Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1815,2,Mod(364,1815)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1815, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1815.364");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1815 = 3 \cdot 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1815.c (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(14.4928479669\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | no (minimal twist has level 165) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 364.20 | ||
Character | \(\chi\) | \(=\) | 1815.364 |
Dual form | 1815.2.c.j.364.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1815\mathbb{Z}\right)^\times\).
\(n\) | \(727\) | \(1211\) | \(1696\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.10651i | 1.48953i | 0.667328 | + | 0.744764i | \(0.267438\pi\) | ||||
−0.667328 | + | 0.744764i | \(0.732562\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −2.43738 | −1.21869 | ||||||||
\(5\) | −0.823234 | − | 2.07901i | −0.368162 | − | 0.929762i | ||||
\(6\) | −2.10651 | −0.859979 | ||||||||
\(7\) | − | 3.31633i | − | 1.25345i | −0.779239 | − | 0.626727i | \(-0.784394\pi\) | ||
0.779239 | − | 0.626727i | \(-0.215606\pi\) | |||||||
\(8\) | − | 0.921348i | − | 0.325746i | ||||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | 4.37946 | − | 1.73415i | 1.38491 | − | 0.548387i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 2.43738i | − | 0.703611i | ||||||
\(13\) | − | 2.49889i | − | 0.693066i | −0.938038 | − | 0.346533i | \(-0.887359\pi\) | ||
0.938038 | − | 0.346533i | \(-0.112641\pi\) | |||||||
\(14\) | 6.98587 | 1.86705 | ||||||||
\(15\) | 2.07901 | − | 0.823234i | 0.536798 | − | 0.212558i | ||||
\(16\) | −2.93393 | −0.733484 | ||||||||
\(17\) | 6.81019i | 1.65171i | 0.563880 | + | 0.825857i | \(0.309308\pi\) | ||||
−0.563880 | + | 0.825857i | \(0.690692\pi\) | |||||||
\(18\) | − | 2.10651i | − | 0.496509i | ||||||
\(19\) | 1.14769 | 0.263299 | 0.131649 | − | 0.991296i | \(-0.457973\pi\) | ||||
0.131649 | + | 0.991296i | \(0.457973\pi\) | |||||||
\(20\) | 2.00654 | + | 5.06734i | 0.448675 | + | 1.13309i | ||||
\(21\) | 3.31633 | 0.723682 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 5.89026i | 1.22820i | 0.789226 | + | 0.614102i | \(0.210482\pi\) | ||||
−0.789226 | + | 0.614102i | \(0.789518\pi\) | |||||||
\(24\) | 0.921348 | 0.188069 | ||||||||
\(25\) | −3.64457 | + | 3.42303i | −0.728914 | + | 0.684605i | ||||
\(26\) | 5.26393 | 1.03234 | ||||||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 8.08315i | 1.52757i | ||||||||
\(29\) | 1.12257 | 0.208455 | 0.104228 | − | 0.994553i | \(-0.466763\pi\) | ||||
0.104228 | + | 0.994553i | \(0.466763\pi\) | |||||||
\(30\) | 1.73415 | + | 4.37946i | 0.316611 | + | 0.799575i | ||||
\(31\) | −1.09673 | −0.196978 | −0.0984892 | − | 0.995138i | \(-0.531401\pi\) | ||||
−0.0984892 | + | 0.995138i | \(0.531401\pi\) | |||||||
\(32\) | − | 8.02306i | − | 1.41829i | ||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −14.3457 | −2.46027 | ||||||||
\(35\) | −6.89468 | + | 2.73011i | −1.16541 | + | 0.461473i | ||||
\(36\) | 2.43738 | 0.406230 | ||||||||
\(37\) | 11.5389i | 1.89698i | 0.316810 | + | 0.948489i | \(0.397388\pi\) | ||||
−0.316810 | + | 0.948489i | \(0.602612\pi\) | |||||||
\(38\) | 2.41763i | 0.392191i | ||||||||
\(39\) | 2.49889 | 0.400142 | ||||||||
\(40\) | −1.91549 | + | 0.758486i | −0.302866 | + | 0.119927i | ||||
\(41\) | −0.932568 | −0.145643 | −0.0728213 | − | 0.997345i | \(-0.523200\pi\) | ||||
−0.0728213 | + | 0.997345i | \(0.523200\pi\) | |||||||
\(42\) | 6.98587i | 1.07794i | ||||||||
\(43\) | 0.552188i | 0.0842079i | 0.999113 | + | 0.0421040i | \(0.0134061\pi\) | ||||
−0.999113 | + | 0.0421040i | \(0.986594\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.823234 | + | 2.07901i | 0.122721 | + | 0.309921i | ||||
\(46\) | −12.4079 | −1.82944 | ||||||||
\(47\) | 2.13427i | 0.311316i | 0.987811 | + | 0.155658i | \(0.0497497\pi\) | ||||
−0.987811 | + | 0.155658i | \(0.950250\pi\) | |||||||
\(48\) | − | 2.93393i | − | 0.423477i | ||||||
\(49\) | −3.99802 | −0.571146 | ||||||||
\(50\) | −7.21064 | − | 7.67732i | −1.01974 | − | 1.08574i | ||||
\(51\) | −6.81019 | −0.953617 | ||||||||
\(52\) | 6.09074i | 0.844633i | ||||||||
\(53\) | 11.6356i | 1.59827i | 0.601150 | + | 0.799136i | \(0.294709\pi\) | ||||
−0.601150 | + | 0.799136i | \(0.705291\pi\) | |||||||
\(54\) | 2.10651 | 0.286660 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −3.05549 | −0.408307 | ||||||||
\(57\) | 1.14769i | 0.152016i | ||||||||
\(58\) | 2.36469i | 0.310500i | ||||||||
\(59\) | −8.39837 | −1.09337 | −0.546687 | − | 0.837337i | \(-0.684111\pi\) | ||||
−0.546687 | + | 0.837337i | \(0.684111\pi\) | |||||||
\(60\) | −5.06734 | + | 2.00654i | −0.654191 | + | 0.259043i | ||||
\(61\) | −8.21313 | −1.05158 | −0.525792 | − | 0.850613i | \(-0.676231\pi\) | ||||
−0.525792 | + | 0.850613i | \(0.676231\pi\) | |||||||
\(62\) | − | 2.31027i | − | 0.293405i | ||||||
\(63\) | 3.31633i | 0.417818i | ||||||||
\(64\) | 11.0328 | 1.37910 | ||||||||
\(65\) | −5.19521 | + | 2.05717i | −0.644386 | + | 0.255160i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.15419i | 0.507515i | 0.967268 | + | 0.253757i | \(0.0816665\pi\) | ||||
−0.967268 | + | 0.253757i | \(0.918334\pi\) | |||||||
\(68\) | − | 16.5990i | − | 2.01293i | ||||||
\(69\) | −5.89026 | −0.709104 | ||||||||
\(70\) | −5.75101 | − | 14.5237i | −0.687377 | − | 1.73591i | ||||
\(71\) | 12.5340 | 1.48752 | 0.743759 | − | 0.668448i | \(-0.233041\pi\) | ||||
0.743759 | + | 0.668448i | \(0.233041\pi\) | |||||||
\(72\) | 0.921348i | 0.108582i | ||||||||
\(73\) | − | 5.73761i | − | 0.671537i | −0.941945 | − | 0.335768i | \(-0.891004\pi\) | ||
0.941945 | − | 0.335768i | \(-0.108996\pi\) | |||||||
\(74\) | −24.3067 | −2.82560 | ||||||||
\(75\) | −3.42303 | − | 3.64457i | −0.395257 | − | 0.420839i | ||||
\(76\) | −2.79736 | −0.320880 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 5.26393i | 0.596022i | ||||||||
\(79\) | 3.86754 | 0.435132 | 0.217566 | − | 0.976046i | \(-0.430188\pi\) | ||||
0.217566 | + | 0.976046i | \(0.430188\pi\) | |||||||
\(80\) | 2.41532 | + | 6.09968i | 0.270040 | + | 0.681965i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | − | 1.96446i | − | 0.216939i | ||||||
\(83\) | − | 6.08055i | − | 0.667427i | −0.942675 | − | 0.333714i | \(-0.891698\pi\) | ||
0.942675 | − | 0.333714i | \(-0.108302\pi\) | |||||||
\(84\) | −8.08315 | −0.881944 | ||||||||
\(85\) | 14.1585 | − | 5.60638i | 1.53570 | − | 0.608097i | ||||
\(86\) | −1.16319 | −0.125430 | ||||||||
\(87\) | 1.12257i | 0.120352i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −12.5950 | −1.33506 | −0.667531 | − | 0.744582i | \(-0.732649\pi\) | ||||
−0.667531 | + | 0.744582i | \(0.732649\pi\) | |||||||
\(90\) | −4.37946 | + | 1.73415i | −0.461635 | + | 0.182796i | ||||
\(91\) | −8.28712 | −0.868726 | ||||||||
\(92\) | − | 14.3568i | − | 1.49680i | ||||||
\(93\) | − | 1.09673i | − | 0.113726i | ||||||
\(94\) | −4.49586 | −0.463713 | ||||||||
\(95\) | −0.944820 | − | 2.38607i | −0.0969365 | − | 0.244805i | ||||
\(96\) | 8.02306 | 0.818850 | ||||||||
\(97\) | 2.86873i | 0.291275i | 0.989338 | + | 0.145638i | \(0.0465234\pi\) | ||||
−0.989338 | + | 0.145638i | \(0.953477\pi\) | |||||||
\(98\) | − | 8.42187i | − | 0.850737i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.88321 | − | 8.34322i | 0.888321 | − | 0.834322i | ||||
\(101\) | 9.87001 | 0.982103 | 0.491052 | − | 0.871131i | \(-0.336613\pi\) | ||||
0.491052 | + | 0.871131i | \(0.336613\pi\) | |||||||
\(102\) | − | 14.3457i | − | 1.42044i | ||||||
\(103\) | 7.71953i | 0.760628i | 0.924857 | + | 0.380314i | \(0.124184\pi\) | ||||
−0.924857 | + | 0.380314i | \(0.875816\pi\) | |||||||
\(104\) | −2.30234 | −0.225763 | ||||||||
\(105\) | −2.73011 | − | 6.89468i | −0.266432 | − | 0.672852i | ||||
\(106\) | −24.5105 | −2.38067 | ||||||||
\(107\) | 15.5114i | 1.49954i | 0.661697 | + | 0.749771i | \(0.269837\pi\) | ||||
−0.661697 | + | 0.749771i | \(0.730163\pi\) | |||||||
\(108\) | 2.43738i | 0.234537i | ||||||||
\(109\) | −6.79834 | −0.651163 | −0.325581 | − | 0.945514i | \(-0.605560\pi\) | ||||
−0.325581 | + | 0.945514i | \(0.605560\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −11.5389 | −1.09522 | ||||||||
\(112\) | 9.72988i | 0.919388i | ||||||||
\(113\) | − | 0.301489i | − | 0.0283617i | −0.999899 | − | 0.0141808i | \(-0.995486\pi\) | ||
0.999899 | − | 0.0141808i | \(-0.00451405\pi\) | |||||||
\(114\) | −2.41763 | −0.226431 | ||||||||
\(115\) | 12.2459 | − | 4.84907i | 1.14194 | − | 0.452178i | ||||
\(116\) | −2.73612 | −0.254042 | ||||||||
\(117\) | 2.49889i | 0.231022i | ||||||||
\(118\) | − | 17.6912i | − | 1.62861i | ||||||
\(119\) | 22.5848 | 2.07035 | ||||||||
\(120\) | −0.758486 | − | 1.91549i | −0.0692399 | − | 0.174860i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | − | 17.3010i | − | 1.56636i | ||||||
\(123\) | − | 0.932568i | − | 0.0840868i | ||||||
\(124\) | 2.67315 | 0.240056 | ||||||||
\(125\) | 10.1168 | + | 4.75915i | 0.904878 | + | 0.425671i | ||||
\(126\) | −6.98587 | −0.622351 | ||||||||
\(127\) | 6.70539i | 0.595007i | 0.954721 | + | 0.297504i | \(0.0961540\pi\) | ||||
−0.954721 | + | 0.297504i | \(0.903846\pi\) | |||||||
\(128\) | 7.19453i | 0.635913i | ||||||||
\(129\) | −0.552188 | −0.0486175 | ||||||||
\(130\) | −4.33344 | − | 10.9438i | −0.380068 | − | 0.959831i | ||||
\(131\) | −8.07729 | −0.705716 | −0.352858 | − | 0.935677i | \(-0.614790\pi\) | ||||
−0.352858 | + | 0.935677i | \(0.614790\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − | 3.80612i | − | 0.330033i | ||||||
\(134\) | −8.75084 | −0.755957 | ||||||||
\(135\) | −2.07901 | + | 0.823234i | −0.178933 | + | 0.0708527i | ||||
\(136\) | 6.27456 | 0.538039 | ||||||||
\(137\) | 6.43781i | 0.550020i | 0.961441 | + | 0.275010i | \(0.0886811\pi\) | ||||
−0.961441 | + | 0.275010i | \(0.911319\pi\) | |||||||
\(138\) | − | 12.4079i | − | 1.05623i | ||||||
\(139\) | −6.97567 | −0.591669 | −0.295834 | − | 0.955239i | \(-0.595598\pi\) | ||||
−0.295834 | + | 0.955239i | \(0.595598\pi\) | |||||||
\(140\) | 16.8050 | − | 6.65433i | 1.42028 | − | 0.562393i | ||||
\(141\) | −2.13427 | −0.179738 | ||||||||
\(142\) | 26.4031i | 2.21570i | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 2.93393 | 0.244495 | ||||||||
\(145\) | −0.924135 | − | 2.33383i | −0.0767452 | − | 0.193814i | ||||
\(146\) | 12.0863 | 1.00027 | ||||||||
\(147\) | − | 3.99802i | − | 0.329751i | ||||||
\(148\) | − | 28.1246i | − | 2.31183i | ||||||
\(149\) | 19.0205 | 1.55822 | 0.779110 | − | 0.626887i | \(-0.215671\pi\) | ||||
0.779110 | + | 0.626887i | \(0.215671\pi\) | |||||||
\(150\) | 7.67732 | − | 7.21064i | 0.626851 | − | 0.588746i | ||||
\(151\) | 3.90081 | 0.317444 | 0.158722 | − | 0.987323i | \(-0.449263\pi\) | ||||
0.158722 | + | 0.987323i | \(0.449263\pi\) | |||||||
\(152\) | − | 1.05742i | − | 0.0857685i | ||||||
\(153\) | − | 6.81019i | − | 0.550571i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.902865 | + | 2.28011i | 0.0725199 | + | 0.183143i | ||||
\(156\) | −6.09074 | −0.487649 | ||||||||
\(157\) | 18.3843i | 1.46723i | 0.679568 | + | 0.733613i | \(0.262167\pi\) | ||||
−0.679568 | + | 0.733613i | \(0.737833\pi\) | |||||||
\(158\) | 8.14701i | 0.648141i | ||||||||
\(159\) | −11.6356 | −0.922763 | ||||||||
\(160\) | −16.6800 | + | 6.60486i | −1.31867 | + | 0.522160i | ||||
\(161\) | 19.5340 | 1.53950 | ||||||||
\(162\) | 2.10651i | 0.165503i | ||||||||
\(163\) | − | 17.5720i | − | 1.37635i | −0.725547 | − | 0.688173i | \(-0.758413\pi\) | ||
0.725547 | − | 0.688173i | \(-0.241587\pi\) | |||||||
\(164\) | 2.27302 | 0.177493 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.8087 | 0.994151 | ||||||||
\(167\) | 12.0777i | 0.934598i | 0.884099 | + | 0.467299i | \(0.154773\pi\) | ||||
−0.884099 | + | 0.467299i | \(0.845227\pi\) | |||||||
\(168\) | − | 3.05549i | − | 0.235736i | ||||||
\(169\) | 6.75557 | 0.519659 | ||||||||
\(170\) | 11.8099 | + | 29.8249i | 0.905778 | + | 2.28747i | ||||
\(171\) | −1.14769 | −0.0877662 | ||||||||
\(172\) | − | 1.34589i | − | 0.102623i | ||||||
\(173\) | − | 24.2436i | − | 1.84321i | −0.388133 | − | 0.921603i | \(-0.626880\pi\) | ||
0.388133 | − | 0.921603i | \(-0.373120\pi\) | |||||||
\(174\) | −2.36469 | −0.179267 | ||||||||
\(175\) | 11.3519 | + | 12.0866i | 0.858121 | + | 0.913660i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 8.39837i | − | 0.631260i | ||||||
\(178\) | − | 26.5314i | − | 1.98861i | ||||||
\(179\) | 19.9390 | 1.49031 | 0.745155 | − | 0.666891i | \(-0.232375\pi\) | ||||
0.745155 | + | 0.666891i | \(0.232375\pi\) | |||||||
\(180\) | −2.00654 | − | 5.06734i | −0.149558 | − | 0.377697i | ||||
\(181\) | −5.13290 | −0.381525 | −0.190763 | − | 0.981636i | \(-0.561096\pi\) | ||||
−0.190763 | + | 0.981636i | \(0.561096\pi\) | |||||||
\(182\) | − | 17.4569i | − | 1.29399i | ||||||
\(183\) | − | 8.21313i | − | 0.607132i | ||||||
\(184\) | 5.42698 | 0.400082 | ||||||||
\(185\) | 23.9894 | − | 9.49919i | 1.76374 | − | 0.698395i | ||||
\(186\) | 2.31027 | 0.169397 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | − | 5.20204i | − | 0.379397i | ||||||
\(189\) | −3.31633 | −0.241227 | ||||||||
\(190\) | 5.02627 | − | 1.99027i | 0.364644 | − | 0.144390i | ||||
\(191\) | −2.81336 | −0.203568 | −0.101784 | − | 0.994807i | \(-0.532455\pi\) | ||||
−0.101784 | + | 0.994807i | \(0.532455\pi\) | |||||||
\(192\) | 11.0328i | 0.796222i | ||||||||
\(193\) | − | 19.3032i | − | 1.38948i | −0.719263 | − | 0.694738i | \(-0.755520\pi\) | ||
0.719263 | − | 0.694738i | \(-0.244480\pi\) | |||||||
\(194\) | −6.04300 | −0.433862 | ||||||||
\(195\) | −2.05717 | − | 5.19521i | −0.147317 | − | 0.372037i | ||||
\(196\) | 9.74470 | 0.696050 | ||||||||
\(197\) | − | 3.57956i | − | 0.255033i | −0.991836 | − | 0.127516i | \(-0.959299\pi\) | ||
0.991836 | − | 0.127516i | \(-0.0407006\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.7087 | −0.900893 | −0.450447 | − | 0.892803i | \(-0.648735\pi\) | ||||
−0.450447 | + | 0.892803i | \(0.648735\pi\) | |||||||
\(200\) | 3.15380 | + | 3.35792i | 0.223007 | + | 0.237441i | ||||
\(201\) | −4.15419 | −0.293014 | ||||||||
\(202\) | 20.7913i | 1.46287i | ||||||||
\(203\) | − | 3.72279i | − | 0.261289i | ||||||
\(204\) | 16.5990 | 1.16216 | ||||||||
\(205\) | 0.767722 | + | 1.93882i | 0.0536200 | + | 0.135413i | ||||
\(206\) | −16.2613 | −1.13298 | ||||||||
\(207\) | − | 5.89026i | − | 0.409401i | ||||||
\(208\) | 7.33157i | 0.508353i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 14.5237 | − | 5.75101i | 1.00223 | − | 0.396857i | ||||
\(211\) | −3.49518 | −0.240618 | −0.120309 | − | 0.992736i | \(-0.538389\pi\) | ||||
−0.120309 | + | 0.992736i | \(0.538389\pi\) | |||||||
\(212\) | − | 28.3604i | − | 1.94780i | ||||||
\(213\) | 12.5340i | 0.858819i | ||||||||
\(214\) | −32.6749 | −2.23361 | ||||||||
\(215\) | 1.14801 | − | 0.454581i | 0.0782933 | − | 0.0310021i | ||||
\(216\) | −0.921348 | −0.0626898 | ||||||||
\(217\) | 3.63711i | 0.246903i | ||||||||
\(218\) | − | 14.3208i | − | 0.969925i | ||||||
\(219\) | 5.73761 | 0.387712 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 17.0179 | 1.14475 | ||||||||
\(222\) | − | 24.3067i | − | 1.63136i | ||||||
\(223\) | − | 5.20558i | − | 0.348591i | −0.984693 | − | 0.174296i | \(-0.944235\pi\) | ||
0.984693 | − | 0.174296i | \(-0.0557648\pi\) | |||||||
\(224\) | −26.6071 | −1.77776 | ||||||||
\(225\) | 3.64457 | − | 3.42303i | 0.242971 | − | 0.228202i | ||||
\(226\) | 0.635089 | 0.0422455 | ||||||||
\(227\) | 9.70244i | 0.643973i | 0.946744 | + | 0.321987i | \(0.104351\pi\) | ||||
−0.946744 | + | 0.321987i | \(0.895649\pi\) | |||||||
\(228\) | − | 2.79736i | − | 0.185260i | ||||||
\(229\) | −18.5011 | −1.22259 | −0.611293 | − | 0.791404i | \(-0.709350\pi\) | ||||
−0.611293 | + | 0.791404i | \(0.709350\pi\) | |||||||
\(230\) | 10.2146 | + | 25.7961i | 0.673531 | + | 1.70095i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 1.03427i | − | 0.0679034i | ||||||
\(233\) | 14.9543i | 0.979692i | 0.871809 | + | 0.489846i | \(0.162947\pi\) | ||||
−0.871809 | + | 0.489846i | \(0.837053\pi\) | |||||||
\(234\) | −5.26393 | −0.344114 | ||||||||
\(235\) | 4.43717 | − | 1.75701i | 0.289449 | − | 0.114614i | ||||
\(236\) | 20.4700 | 1.33249 | ||||||||
\(237\) | 3.86754i | 0.251224i | ||||||||
\(238\) | 47.5751i | 3.08384i | ||||||||
\(239\) | 1.50716 | 0.0974901 | 0.0487451 | − | 0.998811i | \(-0.484478\pi\) | ||||
0.0487451 | + | 0.998811i | \(0.484478\pi\) | |||||||
\(240\) | −6.09968 | + | 2.41532i | −0.393733 | + | 0.155908i | ||||
\(241\) | −7.09571 | −0.457075 | −0.228537 | − | 0.973535i | \(-0.573394\pi\) | ||||
−0.228537 | + | 0.973535i | \(0.573394\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 20.0185 | 1.28156 | ||||||||
\(245\) | 3.29131 | + | 8.31193i | 0.210274 | + | 0.531029i | ||||
\(246\) | 1.96446 | 0.125250 | ||||||||
\(247\) | − | 2.86795i | − | 0.182483i | ||||||
\(248\) | 1.01047i | 0.0641649i | ||||||||
\(249\) | 6.08055 | 0.385339 | ||||||||
\(250\) | −10.0252 | + | 21.3112i | −0.634049 | + | 1.34784i | ||||
\(251\) | −13.6786 | −0.863386 | −0.431693 | − | 0.902021i | \(-0.642084\pi\) | ||||
−0.431693 | + | 0.902021i | \(0.642084\pi\) | |||||||
\(252\) | − | 8.08315i | − | 0.509191i | ||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | −14.1250 | −0.886279 | ||||||||
\(255\) | 5.60638 | + | 14.1585i | 0.351085 | + | 0.886637i | ||||
\(256\) | 6.91021 | 0.431888 | ||||||||
\(257\) | − | 8.30411i | − | 0.517996i | −0.965878 | − | 0.258998i | \(-0.916608\pi\) | ||
0.965878 | − | 0.258998i | \(-0.0833924\pi\) | |||||||
\(258\) | − | 1.16319i | − | 0.0724171i | ||||||
\(259\) | 38.2667 | 2.37777 | ||||||||
\(260\) | 12.6627 | − | 5.01410i | 0.785308 | − | 0.310962i | ||||
\(261\) | −1.12257 | −0.0694851 | ||||||||
\(262\) | − | 17.0149i | − | 1.05118i | ||||||
\(263\) | − | 11.1345i | − | 0.686582i | −0.939229 | − | 0.343291i | \(-0.888458\pi\) | ||
0.939229 | − | 0.343291i | \(-0.111542\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 24.1905 | − | 9.57882i | 1.48601 | − | 0.588422i | ||||
\(266\) | 8.01763 | 0.491593 | ||||||||
\(267\) | − | 12.5950i | − | 0.770799i | ||||||
\(268\) | − | 10.1253i | − | 0.618504i | ||||||
\(269\) | −22.7563 | −1.38748 | −0.693739 | − | 0.720227i | \(-0.744038\pi\) | ||||
−0.693739 | + | 0.720227i | \(0.744038\pi\) | |||||||
\(270\) | −1.73415 | − | 4.37946i | −0.105537 | − | 0.266525i | ||||
\(271\) | 7.79448 | 0.473481 | 0.236740 | − | 0.971573i | \(-0.423921\pi\) | ||||
0.236740 | + | 0.971573i | \(0.423921\pi\) | |||||||
\(272\) | − | 19.9806i | − | 1.21150i | ||||||
\(273\) | − | 8.28712i | − | 0.501559i | ||||||
\(274\) | −13.5613 | −0.819269 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 14.3568 | 0.864179 | ||||||||
\(277\) | 9.46719i | 0.568828i | 0.958702 | + | 0.284414i | \(0.0917991\pi\) | ||||
−0.958702 | + | 0.284414i | \(0.908201\pi\) | |||||||
\(278\) | − | 14.6943i | − | 0.881307i | ||||||
\(279\) | 1.09673 | 0.0656595 | ||||||||
\(280\) | 2.51539 | + | 6.35240i | 0.150323 | + | 0.379628i | ||||
\(281\) | 31.3016 | 1.86729 | 0.933647 | − | 0.358194i | \(-0.116607\pi\) | ||||
0.933647 | + | 0.358194i | \(0.116607\pi\) | |||||||
\(282\) | − | 4.49586i | − | 0.267725i | ||||||
\(283\) | 24.4123i | 1.45116i | 0.688136 | + | 0.725581i | \(0.258429\pi\) | ||||
−0.688136 | + | 0.725581i | \(0.741571\pi\) | |||||||
\(284\) | −30.5503 | −1.81282 | ||||||||
\(285\) | 2.38607 | − | 0.944820i | 0.141338 | − | 0.0559663i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 3.09270i | 0.182556i | ||||||||
\(288\) | 8.02306i | 0.472763i | ||||||||
\(289\) | −29.3787 | −1.72816 | ||||||||
\(290\) | 4.91623 | − | 1.94670i | 0.288691 | − | 0.114314i | ||||
\(291\) | −2.86873 | −0.168168 | ||||||||
\(292\) | 13.9847i | 0.818395i | ||||||||
\(293\) | − | 11.8197i | − | 0.690512i | −0.938509 | − | 0.345256i | \(-0.887792\pi\) | ||
0.938509 | − | 0.345256i | \(-0.112208\pi\) | |||||||
\(294\) | 8.42187 | 0.491173 | ||||||||
\(295\) | 6.91383 | + | 17.4603i | 0.402539 | + | 1.01658i | ||||
\(296\) | 10.6313 | 0.617933 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 40.0669i | 2.32101i | ||||||||
\(299\) | 14.7191 | 0.851227 | ||||||||
\(300\) | 8.34322 | + | 8.88321i | 0.481696 | + | 0.512872i | ||||
\(301\) | 1.83124 | 0.105551 | ||||||||
\(302\) | 8.21710i | 0.472841i | ||||||||
\(303\) | 9.87001i | 0.567018i | ||||||||
\(304\) | −3.36725 | −0.193125 | ||||||||
\(305\) | 6.76133 | + | 17.0752i | 0.387153 | + | 0.977723i | ||||
\(306\) | 14.3457 | 0.820091 | ||||||||
\(307\) | 22.3217i | 1.27396i | 0.770878 | + | 0.636982i | \(0.219818\pi\) | ||||
−0.770878 | + | 0.636982i | \(0.780182\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7.71953 | −0.439149 | ||||||||
\(310\) | −4.80308 | + | 1.90189i | −0.272796 | + | 0.108020i | ||||
\(311\) | −19.4834 | −1.10480 | −0.552401 | − | 0.833578i | \(-0.686288\pi\) | ||||
−0.552401 | + | 0.833578i | \(0.686288\pi\) | |||||||
\(312\) | − | 2.30234i | − | 0.130345i | ||||||
\(313\) | − | 17.3527i | − | 0.980833i | −0.871488 | − | 0.490416i | \(-0.836845\pi\) | ||
0.871488 | − | 0.490416i | \(-0.163155\pi\) | |||||||
\(314\) | −38.7267 | −2.18547 | ||||||||
\(315\) | 6.89468 | − | 2.73011i | 0.388471 | − | 0.153824i | ||||
\(316\) | −9.42667 | −0.530292 | ||||||||
\(317\) | 0.830717i | 0.0466577i | 0.999728 | + | 0.0233289i | \(0.00742648\pi\) | ||||
−0.999728 | + | 0.0233289i | \(0.992574\pi\) | |||||||
\(318\) | − | 24.5105i | − | 1.37448i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −9.08256 | − | 22.9373i | −0.507731 | − | 1.28223i | ||||
\(321\) | −15.5114 | −0.865762 | ||||||||
\(322\) | 41.1486i | 2.29312i | ||||||||
\(323\) | 7.81600i | 0.434894i | ||||||||
\(324\) | −2.43738 | −0.135410 | ||||||||
\(325\) | 8.55375 | + | 9.10736i | 0.474477 | + | 0.505186i | ||||
\(326\) | 37.0156 | 2.05010 | ||||||||
\(327\) | − | 6.79834i | − | 0.375949i | ||||||
\(328\) | 0.859219i | 0.0474425i | ||||||||
\(329\) | 7.07794 | 0.390220 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −31.5311 | −1.73311 | −0.866554 | − | 0.499084i | \(-0.833670\pi\) | ||||
−0.866554 | + | 0.499084i | \(0.833670\pi\) | |||||||
\(332\) | 14.8206i | 0.813387i | ||||||||
\(333\) | − | 11.5389i | − | 0.632326i | ||||||
\(334\) | −25.4417 | −1.39211 | ||||||||
\(335\) | 8.63660 | − | 3.41987i | 0.471868 | − | 0.186847i | ||||
\(336\) | −9.72988 | −0.530809 | ||||||||
\(337\) | − | 16.2339i | − | 0.884319i | −0.896936 | − | 0.442160i | \(-0.854212\pi\) | ||
0.896936 | − | 0.442160i | \(-0.145788\pi\) | |||||||
\(338\) | 14.2307i | 0.774047i | ||||||||
\(339\) | 0.301489 | 0.0163746 | ||||||||
\(340\) | −34.5096 | + | 13.6649i | −1.87154 | + | 0.741083i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | − | 2.41763i | − | 0.130730i | ||||||
\(343\) | − | 9.95555i | − | 0.537549i | ||||||
\(344\) | 0.508758 | 0.0274304 | ||||||||
\(345\) | 4.84907 | + | 12.2459i | 0.261065 | + | 0.659298i | ||||
\(346\) | 51.0694 | 2.74551 | ||||||||
\(347\) | − | 12.4500i | − | 0.668350i | −0.942511 | − | 0.334175i | \(-0.891542\pi\) | ||
0.942511 | − | 0.334175i | \(-0.108458\pi\) | |||||||
\(348\) | − | 2.73612i | − | 0.146671i | ||||||
\(349\) | −32.6297 | −1.74663 | −0.873314 | − | 0.487157i | \(-0.838034\pi\) | ||||
−0.873314 | + | 0.487157i | \(0.838034\pi\) | |||||||
\(350\) | −25.4605 | + | 23.9128i | −1.36092 | + | 1.27819i | ||||
\(351\) | −2.49889 | −0.133381 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 15.7921i | 0.840530i | 0.907402 | + | 0.420265i | \(0.138063\pi\) | ||||
−0.907402 | + | 0.420265i | \(0.861937\pi\) | |||||||
\(354\) | 17.6912 | 0.940279 | ||||||||
\(355\) | −10.3185 | − | 26.0584i | −0.547647 | − | 1.38304i | ||||
\(356\) | 30.6987 | 1.62703 | ||||||||
\(357\) | 22.5848i | 1.19531i | ||||||||
\(358\) | 42.0017i | 2.21986i | ||||||||
\(359\) | −18.1622 | −0.958563 | −0.479282 | − | 0.877661i | \(-0.659103\pi\) | ||||
−0.479282 | + | 0.877661i | \(0.659103\pi\) | |||||||
\(360\) | 1.91549 | − | 0.758486i | 0.100955 | − | 0.0399757i | ||||
\(361\) | −17.6828 | −0.930674 | ||||||||
\(362\) | − | 10.8125i | − | 0.568292i | ||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 20.1989 | 1.05871 | ||||||||
\(365\) | −11.9286 | + | 4.72340i | −0.624369 | + | 0.247234i | ||||
\(366\) | 17.3010 | 0.904340 | ||||||||
\(367\) | − | 0.472046i | − | 0.0246406i | −0.999924 | − | 0.0123203i | \(-0.996078\pi\) | ||
0.999924 | − | 0.0123203i | \(-0.00392177\pi\) | |||||||
\(368\) | − | 17.2816i | − | 0.900868i | ||||||
\(369\) | 0.932568 | 0.0485475 | ||||||||
\(370\) | 20.0101 | + | 50.5340i | 1.04028 | + | 2.62714i | ||||
\(371\) | 38.5874 | 2.00336 | ||||||||
\(372\) | 2.67315i | 0.138596i | ||||||||
\(373\) | − | 15.4102i | − | 0.797910i | −0.916970 | − | 0.398955i | \(-0.869373\pi\) | ||
0.916970 | − | 0.398955i | \(-0.130627\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −4.75915 | + | 10.1168i | −0.245761 | + | 0.522432i | ||||
\(376\) | 1.96641 | 0.101410 | ||||||||
\(377\) | − | 2.80516i | − | 0.144473i | ||||||
\(378\) | − | 6.98587i | − | 0.359314i | ||||||
\(379\) | 19.2746 | 0.990068 | 0.495034 | − | 0.868874i | \(-0.335156\pi\) | ||||
0.495034 | + | 0.868874i | \(0.335156\pi\) | |||||||
\(380\) | 2.30289 | + | 5.81575i | 0.118136 | + | 0.298342i | ||||
\(381\) | −6.70539 | −0.343527 | ||||||||
\(382\) | − | 5.92637i | − | 0.303220i | ||||||
\(383\) | 7.44824i | 0.380587i | 0.981727 | + | 0.190294i | \(0.0609440\pi\) | ||||
−0.981727 | + | 0.190294i | \(0.939056\pi\) | |||||||
\(384\) | −7.19453 | −0.367144 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 40.6624 | 2.06966 | ||||||||
\(387\) | − | 0.552188i | − | 0.0280693i | ||||||
\(388\) | − | 6.99218i | − | 0.354974i | ||||||
\(389\) | 0.713819 | 0.0361921 | 0.0180960 | − | 0.999836i | \(-0.494240\pi\) | ||||
0.0180960 | + | 0.999836i | \(0.494240\pi\) | |||||||
\(390\) | 10.9438 | − | 4.33344i | 0.554159 | − | 0.219432i | ||||
\(391\) | −40.1138 | −2.02864 | ||||||||
\(392\) | 3.68357i | 0.186048i | ||||||||
\(393\) | − | 8.07729i | − | 0.407446i | ||||||
\(394\) | 7.54037 | 0.379878 | ||||||||
\(395\) | −3.18389 | − | 8.04066i | −0.160199 | − | 0.404569i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 0.764171i | − | 0.0383526i | −0.999816 | − | 0.0191763i | \(-0.993896\pi\) | ||
0.999816 | − | 0.0191763i | \(-0.00610438\pi\) | |||||||
\(398\) | − | 26.7709i | − | 1.34191i | ||||||
\(399\) | 3.80612 | 0.190544 | ||||||||
\(400\) | 10.6929 | − | 10.0429i | 0.534646 | − | 0.502147i | ||||
\(401\) | −15.7544 | −0.786740 | −0.393370 | − | 0.919380i | \(-0.628691\pi\) | ||||
−0.393370 | + | 0.919380i | \(0.628691\pi\) | |||||||
\(402\) | − | 8.75084i | − | 0.436452i | ||||||
\(403\) | 2.74060i | 0.136519i | ||||||||
\(404\) | −24.0570 | −1.19688 | ||||||||
\(405\) | −0.823234 | − | 2.07901i | −0.0409068 | − | 0.103307i | ||||
\(406\) | 7.84210 | 0.389197 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 6.27456i | 0.310637i | ||||||||
\(409\) | 2.62100 | 0.129600 | 0.0648001 | − | 0.997898i | \(-0.479359\pi\) | ||||
0.0648001 | + | 0.997898i | \(0.479359\pi\) | |||||||
\(410\) | −4.08414 | + | 1.61721i | −0.201701 | + | 0.0798684i | ||||
\(411\) | −6.43781 | −0.317554 | ||||||||
\(412\) | − | 18.8154i | − | 0.926970i | ||||||
\(413\) | 27.8517i | 1.37049i | ||||||||
\(414\) | 12.4079 | 0.609815 | ||||||||
\(415\) | −12.6415 | + | 5.00572i | −0.620548 | + | 0.245721i | ||||
\(416\) | −20.0487 | −0.982968 | ||||||||
\(417\) | − | 6.97567i | − | 0.341600i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 18.0078 | 0.879737 | 0.439868 | − | 0.898062i | \(-0.355025\pi\) | ||||
0.439868 | + | 0.898062i | \(0.355025\pi\) | |||||||
\(420\) | 6.65433 | + | 16.8050i | 0.324698 | + | 0.819998i | ||||
\(421\) | 1.17117 | 0.0570792 | 0.0285396 | − | 0.999593i | \(-0.490914\pi\) | ||||
0.0285396 | + | 0.999593i | \(0.490914\pi\) | |||||||
\(422\) | − | 7.36264i | − | 0.358408i | ||||||
\(423\) | − | 2.13427i | − | 0.103772i | ||||||
\(424\) | 10.7204 | 0.520630 | ||||||||
\(425\) | −23.3115 | − | 24.8202i | −1.13077 | − | 1.20396i | ||||
\(426\) | −26.4031 | −1.27923 | ||||||||
\(427\) | 27.2374i | 1.31811i | ||||||||
\(428\) | − | 37.8072i | − | 1.82748i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.957578 | + | 2.41828i | 0.0461785 | + | 0.116620i | ||||
\(431\) | 35.0921 | 1.69033 | 0.845163 | − | 0.534508i | \(-0.179503\pi\) | ||||
0.845163 | + | 0.534508i | \(0.179503\pi\) | |||||||
\(432\) | 2.93393i | 0.141159i | ||||||||
\(433\) | − | 18.2260i | − | 0.875888i | −0.899002 | − | 0.437944i | \(-0.855707\pi\) | ||
0.899002 | − | 0.437944i | \(-0.144293\pi\) | |||||||
\(434\) | −7.66161 | −0.367769 | ||||||||
\(435\) | 2.33383 | − | 0.924135i | 0.111898 | − | 0.0443089i | ||||
\(436\) | 16.5701 | 0.793566 | ||||||||
\(437\) | 6.76021i | 0.323385i | ||||||||
\(438\) | 12.0863i | 0.577507i | ||||||||
\(439\) | 19.8155 | 0.945743 | 0.472871 | − | 0.881131i | \(-0.343218\pi\) | ||||
0.472871 | + | 0.881131i | \(0.343218\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 3.99802 | 0.190382 | ||||||||
\(442\) | 35.8483i | 1.70513i | ||||||||
\(443\) | 16.6884i | 0.792892i | 0.918058 | + | 0.396446i | \(0.129757\pi\) | ||||
−0.918058 | + | 0.396446i | \(0.870243\pi\) | |||||||
\(444\) | 28.1246 | 1.33474 | ||||||||
\(445\) | 10.3686 | + | 26.1850i | 0.491519 | + | 1.24129i | ||||
\(446\) | 10.9656 | 0.519236 | ||||||||
\(447\) | 19.0205i | 0.899639i | ||||||||
\(448\) | − | 36.5883i | − | 1.72863i | ||||||
\(449\) | 13.1971 | 0.622808 | 0.311404 | − | 0.950278i | \(-0.399201\pi\) | ||||
0.311404 | + | 0.950278i | \(0.399201\pi\) | |||||||
\(450\) | 7.21064 | + | 7.67732i | 0.339913 | + | 0.361912i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0.734843i | 0.0345641i | ||||||||
\(453\) | 3.90081i | 0.183276i | ||||||||
\(454\) | −20.4383 | −0.959216 | ||||||||
\(455\) | 6.82224 | + | 17.2290i | 0.319832 | + | 0.807708i | ||||
\(456\) | 1.05742 | 0.0495184 | ||||||||
\(457\) | − | 21.2673i | − | 0.994840i | −0.867510 | − | 0.497420i | \(-0.834281\pi\) | ||
0.867510 | − | 0.497420i | \(-0.165719\pi\) | |||||||
\(458\) | − | 38.9727i | − | 1.82107i | ||||||
\(459\) | 6.81019 | 0.317872 | ||||||||
\(460\) | −29.8480 | + | 11.8190i | −1.39167 | + | 0.551065i | ||||
\(461\) | −20.0772 | −0.935086 | −0.467543 | − | 0.883970i | \(-0.654861\pi\) | ||||
−0.467543 | + | 0.883970i | \(0.654861\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 0.962526i | − | 0.0447324i | −0.999750 | − | 0.0223662i | \(-0.992880\pi\) | ||
0.999750 | − | 0.0223662i | \(-0.00711997\pi\) | |||||||
\(464\) | −3.29353 | −0.152898 | ||||||||
\(465\) | −2.28011 | + | 0.902865i | −0.105738 | + | 0.0418694i | ||||
\(466\) | −31.5015 | −1.45928 | ||||||||
\(467\) | 14.9130i | 0.690092i | 0.938586 | + | 0.345046i | \(0.112137\pi\) | ||||
−0.938586 | + | 0.345046i | \(0.887863\pi\) | |||||||
\(468\) | − | 6.09074i | − | 0.281544i | ||||||
\(469\) | 13.7766 | 0.636146 | ||||||||
\(470\) | 3.70115 | + | 9.34695i | 0.170721 | + | 0.431143i | ||||
\(471\) | −18.3843 | −0.847103 | ||||||||
\(472\) | 7.73783i | 0.356162i | ||||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −8.14701 | −0.374204 | ||||||||
\(475\) | −4.18285 | + | 3.92858i | −0.191922 | + | 0.180256i | ||||
\(476\) | −55.0478 | −2.52311 | ||||||||
\(477\) | − | 11.6356i | − | 0.532757i | ||||||
\(478\) | 3.17485i | 0.145214i | ||||||||
\(479\) | 0.475527 | 0.0217274 | 0.0108637 | − | 0.999941i | \(-0.496542\pi\) | ||||
0.0108637 | + | 0.999941i | \(0.496542\pi\) | |||||||
\(480\) | −6.60486 | − | 16.6800i | −0.301469 | − | 0.761335i | ||||
\(481\) | 28.8343 | 1.31473 | ||||||||
\(482\) | − | 14.9472i | − | 0.680825i | ||||||
\(483\) | 19.5340i | 0.888829i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.96412 | − | 2.36164i | 0.270817 | − | 0.107236i | ||||
\(486\) | −2.10651 | −0.0955532 | ||||||||
\(487\) | 35.3529i | 1.60199i | 0.598668 | + | 0.800997i | \(0.295697\pi\) | ||||
−0.598668 | + | 0.800997i | \(0.704303\pi\) | |||||||
\(488\) | 7.56716i | 0.342549i | ||||||||
\(489\) | 17.5720 | 0.794634 | ||||||||
\(490\) | −17.5091 | + | 6.93317i | −0.790983 | + | 0.313209i | ||||
\(491\) | −30.1328 | −1.35987 | −0.679937 | − | 0.733271i | \(-0.737993\pi\) | ||||
−0.679937 | + | 0.733271i | \(0.737993\pi\) | |||||||
\(492\) | 2.27302i | 0.102476i | ||||||||
\(493\) | 7.64488i | 0.344308i | ||||||||
\(494\) | 6.04137 | 0.271814 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 3.21773 | 0.144480 | ||||||||
\(497\) | − | 41.5670i | − | 1.86453i | ||||||
\(498\) | 12.8087i | 0.573973i | ||||||||
\(499\) | 36.4797 | 1.63306 | 0.816528 | − | 0.577305i | \(-0.195896\pi\) | ||||
0.816528 | + | 0.577305i | \(0.195896\pi\) | |||||||
\(500\) | −24.6586 | − | 11.5999i | −1.10277 | − | 0.518761i | ||||
\(501\) | −12.0777 | −0.539590 | ||||||||
\(502\) | − | 28.8141i | − | 1.28604i | ||||||
\(503\) | 15.4251i | 0.687772i | 0.939011 | + | 0.343886i | \(0.111743\pi\) | ||||
−0.939011 | + | 0.343886i | \(0.888257\pi\) | |||||||
\(504\) | 3.05549 | 0.136102 | ||||||||
\(505\) | −8.12534 | − | 20.5199i | −0.361573 | − | 0.913122i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 6.75557i | 0.300025i | ||||||||
\(508\) | − | 16.3436i | − | 0.725130i | ||||||
\(509\) | −12.6374 | −0.560142 | −0.280071 | − | 0.959979i | \(-0.590358\pi\) | ||||
−0.280071 | + | 0.959979i | \(0.590358\pi\) | |||||||
\(510\) | −29.8249 | + | 11.8099i | −1.32067 | + | 0.522951i | ||||
\(511\) | −19.0278 | −0.841740 | ||||||||
\(512\) | 28.9455i | 1.27922i | ||||||||
\(513\) | − | 1.14769i | − | 0.0506719i | ||||||
\(514\) | 17.4927 | 0.771570 | ||||||||
\(515\) | 16.0490 | − | 6.35498i | 0.707203 | − | 0.280034i | ||||
\(516\) | 1.34589 | 0.0592497 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 80.6091i | 3.54176i | ||||||||
\(519\) | 24.2436 | 1.06418 | ||||||||
\(520\) | 1.89537 | + | 4.78660i | 0.0831174 | + | 0.209906i | ||||
\(521\) | −9.18439 | −0.402376 | −0.201188 | − | 0.979553i | \(-0.564480\pi\) | ||||
−0.201188 | + | 0.979553i | \(0.564480\pi\) | |||||||
\(522\) | − | 2.36469i | − | 0.103500i | ||||||
\(523\) | 33.5841i | 1.46853i | 0.678863 | + | 0.734265i | \(0.262473\pi\) | ||||
−0.678863 | + | 0.734265i | \(0.737527\pi\) | |||||||
\(524\) | 19.6874 | 0.860050 | ||||||||
\(525\) | −12.0866 | + | 11.3519i | −0.527502 | + | 0.495436i | ||||
\(526\) | 23.4549 | 1.02268 | ||||||||
\(527\) | − | 7.46893i | − | 0.325352i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −11.6952 | −0.508486 | ||||||||
\(530\) | 20.1779 | + | 50.9576i | 0.876471 | + | 2.21346i | ||||
\(531\) | 8.39837 | 0.364458 | ||||||||
\(532\) | 9.27697i | 0.402208i | ||||||||
\(533\) | 2.33038i | 0.100940i | ||||||||
\(534\) | 26.5314 | 1.14813 | ||||||||
\(535\) | 32.2484 | − | 12.7695i | 1.39422 | − | 0.552074i | ||||
\(536\) | 3.82745 | 0.165321 | ||||||||
\(537\) | 19.9390i | 0.860431i | ||||||||
\(538\) | − | 47.9364i | − | 2.06669i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 5.06734 | − | 2.00654i | 0.218064 | − | 0.0863476i | ||||
\(541\) | 44.6024 | 1.91761 | 0.958803 | − | 0.284072i | \(-0.0916855\pi\) | ||||
0.958803 | + | 0.284072i | \(0.0916855\pi\) | |||||||
\(542\) | 16.4191i | 0.705262i | ||||||||
\(543\) | − | 5.13290i | − | 0.220274i | ||||||
\(544\) | 54.6385 | 2.34261 | ||||||||
\(545\) | 5.59663 | + | 14.1338i | 0.239733 | + | 0.605426i | ||||
\(546\) | 17.4569 | 0.747086 | ||||||||
\(547\) | − | 19.2310i | − | 0.822256i | −0.911578 | − | 0.411128i | \(-0.865135\pi\) | ||
0.911578 | − | 0.411128i | \(-0.134865\pi\) | |||||||
\(548\) | − | 15.6914i | − | 0.670304i | ||||||
\(549\) | 8.21313 | 0.350528 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.28836 | 0.0548860 | ||||||||
\(552\) | 5.42698i | 0.230988i | ||||||||
\(553\) | − | 12.8260i | − | 0.545418i | ||||||
\(554\) | −19.9427 | −0.847285 | ||||||||
\(555\) | 9.49919 | + | 23.9894i | 0.403218 | + | 1.01829i | ||||
\(556\) | 17.0024 | 0.721061 | ||||||||
\(557\) | 33.3669i | 1.41380i | 0.707314 | + | 0.706900i | \(0.249907\pi\) | ||||
−0.707314 | + | 0.706900i | \(0.750093\pi\) | |||||||
\(558\) | 2.31027i | 0.0978016i | ||||||||
\(559\) | 1.37986 | 0.0583617 | ||||||||
\(560\) | 20.2285 | − | 8.00997i | 0.854811 | − | 0.338483i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 65.9370i | 2.78139i | ||||||||
\(563\) | − | 2.09215i | − | 0.0881735i | −0.999028 | − | 0.0440868i | \(-0.985962\pi\) | ||
0.999028 | − | 0.0440868i | \(-0.0140378\pi\) | |||||||
\(564\) | 5.20204 | 0.219045 | ||||||||
\(565\) | −0.626798 | + | 0.248196i | −0.0263696 | + | 0.0104417i | ||||
\(566\) | −51.4248 | −2.16155 | ||||||||
\(567\) | − | 3.31633i | − | 0.139273i | ||||||
\(568\) | − | 11.5482i | − | 0.484553i | ||||||
\(569\) | 9.31615 | 0.390553 | 0.195277 | − | 0.980748i | \(-0.437439\pi\) | ||||
0.195277 | + | 0.980748i | \(0.437439\pi\) | |||||||
\(570\) | 1.99027 | + | 5.02627i | 0.0833633 | + | 0.210527i | ||||
\(571\) | 2.32989 | 0.0975029 | 0.0487514 | − | 0.998811i | \(-0.484476\pi\) | ||||
0.0487514 | + | 0.998811i | \(0.484476\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | − | 2.81336i | − | 0.117530i | ||||||
\(574\) | −6.51480 | −0.271922 | ||||||||
\(575\) | −20.1625 | − | 21.4675i | −0.840835 | − | 0.895255i | ||||
\(576\) | −11.0328 | −0.459699 | ||||||||
\(577\) | − | 29.4627i | − | 1.22655i | −0.789869 | − | 0.613275i | \(-0.789852\pi\) | ||
0.789869 | − | 0.613275i | \(-0.210148\pi\) | |||||||
\(578\) | − | 61.8864i | − | 2.57414i | ||||||
\(579\) | 19.3032 | 0.802214 | ||||||||
\(580\) | 2.25247 | + | 5.68842i | 0.0935287 | + | 0.236199i | ||||
\(581\) | −20.1651 | −0.836589 | ||||||||
\(582\) | − | 6.04300i | − | 0.250491i | ||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −5.28634 | −0.218750 | ||||||||
\(585\) | 5.19521 | − | 2.05717i | 0.214795 | − | 0.0850534i | ||||
\(586\) | 24.8982 | 1.02854 | ||||||||
\(587\) | − | 41.5167i | − | 1.71358i | −0.515667 | − | 0.856789i | \(-0.672456\pi\) | ||
0.515667 | − | 0.856789i | \(-0.327544\pi\) | |||||||
\(588\) | 9.74470i | 0.401865i | ||||||||
\(589\) | −1.25871 | −0.0518642 | ||||||||
\(590\) | −36.7803 | + | 14.5640i | −1.51422 | + | 0.599592i | ||||
\(591\) | 3.57956 | 0.147243 | ||||||||
\(592\) | − | 33.8543i | − | 1.39140i | ||||||
\(593\) | 9.36964i | 0.384765i | 0.981320 | + | 0.192383i | \(0.0616214\pi\) | ||||
−0.981320 | + | 0.192383i | \(0.938379\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −18.5926 | − | 46.9541i | −0.762222 | − | 1.92493i | ||||
\(596\) | −46.3602 | −1.89899 | ||||||||
\(597\) | − | 12.7087i | − | 0.520131i | ||||||
\(598\) | 31.0059i | 1.26793i | ||||||||
\(599\) | −1.31702 | −0.0538122 | −0.0269061 | − | 0.999638i | \(-0.508566\pi\) | ||||
−0.0269061 | + | 0.999638i | \(0.508566\pi\) | |||||||
\(600\) | −3.35792 | + | 3.15380i | −0.137086 | + | 0.128753i | ||||
\(601\) | 15.6267 | 0.637425 | 0.318713 | − | 0.947851i | \(-0.396750\pi\) | ||||
0.318713 | + | 0.947851i | \(0.396750\pi\) | |||||||
\(602\) | 3.85752i | 0.157221i | ||||||||
\(603\) | − | 4.15419i | − | 0.169172i | ||||||
\(604\) | −9.50777 | −0.386866 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −20.7913 | −0.844588 | ||||||||
\(607\) | 24.2123i | 0.982746i | 0.870949 | + | 0.491373i | \(0.163505\pi\) | ||||
−0.870949 | + | 0.491373i | \(0.836495\pi\) | |||||||
\(608\) | − | 9.20800i | − | 0.373434i | ||||||
\(609\) | 3.72279 | 0.150855 | ||||||||
\(610\) | −35.9691 | + | 14.2428i | −1.45634 | + | 0.576675i | ||||
\(611\) | 5.33330 | 0.215762 | ||||||||
\(612\) | 16.5990i | 0.670976i | ||||||||
\(613\) | − | 4.08630i | − | 0.165044i | −0.996589 | − | 0.0825221i | \(-0.973702\pi\) | ||
0.996589 | − | 0.0825221i | \(-0.0262975\pi\) | |||||||
\(614\) | −47.0208 | −1.89760 | ||||||||
\(615\) | −1.93882 | + | 0.767722i | −0.0781807 | + | 0.0309575i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 16.9835i | 0.683731i | 0.939749 | + | 0.341866i | \(0.111059\pi\) | ||||
−0.939749 | + | 0.341866i | \(0.888941\pi\) | |||||||
\(618\) | − | 16.2613i | − | 0.654124i | ||||||
\(619\) | 32.1306 | 1.29144 | 0.645720 | − | 0.763575i | \(-0.276558\pi\) | ||||
0.645720 | + | 0.763575i | \(0.276558\pi\) | |||||||
\(620\) | −2.20063 | − | 5.55750i | −0.0883793 | − | 0.223195i | ||||
\(621\) | 5.89026 | 0.236368 | ||||||||
\(622\) | − | 41.0420i | − | 1.64563i | ||||||
\(623\) | 41.7690i | 1.67344i | ||||||||
\(624\) | −7.33157 | −0.293498 | ||||||||
\(625\) | 1.56579 | − | 24.9509i | 0.0626314 | − | 0.998037i | ||||
\(626\) | 36.5536 | 1.46098 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 44.8095i | − | 1.78809i | ||||||
\(629\) | −78.5819 | −3.13326 | ||||||||
\(630\) | 5.75101 | + | 14.5237i | 0.229126 | + | 0.578638i | ||||
\(631\) | −6.31566 | −0.251422 | −0.125711 | − | 0.992067i | \(-0.540121\pi\) | ||||
−0.125711 | + | 0.992067i | \(0.540121\pi\) | |||||||
\(632\) | − | 3.56335i | − | 0.141742i | ||||||
\(633\) | − | 3.49518i | − | 0.138921i | ||||||
\(634\) | −1.74991 | −0.0694980 | ||||||||
\(635\) | 13.9406 | − | 5.52011i | 0.553215 | − | 0.219059i | ||||
\(636\) | 28.3604 | 1.12456 | ||||||||
\(637\) | 9.99059i | 0.395842i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −12.5340 | −0.495839 | ||||||||
\(640\) | 14.9575 | − | 5.92278i | 0.591247 | − | 0.234119i | ||||
\(641\) | 14.6862 | 0.580072 | 0.290036 | − | 0.957016i | \(-0.406333\pi\) | ||||
0.290036 | + | 0.957016i | \(0.406333\pi\) | |||||||
\(642\) | − | 32.6749i | − | 1.28958i | ||||||
\(643\) | 16.1510i | 0.636933i | 0.947934 | + | 0.318467i | \(0.103168\pi\) | ||||
−0.947934 | + | 0.318467i | \(0.896832\pi\) | |||||||
\(644\) | −47.6119 | −1.87617 | ||||||||
\(645\) | 0.454581 | + | 1.14801i | 0.0178991 | + | 0.0452027i | ||||
\(646\) | −16.4645 | −0.647786 | ||||||||
\(647\) | 27.7874i | 1.09243i | 0.837644 | + | 0.546217i | \(0.183933\pi\) | ||||
−0.837644 | + | 0.546217i | \(0.816067\pi\) | |||||||
\(648\) | − | 0.921348i | − | 0.0361940i | ||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −19.1847 | + | 18.0186i | −0.752488 | + | 0.706746i | ||||
\(651\) | −3.63711 | −0.142550 | ||||||||
\(652\) | 42.8297i | 1.67734i | ||||||||
\(653\) | 34.0655i | 1.33309i | 0.745467 | + | 0.666543i | \(0.232227\pi\) | ||||
−0.745467 | + | 0.666543i | \(0.767773\pi\) | |||||||
\(654\) | 14.3208 | 0.559986 | ||||||||
\(655\) | 6.64951 | + | 16.7928i | 0.259818 | + | 0.656148i | ||||
\(656\) | 2.73609 | 0.106826 | ||||||||
\(657\) | 5.73761i | 0.223846i | ||||||||
\(658\) | 14.9098i | 0.581243i | ||||||||
\(659\) | −14.4196 | −0.561709 | −0.280855 | − | 0.959750i | \(-0.590618\pi\) | ||||
−0.280855 | + | 0.959750i | \(0.590618\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 26.4275 | 1.02791 | 0.513956 | − | 0.857817i | \(-0.328179\pi\) | ||||
0.513956 | + | 0.857817i | \(0.328179\pi\) | |||||||
\(662\) | − | 66.4206i | − | 2.58151i | ||||||
\(663\) | 17.0179i | 0.660920i | ||||||||
\(664\) | −5.60231 | −0.217412 | ||||||||
\(665\) | −7.91297 | + | 3.13333i | −0.306852 | + | 0.121505i | ||||
\(666\) | 24.3067 | 0.941867 | ||||||||
\(667\) | 6.61220i | 0.256026i | ||||||||
\(668\) | − | 29.4379i | − | 1.13899i | ||||||
\(669\) | 5.20558 | 0.201259 | ||||||||
\(670\) | 7.20399 | + | 18.1931i | 0.278314 | + | 0.702860i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 26.6071i | − | 1.02639i | ||||||
\(673\) | − | 36.3130i | − | 1.39976i | −0.714260 | − | 0.699881i | \(-0.753236\pi\) | ||
0.714260 | − | 0.699881i | \(-0.246764\pi\) | |||||||
\(674\) | 34.1970 | 1.31722 | ||||||||
\(675\) | 3.42303 | + | 3.64457i | 0.131752 | + | 0.140280i | ||||
\(676\) | −16.4659 | −0.633304 | ||||||||
\(677\) | 11.3442i | 0.435994i | 0.975949 | + | 0.217997i | \(0.0699523\pi\) | ||||
−0.975949 | + | 0.217997i | \(0.930048\pi\) | |||||||
\(678\) | 0.635089i | 0.0243904i | ||||||||
\(679\) | 9.51364 | 0.365100 | ||||||||
\(680\) | −5.16543 | − | 13.0449i | −0.198085 | − | 0.500248i | ||||
\(681\) | −9.70244 | −0.371798 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − | 39.4269i | − | 1.50863i | −0.656514 | − | 0.754314i | \(-0.727970\pi\) | ||
0.656514 | − | 0.754314i | \(-0.272030\pi\) | |||||||
\(684\) | 2.79736 | 0.106960 | ||||||||
\(685\) | 13.3843 | − | 5.29983i | 0.511387 | − | 0.202496i | ||||
\(686\) | 20.9715 | 0.800694 | ||||||||
\(687\) | − | 18.5011i | − | 0.705860i | ||||||
\(688\) | − | 1.62008i | − | 0.0617651i | ||||||
\(689\) | 29.0760 | 1.10771 | ||||||||
\(690\) | −25.7961 | + | 10.2146i | −0.982042 | + | 0.388863i | ||||
\(691\) | 14.7763 | 0.562118 | 0.281059 | − | 0.959691i | \(-0.409314\pi\) | ||||
0.281059 | + | 0.959691i | \(0.409314\pi\) | |||||||
\(692\) | 59.0909i | 2.24630i | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 26.2260 | 0.995526 | ||||||||
\(695\) | 5.74261 | + | 14.5025i | 0.217830 | + | 0.550111i | ||||
\(696\) | 1.03427 | 0.0392040 | ||||||||
\(697\) | − | 6.35096i | − | 0.240560i | ||||||
\(698\) | − | 68.7348i | − | 2.60165i | ||||||
\(699\) | −14.9543 | −0.565625 | ||||||||
\(700\) | −27.6688 | − | 29.4596i | −1.04578 | − | 1.11347i | ||||
\(701\) | −7.12932 | −0.269271 | −0.134635 | − | 0.990895i | \(-0.542986\pi\) | ||||
−0.134635 | + | 0.990895i | \(0.542986\pi\) | |||||||
\(702\) | − | 5.26393i | − | 0.198674i | ||||||
\(703\) | 13.2431i | 0.499472i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 1.75701 | + | 4.43717i | 0.0661727 | + | 0.167114i | ||||
\(706\) | −33.2662 | −1.25199 | ||||||||
\(707\) | − | 32.7322i | − | 1.23102i | ||||||
\(708\) | 20.4700i | 0.769311i | ||||||||
\(709\) | 5.35482 | 0.201104 | 0.100552 | − | 0.994932i | \(-0.467939\pi\) | ||||
0.100552 | + | 0.994932i | \(0.467939\pi\) | |||||||
\(710\) | 54.8923 | − | 21.7359i | 2.06007 | − | 0.815735i | ||||
\(711\) | −3.86754 | −0.145044 | ||||||||
\(712\) | 11.6043i | 0.434891i | ||||||||
\(713\) | − | 6.46002i | − | 0.241930i | ||||||
\(714\) | −47.5751 | −1.78045 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −48.5989 | −1.81623 | ||||||||
\(717\) | 1.50716i | 0.0562860i | ||||||||
\(718\) | − | 38.2588i | − | 1.42781i | ||||||
\(719\) | 40.7829 | 1.52095 | 0.760473 | − | 0.649370i | \(-0.224967\pi\) | ||||
0.760473 | + | 0.649370i | \(0.224967\pi\) | |||||||
\(720\) | −2.41532 | − | 6.09968i | −0.0900135 | − | 0.227322i | ||||
\(721\) | 25.6005 | 0.953412 | ||||||||
\(722\) | − | 37.2490i | − | 1.38626i | ||||||
\(723\) | − | 7.09571i | − | 0.263892i | ||||||
\(724\) | 12.5108 | 0.464961 | ||||||||
\(725\) | −4.09127 | + | 3.84257i | −0.151946 | + | 0.142710i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − | 28.6101i | − | 1.06109i | −0.847656 | − | 0.530546i | \(-0.821987\pi\) | ||
0.847656 | − | 0.530546i | \(-0.178013\pi\) | |||||||
\(728\) | 7.63532i | 0.282984i | ||||||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −9.94988 | − | 25.1276i | −0.368262 | − | 0.930015i | ||||
\(731\) | −3.76051 | −0.139087 | ||||||||
\(732\) | 20.0185i | 0.739907i | ||||||||
\(733\) | − | 4.39612i | − | 0.162374i | −0.996699 | − | 0.0811871i | \(-0.974129\pi\) | ||
0.996699 | − | 0.0811871i | \(-0.0258711\pi\) | |||||||
\(734\) | 0.994370 | 0.0367029 | ||||||||
\(735\) | −8.31193 | + | 3.29131i | −0.306590 | + | 0.121402i | ||||
\(736\) | 47.2579 | 1.74195 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | 1.96446i | 0.0723129i | ||||||||
\(739\) | 10.5172 | 0.386882 | 0.193441 | − | 0.981112i | \(-0.438035\pi\) | ||||
0.193441 | + | 0.981112i | \(0.438035\pi\) | |||||||
\(740\) | −58.4714 | + | 23.1532i | −2.14945 | + | 0.851127i | ||||
\(741\) | 2.86795 | 0.105357 | ||||||||
\(742\) | 81.2848i | 2.98406i | ||||||||
\(743\) | 34.4901i | 1.26532i | 0.774431 | + | 0.632659i | \(0.218036\pi\) | ||||
−0.774431 | + | 0.632659i | \(0.781964\pi\) | |||||||
\(744\) | −1.01047 | −0.0370456 | ||||||||
\(745\) | −15.6583 | − | 39.5438i | −0.573677 | − | 1.44877i | ||||
\(746\) | 32.4617 | 1.18851 | ||||||||
\(747\) | 6.08055i | 0.222476i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 51.4408 | 1.87961 | ||||||||
\(750\) | −21.3112 | − | 10.0252i | −0.778176 | − | 0.366068i | ||||
\(751\) | −2.38104 | −0.0868854 | −0.0434427 | − | 0.999056i | \(-0.513833\pi\) | ||||
−0.0434427 | + | 0.999056i | \(0.513833\pi\) | |||||||
\(752\) | − | 6.26181i | − | 0.228345i | ||||||
\(753\) | − | 13.6786i | − | 0.498476i | ||||||
\(754\) | 5.90910 | 0.215197 | ||||||||
\(755\) | −3.21128 | − | 8.10983i | −0.116871 | − | 0.295147i | ||||
\(756\) | 8.08315 | 0.293981 | ||||||||
\(757\) | − | 8.39549i | − | 0.305139i | −0.988293 | − | 0.152570i | \(-0.951245\pi\) | ||
0.988293 | − | 0.152570i | \(-0.0487548\pi\) | |||||||
\(758\) | 40.6021i | 1.47473i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.19840 | + | 0.870508i | −0.0797442 | + | 0.0315767i | ||||
\(761\) | 10.4681 | 0.379467 | 0.189734 | − | 0.981836i | \(-0.439238\pi\) | ||||
0.189734 | + | 0.981836i | \(0.439238\pi\) | |||||||
\(762\) | − | 14.1250i | − | 0.511693i | ||||||
\(763\) | 22.5455i | 0.816202i | ||||||||
\(764\) | 6.85724 | 0.248086 | ||||||||
\(765\) | −14.1585 | + | 5.60638i | −0.511900 | + | 0.202699i | ||||
\(766\) | −15.6898 | −0.566895 | ||||||||
\(767\) | 20.9866i | 0.757781i | ||||||||
\(768\) | 6.91021i | 0.249351i | ||||||||
\(769\) | 9.70799 | 0.350079 | 0.175040 | − | 0.984561i | \(-0.443995\pi\) | ||||
0.175040 | + | 0.984561i | \(0.443995\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 8.30411 | 0.299065 | ||||||||
\(772\) | 47.0493i | 1.69334i | ||||||||
\(773\) | − | 31.9598i | − | 1.14952i | −0.818324 | − | 0.574758i | \(-0.805096\pi\) | ||
0.818324 | − | 0.574758i | \(-0.194904\pi\) | |||||||
\(774\) | 1.16319 | 0.0418100 | ||||||||
\(775\) | 3.99711 | − | 3.75413i | 0.143580 | − | 0.134852i | ||||
\(776\) | 2.64310 | 0.0948817 | ||||||||
\(777\) | 38.2667i | 1.37281i | ||||||||
\(778\) | 1.50367i | 0.0539090i | ||||||||
\(779\) | −1.07030 | −0.0383475 | ||||||||
\(780\) | 5.01410 | + | 12.6627i | 0.179534 | + | 0.453398i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | − | 84.5001i | − | 3.02172i | ||||||
\(783\) | − | 1.12257i | − | 0.0401172i | ||||||
\(784\) | 11.7299 | 0.418926 | ||||||||
\(785\) | 38.2211 | − | 15.1346i | 1.36417 | − | 0.540176i | ||||
\(786\) | 17.0149 | 0.606901 | ||||||||
\(787\) | − | 46.4715i | − | 1.65653i | −0.560336 | − | 0.828266i | \(-0.689328\pi\) | ||
0.560336 | − | 0.828266i | \(-0.310672\pi\) | |||||||
\(788\) | 8.72475i | 0.310806i | ||||||||
\(789\) | 11.1345 | 0.396398 | ||||||||
\(790\) | 16.9377 | − | 6.70690i | 0.602617 | − | 0.238621i | ||||
\(791\) | −0.999835 | −0.0355500 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 20.5237i | 0.728817i | ||||||||
\(794\) | 1.60973 | 0.0571273 | ||||||||
\(795\) | 9.57882 | + | 24.1905i | 0.339726 | + | 0.857950i | ||||
\(796\) | 30.9759 | 1.09791 | ||||||||
\(797\) | − | 32.2353i | − | 1.14183i | −0.821008 | − | 0.570917i | \(-0.806588\pi\) | ||
0.821008 | − | 0.570917i | \(-0.193412\pi\) | |||||||
\(798\) | 8.01763i | 0.283821i | ||||||||
\(799\) | −14.5348 | −0.514204 | ||||||||
\(800\) | 27.4631 | + | 29.2406i | 0.970968 | + | 1.03381i | ||||
\(801\) | 12.5950 | 0.445021 | ||||||||
\(802\) | − | 33.1869i | − | 1.17187i | ||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 10.1253 | 0.357093 | ||||||||
\(805\) | −16.0811 | − | 40.6115i | −0.566784 | − | 1.43137i | ||||
\(806\) | −5.77310 | −0.203349 | ||||||||
\(807\) | − | 22.7563i | − | 0.801061i | ||||||
\(808\) | − | 9.09372i | − | 0.319916i | ||||||
\(809\) | −21.1977 | −0.745273 | −0.372637 | − | 0.927977i | \(-0.621546\pi\) | ||||
−0.372637 | + | 0.927977i | \(0.621546\pi\) | |||||||
\(810\) | 4.37946 | − | 1.73415i | 0.153878 | − | 0.0609319i | ||||
\(811\) | −23.6049 | −0.828879 | −0.414440 | − | 0.910077i | \(-0.636022\pi\) | ||||
−0.414440 | + | 0.910077i | \(0.636022\pi\) | |||||||
\(812\) | 9.07387i | 0.318430i | ||||||||
\(813\) | 7.79448i | 0.273364i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −36.5324 | + | 14.4659i | −1.27967 | + | 0.506718i | ||||
\(816\) | 19.9806 | 0.699463 | ||||||||
\(817\) | 0.633743i | 0.0221718i | ||||||||
\(818\) | 5.52117i | 0.193043i | ||||||||
\(819\) | 8.28712 | 0.289575 | ||||||||
\(820\) | −1.87123 | − | 4.72564i | −0.0653462 | − | 0.165026i | ||||
\(821\) | −44.5174 | −1.55367 | −0.776834 | − | 0.629706i | \(-0.783175\pi\) | ||||
−0.776834 | + | 0.629706i | \(0.783175\pi\) | |||||||
\(822\) | − | 13.5613i | − | 0.473005i | ||||||
\(823\) | 0.136429i | 0.00475560i | 0.999997 | + | 0.00237780i | \(0.000756879\pi\) | ||||
−0.999997 | + | 0.00237780i | \(0.999243\pi\) | |||||||
\(824\) | 7.11238 | 0.247771 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −58.6700 | −2.04139 | ||||||||
\(827\) | 11.7712i | 0.409325i | 0.978833 | + | 0.204662i | \(0.0656096\pi\) | ||||
−0.978833 | + | 0.204662i | \(0.934390\pi\) | |||||||
\(828\) | 14.3568i | 0.498934i | ||||||||
\(829\) | −11.0290 | −0.383052 | −0.191526 | − | 0.981488i | \(-0.561344\pi\) | ||||
−0.191526 | + | 0.981488i | \(0.561344\pi\) | |||||||
\(830\) | −10.5446 | − | 26.6295i | −0.366008 | − | 0.924324i | ||||
\(831\) | −9.46719 | −0.328413 | ||||||||
\(832\) | − | 27.5696i | − | 0.955805i | ||||||
\(833\) | − | 27.2273i | − | 0.943369i | ||||||
\(834\) | 14.6943 | 0.508823 | ||||||||
\(835\) | 25.1096 | − | 9.94275i | 0.868953 | − | 0.344083i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.09673i | 0.0379085i | ||||||||
\(838\) | 37.9335i | 1.31039i | ||||||||
\(839\) | 10.5903 | 0.365616 | 0.182808 | − | 0.983149i | \(-0.441481\pi\) | ||||
0.182808 | + | 0.983149i | \(0.441481\pi\) | |||||||
\(840\) | −6.35240 | + | 2.51539i | −0.219179 | + | 0.0867891i | ||||
\(841\) | −27.7398 | −0.956546 | ||||||||
\(842\) | 2.46708i | 0.0850211i | ||||||||
\(843\) | 31.3016i | 1.07808i | ||||||||
\(844\) | 8.51910 | 0.293239 | ||||||||
\(845\) | −5.56142 | − | 14.0449i | −0.191319 | − | 0.483159i | ||||
\(846\) | 4.49586 | 0.154571 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | − | 34.1381i | − | 1.17231i | ||||||
\(849\) | −24.4123 | −0.837829 | ||||||||
\(850\) | 52.2840 | − | 49.1058i | 1.79333 | − | 1.68431i | ||||
\(851\) | −67.9670 | −2.32988 | ||||||||
\(852\) | − | 30.5503i | − | 1.04663i | ||||||
\(853\) | − | 44.5811i | − | 1.52643i | −0.646145 | − | 0.763215i | \(-0.723620\pi\) | ||
0.646145 | − | 0.763215i | \(-0.276380\pi\) | |||||||
\(854\) | −57.3759 | −1.96336 | ||||||||
\(855\) | 0.944820 | + | 2.38607i | 0.0323122 | + | 0.0816017i | ||||
\(856\) | 14.2914 | 0.488470 | ||||||||
\(857\) | 24.3105i | 0.830430i | 0.909723 | + | 0.415215i | \(0.136294\pi\) | ||||
−0.909723 | + | 0.415215i | \(0.863706\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 35.5045 | 1.21140 | 0.605699 | − | 0.795694i | \(-0.292893\pi\) | ||||
0.605699 | + | 0.795694i | \(0.292893\pi\) | |||||||
\(860\) | −2.79813 | + | 1.10799i | −0.0954154 | + | 0.0377820i | ||||
\(861\) | −3.09270 | −0.105399 | ||||||||
\(862\) | 73.9218i | 2.51779i | ||||||||
\(863\) | 11.6720i | 0.397319i | 0.980069 | + | 0.198659i | \(0.0636588\pi\) | ||||
−0.980069 | + | 0.198659i | \(0.936341\pi\) | |||||||
\(864\) | −8.02306 | −0.272950 | ||||||||
\(865\) | −50.4027 | + | 19.9582i | −1.71374 | + | 0.678598i | ||||
\(866\) | 38.3933 | 1.30466 | ||||||||
\(867\) | − | 29.3787i | − | 0.997752i | ||||||
\(868\) | − | 8.86503i | − | 0.300899i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.94670 | + | 4.91623i | 0.0659992 | + | 0.166676i | ||||
\(871\) | 10.3808 | 0.351741 | ||||||||
\(872\) | 6.26364i | 0.212114i | ||||||||
\(873\) | − | 2.86873i | − | 0.0970917i | ||||||
\(874\) | −14.2404 | −0.481690 | ||||||||
\(875\) | 15.7829 | − | 33.5508i | 0.533559 | − | 1.13422i | ||||
\(876\) | −13.9847 | −0.472501 | ||||||||
\(877\) | 26.4819i | 0.894230i | 0.894476 | + | 0.447115i | \(0.147549\pi\) | ||||
−0.894476 | + | 0.447115i | \(0.852451\pi\) | |||||||
\(878\) | 41.7416i | 1.40871i | ||||||||
\(879\) | 11.8197 | 0.398667 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 10.3488 | 0.348658 | 0.174329 | − | 0.984687i | \(-0.444224\pi\) | ||||
0.174329 | + | 0.984687i | \(0.444224\pi\) | |||||||
\(882\) | 8.42187i | 0.283579i | ||||||||
\(883\) | − | 2.71148i | − | 0.0912487i | −0.998959 | − | 0.0456243i | \(-0.985472\pi\) | ||
0.998959 | − | 0.0456243i | \(-0.0145277\pi\) | |||||||
\(884\) | −41.4791 | −1.39509 | ||||||||
\(885\) | −17.4603 | + | 6.91383i | −0.586922 | + | 0.232406i | ||||
\(886\) | −35.1543 | −1.18103 | ||||||||
\(887\) | − | 0.122673i | − | 0.00411896i | −0.999998 | − | 0.00205948i | \(-0.999344\pi\) | ||
0.999998 | − | 0.00205948i | \(-0.000655553\pi\) | |||||||
\(888\) | 10.6313i | 0.356764i | ||||||||
\(889\) | 22.2373 | 0.745814 | ||||||||
\(890\) | −55.1590 | + | 21.8416i | −1.84894 | + | 0.732131i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 12.6880i | 0.424825i | ||||||||
\(893\) | 2.44949i | 0.0819690i | ||||||||
\(894\) | −40.0669 | −1.34004 | ||||||||
\(895\) | −16.4145 | − | 41.4534i | −0.548675 | − | 1.38563i | ||||
\(896\) | 23.8594 | 0.797087 | ||||||||
\(897\) | 14.7191i | 0.491456i | ||||||||
\(898\) | 27.7997i | 0.927689i | ||||||||
\(899\) | −1.23115 | −0.0410612 | ||||||||
\(900\) | −8.88321 | + | 8.34322i | −0.296107 | + | 0.278107i | ||||
\(901\) | −79.2406 | −2.63989 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1.83124i | 0.0609398i | ||||||||
\(904\) | −0.277776 | −0.00923870 | ||||||||
\(905\) | 4.22558 | + | 10.6713i | 0.140463 | + | 0.354728i | ||||
\(906\) | −8.21710 | −0.272995 | ||||||||
\(907\) | 13.8188i | 0.458844i | 0.973327 | + | 0.229422i | \(0.0736836\pi\) | ||||
−0.973327 | + | 0.229422i | \(0.926316\pi\) | |||||||
\(908\) | − | 23.6485i | − | 0.784804i | ||||||
\(909\) | −9.87001 | −0.327368 | ||||||||
\(910\) | −36.2931 | + | 14.3711i | −1.20310 | + | 0.476398i | ||||
\(911\) | 23.2558 | 0.770501 | 0.385250 | − | 0.922812i | \(-0.374115\pi\) | ||||
0.385250 | + | 0.922812i | \(0.374115\pi\) | |||||||
\(912\) | − | 3.36725i | − | 0.111501i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 44.7997 | 1.48184 | ||||||||
\(915\) | −17.0752 | + | 6.76133i | −0.564488 | + | 0.223523i | ||||
\(916\) | 45.0942 | 1.48995 | ||||||||
\(917\) | 26.7869i | 0.884583i | ||||||||
\(918\) | 14.3457i | 0.473480i | ||||||||
\(919\) | −26.4278 | −0.871772 | −0.435886 | − | 0.900002i | \(-0.643565\pi\) | ||||
−0.435886 | + | 0.900002i | \(0.643565\pi\) | |||||||
\(920\) | −4.46768 | − | 11.2828i | −0.147295 | − | 0.371981i | ||||
\(921\) | −22.3217 | −0.735524 | ||||||||
\(922\) | − | 42.2927i | − | 1.39284i | ||||||
\(923\) | − | 31.3212i | − | 1.03095i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −39.4978 | − | 42.0542i | −1.29868 | − | 1.38273i | ||||
\(926\) | 2.02757 | 0.0666301 | ||||||||
\(927\) | − | 7.71953i | − | 0.253543i | ||||||
\(928\) | − | 9.00641i | − | 0.295650i | ||||||
\(929\) | 8.03463 | 0.263608 | 0.131804 | − | 0.991276i | \(-0.457923\pi\) | ||||
0.131804 | + | 0.991276i | \(0.457923\pi\) | |||||||
\(930\) | −1.90189 | − | 4.80308i | −0.0623656 | − | 0.157499i | ||||
\(931\) | −4.58850 | −0.150382 | ||||||||
\(932\) | − | 36.4494i | − | 1.19394i | ||||||
\(933\) | − | 19.4834i | − | 0.637858i | ||||||
\(934\) | −31.4144 | −1.02791 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 2.30234 | 0.0752545 | ||||||||
\(937\) | − | 13.4913i | − | 0.440740i | −0.975416 | − | 0.220370i | \(-0.929274\pi\) | ||
0.975416 | − | 0.220370i | \(-0.0707265\pi\) | |||||||
\(938\) | 29.0206i | 0.947557i | ||||||||
\(939\) | 17.3527 | 0.566284 | ||||||||
\(940\) | −10.8151 | + | 4.28249i | −0.352749 | + | 0.139680i | ||||
\(941\) | −31.9040 | −1.04004 | −0.520021 | − | 0.854154i | \(-0.674076\pi\) | ||||
−0.520021 | + | 0.854154i | \(0.674076\pi\) | |||||||
\(942\) | − | 38.7267i | − | 1.26178i | ||||||
\(943\) | − | 5.49307i | − | 0.178879i | ||||||
\(944\) | 24.6403 | 0.801973 | ||||||||
\(945\) | 2.73011 | + | 6.89468i | 0.0888106 | + | 0.224284i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 10.2719i | 0.333793i | 0.985974 | + | 0.166896i | \(0.0533745\pi\) | ||||
−0.985974 | + | 0.166896i | \(0.946625\pi\) | |||||||
\(948\) | − | 9.42667i | − | 0.306164i | ||||||
\(949\) | −14.3376 | −0.465419 | ||||||||
\(950\) | −8.27559 | − | 8.81120i | −0.268496 | − | 0.285873i | ||||
\(951\) | −0.830717 | −0.0269379 | ||||||||
\(952\) | − | 20.8085i | − | 0.674407i | ||||||
\(953\) | − | 9.83426i | − | 0.318563i | −0.987233 | − | 0.159281i | \(-0.949082\pi\) | ||
0.987233 | − | 0.159281i | \(-0.0509177\pi\) | |||||||
\(954\) | 24.5105 | 0.793557 | ||||||||
\(955\) | 2.31606 | + | 5.84901i | 0.0749458 | + | 0.189270i | ||||
\(956\) | −3.67353 | −0.118810 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 1.00170i | 0.0323635i | ||||||||
\(959\) | 21.3499 | 0.689424 | ||||||||
\(960\) | 22.9373 | − | 9.08256i | 0.740297 | − | 0.293138i | ||||
\(961\) | −29.7972 | −0.961199 | ||||||||
\(962\) | 60.7397i | 1.95833i | ||||||||
\(963\) | − | 15.5114i | − | 0.499848i | ||||||
\(964\) | 17.2949 | 0.557033 | ||||||||
\(965\) | −40.1316 | + | 15.8911i | −1.29188 | + | 0.511551i | ||||
\(966\) | −41.1486 | −1.32393 | ||||||||
\(967\) | − | 3.85001i | − | 0.123808i | −0.998082 | − | 0.0619041i | \(-0.980283\pi\) | ||
0.998082 | − | 0.0619041i | \(-0.0197173\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −7.81600 | −0.251086 | ||||||||
\(970\) | 4.97481 | + | 12.5635i | 0.159731 | + | 0.403389i | ||||
\(971\) | 21.3920 | 0.686502 | 0.343251 | − | 0.939244i | \(-0.388472\pi\) | ||||
0.343251 | + | 0.939244i | \(0.388472\pi\) | |||||||
\(972\) | − | 2.43738i | − | 0.0781790i | ||||||
\(973\) | 23.1336i | 0.741630i | ||||||||
\(974\) | −74.4713 | −2.38621 | ||||||||
\(975\) | −9.10736 | + | 8.55375i | −0.291669 | + | 0.273939i | ||||
\(976\) | 24.0968 | 0.771320 | ||||||||
\(977\) | − | 16.6681i | − | 0.533258i | −0.963799 | − | 0.266629i | \(-0.914090\pi\) | ||
0.963799 | − | 0.266629i | \(-0.0859099\pi\) | |||||||
\(978\) | 37.0156i | 1.18363i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −8.02217 | − | 20.2593i | −0.256259 | − | 0.647161i | ||||
\(981\) | 6.79834 | 0.217054 | ||||||||
\(982\) | − | 63.4750i | − | 2.02557i | ||||||
\(983\) | − | 51.8570i | − | 1.65398i | −0.562216 | − | 0.826991i | \(-0.690051\pi\) | ||
0.562216 | − | 0.826991i | \(-0.309949\pi\) | |||||||
\(984\) | −0.859219 | −0.0273909 | ||||||||
\(985\) | −7.44194 | + | 2.94682i | −0.237120 | + | 0.0938933i | ||||
\(986\) | −16.1040 | −0.512856 | ||||||||
\(987\) | 7.07794i | 0.225293i | ||||||||
\(988\) | 6.99029i | 0.222391i | ||||||||
\(989\) | −3.25253 | −0.103425 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.8195 | 0.629588 | 0.314794 | − | 0.949160i | \(-0.398065\pi\) | ||||
0.314794 | + | 0.949160i | \(0.398065\pi\) | |||||||
\(992\) | 8.79912i | 0.279372i | ||||||||
\(993\) | − | 31.5311i | − | 1.00061i | ||||||
\(994\) | 87.5613 | 2.77727 | ||||||||
\(995\) | 10.4622 | + | 26.4215i | 0.331674 | + | 0.837616i | ||||
\(996\) | −14.8206 | −0.469609 | ||||||||
\(997\) | − | 51.6594i | − | 1.63607i | −0.575168 | − | 0.818036i | \(-0.695063\pi\) | ||
0.575168 | − | 0.818036i | \(-0.304937\pi\) | |||||||
\(998\) | 76.8449i | 2.43248i | ||||||||
\(999\) | 11.5389 | 0.365074 |
(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 | 1815.2.c.j.364.20 | 24 | ||
5.2 | odd | 4 | 9075.2.a.dy.1.3 | 12 | |||
5.3 | odd | 4 | 9075.2.a.dz.1.10 | 12 | |||
5.4 | even | 2 | inner | 1815.2.c.j.364.5 | 24 | ||
11.3 | even | 5 | 165.2.s.a.64.10 | yes | 48 | ||
11.4 | even | 5 | 165.2.s.a.49.3 | ✓ | 48 | ||
11.10 | odd | 2 | 1815.2.c.k.364.5 | 24 | |||
33.14 | odd | 10 | 495.2.ba.c.64.3 | 48 | |||
33.26 | odd | 10 | 495.2.ba.c.379.10 | 48 | |||
55.3 | odd | 20 | 825.2.n.o.526.5 | 24 | |||
55.4 | even | 10 | 165.2.s.a.49.10 | yes | 48 | ||
55.14 | even | 10 | 165.2.s.a.64.3 | yes | 48 | ||
55.32 | even | 4 | 9075.2.a.ea.1.10 | 12 | |||
55.37 | odd | 20 | 825.2.n.p.676.2 | 24 | |||
55.43 | even | 4 | 9075.2.a.dx.1.3 | 12 | |||
55.47 | odd | 20 | 825.2.n.p.526.2 | 24 | |||
55.48 | odd | 20 | 825.2.n.o.676.5 | 24 | |||
55.54 | odd | 2 | 1815.2.c.k.364.20 | 24 | |||
165.14 | odd | 10 | 495.2.ba.c.64.10 | 48 | |||
165.59 | odd | 10 | 495.2.ba.c.379.3 | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
165.2.s.a.49.3 | ✓ | 48 | 11.4 | even | 5 | ||
165.2.s.a.49.10 | yes | 48 | 55.4 | even | 10 | ||
165.2.s.a.64.3 | yes | 48 | 55.14 | even | 10 | ||
165.2.s.a.64.10 | yes | 48 | 11.3 | even | 5 | ||
495.2.ba.c.64.3 | 48 | 33.14 | odd | 10 | |||
495.2.ba.c.64.10 | 48 | 165.14 | odd | 10 | |||
495.2.ba.c.379.3 | 48 | 165.59 | odd | 10 | |||
495.2.ba.c.379.10 | 48 | 33.26 | odd | 10 | |||
825.2.n.o.526.5 | 24 | 55.3 | odd | 20 | |||
825.2.n.o.676.5 | 24 | 55.48 | odd | 20 | |||
825.2.n.p.526.2 | 24 | 55.47 | odd | 20 | |||
825.2.n.p.676.2 | 24 | 55.37 | odd | 20 | |||
1815.2.c.j.364.5 | 24 | 5.4 | even | 2 | inner | ||
1815.2.c.j.364.20 | 24 | 1.1 | even | 1 | trivial | ||
1815.2.c.k.364.5 | 24 | 11.10 | odd | 2 | |||
1815.2.c.k.364.20 | 24 | 55.54 | odd | 2 | |||
9075.2.a.dx.1.3 | 12 | 55.43 | even | 4 | |||
9075.2.a.dy.1.3 | 12 | 5.2 | odd | 4 | |||
9075.2.a.dz.1.10 | 12 | 5.3 | odd | 4 | |||
9075.2.a.ea.1.10 | 12 | 55.32 | even | 4 |