Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(643,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.643");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.g (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 326x^{12} + 27081x^{8} + 96196x^{4} + 65536 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{23}]\) |
Coefficient ring index: | \( 2^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 643.9 | ||
Root | \(2.55383 + 2.55383i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 966.643 |
Dual form | 966.2.g.e.643.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −4.19800 | −1.87740 | −0.938702 | − | 0.344729i | \(-0.887971\pi\) | ||||
−0.938702 | + | 0.344729i | \(0.887971\pi\) | |||||||
\(6\) | 1.00000i | 0.408248i | ||||||||
\(7\) | 2.55383 | − | 0.691340i | 0.965257 | − | 0.261302i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −4.19800 | −1.32753 | ||||||||
\(11\) | − | 5.99105i | − | 1.80637i | −0.429252 | − | 0.903185i | \(-0.641223\pi\) | ||
0.429252 | − | 0.903185i | \(-0.358777\pi\) | |||||||
\(12\) | 1.00000i | 0.288675i | ||||||||
\(13\) | − | 0.756485i | − | 0.209811i | −0.994482 | − | 0.104906i | \(-0.966546\pi\) | ||
0.994482 | − | 0.104906i | \(-0.0334540\pi\) | |||||||
\(14\) | 2.55383 | − | 0.691340i | 0.682540 | − | 0.184768i | ||||
\(15\) | − | 4.19800i | − | 1.08392i | ||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 5.10766 | 1.23879 | 0.619395 | − | 0.785080i | \(-0.287378\pi\) | ||||
0.619395 | + | 0.785080i | \(0.287378\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −1.02228 | −0.234527 | −0.117263 | − | 0.993101i | \(-0.537412\pi\) | ||||
−0.117263 | + | 0.993101i | \(0.537412\pi\) | |||||||
\(20\) | −4.19800 | −0.938702 | ||||||||
\(21\) | 0.691340 | + | 2.55383i | 0.150863 | + | 0.557291i | ||||
\(22\) | − | 5.99105i | − | 1.27730i | ||||||
\(23\) | 3.53113 | − | 3.24517i | 0.736291 | − | 0.676665i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 12.6232 | 2.52465 | ||||||||
\(26\) | − | 0.756485i | − | 0.148359i | ||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 2.55383 | − | 0.691340i | 0.482629 | − | 0.130651i | ||||
\(29\) | 0.951991 | 0.176780 | 0.0883901 | − | 0.996086i | \(-0.471828\pi\) | ||||
0.0883901 | + | 0.996086i | \(0.471828\pi\) | |||||||
\(30\) | − | 4.19800i | − | 0.766447i | ||||||
\(31\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 5.99105 | 1.04291 | ||||||||
\(34\) | 5.10766 | 0.875957 | ||||||||
\(35\) | −10.7210 | + | 2.90225i | −1.81218 | + | 0.490569i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | 9.30566i | 1.52984i | 0.644124 | + | 0.764921i | \(0.277222\pi\) | ||||
−0.644124 | + | 0.764921i | \(0.722778\pi\) | |||||||
\(38\) | −1.02228 | −0.165835 | ||||||||
\(39\) | 0.756485 | 0.121135 | ||||||||
\(40\) | −4.19800 | −0.663763 | ||||||||
\(41\) | − | 4.75648i | − | 0.742838i | −0.928465 | − | 0.371419i | \(-0.878871\pi\) | ||
0.928465 | − | 0.371419i | \(-0.121129\pi\) | |||||||
\(42\) | 0.691340 | + | 2.55383i | 0.106676 | + | 0.394065i | ||||
\(43\) | 7.92299i | 1.20824i | 0.796892 | + | 0.604122i | \(0.206476\pi\) | ||||
−0.796892 | + | 0.604122i | \(0.793524\pi\) | |||||||
\(44\) | − | 5.99105i | − | 0.903185i | ||||||
\(45\) | 4.19800 | 0.625801 | ||||||||
\(46\) | 3.53113 | − | 3.24517i | 0.520637 | − | 0.478474i | ||||
\(47\) | − | 9.62324i | − | 1.40369i | −0.712328 | − | 0.701847i | \(-0.752359\pi\) | ||
0.712328 | − | 0.701847i | \(-0.247641\pi\) | |||||||
\(48\) | 1.00000i | 0.144338i | ||||||||
\(49\) | 6.04410 | − | 3.53113i | 0.863443 | − | 0.504447i | ||||
\(50\) | 12.6232 | 1.78520 | ||||||||
\(51\) | 5.10766i | 0.715216i | ||||||||
\(52\) | − | 0.756485i | − | 0.104906i | ||||||
\(53\) | − | 9.19304i | − | 1.26276i | −0.775473 | − | 0.631381i | \(-0.782488\pi\) | ||
0.775473 | − | 0.631381i | \(-0.217512\pi\) | |||||||
\(54\) | − | 1.00000i | − | 0.136083i | ||||||
\(55\) | 25.1505i | 3.39129i | ||||||||
\(56\) | 2.55383 | − | 0.691340i | 0.341270 | − | 0.0923842i | ||||
\(57\) | − | 1.02228i | − | 0.135404i | ||||||
\(58\) | 0.951991 | 0.125003 | ||||||||
\(59\) | 0.291524i | 0.0379532i | 0.999820 | + | 0.0189766i | \(0.00604080\pi\) | ||||
−0.999820 | + | 0.0189766i | \(0.993959\pi\) | |||||||
\(60\) | − | 4.19800i | − | 0.541960i | ||||||
\(61\) | −4.08538 | −0.523080 | −0.261540 | − | 0.965193i | \(-0.584230\pi\) | ||||
−0.261540 | + | 0.965193i | \(0.584230\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.55383 | + | 0.691340i | −0.321752 | + | 0.0871006i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.17573i | 0.393900i | ||||||||
\(66\) | 5.99105 | 0.737447 | ||||||||
\(67\) | − | 13.1433i | − | 1.60571i | −0.596177 | − | 0.802853i | \(-0.703314\pi\) | ||
0.596177 | − | 0.802853i | \(-0.296686\pi\) | |||||||
\(68\) | 5.10766 | 0.619395 | ||||||||
\(69\) | 3.24517 | + | 3.53113i | 0.390673 | + | 0.425098i | ||||
\(70\) | −10.7210 | + | 2.90225i | −1.28140 | + | 0.346885i | ||||
\(71\) | −3.70848 | −0.440115 | −0.220058 | − | 0.975487i | \(-0.570625\pi\) | ||||
−0.220058 | + | 0.975487i | \(0.570625\pi\) | |||||||
\(72\) | −1.00000 | −0.117851 | ||||||||
\(73\) | − | 12.8668i | − | 1.50594i | −0.658055 | − | 0.752970i | \(-0.728621\pi\) | ||
0.658055 | − | 0.752970i | \(-0.271379\pi\) | |||||||
\(74\) | 9.30566i | 1.08176i | ||||||||
\(75\) | 12.6232i | 1.45761i | ||||||||
\(76\) | −1.02228 | −0.117263 | ||||||||
\(77\) | −4.14185 | − | 15.3001i | −0.472008 | − | 1.74361i | ||||
\(78\) | 0.756485 | 0.0856550 | ||||||||
\(79\) | 3.20199i | 0.360252i | 0.983644 | + | 0.180126i | \(0.0576506\pi\) | ||||
−0.983644 | + | 0.180126i | \(0.942349\pi\) | |||||||
\(80\) | −4.19800 | −0.469351 | ||||||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 4.75648i | − | 0.525266i | ||||||
\(83\) | −12.4814 | −1.37001 | −0.685005 | − | 0.728538i | \(-0.740200\pi\) | ||||
−0.685005 | + | 0.728538i | \(0.740200\pi\) | |||||||
\(84\) | 0.691340 | + | 2.55383i | 0.0754314 | + | 0.278646i | ||||
\(85\) | −21.4420 | −2.32571 | ||||||||
\(86\) | 7.92299i | 0.854357i | ||||||||
\(87\) | 0.951991i | 0.102064i | ||||||||
\(88\) | − | 5.99105i | − | 0.638648i | ||||||
\(89\) | −1.24379 | −0.131842 | −0.0659209 | − | 0.997825i | \(-0.520998\pi\) | ||||
−0.0659209 | + | 0.997825i | \(0.520998\pi\) | |||||||
\(90\) | 4.19800 | 0.442508 | ||||||||
\(91\) | −0.522988 | − | 1.93193i | −0.0548240 | − | 0.202522i | ||||
\(92\) | 3.53113 | − | 3.24517i | 0.368146 | − | 0.338332i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | − | 9.62324i | − | 0.992561i | ||||||
\(95\) | 4.29152 | 0.440301 | ||||||||
\(96\) | 1.00000i | 0.102062i | ||||||||
\(97\) | 14.4370 | 1.46586 | 0.732929 | − | 0.680305i | \(-0.238153\pi\) | ||||
0.732929 | + | 0.680305i | \(0.238153\pi\) | |||||||
\(98\) | 6.04410 | − | 3.53113i | 0.610546 | − | 0.356698i | ||||
\(99\) | 5.99105i | 0.602123i | ||||||||
\(100\) | 12.6232 | 1.26232 | ||||||||
\(101\) | 18.9549i | 1.88609i | 0.332668 | + | 0.943044i | \(0.392051\pi\) | ||||
−0.332668 | + | 0.943044i | \(0.607949\pi\) | |||||||
\(102\) | 5.10766i | 0.505734i | ||||||||
\(103\) | 6.46407 | 0.636924 | 0.318462 | − | 0.947936i | \(-0.396834\pi\) | ||||
0.318462 | + | 0.947936i | \(0.396834\pi\) | |||||||
\(104\) | − | 0.756485i | − | 0.0741794i | ||||||
\(105\) | −2.90225 | − | 10.7210i | −0.283230 | − | 1.04626i | ||||
\(106\) | − | 9.19304i | − | 0.892907i | ||||||
\(107\) | − | 0.360402i | − | 0.0348414i | −0.999848 | − | 0.0174207i | \(-0.994455\pi\) | ||
0.999848 | − | 0.0174207i | \(-0.00554546\pi\) | |||||||
\(108\) | − | 1.00000i | − | 0.0962250i | ||||||
\(109\) | − | 0.909657i | − | 0.0871293i | −0.999051 | − | 0.0435647i | \(-0.986129\pi\) | ||
0.999051 | − | 0.0435647i | \(-0.0138715\pi\) | |||||||
\(110\) | 25.1505i | 2.39800i | ||||||||
\(111\) | −9.30566 | −0.883255 | ||||||||
\(112\) | 2.55383 | − | 0.691340i | 0.241314 | − | 0.0653255i | ||||
\(113\) | 8.50863i | 0.800424i | 0.916422 | + | 0.400212i | \(0.131064\pi\) | ||||
−0.916422 | + | 0.400212i | \(0.868936\pi\) | |||||||
\(114\) | − | 1.02228i | − | 0.0957450i | ||||||
\(115\) | −14.8237 | + | 13.6232i | −1.38232 | + | 1.27037i | ||||
\(116\) | 0.951991 | 0.0883901 | ||||||||
\(117\) | 0.756485i | 0.0699371i | ||||||||
\(118\) | 0.291524i | 0.0268370i | ||||||||
\(119\) | 13.0441 | − | 3.53113i | 1.19575 | − | 0.323698i | ||||
\(120\) | − | 4.19800i | − | 0.383224i | ||||||
\(121\) | −24.8927 | −2.26297 | ||||||||
\(122\) | −4.08538 | −0.369873 | ||||||||
\(123\) | 4.75648 | 0.428878 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −32.0024 | −2.86238 | ||||||||
\(126\) | −2.55383 | + | 0.691340i | −0.227513 | + | 0.0615894i | ||||
\(127\) | −10.3058 | −0.914489 | −0.457245 | − | 0.889341i | \(-0.651164\pi\) | ||||
−0.457245 | + | 0.889341i | \(0.651164\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −7.92299 | −0.697580 | ||||||||
\(130\) | 3.17573i | 0.278530i | ||||||||
\(131\) | − | 1.90398i | − | 0.166352i | −0.996535 | − | 0.0831758i | \(-0.973494\pi\) | ||
0.996535 | − | 0.0831758i | \(-0.0265063\pi\) | |||||||
\(132\) | 5.99105 | 0.521454 | ||||||||
\(133\) | −2.61072 | + | 0.706741i | −0.226378 | + | 0.0612822i | ||||
\(134\) | − | 13.1433i | − | 1.13541i | ||||||
\(135\) | 4.19800i | 0.361307i | ||||||||
\(136\) | 5.10766 | 0.437978 | ||||||||
\(137\) | 14.8601i | 1.26958i | 0.772684 | + | 0.634791i | \(0.218914\pi\) | ||||
−0.772684 | + | 0.634791i | \(0.781086\pi\) | |||||||
\(138\) | 3.24517 | + | 3.53113i | 0.276247 | + | 0.300590i | ||||
\(139\) | − | 4.46496i | − | 0.378713i | −0.981908 | − | 0.189357i | \(-0.939360\pi\) | ||
0.981908 | − | 0.189357i | \(-0.0606402\pi\) | |||||||
\(140\) | −10.7210 | + | 2.90225i | −0.906089 | + | 0.245285i | ||||
\(141\) | 9.62324 | 0.810423 | ||||||||
\(142\) | −3.70848 | −0.311208 | ||||||||
\(143\) | −4.53214 | −0.378997 | ||||||||
\(144\) | −1.00000 | −0.0833333 | ||||||||
\(145\) | −3.99646 | −0.331888 | ||||||||
\(146\) | − | 12.8668i | − | 1.06486i | ||||||
\(147\) | 3.53113 | + | 6.04410i | 0.291243 | + | 0.498509i | ||||
\(148\) | 9.30566i | 0.764921i | ||||||||
\(149\) | 15.7697i | 1.29191i | 0.763377 | + | 0.645954i | \(0.223540\pi\) | ||||
−0.763377 | + | 0.645954i | \(0.776460\pi\) | |||||||
\(150\) | 12.6232i | 1.03068i | ||||||||
\(151\) | −13.9148 | −1.13237 | −0.566184 | − | 0.824279i | \(-0.691581\pi\) | ||||
−0.566184 | + | 0.824279i | \(0.691581\pi\) | |||||||
\(152\) | −1.02228 | −0.0829176 | ||||||||
\(153\) | −5.10766 | −0.412930 | ||||||||
\(154\) | −4.14185 | − | 15.3001i | −0.333760 | − | 1.23292i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0.756485 | 0.0605673 | ||||||||
\(157\) | 12.7066 | 1.01410 | 0.507050 | − | 0.861917i | \(-0.330736\pi\) | ||||
0.507050 | + | 0.861917i | \(0.330736\pi\) | |||||||
\(158\) | 3.20199i | 0.254737i | ||||||||
\(159\) | 9.19304 | 0.729056 | ||||||||
\(160\) | −4.19800 | −0.331881 | ||||||||
\(161\) | 6.77439 | − | 10.7288i | 0.533897 | − | 0.845550i | ||||
\(162\) | 1.00000 | 0.0785674 | ||||||||
\(163\) | 19.6375 | 1.53813 | 0.769063 | − | 0.639173i | \(-0.220723\pi\) | ||||
0.769063 | + | 0.639173i | \(0.220723\pi\) | |||||||
\(164\) | − | 4.75648i | − | 0.371419i | ||||||
\(165\) | −25.1505 | −1.95796 | ||||||||
\(166\) | −12.4814 | −0.968744 | ||||||||
\(167\) | 1.25776i | 0.0973287i | 0.998815 | + | 0.0486643i | \(0.0154965\pi\) | ||||
−0.998815 | + | 0.0486643i | \(0.984504\pi\) | |||||||
\(168\) | 0.691340 | + | 2.55383i | 0.0533380 | + | 0.197032i | ||||
\(169\) | 12.4277 | 0.955979 | ||||||||
\(170\) | −21.4420 | −1.64452 | ||||||||
\(171\) | 1.02228 | 0.0781755 | ||||||||
\(172\) | 7.92299i | 0.604122i | ||||||||
\(173\) | 6.08820i | 0.462877i | 0.972850 | + | 0.231439i | \(0.0743432\pi\) | ||||
−0.972850 | + | 0.231439i | \(0.925657\pi\) | |||||||
\(174\) | 0.951991i | 0.0721702i | ||||||||
\(175\) | 32.2376 | − | 8.72695i | 2.43693 | − | 0.659695i | ||||
\(176\) | − | 5.99105i | − | 0.451592i | ||||||
\(177\) | −0.291524 | −0.0219123 | ||||||||
\(178\) | −1.24379 | −0.0932262 | ||||||||
\(179\) | 7.81874 | 0.584400 | 0.292200 | − | 0.956357i | \(-0.405613\pi\) | ||||
0.292200 | + | 0.956357i | \(0.405613\pi\) | |||||||
\(180\) | 4.19800 | 0.312901 | ||||||||
\(181\) | −13.4800 | −1.00196 | −0.500979 | − | 0.865459i | \(-0.667027\pi\) | ||||
−0.500979 | + | 0.865459i | \(0.667027\pi\) | |||||||
\(182\) | −0.522988 | − | 1.93193i | −0.0387665 | − | 0.143204i | ||||
\(183\) | − | 4.08538i | − | 0.302000i | ||||||
\(184\) | 3.53113 | − | 3.24517i | 0.260318 | − | 0.239237i | ||||
\(185\) | − | 39.0652i | − | 2.87213i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 30.6003i | − | 2.23771i | ||||||
\(188\) | − | 9.62324i | − | 0.701847i | ||||||
\(189\) | −0.691340 | − | 2.55383i | −0.0502876 | − | 0.185764i | ||||
\(190\) | 4.29152 | 0.311340 | ||||||||
\(191\) | 8.25712i | 0.597464i | 0.954337 | + | 0.298732i | \(0.0965637\pi\) | ||||
−0.954337 | + | 0.298732i | \(0.903436\pi\) | |||||||
\(192\) | 1.00000i | 0.0721688i | ||||||||
\(193\) | −10.7565 | −0.774269 | −0.387134 | − | 0.922023i | \(-0.626535\pi\) | ||||
−0.387134 | + | 0.922023i | \(0.626535\pi\) | |||||||
\(194\) | 14.4370 | 1.03652 | ||||||||
\(195\) | −3.17573 | −0.227419 | ||||||||
\(196\) | 6.04410 | − | 3.53113i | 0.431721 | − | 0.252223i | ||||
\(197\) | 6.79280 | 0.483967 | 0.241984 | − | 0.970280i | \(-0.422202\pi\) | ||||
0.241984 | + | 0.970280i | \(0.422202\pi\) | |||||||
\(198\) | 5.99105i | 0.425765i | ||||||||
\(199\) | 7.28481 | 0.516406 | 0.258203 | − | 0.966091i | \(-0.416870\pi\) | ||||
0.258203 | + | 0.966091i | \(0.416870\pi\) | |||||||
\(200\) | 12.6232 | 0.892598 | ||||||||
\(201\) | 13.1433 | 0.927055 | ||||||||
\(202\) | 18.9549i | 1.33367i | ||||||||
\(203\) | 2.43122 | − | 0.658149i | 0.170638 | − | 0.0461930i | ||||
\(204\) | 5.10766i | 0.357608i | ||||||||
\(205\) | 19.9677i | 1.39461i | ||||||||
\(206\) | 6.46407 | 0.450373 | ||||||||
\(207\) | −3.53113 | + | 3.24517i | −0.245430 | + | 0.225555i | ||||
\(208\) | − | 0.756485i | − | 0.0524528i | ||||||
\(209\) | 6.12452i | 0.423642i | ||||||||
\(210\) | −2.90225 | − | 10.7210i | −0.200274 | − | 0.739819i | ||||
\(211\) | −5.84081 | −0.402098 | −0.201049 | − | 0.979581i | \(-0.564435\pi\) | ||||
−0.201049 | + | 0.979581i | \(0.564435\pi\) | |||||||
\(212\) | − | 9.19304i | − | 0.631381i | ||||||
\(213\) | − | 3.70848i | − | 0.254101i | ||||||
\(214\) | − | 0.360402i | − | 0.0246366i | ||||||
\(215\) | − | 33.2607i | − | 2.26836i | ||||||
\(216\) | − | 1.00000i | − | 0.0680414i | ||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | − | 0.909657i | − | 0.0616097i | ||||||
\(219\) | 12.8668 | 0.869455 | ||||||||
\(220\) | 25.1505i | 1.69564i | ||||||||
\(221\) | − | 3.86387i | − | 0.259912i | ||||||
\(222\) | −9.30566 | −0.624555 | ||||||||
\(223\) | − | 3.60899i | − | 0.241676i | −0.992672 | − | 0.120838i | \(-0.961442\pi\) | ||
0.992672 | − | 0.120838i | \(-0.0385581\pi\) | |||||||
\(224\) | 2.55383 | − | 0.691340i | 0.170635 | − | 0.0461921i | ||||
\(225\) | −12.6232 | −0.841549 | ||||||||
\(226\) | 8.50863i | 0.565986i | ||||||||
\(227\) | 10.1264 | 0.672113 | 0.336056 | − | 0.941842i | \(-0.390907\pi\) | ||||
0.336056 | + | 0.941842i | \(0.390907\pi\) | |||||||
\(228\) | − | 1.02228i | − | 0.0677020i | ||||||
\(229\) | 11.6607 | 0.770558 | 0.385279 | − | 0.922800i | \(-0.374105\pi\) | ||||
0.385279 | + | 0.922800i | \(0.374105\pi\) | |||||||
\(230\) | −14.8237 | + | 13.6232i | −0.977445 | + | 0.898290i | ||||
\(231\) | 15.3001 | − | 4.14185i | 1.00667 | − | 0.272514i | ||||
\(232\) | 0.951991 | 0.0625013 | ||||||||
\(233\) | −11.1505 | −0.730491 | −0.365245 | − | 0.930911i | \(-0.619015\pi\) | ||||
−0.365245 | + | 0.930911i | \(0.619015\pi\) | |||||||
\(234\) | 0.756485i | 0.0494530i | ||||||||
\(235\) | 40.3984i | 2.63530i | ||||||||
\(236\) | 0.291524i | 0.0189766i | ||||||||
\(237\) | −3.20199 | −0.207992 | ||||||||
\(238\) | 13.0441 | − | 3.53113i | 0.845523 | − | 0.228889i | ||||
\(239\) | −10.6712 | −0.690266 | −0.345133 | − | 0.938554i | \(-0.612166\pi\) | ||||
−0.345133 | + | 0.938554i | \(0.612166\pi\) | |||||||
\(240\) | − | 4.19800i | − | 0.270980i | ||||||
\(241\) | −14.4370 | −0.929970 | −0.464985 | − | 0.885318i | \(-0.653940\pi\) | ||||
−0.464985 | + | 0.885318i | \(0.653940\pi\) | |||||||
\(242\) | −24.8927 | −1.60016 | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −4.08538 | −0.261540 | ||||||||
\(245\) | −25.3731 | + | 14.8237i | −1.62103 | + | 0.947051i | ||||
\(246\) | 4.75648 | 0.303262 | ||||||||
\(247\) | 0.773337i | 0.0492063i | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | − | 12.4814i | − | 0.790976i | ||||||
\(250\) | −32.0024 | −2.02401 | ||||||||
\(251\) | 9.30566 | 0.587368 | 0.293684 | − | 0.955903i | \(-0.405119\pi\) | ||||
0.293684 | + | 0.955903i | \(0.405119\pi\) | |||||||
\(252\) | −2.55383 | + | 0.691340i | −0.160876 | + | 0.0435503i | ||||
\(253\) | −19.4420 | − | 21.1552i | −1.22231 | − | 1.33001i | ||||
\(254\) | −10.3058 | −0.646642 | ||||||||
\(255\) | − | 21.4420i | − | 1.34275i | ||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 12.1842i | 0.760030i | 0.924980 | + | 0.380015i | \(0.124081\pi\) | ||||
−0.924980 | + | 0.380015i | \(0.875919\pi\) | |||||||
\(258\) | −7.92299 | −0.493264 | ||||||||
\(259\) | 6.43338 | + | 23.7651i | 0.399751 | + | 1.47669i | ||||
\(260\) | 3.17573i | 0.196950i | ||||||||
\(261\) | −0.951991 | −0.0589268 | ||||||||
\(262\) | − | 1.90398i | − | 0.117628i | ||||||
\(263\) | 16.3952i | 1.01097i | 0.862835 | + | 0.505486i | \(0.168687\pi\) | ||||
−0.862835 | + | 0.505486i | \(0.831313\pi\) | |||||||
\(264\) | 5.99105 | 0.368724 | ||||||||
\(265\) | 38.5924i | 2.37071i | ||||||||
\(266\) | −2.61072 | + | 0.706741i | −0.160074 | + | 0.0433331i | ||||
\(267\) | − | 1.24379i | − | 0.0761189i | ||||||
\(268\) | − | 13.1433i | − | 0.802853i | ||||||
\(269\) | 19.3175i | 1.17781i | 0.808204 | + | 0.588903i | \(0.200440\pi\) | ||||
−0.808204 | + | 0.588903i | \(0.799560\pi\) | |||||||
\(270\) | 4.19800i | 0.255482i | ||||||||
\(271\) | 9.51297i | 0.577872i | 0.957348 | + | 0.288936i | \(0.0933014\pi\) | ||||
−0.957348 | + | 0.288936i | \(0.906699\pi\) | |||||||
\(272\) | 5.10766 | 0.309697 | ||||||||
\(273\) | 1.93193 | − | 0.522988i | 0.116926 | − | 0.0316527i | ||||
\(274\) | 14.8601i | 0.897730i | ||||||||
\(275\) | − | 75.6265i | − | 4.56045i | ||||||
\(276\) | 3.24517 | + | 3.53113i | 0.195336 | + | 0.212549i | ||||
\(277\) | 5.60899 | 0.337011 | 0.168506 | − | 0.985701i | \(-0.446106\pi\) | ||||
0.168506 | + | 0.985701i | \(0.446106\pi\) | |||||||
\(278\) | − | 4.46496i | − | 0.267791i | ||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −10.7210 | + | 2.90225i | −0.640702 | + | 0.173442i | ||||
\(281\) | 19.4973i | 1.16311i | 0.813507 | + | 0.581555i | \(0.197556\pi\) | ||||
−0.813507 | + | 0.581555i | \(0.802444\pi\) | |||||||
\(282\) | 9.62324 | 0.573055 | ||||||||
\(283\) | 20.0766 | 1.19343 | 0.596716 | − | 0.802452i | \(-0.296472\pi\) | ||||
0.596716 | + | 0.802452i | \(0.296472\pi\) | |||||||
\(284\) | −3.70848 | −0.220058 | ||||||||
\(285\) | 4.29152i | 0.254208i | ||||||||
\(286\) | −4.53214 | −0.267991 | ||||||||
\(287\) | −3.28835 | − | 12.1473i | −0.194105 | − | 0.717030i | ||||
\(288\) | −1.00000 | −0.0589256 | ||||||||
\(289\) | 9.08820 | 0.534600 | ||||||||
\(290\) | −3.99646 | −0.234680 | ||||||||
\(291\) | 14.4370i | 0.846313i | ||||||||
\(292\) | − | 12.8668i | − | 0.752970i | ||||||
\(293\) | −23.1198 | −1.35067 | −0.675336 | − | 0.737510i | \(-0.736001\pi\) | ||||
−0.675336 | + | 0.737510i | \(0.736001\pi\) | |||||||
\(294\) | 3.53113 | + | 6.04410i | 0.205940 | + | 0.352499i | ||||
\(295\) | − | 1.22382i | − | 0.0712535i | ||||||
\(296\) | 9.30566i | 0.540881i | ||||||||
\(297\) | −5.99105 | −0.347636 | ||||||||
\(298\) | 15.7697i | 0.913516i | ||||||||
\(299\) | −2.45492 | − | 2.67125i | −0.141972 | − | 0.154482i | ||||
\(300\) | 12.6232i | 0.728803i | ||||||||
\(301\) | 5.47747 | + | 20.2340i | 0.315716 | + | 1.16627i | ||||
\(302\) | −13.9148 | −0.800705 | ||||||||
\(303\) | −18.9549 | −1.08893 | ||||||||
\(304\) | −1.02228 | −0.0586316 | ||||||||
\(305\) | 17.1505 | 0.982032 | ||||||||
\(306\) | −5.10766 | −0.291986 | ||||||||
\(307\) | 17.6596i | 1.00788i | 0.863737 | + | 0.503942i | \(0.168117\pi\) | ||||
−0.863737 | + | 0.503942i | \(0.831883\pi\) | |||||||
\(308\) | −4.14185 | − | 15.3001i | −0.236004 | − | 0.871806i | ||||
\(309\) | 6.46407i | 0.367728i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 10.6712i | − | 0.605111i | −0.953132 | − | 0.302555i | \(-0.902160\pi\) | ||
0.953132 | − | 0.302555i | \(-0.0978397\pi\) | |||||||
\(312\) | 0.756485 | 0.0428275 | ||||||||
\(313\) | −12.2599 | −0.692969 | −0.346485 | − | 0.938056i | \(-0.612625\pi\) | ||||
−0.346485 | + | 0.938056i | \(0.612625\pi\) | |||||||
\(314\) | 12.7066 | 0.717077 | ||||||||
\(315\) | 10.7210 | − | 2.90225i | 0.604059 | − | 0.163523i | ||||
\(316\) | 3.20199i | 0.180126i | ||||||||
\(317\) | 15.5869 | 0.875449 | 0.437724 | − | 0.899109i | \(-0.355785\pi\) | ||||
0.437724 | + | 0.899109i | \(0.355785\pi\) | |||||||
\(318\) | 9.19304 | 0.515520 | ||||||||
\(319\) | − | 5.70343i | − | 0.319331i | ||||||
\(320\) | −4.19800 | −0.234676 | ||||||||
\(321\) | 0.360402 | 0.0201157 | ||||||||
\(322\) | 6.77439 | − | 10.7288i | 0.377522 | − | 0.597894i | ||||
\(323\) | −5.22145 | −0.290529 | ||||||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | − | 9.54929i | − | 0.529699i | ||||||
\(326\) | 19.6375 | 1.08762 | ||||||||
\(327\) | 0.909657 | 0.0503041 | ||||||||
\(328\) | − | 4.75648i | − | 0.262633i | ||||||
\(329\) | −6.65293 | − | 24.5761i | −0.366788 | − | 1.35492i | ||||
\(330\) | −25.1505 | −1.38449 | ||||||||
\(331\) | 34.0172 | 1.86975 | 0.934877 | − | 0.354971i | \(-0.115509\pi\) | ||||
0.934877 | + | 0.354971i | \(0.115509\pi\) | |||||||
\(332\) | −12.4814 | −0.685005 | ||||||||
\(333\) | − | 9.30566i | − | 0.509947i | ||||||
\(334\) | 1.25776i | 0.0688218i | ||||||||
\(335\) | 55.1755i | 3.01456i | ||||||||
\(336\) | 0.691340 | + | 2.55383i | 0.0377157 | + | 0.139323i | ||||
\(337\) | 11.0361i | 0.601172i | 0.953755 | + | 0.300586i | \(0.0971823\pi\) | ||||
−0.953755 | + | 0.300586i | \(0.902818\pi\) | |||||||
\(338\) | 12.4277 | 0.675979 | ||||||||
\(339\) | −8.50863 | −0.462125 | ||||||||
\(340\) | −21.4420 | −1.16285 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 1.02228 | 0.0552784 | ||||||||
\(343\) | 12.9944 | − | 13.1964i | 0.701631 | − | 0.712540i | ||||
\(344\) | 7.92299i | 0.427179i | ||||||||
\(345\) | −13.6232 | − | 14.8237i | −0.733450 | − | 0.798081i | ||||
\(346\) | 6.08820i | 0.327304i | ||||||||
\(347\) | −30.6742 | −1.64668 | −0.823339 | − | 0.567550i | \(-0.807891\pi\) | ||||
−0.823339 | + | 0.567550i | \(0.807891\pi\) | |||||||
\(348\) | 0.951991i | 0.0510321i | ||||||||
\(349\) | 34.6997i | 1.85743i | 0.370789 | + | 0.928717i | \(0.379087\pi\) | ||||
−0.370789 | + | 0.928717i | \(0.620913\pi\) | |||||||
\(350\) | 32.2376 | − | 8.72695i | 1.72317 | − | 0.466475i | ||||
\(351\) | −0.756485 | −0.0403782 | ||||||||
\(352\) | − | 5.99105i | − | 0.319324i | ||||||
\(353\) | 6.85250i | 0.364722i | 0.983232 | + | 0.182361i | \(0.0583739\pi\) | ||||
−0.983232 | + | 0.182361i | \(0.941626\pi\) | |||||||
\(354\) | −0.291524 | −0.0154943 | ||||||||
\(355\) | 15.5682 | 0.826274 | ||||||||
\(356\) | −1.24379 | −0.0659209 | ||||||||
\(357\) | 3.53113 | + | 13.0441i | 0.186887 | + | 0.690367i | ||||
\(358\) | 7.81874 | 0.413233 | ||||||||
\(359\) | − | 9.38829i | − | 0.495495i | −0.968825 | − | 0.247748i | \(-0.920310\pi\) | ||
0.968825 | − | 0.247748i | \(-0.0796904\pi\) | |||||||
\(360\) | 4.19800 | 0.221254 | ||||||||
\(361\) | −17.9549 | −0.944997 | ||||||||
\(362\) | −13.4800 | −0.708491 | ||||||||
\(363\) | − | 24.8927i | − | 1.30653i | ||||||
\(364\) | −0.522988 | − | 1.93193i | −0.0274120 | − | 0.101261i | ||||
\(365\) | 54.0147i | 2.82726i | ||||||||
\(366\) | − | 4.08538i | − | 0.213546i | ||||||
\(367\) | 32.4254 | 1.69259 | 0.846297 | − | 0.532711i | \(-0.178827\pi\) | ||||
0.846297 | + | 0.532711i | \(0.178827\pi\) | |||||||
\(368\) | 3.53113 | − | 3.24517i | 0.184073 | − | 0.169166i | ||||
\(369\) | 4.75648i | 0.247613i | ||||||||
\(370\) | − | 39.0652i | − | 2.03090i | ||||||
\(371\) | −6.35552 | − | 23.4775i | −0.329962 | − | 1.21889i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − | 7.17591i | − | 0.371555i | −0.982592 | − | 0.185777i | \(-0.940520\pi\) | ||
0.982592 | − | 0.185777i | \(-0.0594803\pi\) | |||||||
\(374\) | − | 30.6003i | − | 1.58230i | ||||||
\(375\) | − | 32.0024i | − | 1.65260i | ||||||
\(376\) | − | 9.62324i | − | 0.496281i | ||||||
\(377\) | − | 0.720167i | − | 0.0370905i | ||||||
\(378\) | −0.691340 | − | 2.55383i | −0.0355587 | − | 0.131355i | ||||
\(379\) | − | 24.3373i | − | 1.25012i | −0.780576 | − | 0.625061i | \(-0.785074\pi\) | ||
0.780576 | − | 0.625061i | \(-0.214926\pi\) | |||||||
\(380\) | 4.29152 | 0.220151 | ||||||||
\(381\) | − | 10.3058i | − | 0.527981i | ||||||
\(382\) | 8.25712i | 0.422471i | ||||||||
\(383\) | −23.3687 | −1.19409 | −0.597043 | − | 0.802209i | \(-0.703658\pi\) | ||||
−0.597043 | + | 0.802209i | \(0.703658\pi\) | |||||||
\(384\) | 1.00000i | 0.0510310i | ||||||||
\(385\) | 17.3875 | + | 64.2300i | 0.886150 | + | 3.27346i | ||||
\(386\) | −10.7565 | −0.547491 | ||||||||
\(387\) | − | 7.92299i | − | 0.402748i | ||||||
\(388\) | 14.4370 | 0.732929 | ||||||||
\(389\) | − | 26.2103i | − | 1.32891i | −0.747326 | − | 0.664457i | \(-0.768663\pi\) | ||
0.747326 | − | 0.664457i | \(-0.231337\pi\) | |||||||
\(390\) | −3.17573 | −0.160809 | ||||||||
\(391\) | 18.0358 | − | 16.5752i | 0.912110 | − | 0.838245i | ||||
\(392\) | 6.04410 | − | 3.53113i | 0.305273 | − | 0.178349i | ||||
\(393\) | 1.90398 | 0.0960432 | ||||||||
\(394\) | 6.79280 | 0.342216 | ||||||||
\(395\) | − | 13.4420i | − | 0.676339i | ||||||
\(396\) | 5.99105i | 0.301062i | ||||||||
\(397\) | − | 6.77073i | − | 0.339813i | −0.985460 | − | 0.169907i | \(-0.945653\pi\) | ||
0.985460 | − | 0.169907i | \(-0.0543466\pi\) | |||||||
\(398\) | 7.28481 | 0.365154 | ||||||||
\(399\) | −0.706741 | − | 2.61072i | −0.0353813 | − | 0.130700i | ||||
\(400\) | 12.6232 | 0.631162 | ||||||||
\(401\) | − | 20.0330i | − | 1.00040i | −0.865910 | − | 0.500199i | \(-0.833260\pi\) | ||
0.865910 | − | 0.500199i | \(-0.166740\pi\) | |||||||
\(402\) | 13.1433 | 0.655527 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 18.9549i | 0.943044i | ||||||||
\(405\) | −4.19800 | −0.208600 | ||||||||
\(406\) | 2.43122 | − | 0.658149i | 0.120660 | − | 0.0326634i | ||||
\(407\) | 55.7507 | 2.76346 | ||||||||
\(408\) | 5.10766i | 0.252867i | ||||||||
\(409\) | − | 35.4592i | − | 1.75334i | −0.481089 | − | 0.876672i | \(-0.659758\pi\) | ||
0.481089 | − | 0.876672i | \(-0.340242\pi\) | |||||||
\(410\) | 19.9677i | 0.986136i | ||||||||
\(411\) | −14.8601 | −0.732994 | ||||||||
\(412\) | 6.46407 | 0.318462 | ||||||||
\(413\) | 0.201542 | + | 0.744503i | 0.00991725 | + | 0.0366346i | ||||
\(414\) | −3.53113 | + | 3.24517i | −0.173546 | + | 0.159491i | ||||
\(415\) | 52.3969 | 2.57206 | ||||||||
\(416\) | − | 0.756485i | − | 0.0370897i | ||||||
\(417\) | 4.46496 | 0.218650 | ||||||||
\(418\) | 6.12452i | 0.299560i | ||||||||
\(419\) | 15.1214 | 0.738731 | 0.369365 | − | 0.929284i | \(-0.379575\pi\) | ||||
0.369365 | + | 0.929284i | \(0.379575\pi\) | |||||||
\(420\) | −2.90225 | − | 10.7210i | −0.141615 | − | 0.523131i | ||||
\(421\) | − | 32.6016i | − | 1.58890i | −0.607327 | − | 0.794452i | \(-0.707758\pi\) | ||
0.607327 | − | 0.794452i | \(-0.292242\pi\) | |||||||
\(422\) | −5.84081 | −0.284326 | ||||||||
\(423\) | 9.62324i | 0.467898i | ||||||||
\(424\) | − | 9.19304i | − | 0.446454i | ||||||
\(425\) | 64.4752 | 3.12751 | ||||||||
\(426\) | − | 3.70848i | − | 0.179676i | ||||||
\(427\) | −10.4334 | + | 2.82439i | −0.504906 | + | 0.136682i | ||||
\(428\) | − | 0.360402i | − | 0.0174207i | ||||||
\(429\) | − | 4.53214i | − | 0.218814i | ||||||
\(430\) | − | 33.2607i | − | 1.60397i | ||||||
\(431\) | 26.5106i | 1.27697i | 0.769634 | + | 0.638486i | \(0.220439\pi\) | ||||
−0.769634 | + | 0.638486i | \(0.779561\pi\) | |||||||
\(432\) | − | 1.00000i | − | 0.0481125i | ||||||
\(433\) | −30.1831 | −1.45051 | −0.725253 | − | 0.688483i | \(-0.758277\pi\) | ||||
−0.725253 | + | 0.688483i | \(0.758277\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | − | 3.99646i | − | 0.191616i | ||||||
\(436\) | − | 0.909657i | − | 0.0435647i | ||||||
\(437\) | −3.60979 | + | 3.31746i | −0.172680 | + | 0.158696i | ||||
\(438\) | 12.8668 | 0.614797 | ||||||||
\(439\) | 27.8295i | 1.32823i | 0.747630 | + | 0.664115i | \(0.231192\pi\) | ||||
−0.747630 | + | 0.664115i | \(0.768808\pi\) | |||||||
\(440\) | 25.1505i | 1.19900i | ||||||||
\(441\) | −6.04410 | + | 3.53113i | −0.287814 | + | 0.168149i | ||||
\(442\) | − | 3.86387i | − | 0.183785i | ||||||
\(443\) | 15.1362 | 0.719143 | 0.359571 | − | 0.933118i | \(-0.382923\pi\) | ||||
0.359571 | + | 0.933118i | \(0.382923\pi\) | |||||||
\(444\) | −9.30566 | −0.441627 | ||||||||
\(445\) | 5.22145 | 0.247520 | ||||||||
\(446\) | − | 3.60899i | − | 0.170891i | ||||||
\(447\) | −15.7697 | −0.745883 | ||||||||
\(448\) | 2.55383 | − | 0.691340i | 0.120657 | − | 0.0326627i | ||||
\(449\) | 24.6634 | 1.16394 | 0.581969 | − | 0.813211i | \(-0.302282\pi\) | ||||
0.581969 | + | 0.813211i | \(0.302282\pi\) | |||||||
\(450\) | −12.6232 | −0.595065 | ||||||||
\(451\) | −28.4963 | −1.34184 | ||||||||
\(452\) | 8.50863i | 0.400212i | ||||||||
\(453\) | − | 13.9148i | − | 0.653772i | ||||||
\(454\) | 10.1264 | 0.475255 | ||||||||
\(455\) | 2.19551 | + | 8.11027i | 0.102927 | + | 0.380215i | ||||
\(456\) | − | 1.02228i | − | 0.0478725i | ||||||
\(457\) | 19.6573i | 0.919530i | 0.888041 | + | 0.459765i | \(0.152066\pi\) | ||||
−0.888041 | + | 0.459765i | \(0.847934\pi\) | |||||||
\(458\) | 11.6607 | 0.544867 | ||||||||
\(459\) | − | 5.10766i | − | 0.238405i | ||||||
\(460\) | −14.8237 | + | 13.6232i | −0.691158 | + | 0.635187i | ||||
\(461\) | − | 2.38754i | − | 0.111199i | −0.998453 | − | 0.0555995i | \(-0.982293\pi\) | ||
0.998453 | − | 0.0555995i | \(-0.0177070\pi\) | |||||||
\(462\) | 15.3001 | − | 4.14185i | 0.711826 | − | 0.192696i | ||||
\(463\) | −6.69678 | −0.311226 | −0.155613 | − | 0.987818i | \(-0.549735\pi\) | ||||
−0.155613 | + | 0.987818i | \(0.549735\pi\) | |||||||
\(464\) | 0.951991 | 0.0441951 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −11.1505 | −0.516535 | ||||||||
\(467\) | −25.9198 | −1.19943 | −0.599713 | − | 0.800215i | \(-0.704719\pi\) | ||||
−0.599713 | + | 0.800215i | \(0.704719\pi\) | |||||||
\(468\) | 0.756485i | 0.0349685i | ||||||||
\(469\) | −9.08646 | − | 33.5657i | −0.419574 | − | 1.54992i | ||||
\(470\) | 40.3984i | 1.86344i | ||||||||
\(471\) | 12.7066i | 0.585491i | ||||||||
\(472\) | 0.291524i | 0.0134185i | ||||||||
\(473\) | 47.4670 | 2.18254 | ||||||||
\(474\) | −3.20199 | −0.147072 | ||||||||
\(475\) | −12.9044 | −0.592097 | ||||||||
\(476\) | 13.0441 | − | 3.53113i | 0.597875 | − | 0.161849i | ||||
\(477\) | 9.19304i | 0.420921i | ||||||||
\(478\) | −10.6712 | −0.488091 | ||||||||
\(479\) | 22.6930 | 1.03687 | 0.518435 | − | 0.855117i | \(-0.326515\pi\) | ||||
0.518435 | + | 0.855117i | \(0.326515\pi\) | |||||||
\(480\) | − | 4.19800i | − | 0.191612i | ||||||
\(481\) | 7.03959 | 0.320978 | ||||||||
\(482\) | −14.4370 | −0.657588 | ||||||||
\(483\) | 10.7288 | + | 6.77439i | 0.488178 | + | 0.308245i | ||||
\(484\) | −24.8927 | −1.13149 | ||||||||
\(485\) | −60.6067 | −2.75201 | ||||||||
\(486\) | 1.00000i | 0.0453609i | ||||||||
\(487\) | 5.33171 | 0.241603 | 0.120801 | − | 0.992677i | \(-0.461454\pi\) | ||||
0.120801 | + | 0.992677i | \(0.461454\pi\) | |||||||
\(488\) | −4.08538 | −0.184937 | ||||||||
\(489\) | 19.6375i | 0.888038i | ||||||||
\(490\) | −25.3731 | + | 14.8237i | −1.14624 | + | 0.669666i | ||||
\(491\) | −3.21798 | −0.145225 | −0.0726126 | − | 0.997360i | \(-0.523134\pi\) | ||||
−0.0726126 | + | 0.997360i | \(0.523134\pi\) | |||||||
\(492\) | 4.75648 | 0.214439 | ||||||||
\(493\) | 4.86245 | 0.218994 | ||||||||
\(494\) | 0.773337i | 0.0347941i | ||||||||
\(495\) | − | 25.1505i | − | 1.13043i | ||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −9.47082 | + | 2.56382i | −0.424824 | + | 0.115003i | ||||
\(498\) | − | 12.4814i | − | 0.559305i | ||||||
\(499\) | −11.4170 | −0.511093 | −0.255546 | − | 0.966797i | \(-0.582255\pi\) | ||||
−0.255546 | + | 0.966797i | \(0.582255\pi\) | |||||||
\(500\) | −32.0024 | −1.43119 | ||||||||
\(501\) | −1.25776 | −0.0561927 | ||||||||
\(502\) | 9.30566 | 0.415332 | ||||||||
\(503\) | −0.177843 | −0.00792964 | −0.00396482 | − | 0.999992i | \(-0.501262\pi\) | ||||
−0.00396482 | + | 0.999992i | \(0.501262\pi\) | |||||||
\(504\) | −2.55383 | + | 0.691340i | −0.113757 | + | 0.0307947i | ||||
\(505\) | − | 79.5729i | − | 3.54095i | ||||||
\(506\) | −19.4420 | − | 21.1552i | −0.864301 | − | 0.940462i | ||||
\(507\) | 12.4277i | 0.551935i | ||||||||
\(508\) | −10.3058 | −0.457245 | ||||||||
\(509\) | 19.0623i | 0.844920i | 0.906382 | + | 0.422460i | \(0.138833\pi\) | ||||
−0.906382 | + | 0.422460i | \(0.861167\pi\) | |||||||
\(510\) | − | 21.4420i | − | 0.949467i | ||||||
\(511\) | −8.89530 | − | 32.8595i | −0.393505 | − | 1.45362i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 1.02228i | 0.0451346i | ||||||||
\(514\) | 12.1842i | 0.537423i | ||||||||
\(515\) | −27.1362 | −1.19576 | ||||||||
\(516\) | −7.92299 | −0.348790 | ||||||||
\(517\) | −57.6533 | −2.53559 | ||||||||
\(518\) | 6.43338 | + | 23.7651i | 0.282666 | + | 1.04418i | ||||
\(519\) | −6.08820 | −0.267242 | ||||||||
\(520\) | 3.17573i | 0.139265i | ||||||||
\(521\) | 40.3332 | 1.76703 | 0.883514 | − | 0.468405i | \(-0.155171\pi\) | ||||
0.883514 | + | 0.468405i | \(0.155171\pi\) | |||||||
\(522\) | −0.951991 | −0.0416675 | ||||||||
\(523\) | 32.4890 | 1.42064 | 0.710322 | − | 0.703877i | \(-0.248549\pi\) | ||||
0.710322 | + | 0.703877i | \(0.248549\pi\) | |||||||
\(524\) | − | 1.90398i | − | 0.0831758i | ||||||
\(525\) | 8.72695 | + | 32.2376i | 0.380875 | + | 1.40696i | ||||
\(526\) | 16.3952i | 0.714866i | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 5.99105 | 0.260727 | ||||||||
\(529\) | 1.93774 | − | 22.9182i | 0.0842497 | − | 0.996445i | ||||
\(530\) | 38.5924i | 1.67635i | ||||||||
\(531\) | − | 0.291524i | − | 0.0126511i | ||||||
\(532\) | −2.61072 | + | 0.706741i | −0.113189 | + | 0.0306411i | ||||
\(533\) | −3.59821 | −0.155856 | ||||||||
\(534\) | − | 1.24379i | − | 0.0538242i | ||||||
\(535\) | 1.51297i | 0.0654114i | ||||||||
\(536\) | − | 13.1433i | − | 0.567703i | ||||||
\(537\) | 7.81874i | 0.337404i | ||||||||
\(538\) | 19.3175i | 0.832835i | ||||||||
\(539\) | −21.1552 | − | 36.2105i | −0.911218 | − | 1.55970i | ||||
\(540\) | 4.19800i | 0.180653i | ||||||||
\(541\) | −25.4939 | −1.09607 | −0.548033 | − | 0.836457i | \(-0.684623\pi\) | ||||
−0.548033 | + | 0.836457i | \(0.684623\pi\) | |||||||
\(542\) | 9.51297i | 0.408617i | ||||||||
\(543\) | − | 13.4800i | − | 0.578481i | ||||||
\(544\) | 5.10766 | 0.218989 | ||||||||
\(545\) | 3.81874i | 0.163577i | ||||||||
\(546\) | 1.93193 | − | 0.522988i | 0.0826791 | − | 0.0223818i | ||||
\(547\) | 15.3538 | 0.656480 | 0.328240 | − | 0.944594i | \(-0.393544\pi\) | ||||
0.328240 | + | 0.944594i | \(0.393544\pi\) | |||||||
\(548\) | 14.8601i | 0.634791i | ||||||||
\(549\) | 4.08538 | 0.174360 | ||||||||
\(550\) | − | 75.6265i | − | 3.22472i | ||||||
\(551\) | −0.973199 | −0.0414597 | ||||||||
\(552\) | 3.24517 | + | 3.53113i | 0.138124 | + | 0.150295i | ||||
\(553\) | 2.21367 | + | 8.17735i | 0.0941346 | + | 0.347736i | ||||
\(554\) | 5.60899 | 0.238303 | ||||||||
\(555\) | 39.0652 | 1.65823 | ||||||||
\(556\) | − | 4.46496i | − | 0.189357i | ||||||
\(557\) | 35.3796i | 1.49908i | 0.661957 | + | 0.749542i | \(0.269726\pi\) | ||||
−0.661957 | + | 0.749542i | \(0.730274\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.99362 | 0.253503 | ||||||||
\(560\) | −10.7210 | + | 2.90225i | −0.453045 | + | 0.122642i | ||||
\(561\) | 30.6003 | 1.29194 | ||||||||
\(562\) | 19.4973i | 0.822443i | ||||||||
\(563\) | −21.0100 | −0.885466 | −0.442733 | − | 0.896654i | \(-0.645991\pi\) | ||||
−0.442733 | + | 0.896654i | \(0.645991\pi\) | |||||||
\(564\) | 9.62324 | 0.405211 | ||||||||
\(565\) | − | 35.7193i | − | 1.50272i | ||||||
\(566\) | 20.0766 | 0.843884 | ||||||||
\(567\) | 2.55383 | − | 0.691340i | 0.107251 | − | 0.0290335i | ||||
\(568\) | −3.70848 | −0.155604 | ||||||||
\(569\) | 6.39130i | 0.267937i | 0.990986 | + | 0.133969i | \(0.0427721\pi\) | ||||
−0.990986 | + | 0.133969i | \(0.957228\pi\) | |||||||
\(570\) | 4.29152i | 0.179752i | ||||||||
\(571\) | − | 22.0348i | − | 0.922129i | −0.887367 | − | 0.461065i | \(-0.847468\pi\) | ||
0.887367 | − | 0.461065i | \(-0.152532\pi\) | |||||||
\(572\) | −4.53214 | −0.189498 | ||||||||
\(573\) | −8.25712 | −0.344946 | ||||||||
\(574\) | −3.28835 | − | 12.1473i | −0.137253 | − | 0.507017i | ||||
\(575\) | 44.5743 | − | 40.9645i | 1.85888 | − | 1.70834i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 15.3175i | 0.637674i | 0.947810 | + | 0.318837i | \(0.103292\pi\) | ||||
−0.947810 | + | 0.318837i | \(0.896708\pi\) | |||||||
\(578\) | 9.08820 | 0.378019 | ||||||||
\(579\) | − | 10.7565i | − | 0.447024i | ||||||
\(580\) | −3.99646 | −0.165944 | ||||||||
\(581\) | −31.8754 | + | 8.62888i | −1.32241 | + | 0.357986i | ||||
\(582\) | 14.4370i | 0.598434i | ||||||||
\(583\) | −55.0760 | −2.28101 | ||||||||
\(584\) | − | 12.8668i | − | 0.532430i | ||||||
\(585\) | − | 3.17573i | − | 0.131300i | ||||||
\(586\) | −23.1198 | −0.955069 | ||||||||
\(587\) | − | 22.6634i | − | 0.935420i | −0.883882 | − | 0.467710i | \(-0.845079\pi\) | ||
0.883882 | − | 0.467710i | \(-0.154921\pi\) | |||||||
\(588\) | 3.53113 | + | 6.04410i | 0.145621 | + | 0.249254i | ||||
\(589\) | 0 | 0 | ||||||||
\(590\) | − | 1.22382i | − | 0.0503839i | ||||||
\(591\) | 6.79280i | 0.279419i | ||||||||
\(592\) | 9.30566i | 0.382460i | ||||||||
\(593\) | − | 40.5704i | − | 1.66603i | −0.553254 | − | 0.833013i | \(-0.686614\pi\) | ||
0.553254 | − | 0.833013i | \(-0.313386\pi\) | |||||||
\(594\) | −5.99105 | −0.245816 | ||||||||
\(595\) | −54.7592 | + | 14.8237i | −2.24491 | + | 0.607712i | ||||
\(596\) | 15.7697i | 0.645954i | ||||||||
\(597\) | 7.28481i | 0.298147i | ||||||||
\(598\) | −2.45492 | − | 2.67125i | −0.100389 | − | 0.109235i | ||||
\(599\) | −1.15828 | −0.0473259 | −0.0236629 | − | 0.999720i | \(-0.507533\pi\) | ||||
−0.0236629 | + | 0.999720i | \(0.507533\pi\) | |||||||
\(600\) | 12.6232i | 0.515341i | ||||||||
\(601\) | − | 2.34340i | − | 0.0955894i | −0.998857 | − | 0.0477947i | \(-0.984781\pi\) | ||
0.998857 | − | 0.0477947i | \(-0.0152193\pi\) | |||||||
\(602\) | 5.47747 | + | 20.2340i | 0.223245 | + | 0.824675i | ||||
\(603\) | 13.1433i | 0.535235i | ||||||||
\(604\) | −13.9148 | −0.566184 | ||||||||
\(605\) | 104.500 | 4.24851 | ||||||||
\(606\) | −18.9549 | −0.769992 | ||||||||
\(607\) | 29.1220i | 1.18202i | 0.806663 | + | 0.591012i | \(0.201271\pi\) | ||||
−0.806663 | + | 0.591012i | \(0.798729\pi\) | |||||||
\(608\) | −1.02228 | −0.0414588 | ||||||||
\(609\) | 0.658149 | + | 2.43122i | 0.0266696 | + | 0.0985181i | ||||
\(610\) | 17.1505 | 0.694402 | ||||||||
\(611\) | −7.27983 | −0.294511 | ||||||||
\(612\) | −5.10766 | −0.206465 | ||||||||
\(613\) | 18.9255i | 0.764393i | 0.924081 | + | 0.382197i | \(0.124832\pi\) | ||||
−0.924081 | + | 0.382197i | \(0.875168\pi\) | |||||||
\(614\) | 17.6596i | 0.712682i | ||||||||
\(615\) | −19.9677 | −0.805177 | ||||||||
\(616\) | −4.14185 | − | 15.3001i | −0.166880 | − | 0.616460i | ||||
\(617\) | − | 21.7218i | − | 0.874488i | −0.899343 | − | 0.437244i | \(-0.855955\pi\) | ||
0.899343 | − | 0.437244i | \(-0.144045\pi\) | |||||||
\(618\) | 6.46407i | 0.260023i | ||||||||
\(619\) | 21.6707 | 0.871019 | 0.435510 | − | 0.900184i | \(-0.356568\pi\) | ||||
0.435510 | + | 0.900184i | \(0.356568\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −3.24517 | − | 3.53113i | −0.130224 | − | 0.141699i | ||||
\(622\) | − | 10.6712i | − | 0.427878i | ||||||
\(623\) | −3.17643 | + | 0.859883i | −0.127261 | + | 0.0344505i | ||||
\(624\) | 0.756485 | 0.0302836 | ||||||||
\(625\) | 71.2299 | 2.84920 | ||||||||
\(626\) | −12.2599 | −0.490003 | ||||||||
\(627\) | −6.12452 | −0.244590 | ||||||||
\(628\) | 12.7066 | 0.507050 | ||||||||
\(629\) | 47.5302i | 1.89515i | ||||||||
\(630\) | 10.7210 | − | 2.90225i | 0.427134 | − | 0.115628i | ||||
\(631\) | 41.5434i | 1.65382i | 0.562337 | + | 0.826908i | \(0.309903\pi\) | ||||
−0.562337 | + | 0.826908i | \(0.690097\pi\) | |||||||
\(632\) | 3.20199i | 0.127368i | ||||||||
\(633\) | − | 5.84081i | − | 0.232151i | ||||||
\(634\) | 15.5869 | 0.619036 | ||||||||
\(635\) | 43.2637 | 1.71687 | ||||||||
\(636\) | 9.19304 | 0.364528 | ||||||||
\(637\) | −2.67125 | − | 4.57227i | −0.105839 | − | 0.181160i | ||||
\(638\) | − | 5.70343i | − | 0.225801i | ||||||
\(639\) | 3.70848 | 0.146705 | ||||||||
\(640\) | −4.19800 | −0.165941 | ||||||||
\(641\) | − | 24.5273i | − | 0.968770i | −0.874855 | − | 0.484385i | \(-0.839043\pi\) | ||
0.874855 | − | 0.484385i | \(-0.160957\pi\) | |||||||
\(642\) | 0.360402 | 0.0142239 | ||||||||
\(643\) | 0.644573 | 0.0254195 | 0.0127097 | − | 0.999919i | \(-0.495954\pi\) | ||||
0.0127097 | + | 0.999919i | \(0.495954\pi\) | |||||||
\(644\) | 6.77439 | − | 10.7288i | 0.266948 | − | 0.422775i | ||||
\(645\) | 33.2607 | 1.30964 | ||||||||
\(646\) | −5.22145 | −0.205435 | ||||||||
\(647\) | 2.67125i | 0.105018i | 0.998620 | + | 0.0525088i | \(0.0167217\pi\) | ||||
−0.998620 | + | 0.0525088i | \(0.983278\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | 1.74654 | 0.0685575 | ||||||||
\(650\) | − | 9.54929i | − | 0.374554i | ||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 19.6375 | 0.769063 | ||||||||
\(653\) | −28.5263 | −1.11632 | −0.558160 | − | 0.829733i | \(-0.688493\pi\) | ||||
−0.558160 | + | 0.829733i | \(0.688493\pi\) | |||||||
\(654\) | 0.909657 | 0.0355704 | ||||||||
\(655\) | 7.99292i | 0.312309i | ||||||||
\(656\) | − | 4.75648i | − | 0.185710i | ||||||
\(657\) | 12.8668i | 0.501980i | ||||||||
\(658\) | −6.65293 | − | 24.5761i | −0.259358 | − | 0.958077i | ||||
\(659\) | − | 25.0003i | − | 0.973875i | −0.873437 | − | 0.486937i | \(-0.838114\pi\) | ||
0.873437 | − | 0.486937i | \(-0.161886\pi\) | |||||||
\(660\) | −25.1505 | −0.978980 | ||||||||
\(661\) | −20.4997 | −0.797346 | −0.398673 | − | 0.917093i | \(-0.630529\pi\) | ||||
−0.398673 | + | 0.917093i | \(0.630529\pi\) | |||||||
\(662\) | 34.0172 | 1.32212 | ||||||||
\(663\) | 3.86387 | 0.150060 | ||||||||
\(664\) | −12.4814 | −0.484372 | ||||||||
\(665\) | 10.9598 | − | 2.96690i | 0.425004 | − | 0.115051i | ||||
\(666\) | − | 9.30566i | − | 0.360587i | ||||||
\(667\) | 3.36160 | − | 3.08937i | 0.130162 | − | 0.119621i | ||||
\(668\) | 1.25776i | 0.0486643i | ||||||||
\(669\) | 3.60899 | 0.139532 | ||||||||
\(670\) | 55.1755i | 2.13161i | ||||||||
\(671\) | 24.4757i | 0.944875i | ||||||||
\(672\) | 0.691340 | + | 2.55383i | 0.0266690 | + | 0.0985161i | ||||
\(673\) | 25.1362 | 0.968930 | 0.484465 | − | 0.874811i | \(-0.339014\pi\) | ||||
0.484465 | + | 0.874811i | \(0.339014\pi\) | |||||||
\(674\) | 11.0361i | 0.425093i | ||||||||
\(675\) | − | 12.6232i | − | 0.485869i | ||||||
\(676\) | 12.4277 | 0.477990 | ||||||||
\(677\) | 20.5271 | 0.788921 | 0.394461 | − | 0.918913i | \(-0.370931\pi\) | ||||
0.394461 | + | 0.918913i | \(0.370931\pi\) | |||||||
\(678\) | −8.50863 | −0.326772 | ||||||||
\(679\) | 36.8697 | − | 9.98089i | 1.41493 | − | 0.383031i | ||||
\(680\) | −21.4420 | −0.822262 | ||||||||
\(681\) | 10.1264i | 0.388044i | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 30.0535 | 1.14997 | 0.574983 | − | 0.818165i | \(-0.305009\pi\) | ||||
0.574983 | + | 0.818165i | \(0.305009\pi\) | |||||||
\(684\) | 1.02228 | 0.0390878 | ||||||||
\(685\) | − | 62.3827i | − | 2.38352i | ||||||
\(686\) | 12.9944 | − | 13.1964i | 0.496128 | − | 0.503842i | ||||
\(687\) | 11.6607i | 0.444882i | ||||||||
\(688\) | 7.92299i | 0.302061i | ||||||||
\(689\) | −6.95440 | −0.264942 | ||||||||
\(690\) | −13.6232 | − | 14.8237i | −0.518628 | − | 0.564328i | ||||
\(691\) | 17.3317i | 0.659329i | 0.944098 | + | 0.329665i | \(0.106936\pi\) | ||||
−0.944098 | + | 0.329665i | \(0.893064\pi\) | |||||||
\(692\) | 6.08820i | 0.231439i | ||||||||
\(693\) | 4.14185 | + | 15.3001i | 0.157336 | + | 0.581204i | ||||
\(694\) | −30.6742 | −1.16438 | ||||||||
\(695\) | 18.7439i | 0.710998i | ||||||||
\(696\) | 0.951991i | 0.0360851i | ||||||||
\(697\) | − | 24.2945i | − | 0.920220i | ||||||
\(698\) | 34.6997i | 1.31340i | ||||||||
\(699\) | − | 11.1505i | − | 0.421749i | ||||||
\(700\) | 32.2376 | − | 8.72695i | 1.21847 | − | 0.329848i | ||||
\(701\) | 4.28320i | 0.161774i | 0.996723 | + | 0.0808871i | \(0.0257753\pi\) | ||||
−0.996723 | + | 0.0808871i | \(0.974225\pi\) | |||||||
\(702\) | −0.756485 | −0.0285517 | ||||||||
\(703\) | − | 9.51297i | − | 0.358788i | ||||||
\(704\) | − | 5.99105i | − | 0.225796i | ||||||
\(705\) | −40.3984 | −1.52149 | ||||||||
\(706\) | 6.85250i | 0.257897i | ||||||||
\(707\) | 13.1043 | + | 48.4077i | 0.492838 | + | 1.82056i | ||||
\(708\) | −0.291524 | −0.0109561 | ||||||||
\(709\) | − | 27.4541i | − | 1.03106i | −0.856871 | − | 0.515530i | \(-0.827595\pi\) | ||
0.856871 | − | 0.515530i | \(-0.172405\pi\) | |||||||
\(710\) | 15.5682 | 0.584264 | ||||||||
\(711\) | − | 3.20199i | − | 0.120084i | ||||||
\(712\) | −1.24379 | −0.0466131 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | 3.53113 | + | 13.0441i | 0.132149 | + | 0.488163i | ||||
\(715\) | 19.0259 | 0.711530 | ||||||||
\(716\) | 7.81874 | 0.292200 | ||||||||
\(717\) | − | 10.6712i | − | 0.398525i | ||||||
\(718\) | − | 9.38829i | − | 0.350368i | ||||||
\(719\) | 27.8109i | 1.03717i | 0.855025 | + | 0.518586i | \(0.173541\pi\) | ||||
−0.855025 | + | 0.518586i | \(0.826459\pi\) | |||||||
\(720\) | 4.19800 | 0.156450 | ||||||||
\(721\) | 16.5081 | − | 4.46887i | 0.614796 | − | 0.166429i | ||||
\(722\) | −17.9549 | −0.668214 | ||||||||
\(723\) | − | 14.4370i | − | 0.536919i | ||||||
\(724\) | −13.4800 | −0.500979 | ||||||||
\(725\) | 12.0172 | 0.446308 | ||||||||
\(726\) | − | 24.8927i | − | 0.923854i | ||||||
\(727\) | −14.3244 | −0.531263 | −0.265631 | − | 0.964075i | \(-0.585580\pi\) | ||||
−0.265631 | + | 0.964075i | \(0.585580\pi\) | |||||||
\(728\) | −0.522988 | − | 1.93193i | −0.0193832 | − | 0.0716022i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | 54.0147i | 1.99917i | ||||||||
\(731\) | 40.4679i | 1.49676i | ||||||||
\(732\) | − | 4.08538i | − | 0.151000i | ||||||
\(733\) | −7.94925 | −0.293612 | −0.146806 | − | 0.989165i | \(-0.546899\pi\) | ||||
−0.146806 | + | 0.989165i | \(0.546899\pi\) | |||||||
\(734\) | 32.4254 | 1.19684 | ||||||||
\(735\) | −14.8237 | − | 25.3731i | −0.546780 | − | 0.935903i | ||||
\(736\) | 3.53113 | − | 3.24517i | 0.130159 | − | 0.119619i | ||||
\(737\) | −78.7420 | −2.90050 | ||||||||
\(738\) | 4.75648i | 0.175089i | ||||||||
\(739\) | 4.10731 | 0.151090 | 0.0755449 | − | 0.997142i | \(-0.475930\pi\) | ||||
0.0755449 | + | 0.997142i | \(0.475930\pi\) | |||||||
\(740\) | − | 39.0652i | − | 1.43607i | ||||||
\(741\) | −0.773337 | −0.0284093 | ||||||||
\(742\) | −6.35552 | − | 23.4775i | −0.233318 | − | 0.861885i | ||||
\(743\) | − | 7.36361i | − | 0.270145i | −0.990836 | − | 0.135072i | \(-0.956873\pi\) | ||
0.990836 | − | 0.135072i | \(-0.0431267\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 66.2014i | − | 2.42543i | ||||||
\(746\) | − | 7.17591i | − | 0.262729i | ||||||
\(747\) | 12.4814 | 0.456670 | ||||||||
\(748\) | − | 30.6003i | − | 1.11886i | ||||||
\(749\) | −0.249160 | − | 0.920406i | −0.00910412 | − | 0.0336309i | ||||
\(750\) | − | 32.0024i | − | 1.16856i | ||||||
\(751\) | 44.0633i | 1.60789i | 0.594702 | + | 0.803946i | \(0.297270\pi\) | ||||
−0.594702 | + | 0.803946i | \(0.702730\pi\) | |||||||
\(752\) | − | 9.62324i | − | 0.350923i | ||||||
\(753\) | 9.30566i | 0.339117i | ||||||||
\(754\) | − | 0.720167i | − | 0.0262269i | ||||||
\(755\) | 58.4142 | 2.12591 | ||||||||
\(756\) | −0.691340 | − | 2.55383i | −0.0251438 | − | 0.0928819i | ||||
\(757\) | 30.5446i | 1.11016i | 0.831796 | + | 0.555082i | \(0.187313\pi\) | ||||
−0.831796 | + | 0.555082i | \(0.812687\pi\) | |||||||
\(758\) | − | 24.3373i | − | 0.883970i | ||||||
\(759\) | 21.1552 | − | 19.4420i | 0.767884 | − | 0.705699i | ||||
\(760\) | 4.29152 | 0.155670 | ||||||||
\(761\) | 15.4091i | 0.558581i | 0.960207 | + | 0.279290i | \(0.0900992\pi\) | ||||
−0.960207 | + | 0.279290i | \(0.909901\pi\) | |||||||
\(762\) | − | 10.3058i | − | 0.373339i | ||||||
\(763\) | −0.628882 | − | 2.32311i | −0.0227671 | − | 0.0841022i | ||||
\(764\) | 8.25712i | 0.298732i | ||||||||
\(765\) | 21.4420 | 0.775236 | ||||||||
\(766\) | −23.3687 | −0.844346 | ||||||||
\(767\) | 0.220534 | 0.00796301 | ||||||||
\(768\) | 1.00000i | 0.0360844i | ||||||||
\(769\) | 44.2623 | 1.59614 | 0.798069 | − | 0.602566i | \(-0.205855\pi\) | ||||
0.798069 | + | 0.602566i | \(0.205855\pi\) | |||||||
\(770\) | 17.3875 | + | 64.2300i | 0.626602 | + | 2.31469i | ||||
\(771\) | −12.1842 | −0.438804 | ||||||||
\(772\) | −10.7565 | −0.387134 | ||||||||
\(773\) | 11.5480 | 0.415354 | 0.207677 | − | 0.978197i | \(-0.433410\pi\) | ||||
0.207677 | + | 0.978197i | \(0.433410\pi\) | |||||||
\(774\) | − | 7.92299i | − | 0.284786i | ||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 14.4370 | 0.518259 | ||||||||
\(777\) | −23.7651 | + | 6.43338i | −0.852568 | + | 0.230796i | ||||
\(778\) | − | 26.2103i | − | 0.939685i | ||||||
\(779\) | 4.86245i | 0.174215i | ||||||||
\(780\) | −3.17573 | −0.113709 | ||||||||
\(781\) | 22.2177i | 0.795011i | ||||||||
\(782\) | 18.0358 | − | 16.5752i | 0.644959 | − | 0.592729i | ||||
\(783\) | − | 0.951991i | − | 0.0340214i | ||||||
\(784\) | 6.04410 | − | 3.53113i | 0.215861 | − | 0.126112i | ||||
\(785\) | −53.3425 | −1.90388 | ||||||||
\(786\) | 1.90398 | 0.0679128 | ||||||||
\(787\) | 6.93070 | 0.247053 | 0.123526 | − | 0.992341i | \(-0.460580\pi\) | ||||
0.123526 | + | 0.992341i | \(0.460580\pi\) | |||||||
\(788\) | 6.79280 | 0.241984 | ||||||||
\(789\) | −16.3952 | −0.583685 | ||||||||
\(790\) | − | 13.4420i | − | 0.478244i | ||||||
\(791\) | 5.88235 | + | 21.7296i | 0.209152 | + | 0.772615i | ||||
\(792\) | 5.99105i | 0.212883i | ||||||||
\(793\) | 3.09053i | 0.109748i | ||||||||
\(794\) | − | 6.77073i | − | 0.240284i | ||||||
\(795\) | −38.5924 | −1.36873 | ||||||||
\(796\) | 7.28481 | 0.258203 | ||||||||
\(797\) | −16.1852 | −0.573311 | −0.286655 | − | 0.958034i | \(-0.592543\pi\) | ||||
−0.286655 | + | 0.958034i | \(0.592543\pi\) | |||||||
\(798\) | −0.706741 | − | 2.61072i | −0.0250184 | − | 0.0924186i | ||||
\(799\) | − | 49.1522i | − | 1.73888i | ||||||
\(800\) | 12.6232 | 0.446299 | ||||||||
\(801\) | 1.24379 | 0.0439472 | ||||||||
\(802\) | − | 20.0330i | − | 0.707389i | ||||||
\(803\) | −77.0854 | −2.72028 | ||||||||
\(804\) | 13.1433 | 0.463527 | ||||||||
\(805\) | −28.4389 | + | 45.0396i | −1.00234 | + | 1.58744i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −19.3175 | −0.680007 | ||||||||
\(808\) | 18.9549i | 0.666833i | ||||||||
\(809\) | 31.7620 | 1.11669 | 0.558346 | − | 0.829608i | \(-0.311436\pi\) | ||||
0.558346 | + | 0.829608i | \(0.311436\pi\) | |||||||
\(810\) | −4.19800 | −0.147503 | ||||||||
\(811\) | − | 34.9173i | − | 1.22611i | −0.790039 | − | 0.613056i | \(-0.789940\pi\) | ||
0.790039 | − | 0.613056i | \(-0.210060\pi\) | |||||||
\(812\) | 2.43122 | − | 0.658149i | 0.0853192 | − | 0.0230965i | ||||
\(813\) | −9.51297 | −0.333634 | ||||||||
\(814\) | 55.7507 | 1.95406 | ||||||||
\(815\) | −82.4382 | −2.88769 | ||||||||
\(816\) | 5.10766i | 0.178804i | ||||||||
\(817\) | − | 8.09949i | − | 0.283365i | ||||||
\(818\) | − | 35.4592i | − | 1.23980i | ||||||
\(819\) | 0.522988 | + | 1.93193i | 0.0182747 | + | 0.0675072i | ||||
\(820\) | 19.9677i | 0.697304i | ||||||||
\(821\) | −40.3166 | −1.40706 | −0.703529 | − | 0.710667i | \(-0.748393\pi\) | ||||
−0.703529 | + | 0.710667i | \(0.748393\pi\) | |||||||
\(822\) | −14.8601 | −0.518305 | ||||||||
\(823\) | −19.5982 | −0.683151 | −0.341575 | − | 0.939854i | \(-0.610960\pi\) | ||||
−0.341575 | + | 0.939854i | \(0.610960\pi\) | |||||||
\(824\) | 6.46407 | 0.225187 | ||||||||
\(825\) | 75.6265 | 2.63298 | ||||||||
\(826\) | 0.201542 | + | 0.744503i | 0.00701255 | + | 0.0259046i | ||||
\(827\) | − | 16.6620i | − | 0.579394i | −0.957118 | − | 0.289697i | \(-0.906445\pi\) | ||
0.957118 | − | 0.289697i | \(-0.0935546\pi\) | |||||||
\(828\) | −3.53113 | + | 3.24517i | −0.122715 | + | 0.112777i | ||||
\(829\) | − | 8.96624i | − | 0.311410i | −0.987804 | − | 0.155705i | \(-0.950235\pi\) | ||
0.987804 | − | 0.155705i | \(-0.0497650\pi\) | |||||||
\(830\) | 52.3969 | 1.81872 | ||||||||
\(831\) | 5.60899i | 0.194574i | ||||||||
\(832\) | − | 0.756485i | − | 0.0262264i | ||||||
\(833\) | 30.8712 | − | 18.0358i | 1.06962 | − | 0.624904i | ||||
\(834\) | 4.46496 | 0.154609 | ||||||||
\(835\) | − | 5.28010i | − | 0.182725i | ||||||
\(836\) | 6.12452i | 0.211821i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 15.1214 | 0.522361 | ||||||||
\(839\) | 20.2054 | 0.697568 | 0.348784 | − | 0.937203i | \(-0.386595\pi\) | ||||
0.348784 | + | 0.937203i | \(0.386595\pi\) | |||||||
\(840\) | −2.90225 | − | 10.7210i | −0.100137 | − | 0.369909i | ||||
\(841\) | −28.0937 | −0.968749 | ||||||||
\(842\) | − | 32.6016i | − | 1.12353i | ||||||
\(843\) | −19.4973 | −0.671522 | ||||||||
\(844\) | −5.84081 | −0.201049 | ||||||||
\(845\) | −52.1717 | −1.79476 | ||||||||
\(846\) | 9.62324i | 0.330854i | ||||||||
\(847\) | −63.5717 | + | 17.2093i | −2.18435 | + | 0.591319i | ||||
\(848\) | − | 9.19304i | − | 0.315690i | ||||||
\(849\) | 20.0766i | 0.689028i | ||||||||
\(850\) | 64.4752 | 2.21148 | ||||||||
\(851\) | 30.1985 | + | 32.8595i | 1.03519 | + | 1.12641i | ||||
\(852\) | − | 3.70848i | − | 0.127050i | ||||||
\(853\) | 19.5410i | 0.669070i | 0.942383 | + | 0.334535i | \(0.108579\pi\) | ||||
−0.942383 | + | 0.334535i | \(0.891421\pi\) | |||||||
\(854\) | −10.4334 | + | 2.82439i | −0.357023 | + | 0.0966486i | ||||
\(855\) | −4.29152 | −0.146767 | ||||||||
\(856\) | − | 0.360402i | − | 0.0123183i | ||||||
\(857\) | 37.1249i | 1.26816i | 0.773266 | + | 0.634081i | \(0.218622\pi\) | ||||
−0.773266 | + | 0.634081i | \(0.781378\pi\) | |||||||
\(858\) | − | 4.53214i | − | 0.154725i | ||||||
\(859\) | 33.1897i | 1.13242i | 0.824261 | + | 0.566210i | \(0.191591\pi\) | ||||
−0.824261 | + | 0.566210i | \(0.808409\pi\) | |||||||
\(860\) | − | 33.2607i | − | 1.13418i | ||||||
\(861\) | 12.1473 | − | 3.28835i | 0.413977 | − | 0.112067i | ||||
\(862\) | 26.5106i | 0.902955i | ||||||||
\(863\) | 8.36251 | 0.284663 | 0.142332 | − | 0.989819i | \(-0.454540\pi\) | ||||
0.142332 | + | 0.989819i | \(0.454540\pi\) | |||||||
\(864\) | − | 1.00000i | − | 0.0340207i | ||||||
\(865\) | − | 25.5583i | − | 0.869007i | ||||||
\(866\) | −30.1831 | −1.02566 | ||||||||
\(867\) | 9.08820i | 0.308651i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19.1833 | 0.650749 | ||||||||
\(870\) | − | 3.99646i | − | 0.135493i | ||||||
\(871\) | −9.94268 | −0.336895 | ||||||||
\(872\) | − | 0.909657i | − | 0.0308049i | ||||||
\(873\) | −14.4370 | −0.488619 | ||||||||
\(874\) | −3.60979 | + | 3.31746i | −0.122103 | + | 0.112215i | ||||
\(875\) | −81.7286 | + | 22.1245i | −2.76293 | + | 0.747945i | ||||
\(876\) | 12.8668 | 0.434727 | ||||||||
\(877\) | −28.6349 | −0.966933 | −0.483466 | − | 0.875363i | \(-0.660622\pi\) | ||||
−0.483466 | + | 0.875363i | \(0.660622\pi\) | |||||||
\(878\) | 27.8295i | 0.939201i | ||||||||
\(879\) | − | 23.1198i | − | 0.779810i | ||||||
\(880\) | 25.1505i | 0.847822i | ||||||||
\(881\) | −38.6663 | −1.30270 | −0.651351 | − | 0.758777i | \(-0.725797\pi\) | ||||
−0.651351 | + | 0.758777i | \(0.725797\pi\) | |||||||
\(882\) | −6.04410 | + | 3.53113i | −0.203515 | + | 0.118899i | ||||
\(883\) | −33.6547 | −1.13257 | −0.566285 | − | 0.824209i | \(-0.691620\pi\) | ||||
−0.566285 | + | 0.824209i | \(0.691620\pi\) | |||||||
\(884\) | − | 3.86387i | − | 0.129956i | ||||||
\(885\) | 1.22382 | 0.0411382 | ||||||||
\(886\) | 15.1362 | 0.508511 | ||||||||
\(887\) | − | 40.3200i | − | 1.35381i | −0.736069 | − | 0.676907i | \(-0.763320\pi\) | ||
0.736069 | − | 0.676907i | \(-0.236680\pi\) | |||||||
\(888\) | −9.30566 | −0.312278 | ||||||||
\(889\) | −26.3192 | + | 7.12479i | −0.882717 | + | 0.238958i | ||||
\(890\) | 5.22145 | 0.175023 | ||||||||
\(891\) | − | 5.99105i | − | 0.200708i | ||||||
\(892\) | − | 3.60899i | − | 0.120838i | ||||||
\(893\) | 9.83762i | 0.329203i | ||||||||
\(894\) | −15.7697 | −0.527419 | ||||||||
\(895\) | −32.8231 | −1.09716 | ||||||||
\(896\) | 2.55383 | − | 0.691340i | 0.0853175 | − | 0.0230960i | ||||
\(897\) | 2.67125 | − | 2.45492i | 0.0891903 | − | 0.0819675i | ||||
\(898\) | 24.6634 | 0.823029 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −12.6232 | −0.420775 | ||||||||
\(901\) | − | 46.9549i | − | 1.56430i | ||||||
\(902\) | −28.4963 | −0.948824 | ||||||||
\(903\) | −20.2340 | + | 5.47747i | −0.673344 | + | 0.182279i | ||||
\(904\) | 8.50863i | 0.282993i | ||||||||
\(905\) | 56.5890 | 1.88108 | ||||||||
\(906\) | − | 13.9148i | − | 0.462287i | ||||||
\(907\) | − | 35.2555i | − | 1.17064i | −0.810803 | − | 0.585320i | \(-0.800969\pi\) | ||
0.810803 | − | 0.585320i | \(-0.199031\pi\) | |||||||
\(908\) | 10.1264 | 0.336056 | ||||||||
\(909\) | − | 18.9549i | − | 0.628696i | ||||||
\(910\) | 2.19551 | + | 8.11027i | 0.0727803 | + | 0.268853i | ||||
\(911\) | 40.2070i | 1.33212i | 0.745900 | + | 0.666058i | \(0.232020\pi\) | ||||
−0.745900 | + | 0.666058i | \(0.767980\pi\) | |||||||
\(912\) | − | 1.02228i | − | 0.0338510i | ||||||
\(913\) | 74.7766i | 2.47475i | ||||||||
\(914\) | 19.6573i | 0.650206i | ||||||||
\(915\) | 17.1505i | 0.566977i | ||||||||
\(916\) | 11.6607 | 0.385279 | ||||||||
\(917\) | −1.31630 | − | 4.86245i | −0.0434680 | − | 0.160572i | ||||
\(918\) | − | 5.10766i | − | 0.168578i | ||||||
\(919\) | − | 23.1371i | − | 0.763222i | −0.924323 | − | 0.381611i | \(-0.875369\pi\) | ||
0.924323 | − | 0.381611i | \(-0.124631\pi\) | |||||||
\(920\) | −14.8237 | + | 13.6232i | −0.488723 | + | 0.449145i | ||||
\(921\) | −17.6596 | −0.581902 | ||||||||
\(922\) | − | 2.38754i | − | 0.0786295i | ||||||
\(923\) | 2.80541i | 0.0923411i | ||||||||
\(924\) | 15.3001 | − | 4.14185i | 0.503337 | − | 0.136257i | ||||
\(925\) | 117.468i | 3.86231i | ||||||||
\(926\) | −6.69678 | −0.220070 | ||||||||
\(927\) | −6.46407 | −0.212308 | ||||||||
\(928\) | 0.951991 | 0.0312506 | ||||||||
\(929\) | − | 1.51593i | − | 0.0497360i | −0.999691 | − | 0.0248680i | \(-0.992083\pi\) | ||
0.999691 | − | 0.0248680i | \(-0.00791654\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.17875 | + | 3.60979i | −0.202500 | + | 0.118306i | ||||
\(932\) | −11.1505 | −0.365245 | ||||||||
\(933\) | 10.6712 | 0.349361 | ||||||||
\(934\) | −25.9198 | −0.848123 | ||||||||
\(935\) | 128.460i | 4.20109i | ||||||||
\(936\) | 0.756485i | 0.0247265i | ||||||||
\(937\) | −19.3648 | −0.632620 | −0.316310 | − | 0.948656i | \(-0.602444\pi\) | ||||
−0.316310 | + | 0.948656i | \(0.602444\pi\) | |||||||
\(938\) | −9.08646 | − | 33.5657i | −0.296684 | − | 1.09596i | ||||
\(939\) | − | 12.2599i | − | 0.400086i | ||||||
\(940\) | 40.3984i | 1.31765i | ||||||||
\(941\) | −14.9614 | −0.487728 | −0.243864 | − | 0.969809i | \(-0.578415\pi\) | ||||
−0.243864 | + | 0.969809i | \(0.578415\pi\) | |||||||
\(942\) | 12.7066i | 0.414004i | ||||||||
\(943\) | −15.4356 | − | 16.7958i | −0.502652 | − | 0.546945i | ||||
\(944\) | 0.291524i | 0.00948830i | ||||||||
\(945\) | 2.90225 | + | 10.7210i | 0.0944101 | + | 0.348754i | ||||
\(946\) | 47.4670 | 1.54329 | ||||||||
\(947\) | −35.4121 | −1.15074 | −0.575369 | − | 0.817894i | \(-0.695142\pi\) | ||||
−0.575369 | + | 0.817894i | \(0.695142\pi\) | |||||||
\(948\) | −3.20199 | −0.103996 | ||||||||
\(949\) | −9.73350 | −0.315963 | ||||||||
\(950\) | −12.9044 | −0.418676 | ||||||||
\(951\) | 15.5869i | 0.505440i | ||||||||
\(952\) | 13.0441 | − | 3.53113i | 0.422762 | − | 0.114445i | ||||
\(953\) | 21.1263i | 0.684349i | 0.939636 | + | 0.342175i | \(0.111163\pi\) | ||||
−0.939636 | + | 0.342175i | \(0.888837\pi\) | |||||||
\(954\) | 9.19304i | 0.297636i | ||||||||
\(955\) | − | 34.6634i | − | 1.12168i | ||||||
\(956\) | −10.6712 | −0.345133 | ||||||||
\(957\) | 5.70343 | 0.184366 | ||||||||
\(958\) | 22.6930 | 0.733177 | ||||||||
\(959\) | 10.2734 | + | 37.9501i | 0.331744 | + | 1.22547i | ||||
\(960\) | − | 4.19800i | − | 0.135490i | ||||||
\(961\) | 31.0000 | 1.00000 | ||||||||
\(962\) | 7.03959 | 0.226966 | ||||||||
\(963\) | 0.360402i | 0.0116138i | ||||||||
\(964\) | −14.4370 | −0.464985 | ||||||||
\(965\) | 45.1558 | 1.45362 | ||||||||
\(966\) | 10.7288 | + | 6.77439i | 0.345194 | + | 0.217962i | ||||
\(967\) | −59.4670 | −1.91233 | −0.956165 | − | 0.292828i | \(-0.905404\pi\) | ||||
−0.956165 | + | 0.292828i | \(0.905404\pi\) | |||||||
\(968\) | −24.8927 | −0.800081 | ||||||||
\(969\) | − | 5.22145i | − | 0.167737i | ||||||
\(970\) | −60.6067 | −1.94596 | ||||||||
\(971\) | 21.1500 | 0.678737 | 0.339369 | − | 0.940654i | \(-0.389787\pi\) | ||||
0.339369 | + | 0.940654i | \(0.389787\pi\) | |||||||
\(972\) | 1.00000i | 0.0320750i | ||||||||
\(973\) | −3.08680 | − | 11.4028i | −0.0989584 | − | 0.365555i | ||||
\(974\) | 5.33171 | 0.170839 | ||||||||
\(975\) | 9.54929 | 0.305822 | ||||||||
\(976\) | −4.08538 | −0.130770 | ||||||||
\(977\) | − | 1.75409i | − | 0.0561183i | −0.999606 | − | 0.0280592i | \(-0.991067\pi\) | ||
0.999606 | − | 0.0280592i | \(-0.00893268\pi\) | |||||||
\(978\) | 19.6375i | 0.627938i | ||||||||
\(979\) | 7.45162i | 0.238155i | ||||||||
\(980\) | −25.3731 | + | 14.8237i | −0.810516 | + | 0.473525i | ||||
\(981\) | 0.909657i | 0.0290431i | ||||||||
\(982\) | −3.21798 | −0.102690 | ||||||||
\(983\) | 43.8468 | 1.39849 | 0.699247 | − | 0.714880i | \(-0.253519\pi\) | ||||
0.699247 | + | 0.714880i | \(0.253519\pi\) | |||||||
\(984\) | 4.75648 | 0.151631 | ||||||||
\(985\) | −28.5162 | −0.908602 | ||||||||
\(986\) | 4.86245 | 0.154852 | ||||||||
\(987\) | 24.5761 | − | 6.65293i | 0.782266 | − | 0.211765i | ||||
\(988\) | 0.773337i | 0.0246031i | ||||||||
\(989\) | 25.7114 | + | 27.9771i | 0.817576 | + | 0.889619i | ||||
\(990\) | − | 25.1505i | − | 0.799334i | ||||||
\(991\) | 40.4411 | 1.28465 | 0.642326 | − | 0.766431i | \(-0.277969\pi\) | ||||
0.642326 | + | 0.766431i | \(0.277969\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 34.0172i | 1.07950i | ||||||||
\(994\) | −9.47082 | + | 2.56382i | −0.300396 | + | 0.0813193i | ||||
\(995\) | −30.5817 | −0.969504 | ||||||||
\(996\) | − | 12.4814i | − | 0.395488i | ||||||
\(997\) | − | 18.7154i | − | 0.592722i | −0.955076 | − | 0.296361i | \(-0.904227\pi\) | ||
0.955076 | − | 0.296361i | \(-0.0957732\pi\) | |||||||
\(998\) | −11.4170 | −0.361397 | ||||||||
\(999\) | 9.30566 | 0.294418 |
(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 | 966.2.g.e.643.9 | yes | 16 | |
3.2 | odd | 2 | 2898.2.g.j.2575.15 | 16 | |||
7.6 | odd | 2 | inner | 966.2.g.e.643.8 | yes | 16 | |
21.20 | even | 2 | 2898.2.g.j.2575.1 | 16 | |||
23.22 | odd | 2 | inner | 966.2.g.e.643.16 | yes | 16 | |
69.68 | even | 2 | 2898.2.g.j.2575.2 | 16 | |||
161.160 | even | 2 | inner | 966.2.g.e.643.1 | ✓ | 16 | |
483.482 | odd | 2 | 2898.2.g.j.2575.16 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.g.e.643.1 | ✓ | 16 | 161.160 | even | 2 | inner | |
966.2.g.e.643.8 | yes | 16 | 7.6 | odd | 2 | inner | |
966.2.g.e.643.9 | yes | 16 | 1.1 | even | 1 | trivial | |
966.2.g.e.643.16 | yes | 16 | 23.22 | odd | 2 | inner | |
2898.2.g.j.2575.1 | 16 | 21.20 | even | 2 | |||
2898.2.g.j.2575.2 | 16 | 69.68 | even | 2 | |||
2898.2.g.j.2575.15 | 16 | 3.2 | odd | 2 | |||
2898.2.g.j.2575.16 | 16 | 483.482 | odd | 2 |