Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1620,2,Mod(971,1620)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1620, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1620.971");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1620 = 2^{2} \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1620.e (of order \(2\), degree \(1\), 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: | \(12.9357651274\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 971.20 | ||
Character | \(\chi\) | \(=\) | 1620.971 |
Dual form | 1620.2.e.a.971.19 |
$q$-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 \(\left(\mathbb{Z}/1620\mathbb{Z}\right)^\times\).
\(n\) | \(811\) | \(1297\) | \(1541\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.531562 | + | 1.31051i | −0.375871 | + | 0.926672i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.43488 | − | 1.39324i | −0.717442 | − | 0.696618i | ||||
\(5\) | 1.00000i | 0.447214i | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 1.38206i | − | 0.522371i | −0.965289 | − | 0.261185i | \(-0.915887\pi\) | ||
0.965289 | − | 0.261185i | \(-0.0841134\pi\) | |||||||
\(8\) | 2.58858 | − | 1.13984i | 0.915202 | − | 0.402995i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.31051 | − | 0.531562i | −0.414420 | − | 0.168095i | ||||
\(11\) | −6.29235 | −1.89721 | −0.948607 | − | 0.316457i | \(-0.897507\pi\) | ||||
−0.948607 | + | 0.316457i | \(0.897507\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.01098 | 1.38979 | 0.694897 | − | 0.719109i | \(-0.255450\pi\) | ||||
0.694897 | + | 0.719109i | \(0.255450\pi\) | |||||||
\(14\) | 1.81121 | + | 0.734652i | 0.484066 | + | 0.196344i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.117787 | + | 3.99827i | 0.0294467 | + | 0.999566i | ||||
\(17\) | 1.58487i | 0.384388i | 0.981357 | + | 0.192194i | \(0.0615604\pi\) | ||||
−0.981357 | + | 0.192194i | \(0.938440\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 0.313862i | − | 0.0720048i | −0.999352 | − | 0.0360024i | \(-0.988538\pi\) | ||
0.999352 | − | 0.0360024i | \(-0.0114624\pi\) | |||||||
\(20\) | 1.39324 | − | 1.43488i | 0.311537 | − | 0.320850i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.34477 | − | 8.24620i | 0.713107 | − | 1.75810i | ||||
\(23\) | 0.478525 | 0.0997793 | 0.0498896 | − | 0.998755i | \(-0.484113\pi\) | ||||
0.0498896 | + | 0.998755i | \(0.484113\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −2.66364 | + | 6.56695i | −0.522383 | + | 1.28788i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.92554 | + | 1.98310i | −0.363893 | + | 0.374771i | ||||
\(29\) | − | 1.71350i | − | 0.318190i | −0.987263 | − | 0.159095i | \(-0.949142\pi\) | ||
0.987263 | − | 0.159095i | \(-0.0508576\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 9.47957i | − | 1.70258i | −0.524695 | − | 0.851290i | \(-0.675821\pi\) | ||
0.524695 | − | 0.851290i | \(-0.324179\pi\) | |||||||
\(32\) | −5.30239 | − | 1.97096i | −0.937338 | − | 0.348420i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.07700 | − | 0.842458i | −0.356202 | − | 0.144480i | ||||
\(35\) | 1.38206 | 0.233611 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 8.55290 | 1.40609 | 0.703044 | − | 0.711146i | \(-0.251824\pi\) | ||||
0.703044 | + | 0.711146i | \(0.251824\pi\) | |||||||
\(38\) | 0.411319 | + | 0.166837i | 0.0667248 | + | 0.0270645i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.13984 | + | 2.58858i | 0.180225 | + | 0.409291i | ||||
\(41\) | 7.54314i | 1.17804i | 0.808118 | + | 0.589020i | \(0.200486\pi\) | ||||
−0.808118 | + | 0.589020i | \(0.799514\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.02836i | 0.919316i | 0.888096 | + | 0.459658i | \(0.152028\pi\) | ||||
−0.888096 | + | 0.459658i | \(0.847972\pi\) | |||||||
\(44\) | 9.02879 | + | 8.76672i | 1.36114 | + | 1.32163i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.254365 | + | 0.627112i | −0.0375041 | + | 0.0924627i | ||||
\(47\) | 10.5045 | 1.53224 | 0.766120 | − | 0.642698i | \(-0.222185\pi\) | ||||
0.766120 | + | 0.642698i | \(0.222185\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.08990 | 0.727129 | ||||||||
\(50\) | 0.531562 | − | 1.31051i | 0.0751742 | − | 0.185334i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.19017 | − | 6.98147i | −0.997098 | − | 0.968156i | ||||
\(53\) | − | 8.86171i | − | 1.21725i | −0.793458 | − | 0.608625i | \(-0.791722\pi\) | ||
0.793458 | − | 0.608625i | \(-0.208278\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 6.29235i | − | 0.848460i | ||||||
\(56\) | −1.57533 | − | 3.57758i | −0.210513 | − | 0.478075i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.24557 | + | 0.910833i | 0.294858 | + | 0.119598i | ||||
\(59\) | 11.9151 | 1.55122 | 0.775609 | − | 0.631213i | \(-0.217443\pi\) | ||||
0.775609 | + | 0.631213i | \(0.217443\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.02092 | −0.642863 | −0.321432 | − | 0.946933i | \(-0.604164\pi\) | ||||
−0.321432 | + | 0.946933i | \(0.604164\pi\) | |||||||
\(62\) | 12.4231 | + | 5.03898i | 1.57773 | + | 0.639950i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 5.40152 | − | 5.90115i | 0.675190 | − | 0.737644i | ||||
\(65\) | 5.01098i | 0.621535i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 3.38716i | − | 0.413807i | −0.978361 | − | 0.206904i | \(-0.933661\pi\) | ||
0.978361 | − | 0.206904i | \(-0.0663386\pi\) | |||||||
\(68\) | 2.20810 | − | 2.27411i | 0.267772 | − | 0.275777i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.734652 | + | 1.81121i | −0.0878077 | + | 0.216481i | ||||
\(71\) | 14.1414 | 1.67827 | 0.839136 | − | 0.543921i | \(-0.183061\pi\) | ||||
0.839136 | + | 0.543921i | \(0.183061\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.55479 | −0.533098 | −0.266549 | − | 0.963821i | \(-0.585883\pi\) | ||||
−0.266549 | + | 0.963821i | \(0.585883\pi\) | |||||||
\(74\) | −4.54639 | + | 11.2087i | −0.528507 | + | 1.30298i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.437283 | + | 0.450355i | −0.0501598 | + | 0.0516593i | ||||
\(77\) | 8.69642i | 0.991049i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 2.85998i | 0.321773i | 0.986973 | + | 0.160886i | \(0.0514352\pi\) | ||||
−0.986973 | + | 0.160886i | \(0.948565\pi\) | |||||||
\(80\) | −3.99827 | + | 0.117787i | −0.447020 | + | 0.0131689i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.88537 | − | 4.00964i | −1.09166 | − | 0.442791i | ||||
\(83\) | −0.983654 | −0.107970 | −0.0539850 | − | 0.998542i | \(-0.517192\pi\) | ||||
−0.0539850 | + | 0.998542i | \(0.517192\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.58487 | −0.171904 | ||||||||
\(86\) | −7.90023 | − | 3.20444i | −0.851904 | − | 0.345544i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −16.2883 | + | 7.17229i | −1.73633 | + | 0.764568i | ||||
\(89\) | − | 2.64810i | − | 0.280699i | −0.990102 | − | 0.140349i | \(-0.955177\pi\) | ||
0.990102 | − | 0.140349i | \(-0.0448225\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | − | 6.92549i | − | 0.725988i | ||||||
\(92\) | −0.686628 | − | 0.666698i | −0.0715859 | − | 0.0695080i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −5.58379 | + | 13.7663i | −0.575924 | + | 1.41988i | ||||
\(95\) | 0.313862 | 0.0322015 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.1449 | 1.03006 | 0.515029 | − | 0.857173i | \(-0.327781\pi\) | ||||
0.515029 | + | 0.857173i | \(0.327781\pi\) | |||||||
\(98\) | −2.70560 | + | 6.67038i | −0.273306 | + | 0.673810i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.43488 | + | 1.39324i | 0.143488 | + | 0.139324i | ||||
\(101\) | 2.52291i | 0.251039i | 0.992091 | + | 0.125519i | \(0.0400597\pi\) | ||||
−0.992091 | + | 0.125519i | \(0.959940\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 8.01903i | − | 0.790138i | −0.918651 | − | 0.395069i | \(-0.870721\pi\) | ||
0.918651 | − | 0.395069i | \(-0.129279\pi\) | |||||||
\(104\) | 12.9713 | − | 5.71173i | 1.27194 | − | 0.560081i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 11.6134 | + | 4.71054i | 1.12799 | + | 0.457529i | ||||
\(107\) | −7.02474 | −0.679107 | −0.339554 | − | 0.940587i | \(-0.610276\pi\) | ||||
−0.339554 | + | 0.940587i | \(0.610276\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 7.64623 | 0.732376 | 0.366188 | − | 0.930541i | \(-0.380663\pi\) | ||||
0.366188 | + | 0.930541i | \(0.380663\pi\) | |||||||
\(110\) | 8.24620 | + | 3.34477i | 0.786244 | + | 0.318911i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5.52586 | − | 0.162789i | 0.522144 | − | 0.0153821i | ||||
\(113\) | 11.4061i | 1.07300i | 0.843901 | + | 0.536498i | \(0.180253\pi\) | ||||
−0.843901 | + | 0.536498i | \(0.819747\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.478525i | 0.0446227i | ||||||||
\(116\) | −2.38732 | + | 2.45868i | −0.221657 | + | 0.228283i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.33363 | + | 15.6149i | −0.583058 | + | 1.43747i | ||||
\(119\) | 2.19040 | 0.200793 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 28.5936 | 2.59942 | ||||||||
\(122\) | 2.66893 | − | 6.57998i | 0.241633 | − | 0.595723i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −13.2073 | + | 13.6021i | −1.18605 | + | 1.22150i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 0.958173i | − | 0.0850241i | −0.999096 | − | 0.0425121i | \(-0.986464\pi\) | ||
0.999096 | − | 0.0425121i | \(-0.0135361\pi\) | |||||||
\(128\) | 4.86229 | + | 10.2156i | 0.429770 | + | 0.902938i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.56695 | − | 2.66364i | −0.575959 | − | 0.233617i | ||||
\(131\) | 7.55194 | 0.659816 | 0.329908 | − | 0.944013i | \(-0.392982\pi\) | ||||
0.329908 | + | 0.944013i | \(0.392982\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.433777 | −0.0376132 | ||||||||
\(134\) | 4.43891 | + | 1.80048i | 0.383464 | + | 0.155538i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 1.80651 | + | 4.10258i | 0.154907 | + | 0.351793i | ||||
\(137\) | − | 11.6458i | − | 0.994970i | −0.867473 | − | 0.497485i | \(-0.834257\pi\) | ||
0.867473 | − | 0.497485i | \(-0.165743\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.4737i | 1.39728i | 0.715472 | + | 0.698641i | \(0.246212\pi\) | ||||
−0.715472 | + | 0.698641i | \(0.753788\pi\) | |||||||
\(140\) | −1.98310 | − | 1.92554i | −0.167603 | − | 0.162738i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −7.51701 | + | 18.5324i | −0.630814 | + | 1.55521i | ||||
\(143\) | −31.5308 | −2.63674 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.71350 | 0.142299 | ||||||||
\(146\) | 2.42115 | − | 5.96911i | 0.200376 | − | 0.494007i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −12.2724 | − | 11.9162i | −1.00879 | − | 0.979506i | ||||
\(149\) | 16.8609i | 1.38130i | 0.723188 | + | 0.690651i | \(0.242676\pi\) | ||||
−0.723188 | + | 0.690651i | \(0.757324\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 9.10605i | − | 0.741040i | −0.928825 | − | 0.370520i | \(-0.879180\pi\) | ||
0.928825 | − | 0.370520i | \(-0.120820\pi\) | |||||||
\(152\) | −0.357753 | − | 0.812456i | −0.0290176 | − | 0.0658989i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −11.3968 | − | 4.62268i | −0.918378 | − | 0.372506i | ||||
\(155\) | 9.47957 | 0.761417 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.28391 | 0.102468 | 0.0512338 | − | 0.998687i | \(-0.483685\pi\) | ||||
0.0512338 | + | 0.998687i | \(0.483685\pi\) | |||||||
\(158\) | −3.74804 | − | 1.52025i | −0.298178 | − | 0.120945i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.97096 | − | 5.30239i | 0.155818 | − | 0.419190i | ||||
\(161\) | − | 0.661351i | − | 0.0521218i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 22.3454i | 1.75023i | 0.483917 | + | 0.875114i | \(0.339214\pi\) | ||||
−0.483917 | + | 0.875114i | \(0.660786\pi\) | |||||||
\(164\) | 10.5094 | − | 10.8235i | 0.820644 | − | 0.845176i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.522873 | − | 1.28909i | 0.0405828 | − | 0.100053i | ||||
\(167\) | −3.00412 | −0.232466 | −0.116233 | − | 0.993222i | \(-0.537082\pi\) | ||||
−0.116233 | + | 0.993222i | \(0.537082\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.1099 | 0.931530 | ||||||||
\(170\) | 0.842458 | − | 2.07700i | 0.0646136 | − | 0.159298i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.39892 | − | 8.64999i | 0.640412 | − | 0.659556i | ||||
\(173\) | 16.4723i | 1.25237i | 0.779675 | + | 0.626184i | \(0.215384\pi\) | ||||
−0.779675 | + | 0.626184i | \(0.784616\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.38206i | 0.104474i | ||||||||
\(176\) | −0.741154 | − | 25.1585i | −0.0558666 | − | 1.89639i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 3.47037 | + | 1.40763i | 0.260115 | + | 0.105506i | ||||
\(179\) | 3.45279 | 0.258073 | 0.129037 | − | 0.991640i | \(-0.458811\pi\) | ||||
0.129037 | + | 0.991640i | \(0.458811\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.2016 | 0.906935 | 0.453468 | − | 0.891273i | \(-0.350187\pi\) | ||||
0.453468 | + | 0.891273i | \(0.350187\pi\) | |||||||
\(182\) | 9.07594 | + | 3.68132i | 0.672753 | + | 0.272878i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.23870 | − | 0.545443i | 0.0913182 | − | 0.0402106i | ||||
\(185\) | 8.55290i | 0.628822i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − | 9.97258i | − | 0.729267i | ||||||
\(188\) | −15.0728 | − | 14.6353i | −1.09929 | − | 1.06739i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.166837 | + | 0.411319i | −0.0121036 | + | 0.0298402i | ||||
\(191\) | 5.33067 | 0.385714 | 0.192857 | − | 0.981227i | \(-0.438225\pi\) | ||||
0.192857 | + | 0.981227i | \(0.438225\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.46422 | −0.537287 | −0.268643 | − | 0.963240i | \(-0.586575\pi\) | ||||
−0.268643 | + | 0.963240i | \(0.586575\pi\) | |||||||
\(194\) | −5.39263 | + | 13.2950i | −0.387168 | + | 0.954525i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.30342 | − | 7.09143i | −0.521673 | − | 0.506531i | ||||
\(197\) | − | 21.2872i | − | 1.51665i | −0.651877 | − | 0.758324i | \(-0.726018\pi\) | ||
0.651877 | − | 0.758324i | \(-0.273982\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 18.0533i | − | 1.27976i | −0.768474 | − | 0.639881i | \(-0.778984\pi\) | ||
0.768474 | − | 0.639881i | \(-0.221016\pi\) | |||||||
\(200\) | −2.58858 | + | 1.13984i | −0.183040 | + | 0.0805990i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.30630 | − | 1.34108i | −0.232631 | − | 0.0943581i | ||||
\(203\) | −2.36817 | −0.166213 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −7.54314 | −0.526836 | ||||||||
\(206\) | 10.5090 | + | 4.26261i | 0.732199 | + | 0.296990i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.590226 | + | 20.0352i | 0.0409248 | + | 1.38919i | ||||
\(209\) | 1.97493i | 0.136608i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − | 14.3992i | − | 0.991283i | −0.868527 | − | 0.495642i | \(-0.834933\pi\) | ||
0.868527 | − | 0.495642i | \(-0.165067\pi\) | |||||||
\(212\) | −12.3465 | + | 12.7155i | −0.847958 | + | 0.873306i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 3.73408 | − | 9.20601i | 0.255257 | − | 0.629310i | ||||
\(215\) | −6.02836 | −0.411130 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.1014 | −0.889379 | ||||||||
\(218\) | −4.06444 | + | 10.0205i | −0.275279 | + | 0.678673i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.76672 | + | 9.02879i | −0.591052 | + | 0.608721i | ||||
\(221\) | 7.94177i | 0.534221i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.8905i | 0.997142i | 0.866849 | + | 0.498571i | \(0.166142\pi\) | ||||
−0.866849 | + | 0.498571i | \(0.833858\pi\) | |||||||
\(224\) | −2.72400 | + | 7.32823i | −0.182005 | + | 0.489638i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −14.9478 | − | 6.06305i | −0.994316 | − | 0.403308i | ||||
\(227\) | −24.2588 | −1.61011 | −0.805057 | − | 0.593197i | \(-0.797866\pi\) | ||||
−0.805057 | + | 0.593197i | \(0.797866\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.7620 | −1.57024 | −0.785119 | − | 0.619345i | \(-0.787398\pi\) | ||||
−0.785119 | + | 0.619345i | \(0.787398\pi\) | |||||||
\(230\) | −0.627112 | − | 0.254365i | −0.0413506 | − | 0.0167724i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.95313 | − | 4.43555i | −0.128229 | − | 0.291208i | ||||
\(233\) | − | 26.3838i | − | 1.72846i | −0.503096 | − | 0.864230i | \(-0.667806\pi\) | ||
0.503096 | − | 0.864230i | \(-0.332194\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.5045i | 0.685239i | ||||||||
\(236\) | −17.0968 | − | 16.6006i | −1.11291 | − | 1.08061i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.16433 | + | 2.87054i | −0.0754724 | + | 0.186070i | ||||
\(239\) | 3.68242 | 0.238196 | 0.119098 | − | 0.992883i | \(-0.462000\pi\) | ||||
0.119098 | + | 0.992883i | \(0.462000\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.575465 | −0.0370689 | −0.0185345 | − | 0.999828i | \(-0.505900\pi\) | ||||
−0.0185345 | + | 0.999828i | \(0.505900\pi\) | |||||||
\(242\) | −15.1993 | + | 37.4723i | −0.977046 | + | 2.40881i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 7.20444 | + | 6.99533i | 0.461217 | + | 0.447830i | ||||
\(245\) | 5.08990i | 0.325182i | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 1.57275i | − | 0.100072i | ||||||
\(248\) | −10.8052 | − | 24.5386i | −0.686132 | − | 1.55821i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.31051 | + | 0.531562i | 0.0828841 | + | 0.0336189i | ||||
\(251\) | −15.0618 | −0.950690 | −0.475345 | − | 0.879800i | \(-0.657677\pi\) | ||||
−0.475345 | + | 0.879800i | \(0.657677\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −3.01104 | −0.189303 | ||||||||
\(254\) | 1.25570 | + | 0.509328i | 0.0787895 | + | 0.0319581i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −15.9723 | + | 0.941884i | −0.998266 | + | 0.0588678i | ||||
\(257\) | − | 25.6283i | − | 1.59865i | −0.600897 | − | 0.799326i | \(-0.705190\pi\) | ||
0.600897 | − | 0.799326i | \(-0.294810\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − | 11.8206i | − | 0.734499i | ||||||
\(260\) | 6.98147 | − | 7.19017i | 0.432973 | − | 0.445916i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.01432 | + | 9.89691i | −0.248006 | + | 0.611433i | ||||
\(263\) | 4.25572 | 0.262419 | 0.131210 | − | 0.991355i | \(-0.458114\pi\) | ||||
0.131210 | + | 0.991355i | \(0.458114\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 8.86171 | 0.544370 | ||||||||
\(266\) | 0.230579 | − | 0.568469i | 0.0141377 | − | 0.0348551i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.71911 | + | 4.86018i | −0.288266 | + | 0.296883i | ||||
\(269\) | − | 11.9884i | − | 0.730945i | −0.930822 | − | 0.365473i | \(-0.880907\pi\) | ||
0.930822 | − | 0.365473i | \(-0.119093\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 26.4157i | 1.60464i | 0.596895 | + | 0.802319i | \(0.296401\pi\) | ||||
−0.596895 | + | 0.802319i | \(0.703599\pi\) | |||||||
\(272\) | −6.33675 | + | 0.186677i | −0.384222 | + | 0.0113190i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 15.2620 | + | 6.19047i | 0.922011 | + | 0.373980i | ||||
\(275\) | 6.29235 | 0.379443 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 30.1215 | 1.80982 | 0.904912 | − | 0.425598i | \(-0.139936\pi\) | ||||
0.904912 | + | 0.425598i | \(0.139936\pi\) | |||||||
\(278\) | −21.5890 | − | 8.75680i | −1.29482 | − | 0.525198i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.57758 | − | 1.57533i | 0.213802 | − | 0.0941443i | ||||
\(281\) | − | 18.1201i | − | 1.08096i | −0.841358 | − | 0.540478i | \(-0.818243\pi\) | ||
0.841358 | − | 0.540478i | \(-0.181757\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.90711i | 0.470029i | 0.971992 | + | 0.235015i | \(0.0755138\pi\) | ||||
−0.971992 | + | 0.235015i | \(0.924486\pi\) | |||||||
\(284\) | −20.2912 | − | 19.7023i | −1.20406 | − | 1.16912i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 16.7606 | − | 41.3215i | 0.991073 | − | 2.44339i | ||||
\(287\) | 10.4251 | 0.615374 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.4882 | 0.852246 | ||||||||
\(290\) | −0.910833 | + | 2.24557i | −0.0534860 | + | 0.131864i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 6.53560 | + | 6.34590i | 0.382467 | + | 0.371366i | ||||
\(293\) | − | 2.53942i | − | 0.148355i | −0.997245 | − | 0.0741773i | \(-0.976367\pi\) | ||
0.997245 | − | 0.0741773i | \(-0.0236331\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.9151i | 0.693726i | ||||||||
\(296\) | 22.1399 | − | 9.74896i | 1.28685 | − | 0.566647i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −22.0965 | − | 8.96263i | −1.28001 | − | 0.519191i | ||||
\(299\) | 2.39788 | 0.138673 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 8.33157 | 0.480224 | ||||||||
\(302\) | 11.9336 | + | 4.84043i | 0.686701 | + | 0.278535i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.25490 | − | 0.0369687i | 0.0719736 | − | 0.00212030i | ||||
\(305\) | − | 5.02092i | − | 0.287497i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 19.0006i | − | 1.08442i | −0.840242 | − | 0.542212i | \(-0.817587\pi\) | ||
0.840242 | − | 0.542212i | \(-0.182413\pi\) | |||||||
\(308\) | 12.1162 | − | 12.4784i | 0.690383 | − | 0.711021i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −5.03898 | + | 12.4231i | −0.286195 | + | 0.705584i | ||||
\(311\) | 4.78947 | 0.271586 | 0.135793 | − | 0.990737i | \(-0.456642\pi\) | ||||
0.135793 | + | 0.990737i | \(0.456642\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −4.16798 | −0.235588 | −0.117794 | − | 0.993038i | \(-0.537582\pi\) | ||||
−0.117794 | + | 0.993038i | \(0.537582\pi\) | |||||||
\(314\) | −0.682480 | + | 1.68259i | −0.0385146 | + | 0.0949538i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.98462 | − | 4.10374i | 0.224153 | − | 0.230853i | ||||
\(317\) | − | 15.3540i | − | 0.862365i | −0.902265 | − | 0.431182i | \(-0.858097\pi\) | ||
0.902265 | − | 0.431182i | \(-0.141903\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 10.7820i | 0.603674i | ||||||||
\(320\) | 5.90115 | + | 5.40152i | 0.329884 | + | 0.301954i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.866709 | + | 0.351549i | 0.0482998 | + | 0.0195911i | ||||
\(323\) | 0.497431 | 0.0276778 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.01098 | −0.277959 | ||||||||
\(326\) | −29.2839 | − | 11.8780i | −1.62189 | − | 0.657859i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 8.59799 | + | 19.5260i | 0.474745 | + | 1.07814i | ||||
\(329\) | − | 14.5179i | − | 0.800397i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 18.4464i | 1.01391i | 0.861973 | + | 0.506954i | \(0.169229\pi\) | ||||
−0.861973 | + | 0.506954i | \(0.830771\pi\) | |||||||
\(332\) | 1.41143 | + | 1.37046i | 0.0774623 | + | 0.0752139i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.59687 | − | 3.93693i | 0.0873770 | − | 0.215419i | ||||
\(335\) | 3.38716 | 0.185060 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.65381 | −0.416930 | −0.208465 | − | 0.978030i | \(-0.566847\pi\) | ||||
−0.208465 | + | 0.978030i | \(0.566847\pi\) | |||||||
\(338\) | −6.43715 | + | 15.8702i | −0.350135 | + | 0.863223i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 2.27411 | + | 2.20810i | 0.123331 | + | 0.119751i | ||||
\(341\) | 59.6487i | 3.23016i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 16.7090i | − | 0.902202i | ||||||
\(344\) | 6.87138 | + | 15.6049i | 0.370480 | + | 0.841360i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −21.5872 | − | 8.75606i | −1.16053 | − | 0.470729i | ||||
\(347\) | −11.9646 | −0.642296 | −0.321148 | − | 0.947029i | \(-0.604069\pi\) | ||||
−0.321148 | + | 0.947029i | \(0.604069\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.4238 | 1.41443 | 0.707216 | − | 0.706998i | \(-0.249951\pi\) | ||||
0.707216 | + | 0.706998i | \(0.249951\pi\) | |||||||
\(350\) | −1.81121 | − | 0.734652i | −0.0968133 | − | 0.0392688i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 33.3645 | + | 12.4020i | 1.77833 | + | 0.661028i | ||||
\(353\) | − | 13.7478i | − | 0.731722i | −0.930669 | − | 0.365861i | \(-0.880775\pi\) | ||
0.930669 | − | 0.365861i | \(-0.119225\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 14.1414i | 0.750546i | ||||||||
\(356\) | −3.68943 | + | 3.79972i | −0.195540 | + | 0.201385i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.83537 | + | 4.52492i | −0.0970023 | + | 0.239150i | ||||
\(359\) | 20.2229 | 1.06733 | 0.533663 | − | 0.845697i | \(-0.320815\pi\) | ||||
0.533663 | + | 0.845697i | \(0.320815\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.9015 | 0.994815 | ||||||||
\(362\) | −6.48588 | + | 15.9903i | −0.340891 | + | 0.840432i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −9.64884 | + | 9.93727i | −0.505737 | + | 0.520855i | ||||
\(365\) | − | 4.55479i | − | 0.238409i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | − | 26.2087i | − | 1.36808i | −0.729443 | − | 0.684041i | \(-0.760221\pi\) | ||
0.729443 | − | 0.684041i | \(-0.239779\pi\) | |||||||
\(368\) | 0.0563638 | + | 1.91327i | 0.00293817 | + | 0.0997360i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −11.2087 | − | 4.54639i | −0.582711 | − | 0.236356i | ||||
\(371\) | −12.2474 | −0.635856 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.4399 | −1.11012 | −0.555058 | − | 0.831811i | \(-0.687304\pi\) | ||||
−0.555058 | + | 0.831811i | \(0.687304\pi\) | |||||||
\(374\) | 13.0692 | + | 5.30104i | 0.675791 | + | 0.274110i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 27.1918 | − | 11.9735i | 1.40231 | − | 0.617485i | ||||
\(377\) | − | 8.58633i | − | 0.442219i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 17.9636i | − | 0.922728i | −0.887211 | − | 0.461364i | \(-0.847360\pi\) | ||
0.887211 | − | 0.461364i | \(-0.152640\pi\) | |||||||
\(380\) | −0.450355 | − | 0.437283i | −0.0231027 | − | 0.0224322i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −2.83358 | + | 6.98591i | −0.144979 | + | 0.357430i | ||||
\(383\) | −5.43719 | −0.277827 | −0.138914 | − | 0.990304i | \(-0.544361\pi\) | ||||
−0.138914 | + | 0.990304i | \(0.544361\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.69642 | −0.443211 | ||||||||
\(386\) | 3.96770 | − | 9.78196i | 0.201950 | − | 0.497889i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −14.5567 | − | 14.1342i | −0.739006 | − | 0.717556i | ||||
\(389\) | − | 2.72940i | − | 0.138386i | −0.997603 | − | 0.0691930i | \(-0.977958\pi\) | ||
0.997603 | − | 0.0691930i | \(-0.0220424\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.758401i | 0.0383540i | ||||||||
\(392\) | 13.1756 | − | 5.80169i | 0.665470 | − | 0.293029i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 27.8971 | + | 11.3154i | 1.40544 | + | 0.570064i | ||||
\(395\) | −2.85998 | −0.143901 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.21742 | 0.362232 | 0.181116 | − | 0.983462i | \(-0.442029\pi\) | ||||
0.181116 | + | 0.983462i | \(0.442029\pi\) | |||||||
\(398\) | 23.6590 | + | 9.59642i | 1.18592 | + | 0.481025i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.117787 | − | 3.99827i | −0.00588933 | − | 0.199913i | ||||
\(401\) | 16.0399i | 0.800995i | 0.916298 | + | 0.400498i | \(0.131163\pi\) | ||||
−0.916298 | + | 0.400498i | \(0.868837\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − | 47.5019i | − | 2.36624i | ||||||
\(404\) | 3.51501 | − | 3.62008i | 0.174878 | − | 0.180106i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.25883 | − | 3.10352i | 0.0624747 | − | 0.154025i | ||||
\(407\) | −53.8178 | −2.66765 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −12.1350 | −0.600035 | −0.300017 | − | 0.953934i | \(-0.596992\pi\) | ||||
−0.300017 | + | 0.953934i | \(0.596992\pi\) | |||||||
\(410\) | 4.00964 | − | 9.88537i | 0.198022 | − | 0.488204i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.1724 | + | 11.5064i | −0.550424 | + | 0.566878i | ||||
\(413\) | − | 16.4675i | − | 0.810311i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 0.983654i | − | 0.0482857i | ||||||
\(416\) | −26.5701 | − | 9.87645i | −1.30271 | − | 0.484233i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.58816 | − | 1.04979i | −0.126591 | − | 0.0513471i | ||||
\(419\) | −34.5176 | −1.68630 | −0.843148 | − | 0.537682i | \(-0.819300\pi\) | ||||
−0.843148 | + | 0.537682i | \(0.819300\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.6082 | −1.29681 | −0.648403 | − | 0.761297i | \(-0.724563\pi\) | ||||
−0.648403 | + | 0.761297i | \(0.724563\pi\) | |||||||
\(422\) | 18.8704 | + | 7.65407i | 0.918595 | + | 0.372595i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −10.1010 | − | 22.9393i | −0.490546 | − | 1.11403i | ||||
\(425\) | − | 1.58487i | − | 0.0768777i | ||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 6.93923i | 0.335813i | ||||||||
\(428\) | 10.0797 | + | 9.78712i | 0.487220 | + | 0.473078i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.20444 | − | 7.90023i | 0.154532 | − | 0.380983i | ||||
\(431\) | 13.2011 | 0.635875 | 0.317937 | − | 0.948112i | \(-0.397010\pi\) | ||||
0.317937 | + | 0.948112i | \(0.397010\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −28.5327 | −1.37119 | −0.685597 | − | 0.727981i | \(-0.740459\pi\) | ||||
−0.685597 | + | 0.727981i | \(0.740459\pi\) | |||||||
\(434\) | 6.96418 | − | 17.1695i | 0.334291 | − | 0.824162i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −10.9715 | − | 10.6530i | −0.525438 | − | 0.510186i | ||||
\(437\) | − | 0.150190i | − | 0.00718458i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 36.4715i | − | 1.74069i | −0.492442 | − | 0.870345i | \(-0.663896\pi\) | ||
0.492442 | − | 0.870345i | \(-0.336104\pi\) | |||||||
\(440\) | −7.17229 | − | 16.2883i | −0.341925 | − | 0.776512i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.4078 | − | 4.22154i | −0.495048 | − | 0.200798i | ||||
\(443\) | 34.9502 | 1.66053 | 0.830267 | − | 0.557366i | \(-0.188188\pi\) | ||||
0.830267 | + | 0.557366i | \(0.188188\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.64810 | 0.125532 | ||||||||
\(446\) | −19.5142 | − | 7.91522i | −0.924024 | − | 0.374797i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.15577 | − | 7.46524i | −0.385324 | − | 0.352699i | ||||
\(449\) | 7.71112i | 0.363910i | 0.983307 | + | 0.181955i | \(0.0582426\pi\) | ||||
−0.983307 | + | 0.181955i | \(0.941757\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 47.4640i | − | 2.23499i | ||||||
\(452\) | 15.8914 | − | 16.3665i | 0.747469 | − | 0.769813i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 12.8951 | − | 31.7915i | 0.605195 | − | 1.49205i | ||||
\(455\) | 6.92549 | 0.324672 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.1392 | 0.661404 | 0.330702 | − | 0.943735i | \(-0.392715\pi\) | ||||
0.330702 | + | 0.943735i | \(0.392715\pi\) | |||||||
\(458\) | 12.6310 | − | 31.1404i | 0.590207 | − | 1.45510i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.666698 | − | 0.686628i | 0.0310849 | − | 0.0320142i | ||||
\(461\) | 9.80062i | 0.456460i | 0.973607 | + | 0.228230i | \(0.0732939\pi\) | ||||
−0.973607 | + | 0.228230i | \(0.926706\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 26.0533i | 1.21080i | 0.795921 | + | 0.605401i | \(0.206987\pi\) | ||||
−0.795921 | + | 0.605401i | \(0.793013\pi\) | |||||||
\(464\) | 6.85105 | − | 0.201828i | 0.318052 | − | 0.00936963i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 34.5763 | + | 14.0246i | 1.60172 | + | 0.649678i | ||||
\(467\) | 14.5432 | 0.672978 | 0.336489 | − | 0.941687i | \(-0.390761\pi\) | ||||
0.336489 | + | 0.941687i | \(0.390761\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4.68127 | −0.216161 | ||||||||
\(470\) | −13.7663 | − | 5.58379i | −0.634991 | − | 0.257561i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 30.8433 | − | 13.5814i | 1.41968 | − | 0.625134i | ||||
\(473\) | − | 37.9325i | − | 1.74414i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.313862i | 0.0144010i | ||||||||
\(476\) | −3.14297 | − | 3.05174i | −0.144058 | − | 0.139876i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.95743 | + | 4.82586i | −0.0895309 | + | 0.220729i | ||||
\(479\) | −13.4038 | −0.612435 | −0.306218 | − | 0.951962i | \(-0.599064\pi\) | ||||
−0.306218 | + | 0.951962i | \(0.599064\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 42.8584 | 1.95417 | ||||||||
\(482\) | 0.305895 | − | 0.754154i | 0.0139331 | − | 0.0343508i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −41.0285 | − | 39.8377i | −1.86493 | − | 1.81080i | ||||
\(485\) | 10.1449i | 0.460656i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 35.6444i | 1.61520i | 0.589730 | + | 0.807600i | \(0.299234\pi\) | ||||
−0.589730 | + | 0.807600i | \(0.700766\pi\) | |||||||
\(488\) | −12.9971 | + | 5.72306i | −0.588350 | + | 0.259071i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −6.67038 | − | 2.70560i | −0.301337 | − | 0.122226i | ||||
\(491\) | −31.5459 | −1.42365 | −0.711823 | − | 0.702359i | \(-0.752130\pi\) | ||||
−0.711823 | + | 0.702359i | \(0.752130\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.71569 | 0.122309 | ||||||||
\(494\) | 2.06111 | + | 0.836015i | 0.0927338 | + | 0.0376141i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 37.9018 | − | 1.11657i | 1.70184 | − | 0.0501353i | ||||
\(497\) | − | 19.5443i | − | 0.876681i | ||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − | 25.1993i | − | 1.12808i | −0.825748 | − | 0.564039i | \(-0.809247\pi\) | ||
0.825748 | − | 0.564039i | \(-0.190753\pi\) | |||||||
\(500\) | −1.39324 | + | 1.43488i | −0.0623074 | + | 0.0641700i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.00625 | − | 19.7386i | 0.357337 | − | 0.880978i | ||||
\(503\) | −12.8113 | −0.571227 | −0.285613 | − | 0.958345i | \(-0.592197\pi\) | ||||
−0.285613 | + | 0.958345i | \(0.592197\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.52291 | −0.112268 | ||||||||
\(506\) | 1.60055 | − | 3.94601i | 0.0711533 | − | 0.175421i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.33496 | + | 1.37487i | −0.0592293 | + | 0.0609999i | ||||
\(509\) | − | 16.6082i | − | 0.736147i | −0.929797 | − | 0.368073i | \(-0.880018\pi\) | ||
0.929797 | − | 0.368073i | \(-0.119982\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 6.29501i | 0.278475i | ||||||||
\(512\) | 7.25589 | − | 21.4325i | 0.320668 | − | 0.947192i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 33.5863 | + | 13.6230i | 1.48143 | + | 0.600887i | ||||
\(515\) | 8.01903 | 0.353361 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −66.0980 | −2.90699 | ||||||||
\(518\) | 15.4911 | + | 6.28340i | 0.680640 | + | 0.276077i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 5.71173 | + | 12.9713i | 0.250476 | + | 0.568830i | ||||
\(521\) | 4.43554i | 0.194324i | 0.995269 | + | 0.0971622i | \(0.0309766\pi\) | ||||
−0.995269 | + | 0.0971622i | \(0.969023\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 39.0882i | 1.70921i | 0.519281 | + | 0.854604i | \(0.326200\pi\) | ||||
−0.519281 | + | 0.854604i | \(0.673800\pi\) | |||||||
\(524\) | −10.8362 | − | 10.5216i | −0.473380 | − | 0.459640i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.26218 | + | 5.57717i | −0.0986357 | + | 0.243176i | ||||
\(527\) | 15.0239 | 0.654452 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.7710 | −0.990044 | ||||||||
\(530\) | −4.71054 | + | 11.6134i | −0.204613 | + | 0.504453i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.622419 | + | 0.604353i | 0.0269853 | + | 0.0262020i | ||||
\(533\) | 37.7985i | 1.63723i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | − | 7.02474i | − | 0.303706i | ||||||
\(536\) | −3.86083 | − | 8.76794i | −0.166762 | − | 0.378717i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 15.7109 | + | 6.37257i | 0.677346 | + | 0.274741i | ||||
\(539\) | −32.0274 | −1.37952 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −22.5150 | −0.967995 | −0.483998 | − | 0.875069i | \(-0.660816\pi\) | ||||
−0.483998 | + | 0.875069i | \(0.660816\pi\) | |||||||
\(542\) | −34.6181 | − | 14.0416i | −1.48697 | − | 0.603137i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.12373 | − | 8.40362i | 0.133929 | − | 0.360302i | ||||
\(545\) | 7.64623i | 0.327529i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 10.4335i | 0.446103i | 0.974807 | + | 0.223052i | \(0.0716019\pi\) | ||||
−0.974807 | + | 0.223052i | \(0.928398\pi\) | |||||||
\(548\) | −16.2254 | + | 16.7104i | −0.693114 | + | 0.713833i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.34477 | + | 8.24620i | −0.142621 | + | 0.351619i | ||||
\(551\) | −0.537803 | −0.0229112 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 3.95267 | 0.168085 | ||||||||
\(554\) | −16.0114 | + | 39.4746i | −0.680260 | + | 1.67711i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 22.9518 | − | 23.6379i | 0.973373 | − | 1.00247i | ||||
\(557\) | 21.4327i | 0.908133i | 0.890968 | + | 0.454066i | \(0.150027\pi\) | ||||
−0.890968 | + | 0.454066i | \(0.849973\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.2080i | 1.27766i | ||||||||
\(560\) | 0.162789 | + | 5.52586i | 0.00687907 | + | 0.233510i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 23.7467 | + | 9.63197i | 1.00169 | + | 0.406300i | ||||
\(563\) | 9.05262 | 0.381522 | 0.190761 | − | 0.981636i | \(-0.438904\pi\) | ||||
0.190761 | + | 0.981636i | \(0.438904\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −11.4061 | −0.479859 | ||||||||
\(566\) | −10.3624 | − | 4.20312i | −0.435563 | − | 0.176670i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 36.6061 | − | 16.1189i | 1.53596 | − | 0.676336i | ||||
\(569\) | − | 36.7379i | − | 1.54013i | −0.637965 | − | 0.770065i | \(-0.720224\pi\) | ||
0.637965 | − | 0.770065i | \(-0.279776\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 17.2985i | − | 0.723919i | −0.932194 | − | 0.361960i | \(-0.882108\pi\) | ||
0.932194 | − | 0.361960i | \(-0.117892\pi\) | |||||||
\(572\) | 45.2431 | + | 43.9298i | 1.89171 | + | 1.83680i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.54158 | + | 13.6622i | −0.231301 | + | 0.570250i | ||||
\(575\) | −0.478525 | −0.0199559 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −1.95759 | −0.0814954 | −0.0407477 | − | 0.999169i | \(-0.512974\pi\) | ||||
−0.0407477 | + | 0.999169i | \(0.512974\pi\) | |||||||
\(578\) | −7.70136 | + | 18.9869i | −0.320334 | + | 0.789752i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −2.45868 | − | 2.38732i | −0.102091 | − | 0.0991279i | ||||
\(581\) | 1.35947i | 0.0564004i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 55.7609i | 2.30938i | ||||||||
\(584\) | −11.7904 | + | 5.19174i | −0.487892 | + | 0.214836i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.32794 | + | 1.34986i | 0.137476 | + | 0.0557621i | ||||
\(587\) | 19.6489 | 0.810995 | 0.405498 | − | 0.914096i | \(-0.367098\pi\) | ||||
0.405498 | + | 0.914096i | \(0.367098\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.97527 | −0.122594 | ||||||||
\(590\) | −15.6149 | − | 6.33363i | −0.642857 | − | 0.260751i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.00742 | + | 34.1968i | 0.0414046 | + | 1.40548i | ||||
\(593\) | 8.36132i | 0.343358i | 0.985153 | + | 0.171679i | \(0.0549192\pi\) | ||||
−0.985153 | + | 0.171679i | \(0.945081\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.19040i | 0.0897975i | ||||||||
\(596\) | 23.4913 | − | 24.1935i | 0.962240 | − | 0.991004i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.27462 | + | 3.14245i | −0.0521230 | + | 0.128504i | ||||
\(599\) | −2.89792 | −0.118406 | −0.0592028 | − | 0.998246i | \(-0.518856\pi\) | ||||
−0.0592028 | + | 0.998246i | \(0.518856\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.72085 | −0.192567 | −0.0962837 | − | 0.995354i | \(-0.530696\pi\) | ||||
−0.0962837 | + | 0.995354i | \(0.530696\pi\) | |||||||
\(602\) | −4.42874 | + | 10.9186i | −0.180502 | + | 0.445010i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −12.6869 | + | 13.0661i | −0.516222 | + | 0.531653i | ||||
\(605\) | 28.5936i | 1.16250i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 30.2927i | 1.22954i | 0.788705 | + | 0.614772i | \(0.210752\pi\) | ||||
−0.788705 | + | 0.614772i | \(0.789248\pi\) | |||||||
\(608\) | −0.618610 | + | 1.66422i | −0.0250879 | + | 0.0674928i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 6.57998 | + | 2.66893i | 0.266416 | + | 0.108062i | ||||
\(611\) | 52.6378 | 2.12950 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 26.0291 | 1.05130 | 0.525652 | − | 0.850700i | \(-0.323821\pi\) | ||||
0.525652 | + | 0.850700i | \(0.323821\pi\) | |||||||
\(614\) | 24.9006 | + | 10.1000i | 1.00490 | + | 0.407603i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 9.91255 | + | 22.5114i | 0.399388 | + | 0.907010i | ||||
\(617\) | − | 40.3932i | − | 1.62617i | −0.582147 | − | 0.813084i | \(-0.697787\pi\) | ||
0.582147 | − | 0.813084i | \(-0.302213\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 32.3572i | 1.30055i | 0.759700 | + | 0.650274i | \(0.225346\pi\) | ||||
−0.759700 | + | 0.650274i | \(0.774654\pi\) | |||||||
\(620\) | −13.6021 | − | 13.2073i | −0.546273 | − | 0.530417i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −2.54590 | + | 6.27666i | −0.102081 | + | 0.251671i | ||||
\(623\) | −3.65985 | −0.146629 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 2.21554 | − | 5.46219i | 0.0885507 | − | 0.218313i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −1.84227 | − | 1.78880i | −0.0735146 | − | 0.0713807i | ||||
\(629\) | 13.5553i | 0.540484i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 16.1040i | − | 0.641090i | −0.947233 | − | 0.320545i | \(-0.896134\pi\) | ||
0.947233 | − | 0.320545i | \(-0.103866\pi\) | |||||||
\(632\) | 3.25992 | + | 7.40329i | 0.129673 | + | 0.294487i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 20.1216 | + | 8.16158i | 0.799129 | + | 0.324138i | ||||
\(635\) | 0.958173 | 0.0380239 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.5054 | 1.01056 | ||||||||
\(638\) | −14.1299 | − | 5.73128i | −0.559408 | − | 0.226904i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −10.2156 | + | 4.86229i | −0.403806 | + | 0.192199i | ||||
\(641\) | 41.3540i | 1.63339i | 0.577072 | + | 0.816693i | \(0.304195\pi\) | ||||
−0.577072 | + | 0.816693i | \(0.695805\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − | 19.3690i | − | 0.763838i | −0.924196 | − | 0.381919i | \(-0.875263\pi\) | ||
0.924196 | − | 0.381919i | \(-0.124737\pi\) | |||||||
\(644\) | −0.921418 | + | 0.948963i | −0.0363090 | + | 0.0373944i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.264415 | + | 0.651889i | −0.0104033 | + | 0.0256482i | ||||
\(647\) | −7.26461 | −0.285601 | −0.142801 | − | 0.989751i | \(-0.545611\pi\) | ||||
−0.142801 | + | 0.989751i | \(0.545611\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −74.9742 | −2.94299 | ||||||||
\(650\) | 2.66364 | − | 6.56695i | 0.104477 | − | 0.257577i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 31.1324 | − | 32.0631i | 1.21924 | − | 1.25569i | ||||
\(653\) | 22.6502i | 0.886371i | 0.896430 | + | 0.443185i | \(0.146152\pi\) | ||||
−0.896430 | + | 0.443185i | \(0.853848\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.55194i | 0.295079i | ||||||||
\(656\) | −30.1595 | + | 0.888481i | −1.17753 | + | 0.0346893i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 19.0259 | + | 7.71716i | 0.741706 | + | 0.300846i | ||||
\(659\) | 12.0174 | 0.468132 | 0.234066 | − | 0.972221i | \(-0.424797\pi\) | ||||
0.234066 | + | 0.972221i | \(0.424797\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 10.6253 | 0.413275 | 0.206638 | − | 0.978418i | \(-0.433748\pi\) | ||||
0.206638 | + | 0.978418i | \(0.433748\pi\) | |||||||
\(662\) | −24.1743 | − | 9.80542i | −0.939560 | − | 0.381099i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.54627 | + | 1.12121i | −0.0988144 | + | 0.0435114i | ||||
\(665\) | − | 0.433777i | − | 0.0168211i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 0.819954i | − | 0.0317488i | ||||||
\(668\) | 4.31056 | + | 4.18544i | 0.166781 | + | 0.161940i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.80048 | + | 4.43891i | −0.0695587 | + | 0.171490i | ||||
\(671\) | 31.5934 | 1.21965 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −33.1771 | −1.27888 | −0.639441 | − | 0.768840i | \(-0.720834\pi\) | ||||
−0.639441 | + | 0.768840i | \(0.720834\pi\) | |||||||
\(674\) | 4.06847 | − | 10.0304i | 0.156712 | − | 0.386357i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.3763 | − | 16.8719i | −0.668319 | − | 0.648920i | ||||
\(677\) | − | 10.4798i | − | 0.402770i | −0.979512 | − | 0.201385i | \(-0.935456\pi\) | ||
0.979512 | − | 0.201385i | \(-0.0645442\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 14.0209i | − | 0.538072i | ||||||
\(680\) | −4.10258 | + | 1.80651i | −0.157327 | + | 0.0692764i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −78.1704 | − | 31.7070i | −2.99330 | − | 1.21412i | ||||
\(683\) | 22.2498 | 0.851364 | 0.425682 | − | 0.904873i | \(-0.360034\pi\) | ||||
0.425682 | + | 0.904873i | \(0.360034\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.6458 | 0.444964 | ||||||||
\(686\) | 21.8974 | + | 8.88187i | 0.836045 | + | 0.339111i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −24.1030 | + | 0.710060i | −0.918917 | + | 0.0270708i | ||||
\(689\) | − | 44.4058i | − | 1.69173i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.3826i | 0.851473i | 0.904847 | + | 0.425736i | \(0.139985\pi\) | ||||
−0.904847 | + | 0.425736i | \(0.860015\pi\) | |||||||
\(692\) | 22.9498 | − | 23.6359i | 0.872422 | − | 0.898502i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6.35995 | − | 15.6798i | 0.241420 | − | 0.595198i | ||||
\(695\) | −16.4737 | −0.624884 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11.9549 | −0.452825 | ||||||||
\(698\) | −14.0459 | + | 34.6287i | −0.531644 | + | 1.31071i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.92554 | − | 1.98310i | 0.0727786 | − | 0.0749542i | ||||
\(701\) | 38.9534i | 1.47125i | 0.677389 | + | 0.735625i | \(0.263112\pi\) | ||||
−0.677389 | + | 0.735625i | \(0.736888\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 2.68443i | − | 0.101245i | ||||||
\(704\) | −33.9882 | + | 37.1321i | −1.28098 | + | 1.39947i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 18.0167 | + | 7.30781i | 0.678066 | + | 0.275033i | ||||
\(707\) | 3.48682 | 0.131135 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.6033 | 0.548440 | 0.274220 | − | 0.961667i | \(-0.411580\pi\) | ||||
0.274220 | + | 0.961667i | \(0.411580\pi\) | |||||||
\(710\) | −18.5324 | − | 7.51701i | −0.695510 | − | 0.282108i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −3.01842 | − | 6.85484i | −0.113120 | − | 0.256896i | ||||
\(713\) | − | 4.53621i | − | 0.169882i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | − | 31.5308i | − | 1.17919i | ||||||
\(716\) | −4.95435 | − | 4.81055i | −0.185153 | − | 0.179779i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −10.7497 | + | 26.5024i | −0.401177 | + | 0.989061i | ||||
\(719\) | −5.39169 | −0.201076 | −0.100538 | − | 0.994933i | \(-0.532056\pi\) | ||||
−0.100538 | + | 0.994933i | \(0.532056\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −11.0828 | −0.412745 | ||||||||
\(722\) | −10.0473 | + | 24.7706i | −0.373922 | + | 0.921868i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −17.5078 | − | 16.9997i | −0.650674 | − | 0.631787i | ||||
\(725\) | 1.71350i | 0.0636380i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 13.5884i | 0.503965i | 0.967732 | + | 0.251982i | \(0.0810825\pi\) | ||||
−0.967732 | + | 0.251982i | \(0.918918\pi\) | |||||||
\(728\) | −7.89397 | − | 17.9272i | −0.292570 | − | 0.664426i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.96911 | + | 2.42115i | 0.220927 | + | 0.0896108i | ||||
\(731\) | −9.55419 | −0.353374 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −39.4830 | −1.45834 | −0.729169 | − | 0.684334i | \(-0.760093\pi\) | ||||
−0.729169 | + | 0.684334i | \(0.760093\pi\) | |||||||
\(734\) | 34.3468 | + | 13.9315i | 1.26776 | + | 0.514222i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.53732 | − | 0.943155i | −0.0935269 | − | 0.0347651i | ||||
\(737\) | 21.3132i | 0.785081i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 43.4628i | 1.59881i | 0.600795 | + | 0.799403i | \(0.294851\pi\) | ||||
−0.600795 | + | 0.799403i | \(0.705149\pi\) | |||||||
\(740\) | 11.9162 | − | 12.2724i | 0.438048 | − | 0.451143i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.51027 | − | 16.0504i | 0.239000 | − | 0.589230i | ||||
\(743\) | −33.2807 | −1.22095 | −0.610476 | − | 0.792035i | \(-0.709022\pi\) | ||||
−0.610476 | + | 0.792035i | \(0.709022\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.8609 | −0.617737 | ||||||||
\(746\) | 11.3966 | − | 28.0973i | 0.417261 | − | 1.02871i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −13.8942 | + | 14.3095i | −0.508021 | + | 0.523207i | ||||
\(749\) | 9.70863i | 0.354746i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 18.1139i | − | 0.660984i | −0.943809 | − | 0.330492i | \(-0.892785\pi\) | ||
0.943809 | − | 0.330492i | \(-0.107215\pi\) | |||||||
\(752\) | 1.23729 | + | 41.9998i | 0.0451193 | + | 1.53158i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 11.2525 | + | 4.56417i | 0.409792 | + | 0.166217i | ||||
\(755\) | 9.10605 | 0.331403 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.70815 | 0.171121 | 0.0855603 | − | 0.996333i | \(-0.472732\pi\) | ||||
0.0855603 | + | 0.996333i | \(0.472732\pi\) | |||||||
\(758\) | 23.5415 | + | 9.54876i | 0.855066 | + | 0.346826i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.812456 | − | 0.357753i | 0.0294709 | − | 0.0129771i | ||||
\(761\) | − | 17.5411i | − | 0.635866i | −0.948113 | − | 0.317933i | \(-0.897011\pi\) | ||
0.948113 | − | 0.317933i | \(-0.102989\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 10.5676i | − | 0.382572i | ||||||
\(764\) | −7.64890 | − | 7.42688i | −0.276727 | − | 0.268695i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.89020 | − | 7.12550i | 0.104427 | − | 0.257455i | ||||
\(767\) | 59.7065 | 2.15588 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 31.2126 | 1.12555 | 0.562777 | − | 0.826609i | \(-0.309733\pi\) | ||||
0.562777 | + | 0.826609i | \(0.309733\pi\) | |||||||
\(770\) | 4.62268 | − | 11.3968i | 0.166590 | − | 0.410711i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 10.7103 | + | 10.3994i | 0.385472 | + | 0.374284i | ||||
\(773\) | 32.5292i | 1.16999i | 0.811035 | + | 0.584997i | \(0.198904\pi\) | ||||
−0.811035 | + | 0.584997i | \(0.801096\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.47957i | 0.340516i | ||||||||
\(776\) | 26.2609 | − | 11.5636i | 0.942710 | − | 0.415108i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.57691 | + | 1.45084i | 0.128238 | + | 0.0520152i | ||||
\(779\) | 2.36750 | 0.0848245 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −88.9824 | −3.18404 | ||||||||
\(782\) | −0.993894 | − | 0.403137i | −0.0355416 | − | 0.0144162i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.599522 | + | 20.3508i | 0.0214115 | + | 0.726813i | ||||
\(785\) | 1.28391i | 0.0458249i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 47.5820i | 1.69612i | 0.529903 | + | 0.848058i | \(0.322228\pi\) | ||||
−0.529903 | + | 0.848058i | \(0.677772\pi\) | |||||||
\(788\) | −29.6581 | + | 30.5446i | −1.05652 | + | 1.08811i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.52025 | − | 3.74804i | 0.0540882 | − | 0.133349i | ||||
\(791\) | 15.7640 | 0.560502 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −25.1597 | −0.893448 | ||||||||
\(794\) | −3.83650 | + | 9.45851i | −0.136152 | + | 0.335670i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −25.1525 | + | 25.9043i | −0.891505 | + | 0.918155i | ||||
\(797\) | 3.12482i | 0.110687i | 0.998467 | + | 0.0553434i | \(0.0176254\pi\) | ||||
−0.998467 | + | 0.0553434i | \(0.982375\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 16.6483i | 0.588975i | ||||||||
\(800\) | 5.30239 | + | 1.97096i | 0.187468 | + | 0.0696841i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −21.0205 | − | 8.52620i | −0.742260 | − | 0.301071i | ||||
\(803\) | 28.6603 | 1.01140 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.661351 | 0.0233096 | ||||||||
\(806\) | 62.2518 | + | 25.2502i | 2.19273 | + | 0.889400i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 2.87572 | + | 6.53075i | 0.101167 | + | 0.229751i | ||||
\(809\) | − | 16.8154i | − | 0.591197i | −0.955312 | − | 0.295599i | \(-0.904481\pi\) | ||
0.955312 | − | 0.295599i | \(-0.0955191\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.22240i | 0.0780389i | 0.999238 | + | 0.0390194i | \(0.0124234\pi\) | ||||
−0.999238 | + | 0.0390194i | \(0.987577\pi\) | |||||||
\(812\) | 3.39805 | + | 3.29942i | 0.119248 | + | 0.115787i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 28.6075 | − | 70.5289i | 1.00269 | − | 2.47204i | ||||
\(815\) | −22.3454 | −0.782725 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.89207 | 0.0661951 | ||||||||
\(818\) | 6.45048 | − | 15.9030i | 0.225536 | − | 0.556035i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 10.8235 | + | 10.5094i | 0.377974 | + | 0.367003i | ||||
\(821\) | 7.36036i | 0.256878i | 0.991717 | + | 0.128439i | \(0.0409967\pi\) | ||||
−0.991717 | + | 0.128439i | \(0.959003\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 46.8300i | 1.63239i | 0.577775 | + | 0.816196i | \(0.303921\pi\) | ||||
−0.577775 | + | 0.816196i | \(0.696079\pi\) | |||||||
\(824\) | −9.14043 | − | 20.7579i | −0.318422 | − | 0.723136i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 21.5808 | + | 8.75348i | 0.750893 | + | 0.304572i | ||||
\(827\) | −41.4266 | −1.44054 | −0.720272 | − | 0.693692i | \(-0.755983\pi\) | ||||
−0.720272 | + | 0.693692i | \(0.755983\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 41.3350 | 1.43562 | 0.717812 | − | 0.696237i | \(-0.245144\pi\) | ||||
0.717812 | + | 0.696237i | \(0.245144\pi\) | |||||||
\(830\) | 1.28909 | + | 0.522873i | 0.0447450 | + | 0.0181492i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 27.0669 | − | 29.5705i | 0.938375 | − | 1.02517i | ||||
\(833\) | 8.06685i | 0.279500i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 3.00412i | − | 0.103962i | ||||||
\(836\) | 2.75154 | − | 2.83379i | 0.0951639 | − | 0.0980087i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 18.3482 | − | 45.2357i | 0.633829 | − | 1.56264i | ||||
\(839\) | −10.3285 | −0.356578 | −0.178289 | − | 0.983978i | \(-0.557056\pi\) | ||||
−0.178289 | + | 0.983978i | \(0.557056\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 26.0639 | 0.898755 | ||||||||
\(842\) | 14.1439 | − | 34.8704i | 0.487432 | − | 1.20171i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −20.0615 | + | 20.6612i | −0.690546 | + | 0.711189i | ||||
\(845\) | 12.1099i | 0.416593i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − | 39.5182i | − | 1.35786i | ||||||
\(848\) | 35.4315 | − | 1.04379i | 1.21672 | − | 0.0358439i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.07700 | + | 0.842458i | 0.0712404 | + | 0.0288961i | ||||
\(851\) | 4.09277 | 0.140298 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.04250 | −0.206891 | −0.103446 | − | 0.994635i | \(-0.532987\pi\) | ||||
−0.103446 | + | 0.994635i | \(0.532987\pi\) | |||||||
\(854\) | −9.09395 | − | 3.68863i | −0.311188 | − | 0.126222i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −18.1841 | + | 8.00710i | −0.621520 | + | 0.273677i | ||||
\(857\) | 11.1082i | 0.379448i | 0.981837 | + | 0.189724i | \(0.0607593\pi\) | ||||
−0.981837 | + | 0.189724i | \(0.939241\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 24.9763i | 0.852181i | 0.904681 | + | 0.426090i | \(0.140109\pi\) | ||||
−0.904681 | + | 0.426090i | \(0.859891\pi\) | |||||||
\(860\) | 8.64999 | + | 8.39892i | 0.294962 | + | 0.286401i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −7.01720 | + | 17.3002i | −0.239007 | + | 0.589247i | ||||
\(863\) | −2.80028 | −0.0953227 | −0.0476613 | − | 0.998864i | \(-0.515177\pi\) | ||||
−0.0476613 | + | 0.998864i | \(0.515177\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −16.4723 | −0.560076 | ||||||||
\(866\) | 15.1669 | − | 37.3924i | 0.515392 | − | 1.27065i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 18.7989 | + | 18.2533i | 0.638078 | + | 0.619557i | ||||
\(869\) | − | 17.9960i | − | 0.610471i | ||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 16.9730i | − | 0.575107i | ||||||
\(872\) | 19.7929 | − | 8.71550i | 0.670272 | − | 0.295144i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0.196826 | + | 0.0798355i | 0.00665775 | + | 0.00270048i | ||||
\(875\) | −1.38206 | −0.0467223 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 10.4748 | 0.353709 | 0.176854 | − | 0.984237i | \(-0.443408\pi\) | ||||
0.176854 | + | 0.984237i | \(0.443408\pi\) | |||||||
\(878\) | 47.7964 | + | 19.3869i | 1.61305 | + | 0.654275i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 25.1585 | − | 0.741154i | 0.848092 | − | 0.0249843i | ||||
\(881\) | 19.8836i | 0.669896i | 0.942237 | + | 0.334948i | \(0.108719\pi\) | ||||
−0.942237 | + | 0.334948i | \(0.891281\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 25.0647i | − | 0.843493i | −0.906714 | − | 0.421747i | \(-0.861417\pi\) | ||
0.906714 | − | 0.421747i | \(-0.138583\pi\) | |||||||
\(884\) | 11.0648 | − | 11.3955i | 0.372148 | − | 0.383273i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.5782 | + | 45.8027i | −0.624146 | + | 1.53877i | ||||
\(887\) | −26.9970 | −0.906471 | −0.453236 | − | 0.891391i | \(-0.649730\pi\) | ||||
−0.453236 | + | 0.891391i | \(0.649730\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.32426 | −0.0444141 | ||||||||
\(890\) | −1.40763 | + | 3.47037i | −0.0471839 | + | 0.116327i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 20.7460 | − | 21.3662i | 0.694627 | − | 0.715392i | ||||
\(893\) | − | 3.29696i | − | 0.110329i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 3.45279i | 0.115414i | ||||||||
\(896\) | 14.1186 | − | 6.72000i | 0.471669 | − | 0.224499i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −10.1055 | − | 4.09893i | −0.337225 | − | 0.136783i | ||||
\(899\) | −16.2433 | −0.541744 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14.0447 | 0.467897 | ||||||||
\(902\) | 62.2022 | + | 25.2301i | 2.07111 | + | 0.840069i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 13.0012 | + | 29.5257i | 0.432413 | + | 0.982009i | ||||
\(905\) | 12.2016i | 0.405594i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.52682i | 0.249924i | 0.992162 | + | 0.124962i | \(0.0398809\pi\) | ||||
−0.992162 | + | 0.124962i | \(0.960119\pi\) | |||||||
\(908\) | 34.8086 | + | 33.7983i | 1.15516 | + | 1.12163i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −3.68132 | + | 9.07594i | −0.122035 | + | 0.300864i | ||||
\(911\) | 23.2517 | 0.770363 | 0.385181 | − | 0.922841i | \(-0.374139\pi\) | ||||
0.385181 | + | 0.922841i | \(0.374139\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.18949 | 0.204842 | ||||||||
\(914\) | −7.51586 | + | 18.5296i | −0.248602 | + | 0.612905i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 34.0957 | + | 33.1061i | 1.12655 | + | 1.09386i | ||||
\(917\) | − | 10.4373i | − | 0.344669i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 5.42134i | 0.178833i | 0.995994 | + | 0.0894167i | \(0.0285003\pi\) | ||||
−0.995994 | + | 0.0894167i | \(0.971500\pi\) | |||||||
\(920\) | 0.545443 | + | 1.23870i | 0.0179827 | + | 0.0408387i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −12.8438 | − | 5.20963i | −0.422989 | − | 0.171570i | ||||
\(923\) | 70.8621 | 2.33245 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −8.55290 | −0.281218 | ||||||||
\(926\) | −34.1432 | − | 13.8490i | −1.12202 | − | 0.455105i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −3.37726 | + | 9.08566i | −0.110864 | + | 0.298252i | ||||
\(929\) | 8.19467i | 0.268859i | 0.990923 | + | 0.134429i | \(0.0429201\pi\) | ||||
−0.990923 | + | 0.134429i | \(0.957080\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − | 1.59752i | − | 0.0523567i | ||||||
\(932\) | −36.7589 | + | 37.8577i | −1.20408 | + | 1.24007i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −7.73059 | + | 19.0590i | −0.252953 | + | 0.623630i | ||||
\(935\) | 9.97258 | 0.326138 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −22.4473 | −0.733322 | −0.366661 | − | 0.930355i | \(-0.619499\pi\) | ||||
−0.366661 | + | 0.930355i | \(0.619499\pi\) | |||||||
\(938\) | 2.48838 | − | 6.13486i | 0.0812485 | − | 0.200310i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 14.6353 | − | 15.0728i | 0.477350 | − | 0.491619i | ||||
\(941\) | 53.0004i | 1.72777i | 0.503693 | + | 0.863883i | \(0.331974\pi\) | ||||
−0.503693 | + | 0.863883i | \(0.668026\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.60958i | 0.117544i | ||||||||
\(944\) | 1.40344 | + | 47.6399i | 0.0456782 | + | 1.55055i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 49.7110 | + | 20.1635i | 1.61624 | + | 0.655571i | ||||
\(947\) | 1.89511 | 0.0615829 | 0.0307914 | − | 0.999526i | \(-0.490197\pi\) | ||||
0.0307914 | + | 0.999526i | \(0.490197\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −22.8239 | −0.740897 | ||||||||
\(950\) | −0.411319 | − | 0.166837i | −0.0133450 | − | 0.00541290i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 5.67002 | − | 2.49671i | 0.183766 | − | 0.0809188i | ||||
\(953\) | − | 11.0618i | − | 0.358327i | −0.983819 | − | 0.179163i | \(-0.942661\pi\) | ||
0.983819 | − | 0.179163i | \(-0.0573391\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 5.33067i | 0.172496i | ||||||||
\(956\) | −5.28385 | − | 5.13048i | −0.170892 | − | 0.165932i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 7.12495 | − | 17.5658i | 0.230197 | − | 0.567527i | ||||
\(959\) | −16.0953 | −0.519743 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −58.8622 | −1.89878 | ||||||||
\(962\) | −22.7819 | + | 56.1664i | −0.734517 | + | 1.81088i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.825726 | + | 0.801758i | 0.0265948 | + | 0.0258229i | ||||
\(965\) | − | 7.46422i | − | 0.240282i | ||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 32.6739i | − | 1.05072i | −0.850880 | − | 0.525360i | \(-0.823930\pi\) | ||
0.850880 | − | 0.525360i | \(-0.176070\pi\) | |||||||
\(968\) | 74.0169 | − | 32.5922i | 2.37899 | − | 1.04755i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −13.2950 | − | 5.39263i | −0.426877 | − | 0.173147i | ||||
\(971\) | 39.2972 | 1.26111 | 0.630553 | − | 0.776146i | \(-0.282828\pi\) | ||||
0.630553 | + | 0.776146i | \(0.282828\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 22.7677 | 0.729900 | ||||||||
\(974\) | −46.7124 | − | 18.9472i | −1.49676 | − | 0.607107i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.591397 | − | 20.0750i | −0.0189302 | − | 0.642584i | ||||
\(977\) | − | 27.8905i | − | 0.892295i | −0.894960 | − | 0.446147i | \(-0.852796\pi\) | ||
0.894960 | − | 0.446147i | \(-0.147204\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 16.6628i | 0.532545i | ||||||||
\(980\) | 7.09143 | − | 7.30342i | 0.226528 | − | 0.233299i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 16.7686 | − | 41.3413i | 0.535107 | − | 1.31925i | ||||
\(983\) | −3.33160 | −0.106262 | −0.0531308 | − | 0.998588i | \(-0.516920\pi\) | ||||
−0.0531308 | + | 0.998588i | \(0.516920\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 21.2872 | 0.678266 | ||||||||
\(986\) | −1.44356 | + | 3.55894i | −0.0459722 | + | 0.113340i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −2.19122 | + | 2.25672i | −0.0697119 | + | 0.0717958i | ||||
\(989\) | 2.88472i | 0.0917287i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.9832i | 0.507725i | 0.967240 | + | 0.253862i | \(0.0817010\pi\) | ||||
−0.967240 | + | 0.253862i | \(0.918299\pi\) | |||||||
\(992\) | −18.6839 | + | 50.2643i | −0.593214 | + | 1.59589i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 25.6130 | + | 10.3890i | 0.812396 | + | 0.329519i | ||||
\(995\) | 18.0533 | 0.572327 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −3.91305 | −0.123927 | −0.0619637 | − | 0.998078i | \(-0.519736\pi\) | ||||
−0.0619637 | + | 0.998078i | \(0.519736\pi\) | |||||||
\(998\) | 33.0240 | + | 13.3950i | 1.04536 | + | 0.424011i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1620.2.e.a.971.20 | yes | 48 | |
3.2 | odd | 2 | inner | 1620.2.e.a.971.29 | yes | 48 | |
4.3 | odd | 2 | inner | 1620.2.e.a.971.30 | yes | 48 | |
12.11 | even | 2 | inner | 1620.2.e.a.971.19 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
1620.2.e.a.971.19 | ✓ | 48 | 12.11 | even | 2 | inner | |
1620.2.e.a.971.20 | yes | 48 | 1.1 | even | 1 | trivial | |
1620.2.e.a.971.29 | yes | 48 | 3.2 | odd | 2 | inner | |
1620.2.e.a.971.30 | yes | 48 | 4.3 | odd | 2 | inner |