Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(25,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 8, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.x (of order \(10\), degree \(4\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 25.9 | ||
Character | \(\chi\) | \(=\) | 572.25 |
Dual form | 572.2.x.a.389.9 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.268029 | + | 0.824907i | 0.154746 | + | 0.476261i | 0.998135 | − | 0.0610434i | \(-0.0194428\pi\) |
−0.843389 | + | 0.537304i | \(0.819443\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.0443935 | + | 0.0611023i | −0.0198534 | + | 0.0273258i | −0.818828 | − | 0.574039i | \(-0.805376\pi\) |
0.798975 | + | 0.601364i | \(0.205376\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.23222 | + | 0.725291i | 0.843698 | + | 0.274134i | 0.698804 | − | 0.715313i | \(-0.253716\pi\) |
0.144894 | + | 0.989447i | \(0.453716\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 1.81842 | − | 1.32116i | 0.606139 | − | 0.440386i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.201919 | − | 3.31047i | 0.0608808 | − | 0.998145i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.06077 | − | 3.44598i | −0.294206 | − | 0.955742i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −0.0623025 | − | 0.0202433i | −0.0160864 | − | 0.00522680i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.53997 | + | 4.02503i | 1.34364 | + | 0.976212i | 0.999302 | + | 0.0373673i | \(0.0118972\pi\) |
0.344340 | + | 0.938845i | \(0.388103\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.23156 | + | 0.725078i | −0.511955 | + | 0.166344i | −0.553591 | − | 0.832789i | \(-0.686743\pi\) |
0.0416362 | + | 0.999133i | \(0.486743\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.03577i | 0.444241i | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.12468 | −0.234512 | −0.117256 | − | 0.993102i | \(-0.537410\pi\) | ||||
−0.117256 | + | 0.993102i | \(0.537410\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.54332 | + | 4.74986i | 0.308664 | + | 0.949971i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.68235 | + | 2.67538i | 0.708668 | + | 0.514877i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −0.0774921 | + | 0.238496i | −0.0143899 | + | 0.0442876i | −0.957994 | − | 0.286789i | \(-0.907412\pi\) |
0.943604 | + | 0.331077i | \(0.107412\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.73805 | + | 2.39221i | 0.312162 | + | 0.429654i | 0.936054 | − | 0.351856i | \(-0.114449\pi\) |
−0.623892 | + | 0.781511i | \(0.714449\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.78495 | − | 0.720737i | 0.484798 | − | 0.125464i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −0.143413 | + | 0.104195i | −0.0242412 | + | 0.0176122i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.69257 | − | 0.549950i | −0.278257 | − | 0.0904113i | 0.166564 | − | 0.986031i | \(-0.446733\pi\) |
−0.444821 | + | 0.895619i | \(0.646733\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.55829 | − | 1.79866i | 0.409655 | − | 0.288016i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7.12738 | − | 2.31583i | 1.11311 | − | 0.361671i | 0.305975 | − | 0.952039i | \(-0.401017\pi\) |
0.807134 | + | 0.590368i | \(0.201017\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.30250 | −0.198629 | −0.0993144 | − | 0.995056i | \(-0.531665\pi\) | ||||
−0.0993144 | + | 0.995056i | \(0.531665\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.169760i | 0.0253064i | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.07499 | − | 0.674205i | 0.302668 | − | 0.0983428i | −0.153746 | − | 0.988110i | \(-0.549134\pi\) |
0.456414 | + | 0.889768i | \(0.349134\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.20638 | − | 0.876487i | −0.172340 | − | 0.125212i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.83540 | + | 5.64879i | −0.257008 | + | 0.790989i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.51307 | − | 4.73202i | 0.894639 | − | 0.649993i | −0.0424443 | − | 0.999099i | \(-0.513515\pi\) |
0.937083 | + | 0.349105i | \(0.113515\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.193314 | + | 0.159301i | 0.0260664 | + | 0.0214801i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.19624 | − | 1.64649i | −0.158446 | − | 0.218083i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −7.19999 | − | 2.33942i | −0.937358 | − | 0.304566i | −0.199790 | − | 0.979839i | \(-0.564026\pi\) |
−0.737568 | + | 0.675273i | \(0.764026\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.04460 | − | 2.93857i | −0.517858 | − | 0.376246i | 0.297938 | − | 0.954585i | \(-0.403701\pi\) |
−0.815796 | + | 0.578339i | \(0.803701\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 5.01732 | − | 1.63023i | 0.632123 | − | 0.205389i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.257649 | + | 0.0881631i | 0.0319574 | + | 0.0109353i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 10.2061i | 1.24687i | 0.781875 | + | 0.623436i | \(0.214264\pi\) | ||||
−0.781875 | + | 0.623436i | \(0.785736\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.301447 | − | 0.927757i | −0.0362899 | − | 0.111689i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.14983 | + | 9.84089i | −0.848528 | + | 1.16790i | 0.135657 | + | 0.990756i | \(0.456686\pi\) |
−0.984185 | + | 0.177143i | \(0.943314\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.0405 | − | 3.58728i | −1.29219 | − | 0.419859i | −0.419334 | − | 0.907832i | \(-0.637736\pi\) |
−0.872859 | + | 0.487973i | \(0.837736\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −3.50454 | + | 2.54620i | −0.404669 | + | 0.294009i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.85178 | − | 7.24324i | 0.324991 | − | 0.825444i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.9485 | + | 8.68107i | −1.34431 | + | 0.976697i | −0.345034 | + | 0.938590i | \(0.612133\pi\) |
−0.999274 | + | 0.0381070i | \(0.987867\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.863755 | − | 2.65836i | 0.0959727 | − | 0.295374i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 3.27816 | − | 4.51200i | 0.359825 | − | 0.495256i | −0.590275 | − | 0.807202i | \(-0.700981\pi\) |
0.950100 | + | 0.311946i | \(0.100981\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.491877 | + | 0.159821i | −0.0533516 | + | 0.0173350i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.217507 | −0.0233192 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 5.61967i | − | 0.595684i | −0.954615 | − | 0.297842i | \(-0.903733\pi\) | ||
0.954615 | − | 0.297842i | \(-0.0962669\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.131460 | − | 8.46153i | 0.0137807 | − | 0.887010i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −1.50751 | + | 2.07491i | −0.156321 | + | 0.215158i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.0547627 | − | 0.168542i | 0.00561853 | − | 0.0172921i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 8.37607 | + | 11.5287i | 0.850461 | + | 1.17056i | 0.983761 | + | 0.179484i | \(0.0574427\pi\) |
−0.133300 | + | 0.991076i | \(0.542557\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −4.00648 | − | 6.28659i | −0.402667 | − | 0.631826i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 7.21145 | − | 5.23942i | 0.717566 | − | 0.521342i | −0.168040 | − | 0.985780i | \(-0.553744\pi\) |
0.885606 | + | 0.464438i | \(0.153744\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.0934082 | − | 0.287481i | 0.00920378 | − | 0.0283263i | −0.946349 | − | 0.323146i | \(-0.895260\pi\) |
0.955553 | + | 0.294820i | \(0.0952595\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.124390 | − | 0.0903748i | −0.0121392 | − | 0.00881968i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.29850 | − | 3.99637i | −0.125531 | − | 0.386344i | 0.868467 | − | 0.495748i | \(-0.165106\pi\) |
−0.993997 | + | 0.109404i | \(0.965106\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 8.18100i | − | 0.783598i | −0.920051 | − | 0.391799i | \(-0.871853\pi\) | ||
0.920051 | − | 0.391799i | \(-0.128147\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 1.54362i | − | 0.146514i | ||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −1.72989 | − | 5.32405i | −0.162734 | − | 0.500845i | 0.836128 | − | 0.548535i | \(-0.184814\pi\) |
−0.998862 | + | 0.0476899i | \(0.984814\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.0499285 | − | 0.0687206i | 0.00465585 | − | 0.00640823i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.48161 | − | 4.86478i | −0.599225 | − | 0.449749i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 9.44710 | + | 13.0028i | 0.866014 | + | 1.19197i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.9185 | − | 1.33689i | −0.992587 | − | 0.121536i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.82068 | + | 5.25872i | 0.344499 | + | 0.474163i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.717891 | − | 0.233257i | −0.0642102 | − | 0.0208631i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −14.9405 | − | 10.8549i | −1.32575 | − | 0.963215i | −0.999841 | − | 0.0178150i | \(-0.994329\pi\) |
−0.325911 | − | 0.945400i | \(-0.605671\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.349106 | − | 1.07444i | −0.0307371 | − | 0.0945991i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −9.41882 | −0.822926 | −0.411463 | − | 0.911426i | \(-0.634982\pi\) | ||||
−0.411463 | + | 0.911426i | \(0.634982\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.50721 | −0.477536 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −0.326944 | + | 0.106231i | −0.0281389 | + | 0.00914287i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −8.50836 | + | 11.7108i | −0.726918 | + | 1.00052i | 0.272347 | + | 0.962199i | \(0.412200\pi\) |
−0.999266 | + | 0.0383182i | \(0.987800\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.814232 | + | 2.50595i | −0.0690622 | + | 0.212552i | −0.979631 | − | 0.200806i | \(-0.935644\pi\) |
0.910569 | + | 0.413357i | \(0.135644\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1.11231 | + | 1.53097i | 0.0936736 | + | 0.128931i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −11.6220 | + | 2.81586i | −0.971881 | + | 0.235474i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0111325 | − | 0.0153226i | −0.000924507 | − | 0.00127247i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.399676 | − | 1.23008i | 0.0329647 | − | 0.101455i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.674366 | − | 0.928186i | 0.0552462 | − | 0.0760399i | −0.780500 | − | 0.625156i | \(-0.785035\pi\) |
0.835746 | + | 0.549116i | \(0.185035\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.27215 | + | 1.06319i | −0.266284 | + | 0.0865210i | −0.439116 | − | 0.898430i | \(-0.644708\pi\) |
0.172832 | + | 0.984951i | \(0.444708\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 15.3917 | 1.24434 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.223328 | −0.0179381 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.93333 | − | 15.1832i | −0.393723 | − | 1.21175i | −0.929952 | − | 0.367682i | \(-0.880152\pi\) |
0.536229 | − | 0.844073i | \(-0.319848\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 5.64917 | + | 4.10436i | 0.448008 | + | 0.325497i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.51053 | − | 0.815720i | −0.197857 | − | 0.0642878i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.84457 | + | 12.1735i | 0.692760 | + | 0.953503i | 0.999998 | + | 0.00186998i | \(0.000595235\pi\) |
−0.307238 | + | 0.951633i | \(0.599405\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.0795950 | + | 0.202163i | −0.00619646 | + | 0.0157384i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −11.8138 | − | 16.2604i | −0.914183 | − | 1.25826i | −0.965718 | − | 0.259593i | \(-0.916411\pi\) |
0.0515354 | − | 0.998671i | \(-0.483589\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.7495 | + | 7.31081i | −0.826886 | + | 0.562370i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −3.09997 | + | 4.26674i | −0.237060 | + | 0.326286i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.19978 | − | 6.77022i | −0.167246 | − | 0.514731i | 0.831949 | − | 0.554853i | \(-0.187225\pi\) |
−0.999195 | + | 0.0401220i | \(0.987225\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 11.7221i | 0.886105i | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 6.56635i | − | 0.493557i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.25715 | + | 19.2575i | 0.467682 | + | 1.43938i | 0.855579 | + | 0.517673i | \(0.173202\pi\) |
−0.387897 | + | 0.921703i | \(0.626798\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −10.5449 | − | 7.66129i | −0.783793 | − | 0.569459i | 0.122322 | − | 0.992490i | \(-0.460966\pi\) |
−0.906115 | + | 0.423031i | \(0.860966\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 1.33998 | − | 4.12404i | 0.0990544 | − | 0.304858i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0.108742 | − | 0.0790060i | 0.00799490 | − | 0.00580864i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 14.4434 | − | 17.5272i | 1.05620 | − | 1.28172i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 6.27936 | + | 8.64280i | 0.456756 | + | 0.628671i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.50888 | + | 10.7992i | −0.253894 | + | 0.781404i | 0.740152 | + | 0.672439i | \(0.234753\pi\) |
−0.994046 | + | 0.108964i | \(0.965247\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.7966 | − | 17.6130i | 0.921118 | − | 1.26781i | −0.0421073 | − | 0.999113i | \(-0.513407\pi\) |
0.963225 | − | 0.268696i | \(-0.0865929\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −0.00366912 | + | 0.236167i | −0.000262751 | + | 0.0169122i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 23.7957i | 1.69537i | 0.530500 | + | 0.847685i | \(0.322004\pi\) | ||||
−0.530500 | + | 0.847685i | \(0.677996\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −12.8012 | −0.907451 | −0.453725 | − | 0.891142i | \(-0.649905\pi\) | ||||
−0.453725 | + | 0.891142i | \(0.649905\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −8.41907 | + | 2.73552i | −0.593835 | + | 0.192949i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −0.345958 | + | 0.476171i | −0.0242815 | + | 0.0334206i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.174907 | + | 0.538307i | −0.0122160 | + | 0.0375970i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.04514 | + | 1.48588i | −0.142147 | + | 0.103276i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1.94976 | + | 7.53392i | 0.134867 | + | 0.521132i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.51595 | + | 1.82794i | −0.173205 | + | 0.125841i | −0.671010 | − | 0.741448i | \(-0.734139\pi\) |
0.497805 | + | 0.867289i | \(0.334139\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −10.0342 | − | 3.26030i | −0.687531 | − | 0.223392i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.0578223 | − | 0.0795856i | 0.00394345 | − | 0.00542769i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.14464 | + | 6.60053i | 0.145588 | + | 0.448073i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | − | 10.0689i | − | 0.680392i | ||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 7.99349 | − | 23.3603i | 0.537700 | − | 1.57138i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −10.9171 | + | 3.54717i | −0.731061 | + | 0.237536i | −0.650812 | − | 0.759239i | \(-0.725572\pi\) |
−0.0802490 | + | 0.996775i | \(0.525572\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 9.08172 | + | 6.59825i | 0.605448 | + | 0.439884i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −5.12105 | − | 1.66393i | −0.339896 | − | 0.110439i | 0.134095 | − | 0.990968i | \(-0.457187\pi\) |
−0.473991 | + | 0.880530i | \(0.657187\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.9307 | + | 19.1739i | 0.920565 | + | 1.26705i | 0.963428 | + | 0.267968i | \(0.0863521\pi\) |
−0.0428629 | + | 0.999081i | \(0.513648\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 6.73936 | + | 0.411060i | 0.443417 | + | 0.0270458i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 18.4259 | − | 13.3872i | 1.20712 | − | 0.877025i | 0.212155 | − | 0.977236i | \(-0.431952\pi\) |
0.994966 | + | 0.100211i | \(0.0319519\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.0509204 | + | 0.156717i | −0.00332168 | + | 0.0102231i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −10.3636 | − | 7.52961i | −0.673189 | − | 0.489100i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 19.1942 | − | 6.23657i | 1.24157 | − | 0.403410i | 0.386677 | − | 0.922215i | \(-0.373623\pi\) |
0.854893 | + | 0.518805i | \(0.173623\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.98765i | 0.643361i | 0.946848 | + | 0.321681i | \(0.104248\pi\) | ||||
−0.946848 | + | 0.321681i | \(0.895752\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 16.0793 | 1.03149 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0.107111 | − | 0.0348024i | 0.00684306 | − | 0.00222344i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.86578 | + | 6.92076i | 0.309602 | + | 0.440357i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.60062 | + | 1.49483i | 0.291553 | + | 0.0947312i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 20.4673 | − | 14.8704i | 1.29188 | − | 0.938609i | 0.292043 | − | 0.956405i | \(-0.405665\pi\) |
0.999842 | + | 0.0177963i | \(0.00566502\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.227094 | + | 3.72322i | −0.0142773 | + | 0.234077i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −0.263674 | − | 0.362917i | −0.0165119 | − | 0.0227267i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.92217 | + | 8.99351i | −0.182280 | + | 0.561000i | −0.999891 | − | 0.0147710i | \(-0.995298\pi\) |
0.817611 | + | 0.575771i | \(0.195298\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.37931 | − | 2.45521i | −0.209980 | − | 0.152560i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.174178 | + | 0.536065i | 0.0107814 | + | 0.0331816i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 12.2357 | 0.754484 | 0.377242 | − | 0.926115i | \(-0.376873\pi\) | ||||
0.377242 | + | 0.926115i | \(0.376873\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.608035i | 0.0373513i | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 4.63571 | − | 1.50623i | 0.283701 | − | 0.0921800i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −0.408835 | − | 0.297036i | −0.0249271 | − | 0.0181106i | 0.575252 | − | 0.817976i | \(-0.304904\pi\) |
−0.600179 | + | 0.799866i | \(0.704904\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −22.4486 | − | 7.29399i | −1.36366 | − | 0.443079i | −0.466394 | − | 0.884577i | \(-0.654447\pi\) |
−0.897262 | + | 0.441499i | \(0.854447\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 7.01522 | − | 2.15949i | 0.424580 | − | 0.130698i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 16.0359 | − | 4.15004i | 0.967001 | − | 0.250257i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.6800 | + | 8.48603i | −0.701784 | + | 0.509876i | −0.880513 | − | 0.474022i | \(-0.842802\pi\) |
0.178729 | + | 0.983898i | \(0.442802\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 6.32099 | + | 2.05381i | 0.378428 | + | 0.122959i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 12.7496 | − | 17.5483i | 0.760576 | − | 1.04684i | −0.236590 | − | 0.971610i | \(-0.576030\pi\) |
0.997166 | − | 0.0752337i | \(-0.0239703\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −1.79720 | − | 5.53121i | −0.106832 | − | 0.328796i | 0.883324 | − | 0.468763i | \(-0.155300\pi\) |
−0.990156 | + | 0.139967i | \(0.955300\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.153710 | 0.00910498 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 17.5895 | 1.03827 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 9.23719 | + | 28.4291i | 0.543364 | + | 1.67230i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −7.26506 | + | 9.99950i | −0.425885 | + | 0.586181i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −19.9971 | − | 6.49745i | −1.16824 | − | 0.379585i | −0.340256 | − | 0.940333i | \(-0.610514\pi\) |
−0.827987 | + | 0.560747i | \(0.810514\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0.462576 | − | 0.336081i | 0.0269322 | − | 0.0195674i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 9.60031 | − | 11.6501i | 0.557066 | − | 0.676007i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.19303 | + | 3.87562i | 0.0689948 | + | 0.224133i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.90745 | − | 0.944688i | −0.167583 | − | 0.0544509i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 6.25491 | + | 4.54446i | 0.359335 | + | 0.261072i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.359108 | − | 0.116681i | 0.0205624 | − | 0.00668114i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.674788i | 0.0385122i | 0.999815 | + | 0.0192561i | \(0.00612978\pi\) | ||||
−0.999815 | + | 0.0192561i | \(0.993870\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.262181 | 0.0149150 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.437944 | − | 1.34785i | −0.0248335 | − | 0.0764297i | 0.937872 | − | 0.346982i | \(-0.112794\pi\) |
−0.962705 | + | 0.270553i | \(0.912794\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 14.1220 | + | 10.2602i | 0.798222 | + | 0.579942i | 0.910392 | − | 0.413747i | \(-0.135780\pi\) |
−0.112170 | + | 0.993689i | \(0.535780\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.123126 | + | 0.378942i | −0.00693734 | + | 0.0213509i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −11.3426 | − | 15.6118i | −0.637065 | − | 0.876845i | 0.361389 | − | 0.932415i | \(-0.382303\pi\) |
−0.998455 | + | 0.0555697i | \(0.982303\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.773888 | + | 0.304692i | 0.0433294 | + | 0.0170595i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.94860 | − | 2.14228i | 0.164575 | − | 0.119571i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −15.2812 | − | 4.96518i | −0.850271 | − | 0.276270i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 14.7308 | − | 10.3568i | 0.817117 | − | 0.574491i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 6.74857 | − | 2.19274i | 0.373197 | − | 0.121259i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.12081 | 0.282320 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 23.9015i | 1.31375i | 0.754001 | + | 0.656873i | \(0.228121\pi\) | ||||
−0.754001 | + | 0.656873i | \(0.771879\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.80438 | + | 1.23612i | −0.208479 | + | 0.0677388i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −0.623615 | − | 0.453083i | −0.0340718 | − | 0.0247546i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −8.15890 | + | 25.1105i | −0.444444 | + | 1.36786i | 0.438649 | + | 0.898658i | \(0.355457\pi\) |
−0.883093 | + | 0.469198i | \(0.844543\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.92819 | − | 2.85400i | 0.213350 | − | 0.155008i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 8.27031 | − | 5.27072i | 0.447862 | − | 0.285425i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −11.7143 | − | 16.1233i | −0.632512 | − | 0.870578i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0.0700704 | + | 0.0227673i | 0.00377246 | + | 0.00122575i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 18.3519 | + | 13.3335i | 0.985183 | + | 0.715778i | 0.958861 | − | 0.283876i | \(-0.0916204\pi\) |
0.0263223 | + | 0.999654i | \(0.491620\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 15.6882 | − | 5.09741i | 0.839771 | − | 0.272858i | 0.142616 | − | 0.989778i | \(-0.454449\pi\) |
0.697155 | + | 0.716920i | \(0.254449\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.31316 | − | 15.5273i | 0.283596 | − | 0.828783i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 21.8132i | 1.16100i | 0.814260 | + | 0.580500i | \(0.197143\pi\) | ||||
−0.814260 | + | 0.580500i | \(0.802857\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.283896 | − | 0.873742i | −0.0150676 | − | 0.0463734i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −8.19403 | + | 11.2781i | −0.433674 | + | 0.596901i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.58451 | − | 2.78928i | −0.453073 | − | 0.147212i | 0.0735861 | − | 0.997289i | \(-0.476556\pi\) |
−0.526659 | + | 0.850076i | \(0.676556\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.9172 | + | 7.93181i | −0.574590 | + | 0.417464i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.82365 | − | 9.36504i | −0.0957166 | − | 0.491537i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0.709317 | − | 0.515349i | 0.0371273 | − | 0.0269746i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 4.33767 | − | 13.3500i | 0.226425 | − | 0.696863i | −0.771719 | − | 0.635963i | \(-0.780603\pi\) |
0.998144 | − | 0.0608999i | \(-0.0193971\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 9.90098 | − | 13.6275i | 0.515425 | − | 0.709421i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 17.9707 | − | 5.83902i | 0.932991 | − | 0.303147i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −13.2291 | −0.684979 | −0.342489 | − | 0.939522i | \(-0.611270\pi\) | ||||
−0.342489 | + | 0.939522i | \(0.611270\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | − | 0.654714i | − | 0.0338093i | ||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 0.904054 | + | 0.0140455i | 0.0465612 | + | 0.000723381i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.5410 | + | 21.3903i | −0.798287 | + | 1.09875i | 0.194739 | + | 0.980855i | \(0.437614\pi\) |
−0.993026 | + | 0.117893i | \(0.962386\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 4.94980 | − | 15.2339i | 0.253586 | − | 0.780458i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 21.2269 | + | 29.2163i | 1.08464 | + | 1.49288i | 0.854305 | + | 0.519772i | \(0.173983\pi\) |
0.230337 | + | 0.973111i | \(0.426017\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.315978 | + | 0.495803i | 0.0161037 | + | 0.0252685i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −2.36848 | + | 1.72080i | −0.120397 | + | 0.0874734i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −3.86122 | + | 11.8836i | −0.195771 | + | 0.602523i | 0.804195 | + | 0.594365i | \(0.202597\pi\) |
−0.999967 | + | 0.00815738i | \(0.997403\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −6.23070 | − | 4.52687i | −0.315100 | − | 0.228934i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −2.52451 | − | 7.76965i | −0.127345 | − | 0.391927i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − | 1.11546i | − | 0.0561250i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.26594i | 0.214101i | 0.994254 | + | 0.107051i | \(0.0341407\pi\) | ||||
−0.994254 | + | 0.107051i | \(0.965859\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −1.47609 | − | 4.54294i | −0.0738970 | − | 0.227432i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 16.0228 | − | 22.0535i | 0.800142 | − | 1.10130i | −0.192628 | − | 0.981272i | \(-0.561701\pi\) |
0.992770 | − | 0.120030i | \(-0.0382990\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 6.39984 | − | 8.52686i | 0.318799 | − | 0.424753i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0.124087 | + | 0.170791i | 0.00616594 | + | 0.00848669i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.16236 | + | 5.49217i | −0.107184 | + | 0.272237i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 19.4490 | + | 26.7693i | 0.961694 | + | 1.32366i | 0.946133 | + | 0.323779i | \(0.104953\pi\) |
0.0155607 | + | 0.999879i | \(0.495047\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −11.9408 | − | 3.87979i | −0.588995 | − | 0.191376i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −14.3752 | − | 10.4442i | −0.707355 | − | 0.513924i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.130165 | + | 0.400606i | 0.00638955 | + | 0.0196650i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.28541 | −0.111917 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −26.0287 | −1.27158 | −0.635792 | − | 0.771861i | \(-0.719326\pi\) | ||||
−0.635792 | + | 0.771861i | \(0.719326\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.9030 | + | 8.74132i | −1.31117 | + | 0.426026i | −0.879455 | − | 0.475982i | \(-0.842093\pi\) |
−0.431719 | + | 0.902008i | \(0.642093\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 2.88247 | − | 3.96737i | 0.140150 | − | 0.192900i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −10.5683 | + | 32.5260i | −0.512640 | + | 1.57774i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.89710 | − | 9.49304i | −0.333774 | − | 0.459401i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −5.43785 | − | 8.83235i | −0.262542 | − | 0.426430i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −4.33663 | − | 5.96886i | −0.208888 | − | 0.287510i | 0.691698 | − | 0.722186i | \(-0.256863\pi\) |
−0.900587 | + | 0.434676i | \(0.856863\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.41532 | − | 4.35590i | 0.0680158 | − | 0.209331i | −0.911272 | − | 0.411806i | \(-0.864898\pi\) |
0.979288 | + | 0.202474i | \(0.0648983\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0.00965591 | − | 0.0132902i | 0.000462965 | − | 0.000637217i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.50979 | − | 0.815481i | 0.120060 | − | 0.0390097i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.42519 | 0.115748 | 0.0578740 | − | 0.998324i | \(-0.481568\pi\) | ||||
0.0578740 | + | 0.998324i | \(0.481568\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −3.35168 | −0.159604 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −2.27040 | − | 6.98757i | −0.107870 | − | 0.331989i | 0.882523 | − | 0.470269i | \(-0.155843\pi\) |
−0.990393 | + | 0.138279i | \(0.955843\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.343375 | + | 0.249477i | 0.0162775 | + | 0.0118263i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0.946417 | + | 0.307509i | 0.0447640 | + | 0.0145447i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 6.57926 | + | 9.05558i | 0.310495 | + | 0.427359i | 0.935535 | − | 0.353233i | \(-0.114918\pi\) |
−0.625041 | + | 0.780592i | \(0.714918\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −6.22733 | − | 24.0626i | −0.293233 | − | 1.13306i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.75406 | − | 2.41426i | −0.0824130 | − | 0.113432i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0.511184 | + | 0.383669i | 0.0239647 | + | 0.0179867i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.49129 | + | 2.05259i | −0.0697598 | + | 0.0960161i | −0.842471 | − | 0.538741i | \(-0.818900\pi\) |
0.772711 | + | 0.634757i | \(0.218900\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 9.63162 | + | 29.6431i | 0.449566 | + | 1.38362i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 33.0119i | 1.53752i | 0.639538 | + | 0.768760i | \(0.279126\pi\) | ||||
−0.639538 | + | 0.768760i | \(0.720874\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 28.5889i | − | 1.32864i | −0.747448 | − | 0.664320i | \(-0.768721\pi\) | ||
0.747448 | − | 0.664320i | \(-0.231279\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.0598582 | − | 0.184225i | −0.00277586 | − | 0.00854322i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 2.37988 | + | 1.72908i | 0.110127 | + | 0.0800123i | 0.641486 | − | 0.767135i | \(-0.278318\pi\) |
−0.531358 | + | 0.847147i | \(0.678318\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −7.40237 | + | 22.7822i | −0.341810 | + | 1.05198i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.2025 | − | 8.13909i | 0.516183 | − | 0.375029i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.262999 | + | 4.31188i | −0.0120927 | + | 0.198260i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −6.88803 | − | 9.48056i | −0.316045 | − | 0.434998i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 5.59174 | − | 17.2096i | 0.256028 | − | 0.787973i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.551593 | + | 0.759203i | −0.0252029 | + | 0.0346889i | −0.821433 | − | 0.570306i | \(-0.806825\pi\) |
0.796230 | + | 0.604995i | \(0.206825\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.0996790 | + | 6.41594i | −0.00454497 | + | 0.292542i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | − | 2.28959i | − | 0.104180i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.07627 | −0.0488710 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 11.2585 | − | 3.65812i | 0.510173 | − | 0.165765i | −0.0426080 | − | 0.999092i | \(-0.513567\pi\) |
0.552781 | + | 0.833327i | \(0.313567\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −7.67142 | + | 10.5588i | −0.346914 | + | 0.477485i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.22310 | − | 9.91967i | 0.145456 | − | 0.447669i | −0.851613 | − | 0.524171i | \(-0.824375\pi\) |
0.997069 | + | 0.0765023i | \(0.0243753\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.38926 | + | 1.00936i | −0.0625690 | + | 0.0454591i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0.561987 | + | 0.0342778i | 0.0252594 | + | 0.00154067i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −23.0975 | + | 16.7813i | −1.03606 | + | 0.752743i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.6248 | − | 5.40171i | −0.744226 | − | 0.241814i | −0.0877313 | − | 0.996144i | \(-0.527962\pi\) |
−0.656495 | + | 0.754330i | \(0.727962\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 10.2468 | − | 14.1036i | 0.457795 | − | 0.630101i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.8096 | − | 36.3462i | −0.526564 | − | 1.62060i | −0.761201 | − | 0.648516i | \(-0.775390\pi\) |
0.234637 | − | 0.972083i | \(-0.424610\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.673233i | 0.0299585i | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −8.91192 | − | 6.90785i | −0.395792 | − | 0.306788i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −21.8035 | + | 7.08439i | −0.966423 | + | 0.314010i | −0.749371 | − | 0.662150i | \(-0.769644\pi\) |
−0.217052 | + | 0.976160i | \(0.569644\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −22.0430 | − | 16.0151i | −0.975123 | − | 0.708468i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −10.1572 | − | 3.30028i | −0.448453 | − | 0.145711i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0.0134190 | + | 0.0184697i | 0.000591314 | + | 0.000813873i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.81296 | − | 7.00533i | −0.0797337 | − | 0.308094i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 4.99520 | − | 3.62923i | 0.219265 | − | 0.159305i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 0.436320 | − | 1.34286i | 0.0191155 | − | 0.0588316i | −0.941044 | − | 0.338285i | \(-0.890153\pi\) |
0.960159 | + | 0.279453i | \(0.0901532\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 7.65951 | + | 5.56496i | 0.334927 | + | 0.243339i | 0.742518 | − | 0.669826i | \(-0.233631\pi\) |
−0.407591 | + | 0.913164i | \(0.633631\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −9.66961 | + | 3.14185i | −0.422017 | + | 0.137122i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 20.2485i | 0.882038i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.7351 | −0.945004 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −16.1833 | + | 5.25828i | −0.702297 | + | 0.228190i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −15.5408 | − | 22.1042i | −0.673148 | − | 0.957440i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0.301833 | + | 0.0980714i | 0.0130494 | + | 0.00424000i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −14.2086 | + | 10.3231i | −0.613146 | + | 0.445476i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3.14518 | + | 3.81671i | −0.135472 | + | 0.164397i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 24.8077 | + | 34.1448i | 1.06657 | + | 1.46800i | 0.873505 | + | 0.486815i | \(0.161841\pi\) |
0.193061 | + | 0.981187i | \(0.438159\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 3.49353 | − | 10.7520i | 0.149922 | − | 0.461412i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.499878 | + | 0.363183i | 0.0214124 | + | 0.0155570i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −10.4785 | − | 32.2495i | −0.448029 | − | 1.37889i | −0.879128 | − | 0.476586i | \(-0.841874\pi\) |
0.431099 | − | 0.902304i | \(-0.358126\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −11.2371 | −0.479588 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − | 0.588406i | − | 0.0250670i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −32.9679 | + | 10.7119i | −1.40194 | + | 0.455517i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.0943187 | + | 0.0685266i | 0.00400361 | + | 0.00290879i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.44701 | + | 1.12000i | 0.146055 | + | 0.0474561i | 0.381132 | − | 0.924521i | \(-0.375534\pi\) |
−0.235077 | + | 0.971977i | \(0.575534\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.38165 | + | 4.48837i | 0.0584377 | + | 0.189838i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 18.3296 | + | 7.21665i | 0.773875 | + | 0.304687i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 10.3117 | − | 7.49186i | 0.434584 | − | 0.315744i | −0.348895 | − | 0.937162i | \(-0.613443\pi\) |
0.783479 | + | 0.621418i | \(0.213443\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.402108 | + | 0.130653i | 0.0169168 | + | 0.00549660i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 3.85617 | − | 5.30757i | 0.161944 | − | 0.222897i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 1.36757 | + | 4.20895i | 0.0573316 | + | 0.176449i | 0.975621 | − | 0.219460i | \(-0.0704296\pi\) |
−0.918290 | + | 0.395909i | \(0.870430\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 11.4355 | 0.478560 | 0.239280 | − | 0.970951i | \(-0.423089\pi\) | ||||
0.239280 | + | 0.970951i | \(0.423089\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −9.84883 | −0.411441 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1.73574 | − | 5.34207i | −0.0723856 | − | 0.222780i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.8523 | − | 16.3133i | 0.493417 | − | 0.679130i | −0.487597 | − | 0.873069i | \(-0.662126\pi\) |
0.981014 | + | 0.193939i | \(0.0621264\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 17.9589 | + | 5.83521i | 0.746347 | + | 0.242503i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 10.5901 | − | 7.69414i | 0.439350 | − | 0.319207i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −14.3501 | − | 22.5168i | −0.594321 | − | 0.932552i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.584990 | − | 0.180077i | 0.0241864 | − | 0.00744528i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −25.9756 | − | 8.43997i | −1.07213 | − | 0.348355i | −0.280811 | − | 0.959763i | \(-0.590603\pi\) |
−0.791315 | + | 0.611408i | \(0.790603\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.61309 | − | 4.07815i | −0.231284 | − | 0.168037i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.6292 | + | 6.37792i | −0.807438 | + | 0.262352i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 11.2159i | 0.460584i | 0.973122 | + | 0.230292i | \(0.0739681\pi\) | ||||
−0.973122 | + | 0.230292i | \(0.926032\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.21389 | −0.0497647 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −3.43108 | − | 10.5598i | −0.140425 | − | 0.432183i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 22.1846 | + | 16.1180i | 0.906437 | + | 0.658565i | 0.940111 | − | 0.340868i | \(-0.110721\pi\) |
−0.0336742 | + | 0.999433i | \(0.510721\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.37064 | − | 25.7622i | 0.341446 | − | 1.05086i | −0.622014 | − | 0.783006i | \(-0.713685\pi\) |
0.963459 | − | 0.267855i | \(-0.0863148\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 13.4838 | + | 18.5589i | 0.549105 | + | 0.755778i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.566395 | − | 0.607794i | 0.0230272 | − | 0.0247103i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.3888 | − | 7.54789i | 0.421668 | − | 0.306360i | −0.356641 | − | 0.934242i | \(-0.616078\pi\) |
0.778308 | + | 0.627882i | \(0.216078\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −0.485523 | − | 0.157756i | −0.0196744 | − | 0.00639260i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −4.52439 | − | 6.43518i | −0.183037 | − | 0.260340i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 9.99288 | − | 3.24688i | 0.403609 | − | 0.131140i | −0.100176 | − | 0.994970i | \(-0.531941\pi\) |
0.503785 | + | 0.863829i | \(0.331941\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −0.490933 | −0.0197963 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 33.2428i | − | 1.33831i | −0.743125 | − | 0.669153i | \(-0.766657\pi\) | ||
0.743125 | − | 0.669153i | \(-0.233343\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 27.0278 | − | 8.78187i | 1.08634 | − | 0.352973i | 0.289509 | − | 0.957175i | \(-0.406508\pi\) |
0.796831 | + | 0.604202i | \(0.206508\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −4.14146 | − | 3.00895i | −0.166191 | − | 0.120745i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 4.07590 | − | 12.5443i | 0.163297 | − | 0.502577i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −20.1562 | + | 14.6444i | −0.806249 | + | 0.585774i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −5.69220 | + | 3.62768i | −0.227325 | + | 0.144875i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −7.16325 | − | 9.85936i | −0.285617 | − | 0.393119i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 24.1416 | + | 7.84408i | 0.961061 | + | 0.312268i | 0.747202 | − | 0.664597i | \(-0.231397\pi\) |
0.213859 | + | 0.976865i | \(0.431397\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.18223 | − | 1.58548i | −0.0867358 | − | 0.0630172i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.32652 | − | 0.431012i | 0.0526413 | − | 0.0171042i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.74066 | + | 5.08692i | −0.0689673 | + | 0.201551i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 27.3409i | 1.08159i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 10.2735 | + | 31.6185i | 0.405777 | + | 1.24885i | 0.920244 | + | 0.391344i | \(0.127990\pi\) |
−0.514467 | + | 0.857510i | \(0.672010\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.35518 | + | 1.86525i | −0.0534431 | + | 0.0735581i | −0.834902 | − | 0.550398i | \(-0.814476\pi\) |
0.781459 | + | 0.623957i | \(0.214476\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.0811488 | + | 0.0263668i | 0.00319523 | + | 0.00103819i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 19.3140 | − | 14.0324i | 0.759310 | − | 0.551671i | −0.139388 | − | 0.990238i | \(-0.544514\pi\) |
0.898699 | + | 0.438567i | \(0.144514\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −9.19839 | + | 23.3630i | −0.361068 | + | 0.917077i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4.87000 | + | 3.53826i | −0.190870 | + | 0.138675i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.37626 | − | 13.4687i | 0.171256 | − | 0.527073i | −0.828186 | − | 0.560453i | \(-0.810627\pi\) |
0.999443 | + | 0.0333800i | \(0.0106272\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.418134 | − | 0.575512i | 0.0163378 | − | 0.0224871i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −24.8156 | + | 8.06308i | −0.968149 | + | 0.314571i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −24.7568 | −0.964388 | −0.482194 | − | 0.876065i | \(-0.660160\pi\) | ||||
−0.482194 | + | 0.876065i | \(0.660160\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 16.9087i | − | 0.657670i | −0.944387 | − | 0.328835i | \(-0.893344\pi\) | ||
0.944387 | − | 0.328835i | \(-0.106656\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 21.4125 | + | 0.332668i | 0.831594 | + | 0.0129198i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0.244484 | − | 0.336504i | 0.00948069 | − | 0.0130491i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0871539 | − | 0.268232i | 0.00337461 | − | 0.0103860i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −5.85218 | − | 8.05483i | −0.226258 | − | 0.311418i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −10.5448 | + | 12.7962i | −0.407076 | + | 0.493991i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.72281 | + | 1.25170i | −0.0664096 | + | 0.0482494i | −0.620495 | − | 0.784211i | \(-0.713068\pi\) |
0.554085 | + | 0.832460i | \(0.313068\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −7.02463 | + | 21.6196i | −0.270378 | + | 0.832138i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −34.0942 | − | 24.7709i | −1.31035 | − | 0.952022i | −0.999999 | − | 0.00139885i | \(-0.999555\pi\) |
−0.310347 | − | 0.950623i | \(-0.600445\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.3356 | + | 31.8096i | 0.396642 | + | 1.22074i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 4.67037i | − | 0.178969i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 8.17932i | 0.312973i | 0.987680 | + | 0.156486i | \(0.0500167\pi\) | ||||
−0.987680 | + | 0.156486i | \(0.949983\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.337839 | − | 1.03976i | −0.0129082 | − | 0.0397273i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −12.0829 | + | 16.6307i | −0.460991 | + | 0.634500i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −23.2153 | − | 17.4243i | −0.884434 | − | 0.663812i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.9708 | − | 19.2292i | −0.531475 | − | 0.731513i | 0.455879 | − | 0.890042i | \(-0.349325\pi\) |
−0.987354 | + | 0.158529i | \(0.949325\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.38373 | − | 16.9389i | −0.166524 | − | 0.643455i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −0.116973 | − | 0.160999i | −0.00443703 | − | 0.00610704i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 48.8068 | + | 15.8583i | 1.84869 | + | 0.600675i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 15.9819 | + | 11.6115i | 0.604490 | + | 0.439188i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −2.60555 | − | 8.01907i | −0.0984104 | − | 0.302876i | 0.889717 | − | 0.456512i | \(-0.150902\pi\) |
−0.988127 | + | 0.153636i | \(0.950902\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.17583 | 0.157495 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −0.142925 | −0.00538287 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 19.8976 | − | 6.46513i | 0.748327 | − | 0.243146i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.50015 | + | 2.06478i | −0.0563393 | + | 0.0775444i | −0.836257 | − | 0.548338i | \(-0.815261\pi\) |
0.779918 | + | 0.625882i | \(0.215261\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −10.2582 | + | 31.5716i | −0.384714 | + | 1.18403i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.95475 | − | 2.69048i | −0.0732058 | − | 0.100759i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.343886 | − | 0.835137i | 0.0128606 | − | 0.0312324i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 10.2892 | + | 14.1619i | 0.384257 | + | 0.528884i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −9.06468 | + | 27.8982i | −0.338055 | + | 1.04043i | 0.627142 | + | 0.778905i | \(0.284225\pi\) |
−0.965197 | + | 0.261523i | \(0.915775\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.417014 | − | 0.573971i | 0.0155304 | − | 0.0213758i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −8.23889 | + | 2.67698i | −0.306407 | + | 0.0995578i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −1.25242 | −0.0465137 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 52.3565 | 1.94180 | 0.970898 | − | 0.239493i | \(-0.0769812\pi\) | ||||
0.970898 | + | 0.239493i | \(0.0769812\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.71845 | + | 5.28885i | 0.0636463 | + | 0.195883i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.21580 | − | 5.24258i | −0.266886 | − | 0.193904i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −22.9239 | − | 7.44841i | −0.846712 | − | 0.275113i | −0.146644 | − | 0.989189i | \(-0.546847\pi\) |
−0.700068 | + | 0.714076i | \(0.746847\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.0574175 | + | 0.0790285i | 0.00211788 | + | 0.00291501i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 33.7869 | + | 2.06080i | 1.24456 | + | 0.0759105i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.99522 | − | 9.62810i | −0.257323 | − | 0.354175i | 0.660736 | − | 0.750619i | \(-0.270244\pi\) |
−0.918059 | + | 0.396443i | \(0.870244\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −4.40482 | + | 5.86878i | −0.161815 | + | 0.215595i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −13.1643 | + | 18.1190i | −0.482950 | + | 0.664723i | −0.979068 | − | 0.203532i | \(-0.934758\pi\) |
0.496119 | + | 0.868255i | \(0.334758\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.0267769 | + | 0.0824107i | 0.000981029 | + | 0.00301930i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | − | 12.5357i | − | 0.458656i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − | 9.86255i | − | 0.360370i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.74442 | − | 29.9902i | −0.355579 | − | 1.09436i | −0.955673 | − | 0.294430i | \(-0.904870\pi\) |
0.600094 | − | 0.799929i | \(-0.295130\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 17.7525 | + | 12.8979i | 0.646937 | + | 0.470027i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.0802990 | − | 0.247135i | 0.00292238 | − | 0.00899416i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.0931 | − | 16.0515i | 0.802986 | − | 0.583403i | −0.108803 | − | 0.994063i | \(-0.534702\pi\) |
0.911789 | + | 0.410660i | \(0.134702\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.13218 | + | 0.810599i | −0.113691 | + | 0.0294229i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.97599 | + | 5.47247i | 0.144129 | + | 0.198377i | 0.874978 | − | 0.484162i | \(-0.160876\pi\) |
−0.730849 | + | 0.682539i | \(0.760876\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 5.93360 | − | 18.2618i | 0.214811 | − | 0.661120i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −0.683290 | + | 0.940468i | −0.0247044 | + | 0.0340027i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −0.424021 | + | 27.2926i | −0.0153105 | + | 0.985478i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 21.8891i | − | 0.789341i | −0.918823 | − | 0.394671i | \(-0.870859\pi\) | ||
0.918823 | − | 0.394671i | \(-0.129141\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −8.20204 | −0.295389 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 21.2402 | − | 6.90135i | 0.763956 | − | 0.248224i | 0.0989802 | − | 0.995089i | \(-0.468442\pi\) |
0.664976 | + | 0.746865i | \(0.268442\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −8.68031 | + | 11.9474i | −0.311806 | + | 0.429164i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 1.11957 | − | 3.44569i | 0.0401644 | − | 0.123613i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −14.2260 | + | 10.3358i | −0.509700 | + | 0.370319i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 31.1343 | + | 25.6564i | 1.11407 | + | 0.918057i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −0.923421 | + | 0.670905i | −0.0330004 | + | 0.0239762i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.14674 | + | 0.372598i | 0.0409289 | + | 0.0132986i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.7507 | + | 17.5498i | −0.454512 | + | 0.625583i | −0.973359 | − | 0.229285i | \(-0.926361\pi\) |
0.518847 | + | 0.854867i | \(0.326361\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 3.27951 | + | 10.0933i | 0.116754 | + | 0.359331i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 13.1391i | − | 0.467173i | ||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −5.83585 | + | 17.0548i | −0.207237 | + | 0.605633i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −0.501572 | + | 0.162971i | −0.0177889 | + | 0.00577998i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −15.5708 | − | 11.3129i | −0.551547 | − | 0.400723i | 0.276808 | − | 0.960925i | \(-0.410723\pi\) |
−0.828356 | + | 0.560203i | \(0.810723\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.2091 | + | 4.61681i | 0.502681 | + | 0.163331i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −7.42448 | − | 10.2189i | −0.262331 | − | 0.361068i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −14.1049 | + | 35.8249i | −0.497750 | + | 1.26423i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.161294 | − | 0.117187i | 0.00568485 | − | 0.00413028i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0.135448 | − | 0.416865i | 0.00476798 | − | 0.0146743i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 28.4469 | + | 20.6679i | 1.00014 | + | 0.726645i | 0.962118 | − | 0.272632i | \(-0.0878940\pi\) |
0.0380228 | + | 0.999277i | \(0.487894\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 33.7636 | − | 10.9704i | 1.18560 | − | 0.385224i | 0.351155 | − | 0.936317i | \(-0.385789\pi\) |
0.834444 | + | 0.551093i | \(0.185789\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | − | 20.4730i | − | 0.718020i | ||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.13647 | −0.0398088 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.90660 | − | 0.944411i | 0.101689 | − | 0.0330408i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −10.9400 | − | 15.5603i | −0.382274 | − | 0.543720i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.84316 | + | 2.87332i | 0.308628 | + | 0.100279i | 0.459236 | − | 0.888314i | \(-0.348123\pi\) |
−0.150608 | + | 0.988594i | \(0.548123\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 20.6324 | − | 14.9903i | 0.719200 | − | 0.522530i | −0.166928 | − | 0.985969i | \(-0.553385\pi\) |
0.886129 | + | 0.463439i | \(0.153385\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 7.72148 | + | 12.1158i | 0.268827 | + | 0.421818i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −26.3965 | − | 36.3317i | −0.917897 | − | 1.26338i | −0.964397 | − | 0.264458i | \(-0.914807\pi\) |
0.0465006 | − | 0.998918i | \(-0.485193\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.00607 | + | 24.6401i | −0.278062 | + | 0.855787i | 0.710331 | + | 0.703868i | \(0.248545\pi\) |
−0.988393 | + | 0.151919i | \(0.951455\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −10.1308 | − | 7.36043i | −0.351432 | − | 0.255331i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −3.15544 | − | 9.71143i | −0.109329 | − | 0.336481i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 1.51800 | 0.0525327 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 13.4589i | 0.465207i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 37.8892 | − | 12.3110i | 1.30808 | − | 0.425021i | 0.429695 | − | 0.902974i | \(-0.358621\pi\) |
0.878386 | + | 0.477953i | \(0.158621\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.4106 | + | 17.0088i | 0.807263 | + | 0.586511i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 17.8930 | + | 5.81378i | 0.616267 | + | 0.200237i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0.0305008 | − | 0.981373i | 0.00104926 | − | 0.0337602i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −23.4027 | − | 10.9033i | −0.804127 | − | 0.374641i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 4.08103 | − | 2.96505i | 0.140061 | − | 0.101760i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.90360 | + | 0.618519i | 0.0652547 | + | 0.0212025i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 3.41150 | − | 4.69553i | 0.116808 | − | 0.160772i | −0.746610 | − | 0.665262i | \(-0.768320\pi\) |
0.863417 | + | 0.504490i | \(0.168320\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −0.123089 | − | 0.378830i | −0.00420957 | − | 0.0129557i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −17.4010 | −0.594406 | −0.297203 | − | 0.954814i | \(-0.596054\pi\) | ||||
−0.297203 | + | 0.954814i | \(0.596054\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 54.0169 | 1.84303 | 0.921516 | − | 0.388341i | \(-0.126952\pi\) | ||||
0.921516 | + | 0.388341i | \(0.126952\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 4.71449 | + | 14.5097i | 0.160669 | + | 0.494489i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.9778 | − | 20.6152i | 0.509851 | − | 0.701750i | −0.474043 | − | 0.880502i | \(-0.657206\pi\) |
0.983894 | + | 0.178752i | \(0.0572060\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0.511332 | + | 0.166142i | 0.0173858 | + | 0.00564900i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −20.9756 | + | 15.2396i | −0.712368 | + | 0.517566i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 26.3258 | + | 41.3080i | 0.893043 | + | 1.40128i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 35.1699 | − | 10.8263i | 1.19169 | − | 0.366837i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 30.4624 | + | 9.89783i | 1.03100 | + | 0.334991i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −1.43331 | − | 1.04136i | −0.0484547 | − | 0.0352044i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 7.29502 | − | 2.37030i | 0.246335 | − | 0.0800392i | −0.183247 | − | 0.983067i | \(-0.558661\pi\) |
0.429582 | + | 0.903028i | \(0.358661\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − | 18.2373i | − | 0.615128i | ||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 28.9326 | 0.974763 | 0.487382 | − | 0.873189i | \(-0.337952\pi\) | ||||
0.487382 | + | 0.873189i | \(0.337952\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.42741 | − | 29.0146i | −0.317258 | − | 0.976419i | −0.974815 | − | 0.223014i | \(-0.928410\pi\) |
0.657557 | − | 0.753404i | \(-0.271590\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0.401220 | + | 0.291503i | 0.0134868 | + | 0.00979877i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 0.856686 | − | 2.63661i | 0.0287647 | − | 0.0885287i | −0.935644 | − | 0.352946i | \(-0.885180\pi\) |
0.964408 | + | 0.264418i | \(0.0851798\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −25.4774 | − | 35.0666i | −0.854484 | − | 1.17610i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −8.62603 | − | 3.39621i | −0.288983 | − | 0.113777i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −4.14161 | + | 3.00906i | −0.138594 | + | 0.100694i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.45446 | − | 0.472582i | −0.0486171 | − | 0.0157967i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −2.87726 | + | 2.02292i | −0.0960691 | + | 0.0675433i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −0.705219 | + | 0.229140i | −0.0235204 | + | 0.00764223i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 55.1288 | 1.83661 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 2.65158i | − | 0.0882391i | ||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0.936245 | − | 0.304205i | 0.0311219 | − | 0.0101121i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 40.8306 | + | 29.6652i | 1.35576 | + | 0.985016i | 0.998702 | + | 0.0509337i | \(0.0162197\pi\) |
0.357057 | + | 0.934083i | \(0.383780\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.19132 | − | 19.0549i | 0.205353 | − | 0.632012i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −48.6301 | + | 35.3319i | −1.61119 | + | 1.17060i | −0.751582 | + | 0.659639i | \(0.770709\pi\) |
−0.859606 | + | 0.510958i | \(0.829291\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −14.2749 | − | 11.7633i | −0.472431 | − | 0.389309i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.192502 | + | 0.264957i | 0.00636393 | + | 0.00875920i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −21.0248 | − | 6.83138i | −0.694301 | − | 0.225592i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 33.3766 | + | 24.2496i | 1.10099 | + | 0.799919i | 0.981222 | − | 0.192883i | \(-0.0617836\pi\) |
0.119772 | + | 0.992801i | \(0.461784\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.556637 | + | 0.180862i | −0.0183418 | + | 0.00595962i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 41.4958 | + | 14.1992i | 1.36585 | + | 0.467372i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | − | 8.88823i | − | 0.292243i | ||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −0.209953 | − | 0.646167i | −0.00689575 | − | 0.0212229i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 18.8488 | − | 25.9432i | 0.618410 | − | 0.851169i | −0.378826 | − | 0.925468i | \(-0.623672\pi\) |
0.997236 | + | 0.0742992i | \(0.0236720\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.32763 | + | 1.08121i | 0.109059 | + | 0.0354353i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.994471 | − | 0.722526i | 0.0325575 | − | 0.0236544i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0.429762 | + | 1.66062i | 0.0140547 | + | 0.0543080i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 35.6472 | − | 25.8992i | 1.16454 | − | 0.846090i | 0.174197 | − | 0.984711i | \(-0.444267\pi\) |
0.990345 | + | 0.138621i | \(0.0442670\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −4.67864 | + | 14.3994i | −0.152682 | + | 0.469906i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −31.9988 | + | 44.0426i | −1.04313 | + | 1.43575i | −0.148518 | + | 0.988910i | \(0.547450\pi\) |
−0.894614 | + | 0.446839i | \(0.852550\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −8.01603 | + | 2.60456i | −0.261038 | + | 0.0848163i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −0.806858 | −0.0262471 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 25.0466i | 0.813906i | 0.913449 | + | 0.406953i | \(0.133409\pi\) | ||||
−0.913449 | + | 0.406953i | \(0.866591\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −0.650197 | + | 41.8506i | −0.0211063 | + | 1.35853i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 9.83813 | − | 13.5410i | 0.319023 | − | 0.439098i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 13.3012 | − | 40.9367i | 0.430867 | − | 1.32607i | −0.466397 | − | 0.884576i | \(-0.654448\pi\) |
0.897263 | − | 0.441496i | \(-0.145552\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −0.504086 | − | 0.693815i | −0.0163118 | − | 0.0224513i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.0439189 | + | 0.720052i | −0.00141969 | + | 0.0232760i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −27.4862 | + | 19.9699i | −0.887575 | + | 0.644861i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 6.87764 | − | 21.1672i | 0.221859 | − | 0.682813i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −7.64106 | − | 5.55155i | −0.246230 | − | 0.178896i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0.508110 | + | 1.56380i | 0.0163566 | + | 0.0503405i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 0.982271i | 0.0315877i | 0.999875 | + | 0.0157939i | \(0.00502755\pi\) | ||||
−0.999875 | + | 0.0157939i | \(0.994972\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | − | 13.9364i | − | 0.447702i | ||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.67895 | − | 5.16727i | −0.0538800 | − | 0.165826i | 0.920495 | − | 0.390753i | \(-0.127785\pi\) |
−0.974375 | + | 0.224928i | \(0.927785\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.63508 | + | 5.00326i | −0.116535 | + | 0.160397i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 12.4917 | + | 9.37562i | 0.400053 | + | 0.300260i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.58555 | + | 4.93508i | 0.114712 | + | 0.157887i | 0.862512 | − | 0.506037i | \(-0.168890\pi\) |
−0.747800 | + | 0.663924i | \(0.768890\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −18.6038 | − | 1.13472i | −0.594579 | − | 0.0362657i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −10.8084 | − | 14.8765i | −0.345085 | − | 0.474969i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −45.9123 | − | 14.9178i | −1.46438 | − | 0.475805i | −0.534972 | − | 0.844870i | \(-0.679678\pi\) |
−0.929404 | + | 0.369065i | \(0.879678\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.45397 | − | 1.05637i | −0.0463273 | − | 0.0336588i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 1.37252 | + | 4.22420i | 0.0436880 | + | 0.134458i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 1.46489 | 0.0465809 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −23.0289 | −0.731538 | −0.365769 | − | 0.930706i | \(-0.619194\pi\) | ||||
−0.365769 | + | 0.930706i | \(0.619194\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −19.7165 | + | 6.40629i | −0.625685 | + | 0.203297i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0.568288 | − | 0.782181i | 0.0180159 | − | 0.0247968i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.68333 | + | 17.4915i | −0.179993 | + | 0.553961i | −0.999826 | − | 0.0186412i | \(-0.994066\pi\) |
0.819833 | + | 0.572602i | \(0.194066\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −4.76131 | − | 6.55338i | −0.150641 | − | 0.207340i |
(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 | 572.2.x.a.25.9 | ✓ | 56 | |
11.4 | even | 5 | inner | 572.2.x.a.389.10 | yes | 56 | |
13.12 | even | 2 | inner | 572.2.x.a.25.10 | yes | 56 | |
143.103 | even | 10 | inner | 572.2.x.a.389.9 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.x.a.25.9 | ✓ | 56 | 1.1 | even | 1 | trivial | |
572.2.x.a.25.10 | yes | 56 | 13.12 | even | 2 | inner | |
572.2.x.a.389.9 | yes | 56 | 143.103 | even | 10 | inner | |
572.2.x.a.389.10 | yes | 56 | 11.4 | even | 5 | inner |