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 | 673.5 | ||
Root | \(-1.30089 + 0.554694i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.673 |
Dual form | 1456.2.cc.c.225.5 |
$q$-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 | ||||||||
\(3\) | 1.13082 | + | 1.95864i | 0.652882 | + | 1.13082i | 0.982420 | + | 0.186682i | \(0.0597734\pi\) |
−0.329539 | + | 0.944142i | \(0.606893\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 3.60178i | 1.61076i | 0.592756 | + | 0.805382i | \(0.298040\pi\) | ||||
−0.592756 | + | 0.805382i | \(0.701960\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.866025 | + | 0.500000i | 0.327327 | + | 0.188982i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.05753 | + | 1.83169i | −0.352509 | + | 0.610563i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.767631 | + | 0.443192i | −0.231450 | + | 0.133627i | −0.611241 | − | 0.791445i | \(-0.709329\pi\) |
0.379791 | + | 0.925072i | \(0.375996\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.17349 | − | 3.40924i | −0.325467 | − | 0.945553i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −7.05461 | + | 4.07298i | −1.82149 | + | 1.05164i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.48008 | + | 4.29563i | −0.601508 | + | 1.04184i | 0.391085 | + | 0.920355i | \(0.372100\pi\) |
−0.992593 | + | 0.121488i | \(0.961233\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.06008 | − | 1.18939i | −0.472615 | − | 0.272864i | 0.244719 | − | 0.969594i | \(-0.421304\pi\) |
−0.717334 | + | 0.696730i | \(0.754638\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.26165i | 0.493532i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.92926 | + | 3.34157i | 0.402278 | + | 0.696765i | 0.994000 | − | 0.109376i | \(-0.0348853\pi\) |
−0.591723 | + | 0.806142i | \(0.701552\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.97282 | −1.59456 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.00144 | 0.385177 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.640986 | − | 1.11022i | −0.119028 | − | 0.206163i | 0.800355 | − | 0.599527i | \(-0.204645\pi\) |
−0.919383 | + | 0.393364i | \(0.871311\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.46921i | 1.52111i | 0.649271 | + | 0.760557i | \(0.275074\pi\) | ||||
−0.649271 | + | 0.760557i | \(0.724926\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.73611 | − | 1.00234i | −0.302218 | − | 0.174486i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.80089 | + | 3.11923i | −0.304406 | + | 0.527247i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −8.34686 | + | 4.81906i | −1.37222 | + | 0.792249i | −0.991207 | − | 0.132323i | \(-0.957757\pi\) |
−0.381009 | + | 0.924571i | \(0.624423\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.35049 | − | 6.15370i | 0.856763 | − | 0.985380i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 10.4652 | − | 6.04207i | 1.63438 | − | 0.943612i | 0.651666 | − | 0.758506i | \(-0.274071\pi\) |
0.982719 | − | 0.185106i | \(-0.0592628\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.82125 | − | 3.15450i | 0.277738 | − | 0.481056i | −0.693084 | − | 0.720856i | \(-0.743749\pi\) |
0.970822 | + | 0.239800i | \(0.0770820\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −6.59734 | − | 3.80898i | −0.983474 | − | 0.567809i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 2.98229i | − | 0.435012i | −0.976059 | − | 0.217506i | \(-0.930208\pi\) | ||
0.976059 | − | 0.217506i | \(-0.0697922\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.500000 | + | 0.866025i | 0.0714286 | + | 0.123718i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −11.2181 | −1.57085 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.92032 | 0.675858 | 0.337929 | − | 0.941172i | \(-0.390274\pi\) | ||||
0.337929 | + | 0.941172i | \(0.390274\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.59628 | − | 2.76484i | −0.215242 | − | 0.372811i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | − | 5.37995i | − | 0.712592i | ||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −6.34577 | − | 3.66373i | −0.826148 | − | 0.476977i | 0.0263837 | − | 0.999652i | \(-0.491601\pi\) |
−0.852532 | + | 0.522675i | \(0.824934\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.769632 | − | 1.33304i | 0.0985412 | − | 0.170678i | −0.812540 | − | 0.582906i | \(-0.801916\pi\) |
0.911081 | + | 0.412227i | \(0.135249\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.83169 | + | 1.05753i | −0.230771 | + | 0.133236i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 12.2793 | − | 4.22664i | 1.52306 | − | 0.524250i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.29756 | + | 4.21325i | −0.891539 | + | 0.514730i | −0.874445 | − | 0.485124i | \(-0.838775\pi\) |
−0.0170931 | + | 0.999854i | \(0.505441\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.36330 | + | 7.55745i | −0.525279 | + | 0.909811i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.58490 | + | 3.22444i | 0.662805 | + | 0.382671i | 0.793345 | − | 0.608772i | \(-0.208338\pi\) |
−0.130540 | + | 0.991443i | \(0.541671\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 7.14859i | − | 0.836679i | −0.908291 | − | 0.418340i | \(-0.862612\pi\) | ||
0.908291 | − | 0.418340i | \(-0.137388\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −9.01585 | − | 15.6159i | −1.04106 | − | 1.80317i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −0.886384 | −0.101013 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.757551 | −0.0852311 | −0.0426156 | − | 0.999092i | \(-0.513569\pi\) | ||||
−0.0426156 | + | 0.999092i | \(0.513569\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.43585 | + | 9.41518i | 0.603984 | + | 1.04613i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 4.76766i | − | 0.523319i | −0.965160 | − | 0.261659i | \(-0.915730\pi\) | ||
0.965160 | − | 0.261659i | \(-0.0842697\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −15.4719 | − | 8.93270i | −1.67816 | − | 0.968888i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 1.44969 | − | 2.51093i | 0.155423 | − | 0.269200i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.13400 | − | 1.80942i | 0.332204 | − | 0.191798i | −0.324615 | − | 0.945846i | \(-0.605235\pi\) |
0.656819 | + | 0.754048i | \(0.271902\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.688351 | − | 3.53923i | 0.0721588 | − | 0.371012i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −16.5882 | + | 9.57719i | −1.72011 | + | 0.993108i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 4.28391 | − | 7.41995i | 0.439520 | − | 0.761271i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.401229 | − | 0.231650i | −0.0407386 | − | 0.0235205i | 0.479492 | − | 0.877546i | \(-0.340821\pi\) |
−0.520231 | + | 0.854026i | \(0.674154\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − | 1.87475i | − | 0.188419i | ||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.91152 | + | 5.04289i | 0.289707 | + | 0.501787i | 0.973740 | − | 0.227664i | \(-0.0731089\pi\) |
−0.684033 | + | 0.729451i | \(0.739776\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.23888 | 0.811801 | 0.405901 | − | 0.913917i | \(-0.366958\pi\) | ||||
0.405901 | + | 0.913917i | \(0.366958\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −8.14596 | −0.794964 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.91630 | − | 3.31913i | −0.185256 | − | 0.320872i | 0.758407 | − | 0.651781i | \(-0.225978\pi\) |
−0.943663 | + | 0.330909i | \(0.892645\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 10.4180i | 0.997867i | 0.866640 | + | 0.498934i | \(0.166275\pi\) | ||||
−0.866640 | + | 0.498934i | \(0.833725\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −18.8777 | − | 10.8990i | −1.79179 | − | 1.03449i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.45505 | − | 4.25228i | 0.230952 | − | 0.400021i | −0.727136 | − | 0.686493i | \(-0.759149\pi\) |
0.958089 | + | 0.286472i | \(0.0924826\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −12.0356 | + | 6.94875i | −1.12233 | + | 0.647975i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 7.48567 | + | 1.45590i | 0.692050 | + | 0.134598i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −4.29563 | + | 2.48008i | −0.393779 | + | 0.227349i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.10716 | + | 8.84586i | −0.464287 | + | 0.804169i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 23.6685 | + | 13.6650i | 2.13412 | + | 1.23213i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − | 10.7074i | − | 0.957702i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 6.15508 | + | 10.6609i | 0.546175 | + | 0.946003i | 0.998532 | + | 0.0541658i | \(0.0172500\pi\) |
−0.452357 | + | 0.891837i | \(0.649417\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 8.23805 | 0.725320 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 8.20265 | 0.716669 | 0.358335 | − | 0.933593i | \(-0.383345\pi\) | ||||
0.358335 | + | 0.933593i | \(0.383345\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.18939 | − | 2.06008i | −0.103133 | − | 0.178632i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 7.20874i | 0.620429i | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.45670 | + | 3.72778i | 0.551633 | + | 0.318485i | 0.749780 | − | 0.661687i | \(-0.230159\pi\) |
−0.198147 | + | 0.980172i | \(0.563492\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.34028 | − | 14.4458i | 0.707413 | − | 1.22528i | −0.258400 | − | 0.966038i | \(-0.583195\pi\) |
0.965813 | − | 0.259238i | \(-0.0834714\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.84125 | − | 3.37245i | 0.491922 | − | 0.284011i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 2.41175 | + | 2.09696i | 0.201681 | + | 0.175357i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.99877 | − | 2.30869i | 0.332080 | − | 0.191726i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.13082 | + | 1.95864i | −0.0932688 | + | 0.161546i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −2.18380 | − | 1.26082i | −0.178904 | − | 0.103290i | 0.407874 | − | 0.913038i | \(-0.366270\pi\) |
−0.586777 | + | 0.809748i | \(0.699604\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 15.8972i | 1.29370i | 0.762618 | + | 0.646849i | \(0.223914\pi\) | ||||
−0.762618 | + | 0.646849i | \(0.776086\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −5.24550 | − | 9.08548i | −0.424074 | − | 0.734517i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −30.5042 | −2.45016 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.9831 | 1.03616 | 0.518082 | − | 0.855331i | \(-0.326646\pi\) | ||||
0.518082 | + | 0.855331i | \(0.326646\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.56402 | + | 9.63717i | 0.441256 | + | 0.764277i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 3.85851i | 0.304093i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.00873 | + | 1.15974i | 0.157336 | + | 0.0908378i | 0.576601 | − | 0.817026i | \(-0.304379\pi\) |
−0.419265 | + | 0.907864i | \(0.637712\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.61023 | − | 6.25309i | 0.281056 | − | 0.486803i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 11.9441 | − | 6.89591i | 0.924260 | − | 0.533622i | 0.0392682 | − | 0.999229i | \(-0.487497\pi\) |
0.884992 | + | 0.465607i | \(0.154164\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.2459 | + | 8.00140i | −0.788143 | + | 0.615493i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 4.35718 | − | 2.51562i | 0.333202 | − | 0.192374i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −1.84216 | + | 3.19071i | −0.140057 | + | 0.242585i | −0.927518 | − | 0.373779i | \(-0.878062\pi\) |
0.787461 | + | 0.616364i | \(0.211395\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −6.90466 | − | 3.98641i | −0.521943 | − | 0.301344i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 16.5721i | − | 1.24564i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 2.94638 | + | 5.10328i | 0.220223 | + | 0.381437i | 0.954876 | − | 0.297006i | \(-0.0959882\pi\) |
−0.734653 | + | 0.678443i | \(0.762655\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.11543 | −0.157239 | −0.0786193 | − | 0.996905i | \(-0.525051\pi\) | ||||
−0.0786193 | + | 0.996905i | \(0.525051\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.48127 | 0.257343 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −17.3572 | − | 30.0635i | −1.27613 | − | 2.21032i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 4.39661i | − | 0.321512i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.73330 | + | 1.00072i | 0.126079 | + | 0.0727916i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.68333 | + | 9.84381i | −0.411231 | + | 0.712273i | −0.995025 | − | 0.0996290i | \(-0.968234\pi\) |
0.583794 | + | 0.811902i | \(0.301568\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.2017 | − | 7.04468i | 0.878301 | − | 0.507087i | 0.00820314 | − | 0.999966i | \(-0.497389\pi\) |
0.870098 | + | 0.492879i | \(0.164055\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 22.1643 | + | 19.2713i | 1.58722 | + | 1.38004i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −19.8815 | + | 11.4786i | −1.41650 | + | 0.817814i | −0.995989 | − | 0.0894753i | \(-0.971481\pi\) |
−0.420507 | + | 0.907289i | \(0.638148\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 1.57492 | − | 2.72785i | 0.111643 | − | 0.193372i | −0.804790 | − | 0.593560i | \(-0.797722\pi\) |
0.916433 | + | 0.400188i | \(0.131055\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −16.5045 | − | 9.52888i | −1.16414 | − | 0.672116i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − | 1.28197i | − | 0.0899768i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 21.7622 | + | 37.6932i | 1.51994 | + | 2.63261i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −8.16096 | −0.567226 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.10851 | 0.145849 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −7.43191 | − | 12.8725i | −0.511634 | − | 0.886176i | −0.999909 | − | 0.0134864i | \(-0.995707\pi\) |
0.488275 | − | 0.872690i | \(-0.337626\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 14.5851i | 0.999355i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 11.3618 | + | 6.55974i | 0.774868 | + | 0.447370i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −4.23460 | + | 7.33455i | −0.287464 | + | 0.497902i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 14.0016 | − | 8.08380i | 0.946137 | − | 0.546253i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 17.5552 | + | 3.41433i | 1.18089 | + | 0.229673i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −3.79396 | + | 2.19044i | −0.254062 | + | 0.146683i | −0.621623 | − | 0.783317i | \(-0.713526\pi\) |
0.367561 | + | 0.930000i | \(0.380193\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 8.43147 | − | 14.6037i | 0.562098 | − | 0.973582i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −11.7488 | − | 6.78316i | −0.779793 | − | 0.450214i | 0.0565636 | − | 0.998399i | \(-0.481986\pi\) |
−0.836357 | + | 0.548185i | \(0.815319\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.5180i | 1.09154i | 0.837935 | + | 0.545770i | \(0.183763\pi\) | ||||
−0.837935 | + | 0.545770i | \(0.816237\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −1.00234 | − | 1.73611i | −0.0659494 | − | 0.114228i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 16.5026 | 1.08112 | 0.540561 | − | 0.841305i | \(-0.318212\pi\) | ||||
0.540561 | + | 0.841305i | \(0.318212\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.7416 | 0.700702 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.856657 | − | 1.48377i | −0.0556458 | − | 0.0963814i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 30.4210i | 1.96777i | 0.178796 | + | 0.983886i | \(0.442780\pi\) | ||||
−0.178796 | + | 0.983886i | \(0.557220\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −25.5602 | − | 14.7572i | −1.64648 | − | 0.950593i | −0.978458 | − | 0.206448i | \(-0.933810\pi\) |
−0.668018 | − | 0.744145i | \(-0.732857\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.29184 | + | 16.0939i | −0.596072 | + | 1.03243i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −3.11923 | + | 1.80089i | −0.199280 | + | 0.115055i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.63743 | + | 8.41904i | −0.104187 | + | 0.535691i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 9.33816 | − | 5.39139i | 0.591782 | − | 0.341665i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 6.49134 | − | 11.2433i | 0.409730 | − | 0.709673i | −0.585130 | − | 0.810940i | \(-0.698956\pi\) |
0.994859 | + | 0.101267i | \(0.0322897\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.96191 | − | 1.71006i | −0.186214 | − | 0.107511i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | − | 40.4053i | − | 2.53028i | ||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.29261 | − | 3.97091i | −0.143009 | − | 0.247698i | 0.785620 | − | 0.618710i | \(-0.212344\pi\) |
−0.928628 | + | 0.371011i | \(0.879011\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −9.63812 | −0.598884 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 2.71144 | 0.167834 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −1.33250 | − | 2.30795i | −0.0821652 | − | 0.142314i | 0.822015 | − | 0.569466i | \(-0.192850\pi\) |
−0.904180 | + | 0.427152i | \(0.859517\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.7219i | 1.08865i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.08801 | + | 4.09227i | 0.433779 | + | 0.250443i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −5.96282 | + | 10.3279i | −0.363559 | + | 0.629703i | −0.988544 | − | 0.150934i | \(-0.951772\pi\) |
0.624984 | + | 0.780637i | \(0.285105\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.2828 | − | 6.51416i | 0.685384 | − | 0.395707i | −0.116496 | − | 0.993191i | \(-0.537166\pi\) |
0.801881 | + | 0.597484i | \(0.203833\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 7.71051 | − | 2.65402i | 0.466661 | − | 0.160628i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 6.12018 | − | 3.53349i | 0.369061 | − | 0.213077i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 10.6824 | − | 18.5025i | 0.641846 | − | 1.11171i | −0.343174 | − | 0.939272i | \(-0.611502\pi\) |
0.985020 | − | 0.172438i | \(-0.0551646\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −15.5130 | − | 8.95641i | −0.928737 | − | 0.536206i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 17.2678i | 1.03011i | 0.857158 | + | 0.515054i | \(0.172228\pi\) | ||||
−0.857158 | + | 0.515054i | \(0.827772\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 10.6201 | + | 18.3946i | 0.631299 | + | 1.09344i | 0.987286 | + | 0.158952i | \(0.0508114\pi\) |
−0.355987 | + | 0.934491i | \(0.615855\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 19.3774 | 1.14782 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 12.0841 | 0.713304 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −3.80160 | − | 6.58457i | −0.223624 | − | 0.387327i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 1.04782i | − | 0.0614243i | ||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −0.363782 | − | 0.210030i | −0.0212524 | − | 0.0122701i | 0.489336 | − | 0.872095i | \(-0.337239\pi\) |
−0.510589 | + | 0.859825i | \(0.670572\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.1959 | − | 22.8561i | 0.768298 | − | 1.33073i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −1.53637 | + | 0.887022i | −0.0891490 | + | 0.0514702i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 9.12826 | − | 10.4986i | 0.527901 | − | 0.607149i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.15450 | − | 1.82125i | 0.181822 | − | 0.104975i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −6.58482 | + | 11.4053i | −0.378288 | + | 0.655215i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 4.80132 | + | 2.77204i | 0.274923 | + | 0.158727i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.0807i | 0.803628i | 0.915721 | + | 0.401814i | \(0.131620\pi\) | ||||
−0.915721 | + | 0.401814i | \(0.868380\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 9.31673 | + | 16.1370i | 0.530010 | + | 0.918004i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.3848 | 0.588867 | 0.294434 | − | 0.955672i | \(-0.404869\pi\) | ||||
0.294434 | + | 0.955672i | \(0.404869\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.84759 | 0.387048 | 0.193524 | − | 0.981096i | \(-0.438008\pi\) | ||||
0.193524 | + | 0.981096i | \(0.438008\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −3.80898 | − | 6.59734i | −0.214612 | − | 0.371718i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 0.701249i | 0.0393861i | 0.999806 | + | 0.0196930i | \(0.00626889\pi\) | ||||
−0.999806 | + | 0.0196930i | \(0.993731\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.984082 | + | 0.568160i | 0.0550980 | + | 0.0318109i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.33400 | − | 7.50670i | 0.241900 | − | 0.418983i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 10.2183 | − | 5.89956i | 0.568563 | − | 0.328260i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 9.35600 | + | 27.1813i | 0.518977 | + | 1.50774i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −20.4052 | + | 11.7810i | −1.12841 | + | 0.651489i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.49115 | − | 2.58274i | 0.0822095 | − | 0.142391i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −3.63613 | − | 2.09932i | −0.199860 | − | 0.115389i | 0.396730 | − | 0.917935i | \(-0.370145\pi\) |
−0.596590 | + | 0.802546i | \(0.703478\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − | 20.3851i | − | 1.11710i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −15.1752 | − | 26.2842i | −0.829109 | − | 1.43606i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −20.4278 | −1.11278 | −0.556388 | − | 0.830923i | \(-0.687813\pi\) | ||||
−0.556388 | + | 0.830923i | \(0.687813\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 11.1049 | 0.603138 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −3.75349 | − | 6.50123i | −0.203263 | − | 0.352061i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.00000i | 0.0539949i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −27.2203 | − | 15.7156i | −1.46549 | − | 0.846102i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.98500 | − | 6.90222i | 0.213926 | − | 0.370531i | −0.739014 | − | 0.673690i | \(-0.764708\pi\) |
0.952940 | + | 0.303160i | \(0.0980415\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.7038 | − | 10.7986i | 1.00119 | − | 0.578037i | 0.0925892 | − | 0.995704i | \(-0.470486\pi\) |
0.908600 | + | 0.417668i | \(0.137152\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −2.34866 | − | 6.82338i | −0.125362 | − | 0.364205i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.7214 | − | 10.8088i | 0.996439 | − | 0.575295i | 0.0892465 | − | 0.996010i | \(-0.471554\pi\) |
0.907193 | + | 0.420715i | \(0.138221\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −11.6137 | + | 20.1156i | −0.616393 | + | 1.06762i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −9.71520 | − | 5.60907i | −0.514183 | − | 0.296863i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 13.6834i | − | 0.722180i | −0.932531 | − | 0.361090i | \(-0.882405\pi\) | ||
0.932531 | − | 0.361090i | \(-0.117595\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.67071 | − | 11.5540i | −0.351090 | − | 0.608106i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −23.1012 | −1.21250 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 25.7477 | 1.34769 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.70638 | − | 9.88374i | −0.297871 | − | 0.515927i | 0.677778 | − | 0.735267i | \(-0.262943\pi\) |
−0.975649 | + | 0.219339i | \(0.929610\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 25.5586i | 1.33053i | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.26112 | + | 2.46016i | 0.221227 | + | 0.127725i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 15.6404 | − | 27.0900i | 0.809830 | − | 1.40267i | −0.103151 | − | 0.994666i | \(-0.532892\pi\) |
0.912981 | − | 0.408002i | \(-0.133774\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 20.9721 | − | 12.1082i | 1.08299 | − | 0.625266i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.03282 | + | 3.48811i | −0.156198 | + | 0.179647i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.7421 | + | 13.7075i | −1.21955 | + | 0.704108i | −0.964822 | − | 0.262904i | \(-0.915320\pi\) |
−0.254729 | + | 0.967012i | \(0.581986\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −13.9206 | + | 24.1112i | −0.713175 | + | 1.23526i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −13.9436 | − | 8.05032i | −0.712483 | − | 0.411352i | 0.0994967 | − | 0.995038i | \(-0.468277\pi\) |
−0.811980 | + | 0.583686i | \(0.801610\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | − | 3.19256i | − | 0.162708i | ||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.85204 | + | 6.67193i | 0.195810 | + | 0.339153i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −21.1380 | −1.07174 | −0.535870 | − | 0.844301i | \(-0.680016\pi\) | ||||
−0.535870 | + | 0.844301i | \(0.680016\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −19.1388 | −0.967893 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 9.27576 | + | 16.0661i | 0.467900 | + | 0.810427i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − | 2.72853i | − | 0.137287i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.3436 | + | 6.54921i | 0.569317 | + | 0.328695i | 0.756876 | − | 0.653558i | \(-0.226724\pi\) |
−0.187560 | + | 0.982253i | \(0.560058\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.68998 | − | 4.65918i | 0.134667 | − | 0.233251i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 16.8396 | − | 9.72236i | 0.840930 | − | 0.485511i | −0.0166501 | − | 0.999861i | \(-0.505300\pi\) |
0.857580 | + | 0.514350i | \(0.171967\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 28.8736 | − | 9.93851i | 1.43830 | − | 0.495072i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −33.9114 | + | 19.5788i | −1.68507 | + | 0.972876i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 4.27154 | − | 7.39853i | 0.211732 | − | 0.366731i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.8330 | + | 12.0279i | 1.03013 | + | 0.594743i | 0.917020 | − | 0.398840i | \(-0.130587\pi\) |
0.113105 | + | 0.993583i | \(0.463921\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 16.8618i | 0.831733i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −3.66373 | − | 6.34577i | −0.180280 | − | 0.312255i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 17.1721 | 0.842944 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 37.7256 | 1.84743 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 19.5119 | + | 33.7956i | 0.953218 | + | 1.65102i | 0.738394 | + | 0.674370i | \(0.235585\pi\) |
0.214825 | + | 0.976653i | \(0.431082\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 22.0284i | − | 1.07360i | −0.843710 | − | 0.536799i | \(-0.819633\pi\) | ||
0.843710 | − | 0.536799i | \(-0.180367\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 5.46263 | + | 3.15385i | 0.265602 | + | 0.153346i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 19.7732 | − | 34.2482i | 0.959142 | − | 1.66128i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.33304 | − | 0.769632i | 0.0645104 | − | 0.0372451i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −1.37993 | + | 7.09506i | −0.0666237 | + | 0.342553i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 31.0727 | − | 17.9398i | 1.49672 | − | 0.864131i | 0.496726 | − | 0.867907i | \(-0.334535\pi\) |
0.999993 | + | 0.00377645i | \(0.00120209\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.10678 | − | 10.5773i | 0.293473 | − | 0.508310i | −0.681155 | − | 0.732139i | \(-0.738522\pi\) |
0.974629 | + | 0.223828i | \(0.0718555\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 9.04381 | + | 5.22145i | 0.433618 | + | 0.250349i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 9.17853i | − | 0.439069i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.87765 | + | 13.6445i | 0.375980 | + | 0.651216i | 0.990473 | − | 0.137706i | \(-0.0439728\pi\) |
−0.614493 | + | 0.788922i | \(0.710639\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.11505 | −0.100717 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.0706 | 0.716028 | 0.358014 | − | 0.933716i | \(-0.383454\pi\) | ||||
0.358014 | + | 0.933716i | \(0.383454\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.51712 | + | 11.2880i | 0.308941 | + | 0.535102i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | − | 5.70305i | − | 0.269745i | ||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 26.6585 | + | 15.3913i | 1.25809 | + | 0.726360i | 0.972703 | − | 0.232052i | \(-0.0745441\pi\) |
0.285388 | + | 0.958412i | \(0.407877\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.35559 | + | 9.27616i | −0.252185 | + | 0.436797i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −31.1370 | + | 17.9770i | −1.46295 | + | 0.844632i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 12.7475 | + | 2.47929i | 0.597614 | + | 0.116231i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −6.71687 | + | 3.87799i | −0.314202 | + | 0.181405i | −0.648805 | − | 0.760955i | \(-0.724731\pi\) |
0.334603 | + | 0.942359i | \(0.391398\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −4.96373 | + | 8.59743i | −0.231687 | + | 0.401294i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.27498 | + | 0.736110i | 0.0593817 | + | 0.0342840i | 0.529397 | − | 0.848374i | \(-0.322418\pi\) |
−0.470015 | + | 0.882658i | \(0.655752\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14.0366i | 0.652335i | 0.945312 | + | 0.326168i | \(0.105757\pi\) | ||||
−0.945312 | + | 0.326168i | \(0.894243\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −34.4949 | − | 59.7469i | −1.59966 | − | 2.77070i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 31.3806 | 1.45212 | 0.726060 | − | 0.687631i | \(-0.241349\pi\) | ||||
0.726060 | + | 0.687631i | \(0.241349\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −8.42649 | −0.389099 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 14.6816 | + | 25.4293i | 0.676492 | + | 1.17172i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.22865i | 0.148454i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 16.4246 | + | 9.48277i | 0.753614 | + | 0.435099i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −5.20337 | + | 9.01251i | −0.238246 | + | 0.412654i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −35.6760 | + | 20.5975i | −1.63008 | + | 0.941125i | −0.646009 | + | 0.763330i | \(0.723563\pi\) |
−0.984068 | + | 0.177795i | \(0.943104\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 26.2243 | + | 22.8014i | 1.19572 | + | 1.03965i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −7.55745 | + | 4.36330i | −0.343876 | + | 0.198537i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0.834351 | − | 1.44514i | 0.0378859 | − | 0.0656204i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −24.5314 | − | 14.1632i | −1.11163 | − | 0.641798i | −0.172376 | − | 0.985031i | \(-0.555144\pi\) |
−0.939250 | + | 0.343234i | \(0.888478\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5.24584i | 0.237225i | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −17.3931 | − | 30.1258i | −0.784941 | − | 1.35956i | −0.929034 | − | 0.369993i | \(-0.879360\pi\) |
0.144094 | − | 0.989564i | \(-0.453973\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.35879 | 0.286386 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 6.75244 | 0.303499 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 3.22444 | + | 5.58490i | 0.144636 | + | 0.250517i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.0694885i | 0.00311073i | 0.999999 | + | 0.00155537i | \(0.000495089\pi\) | ||||
−0.999999 | + | 0.00155537i | \(0.999505\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 27.0133 | + | 15.5961i | 1.20686 | + | 0.696783i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 12.8686 | − | 22.2891i | 0.573782 | − | 0.993820i | −0.422391 | − | 0.906414i | \(-0.638809\pi\) |
0.996173 | − | 0.0874060i | \(-0.0278578\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −18.1634 | + | 10.4866i | −0.808260 | + | 0.466649i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −27.2582 | − | 11.0198i | −1.21058 | − | 0.489407i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −6.09682 | + | 3.52000i | −0.270237 | + | 0.156021i | −0.628995 | − | 0.777409i | \(-0.716533\pi\) |
0.358759 | + | 0.933430i | \(0.383200\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.57430 | − | 6.19086i | 0.158118 | − | 0.273868i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.12312 | − | 2.38049i | −0.182040 | − | 0.105101i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 29.6746i | 1.30762i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.32173 | + | 2.28930i | 0.0581295 | + | 0.100683i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −8.33263 | −0.365762 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.3253 | 0.715225 | 0.357613 | − | 0.933870i | \(-0.383591\pi\) | ||||
0.357613 | + | 0.933870i | \(0.383591\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −3.54473 | − | 6.13965i | −0.155000 | − | 0.268468i | 0.778059 | − | 0.628191i | \(-0.216204\pi\) |
−0.933059 | + | 0.359723i | \(0.882871\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | − | 18.0317i | − | 0.786968i | ||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −36.3805 | − | 21.0043i | −1.58476 | − | 0.914963i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 4.05594 | − | 7.02510i | 0.176345 | − | 0.305439i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 13.4216 | − | 7.74899i | 0.582449 | − | 0.336277i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −32.8796 | − | 28.5880i | −1.42417 | − | 1.23828i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 11.9548 | − | 6.90209i | 0.516850 | − | 0.298403i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −6.66368 | + | 11.5418i | −0.287559 | + | 0.498067i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.767631 | − | 0.443192i | −0.0330642 | − | 0.0190896i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 25.5162i | − | 1.09703i | −0.836141 | − | 0.548515i | \(-0.815194\pi\) | ||
0.836141 | − | 0.548515i | \(-0.184806\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −2.39218 | − | 4.14338i | −0.102658 | − | 0.177809i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −37.5235 | −1.60733 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 13.3073 | 0.568978 | 0.284489 | − | 0.958679i | \(-0.408176\pi\) | ||||
0.284489 | + | 0.958679i | \(0.408176\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 1.62781 | + | 2.81945i | 0.0694733 | + | 0.120331i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.04952i | 0.129914i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.656058 | − | 0.378775i | −0.0278984 | − | 0.0161072i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 39.2559 | − | 67.9932i | 1.66632 | − | 2.88615i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −14.7285 | + | 8.50353i | −0.624069 | + | 0.360306i | −0.778451 | − | 0.627705i | \(-0.783994\pi\) |
0.154383 | + | 0.988011i | \(0.450661\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −12.8916 | − | 2.50732i | −0.545259 | − | 0.106048i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.61140 | − | 4.97179i | 0.363573 | − | 0.209909i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 12.4596 | − | 21.5807i | 0.525111 | − | 0.909519i | −0.474461 | − | 0.880276i | \(-0.657357\pi\) |
0.999572 | − | 0.0292428i | \(-0.00930961\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 15.3158 | + | 8.84257i | 0.644340 | + | 0.372010i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.8717i | 0.456569i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 2.94065 | + | 5.09335i | 0.123278 | + | 0.213524i | 0.921059 | − | 0.389424i | \(-0.127326\pi\) |
−0.797780 | + | 0.602948i | \(0.793993\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.92622 | 0.373551 | 0.186775 | − | 0.982403i | \(-0.440196\pi\) | ||||
0.186775 | + | 0.982403i | \(0.440196\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −25.7074 | −1.07394 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −15.3816 | − | 26.6417i | −0.641457 | − | 1.11104i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 36.1933i | 1.50675i | 0.657592 | + | 0.753374i | \(0.271575\pi\) | ||||
−0.657592 | + | 0.753374i | \(0.728425\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 27.5961 | + | 15.9326i | 1.14685 | + | 0.662136i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 2.38383 | − | 4.12892i | 0.0988980 | − | 0.171296i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −3.77699 | + | 2.18065i | −0.156427 | + | 0.0903132i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −5.24383 | + | 26.9617i | −0.216806 | + | 1.11473i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −31.6008 | + | 18.2447i | −1.30431 | + | 0.753041i | −0.981139 | − | 0.193301i | \(-0.938080\pi\) |
−0.323166 | + | 0.946342i | \(0.604747\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.0732 | − | 17.4472i | 0.415058 | − | 0.718901i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −44.9649 | − | 25.9605i | −1.84961 | − | 1.06787i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 34.9930i | − | 1.43699i | −0.695533 | − | 0.718495i | \(-0.744832\pi\) | ||
0.695533 | − | 0.718495i | \(-0.255168\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.93270 | − | 15.4719i | −0.366205 | − | 0.634286i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 7.12385 | 0.291560 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 32.5052 | 1.32812 | 0.664062 | − | 0.747677i | \(-0.268831\pi\) | ||||
0.664062 | + | 0.747677i | \(0.268831\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.0390 | − | 17.3881i | −0.409500 | − | 0.709275i | 0.585334 | − | 0.810792i | \(-0.300963\pi\) |
−0.994834 | + | 0.101518i | \(0.967630\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 17.8225i | − | 0.725788i | ||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −31.8608 | − | 18.3949i | −1.29533 | − | 0.747858i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.85800 | − | 8.41431i | 0.197180 | − | 0.341526i | −0.750433 | − | 0.660947i | \(-0.770155\pi\) |
0.947613 | + | 0.319420i | \(0.103488\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2.51093 | − | 1.44969i | 0.101748 | − | 0.0587442i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −10.1674 | + | 3.49968i | −0.411327 | + | 0.141582i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −10.2898 | + | 5.94080i | −0.415600 | + | 0.239947i | −0.693193 | − | 0.720752i | \(-0.743797\pi\) |
0.277593 | + | 0.960699i | \(0.410463\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −49.2184 | + | 85.2488i | −1.98468 | + | 3.43756i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −17.3105 | − | 9.99422i | −0.696895 | − | 0.402352i | 0.109295 | − | 0.994009i | \(-0.465141\pi\) |
−0.806190 | + | 0.591657i | \(0.798474\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 41.7176i | 1.67677i | 0.545078 | + | 0.838386i | \(0.316500\pi\) | ||||
−0.545078 | + | 0.838386i | \(0.683500\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 3.86129 | + | 6.68794i | 0.154948 | + | 0.268378i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.61884 | 0.144986 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.29828 | −0.0519312 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 2.38435 | + | 4.12982i | 0.0952219 | + | 0.164929i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | − | 47.8066i | − | 1.90618i | ||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.2780 | − | 8.82074i | −0.608206 | − | 0.351148i | 0.164057 | − | 0.986451i | \(-0.447542\pi\) |
−0.772263 | + | 0.635303i | \(0.780875\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 16.8084 | − | 29.1130i | 0.668073 | − | 1.15714i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −38.3982 | + | 22.1692i | −1.52379 | + | 0.879759i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.36575 | − | 2.72089i | 0.0937343 | − | 0.107806i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −11.8124 | + | 6.81987i | −0.467290 | + | 0.269790i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −5.46012 | + | 9.45721i | −0.215662 | + | 0.373537i | −0.953477 | − | 0.301465i | \(-0.902524\pi\) |
0.737815 | + | 0.675003i | \(0.235858\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −15.2725 | − | 8.81757i | −0.602288 | − | 0.347731i | 0.167653 | − | 0.985846i | \(-0.446381\pi\) |
−0.769941 | + | 0.638115i | \(0.779714\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 29.6716i | 1.16832i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −8.33632 | − | 14.4389i | −0.327735 | − | 0.567653i | 0.654327 | − | 0.756211i | \(-0.272952\pi\) |
−0.982062 | + | 0.188558i | \(0.939619\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.49495 | 0.254949 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −19.1544 | −0.750719 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 3.38664 | + | 5.86584i | 0.132530 | + | 0.229548i | 0.924651 | − | 0.380816i | \(-0.124357\pi\) |
−0.792121 | + | 0.610364i | \(0.791023\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 29.5441i | 1.15439i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13.0940 | + | 7.55983i | 0.510846 | + | 0.294937i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 16.7680 | − | 29.0431i | 0.653190 | − | 1.13136i | −0.329154 | − | 0.944276i | \(-0.606764\pi\) |
0.982344 | − | 0.187082i | \(-0.0599031\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −21.7945 | + | 12.5830i | −0.847707 | + | 0.489424i | −0.859876 | − | 0.510502i | \(-0.829460\pi\) |
0.0121696 | + | 0.999926i | \(0.496126\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 13.1643 | + | 38.2454i | 0.511261 | + | 1.48533i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 7.41995 | − | 4.28391i | 0.287733 | − | 0.166123i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.47325 | − | 4.28380i | 0.0957647 | − | 0.165869i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.58060 | − | 4.95401i | −0.331745 | − | 0.191533i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1.36438i | 0.0526713i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −0.927341 | − | 1.60620i | −0.0357464 | − | 0.0619145i | 0.847599 | − | 0.530638i | \(-0.178048\pi\) |
−0.883345 | + | 0.468723i | \(0.844714\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −15.9571 | −0.614189 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −14.7209 | −0.565770 | −0.282885 | − | 0.959154i | \(-0.591291\pi\) | ||||
−0.282885 | + | 0.959154i | \(0.591291\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.231650 | − | 0.401229i | −0.00888990 | − | 0.0153978i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 30.6822i | − | 1.17575i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −6.87930 | − | 3.97177i | −0.263229 | − | 0.151975i | 0.362578 | − | 0.931954i | \(-0.381897\pi\) |
−0.625807 | + | 0.779978i | \(0.715230\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −13.4266 | + | 23.2556i | −0.513005 | + | 0.888551i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −32.3529 | + | 18.6790i | −1.23434 | + | 0.712647i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −5.77394 | − | 16.7746i | −0.219969 | − | 0.639060i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.86002 | + | 5.11534i | −0.337051 | + | 0.194597i | −0.658967 | − | 0.752172i | \(-0.729006\pi\) |
0.321916 | + | 0.946768i | \(0.395673\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.937375 | − | 1.62358i | 0.0356079 | − | 0.0616748i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 52.0306 | + | 30.0399i | 1.97363 | + | 1.13948i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 59.9392i | 2.27036i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 18.6616 | + | 32.3228i | 0.705845 | + | 1.22256i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −16.5978 | −0.626891 | −0.313445 | − | 0.949606i | \(-0.601483\pi\) | ||||
−0.313445 | + | 0.949606i | \(0.601483\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.9269 | 0.864706 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 12.1468 | + | 21.0389i | 0.457475 | + | 0.792371i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 5.82303i | 0.218998i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 41.4531 | + | 23.9329i | 1.55680 | + | 0.898820i | 0.997560 | + | 0.0698158i | \(0.0222412\pi\) |
0.559242 | + | 0.829004i | \(0.311092\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.801130 | − | 1.38760i | 0.0300447 | − | 0.0520390i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −28.3004 | + | 16.3393i | −1.05986 | + | 0.611910i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −7.55279 | + | 8.68661i | −0.282458 | + | 0.324861i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −59.5840 | + | 34.4008i | −2.22520 | + | 1.28472i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 19.0461 | − | 32.9888i | 0.710300 | − | 1.23028i | −0.254444 | − | 0.967087i | \(-0.581893\pi\) |
0.964744 | − | 0.263188i | \(-0.0847741\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 7.13508 | + | 4.11944i | 0.265724 | + | 0.153416i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 66.7511i | − | 2.48250i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.11047 | + | 8.85159i | 0.189798 | + | 0.328740i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.4059 | −0.571374 | −0.285687 | − | 0.958323i | \(-0.592222\pi\) | ||||
−0.285687 | + | 0.958323i | \(0.592222\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −9.41460 | −0.348689 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 9.03369 | + | 15.6468i | 0.334123 | + | 0.578718i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 11.6298i | − | 0.429557i | −0.976663 | − | 0.214778i | \(-0.931097\pi\) | ||
0.976663 | − | 0.214778i | \(-0.0689029\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −7.05461 | − | 4.07298i | −0.260213 | − | 0.150234i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 3.73456 | − | 6.46844i | 0.137564 | − | 0.238268i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.32875 | + | 1.34451i | −0.0856645 | + | 0.0494584i | −0.542220 | − | 0.840236i | \(-0.682416\pi\) |
0.456556 | + | 0.889695i | \(0.349083\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −18.3416 | + | 6.31331i | −0.673794 | + | 0.231925i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.13665 | − | 1.23360i | 0.0783862 | − | 0.0452563i | −0.460295 | − | 0.887766i | \(-0.652256\pi\) |
0.538681 | + | 0.842510i | \(0.318923\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 4.54118 | − | 7.86556i | 0.166376 | − | 0.288172i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 8.73288 | + | 5.04193i | 0.319519 | + | 0.184475i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 3.83260i | − | 0.140040i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.9592 | + | 32.8383i | 0.691832 | + | 1.19829i | 0.971237 | + | 0.238115i | \(0.0765295\pi\) |
−0.279405 | + | 0.960173i | \(0.590137\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 29.3623 | 1.07002 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −57.2583 | −2.08384 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −17.3225 | − | 30.0035i | −0.629598 | − | 1.09050i | −0.987632 | − | 0.156788i | \(-0.949886\pi\) |
0.358034 | − | 0.933709i | \(-0.383447\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − | 7.73512i | − | 0.280767i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 19.7969 | + | 11.4297i | 0.717636 | + | 0.414328i | 0.813882 | − | 0.581030i | \(-0.197350\pi\) |
−0.0962458 | + | 0.995358i | \(0.530683\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.20902 | + | 9.02229i | −0.188579 | + | 0.326629i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 32.7239 | − | 18.8931i | 1.18313 | − | 0.683083i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −5.04386 | + | 25.9336i | −0.182123 | + | 0.936408i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −44.8839 | + | 25.9137i | −1.61855 | + | 0.934473i | −0.631260 | + | 0.775571i | \(0.717462\pi\) |
−0.987294 | + | 0.158902i | \(0.949205\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.18507 | − | 8.98080i | 0.186736 | − | 0.323436i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −4.93605 | − | 2.84983i | −0.177538 | − | 0.102501i | 0.408598 | − | 0.912715i | \(-0.366018\pi\) |
−0.586135 | + | 0.810213i | \(0.699351\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | − | 67.5234i | − | 2.42551i | ||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −10.8990 | − | 18.8777i | −0.391000 | − | 0.677232i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −28.7454 | −1.02991 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.71619 | −0.204541 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −1.28289 | − | 2.22204i | −0.0458469 | − | 0.0794092i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 46.7622i | 1.66902i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 14.5614 | + | 8.40705i | 0.519059 | + | 0.299679i | 0.736550 | − | 0.676384i | \(-0.236454\pi\) |
−0.217490 | + | 0.976062i | \(0.569787\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.01364 | − | 5.21977i | 0.107288 | − | 0.185829i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.25228 | − | 2.45505i | 0.151194 | − | 0.0872917i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.44781 | − | 1.05955i | −0.193457 | − | 0.0376258i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −34.7109 | + | 20.0404i | −1.23107 | + | 0.710759i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 21.0651 | − | 36.4858i | 0.746163 | − | 1.29239i | −0.203487 | − | 0.979078i | \(-0.565227\pi\) |
0.949650 | − | 0.313314i | \(-0.101439\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.8108 | + | 7.39632i | 0.453214 | + | 0.261663i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.65403i | 0.270442i | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 3.16820 | + | 5.48748i | 0.111803 | + | 0.193649i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −13.8975 | −0.489823 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −26.9716 | −0.949445 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 15.0843 | + | 26.1268i | 0.530336 | + | 0.918569i | 0.999374 | + | 0.0353910i | \(0.0112677\pi\) |
−0.469037 | + | 0.883178i | \(0.655399\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 23.7929i | − | 0.835480i | −0.908567 | − | 0.417740i | \(-0.862822\pi\) | ||
0.908567 | − | 0.417740i | \(-0.137178\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 25.5178 | + | 14.7327i | 0.894950 | + | 0.516699i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.17712 | + | 7.23499i | −0.146318 | + | 0.253431i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.50384 | + | 4.33234i | −0.262526 | + | 0.151569i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 5.75483 | + | 5.00368i | 0.201090 | + | 0.174843i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −31.0771 | + | 17.9424i | −1.08460 | + | 0.626193i | −0.932133 | − | 0.362116i | \(-0.882054\pi\) |
−0.152465 | + | 0.988309i | \(0.548721\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 6.11728 | − | 10.5954i | 0.213235 | − | 0.369334i | −0.739490 | − | 0.673167i | \(-0.764933\pi\) |
0.952725 | + | 0.303833i | \(0.0982666\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 13.8417 | + | 7.99151i | 0.481906 | + | 0.278229i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 27.3474i | 0.950962i | 0.879726 | + | 0.475481i | \(0.157726\pi\) | ||||
−0.879726 | + | 0.475481i | \(0.842274\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.7869 | + | 20.4155i | 0.409376 | + | 0.709060i | 0.994820 | − | 0.101653i | \(-0.0324132\pi\) |
−0.585444 | + | 0.810713i | \(0.699080\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 48.3199 | 1.67620 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −4.96016 | −0.171859 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 24.8376 | + | 43.0199i | 0.859539 | + | 1.48877i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 16.9506i | 0.585898i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −9.16975 | − | 5.29416i | −0.316575 | − | 0.182775i | 0.333290 | − | 0.942824i | \(-0.391841\pi\) |
−0.649865 | + | 0.760050i | \(0.725175\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.6783 | − | 23.6915i | 0.471665 | − | 0.816947i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −33.8214 | + | 19.5268i | −1.16487 | + | 0.672538i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −28.8193 | − | 36.9033i | −0.991414 | − | 1.26951i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −8.84586 | + | 5.10716i | −0.303947 | + | 0.175484i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −24.0189 | + | 41.6020i | −0.824328 | + | 1.42778i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −32.2065 | − | 18.5944i | −1.10402 | − | 0.637408i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | − | 21.3925i | − | 0.732464i | −0.930524 | − | 0.366232i | \(-0.880648\pi\) | ||
0.930524 | − | 0.366232i | \(-0.119352\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 9.06070 | + | 15.6936i | 0.309870 | + | 0.536710i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −7.22129 | −0.246675 | −0.123337 | − | 0.992365i | \(-0.539360\pi\) | ||||
−0.123337 | + | 0.992365i | \(0.539360\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −57.1073 | −1.94848 | −0.974238 | − | 0.225524i | \(-0.927590\pi\) | ||||
−0.974238 | + | 0.225524i | \(0.927590\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 13.6650 | + | 23.6685i | 0.465703 | + | 0.806621i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − | 51.3361i | − | 1.74750i | −0.486374 | − | 0.873751i | \(-0.661681\pi\) | ||
0.486374 | − | 0.873751i | \(-0.338319\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −11.4922 | − | 6.63505i | −0.390748 | − | 0.225598i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 8.59788 | − | 14.8920i | 0.291999 | − | 0.505758i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.581520 | − | 0.335741i | 0.0197267 | − | 0.0113892i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.9276 | + | 19.9349i | 0.776871 | + | 0.675470i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0.848621 | − | 0.489952i | 0.0287215 | − | 0.0165824i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 5.35371 | − | 9.27291i | 0.180989 | − | 0.313481i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.5570 | − | 10.7139i | −0.626624 | − | 0.361781i | 0.152820 | − | 0.988254i | \(-0.451165\pi\) |
−0.779443 | + | 0.626473i | \(0.784498\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 0.950027i | − | 0.0320436i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 14.5309 | + | 25.1683i | 0.489560 | + | 0.847943i | 0.999928 | − | 0.0120134i | \(-0.00382406\pi\) |
−0.510368 | + | 0.859956i | \(0.670491\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.83594 | −0.162742 | −0.0813711 | − | 0.996684i | \(-0.525930\pi\) | ||||
−0.0813711 | + | 0.996684i | \(0.525930\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 59.6892 | 2.00643 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −12.4949 | − | 21.6418i | −0.419538 | − | 0.726660i | 0.576355 | − | 0.817199i | \(-0.304474\pi\) |
−0.995893 | + | 0.0905387i | \(0.971141\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.3102i | 0.412869i | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −8.34546 | − | 4.81826i | −0.279584 | − | 0.161418i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −3.54710 | + | 6.14376i | −0.118699 | + | 0.205593i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −18.3809 | + | 10.6122i | −0.614406 | + | 0.354727i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 30.8855 | + | 6.00696i | 1.03124 | + | 0.200567i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 9.40269 | − | 5.42865i | 0.313597 | − | 0.181055i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.2028 | + | 21.1359i | −0.406534 | + | 0.704138i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 7.13436 | + | 4.11902i | 0.237417 | + | 0.137073i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | − | 7.61931i | − | 0.253274i | ||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −7.52060 | − | 13.0261i | −0.249717 | − | 0.432523i | 0.713730 | − | 0.700421i | \(-0.247004\pi\) |
−0.963447 | + | 0.267898i | \(0.913671\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −12.3160 | −0.408497 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.22150 | 0.305522 | 0.152761 | − | 0.988263i | \(-0.451184\pi\) | ||||
0.152761 | + | 0.988263i | \(0.451184\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.11299 | + | 3.65981i | 0.0699298 | + | 0.121122i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 12.5388i | 0.414519i | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.10371 | + | 4.10133i | 0.234585 | + | 0.135438i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −22.5402 | + | 39.0407i | −0.743531 | + | 1.28783i | 0.207346 | + | 0.978268i | \(0.433517\pi\) |
−0.950878 | + | 0.309567i | \(0.899816\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −27.5791 | + | 15.9228i | −0.908762 | + | 0.524674i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 4.43910 | − | 22.8241i | 0.146115 | − | 0.751265i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 66.5480 | − | 38.4215i | 2.18808 | − | 1.26329i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −8.71284 | + | 15.0911i | −0.286167 | + | 0.495656i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −40.6313 | − | 23.4585i | −1.33307 | − | 0.769647i | −0.347300 | − | 0.937754i | \(-0.612901\pi\) |
−0.985769 | + | 0.168107i | \(0.946235\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 2.37878i | − | 0.0779612i | ||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 11.7434 | + | 20.3401i | 0.384461 | + | 0.665906i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 15.8356 | 0.517880 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −28.3912 | −0.927501 | −0.463750 | − | 0.885966i | \(-0.653497\pi\) | ||||
−0.463750 | + | 0.885966i | \(0.653497\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 7.74342 | + | 13.4120i | 0.252697 | + | 0.437684i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 17.8718i | 0.582603i | 0.956631 | + | 0.291302i | \(0.0940883\pi\) | ||||
−0.956631 | + | 0.291302i | \(0.905912\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 40.3800 | + | 23.3134i | 1.31495 | + | 0.759188i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.60437 | + | 6.24295i | −0.117250 | + | 0.203083i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −8.24659 | + | 4.76117i | −0.267978 | + | 0.154717i | −0.627969 | − | 0.778239i | \(-0.716113\pi\) |
0.359990 | + | 0.932956i | \(0.382780\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −24.3713 | + | 8.38878i | −0.791125 | + | 0.272311i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.37350 | + | 0.792989i | −0.0445387 | + | 0.0257144i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.70900 | + | 11.6203i | −0.217326 | + | 0.376419i | −0.953990 | − | 0.299840i | \(-0.903067\pi\) |
0.736664 | + | 0.676259i | \(0.236400\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −35.4552 | − | 20.4701i | −1.14730 | − | 0.662397i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 2.56996i | 0.0830749i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 3.72778 | + | 6.45670i | 0.120376 | + | 0.208498i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −40.7275 | −1.31379 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 8.10615 | 0.261217 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 25.3734 | + | 43.9480i | 0.816798 | + | 1.41474i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 12.9316i | 0.415851i | 0.978145 | + | 0.207926i | \(0.0666712\pi\) | ||||
−0.978145 | + | 0.207926i | \(0.933329\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 23.1103 | + | 13.3427i | 0.742409 | + | 0.428630i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 23.7607 | − | 41.1547i | 0.762516 | − | 1.32072i | −0.179034 | − | 0.983843i | \(-0.557297\pi\) |
0.941550 | − | 0.336874i | \(-0.109370\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 14.4458 | − | 8.34028i | 0.463111 | − | 0.267377i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −42.6584 | + | 49.0623i | −1.36616 | + | 1.57125i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 31.6049 | − | 18.2471i | 1.01113 | − | 0.583776i | 0.0996074 | − | 0.995027i | \(-0.468241\pi\) |
0.911522 | + | 0.411251i | \(0.134908\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.60384 | + | 2.77793i | −0.0512589 | + | 0.0887831i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −19.0826 | − | 11.0174i | −0.609261 | − | 0.351757i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − | 44.1843i | − | 1.40926i | −0.709576 | − | 0.704629i | \(-0.751113\pi\) | ||
0.709576 | − | 0.704629i | \(-0.248887\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −41.3433 | − | 71.6087i | −1.31731 | − | 2.28164i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.74490 | 0.214692 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 14.0546 | 0.446911 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −25.3549 | − | 43.9159i | −0.805424 | − | 1.39504i | −0.916005 | − | 0.401168i | \(-0.868604\pi\) |
0.110581 | − | 0.993867i | \(-0.464729\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − | 9.49586i | − | 0.301342i | ||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 9.82511 | + | 5.67253i | 0.311477 | + | 0.179831i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 25.1384 | − | 43.5410i | 0.796141 | − | 1.37896i | −0.125971 | − | 0.992034i | \(-0.540205\pi\) |
0.922112 | − | 0.386923i | \(-0.126462\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −16.7057 | + | 9.64505i | −0.528546 | + | 0.305156i |
(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.673.5 | 12 | ||
4.3 | odd | 2 | 91.2.q.a.36.6 | ✓ | 12 | ||
12.11 | even | 2 | 819.2.ct.a.127.1 | 12 | |||
13.4 | even | 6 | inner | 1456.2.cc.c.225.5 | 12 | ||
28.3 | even | 6 | 637.2.k.g.569.6 | 12 | |||
28.11 | odd | 6 | 637.2.k.h.569.6 | 12 | |||
28.19 | even | 6 | 637.2.u.i.361.1 | 12 | |||
28.23 | odd | 6 | 637.2.u.h.361.1 | 12 | |||
28.27 | even | 2 | 637.2.q.h.491.6 | 12 | |||
52.3 | odd | 6 | 1183.2.c.i.337.11 | 12 | |||
52.11 | even | 12 | 1183.2.a.m.1.2 | 6 | |||
52.15 | even | 12 | 1183.2.a.p.1.5 | 6 | |||
52.23 | odd | 6 | 1183.2.c.i.337.2 | 12 | |||
52.43 | odd | 6 | 91.2.q.a.43.6 | yes | 12 | ||
156.95 | even | 6 | 819.2.ct.a.316.1 | 12 | |||
364.95 | odd | 6 | 637.2.u.h.30.1 | 12 | |||
364.167 | odd | 12 | 8281.2.a.by.1.2 | 6 | |||
364.199 | even | 6 | 637.2.u.i.30.1 | 12 | |||
364.223 | odd | 12 | 8281.2.a.ch.1.5 | 6 | |||
364.251 | even | 6 | 637.2.q.h.589.6 | 12 | |||
364.303 | odd | 6 | 637.2.k.h.459.1 | 12 | |||
364.355 | even | 6 | 637.2.k.g.459.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.q.a.36.6 | ✓ | 12 | 4.3 | odd | 2 | ||
91.2.q.a.43.6 | yes | 12 | 52.43 | odd | 6 | ||
637.2.k.g.459.1 | 12 | 364.355 | even | 6 | |||
637.2.k.g.569.6 | 12 | 28.3 | even | 6 | |||
637.2.k.h.459.1 | 12 | 364.303 | odd | 6 | |||
637.2.k.h.569.6 | 12 | 28.11 | odd | 6 | |||
637.2.q.h.491.6 | 12 | 28.27 | even | 2 | |||
637.2.q.h.589.6 | 12 | 364.251 | even | 6 | |||
637.2.u.h.30.1 | 12 | 364.95 | odd | 6 | |||
637.2.u.h.361.1 | 12 | 28.23 | odd | 6 | |||
637.2.u.i.30.1 | 12 | 364.199 | even | 6 | |||
637.2.u.i.361.1 | 12 | 28.19 | even | 6 | |||
819.2.ct.a.127.1 | 12 | 12.11 | even | 2 | |||
819.2.ct.a.316.1 | 12 | 156.95 | even | 6 | |||
1183.2.a.m.1.2 | 6 | 52.11 | even | 12 | |||
1183.2.a.p.1.5 | 6 | 52.15 | even | 12 | |||
1183.2.c.i.337.2 | 12 | 52.23 | odd | 6 | |||
1183.2.c.i.337.11 | 12 | 52.3 | odd | 6 | |||
1456.2.cc.c.225.5 | 12 | 13.4 | even | 6 | inner | ||
1456.2.cc.c.673.5 | 12 | 1.1 | even | 1 | trivial | ||
8281.2.a.by.1.2 | 6 | 364.167 | odd | 12 | |||
8281.2.a.ch.1.5 | 6 | 364.223 | odd | 12 |