Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1456,2,Mod(225,1456)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1456, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1456.225");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1456 = 2^{4} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1456.cc (of order \(6\), 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: | \(11.6262185343\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 12.0.58891012706304.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 5x^{10} - 2x^{9} + 15x^{8} + 2x^{7} - 30x^{6} + 4x^{5} + 60x^{4} - 16x^{3} - 80x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 673.1 | ||
Root | \(0.759479 - 1.19298i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.673 |
Dual form | 1456.2.cc.c.225.1 |
$q$-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 \(\left(\mathbb{Z}/1456\mathbb{Z}\right)^\times\).
\(n\) | \(561\) | \(911\) | \(1093\) | \(1249\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −1.41289 | − | 2.44719i | −0.815731 | − | 1.41289i | −0.908802 | − | 0.417228i | \(-0.863002\pi\) |
0.0930713 | − | 0.995659i | \(-0.470332\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | − | 0.518957i | − | 0.232085i | −0.993244 | − | 0.116042i | \(-0.962979\pi\) | ||
0.993244 | − | 0.116042i | \(-0.0370208\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.866025 | + | 0.500000i | 0.327327 | + | 0.188982i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.49250 | + | 4.31714i | −0.830833 | + | 1.43905i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.40656 | + | 0.812080i | −0.424095 | + | 0.244851i | −0.696828 | − | 0.717239i | \(-0.745406\pi\) |
0.272733 | + | 0.962090i | \(0.412072\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.42641 | + | 3.31140i | 0.395616 | + | 0.918416i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.26999 | + | 0.733228i | −0.327909 | + | 0.189319i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.974127 | − | 1.68724i | 0.236260 | − | 0.409215i | −0.723378 | − | 0.690452i | \(-0.757411\pi\) |
0.959638 | + | 0.281237i | \(0.0907448\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.15740 | − | 1.24558i | −0.494942 | − | 0.285755i | 0.231680 | − | 0.972792i | \(-0.425578\pi\) |
−0.726622 | + | 0.687037i | \(0.758911\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 2.82577i | − | 0.616634i | ||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 4.57029 | + | 7.91598i | 0.952971 | + | 1.65059i | 0.738943 | + | 0.673767i | \(0.235325\pi\) |
0.214028 | + | 0.976828i | \(0.431342\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 4.73068 | 0.946137 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.60916 | 1.07948 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.61498 | + | 4.52928i | 0.485589 | + | 0.841065i | 0.999863 | − | 0.0165608i | \(-0.00527172\pi\) |
−0.514274 | + | 0.857626i | \(0.671938\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 5.79391i | 1.04062i | 0.853978 | + | 0.520308i | \(0.174183\pi\) | ||||
−0.853978 | + | 0.520308i | \(0.825817\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 3.97463 | + | 2.29475i | 0.691894 | + | 0.399465i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.259479 | − | 0.449430i | 0.0438599 | − | 0.0759675i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.85879 | + | 5.11463i | −1.45638 | + | 0.840840i | −0.998831 | − | 0.0483462i | \(-0.984605\pi\) |
−0.457546 | + | 0.889186i | \(0.651272\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.08826 | − | 8.16934i | 0.974902 | − | 1.30814i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.64513 | − | 2.10452i | 0.569273 | − | 0.328670i | −0.187586 | − | 0.982248i | \(-0.560066\pi\) |
0.756859 | + | 0.653578i | \(0.226733\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.498655 | − | 0.863697i | 0.0760442 | − | 0.131712i | −0.825496 | − | 0.564408i | \(-0.809104\pi\) |
0.901540 | + | 0.432696i | \(0.142438\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.24041 | + | 1.29350i | 0.333980 | + | 0.192824i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.51725i | 0.658909i | 0.944171 | + | 0.329455i | \(0.106865\pi\) | ||||
−0.944171 | + | 0.329455i | \(0.893135\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −5.50532 | −0.770899 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.89651 | −1.22203 | −0.611015 | − | 0.791619i | \(-0.709238\pi\) | ||||
−0.611015 | + | 0.791619i | \(0.709238\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.421434 | + | 0.729946i | 0.0568262 | + | 0.0984259i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.03944i | 0.932397i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.37392 | + | 3.10263i | 0.699624 | + | 0.403928i | 0.807207 | − | 0.590268i | \(-0.200978\pi\) |
−0.107583 | + | 0.994196i | \(0.534311\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.73536 | − | 11.6660i | 0.862375 | − | 1.49368i | −0.00725571 | − | 0.999974i | \(-0.502310\pi\) |
0.869630 | − | 0.493703i | \(-0.164357\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.31714 | + | 2.49250i | −0.543908 | + | 0.314025i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.71847 | − | 0.740247i | 0.213150 | − | 0.0918164i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 7.25094 | − | 4.18633i | 0.885843 | − | 0.511442i | 0.0132624 | − | 0.999912i | \(-0.495778\pi\) |
0.872580 | + | 0.488470i | \(0.162445\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 12.9146 | − | 22.3688i | 1.55474 | − | 2.69288i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.50168 | + | 2.59905i | 0.534251 | + | 0.308450i | 0.742746 | − | 0.669573i | \(-0.233523\pi\) |
−0.208495 | + | 0.978023i | \(0.566856\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 11.8395i | − | 1.38571i | −0.721076 | − | 0.692856i | \(-0.756352\pi\) | ||
0.721076 | − | 0.692856i | \(-0.243648\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −6.68392 | − | 11.5769i | −0.771793 | − | 1.33678i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.62416 | −0.185090 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.982310 | −0.110518 | −0.0552592 | − | 0.998472i | \(-0.517599\pi\) | ||||
−0.0552592 | + | 0.998472i | \(0.517599\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.447609 | − | 0.775281i | −0.0497343 | − | 0.0861423i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 8.91851i | − | 0.978934i | −0.872022 | − | 0.489467i | \(-0.837191\pi\) | ||
0.872022 | − | 0.489467i | \(-0.162809\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.875603 | − | 0.505530i | −0.0949725 | − | 0.0548324i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 7.38934 | − | 12.7987i | 0.792220 | − | 1.37217i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −10.4087 | + | 6.00949i | −1.10332 | + | 0.637005i | −0.937092 | − | 0.349082i | \(-0.886494\pi\) |
−0.166233 | + | 0.986087i | \(0.553160\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.420388 | + | 3.58096i | −0.0440686 | + | 0.375387i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 14.1788 | − | 8.18614i | 1.47027 | − | 0.848863i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −0.646401 | + | 1.11960i | −0.0663194 | + | 0.114869i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.82981 | + | 2.21114i | 0.388858 | + | 0.224507i | 0.681665 | − | 0.731664i | \(-0.261256\pi\) |
−0.292807 | + | 0.956172i | \(0.594589\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 8.09643i | − | 0.813722i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 9.15132 | + | 15.8506i | 0.910591 | + | 1.57719i | 0.813231 | + | 0.581940i | \(0.197706\pi\) |
0.0973594 | + | 0.995249i | \(0.468960\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.02046 | 0.494680 | 0.247340 | − | 0.968929i | \(-0.420444\pi\) | ||||
0.247340 | + | 0.968929i | \(0.420444\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −1.46646 | −0.143111 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.07228 | + | 5.32134i | 0.297008 | + | 0.514434i | 0.975450 | − | 0.220221i | \(-0.0706777\pi\) |
−0.678442 | + | 0.734654i | \(0.737344\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 11.8962i | − | 1.13945i | −0.821834 | − | 0.569727i | \(-0.807049\pi\) | ||
0.821834 | − | 0.569727i | \(-0.192951\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 25.0330 | + | 14.4528i | 2.37602 | + | 1.37180i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.77806 | + | 3.07969i | −0.167266 | + | 0.289713i | −0.937458 | − | 0.348099i | \(-0.886827\pi\) |
0.770192 | + | 0.637812i | \(0.220161\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.10805 | − | 2.37178i | 0.383078 | − | 0.221170i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −17.8511 | − | 2.09563i | −1.65033 | − | 0.193741i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 1.68724 | − | 0.974127i | 0.154669 | − | 0.0892980i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −4.18105 | + | 7.24180i | −0.380096 | + | 0.658345i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −10.3003 | − | 5.94689i | −0.928748 | − | 0.536213i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 5.04981i | − | 0.451668i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.711749 | + | 1.23279i | 0.0631575 | + | 0.109392i | 0.895875 | − | 0.444306i | \(-0.146550\pi\) |
−0.832718 | + | 0.553698i | \(0.813216\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −2.81818 | −0.248127 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −8.67374 | −0.757828 | −0.378914 | − | 0.925432i | \(-0.623702\pi\) | ||||
−0.378914 | + | 0.925432i | \(0.623702\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.24558 | − | 2.15740i | −0.108005 | − | 0.187071i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − | 2.91091i | − | 0.250531i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.37667 | + | 4.25892i | 0.630231 | + | 0.363864i | 0.780842 | − | 0.624729i | \(-0.214791\pi\) |
−0.150611 | + | 0.988593i | \(0.548124\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.51922 | + | 4.36342i | −0.213677 | + | 0.370100i | −0.952863 | − | 0.303402i | \(-0.901877\pi\) |
0.739185 | + | 0.673502i | \(0.235211\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 11.0546 | − | 6.38237i | 0.930964 | − | 0.537493i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −4.69546 | − | 3.49933i | −0.392654 | − | 0.292628i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.35050 | − | 1.35706i | 0.195198 | − | 0.112698i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.41289 | − | 2.44719i | 0.116533 | − | 0.201841i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.91409 | + | 1.68245i | 0.238732 | + | 0.137832i | 0.614594 | − | 0.788844i | \(-0.289320\pi\) |
−0.375862 | + | 0.926676i | \(0.622653\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 12.6566i | − | 1.02998i | −0.857196 | − | 0.514991i | \(-0.827795\pi\) | ||
0.857196 | − | 0.514991i | \(-0.172205\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.85602 | + | 8.41087i | 0.392586 | + | 0.679979i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.00679 | 0.241511 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.3691 | 0.827547 | 0.413773 | − | 0.910380i | \(-0.364211\pi\) | ||||
0.413773 | + | 0.910380i | \(0.364211\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 12.5698 | + | 21.7715i | 0.996847 | + | 1.72659i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 9.14058i | 0.720379i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −13.6428 | − | 7.87669i | −1.06859 | − | 0.616950i | −0.140794 | − | 0.990039i | \(-0.544965\pi\) |
−0.927796 | + | 0.373089i | \(0.878299\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.19088 | − | 2.06266i | 0.0927098 | − | 0.160578i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 14.2016 | − | 8.19930i | 1.09895 | − | 0.634481i | 0.163007 | − | 0.986625i | \(-0.447881\pi\) |
0.935946 | + | 0.352144i | \(0.114547\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.93069 | + | 9.44684i | −0.686976 | + | 0.726680i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 10.7547 | − | 6.20920i | 0.822429 | − | 0.474830i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −0.150677 | + | 0.260981i | −0.0114558 | + | 0.0198420i | −0.871696 | − | 0.490046i | \(-0.836980\pi\) |
0.860241 | + | 0.509888i | \(0.170313\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.09689 | + | 2.36534i | 0.309696 | + | 0.178803i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 17.5347i | − | 1.31799i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.90791 | + | 8.50075i | 0.366834 | + | 0.635376i | 0.989069 | − | 0.147455i | \(-0.0471083\pi\) |
−0.622234 | + | 0.782831i | \(0.713775\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.4320 | 0.924062 | 0.462031 | − | 0.886864i | \(-0.347121\pi\) | ||||
0.462031 | + | 0.886864i | \(0.347121\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −38.0652 | −2.81386 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 2.65427 | + | 4.59733i | 0.195146 | + | 0.338003i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.16427i | 0.231395i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.85767 | + | 2.80458i | 0.353344 | + | 0.204003i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.12346 | + | 10.6061i | −0.443078 | + | 0.767434i | −0.997916 | − | 0.0645248i | \(-0.979447\pi\) |
0.554838 | + | 0.831958i | \(0.312780\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.0752 | + | 5.81692i | −0.725229 | + | 0.418711i | −0.816674 | − | 0.577099i | \(-0.804185\pi\) |
0.0914452 | + | 0.995810i | \(0.470851\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.23953 | − | 3.15955i | −0.303599 | − | 0.226260i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −1.55984 | + | 0.900572i | −0.111134 | + | 0.0641631i | −0.554537 | − | 0.832159i | \(-0.687104\pi\) |
0.443403 | + | 0.896322i | \(0.353771\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −3.29657 | + | 5.70982i | −0.233687 | + | 0.404759i | −0.958890 | − | 0.283777i | \(-0.908413\pi\) |
0.725203 | + | 0.688535i | \(0.241746\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −20.4895 | − | 11.8296i | −1.44522 | − | 0.834397i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 5.22996i | 0.367071i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.09215 | − | 1.89166i | −0.0762793 | − | 0.132120i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −45.5658 | −3.16704 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.04603 | 0.279870 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.35996 | + | 9.28373i | 0.368995 | + | 0.639118i | 0.989409 | − | 0.145157i | \(-0.0463686\pi\) |
−0.620414 | + | 0.784275i | \(0.713035\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 14.6886i | − | 1.00645i | ||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −0.448221 | − | 0.258781i | −0.0305684 | − | 0.0176487i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.89695 | + | 5.01767i | −0.196658 | + | 0.340622i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −28.9736 | + | 16.7279i | −1.95785 | + | 1.13037i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 6.97662 | + | 0.819021i | 0.469298 | + | 0.0550933i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.1612 | − | 6.44392i | 0.747409 | − | 0.431517i | −0.0773480 | − | 0.997004i | \(-0.524645\pi\) |
0.824757 | + | 0.565487i | \(0.191312\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −11.7912 | + | 20.4230i | −0.786082 | + | 1.36153i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.605486 | + | 0.349577i | 0.0401875 | + | 0.0232023i | 0.519959 | − | 0.854191i | \(-0.325947\pi\) |
−0.479772 | + | 0.877393i | \(0.659280\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 18.2868i | 1.20843i | 0.796822 | + | 0.604214i | \(0.206513\pi\) | ||||
−0.796822 | + | 0.604214i | \(0.793487\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 2.29475 | + | 3.97463i | 0.150984 | + | 0.261511i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −26.7796 | −1.75439 | −0.877194 | − | 0.480137i | \(-0.840587\pi\) | ||||
−0.877194 | + | 0.480137i | \(0.840587\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.34426 | 0.152923 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1.38789 | + | 2.40390i | 0.0901533 | + | 0.156150i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 16.6177i | − | 1.07491i | −0.843293 | − | 0.537454i | \(-0.819386\pi\) | ||
0.843293 | − | 0.537454i | \(-0.180614\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.0800 | + | 8.70643i | 0.971387 | + | 0.560830i | 0.899659 | − | 0.436594i | \(-0.143815\pi\) |
0.0717279 | + | 0.997424i | \(0.477149\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 7.14890 | − | 12.3823i | 0.458602 | − | 0.794322i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.449430 | − | 0.259479i | 0.0287130 | − | 0.0165775i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.04725 | − | 8.92073i | 0.0666350 | − | 0.567612i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −21.8253 | + | 12.6008i | −1.38312 | + | 0.798546i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.22491 | − | 5.58571i | 0.203554 | − | 0.352567i | −0.746117 | − | 0.665815i | \(-0.768084\pi\) |
0.949671 | + | 0.313249i | \(0.101417\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −12.8568 | − | 7.42288i | −0.808300 | − | 0.466672i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 2.85703i | 0.178914i | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −1.83578 | − | 3.17966i | −0.114513 | − | 0.198342i | 0.803072 | − | 0.595882i | \(-0.203197\pi\) |
−0.917585 | + | 0.397540i | \(0.869864\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.2293 | −0.635615 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −26.0713 | −1.61377 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 9.15964 | + | 15.8650i | 0.564807 | + | 0.978275i | 0.997068 | + | 0.0765263i | \(0.0243829\pi\) |
−0.432260 | + | 0.901749i | \(0.642284\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.61690i | 0.283614i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 29.4128 | + | 16.9815i | 1.80003 | + | 1.03925i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −13.7715 | + | 23.8529i | −0.839661 | + | 1.45434i | 0.0505171 | + | 0.998723i | \(0.483913\pi\) |
−0.890178 | + | 0.455613i | \(0.849420\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −5.64582 | + | 3.25961i | −0.342959 | + | 0.198007i | −0.661580 | − | 0.749875i | \(-0.730114\pi\) |
0.318621 | + | 0.947882i | \(0.396780\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 9.35726 | − | 4.03072i | 0.566327 | − | 0.243950i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −6.65401 | + | 3.84169i | −0.401252 | + | 0.231663i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.72093 | − | 4.71279i | 0.163485 | − | 0.283164i | −0.772631 | − | 0.634855i | \(-0.781060\pi\) |
0.936116 | + | 0.351691i | \(0.114393\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −25.0131 | − | 14.4413i | −1.49749 | − | 0.864579i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3.54237i | 0.211320i | 0.994402 | + | 0.105660i | \(0.0336955\pi\) | ||||
−0.994402 | + | 0.105660i | \(0.966304\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.06956 | + | 12.2448i | 0.420242 | + | 0.727880i | 0.995963 | − | 0.0897658i | \(-0.0286119\pi\) |
−0.575721 | + | 0.817646i | \(0.695279\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 3.65317 | 0.216395 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.20903 | 0.248451 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 6.60215 | + | 11.4353i | 0.388362 | + | 0.672663i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 12.4964i | − | 0.732551i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −7.23071 | − | 4.17465i | −0.422423 | − | 0.243886i | 0.273691 | − | 0.961818i | \(-0.411756\pi\) |
−0.696113 | + | 0.717932i | \(0.745089\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.61013 | − | 2.78883i | 0.0937455 | − | 0.162372i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −7.88964 | + | 4.55508i | −0.457803 | + | 0.264313i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −19.6938 | + | 26.4255i | −1.13892 | + | 1.52823i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.863697 | − | 0.498655i | 0.0497826 | − | 0.0287420i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 25.8596 | − | 44.7901i | 1.48559 | − | 2.57312i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −6.05415 | − | 3.49536i | −0.346659 | − | 0.200144i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8.33362i | 0.475625i | 0.971311 | + | 0.237813i | \(0.0764304\pi\) | ||||
−0.971311 | + | 0.237813i | \(0.923570\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.09334 | − | 12.2860i | −0.403526 | − | 0.698927i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −14.6227 | −0.829176 | −0.414588 | − | 0.910009i | \(-0.636074\pi\) | ||||
−0.414588 | + | 0.910009i | \(0.636074\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 17.1328 | 0.968404 | 0.484202 | − | 0.874956i | \(-0.339110\pi\) | ||||
0.484202 | + | 0.874956i | \(0.339110\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.29350 | + | 2.24041i | 0.0728805 | + | 0.126233i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 14.0000i | 0.786320i | 0.919470 | + | 0.393160i | \(0.128618\pi\) | ||||
−0.919470 | + | 0.393160i | \(0.871382\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.35627 | − | 4.24714i | −0.411872 | − | 0.237794i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 8.68157 | − | 15.0369i | 0.484558 | − | 0.839279i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −4.20317 | + | 2.42670i | −0.233871 | + | 0.135025i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.74791 | + | 15.6652i | 0.374307 | + | 0.868947i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −29.1124 | + | 16.8081i | −1.60992 | + | 0.929487i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.25863 | + | 3.91206i | −0.124522 | + | 0.215679i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.99286 | − | 3.45998i | −0.329397 | − | 0.190178i | 0.326176 | − | 0.945309i | \(-0.394240\pi\) |
−0.655574 | + | 0.755131i | \(0.727573\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − | 50.9928i | − | 2.79439i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.17253 | − | 3.76292i | −0.118698 | − | 0.205591i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.1559 | 0.607703 | 0.303852 | − | 0.952719i | \(-0.401727\pi\) | ||||
0.303852 | + | 0.952719i | \(0.401727\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 10.0488 | 0.545776 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.70512 | − | 8.14950i | −0.254796 | − | 0.441320i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −11.6084 | − | 6.70213i | −0.624977 | − | 0.360830i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.46255 | + | 4.26527i | −0.132197 | + | 0.228971i | −0.924523 | − | 0.381126i | \(-0.875536\pi\) |
0.792326 | + | 0.610097i | \(0.208870\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.31926 | − | 0.761675i | 0.0706183 | − | 0.0407715i | −0.464275 | − | 0.885691i | \(-0.653685\pi\) |
0.534893 | + | 0.844920i | \(0.320352\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 8.00098 | + | 18.5741i | 0.427061 | + | 0.991415i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 15.5261 | − | 8.96401i | 0.826372 | − | 0.477106i | −0.0262367 | − | 0.999656i | \(-0.508352\pi\) |
0.852609 | + | 0.522550i | \(0.175019\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.34879 | − | 2.33618i | 0.0715865 | − | 0.123991i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −4.76775 | − | 2.75266i | −0.252336 | − | 0.145686i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 20.0014i | 1.05563i | 0.849359 | + | 0.527816i | \(0.176989\pi\) | ||||
−0.849359 | + | 0.527816i | \(0.823011\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.39707 | − | 11.0801i | −0.336688 | − | 0.583161i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 23.6294 | 1.24022 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −6.14421 | −0.321602 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.7078 | + | 23.7427i | 0.715544 | + | 1.23936i | 0.962749 | + | 0.270395i | \(0.0871543\pi\) |
−0.247206 | + | 0.968963i | \(0.579512\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 20.9820i | 1.09228i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.70460 | − | 4.44825i | −0.400003 | − | 0.230942i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.94643 | − | 13.7636i | 0.411451 | − | 0.712653i | −0.583598 | − | 0.812043i | \(-0.698356\pi\) |
0.995049 | + | 0.0993893i | \(0.0316889\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −12.3578 | + | 7.13481i | −0.638156 | + | 0.368440i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −11.2682 | + | 15.1199i | −0.580341 | + | 0.778712i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.60284 | + | 4.38950i | −0.390532 | + | 0.225474i | −0.682390 | − | 0.730988i | \(-0.739060\pi\) |
0.291859 | + | 0.956461i | \(0.405726\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.01124 | − | 3.48357i | 0.103039 | − | 0.178469i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −6.89562 | − | 3.98119i | −0.352349 | − | 0.203429i | 0.313370 | − | 0.949631i | \(-0.398542\pi\) |
−0.665720 | + | 0.746202i | \(0.731875\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.842869i | 0.0429566i | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 2.48580 | + | 4.30553i | 0.126360 | + | 0.218862i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −32.0434 | −1.62467 | −0.812333 | − | 0.583194i | \(-0.801803\pi\) | ||||
−0.812333 | + | 0.583194i | \(0.801803\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 17.8082 | 0.900598 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 12.2550 | + | 21.2263i | 0.618184 | + | 1.07073i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.509777i | 0.0256496i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.57251 | + | 3.21729i | 0.279676 | + | 0.161471i | 0.633277 | − | 0.773925i | \(-0.281710\pi\) |
−0.353601 | + | 0.935396i | \(0.615043\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.51972 | + | 6.09633i | −0.176206 | + | 0.305198i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −0.462092 | + | 0.266789i | −0.0230758 | + | 0.0133228i | −0.511494 | − | 0.859287i | \(-0.670908\pi\) |
0.488418 | + | 0.872610i | \(0.337574\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.1859 | + | 8.26451i | −0.955719 | + | 0.411685i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.402337 | + | 0.232290i | −0.0199923 | + | 0.0115426i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8.30697 | − | 14.3881i | 0.411761 | − | 0.713191i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −34.4269 | − | 19.8764i | −1.70230 | − | 0.982824i | −0.943424 | − | 0.331590i | \(-0.892415\pi\) |
−0.758877 | − | 0.651234i | \(-0.774252\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − | 24.0695i | − | 1.18726i | ||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.10263 | + | 5.37392i | 0.152671 | + | 0.264433i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.62832 | −0.227195 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 14.2375 | 0.697213 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 11.9088 | + | 20.6266i | 0.581783 | + | 1.00768i | 0.995268 | + | 0.0971665i | \(0.0309779\pi\) |
−0.413485 | + | 0.910511i | \(0.635689\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 23.2419i | − | 1.13274i | −0.824151 | − | 0.566370i | \(-0.808347\pi\) | ||
0.824151 | − | 0.566370i | \(-0.191653\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −19.5016 | − | 11.2593i | −0.948200 | − | 0.547444i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 4.60828 | − | 7.98178i | 0.223535 | − | 0.387173i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.6660 | − | 6.73536i | 0.564557 | − | 0.325947i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.92937 | + | 16.4348i | −0.0931510 | + | 0.793482i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.34424 | − | 1.35345i | 0.112918 | − | 0.0651932i | −0.442477 | − | 0.896780i | \(-0.645900\pi\) |
0.555395 | + | 0.831586i | \(0.312567\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.90945 | + | 5.03932i | −0.139819 | + | 0.242174i | −0.927428 | − | 0.374002i | \(-0.877985\pi\) |
0.787609 | + | 0.616176i | \(0.211319\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −6.64198 | − | 3.83475i | −0.318459 | − | 0.183862i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 22.7706i | − | 1.08927i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.0851 | − | 33.0563i | −0.910882 | − | 1.57769i | −0.812822 | − | 0.582513i | \(-0.802070\pi\) |
−0.0980599 | − | 0.995181i | \(-0.531264\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.98500 | −0.237381 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 31.6740 | 1.50488 | 0.752440 | − | 0.658661i | \(-0.228877\pi\) | ||||
0.752440 | + | 0.658661i | \(0.228877\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.11867 | + | 5.40169i | 0.147839 | + | 0.256065i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 9.50845i | − | 0.449734i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 27.1975 | + | 15.7025i | 1.28353 | + | 0.741045i | 0.977491 | − | 0.210975i | \(-0.0676638\pi\) |
0.306036 | + | 0.952020i | \(0.400997\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.41807 | + | 5.92027i | −0.160951 | + | 0.278775i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −30.9732 | + | 17.8824i | −1.45525 | + | 0.840187i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.85836 | + | 0.218163i | 0.0871215 | + | 0.0102276i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 27.5640 | − | 15.9141i | 1.28939 | − | 0.744429i | 0.310844 | − | 0.950461i | \(-0.399388\pi\) |
0.978545 | + | 0.206032i | \(0.0660551\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 5.46403 | − | 9.46398i | 0.255039 | − | 0.441741i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.01005 | + | 0.583153i | 0.0470427 | + | 0.0271601i | 0.523337 | − | 0.852126i | \(-0.324687\pi\) |
−0.476294 | + | 0.879286i | \(0.658020\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 20.3441i | − | 0.945469i | −0.881205 | − | 0.472734i | \(-0.843267\pi\) | ||
0.881205 | − | 0.472734i | \(-0.156733\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −4.24825 | − | 7.35819i | −0.197008 | − | 0.341228i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.56939 | −0.0726229 | −0.0363114 | − | 0.999341i | \(-0.511561\pi\) | ||||
−0.0363114 | + | 0.999341i | \(0.511561\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 8.37266 | 0.386614 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −14.6504 | − | 25.3753i | −0.675055 | − | 1.16923i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 1.61979i | 0.0744781i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.2060 | − | 5.89243i | −0.468283 | − | 0.270363i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 22.1745 | − | 38.4074i | 1.01530 | − | 1.75856i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −6.68501 | + | 3.85959i | −0.305446 | + | 0.176349i | −0.644887 | − | 0.764278i | \(-0.723095\pi\) |
0.339441 | + | 0.940627i | \(0.389762\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −29.5729 | − | 22.0394i | −1.34841 | − | 1.00491i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 22.3688 | − | 12.9146i | 1.01781 | − | 0.587635i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.14749 | − | 1.98751i | 0.0521047 | − | 0.0902481i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.0659739 | + | 0.0380900i | 0.00298956 | + | 0.00172602i | 0.501494 | − | 0.865161i | \(-0.332784\pi\) |
−0.498504 | + | 0.866887i | \(0.666117\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 44.5155i | 2.01306i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.893574 | − | 1.54772i | −0.0403264 | − | 0.0698474i | 0.845158 | − | 0.534517i | \(-0.179506\pi\) |
−0.885484 | + | 0.464670i | \(0.846173\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.1893 | 0.458902 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.20170 | −0.188852 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.59905 | + | 4.50168i | 0.116583 | + | 0.201928i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 8.33493i | 0.373123i | 0.982443 | + | 0.186561i | \(0.0597343\pi\) | ||||
−0.982443 | + | 0.186561i | \(0.940266\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −40.1305 | − | 23.1694i | −1.79290 | − | 1.03513i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.720238 | − | 1.24749i | 0.0321138 | − | 0.0556228i | −0.849522 | − | 0.527554i | \(-0.823109\pi\) |
0.881636 | + | 0.471931i | \(0.156443\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.22576 | − | 4.74914i | 0.366041 | − | 0.211334i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 35.7363 | + | 8.50779i | 1.58710 | + | 0.377844i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 12.8394 | − | 7.41282i | 0.569096 | − | 0.328568i | −0.187692 | − | 0.982228i | \(-0.560101\pi\) |
0.756788 | + | 0.653660i | \(0.226767\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.91976 | − | 10.2533i | 0.261875 | − | 0.453581i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −12.1012 | − | 6.98664i | −0.534282 | − | 0.308468i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | − | 2.60540i | − | 0.114808i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.66837 | − | 6.35380i | −0.161335 | − | 0.279440i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.851561 | 0.0373794 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.334388 | −0.0146498 | −0.00732489 | − | 0.999973i | \(-0.502332\pi\) | ||||
−0.00732489 | + | 0.999973i | \(0.502332\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.2533 | − | 28.1515i | −0.710705 | − | 1.23098i | −0.964593 | − | 0.263744i | \(-0.915043\pi\) |
0.253887 | − | 0.967234i | \(-0.418291\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | − | 13.3678i | − | 0.583420i | ||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 9.77570 | + | 5.64400i | 0.425836 | + | 0.245857i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −30.2751 | + | 52.4380i | −1.31631 | + | 2.27991i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −26.7890 | + | 15.4666i | −1.16254 | + | 0.671194i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.1683 | + | 9.06855i | 0.527070 | + | 0.392803i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.76155 | − | 1.59438i | 0.119392 | − | 0.0689311i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 13.8686 | − | 24.0212i | 0.598476 | − | 1.03659i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −1.40656 | − | 0.812080i | −0.0605850 | − | 0.0349787i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.6015i | 0.455796i | 0.973685 | + | 0.227898i | \(0.0731852\pi\) | ||||
−0.973685 | + | 0.227898i | \(0.926815\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −17.5650 | − | 30.4235i | −0.753786 | − | 1.30560i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −6.17364 | −0.264450 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.2327 | −0.437519 | −0.218760 | − | 0.975779i | \(-0.570201\pi\) | ||||
−0.218760 | + | 0.975779i | \(0.570201\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 33.5758 | + | 58.1549i | 1.43298 | + | 2.48199i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 13.0286i | − | 0.555038i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.850705 | − | 0.491155i | −0.0361757 | − | 0.0208860i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 7.50037 | − | 12.9910i | 0.318373 | − | 0.551438i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 27.7067 | − | 15.9965i | 1.17397 | − | 0.677793i | 0.219359 | − | 0.975644i | \(-0.429603\pi\) |
0.954612 | + | 0.297851i | \(0.0962700\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.57133 | + | 0.419257i | 0.151051 | + | 0.0177327i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 7.74359 | − | 4.47076i | 0.326934 | − | 0.188756i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −5.39566 | + | 9.34556i | −0.227400 | + | 0.393868i | −0.957037 | − | 0.289967i | \(-0.906356\pi\) |
0.729637 | + | 0.683835i | \(0.239689\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.59823 | + | 0.922737i | 0.0672380 | + | 0.0388199i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − | 0.895217i | − | 0.0375956i | ||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −12.3007 | − | 21.3054i | −0.515672 | − | 0.893170i | −0.999835 | − | 0.0181917i | \(-0.994209\pi\) |
0.484163 | − | 0.874978i | \(-0.339124\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.5724 | 0.693534 | 0.346767 | − | 0.937951i | \(-0.387279\pi\) | ||||
0.346767 | + | 0.937951i | \(0.387279\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 34.6070 | 1.44573 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 21.6206 | + | 37.4480i | 0.901641 | + | 1.56169i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 14.6611i | − | 0.610348i | −0.952297 | − | 0.305174i | \(-0.901285\pi\) | ||
0.952297 | − | 0.305174i | \(-0.0987147\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 28.4702 | + | 16.4373i | 1.18318 | + | 0.683111i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 4.45926 | − | 7.72366i | 0.185001 | − | 0.320431i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 12.5135 | − | 7.22467i | 0.518256 | − | 0.299215i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.08754 | + | 9.26394i | −0.0449644 | + | 0.383017i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −30.5998 | + | 17.6668i | −1.26299 | + | 0.729186i | −0.973652 | − | 0.228041i | \(-0.926768\pi\) |
−0.289336 | + | 0.957227i | \(0.593435\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 7.21676 | − | 12.4998i | 0.297362 | − | 0.515045i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 4.40775 | + | 2.54481i | 0.181310 | + | 0.104680i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 16.4294i | 0.674675i | 0.941384 | + | 0.337338i | \(0.109526\pi\) | ||||
−0.941384 | + | 0.337338i | \(0.890474\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.505530 | − | 0.875603i | −0.0207247 | − | 0.0358962i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 18.6307 | 0.762504 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −12.0819 | −0.493653 | −0.246826 | − | 0.969060i | \(-0.579388\pi\) | ||||
−0.246826 | + | 0.969060i | \(0.579388\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.90743 | − | 6.76787i | −0.159387 | − | 0.276067i | 0.775261 | − | 0.631642i | \(-0.217619\pi\) |
−0.934648 | + | 0.355574i | \(0.884285\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 41.7377i | 1.69969i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 3.75818 | + | 2.16979i | 0.152792 | + | 0.0882144i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 17.7825 | − | 30.8001i | 0.721768 | − | 1.25014i | −0.238523 | − | 0.971137i | \(-0.576663\pi\) |
0.960291 | − | 0.279002i | \(-0.0900035\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 12.7987 | − | 7.38934i | 0.518630 | − | 0.299431i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −14.9584 | + | 6.44347i | −0.605153 | + | 0.260675i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.3376 | + | 5.96839i | −0.417530 | + | 0.241061i | −0.694020 | − | 0.719956i | \(-0.744162\pi\) |
0.276490 | + | 0.961017i | \(0.410829\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.08618 | + | 5.34542i | −0.124447 | + | 0.215548i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −20.4124 | − | 11.7851i | −0.821772 | − | 0.474450i | 0.0292550 | − | 0.999572i | \(-0.490687\pi\) |
−0.851027 | + | 0.525122i | \(0.824020\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 28.5571i | − | 1.14781i | −0.818923 | − | 0.573904i | \(-0.805428\pi\) | ||
0.818923 | − | 0.573904i | \(-0.194572\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 25.6355 | + | 44.4020i | 1.02872 | + | 1.78179i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −12.0190 | −0.481530 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.0328 | 0.841311 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.71659 | − | 9.90142i | −0.228298 | − | 0.395425i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 19.9292i | 0.794628i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 38.9646 | + | 22.4962i | 1.55116 | + | 0.895561i | 0.998048 | + | 0.0624526i | \(0.0198922\pi\) |
0.553109 | + | 0.833109i | \(0.313441\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 15.1460 | − | 26.2337i | 0.602001 | − | 1.04270i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.639763 | − | 0.369367i | 0.0253882 | − | 0.0146579i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −2.15455 | + | 2.89101i | −0.0853662 | + | 0.114546i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −22.4409 | + | 12.9562i | −0.887747 | + | 0.512541i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.26650 | + | 2.19364i | −0.0500238 | + | 0.0866437i | −0.889953 | − | 0.456052i | \(-0.849263\pi\) |
0.839929 | + | 0.542696i | \(0.182596\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.9150 | − | 9.18853i | −0.627627 | − | 0.362360i | 0.152206 | − | 0.988349i | \(-0.451362\pi\) |
−0.779832 | + | 0.625988i | \(0.784696\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 1.46251i | 0.0575863i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.4643 | − | 18.1248i | −0.411396 | − | 0.712558i | 0.583647 | − | 0.812008i | \(-0.301625\pi\) |
−0.995043 | + | 0.0994494i | \(0.968292\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −10.0783 | −0.395609 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 16.3723 | 0.641680 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 24.0580 | + | 41.6696i | 0.941461 | + | 1.63066i | 0.762686 | + | 0.646769i | \(0.223880\pi\) |
0.178775 | + | 0.983890i | \(0.442786\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.50130i | 0.175880i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 51.1129 | + | 29.5100i | 1.99410 | + | 1.15130i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.10819 | + | 1.91944i | −0.0431690 | + | 0.0747708i | −0.886803 | − | 0.462148i | \(-0.847079\pi\) |
0.843634 | + | 0.536919i | \(0.180412\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.552034 | + | 0.318717i | −0.0214716 | + | 0.0123966i | −0.510697 | − | 0.859761i | \(-0.670613\pi\) |
0.489226 | + | 0.872157i | \(0.337279\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7.85287 | − | 18.2303i | −0.304980 | − | 0.708006i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −1.11960 | + | 0.646401i | −0.0434162 | + | 0.0250664i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −23.9024 | + | 41.4002i | −0.925506 | + | 1.60302i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −31.5390 | − | 18.2091i | −1.21937 | − | 0.704003i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 21.8786i | 0.844614i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.70343 | + | 13.3427i | 0.296945 | + | 0.514324i | 0.975436 | − | 0.220285i | \(-0.0706988\pi\) |
−0.678490 | + | 0.734609i | \(0.737365\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 26.5352 | 1.02134 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −11.6812 | −0.448945 | −0.224473 | − | 0.974480i | \(-0.572066\pi\) | ||||
−0.224473 | + | 0.974480i | \(0.572066\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 2.21114 | + | 3.82981i | 0.0848559 | + | 0.146975i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 1.97565i | − | 0.0757072i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −19.8419 | − | 11.4557i | −0.759227 | − | 0.438340i | 0.0697909 | − | 0.997562i | \(-0.477767\pi\) |
−0.829018 | + | 0.559221i | \(0.811100\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.21020 | − | 3.82817i | 0.0844473 | − | 0.146267i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 44.7514 | − | 25.8372i | 1.70737 | − | 0.985752i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −12.6901 | − | 29.4599i | −0.483454 | − | 1.12233i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 40.9046 | − | 23.6163i | 1.55608 | − | 0.898405i | 0.558458 | − | 0.829533i | \(-0.311393\pi\) |
0.997625 | − | 0.0688729i | \(-0.0219403\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 4.04822 | − | 7.01172i | 0.153779 | − | 0.266353i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.26443 | + | 1.30737i | 0.0858946 | + | 0.0495913i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 8.20026i | − | 0.310607i | ||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 37.8365 | + | 65.5347i | 1.43111 | + | 2.47875i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 12.2098 | 0.461158 | 0.230579 | − | 0.973054i | \(-0.425938\pi\) | ||||
0.230579 | + | 0.973054i | \(0.425938\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 25.4827 | 0.961097 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −3.31218 | − | 5.73686i | −0.124744 | − | 0.216063i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 18.3026i | 0.688342i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −15.4910 | − | 8.94374i | −0.581777 | − | 0.335889i | 0.180062 | − | 0.983655i | \(-0.442370\pi\) |
−0.761839 | + | 0.647766i | \(0.775703\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.44841 | − | 4.24076i | 0.0918224 | − | 0.159041i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −45.8644 | + | 26.4798i | −1.71764 | + | 0.991678i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.81600 | + | 2.43674i | −0.0679146 | + | 0.0911290i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −40.6667 | + | 23.4789i | −1.51872 | + | 0.876836i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −4.56317 | + | 7.90364i | −0.170178 | + | 0.294756i | −0.938482 | − | 0.345329i | \(-0.887767\pi\) |
0.768304 | + | 0.640085i | \(0.221101\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.34784 | + | 2.51023i | 0.161922 | + | 0.0934858i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 49.2048i | − | 1.82995i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 12.3706 | + | 21.4266i | 0.459434 | + | 0.795763i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −33.6859 | −1.24934 | −0.624670 | − | 0.780889i | \(-0.714767\pi\) | ||||
−0.624670 | + | 0.780889i | \(0.714767\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −43.0880 | −1.59585 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −0.971507 | − | 1.68270i | −0.0359325 | − | 0.0622369i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 46.4344i | − | 1.71509i | −0.514406 | − | 0.857547i | \(-0.671987\pi\) | ||
0.514406 | − | 0.857547i | \(-0.328013\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1.26999 | − | 0.733228i | −0.0468442 | − | 0.0270455i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −6.79927 | + | 11.7767i | −0.250454 | + | 0.433799i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.60237 | − | 0.925127i | 0.0589440 | − | 0.0340314i | −0.470238 | − | 0.882539i | \(-0.655832\pi\) |
0.529182 | + | 0.848508i | \(0.322499\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −23.3104 | + | 10.0412i | −0.856328 | + | 0.368871i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −28.7095 | + | 16.5755i | −1.05325 | + | 0.608094i | −0.923558 | − | 0.383460i | \(-0.874732\pi\) |
−0.129693 | + | 0.991554i | \(0.541399\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.873120 | − | 1.51229i | 0.0319886 | − | 0.0554059i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 38.5024 | + | 22.2294i | 1.40873 | + | 0.813331i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 6.14456i | 0.224517i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 10.3871 | + | 17.9910i | 0.379032 | + | 0.656503i | 0.990922 | − | 0.134441i | \(-0.0429237\pi\) |
−0.611890 | + | 0.790943i | \(0.709590\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −18.2257 | −0.664182 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −6.56824 | −0.239043 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −21.8075 | − | 37.7717i | −0.792607 | − | 1.37283i | −0.924348 | − | 0.381551i | \(-0.875390\pi\) |
0.131741 | − | 0.991284i | \(-0.457943\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 41.9508i | 1.52272i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 10.7302 | + | 6.19511i | 0.388971 | + | 0.224573i | 0.681714 | − | 0.731619i | \(-0.261235\pi\) |
−0.292743 | + | 0.956191i | \(0.594568\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.94812 | − | 10.3025i | 0.215337 | − | 0.372974i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.36488 | − | 2.52007i | 0.157813 | − | 0.0911132i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.60862 | + | 22.2208i | −0.0941917 | + | 0.802347i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −4.80955 | + | 2.77680i | −0.173437 | + | 0.100134i | −0.584205 | − | 0.811606i | \(-0.698594\pi\) |
0.410769 | + | 0.911740i | \(0.365260\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −5.18750 | + | 8.98501i | −0.186823 | + | 0.323587i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 37.9355 | + | 21.9021i | 1.36445 | + | 0.787764i | 0.990212 | − | 0.139570i | \(-0.0445721\pi\) |
0.374235 | + | 0.927334i | \(0.377905\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 27.4092i | 0.984566i | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 14.4528 | + | 25.0330i | 0.518491 | + | 0.898052i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −10.4853 | −0.375677 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −8.44253 | −0.302098 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 14.6678 | + | 25.4054i | 0.524185 | + | 0.907916i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − | 5.38113i | − | 0.192061i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.4782 | − | 12.4005i | −0.765616 | − | 0.442029i | 0.0656923 | − | 0.997840i | \(-0.479074\pi\) |
−0.831309 | + | 0.555811i | \(0.812408\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 25.8831 | − | 44.8308i | 0.921462 | − | 1.59602i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −3.07969 | + | 1.77806i | −0.109501 | + | 0.0632206i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 48.2381 | + | 5.66293i | 1.71299 | + | 0.201096i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 11.2985 | − | 6.52316i | 0.400715 | − | 0.231353i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −8.23575 | + | 14.2647i | −0.291725 | + | 0.505283i | −0.974218 | − | 0.225610i | \(-0.927563\pi\) |
0.682492 | + | 0.730893i | \(0.260896\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.62168 | + | 4.40038i | 0.269636 | + | 0.155674i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | − | 59.9146i | − | 2.11698i | ||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 9.61464 | + | 16.6530i | 0.339293 | + | 0.587673i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.74357 | 0.167189 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 77.8301 | 2.73975 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −0.690968 | − | 1.19679i | −0.0242932 | − | 0.0420770i | 0.853623 | − | 0.520891i | \(-0.174400\pi\) |
−0.877916 | + | 0.478814i | \(0.841067\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 6.83571i | − | 0.240034i | −0.992772 | − | 0.120017i | \(-0.961705\pi\) | ||
0.992772 | − | 0.120017i | \(-0.0382950\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 15.9538 | + | 9.21093i | 0.559524 | + | 0.323041i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.08767 | + | 7.08004i | −0.143185 | + | 0.248003i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.15160 | + | 1.24223i | −0.0752750 | + | 0.0434601i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −14.4117 | − | 10.7404i | −0.503585 | − | 0.375300i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −9.13009 | + | 5.27126i | −0.318642 | + | 0.183968i | −0.650787 | − | 0.759260i | \(-0.725561\pi\) |
0.332145 | + | 0.943228i | \(0.392228\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.41652 | + | 12.8458i | −0.258524 | + | 0.447776i | −0.965847 | − | 0.259114i | \(-0.916569\pi\) |
0.707323 | + | 0.706891i | \(0.249903\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 18.8027 | + | 10.8558i | 0.654627 | + | 0.377949i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | − | 55.6758i | − | 1.93604i | −0.250879 | − | 0.968018i | \(-0.580720\pi\) | ||
0.250879 | − | 0.968018i | \(-0.419280\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −0.0232424 | − | 0.0402570i | −0.000807242 | − | 0.00139818i | 0.865622 | − | 0.500699i | \(-0.166924\pi\) |
−0.866429 | + | 0.499301i | \(0.833590\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −15.3775 | −0.533438 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 1.94825 | 0.0675030 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −4.25508 | − | 7.37002i | −0.147253 | − | 0.255050i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 32.4990i | 1.12333i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −22.1248 | − | 12.7738i | −0.763833 | − | 0.440999i | 0.0668370 | − | 0.997764i | \(-0.478709\pi\) |
−0.830670 | + | 0.556765i | \(0.812043\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.823775 | − | 1.42682i | 0.0284060 | − | 0.0492007i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 8.66886 | − | 5.00497i | 0.298572 | − | 0.172380i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 4.90250 | + | 4.63464i | 0.168651 | + | 0.159437i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.24180 | + | 4.18105i | −0.248831 | + | 0.143663i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 19.9770 | − | 34.6012i | 0.685609 | − | 1.18751i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −80.9745 | − | 46.7507i | −2.77577 | − | 1.60259i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 22.6671i | − | 0.776105i | −0.921637 | − | 0.388053i | \(-0.873148\pi\) | ||
0.921637 | − | 0.388053i | \(-0.126852\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −3.22231 | − | 5.58120i | −0.110201 | − | 0.190873i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 37.0535 | 1.26572 | 0.632862 | − | 0.774264i | \(-0.281880\pi\) | ||||
0.632862 | + | 0.774264i | \(0.281880\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.24339 | 0.144782 | 0.0723912 | − | 0.997376i | \(-0.476937\pi\) | ||||
0.0723912 | + | 0.997376i | \(0.476937\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −5.94689 | − | 10.3003i | −0.202669 | − | 0.351034i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 7.50051i | − | 0.255320i | −0.991818 | − | 0.127660i | \(-0.959253\pi\) | ||
0.991818 | − | 0.127660i | \(-0.0407467\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.135438 | + | 0.0781951i | 0.00460503 | + | 0.00265871i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 18.6562 | − | 32.3135i | 0.633598 | − | 1.09742i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.38168 | − | 0.797714i | 0.0468703 | − | 0.0270606i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.2054 | + | 18.0393i | 0.820170 | + | 0.611238i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −19.0916 | + | 11.0225i | −0.646153 | + | 0.373057i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.52490 | − | 4.37326i | 0.0853573 | − | 0.147843i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −24.4996 | − | 14.1448i | −0.827291 | − | 0.477637i | 0.0256330 | − | 0.999671i | \(-0.491840\pi\) |
−0.852924 | + | 0.522035i | \(0.825173\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 23.5933i | 0.795781i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −19.7860 | − | 34.2704i | −0.666609 | − | 1.15460i | −0.978846 | − | 0.204596i | \(-0.934412\pi\) |
0.312238 | − | 0.950004i | \(-0.398921\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 28.3609 | 0.954419 | 0.477209 | − | 0.878790i | \(-0.341648\pi\) | ||||
0.477209 | + | 0.878790i | \(0.341648\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −9.09974 | −0.305884 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −21.8593 | − | 37.8614i | −0.733963 | − | 1.27126i | −0.955177 | − | 0.296036i | \(-0.904335\pi\) |
0.221214 | − | 0.975225i | \(-0.428998\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1.42350i | 0.0477426i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.25918 | + | 0.726988i | 0.0421841 | + | 0.0243550i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 5.62659 | − | 9.74554i | 0.188287 | − | 0.326122i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 4.41152 | − | 2.54699i | 0.147461 | − | 0.0851366i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 92.4934 | + | 10.8583i | 3.08826 | + | 0.362547i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −26.2422 | + | 15.1509i | −0.875227 | + | 0.505312i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −8.66632 | + | 15.0105i | −0.288717 | + | 0.500073i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −2.44061 | − | 1.40909i | −0.0812185 | − | 0.0468915i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | − | 6.45167i | − | 0.214461i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 18.3493 | + | 31.7818i | 0.609277 | + | 1.05530i | 0.991360 | + | 0.131171i | \(0.0418736\pi\) |
−0.382083 | + | 0.924128i | \(0.624793\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −91.2387 | −3.02620 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 35.5211 | 1.17686 | 0.588432 | − | 0.808546i | \(-0.299745\pi\) | ||||
0.588432 | + | 0.808546i | \(0.299745\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 7.24254 | + | 12.5444i | 0.239693 | + | 0.415161i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 19.7542i | 0.653054i | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −7.51168 | − | 4.33687i | −0.248057 | − | 0.143216i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.9667 | − | 18.9949i | 0.361758 | − | 0.626583i | −0.626492 | − | 0.779428i | \(-0.715510\pi\) |
0.988250 | + | 0.152844i | \(0.0488434\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 20.3940 | − | 11.7745i | 0.672005 | − | 0.387982i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.18521 | + | 18.6142i | −0.0719272 | + | 0.612693i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −41.9082 | + | 24.1957i | −1.37793 | + | 0.795549i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −12.5135 | + | 21.6740i | −0.410997 | + | 0.711867i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −13.4383 | − | 7.75858i | −0.440895 | − | 0.254551i | 0.263082 | − | 0.964773i | \(-0.415261\pi\) |
−0.703977 | + | 0.710223i | \(0.748594\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 2.49115i | − | 0.0816443i | ||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 20.6602 | + | 35.7845i | 0.676385 | + | 1.17153i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 1.64212 | 0.0537031 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 40.8110 | 1.33324 | 0.666618 | − | 0.745399i | \(-0.267741\pi\) | ||||
0.666618 | + | 0.745399i | \(0.267741\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −24.2067 | − | 41.9273i | −0.789957 | − | 1.36825i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 51.5936i | 1.68190i | 0.541109 | + | 0.840952i | \(0.318004\pi\) | ||||
−0.541109 | + | 0.840952i | \(0.681996\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 33.3186 | + | 19.2365i | 1.08500 | + | 0.626427i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 1.45546 | − | 2.52092i | 0.0473460 | − | 0.0820057i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 4.31462 | − | 2.49105i | 0.140206 | − | 0.0809482i | −0.428256 | − | 0.903657i | \(-0.640872\pi\) |
0.568462 | + | 0.822709i | \(0.307539\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 39.2054 | − | 16.8881i | 1.27266 | − | 0.548210i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 34.2608 | − | 19.7805i | 1.11098 | − | 0.641426i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 15.1163 | − | 26.1822i | 0.489664 | − | 0.848123i | −0.510265 | − | 0.860017i | \(-0.670453\pi\) |
0.999929 | + | 0.0118941i | \(0.00378608\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.50413 | + | 3.17781i | 0.178110 | + | 0.102832i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 24.0029i | 0.775904i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 4.25892 | + | 7.37667i | 0.137528 | + | 0.238205i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −2.56939 | −0.0828835 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −30.6306 | −0.987058 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 3.01873 | + | 5.22860i | 0.0971764 | + | 0.168315i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 29.9990i | − | 0.964703i | −0.875978 | − | 0.482352i | \(-0.839783\pi\) | ||
0.875978 | − | 0.482352i | \(-0.160217\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 11.8772 | + | 6.85731i | 0.381551 | + | 0.220288i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 22.0620 | − | 38.2125i | 0.708003 | − | 1.22630i | −0.257594 | − | 0.966253i | \(-0.582930\pi\) |
0.965597 | − | 0.260044i | \(-0.0837371\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.36342 | + | 2.51922i | −0.139885 | + | 0.0807625i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 28.8016 | − | 38.6465i | 0.922391 | − | 1.23768i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −12.9925 | + | 7.50121i | −0.415666 | + | 0.239985i | −0.693221 | − | 0.720725i | \(-0.743809\pi\) |
0.277555 | + | 0.960710i | \(0.410476\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.76037 | − | 16.9055i | 0.311943 | − | 0.540301i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 51.3577 | + | 29.6514i | 1.63973 | + | 0.946696i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 6.01856i | 0.191962i | 0.995383 | + | 0.0959812i | \(0.0305989\pi\) | ||||
−0.995383 | + | 0.0959812i | \(0.969401\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.467358 | + | 0.809488i | 0.0148913 | + | 0.0257924i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 12.7647 | 0.406306 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 9.11600 | 0.289872 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 16.9200 | + | 29.3063i | 0.537482 | + | 0.930946i | 0.999039 | + | 0.0438356i | \(0.0139578\pi\) |
−0.461557 | + | 0.887111i | \(0.652709\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 19.5542i | 0.620535i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 2.96315 | + | 1.71078i | 0.0939382 | + | 0.0542353i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −13.1608 | + | 22.7951i | −0.416805 | + | 0.721928i | −0.995616 | − | 0.0935340i | \(-0.970184\pi\) |
0.578811 | + | 0.815462i | \(0.303517\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −49.6904 | + | 28.6888i | −1.57213 | + | 0.907672i |
(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 | 1456.2.cc.c.673.1 | 12 | ||
4.3 | odd | 2 | 91.2.q.a.36.2 | ✓ | 12 | ||
12.11 | even | 2 | 819.2.ct.a.127.5 | 12 | |||
13.4 | even | 6 | inner | 1456.2.cc.c.225.1 | 12 | ||
28.3 | even | 6 | 637.2.k.g.569.2 | 12 | |||
28.11 | odd | 6 | 637.2.k.h.569.2 | 12 | |||
28.19 | even | 6 | 637.2.u.i.361.5 | 12 | |||
28.23 | odd | 6 | 637.2.u.h.361.5 | 12 | |||
28.27 | even | 2 | 637.2.q.h.491.2 | 12 | |||
52.3 | odd | 6 | 1183.2.c.i.337.3 | 12 | |||
52.11 | even | 12 | 1183.2.a.m.1.6 | 6 | |||
52.15 | even | 12 | 1183.2.a.p.1.1 | 6 | |||
52.23 | odd | 6 | 1183.2.c.i.337.10 | 12 | |||
52.43 | odd | 6 | 91.2.q.a.43.2 | yes | 12 | ||
156.95 | even | 6 | 819.2.ct.a.316.5 | 12 | |||
364.95 | odd | 6 | 637.2.u.h.30.5 | 12 | |||
364.167 | odd | 12 | 8281.2.a.by.1.6 | 6 | |||
364.199 | even | 6 | 637.2.u.i.30.5 | 12 | |||
364.223 | odd | 12 | 8281.2.a.ch.1.1 | 6 | |||
364.251 | even | 6 | 637.2.q.h.589.2 | 12 | |||
364.303 | odd | 6 | 637.2.k.h.459.5 | 12 | |||
364.355 | even | 6 | 637.2.k.g.459.5 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.q.a.36.2 | ✓ | 12 | 4.3 | odd | 2 | ||
91.2.q.a.43.2 | yes | 12 | 52.43 | odd | 6 | ||
637.2.k.g.459.5 | 12 | 364.355 | even | 6 | |||
637.2.k.g.569.2 | 12 | 28.3 | even | 6 | |||
637.2.k.h.459.5 | 12 | 364.303 | odd | 6 | |||
637.2.k.h.569.2 | 12 | 28.11 | odd | 6 | |||
637.2.q.h.491.2 | 12 | 28.27 | even | 2 | |||
637.2.q.h.589.2 | 12 | 364.251 | even | 6 | |||
637.2.u.h.30.5 | 12 | 364.95 | odd | 6 | |||
637.2.u.h.361.5 | 12 | 28.23 | odd | 6 | |||
637.2.u.i.30.5 | 12 | 364.199 | even | 6 | |||
637.2.u.i.361.5 | 12 | 28.19 | even | 6 | |||
819.2.ct.a.127.5 | 12 | 12.11 | even | 2 | |||
819.2.ct.a.316.5 | 12 | 156.95 | even | 6 | |||
1183.2.a.m.1.6 | 6 | 52.11 | even | 12 | |||
1183.2.a.p.1.1 | 6 | 52.15 | even | 12 | |||
1183.2.c.i.337.3 | 12 | 52.3 | odd | 6 | |||
1183.2.c.i.337.10 | 12 | 52.23 | odd | 6 | |||
1456.2.cc.c.225.1 | 12 | 13.4 | even | 6 | inner | ||
1456.2.cc.c.673.1 | 12 | 1.1 | even | 1 | trivial | ||
8281.2.a.by.1.6 | 6 | 364.167 | odd | 12 | |||
8281.2.a.ch.1.1 | 6 | 364.223 | odd | 12 |