Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(361,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.361");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.g (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 98) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.361 |
Dual form | 882.2.g.l.667.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.41421 | − | 2.44949i | −0.632456 | − | 1.09545i | −0.987048 | − | 0.160424i | \(-0.948714\pi\) |
0.354593 | − | 0.935021i | \(-0.384620\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.41421 | − | 2.44949i | 0.447214 | − | 0.774597i | ||||
\(11\) | −1.00000 | + | 1.73205i | −0.301511 | + | 0.522233i | −0.976478 | − | 0.215615i | \(-0.930824\pi\) |
0.674967 | + | 0.737848i | \(0.264158\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0.707107 | − | 1.22474i | 0.171499 | − | 0.297044i | −0.767445 | − | 0.641114i | \(-0.778472\pi\) |
0.938944 | + | 0.344070i | \(0.111806\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.53553 | − | 6.12372i | −0.811107 | − | 1.40488i | −0.912090 | − | 0.409991i | \(-0.865532\pi\) |
0.100983 | − | 0.994888i | \(-0.467801\pi\) | |||||||
\(20\) | 2.82843 | 0.632456 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.00000 | −0.426401 | ||||||||
\(23\) | −2.00000 | − | 3.46410i | −0.417029 | − | 0.722315i | 0.578610 | − | 0.815604i | \(-0.303595\pi\) |
−0.995639 | + | 0.0932891i | \(0.970262\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.50000 | + | 2.59808i | −0.300000 | + | 0.519615i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.00000 | −0.371391 | −0.185695 | − | 0.982607i | \(-0.559454\pi\) | ||||
−0.185695 | + | 0.982607i | \(0.559454\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.24264 | − | 7.34847i | 0.762001 | − | 1.31982i | −0.179817 | − | 0.983700i | \(-0.557551\pi\) |
0.941818 | − | 0.336124i | \(-0.109116\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.41421 | 0.242536 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.00000 | − | 8.66025i | −0.821995 | − | 1.42374i | −0.904194 | − | 0.427121i | \(-0.859528\pi\) |
0.0821995 | − | 0.996616i | \(-0.473806\pi\) | |||||||
\(38\) | 3.53553 | − | 6.12372i | 0.573539 | − | 0.993399i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.41421 | + | 2.44949i | 0.223607 | + | 0.387298i | ||||
\(41\) | −9.89949 | −1.54604 | −0.773021 | − | 0.634381i | \(-0.781255\pi\) | ||||
−0.773021 | + | 0.634381i | \(0.781255\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.00000 | 0.304997 | 0.152499 | − | 0.988304i | \(-0.451268\pi\) | ||||
0.152499 | + | 0.988304i | \(0.451268\pi\) | |||||||
\(44\) | −1.00000 | − | 1.73205i | −0.150756 | − | 0.261116i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.00000 | − | 3.46410i | 0.294884 | − | 0.510754i | ||||
\(47\) | −1.41421 | − | 2.44949i | −0.206284 | − | 0.357295i | 0.744257 | − | 0.667893i | \(-0.232804\pi\) |
−0.950541 | + | 0.310599i | \(0.899470\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.00000 | −0.424264 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −1.00000 | + | 1.73205i | −0.137361 | + | 0.237915i | −0.926497 | − | 0.376303i | \(-0.877195\pi\) |
0.789136 | + | 0.614218i | \(0.210529\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.65685 | 0.762770 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.00000 | − | 1.73205i | −0.131306 | − | 0.227429i | ||||
\(59\) | 0.707107 | − | 1.22474i | 0.0920575 | − | 0.159448i | −0.816319 | − | 0.577601i | \(-0.803989\pi\) |
0.908377 | + | 0.418153i | \(0.137322\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.41421 | + | 2.44949i | 0.181071 | + | 0.313625i | 0.942246 | − | 0.334922i | \(-0.108710\pi\) |
−0.761174 | + | 0.648547i | \(0.775377\pi\) | |||||||
\(62\) | 8.48528 | 1.07763 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.00000 | + | 10.3923i | −0.733017 | + | 1.26962i | 0.222571 | + | 0.974916i | \(0.428555\pi\) |
−0.955588 | + | 0.294706i | \(0.904778\pi\) | |||||||
\(68\) | 0.707107 | + | 1.22474i | 0.0857493 | + | 0.148522i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 12.0000 | 1.42414 | 0.712069 | − | 0.702109i | \(-0.247758\pi\) | ||||
0.712069 | + | 0.702109i | \(0.247758\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.707107 | + | 1.22474i | −0.0827606 | + | 0.143346i | −0.904435 | − | 0.426612i | \(-0.859707\pi\) |
0.821674 | + | 0.569958i | \(0.193040\pi\) | |||||||
\(74\) | 5.00000 | − | 8.66025i | 0.581238 | − | 1.00673i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 7.07107 | 0.811107 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.00000 | + | 3.46410i | 0.225018 | + | 0.389742i | 0.956325 | − | 0.292306i | \(-0.0944227\pi\) |
−0.731307 | + | 0.682048i | \(0.761089\pi\) | |||||||
\(80\) | −1.41421 | + | 2.44949i | −0.158114 | + | 0.273861i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.94975 | − | 8.57321i | −0.546608 | − | 0.946753i | ||||
\(83\) | 9.89949 | 1.08661 | 0.543305 | − | 0.839535i | \(-0.317173\pi\) | ||||
0.543305 | + | 0.839535i | \(0.317173\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.00000 | −0.433861 | ||||||||
\(86\) | 1.00000 | + | 1.73205i | 0.107833 | + | 0.186772i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.00000 | − | 1.73205i | 0.106600 | − | 0.184637i | ||||
\(89\) | 3.53553 | + | 6.12372i | 0.374766 | + | 0.649113i | 0.990292 | − | 0.139003i | \(-0.0443898\pi\) |
−0.615526 | + | 0.788116i | \(0.711056\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 4.00000 | 0.417029 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.41421 | − | 2.44949i | 0.145865 | − | 0.252646i | ||||
\(95\) | −10.0000 | + | 17.3205i | −1.02598 | + | 1.77705i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.89949 | −1.00514 | −0.502571 | − | 0.864536i | \(-0.667612\pi\) | ||||
−0.502571 | + | 0.864536i | \(0.667612\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −1.50000 | − | 2.59808i | −0.150000 | − | 0.259808i | ||||
\(101\) | −4.24264 | + | 7.34847i | −0.422159 | + | 0.731200i | −0.996150 | − | 0.0876610i | \(-0.972061\pi\) |
0.573992 | + | 0.818861i | \(0.305394\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 1.41421 | + | 2.44949i | 0.139347 | + | 0.241355i | 0.927249 | − | 0.374444i | \(-0.122166\pi\) |
−0.787903 | + | 0.615800i | \(0.788833\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.00000 | −0.194257 | ||||||||
\(107\) | −2.00000 | − | 3.46410i | −0.193347 | − | 0.334887i | 0.753010 | − | 0.658009i | \(-0.228601\pi\) |
−0.946357 | + | 0.323122i | \(0.895268\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.00000 | − | 1.73205i | 0.0957826 | − | 0.165900i | −0.814152 | − | 0.580651i | \(-0.802798\pi\) |
0.909935 | + | 0.414751i | \(0.136131\pi\) | |||||||
\(110\) | 2.82843 | + | 4.89898i | 0.269680 | + | 0.467099i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 12.0000 | 1.12887 | 0.564433 | − | 0.825479i | \(-0.309095\pi\) | ||||
0.564433 | + | 0.825479i | \(0.309095\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.65685 | + | 9.79796i | −0.527504 | + | 0.913664i | ||||
\(116\) | 1.00000 | − | 1.73205i | 0.0928477 | − | 0.160817i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.41421 | 0.130189 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | + | 6.06218i | 0.318182 | + | 0.551107i | ||||
\(122\) | −1.41421 | + | 2.44949i | −0.128037 | + | 0.221766i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 4.24264 | + | 7.34847i | 0.381000 | + | 0.659912i | ||||
\(125\) | −5.65685 | −0.505964 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 16.0000 | 1.41977 | 0.709885 | − | 0.704317i | \(-0.248747\pi\) | ||||
0.709885 | + | 0.704317i | \(0.248747\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −6.36396 | − | 11.0227i | −0.556022 | − | 0.963058i | −0.997823 | − | 0.0659452i | \(-0.978994\pi\) |
0.441801 | − | 0.897113i | \(-0.354340\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.0000 | −1.03664 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.707107 | + | 1.22474i | −0.0606339 | + | 0.105021i | ||||
\(137\) | 6.00000 | − | 10.3923i | 0.512615 | − | 0.887875i | −0.487278 | − | 0.873247i | \(-0.662010\pi\) |
0.999893 | − | 0.0146279i | \(-0.00465636\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −9.89949 | −0.839664 | −0.419832 | − | 0.907602i | \(-0.637911\pi\) | ||||
−0.419832 | + | 0.907602i | \(0.637911\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 6.00000 | + | 10.3923i | 0.503509 | + | 0.872103i | ||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.82843 | + | 4.89898i | 0.234888 | + | 0.406838i | ||||
\(146\) | −1.41421 | −0.117041 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 10.0000 | 0.821995 | ||||||||
\(149\) | 5.00000 | + | 8.66025i | 0.409616 | + | 0.709476i | 0.994847 | − | 0.101391i | \(-0.0323294\pi\) |
−0.585231 | + | 0.810867i | \(0.698996\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.00000 | − | 13.8564i | 0.651031 | − | 1.12762i | −0.331842 | − | 0.943335i | \(-0.607670\pi\) |
0.982873 | − | 0.184284i | \(-0.0589965\pi\) | |||||||
\(152\) | 3.53553 | + | 6.12372i | 0.286770 | + | 0.496700i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −24.0000 | −1.92773 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.65685 | + | 9.79796i | −0.451466 | + | 0.781962i | −0.998477 | − | 0.0551630i | \(-0.982432\pi\) |
0.547011 | + | 0.837125i | \(0.315765\pi\) | |||||||
\(158\) | −2.00000 | + | 3.46410i | −0.159111 | + | 0.275589i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.82843 | −0.223607 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.00000 | − | 8.66025i | −0.391630 | − | 0.678323i | 0.601035 | − | 0.799223i | \(-0.294755\pi\) |
−0.992665 | + | 0.120900i | \(0.961422\pi\) | |||||||
\(164\) | 4.94975 | − | 8.57321i | 0.386510 | − | 0.669456i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.94975 | + | 8.57321i | 0.384175 | + | 0.665410i | ||||
\(167\) | −19.7990 | −1.53209 | −0.766046 | − | 0.642786i | \(-0.777779\pi\) | ||||
−0.766046 | + | 0.642786i | \(0.777779\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −13.0000 | −1.00000 | ||||||||
\(170\) | −2.00000 | − | 3.46410i | −0.153393 | − | 0.265684i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.00000 | + | 1.73205i | −0.0762493 | + | 0.132068i | ||||
\(173\) | 8.48528 | + | 14.6969i | 0.645124 | + | 1.11739i | 0.984273 | + | 0.176655i | \(0.0565276\pi\) |
−0.339149 | + | 0.940733i | \(0.610139\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.00000 | 0.150756 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.53553 | + | 6.12372i | −0.264999 | + | 0.458993i | ||||
\(179\) | 6.00000 | − | 10.3923i | 0.448461 | − | 0.776757i | −0.549825 | − | 0.835280i | \(-0.685306\pi\) |
0.998286 | + | 0.0585225i | \(0.0186389\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.00000 | + | 3.46410i | 0.147442 | + | 0.255377i | ||||
\(185\) | −14.1421 | + | 24.4949i | −1.03975 | + | 1.80090i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.41421 | + | 2.44949i | 0.103418 | + | 0.179124i | ||||
\(188\) | 2.82843 | 0.206284 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −20.0000 | −1.45095 | ||||||||
\(191\) | −2.00000 | − | 3.46410i | −0.144715 | − | 0.250654i | 0.784552 | − | 0.620063i | \(-0.212893\pi\) |
−0.929267 | + | 0.369410i | \(0.879560\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.00000 | − | 13.8564i | 0.575853 | − | 0.997406i | −0.420096 | − | 0.907480i | \(-0.638004\pi\) |
0.995948 | − | 0.0899262i | \(-0.0286631\pi\) | |||||||
\(194\) | −4.94975 | − | 8.57321i | −0.355371 | − | 0.615521i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.00000 | −0.142494 | −0.0712470 | − | 0.997459i | \(-0.522698\pi\) | ||||
−0.0712470 | + | 0.997459i | \(0.522698\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.24264 | − | 7.34847i | 0.300753 | − | 0.520919i | −0.675554 | − | 0.737311i | \(-0.736095\pi\) |
0.976307 | + | 0.216391i | \(0.0694287\pi\) | |||||||
\(200\) | 1.50000 | − | 2.59808i | 0.106066 | − | 0.183712i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.48528 | −0.597022 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 14.0000 | + | 24.2487i | 0.977802 | + | 1.69360i | ||||
\(206\) | −1.41421 | + | 2.44949i | −0.0985329 | + | 0.170664i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 14.1421 | 0.978232 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −12.0000 | −0.826114 | −0.413057 | − | 0.910705i | \(-0.635539\pi\) | ||||
−0.413057 | + | 0.910705i | \(0.635539\pi\) | |||||||
\(212\) | −1.00000 | − | 1.73205i | −0.0686803 | − | 0.118958i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.00000 | − | 3.46410i | 0.136717 | − | 0.236801i | ||||
\(215\) | −2.82843 | − | 4.89898i | −0.192897 | − | 0.334108i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 2.00000 | 0.135457 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.82843 | + | 4.89898i | −0.190693 | + | 0.330289i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.00000 | + | 10.3923i | 0.399114 | + | 0.691286i | ||||
\(227\) | 10.6066 | − | 18.3712i | 0.703985 | − | 1.21934i | −0.263072 | − | 0.964776i | \(-0.584736\pi\) |
0.967057 | − | 0.254561i | \(-0.0819311\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.48528 | − | 14.6969i | −0.560723 | − | 0.971201i | −0.997434 | − | 0.0715988i | \(-0.977190\pi\) |
0.436710 | − | 0.899602i | \(-0.356143\pi\) | |||||||
\(230\) | −11.3137 | −0.746004 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 2.00000 | 0.131306 | ||||||||
\(233\) | 12.0000 | + | 20.7846i | 0.786146 | + | 1.36165i | 0.928312 | + | 0.371802i | \(0.121260\pi\) |
−0.142166 | + | 0.989843i | \(0.545407\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.00000 | + | 6.92820i | −0.260931 | + | 0.451946i | ||||
\(236\) | 0.707107 | + | 1.22474i | 0.0460287 | + | 0.0797241i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 12.0000 | 0.776215 | 0.388108 | − | 0.921614i | \(-0.373129\pi\) | ||||
0.388108 | + | 0.921614i | \(0.373129\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.6066 | + | 18.3712i | −0.683231 | + | 1.18339i | 0.290758 | + | 0.956797i | \(0.406093\pi\) |
−0.973989 | + | 0.226595i | \(0.927241\pi\) | |||||||
\(242\) | −3.50000 | + | 6.06218i | −0.224989 | + | 0.389692i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.82843 | −0.181071 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −4.24264 | + | 7.34847i | −0.269408 | + | 0.466628i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.82843 | − | 4.89898i | −0.178885 | − | 0.309839i | ||||
\(251\) | 9.89949 | 0.624851 | 0.312425 | − | 0.949942i | \(-0.398859\pi\) | ||||
0.312425 | + | 0.949942i | \(0.398859\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.00000 | 0.502956 | ||||||||
\(254\) | 8.00000 | + | 13.8564i | 0.501965 | + | 0.869428i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −6.36396 | − | 11.0227i | −0.396973 | − | 0.687577i | 0.596378 | − | 0.802704i | \(-0.296606\pi\) |
−0.993351 | + | 0.115126i | \(0.963273\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 6.36396 | − | 11.0227i | 0.393167 | − | 0.680985i | ||||
\(263\) | 6.00000 | − | 10.3923i | 0.369976 | − | 0.640817i | −0.619586 | − | 0.784929i | \(-0.712699\pi\) |
0.989561 | + | 0.144112i | \(0.0460326\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.65685 | 0.347498 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.00000 | − | 10.3923i | −0.366508 | − | 0.634811i | ||||
\(269\) | 5.65685 | − | 9.79796i | 0.344904 | − | 0.597392i | −0.640432 | − | 0.768015i | \(-0.721245\pi\) |
0.985336 | + | 0.170623i | \(0.0545780\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.3137 | + | 19.5959i | 0.687259 | + | 1.19037i | 0.972721 | + | 0.231977i | \(0.0745195\pi\) |
−0.285462 | + | 0.958390i | \(0.592147\pi\) | |||||||
\(272\) | −1.41421 | −0.0857493 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 12.0000 | 0.724947 | ||||||||
\(275\) | −3.00000 | − | 5.19615i | −0.180907 | − | 0.313340i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.00000 | − | 1.73205i | 0.0600842 | − | 0.104069i | −0.834419 | − | 0.551131i | \(-0.814196\pi\) |
0.894503 | + | 0.447062i | \(0.147530\pi\) | |||||||
\(278\) | −4.94975 | − | 8.57321i | −0.296866 | − | 0.514187i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −16.0000 | −0.954480 | −0.477240 | − | 0.878773i | \(-0.658363\pi\) | ||||
−0.477240 | + | 0.878773i | \(0.658363\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.707107 | + | 1.22474i | −0.0420331 | + | 0.0728035i | −0.886277 | − | 0.463156i | \(-0.846717\pi\) |
0.844243 | + | 0.535960i | \(0.180050\pi\) | |||||||
\(284\) | −6.00000 | + | 10.3923i | −0.356034 | + | 0.616670i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.50000 | + | 12.9904i | 0.441176 | + | 0.764140i | ||||
\(290\) | −2.82843 | + | 4.89898i | −0.166091 | + | 0.287678i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −0.707107 | − | 1.22474i | −0.0413803 | − | 0.0716728i | ||||
\(293\) | −19.7990 | −1.15667 | −0.578335 | − | 0.815800i | \(-0.696297\pi\) | ||||
−0.578335 | + | 0.815800i | \(0.696297\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −4.00000 | −0.232889 | ||||||||
\(296\) | 5.00000 | + | 8.66025i | 0.290619 | + | 0.503367i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.00000 | + | 8.66025i | −0.289642 | + | 0.501675i | ||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 16.0000 | 0.920697 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.53553 | + | 6.12372i | −0.202777 | + | 0.351220i | ||||
\(305\) | 4.00000 | − | 6.92820i | 0.229039 | − | 0.396708i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.89949 | 0.564994 | 0.282497 | − | 0.959268i | \(-0.408837\pi\) | ||||
0.282497 | + | 0.959268i | \(0.408837\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −12.0000 | − | 20.7846i | −0.681554 | − | 1.18049i | ||||
\(311\) | 5.65685 | − | 9.79796i | 0.320771 | − | 0.555591i | −0.659877 | − | 0.751374i | \(-0.729391\pi\) |
0.980647 | + | 0.195783i | \(0.0627248\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.36396 | + | 11.0227i | 0.359712 | + | 0.623040i | 0.987913 | − | 0.155012i | \(-0.0495415\pi\) |
−0.628200 | + | 0.778052i | \(0.716208\pi\) | |||||||
\(314\) | −11.3137 | −0.638470 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.00000 | −0.225018 | ||||||||
\(317\) | 5.00000 | + | 8.66025i | 0.280828 | + | 0.486408i | 0.971589 | − | 0.236675i | \(-0.0760576\pi\) |
−0.690761 | + | 0.723083i | \(0.742724\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.00000 | − | 3.46410i | 0.111979 | − | 0.193952i | ||||
\(320\) | −1.41421 | − | 2.44949i | −0.0790569 | − | 0.136931i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −10.0000 | −0.556415 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 5.00000 | − | 8.66025i | 0.276924 | − | 0.479647i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 9.89949 | 0.546608 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.00000 | − | 8.66025i | −0.274825 | − | 0.476011i | 0.695266 | − | 0.718752i | \(-0.255287\pi\) |
−0.970091 | + | 0.242742i | \(0.921953\pi\) | |||||||
\(332\) | −4.94975 | + | 8.57321i | −0.271653 | + | 0.470516i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −9.89949 | − | 17.1464i | −0.541676 | − | 0.938211i | ||||
\(335\) | 33.9411 | 1.85440 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.00000 | 0.108947 | 0.0544735 | − | 0.998515i | \(-0.482652\pi\) | ||||
0.0544735 | + | 0.998515i | \(0.482652\pi\) | |||||||
\(338\) | −6.50000 | − | 11.2583i | −0.353553 | − | 0.612372i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.00000 | − | 3.46410i | 0.108465 | − | 0.187867i | ||||
\(341\) | 8.48528 | + | 14.6969i | 0.459504 | + | 0.795884i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −2.00000 | −0.107833 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.48528 | + | 14.6969i | −0.456172 | + | 0.790112i | ||||
\(347\) | −15.0000 | + | 25.9808i | −0.805242 | + | 1.39472i | 0.110885 | + | 0.993833i | \(0.464631\pi\) |
−0.916127 | + | 0.400887i | \(0.868702\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.00000 | + | 1.73205i | 0.0533002 | + | 0.0923186i | ||||
\(353\) | 0.707107 | − | 1.22474i | 0.0376355 | − | 0.0651866i | −0.846594 | − | 0.532239i | \(-0.821351\pi\) |
0.884230 | + | 0.467052i | \(0.154684\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −16.9706 | − | 29.3939i | −0.900704 | − | 1.56007i | ||||
\(356\) | −7.07107 | −0.374766 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 12.0000 | 0.634220 | ||||||||
\(359\) | −16.0000 | − | 27.7128i | −0.844448 | − | 1.46263i | −0.886100 | − | 0.463494i | \(-0.846596\pi\) |
0.0416523 | − | 0.999132i | \(-0.486738\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.5000 | + | 26.8468i | −0.815789 | + | 1.41299i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.00000 | 0.209370 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 14.1421 | − | 24.4949i | 0.738213 | − | 1.27862i | −0.215086 | − | 0.976595i | \(-0.569003\pi\) |
0.953299 | − | 0.302028i | \(-0.0976636\pi\) | |||||||
\(368\) | −2.00000 | + | 3.46410i | −0.104257 | + | 0.180579i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −28.2843 | −1.47043 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.00000 | − | 8.66025i | −0.258890 | − | 0.448411i | 0.707055 | − | 0.707159i | \(-0.250023\pi\) |
−0.965945 | + | 0.258748i | \(0.916690\pi\) | |||||||
\(374\) | −1.41421 | + | 2.44949i | −0.0731272 | + | 0.126660i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.41421 | + | 2.44949i | 0.0729325 | + | 0.126323i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −26.0000 | −1.33553 | −0.667765 | − | 0.744372i | \(-0.732749\pi\) | ||||
−0.667765 | + | 0.744372i | \(0.732749\pi\) | |||||||
\(380\) | −10.0000 | − | 17.3205i | −0.512989 | − | 0.888523i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 2.00000 | − | 3.46410i | 0.102329 | − | 0.177239i | ||||
\(383\) | 18.3848 | + | 31.8434i | 0.939418 | + | 1.62712i | 0.766559 | + | 0.642173i | \(0.221967\pi\) |
0.172859 | + | 0.984947i | \(0.444700\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 16.0000 | 0.814379 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 4.94975 | − | 8.57321i | 0.251285 | − | 0.435239i | ||||
\(389\) | 13.0000 | − | 22.5167i | 0.659126 | − | 1.14164i | −0.321716 | − | 0.946836i | \(-0.604260\pi\) |
0.980842 | − | 0.194804i | \(-0.0624070\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.65685 | −0.286079 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.00000 | − | 1.73205i | −0.0503793 | − | 0.0872595i | ||||
\(395\) | 5.65685 | − | 9.79796i | 0.284627 | − | 0.492989i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.3137 | + | 19.5959i | 0.567819 | + | 0.983491i | 0.996781 | + | 0.0801687i | \(0.0255459\pi\) |
−0.428963 | + | 0.903322i | \(0.641121\pi\) | |||||||
\(398\) | 8.48528 | 0.425329 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 3.00000 | 0.150000 | ||||||||
\(401\) | −9.00000 | − | 15.5885i | −0.449439 | − | 0.778450i | 0.548911 | − | 0.835881i | \(-0.315043\pi\) |
−0.998350 | + | 0.0574304i | \(0.981709\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −4.24264 | − | 7.34847i | −0.211079 | − | 0.365600i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 20.0000 | 0.991363 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.0919 | − | 33.0681i | 0.944033 | − | 1.63511i | 0.186357 | − | 0.982482i | \(-0.440332\pi\) |
0.757676 | − | 0.652631i | \(-0.226335\pi\) | |||||||
\(410\) | −14.0000 | + | 24.2487i | −0.691411 | + | 1.19756i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.82843 | −0.139347 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.0000 | − | 24.2487i | −0.687233 | − | 1.19032i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.07107 | + | 12.2474i | 0.345857 | + | 0.599042i | ||||
\(419\) | −9.89949 | −0.483622 | −0.241811 | − | 0.970323i | \(-0.577741\pi\) | ||||
−0.241811 | + | 0.970323i | \(0.577741\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 30.0000 | 1.46211 | 0.731055 | − | 0.682318i | \(-0.239028\pi\) | ||||
0.731055 | + | 0.682318i | \(0.239028\pi\) | |||||||
\(422\) | −6.00000 | − | 10.3923i | −0.292075 | − | 0.505889i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.00000 | − | 1.73205i | 0.0485643 | − | 0.0841158i | ||||
\(425\) | 2.12132 | + | 3.67423i | 0.102899 | + | 0.178227i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 4.00000 | 0.193347 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.82843 | − | 4.89898i | 0.136399 | − | 0.236250i | ||||
\(431\) | 6.00000 | − | 10.3923i | 0.289010 | − | 0.500580i | −0.684564 | − | 0.728953i | \(-0.740007\pi\) |
0.973574 | + | 0.228373i | \(0.0733406\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 29.6985 | 1.42722 | 0.713609 | − | 0.700544i | \(-0.247059\pi\) | ||||
0.713609 | + | 0.700544i | \(0.247059\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.00000 | + | 1.73205i | 0.0478913 | + | 0.0829502i | ||||
\(437\) | −14.1421 | + | 24.4949i | −0.676510 | + | 1.17175i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.48528 | − | 14.6969i | −0.404980 | − | 0.701447i | 0.589339 | − | 0.807886i | \(-0.299388\pi\) |
−0.994319 | + | 0.106439i | \(0.966055\pi\) | |||||||
\(440\) | −5.65685 | −0.269680 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.00000 | − | 3.46410i | −0.0950229 | − | 0.164584i | 0.814595 | − | 0.580030i | \(-0.196959\pi\) |
−0.909618 | + | 0.415445i | \(0.863626\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.0000 | − | 17.3205i | 0.474045 | − | 0.821071i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −30.0000 | −1.41579 | −0.707894 | − | 0.706319i | \(-0.750354\pi\) | ||||
−0.707894 | + | 0.706319i | \(0.750354\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.89949 | − | 17.1464i | 0.466149 | − | 0.807394i | ||||
\(452\) | −6.00000 | + | 10.3923i | −0.282216 | + | 0.488813i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 21.2132 | 0.995585 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −12.0000 | − | 20.7846i | −0.561336 | − | 0.972263i | −0.997380 | − | 0.0723376i | \(-0.976954\pi\) |
0.436044 | − | 0.899925i | \(-0.356379\pi\) | |||||||
\(458\) | 8.48528 | − | 14.6969i | 0.396491 | − | 0.686743i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −5.65685 | − | 9.79796i | −0.263752 | − | 0.456832i | ||||
\(461\) | 39.5980 | 1.84426 | 0.922131 | − | 0.386878i | \(-0.126447\pi\) | ||||
0.922131 | + | 0.386878i | \(0.126447\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.0000 | 0.743583 | 0.371792 | − | 0.928316i | \(-0.378744\pi\) | ||||
0.371792 | + | 0.928316i | \(0.378744\pi\) | |||||||
\(464\) | 1.00000 | + | 1.73205i | 0.0464238 | + | 0.0804084i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −12.0000 | + | 20.7846i | −0.555889 | + | 0.962828i | ||||
\(467\) | −16.2635 | − | 28.1691i | −0.752583 | − | 1.30351i | −0.946567 | − | 0.322507i | \(-0.895474\pi\) |
0.193984 | − | 0.981005i | \(-0.437859\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −8.00000 | −0.369012 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −0.707107 | + | 1.22474i | −0.0325472 | + | 0.0563735i | ||||
\(473\) | −2.00000 | + | 3.46410i | −0.0919601 | + | 0.159280i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 21.2132 | 0.973329 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.00000 | + | 10.3923i | 0.274434 | + | 0.475333i | ||||
\(479\) | 15.5563 | − | 26.9444i | 0.710788 | − | 1.23112i | −0.253774 | − | 0.967264i | \(-0.581672\pi\) |
0.964562 | − | 0.263857i | \(-0.0849947\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −21.2132 | −0.966235 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −7.00000 | −0.318182 | ||||||||
\(485\) | 14.0000 | + | 24.2487i | 0.635707 | + | 1.10108i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −6.00000 | + | 10.3923i | −0.271886 | + | 0.470920i | −0.969345 | − | 0.245705i | \(-0.920981\pi\) |
0.697459 | + | 0.716625i | \(0.254314\pi\) | |||||||
\(488\) | −1.41421 | − | 2.44949i | −0.0640184 | − | 0.110883i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 12.0000 | 0.541552 | 0.270776 | − | 0.962642i | \(-0.412720\pi\) | ||||
0.270776 | + | 0.962642i | \(0.412720\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.41421 | + | 2.44949i | −0.0636930 | + | 0.110319i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −8.48528 | −0.381000 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.00000 | + | 3.46410i | 0.0895323 | + | 0.155074i | 0.907314 | − | 0.420455i | \(-0.138129\pi\) |
−0.817781 | + | 0.575529i | \(0.804796\pi\) | |||||||
\(500\) | 2.82843 | − | 4.89898i | 0.126491 | − | 0.219089i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 4.94975 | + | 8.57321i | 0.220918 | + | 0.382641i | ||||
\(503\) | 39.5980 | 1.76559 | 0.882793 | − | 0.469762i | \(-0.155660\pi\) | ||||
0.882793 | + | 0.469762i | \(0.155660\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 24.0000 | 1.06799 | ||||||||
\(506\) | 4.00000 | + | 6.92820i | 0.177822 | + | 0.307996i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.00000 | + | 13.8564i | −0.354943 | + | 0.614779i | ||||
\(509\) | −11.3137 | − | 19.5959i | −0.501471 | − | 0.868574i | −0.999999 | − | 0.00169976i | \(-0.999459\pi\) |
0.498527 | − | 0.866874i | \(-0.333874\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.36396 | − | 11.0227i | 0.280702 | − | 0.486191i | ||||
\(515\) | 4.00000 | − | 6.92820i | 0.176261 | − | 0.305293i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.65685 | 0.248788 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.707107 | − | 1.22474i | 0.0309789 | − | 0.0536570i | −0.850120 | − | 0.526589i | \(-0.823471\pi\) |
0.881099 | + | 0.472931i | \(0.156804\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 6.36396 | + | 11.0227i | 0.278277 | + | 0.481989i | 0.970957 | − | 0.239256i | \(-0.0769035\pi\) |
−0.692680 | + | 0.721245i | \(0.743570\pi\) | |||||||
\(524\) | 12.7279 | 0.556022 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.0000 | 0.523225 | ||||||||
\(527\) | −6.00000 | − | 10.3923i | −0.261364 | − | 0.452696i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | − | 6.06218i | 0.152174 | − | 0.263573i | ||||
\(530\) | 2.82843 | + | 4.89898i | 0.122859 | + | 0.212798i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.65685 | + | 9.79796i | −0.244567 | + | 0.423603i | ||||
\(536\) | 6.00000 | − | 10.3923i | 0.259161 | − | 0.448879i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 11.3137 | 0.487769 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −5.00000 | − | 8.66025i | −0.214967 | − | 0.372333i | 0.738296 | − | 0.674477i | \(-0.235631\pi\) |
−0.953262 | + | 0.302144i | \(0.902298\pi\) | |||||||
\(542\) | −11.3137 | + | 19.5959i | −0.485965 | + | 0.841717i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.707107 | − | 1.22474i | −0.0303170 | − | 0.0525105i | ||||
\(545\) | −5.65685 | −0.242313 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.0000 | −1.11168 | −0.555840 | − | 0.831289i | \(-0.687603\pi\) | ||||
−0.555840 | + | 0.831289i | \(0.687603\pi\) | |||||||
\(548\) | 6.00000 | + | 10.3923i | 0.256307 | + | 0.443937i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 3.00000 | − | 5.19615i | 0.127920 | − | 0.221565i | ||||
\(551\) | 7.07107 | + | 12.2474i | 0.301238 | + | 0.521759i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 2.00000 | 0.0849719 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.94975 | − | 8.57321i | 0.209916 | − | 0.363585i | ||||
\(557\) | −15.0000 | + | 25.9808i | −0.635570 | + | 1.10084i | 0.350824 | + | 0.936442i | \(0.385902\pi\) |
−0.986394 | + | 0.164399i | \(0.947432\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −8.00000 | − | 13.8564i | −0.337460 | − | 0.584497i | ||||
\(563\) | 0.707107 | − | 1.22474i | 0.0298010 | − | 0.0516168i | −0.850740 | − | 0.525586i | \(-0.823846\pi\) |
0.880541 | + | 0.473970i | \(0.157179\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −16.9706 | − | 29.3939i | −0.713957 | − | 1.23661i | ||||
\(566\) | −1.41421 | −0.0594438 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.0000 | −0.503509 | ||||||||
\(569\) | 5.00000 | + | 8.66025i | 0.209611 | + | 0.363057i | 0.951592 | − | 0.307364i | \(-0.0994469\pi\) |
−0.741981 | + | 0.670421i | \(0.766114\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.00000 | − | 1.73205i | 0.0418487 | − | 0.0724841i | −0.844342 | − | 0.535804i | \(-0.820009\pi\) |
0.886191 | + | 0.463320i | \(0.153342\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 12.0000 | 0.500435 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.6066 | + | 18.3712i | −0.441559 | + | 0.764802i | −0.997805 | − | 0.0662152i | \(-0.978908\pi\) |
0.556247 | + | 0.831017i | \(0.312241\pi\) | |||||||
\(578\) | −7.50000 | + | 12.9904i | −0.311959 | + | 0.540329i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.65685 | −0.234888 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.00000 | − | 3.46410i | −0.0828315 | − | 0.143468i | ||||
\(584\) | 0.707107 | − | 1.22474i | 0.0292603 | − | 0.0506803i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −9.89949 | − | 17.1464i | −0.408944 | − | 0.708312i | ||||
\(587\) | −29.6985 | −1.22579 | −0.612894 | − | 0.790165i | \(-0.709995\pi\) | ||||
−0.612894 | + | 0.790165i | \(0.709995\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −60.0000 | −2.47226 | ||||||||
\(590\) | −2.00000 | − | 3.46410i | −0.0823387 | − | 0.142615i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −5.00000 | + | 8.66025i | −0.205499 | + | 0.355934i | ||||
\(593\) | 3.53553 | + | 6.12372i | 0.145187 | + | 0.251471i | 0.929443 | − | 0.368967i | \(-0.120288\pi\) |
−0.784256 | + | 0.620438i | \(0.786955\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −10.0000 | −0.409616 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −8.00000 | + | 13.8564i | −0.326871 | + | 0.566157i | −0.981889 | − | 0.189456i | \(-0.939328\pi\) |
0.655018 | + | 0.755613i | \(0.272661\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −29.6985 | −1.21143 | −0.605713 | − | 0.795683i | \(-0.707112\pi\) | ||||
−0.605713 | + | 0.795683i | \(0.707112\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 8.00000 | + | 13.8564i | 0.325515 | + | 0.563809i | ||||
\(605\) | 9.89949 | − | 17.1464i | 0.402472 | − | 0.697101i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −8.48528 | − | 14.6969i | −0.344407 | − | 0.596530i | 0.640839 | − | 0.767675i | \(-0.278587\pi\) |
−0.985246 | + | 0.171145i | \(0.945253\pi\) | |||||||
\(608\) | −7.07107 | −0.286770 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 8.00000 | 0.323911 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 15.0000 | − | 25.9808i | 0.605844 | − | 1.04935i | −0.386073 | − | 0.922468i | \(-0.626169\pi\) |
0.991917 | − | 0.126885i | \(-0.0404979\pi\) | |||||||
\(614\) | 4.94975 | + | 8.57321i | 0.199756 | + | 0.345987i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 26.0000 | 1.04672 | 0.523360 | − | 0.852111i | \(-0.324678\pi\) | ||||
0.523360 | + | 0.852111i | \(0.324678\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.19239 | − | 15.9217i | 0.369473 | − | 0.639946i | −0.620010 | − | 0.784594i | \(-0.712871\pi\) |
0.989483 | + | 0.144647i | \(0.0462048\pi\) | |||||||
\(620\) | 12.0000 | − | 20.7846i | 0.481932 | − | 0.834730i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 11.3137 | 0.453638 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.5000 | + | 26.8468i | 0.620000 | + | 1.07387i | ||||
\(626\) | −6.36396 | + | 11.0227i | −0.254355 | + | 0.440556i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −5.65685 | − | 9.79796i | −0.225733 | − | 0.390981i | ||||
\(629\) | −14.1421 | −0.563884 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 44.0000 | 1.75161 | 0.875806 | − | 0.482663i | \(-0.160330\pi\) | ||||
0.875806 | + | 0.482663i | \(0.160330\pi\) | |||||||
\(632\) | −2.00000 | − | 3.46410i | −0.0795557 | − | 0.137795i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.00000 | + | 8.66025i | −0.198575 | + | 0.343943i | ||||
\(635\) | −22.6274 | − | 39.1918i | −0.897942 | − | 1.55528i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 4.00000 | 0.158362 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.41421 | − | 2.44949i | 0.0559017 | − | 0.0968246i | ||||
\(641\) | 13.0000 | − | 22.5167i | 0.513469 | − | 0.889355i | −0.486409 | − | 0.873731i | \(-0.661693\pi\) |
0.999878 | − | 0.0156233i | \(-0.00497325\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9.89949 | −0.390398 | −0.195199 | − | 0.980764i | \(-0.562535\pi\) | ||||
−0.195199 | + | 0.980764i | \(0.562535\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −5.00000 | − | 8.66025i | −0.196722 | − | 0.340733i | ||||
\(647\) | −4.24264 | + | 7.34847i | −0.166795 | + | 0.288898i | −0.937291 | − | 0.348547i | \(-0.886675\pi\) |
0.770496 | + | 0.637445i | \(0.220009\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.41421 | + | 2.44949i | 0.0555127 | + | 0.0961509i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.0000 | 0.391630 | ||||||||
\(653\) | −9.00000 | − | 15.5885i | −0.352197 | − | 0.610023i | 0.634437 | − | 0.772975i | \(-0.281232\pi\) |
−0.986634 | + | 0.162951i | \(0.947899\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −18.0000 | + | 31.1769i | −0.703318 | + | 1.21818i | ||||
\(656\) | 4.94975 | + | 8.57321i | 0.193255 | + | 0.334728i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −30.0000 | −1.16863 | −0.584317 | − | 0.811525i | \(-0.698638\pi\) | ||||
−0.584317 | + | 0.811525i | \(0.698638\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 4.24264 | − | 7.34847i | 0.165020 | − | 0.285822i | −0.771643 | − | 0.636056i | \(-0.780565\pi\) |
0.936662 | + | 0.350234i | \(0.113898\pi\) | |||||||
\(662\) | 5.00000 | − | 8.66025i | 0.194331 | − | 0.336590i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.89949 | −0.384175 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.00000 | + | 6.92820i | 0.154881 | + | 0.268261i | ||||
\(668\) | 9.89949 | − | 17.1464i | 0.383023 | − | 0.663415i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 16.9706 | + | 29.3939i | 0.655630 | + | 1.13558i | ||||
\(671\) | −5.65685 | −0.218380 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.0000 | −0.462566 | −0.231283 | − | 0.972887i | \(-0.574292\pi\) | ||||
−0.231283 | + | 0.972887i | \(0.574292\pi\) | |||||||
\(674\) | 1.00000 | + | 1.73205i | 0.0385186 | + | 0.0667161i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 6.50000 | − | 11.2583i | 0.250000 | − | 0.433013i | ||||
\(677\) | 8.48528 | + | 14.6969i | 0.326116 | + | 0.564849i | 0.981738 | − | 0.190240i | \(-0.0609267\pi\) |
−0.655622 | + | 0.755090i | \(0.727593\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 4.00000 | 0.153393 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −8.48528 | + | 14.6969i | −0.324918 | + | 0.562775i | ||||
\(683\) | 6.00000 | − | 10.3923i | 0.229584 | − | 0.397650i | −0.728101 | − | 0.685470i | \(-0.759597\pi\) |
0.957685 | + | 0.287819i | \(0.0929302\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −33.9411 | −1.29682 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.00000 | − | 1.73205i | −0.0381246 | − | 0.0660338i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.36396 | + | 11.0227i | 0.242096 | + | 0.419323i | 0.961311 | − | 0.275464i | \(-0.0888316\pi\) |
−0.719215 | + | 0.694788i | \(0.755498\pi\) | |||||||
\(692\) | −16.9706 | −0.645124 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −30.0000 | −1.13878 | ||||||||
\(695\) | 14.0000 | + | 24.2487i | 0.531050 | + | 0.919806i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.00000 | + | 12.1244i | −0.265144 | + | 0.459243i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −30.0000 | −1.13308 | −0.566542 | − | 0.824033i | \(-0.691719\pi\) | ||||
−0.566542 | + | 0.824033i | \(0.691719\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −35.3553 | + | 61.2372i | −1.33345 | + | 2.30961i | ||||
\(704\) | −1.00000 | + | 1.73205i | −0.0376889 | + | 0.0652791i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.41421 | 0.0532246 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −5.00000 | − | 8.66025i | −0.187779 | − | 0.325243i | 0.756730 | − | 0.653727i | \(-0.226796\pi\) |
−0.944509 | + | 0.328484i | \(0.893462\pi\) | |||||||
\(710\) | 16.9706 | − | 29.3939i | 0.636894 | − | 1.10313i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.53553 | − | 6.12372i | −0.132500 | − | 0.229496i | ||||
\(713\) | −33.9411 | −1.27111 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 6.00000 | + | 10.3923i | 0.224231 | + | 0.388379i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 16.0000 | − | 27.7128i | 0.597115 | − | 1.03423i | ||||
\(719\) | −1.41421 | − | 2.44949i | −0.0527413 | − | 0.0913506i | 0.838449 | − | 0.544979i | \(-0.183463\pi\) |
−0.891191 | + | 0.453629i | \(0.850129\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −31.0000 | −1.15370 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 3.00000 | − | 5.19615i | 0.111417 | − | 0.192980i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.7990 | 0.734304 | 0.367152 | − | 0.930161i | \(-0.380333\pi\) | ||||
0.367152 | + | 0.930161i | \(0.380333\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 2.00000 | + | 3.46410i | 0.0740233 | + | 0.128212i | ||||
\(731\) | 1.41421 | − | 2.44949i | 0.0523066 | − | 0.0905977i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 21.2132 | + | 36.7423i | 0.783528 | + | 1.35711i | 0.929875 | + | 0.367876i | \(0.119915\pi\) |
−0.146347 | + | 0.989233i | \(0.546752\pi\) | |||||||
\(734\) | 28.2843 | 1.04399 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.00000 | −0.147442 | ||||||||
\(737\) | −12.0000 | − | 20.7846i | −0.442026 | − | 0.765611i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.0000 | − | 25.9808i | 0.551784 | − | 0.955718i | −0.446362 | − | 0.894852i | \(-0.647281\pi\) |
0.998146 | − | 0.0608653i | \(-0.0193860\pi\) | |||||||
\(740\) | −14.1421 | − | 24.4949i | −0.519875 | − | 0.900450i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −16.0000 | −0.586983 | −0.293492 | − | 0.955962i | \(-0.594817\pi\) | ||||
−0.293492 | + | 0.955962i | \(0.594817\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 14.1421 | − | 24.4949i | 0.518128 | − | 0.897424i | ||||
\(746\) | 5.00000 | − | 8.66025i | 0.183063 | − | 0.317074i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.82843 | −0.103418 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.00000 | + | 3.46410i | 0.0729810 | + | 0.126407i | 0.900207 | − | 0.435463i | \(-0.143415\pi\) |
−0.827225 | + | 0.561870i | \(0.810082\pi\) | |||||||
\(752\) | −1.41421 | + | 2.44949i | −0.0515711 | + | 0.0893237i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −45.2548 | −1.64699 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.00000 | 0.0726912 | 0.0363456 | − | 0.999339i | \(-0.488428\pi\) | ||||
0.0363456 | + | 0.999339i | \(0.488428\pi\) | |||||||
\(758\) | −13.0000 | − | 22.5167i | −0.472181 | − | 0.817842i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 10.0000 | − | 17.3205i | 0.362738 | − | 0.628281i | ||||
\(761\) | 3.53553 | + | 6.12372i | 0.128163 | + | 0.221985i | 0.922965 | − | 0.384884i | \(-0.125759\pi\) |
−0.794802 | + | 0.606869i | \(0.792425\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 4.00000 | 0.144715 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −18.3848 | + | 31.8434i | −0.664269 | + | 1.15055i | ||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −29.6985 | −1.07095 | −0.535477 | − | 0.844550i | \(-0.679868\pi\) | ||||
−0.535477 | + | 0.844550i | \(0.679868\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 8.00000 | + | 13.8564i | 0.287926 | + | 0.498703i | ||||
\(773\) | −24.0416 | + | 41.6413i | −0.864717 | + | 1.49773i | 0.00261021 | + | 0.999997i | \(0.499169\pi\) |
−0.867328 | + | 0.497738i | \(0.834164\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 12.7279 | + | 22.0454i | 0.457200 | + | 0.791894i | ||||
\(776\) | 9.89949 | 0.355371 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 26.0000 | 0.932145 | ||||||||
\(779\) | 35.0000 | + | 60.6218i | 1.25401 | + | 2.17200i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −12.0000 | + | 20.7846i | −0.429394 | + | 0.743732i | ||||
\(782\) | −2.82843 | − | 4.89898i | −0.101144 | − | 0.175187i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 32.0000 | 1.14213 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.707107 | + | 1.22474i | −0.0252056 | + | 0.0436574i | −0.878353 | − | 0.478012i | \(-0.841357\pi\) |
0.853147 | + | 0.521670i | \(0.174691\pi\) | |||||||
\(788\) | 1.00000 | − | 1.73205i | 0.0356235 | − | 0.0617018i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 11.3137 | 0.402524 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −11.3137 | + | 19.5959i | −0.401508 | + | 0.695433i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.24264 | + | 7.34847i | 0.150376 | + | 0.260460i | ||||
\(797\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.00000 | −0.141510 | ||||||||
\(800\) | 1.50000 | + | 2.59808i | 0.0530330 | + | 0.0918559i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 9.00000 | − | 15.5885i | 0.317801 | − | 0.550448i | ||||
\(803\) | −1.41421 | − | 2.44949i | −0.0499065 | − | 0.0864406i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 4.24264 | − | 7.34847i | 0.149256 | − | 0.258518i | ||||
\(809\) | −8.00000 | + | 13.8564i | −0.281265 | + | 0.487165i | −0.971697 | − | 0.236232i | \(-0.924087\pi\) |
0.690432 | + | 0.723398i | \(0.257421\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 29.6985 | 1.04285 | 0.521427 | − | 0.853296i | \(-0.325400\pi\) | ||||
0.521427 | + | 0.853296i | \(0.325400\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.0000 | + | 17.3205i | 0.350500 | + | 0.607083i | ||||
\(815\) | −14.1421 | + | 24.4949i | −0.495377 | + | 0.858019i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.07107 | − | 12.2474i | −0.247385 | − | 0.428484i | ||||
\(818\) | 38.1838 | 1.33506 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −28.0000 | −0.977802 | ||||||||
\(821\) | −9.00000 | − | 15.5885i | −0.314102 | − | 0.544041i | 0.665144 | − | 0.746715i | \(-0.268370\pi\) |
−0.979246 | + | 0.202674i | \(0.935037\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −20.0000 | + | 34.6410i | −0.697156 | + | 1.20751i | 0.272292 | + | 0.962215i | \(0.412218\pi\) |
−0.969448 | + | 0.245295i | \(0.921115\pi\) | |||||||
\(824\) | −1.41421 | − | 2.44949i | −0.0492665 | − | 0.0853320i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.0000 | 0.417281 | 0.208640 | − | 0.977992i | \(-0.433096\pi\) | ||||
0.208640 | + | 0.977992i | \(0.433096\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.5563 | + | 26.9444i | −0.540294 | + | 0.935817i | 0.458593 | + | 0.888647i | \(0.348354\pi\) |
−0.998887 | + | 0.0471706i | \(0.984980\pi\) | |||||||
\(830\) | 14.0000 | − | 24.2487i | 0.485947 | − | 0.841685i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 28.0000 | + | 48.4974i | 0.968980 | + | 1.67832i | ||||
\(836\) | −7.07107 | + | 12.2474i | −0.244558 | + | 0.423587i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −4.94975 | − | 8.57321i | −0.170986 | − | 0.296157i | ||||
\(839\) | 19.7990 | 0.683537 | 0.341769 | − | 0.939784i | \(-0.388974\pi\) | ||||
0.341769 | + | 0.939784i | \(0.388974\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −25.0000 | −0.862069 | ||||||||
\(842\) | 15.0000 | + | 25.9808i | 0.516934 | + | 0.895356i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 6.00000 | − | 10.3923i | 0.206529 | − | 0.357718i | ||||
\(845\) | 18.3848 | + | 31.8434i | 0.632456 | + | 1.09545i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 2.00000 | 0.0686803 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.12132 | + | 3.67423i | −0.0727607 | + | 0.126025i | ||||
\(851\) | −20.0000 | + | 34.6410i | −0.685591 | + | 1.18748i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.00000 | + | 3.46410i | 0.0683586 | + | 0.118401i | ||||
\(857\) | −9.19239 | + | 15.9217i | −0.314006 | + | 0.543874i | −0.979226 | − | 0.202773i | \(-0.935005\pi\) |
0.665220 | + | 0.746648i | \(0.268338\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −13.4350 | − | 23.2702i | −0.458397 | − | 0.793967i | 0.540479 | − | 0.841357i | \(-0.318243\pi\) |
−0.998876 | + | 0.0473900i | \(0.984910\pi\) | |||||||
\(860\) | 5.65685 | 0.192897 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 12.0000 | 0.408722 | ||||||||
\(863\) | −2.00000 | − | 3.46410i | −0.0680808 | − | 0.117919i | 0.829976 | − | 0.557800i | \(-0.188354\pi\) |
−0.898056 | + | 0.439880i | \(0.855021\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 24.0000 | − | 41.5692i | 0.816024 | − | 1.41340i | ||||
\(866\) | 14.8492 | + | 25.7196i | 0.504598 | + | 0.873989i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −8.00000 | −0.271381 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | −1.00000 | + | 1.73205i | −0.0338643 | + | 0.0586546i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −28.2843 | −0.956730 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 23.0000 | + | 39.8372i | 0.776655 | + | 1.34521i | 0.933860 | + | 0.357640i | \(0.116418\pi\) |
−0.157205 | + | 0.987566i | \(0.550248\pi\) | |||||||
\(878\) | 8.48528 | − | 14.6969i | 0.286364 | − | 0.495998i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.82843 | − | 4.89898i | −0.0953463 | − | 0.165145i | ||||
\(881\) | 29.6985 | 1.00057 | 0.500284 | − | 0.865862i | \(-0.333229\pi\) | ||||
0.500284 | + | 0.865862i | \(0.333229\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 44.0000 | 1.48072 | 0.740359 | − | 0.672212i | \(-0.234656\pi\) | ||||
0.740359 | + | 0.672212i | \(0.234656\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 2.00000 | − | 3.46410i | 0.0671913 | − | 0.116379i | ||||
\(887\) | 18.3848 | + | 31.8434i | 0.617300 | + | 1.06920i | 0.989976 | + | 0.141234i | \(0.0451070\pi\) |
−0.372676 | + | 0.927962i | \(0.621560\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 20.0000 | 0.670402 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −10.0000 | + | 17.3205i | −0.334637 | + | 0.579609i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −33.9411 | −1.13453 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −15.0000 | − | 25.9808i | −0.500556 | − | 0.866989i | ||||
\(899\) | −8.48528 | + | 14.6969i | −0.283000 | + | 0.490170i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.41421 | + | 2.44949i | 0.0471143 | + | 0.0816043i | ||||
\(902\) | 19.7990 | 0.659234 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.0000 | −0.399114 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 22.0000 | − | 38.1051i | 0.730498 | − | 1.26526i | −0.226173 | − | 0.974087i | \(-0.572621\pi\) |
0.956671 | − | 0.291172i | \(-0.0940453\pi\) | |||||||
\(908\) | 10.6066 | + | 18.3712i | 0.351992 | + | 0.609669i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 40.0000 | 1.32526 | 0.662630 | − | 0.748947i | \(-0.269440\pi\) | ||||
0.662630 | + | 0.748947i | \(0.269440\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −9.89949 | + | 17.1464i | −0.327625 | + | 0.567464i | ||||
\(914\) | 12.0000 | − | 20.7846i | 0.396925 | − | 0.687494i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 16.9706 | 0.560723 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 16.0000 | + | 27.7128i | 0.527791 | + | 0.914161i | 0.999475 | + | 0.0323936i | \(0.0103130\pi\) |
−0.471684 | + | 0.881768i | \(0.656354\pi\) | |||||||
\(920\) | 5.65685 | − | 9.79796i | 0.186501 | − | 0.323029i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 19.7990 | + | 34.2929i | 0.652045 | + | 1.12938i | ||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 30.0000 | 0.986394 | ||||||||
\(926\) | 8.00000 | + | 13.8564i | 0.262896 | + | 0.455350i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.00000 | + | 1.73205i | −0.0328266 | + | 0.0568574i | ||||
\(929\) | −16.2635 | − | 28.1691i | −0.533587 | − | 0.924199i | −0.999230 | − | 0.0392269i | \(-0.987510\pi\) |
0.465644 | − | 0.884972i | \(-0.345823\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −24.0000 | −0.786146 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 16.2635 | − | 28.1691i | 0.532157 | − | 0.921722i | ||||
\(935\) | 4.00000 | − | 6.92820i | 0.130814 | − | 0.226576i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.89949 | −0.323402 | −0.161701 | − | 0.986840i | \(-0.551698\pi\) | ||||
−0.161701 | + | 0.986840i | \(0.551698\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.00000 | − | 6.92820i | −0.130466 | − | 0.225973i | ||||
\(941\) | 15.5563 | − | 26.9444i | 0.507122 | − | 0.878362i | −0.492844 | − | 0.870118i | \(-0.664043\pi\) |
0.999966 | − | 0.00824396i | \(-0.00262416\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 19.7990 | + | 34.2929i | 0.644744 | + | 1.11673i | ||||
\(944\) | −1.41421 | −0.0460287 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.00000 | −0.130051 | ||||||||
\(947\) | −9.00000 | − | 15.5885i | −0.292461 | − | 0.506557i | 0.681930 | − | 0.731417i | \(-0.261141\pi\) |
−0.974391 | + | 0.224860i | \(0.927807\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | 10.6066 | + | 18.3712i | 0.344124 | + | 0.596040i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 26.0000 | 0.842223 | 0.421111 | − | 0.907009i | \(-0.361640\pi\) | ||||
0.421111 | + | 0.907009i | \(0.361640\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.65685 | + | 9.79796i | −0.183052 | + | 0.317055i | ||||
\(956\) | −6.00000 | + | 10.3923i | −0.194054 | + | 0.336111i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 31.1127 | 1.00521 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20.5000 | − | 35.5070i | −0.661290 | − | 1.14539i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −10.6066 | − | 18.3712i | −0.341616 | − | 0.591696i | ||||
\(965\) | −45.2548 | −1.45680 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.0000 | −0.385894 | −0.192947 | − | 0.981209i | \(-0.561805\pi\) | ||||
−0.192947 | + | 0.981209i | \(0.561805\pi\) | |||||||
\(968\) | −3.50000 | − | 6.06218i | −0.112494 | − | 0.194846i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −14.0000 | + | 24.2487i | −0.449513 | + | 0.778579i | ||||
\(971\) | −16.2635 | − | 28.1691i | −0.521919 | − | 0.903990i | −0.999675 | − | 0.0254978i | \(-0.991883\pi\) |
0.477756 | − | 0.878493i | \(-0.341450\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −12.0000 | −0.384505 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.41421 | − | 2.44949i | 0.0452679 | − | 0.0784063i | ||||
\(977\) | 6.00000 | − | 10.3923i | 0.191957 | − | 0.332479i | −0.753942 | − | 0.656941i | \(-0.771850\pi\) |
0.945899 | + | 0.324462i | \(0.105183\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −14.1421 | −0.451985 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.00000 | + | 10.3923i | 0.191468 | + | 0.331632i | ||||
\(983\) | −24.0416 | + | 41.6413i | −0.766809 | + | 1.32815i | 0.172476 | + | 0.985014i | \(0.444823\pi\) |
−0.939285 | + | 0.343138i | \(0.888510\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.82843 | + | 4.89898i | 0.0901212 | + | 0.156094i | ||||
\(986\) | −2.82843 | −0.0900755 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.00000 | − | 6.92820i | −0.127193 | − | 0.220304i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.00000 | − | 13.8564i | 0.254128 | − | 0.440163i | −0.710530 | − | 0.703667i | \(-0.751545\pi\) |
0.964658 | + | 0.263504i | \(0.0848781\pi\) | |||||||
\(992\) | −4.24264 | − | 7.34847i | −0.134704 | − | 0.233314i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −24.0000 | −0.760851 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −15.5563 | + | 26.9444i | −0.492675 | + | 0.853337i | −0.999964 | − | 0.00843818i | \(-0.997314\pi\) |
0.507290 | + | 0.861775i | \(0.330647\pi\) | |||||||
\(998\) | −2.00000 | + | 3.46410i | −0.0633089 | + | 0.109654i | ||||
\(999\) | 0 | 0 |
(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 | 882.2.g.l.361.1 | 4 | ||
3.2 | odd | 2 | 98.2.c.c.67.1 | 4 | |||
7.2 | even | 3 | inner | 882.2.g.l.667.1 | 4 | ||
7.3 | odd | 6 | 882.2.a.n.1.1 | 2 | |||
7.4 | even | 3 | 882.2.a.n.1.2 | 2 | |||
7.5 | odd | 6 | inner | 882.2.g.l.667.2 | 4 | ||
7.6 | odd | 2 | inner | 882.2.g.l.361.2 | 4 | ||
12.11 | even | 2 | 784.2.i.m.753.2 | 4 | |||
21.2 | odd | 6 | 98.2.c.c.79.1 | 4 | |||
21.5 | even | 6 | 98.2.c.c.79.2 | 4 | |||
21.11 | odd | 6 | 98.2.a.b.1.2 | yes | 2 | ||
21.17 | even | 6 | 98.2.a.b.1.1 | ✓ | 2 | ||
21.20 | even | 2 | 98.2.c.c.67.2 | 4 | |||
28.3 | even | 6 | 7056.2.a.cl.1.1 | 2 | |||
28.11 | odd | 6 | 7056.2.a.cl.1.2 | 2 | |||
84.11 | even | 6 | 784.2.a.l.1.1 | 2 | |||
84.23 | even | 6 | 784.2.i.m.177.2 | 4 | |||
84.47 | odd | 6 | 784.2.i.m.177.1 | 4 | |||
84.59 | odd | 6 | 784.2.a.l.1.2 | 2 | |||
84.83 | odd | 2 | 784.2.i.m.753.1 | 4 | |||
105.17 | odd | 12 | 2450.2.c.v.99.4 | 4 | |||
105.32 | even | 12 | 2450.2.c.v.99.3 | 4 | |||
105.38 | odd | 12 | 2450.2.c.v.99.1 | 4 | |||
105.53 | even | 12 | 2450.2.c.v.99.2 | 4 | |||
105.59 | even | 6 | 2450.2.a.bj.1.2 | 2 | |||
105.74 | odd | 6 | 2450.2.a.bj.1.1 | 2 | |||
168.11 | even | 6 | 3136.2.a.bm.1.2 | 2 | |||
168.53 | odd | 6 | 3136.2.a.bn.1.1 | 2 | |||
168.59 | odd | 6 | 3136.2.a.bm.1.1 | 2 | |||
168.101 | even | 6 | 3136.2.a.bn.1.2 | 2 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
98.2.a.b.1.1 | ✓ | 2 | 21.17 | even | 6 | ||
98.2.a.b.1.2 | yes | 2 | 21.11 | odd | 6 | ||
98.2.c.c.67.1 | 4 | 3.2 | odd | 2 | |||
98.2.c.c.67.2 | 4 | 21.20 | even | 2 | |||
98.2.c.c.79.1 | 4 | 21.2 | odd | 6 | |||
98.2.c.c.79.2 | 4 | 21.5 | even | 6 | |||
784.2.a.l.1.1 | 2 | 84.11 | even | 6 | |||
784.2.a.l.1.2 | 2 | 84.59 | odd | 6 | |||
784.2.i.m.177.1 | 4 | 84.47 | odd | 6 | |||
784.2.i.m.177.2 | 4 | 84.23 | even | 6 | |||
784.2.i.m.753.1 | 4 | 84.83 | odd | 2 | |||
784.2.i.m.753.2 | 4 | 12.11 | even | 2 | |||
882.2.a.n.1.1 | 2 | 7.3 | odd | 6 | |||
882.2.a.n.1.2 | 2 | 7.4 | even | 3 | |||
882.2.g.l.361.1 | 4 | 1.1 | even | 1 | trivial | ||
882.2.g.l.361.2 | 4 | 7.6 | odd | 2 | inner | ||
882.2.g.l.667.1 | 4 | 7.2 | even | 3 | inner | ||
882.2.g.l.667.2 | 4 | 7.5 | odd | 6 | inner | ||
2450.2.a.bj.1.1 | 2 | 105.74 | odd | 6 | |||
2450.2.a.bj.1.2 | 2 | 105.59 | even | 6 | |||
2450.2.c.v.99.1 | 4 | 105.38 | odd | 12 | |||
2450.2.c.v.99.2 | 4 | 105.53 | even | 12 | |||
2450.2.c.v.99.3 | 4 | 105.32 | even | 12 | |||
2450.2.c.v.99.4 | 4 | 105.17 | odd | 12 | |||
3136.2.a.bm.1.1 | 2 | 168.59 | odd | 6 | |||
3136.2.a.bm.1.2 | 2 | 168.11 | even | 6 | |||
3136.2.a.bn.1.1 | 2 | 168.53 | odd | 6 | |||
3136.2.a.bn.1.2 | 2 | 168.101 | even | 6 | |||
7056.2.a.cl.1.1 | 2 | 28.3 | even | 6 | |||
7056.2.a.cl.1.2 | 2 | 28.11 | odd | 6 |