Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,4,Mod(65,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.65");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.i (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: | \(6.60821392064\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 14) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 65.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 112.65 |
Dual form | 112.4.i.a.81.1 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 | 0 | ||||||||
\(3\) | −2.50000 | − | 4.33013i | −0.481125 | − | 0.833333i | 0.518640 | − | 0.854993i | \(-0.326438\pi\) |
−0.999765 | + | 0.0216593i | \(0.993105\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 4.50000 | − | 7.79423i | 0.402492 | − | 0.697137i | −0.591534 | − | 0.806280i | \(-0.701477\pi\) |
0.994026 | + | 0.109143i | \(0.0348107\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 14.0000 | + | 12.1244i | 0.755929 | + | 0.654654i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.00000 | − | 1.73205i | 0.0370370 | − | 0.0641500i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −28.5000 | − | 49.3634i | −0.781188 | − | 1.35306i | −0.931250 | − | 0.364381i | \(-0.881280\pi\) |
0.150061 | − | 0.988677i | \(-0.452053\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −70.0000 | −1.49342 | −0.746712 | − | 0.665148i | \(-0.768369\pi\) | ||||
−0.746712 | + | 0.665148i | \(0.768369\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −45.0000 | −0.774597 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −25.5000 | − | 44.1673i | −0.363803 | − | 0.630126i | 0.624780 | − | 0.780801i | \(-0.285189\pi\) |
−0.988583 | + | 0.150675i | \(0.951855\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.50000 | − | 4.33013i | 0.0301863 | − | 0.0522842i | −0.850538 | − | 0.525914i | \(-0.823723\pi\) |
0.880724 | + | 0.473630i | \(0.157057\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 17.5000 | − | 90.9327i | 0.181848 | − | 0.944911i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 34.5000 | − | 59.7558i | 0.312772 | − | 0.541736i | −0.666190 | − | 0.745782i | \(-0.732076\pi\) |
0.978961 | + | 0.204046i | \(0.0654092\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 22.0000 | + | 38.1051i | 0.176000 | + | 0.304841i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −145.000 | −1.03353 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 114.000 | 0.729975 | 0.364987 | − | 0.931012i | \(-0.381073\pi\) | ||||
0.364987 | + | 0.931012i | \(0.381073\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 11.5000 | + | 19.9186i | 0.0666278 | + | 0.115403i | 0.897415 | − | 0.441188i | \(-0.145443\pi\) |
−0.830787 | + | 0.556590i | \(0.812109\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −142.500 | + | 246.817i | −0.751699 | + | 1.30198i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 157.500 | − | 54.5596i | 0.760639 | − | 0.263493i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 126.500 | − | 219.104i | 0.562067 | − | 0.973528i | −0.435249 | − | 0.900310i | \(-0.643340\pi\) |
0.997316 | − | 0.0732182i | \(-0.0233270\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 175.000 | + | 303.109i | 0.718524 | + | 1.24452i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −42.0000 | −0.159983 | −0.0799914 | − | 0.996796i | \(-0.525489\pi\) | ||||
−0.0799914 | + | 0.996796i | \(0.525489\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 124.000 | 0.439763 | 0.219882 | − | 0.975527i | \(-0.429433\pi\) | ||||
0.219882 | + | 0.975527i | \(0.429433\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −9.00000 | − | 15.5885i | −0.0298142 | − | 0.0516398i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 100.500 | − | 174.071i | 0.311903 | − | 0.540231i | −0.666871 | − | 0.745173i | \(-0.732367\pi\) |
0.978774 | + | 0.204941i | \(0.0657003\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 49.0000 | + | 339.482i | 0.142857 | + | 0.989743i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −127.500 | + | 220.836i | −0.350070 | + | 0.606339i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 196.500 | + | 340.348i | 0.509271 | + | 0.882083i | 0.999942 | + | 0.0107383i | \(0.00341816\pi\) |
−0.490672 | + | 0.871345i | \(0.663249\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −513.000 | −1.25769 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −25.0000 | −0.0580935 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 109.500 | + | 189.660i | 0.241622 | + | 0.418501i | 0.961176 | − | 0.275935i | \(-0.0889873\pi\) |
−0.719555 | + | 0.694436i | \(0.755654\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 354.500 | − | 614.012i | 0.744083 | − | 1.28879i | −0.206539 | − | 0.978438i | \(-0.566220\pi\) |
0.950622 | − | 0.310351i | \(-0.100447\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 35.0000 | − | 12.1244i | 0.0699934 | − | 0.0242464i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −315.000 | + | 545.596i | −0.601091 | + | 1.04112i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 209.500 | + | 362.865i | 0.382007 | + | 0.661656i | 0.991349 | − | 0.131251i | \(-0.0418995\pi\) |
−0.609342 | + | 0.792908i | \(0.708566\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −345.000 | −0.601929 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 96.0000 | 0.160466 | 0.0802331 | − | 0.996776i | \(-0.474434\pi\) | ||||
0.0802331 | + | 0.996776i | \(0.474434\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 156.500 | + | 271.066i | 0.250917 | + | 0.434601i | 0.963779 | − | 0.266704i | \(-0.0859346\pi\) |
−0.712862 | + | 0.701305i | \(0.752601\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 110.000 | − | 190.526i | 0.169356 | − | 0.293333i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 199.500 | − | 1036.63i | 0.295261 | − | 1.53422i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 230.500 | − | 399.238i | 0.328269 | − | 0.568579i | −0.653899 | − | 0.756582i | \(-0.726868\pi\) |
0.982169 | + | 0.188003i | \(0.0602013\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 335.500 | + | 581.103i | 0.460219 | + | 0.797124i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 588.000 | 0.777607 | 0.388804 | − | 0.921321i | \(-0.372888\pi\) | ||||
0.388804 | + | 0.921321i | \(0.372888\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −459.000 | −0.585712 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −285.000 | − | 493.634i | −0.351209 | − | 0.608312i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 508.500 | − | 880.748i | 0.605628 | − | 1.04898i | −0.386324 | − | 0.922363i | \(-0.626255\pi\) |
0.991952 | − | 0.126615i | \(-0.0404114\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −980.000 | − | 848.705i | −1.12892 | − | 0.977675i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 57.5000 | − | 99.5929i | 0.0641126 | − | 0.111046i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −22.5000 | − | 38.9711i | −0.0242995 | − | 0.0420879i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1834.00 | −1.91974 | −0.959868 | − | 0.280451i | \(-0.909516\pi\) | ||||
−0.959868 | + | 0.280451i | \(0.909516\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −114.000 | −0.115732 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 142.500 | + | 246.817i | 0.140389 | + | 0.243161i | 0.927643 | − | 0.373468i | \(-0.121831\pi\) |
−0.787254 | + | 0.616629i | \(0.788498\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −249.500 | + | 432.147i | −0.238679 | + | 0.413405i | −0.960336 | − | 0.278847i | \(-0.910048\pi\) |
0.721656 | + | 0.692252i | \(0.243381\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −630.000 | − | 545.596i | −0.585540 | − | 0.507093i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −553.500 | + | 958.690i | −0.500083 | + | 0.866169i | 0.499917 | + | 0.866073i | \(0.333364\pi\) |
−1.00000 | 9.56665e-5i | \(0.999970\pi\) | ||||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −461.500 | − | 799.341i | −0.405538 | − | 0.702413i | 0.588846 | − | 0.808246i | \(-0.299583\pi\) |
−0.994384 | + | 0.105832i | \(0.966249\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −1265.00 | −1.08170 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1542.00 | 1.28371 | 0.641855 | − | 0.766826i | \(-0.278165\pi\) | ||||
0.641855 | + | 0.766826i | \(0.278165\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −310.500 | − | 537.802i | −0.251776 | − | 0.436089i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −70.0000 | + | 121.244i | −0.0553120 | + | 0.0958032i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 178.500 | − | 927.513i | 0.137505 | − | 0.714496i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −959.000 | + | 1661.04i | −0.720511 | + | 1.24796i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 105.000 | + | 181.865i | 0.0769718 | + | 0.133319i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1521.00 | 1.08834 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2056.00 | 1.43654 | 0.718270 | − | 0.695765i | \(-0.244934\pi\) | ||||
0.718270 | + | 0.695765i | \(0.244934\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −310.000 | − | 536.936i | −0.211581 | − | 0.366469i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1024.50 | − | 1774.49i | 0.683290 | − | 1.18349i | −0.290681 | − | 0.956820i | \(-0.593882\pi\) |
0.973971 | − | 0.226673i | \(-0.0727848\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 87.5000 | − | 30.3109i | 0.0570467 | − | 0.0197616i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −652.500 | + | 1130.16i | −0.415987 | + | 0.720511i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 70.5000 | + | 122.110i | 0.0439651 | + | 0.0761498i | 0.887171 | − | 0.461442i | \(-0.152668\pi\) |
−0.843205 | + | 0.537591i | \(0.819334\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1484.00 | −0.905548 | −0.452774 | − | 0.891625i | \(-0.649566\pi\) | ||||
−0.452774 | + | 0.891625i | \(0.649566\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1005.00 | −0.600257 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1995.00 | + | 3455.44i | 1.16665 | + | 2.02069i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 513.000 | − | 888.542i | 0.293809 | − | 0.508892i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1347.50 | − | 1060.88i | 0.756054 | − | 0.595238i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 28.5000 | − | 49.3634i | 0.0156699 | − | 0.0271410i | −0.858084 | − | 0.513509i | \(-0.828345\pi\) |
0.873754 | + | 0.486368i | \(0.161679\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 419.500 | + | 726.595i | 0.226082 | + | 0.391586i | 0.956644 | − | 0.291261i | \(-0.0940748\pi\) |
−0.730561 | + | 0.682847i | \(0.760742\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −102.000 | −0.0538968 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 207.000 | 0.107269 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1416.50 | + | 2453.45i | 0.720057 | + | 1.24718i | 0.960976 | + | 0.276631i | \(0.0892179\pi\) |
−0.240919 | + | 0.970545i | \(0.577449\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 982.500 | − | 1701.74i | 0.490046 | − | 0.848785i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1207.50 | − | 418.290i | 0.591083 | − | 0.204757i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1155.50 | + | 2001.38i | −0.555250 | + | 0.961721i | 0.442634 | + | 0.896702i | \(0.354044\pi\) |
−0.997884 | + | 0.0650188i | \(0.979289\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1282.50 | + | 2221.36i | 0.605106 | + | 1.04807i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −1260.00 | −0.583843 | −0.291921 | − | 0.956442i | \(-0.594295\pi\) | ||||
−0.291921 | + | 0.956442i | \(0.594295\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2703.00 | 1.23031 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.00000 | − | 8.66025i | −0.00223602 | − | 0.00387290i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1633.50 | + | 2829.30i | −0.717877 | + | 1.24340i | 0.243962 | + | 0.969785i | \(0.421553\pi\) |
−0.961839 | + | 0.273615i | \(0.911781\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −154.000 | + | 800.207i | −0.0665217 | + | 0.345657i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 547.500 | − | 948.298i | 0.232501 | − | 0.402703i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 643.500 | + | 1114.57i | 0.268701 | + | 0.465403i | 0.968527 | − | 0.248910i | \(-0.0800724\pi\) |
−0.699826 | + | 0.714314i | \(0.746739\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2674.00 | −1.09810 | −0.549052 | − | 0.835788i | \(-0.685011\pi\) | ||||
−0.549052 | + | 0.835788i | \(0.685011\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −3545.00 | −1.43199 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −1138.50 | − | 1971.94i | −0.452455 | − | 0.783675i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1453.50 | + | 2517.54i | −0.568398 | + | 0.984494i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −2030.00 | − | 1758.03i | −0.781274 | − | 0.676603i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2092.50 | − | 3624.32i | 0.792712 | − | 1.37302i | −0.131570 | − | 0.991307i | \(-0.542002\pi\) |
0.924282 | − | 0.381711i | \(-0.124665\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 42.5000 | + | 73.6122i | 0.0158509 | + | 0.0274545i | 0.873842 | − | 0.486210i | \(-0.161621\pi\) |
−0.857991 | + | 0.513664i | \(0.828288\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3150.00 | 1.15680 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −390.000 | −0.141047 | −0.0705237 | − | 0.997510i | \(-0.522467\pi\) | ||||
−0.0705237 | + | 0.997510i | \(0.522467\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1416.50 | − | 2453.45i | −0.504588 | − | 0.873972i | −0.999986 | − | 0.00530596i | \(-0.998311\pi\) |
0.495398 | − | 0.868666i | \(-0.335022\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1047.50 | − | 1814.32i | 0.367587 | − | 0.636679i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1596.00 | + | 1382.18i | 0.551809 | + | 0.477881i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −189.000 | + | 327.358i | −0.0643919 | + | 0.111530i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −69.0000 | − | 119.512i | −0.0231683 | − | 0.0401286i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −285.000 | −0.0943247 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 124.000 | 0.0404574 | 0.0202287 | − | 0.999795i | \(-0.493561\pi\) | ||||
0.0202287 | + | 0.999795i | \(0.493561\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −240.000 | − | 415.692i | −0.0772044 | − | 0.133722i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 558.000 | − | 966.484i | 0.177001 | − | 0.306575i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −80.5000 | + | 418.290i | −0.0251829 | + | 0.130854i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 782.500 | − | 1355.33i | 0.241445 | − | 0.418195i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1785.00 | + | 3091.71i | 0.543313 | + | 0.941045i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −56.0000 | −0.0168163 | −0.00840816 | − | 0.999965i | \(-0.502676\pi\) | ||||
−0.00840816 | + | 0.999965i | \(0.502676\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 88.0000 | 0.0260741 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1528.50 | − | 2647.44i | −0.446917 | − | 0.774083i | 0.551267 | − | 0.834329i | \(-0.314145\pi\) |
−0.998184 | + | 0.0602465i | \(0.980811\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 480.500 | − | 832.250i | 0.138656 | − | 0.240160i | −0.788332 | − | 0.615250i | \(-0.789055\pi\) |
0.926988 | + | 0.375090i | \(0.122388\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4987.50 | + | 1727.72i | −1.42058 | + | 0.492102i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1414.50 | − | 2449.99i | 0.397712 | − | 0.688858i | −0.595731 | − | 0.803184i | \(-0.703138\pi\) |
0.993443 | + | 0.114326i | \(0.0364709\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −904.500 | − | 1566.64i | −0.251077 | − | 0.434878i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2305.00 | −0.631755 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 3540.00 | 0.958090 | 0.479045 | − | 0.877790i | \(-0.340983\pi\) | ||||
0.479045 | + | 0.877790i | \(0.340983\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −2615.50 | − | 4530.18i | −0.699084 | − | 1.21085i | −0.968785 | − | 0.247904i | \(-0.920258\pi\) |
0.269701 | − | 0.962944i | \(-0.413075\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −280.000 | + | 484.974i | −0.0739177 | + | 0.128029i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2866.50 | + | 1145.75i | 0.747486 | + | 0.298773i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −175.000 | + | 303.109i | −0.0450809 | + | 0.0780824i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −1470.00 | − | 2546.11i | −0.374126 | − | 0.648006i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5040.00 | −1.26742 | −0.633709 | − | 0.773571i | \(-0.718468\pi\) | ||||
−0.633709 | + | 0.773571i | \(0.718468\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3933.00 | −0.977334 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1147.50 | + | 1987.53i | 0.281801 | + | 0.488094i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 718.500 | − | 1244.48i | 0.174392 | − | 0.302056i | −0.765559 | − | 0.643366i | \(-0.777537\pi\) |
0.939951 | + | 0.341310i | \(0.110871\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4427.50 | − | 1533.73i | 1.06221 | − | 0.367959i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 114.000 | − | 197.454i | 0.0270361 | − | 0.0468279i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1162.50 | − | 2013.51i | −0.272558 | − | 0.472085i | 0.696958 | − | 0.717112i | \(-0.254536\pi\) |
−0.969516 | + | 0.245027i | \(0.921203\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3537.00 | 0.819910 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −5085.00 | −1.16553 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1192.50 | + | 2065.47i | 0.270290 | + | 0.468156i | 0.968936 | − | 0.247311i | \(-0.0795471\pi\) |
−0.698646 | + | 0.715467i | \(0.746214\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −165.500 | + | 286.654i | −0.0370975 | + | 0.0642547i | −0.883978 | − | 0.467528i | \(-0.845145\pi\) |
0.846881 | + | 0.531783i | \(0.178478\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −1225.00 | + | 6365.29i | −0.271576 | + | 1.41115i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1254.00 | − | 2171.99i | 0.274978 | − | 0.476276i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2435.50 | − | 4218.41i | −0.528285 | − | 0.915017i | −0.999456 | − | 0.0329750i | \(-0.989502\pi\) |
0.471171 | − | 0.882042i | \(-0.343831\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 46.0000 | 0.00987078 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7026.00 | −1.49159 | −0.745794 | − | 0.666177i | \(-0.767930\pi\) | ||||
−0.745794 | + | 0.666177i | \(0.767930\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −2676.50 | − | 4635.83i | −0.562196 | − | 0.973752i | −0.997305 | − | 0.0733738i | \(-0.976623\pi\) |
0.435109 | − | 0.900378i | \(-0.356710\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −112.500 | + | 194.856i | −0.0233822 | + | 0.0404991i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −588.000 | − | 509.223i | −0.120936 | − | 0.104733i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1156.00 | − | 2002.25i | 0.235294 | − | 0.407541i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 4585.00 | + | 7941.45i | 0.923634 | + | 1.59978i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4158.00 | 0.829054 | 0.414527 | − | 0.910037i | \(-0.363947\pi\) | ||||
0.414527 | + | 0.910037i | \(0.363947\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1971.00 | 0.389004 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4132.50 | + | 7157.70i | 0.807380 | + | 1.39842i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −2415.00 | + | 4182.90i | −0.467101 | + | 0.809042i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1736.00 | + | 1503.42i | 0.332430 | + | 0.287893i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 712.500 | − | 1234.09i | 0.135089 | − | 0.233982i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −3190.50 | − | 5526.11i | −0.598975 | − | 1.03746i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9604.00 | 1.78544 | 0.892719 | − | 0.450615i | \(-0.148795\pi\) | ||||
0.892719 | + | 0.450615i | \(0.148795\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 2495.00 | 0.459338 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5065.50 | + | 8773.70i | 0.923595 | + | 1.59971i | 0.793805 | + | 0.608173i | \(0.208097\pi\) |
0.129791 | + | 0.991541i | \(0.458570\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5399.50 | + | 9352.21i | −0.975073 | + | 1.68888i | −0.295378 | + | 0.955380i | \(0.595446\pi\) |
−0.679695 | + | 0.733495i | \(0.737888\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 63.0000 | − | 327.358i | 0.0112687 | − | 0.0585540i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −265.500 | + | 459.859i | −0.0470409 | + | 0.0814772i | −0.888587 | − | 0.458708i | \(-0.848312\pi\) |
0.841546 | + | 0.540185i | \(0.181646\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −3249.00 | − | 5627.43i | −0.570248 | − | 0.987698i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 5535.00 | 0.962410 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −255.000 | −0.0439275 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1540.00 | − | 2667.36i | −0.262843 | − | 0.455257i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −2307.50 | + | 3996.71i | −0.390229 | + | 0.675897i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 3517.50 | − | 1218.50i | 0.589441 | − | 0.204188i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3507.50 | + | 6075.17i | −0.582446 | + | 1.00883i | 0.412743 | + | 0.910848i | \(0.364571\pi\) |
−0.995189 | + | 0.0979784i | \(0.968762\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −253.000 | − | 438.209i | −0.0416346 | − | 0.0721132i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 3771.00 | 0.615020 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8990.00 | 1.45316 | 0.726582 | − | 0.687079i | \(-0.241108\pi\) | ||||
0.726582 | + | 0.687079i | \(0.241108\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −3855.00 | − | 6677.06i | −0.617625 | − | 1.06976i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 655.500 | − | 1135.36i | 0.104098 | − | 0.180303i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3430.00 | + | 5346.84i | −0.539949 | + | 0.841698i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1552.50 | + | 2689.01i | −0.242272 | + | 0.419627i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −4354.50 | − | 7542.22i | −0.673665 | − | 1.16682i | −0.976857 | − | 0.213893i | \(-0.931386\pi\) |
0.303192 | − | 0.952929i | \(-0.401948\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6482.00 | 0.994193 | 0.497097 | − | 0.867695i | \(-0.334399\pi\) | ||||
0.497097 | + | 0.867695i | \(0.334399\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 10150.0 | 1.54350 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 1066.50 | + | 1847.23i | 0.160805 | + | 0.278522i | 0.935158 | − | 0.354232i | \(-0.115258\pi\) |
−0.774353 | + | 0.632754i | \(0.781924\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 432.000 | − | 748.246i | 0.0645864 | − | 0.111867i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4462.50 | + | 1545.86i | −0.661570 | + | 0.229175i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 1924.50 | − | 3333.33i | 0.282928 | − | 0.490046i | −0.689176 | − | 0.724594i | \(-0.742028\pi\) |
0.972105 | + | 0.234548i | \(0.0753608\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3417.00 | + | 5918.42i | 0.498178 | + | 0.862869i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 9590.00 | 1.38662 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2817.00 | 0.403969 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3245.50 | + | 5621.37i | 0.461618 | + | 0.799545i | 0.999042 | − | 0.0437668i | \(-0.0139358\pi\) |
−0.537424 | + | 0.843312i | \(0.680603\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −42.0000 | + | 72.7461i | −0.00592529 | + | 0.0102629i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1375.50 | + | 7147.31i | −0.192486 | + | 1.00019i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −461.500 | + | 799.341i | −0.0640632 | + | 0.110961i | −0.896278 | − | 0.443493i | \(-0.853739\pi\) |
0.832215 | + | 0.554453i | \(0.187073\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −3802.50 | − | 6586.12i | −0.523627 | − | 0.906949i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7980.00 | −1.09016 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −6344.00 | −0.859814 | −0.429907 | − | 0.902873i | \(-0.641454\pi\) | ||||
−0.429907 | + | 0.902873i | \(0.641454\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −5140.00 | − | 8902.74i | −0.691155 | − | 1.19712i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −2503.50 | + | 4336.19i | −0.334002 | + | 0.578509i | −0.983293 | − | 0.182032i | \(-0.941733\pi\) |
0.649290 | + | 0.760541i | \(0.275066\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7182.00 | − | 6219.79i | −0.950724 | − | 0.823351i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 124.000 | − | 214.774i | 0.0162875 | − | 0.0282108i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −6145.50 | − | 10644.3i | −0.801001 | − | 1.38737i | −0.918958 | − | 0.394355i | \(-0.870968\pi\) |
0.117958 | − | 0.993019i | \(-0.462365\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3519.00 | −0.455150 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −10245.0 | −1.31499 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2074.50 | − | 3593.14i | −0.264252 | − | 0.457697i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −443.500 | + | 768.165i | −0.0560671 | + | 0.0971110i | −0.892697 | − | 0.450658i | \(-0.851189\pi\) |
0.836630 | + | 0.547769i | \(0.184523\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −350.000 | − | 303.109i | −0.0439146 | − | 0.0380311i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5977.50 | + | 10353.3i | −0.744394 | + | 1.28933i | 0.206083 | + | 0.978535i | \(0.433928\pi\) |
−0.950477 | + | 0.310794i | \(0.899405\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −805.000 | − | 1394.30i | −0.0995035 | − | 0.172345i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6039.00 | 0.740939 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −14421.0 | −1.75632 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1710.50 | + | 2962.67i | 0.206794 | + | 0.358178i | 0.950703 | − | 0.310103i | \(-0.100364\pi\) |
−0.743909 | + | 0.668281i | \(0.767030\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 352.500 | − | 610.548i | 0.0423055 | − | 0.0732752i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −766.500 | + | 3982.85i | −0.0913245 | + | 0.474536i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2646.00 | − | 4583.01i | 0.312981 | − | 0.542099i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 3710.00 | + | 6425.91i | 0.435682 | + | 0.754624i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 5460.00 | 0.636607 | 0.318304 | − | 0.947989i | \(-0.396887\pi\) | ||||
0.318304 | + | 0.947989i | \(0.396887\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7730.00 | 0.894863 | 0.447431 | − | 0.894318i | \(-0.352339\pi\) | ||||
0.447431 | + | 0.894318i | \(0.352339\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −201.000 | − | 348.142i | −0.0231039 | − | 0.0400171i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1122.00 | − | 1943.36i | 0.128059 | − | 0.221804i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12407.5 | − | 4298.08i | 1.40619 | − | 0.487117i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 9975.00 | − | 17277.2i | 1.12260 | − | 1.94441i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5656.50 | − | 9797.35i | −0.632167 | − | 1.09495i | −0.987108 | − | 0.160057i | \(-0.948832\pi\) |
0.354941 | − | 0.934889i | \(-0.384501\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 4214.00 | 0.467695 | 0.233847 | − | 0.972273i | \(-0.424868\pi\) | ||||
0.233847 | + | 0.972273i | \(0.424868\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −5130.00 | −0.565436 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −172.500 | − | 298.779i | −0.0188828 | − | 0.0327060i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 8276.50 | − | 14335.3i | 0.899808 | − | 1.55851i | 0.0720696 | − | 0.997400i | \(-0.477040\pi\) |
0.827739 | − | 0.561114i | \(-0.189627\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 637.000 | + | 254.611i | 0.0687831 | + | 0.0274929i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −8197.50 | + | 14198.5i | −0.879176 | + | 1.52278i | −0.0269294 | + | 0.999637i | \(0.508573\pi\) |
−0.852247 | + | 0.523140i | \(0.824760\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4576.50 | − | 7926.73i | −0.487521 | − | 0.844411i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −285.000 | −0.0301567 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −15090.0 | −1.58606 | −0.793030 | − | 0.609182i | \(-0.791498\pi\) | ||||
−0.793030 | + | 0.609182i | \(0.791498\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1197.00 | + | 2073.26i | 0.124977 | + | 0.216466i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2097.50 | − | 3632.98i | 0.217548 | − | 0.376804i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −11025.0 | + | 3819.17i | −1.13596 | + | 0.393507i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 7392.50 | − | 12804.2i | 0.756688 | − | 1.31062i | −0.187842 | − | 0.982199i | \(-0.560149\pi\) |
0.944531 | − | 0.328423i | \(-0.106517\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 3697.50 | + | 6404.26i | 0.376001 | + | 0.651253i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 2898.00 | 0.292784 | 0.146392 | − | 0.989227i | \(-0.453234\pi\) | ||||
0.146392 | + | 0.989227i | \(0.453234\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −464.000 | −0.0465743 | −0.0232872 | − | 0.999729i | \(-0.507413\pi\) | ||||
−0.0232872 | + | 0.999729i | \(0.507413\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −517.500 | − | 896.336i | −0.0516097 | − | 0.0893905i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 2116.50 | − | 3665.89i | 0.209721 | − | 0.363248i | −0.741905 | − | 0.670505i | \(-0.766078\pi\) |
0.951627 | + | 0.307256i | \(0.0994109\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1466.50 | + | 7620.16i | −0.144385 | + | 0.750248i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 7082.50 | − | 12267.2i | 0.692876 | − | 1.20010i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −3534.00 | − | 6121.07i | −0.343538 | − | 0.595025i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 220.000 | 0.0212511 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 786.000 | 0.0754475 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 1369.50 | + | 2372.04i | 0.130635 | + | 0.226266i | 0.923921 | − | 0.382582i | \(-0.124965\pi\) |
−0.793287 | + | 0.608848i | \(0.791632\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −8855.00 | + | 15337.3i | −0.839404 | + | 1.45389i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −4830.00 | − | 4182.90i | −0.455016 | − | 0.394055i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −8253.00 | + | 14294.6i | −0.772679 | + | 1.33832i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 8525.50 | + | 14766.6i | 0.793280 | + | 1.37400i | 0.923926 | + | 0.382572i | \(0.124962\pi\) |
−0.130646 | + | 0.991429i | \(0.541705\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11555.0 | 1.06858 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4296.00 | 0.394859 | 0.197429 | − | 0.980317i | \(-0.436741\pi\) | ||||
0.197429 | + | 0.980317i | \(0.436741\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −2907.00 | − | 5035.07i | −0.265567 | − | 0.459976i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −513.000 | + | 888.542i | −0.0465811 | + | 0.0806808i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 1344.00 | + | 1163.94i | 0.121301 | + | 0.105050i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1700.50 | − | 2945.35i | 0.152555 | − | 0.264233i | −0.779611 | − | 0.626264i | \(-0.784583\pi\) |
0.932166 | + | 0.362031i | \(0.117917\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3150.00 | + | 5455.96i | 0.280901 | + | 0.486536i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −16800.0 | −1.48921 | −0.744607 | − | 0.667503i | \(-0.767363\pi\) | ||||
−0.744607 | + | 0.667503i | \(0.767363\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2565.00 | 0.226022 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −6757.50 | − | 11704.3i | −0.591935 | − | 1.02526i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −919.500 | + | 1592.62i | −0.0800710 | + | 0.138687i | −0.903280 | − | 0.429051i | \(-0.858848\pi\) |
0.823209 | + | 0.567738i | \(0.192181\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1095.50 | + | 5692.38i | −0.0948377 | + | 0.492791i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −362.500 | + | 627.868i | −0.0311984 | + | 0.0540372i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 2245.50 | + | 3889.32i | 0.192133 | + | 0.332784i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11457.0 | −0.974620 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 16335.0 | 1.38155 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −151.500 | − | 262.406i | −0.0127396 | − | 0.0220656i | 0.859585 | − | 0.510992i | \(-0.170722\pi\) |
−0.872325 | + | 0.488927i | \(0.837389\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10833.5 | + | 18764.2i | −0.905767 | + | 1.56883i | −0.0858815 | + | 0.996305i | \(0.527371\pi\) |
−0.819885 | + | 0.572528i | \(0.805963\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 3850.00 | − | 1333.68i | 0.320053 | − | 0.110870i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 586.500 | − | 1015.85i | 0.0484788 | − | 0.0839678i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3703.00 | + | 6413.78i | 0.304348 | + | 0.527146i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 438.000 | 0.0357958 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2940.00 | 0.238922 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4981.50 | + | 8628.21i | 0.402559 | + | 0.697253i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 3217.50 | − | 5572.87i | 0.258557 | − | 0.447835i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 15361.5 | − | 12094.0i | 1.22758 | − | 0.966470i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2519.50 | + | 4363.90i | −0.200225 | + | 0.346800i | −0.948601 | − | 0.316475i | \(-0.897501\pi\) |
0.748376 | + | 0.663275i | \(0.230834\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6685.00 | + | 11578.8i | 0.528326 | + | 0.915087i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −8307.00 | −0.652904 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2392.00 | 0.186974 | 0.0934868 | − | 0.995621i | \(-0.470199\pi\) | ||||
0.0934868 | + | 0.995621i | \(0.470199\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −709.000 | − | 1228.02i | −0.0551173 | − | 0.0954659i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 285.000 | − | 493.634i | 0.0220352 | − | 0.0381661i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 8067.50 | − | 2794.66i | 0.620371 | − | 0.214903i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −5692.50 | + | 9859.70i | −0.435375 | + | 0.754092i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 11074.5 | + | 19181.6i | 0.842445 | + | 1.45916i | 0.887822 | + | 0.460187i | \(0.152218\pi\) |
−0.0453775 | + | 0.998970i | \(0.514449\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8680.00 | −0.656753 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 14535.0 | 1.09388 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4174.50 | − | 7230.45i | −0.312494 | − | 0.541256i | 0.666408 | − | 0.745588i | \(-0.267831\pi\) |
−0.978902 | + | 0.204332i | \(0.934498\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 6939.00 | − | 12018.7i | 0.516683 | − | 0.894921i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −2348.50 | + | 12203.2i | −0.173947 | + | 0.903853i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 7672.50 | − | 13289.2i | 0.565286 | − | 0.979105i | −0.431737 | − | 0.902000i | \(-0.642099\pi\) |
0.997023 | − | 0.0771050i | \(-0.0245677\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5796.50 | − | 10039.8i | −0.424827 | − | 0.735821i | 0.571578 | − | 0.820548i | \(-0.306332\pi\) |
−0.996404 | + | 0.0847268i | \(0.972998\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −20925.0 | −1.52557 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 3036.00 | 0.220191 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7296.50 | + | 12637.9i | 0.526442 | + | 0.911825i | 0.999525 | + | 0.0308071i | \(0.00980776\pi\) |
−0.473083 | + | 0.881018i | \(0.656859\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 212.500 | − | 368.061i | 0.0152525 | − | 0.0264181i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 8232.00 | + | 7129.12i | 0.587816 | + | 0.509063i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11200.5 | − | 19399.8i | 0.795673 | − | 1.37815i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 630.000 | + | 1091.19i | 0.0445253 | + | 0.0771201i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 15372.0 | 1.08087 | 0.540435 | − | 0.841386i | \(-0.318260\pi\) | ||||
0.540435 | + | 0.841386i | \(0.318260\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 115.000 | 0.00804498 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 975.000 | + | 1688.75i | 0.0678615 | + | 0.117540i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7186.50 | − | 12447.4i | 0.497663 | − | 0.861978i | −0.502333 | − | 0.864674i | \(-0.667525\pi\) |
0.999996 | + | 0.00269639i | \(0.000858288\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6426.00 | − | 5565.08i | −0.442757 | − | 0.383439i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −7082.50 | + | 12267.2i | −0.485540 | + | 0.840980i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 1273.50 | + | 2205.77i | 0.0868678 | + | 0.150459i | 0.906186 | − | 0.422880i | \(-0.138981\pi\) |
−0.819318 | + | 0.573340i | \(0.805648\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7042.00 | −0.477952 | −0.238976 | − | 0.971025i | \(-0.576812\pi\) | ||||
−0.238976 | + | 0.971025i | \(0.576812\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 838.000 | 0.0565937 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 8631.00 | + | 14949.3i | 0.580000 | + | 1.00459i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11295.5 | + | 19564.4i | −0.755305 | + | 1.30823i | 0.189917 | + | 0.981800i | \(0.439178\pi\) |
−0.945223 | + | 0.326427i | \(0.894155\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 1995.00 | − | 10366.3i | 0.132745 | − | 0.689761i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −7035.00 | + | 12185.0i | −0.465803 | + | 0.806794i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4242.50 | + | 7348.23i | 0.279532 | + | 0.484163i | 0.971268 | − | 0.237987i | \(-0.0764874\pi\) |
−0.691737 | + | 0.722150i | \(0.743154\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1890.00 | 0.123922 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −18282.0 | −1.19288 | −0.596439 | − | 0.802658i | \(-0.703418\pi\) | ||||
−0.596439 | + | 0.802658i | \(0.703418\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 1145.50 | + | 1984.06i | 0.0743805 | + | 0.128831i | 0.900817 | − | 0.434200i | \(-0.142969\pi\) |
−0.826436 | + | 0.563030i | \(0.809635\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5002.50 | + | 8664.58i | −0.323258 | + | 0.559900i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 17797.5 | − | 6165.23i | 1.14453 | − | 0.396477i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4094.50 | − | 7091.88i | 0.262048 | − | 0.453880i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 712.500 | + | 1234.09i | 0.0453820 | + | 0.0786039i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −12903.0 | −0.817927 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 6928.00 | 0.437083 | 0.218541 | − | 0.975828i | \(-0.429870\pi\) | ||||
0.218541 | + | 0.975828i | \(0.429870\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −310.000 | − | 536.936i | −0.0194651 | − | 0.0337145i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 9252.00 | − | 16024.9i | 0.578196 | − | 1.00146i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −3430.00 | − | 23763.7i | −0.213346 | − | 1.47811i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 96.0000 | − | 166.277i | 0.00594319 | − | 0.0102939i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −12487.5 | − | 21629.0i | −0.769464 | − | 1.33275i | −0.937854 | − | 0.347031i | \(-0.887190\pi\) |
0.168390 | − | 0.985721i | \(-0.446143\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −9548.00 | −0.585593 | −0.292797 | − | 0.956175i | \(-0.594586\pi\) | ||||
−0.292797 | + | 0.956175i | \(0.594586\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −5580.00 | −0.340639 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 5065.50 | + | 8773.70i | 0.307798 | + | 0.533122i | 0.977880 | − | 0.209165i | \(-0.0670745\pi\) |
−0.670082 | + | 0.742287i | \(0.733741\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6241.50 | − | 10810.6i | 0.377504 | − | 0.653857i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2012.50 | − | 697.150i | 0.121161 | − | 0.0419716i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −8329.50 | + | 14427.1i | −0.499171 | + | 0.864589i | −1.00000 | 0.000957229i | \(-0.999695\pi\) | |
0.500829 | + | 0.865546i | \(0.333029\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9220.50 | − | 15970.4i | −0.550038 | − | 0.952693i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 626.000 | 0.0371729 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −29556.0 | −1.74710 | −0.873550 | − | 0.486735i | \(-0.838188\pi\) | ||||
−0.873550 | + | 0.486735i | \(0.838188\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −95.5000 | − | 165.411i | −0.00561955 | − | 0.00973334i | 0.863202 | − | 0.504859i | \(-0.168455\pi\) |
−0.868822 | + | 0.495125i | \(0.835122\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 8925.00 | − | 15458.6i | 0.522803 | − | 0.905521i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 157.500 | − | 818.394i | 0.00918434 | − | 0.0477232i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3933.00 | − | 6812.16i | 0.228315 | − | 0.395454i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 140.000 | + | 242.487i | 0.00809075 | + | 0.0140136i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −40413.0 | −2.32508 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2606.00 | 0.149263 | 0.0746314 | − | 0.997211i | \(-0.476222\pi\) | ||||
0.0746314 | + | 0.997211i | \(0.476222\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −3190.00 | − | 5525.24i | −0.181901 | − | 0.315062i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2104.50 | − | 3645.10i | 0.119472 | − | 0.206931i | −0.800087 | − | 0.599885i | \(-0.795213\pi\) |
0.919559 | + | 0.392953i | \(0.128547\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −25676.0 | − | 22236.1i | −1.45118 | − | 1.25676i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −7642.50 | + | 13237.2i | −0.430046 | + | 0.744861i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 12151.5 | + | 21047.0i | 0.680768 | + | 1.17912i | 0.974747 | + | 0.223312i | \(0.0716869\pi\) |
−0.293979 | + | 0.955812i | \(0.594980\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1269.00 | 0.0707825 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −4805.00 | −0.266845 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −13755.0 | − | 23824.4i | −0.760557 | − | 1.31732i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7520.50 | − | 13025.9i | 0.414028 | − | 0.717117i | −0.581298 | − | 0.813691i | \(-0.697455\pi\) |
0.995326 | + | 0.0965734i | \(0.0307882\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1596.00 | − | 1382.18i | −0.0874849 | − | 0.0757641i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −6678.00 | + | 11566.6i | −0.364476 | + | 0.631291i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1071.00 | + | 1855.03i | 0.0582023 | + | 0.100809i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −14145.0 | −0.765398 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 24726.0 | 1.33222 | 0.666111 | − | 0.745852i | \(-0.267958\pi\) | ||||
0.666111 | + | 0.745852i | \(0.267958\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −632.500 | − | 1095.52i | −0.0339334 | − | 0.0587744i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −4522.50 | + | 7833.20i | −0.241599 | + | 0.418462i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −997.500 | + | 5183.16i | −0.0530620 | + | 0.275718i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2478.50 | − | 4292.89i | 0.131286 | − | 0.227395i | −0.792886 | − | 0.609370i | \(-0.791423\pi\) |
0.924173 | + | 0.381975i | \(0.124756\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −461.000 | − | 798.475i | −0.0243162 | − | 0.0421170i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1587.00 | 0.0833571 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 35910.0 | 1.87826 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −8850.00 | − | 15328.6i | −0.460961 | − | 0.798409i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 13834.5 | − | 23962.1i | 0.717580 | − | 1.24288i | −0.244376 | − | 0.969680i | \(-0.578583\pi\) |
0.961956 | − | 0.273204i | \(-0.0880834\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −8732.50 | + | 3025.03i | −0.451061 | + | 0.156252i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −13077.5 | + | 22650.9i | −0.672694 | + | 1.16514i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2508.00 | + | 4343.98i | 0.128476 | + | 0.222526i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13888.0 | 0.708497 | 0.354249 | − | 0.935151i | \(-0.384737\pi\) | ||||
0.354249 | + | 0.935151i | \(0.384737\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 20917.0 | 1.06269 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3162.00 | − | 5476.74i | −0.159987 | − | 0.277106i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7121.50 | + | 12334.8i | −0.358852 | + | 0.621550i | −0.987769 | − | 0.155922i | \(-0.950165\pi\) |
0.628917 | + | 0.777472i | \(0.283498\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2205.00 | − | 15276.7i | −0.110657 | − | 0.766652i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 11941.5 | − | 20683.3i | 0.596840 | − | 1.03376i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18479.5 | + | 32007.4i | 0.919864 | + | 1.59325i | 0.799620 | + | 0.600507i | \(0.205034\pi\) |
0.120244 | + | 0.992744i | \(0.461632\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1750.00 | 0.0867582 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12528.0 | 0.618584 | 0.309292 | − | 0.950967i | \(-0.399908\pi\) | ||||
0.309292 | + | 0.950967i | \(0.399908\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −256.500 | − | 444.271i | −0.0126140 | − | 0.0218481i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 588.000 | − | 1018.45i | 0.0288003 | − | 0.0498835i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −19372.5 | + | 6710.83i | −0.945068 | + | 0.327381i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8883.50 | + | 15386.7i | −0.431643 | + | 0.747627i | −0.997015 | − | 0.0772090i | \(-0.975399\pi\) |
0.565372 | + | 0.824836i | \(0.308732\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 12600.0 | + | 21823.8i | 0.609787 | + | 1.05618i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 7551.00 | 0.363985 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −28726.0 | −1.37921 | −0.689606 | − | 0.724184i | \(-0.742216\pi\) | ||||
−0.689606 | + | 0.724184i | \(0.742216\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 9832.50 | + | 17030.4i | 0.470220 | + | 0.814445i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 13234.5 | − | 22922.8i | 0.630421 | − | 1.09192i | −0.357045 | − | 0.934087i | \(-0.616216\pi\) |
0.987466 | − | 0.157834i | \(-0.0504510\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 3230.50 | − | 16786.2i | 0.153279 | − | 0.796462i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −459.000 | + | 795.011i | −0.0216930 | + | 0.0375735i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −7665.00 | − | 13276.2i | −0.360844 | − | 0.625000i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5054.00 | 0.236999 | 0.118499 | − | 0.992954i | \(-0.462192\pi\) | ||||
0.118499 | + | 0.992954i | \(0.462192\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −7185.00 | −0.335618 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 17782.5 | + | 30800.2i | 0.827415 | + | 1.43313i | 0.900059 | + | 0.435767i | \(0.143523\pi\) |
−0.0726439 | + | 0.997358i | \(0.523144\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −506.000 | + | 876.418i | −0.0234530 | + | 0.0406217i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −17710.0 | − | 15337.3i | −0.817687 | − | 0.708138i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −105.000 | + | 181.865i | −0.00482929 | + | 0.00836457i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2736.00 | − | 4738.89i | −0.125354 | − | 0.217120i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −16530.0 | −0.754450 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 25497.0 | 1.15927 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −4314.50 | − | 7472.93i | −0.195420 | − | 0.338477i | 0.751618 | − | 0.659598i | \(-0.229274\pi\) |
−0.947038 | + | 0.321121i | \(0.895940\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5812.50 | + | 10067.5i | −0.262269 | + | 0.454264i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 21588.0 | + | 18695.8i | 0.970393 | + | 0.840385i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −24815.0 | + | 42980.8i | −1.11123 | + | 1.92471i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8842.50 | − | 15315.7i | −0.394479 | − | 0.683258i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 20706.0 | 0.920256 | 0.460128 | − | 0.887853i | \(-0.347803\pi\) | ||||
0.460128 | + | 0.887853i | \(0.347803\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −10251.0 | −0.453885 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −1017.00 | − | 1761.50i | −0.0448613 | − | 0.0777021i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 8920.50 | − | 15450.8i | 0.392027 | − | 0.679011i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 2173.50 | − | 11293.8i | 0.0951625 | − | 0.494479i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 5962.50 | − | 10327.4i | 0.260087 | − | 0.450483i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 8092.50 | + | 14016.6i | 0.351690 | + | 0.609145i | 0.986546 | − | 0.163486i | \(-0.0522738\pi\) |
−0.634856 | + | 0.772631i | \(0.718940\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 11788.0 | 0.510398 | 0.255199 | − | 0.966889i | \(-0.417859\pi\) | ||||
0.255199 | + | 0.966889i | \(0.417859\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1655.00 | 0.0713941 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 10399.5 | + | 18012.5i | 0.446968 | + | 0.774171i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 310.000 | − | 536.936i | 0.0132748 | − | 0.0229927i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2450.00 | + | 848.705i | −0.104530 | + | 0.0362102i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 14896.5 | − | 25801.5i | 0.633242 | − | 1.09681i | −0.353643 | − | 0.935380i | \(-0.615057\pi\) |
0.986885 | − | 0.161426i | \(-0.0516094\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 15161.5 | + | 26260.5i | 0.642159 | + | 1.11225i | 0.984950 | + | 0.172840i | \(0.0552943\pi\) |
−0.342791 | + | 0.939412i | \(0.611372\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −12540.0 | −0.529196 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −21156.0 | −0.889560 | −0.444780 | − | 0.895640i | \(-0.646718\pi\) | ||||
−0.444780 | + | 0.895640i | \(0.646718\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2634.50 | + | 4563.09i | 0.110374 | + | 0.191173i | 0.915921 | − | 0.401358i | \(-0.131462\pi\) |
−0.805547 | + | 0.592532i | \(0.798129\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −12177.5 | + | 21092.0i | −0.508343 | + | 0.880475i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 13744.5 | − | 10821.0i | 0.571691 | − | 0.450090i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5670.00 | + | 9820.73i | −0.234992 | + | 0.407018i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −1667.50 | − | 2888.19i | −0.0688617 | − | 0.119272i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 39816.0 | 1.63838 | 0.819190 | − | 0.573522i | \(-0.194423\pi\) | ||||
0.819190 | + | 0.573522i | \(0.194423\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11393.0 | −0.467137 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 17565.0 | + | 30423.5i | 0.717640 | + | 1.24299i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 12163.5 | − | 21067.8i | 0.495192 | − | 0.857697i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −33565.0 | + | 11627.3i | −1.36164 | + | 0.471685i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −13382.5 | + | 23179.2i | −0.540973 | + | 0.936993i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8728.50 | − | 15118.2i | −0.351597 | − | 0.608984i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14546.0 | 0.583875 | 0.291938 | − | 0.956437i | \(-0.405700\pi\) | ||||
0.291938 | + | 0.956437i | \(0.405700\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −90.0000 | −0.00359992 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 15724.5 | + | 27235.6i | 0.626766 | + | 1.08559i | 0.988196 | + | 0.153192i | \(0.0489552\pi\) |
−0.361430 | + | 0.932399i | \(0.617711\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12261.5 | + | 21237.5i | −0.487028 | + | 0.843557i | −0.999889 | − | 0.0149147i | \(-0.995252\pi\) |
0.512861 | + | 0.858472i | \(0.328586\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −735.000 | + | 3819.17i | −0.0290926 | + | 0.151170i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −4081.50 | + | 7069.37i | −0.160992 | + | 0.278846i | −0.935225 | − | 0.354055i | \(-0.884803\pi\) |
0.774233 | + | 0.632901i | \(0.218136\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 14701.5 | + | 25463.7i | 0.577880 | + | 1.00092i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −11560.0 | −0.452824 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −26277.0 | −1.02576 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −14665.0 | − | 25400.5i | −0.570499 | − | 0.988133i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −1834.00 | + | 3176.58i | −0.0711014 | + | 0.123151i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 21294.0 | + | 18441.1i | 0.822707 | + | 0.712485i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2183.50 | + | 3781.93i | −0.0840725 | + | 0.145618i | −0.904996 | − | 0.425421i | \(-0.860126\pi\) |
0.820923 | + | 0.571039i | \(0.193459\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −10395.0 | − | 18004.7i | −0.398879 | − | 0.690879i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −50190.0 | −1.91935 | −0.959673 | − | 0.281118i | \(-0.909295\pi\) | ||||
−0.959673 | + | 0.281118i | \(0.909295\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12308.0 | −0.469079 | −0.234540 | − | 0.972107i | \(-0.575358\pi\) | ||||
−0.234540 | + | 0.972107i | \(0.575358\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −4927.50 | − | 8534.68i | −0.187159 | − | 0.324170i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 15808.5 | − | 27381.1i | 0.598419 | − | 1.03649i | −0.394636 | − | 0.918838i | \(-0.629129\pi\) |
0.993055 | − | 0.117654i | \(-0.0375374\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 28784.0 | + | 24927.7i | 1.08592 | + | 0.940436i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 19123.5 | − | 33122.9i | 0.719036 | − | 1.24541i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −502.500 | − | 870.356i | −0.0188304 | − | 0.0326152i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11583.0 | 0.432600 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 24150.0 | 0.898935 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1311.00 | + | 2270.72i | 0.0486366 | + | 0.0842411i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10021.5 | − | 17357.7i | 0.370549 | − | 0.641810i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 2170.00 | − | 11275.7i | 0.0799702 | − | 0.415537i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −12033.0 | + | 20841.8i | −0.441978 | + | 0.765529i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −6762.50 | − | 11713.0i | −0.247569 | − | 0.428802i | 0.715282 | − | 0.698836i | \(-0.246298\pi\) |
−0.962851 | + | 0.270034i | \(0.912965\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 570.000 | 0.0207984 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 19248.0 | 0.700016 | 0.350008 | − | 0.936747i | \(-0.386179\pi\) | ||||
0.350008 | + | 0.936747i | \(0.386179\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −16758.0 | − | 29025.7i | −0.607458 | − | 1.05215i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −15952.5 | + | 27630.5i | −0.576364 | + | 0.998292i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 35857.5 | − | 12421.4i | 1.29130 | − | 0.447318i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −4347.50 | + | 7530.09i | −0.156051 | + | 0.270288i | −0.933441 | − | 0.358730i | \(-0.883210\pi\) |
0.777390 | + | 0.629019i | \(0.216543\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −24010.0 | − | 41586.5i | −0.859019 | − | 1.48786i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6720.00 | −0.239644 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11132.0 | 0.395695 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 499.000 | + | 864.293i | 0.0176799 | + | 0.0306226i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −9739.50 | + | 16869.3i | −0.343964 | + | 0.595763i | −0.985165 | − | 0.171610i | \(-0.945103\pi\) |
0.641201 | + | 0.767373i | \(0.278437\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1592.50 | + | 636.529i | 0.0560602 | + | 0.0224075i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 25327.5 | − | 43868.5i | 0.888730 | − | 1.53933i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 13081.5 | + | 22657.8i | 0.457552 | + | 0.792503i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −12502.0 | −0.435883 | −0.217942 | − | 0.975962i | \(-0.569934\pi\) | ||||
−0.217942 | + | 0.975962i | \(0.569934\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 53995.0 | 1.87653 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 7996.50 | + | 13850.3i | 0.277023 | + | 0.479818i | 0.970643 | − | 0.240523i | \(-0.0773189\pi\) |
−0.693621 | + | 0.720340i | \(0.743986\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1449.00 | + | 2509.74i | −0.0500381 | + | 0.0866685i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −22837.5 | + | 7911.14i | −0.786142 | + | 0.272327i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 22000.5 | − | 38106.0i | 0.754932 | − | 1.30758i | −0.190477 | − | 0.981692i | \(-0.561003\pi\) |
0.945408 | − | 0.325888i | \(-0.105663\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −10955.0 | − | 18974.6i | −0.374725 | − | 0.649043i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 2655.00 | 0.0905303 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4002.00 | −0.136031 | −0.0680155 | − | 0.997684i | \(-0.521667\pi\) | ||||
−0.0680155 | + | 0.997684i | \(0.521667\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18832.5 | − | 32618.8i | −0.638121 | − | 1.10526i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −16245.0 | + | 28137.2i | −0.548721 | + | 0.950413i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −493.500 | + | 2564.30i | −0.0166173 | + | 0.0863458i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14631.0 | − | 25341.6i | 0.491121 | − | 0.850647i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 1107.00 | + | 1917.38i | 0.0370432 | + | 0.0641607i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 765.000 | 0.0255194 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −10544.0 | −0.350643 | −0.175322 | − | 0.984511i | \(-0.556097\pi\) | ||||
−0.175322 | + | 0.984511i | \(0.556097\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 637.500 | + | 1104.18i | 0.0211346 | + | 0.0366062i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −3091.50 | + | 5354.64i | −0.102174 | + | 0.176971i | −0.912580 | − | 0.408898i | \(-0.865913\pi\) |
0.810406 | + | 0.585869i | \(0.199247\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20776.0 | − | 17992.5i | −0.684530 | − | 0.592821i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −7700.00 | + | 13336.8i | −0.252920 | + | 0.438071i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1861.50 | − | 3224.21i | −0.0609567 | − | 0.105580i | 0.833937 | − | 0.551860i | \(-0.186082\pi\) |
−0.894893 | + | 0.446280i | \(0.852748\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −57969.0 | −1.89244 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1846.00 | −0.0600798 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −22948.5 | − | 39748.0i | −0.744602 | − | 1.28969i | −0.950381 | − | 0.311089i | \(-0.899306\pi\) |
0.205779 | − | 0.978599i | \(-0.434027\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1755.00 | + | 3039.75i | −0.0567705 | + | 0.0983294i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −14070.0 | − | 12185.0i | −0.453752 | − | 0.392961i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 4278.00 | − | 7409.71i | 0.137545 | − | 0.238236i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3233.50 | + | 5600.59i | 0.103648 | + | 0.179524i | 0.913185 | − | 0.407545i | \(-0.133615\pi\) |
−0.809537 | + | 0.587069i | \(0.800282\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 35075.0 | 1.12092 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −25497.0 | −0.812371 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11519.5 | − | 19952.4i | −0.365924 | − | 0.633799i | 0.623000 | − | 0.782222i | \(-0.285914\pi\) |
−0.988924 | + | 0.148423i | \(0.952580\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −18342.5 | + | 31770.1i | −0.580912 | + | 1.00617i |
(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 | 112.4.i.a.65.1 | 2 | ||
4.3 | odd | 2 | 14.4.c.a.9.1 | ✓ | 2 | ||
7.2 | even | 3 | 784.4.a.p.1.1 | 1 | |||
7.4 | even | 3 | inner | 112.4.i.a.81.1 | 2 | ||
7.5 | odd | 6 | 784.4.a.c.1.1 | 1 | |||
8.3 | odd | 2 | 448.4.i.b.65.1 | 2 | |||
8.5 | even | 2 | 448.4.i.e.65.1 | 2 | |||
12.11 | even | 2 | 126.4.g.d.37.1 | 2 | |||
20.3 | even | 4 | 350.4.j.b.149.2 | 4 | |||
20.7 | even | 4 | 350.4.j.b.149.1 | 4 | |||
20.19 | odd | 2 | 350.4.e.e.51.1 | 2 | |||
28.3 | even | 6 | 98.4.c.a.67.1 | 2 | |||
28.11 | odd | 6 | 14.4.c.a.11.1 | yes | 2 | ||
28.19 | even | 6 | 98.4.a.f.1.1 | 1 | |||
28.23 | odd | 6 | 98.4.a.d.1.1 | 1 | |||
28.27 | even | 2 | 98.4.c.a.79.1 | 2 | |||
56.11 | odd | 6 | 448.4.i.b.193.1 | 2 | |||
56.53 | even | 6 | 448.4.i.e.193.1 | 2 | |||
84.11 | even | 6 | 126.4.g.d.109.1 | 2 | |||
84.23 | even | 6 | 882.4.a.f.1.1 | 1 | |||
84.47 | odd | 6 | 882.4.a.c.1.1 | 1 | |||
84.59 | odd | 6 | 882.4.g.u.361.1 | 2 | |||
84.83 | odd | 2 | 882.4.g.u.667.1 | 2 | |||
140.19 | even | 6 | 2450.4.a.d.1.1 | 1 | |||
140.39 | odd | 6 | 350.4.e.e.151.1 | 2 | |||
140.67 | even | 12 | 350.4.j.b.249.2 | 4 | |||
140.79 | odd | 6 | 2450.4.a.q.1.1 | 1 | |||
140.123 | even | 12 | 350.4.j.b.249.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.4.c.a.9.1 | ✓ | 2 | 4.3 | odd | 2 | ||
14.4.c.a.11.1 | yes | 2 | 28.11 | odd | 6 | ||
98.4.a.d.1.1 | 1 | 28.23 | odd | 6 | |||
98.4.a.f.1.1 | 1 | 28.19 | even | 6 | |||
98.4.c.a.67.1 | 2 | 28.3 | even | 6 | |||
98.4.c.a.79.1 | 2 | 28.27 | even | 2 | |||
112.4.i.a.65.1 | 2 | 1.1 | even | 1 | trivial | ||
112.4.i.a.81.1 | 2 | 7.4 | even | 3 | inner | ||
126.4.g.d.37.1 | 2 | 12.11 | even | 2 | |||
126.4.g.d.109.1 | 2 | 84.11 | even | 6 | |||
350.4.e.e.51.1 | 2 | 20.19 | odd | 2 | |||
350.4.e.e.151.1 | 2 | 140.39 | odd | 6 | |||
350.4.j.b.149.1 | 4 | 20.7 | even | 4 | |||
350.4.j.b.149.2 | 4 | 20.3 | even | 4 | |||
350.4.j.b.249.1 | 4 | 140.123 | even | 12 | |||
350.4.j.b.249.2 | 4 | 140.67 | even | 12 | |||
448.4.i.b.65.1 | 2 | 8.3 | odd | 2 | |||
448.4.i.b.193.1 | 2 | 56.11 | odd | 6 | |||
448.4.i.e.65.1 | 2 | 8.5 | even | 2 | |||
448.4.i.e.193.1 | 2 | 56.53 | even | 6 | |||
784.4.a.c.1.1 | 1 | 7.5 | odd | 6 | |||
784.4.a.p.1.1 | 1 | 7.2 | even | 3 | |||
882.4.a.c.1.1 | 1 | 84.47 | odd | 6 | |||
882.4.a.f.1.1 | 1 | 84.23 | even | 6 | |||
882.4.g.u.361.1 | 2 | 84.59 | odd | 6 | |||
882.4.g.u.667.1 | 2 | 84.83 | odd | 2 | |||
2450.4.a.d.1.1 | 1 | 140.19 | even | 6 | |||
2450.4.a.q.1.1 | 1 | 140.79 | odd | 6 |