Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [720,2,Mod(241,720)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(720, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("720.241");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 720 = 2^{4} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 720.q (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.74922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.856615824.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 11x^{6} + 36x^{4} + 32x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{2} \) |
Twist minimal: | no (minimal twist has level 360) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 241.3 | ||
Root | \(2.06288i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 720.241 |
Dual form | 720.2.q.l.481.3 |
$q$-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 \(\left(\mathbb{Z}/720\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(271\) | \(577\) | \(641\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||||||
\(3\) | 0.574618 | − | 1.63396i | 0.331756 | − | 0.943365i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.28651 | + | 3.96035i | −0.864218 | + | 1.49687i | 0.00360263 | + | 0.999994i | \(0.498853\pi\) |
−0.867821 | + | 0.496877i | \(0.834480\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.33963 | − | 1.87780i | −0.779876 | − | 0.625934i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.29604 | + | 3.97686i | −0.692282 | + | 1.19907i | 0.278807 | + | 0.960347i | \(0.410061\pi\) |
−0.971088 | + | 0.238720i | \(0.923272\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.83963 | + | 3.18633i | 0.510221 | + | 0.883728i | 0.999930 | + | 0.0118424i | \(0.00376965\pi\) |
−0.489709 | + | 0.871886i | \(0.662897\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.70236 | + | 0.319344i | −0.439547 | + | 0.0824543i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.55395 | −0.619424 | −0.309712 | − | 0.950830i | \(-0.600233\pi\) | ||||
−0.309712 | + | 0.950830i | \(0.600233\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.76643 | −1.09349 | −0.546747 | − | 0.837298i | \(-0.684134\pi\) | ||||
−0.546747 | + | 0.837298i | \(0.684134\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 5.15716 | + | 6.01174i | 1.12539 | + | 1.31187i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.28651 | − | 2.22830i | −0.268255 | − | 0.464632i | 0.700156 | − | 0.713990i | \(-0.253114\pi\) |
−0.968411 | + | 0.249358i | \(0.919780\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −4.41264 | + | 2.74383i | −0.849213 | + | 0.528050i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.956412 | + | 1.65655i | −0.177601 | + | 0.307614i | −0.941058 | − | 0.338244i | \(-0.890167\pi\) |
0.763457 | + | 0.645858i | \(0.223500\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.73339 | + | 3.00231i | 0.311326 | + | 0.539232i | 0.978650 | − | 0.205536i | \(-0.0658937\pi\) |
−0.667324 | + | 0.744767i | \(0.732560\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 5.17866 | + | 6.03680i | 0.901489 | + | 1.05087i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 4.57301 | 0.772980 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.46677 | 0.898732 | 0.449366 | − | 0.893348i | \(-0.351650\pi\) | ||||
0.449366 | + | 0.893348i | \(0.351650\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.26340 | − | 1.17495i | 1.00295 | − | 0.188142i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.32056 | − | 5.75139i | −0.518585 | − | 0.898215i | −0.999767 | − | 0.0215947i | \(-0.993126\pi\) |
0.481182 | − | 0.876621i | \(-0.340208\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.27698 | + | 5.67589i | −0.499734 | + | 0.865565i | −1.00000 | 0.000307033i | \(-0.999902\pi\) | |
0.500266 | + | 0.865872i | \(0.333236\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.456412 | + | 2.96508i | −0.0680378 | + | 0.442008i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.01989 | − | 8.69471i | 0.732227 | − | 1.26825i | −0.223703 | − | 0.974657i | \(-0.571814\pi\) |
0.955929 | − | 0.293597i | \(-0.0948522\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.95623 | − | 12.0485i | −0.993747 | − | 1.72122i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.46755 | + | 4.17304i | −0.205498 | + | 0.584343i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.03813 | 0.554679 | 0.277340 | − | 0.960772i | \(-0.410547\pi\) | ||||
0.277340 | + | 0.960772i | \(0.410547\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 4.59208 | 0.619196 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.73888 | + | 7.78814i | −0.362773 | + | 1.03156i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.13567 | + | 10.6273i | 0.798796 | + | 1.38355i | 0.920401 | + | 0.390976i | \(0.127863\pi\) |
−0.121605 | + | 0.992579i | \(0.538804\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.79604 | + | 8.30698i | −0.614070 | + | 1.06360i | 0.376477 | + | 0.926426i | \(0.377135\pi\) |
−0.990547 | + | 0.137174i | \(0.956198\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 12.7863 | − | 4.97212i | 1.61093 | − | 0.626429i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 1.83963 | − | 3.18633i | 0.228178 | − | 0.395215i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.66972 | − | 9.82025i | −0.692667 | − | 1.19973i | −0.970961 | − | 0.239238i | \(-0.923102\pi\) |
0.278294 | − | 0.960496i | \(-0.410231\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.38019 | + | 0.821677i | −0.527313 | + | 0.0989183i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.67925 | 0.199291 | 0.0996454 | − | 0.995023i | \(-0.468229\pi\) | ||||
0.0996454 | + | 0.995023i | \(0.468229\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.12530 | 0.365789 | 0.182895 | − | 0.983133i | \(-0.441453\pi\) | ||||
0.182895 | + | 0.983133i | \(0.441453\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 1.12774 | + | 1.31461i | 0.130220 | + | 0.151798i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −10.4998 | − | 18.1862i | −1.19657 | − | 2.07251i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.64113 | + | 11.5028i | −0.747185 | + | 1.29416i | 0.201982 | + | 0.979389i | \(0.435262\pi\) |
−0.949167 | + | 0.314773i | \(0.898071\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.94771 | + | 8.78672i | 0.216412 | + | 0.976302i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 5.39275 | − | 9.34051i | 0.591931 | − | 1.02525i | −0.402041 | − | 0.915622i | \(-0.631699\pi\) |
0.993972 | − | 0.109633i | \(-0.0349675\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.27698 | + | 2.21179i | 0.138507 | + | 0.239902i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 2.15716 | + | 2.51462i | 0.231272 | + | 0.269596i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 4.04905 | 0.429198 | 0.214599 | − | 0.976702i | \(-0.431155\pi\) | ||||
0.214599 | + | 0.976702i | \(0.431155\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −16.8253 | −1.76377 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 5.90169 | − | 1.10709i | 0.611976 | − | 0.114800i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.38322 | + | 4.12785i | 0.244513 | + | 0.423509i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.68962 | + | 15.0509i | −0.882297 | + | 1.52818i | −0.0335162 | + | 0.999438i | \(0.510671\pi\) |
−0.848781 | + | 0.528745i | \(0.822663\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 12.8396 | − | 4.99285i | 1.29043 | − | 0.501800i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −6.57301 | + | 11.3848i | −0.654039 | + | 1.13283i | 0.328094 | + | 0.944645i | \(0.393594\pi\) |
−0.982134 | + | 0.188184i | \(0.939740\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −5.75245 | − | 9.96354i | −0.566806 | − | 0.981736i | −0.996879 | − | 0.0789425i | \(-0.974846\pi\) |
0.430073 | − | 0.902794i | \(-0.358488\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.62774 | − | 7.47211i | 0.256441 | − | 0.729203i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −5.52396 | −0.534022 | −0.267011 | − | 0.963694i | \(-0.586036\pi\) | ||||
−0.267011 | + | 0.963694i | \(0.586036\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −16.7381 | −1.60322 | −0.801610 | − | 0.597847i | \(-0.796023\pi\) | ||||
−0.801610 | + | 0.597847i | \(0.796023\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 3.14131 | − | 8.93247i | 0.298160 | − | 0.847833i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.89376 | − | 3.28009i | −0.178150 | − | 0.308565i | 0.763097 | − | 0.646284i | \(-0.223678\pi\) |
−0.941247 | + | 0.337719i | \(0.890345\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.28651 | + | 2.22830i | −0.119967 | + | 0.207790i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 1.67925 | − | 10.9093i | 0.155247 | − | 1.00856i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.83963 | − | 10.1145i | 0.535318 | − | 0.927198i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.04359 | − | 8.73575i | −0.458508 | − | 0.794159i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −11.3056 | + | 2.12080i | −1.01939 | + | 0.191226i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 11.1444 | 0.988903 | 0.494451 | − | 0.869205i | \(-0.335369\pi\) | ||||
0.494451 | + | 0.869205i | \(0.335369\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 7.39114 | + | 8.61591i | 0.650754 | + | 0.758588i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −10.9125 | − | 18.9009i | −0.953426 | − | 1.65138i | −0.737930 | − | 0.674878i | \(-0.764196\pi\) |
−0.215496 | − | 0.976505i | \(-0.569137\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 10.8985 | − | 18.8767i | 0.945018 | − | 1.63682i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 4.58255 | + | 2.44955i | 0.394403 | + | 0.210823i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 2.22284 | − | 3.85008i | 0.189910 | − | 0.328934i | −0.755310 | − | 0.655368i | \(-0.772514\pi\) |
0.945220 | + | 0.326434i | \(0.105847\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.58338 | + | 9.67069i | 0.473576 | + | 0.820257i | 0.999542 | − | 0.0302478i | \(-0.00962964\pi\) |
−0.525967 | + | 0.850505i | \(0.676296\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −11.3223 | − | 13.1984i | −0.953506 | − | 1.11151i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −16.8954 | −1.41287 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.91282 | 0.158851 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −23.6840 | + | 4.44286i | −1.95342 | + | 0.366441i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 6.54341 | + | 11.3335i | 0.536057 | + | 0.928478i | 0.999111 | + | 0.0421478i | \(0.0134200\pi\) |
−0.463055 | + | 0.886330i | \(0.653247\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.179436 | + | 0.310792i | −0.0146023 | + | 0.0252919i | −0.873234 | − | 0.487301i | \(-0.837982\pi\) |
0.858632 | + | 0.512593i | \(0.171315\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 5.97529 | + | 4.79582i | 0.483074 | + | 0.387719i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.73339 | − | 3.00231i | 0.139229 | − | 0.241152i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.53489 | + | 11.3188i | 0.521541 | + | 0.903335i | 0.999686 | + | 0.0250544i | \(0.00797591\pi\) |
−0.478145 | + | 0.878281i | \(0.658691\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 2.32038 | − | 6.59812i | 0.184018 | − | 0.523265i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.7664 | 0.927325 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.7872 | 1.47152 | 0.735762 | − | 0.677240i | \(-0.236824\pi\) | ||||
0.735762 | + | 0.677240i | \(0.236824\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 2.63869 | − | 7.50325i | 0.205422 | − | 0.584128i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.12613 | + | 12.3428i | 0.551437 | + | 0.955117i | 0.998171 | + | 0.0604500i | \(0.0192536\pi\) |
−0.446734 | + | 0.894667i | \(0.647413\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.268456 | + | 0.464980i | −0.0206505 | + | 0.0357677i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.1517 | + | 8.95042i | 0.852790 | + | 0.684456i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 4.59208 | − | 7.95371i | 0.349129 | − | 0.604710i | −0.636966 | − | 0.770892i | \(-0.719811\pi\) |
0.986095 | + | 0.166183i | \(0.0531441\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.28651 | − | 3.96035i | −0.172844 | − | 0.299374i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 20.8902 | − | 3.91878i | 1.57020 | − | 0.294553i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −18.7872 | −1.40422 | −0.702109 | − | 0.712069i | \(-0.747758\pi\) | ||||
−0.702109 | + | 0.712069i | \(0.747758\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 11.9128 | 0.885473 | 0.442737 | − | 0.896652i | \(-0.354008\pi\) | ||||
0.442737 | + | 0.896652i | \(0.354008\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 10.8174 | + | 12.6099i | 0.799642 | + | 0.932148i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −2.73339 | − | 4.73437i | −0.200963 | − | 0.348077i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.86397 | − | 10.1567i | 0.428816 | − | 0.742731i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.776975 | − | 23.7494i | −0.0565167 | − | 1.72751i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.37285 | − | 4.10990i | 0.171694 | − | 0.297382i | −0.767318 | − | 0.641266i | \(-0.778409\pi\) |
0.939012 | + | 0.343884i | \(0.111743\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.27698 | − | 7.40794i | −0.307863 | − | 0.533235i | 0.670031 | − | 0.742333i | \(-0.266281\pi\) |
−0.977895 | + | 0.209098i | \(0.932947\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.14924 | − | 4.83679i | −0.297133 | − | 0.346370i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.2539 | −0.873056 | −0.436528 | − | 0.899691i | \(-0.643792\pi\) | ||||
−0.436528 | + | 0.899691i | \(0.643792\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.71738 | −0.121742 | −0.0608710 | − | 0.998146i | \(-0.519388\pi\) | ||||
−0.0608710 | + | 0.998146i | \(0.519388\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −19.3038 | + | 3.62118i | −1.36158 | + | 0.255419i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.37368 | − | 7.57544i | −0.306972 | − | 0.531692i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −3.32056 | + | 5.75139i | −0.231918 | + | 0.401694i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −1.17435 | + | 7.62919i | −0.0816232 | + | 0.530265i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 10.9439 | − | 18.9554i | 0.757006 | − | 1.31117i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.26661 | + | 2.19384i | 0.0871972 | + | 0.151030i | 0.906325 | − | 0.422581i | \(-0.138876\pi\) |
−0.819128 | + | 0.573611i | \(0.805542\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0.964931 | − | 2.74383i | 0.0661160 | − | 0.188004i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 6.55395 | 0.446976 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.8536 | −1.07621 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 1.79586 | − | 5.10661i | 0.121353 | − | 0.345073i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.69832 | − | 8.13772i | −0.316043 | − | 0.547403i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.1659 | − | 19.3399i | 0.747725 | − | 1.29510i | −0.201185 | − | 0.979553i | \(-0.564479\pi\) |
0.948911 | − | 0.315545i | \(-0.102187\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 2.79604 | − | 1.08728i | 0.186403 | − | 0.0724850i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −5.20886 | + | 9.02201i | −0.345724 | + | 0.598812i | −0.985485 | − | 0.169762i | \(-0.945700\pi\) |
0.639761 | + | 0.768574i | \(0.279033\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.78169 | + | 15.2103i | 0.580311 | + | 1.00513i | 0.995442 | + | 0.0953662i | \(0.0304022\pi\) |
−0.415132 | + | 0.909761i | \(0.636264\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −35.7489 | + | 6.70611i | −2.35210 | + | 0.441230i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 19.2328 | 1.25999 | 0.629993 | − | 0.776601i | \(-0.283058\pi\) | ||||
0.629993 | + | 0.776601i | \(0.283058\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.0398 | −0.654924 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 14.9789 | + | 17.4610i | 0.972985 | + | 1.13422i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −5.25227 | − | 9.09720i | −0.339741 | − | 0.588449i | 0.644643 | − | 0.764484i | \(-0.277006\pi\) |
−0.984384 | + | 0.176035i | \(0.943673\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.66037 | + | 8.07200i | −0.300201 | + | 0.519963i | −0.976181 | − | 0.216956i | \(-0.930387\pi\) |
0.675980 | + | 0.736920i | \(0.263720\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 15.4763 | + | 1.86654i | 0.992805 | + | 0.119738i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −6.95623 | + | 12.0485i | −0.444417 | + | 0.769753i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.76846 | − | 15.1874i | −0.557924 | − | 0.966352i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −12.1632 | − | 14.1787i | −0.770813 | − | 0.898541i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −19.9125 | −1.25686 | −0.628432 | − | 0.777865i | \(-0.716303\pi\) | ||||
−0.628432 | + | 0.777865i | \(0.716303\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 11.8155 | 0.742833 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 4.34774 | − | 0.815589i | 0.272266 | − | 0.0510742i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 5.70868 | + | 9.88772i | 0.356098 | + | 0.616779i | 0.987305 | − | 0.158835i | \(-0.0507737\pi\) |
−0.631207 | + | 0.775614i | \(0.717440\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −12.4998 | + | 21.6503i | −0.776701 | + | 1.34529i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 5.34833 | − | 2.07976i | 0.331053 | − | 0.128734i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.28568 | − | 3.95891i | 0.140941 | − | 0.244117i | −0.786910 | − | 0.617067i | \(-0.788321\pi\) |
0.927851 | + | 0.372951i | \(0.121654\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.01906 | − | 3.49712i | −0.124030 | − | 0.214826i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 2.32666 | − | 6.61597i | 0.142389 | − | 0.404891i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 17.5954 | 1.07281 | 0.536405 | − | 0.843961i | \(-0.319782\pi\) | ||||
0.536405 | + | 0.843961i | \(0.319782\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 9.64113 | 0.585657 | 0.292828 | − | 0.956165i | \(-0.405404\pi\) | ||||
0.292828 | + | 0.956165i | \(0.405404\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −9.66812 | + | 27.4918i | −0.585141 | + | 1.66388i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −2.29604 | − | 3.97686i | −0.138456 | − | 0.239813i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −7.05211 | + | 12.2146i | −0.423720 | + | 0.733905i | −0.996300 | − | 0.0859443i | \(-0.972609\pi\) |
0.572580 | + | 0.819849i | \(0.305943\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.58228 | − | 10.2793i | 0.0947284 | − | 0.615403i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.72793 | + | 2.99285i | −0.103079 | + | 0.178539i | −0.912952 | − | 0.408067i | \(-0.866203\pi\) |
0.809873 | + | 0.586606i | \(0.199536\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.0911 | + | 20.9423i | 0.718739 | + | 1.24489i | 0.961500 | + | 0.274807i | \(0.0886138\pi\) |
−0.242760 | + | 0.970086i | \(0.578053\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 8.11417 | − | 1.52213i | 0.480642 | − | 0.0901633i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 30.3700 | 1.79268 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.4773 | −0.616314 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 19.5992 | + | 22.8470i | 1.14893 | + | 1.33931i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.62715 | + | 4.55035i | 0.153480 | + | 0.265834i | 0.932504 | − | 0.361159i | \(-0.117619\pi\) |
−0.779025 | + | 0.626993i | \(0.784285\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 6.13567 | − | 10.6273i | 0.357232 | − | 0.618744i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.780214 | − | 23.8484i | −0.0452726 | − | 1.38382i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 4.73339 | − | 8.19847i | 0.273739 | − | 0.474130i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −14.9857 | − | 25.9559i | −0.863759 | − | 1.49607i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 14.8253 | + | 17.2819i | 0.851690 | + | 0.992821i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.59208 | 0.549241 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.31148 | −0.0748503 | −0.0374252 | − | 0.999299i | \(-0.511916\pi\) | ||||
−0.0374252 | + | 0.999299i | \(0.511916\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −19.5854 | + | 3.67402i | −1.11418 | + | 0.209008i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.43170 | + | 7.67594i | 0.251299 | + | 0.435263i | 0.963884 | − | 0.266324i | \(-0.0858089\pi\) |
−0.712585 | + | 0.701586i | \(0.752476\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.12169 | + | 1.94282i | −0.0634014 | + | 0.109814i | −0.895984 | − | 0.444087i | \(-0.853528\pi\) |
0.832582 | + | 0.553901i | \(0.186862\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −10.6991 | − | 8.58722i | −0.602829 | − | 0.483835i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −10.2873 | + | 17.8182i | −0.577794 | + | 1.00077i | 0.417937 | + | 0.908476i | \(0.362753\pi\) |
−0.995732 | + | 0.0922935i | \(0.970580\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.39192 | − | 7.60702i | −0.245900 | − | 0.425911i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −3.17417 | + | 9.02592i | −0.177165 | + | 0.503778i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 12.1732 | 0.677337 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.67925 | −0.204088 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −9.61803 | + | 27.3493i | −0.531878 | + | 1.51242i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 22.9560 | + | 39.7610i | 1.26561 | + | 2.19210i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 10.8938 | − | 18.8685i | 0.598775 | − | 1.03711i | −0.394227 | − | 0.919013i | \(-0.628988\pi\) |
0.993002 | − | 0.118096i | \(-0.0376790\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −12.7902 | − | 10.2655i | −0.700899 | − | 0.562547i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −5.66972 | + | 9.82025i | −0.309770 | + | 0.536537i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.22284 | − | 10.7783i | −0.338980 | − | 0.587130i | 0.645261 | − | 0.763962i | \(-0.276749\pi\) |
−0.984241 | + | 0.176832i | \(0.943415\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −6.44771 | + | 1.20952i | −0.350192 | + | 0.0656922i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −15.9197 | −0.862100 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 31.6108 | 1.70682 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 2.90169 | + | 3.38252i | 0.156222 | + | 0.182109i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 8.59736 | + | 14.8911i | 0.461530 | + | 0.799394i | 0.999037 | − | 0.0438652i | \(-0.0139672\pi\) |
−0.537507 | + | 0.843259i | \(0.680634\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.74191 | + | 8.21322i | −0.253828 | + | 0.439644i | −0.964577 | − | 0.263803i | \(-0.915023\pi\) |
0.710748 | + | 0.703446i | \(0.248357\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −16.8604 | − | 9.01250i | −0.899939 | − | 0.481052i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −6.70868 | + | 11.6198i | −0.357067 | + | 0.618458i | −0.987469 | − | 0.157810i | \(-0.949557\pi\) |
0.630402 | + | 0.776268i | \(0.282890\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.839627 | − | 1.45428i | −0.0445628 | − | 0.0771850i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −13.1711 | − | 15.3537i | −0.697091 | − | 0.812604i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −12.3970 | −0.654289 | −0.327144 | − | 0.944974i | \(-0.606086\pi\) | ||||
−0.327144 | + | 0.944974i | \(0.606086\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.71887 | 0.195730 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −17.1720 | + | 3.22128i | −0.901295 | + | 0.169073i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −1.56265 | − | 2.70659i | −0.0817929 | − | 0.141670i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −10.2857 | + | 17.8153i | −0.536908 | + | 0.929952i | 0.462160 | + | 0.886796i | \(0.347074\pi\) |
−0.999068 | + | 0.0431555i | \(0.986259\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −3.03109 | + | 19.6915i | −0.157792 | + | 1.02510i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −9.23321 | + | 15.9924i | −0.479364 | + | 0.830283i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2.23154 | + | 3.86515i | 0.115545 | + | 0.200130i | 0.917997 | − | 0.396586i | \(-0.129805\pi\) |
−0.802453 | + | 0.596716i | \(0.796472\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.574618 | − | 1.63396i | 0.0296732 | − | 0.0843771i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −7.03776 | −0.362463 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 8.77660 | 0.450823 | 0.225412 | − | 0.974264i | \(-0.427627\pi\) | ||||
0.225412 | + | 0.974264i | \(0.427627\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.40376 | − | 18.2094i | 0.328075 | − | 0.932896i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.60606 | − | 2.78177i | −0.0820658 | − | 0.142142i | 0.822071 | − | 0.569384i | \(-0.192818\pi\) |
−0.904137 | + | 0.427242i | \(0.859485\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −10.4998 | + | 18.1862i | −0.535120 | + | 0.926856i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 18.3251 | − | 7.12595i | 0.931517 | − | 0.362232i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −12.7957 | + | 22.1628i | −0.648766 | + | 1.12370i | 0.334651 | + | 0.942342i | \(0.391381\pi\) |
−0.983418 | + | 0.181354i | \(0.941952\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.28568 | + | 5.69096i | 0.166164 | + | 0.287804i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −37.1538 | + | 6.96966i | −1.87416 | + | 0.351573i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 13.2823 | 0.668303 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 14.3902 | 0.722221 | 0.361111 | − | 0.932523i | \(-0.382398\pi\) | ||||
0.361111 | + | 0.932523i | \(0.382398\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −24.5813 | − | 28.6546i | −1.23060 | − | 1.43452i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −13.0692 | − | 22.6365i | −0.652645 | − | 1.13042i | −0.982479 | − | 0.186376i | \(-0.940326\pi\) |
0.329833 | − | 0.944039i | \(-0.393008\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.37757 | + | 11.0463i | −0.317689 | + | 0.550254i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.63567 | − | 6.08013i | 0.329729 | − | 0.302124i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −12.5519 | + | 21.7406i | −0.622176 | + | 1.07764i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.29096 | − | 5.70010i | −0.162727 | − | 0.281852i | 0.773119 | − | 0.634262i | \(-0.218696\pi\) |
−0.935846 | + | 0.352410i | \(0.885362\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −5.01357 | − | 5.84435i | −0.247301 | − | 0.288281i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −56.1170 | −2.76134 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.7855 | −0.529439 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 19.0098 | − | 3.56604i | 0.930914 | − | 0.174630i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 6.37451 | + | 11.0410i | 0.311415 | + | 0.539387i | 0.978669 | − | 0.205443i | \(-0.0658636\pi\) |
−0.667254 | + | 0.744831i | \(0.732530\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.641128 | − | 1.11047i | 0.0312467 | − | 0.0541208i | −0.849979 | − | 0.526816i | \(-0.823386\pi\) |
0.881226 | + | 0.472695i | \(0.156719\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −28.0716 | + | 10.9160i | −1.36489 | + | 0.530755i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.27698 | − | 2.21179i | 0.0619424 | − | 0.107287i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −21.9324 | − | 37.9880i | −1.06138 | − | 1.83837i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −9.70842 | + | 27.6064i | −0.468727 | + | 1.33285i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −6.89137 | −0.331946 | −0.165973 | − | 0.986130i | \(-0.553076\pi\) | ||||
−0.165973 | + | 0.986130i | \(0.553076\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 30.4551 | 1.46358 | 0.731790 | − | 0.681530i | \(-0.238685\pi\) | ||||
0.731790 | + | 0.681530i | \(0.238685\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.09914 | − | 3.12547i | 0.0526999 | − | 0.149855i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 6.13205 | + | 10.6210i | 0.293336 | + | 0.508072i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.8654 | + | 25.7477i | −0.709488 | + | 1.22887i | 0.255559 | + | 0.966794i | \(0.417741\pi\) |
−0.965047 | + | 0.262077i | \(0.915593\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −6.34981 | + | 41.2515i | −0.302372 | + | 1.96436i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −3.16482 | + | 5.48163i | −0.150365 | + | 0.260440i | −0.931362 | − | 0.364095i | \(-0.881378\pi\) |
0.780997 | + | 0.624535i | \(0.214712\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.02453 | − | 3.50658i | −0.0959717 | − | 0.166228i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 22.2784 | − | 4.17920i | 1.05373 | − | 0.197669i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 25.8456 | 1.21973 | 0.609866 | − | 0.792505i | \(-0.291223\pi\) | ||||
0.609866 | + | 0.792505i | \(0.291223\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 30.4966 | 1.43603 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.404714 | + | 0.471778i | 0.0190151 | + | 0.0221661i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 8.41264 | + | 14.5711i | 0.394391 | + | 0.683105i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.6545 | − | 30.5786i | 0.825845 | − | 1.43041i | −0.0754270 | − | 0.997151i | \(-0.524032\pi\) |
0.901272 | − | 0.433254i | \(-0.142635\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 11.2697 | − | 7.00760i | 0.526023 | − | 0.327087i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.55941 | + | 2.70098i | −0.0726291 | + | 0.125797i | −0.900053 | − | 0.435781i | \(-0.856472\pi\) |
0.827424 | + | 0.561578i | \(0.189806\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.58736 | − | 2.74939i | −0.0737708 | − | 0.127775i | 0.826780 | − | 0.562525i | \(-0.190170\pi\) |
−0.900551 | + | 0.434750i | \(0.856837\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.90961 | − | 4.55746i | −0.181304 | − | 0.211347i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −20.2808 | −0.938482 | −0.469241 | − | 0.883070i | \(-0.655472\pi\) | ||||
−0.469241 | + | 0.883070i | \(0.655472\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 51.8554 | 2.39446 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 22.2494 | − | 4.17375i | 1.02520 | − | 0.192316i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −15.0481 | − | 26.0641i | −0.691914 | − | 1.19843i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.38322 | − | 4.12785i | 0.109349 | − | 0.189399i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.44771 | − | 7.58281i | −0.432581 | − | 0.347193i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −5.03813 | + | 8.72629i | −0.230198 | + | 0.398714i | −0.957866 | − | 0.287215i | \(-0.907271\pi\) |
0.727668 | + | 0.685929i | \(0.240604\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.0568 | + | 17.4189i | 0.458552 | + | 0.794235i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 6.76121 | − | 19.2258i | 0.307646 | − | 0.874806i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 17.3792 | 0.789150 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 28.3589 | 1.28506 | 0.642532 | − | 0.766259i | \(-0.277884\pi\) | ||||
0.642532 | + | 0.766259i | \(0.277884\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 10.7954 | − | 30.6974i | 0.488187 | − | 1.38818i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16.4560 | + | 28.5027i | 0.742651 | + | 1.28631i | 0.951284 | + | 0.308315i | \(0.0997652\pi\) |
−0.208633 | + | 0.977994i | \(0.566901\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.44263 | − | 4.23076i | 0.110010 | − | 0.190544i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −10.7437 | − | 8.62302i | −0.482896 | − | 0.387576i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −3.83963 | + | 6.65043i | −0.172231 | + | 0.298313i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.50546 | + | 4.33959i | 0.112160 | + | 0.194267i | 0.916641 | − | 0.399712i | \(-0.130890\pi\) |
−0.804481 | + | 0.593978i | \(0.797556\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 24.2624 | − | 4.55138i | 1.08397 | − | 0.203341i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −42.1916 | −1.88123 | −0.940615 | − | 0.339477i | \(-0.889750\pi\) | ||||
−0.940615 | + | 0.339477i | \(0.889750\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 13.1460 | 0.584991 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0.605497 | + | 0.705832i | 0.0268911 | + | 0.0313471i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 8.61660 | + | 14.9244i | 0.381924 | + | 0.661512i | 0.991337 | − | 0.131341i | \(-0.0419282\pi\) |
−0.609413 | + | 0.792853i | \(0.708595\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.14603 | + | 12.3773i | −0.316122 | + | 0.547539i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 21.0326 | − | 13.0783i | 0.928610 | − | 0.577420i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −5.75245 | + | 9.96354i | −0.253483 | + | 0.439046i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 23.0517 | + | 39.9268i | 1.01381 | + | 1.75598i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −10.3573 | − | 12.0736i | −0.454636 | − | 0.529972i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.42901 | −0.237849 | −0.118925 | − | 0.992903i | \(-0.537945\pi\) | ||||
−0.118925 | + | 0.992903i | \(0.537945\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.68128 | −0.292152 | −0.146076 | − | 0.989273i | \(-0.546664\pi\) | ||||
−0.146076 | + | 0.989273i | \(0.546664\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −7.78490 | + | 1.46036i | −0.339761 | + | 0.0637355i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −4.42699 | − | 7.66776i | −0.192843 | − | 0.334013i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.18980 | − | 14.1851i | 0.356078 | − | 0.616746i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.60078 | − | 36.3855i | 0.243053 | − | 1.57899i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 12.2172 | − | 21.1608i | 0.529186 | − | 0.916576i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.76198 | + | 4.78389i | 0.119411 | + | 0.206826i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.7954 | + | 30.6974i | −0.465858 | + | 1.32469i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 63.8871 | 2.75181 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 35.3087 | 1.51804 | 0.759020 | − | 0.651067i | \(-0.225678\pi\) | ||||
0.759020 | + | 0.651067i | \(0.225678\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 6.84533 | − | 19.4650i | 0.293761 | − | 0.835325i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 8.36905 | + | 14.4956i | 0.358491 | + | 0.620924i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.78105 | − | 10.0131i | 0.247180 | − | 0.428128i | −0.715563 | − | 0.698549i | \(-0.753830\pi\) |
0.962742 | + | 0.270421i | \(0.0871629\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 26.8198 | − | 10.4292i | 1.14464 | − | 0.445109i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.55867 | − | 7.89585i | 0.194206 | − | 0.336374i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −30.3700 | − | 52.6023i | −1.29146 | − | 2.23688i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −9.30640 | + | 1.74578i | −0.395035 | + | 0.0741043i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −18.0415 | −0.764441 | −0.382220 | − | 0.924071i | \(-0.624840\pi\) | ||||
−0.382220 | + | 0.924071i | \(0.624840\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −24.1137 | −1.01990 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −13.2261 | − | 15.4177i | −0.558404 | − | 0.650936i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 1.28086 | + | 2.21852i | 0.0539820 | + | 0.0934995i | 0.891754 | − | 0.452521i | \(-0.149475\pi\) |
−0.837772 | + | 0.546021i | \(0.816142\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.89376 | + | 3.28009i | −0.0796711 | + | 0.137994i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −39.2519 | − | 12.3773i | −1.64843 | − | 0.519797i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 10.3502 | − | 17.9270i | 0.433902 | − | 0.751540i | −0.563304 | − | 0.826250i | \(-0.690470\pi\) |
0.997205 | + | 0.0747101i | \(0.0238032\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.58338 | − | 6.20659i | −0.149960 | − | 0.259738i | 0.781253 | − | 0.624215i | \(-0.214581\pi\) |
−0.931212 | + | 0.364477i | \(0.881248\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −5.35192 | − | 6.23876i | −0.223579 | − | 0.260628i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.57301 | 0.107302 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −27.2463 | −1.13428 | −0.567140 | − | 0.823622i | \(-0.691950\pi\) | ||||
−0.567140 | + | 0.823622i | \(0.691950\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −14.5619 | + | 2.73165i | −0.605171 | + | 0.113524i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 24.6611 | + | 42.7143i | 1.02312 | + | 1.77209i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.27170 | + | 16.0590i | −0.383994 | + | 0.665098i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −10.2873 | + | 4.00036i | −0.425329 | + | 0.165395i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 8.24746 | − | 14.2850i | 0.340409 | − | 0.589606i | −0.644100 | − | 0.764942i | \(-0.722768\pi\) |
0.984509 | + | 0.175336i | \(0.0561012\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −8.26207 | − | 14.3103i | −0.340433 | − | 0.589647i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −7.04133 | + | 20.0224i | −0.289642 | + | 0.823611i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −14.2819 | −0.586487 | −0.293244 | − | 0.956038i | \(-0.594735\pi\) | ||||
−0.293244 | + | 0.956038i | \(0.594735\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −11.6793 | −0.478803 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −0.986839 | + | 2.80613i | −0.0403886 | + | 0.114847i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 11.1951 | + | 19.3904i | 0.457419 | + | 0.792272i | 0.998824 | − | 0.0484897i | \(-0.0154408\pi\) |
−0.541405 | + | 0.840762i | \(0.682107\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 6.05015 | − | 10.4792i | 0.246791 | − | 0.427454i | −0.715843 | − | 0.698262i | \(-0.753957\pi\) |
0.962634 | + | 0.270807i | \(0.0872906\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.17545 | + | 33.6223i | −0.210761 | + | 1.36921i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.04359 | + | 8.73575i | −0.205051 | + | 0.355159i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.1659 | + | 17.6079i | 0.412622 | + | 0.714682i | 0.995176 | − | 0.0981100i | \(-0.0312797\pi\) |
−0.582554 | + | 0.812792i | \(0.697946\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −14.8911 | + | 2.79342i | −0.603420 | + | 0.113195i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 36.9389 | 1.49439 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 24.8853 | 1.00511 | 0.502553 | − | 0.864546i | \(-0.332394\pi\) | ||||
0.502553 | + | 0.864546i | \(0.332394\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 7.48946 | + | 8.73051i | 0.302004 | + | 0.352048i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −22.6994 | − | 39.3165i | −0.913844 | − | 1.58282i | −0.808585 | − | 0.588380i | \(-0.799766\pi\) |
−0.105259 | − | 0.994445i | \(-0.533567\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.71376 | − | 16.8247i | 0.390429 | − | 0.676243i | −0.602077 | − | 0.798438i | \(-0.705660\pi\) |
0.992506 | + | 0.122195i | \(0.0389933\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 11.7910 | + | 6.30272i | 0.473155 | + | 0.252919i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −9.25818 | + | 16.0356i | −0.370921 | + | 0.642454i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −24.6837 | − | 28.7740i | −0.985774 | − | 1.14912i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −13.9619 | −0.556696 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.78752 | −0.310016 | −0.155008 | − | 0.987913i | \(-0.549540\pi\) | ||||
−0.155008 | + | 0.987913i | \(0.549540\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 4.31245 | − | 0.808970i | 0.171405 | − | 0.0321537i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −5.57218 | − | 9.65130i | −0.221125 | − | 0.383000i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 25.5937 | − | 44.3297i | 1.01406 | − | 1.75640i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −3.92883 | − | 3.15331i | −0.155422 | − | 0.124743i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 14.6981 | − | 25.4579i | 0.580541 | − | 1.00553i | −0.414874 | − | 0.909879i | \(-0.636174\pi\) |
0.995415 | − | 0.0956483i | \(-0.0304924\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.65066 | + | 8.05518i | 0.183404 | + | 0.317665i | 0.943038 | − | 0.332686i | \(-0.107955\pi\) |
−0.759633 | + | 0.650351i | \(0.774622\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 3.76602 | − | 10.7089i | 0.148287 | − | 0.421661i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 40.4647 | 1.59083 | 0.795417 | − | 0.606063i | \(-0.207252\pi\) | ||||
0.795417 | + | 0.606063i | \(0.207252\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −56.3509 | −2.21197 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −9.10978 | + | 25.9041i | −0.357040 | + | 1.01526i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 7.32546 | + | 12.6881i | 0.286668 | + | 0.496523i | 0.973012 | − | 0.230754i | \(-0.0741191\pi\) |
−0.686345 | + | 0.727276i | \(0.740786\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −10.9125 | + | 18.9009i | −0.426385 | + | 0.738521i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.31204 | − | 5.86870i | −0.285270 | − | 0.228960i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.51380 | + | 4.35403i | −0.0979237 | + | 0.169609i | −0.910825 | − | 0.412793i | \(-0.864553\pi\) |
0.812901 | + | 0.582401i | \(0.197887\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.9128 | − | 27.5618i | −0.618937 | − | 1.07203i | −0.989680 | − | 0.143295i | \(-0.954230\pi\) |
0.370743 | − | 0.928736i | \(-0.379103\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −15.9964 | + | 3.00076i | −0.621250 | + | 0.116540i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −21.7970 | −0.845250 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 4.92172 | 0.190570 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −25.1845 | − | 29.3577i | −0.973688 | − | 1.13504i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −22.0238 | − | 38.1463i | −0.850219 | − | 1.47262i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.45077 | + | 9.44101i | −0.210112 | + | 0.363924i | −0.951749 | − | 0.306877i | \(-0.900716\pi\) |
0.741638 | + | 0.670801i | \(0.234049\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −0.169904 | − | 5.19337i | −0.00653963 | − | 0.199893i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 14.0047 | − | 24.2569i | 0.538245 | − | 0.932268i | −0.460754 | − | 0.887528i | \(-0.652421\pi\) |
0.998999 | − | 0.0447397i | \(-0.0142459\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −39.7377 | − | 68.8278i | −1.52499 | − | 2.64137i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 11.7485 | + | 13.6953i | 0.450202 | + | 0.524804i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 7.19544 | 0.275326 | 0.137663 | − | 0.990479i | \(-0.456041\pi\) | ||||
0.137663 | + | 0.990479i | \(0.456041\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.44569 | −0.169861 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 29.8992 | − | 5.60876i | 1.14072 | − | 0.213988i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 7.42865 | + | 12.8668i | 0.283009 | + | 0.490186i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 11.2713 | − | 19.5225i | 0.428782 | − | 0.742672i | −0.567984 | − | 0.823040i | \(-0.692276\pi\) |
0.996765 | + | 0.0803682i | \(0.0256096\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −9.58448 | + | 62.2656i | −0.364084 | + | 2.36527i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 5.58338 | − | 9.67069i | 0.211790 | − | 0.366830i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 8.48056 | + | 14.6888i | 0.321224 | + | 0.556376i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 11.0515 | − | 31.4256i | 0.418008 | − | 1.18863i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −19.7098 | −0.744428 | −0.372214 | − | 0.928147i | \(-0.621401\pi\) | ||||
−0.372214 | + | 0.928147i | \(0.621401\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.0570 | −0.982758 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −5.76905 | + | 16.4046i | −0.217275 | + | 0.617832i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −30.0585 | − | 52.0628i | −1.13047 | − | 1.95802i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.0643 | + | 20.8960i | −0.453085 | + | 0.784766i | −0.998576 | − | 0.0533508i | \(-0.983010\pi\) |
0.545491 | + | 0.838117i | \(0.316343\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 37.1377 | − | 14.4415i | 1.39277 | − | 0.541597i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 4.46003 | − | 7.72500i | 0.167029 | − | 0.289303i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.44771 | + | 14.6319i | 0.315926 | + | 0.547201i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −17.8825 | + | 3.35456i | −0.667833 | + | 0.125278i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −8.79732 | −0.328085 | −0.164042 | − | 0.986453i | \(-0.552453\pi\) | ||||
−0.164042 | + | 0.986453i | \(0.552453\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 52.6121 | 1.95938 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 10.5114 | + | 12.2532i | 0.390922 | + | 0.455700i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.956412 | − | 1.65655i | −0.0355202 | − | 0.0615229i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.62123 | + | 4.54011i | −0.0972162 | + | 0.168383i | −0.910531 | − | 0.413440i | \(-0.864327\pi\) |
0.813315 | + | 0.581823i | \(0.197660\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 11.9428 | − | 24.2151i | 0.442326 | − | 0.896854i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 8.36923 | − | 14.4959i | 0.309547 | − | 0.536152i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.0589 | + | 29.5468i | 0.630083 | + | 1.09134i | 0.987534 | + | 0.157404i | \(0.0503125\pi\) |
−0.357451 | + | 0.933932i | \(0.616354\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 15.6896 | + | 18.2895i | 0.578720 | + | 0.674618i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 52.0716 | 1.91808 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.53174 | 0.203488 | 0.101744 | − | 0.994811i | \(-0.467558\pi\) | ||||
0.101744 | + | 0.994811i | \(0.467558\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −29.8541 | + | 5.60031i | −1.09672 | + | 0.205732i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.77234 | − | 13.4621i | −0.285140 | − | 0.493876i | 0.687503 | − | 0.726181i | \(-0.258707\pi\) |
−0.972643 | + | 0.232305i | \(0.925373\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.54341 | − | 11.3335i | 0.239732 | − | 0.415228i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −30.1567 | + | 11.7268i | −1.10337 | + | 0.429061i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 12.6306 | − | 21.8768i | 0.461511 | − | 0.799361i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 11.2472 | + | 19.4807i | 0.410416 | + | 0.710861i | 0.994935 | − | 0.100519i | \(-0.0320503\pi\) |
−0.584519 | + | 0.811380i | \(0.698717\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −11.4421 | + | 32.5361i | −0.416972 | + | 1.18568i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.358872 | 0.0130607 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.5714 | −0.529605 | −0.264802 | − | 0.964303i | \(-0.585307\pi\) | ||||
−0.264802 | + | 0.964303i | \(0.585307\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.78939 | − | 19.3060i | 0.246439 | − | 0.700763i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 6.90736 | + | 11.9639i | 0.250392 | + | 0.433691i | 0.963634 | − | 0.267227i | \(-0.0861073\pi\) |
−0.713242 | + | 0.700918i | \(0.752774\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 38.2718 | − | 66.2887i | 1.38553 | − | 2.39981i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.16565 | − | 7.57266i | 0.0421443 | − | 0.273790i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −22.5747 | + | 39.1005i | −0.815124 | + | 1.41184i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 0.0643136 | + | 0.111394i | 0.00231921 | + | 0.00401698i | 0.867183 | − | 0.497990i | \(-0.165928\pi\) |
−0.864863 | + | 0.502007i | \(0.832595\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 19.4364 | − | 3.64607i | 0.699986 | − | 0.131310i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −44.5427 | −1.60209 | −0.801044 | − | 0.598605i | \(-0.795722\pi\) | ||||
−0.801044 | + | 0.598605i | \(0.795722\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.46677 | −0.124530 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 28.1931 | + | 32.8648i | 1.01142 | + | 1.17902i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 15.8272 | + | 27.4136i | 0.567070 | + | 0.982194i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.85563 | + | 6.67815i | −0.137965 | + | 0.238963i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.324997 | − | 9.93401i | −0.0116145 | − | 0.355012i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.53489 | − | 11.3188i | 0.233240 | − | 0.403984i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 16.3932 | + | 28.3939i | 0.584355 | + | 1.01213i | 0.994956 | + | 0.100317i | \(0.0319858\pi\) |
−0.410601 | + | 0.911815i | \(0.634681\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.15529 | − | 6.00956i | −0.183533 | − | 0.213946i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 17.3204 | 0.615842 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −35.2917 | −1.25324 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −6.87433 | + | 1.28955i | −0.243807 | + | 0.0457357i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −26.9383 | − | 46.6584i | −0.954202 | − | 1.65273i | −0.736183 | − | 0.676783i | \(-0.763374\pi\) |
−0.218019 | − | 0.975944i | \(-0.569960\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.8206 | + | 22.2059i | −0.453559 | + | 0.785587i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −9.47327 | − | 7.60332i | −0.334721 | − | 0.268650i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −7.17582 | + | 12.4289i | −0.253229 | + | 0.438606i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −5.88322 | − | 10.1900i | −0.207356 | − | 0.359151i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 10.1106 | − | 28.7501i | 0.355911 | − | 1.01205i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −44.3890 | −1.56064 | −0.780318 | − | 0.625383i | \(-0.784943\pi\) | ||||
−0.780318 | + | 0.625383i | \(0.784943\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −23.6339 | −0.829898 | −0.414949 | − | 0.909845i | \(-0.636201\pi\) | ||||
−0.414949 | + | 0.909845i | \(0.636201\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 5.53997 | − | 15.7532i | 0.194295 | − | 0.552488i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −9.39358 | − | 16.2702i | −0.329043 | − | 0.569919i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 15.6195 | − | 27.0537i | 0.546456 | − | 0.946490i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 39.3649 | + | 31.5946i | 1.37552 | + | 1.10400i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 3.40921 | − | 5.90492i | 0.118982 | − | 0.206083i | −0.800382 | − | 0.599490i | \(-0.795370\pi\) |
0.919365 | + | 0.393407i | \(0.128704\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.1656 | − | 36.6598i | −0.737785 | − | 1.27788i | −0.953491 | − | 0.301423i | \(-0.902538\pi\) |
0.215706 | − | 0.976458i | \(-0.430795\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −7.81736 | + | 1.46645i | −0.272165 | + | 0.0510553i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 30.3700 | 1.05607 | 0.528034 | − | 0.849223i | \(-0.322929\pi\) | ||||
0.528034 | + | 0.849223i | \(0.322929\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −45.8420 | −1.59216 | −0.796078 | − | 0.605193i | \(-0.793096\pi\) | ||||
−0.796078 | + | 0.605193i | \(0.793096\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 15.9059 | + | 18.5416i | 0.551768 | + | 0.643200i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 17.7659 | + | 30.7714i | 0.615551 | + | 1.06617i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.12613 | − | 12.3428i | 0.246610 | − | 0.427141i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −15.8867 | − | 8.49202i | −0.549123 | − | 0.293527i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −5.62512 | + | 9.74300i | −0.194201 | + | 0.336366i | −0.946638 | − | 0.322298i | \(-0.895545\pi\) |
0.752437 | + | 0.658664i | \(0.228878\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.6706 | + | 21.9460i | 0.436916 | + | 0.756760i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 3.89730 | + | 4.54310i | 0.134230 | + | 0.156473i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.536913 | 0.0184704 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 46.1288 | 1.58500 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 41.1666 | − | 7.72242i | 1.41283 | − | 0.265033i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −7.03304 | − | 12.1816i | −0.241090 | − | 0.417580i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −2.67417 | + | 4.63180i | −0.0915619 | + | 0.158590i | −0.908169 | − | 0.418605i | \(-0.862519\pi\) |
0.816607 | + | 0.577195i | \(0.195853\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.17545 | − | 14.1328i | 0.0743990 | − | 0.483333i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −25.9646 | + | 44.9719i | −0.886933 | + | 1.53621i | −0.0434504 | + | 0.999056i | \(0.513835\pi\) |
−0.843482 | + | 0.537157i | \(0.819498\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 14.7117 | + | 25.4815i | 0.501958 | + | 0.869417i | 0.999997 | + | 0.00226239i | \(0.000720142\pi\) |
−0.498039 | + | 0.867154i | \(0.665947\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 17.4511 | − | 49.6232i | 0.594734 | − | 1.69115i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −15.9635 | −0.543405 | −0.271703 | − | 0.962381i | \(-0.587587\pi\) | ||||
−0.271703 | + | 0.962381i | \(0.587587\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.18416 | −0.312271 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −6.02047 | + | 17.1195i | −0.204466 | + | 0.581409i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −30.4966 | − | 52.8216i | −1.03453 | − | 1.79185i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 20.8604 | − | 36.1312i | 0.706826 | − | 1.22426i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 48.5930 | − | 18.8960i | 1.64462 | − | 0.639533i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −2.28651 | + | 3.96035i | −0.0772980 | + | 0.133884i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −2.71432 | − | 4.70135i | −0.0916562 | − | 0.158753i | 0.816552 | − | 0.577272i | \(-0.195883\pi\) |
−0.908208 | + | 0.418519i | \(0.862549\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 8.94468 | − | 1.67793i | 0.301697 | − | 0.0565951i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 10.2676 | 0.345926 | 0.172963 | − | 0.984928i | \(-0.444666\pi\) | ||||
0.172963 | + | 0.984928i | \(0.444666\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −12.6184 | −0.424642 | −0.212321 | − | 0.977200i | \(-0.568102\pi\) | ||||
−0.212321 | + | 0.977200i | \(0.568102\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −13.8389 | − | 16.1320i | −0.465188 | − | 0.542273i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −18.8015 | − | 32.5652i | −0.631293 | − | 1.09343i | −0.987288 | − | 0.158943i | \(-0.949191\pi\) |
0.355995 | − | 0.934488i | \(-0.384142\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −25.4817 | + | 44.1356i | −0.854628 | + | 1.48026i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −39.4155 | − | 12.4289i | −1.32047 | − | 0.416383i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −23.9270 | + | 41.4427i | −0.800686 | + | 1.38683i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 9.39358 | + | 16.2702i | 0.313993 | + | 0.543851i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −10.6760 | − | 12.4451i | −0.356463 | − | 0.415531i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −6.63133 | −0.221167 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −10.3132 | −0.343582 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −51.0219 | + | 9.57116i | −1.69790 | + | 0.318508i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −5.95641 | − | 10.3168i | −0.197998 | − | 0.342942i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −14.1556 | + | 24.5181i | −0.470028 | + | 0.814112i | −0.999413 | − | 0.0342699i | \(-0.989089\pi\) |
0.529385 | + | 0.848382i | \(0.322423\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 36.7568 | − | 14.2933i | 1.21915 | − | 0.474080i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −3.80658 | + | 6.59320i | −0.126118 | + | 0.218442i | −0.922169 | − | 0.386786i | \(-0.873585\pi\) |
0.796052 | + | 0.605229i | \(0.206918\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 24.7639 | + | 42.8924i | 0.819566 | + | 1.41953i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 5.51179 | − | 15.6730i | 0.182214 | − | 0.518135i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 99.8057 | 3.29587 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 41.2182 | 1.35966 | 0.679832 | − | 0.733368i | \(-0.262053\pi\) | ||||
0.679832 | + | 0.733368i | \(0.262053\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.753603 | + | 2.14291i | −0.0248321 | + | 0.0706112i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 3.08920 | + | 5.35065i | 0.101682 | + | 0.176119i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.73339 | + | 4.73437i | −0.0898732 | + | 0.155665i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −5.25097 | + | 34.1129i | −0.172464 | + | 1.12042i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −17.6128 | + | 30.5063i | −0.577857 | + | 1.00088i | 0.417867 | + | 0.908508i | \(0.362778\pi\) |
−0.995725 | + | 0.0923702i | \(0.970556\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 33.1564 | + | 57.4286i | 1.08666 | + | 1.88214i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 15.0887 | − | 2.83048i | 0.493981 | − | 0.0926656i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −11.7279 | −0.383545 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −15.7113 | −0.513265 | −0.256632 | − | 0.966509i | \(-0.582613\pi\) | ||||
−0.256632 | + | 0.966509i | \(0.582613\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 2.52994 | + | 2.94916i | 0.0825613 | + | 0.0962423i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 20.2594 | + | 35.0903i | 0.660437 | + | 1.14391i | 0.980501 | + | 0.196515i | \(0.0629624\pi\) |
−0.320064 | + | 0.947396i | \(0.603704\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.54386 | + | 14.7984i | −0.278226 | + | 0.481902i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −20.1791 | + | 12.5476i | −0.656425 | + | 0.408172i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 13.0266 | − | 22.5627i | 0.423307 | − | 0.733189i | −0.572954 | − | 0.819588i | \(-0.694203\pi\) |
0.996261 | + | 0.0863989i | \(0.0275360\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 5.74939 | + | 9.95824i | 0.186633 | + | 0.323258i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 23.2029 | + | 27.0477i | 0.752404 | + | 0.877083i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 8.24264 | 0.267005 | 0.133503 | − | 0.991048i | \(-0.457378\pi\) | ||||
0.133503 | + | 0.991048i | \(0.457378\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −4.74571 | −0.153567 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −14.9532 | + | 2.80506i | −0.483369 | + | 0.0906749i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 10.1651 | + | 17.6065i | 0.328248 | + | 0.568542i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.49074 | − | 16.4384i | 0.306153 | − | 0.530272i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 12.9240 | + | 10.3729i | 0.416471 | + | 0.334263i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −4.27698 | + | 7.40794i | −0.137681 | + | 0.238470i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.25818 | + | 10.8395i | 0.201250 | + | 0.348574i | 0.948931 | − | 0.315483i | \(-0.102166\pi\) |
−0.747682 | + | 0.664057i | \(0.768833\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.99496 | − | 19.8905i | 0.224711 | − | 0.638976i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −34.5180 | −1.10774 | −0.553868 | − | 0.832604i | \(-0.686849\pi\) | ||||
−0.553868 | + | 0.832604i | \(0.686849\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −51.0657 | −1.63709 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.11417 | + | 6.01174i | −0.0677076 | + | 0.192530i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 26.3164 | + | 45.5813i | 0.841936 | + | 1.45828i | 0.888256 | + | 0.459350i | \(0.151918\pi\) |
−0.0463193 | + | 0.998927i | \(0.514749\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.29678 | + | 16.1025i | −0.297126 | + | 0.514638i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 39.1609 | + | 31.4309i | 1.25031 | + | 1.00351i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.9082 | − | 31.0179i | 0.571183 | − | 0.989318i | −0.425262 | − | 0.905070i | \(-0.639818\pi\) |
0.996445 | − | 0.0842478i | \(-0.0268487\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.12697 | + | 10.6122i | 0.195221 | + | 0.338133i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 78.1588 | − | 14.6618i | 2.48782 | − | 0.466689i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 16.8634 | 0.536225 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −42.7203 | −1.35706 | −0.678528 | − | 0.734574i | \(-0.737382\pi\) | ||||
−0.678528 | + | 0.734574i | \(0.737382\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −24.5706 | − | 28.6421i | −0.779725 | − | 0.908931i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.858691 | + | 1.48730i | 0.0272223 | + | 0.0471504i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −23.4571 | + | 40.6290i | −0.742895 | + | 1.28673i | 0.208276 | + | 0.978070i | \(0.433215\pi\) |
−0.951172 | + | 0.308662i | \(0.900119\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −24.1229 | + | 14.9999i | −0.763215 | + | 0.474576i |
(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 | 720.2.q.l.241.3 | 8 | ||
3.2 | odd | 2 | 2160.2.q.l.721.1 | 8 | |||
4.3 | odd | 2 | 360.2.q.e.241.2 | yes | 8 | ||
9.2 | odd | 6 | 6480.2.a.bz.1.4 | 4 | |||
9.4 | even | 3 | inner | 720.2.q.l.481.3 | 8 | ||
9.5 | odd | 6 | 2160.2.q.l.1441.1 | 8 | |||
9.7 | even | 3 | 6480.2.a.cb.1.4 | 4 | |||
12.11 | even | 2 | 1080.2.q.e.721.4 | 8 | |||
36.7 | odd | 6 | 3240.2.a.u.1.1 | 4 | |||
36.11 | even | 6 | 3240.2.a.s.1.1 | 4 | |||
36.23 | even | 6 | 1080.2.q.e.361.4 | 8 | |||
36.31 | odd | 6 | 360.2.q.e.121.2 | ✓ | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.q.e.121.2 | ✓ | 8 | 36.31 | odd | 6 | ||
360.2.q.e.241.2 | yes | 8 | 4.3 | odd | 2 | ||
720.2.q.l.241.3 | 8 | 1.1 | even | 1 | trivial | ||
720.2.q.l.481.3 | 8 | 9.4 | even | 3 | inner | ||
1080.2.q.e.361.4 | 8 | 36.23 | even | 6 | |||
1080.2.q.e.721.4 | 8 | 12.11 | even | 2 | |||
2160.2.q.l.721.1 | 8 | 3.2 | odd | 2 | |||
2160.2.q.l.1441.1 | 8 | 9.5 | odd | 6 | |||
3240.2.a.s.1.1 | 4 | 36.11 | even | 6 | |||
3240.2.a.u.1.1 | 4 | 36.7 | odd | 6 | |||
6480.2.a.bz.1.4 | 4 | 9.2 | odd | 6 | |||
6480.2.a.cb.1.4 | 4 | 9.7 | even | 3 |