Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1456,2,Mod(113,1456)]
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, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1456.113");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1456 = 2^{4} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1456.s (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(11.6262185343\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{5})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 2x^{2} + x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 1121.1 | ||
Root | \(0.809017 + 1.40126i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1456.1121 |
Dual form | 1456.2.s.h.113.1 |
$q$-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 \(\left(\mathbb{Z}/1456\mathbb{Z}\right)^\times\).
\(n\) | \(561\) | \(911\) | \(1093\) | \(1249\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) | \(1\) |
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 | ||||||||
\(3\) | −1.30902 | − | 2.26728i | −0.755761 | − | 1.30902i | −0.944995 | − | 0.327085i | \(-0.893934\pi\) |
0.189234 | − | 0.981932i | \(-0.439400\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.61803 | 1.17082 | 0.585410 | − | 0.810737i | \(-0.300933\pi\) | ||||
0.585410 | + | 0.810737i | \(0.300933\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.500000 | − | 0.866025i | 0.188982 | − | 0.327327i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −1.92705 | + | 3.33775i | −0.642350 | + | 1.11258i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.927051 | + | 1.60570i | 0.279516 | + | 0.484137i | 0.971265 | − | 0.238002i | \(-0.0764925\pi\) |
−0.691748 | + | 0.722139i | \(0.743159\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.50000 | − | 2.59808i | −0.693375 | − | 0.720577i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.42705 | − | 5.93583i | −0.884861 | − | 1.53262i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.736068 | − | 1.27491i | 0.178523 | − | 0.309210i | −0.762852 | − | 0.646573i | \(-0.776202\pi\) |
0.941375 | + | 0.337363i | \(0.109535\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.927051 | + | 1.60570i | −0.212680 | + | 0.368373i | −0.952552 | − | 0.304375i | \(-0.901553\pi\) |
0.739872 | + | 0.672747i | \(0.234886\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −2.61803 | −0.571302 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −2.23607 | − | 3.87298i | −0.466252 | − | 0.807573i | 0.533005 | − | 0.846112i | \(-0.321063\pi\) |
−0.999257 | + | 0.0385394i | \(0.987729\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.85410 | 0.370820 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.23607 | 0.430331 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −3.54508 | − | 6.14027i | −0.658306 | − | 1.14022i | −0.981054 | − | 0.193734i | \(-0.937940\pi\) |
0.322748 | − | 0.946485i | \(-0.395393\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.70820 | 0.845618 | 0.422809 | − | 0.906219i | \(-0.361044\pi\) | ||||
0.422809 | + | 0.906219i | \(0.361044\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.42705 | − | 4.20378i | 0.422495 | − | 0.731783i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.30902 | − | 2.26728i | 0.221264 | − | 0.383241i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.00000 | − | 3.46410i | −0.328798 | − | 0.569495i | 0.653476 | − | 0.756948i | \(-0.273310\pi\) |
−0.982274 | + | 0.187453i | \(0.939977\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.61803 | + | 9.06914i | −0.419221 | + | 1.45222i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −0.381966 | − | 0.661585i | −0.0596531 | − | 0.103322i | 0.834657 | − | 0.550771i | \(-0.185666\pi\) |
−0.894310 | + | 0.447449i | \(0.852333\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.28115 | − | 10.8793i | 0.957867 | − | 1.65907i | 0.230200 | − | 0.973143i | \(-0.426062\pi\) |
0.727667 | − | 0.685931i | \(-0.240605\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.04508 | + | 8.73834i | −0.752077 | + | 1.30264i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.23607 | 0.326164 | 0.163082 | − | 0.986613i | \(-0.447856\pi\) | ||||
0.163082 | + | 0.986613i | \(0.447856\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.85410 | −0.539682 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.76393 | 0.517016 | 0.258508 | − | 0.966009i | \(-0.416769\pi\) | ||||
0.258508 | + | 0.966009i | \(0.416769\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 2.42705 | + | 4.20378i | 0.327263 | + | 0.566837i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.85410 | 0.642942 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1.11803 | + | 1.93649i | −0.145556 | + | 0.252110i | −0.929580 | − | 0.368620i | \(-0.879830\pi\) |
0.784024 | + | 0.620730i | \(0.213164\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.00000 | − | 5.19615i | 0.384111 | − | 0.665299i | −0.607535 | − | 0.794293i | \(-0.707841\pi\) |
0.991645 | + | 0.128994i | \(0.0411748\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.92705 | + | 3.33775i | 0.242786 | + | 0.420517i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.54508 | − | 6.80185i | −0.811818 | − | 0.843666i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.35410 | − | 11.0056i | −0.776277 | − | 1.34455i | −0.934074 | − | 0.357080i | \(-0.883772\pi\) |
0.157797 | − | 0.987472i | \(-0.449561\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −5.85410 | + | 10.1396i | −0.704751 | + | 1.22066i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.09017 | + | 12.2805i | −0.841448 | + | 1.45743i | 0.0472218 | + | 0.998884i | \(0.484963\pi\) |
−0.888670 | + | 0.458547i | \(0.848370\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.00000 | −0.234082 | −0.117041 | − | 0.993127i | \(-0.537341\pi\) | ||||
−0.117041 | + | 0.993127i | \(0.537341\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.42705 | − | 4.20378i | −0.280252 | − | 0.485410i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.85410 | 0.211295 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.00000 | −0.450035 | −0.225018 | − | 0.974355i | \(-0.572244\pi\) | ||||
−0.225018 | + | 0.974355i | \(0.572244\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 2.85410 | + | 4.94345i | 0.317122 | + | 0.549272i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.70820 | −0.736321 | −0.368161 | − | 0.929762i | \(-0.620012\pi\) | ||||
−0.368161 | + | 0.929762i | \(0.620012\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.92705 | − | 3.33775i | 0.209018 | − | 0.362030i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −9.28115 | + | 16.0754i | −0.995044 | + | 1.72347i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.45492 | − | 4.25204i | −0.260220 | − | 0.450715i | 0.706080 | − | 0.708132i | \(-0.250462\pi\) |
−0.966300 | + | 0.257417i | \(0.917129\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.50000 | + | 0.866025i | −0.366900 | + | 0.0907841i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −6.16312 | − | 10.6748i | −0.639086 | − | 1.10693i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.42705 | + | 4.20378i | −0.249010 | + | 0.431298i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.42705 | + | 16.3281i | −0.957172 | + | 1.65787i | −0.227854 | + | 0.973695i | \(0.573171\pi\) |
−0.729318 | + | 0.684175i | \(0.760162\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −7.14590 | −0.718190 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.78115 | + | 10.0133i | 0.575246 | + | 0.996356i | 0.996015 | + | 0.0891877i | \(0.0284271\pi\) |
−0.420769 | + | 0.907168i | \(0.638240\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.70820 | 0.858045 | 0.429022 | − | 0.903294i | \(-0.358858\pi\) | ||||
0.429022 | + | 0.903294i | \(0.358858\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −6.85410 | −0.668892 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.69098 | − | 2.92887i | −0.163473 | − | 0.283144i | 0.772639 | − | 0.634846i | \(-0.218936\pi\) |
−0.936112 | + | 0.351702i | \(0.885603\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −2.70820 | −0.259399 | −0.129699 | − | 0.991553i | \(-0.541401\pi\) | ||||
−0.129699 | + | 0.991553i | \(0.541401\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.23607 | + | 9.06914i | −0.496986 | + | 0.860804i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.736068 | + | 1.27491i | −0.0692435 | + | 0.119933i | −0.898568 | − | 0.438833i | \(-0.855392\pi\) |
0.829325 | + | 0.558766i | \(0.188725\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.85410 | − | 10.1396i | −0.545898 | − | 0.945523i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 13.4894 | − | 3.33775i | 1.24709 | − | 0.308575i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.736068 | − | 1.27491i | −0.0674752 | − | 0.116871i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.78115 | − | 6.54915i | 0.343741 | − | 0.595377i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −1.00000 | + | 1.73205i | −0.0901670 | + | 0.156174i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −8.23607 | −0.736656 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.4271 | − | 18.0602i | −0.925251 | − | 1.60258i | −0.791157 | − | 0.611613i | \(-0.790521\pi\) |
−0.134094 | − | 0.990969i | \(-0.542813\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −32.8885 | −2.89567 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 15.3262 | 1.33906 | 0.669530 | − | 0.742785i | \(-0.266496\pi\) | ||||
0.669530 | + | 0.742785i | \(0.266496\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.927051 | + | 1.60570i | 0.0803855 | + | 0.139232i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 5.85410 | 0.503841 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1.30902 | − | 2.26728i | 0.111837 | − | 0.193707i | −0.804674 | − | 0.593717i | \(-0.797660\pi\) |
0.916511 | + | 0.400010i | \(0.130993\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.28115 | − | 3.95107i | 0.193485 | − | 0.335126i | −0.752918 | − | 0.658114i | \(-0.771354\pi\) |
0.946403 | + | 0.322989i | \(0.104688\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.92705 | − | 5.06980i | −0.246502 | − | 0.426954i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 1.85410 | − | 6.42280i | 0.155048 | − | 0.537101i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.28115 | − | 16.0754i | −0.770758 | − | 1.33499i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −1.30902 | + | 2.26728i | −0.107966 | + | 0.187002i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.927051 | + | 1.60570i | −0.0759470 | + | 0.131544i | −0.901498 | − | 0.432784i | \(-0.857531\pi\) |
0.825551 | + | 0.564328i | \(0.190865\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.29180 | 0.105125 | 0.0525624 | − | 0.998618i | \(-0.483261\pi\) | ||||
0.0525624 | + | 0.998618i | \(0.483261\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 2.83688 | + | 4.91362i | 0.229348 | + | 0.397243i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 12.3262 | 0.990067 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.8541 | 1.18549 | 0.592743 | − | 0.805392i | \(-0.298045\pi\) | ||||
0.592743 | + | 0.805392i | \(0.298045\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −4.92705 | − | 8.53390i | −0.390741 | − | 0.676783i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −4.47214 | −0.352454 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.85410 | + | 3.21140i | −0.145224 | + | 0.251536i | −0.929457 | − | 0.368931i | \(-0.879724\pi\) |
0.784232 | + | 0.620467i | \(0.213057\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.35410 | − | 11.0056i | 0.494666 | − | 0.856787i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.11803 | + | 12.3288i | 0.550810 | + | 0.954031i | 0.998216 | + | 0.0597001i | \(0.0190144\pi\) |
−0.447406 | + | 0.894331i | \(0.647652\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | + | 12.9904i | −0.0384615 | + | 0.999260i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.57295 | − | 6.18853i | −0.273230 | − | 0.473249i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.50000 | − | 7.79423i | 0.342129 | − | 0.592584i | −0.642699 | − | 0.766119i | \(-0.722185\pi\) |
0.984828 | + | 0.173534i | \(0.0555188\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.927051 | − | 1.60570i | 0.0700785 | − | 0.121379i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.85410 | 0.440021 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −4.50000 | − | 7.79423i | −0.336346 | − | 0.582568i | 0.647397 | − | 0.762153i | \(-0.275858\pi\) |
−0.983742 | + | 0.179585i | \(0.942524\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.70820 | 0.721605 | 0.360803 | − | 0.932642i | \(-0.382503\pi\) | ||||
0.360803 | + | 0.932642i | \(0.382503\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −15.7082 | −1.16118 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.23607 | − | 9.06914i | −0.384963 | − | 0.666776i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 2.72949 | 0.199600 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.11803 | − | 1.93649i | 0.0813250 | − | 0.140859i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.6910 | − | 18.5173i | 0.773572 | − | 1.33987i | −0.162021 | − | 0.986787i | \(-0.551801\pi\) |
0.935593 | − | 0.353079i | \(-0.114865\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.00000 | + | 5.19615i | 0.215945 | + | 0.374027i | 0.953564 | − | 0.301189i | \(-0.0973836\pi\) |
−0.737620 | + | 0.675216i | \(0.764050\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −6.85410 | + | 23.7433i | −0.490832 | + | 1.70029i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.39919 | + | 14.5478i | 0.598417 | + | 1.03649i | 0.993055 | + | 0.117652i | \(0.0375368\pi\) |
−0.394638 | + | 0.918837i | \(0.629130\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.2082 | + | 21.1452i | −0.865417 | + | 1.49895i | 0.00121626 | + | 0.999999i | \(0.499613\pi\) |
−0.866633 | + | 0.498946i | \(0.833720\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −16.6353 | + | 28.8131i | −1.17336 | + | 2.03232i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −7.09017 | −0.497632 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.00000 | − | 1.73205i | −0.0698430 | − | 0.120972i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 17.2361 | 1.19799 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.43769 | −0.237790 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.35410 | + | 4.07742i | 0.162063 | + | 0.280701i | 0.935608 | − | 0.353039i | \(-0.114852\pi\) |
−0.773545 | + | 0.633741i | \(0.781519\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 37.1246 | 2.54374 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 16.4443 | − | 28.4823i | 1.12149 | − | 1.94248i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.35410 | − | 4.07742i | 0.159807 | − | 0.276794i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 2.61803 | + | 4.53457i | 0.176910 | + | 0.306418i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.15248 | + | 1.27491i | −0.346593 | + | 0.0857595i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.1353 | + | 17.5548i | 0.678707 | + | 1.17555i | 0.975371 | + | 0.220573i | \(0.0707926\pi\) |
−0.296664 | + | 0.954982i | \(0.595874\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.57295 | + | 6.18853i | −0.238197 | + | 0.412569i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 0.736068 | − | 1.27491i | 0.0488545 | − | 0.0846186i | −0.840564 | − | 0.541712i | \(-0.817776\pi\) |
0.889419 | + | 0.457094i | \(0.151110\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.1246 | −0.867299 | −0.433649 | − | 0.901082i | \(-0.642774\pi\) | ||||
−0.433649 | + | 0.901082i | \(0.642774\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.42705 | − | 4.20378i | −0.159688 | − | 0.276588i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 2.61803 | 0.171513 | 0.0857566 | − | 0.996316i | \(-0.472669\pi\) | ||||
0.0857566 | + | 0.996316i | \(0.472669\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.85410 | 0.381880 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 5.23607 | + | 9.06914i | 0.340119 | + | 0.589104i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 24.7082 | 1.59824 | 0.799120 | − | 0.601171i | \(-0.205299\pi\) | ||||
0.799120 | + | 0.601171i | \(0.205299\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −12.2812 | + | 21.2716i | −0.791099 | + | 1.37022i | 0.134189 | + | 0.990956i | \(0.457157\pi\) |
−0.925287 | + | 0.379267i | \(0.876176\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 10.8262 | − | 18.7516i | 0.694503 | − | 1.20292i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −1.30902 | − | 2.26728i | −0.0836300 | − | 0.144851i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 6.48936 | − | 1.60570i | 0.412908 | − | 0.102168i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 8.78115 | + | 15.2094i | 0.556483 | + | 0.963857i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 0.381966 | − | 0.661585i | 0.0241095 | − | 0.0417588i | −0.853719 | − | 0.520734i | \(-0.825658\pi\) |
0.877828 | + | 0.478975i | \(0.158992\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.14590 | − | 7.18091i | 0.260650 | − | 0.451460i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −10.0902 | −0.631871 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −8.37132 | − | 14.4996i | −0.522189 | − | 0.904457i | −0.999667 | − | 0.0258138i | \(-0.991782\pi\) |
0.477478 | − | 0.878644i | \(-0.341551\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −4.00000 | −0.248548 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 27.3262 | 1.69145 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 4.50000 | + | 7.79423i | 0.277482 | + | 0.480613i | 0.970758 | − | 0.240059i | \(-0.0771668\pi\) |
−0.693276 | + | 0.720672i | \(0.743833\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 9.85410 | 0.605333 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.42705 | + | 11.1320i | −0.393329 | + | 0.681266i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 14.3713 | − | 24.8919i | 0.876235 | − | 1.51768i | 0.0207937 | − | 0.999784i | \(-0.493381\pi\) |
0.855441 | − | 0.517900i | \(-0.173286\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.20820 | − | 7.28882i | −0.255630 | − | 0.442764i | 0.709436 | − | 0.704770i | \(-0.248950\pi\) |
−0.965066 | + | 0.262005i | \(0.915616\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.54508 | + | 6.80185i | 0.396127 | + | 0.411667i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.71885 | + | 2.97713i | 0.103650 | + | 0.179528i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.50000 | − | 4.33013i | 0.150210 | − | 0.260172i | −0.781094 | − | 0.624413i | \(-0.785338\pi\) |
0.931305 | + | 0.364241i | \(0.118672\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −9.07295 | + | 15.7148i | −0.543183 | + | 0.940821i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 20.1803 | 1.20386 | 0.601929 | − | 0.798550i | \(-0.294399\pi\) | ||||
0.601929 | + | 0.798550i | \(0.294399\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.70820 | + | 11.6190i | 0.398761 | + | 0.690675i | 0.993573 | − | 0.113190i | \(-0.0361069\pi\) |
−0.594812 | + | 0.803865i | \(0.702774\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.7082 | 0.752769 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −0.763932 | −0.0450935 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.41641 | + | 12.8456i | 0.436259 | + | 0.755623i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 49.3607 | 2.89357 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 3.38197 | − | 5.85774i | 0.197577 | − | 0.342213i | −0.750166 | − | 0.661250i | \(-0.770026\pi\) |
0.947742 | + | 0.319037i | \(0.103360\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.92705 | + | 5.06980i | −0.170419 | + | 0.295175i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.07295 | + | 3.59045i | 0.120285 | + | 0.208339i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −4.47214 | + | 15.4919i | −0.258630 | + | 0.895922i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.28115 | − | 10.8793i | −0.362040 | − | 0.627071i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 15.1353 | − | 26.2150i | 0.869498 | − | 1.50601i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 7.85410 | − | 13.6037i | 0.449725 | − | 0.778946i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.85410 | 0.277038 | 0.138519 | − | 0.990360i | \(-0.455766\pi\) | ||||
0.138519 | + | 0.990360i | \(0.455766\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −11.3992 | − | 19.7440i | −0.648477 | − | 1.12320i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −3.32624 | −0.188614 | −0.0943068 | − | 0.995543i | \(-0.530063\pi\) | ||||
−0.0943068 | + | 0.995543i | \(0.530063\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 25.1246 | 1.42013 | 0.710064 | − | 0.704138i | \(-0.248666\pi\) | ||||
0.710064 | + | 0.704138i | \(0.248666\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 5.04508 | + | 8.73834i | 0.284258 | + | 0.492350i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 26.2361 | 1.47356 | 0.736782 | − | 0.676130i | \(-0.236344\pi\) | ||||
0.736782 | + | 0.676130i | \(0.236344\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.57295 | − | 11.3847i | 0.368014 | − | 0.637420i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.42705 | + | 7.66788i | −0.247094 | + | 0.427979i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.36475 | + | 2.36381i | 0.0759364 | + | 0.131526i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.63525 | − | 4.81710i | −0.257118 | − | 0.267205i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 3.54508 | + | 6.14027i | 0.196044 | + | 0.339558i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1.11803 | − | 1.93649i | 0.0616392 | − | 0.106762i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −5.07295 | + | 8.78661i | −0.278834 | + | 0.482956i | −0.971095 | − | 0.238692i | \(-0.923281\pi\) |
0.692261 | + | 0.721647i | \(0.256615\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 15.4164 | 0.844814 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −16.6353 | − | 28.8131i | −0.908881 | − | 1.57423i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.5623 | −0.629839 | −0.314919 | − | 0.949118i | \(-0.601978\pi\) | ||||
−0.314919 | + | 0.949118i | \(0.601978\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.85410 | 0.209326 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.36475 | + | 7.55996i | 0.236364 | + | 0.409395i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −15.3262 | + | 26.5458i | −0.825137 | + | 1.42918i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 15.3820 | − | 26.6423i | 0.825747 | − | 1.43024i | −0.0755997 | − | 0.997138i | \(-0.524087\pi\) |
0.901347 | − | 0.433098i | \(-0.142580\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −10.3541 | − | 17.9338i | −0.554242 | − | 0.959976i | −0.997962 | − | 0.0638103i | \(-0.979675\pi\) |
0.443720 | − | 0.896166i | \(-0.353659\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −5.59017 | − | 5.80948i | −0.298381 | − | 0.310087i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −11.0729 | − | 19.1789i | −0.589354 | − | 1.02079i | −0.994317 | − | 0.106458i | \(-0.966049\pi\) |
0.404964 | − | 0.914333i | \(-0.367284\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −18.5623 | + | 32.1509i | −0.985185 | + | 1.70639i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −1.92705 | + | 3.33775i | −0.101990 | + | 0.176652i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 22.0902 | 1.16587 | 0.582937 | − | 0.812517i | \(-0.301903\pi\) | ||||
0.582937 | + | 0.812517i | \(0.301903\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 7.78115 | + | 13.4774i | 0.409534 | + | 0.709334i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −19.7984 | −1.03915 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.23607 | −0.274068 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.708204 | − | 1.22665i | −0.0369679 | − | 0.0640304i | 0.846949 | − | 0.531673i | \(-0.178437\pi\) |
−0.883917 | + | 0.467643i | \(0.845103\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 2.94427 | 0.153273 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.88197 | − | 3.25966i | 0.0977068 | − | 0.169233i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 10.2812 | − | 17.8075i | 0.532338 | − | 0.922036i | −0.466949 | − | 0.884284i | \(-0.654647\pi\) |
0.999287 | − | 0.0377522i | \(-0.0120198\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 10.7812 | + | 18.6735i | 0.556736 | + | 0.964296i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7.09017 | + | 24.5611i | −0.365162 | + | 1.26496i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −3.07295 | − | 5.32250i | −0.157847 | − | 0.273399i | 0.776245 | − | 0.630431i | \(-0.217122\pi\) |
−0.934092 | + | 0.357032i | \(0.883789\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −27.2984 | + | 47.2822i | −1.39854 | + | 2.42234i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −10.9894 | + | 19.0341i | −0.561530 | + | 0.972598i | 0.435833 | + | 0.900027i | \(0.356454\pi\) |
−0.997363 | + | 0.0725709i | \(0.976880\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.85410 | 0.247388 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 24.2082 | + | 41.9298i | 1.23057 | + | 2.13141i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −11.8885 | −0.602773 | −0.301387 | − | 0.953502i | \(-0.597449\pi\) | ||||
−0.301387 | + | 0.953502i | \(0.597449\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.58359 | −0.332947 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −20.0623 | − | 34.7489i | −1.01201 | − | 1.75285i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −10.4721 | −0.526910 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.708204 | + | 1.22665i | −0.0355437 | + | 0.0615636i | −0.883250 | − | 0.468902i | \(-0.844650\pi\) |
0.847706 | + | 0.530466i | \(0.177983\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.42705 | − | 4.20378i | 0.121505 | − | 0.210452i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −17.7254 | − | 30.7013i | −0.885165 | − | 1.53315i | −0.845524 | − | 0.533938i | \(-0.820712\pi\) |
−0.0396416 | − | 0.999214i | \(-0.512622\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −11.7705 | − | 12.2323i | −0.586331 | − | 0.609333i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 7.47214 | + | 12.9421i | 0.371293 | + | 0.643099i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.70820 | − | 6.42280i | 0.183809 | − | 0.318366i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.21885 | + | 12.5034i | −0.356949 | + | 0.618254i | −0.987450 | − | 0.157935i | \(-0.949516\pi\) |
0.630500 | + | 0.776189i | \(0.282850\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.85410 | −0.338088 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1.11803 | + | 1.93649i | 0.0550149 | + | 0.0952885i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −17.5623 | −0.862100 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −11.9443 | −0.584914 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −5.97214 | − | 10.3440i | −0.291758 | − | 0.505340i | 0.682468 | − | 0.730916i | \(-0.260907\pi\) |
−0.974226 | + | 0.225576i | \(0.927574\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.41641 | 0.0690315 | 0.0345157 | − | 0.999404i | \(-0.489011\pi\) | ||||
0.0345157 | + | 0.999404i | \(0.489011\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −4.30902 | + | 7.46344i | −0.209512 | + | 0.362885i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.36475 | − | 2.36381i | 0.0661999 | − | 0.114662i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.00000 | − | 5.19615i | −0.145180 | − | 0.251459i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −16.9894 | + | 4.20378i | −0.820254 | + | 0.202960i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.89919 | + | 6.75359i | 0.187817 | + | 0.325309i | 0.944522 | − | 0.328448i | \(-0.106525\pi\) |
−0.756705 | + | 0.653756i | \(0.773192\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.500000 | + | 0.866025i | −0.0240285 | + | 0.0416185i | −0.877790 | − | 0.479046i | \(-0.840983\pi\) |
0.853761 | + | 0.520665i | \(0.174316\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −24.2984 | + | 42.0860i | −1.16502 | + | 2.01787i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 8.29180 | 0.396650 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.42705 | + | 12.8640i | 0.354474 | + | 0.613967i | 0.987028 | − | 0.160550i | \(-0.0513267\pi\) |
−0.632554 | + | 0.774516i | \(0.717993\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.85410 | 0.183529 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.23607 | 0.248773 | 0.124387 | − | 0.992234i | \(-0.460304\pi\) | ||||
0.124387 | + | 0.992234i | \(0.460304\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.42705 | − | 11.1320i | −0.304671 | − | 0.527706i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 4.85410 | 0.229591 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.76393 | + | 16.9116i | −0.460788 | + | 0.798109i | −0.999000 | − | 0.0447005i | \(-0.985767\pi\) |
0.538212 | + | 0.842809i | \(0.319100\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 0.708204 | − | 1.22665i | 0.0333480 | − | 0.0577605i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.69098 | − | 2.92887i | −0.0794493 | − | 0.137610i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −9.16312 | + | 2.26728i | −0.429574 | + | 0.106292i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −7.70820 | − | 13.3510i | −0.360575 | − | 0.624533i | 0.627481 | − | 0.778632i | \(-0.284086\pi\) |
−0.988055 | + | 0.154098i | \(0.950753\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.64590 | − | 2.85078i | 0.0768239 | − | 0.133063i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 6.10739 | − | 10.5783i | 0.284450 | − | 0.492681i | −0.688026 | − | 0.725686i | \(-0.741523\pi\) |
0.972476 | + | 0.233005i | \(0.0748558\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −6.70820 | −0.311757 | −0.155878 | − | 0.987776i | \(-0.549821\pi\) | ||||
−0.155878 | + | 0.987776i | \(0.549821\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −16.1353 | − | 27.9471i | −0.748255 | − | 1.29601i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −2.34752 | −0.108630 | −0.0543152 | − | 0.998524i | \(-0.517298\pi\) | ||||
−0.0543152 | + | 0.998524i | \(0.517298\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.7082 | −0.586810 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −19.4443 | − | 33.6785i | −0.895945 | − | 1.55182i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 23.2918 | 1.07096 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.71885 | + | 2.97713i | −0.0788661 | + | 0.136600i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −7.25329 | + | 12.5631i | −0.332105 | + | 0.575223i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 12.4894 | + | 21.6322i | 0.570653 | + | 0.988400i | 0.996499 | + | 0.0836047i | \(0.0266433\pi\) |
−0.425846 | + | 0.904796i | \(0.640023\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.00000 | + | 13.8564i | −0.182384 | + | 0.631798i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 5.85410 | + | 10.1396i | 0.266371 | + | 0.461368i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −24.6803 | + | 42.7476i | −1.12068 | + | 1.94107i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 14.9894 | − | 25.9623i | 0.679233 | − | 1.17647i | −0.295980 | − | 0.955194i | \(-0.595646\pi\) |
0.975212 | − | 0.221271i | \(-0.0710206\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 9.70820 | 0.439020 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.19098 | + | 10.7231i | 0.279395 | + | 0.483927i | 0.971235 | − | 0.238125i | \(-0.0765327\pi\) |
−0.691839 | + | 0.722051i | \(0.743199\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −10.4377 | −0.470090 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −18.7082 | −0.840871 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 7.09017 | + | 12.2805i | 0.318038 | + | 0.550857i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −14.8541 | −0.664961 | −0.332480 | − | 0.943110i | \(-0.607886\pi\) | ||||
−0.332480 | + | 0.943110i | \(0.607886\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 18.6353 | − | 32.2772i | 0.832562 | − | 1.44204i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 13.3090 | − | 23.0519i | 0.593420 | − | 1.02783i | −0.400348 | − | 0.916363i | \(-0.631111\pi\) |
0.993768 | − | 0.111470i | \(-0.0355559\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 15.1353 | + | 26.2150i | 0.673510 | + | 1.16655i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 30.1074 | − | 15.8710i | 1.33712 | − | 0.704855i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 9.29837 | + | 16.1053i | 0.412143 | + | 0.713853i | 0.995124 | − | 0.0986331i | \(-0.0314470\pi\) |
−0.582981 | + | 0.812486i | \(0.698114\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.00000 | + | 1.73205i | −0.0442374 | + | 0.0766214i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −2.07295 | + | 3.59045i | −0.0915229 | + | 0.158522i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 22.7984 | 1.00462 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.07295 | + | 3.59045i | 0.0911682 | + | 0.157908i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −23.5623 | −1.03427 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 18.6525 | 0.817180 | 0.408590 | − | 0.912718i | \(-0.366021\pi\) | ||||
0.408590 | + | 0.912718i | \(0.366021\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.562306 | + | 0.973942i | 0.0245879 | + | 0.0425875i | 0.878058 | − | 0.478555i | \(-0.158839\pi\) |
−0.853470 | + | 0.521143i | \(0.825506\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.85410 | −0.211850 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 3.46556 | − | 6.00252i | 0.150962 | − | 0.261474i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.50000 | − | 2.59808i | 0.0652174 | − | 0.112960i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −4.30902 | − | 7.46344i | −0.186995 | − | 0.323886i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −0.763932 | + | 2.64634i | −0.0330896 | + | 0.114626i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.42705 | − | 7.66788i | −0.191398 | − | 0.331511i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −11.7812 | + | 20.4056i | −0.508394 | + | 0.880565i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.927051 | − | 1.60570i | 0.0399309 | − | 0.0691624i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.2705 | 1.51640 | 0.758199 | − | 0.652023i | \(-0.226080\pi\) | ||||
0.758199 | + | 0.652023i | \(0.226080\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −12.7082 | − | 22.0113i | −0.545361 | − | 0.944593i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −7.09017 | −0.303710 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.00000 | 0.128271 | 0.0641354 | − | 0.997941i | \(-0.479571\pi\) | ||||
0.0641354 | + | 0.997941i | \(0.479571\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.5623 | + | 20.0265i | 0.493467 | + | 0.854710i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 13.1459 | 0.560034 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −2.00000 | + | 3.46410i | −0.0850487 | + | 0.147309i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −13.7082 | + | 23.7433i | −0.581881 | + | 1.00785i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 13.9894 | + | 24.2303i | 0.592748 | + | 1.02667i | 0.993860 | + | 0.110641i | \(0.0352904\pi\) |
−0.401112 | + | 0.916029i | \(0.631376\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −43.9681 | + | 10.8793i | −1.85965 | + | 0.460144i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.57295 | − | 6.18853i | −0.150850 | − | 0.261280i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −10.5279 | + | 18.2348i | −0.443697 | + | 0.768505i | −0.997960 | − | 0.0638360i | \(-0.979667\pi\) |
0.554264 | + | 0.832341i | \(0.313000\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.92705 | + | 3.33775i | −0.0810716 | + | 0.140420i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 5.70820 | 0.239722 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −7.47214 | − | 12.9421i | −0.313248 | − | 0.542562i | 0.665815 | − | 0.746117i | \(-0.268084\pi\) |
−0.979064 | + | 0.203555i | \(0.934751\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −24.6869 | −1.03312 | −0.516558 | − | 0.856252i | \(-0.672787\pi\) | ||||
−0.516558 | + | 0.856252i | \(0.672787\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −55.9787 | −2.33854 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.14590 | − | 7.18091i | −0.172896 | − | 0.299464i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −43.8328 | −1.82478 | −0.912392 | − | 0.409318i | \(-0.865767\pi\) | ||||
−0.912392 | + | 0.409318i | \(0.865767\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.85410 | − | 13.6037i | 0.326405 | − | 0.565351i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.35410 | + | 5.80948i | −0.139152 | + | 0.241018i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.48936 | + | 6.04374i | 0.144514 | + | 0.250306i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 35.3156 | − | 8.73834i | 1.46012 | − | 0.361286i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −9.95492 | − | 17.2424i | −0.410883 | − | 0.711671i | 0.584103 | − | 0.811679i | \(-0.301446\pi\) |
−0.994987 | + | 0.100009i | \(0.968113\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.36475 | + | 7.55996i | −0.179846 | + | 0.311503i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 21.9894 | − | 38.0867i | 0.904521 | − | 1.56668i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 43.7984 | 1.79858 | 0.899292 | − | 0.437349i | \(-0.144083\pi\) | ||||
0.899292 | + | 0.437349i | \(0.144083\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.92705 | − | 3.33775i | −0.0790014 | − | 0.136834i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 63.9230 | 2.61619 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −29.5066 | −1.20561 | −0.602803 | − | 0.797890i | \(-0.705950\pi\) | ||||
−0.602803 | + | 0.797890i | \(0.705950\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −20.1976 | − | 34.9832i | −0.823876 | − | 1.42699i | −0.902776 | − | 0.430112i | \(-0.858474\pi\) |
0.0788998 | − | 0.996883i | \(-0.474859\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 48.9787 | 1.99457 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 9.89919 | − | 17.1459i | 0.402459 | − | 0.697080i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.5000 | + | 19.9186i | −0.466771 | + | 0.808470i | −0.999279 | − | 0.0379540i | \(-0.987916\pi\) |
0.532509 | + | 0.846424i | \(0.321249\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 9.28115 | + | 16.0754i | 0.376091 | + | 0.651409i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −5.59017 | − | 5.80948i | −0.226154 | − | 0.235026i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.2812 | − | 29.9318i | −0.697979 | − | 1.20894i | −0.969166 | − | 0.246409i | \(-0.920749\pi\) |
0.271187 | − | 0.962527i | \(-0.412584\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −2.61803 | + | 4.53457i | −0.105569 | + | 0.182851i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −0.0278640 | + | 0.0482619i | −0.00112176 | + | 0.00194295i | −0.866586 | − | 0.499028i | \(-0.833690\pi\) |
0.865464 | + | 0.500971i | \(0.167024\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −9.41641 | −0.378477 | −0.189239 | − | 0.981931i | \(-0.560602\pi\) | ||||
−0.189239 | + | 0.981931i | \(0.560602\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −5.00000 | − | 8.66025i | −0.200643 | − | 0.347524i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −4.90983 | −0.196708 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −30.8328 | −1.23331 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.50000 | + | 7.79423i | 0.179713 | + | 0.311272i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −5.88854 | −0.234792 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.1976 | − | 29.7870i | 0.684624 | − | 1.18580i | −0.288931 | − | 0.957350i | \(-0.593300\pi\) |
0.973555 | − | 0.228454i | \(-0.0733669\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 6.16312 | − | 10.6748i | 0.244962 | − | 0.424287i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −27.2984 | − | 47.2822i | −1.08330 | − | 1.87634i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.00000 | + | 3.46410i | −0.0396214 | + | 0.137253i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −27.3262 | − | 47.3304i | −1.08101 | − | 1.87236i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 23.7533 | − | 41.1419i | 0.938199 | − | 1.62501i | 0.169370 | − | 0.985553i | \(-0.445827\pi\) |
0.768829 | − | 0.639455i | \(-0.220840\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.50000 | + | 6.06218i | −0.138027 | + | 0.239069i | −0.926750 | − | 0.375680i | \(-0.877409\pi\) |
0.788723 | + | 0.614749i | \(0.210743\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −86.1033 | −3.39032 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 12.3820 | + | 21.4462i | 0.486785 | + | 0.843137i | 0.999885 | − | 0.0151924i | \(-0.00483607\pi\) |
−0.513099 | + | 0.858329i | \(0.671503\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.14590 | −0.162741 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −12.3262 | −0.483103 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 0.190983 | + | 0.330792i | 0.00747374 | + | 0.0129449i | 0.869738 | − | 0.493514i | \(-0.164288\pi\) |
−0.862264 | + | 0.506458i | \(0.830954\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 40.1246 | 1.56780 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 3.85410 | − | 6.67550i | 0.150363 | − | 0.260436i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −11.9443 | + | 20.6881i | −0.465283 | + | 0.805893i | −0.999214 | − | 0.0396343i | \(-0.987381\pi\) |
0.533931 | + | 0.845528i | \(0.320714\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.2705 | + | 42.0378i | 0.944013 | + | 1.63508i | 0.757715 | + | 0.652586i | \(0.226316\pi\) |
0.186299 | + | 0.982493i | \(0.440351\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 9.63525 | + | 10.0133i | 0.374202 | + | 0.388882i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.42705 | + | 4.20378i | 0.0941170 | + | 0.163015i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.8541 | + | 27.4601i | −0.613873 | + | 1.06326i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 26.5344 | − | 45.9590i | 1.02588 | − | 1.77688i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 11.1246 | 0.429461 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.6246 | + | 33.9908i | 0.756473 | + | 1.31025i | 0.944639 | + | 0.328113i | \(0.106413\pi\) |
−0.188165 | + | 0.982137i | \(0.560254\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 4.14590 | 0.159576 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 43.7426 | 1.68117 | 0.840583 | − | 0.541682i | \(-0.182212\pi\) | ||||
0.840583 | + | 0.541682i | \(0.182212\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.42705 | + | 16.3281i | 0.361777 | + | 0.626616i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −3.85410 | −0.147690 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 0.736068 | − | 1.27491i | 0.0281649 | − | 0.0487830i | −0.851599 | − | 0.524193i | \(-0.824367\pi\) |
0.879764 | + | 0.475410i | \(0.157700\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.42705 | − | 5.93583i | 0.130941 | − | 0.226796i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 17.1803 | + | 29.7572i | 0.655471 | + | 1.13531i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −9.40983 | − | 9.77898i | −0.358486 | − | 0.372550i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −2.92705 | − | 5.06980i | −0.111350 | − | 0.192864i | 0.804965 | − | 0.593323i | \(-0.202184\pi\) |
−0.916315 | + | 0.400458i | \(0.868851\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.57295 | + | 6.18853i | −0.135725 | + | 0.235083i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 5.97214 | − | 10.3440i | 0.226536 | − | 0.392372i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.12461 | −0.0425977 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −3.42705 | − | 5.93583i | −0.129623 | − | 0.224514i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 11.2361 | 0.424380 | 0.212190 | − | 0.977228i | \(-0.431940\pi\) | ||||
0.212190 | + | 0.977228i | \(0.431940\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.41641 | 0.279715 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.66312 | − | 13.2729i | −0.288610 | − | 0.499887i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 11.5623 | 0.434845 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −11.7812 | + | 20.4056i | −0.442450 | + | 0.766347i | −0.997871 | − | 0.0652231i | \(-0.979224\pi\) |
0.555420 | + | 0.831570i | \(0.312557\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 7.70820 | − | 13.3510i | 0.289080 | − | 0.500702i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −10.5279 | − | 18.2348i | −0.394272 | − | 0.682898i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.85410 | − | 16.8151i | 0.181533 | − | 0.628849i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −32.3435 | − | 56.0205i | −1.20789 | − | 2.09212i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 4.06231 | − | 7.03612i | 0.151498 | − | 0.262403i | −0.780280 | − | 0.625430i | \(-0.784923\pi\) |
0.931779 | + | 0.363027i | \(0.118257\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.35410 | − | 7.54153i | 0.162155 | − | 0.280861i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 64.3050 | 2.39153 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −6.57295 | − | 11.3847i | −0.244113 | − | 0.422816i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 30.7082 | 1.13890 | 0.569452 | − | 0.822025i | \(-0.307155\pi\) | ||||
0.569452 | + | 0.822025i | \(0.307155\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −39.5623 | −1.46527 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −9.24671 | − | 16.0158i | −0.342002 | − | 0.592365i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −32.2705 | −1.19194 | −0.595969 | − | 0.803007i | \(-0.703232\pi\) | ||||
−0.595969 | + | 0.803007i | \(0.703232\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.42705 | + | 5.93583i | −0.126409 | + | 0.218946i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 11.7812 | − | 20.4056i | 0.433964 | − | 0.751648i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −3.43769 | − | 5.95426i | −0.126458 | − | 0.219031i | 0.795844 | − | 0.605502i | \(-0.207027\pi\) |
−0.922302 | + | 0.386470i | \(0.873694\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −12.1353 | − | 12.6113i | −0.445800 | − | 0.463289i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.6631 | + | 34.0575i | 0.721370 | + | 1.24945i | 0.960451 | + | 0.278450i | \(0.0898205\pi\) |
−0.239081 | + | 0.971000i | \(0.576846\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.42705 | + | 4.20378i | −0.0889203 | + | 0.154014i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 12.9271 | − | 22.3903i | 0.472976 | − | 0.819219i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.38197 | −0.123574 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.3541 | + | 19.6659i | 0.414317 | + | 0.717618i | 0.995356 | − | 0.0962572i | \(-0.0306871\pi\) |
−0.581039 | + | 0.813875i | \(0.697354\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.00000 | −0.0728841 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.38197 | 0.123082 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.0000 | − | 24.2487i | −0.508839 | − | 0.881334i | −0.999948 | − | 0.0102362i | \(-0.996742\pi\) |
0.491109 | − | 0.871098i | \(-0.336592\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −21.7082 | −0.787958 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 14.4271 | − | 24.9884i | 0.522980 | − | 0.905828i | −0.476662 | − | 0.879087i | \(-0.658154\pi\) |
0.999642 | − | 0.0267417i | \(-0.00851317\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.35410 | + | 2.34537i | −0.0490218 | + | 0.0849082i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 7.42705 | + | 12.8640i | 0.268526 | + | 0.465100i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 7.82624 | − | 1.93649i | 0.282589 | − | 0.0699227i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.20820 | + | 15.9491i | 0.332056 | + | 0.575138i | 0.982915 | − | 0.184061i | \(-0.0589243\pi\) |
−0.650859 | + | 0.759199i | \(0.725591\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −21.9164 | + | 37.9603i | −0.789300 | + | 1.36711i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −12.6803 | + | 21.9630i | −0.456080 | + | 0.789954i | −0.998750 | − | 0.0499924i | \(-0.984080\pi\) |
0.542669 | + | 0.839946i | \(0.317414\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 8.72949 | 0.313573 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 5.23607 | + | 9.06914i | 0.187843 | + | 0.325353i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 1.41641 | 0.0507481 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −26.2918 | −0.940794 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −7.92705 | − | 13.7301i | −0.283290 | − | 0.490672i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 38.8885 | 1.38799 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 1.29180 | − | 2.23746i | 0.0460476 | − | 0.0797567i | −0.842083 | − | 0.539348i | \(-0.818671\pi\) |
0.888131 | + | 0.459591i | \(0.152004\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 11.7812 | − | 20.4056i | 0.419420 | − | 0.726457i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.736068 | + | 1.27491i | 0.0261716 | + | 0.0453305i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −21.0000 | + | 5.19615i | −0.745732 | + | 0.184521i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −12.8992 | − | 22.3420i | −0.457487 | − | 0.792391i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 4.09017 | − | 7.08438i | 0.144881 | − | 0.250942i | −0.784447 | − | 0.620195i | \(-0.787053\pi\) |
0.929329 | + | 0.369254i | \(0.120387\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.64590 | − | 2.85078i | 0.0582277 | − | 0.100853i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 18.9230 | 0.668611 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1.85410 | − | 3.21140i | −0.0654298 | − | 0.113328i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.7082 | −0.412660 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −75.2492 | −2.64890 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 2.20820 | + | 3.82472i | 0.0776363 | + | 0.134470i | 0.902230 | − | 0.431256i | \(-0.141929\pi\) |
−0.824593 | + | 0.565726i | \(0.808596\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −39.2705 | −1.37897 | −0.689487 | − | 0.724298i | \(-0.742164\pi\) | ||||
−0.689487 | + | 0.724298i | \(0.742164\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −11.0172 | + | 19.0824i | −0.386391 | + | 0.669249i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −4.85410 | + | 8.40755i | −0.170032 | + | 0.294504i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.6459 | + | 20.1713i | 0.407438 | + | 0.705704i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 3.85410 | − | 13.3510i | 0.134673 | − | 0.466522i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.68034 | + | 6.37454i | 0.128445 | + | 0.222473i | 0.923074 | − | 0.384622i | \(-0.125668\pi\) |
−0.794629 | + | 0.607095i | \(0.792335\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −19.2082 | + | 33.2696i | −0.669556 | + | 1.15970i | 0.308473 | + | 0.951233i | \(0.400182\pi\) |
−0.978028 | + | 0.208472i | \(0.933151\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 4.50000 | − | 7.79423i | 0.156670 | − | 0.271360i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −15.9787 | −0.555634 | −0.277817 | − | 0.960634i | \(-0.589611\pi\) | ||||
−0.277817 | + | 0.960634i | \(0.589611\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.78115 | − | 6.54915i | −0.131325 | − | 0.227461i | 0.792863 | − | 0.609400i | \(-0.208590\pi\) |
−0.924188 | + | 0.381939i | \(0.875256\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −13.0902 | −0.454093 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −1.47214 | −0.0510065 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 18.6353 | + | 32.2772i | 0.644900 | + | 1.11700i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 10.5279 | 0.363896 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 6.87132 | − | 11.9015i | 0.237224 | − | 0.410885i | −0.722692 | − | 0.691170i | \(-0.757096\pi\) |
0.959917 | + | 0.280285i | \(0.0904290\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −10.6353 | + | 18.4208i | −0.366733 | + | 0.635200i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −26.4164 | − | 45.7546i | −0.909829 | − | 1.57587i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −1.30902 | + | 34.0093i | −0.0450316 | + | 1.16995i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.78115 | − | 6.54915i | −0.129922 | − | 0.225031i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 17.5623 | − | 30.4188i | 0.602737 | − | 1.04397i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −8.94427 | + | 15.4919i | −0.306606 | + | 0.531057i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.1246 | 0.483617 | 0.241809 | − | 0.970324i | \(-0.422259\pi\) | ||||
0.241809 | + | 0.970324i | \(0.422259\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −9.35410 | − | 16.2018i | −0.319904 | − | 0.554089i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −26.4508 | −0.903544 | −0.451772 | − | 0.892133i | \(-0.649208\pi\) | ||||
−0.451772 | + | 0.892133i | \(0.649208\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 44.2492 | 1.50976 | 0.754882 | − | 0.655861i | \(-0.227694\pi\) | ||||
0.754882 | + | 0.655861i | \(0.227694\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 1.00000 | + | 1.73205i | 0.0340799 | + | 0.0590281i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −11.8885 | −0.404691 | −0.202345 | − | 0.979314i | \(-0.564856\pi\) | ||||
−0.202345 | + | 0.979314i | \(0.564856\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 11.7812 | − | 20.4056i | 0.400571 | − | 0.693810i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 19.4164 | − | 33.6302i | 0.659416 | − | 1.14214i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −3.70820 | − | 6.42280i | −0.125792 | − | 0.217878i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −12.7082 | + | 44.0225i | −0.430601 | + | 1.49165i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −36.3328 | − | 62.9303i | −1.22968 | − | 2.12987i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −4.11803 | + | 7.13264i | −0.139215 | + | 0.241127i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.354102 | + | 0.613323i | −0.0119572 | + | 0.0207104i | −0.871942 | − | 0.489609i | \(-0.837140\pi\) |
0.859985 | + | 0.510319i | \(0.170473\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −17.7082 | −0.597283 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 18.2984 | + | 31.6937i | 0.616488 | + | 1.06779i | 0.990122 | + | 0.140212i | \(0.0447784\pi\) |
−0.373634 | + | 0.927576i | \(0.621888\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −29.0000 | −0.975928 | −0.487964 | − | 0.872864i | \(-0.662260\pi\) | ||||
−0.487964 | + | 0.872864i | \(0.662260\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 15.3262 | 0.515186 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 27.3262 | + | 47.3304i | 0.917525 | + | 1.58920i | 0.803161 | + | 0.595761i | \(0.203150\pi\) |
0.114364 | + | 0.993439i | \(0.463517\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −20.8541 | −0.699424 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −5.29180 | + | 9.16566i | −0.177282 | + | 0.307061i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −2.07295 | + | 3.59045i | −0.0693686 | + | 0.120150i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −11.7812 | − | 20.4056i | −0.393801 | − | 0.682082i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 40.9787 | − | 10.1396i | 1.36824 | − | 0.338551i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −16.6910 | − | 28.9096i | −0.556675 | − | 0.964190i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 2.77051 | − | 4.79866i | 0.0922991 | − | 0.159867i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −16.4443 | + | 28.4823i | −0.547231 | + | 0.947832i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 25.4164 | 0.844870 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −12.0000 | − | 20.7846i | −0.398453 | − | 0.690142i | 0.595082 | − | 0.803665i | \(-0.297120\pi\) |
−0.993535 | + | 0.113523i | \(0.963786\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −44.5623 | −1.47804 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 22.6869 | 0.751651 | 0.375826 | − | 0.926690i | \(-0.377359\pi\) | ||||
0.375826 | + | 0.926690i | \(0.377359\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −6.21885 | − | 10.7714i | −0.205814 | − | 0.356480i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −41.1246 | −1.35954 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.66312 | − | 13.2729i | 0.253058 | − | 0.438310i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.0000 | + | 25.9808i | −0.494804 | + | 0.857026i | −0.999982 | − | 0.00598907i | \(-0.998094\pi\) |
0.505178 | + | 0.863015i | \(0.331427\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.35410 | − | 11.0056i | −0.209375 | − | 0.362648i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 49.6312 | − | 12.2805i | 1.63363 | − | 0.404219i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.70820 | − | 6.42280i | −0.121925 | − | 0.211180i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −16.7812 | + | 29.0658i | −0.551165 | + | 0.954646i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −5.53444 | + | 9.58593i | −0.181579 | + | 0.314504i | −0.942418 | − | 0.334436i | \(-0.891454\pi\) |
0.760839 | + | 0.648940i | \(0.224788\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.85410 | 0.0607657 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 4.35410 | + | 7.54153i | 0.142547 | + | 0.246898i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 7.14590 | 0.233696 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −15.8754 | −0.518626 | −0.259313 | − | 0.965793i | \(-0.583496\pi\) | ||||
−0.259313 | + | 0.965793i | \(0.583496\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −32.8885 | − | 56.9646i | −1.07328 | − | 1.85897i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 20.3475 | 0.663310 | 0.331655 | − | 0.943401i | \(-0.392393\pi\) | ||||
0.331655 | + | 0.943401i | \(0.392393\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.70820 | + | 2.95870i | −0.0556268 | + | 0.0963484i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.92705 | − | 5.06980i | 0.0952170 | − | 0.164921i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −18.4336 | − | 31.9280i | −0.599012 | − | 1.03752i | −0.992967 | − | 0.118390i | \(-0.962227\pi\) |
0.393955 | − | 0.919130i | \(-0.371107\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.00000 | + | 5.19615i | 0.162307 | + | 0.168674i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −34.3435 | − | 59.4846i | −1.11366 | − | 1.92892i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −13.3885 | + | 23.1896i | −0.433697 | + | 0.751186i | −0.997188 | − | 0.0749362i | \(-0.976125\pi\) |
0.563491 | + | 0.826122i | \(0.309458\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 27.9894 | − | 48.4790i | 0.905714 | − | 1.56874i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −34.4164 | −1.11252 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −1.30902 | − | 2.26728i | −0.0422704 | − | 0.0732144i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.83282 | −0.284930 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 13.0344 | 0.420029 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 7.85410 | + | 13.6037i | 0.252832 | + | 0.437919i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 39.0000 | 1.25416 | 0.627078 | − | 0.778957i | \(-0.284251\pi\) | ||||
0.627078 | + | 0.778957i | \(0.284251\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 3.57295 | − | 6.18853i | 0.114780 | − | 0.198804i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 15.7918 | − | 27.3522i | 0.506783 | − | 0.877774i | −0.493186 | − | 0.869924i | \(-0.664168\pi\) |
0.999969 | − | 0.00784995i | \(-0.00249874\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −2.28115 | − | 3.95107i | −0.0731304 | − | 0.126666i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −4.85410 | + | 16.8151i | −0.155456 | + | 0.538514i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 11.2639 | + | 19.5097i | 0.360365 | + | 0.624171i | 0.988021 | − | 0.154320i | \(-0.0493188\pi\) |
−0.627656 | + | 0.778491i | \(0.715985\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 4.55166 | − | 7.88371i | 0.145472 | − | 0.251965i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.21885 | − | 9.03931i | 0.166625 | − | 0.288603i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −18.3820 | −0.586294 | −0.293147 | − | 0.956067i | \(-0.594702\pi\) | ||||
−0.293147 | + | 0.956067i | \(0.594702\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 21.9894 | + | 38.0867i | 0.700639 | + | 1.21354i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −5.85410 | −0.186338 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −56.1803 | −1.78643 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −8.07295 | − | 13.9828i | −0.256446 | − | 0.444177i | 0.708842 | − | 0.705368i | \(-0.249218\pi\) |
−0.965287 | + | 0.261191i | \(0.915885\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 26.5623 | 0.842929 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −31.9615 | + | 55.3589i | −1.01325 | + | 1.75500i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −24.5000 | + | 42.4352i | −0.775923 | + | 1.34394i | 0.158352 | + | 0.987383i | \(0.449382\pi\) |
−0.934274 | + | 0.356555i | \(0.883951\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.47214 | − | 7.74597i | −0.141492 | − | 0.245072i |
(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.s.h.1121.1 | 4 | ||
4.3 | odd | 2 | 91.2.f.a.29.1 | yes | 4 | ||
12.11 | even | 2 | 819.2.o.c.757.2 | 4 | |||
13.9 | even | 3 | inner | 1456.2.s.h.113.1 | 4 | ||
28.3 | even | 6 | 637.2.h.f.471.2 | 4 | |||
28.11 | odd | 6 | 637.2.h.g.471.2 | 4 | |||
28.19 | even | 6 | 637.2.g.c.263.1 | 4 | |||
28.23 | odd | 6 | 637.2.g.b.263.1 | 4 | |||
28.27 | even | 2 | 637.2.f.c.393.1 | 4 | |||
52.3 | odd | 6 | 1183.2.a.g.1.2 | 2 | |||
52.11 | even | 12 | 1183.2.c.c.337.4 | 4 | |||
52.15 | even | 12 | 1183.2.c.c.337.1 | 4 | |||
52.23 | odd | 6 | 1183.2.a.c.1.1 | 2 | |||
52.35 | odd | 6 | 91.2.f.a.22.1 | ✓ | 4 | ||
156.35 | even | 6 | 819.2.o.c.568.2 | 4 | |||
364.55 | even | 6 | 8281.2.a.bb.1.2 | 2 | |||
364.87 | even | 6 | 637.2.g.c.373.1 | 4 | |||
364.139 | even | 6 | 637.2.f.c.295.1 | 4 | |||
364.191 | odd | 6 | 637.2.h.g.165.2 | 4 | |||
364.243 | even | 6 | 637.2.h.f.165.2 | 4 | |||
364.335 | even | 6 | 8281.2.a.n.1.1 | 2 | |||
364.347 | odd | 6 | 637.2.g.b.373.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.f.a.22.1 | ✓ | 4 | 52.35 | odd | 6 | ||
91.2.f.a.29.1 | yes | 4 | 4.3 | odd | 2 | ||
637.2.f.c.295.1 | 4 | 364.139 | even | 6 | |||
637.2.f.c.393.1 | 4 | 28.27 | even | 2 | |||
637.2.g.b.263.1 | 4 | 28.23 | odd | 6 | |||
637.2.g.b.373.1 | 4 | 364.347 | odd | 6 | |||
637.2.g.c.263.1 | 4 | 28.19 | even | 6 | |||
637.2.g.c.373.1 | 4 | 364.87 | even | 6 | |||
637.2.h.f.165.2 | 4 | 364.243 | even | 6 | |||
637.2.h.f.471.2 | 4 | 28.3 | even | 6 | |||
637.2.h.g.165.2 | 4 | 364.191 | odd | 6 | |||
637.2.h.g.471.2 | 4 | 28.11 | odd | 6 | |||
819.2.o.c.568.2 | 4 | 156.35 | even | 6 | |||
819.2.o.c.757.2 | 4 | 12.11 | even | 2 | |||
1183.2.a.c.1.1 | 2 | 52.23 | odd | 6 | |||
1183.2.a.g.1.2 | 2 | 52.3 | odd | 6 | |||
1183.2.c.c.337.1 | 4 | 52.15 | even | 12 | |||
1183.2.c.c.337.4 | 4 | 52.11 | even | 12 | |||
1456.2.s.h.113.1 | 4 | 13.9 | even | 3 | inner | ||
1456.2.s.h.1121.1 | 4 | 1.1 | even | 1 | trivial | ||
8281.2.a.n.1.1 | 2 | 364.335 | even | 6 | |||
8281.2.a.bb.1.2 | 2 | 364.55 | even | 6 |