Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1008,2,Mod(337,1008)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1008, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1008.337");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1008 = 2^{4} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1008.r (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: | \(8.04892052375\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 504) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 337.1 | ||
Root | \(-0.766044 + 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1008.337 |
Dual form | 1008.2.r.i.673.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1008\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(577\) | \(757\) | \(785\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | ||||||||
\(3\) | −1.11334 | − | 1.32683i | −0.642788 | − | 0.766044i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 1.43969 | − | 2.49362i | 0.643850 | − | 1.11518i | −0.340716 | − | 0.940166i | \(-0.610669\pi\) |
0.984566 | − | 0.175015i | \(-0.0559973\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.500000 | + | 0.866025i | 0.188982 | + | 0.327327i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.520945 | + | 2.95442i | −0.173648 | + | 0.984808i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.592396 | − | 1.02606i | −0.178614 | − | 0.309369i | 0.762792 | − | 0.646644i | \(-0.223828\pi\) |
−0.941406 | + | 0.337275i | \(0.890495\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.37939 | − | 4.12122i | 0.659923 | − | 1.14302i | −0.320713 | − | 0.947177i | \(-0.603922\pi\) |
0.980635 | − | 0.195843i | \(-0.0627443\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.91147 | + | 0.866025i | −1.26814 | + | 0.223607i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.41147 | 1.31248 | 0.656238 | − | 0.754554i | \(-0.272147\pi\) | ||||
0.656238 | + | 0.754554i | \(0.272147\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.10607 | −0.253749 | −0.126875 | − | 0.991919i | \(-0.540495\pi\) | ||||
−0.126875 | + | 0.991919i | \(0.540495\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.592396 | − | 1.62760i | 0.129271 | − | 0.355170i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.95084 | − | 5.11100i | 0.615292 | − | 1.06572i | −0.375041 | − | 0.927008i | \(-0.622371\pi\) |
0.990333 | − | 0.138709i | \(-0.0442952\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.64543 | − | 2.84997i | −0.329086 | − | 0.569994i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 4.50000 | − | 2.59808i | 0.866025 | − | 0.500000i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.49273 | − | 4.31753i | −0.462888 | − | 0.801745i | 0.536216 | − | 0.844081i | \(-0.319853\pi\) |
−0.999103 | + | 0.0423361i | \(0.986520\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.78699 | + | 4.82721i | −0.500558 | + | 0.866992i | 0.499442 | + | 0.866347i | \(0.333538\pi\) |
−1.00000 | 0.000644439i | \(0.999795\pi\) | ||||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.701867 | + | 1.92836i | −0.122179 | + | 0.335685i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.87939 | 0.486705 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.42602 | −0.398836 | −0.199418 | − | 0.979915i | \(-0.563905\pi\) | ||||
−0.199418 | + | 0.979915i | \(0.563905\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.11721 | + | 1.43128i | −1.29979 | + | 0.229189i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −3.81908 | + | 6.61484i | −0.596440 | + | 1.03306i | 0.396902 | + | 0.917861i | \(0.370085\pi\) |
−0.993342 | + | 0.115203i | \(0.963248\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.78699 | − | 6.55926i | −0.577510 | − | 1.00028i | −0.995764 | − | 0.0919470i | \(-0.970691\pi\) |
0.418253 | − | 0.908330i | \(-0.362642\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 6.61721 | + | 5.55250i | 0.986436 | + | 0.827718i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 0.141559 | + | 0.245188i | 0.0206485 | + | 0.0357643i | 0.876165 | − | 0.482011i | \(-0.160094\pi\) |
−0.855516 | + | 0.517776i | \(0.826760\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.02481 | − | 7.18009i | −0.843643 | − | 1.00541i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −4.22668 | −0.580579 | −0.290290 | − | 0.956939i | \(-0.593752\pi\) | ||||
−0.290290 | + | 0.956939i | \(0.593752\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.41147 | −0.460003 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.23143 | + | 1.46756i | 0.163107 | + | 0.194383i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.86231 | − | 10.1538i | 0.763208 | − | 1.32191i | −0.177981 | − | 0.984034i | \(-0.556957\pi\) |
0.941189 | − | 0.337881i | \(-0.109710\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.992726 | − | 1.71945i | −0.127106 | − | 0.220153i | 0.795448 | − | 0.606021i | \(-0.207235\pi\) |
−0.922554 | + | 0.385868i | \(0.873902\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −2.81908 | + | 1.02606i | −0.355170 | + | 0.129271i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −6.85117 | − | 11.8666i | −0.849783 | − | 1.47187i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.76991 | + | 11.7258i | −0.827077 | + | 1.43254i | 0.0732450 | + | 0.997314i | \(0.476664\pi\) |
−0.900322 | + | 0.435225i | \(0.856669\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −10.0667 | + | 1.77503i | −1.21189 | + | 0.213689i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.11381 | 0.606897 | 0.303449 | − | 0.952848i | \(-0.401862\pi\) | ||||
0.303449 | + | 0.952848i | \(0.401862\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.327696 | −0.0383539 | −0.0191770 | − | 0.999816i | \(-0.506105\pi\) | ||||
−0.0191770 | + | 0.999816i | \(0.506105\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.94949 | + | 5.35619i | −0.225108 | + | 0.618479i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0.592396 | − | 1.02606i | 0.0675098 | − | 0.116930i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.24763 | − | 9.08916i | −0.590404 | − | 1.02261i | −0.994178 | − | 0.107751i | \(-0.965635\pi\) |
0.403774 | − | 0.914859i | \(-0.367698\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −8.45723 | − | 3.07818i | −0.939693 | − | 0.342020i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.62701 | + | 6.28217i | 0.398116 | + | 0.689558i | 0.993494 | − | 0.113889i | \(-0.0363307\pi\) |
−0.595377 | + | 0.803446i | \(0.702997\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 7.79086 | − | 13.4942i | 0.845037 | − | 1.46365i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.95336 | + | 8.11430i | −0.316634 | + | 0.869944i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −14.7023 | −1.55844 | −0.779222 | − | 0.626748i | \(-0.784386\pi\) | ||||
−0.779222 | + | 0.626748i | \(0.784386\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.75877 | 0.498855 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 9.50774 | − | 1.67647i | 0.985907 | − | 0.173842i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −1.59240 | + | 2.75811i | −0.163376 | + | 0.282976i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −9.04710 | − | 15.6700i | −0.918594 | − | 1.59105i | −0.801552 | − | 0.597925i | \(-0.795992\pi\) |
−0.117042 | − | 0.993127i | \(-0.537341\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 3.34002 | − | 1.21567i | 0.335685 | − | 0.122179i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.84389 | + | 15.3181i | 0.880000 | + | 1.52421i | 0.851339 | + | 0.524616i | \(0.175791\pi\) |
0.0286612 | + | 0.999589i | \(0.490876\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 6.58899 | − | 11.4125i | 0.649233 | − | 1.12450i | −0.334074 | − | 0.942547i | \(-0.608423\pi\) |
0.983306 | − | 0.181957i | \(-0.0582432\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −3.20574 | − | 3.82045i | −0.312848 | − | 0.372838i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 13.9513 | 1.34872 | 0.674362 | − | 0.738401i | \(-0.264419\pi\) | ||||
0.674362 | + | 0.738401i | \(0.264419\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −10.1702 | −0.974133 | −0.487066 | − | 0.873365i | \(-0.661933\pi\) | ||||
−0.487066 | + | 0.873365i | \(0.661933\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.70099 | + | 3.21891i | 0.256367 | + | 0.305526i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.83750 | − | 4.91469i | 0.266929 | − | 0.462335i | −0.701138 | − | 0.713026i | \(-0.747324\pi\) |
0.968067 | + | 0.250691i | \(0.0806577\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −8.49660 | − | 14.7165i | −0.792312 | − | 1.37232i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 10.9363 | + | 9.17664i | 1.01106 | + | 0.848380i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.70574 | + | 4.68647i | 0.248035 | + | 0.429608i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.79813 | − | 8.31061i | 0.436194 | − | 0.755510i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 13.0287 | − | 2.29731i | 1.17476 | − | 0.207141i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 4.92127 | 0.440172 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 20.0915 | 1.78283 | 0.891417 | − | 0.453184i | \(-0.149712\pi\) | ||||
0.891417 | + | 0.453184i | \(0.149712\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.48680 | + | 12.3274i | −0.395040 | + | 1.08536i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 3.84002 | − | 6.65111i | 0.335504 | − | 0.581111i | −0.648077 | − | 0.761575i | \(-0.724427\pi\) |
0.983582 | + | 0.180464i | \(0.0577600\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.553033 | − | 0.957882i | −0.0479541 | − | 0.0830589i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | − | 14.9617i | − | 1.28770i | ||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.13429 | + | 12.3569i | 0.609523 | + | 1.05573i | 0.991319 | + | 0.131478i | \(0.0419724\pi\) |
−0.381796 | + | 0.924247i | \(0.624694\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −7.63950 | + | 13.2320i | −0.647974 | + | 1.12232i | 0.335632 | + | 0.941993i | \(0.391050\pi\) |
−0.983606 | + | 0.180331i | \(0.942283\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.167718 | − | 0.460802i | 0.0141244 | − | 0.0388066i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −5.63816 | −0.471486 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −14.3550 | −1.19212 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 1.70574 | − | 0.300767i | 0.140687 | − | 0.0248069i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.20826 | − | 12.4851i | 0.590524 | − | 1.02282i | −0.403638 | − | 0.914919i | \(-0.632254\pi\) |
0.994162 | − | 0.107899i | \(-0.0344122\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.90420 | + | 10.2264i | 0.480477 | + | 0.832211i | 0.999749 | − | 0.0223984i | \(-0.00713022\pi\) |
−0.519272 | + | 0.854609i | \(0.673797\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.81908 | + | 15.9878i | −0.227909 | + | 1.29254i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.02481 | + | 13.8994i | 0.644569 | + | 1.11643i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.76011 | + | 11.7089i | −0.539516 | + | 0.934469i | 0.459414 | + | 0.888222i | \(0.348059\pi\) |
−0.998930 | + | 0.0462468i | \(0.985274\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.70574 | + | 5.60808i | 0.373189 | + | 0.444750i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.90167 | 0.465117 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −23.9641 | −1.87701 | −0.938506 | − | 0.345262i | \(-0.887790\pi\) | ||||
−0.938506 | + | 0.345262i | \(0.887790\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.79813 | + | 4.52644i | 0.295684 | + | 0.352383i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −2.48545 | + | 4.30493i | −0.192330 | + | 0.333125i | −0.946022 | − | 0.324102i | \(-0.894938\pi\) |
0.753692 | + | 0.657228i | \(0.228271\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.82295 | − | 8.35359i | −0.370996 | − | 0.642584i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.576199 | − | 3.26779i | 0.0440631 | − | 0.249894i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 12.6099 | + | 21.8411i | 0.958716 | + | 1.66054i | 0.725626 | + | 0.688089i | \(0.241550\pi\) |
0.233090 | + | 0.972455i | \(0.425116\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.64543 | − | 2.84997i | 0.124383 | − | 0.215437i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −19.9991 | + | 3.52638i | −1.50323 | + | 0.265059i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 9.27362 | 0.693143 | 0.346572 | − | 0.938024i | \(-0.387346\pi\) | ||||
0.346572 | + | 0.938024i | \(0.387346\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 13.3327 | 0.991015 | 0.495508 | − | 0.868604i | \(-0.334982\pi\) | ||||
0.495508 | + | 0.868604i | \(0.334982\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.17617 | + | 3.23151i | −0.0869453 | + | 0.238880i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.49273 | + | 6.04958i | −0.256790 | + | 0.444774i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.20574 | − | 5.55250i | −0.234427 | − | 0.406039i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 4.50000 | + | 2.59808i | 0.327327 | + | 0.188982i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 4.38326 | + | 7.59202i | 0.317161 | + | 0.549339i | 0.979895 | − | 0.199516i | \(-0.0639370\pi\) |
−0.662733 | + | 0.748856i | \(0.730604\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −7.62108 | + | 13.2001i | −0.548577 | + | 0.950164i | 0.449795 | + | 0.893132i | \(0.351497\pi\) |
−0.998372 | + | 0.0570321i | \(0.981836\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −8.11721 | + | 22.3019i | −0.581286 | + | 1.59707i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −8.64496 | −0.615928 | −0.307964 | − | 0.951398i | \(-0.599648\pi\) | ||||
−0.307964 | + | 0.951398i | \(0.599648\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.3746 | 0.948103 | 0.474051 | − | 0.880497i | \(-0.342791\pi\) | ||||
0.474051 | + | 0.880497i | \(0.342791\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 23.0954 | − | 4.07234i | 1.62902 | − | 0.287241i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.49273 | − | 4.31753i | 0.174955 | − | 0.303031i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 10.9966 | + | 19.0467i | 0.768036 | + | 1.33028i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 13.5628 | + | 11.3806i | 0.942682 | + | 0.791004i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.655230 | + | 1.13489i | 0.0453232 | + | 0.0785021i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.64290 | + | 6.30969i | −0.250788 | + | 0.434377i | −0.963743 | − | 0.266832i | \(-0.914023\pi\) |
0.712955 | + | 0.701210i | \(0.247356\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −5.69341 | − | 6.78514i | −0.390106 | − | 0.464910i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −21.8084 | −1.48732 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.57398 | −0.378386 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.364837 | + | 0.434796i | 0.0246534 | + | 0.0293808i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 12.8760 | − | 22.3019i | 0.866132 | − | 1.50019i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.295607 | − | 0.512007i | −0.0197953 | − | 0.0342865i | 0.855958 | − | 0.517045i | \(-0.172968\pi\) |
−0.875753 | + | 0.482759i | \(0.839635\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.27719 | − | 3.37662i | 0.618479 | − | 0.225108i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.74170 | − | 3.01671i | −0.115600 | − | 0.200226i | 0.802419 | − | 0.596761i | \(-0.203546\pi\) |
−0.918020 | + | 0.396535i | \(0.870213\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.3007 | − | 21.3054i | 0.812850 | − | 1.40790i | −0.0980107 | − | 0.995185i | \(-0.531248\pi\) |
0.910861 | − | 0.412713i | \(-0.135419\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.02094 | + | 0.356347i | −0.132968 | + | 0.0234459i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 11.4165 | 0.747922 | 0.373961 | − | 0.927445i | \(-0.377999\pi\) | ||||
0.373961 | + | 0.927445i | \(0.377999\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.815207 | 0.0531783 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −6.21735 | + | 17.0820i | −0.403860 | + | 1.10960i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 2.04664 | − | 3.54488i | 0.132386 | − | 0.229299i | −0.792210 | − | 0.610249i | \(-0.791070\pi\) |
0.924596 | + | 0.380950i | \(0.124403\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.60354 | + | 6.24152i | 0.232124 | + | 0.402051i | 0.958433 | − | 0.285317i | \(-0.0920990\pi\) |
−0.726309 | + | 0.687369i | \(0.758766\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5.33157 | + | 14.6484i | 0.342020 | + | 0.939693i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.43969 | + | 2.49362i | 0.0919786 | + | 0.159312i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.63176 | + | 4.55834i | −0.167455 | + | 0.290040i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.29726 | − | 11.8066i | 0.272328 | − | 0.748214i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −5.19934 | −0.328179 | −0.164090 | − | 0.986445i | \(-0.552469\pi\) | ||||
−0.164090 | + | 0.986445i | \(0.552469\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.99226 | −0.439600 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −26.5783 | + | 4.68647i | −1.66440 | + | 0.293478i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 6.71688 | − | 11.6340i | 0.418988 | − | 0.725708i | −0.576850 | − | 0.816850i | \(-0.695718\pi\) |
0.995838 | + | 0.0911421i | \(0.0290518\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.21301 | − | 2.10100i | −0.0753728 | − | 0.130550i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 14.0544 | − | 5.11538i | 0.869944 | − | 0.316634i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −5.53849 | − | 9.59294i | −0.341518 | − | 0.591526i | 0.643197 | − | 0.765701i | \(-0.277608\pi\) |
−0.984715 | + | 0.174175i | \(0.944274\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −6.08512 | + | 10.5397i | −0.373806 | + | 0.647451i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 16.3687 | + | 19.5075i | 1.00175 | + | 1.19384i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 18.1489 | 1.10656 | 0.553279 | − | 0.832996i | \(-0.313376\pi\) | ||||
0.553279 | + | 0.832996i | \(0.313376\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.1557 | 0.799152 | 0.399576 | − | 0.916700i | \(-0.369157\pi\) | ||||
0.399576 | + | 0.916700i | \(0.369157\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −5.29813 | − | 6.31407i | −0.320658 | − | 0.382145i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −1.94949 | + | 3.37662i | −0.117559 | + | 0.203618i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.8983 | + | 20.6084i | 0.714898 | + | 1.23824i | 0.962999 | + | 0.269505i | \(0.0868601\pi\) |
−0.248101 | + | 0.968734i | \(0.579807\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −12.8097 | − | 10.7487i | −0.766899 | − | 0.643505i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.99660 | − | 10.3864i | −0.357727 | − | 0.619601i | 0.629854 | − | 0.776714i | \(-0.283115\pi\) |
−0.987581 | + | 0.157112i | \(0.949781\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.63223 | − | 13.2194i | 0.453689 | − | 0.785812i | −0.544923 | − | 0.838486i | \(-0.683441\pi\) |
0.998612 | + | 0.0526741i | \(0.0167745\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 5.43242 | − | 0.957882i | 0.321789 | − | 0.0567400i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −7.63816 | −0.450866 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.2841 | 0.722591 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −10.7189 | + | 29.4500i | −0.628355 | + | 1.72639i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 2.50727 | − | 4.34273i | 0.146477 | − | 0.253705i | −0.783446 | − | 0.621459i | \(-0.786540\pi\) |
0.929923 | + | 0.367755i | \(0.119873\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.8799 | − | 29.2368i | −0.982783 | − | 1.70223i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −5.33157 | − | 3.07818i | −0.309369 | − | 0.178614i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −14.0424 | − | 24.3221i | −0.812090 | − | 1.40658i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.78699 | − | 6.55926i | 0.218278 | − | 0.378069i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 10.4782 | − | 28.7886i | 0.601956 | − | 1.65386i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −5.71688 | −0.327348 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −15.1310 | −0.863574 | −0.431787 | − | 0.901976i | \(-0.642117\pi\) | ||||
−0.431787 | + | 0.901976i | \(0.642117\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −22.4782 | + | 3.96351i | −1.27874 | + | 0.225476i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.49407 | + | 4.31986i | −0.141426 | + | 0.244957i | −0.928034 | − | 0.372496i | \(-0.878502\pi\) |
0.786608 | + | 0.617453i | \(0.211835\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 12.7640 | + | 22.1079i | 0.721463 | + | 1.24961i | 0.960413 | + | 0.278579i | \(0.0898634\pi\) |
−0.238950 | + | 0.971032i | \(0.576803\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −1.50000 | + | 8.50692i | −0.0845154 | + | 0.479311i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 2.60694 | + | 4.51536i | 0.146421 | + | 0.253608i | 0.929902 | − | 0.367807i | \(-0.119891\pi\) |
−0.783481 | + | 0.621415i | \(0.786558\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −2.95336 | + | 5.11538i | −0.165357 | + | 0.286406i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −15.5326 | − | 18.5110i | −0.866943 | − | 1.03318i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −5.98545 | −0.333039 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.6604 | −0.868685 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 11.3229 | + | 13.4942i | 0.626160 | + | 0.746229i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.141559 | + | 0.245188i | −0.00780442 | + | 0.0135176i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.07263 | − | 3.58991i | −0.113922 | − | 0.197319i | 0.803426 | − | 0.595404i | \(-0.203008\pi\) |
−0.917348 | + | 0.398085i | \(0.869675\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1.26382 | − | 7.16750i | 0.0692571 | − | 0.392776i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 19.4932 | + | 33.7632i | 1.06503 | + | 1.84468i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.96064 | + | 3.39592i | −0.106803 | + | 0.184988i | −0.914473 | − | 0.404646i | \(-0.867395\pi\) |
0.807671 | + | 0.589634i | \(0.200728\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −9.68004 | + | 1.70685i | −0.525748 | + | 0.0927035i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.60401 | 0.357627 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −10.0667 | + | 27.6580i | −0.541973 | + | 1.48906i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.22534 | − | 10.7826i | 0.334194 | − | 0.578840i | −0.649136 | − | 0.760672i | \(-0.724869\pi\) |
0.983330 | + | 0.181832i | \(0.0582027\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.1976 | + | 31.5191i | 0.974094 | + | 1.68718i | 0.682892 | + | 0.730520i | \(0.260722\pi\) |
0.291203 | + | 0.956661i | \(0.405945\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 24.7273i | − | 1.31985i | ||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 14.9217 | + | 25.8452i | 0.794204 | + | 1.37560i | 0.923343 | + | 0.383975i | \(0.125445\pi\) |
−0.129139 | + | 0.991626i | \(0.541221\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.36231 | − | 12.7519i | 0.390751 | − | 0.676800i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 3.20574 | − | 8.80769i | 0.169666 | − | 0.466152i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 17.9540 | 0.947575 | 0.473788 | − | 0.880639i | \(-0.342886\pi\) | ||||
0.473788 | + | 0.880639i | \(0.342886\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.7766 | −0.935611 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −16.3687 | + | 2.88624i | −0.859134 | + | 0.151489i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −0.471782 | + | 0.817150i | −0.0246942 | + | 0.0427716i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.5089 | + | 18.2020i | 0.548561 | + | 0.950136i | 0.998373 | + | 0.0570129i | \(0.0181576\pi\) |
−0.449812 | + | 0.893123i | \(0.648509\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −17.5535 | − | 14.7291i | −0.913799 | − | 0.766768i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −2.11334 | − | 3.66041i | −0.109719 | − | 0.190039i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.9376 | − | 25.8727i | 0.773441 | − | 1.33964i | −0.162225 | − | 0.986754i | \(-0.551867\pi\) |
0.935666 | − | 0.352886i | \(-0.114800\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −5.47906 | − | 6.52968i | −0.282937 | − | 0.337191i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −23.7246 | −1.22188 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −0.985452 | −0.0506193 | −0.0253096 | − | 0.999680i | \(-0.508057\pi\) | ||||
−0.0253096 | + | 0.999680i | \(0.508057\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −22.3687 | − | 26.6580i | −1.14598 | − | 1.36573i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.994070 | + | 1.72178i | −0.0507946 | + | 0.0879789i | −0.890305 | − | 0.455365i | \(-0.849509\pi\) |
0.839510 | + | 0.543344i | \(0.182842\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.70574 | − | 2.95442i | −0.0869324 | − | 0.150571i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 21.3516 | − | 7.77136i | 1.08536 | − | 0.395040i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −7.04323 | − | 12.1992i | −0.357106 | − | 0.618526i | 0.630370 | − | 0.776295i | \(-0.282903\pi\) |
−0.987476 | + | 0.157769i | \(0.949570\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.9684 | − | 27.6580i | 0.807556 | − | 1.39873i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −13.1001 | + | 2.30991i | −0.660815 | + | 0.116519i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −30.2199 | −1.52053 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −17.3874 | −0.872650 | −0.436325 | − | 0.899789i | \(-0.643720\pi\) | ||||
−0.436325 | + | 0.899789i | \(0.643720\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −0.655230 | + | 1.80023i | −0.0328025 | + | 0.0901242i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.86871 | − | 10.1649i | 0.293069 | − | 0.507611i | −0.681465 | − | 0.731851i | \(-0.738657\pi\) |
0.974534 | + | 0.224240i | \(0.0719900\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 13.2626 | + | 22.9716i | 0.660659 | + | 1.14430i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −19.8516 | + | 16.6575i | −0.986436 | + | 0.827718i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.43717 | + | 2.48925i | 0.0712377 | + | 0.123387i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.26352 | − | 3.92053i | 0.111924 | − | 0.193858i | −0.804622 | − | 0.593787i | \(-0.797632\pi\) |
0.916546 | + | 0.399930i | \(0.130965\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 8.45265 | − | 23.2235i | 0.416938 | − | 1.14553i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 11.7246 | 0.576931 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 20.8871 | 1.02531 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 26.0620 | − | 4.59543i | 1.27626 | − | 0.225039i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −7.44609 | + | 12.8970i | −0.363765 | + | 0.630060i | −0.988577 | − | 0.150715i | \(-0.951842\pi\) |
0.624812 | + | 0.780775i | \(0.285176\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.7875 | − | 23.8806i | −0.671959 | − | 1.16387i | −0.977348 | − | 0.211640i | \(-0.932120\pi\) |
0.305388 | − | 0.952228i | \(-0.401214\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.798133 | + | 0.290497i | −0.0388066 | + | 0.0141244i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −8.90420 | − | 15.4225i | −0.431917 | − | 0.748102i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.992726 | − | 1.71945i | 0.0480414 | − | 0.0832101i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 6.27719 | + | 7.48086i | 0.303066 | + | 0.361179i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −25.5827 | −1.23227 | −0.616137 | − | 0.787639i | \(-0.711303\pi\) | ||||
−0.616137 | + | 0.787639i | \(0.711303\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −19.5425 | −0.939153 | −0.469577 | − | 0.882892i | \(-0.655593\pi\) | ||||
−0.469577 | + | 0.882892i | \(0.655593\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 15.9820 | + | 19.0467i | 0.766281 | + | 0.913218i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.26382 | + | 5.65311i | −0.156130 | + | 0.270425i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.78359 | + | 8.28541i | 0.228308 | + | 0.395441i | 0.957307 | − | 0.289074i | \(-0.0933473\pi\) |
−0.728999 | + | 0.684515i | \(0.760014\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −2.29813 | − | 1.92836i | −0.109435 | − | 0.0918268i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −7.92902 | − | 13.7335i | −0.376719 | − | 0.652496i | 0.613864 | − | 0.789412i | \(-0.289614\pi\) |
−0.990583 | + | 0.136916i | \(0.956281\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.1668 | + | 36.6620i | −1.00340 | + | 1.73795i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −24.5908 | + | 4.33602i | −1.16311 | + | 0.205087i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 30.0223 | 1.41684 | 0.708420 | − | 0.705791i | \(-0.249408\pi\) | ||||
0.708420 | + | 0.705791i | \(0.249408\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.04963 | 0.426130 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 6.99525 | − | 19.2193i | 0.328666 | − | 0.903001i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 6.85117 | − | 11.8666i | 0.321188 | − | 0.556313i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 8.71554 | + | 15.0958i | 0.407696 | + | 0.706150i | 0.994631 | − | 0.103484i | \(-0.0329991\pi\) |
−0.586935 | + | 0.809634i | \(0.699666\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 24.3516 | − | 14.0594i | 1.13664 | − | 0.656238i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −5.16684 | − | 8.94923i | −0.240644 | − | 0.416807i | 0.720254 | − | 0.693710i | \(-0.244025\pi\) |
−0.960898 | + | 0.276903i | \(0.910692\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.67958 | + | 8.10527i | −0.217478 | + | 0.376684i | −0.954036 | − | 0.299691i | \(-0.903117\pi\) |
0.736558 | + | 0.676374i | \(0.236450\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 9.50774 | − | 26.1223i | 0.440911 | − | 1.21139i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −24.7273 | −1.14424 | −0.572122 | − | 0.820169i | \(-0.693880\pi\) | ||||
−0.572122 | + | 0.820169i | \(0.693880\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −13.5398 | −0.625211 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 23.0620 | − | 4.06645i | 1.06264 | − | 0.187372i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −4.48680 | + | 7.77136i | −0.206303 | + | 0.357327i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.81996 | + | 3.15225i | 0.0835053 | + | 0.144635i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.20187 | − | 12.4874i | 0.100817 | − | 0.571759i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 19.1425 | + | 33.1558i | 0.874643 | + | 1.51493i | 0.857143 | + | 0.515079i | \(0.172237\pi\) |
0.0175001 | + | 0.999847i | \(0.494429\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −5.77244 | + | 9.99816i | −0.263201 | + | 0.455877i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −6.57057 | − | 7.83051i | −0.298971 | − | 0.356300i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −52.1002 | −2.36575 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.29498 | −0.0586811 | −0.0293405 | − | 0.999569i | \(-0.509341\pi\) | ||||
−0.0293405 | + | 0.999569i | \(0.509341\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 26.6802 | + | 31.7962i | 1.20652 | + | 1.43788i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.7160 | − | 20.2927i | 0.528736 | − | 0.915797i | −0.470703 | − | 0.882292i | \(-0.656000\pi\) |
0.999439 | − | 0.0335055i | \(-0.0106671\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −13.4893 | − | 23.3642i | −0.607529 | − | 1.05227i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 1.77719 | − | 10.0789i | 0.0798787 | − | 0.453015i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 2.55690 | + | 4.42869i | 0.114693 | + | 0.198654i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −17.3773 | + | 30.0984i | −0.777916 | + | 1.34739i | 0.155225 | + | 0.987879i | \(0.450390\pi\) |
−0.933141 | + | 0.359511i | \(0.882944\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 8.47906 | − | 1.49509i | 0.378816 | − | 0.0667955i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −8.61318 | −0.384043 | −0.192021 | − | 0.981391i | \(-0.561504\pi\) | ||||
−0.192021 | + | 0.981391i | \(0.561504\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 50.9299 | 2.26635 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −5.71419 | + | 15.6996i | −0.253776 | + | 0.697244i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 4.58125 | − | 7.93496i | 0.203060 | − | 0.351711i | −0.746453 | − | 0.665439i | \(-0.768245\pi\) |
0.949513 | + | 0.313728i | \(0.101578\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.163848 | − | 0.283793i | −0.00724821 | − | 0.0125543i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.97730 | + | 2.87365i | −0.219753 | + | 0.126875i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −18.9722 | − | 32.8609i | −0.836017 | − | 1.44802i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.167718 | − | 0.290497i | 0.00737625 | − | 0.0127760i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 14.9402 | − | 41.0478i | 0.655800 | − | 1.80180i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −9.13846 | −0.400363 | −0.200182 | − | 0.979759i | \(-0.564153\pi\) | ||||
−0.200182 | + | 0.979759i | \(0.564153\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.8821 | 0.519567 | 0.259783 | − | 0.965667i | \(-0.416349\pi\) | ||||
0.259783 | + | 0.965667i | \(0.416349\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −5.61334 | + | 0.989783i | −0.244986 | + | 0.0431977i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −15.0817 | + | 26.1223i | −0.656970 | + | 1.13791i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5.91488 | − | 10.2449i | −0.257169 | − | 0.445429i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 26.9447 | + | 22.6093i | 1.16930 | + | 0.981161i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 18.1741 | + | 31.4785i | 0.787208 | + | 1.36348i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 20.0856 | − | 34.7893i | 0.868376 | − | 1.50407i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.3247 | − | 12.3045i | −0.445544 | − | 0.530978i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 1.18479 | 0.0510326 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 16.9763 | 0.729867 | 0.364934 | − | 0.931034i | \(-0.381092\pi\) | ||||
0.364934 | + | 0.931034i | \(0.381092\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −14.8439 | − | 17.6903i | −0.637012 | − | 0.759162i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −14.6420 | + | 25.3607i | −0.627195 | + | 1.08633i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.830222 | + | 1.43799i | 0.0354977 | + | 0.0614839i | 0.883228 | − | 0.468943i | \(-0.155365\pi\) |
−0.847731 | + | 0.530427i | \(0.822032\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 5.59714 | − | 2.03719i | 0.238880 | − | 0.0869453i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.75712 | + | 4.77547i | 0.117457 | + | 0.203442i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.24763 | − | 9.08916i | 0.223152 | − | 0.386510i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 11.9153 | − | 2.10100i | 0.505778 | − | 0.0891823i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −23.0455 | −0.976470 | −0.488235 | − | 0.872712i | \(-0.662359\pi\) | ||||
−0.488235 | + | 0.872712i | \(0.662359\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −36.0428 | −1.52445 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −3.79813 | + | 10.4353i | −0.160357 | + | 0.440578i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 13.6985 | − | 23.7264i | 0.577321 | − | 0.999950i | −0.418464 | − | 0.908233i | \(-0.637431\pi\) |
0.995785 | − | 0.0917165i | \(-0.0292354\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −8.17024 | − | 14.1513i | −0.343725 | − | 0.595349i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.56283 | − | 8.86327i | −0.0656328 | − | 0.372222i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −20.1732 | − | 34.9411i | −0.845706 | − | 1.46481i | −0.885007 | − | 0.465579i | \(-0.845846\pi\) |
0.0393005 | − | 0.999227i | \(-0.487487\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.52182 | − | 4.36792i | 0.105535 | − | 0.182792i | −0.808422 | − | 0.588604i | \(-0.799678\pi\) |
0.913957 | + | 0.405812i | \(0.133011\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.19325 | − | 14.2683i | 0.216951 | − | 0.596068i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −19.4216 | −0.809936 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8.95037 | 0.372609 | 0.186304 | − | 0.982492i | \(-0.440349\pi\) | ||||
0.186304 | + | 0.982492i | \(0.440349\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 25.9991 | − | 4.58435i | 1.08049 | − | 0.190519i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.62701 | + | 6.28217i | −0.150474 | + | 0.260628i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.50387 | + | 4.33683i | 0.103700 | + | 0.179613i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 38.6279 | − | 14.0594i | 1.59707 | − | 0.581286i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 21.4572 | + | 37.1650i | 0.885635 | + | 1.53396i | 0.844984 | + | 0.534791i | \(0.179610\pi\) |
0.0406505 | + | 0.999173i | \(0.487057\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.08260 | − | 5.33921i | 0.127016 | − | 0.219998i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 9.62479 | + | 11.4704i | 0.395911 | + | 0.471828i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −20.6081 | −0.846274 | −0.423137 | − | 0.906066i | \(-0.639071\pi\) | ||||
−0.423137 | + | 0.906066i | \(0.639071\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 15.5817 | 0.638788 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −14.8905 | − | 17.7458i | −0.609429 | − | 0.726289i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −10.5321 | + | 18.2421i | −0.430329 | + | 0.745353i | −0.996902 | − | 0.0786597i | \(-0.974936\pi\) |
0.566572 | + | 0.824012i | \(0.308269\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.95424 | − | 15.5092i | −0.365251 | − | 0.632633i | 0.623565 | − | 0.781771i | \(-0.285684\pi\) |
−0.988816 | + | 0.149138i | \(0.952350\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −31.1163 | − | 26.1097i | −1.26716 | − | 1.06327i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −13.8157 | − | 23.9294i | −0.561687 | − | 0.972870i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −17.7618 | + | 30.7643i | −0.720928 | + | 1.24868i | 0.239701 | + | 0.970847i | \(0.422951\pi\) |
−0.960628 | + | 0.277837i | \(0.910383\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −8.50387 | + | 1.49946i | −0.344594 | + | 0.0607613i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 1.34730 | 0.0545058 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.19253 | −0.0885556 | −0.0442778 | − | 0.999019i | \(-0.514099\pi\) | ||||
−0.0442778 | + | 0.999019i | \(0.514099\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 13.0287 | − | 35.7960i | 0.525367 | − | 1.44343i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.7258 | − | 20.3097i | 0.472063 | − | 0.817637i | −0.527426 | − | 0.849601i | \(-0.676843\pi\) |
0.999489 | + | 0.0319637i | \(0.0101761\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −7.52481 | − | 13.0334i | −0.302448 | − | 0.523855i | 0.674242 | − | 0.738510i | \(-0.264470\pi\) |
−0.976690 | + | 0.214655i | \(0.931137\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | − | 30.6660i | − | 1.23058i | ||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.35117 | − | 12.7326i | −0.294518 | − | 0.510121i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.3123 | − | 26.5216i | 0.612491 | − | 1.06087i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0.776311 | − | 2.13290i | 0.0310029 | − | 0.0851797i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −13.1284 | −0.523462 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.854408 | −0.0340135 | −0.0170067 | − | 0.999855i | \(-0.505414\pi\) | ||||
−0.0170067 | + | 0.999855i | \(0.505414\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 12.4277 | − | 2.19133i | 0.493956 | − | 0.0870977i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 28.9256 | − | 50.1006i | 1.14788 | − | 1.98818i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.37939 | + | 4.12122i | 0.0942747 | + | 0.163289i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.66401 | + | 15.1084i | −0.105387 | + | 0.597677i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.58630 | − | 16.6040i | −0.378636 | − | 0.655817i | 0.612228 | − | 0.790681i | \(-0.290274\pi\) |
−0.990864 | + | 0.134864i | \(0.956940\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 16.7562 | − | 29.0227i | 0.660802 | − | 1.14454i | −0.319604 | − | 0.947551i | \(-0.603550\pi\) |
0.980405 | − | 0.196991i | \(-0.0631169\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 24.2802 | + | 28.9360i | 0.956031 | + | 1.13935i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 20.0966 | 0.790078 | 0.395039 | − | 0.918664i | \(-0.370731\pi\) | ||||
0.395039 | + | 0.918664i | \(0.370731\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −13.8912 | −0.545279 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 6.20574 | + | 7.39571i | 0.243222 | + | 0.289861i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −9.16179 | + | 15.8687i | −0.358528 | + | 0.620990i | −0.987715 | − | 0.156265i | \(-0.950055\pi\) |
0.629187 | + | 0.777254i | \(0.283388\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.0569 | − | 19.1511i | −0.432029 | − | 0.748296i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0.170711 | − | 0.968153i | 0.00666009 | − | 0.0377712i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 6.45976 | + | 11.1886i | 0.251637 | + | 0.435847i | 0.963977 | − | 0.265987i | \(-0.0856979\pi\) |
−0.712340 | + | 0.701835i | \(0.752365\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.91101 | + | 3.30996i | −0.0743296 | + | 0.128743i | −0.900795 | − | 0.434246i | \(-0.857015\pi\) |
0.826465 | + | 0.562988i | \(0.190348\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −43.9261 | + | 7.74535i | −1.70595 | + | 0.300805i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3.18479 | −0.123501 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −29.4225 | −1.13924 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −0.350233 | + | 0.962258i | −0.0135408 | + | 0.0372030i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −1.17617 | + | 2.03719i | −0.0454057 | + | 0.0786450i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 19.8045 | + | 34.3025i | 0.763409 | + | 1.32226i | 0.941084 | + | 0.338173i | \(0.109809\pi\) |
−0.177675 | + | 0.984089i | \(0.556858\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −14.8089 | − | 8.54990i | −0.569994 | − | 0.329086i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.1600 | + | 22.7937i | 0.505779 | + | 0.876035i | 0.999978 | + | 0.00668595i | \(0.00212822\pi\) |
−0.494199 | + | 0.869349i | \(0.664538\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 9.04710 | − | 15.6700i | 0.347196 | − | 0.601361i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.06355 | + | 5.66955i | −0.0790754 | + | 0.217258i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −25.2080 | −0.964558 | −0.482279 | − | 0.876018i | \(-0.660191\pi\) | ||||
−0.482279 | + | 0.876018i | \(0.660191\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 41.0847 | 1.56977 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −41.9634 | + | 7.39928i | −1.60100 | + | 0.282300i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −10.0569 | + | 17.4191i | −0.383138 | + | 0.663614i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.29473 | + | 16.0989i | 0.353588 | + | 0.612433i | 0.986875 | − | 0.161484i | \(-0.0516281\pi\) |
−0.633287 | + | 0.773917i | \(0.718295\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.72281 | + | 2.28471i | 0.103431 | + | 0.0867890i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 21.9971 | + | 38.1000i | 0.834396 | + | 1.44522i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −20.6668 | + | 35.7960i | −0.782812 | + | 1.35587i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −12.7105 | − | 15.1478i | −0.480755 | − | 0.572941i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −47.8580 | −1.80757 | −0.903786 | − | 0.427984i | \(-0.859224\pi\) | ||||
−0.903786 | + | 0.427984i | \(0.859224\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.68334 | 0.101204 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.907604 | − | 1.08164i | −0.0341823 | − | 0.0407369i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −8.84389 | + | 15.3181i | −0.332609 | + | 0.576095i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.69965 | + | 8.14002i | 0.176499 | + | 0.305705i | 0.940679 | − | 0.339298i | \(-0.110189\pi\) |
−0.764180 | + | 0.645003i | \(0.776856\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 29.5869 | − | 10.7688i | 1.10960 | − | 0.403860i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 16.4479 | + | 28.4886i | 0.615979 | + | 1.06691i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −8.11721 | + | 14.0594i | −0.303566 | + | 0.525793i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −6.98205 | + | 1.23112i | −0.260749 | + | 0.0459772i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −10.6895 | −0.398653 | −0.199326 | − | 0.979933i | \(-0.563875\pi\) | ||||
−0.199326 | + | 0.979933i | \(0.563875\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.1780 | 0.490774 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 4.26945 | − | 11.7302i | 0.158782 | − | 0.436251i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −8.20321 | + | 14.2084i | −0.304660 | + | 0.527686i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 25.5458 | + | 44.2466i | 0.947440 | + | 1.64101i | 0.750791 | + | 0.660540i | \(0.229673\pi\) |
0.196649 | + | 0.980474i | \(0.436994\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5000 | − | 23.3827i | 0.500000 | − | 0.866025i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −20.4932 | − | 35.4953i | −0.757968 | − | 1.31284i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −17.3949 | + | 30.1288i | −0.642494 | + | 1.11283i | 0.342380 | + | 0.939562i | \(0.388767\pi\) |
−0.984874 | + | 0.173271i | \(0.944566\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 1.70574 | − | 4.68647i | 0.0629171 | − | 0.172863i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 16.0419 | 0.590911 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −41.9469 | −1.54304 | −0.771520 | − | 0.636205i | \(-0.780503\pi\) | ||||
−0.771520 | + | 0.636205i | \(0.780503\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.97818 | − | 1.58310i | 0.329822 | − | 0.0581564i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −8.05809 | + | 13.9570i | −0.295622 | + | 0.512033i | −0.975130 | − | 0.221636i | \(-0.928860\pi\) |
0.679507 | + | 0.733669i | \(0.262194\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −20.7554 | − | 35.9494i | −0.760418 | − | 1.31708i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −20.4497 | + | 7.44307i | −0.748214 | + | 0.272328i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 6.97565 | + | 12.0822i | 0.254885 | + | 0.441473i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.6746 | + | 44.4697i | −0.936879 | + | 1.62272i | −0.165630 | + | 0.986188i | \(0.552966\pi\) |
−0.771249 | + | 0.636534i | \(0.780368\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 5.78864 | + | 6.89863i | 0.210950 | + | 0.251400i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 34.0009 | 1.23742 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 16.8553 | 0.612618 | 0.306309 | − | 0.951932i | \(-0.400906\pi\) | ||||
0.306309 | + | 0.951932i | \(0.400906\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 7.78477 | + | 9.27752i | 0.282569 | + | 0.336753i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.42333 | − | 2.46529i | 0.0515958 | − | 0.0893666i | −0.839074 | − | 0.544017i | \(-0.816903\pi\) |
0.890670 | + | 0.454651i | \(0.150236\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.08512 | − | 8.80769i | −0.184094 | − | 0.318860i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 35.8089 | + | 30.0472i | 1.29467 | + | 1.08636i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −27.8974 | − | 48.3197i | −1.00732 | − | 1.74472i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 18.9149 | − | 32.7616i | 0.682090 | − | 1.18141i | −0.292252 | − | 0.956341i | \(-0.594405\pi\) |
0.974342 | − | 0.225073i | \(-0.0722621\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −22.9145 | + | 4.04044i | −0.825244 | + | 0.145513i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.87702 | 0.103479 | 0.0517396 | − | 0.998661i | \(-0.483523\pi\) | ||||
0.0517396 | + | 0.998661i | \(0.483523\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 18.3432 | 0.658906 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.43717 | + | 3.94858i | −0.0515581 | + | 0.141655i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.22416 | − | 7.31645i | 0.151346 | − | 0.262139i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.02940 | − | 5.24708i | −0.108400 | − | 0.187755i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −22.4345 | − | 12.9526i | −0.801745 | − | 0.462888i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 19.4650 | + | 33.7143i | 0.694735 | + | 1.20332i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.0710 | + | 22.6397i | −0.465932 | + | 0.807018i | −0.999243 | − | 0.0389010i | \(-0.987614\pi\) |
0.533311 | + | 0.845919i | \(0.320948\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.56196 | + | 18.0288i | −0.233612 | + | 0.641843i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 5.67499 | 0.201779 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9.44831 | −0.335519 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 20.7592 | − | 3.66041i | 0.736254 | − | 0.129821i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 13.4568 | − | 23.3078i | 0.476663 | − | 0.825605i | −0.522979 | − | 0.852345i | \(-0.675179\pi\) |
0.999642 | + | 0.0267406i | \(0.00851282\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.766044 | + | 1.32683i | 0.0271007 | + | 0.0469398i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 7.65910 | − | 43.4369i | 0.270621 | − | 1.53477i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 0.194126 | + | 0.336236i | 0.00685055 | + | 0.0118655i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.49660 | − | 14.7165i | 0.299466 | − | 0.518690i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −20.2059 | − | 24.0805i | −0.711281 | − | 0.847672i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −32.4228 | −1.13993 | −0.569963 | − | 0.821670i | \(-0.693043\pi\) | ||||
−0.569963 | + | 0.821670i | \(0.693043\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −21.2754 | −0.747080 | −0.373540 | − | 0.927614i | \(-0.621856\pi\) | ||||
−0.373540 | + | 0.927614i | \(0.621856\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −14.6468 | − | 17.4553i | −0.513685 | − | 0.612186i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −34.5009 | + | 59.7574i | −1.20851 | + | 2.09321i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.18866 | + | 7.25498i | 0.146543 | + | 0.253820i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −2.47906 | + | 14.0594i | −0.0866252 | + | 0.491276i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −24.9354 | − | 43.1894i | −0.870252 | − | 1.50732i | −0.861736 | − | 0.507357i | \(-0.830623\pi\) |
−0.00851573 | − | 0.999964i | \(-0.502711\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.47296 | + | 16.4077i | −0.330207 | + | 0.571935i | −0.982552 | − | 0.185987i | \(-0.940452\pi\) |
0.652345 | + | 0.757922i | \(0.273785\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 6.65064 | − | 1.17269i | 0.231546 | − | 0.0408278i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.1489 | 0.422458 | 0.211229 | − | 0.977437i | \(-0.432253\pi\) | ||||
0.211229 | + | 0.977437i | \(0.432253\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 11.2189 | 0.389650 | 0.194825 | − | 0.980838i | \(-0.437586\pi\) | ||||
0.194825 | + | 0.980838i | \(0.437586\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 14.0970 | − | 38.7311i | 0.489019 | − | 1.34357i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.70574 | + | 4.68647i | −0.0937482 | + | 0.162377i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7.15657 | + | 12.3955i | 0.247663 | + | 0.428966i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 28.9632i | 1.00112i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −2.63516 | − | 4.56424i | −0.0909759 | − | 0.157575i | 0.816946 | − | 0.576714i | \(-0.195665\pi\) |
−0.907922 | + | 0.419139i | \(0.862332\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.07263 | − | 3.58991i | 0.0714701 | − | 0.123790i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −7.10472 | + | 19.5201i | −0.244700 | + | 0.672307i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −27.7743 | −0.955463 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 9.59627 | 0.329732 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −26.0371 | + | 4.59105i | −0.893592 | + | 0.157564i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −7.15880 | + | 12.3994i | −0.245400 | + | 0.425046i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.94222 | + | 3.36402i | 0.0665003 | + | 0.115182i | 0.897359 | − | 0.441302i | \(-0.145483\pi\) |
−0.830858 | + | 0.556484i | \(0.812150\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −7.31908 | − | 6.14144i | −0.250307 | − | 0.210033i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −9.50253 | − | 16.4589i | −0.324600 | − | 0.562224i | 0.656831 | − | 0.754038i | \(-0.271896\pi\) |
−0.981431 | + | 0.191814i | \(0.938563\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −25.4513 | + | 44.0830i | −0.868387 | + | 1.50409i | −0.00474324 | + | 0.999989i | \(0.501510\pi\) |
−0.863644 | + | 0.504102i | \(0.831824\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 8.50387 | + | 10.1345i | 0.289811 | + | 0.345383i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −12.7615 | −0.434405 | −0.217203 | − | 0.976127i | \(-0.569693\pi\) | ||||
−0.217203 | + | 0.976127i | \(0.569693\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 72.6177 | 2.46908 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −13.6763 | − | 16.2988i | −0.464473 | − | 0.553537i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −6.21735 | + | 10.7688i | −0.210909 | + | 0.365305i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 32.2165 | + | 55.8006i | 1.09161 | + | 1.89073i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 51.0090 | − | 18.5658i | 1.72639 | − | 0.628355i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.46064 | + | 4.26195i | 0.0831847 | + | 0.144080i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −7.12226 | + | 12.3361i | −0.240502 | + | 0.416561i | −0.960857 | − | 0.277044i | \(-0.910645\pi\) |
0.720356 | + | 0.693605i | \(0.243979\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −8.55350 | + | 1.50821i | −0.288502 | + | 0.0508708i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 38.3286 | 1.29132 | 0.645662 | − | 0.763623i | \(-0.276581\pi\) | ||||
0.645662 | + | 0.763623i | \(0.276581\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 42.6483 | 1.43523 | 0.717614 | − | 0.696441i | \(-0.245234\pi\) | ||||
0.717614 | + | 0.696441i | \(0.245234\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −19.9991 | + | 54.9471i | −0.672263 | + | 1.84703i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 11.2117 | − | 19.4192i | 0.376451 | − | 0.652032i | −0.614092 | − | 0.789234i | \(-0.710478\pi\) |
0.990543 | + | 0.137202i | \(0.0438110\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 10.0458 | + | 17.3998i | 0.336924 | + | 0.583569i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 1.85163 | + | 10.5011i | 0.0620321 | + | 0.351801i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −0.156574 | − | 0.271194i | −0.00523955 | − | 0.00907517i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 13.3512 | − | 23.1249i | 0.446280 | − | 0.772980i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −16.6373 | + | 45.7105i | −0.555503 | + | 1.52623i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 27.7888 | 0.926808 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −22.8726 | −0.761996 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −12.9192 | + | 2.27801i | −0.429925 | + | 0.0758073i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 19.1951 | − | 33.2468i | 0.638065 | − | 1.10516i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 21.6584 | + | 37.5134i | 0.719155 | + | 1.24561i | 0.961335 | + | 0.275381i | \(0.0888042\pi\) |
−0.242180 | + | 0.970231i | \(0.577863\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −49.8632 | + | 18.1487i | −1.65386 | + | 0.601956i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 4.44310 | + | 7.69567i | 0.147206 | + | 0.254969i | 0.930194 | − | 0.367068i | \(-0.119639\pi\) |
−0.782988 | + | 0.622037i | \(0.786305\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 4.29726 | − | 7.44307i | 0.142218 | − | 0.246330i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.36484 | + | 7.58532i | 0.210415 | + | 0.250763i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 7.68004 | 0.253617 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 8.57398 | 0.282829 | 0.141415 | − | 0.989950i | \(-0.454835\pi\) | ||||
0.141415 | + | 0.989950i | \(0.454835\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 16.8460 | + | 20.0763i | 0.555095 | + | 0.661536i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 12.1677 | − | 21.0751i | 0.400505 | − | 0.693696i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.99185 | + | 6.91408i | 0.131251 | + | 0.227334i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 30.2848 | + | 25.4119i | 0.994682 | + | 0.834638i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −0.825474 | − | 1.42976i | −0.0270829 | − | 0.0469090i | 0.852166 | − | 0.523271i | \(-0.175288\pi\) |
−0.879249 | + | 0.476362i | \(0.841955\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.553033 | − | 0.957882i | 0.0181249 | − | 0.0313933i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 8.50846 | − | 1.50027i | 0.278554 | − | 0.0491166i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −18.4611 | −0.603743 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 47.4953 | 1.55160 | 0.775801 | − | 0.630978i | \(-0.217346\pi\) | ||||
0.775801 | + | 0.630978i | \(0.217346\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 15.1227 | − | 41.5492i | 0.493510 | − | 1.35591i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 11.6964 | − | 20.2588i | 0.381292 | − | 0.660417i | −0.609955 | − | 0.792436i | \(-0.708813\pi\) |
0.991247 | + | 0.132019i | \(0.0421460\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 22.5390 | + | 39.0386i | 0.733969 | + | 1.27127i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 12.9572 | − | 7.48086i | 0.421499 | − | 0.243352i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 1.96363 | + | 3.40111i | 0.0638094 | + | 0.110521i | 0.896165 | − | 0.443720i | \(-0.146342\pi\) |
−0.832356 | + | 0.554242i | \(0.813008\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.779715 | + | 1.35051i | −0.0253106 | + | 0.0438393i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 3.08869 | − | 8.48610i | 0.100158 | − | 0.275181i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 2.42427 | 0.0785297 | 0.0392649 | − | 0.999229i | \(-0.487498\pi\) | ||||
0.0392649 | + | 0.999229i | \(0.487498\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 25.2422 | 0.816817 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 10.0753 | − | 1.77655i | 0.325689 | − | 0.0574277i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −7.13429 | + | 12.3569i | −0.230378 | + | 0.399027i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.0346151 | − | 0.0599551i | −0.00111662 | − | 0.00193404i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.26786 | + | 41.2181i | −0.234203 | + | 1.32823i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 21.9440 | + | 38.0082i | 0.706403 | + | 1.22353i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.35844 | − | 11.0131i | 0.204474 | − | 0.354159i | −0.745491 | − | 0.666515i | \(-0.767785\pi\) |
0.949965 | + | 0.312357i | \(0.101118\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 6.66385 | + | 7.94166i | 0.214074 | + | 0.255123i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 25.6236 | 0.822301 | 0.411150 | − | 0.911568i | \(-0.365127\pi\) | ||||
0.411150 | + | 0.911568i | \(0.365127\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −15.2790 | −0.489822 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 17.4354 | + | 20.7787i | 0.558380 | + | 0.665451i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −22.9979 | + | 39.8336i | −0.735769 | + | 1.27439i | 0.218616 | + | 0.975811i | \(0.429846\pi\) |
−0.954385 | + | 0.298579i | \(0.903487\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.70961 | + | 15.0855i | 0.278360 | + | 0.482134i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.29813 | − | 30.0472i | 0.169156 | − | 0.959333i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 1.36231 | + | 2.35959i | 0.0434510 | + | 0.0752593i | 0.886933 | − | 0.461898i | \(-0.152831\pi\) |
−0.843482 | + | 0.537157i | \(0.819498\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.4461 | + | 21.5573i | −0.396565 | + | 0.686871i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.482926 | − | 0.0851529i | 0.0153717 | − | 0.00271045i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −44.6991 | −1.42135 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 50.2303 | 1.59562 | 0.797809 | − | 0.602910i | \(-0.205992\pi\) | ||||
0.797809 | + | 0.602910i | \(0.205992\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −2.45564 | + | 6.74682i | −0.0779274 | + | 0.214104i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 19.2554 | − | 33.3513i | 0.610436 | − | 1.05731i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −21.6263 | − | 37.4578i | −0.684912 | − | 1.18630i | −0.973465 | − | 0.228838i | \(-0.926507\pi\) |
0.288553 | − | 0.957464i | \(-0.406826\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −10.9171 | + | 6.30299i | −0.345402 | + | 0.199418i |
(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 | 1008.2.r.i.337.1 | 6 | ||
3.2 | odd | 2 | 3024.2.r.h.1009.1 | 6 | |||
4.3 | odd | 2 | 504.2.r.c.337.3 | yes | 6 | ||
9.2 | odd | 6 | 3024.2.r.h.2017.1 | 6 | |||
9.4 | even | 3 | 9072.2.a.br.1.1 | 3 | |||
9.5 | odd | 6 | 9072.2.a.cc.1.3 | 3 | |||
9.7 | even | 3 | inner | 1008.2.r.i.673.1 | 6 | ||
12.11 | even | 2 | 1512.2.r.c.1009.1 | 6 | |||
36.7 | odd | 6 | 504.2.r.c.169.3 | ✓ | 6 | ||
36.11 | even | 6 | 1512.2.r.c.505.1 | 6 | |||
36.23 | even | 6 | 4536.2.a.v.1.3 | 3 | |||
36.31 | odd | 6 | 4536.2.a.s.1.1 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.r.c.169.3 | ✓ | 6 | 36.7 | odd | 6 | ||
504.2.r.c.337.3 | yes | 6 | 4.3 | odd | 2 | ||
1008.2.r.i.337.1 | 6 | 1.1 | even | 1 | trivial | ||
1008.2.r.i.673.1 | 6 | 9.7 | even | 3 | inner | ||
1512.2.r.c.505.1 | 6 | 36.11 | even | 6 | |||
1512.2.r.c.1009.1 | 6 | 12.11 | even | 2 | |||
3024.2.r.h.1009.1 | 6 | 3.2 | odd | 2 | |||
3024.2.r.h.2017.1 | 6 | 9.2 | odd | 6 | |||
4536.2.a.s.1.1 | 3 | 36.31 | odd | 6 | |||
4536.2.a.v.1.3 | 3 | 36.23 | even | 6 | |||
9072.2.a.br.1.1 | 3 | 9.4 | even | 3 | |||
9072.2.a.cc.1.3 | 3 | 9.5 | odd | 6 |