||
768.2.n.b.97.7 | 32 | 1.1 | even | 1 | trivial | ||
768.2.n.b.673.7 | 32 | 32.29 | even | 8 | inner | ||
1152.2.v.c.433.6 | 32 | 24.5 | odd | 2 | |||
1152.2.v.c.721.6 | 32 | 96.77 | odd | 8 |