Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [640,2,Mod(223,640)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(640, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("640.223");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 640 = 2^{7} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 640.s (of order \(4\), 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: | \(5.11042572936\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(9\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 2 x^{16} - 4 x^{15} - 5 x^{14} - 14 x^{13} - 10 x^{12} + 6 x^{11} + 37 x^{10} + 70 x^{9} + 74 x^{8} + 24 x^{7} - 80 x^{6} - 224 x^{5} - 160 x^{4} - 256 x^{3} + 256 x^{2} + 512 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | no (minimal twist has level 80) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 287.6 | ||
Root | \(-1.08900 + 0.902261i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 640.287 |
Dual form | 640.2.s.d.223.6 |
$q$-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 \(\left(\mathbb{Z}/640\mathbb{Z}\right)^\times\).
\(n\) | \(257\) | \(261\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.496487 | 0.286647 | 0.143324 | − | 0.989676i | \(-0.454221\pi\) | ||||
0.143324 | + | 0.989676i | \(0.454221\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.00635 | + | 0.987189i | 0.897269 | + | 0.441484i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.55426 | + | 1.55426i | 0.587453 | + | 0.587453i | 0.936941 | − | 0.349488i | \(-0.113644\pi\) |
−0.349488 | + | 0.936941i | \(0.613644\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.75350 | −0.917833 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 4.19607 | − | 4.19607i | 1.26516 | − | 1.26516i | 0.316604 | − | 0.948558i | \(-0.397457\pi\) |
0.948558 | − | 0.316604i | \(-0.102543\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.09530i | 1.41318i | 0.707622 | + | 0.706591i | \(0.249768\pi\) | ||||
−0.707622 | + | 0.706591i | \(0.750232\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.996130 | + | 0.490127i | 0.257200 | + | 0.126550i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.213542 | + | 0.213542i | 0.0517916 | + | 0.0517916i | 0.732528 | − | 0.680737i | \(-0.238340\pi\) |
−0.680737 | + | 0.732528i | \(0.738340\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.844754 | + | 0.844754i | −0.193800 | + | 0.193800i | −0.797336 | − | 0.603536i | \(-0.793758\pi\) |
0.603536 | + | 0.797336i | \(0.293758\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.771668 | + | 0.771668i | 0.168392 | + | 0.168392i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 1.70744 | − | 1.70744i | 0.356027 | − | 0.356027i | −0.506319 | − | 0.862346i | \(-0.668994\pi\) |
0.862346 | + | 0.506319i | \(0.168994\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 3.05092 | + | 3.96130i | 0.610183 | + | 0.792260i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.85654 | −0.549741 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.24750 | − | 2.24750i | −0.417350 | − | 0.417350i | 0.466939 | − | 0.884289i | \(-0.345357\pi\) |
−0.884289 | + | 0.466939i | \(0.845357\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.818209i | 0.146955i | 0.997297 | + | 0.0734773i | \(0.0234097\pi\) | ||||
−0.997297 | + | 0.0734773i | \(0.976590\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.08329 | − | 2.08329i | 0.362655 | − | 0.362655i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1.58404 | + | 4.65273i | 0.267752 | + | 0.786455i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.12639i | 0.842774i | 0.906881 | + | 0.421387i | \(0.138457\pi\) | ||||
−0.906881 | + | 0.421387i | \(0.861543\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.52975i | 0.405084i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.34727i | 0.522756i | 0.965237 | + | 0.261378i | \(0.0841769\pi\) | ||||
−0.965237 | + | 0.261378i | \(0.915823\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 4.49131i | − | 0.684919i | −0.939533 | − | 0.342460i | \(-0.888740\pi\) | ||
0.939533 | − | 0.342460i | \(-0.111260\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −5.52450 | − | 2.71822i | −0.823543 | − | 0.405209i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 4.29355 | − | 4.29355i | 0.626278 | − | 0.626278i | −0.320851 | − | 0.947130i | \(-0.603969\pi\) |
0.947130 | + | 0.320851i | \(0.103969\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 2.16858i | − | 0.309797i | ||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.106021 | + | 0.106021i | 0.0148459 | + | 0.0148459i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 1.00653 | 0.138258 | 0.0691291 | − | 0.997608i | \(-0.477978\pi\) | ||||
0.0691291 | + | 0.997608i | \(0.477978\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.5611 | − | 4.27649i | 1.69374 | − | 0.576642i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −0.419410 | + | 0.419410i | −0.0555521 | + | 0.0555521i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.65005 | + | 7.65005i | 0.995952 | + | 0.995952i | 0.999992 | − | 0.00404030i | \(-0.00128607\pi\) |
−0.00404030 | + | 0.999992i | \(0.501286\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.90291 | − | 1.90291i | 0.243643 | − | 0.243643i | −0.574712 | − | 0.818355i | \(-0.694886\pi\) |
0.818355 | + | 0.574712i | \(0.194886\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −4.27964 | − | 4.27964i | −0.539184 | − | 0.539184i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.03002 | + | 10.2230i | −0.623897 | + | 1.26800i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 11.0221i | − | 1.34656i | −0.739387 | − | 0.673280i | \(-0.764885\pi\) | ||
0.739387 | − | 0.673280i | \(-0.235115\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.847724 | − | 0.847724i | 0.102054 | − | 0.102054i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.5331 | −1.25005 | −0.625027 | − | 0.780604i | \(-0.714912\pi\) | ||||
−0.625027 | + | 0.780604i | \(0.714912\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.70854 | + | 2.70854i | 0.317010 | + | 0.317010i | 0.847618 | − | 0.530607i | \(-0.178036\pi\) |
−0.530607 | + | 0.847618i | \(0.678036\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.51474 | + | 1.96674i | 0.174907 | + | 0.227099i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 13.0435 | 1.48645 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −8.32010 | −0.936085 | −0.468042 | − | 0.883706i | \(-0.655041\pi\) | ||||
−0.468042 | + | 0.883706i | \(0.655041\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 6.84226 | 0.760252 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.17237 | 1.00680 | 0.503399 | − | 0.864054i | \(-0.332083\pi\) | ||||
0.503399 | + | 0.864054i | \(0.332083\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.217635 | + | 0.639248i | 0.0236058 | + | 0.0693362i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −1.11585 | − | 1.11585i | −0.119632 | − | 0.119632i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.25101 | −0.450606 | −0.225303 | − | 0.974289i | \(-0.572337\pi\) | ||||
−0.225303 | + | 0.974289i | \(0.572337\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −7.91940 | + | 7.91940i | −0.830178 | + | 0.830178i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.406230i | 0.0421241i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.52881 | + | 0.860944i | −0.259450 | + | 0.0883310i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −7.16000 | − | 7.16000i | −0.726987 | − | 0.726987i | 0.243031 | − | 0.970019i | \(-0.421858\pi\) |
−0.970019 | + | 0.243031i | \(0.921858\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −11.5539 | + | 11.5539i | −1.16121 | + | 1.16121i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −8.38846 | − | 8.38846i | −0.834683 | − | 0.834683i | 0.153470 | − | 0.988153i | \(-0.450955\pi\) |
−0.988153 | + | 0.153470i | \(0.950955\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.16478 | + | 5.16478i | −0.508901 | + | 0.508901i | −0.914189 | − | 0.405288i | \(-0.867171\pi\) |
0.405288 | + | 0.914189i | \(0.367171\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0.786458 | + | 2.31002i | 0.0767504 | + | 0.225435i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.97973 | −0.868103 | −0.434052 | − | 0.900888i | \(-0.642916\pi\) | ||||
−0.434052 | + | 0.900888i | \(0.642916\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.9081 | − | 10.9081i | −1.04481 | − | 1.04481i | −0.998948 | − | 0.0458592i | \(-0.985397\pi\) |
−0.0458592 | − | 0.998948i | \(-0.514603\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.54519i | 0.241579i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −4.29684 | + | 4.29684i | −0.404212 | + | 0.404212i | −0.879715 | − | 0.475502i | \(-0.842266\pi\) |
0.475502 | + | 0.879715i | \(0.342266\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.11131 | − | 1.74017i | 0.476632 | − | 0.162271i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − | 14.0299i | − | 1.29707i | ||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.663798i | 0.0608503i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | − | 24.2140i | − | 2.20127i | ||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.66188i | 0.149846i | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 2.21067 | + | 10.9596i | 0.197728 | + | 0.980257i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.759686 | − | 0.759686i | 0.0674112 | − | 0.0674112i | −0.672597 | − | 0.740009i | \(-0.734821\pi\) |
0.740009 | + | 0.672597i | \(0.234821\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | − | 2.22988i | − | 0.196330i | ||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.59995 | − | 7.59995i | −0.664010 | − | 0.664010i | 0.292312 | − | 0.956323i | \(-0.405575\pi\) |
−0.956323 | + | 0.292312i | \(0.905575\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −2.62593 | −0.227697 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −5.73123 | − | 2.81994i | −0.493266 | − | 0.242702i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.7789 | − | 12.7789i | 1.09178 | − | 1.09178i | 0.0964376 | − | 0.995339i | \(-0.469255\pi\) |
0.995339 | − | 0.0964376i | \(-0.0307448\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.74227 | − | 7.74227i | −0.656691 | − | 0.656691i | 0.297905 | − | 0.954596i | \(-0.403712\pi\) |
−0.954596 | + | 0.297905i | \(0.903712\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.13169 | − | 2.13169i | 0.179521 | − | 0.179521i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 21.3802 | + | 21.3802i | 1.78790 | + | 1.78790i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.29057 | − | 6.72798i | −0.190222 | − | 0.558728i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | − | 1.07667i | − | 0.0888024i | ||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −9.57165 | + | 9.57165i | −0.784140 | + | 0.784140i | −0.980527 | − | 0.196386i | \(-0.937079\pi\) |
0.196386 | + | 0.980527i | \(0.437079\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −9.68791 | −0.788391 | −0.394195 | − | 0.919027i | \(-0.628977\pi\) | ||||
−0.394195 | + | 0.919027i | \(0.628977\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.587989 | − | 0.587989i | −0.0475361 | − | 0.0475361i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.807726 | + | 1.64162i | −0.0648781 | + | 0.131858i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.97637 | 0.796201 | 0.398101 | − | 0.917342i | \(-0.369669\pi\) | ||||
0.398101 | + | 0.917342i | \(0.369669\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.499732 | 0.0396313 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.30761 | 0.418298 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −9.48267 | −0.742740 | −0.371370 | − | 0.928485i | \(-0.621112\pi\) | ||||
−0.371370 | + | 0.928485i | \(0.621112\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.23643 | − | 2.12322i | 0.485506 | − | 0.165293i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −9.43528 | − | 9.43528i | −0.730124 | − | 0.730124i | 0.240520 | − | 0.970644i | \(-0.422682\pi\) |
−0.970644 | + | 0.240520i | \(0.922682\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.9621 | −0.997082 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.32603 | − | 2.32603i | 0.177876 | − | 0.177876i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 8.94716i | 0.680240i | 0.940382 | + | 0.340120i | \(0.110468\pi\) | ||||
−0.940382 | + | 0.340120i | \(0.889532\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.41497 | + | 10.8988i | −0.106962 | + | 0.823870i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 3.79815 | + | 3.79815i | 0.285487 | + | 0.285487i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.02430 | − | 3.02430i | 0.226047 | − | 0.226047i | −0.584992 | − | 0.811039i | \(-0.698902\pi\) |
0.811039 | + | 0.584992i | \(0.198902\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.54845 | + | 1.54845i | 0.115095 | + | 0.115095i | 0.762309 | − | 0.647213i | \(-0.224066\pi\) |
−0.647213 | + | 0.762309i | \(0.724066\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.944773 | − | 0.944773i | 0.0698396 | − | 0.0698396i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.06072 | + | 10.2854i | −0.372071 | + | 0.756195i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.79208 | 0.131050 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −4.43979 | − | 4.43979i | −0.322947 | − | 0.322947i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | − | 20.1005i | − | 1.45442i | −0.686415 | − | 0.727210i | \(-0.740817\pi\) | ||
0.686415 | − | 0.727210i | \(-0.259183\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.82483 | − | 3.82483i | 0.275317 | − | 0.275317i | −0.555919 | − | 0.831236i | \(-0.687634\pi\) |
0.831236 | + | 0.555919i | \(0.187634\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −2.49734 | + | 5.07558i | −0.178838 | + | 0.363470i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.11758i | 0.0796246i | 0.999207 | + | 0.0398123i | \(0.0126760\pi\) | ||||
−0.999207 | + | 0.0398123i | \(0.987324\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 25.5830i | 1.81353i | 0.421635 | + | 0.906766i | \(0.361456\pi\) | ||||
−0.421635 | + | 0.906766i | \(0.638544\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | − | 5.47232i | − | 0.385988i | ||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − | 6.98637i | − | 0.490347i | ||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.30439 | + | 6.71581i | −0.230788 | + | 0.469053i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −4.70145 | + | 4.70145i | −0.326773 | + | 0.326773i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 7.08929i | 0.490376i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −0.411613 | − | 0.411613i | −0.0283366 | − | 0.0283366i | 0.692797 | − | 0.721133i | \(-0.256378\pi\) |
−0.721133 | + | 0.692797i | \(0.756378\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.22957 | −0.358324 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 4.43378 | − | 9.01117i | 0.302381 | − | 0.614557i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.27171 | + | 1.27171i | −0.0863290 | + | 0.0863290i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.34475 | + | 1.34475i | 0.0908701 | + | 0.0908701i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.08806 | + | 1.08806i | −0.0731909 | + | 0.0731909i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.7466 | − | 16.7466i | −1.12143 | − | 1.12143i | −0.991526 | − | 0.129908i | \(-0.958532\pi\) |
−0.129908 | − | 0.991526i | \(-0.541468\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.40070 | − | 10.9074i | −0.560047 | − | 0.727163i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | − | 13.7807i | − | 0.914659i | −0.889297 | − | 0.457330i | \(-0.848806\pi\) | ||
0.889297 | − | 0.457330i | \(-0.151194\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 7.90971 | − | 7.90971i | 0.522688 | − | 0.522688i | −0.395694 | − | 0.918382i | \(-0.629496\pi\) |
0.918382 | + | 0.395694i | \(0.129496\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.47594 | 0.426086 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.67997 | − | 1.67997i | −0.110058 | − | 0.110058i | 0.649933 | − | 0.759991i | \(-0.274797\pi\) |
−0.759991 | + | 0.649933i | \(0.774797\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.8529 | − | 4.37583i | 0.838432 | − | 0.285448i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −4.13083 | −0.268326 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.7685 | 0.761241 | 0.380620 | − | 0.924731i | \(-0.375710\pi\) | ||||
0.380620 | + | 0.924731i | \(0.375710\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −13.2730 | −0.854991 | −0.427495 | − | 0.904018i | \(-0.640604\pi\) | ||||
−0.427495 | + | 0.904018i | \(0.640604\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 11.9667 | 0.767665 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 2.14080 | − | 4.35094i | 0.136770 | − | 0.277971i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −4.30427 | − | 4.30427i | −0.273874 | − | 0.273874i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.55396 | 0.288596 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.3795 | + | 10.3795i | −0.655149 | + | 0.655149i | −0.954228 | − | 0.299079i | \(-0.903321\pi\) |
0.299079 | + | 0.954228i | \(0.403321\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 14.3291i | − | 0.900863i | ||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.108053 | + | 0.317378i | 0.00676654 | + | 0.0198750i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 20.4353 | + | 20.4353i | 1.27472 | + | 1.27472i | 0.943582 | + | 0.331140i | \(0.107433\pi\) |
0.331140 | + | 0.943582i | \(0.392567\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.96772 | + | 7.96772i | −0.495090 | + | 0.495090i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.18848 | + | 6.18848i | 0.383058 | + | 0.383058i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 14.0611 | − | 14.0611i | 0.867047 | − | 0.867047i | −0.125098 | − | 0.992144i | \(-0.539924\pi\) |
0.992144 | + | 0.125098i | \(0.0399244\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.01946 | + | 0.993639i | 0.124055 | + | 0.0610388i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −2.11057 | −0.129165 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 6.61443 | + | 6.61443i | 0.403289 | + | 0.403289i | 0.879390 | − | 0.476101i | \(-0.157950\pi\) |
−0.476101 | + | 0.879390i | \(0.657950\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 10.6219i | 0.645237i | 0.946529 | + | 0.322619i | \(0.104563\pi\) | ||||
−0.946529 | + | 0.322619i | \(0.895437\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −3.93188 | + | 3.93188i | −0.237968 | + | 0.237968i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 29.4237 | + | 3.82004i | 1.77432 | + | 0.230357i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 8.28511i | 0.497804i | 0.968529 | + | 0.248902i | \(0.0800697\pi\) | ||||
−0.968529 | + | 0.248902i | \(0.919930\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − | 2.25294i | − | 0.134880i | ||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 21.0176i | 1.25380i | 0.779098 | + | 0.626902i | \(0.215677\pi\) | ||||
−0.779098 | + | 0.626902i | \(0.784323\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.4748i | 0.860436i | 0.902725 | + | 0.430218i | \(0.141563\pi\) | ||||
−0.902725 | + | 0.430218i | \(0.858437\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −1.25552 | + | 0.427448i | −0.0743706 | + | 0.0253198i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.20251 | + | 5.20251i | −0.307095 | + | 0.307095i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | − | 16.9088i | − | 0.994635i | ||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −3.55485 | − | 3.55485i | −0.208389 | − | 0.208389i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 11.9165 | 0.696171 | 0.348086 | − | 0.937463i | \(-0.386832\pi\) | ||||
0.348086 | + | 0.937463i | \(0.386832\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.79667 | + | 22.9008i | 0.453940 | + | 1.33333i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −11.9862 | + | 11.9862i | −0.695512 | + | 0.695512i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 8.69993 | + | 8.69993i | 0.503130 | + | 0.503130i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.98065 | − | 6.98065i | 0.402358 | − | 0.402358i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −4.16477 | − | 4.16477i | −0.239260 | − | 0.239260i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.69645 | − | 1.93938i | 0.326178 | − | 0.111049i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 25.4511i | 1.45257i | 0.687392 | + | 0.726287i | \(0.258755\pi\) | ||||
−0.687392 | + | 0.726287i | \(0.741245\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.56425 | + | 2.56425i | −0.145875 | + | 0.145875i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 21.4775 | 1.21788 | 0.608939 | − | 0.793217i | \(-0.291596\pi\) | ||||
0.608939 | + | 0.793217i | \(0.291596\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 18.7965 | + | 18.7965i | 1.06244 | + | 1.06244i | 0.997916 | + | 0.0645277i | \(0.0205541\pi\) |
0.0645277 | + | 0.997916i | \(0.479446\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −4.36167 | − | 12.8113i | −0.245752 | − | 0.721835i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −16.2531 | −0.912864 | −0.456432 | − | 0.889758i | \(-0.650873\pi\) | ||||
−0.456432 | + | 0.889758i | \(0.650873\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −18.8613 | −1.05603 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −4.45832 | −0.248839 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −0.360781 | −0.0200744 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −20.1840 | + | 15.5453i | −1.11961 | + | 0.862300i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −5.41574 | − | 5.41574i | −0.299491 | − | 0.299491i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 13.3465 | 0.735818 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.71558 | − | 8.71558i | 0.479052 | − | 0.479052i | −0.425777 | − | 0.904828i | \(-0.639999\pi\) |
0.904828 | + | 0.425777i | \(0.139999\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | − | 14.1155i | − | 0.773526i | ||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 10.8809 | − | 22.1142i | 0.594485 | − | 1.20823i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.0406874 | + | 0.0406874i | 0.00221638 | + | 0.00221638i | 0.708214 | − | 0.705998i | \(-0.249501\pi\) |
−0.705998 | + | 0.708214i | \(0.749501\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −2.13333 | + | 2.13333i | −0.115866 | + | 0.115866i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 3.43326 | + | 3.43326i | 0.185921 | + | 0.185921i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 14.2503 | − | 14.2503i | 0.769445 | − | 0.769445i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.53770 | − | 0.863971i | 0.136625 | − | 0.0465146i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 35.7094 | 1.91698 | 0.958491 | − | 0.285124i | \(-0.0920348\pi\) | ||||
0.958491 | + | 0.285124i | \(0.0920348\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.274452 | + | 0.274452i | 0.0146911 | + | 0.0146911i | 0.714414 | − | 0.699723i | \(-0.246693\pi\) |
−0.699723 | + | 0.714414i | \(0.746693\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 14.5549i | − | 0.776884i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −15.6215 | + | 15.6215i | −0.831446 | + | 0.831446i | −0.987715 | − | 0.156268i | \(-0.950054\pi\) |
0.156268 | + | 0.987715i | \(0.450054\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −21.1332 | − | 10.3982i | −1.12163 | − | 0.551879i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0.329567i | 0.0174426i | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 0.768787i | − | 0.0405750i | −0.999794 | − | 0.0202875i | \(-0.993542\pi\) | ||
0.999794 | − | 0.0202875i | \(-0.00645816\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 17.5728i | 0.924883i | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | − | 12.0219i | − | 0.630988i | ||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 2.76045 | + | 8.10812i | 0.144488 | + | 0.424399i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 13.7849 | − | 13.7849i | 0.719568 | − | 0.719568i | −0.248949 | − | 0.968517i | \(-0.580085\pi\) |
0.968517 | + | 0.248949i | \(0.0800852\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | − | 9.21671i | − | 0.479803i | ||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.56441 | + | 1.56441i | 0.0812202 | + | 0.0812202i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.4003 | 1.10806 | 0.554031 | − | 0.832496i | \(-0.313089\pi\) | ||||
0.554031 | + | 0.832496i | \(0.313089\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 1.09757 | + | 5.44131i | 0.0566782 | + | 0.280988i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 11.4517 | − | 11.4517i | 0.589791 | − | 0.589791i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −11.3922 | − | 11.3922i | −0.585180 | − | 0.585180i | 0.351142 | − | 0.936322i | \(-0.385793\pi\) |
−0.936322 | + | 0.351142i | \(0.885793\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0.377174 | − | 0.377174i | 0.0193232 | − | 0.0193232i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.42635 | + | 4.42635i | 0.226176 | + | 0.226176i | 0.811093 | − | 0.584917i | \(-0.198873\pi\) |
−0.584917 | + | 0.811093i | \(0.698873\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 26.1699 | + | 12.8764i | 1.33374 | + | 0.656243i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 12.3668i | 0.628642i | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −12.3502 | + | 12.3502i | −0.626180 | + | 0.626180i | −0.947105 | − | 0.320924i | \(-0.896006\pi\) |
0.320924 | + | 0.947105i | \(0.396006\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.729222 | 0.0368784 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.77328 | − | 3.77328i | −0.190337 | − | 0.190337i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −16.6931 | − | 8.21351i | −0.839920 | − | 0.413267i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.9832 | −0.902551 | −0.451275 | − | 0.892385i | \(-0.649031\pi\) | ||||
−0.451275 | + | 0.892385i | \(0.649031\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.30374 | −0.0652686 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 9.06570 | 0.452720 | 0.226360 | − | 0.974044i | \(-0.427317\pi\) | ||||
0.226360 | + | 0.974044i | \(0.427317\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.16902 | −0.207674 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 13.7280 | + | 6.75461i | 0.682150 | + | 0.335639i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 21.5107 | + | 21.5107i | 1.06625 | + | 1.06625i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −30.0616 | −1.48645 | −0.743226 | − | 0.669040i | \(-0.766705\pi\) | ||||
−0.743226 | + | 0.669040i | \(0.766705\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 6.34457 | − | 6.34457i | 0.312955 | − | 0.312955i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 23.7803i | 1.17015i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 18.4030 | + | 9.05486i | 0.903369 | + | 0.444485i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.84394 | − | 3.84394i | −0.188239 | − | 0.188239i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 15.3986 | − | 15.3986i | 0.752271 | − | 0.752271i | −0.222631 | − | 0.974903i | \(-0.571465\pi\) |
0.974903 | + | 0.222631i | \(0.0714646\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.86468 | + | 3.86468i | 0.188353 | + | 0.188353i | 0.794984 | − | 0.606631i | \(-0.207479\pi\) |
−0.606631 | + | 0.794984i | \(0.707479\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −11.8223 | + | 11.8223i | −0.574819 | + | 0.574819i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.194406 | + | 1.49740i | −0.00943006 | + | 0.0726348i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 5.91523 | 0.286258 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 10.6150 | + | 10.6150i | 0.512497 | + | 0.512497i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.2692i | 1.31351i | 0.754103 | + | 0.656756i | \(0.228072\pi\) | ||||
−0.754103 | + | 0.656756i | \(0.771928\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 19.1435 | − | 19.1435i | 0.919978 | − | 0.919978i | −0.0770497 | − | 0.997027i | \(-0.524550\pi\) |
0.997027 | + | 0.0770497i | \(0.0245500\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −1.13724 | − | 3.34036i | −0.0545265 | − | 0.160158i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.88474i | 0.137996i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 30.1995i | − | 1.44134i | −0.693276 | − | 0.720672i | \(-0.743833\pi\) | ||
0.693276 | − | 0.720672i | \(-0.256167\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.97118i | 0.284342i | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 27.7051i | 1.31631i | 0.752884 | + | 0.658153i | \(0.228662\pi\) | ||||
−0.752884 | + | 0.658153i | \(0.771338\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.52903 | − | 4.19655i | −0.404315 | − | 0.198935i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −4.75220 | + | 4.75220i | −0.224772 | + | 0.224772i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 9.78315i | 0.461695i | 0.972990 | + | 0.230848i | \(0.0741499\pi\) | ||||
−0.972990 | + | 0.230848i | \(0.925850\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.0454 | + | 14.0454i | 0.661371 | + | 0.661371i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −4.80992 | −0.225990 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −23.7071 | + | 8.07118i | −1.11140 | + | 0.378383i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.557108 | + | 0.557108i | −0.0260604 | + | 0.0260604i | −0.720017 | − | 0.693957i | \(-0.755866\pi\) |
0.693957 | + | 0.720017i | \(0.255866\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −0.609992 | − | 0.609992i | −0.0284720 | − | 0.0284720i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.5791 | − | 12.5791i | 0.585865 | − | 0.585865i | −0.350644 | − | 0.936509i | \(-0.614037\pi\) |
0.936509 | + | 0.350644i | \(0.114037\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.29549 | − | 3.29549i | −0.153154 | − | 0.153154i | 0.626371 | − | 0.779525i | \(-0.284540\pi\) |
−0.779525 | + | 0.626371i | \(0.784540\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.401026 | + | 0.815042i | −0.0185971 | + | 0.0377967i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 10.1995i | − | 0.471979i | −0.971756 | − | 0.235989i | \(-0.924167\pi\) | ||
0.971756 | − | 0.235989i | \(-0.0758331\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 17.1311 | − | 17.1311i | 0.791042 | − | 0.791042i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.95314 | 0.228229 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −18.8459 | − | 18.8459i | −0.866534 | − | 0.866534i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −5.92360 | − | 0.769051i | −0.271793 | − | 0.0352865i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.77149 | −0.126898 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 5.65795 | 0.258518 | 0.129259 | − | 0.991611i | \(-0.458740\pi\) | ||||
0.129259 | + | 0.991611i | \(0.458740\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −26.1205 | −1.19099 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 2.63516 | 0.119904 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −7.29722 | − | 21.4338i | −0.331350 | − | 0.973257i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −19.7470 | − | 19.7470i | −0.894823 | − | 0.894823i | 0.100149 | − | 0.994972i | \(-0.468068\pi\) |
−0.994972 | + | 0.100149i | \(0.968068\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4.70802 | −0.212904 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.21405 | − | 4.21405i | 0.190177 | − | 0.190177i | −0.605595 | − | 0.795773i | \(-0.707065\pi\) |
0.795773 | + | 0.605595i | \(0.207065\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 0.959871i | − | 0.0432304i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −34.5870 | + | 11.7753i | −1.55457 | + | 0.529261i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −16.3712 | − | 16.3712i | −0.734348 | − | 0.734348i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 16.8862 | − | 16.8862i | 0.755928 | − | 0.755928i | −0.219650 | − | 0.975579i | \(-0.570492\pi\) |
0.975579 | + | 0.219650i | \(0.0704917\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.68450 | − | 4.68450i | −0.209288 | − | 0.209288i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −20.3714 | + | 20.3714i | −0.908317 | + | 0.908317i | −0.996136 | − | 0.0878190i | \(-0.972010\pi\) |
0.0878190 | + | 0.996136i | \(0.472010\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.54923 | − | 25.1112i | −0.380436 | − | 1.11744i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −6.43550 | −0.285811 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 20.6309 | + | 20.6309i | 0.914448 | + | 0.914448i | 0.996618 | − | 0.0821701i | \(-0.0261851\pi\) |
−0.0821701 | + | 0.996618i | \(0.526185\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 8.41952i | 0.372458i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 2.41307 | − | 2.41307i | 0.106540 | − | 0.106540i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −15.4610 | + | 5.26376i | −0.681293 | + | 0.231949i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 36.0320i | − | 1.58469i | ||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.44215i | 0.194989i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − | 19.0433i | − | 0.834300i | −0.908838 | − | 0.417150i | \(-0.863029\pi\) | ||
0.908838 | − | 0.417150i | \(-0.136971\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 19.1782i | − | 0.838603i | −0.907847 | − | 0.419301i | \(-0.862275\pi\) | ||
0.907847 | − | 0.419301i | \(-0.137725\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −0.702515 | + | 5.41111i | −0.0306603 | + | 0.236160i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −0.174722 | + | 0.174722i | −0.00761101 | + | 0.00761101i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 17.1693i | 0.746490i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −21.0644 | − | 21.0644i | −0.914118 | − | 0.914118i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −17.0553 | −0.738749 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −18.0165 | − | 8.86469i | −0.778922 | − | 0.383254i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.50153 | − | 1.50153i | 0.0647957 | − | 0.0647957i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −9.09950 | − | 9.09950i | −0.391943 | − | 0.391943i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.5231 | + | 14.5231i | −0.624398 | + | 0.624398i | −0.946653 | − | 0.322255i | \(-0.895559\pi\) |
0.322255 | + | 0.946653i | \(0.395559\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0.768787 | + | 0.768787i | 0.0329918 | + | 0.0329918i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −11.1172 | − | 32.6539i | −0.476207 | − | 1.39874i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.97058i | 0.426311i | 0.977018 | + | 0.213156i | \(0.0683742\pi\) | ||||
−0.977018 | + | 0.213156i | \(0.931626\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.23967 | + | 5.23967i | −0.223624 | + | 0.223624i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.79716 | 0.161765 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −12.9316 | − | 12.9316i | −0.549906 | − | 0.549906i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −2.51258 | + | 5.10655i | −0.106653 | + | 0.216761i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −11.4424 | −0.484831 | −0.242416 | − | 0.970173i | \(-0.577940\pi\) | ||||
−0.242416 | + | 0.970173i | \(0.577940\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.8846 | 0.967915 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.889743 | 0.0375650 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −47.0585 | −1.98328 | −0.991640 | − | 0.129034i | \(-0.958812\pi\) | ||||
−0.991640 | + | 0.129034i | \(0.958812\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.8628 | + | 4.37919i | −0.541141 | + | 0.184234i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 10.6346 | + | 10.6346i | 0.446612 | + | 0.446612i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 41.4684 | 1.73845 | 0.869224 | − | 0.494419i | \(-0.164619\pi\) | ||||
0.869224 | + | 0.494419i | \(0.164619\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.1745 | + | 16.1745i | −0.676881 | + | 0.676881i | −0.959293 | − | 0.282412i | \(-0.908865\pi\) |
0.282412 | + | 0.959293i | \(0.408865\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 9.97963i | − | 0.416905i | ||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 11.9730 | + | 1.55443i | 0.499307 | + | 0.0648242i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 20.0316 | + | 20.0316i | 0.833926 | + | 0.833926i | 0.988051 | − | 0.154125i | \(-0.0492560\pi\) |
−0.154125 | + | 0.988051i | \(0.549256\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.89898 | − | 1.89898i | 0.0789189 | − | 0.0789189i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 14.2562 | + | 14.2562i | 0.591447 | + | 0.591447i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.22349 | − | 4.22349i | 0.174919 | − | 0.174919i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 13.8502 | − | 28.1490i | 0.572634 | − | 1.16382i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −29.1190 | −1.20187 | −0.600935 | − | 0.799298i | \(-0.705205\pi\) | ||||
−0.600935 | + | 0.799298i | \(0.705205\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.691185 | − | 0.691185i | −0.0284798 | − | 0.0284798i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0.554866i | 0.0228242i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −10.3431 | + | 10.3431i | −0.424740 | + | 0.424740i | −0.886832 | − | 0.462092i | \(-0.847099\pi\) |
0.462092 | + | 0.886832i | \(0.347099\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.655294 | + | 1.33181i | −0.0268644 | + | 0.0545991i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 12.7016i | 0.519843i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 2.59479i | − | 0.106020i | −0.998594 | − | 0.0530101i | \(-0.983118\pi\) | ||
0.998594 | − | 0.0530101i | \(-0.0168816\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 14.4092i | 0.587765i | 0.955842 | + | 0.293882i | \(0.0949474\pi\) | ||||
−0.955842 | + | 0.293882i | \(0.905053\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 30.3493i | 1.23592i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 23.9038 | − | 48.5818i | 0.971826 | − | 1.97513i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.8502 | + | 11.8502i | −0.480985 | + | 0.480985i | −0.905446 | − | 0.424461i | \(-0.860464\pi\) |
0.424461 | + | 0.905446i | \(0.360464\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | − | 3.46864i | − | 0.140557i | ||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 21.8769 | + | 21.8769i | 0.885045 | + | 0.885045i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.8256 | −0.679579 | −0.339789 | − | 0.940502i | \(-0.610356\pi\) | ||||
−0.339789 | + | 0.940502i | \(0.610356\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −1.64059 | + | 3.33431i | −0.0661548 | + | 0.134453i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.4849 | + | 22.4849i | −0.905209 | + | 0.905209i | −0.995881 | − | 0.0906720i | \(-0.971098\pi\) |
0.0906720 | + | 0.995881i | \(0.471098\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 14.1269 | + | 14.1269i | 0.567809 | + | 0.567809i | 0.931514 | − | 0.363705i | \(-0.118488\pi\) |
−0.363705 | + | 0.931514i | \(0.618488\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.87738 | + | 4.87738i | −0.195723 | + | 0.195723i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.60715 | − | 6.60715i | −0.264710 | − | 0.264710i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.38382 | + | 24.1712i | −0.255353 | + | 0.966848i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 3.51974i | 0.140565i | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.09470 | + | 1.09470i | −0.0436486 | + | 0.0436486i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −33.9235 | −1.35047 | −0.675236 | − | 0.737601i | \(-0.735958\pi\) | ||||
−0.675236 | + | 0.737601i | \(0.735958\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.204361 | − | 0.204361i | −0.00812261 | − | 0.00812261i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 2.27415 | − | 0.774246i | 0.0902470 | − | 0.0307250i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.0496 | 0.437799 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 29.0030 | 1.14734 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 18.8495 | 0.744509 | 0.372254 | − | 0.928131i | \(-0.378585\pi\) | ||||
0.372254 | + | 0.928131i | \(0.378585\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.4916 | 0.650364 | 0.325182 | − | 0.945652i | \(-0.394574\pi\) | ||||
0.325182 | + | 0.945652i | \(0.394574\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 2.20131 | − | 4.47393i | 0.0866766 | − | 0.176161i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.316870 | − | 0.316870i | −0.0124574 | − | 0.0124574i | 0.700851 | − | 0.713308i | \(-0.252804\pi\) |
−0.713308 | + | 0.700851i | \(0.752804\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 64.2002 | 2.52008 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.631386 | + | 0.631386i | −0.0247460 | + | 0.0247460i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | − | 17.0751i | − | 0.668200i | −0.942538 | − | 0.334100i | \(-0.891568\pi\) | ||
0.942538 | − | 0.334100i | \(-0.108432\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.74560 | − | 22.7508i | −0.302646 | − | 0.888946i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.45796 | − | 7.45796i | −0.290963 | − | 0.290963i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.42245 | − | 7.42245i | 0.289138 | − | 0.289138i | −0.547601 | − | 0.836739i | \(-0.684459\pi\) |
0.836739 | + | 0.547601i | \(0.184459\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.7614 | − | 31.7614i | −1.23538 | − | 1.23538i | −0.961870 | − | 0.273507i | \(-0.911816\pi\) |
−0.273507 | − | 0.961870i | \(-0.588184\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −0.540209 | + | 0.540209i | −0.0209800 | + | 0.0209800i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −5.26854 | − | 2.59229i | −0.204305 | − | 0.100525i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −7.67495 | −0.297175 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.31446 | − | 8.31446i | −0.321456 | − | 0.321456i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 15.9695i | − | 0.616496i | ||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.14672 | − | 4.14672i | 0.159844 | − | 0.159844i | −0.622653 | − | 0.782498i | \(-0.713945\pi\) |
0.782498 | + | 0.622653i | \(0.213945\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −8.71507 | − | 11.3156i | −0.335443 | − | 0.435538i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 25.2618i | 0.970890i | 0.874267 | + | 0.485445i | \(0.161342\pi\) | ||||
−0.874267 | + | 0.485445i | \(0.838658\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | − | 22.2569i | − | 0.854143i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 6.84196i | − | 0.262184i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 8.20306i | − | 0.313881i | −0.987608 | − | 0.156941i | \(-0.949837\pi\) | ||
0.987608 | − | 0.156941i | \(-0.0501631\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 38.2542 | − | 13.0238i | 1.46162 | − | 0.497615i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 3.92707 | − | 3.92707i | 0.149827 | − | 0.149827i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 5.12859i | 0.195384i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 7.89158 | + | 7.89158i | 0.300210 | + | 0.300210i | 0.841096 | − | 0.540886i | \(-0.181911\pi\) |
−0.540886 | + | 0.841096i | \(0.681911\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −35.9153 | −1.36431 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −7.89066 | − | 23.1768i | −0.299310 | − | 0.879147i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.714783 | + | 0.714783i | −0.0270744 | + | 0.0270744i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −0.834083 | − | 0.834083i | −0.0315479 | − | 0.0315479i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −1.50228 | + | 1.50228i | −0.0567405 | + | 0.0567405i | −0.734908 | − | 0.678167i | \(-0.762775\pi\) |
0.678167 | + | 0.734908i | \(0.262775\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.33054 | − | 4.33054i | −0.163329 | − | 0.163329i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 6.38131 | − | 2.17255i | 0.240334 | − | 0.0818228i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | − | 26.0756i | − | 0.980675i | ||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 36.0738 | − | 36.0738i | 1.35478 | − | 1.35478i | 0.474551 | − | 0.880228i | \(-0.342610\pi\) |
0.880228 | − | 0.474551i | \(-0.157390\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 22.9094 | 0.859170 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.39704 | + | 1.39704i | 0.0523197 | + | 0.0523197i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 21.7900 | + | 64.0026i | 0.814899 | + | 2.39356i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 5.84291 | 0.218207 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −35.0340 | −1.30655 | −0.653274 | − | 0.757121i | \(-0.726605\pi\) | ||||
−0.653274 | + | 0.757121i | \(0.726605\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −16.0548 | −0.597911 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −6.58989 | −0.245081 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.04609 | − | 15.7599i | 0.0759898 | − | 0.585310i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.4241 | + | 25.4241i | 0.942928 | + | 0.942928i | 0.998457 | − | 0.0555295i | \(-0.0176847\pi\) |
−0.0555295 | + | 0.998457i | \(0.517685\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −14.5855 | −0.540203 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.959085 | − | 0.959085i | 0.0354731 | − | 0.0354731i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 7.37554i | − | 0.272422i | −0.990680 | − | 0.136211i | \(-0.956508\pi\) | ||
0.990680 | − | 0.136211i | \(-0.0434925\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.06288 | − | 2.16019i | 0.0392049 | − | 0.0796797i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −46.2494 | − | 46.2494i | −1.70362 | − | 1.70362i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −5.55025 | + | 5.55025i | −0.204169 | + | 0.204169i | −0.801784 | − | 0.597614i | \(-0.796115\pi\) |
0.597614 | + | 0.801784i | \(0.296115\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −2.13702 | − | 2.13702i | −0.0785053 | − | 0.0785053i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.78835 | + | 6.78835i | −0.249040 | + | 0.249040i | −0.820577 | − | 0.571536i | \(-0.806348\pi\) |
0.571536 | + | 0.820577i | \(0.306348\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −28.6532 | + | 9.75510i | −1.04977 | + | 0.357399i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −25.2561 | −0.924073 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −13.9568 | − | 13.9568i | −0.509970 | − | 0.509970i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.93385i | 0.143548i | 0.997421 | + | 0.0717742i | \(0.0228661\pi\) | ||||
−0.997421 | + | 0.0717742i | \(0.977134\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −5.15330 | + | 5.15330i | −0.187797 | + | 0.187797i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −19.4374 | − | 9.56379i | −0.707398 | − | 0.348062i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 21.8327i | 0.793525i | 0.917921 | + | 0.396762i | \(0.129866\pi\) | ||||
−0.917921 | + | 0.396762i | \(0.870134\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − | 7.11421i | − | 0.258230i | ||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 4.27291i | − | 0.154893i | −0.996997 | − | 0.0774464i | \(-0.975323\pi\) | ||
0.996997 | − | 0.0774464i | \(-0.0246767\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − | 33.9080i | − | 1.22755i | ||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.599258 | − | 1.76017i | −0.0216662 | − | 0.0636391i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −38.9793 | + | 38.9793i | −1.40746 | + | 1.40746i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 26.1800i | 0.944074i | 0.881579 | + | 0.472037i | \(0.156481\pi\) | ||||
−0.881579 | + | 0.472037i | \(0.843519\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.1459 | + | 10.1459i | 0.365395 | + | 0.365395i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 15.0077 | 0.539791 | 0.269895 | − | 0.962890i | \(-0.413011\pi\) | ||||
0.269895 | + | 0.962890i | \(0.413011\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.24117 | + | 2.49629i | −0.116426 | + | 0.0896693i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −3.95587 | + | 3.95587i | −0.141916 | + | 0.141916i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −2.82762 | − | 2.82762i | −0.101310 | − | 0.101310i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −44.1977 | + | 44.1977i | −1.58152 | + | 1.58152i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.42007 | + | 6.42007i | 0.229434 | + | 0.229434i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 20.0161 | + | 9.84856i | 0.714407 | + | 0.351510i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 42.9223i | 1.53001i | 0.644022 | + | 0.765007i | \(0.277264\pi\) | ||||
−0.644022 | + | 0.765007i | \(0.722736\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 6.98118 | − | 6.98118i | 0.248536 | − | 0.248536i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −13.3568 | −0.474912 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.69591 | + | 9.69591i | 0.344312 | + | 0.344312i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 1.00264 | + | 0.493329i | 0.0355599 | + | 0.0174966i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −0.280831 | −0.00994753 | −0.00497377 | − | 0.999988i | \(-0.501583\pi\) | ||||
−0.00497377 | + | 0.999988i | \(0.501583\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.83371 | 0.0648719 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 11.7052 | 0.413581 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 22.7304 | 0.802139 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.6489 | + | 5.23961i | 0.375326 | + | 0.184672i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 3.28398 | + | 3.28398i | 0.115602 | + | 0.115602i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −16.5787 | −0.582876 | −0.291438 | − | 0.956590i | \(-0.594134\pi\) | ||||
−0.291438 | + | 0.956590i | \(0.594134\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.25384 | + | 7.25384i | −0.254717 | + | 0.254717i | −0.822901 | − | 0.568184i | \(-0.807646\pi\) |
0.568184 | + | 0.822901i | \(0.307646\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.27366i | 0.184955i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −19.0256 | − | 9.36118i | −0.666437 | − | 0.327908i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 3.79405 | + | 3.79405i | 0.132737 | + | 0.132737i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 21.8061 | − | 21.8061i | 0.761965 | − | 0.761965i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 15.3525 | + | 15.3525i | 0.535806 | + | 0.535806i | 0.922294 | − | 0.386489i | \(-0.126312\pi\) |
−0.386489 | + | 0.922294i | \(0.626312\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −26.7794 | + | 26.7794i | −0.933472 | + | 0.933472i | −0.997921 | − | 0.0644492i | \(-0.979471\pi\) |
0.0644492 | + | 0.997921i | \(0.479471\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 14.6085 | + | 1.89660i | 0.508603 | + | 0.0660311i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 39.4186 | 1.37072 | 0.685359 | − | 0.728205i | \(-0.259645\pi\) | ||||
0.685359 | + | 0.728205i | \(0.259645\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 20.7102 | + | 20.7102i | 0.719296 | + | 0.719296i | 0.968461 | − | 0.249165i | \(-0.0801561\pi\) |
−0.249165 | + | 0.968461i | \(0.580156\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 4.11345i | 0.142694i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.463083 | − | 0.463083i | 0.0160449 | − | 0.0160449i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −9.61612 | − | 28.2449i | −0.332779 | − | 0.977456i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − | 2.33725i | − | 0.0807870i | ||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − | 31.8706i | − | 1.10029i | −0.835068 | − | 0.550147i | \(-0.814572\pi\) | ||
0.835068 | − | 0.550147i | \(-0.185428\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | − | 18.8975i | − | 0.651638i | ||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 10.4350i | 0.359399i | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −26.0065 | − | 12.7960i | −0.894651 | − | 0.440196i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 37.6347 | − | 37.6347i | 1.29314 | − | 1.29314i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 7.18654i | 0.246642i | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 8.75302 | + | 8.75302i | 0.300050 | + | 0.300050i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 26.5538 | 0.909185 | 0.454592 | − | 0.890700i | \(-0.349785\pi\) | ||||
0.454592 | + | 0.890700i | \(0.349785\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 6.96307 | − | 2.37061i | 0.238132 | − | 0.0810731i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −20.7249 | + | 20.7249i | −0.707951 | + | 0.707951i | −0.966104 | − | 0.258153i | \(-0.916886\pi\) |
0.258153 | + | 0.966104i | \(0.416886\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −35.9248 | − | 35.9248i | −1.22574 | − | 1.22574i | −0.965561 | − | 0.260176i | \(-0.916219\pi\) |
−0.260176 | − | 0.965561i | \(-0.583781\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −2.58298 | + | 2.58298i | −0.0880278 | + | 0.0880278i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 9.19232 | + | 9.19232i | 0.312910 | + | 0.312910i | 0.846036 | − | 0.533126i | \(-0.178983\pi\) |
−0.533126 | + | 0.846036i | \(0.678983\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −8.83254 | + | 17.9512i | −0.300315 | + | 0.610358i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | − | 8.39500i | − | 0.285109i | ||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −34.9117 | + | 34.9117i | −1.18430 | + | 1.18430i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 56.1608 | 1.90293 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 19.7151 | + | 19.7151i | 0.667253 | + | 0.667253i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −13.5981 | + | 20.4700i | −0.459699 | + | 0.692011i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 17.9106 | 0.604799 | 0.302399 | − | 0.953181i | \(-0.402212\pi\) | ||||
0.302399 | + | 0.953181i | \(0.402212\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 5.91641 | 0.199556 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 6.01537 | 0.202663 | 0.101332 | − | 0.994853i | \(-0.467690\pi\) | ||||
0.101332 | + | 0.994853i | \(0.467690\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.8374 | −0.667580 | −0.333790 | − | 0.942647i | \(-0.608328\pi\) | ||||
−0.333790 | + | 0.942647i | \(0.608328\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.87095 | + | 11.3699i | 0.130120 | + | 0.382196i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 14.3740 | + | 14.3740i | 0.482632 | + | 0.482632i | 0.905971 | − | 0.423339i | \(-0.139142\pi\) |
−0.423339 | + | 0.905971i | \(0.639142\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.36149 | 0.0792019 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 28.7106 | − | 28.7106i | 0.961842 | − | 0.961842i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 7.25398i | 0.242745i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.05337 | − | 3.08226i | 0.302621 | − | 0.103029i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.31941 | + | 4.31941i | 0.144221 | + | 0.144221i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 1.83892 | − | 1.83892i | 0.0613315 | − | 0.0613315i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 0.214938 | + | 0.214938i | 0.00716061 | + | 0.00716061i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 3.46580 | − | 3.46580i | 0.115335 | − | 0.115335i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 1.57813 | + | 4.63536i | 0.0524588 | + | 0.154084i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 39.0417 | 1.29636 | 0.648180 | − | 0.761487i | \(-0.275531\pi\) | ||||
0.648180 | + | 0.761487i | \(0.275531\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 23.0976 | + | 23.0976i | 0.766100 | + | 0.766100i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 14.0166i | − | 0.464392i | −0.972669 | − | 0.232196i | \(-0.925409\pi\) | ||
0.972669 | − | 0.232196i | \(-0.0745911\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 38.4879 | − | 38.4879i | 1.27376 | − | 1.27376i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 2.82822 | − | 0.962880i | 0.0934980 | − | 0.0318318i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − | 23.6245i | − | 0.780150i | ||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 8.15149i | − | 0.268893i | −0.990921 | − | 0.134446i | \(-0.957074\pi\) | ||
0.990921 | − | 0.134446i | \(-0.0429256\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 12.6362i | 0.416376i | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | − | 53.6695i | − | 1.76655i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.3072 | + | 15.6402i | −0.667696 | + | 0.514247i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 14.2212 | − | 14.2212i | 0.467086 | − | 0.467086i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − | 13.4779i | − | 0.442196i | −0.975252 | − | 0.221098i | \(-0.929036\pi\) | ||
0.975252 | − | 0.221098i | \(-0.0709641\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.83192 | + | 1.83192i | 0.0600386 | + | 0.0600386i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 10.6633 | 0.349101 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 3.59554 | + | 1.76912i | 0.117587 | + | 0.0578563i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −15.8564 | + | 15.8564i | −0.518005 | + | 0.518005i | −0.916967 | − | 0.398963i | \(-0.869370\pi\) |
0.398963 | + | 0.916967i | \(0.369370\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 9.33225 | + | 9.33225i | 0.304546 | + | 0.304546i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −15.7073 | + | 15.7073i | −0.512044 | + | 0.512044i | −0.915152 | − | 0.403108i | \(-0.867930\pi\) |
0.403108 | + | 0.915152i | \(0.367930\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 5.71527 | + | 5.71527i | 0.186115 | + | 0.186115i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −4.52489 | − | 13.2907i | −0.147195 | − | 0.432347i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 33.6925i | 1.09486i | 0.836852 | + | 0.547430i | \(0.184394\pi\) | ||||
−0.836852 | + | 0.547430i | \(0.815606\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −13.8008 | + | 13.8008i | −0.447993 | + | 0.447993i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −8.06945 | −0.261670 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −33.5702 | − | 33.5702i | −1.08745 | − | 1.08745i | −0.995791 | − | 0.0916550i | \(-0.970784\pi\) |
−0.0916550 | − | 0.995791i | \(-0.529216\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 19.8430 | − | 40.3287i | 0.642103 | − | 1.30501i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −9.36440 | −0.302708 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 39.7234 | 1.28274 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 30.3305 | 0.978404 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 24.7257 | 0.796774 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 11.4498 | − | 3.89813i | 0.368582 | − | 0.125485i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 28.6436 | + | 28.6436i | 0.921115 | + | 0.921115i | 0.997108 | − | 0.0759933i | \(-0.0242128\pi\) |
−0.0759933 | + | 0.997108i | \(0.524213\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −0.179123 | −0.00575427 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 35.7115 | − | 35.7115i | 1.14604 | − | 1.14604i | 0.158713 | − | 0.987325i | \(-0.449266\pi\) |
0.987325 | − | 0.158713i | \(-0.0507345\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 24.0669i | − | 0.771551i | ||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −10.0211 | + | 7.71806i | −0.320932 | + | 0.247176i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 7.12822 | + | 7.12822i | 0.228052 | + | 0.228052i | 0.811879 | − | 0.583826i | \(-0.198445\pi\) |
−0.583826 | + | 0.811879i | \(0.698445\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −17.8375 | + | 17.8375i | −0.570090 | + | 0.570090i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 30.0355 | + | 30.0355i | 0.958959 | + | 0.958959i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −23.9941 | + | 23.9941i | −0.765292 | + | 0.765292i | −0.977274 | − | 0.211982i | \(-0.932008\pi\) |
0.211982 | + | 0.977274i | \(0.432008\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.10327 | + | 2.24227i | −0.0351530 | + | 0.0714447i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6.62639 | 0.210920 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −7.66866 | − | 7.66866i | −0.243849 | − | 0.243849i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 40.6040i | 1.28983i | 0.764255 | + | 0.644914i | \(0.223107\pi\) | ||||
−0.764255 | + | 0.644914i | \(0.776893\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 4.32718 | − | 4.32718i | 0.137319 | − | 0.137319i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −25.2553 | + | 51.3286i | −0.800645 | + | 1.62723i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 54.9087i | 1.73898i | 0.493953 | + | 0.869488i | \(0.335551\pi\) | ||||
−0.493953 | + | 0.869488i | \(0.664449\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | − | 14.6437i | − | 0.463308i |
(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 | 640.2.s.d.287.6 | 18 | ||
4.3 | odd | 2 | 640.2.s.c.287.4 | 18 | |||
5.3 | odd | 4 | 640.2.j.d.543.6 | 18 | |||
8.3 | odd | 2 | 320.2.s.b.207.6 | 18 | |||
8.5 | even | 2 | 80.2.s.b.27.9 | yes | 18 | ||
16.3 | odd | 4 | 640.2.j.d.607.4 | 18 | |||
16.5 | even | 4 | 320.2.j.b.47.4 | 18 | |||
16.11 | odd | 4 | 80.2.j.b.67.6 | yes | 18 | ||
16.13 | even | 4 | 640.2.j.c.607.6 | 18 | |||
20.3 | even | 4 | 640.2.j.c.543.4 | 18 | |||
24.5 | odd | 2 | 720.2.z.g.667.1 | 18 | |||
40.3 | even | 4 | 320.2.j.b.143.6 | 18 | |||
40.13 | odd | 4 | 80.2.j.b.43.6 | ✓ | 18 | ||
40.19 | odd | 2 | 1600.2.s.d.207.4 | 18 | |||
40.27 | even | 4 | 1600.2.j.d.143.4 | 18 | |||
40.29 | even | 2 | 400.2.s.d.107.1 | 18 | |||
40.37 | odd | 4 | 400.2.j.d.43.4 | 18 | |||
48.11 | even | 4 | 720.2.bd.g.307.4 | 18 | |||
80.3 | even | 4 | inner | 640.2.s.d.223.6 | 18 | ||
80.13 | odd | 4 | 640.2.s.c.223.4 | 18 | |||
80.27 | even | 4 | 400.2.s.d.243.1 | 18 | |||
80.37 | odd | 4 | 1600.2.s.d.943.4 | 18 | |||
80.43 | even | 4 | 80.2.s.b.3.9 | yes | 18 | ||
80.53 | odd | 4 | 320.2.s.b.303.6 | 18 | |||
80.59 | odd | 4 | 400.2.j.d.307.4 | 18 | |||
80.69 | even | 4 | 1600.2.j.d.1007.6 | 18 | |||
120.53 | even | 4 | 720.2.bd.g.523.4 | 18 | |||
240.203 | odd | 4 | 720.2.z.g.163.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.2.j.b.43.6 | ✓ | 18 | 40.13 | odd | 4 | ||
80.2.j.b.67.6 | yes | 18 | 16.11 | odd | 4 | ||
80.2.s.b.3.9 | yes | 18 | 80.43 | even | 4 | ||
80.2.s.b.27.9 | yes | 18 | 8.5 | even | 2 | ||
320.2.j.b.47.4 | 18 | 16.5 | even | 4 | |||
320.2.j.b.143.6 | 18 | 40.3 | even | 4 | |||
320.2.s.b.207.6 | 18 | 8.3 | odd | 2 | |||
320.2.s.b.303.6 | 18 | 80.53 | odd | 4 | |||
400.2.j.d.43.4 | 18 | 40.37 | odd | 4 | |||
400.2.j.d.307.4 | 18 | 80.59 | odd | 4 | |||
400.2.s.d.107.1 | 18 | 40.29 | even | 2 | |||
400.2.s.d.243.1 | 18 | 80.27 | even | 4 | |||
640.2.j.c.543.4 | 18 | 20.3 | even | 4 | |||
640.2.j.c.607.6 | 18 | 16.13 | even | 4 | |||
640.2.j.d.543.6 | 18 | 5.3 | odd | 4 | |||
640.2.j.d.607.4 | 18 | 16.3 | odd | 4 | |||
640.2.s.c.223.4 | 18 | 80.13 | odd | 4 | |||
640.2.s.c.287.4 | 18 | 4.3 | odd | 2 | |||
640.2.s.d.223.6 | 18 | 80.3 | even | 4 | inner | ||
640.2.s.d.287.6 | 18 | 1.1 | even | 1 | trivial | ||
720.2.z.g.163.1 | 18 | 240.203 | odd | 4 | |||
720.2.z.g.667.1 | 18 | 24.5 | odd | 2 | |||
720.2.bd.g.307.4 | 18 | 48.11 | even | 4 | |||
720.2.bd.g.523.4 | 18 | 120.53 | even | 4 | |||
1600.2.j.d.143.4 | 18 | 40.27 | even | 4 | |||
1600.2.j.d.1007.6 | 18 | 80.69 | even | 4 | |||
1600.2.s.d.207.4 | 18 | 40.19 | odd | 2 | |||
1600.2.s.d.943.4 | 18 | 80.37 | odd | 4 |