Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(38,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.38");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.ba (of order \(6\), degree \(2\), 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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 38.10 | ||
Character | \(\chi\) | \(=\) | 273.38 |
Dual form | 273.2.ba.c.194.10 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.697858 | − | 1.20873i | −0.493460 | − | 0.854698i | 0.506511 | − | 0.862233i | \(-0.330935\pi\) |
−0.999972 | + | 0.00753522i | \(0.997601\pi\) | |||||||
\(3\) | 1.40218 | − | 1.01680i | 0.809549 | − | 0.587052i | ||||
\(4\) | 0.0259885 | − | 0.0450133i | 0.0129942 | − | 0.0225067i | ||||
\(5\) | −0.529415 | + | 0.305658i | −0.236762 | + | 0.136694i | −0.613687 | − | 0.789549i | \(-0.710314\pi\) |
0.376926 | + | 0.926243i | \(0.376981\pi\) | |||||||
\(6\) | −2.20756 | − | 0.985265i | −0.901233 | − | 0.402233i | ||||
\(7\) | 2.05092 | + | 1.67145i | 0.775174 | + | 0.631748i | ||||
\(8\) | −2.86398 | −1.01257 | ||||||||
\(9\) | 0.932217 | − | 2.85149i | 0.310739 | − | 0.950495i | ||||
\(10\) | 0.738913 | + | 0.426611i | 0.233665 | + | 0.134906i | ||||
\(11\) | 2.64913 | − | 4.58843i | 0.798744 | − | 1.38346i | −0.121691 | − | 0.992568i | \(-0.538832\pi\) |
0.920435 | − | 0.390897i | \(-0.127835\pi\) | |||||||
\(12\) | −0.00932927 | − | 0.0895420i | −0.00269313 | − | 0.0258485i | ||||
\(13\) | −1.58197 | − | 3.23996i | −0.438761 | − | 0.898604i | ||||
\(14\) | 0.589074 | − | 3.64543i | 0.157437 | − | 0.974282i | ||||
\(15\) | −0.431541 | + | 0.966899i | −0.111423 | + | 0.249652i | ||||
\(16\) | 1.94667 | + | 3.37174i | 0.486668 | + | 0.842934i | ||||
\(17\) | −3.19826 | + | 5.53956i | −0.775693 | + | 1.34354i | 0.158711 | + | 0.987325i | \(0.449266\pi\) |
−0.934404 | + | 0.356215i | \(0.884067\pi\) | |||||||
\(18\) | −4.09722 | + | 0.863138i | −0.965724 | + | 0.203444i | ||||
\(19\) | −0.126699 | − | 0.219449i | −0.0290667 | − | 0.0503450i | 0.851126 | − | 0.524961i | \(-0.175920\pi\) |
−0.880193 | + | 0.474616i | \(0.842587\pi\) | |||||||
\(20\) | 0.0317743i | 0.00710495i | ||||||||
\(21\) | 4.57529 | + | 0.258290i | 0.998410 | + | 0.0563636i | ||||
\(22\) | −7.39488 | −1.57659 | ||||||||
\(23\) | 3.72378 | − | 2.14993i | 0.776462 | − | 0.448291i | −0.0587126 | − | 0.998275i | \(-0.518700\pi\) |
0.835175 | + | 0.549984i | \(0.185366\pi\) | |||||||
\(24\) | −4.01581 | + | 2.91210i | −0.819724 | + | 0.594431i | ||||
\(25\) | −2.31315 | + | 4.00649i | −0.462629 | + | 0.801297i | ||||
\(26\) | −2.81223 | + | 4.17321i | −0.551524 | + | 0.818433i | ||||
\(27\) | −1.59227 | − | 4.94618i | −0.306432 | − | 0.951892i | ||||
\(28\) | 0.128538 | − | 0.0488802i | 0.0242913 | − | 0.00923749i | ||||
\(29\) | 6.32377i | 1.17430i | 0.809480 | + | 0.587148i | \(0.199749\pi\) | ||||
−0.809480 | + | 0.587148i | \(0.800251\pi\) | |||||||
\(30\) | 1.46987 | − | 0.153144i | 0.268360 | − | 0.0279601i | ||||
\(31\) | 0.113692 | − | 0.196920i | 0.0204196 | − | 0.0353678i | −0.855635 | − | 0.517580i | \(-0.826833\pi\) |
0.876055 | + | 0.482212i | \(0.160166\pi\) | |||||||
\(32\) | −0.146975 | + | 0.254569i | −0.0259818 | + | 0.0450018i | ||||
\(33\) | −0.950979 | − | 9.12746i | −0.165544 | − | 1.58889i | ||||
\(34\) | 8.92774 | 1.53109 | ||||||||
\(35\) | −1.59668 | − | 0.258011i | −0.269888 | − | 0.0436118i | ||||
\(36\) | −0.104128 | − | 0.116068i | −0.0173547 | − | 0.0193447i | ||||
\(37\) | 6.03926 | − | 3.48677i | 0.992848 | − | 0.573221i | 0.0867235 | − | 0.996232i | \(-0.472360\pi\) |
0.906124 | + | 0.423011i | \(0.139027\pi\) | |||||||
\(38\) | −0.176836 | + | 0.306288i | −0.0286865 | + | 0.0496865i | ||||
\(39\) | −5.51262 | − | 2.93445i | −0.882726 | − | 0.469888i | ||||
\(40\) | 1.51623 | − | 0.875397i | 0.239737 | − | 0.138412i | ||||
\(41\) | 3.84707i | 0.600811i | 0.953812 | + | 0.300406i | \(0.0971221\pi\) | ||||
−0.953812 | + | 0.300406i | \(0.902878\pi\) | |||||||
\(42\) | −2.88070 | − | 5.71052i | −0.444502 | − | 0.881152i | ||||
\(43\) | −1.18356 | −0.180491 | −0.0902454 | − | 0.995920i | \(-0.528765\pi\) | ||||
−0.0902454 | + | 0.995920i | \(0.528765\pi\) | |||||||
\(44\) | −0.137694 | − | 0.238493i | −0.0207581 | − | 0.0359541i | ||||
\(45\) | 0.378049 | + | 1.79456i | 0.0563563 | + | 0.267517i | ||||
\(46\) | −5.19734 | − | 3.00069i | −0.766307 | − | 0.442427i | ||||
\(47\) | −1.65276 | + | 0.954224i | −0.241080 | + | 0.139188i | −0.615673 | − | 0.788002i | \(-0.711116\pi\) |
0.374593 | + | 0.927189i | \(0.377783\pi\) | |||||||
\(48\) | 6.15798 | + | 2.74839i | 0.888828 | + | 0.396697i | ||||
\(49\) | 1.41252 | + | 6.85600i | 0.201788 | + | 0.979429i | ||||
\(50\) | 6.45699 | 0.913156 | ||||||||
\(51\) | 1.14810 | + | 11.0195i | 0.160767 | + | 1.54303i | ||||
\(52\) | −0.186955 | − | 0.0129917i | −0.0259259 | − | 0.00180163i | ||||
\(53\) | −2.56191 | − | 1.47912i | −0.351905 | − | 0.203173i | 0.313619 | − | 0.949549i | \(-0.398459\pi\) |
−0.665524 | + | 0.746376i | \(0.731792\pi\) | |||||||
\(54\) | −4.86739 | + | 5.37635i | −0.662369 | + | 0.731628i | ||||
\(55\) | 3.23891i | 0.436735i | ||||||||
\(56\) | −5.87378 | − | 4.78699i | −0.784917 | − | 0.639689i | ||||
\(57\) | −0.400791 | − | 0.178879i | −0.0530861 | − | 0.0236931i | ||||
\(58\) | 7.64371 | − | 4.41310i | 1.00367 | − | 0.579468i | ||||
\(59\) | 2.91541 | + | 1.68321i | 0.379554 | + | 0.219136i | 0.677624 | − | 0.735408i | \(-0.263010\pi\) |
−0.298070 | + | 0.954544i | \(0.596343\pi\) | |||||||
\(60\) | 0.0323083 | + | 0.0445533i | 0.00417098 | + | 0.00575180i | ||||
\(61\) | 11.0288 | − | 6.36746i | 1.41209 | − | 0.815270i | 0.416503 | − | 0.909134i | \(-0.363255\pi\) |
0.995585 | + | 0.0938647i | \(0.0299221\pi\) | |||||||
\(62\) | −0.317362 | −0.0403051 | ||||||||
\(63\) | 6.67801 | − | 4.29001i | 0.841350 | − | 0.540490i | ||||
\(64\) | 8.19696 | 1.02462 | ||||||||
\(65\) | 1.82784 | + | 1.23174i | 0.226716 | + | 0.152779i | ||||
\(66\) | −10.3689 | + | 7.51914i | −1.27633 | + | 0.925543i | ||||
\(67\) | 9.31510 | + | 5.37808i | 1.13802 | + | 0.657036i | 0.945940 | − | 0.324343i | \(-0.105143\pi\) |
0.192081 | + | 0.981379i | \(0.438476\pi\) | |||||||
\(68\) | 0.166236 | + | 0.287929i | 0.0201591 | + | 0.0349165i | ||||
\(69\) | 3.03536 | − | 6.80094i | 0.365414 | − | 0.818738i | ||||
\(70\) | 0.802389 | + | 2.11000i | 0.0959039 | + | 0.252193i | ||||
\(71\) | 6.51849 | 0.773602 | 0.386801 | − | 0.922163i | \(-0.373580\pi\) | ||||
0.386801 | + | 0.922163i | \(0.373580\pi\) | |||||||
\(72\) | −2.66985 | + | 8.16659i | −0.314645 | + | 0.962442i | ||||
\(73\) | −6.09089 | + | 10.5497i | −0.712885 | + | 1.23475i | 0.250885 | + | 0.968017i | \(0.419278\pi\) |
−0.963770 | + | 0.266735i | \(0.914055\pi\) | |||||||
\(74\) | −8.42909 | − | 4.86654i | −0.979862 | − | 0.565723i | ||||
\(75\) | 0.830367 | + | 7.96983i | 0.0958825 | + | 0.920277i | ||||
\(76\) | −0.0131708 | −0.00151080 | ||||||||
\(77\) | 13.1025 | − | 4.98260i | 1.49317 | − | 0.567820i | ||||
\(78\) | 0.300079 | + | 8.71108i | 0.0339772 | + | 0.986335i | ||||
\(79\) | −4.15569 | − | 7.19787i | −0.467552 | − | 0.809823i | 0.531761 | − | 0.846895i | \(-0.321531\pi\) |
−0.999313 | + | 0.0370712i | \(0.988197\pi\) | |||||||
\(80\) | −2.06119 | − | 1.19003i | −0.230449 | − | 0.133050i | ||||
\(81\) | −7.26194 | − | 5.31641i | −0.806883 | − | 0.590712i | ||||
\(82\) | 4.65005 | − | 2.68471i | 0.513512 | − | 0.296476i | ||||
\(83\) | 14.1762i | 1.55604i | 0.628242 | + | 0.778018i | \(0.283775\pi\) | ||||
−0.628242 | + | 0.778018i | \(0.716225\pi\) | |||||||
\(84\) | 0.130531 | − | 0.199237i | 0.0142421 | − | 0.0217385i | ||||
\(85\) | − | 3.91030i | − | 0.424131i | ||||||
\(86\) | 0.825955 | + | 1.43060i | 0.0890650 | + | 0.154265i | ||||
\(87\) | 6.43004 | + | 8.86707i | 0.689373 | + | 0.950649i | ||||
\(88\) | −7.58706 | + | 13.1412i | −0.808783 | + | 1.40085i | ||||
\(89\) | 6.09840 | − | 3.52092i | 0.646430 | − | 0.373216i | −0.140657 | − | 0.990058i | \(-0.544922\pi\) |
0.787087 | + | 0.616842i | \(0.211588\pi\) | |||||||
\(90\) | 1.90530 | − | 1.70930i | 0.200837 | − | 0.180177i | ||||
\(91\) | 2.17094 | − | 9.28908i | 0.227576 | − | 0.973760i | ||||
\(92\) | − | 0.223493i | − | 0.0233008i | ||||||
\(93\) | −0.0408127 | − | 0.391719i | −0.00423208 | − | 0.0406193i | ||||
\(94\) | 2.30679 | + | 1.33183i | 0.237927 | + | 0.137367i | ||||
\(95\) | 0.134153 | + | 0.0774530i | 0.0137638 | + | 0.00794651i | ||||
\(96\) | 0.0527608 | + | 0.506396i | 0.00538488 | + | 0.0516839i | ||||
\(97\) | −14.2272 | −1.44455 | −0.722275 | − | 0.691606i | \(-0.756904\pi\) | ||||
−0.722275 | + | 0.691606i | \(0.756904\pi\) | |||||||
\(98\) | 7.30129 | − | 6.49186i | 0.737542 | − | 0.655777i | ||||
\(99\) | −10.6143 | − | 11.8314i | −1.06678 | − | 1.18910i | ||||
\(100\) | 0.120230 | + | 0.208245i | 0.0120230 | + | 0.0208245i | ||||
\(101\) | −0.206024 | + | 0.356844i | −0.0205001 | + | 0.0355073i | −0.876093 | − | 0.482141i | \(-0.839859\pi\) |
0.855593 | + | 0.517649i | \(0.173193\pi\) | |||||||
\(102\) | 12.5183 | − | 9.07777i | 1.23950 | − | 0.898833i | ||||
\(103\) | −11.3885 | + | 6.57513i | −1.12214 | + | 0.647867i | −0.941946 | − | 0.335764i | \(-0.891005\pi\) |
−0.180193 | + | 0.983631i | \(0.557672\pi\) | |||||||
\(104\) | 4.53074 | + | 9.27918i | 0.444275 | + | 0.909898i | ||||
\(105\) | −2.50118 | + | 1.26173i | −0.244090 | + | 0.123132i | ||||
\(106\) | 4.12886i | 0.401030i | ||||||||
\(107\) | 5.35323 | − | 3.09069i | 0.517516 | − | 0.298788i | −0.218402 | − | 0.975859i | \(-0.570084\pi\) |
0.735918 | + | 0.677071i | \(0.236751\pi\) | |||||||
\(108\) | −0.264025 | − | 0.0568703i | −0.0254058 | − | 0.00547234i | ||||
\(109\) | −13.2626 | − | 7.65714i | −1.27032 | − | 0.733421i | −0.295274 | − | 0.955413i | \(-0.595411\pi\) |
−0.975049 | + | 0.221991i | \(0.928744\pi\) | |||||||
\(110\) | 3.91496 | − | 2.26030i | 0.373276 | − | 0.215511i | ||||
\(111\) | 4.92276 | − | 11.0298i | 0.467248 | − | 1.04690i | ||||
\(112\) | −1.64322 | + | 10.1689i | −0.155270 | + | 0.960872i | ||||
\(113\) | 6.14805i | 0.578360i | 0.957275 | + | 0.289180i | \(0.0933826\pi\) | ||||
−0.957275 | + | 0.289180i | \(0.906617\pi\) | |||||||
\(114\) | 0.0634800 | + | 0.609279i | 0.00594545 | + | 0.0570642i | ||||
\(115\) | −1.31428 | + | 2.27641i | −0.122558 | + | 0.212276i | ||||
\(116\) | 0.284654 | + | 0.164345i | 0.0264295 | + | 0.0152591i | ||||
\(117\) | −10.7135 | + | 1.49063i | −0.990459 | + | 0.137809i | ||||
\(118\) | − | 4.69858i | − | 0.432539i | ||||||
\(119\) | −15.8185 | + | 6.01543i | −1.45008 | + | 0.551434i | ||||
\(120\) | 1.23592 | − | 2.76918i | 0.112824 | − | 0.252790i | ||||
\(121\) | −8.53581 | − | 14.7845i | −0.775983 | − | 1.34404i | ||||
\(122\) | −15.3930 | − | 8.88716i | −1.39362 | − | 0.804606i | ||||
\(123\) | 3.91172 | + | 5.39428i | 0.352708 | + | 0.486386i | ||||
\(124\) | −0.00590934 | − | 0.0102353i | −0.000530674 | − | 0.000919155i | ||||
\(125\) | − | 5.88470i | − | 0.526344i | ||||||
\(126\) | −9.84574 | − | 5.07807i | −0.877129 | − | 0.452390i | ||||
\(127\) | 1.45913 | 0.129477 | 0.0647384 | − | 0.997902i | \(-0.479379\pi\) | ||||
0.0647384 | + | 0.997902i | \(0.479379\pi\) | |||||||
\(128\) | −5.42636 | − | 9.39874i | −0.479627 | − | 0.830739i | ||||
\(129\) | −1.65956 | + | 1.20345i | −0.146116 | + | 0.105958i | ||||
\(130\) | 0.213265 | − | 3.06894i | 0.0187046 | − | 0.269164i | ||||
\(131\) | 2.34758 | + | 4.06612i | 0.205109 | + | 0.355259i | 0.950167 | − | 0.311740i | \(-0.100912\pi\) |
−0.745059 | + | 0.666999i | \(0.767578\pi\) | |||||||
\(132\) | −0.435572 | − | 0.194402i | −0.0379117 | − | 0.0169205i | ||||
\(133\) | 0.106949 | − | 0.661842i | 0.00927363 | − | 0.0573890i | ||||
\(134\) | − | 15.0125i | − | 1.29689i | ||||||
\(135\) | 2.35481 | + | 2.13189i | 0.202670 | + | 0.183484i | ||||
\(136\) | 9.15976 | − | 15.8652i | 0.785443 | − | 1.36043i | ||||
\(137\) | 7.95042 | − | 13.7705i | 0.679250 | − | 1.17650i | −0.295957 | − | 0.955201i | \(-0.595638\pi\) |
0.975207 | − | 0.221295i | \(-0.0710282\pi\) | |||||||
\(138\) | −10.3387 | + | 1.07718i | −0.880091 | + | 0.0916956i | ||||
\(139\) | 10.0341i | 0.851078i | 0.904940 | + | 0.425539i | \(0.139915\pi\) | ||||
−0.904940 | + | 0.425539i | \(0.860085\pi\) | |||||||
\(140\) | −0.0531091 | + | 0.0651664i | −0.00448854 | + | 0.00550757i | ||||
\(141\) | −1.34721 | + | 3.01853i | −0.113456 | + | 0.254206i | ||||
\(142\) | −4.54898 | − | 7.87907i | −0.381742 | − | 0.661196i | ||||
\(143\) | −19.0572 | − | 1.32431i | −1.59364 | − | 0.110745i | ||||
\(144\) | 11.4292 | − | 2.40772i | 0.952431 | − | 0.200643i | ||||
\(145\) | −1.93291 | − | 3.34790i | −0.160519 | − | 0.278028i | ||||
\(146\) | 17.0023 | 1.40712 | ||||||||
\(147\) | 8.95182 | + | 8.17710i | 0.738334 | + | 0.674436i | ||||
\(148\) | − | 0.362463i | − | 0.0297943i | ||||||
\(149\) | −5.66226 | − | 9.80732i | −0.463870 | − | 0.803447i | 0.535279 | − | 0.844675i | \(-0.320206\pi\) |
−0.999150 | + | 0.0412280i | \(0.986873\pi\) | |||||||
\(150\) | 9.05386 | − | 6.56550i | 0.739245 | − | 0.536071i | ||||
\(151\) | 2.48203 | + | 1.43300i | 0.201985 | + | 0.116616i | 0.597581 | − | 0.801809i | \(-0.296129\pi\) |
−0.395596 | + | 0.918425i | \(0.629462\pi\) | |||||||
\(152\) | 0.362863 | + | 0.628497i | 0.0294320 | + | 0.0509778i | ||||
\(153\) | 12.8145 | + | 14.2839i | 1.03599 | + | 1.15478i | ||||
\(154\) | −15.1663 | − | 12.3602i | −1.22213 | − | 0.996010i | ||||
\(155\) | 0.139003i | 0.0111650i | ||||||||
\(156\) | −0.275354 | + | 0.171880i | −0.0220460 | + | 0.0137614i | ||||
\(157\) | 9.60863 | + | 5.54754i | 0.766852 | + | 0.442742i | 0.831751 | − | 0.555150i | \(-0.187339\pi\) |
−0.0648984 | + | 0.997892i | \(0.520672\pi\) | |||||||
\(158\) | −5.80016 | + | 10.0462i | −0.461436 | + | 0.799231i | ||||
\(159\) | −5.09623 | + | 0.530970i | −0.404157 | + | 0.0421087i | ||||
\(160\) | − | 0.179697i | − | 0.0142063i | ||||||
\(161\) | 11.2307 | + | 1.81479i | 0.885100 | + | 0.143026i | ||||
\(162\) | −1.35827 | + | 12.4878i | −0.106716 | + | 0.981134i | ||||
\(163\) | −14.7955 | + | 8.54216i | −1.15887 | + | 0.669074i | −0.951033 | − | 0.309090i | \(-0.899976\pi\) |
−0.207837 | + | 0.978164i | \(0.566642\pi\) | |||||||
\(164\) | 0.173169 | + | 0.0999794i | 0.0135223 | + | 0.00780708i | ||||
\(165\) | 3.29334 | + | 4.54154i | 0.256386 | + | 0.353558i | ||||
\(166\) | 17.1351 | − | 9.89295i | 1.32994 | − | 0.767842i | ||||
\(167\) | 3.12753i | 0.242016i | 0.992652 | + | 0.121008i | \(0.0386126\pi\) | ||||
−0.992652 | + | 0.121008i | \(0.961387\pi\) | |||||||
\(168\) | −13.1035 | − | 0.739738i | −1.01096 | − | 0.0570720i | ||||
\(169\) | −7.99472 | + | 10.2511i | −0.614978 | + | 0.788544i | ||||
\(170\) | −4.72648 | + | 2.72883i | −0.362504 | + | 0.209292i | ||||
\(171\) | −0.743866 | + | 0.156706i | −0.0568849 | + | 0.0119836i | ||||
\(172\) | −0.0307588 | + | 0.0532759i | −0.00234534 | + | 0.00406225i | ||||
\(173\) | −1.33169 | − | 2.30656i | −0.101247 | − | 0.175364i | 0.810952 | − | 0.585113i | \(-0.198950\pi\) |
−0.912199 | + | 0.409749i | \(0.865616\pi\) | |||||||
\(174\) | 6.23059 | − | 13.9601i | 0.472340 | − | 1.05831i | ||||
\(175\) | −11.4407 | + | 4.35067i | −0.864836 | + | 0.328879i | ||||
\(176\) | 20.6280 | 1.55489 | ||||||||
\(177\) | 5.79943 | − | 0.604236i | 0.435912 | − | 0.0454172i | ||||
\(178\) | −8.51164 | − | 4.91420i | −0.637974 | − | 0.368335i | ||||
\(179\) | −22.8750 | − | 13.2069i | −1.70976 | − | 0.987129i | −0.934843 | − | 0.355062i | \(-0.884460\pi\) |
−0.774914 | − | 0.632066i | \(-0.782207\pi\) | |||||||
\(180\) | 0.0906040 | + | 0.0296205i | 0.00675322 | + | 0.00220778i | ||||
\(181\) | − | 7.12997i | − | 0.529967i | −0.964253 | − | 0.264983i | \(-0.914634\pi\) | ||
0.964253 | − | 0.264983i | \(-0.0853665\pi\) | |||||||
\(182\) | −12.7430 | + | 3.85839i | −0.944571 | + | 0.286003i | ||||
\(183\) | 8.98985 | − | 20.1424i | 0.664549 | − | 1.48897i | ||||
\(184\) | −10.6648 | + | 6.15734i | −0.786222 | + | 0.453925i | ||||
\(185\) | −2.13152 | + | 3.69189i | −0.156712 | + | 0.271433i | ||||
\(186\) | −0.444999 | + | 0.322695i | −0.0326289 | + | 0.0236612i | ||||
\(187\) | 16.9453 | + | 29.3501i | 1.23916 | + | 2.14629i | ||||
\(188\) | 0.0991952i | 0.00723455i | ||||||||
\(189\) | 5.00167 | − | 12.8056i | 0.363818 | − | 0.931470i | ||||
\(190\) | − | 0.216205i | − | 0.0156851i | ||||||
\(191\) | 2.02679 | − | 1.17017i | 0.146654 | − | 0.0846705i | −0.424878 | − | 0.905251i | \(-0.639683\pi\) |
0.571531 | + | 0.820580i | \(0.306350\pi\) | |||||||
\(192\) | 11.4936 | − | 8.33471i | 0.829480 | − | 0.601506i | ||||
\(193\) | −10.2861 | − | 5.93866i | −0.740407 | − | 0.427474i | 0.0818104 | − | 0.996648i | \(-0.473930\pi\) |
−0.822217 | + | 0.569174i | \(0.807263\pi\) | |||||||
\(194\) | 9.92855 | + | 17.1967i | 0.712828 | + | 1.23465i | ||||
\(195\) | 3.81540 | − | 0.131433i | 0.273227 | − | 0.00941209i | ||||
\(196\) | 0.345321 | + | 0.114595i | 0.0246658 | + | 0.00818535i | ||||
\(197\) | −17.6724 | −1.25910 | −0.629552 | − | 0.776958i | \(-0.716762\pi\) | ||||
−0.629552 | + | 0.776958i | \(0.716762\pi\) | |||||||
\(198\) | −6.89363 | + | 21.0864i | −0.489909 | + | 1.49854i | ||||
\(199\) | −1.38591 | − | 0.800155i | −0.0982445 | − | 0.0567215i | 0.450073 | − | 0.892992i | \(-0.351398\pi\) |
−0.548317 | + | 0.836270i | \(0.684731\pi\) | |||||||
\(200\) | 6.62480 | − | 11.4745i | 0.468444 | − | 0.811369i | ||||
\(201\) | 18.5299 | − | 1.93061i | 1.30700 | − | 0.136175i | ||||
\(202\) | 0.575102 | 0.0404640 | ||||||||
\(203\) | −10.5699 | + | 12.9695i | −0.741859 | + | 0.910283i | ||||
\(204\) | 0.525860 | + | 0.234699i | 0.0368176 | + | 0.0164322i | ||||
\(205\) | −1.17589 | − | 2.03670i | −0.0821275 | − | 0.142249i | ||||
\(206\) | 15.8951 | + | 9.17702i | 1.10746 | + | 0.639393i | ||||
\(207\) | −2.65911 | − | 12.6225i | −0.184821 | − | 0.877325i | ||||
\(208\) | 7.84471 | − | 11.6411i | 0.543933 | − | 0.807168i | ||||
\(209\) | −1.34257 | −0.0928674 | ||||||||
\(210\) | 3.27055 | + | 2.14273i | 0.225689 | + | 0.147862i | ||||
\(211\) | 1.05553 | 0.0726655 | 0.0363328 | − | 0.999340i | \(-0.488432\pi\) | ||||
0.0363328 | + | 0.999340i | \(0.488432\pi\) | |||||||
\(212\) | −0.133160 | + | 0.0768800i | −0.00914547 | + | 0.00528014i | ||||
\(213\) | 9.14010 | − | 6.62803i | 0.626269 | − | 0.454145i | ||||
\(214\) | −7.47159 | − | 4.31372i | −0.510747 | − | 0.294880i | ||||
\(215\) | 0.626593 | − | 0.361764i | 0.0427333 | − | 0.0246721i | ||||
\(216\) | 4.56022 | + | 14.1657i | 0.310284 | + | 0.963857i | ||||
\(217\) | 0.562313 | − | 0.213836i | 0.0381723 | − | 0.0145161i | ||||
\(218\) | 21.3744i | 1.44766i | ||||||||
\(219\) | 2.18649 | + | 20.9859i | 0.147749 | + | 1.41809i | ||||
\(220\) | 0.145794 | + | 0.0841744i | 0.00982945 | + | 0.00567503i | ||||
\(221\) | 23.0075 | + | 1.59883i | 1.54765 | + | 0.107549i | ||||
\(222\) | −16.7674 | + | 1.74698i | −1.12536 | + | 0.117249i | ||||
\(223\) | 3.29430 | 0.220603 | 0.110301 | − | 0.993898i | \(-0.464818\pi\) | ||||
0.110301 | + | 0.993898i | \(0.464818\pi\) | |||||||
\(224\) | −0.726933 | + | 0.276438i | −0.0485702 | + | 0.0184703i | ||||
\(225\) | 9.26809 | + | 10.3308i | 0.617873 | + | 0.688721i | ||||
\(226\) | 7.43131 | − | 4.29047i | 0.494323 | − | 0.285398i | ||||
\(227\) | 7.64728 | + | 4.41516i | 0.507567 | + | 0.293044i | 0.731833 | − | 0.681484i | \(-0.238665\pi\) |
−0.224266 | + | 0.974528i | \(0.571998\pi\) | |||||||
\(228\) | −0.0184679 | + | 0.0133922i | −0.00122307 | + | 0.000886918i | ||||
\(229\) | 9.15938 | + | 15.8645i | 0.605269 | + | 1.04836i | 0.992009 | + | 0.126168i | \(0.0402678\pi\) |
−0.386740 | + | 0.922189i | \(0.626399\pi\) | |||||||
\(230\) | 3.66873 | 0.241909 | ||||||||
\(231\) | 13.3057 | − | 20.3092i | 0.875451 | − | 1.33625i | ||||
\(232\) | − | 18.1111i | − | 1.18905i | ||||||
\(233\) | 1.15726 | − | 0.668143i | 0.0758145 | − | 0.0437715i | −0.461614 | − | 0.887081i | \(-0.652729\pi\) |
0.537428 | + | 0.843310i | \(0.319396\pi\) | |||||||
\(234\) | 9.27823 | + | 11.9094i | 0.606537 | + | 0.778540i | ||||
\(235\) | 0.583332 | − | 1.01036i | 0.0380524 | − | 0.0659086i | ||||
\(236\) | 0.151534 | − | 0.0874883i | 0.00986404 | − | 0.00569500i | ||||
\(237\) | −13.1459 | − | 5.86718i | −0.853915 | − | 0.381114i | ||||
\(238\) | 18.3100 | + | 14.9223i | 1.18686 | + | 0.967266i | ||||
\(239\) | −7.76160 | −0.502056 | −0.251028 | − | 0.967980i | \(-0.580769\pi\) | ||||
−0.251028 | + | 0.967980i | \(0.580769\pi\) | |||||||
\(240\) | −4.10019 | + | 0.427194i | −0.264666 | + | 0.0275753i | ||||
\(241\) | −0.515453 | + | 0.892790i | −0.0332032 | + | 0.0575097i | −0.882150 | − | 0.470969i | \(-0.843904\pi\) |
0.848946 | + | 0.528479i | \(0.177238\pi\) | |||||||
\(242\) | −11.9136 | + | 20.6349i | −0.765833 | + | 1.32646i | ||||
\(243\) | −15.5883 | − | 0.0705805i | −0.999990 | − | 0.00452774i | ||||
\(244\) | − | 0.661922i | − | 0.0423752i | ||||||
\(245\) | −2.84340 | − | 3.19792i | −0.181658 | − | 0.204308i | ||||
\(246\) | 3.79038 | − | 8.49264i | 0.241666 | − | 0.541471i | ||||
\(247\) | −0.510572 | + | 0.757662i | −0.0324869 | + | 0.0482089i | ||||
\(248\) | −0.325610 | + | 0.563973i | −0.0206763 | + | 0.0358123i | ||||
\(249\) | 14.4144 | + | 19.8775i | 0.913475 | + | 1.25969i | ||||
\(250\) | −7.11299 | + | 4.10669i | −0.449865 | + | 0.259730i | ||||
\(251\) | −23.4625 | −1.48094 | −0.740470 | − | 0.672090i | \(-0.765397\pi\) | ||||
−0.740470 | + | 0.672090i | \(0.765397\pi\) | |||||||
\(252\) | −0.0195563 | − | 0.412090i | −0.00123193 | − | 0.0259592i | ||||
\(253\) | − | 22.7818i | − | 1.43228i | ||||||
\(254\) | −1.01826 | − | 1.76369i | −0.0638916 | − | 0.110664i | ||||
\(255\) | −3.97601 | − | 5.48294i | −0.248987 | − | 0.343355i | ||||
\(256\) | 0.623298 | − | 1.07958i | 0.0389561 | − | 0.0674740i | ||||
\(257\) | −7.45122 | − | 12.9059i | −0.464795 | − | 0.805048i | 0.534398 | − | 0.845233i | \(-0.320539\pi\) |
−0.999192 | + | 0.0401853i | \(0.987205\pi\) | |||||||
\(258\) | 2.61277 | + | 1.16612i | 0.162664 | + | 0.0725994i | ||||
\(259\) | 18.2140 | + | 2.94324i | 1.13176 | + | 0.182884i | ||||
\(260\) | 0.102948 | − | 0.0502661i | 0.00638454 | − | 0.00311737i | ||||
\(261\) | 18.0321 | + | 5.89513i | 1.11616 | + | 0.364899i | ||||
\(262\) | 3.27655 | − | 5.67516i | 0.202426 | − | 0.350612i | ||||
\(263\) | 16.1197 | + | 9.30674i | 0.993986 | + | 0.573878i | 0.906463 | − | 0.422284i | \(-0.138772\pi\) |
0.0875227 | + | 0.996163i | \(0.472105\pi\) | |||||||
\(264\) | 2.72358 | + | 26.1408i | 0.167625 | + | 1.60886i | ||||
\(265\) | 1.80842 | 0.111090 | ||||||||
\(266\) | −0.874620 | + | 0.332600i | −0.0536264 | + | 0.0203930i | ||||
\(267\) | 4.97098 | − | 11.1378i | 0.304219 | − | 0.681625i | ||||
\(268\) | 0.484170 | − | 0.279536i | 0.0295754 | − | 0.0170754i | ||||
\(269\) | 8.01136 | − | 13.8761i | 0.488461 | − | 0.846040i | −0.511451 | − | 0.859313i | \(-0.670892\pi\) |
0.999912 | + | 0.0132729i | \(0.00422501\pi\) | |||||||
\(270\) | 0.933549 | − | 4.33407i | 0.0568140 | − | 0.263763i | ||||
\(271\) | −5.30174 | − | 9.18288i | −0.322058 | − | 0.557820i | 0.658855 | − | 0.752270i | \(-0.271041\pi\) |
−0.980912 | + | 0.194450i | \(0.937708\pi\) | |||||||
\(272\) | −24.9039 | −1.51002 | ||||||||
\(273\) | −6.40114 | − | 15.2324i | −0.387415 | − | 0.921906i | ||||
\(274\) | −22.1931 | −1.34073 | ||||||||
\(275\) | 12.2557 | + | 21.2274i | 0.739045 | + | 1.28006i | ||||
\(276\) | −0.227249 | − | 0.313378i | −0.0136788 | − | 0.0188631i | ||||
\(277\) | −8.66166 | + | 15.0024i | −0.520429 | + | 0.901409i | 0.479289 | + | 0.877657i | \(0.340895\pi\) |
−0.999718 | + | 0.0237519i | \(0.992439\pi\) | |||||||
\(278\) | 12.1284 | − | 7.00235i | 0.727414 | − | 0.419973i | ||||
\(279\) | −0.455528 | − | 0.507762i | −0.0272718 | − | 0.0303989i | ||||
\(280\) | 4.57285 | + | 0.738938i | 0.273280 | + | 0.0441600i | ||||
\(281\) | 5.94001 | 0.354351 | 0.177176 | − | 0.984179i | \(-0.443304\pi\) | ||||
0.177176 | + | 0.984179i | \(0.443304\pi\) | |||||||
\(282\) | 4.58874 | − | 0.478095i | 0.273255 | − | 0.0284701i | ||||
\(283\) | −19.2541 | − | 11.1164i | −1.14454 | − | 0.660799i | −0.196987 | − | 0.980406i | \(-0.563116\pi\) |
−0.947550 | + | 0.319607i | \(0.896449\pi\) | |||||||
\(284\) | 0.169406 | − | 0.293419i | 0.0100524 | − | 0.0174112i | ||||
\(285\) | 0.266861 | − | 0.0278039i | 0.0158075 | − | 0.00164696i | ||||
\(286\) | 11.6985 | + | 23.9591i | 0.691747 | + | 1.41673i | ||||
\(287\) | −6.43018 | + | 7.89002i | −0.379562 | + | 0.465733i | ||||
\(288\) | 0.588886 | + | 0.656411i | 0.0347005 | + | 0.0386794i | ||||
\(289\) | −11.9578 | − | 20.7115i | −0.703400 | − | 1.21832i | ||||
\(290\) | −2.69779 | + | 4.67272i | −0.158420 | + | 0.274391i | ||||
\(291\) | −19.9491 | + | 14.4663i | −1.16943 | + | 0.848027i | ||||
\(292\) | 0.316586 | + | 0.548342i | 0.0185268 | + | 0.0320893i | ||||
\(293\) | − | 6.79656i | − | 0.397059i | −0.980095 | − | 0.198530i | \(-0.936383\pi\) | ||
0.980095 | − | 0.198530i | \(-0.0636166\pi\) | |||||||
\(294\) | 3.63676 | − | 16.5267i | 0.212100 | − | 0.963859i | ||||
\(295\) | −2.05795 | −0.119819 | ||||||||
\(296\) | −17.2963 | + | 9.98602i | −1.00533 | + | 0.580426i | ||||
\(297\) | −26.9133 | − | 5.79707i | −1.56167 | − | 0.336380i | ||||
\(298\) | −7.90291 | + | 13.6882i | −0.457803 | + | 0.792938i | ||||
\(299\) | −12.8566 | − | 8.66379i | −0.743517 | − | 0.501040i | ||||
\(300\) | 0.380329 | + | 0.169746i | 0.0219583 | + | 0.00980030i | ||||
\(301\) | −2.42738 | − | 1.97826i | −0.139912 | − | 0.114025i | ||||
\(302\) | − | 4.00013i | − | 0.230182i | ||||||
\(303\) | 0.0739579 | + | 0.709845i | 0.00424877 | + | 0.0407796i | ||||
\(304\) | 0.493282 | − | 0.854390i | 0.0282917 | − | 0.0490026i | ||||
\(305\) | −3.89253 | + | 6.74205i | −0.222885 | + | 0.386049i | ||||
\(306\) | 8.32259 | − | 25.4573i | 0.475771 | − | 1.45530i | ||||
\(307\) | −25.1764 | −1.43690 | −0.718448 | − | 0.695581i | \(-0.755147\pi\) | ||||
−0.718448 | + | 0.695581i | \(0.755147\pi\) | |||||||
\(308\) | 0.116230 | − | 0.719277i | 0.00662280 | − | 0.0409846i | ||||
\(309\) | −9.28305 | + | 20.7994i | −0.528094 | + | 1.18323i | ||||
\(310\) | 0.168016 | − | 0.0970043i | 0.00954269 | − | 0.00550947i | ||||
\(311\) | 4.54000 | − | 7.86350i | 0.257440 | − | 0.445898i | −0.708116 | − | 0.706096i | \(-0.750455\pi\) |
0.965555 | + | 0.260198i | \(0.0837879\pi\) | |||||||
\(312\) | 15.7880 | + | 8.40420i | 0.893821 | + | 0.475794i | ||||
\(313\) | 1.97646 | − | 1.14111i | 0.111716 | − | 0.0644995i | −0.443101 | − | 0.896472i | \(-0.646122\pi\) |
0.554817 | + | 0.831972i | \(0.312788\pi\) | |||||||
\(314\) | − | 15.4856i | − | 0.873903i | ||||||
\(315\) | −2.22416 | + | 4.31238i | −0.125317 | + | 0.242975i | ||||
\(316\) | −0.432000 | −0.0243019 | ||||||||
\(317\) | 0.0939520 | + | 0.162730i | 0.00527687 | + | 0.00913981i | 0.868652 | − | 0.495423i | \(-0.164987\pi\) |
−0.863375 | + | 0.504563i | \(0.831654\pi\) | |||||||
\(318\) | 4.19824 | + | 5.78940i | 0.235426 | + | 0.324654i | ||||
\(319\) | 29.0162 | + | 16.7525i | 1.62460 | + | 0.937961i | ||||
\(320\) | −4.33959 | + | 2.50547i | −0.242591 | + | 0.140060i | ||||
\(321\) | 4.36356 | − | 9.77689i | 0.243550 | − | 0.545693i | ||||
\(322\) | −5.64382 | − | 14.8413i | −0.314518 | − | 0.827071i | ||||
\(323\) | 1.62087 | 0.0901874 | ||||||||
\(324\) | −0.428036 | + | 0.188719i | −0.0237798 | + | 0.0104844i | ||||
\(325\) | 16.6402 | + | 1.15635i | 0.923033 | + | 0.0641428i | ||||
\(326\) | 20.6503 | + | 11.9224i | 1.14371 | + | 0.660322i | ||||
\(327\) | −26.3823 | + | 2.74874i | −1.45895 | + | 0.152006i | ||||
\(328\) | − | 11.0179i | − | 0.608363i | ||||||
\(329\) | −4.98462 | − | 0.805477i | −0.274811 | − | 0.0444074i | ||||
\(330\) | 3.19119 | − | 7.15010i | 0.175669 | − | 0.393600i | ||||
\(331\) | 18.3872 | − | 10.6159i | 1.01065 | − | 0.583502i | 0.0992714 | − | 0.995060i | \(-0.468349\pi\) |
0.911383 | + | 0.411559i | \(0.135015\pi\) | |||||||
\(332\) | 0.638116 | + | 0.368417i | 0.0350212 | + | 0.0202195i | ||||
\(333\) | −4.31257 | − | 20.4713i | −0.236327 | − | 1.12182i | ||||
\(334\) | 3.78033 | − | 2.18257i | 0.206850 | − | 0.119425i | ||||
\(335\) | −6.57540 | −0.359253 | ||||||||
\(336\) | 8.03571 | + | 15.9295i | 0.438384 | + | 0.869024i | ||||
\(337\) | 21.2121 | 1.15549 | 0.577747 | − | 0.816216i | \(-0.303932\pi\) | ||||
0.577747 | + | 0.816216i | \(0.303932\pi\) | |||||||
\(338\) | 17.9699 | + | 2.50963i | 0.977434 | + | 0.136506i | ||||
\(339\) | 6.25137 | + | 8.62067i | 0.339528 | + | 0.468211i | ||||
\(340\) | −0.176016 | − | 0.101623i | −0.00954578 | − | 0.00551126i | ||||
\(341\) | −0.602368 | − | 1.04333i | −0.0326201 | − | 0.0564996i | ||||
\(342\) | 0.708528 | + | 0.789771i | 0.0383128 | + | 0.0427059i | ||||
\(343\) | −8.56250 | + | 16.4220i | −0.462332 | + | 0.886707i | ||||
\(344\) | 3.38968 | 0.182759 | ||||||||
\(345\) | 0.471798 | + | 4.52830i | 0.0254008 | + | 0.243796i | ||||
\(346\) | −1.85866 | + | 3.21930i | −0.0999223 | + | 0.173071i | ||||
\(347\) | 6.28808 | + | 3.63043i | 0.337562 | + | 0.194892i | 0.659193 | − | 0.751973i | \(-0.270898\pi\) |
−0.321631 | + | 0.946865i | \(0.604231\pi\) | |||||||
\(348\) | 0.566243 | − | 0.0589962i | 0.0303538 | − | 0.00316253i | ||||
\(349\) | 8.93350 | 0.478199 | 0.239100 | − | 0.970995i | \(-0.423148\pi\) | ||||
0.239100 | + | 0.970995i | \(0.423148\pi\) | |||||||
\(350\) | 13.2428 | + | 10.7925i | 0.707855 | + | 0.576885i | ||||
\(351\) | −13.5065 | + | 12.9836i | −0.720924 | + | 0.693014i | ||||
\(352\) | 0.778715 | + | 1.34877i | 0.0415056 | + | 0.0718899i | ||||
\(353\) | 12.3163 | + | 7.11081i | 0.655530 | + | 0.378470i | 0.790572 | − | 0.612369i | \(-0.209783\pi\) |
−0.135042 | + | 0.990840i | \(0.543117\pi\) | |||||||
\(354\) | −4.77754 | − | 6.58825i | −0.253923 | − | 0.350162i | ||||
\(355\) | −3.45099 | + | 1.99243i | −0.183159 | + | 0.105747i | ||||
\(356\) | − | 0.366013i | − | 0.0193986i | ||||||
\(357\) | −16.0638 | + | 24.5190i | −0.850187 | + | 1.29768i | ||||
\(358\) | 36.8661i | 1.94843i | ||||||||
\(359\) | −10.6132 | − | 18.3827i | −0.560145 | − | 0.970199i | −0.997483 | − | 0.0709023i | \(-0.977412\pi\) |
0.437338 | − | 0.899297i | \(-0.355921\pi\) | |||||||
\(360\) | −1.08272 | − | 5.13957i | −0.0570646 | − | 0.270879i | ||||
\(361\) | 9.46789 | − | 16.3989i | 0.498310 | − | 0.863099i | ||||
\(362\) | −8.61818 | + | 4.97571i | −0.452961 | + | 0.261517i | ||||
\(363\) | −27.0017 | − | 12.0512i | −1.41722 | − | 0.632525i | ||||
\(364\) | −0.361713 | − | 0.339130i | −0.0189589 | − | 0.0177752i | ||||
\(365\) | − | 7.44691i | − | 0.389789i | ||||||
\(366\) | −30.6203 | + | 3.19029i | −1.60055 | + | 0.166759i | ||||
\(367\) | −8.54454 | − | 4.93320i | −0.446022 | − | 0.257511i | 0.260127 | − | 0.965574i | \(-0.416236\pi\) |
−0.706149 | + | 0.708064i | \(0.749569\pi\) | |||||||
\(368\) | 14.4980 | + | 8.37041i | 0.755759 | + | 0.436338i | ||||
\(369\) | 10.9699 | + | 3.58630i | 0.571068 | + | 0.186695i | ||||
\(370\) | 5.94998 | 0.309325 | ||||||||
\(371\) | −2.78199 | − | 7.31565i | −0.144434 | − | 0.379809i | ||||
\(372\) | −0.0186932 | − | 0.00834305i | −0.000969199 | − | 0.000432567i | ||||
\(373\) | 3.41256 | + | 5.91072i | 0.176695 | + | 0.306046i | 0.940747 | − | 0.339110i | \(-0.110126\pi\) |
−0.764051 | + | 0.645156i | \(0.776793\pi\) | |||||||
\(374\) | 23.6508 | − | 40.9643i | 1.22295 | − | 2.11822i | ||||
\(375\) | −5.98359 | − | 8.25141i | −0.308991 | − | 0.426101i | ||||
\(376\) | 4.73348 | − | 2.73287i | 0.244110 | − | 0.140937i | ||||
\(377\) | 20.4888 | − | 10.0040i | 1.05523 | − | 0.515234i | ||||
\(378\) | −18.9689 | + | 2.89084i | −0.975655 | + | 0.148689i | ||||
\(379\) | − | 9.65252i | − | 0.495817i | −0.968783 | − | 0.247908i | \(-0.920257\pi\) | ||
0.968783 | − | 0.247908i | \(-0.0797432\pi\) | |||||||
\(380\) | 0.00697283 | − | 0.00402577i | 0.000357699 | − | 0.000206518i | ||||
\(381\) | 2.04596 | − | 1.48365i | 0.104818 | − | 0.0760096i | ||||
\(382\) | −2.82883 | − | 1.63322i | −0.144735 | − | 0.0835630i | ||||
\(383\) | −0.534935 | + | 0.308845i | −0.0273339 | + | 0.0157812i | −0.513605 | − | 0.858027i | \(-0.671690\pi\) |
0.486271 | + | 0.873808i | \(0.338357\pi\) | |||||||
\(384\) | −17.1654 | − | 7.66117i | −0.875969 | − | 0.390957i | ||||
\(385\) | −5.41368 | + | 6.64274i | −0.275907 | + | 0.338545i | ||||
\(386\) | 16.5774i | 0.843766i | ||||||||
\(387\) | −1.10333 | + | 3.37490i | −0.0560855 | + | 0.171556i | ||||
\(388\) | −0.369742 | + | 0.640412i | −0.0187708 | + | 0.0325120i | ||||
\(389\) | −6.04565 | − | 3.49046i | −0.306527 | − | 0.176973i | 0.338845 | − | 0.940842i | \(-0.389964\pi\) |
−0.645371 | + | 0.763869i | \(0.723297\pi\) | |||||||
\(390\) | −2.82147 | − | 4.52005i | −0.142871 | − | 0.228882i | ||||
\(391\) | 27.5041i | 1.39094i | ||||||||
\(392\) | −4.04542 | − | 19.6354i | −0.204325 | − | 0.991739i | ||||
\(393\) | 7.42618 | + | 3.31441i | 0.374601 | + | 0.167190i | ||||
\(394\) | 12.3328 | + | 21.3611i | 0.621318 | + | 1.07615i | ||||
\(395\) | 4.40017 | + | 2.54044i | 0.221397 | + | 0.127823i | ||||
\(396\) | −0.808419 | + | 0.170305i | −0.0406246 | + | 0.00855815i | ||||
\(397\) | −11.7435 | − | 20.3403i | −0.589388 | − | 1.02085i | −0.994313 | − | 0.106500i | \(-0.966036\pi\) |
0.404925 | − | 0.914350i | \(-0.367298\pi\) | |||||||
\(398\) | 2.23358i | 0.111959i | ||||||||
\(399\) | −0.523003 | − | 1.03677i | −0.0261829 | − | 0.0519033i | ||||
\(400\) | −18.0118 | −0.900588 | ||||||||
\(401\) | 3.07594 | + | 5.32768i | 0.153605 | + | 0.266052i | 0.932550 | − | 0.361040i | \(-0.117578\pi\) |
−0.778945 | + | 0.627092i | \(0.784245\pi\) | |||||||
\(402\) | −15.2648 | − | 21.0503i | −0.761340 | − | 1.04989i | ||||
\(403\) | −0.817869 | − | 0.0568349i | −0.0407410 | − | 0.00283115i | ||||
\(404\) | 0.0107085 | + | 0.0185476i | 0.000532767 | + | 0.000922780i | ||||
\(405\) | 5.46958 | + | 0.594915i | 0.271786 | + | 0.0295616i | ||||
\(406\) | 23.0529 | + | 3.72517i | 1.14409 | + | 0.184877i | ||||
\(407\) | − | 36.9476i | − | 1.83143i | ||||||
\(408\) | −3.28814 | − | 31.5595i | −0.162787 | − | 1.56243i | ||||
\(409\) | 2.13589 | − | 3.69946i | 0.105613 | − | 0.182927i | −0.808376 | − | 0.588667i | \(-0.799653\pi\) |
0.913988 | + | 0.405740i | \(0.132986\pi\) | |||||||
\(410\) | −1.64120 | + | 2.84265i | −0.0810533 | + | 0.140388i | ||||
\(411\) | −2.85402 | − | 27.3928i | −0.140778 | − | 1.35119i | ||||
\(412\) | 0.683510i | 0.0336741i | ||||||||
\(413\) | 3.16586 | + | 8.32510i | 0.155782 | + | 0.409651i | ||||
\(414\) | −13.4015 | + | 12.0229i | −0.658646 | + | 0.590891i | ||||
\(415\) | −4.33306 | − | 7.50507i | −0.212701 | − | 0.368409i | ||||
\(416\) | 1.05730 | + | 0.0734736i | 0.0518386 | + | 0.00360234i | ||||
\(417\) | 10.2027 | + | 14.0696i | 0.499627 | + | 0.688989i | ||||
\(418\) | 0.936922 | + | 1.62280i | 0.0458264 | + | 0.0793736i | ||||
\(419\) | −22.0324 | −1.07635 | −0.538177 | − | 0.842832i | \(-0.680887\pi\) | ||||
−0.538177 | + | 0.842832i | \(0.680887\pi\) | |||||||
\(420\) | −0.00820699 | + | 0.145377i | −0.000400460 | + | 0.00709366i | ||||
\(421\) | 1.74256i | 0.0849272i | 0.999098 | + | 0.0424636i | \(0.0135206\pi\) | ||||
−0.999098 | + | 0.0424636i | \(0.986479\pi\) | |||||||
\(422\) | −0.736609 | − | 1.27584i | −0.0358575 | − | 0.0621071i | ||||
\(423\) | 1.18022 | + | 5.60238i | 0.0573843 | + | 0.272397i | ||||
\(424\) | 7.33725 | + | 4.23616i | 0.356328 | + | 0.205726i | ||||
\(425\) | −14.7961 | − | 25.6276i | −0.717717 | − | 1.24312i | ||||
\(426\) | −14.3900 | − | 6.42244i | −0.697196 | − | 0.311168i | ||||
\(427\) | 33.2620 | + | 5.37488i | 1.60966 | + | 0.260109i | ||||
\(428\) | − | 0.321289i | − | 0.0155301i | ||||||
\(429\) | −28.0682 | + | 17.5205i | −1.35515 | + | 0.845900i | ||||
\(430\) | −0.874546 | − | 0.504919i | −0.0421743 | − | 0.0243494i | ||||
\(431\) | 1.03348 | − | 1.79003i | 0.0497808 | − | 0.0862228i | −0.840061 | − | 0.542491i | \(-0.817481\pi\) |
0.889842 | + | 0.456269i | \(0.150814\pi\) | |||||||
\(432\) | 13.5776 | − | 14.9973i | 0.653252 | − | 0.721558i | ||||
\(433\) | − | 10.3446i | − | 0.497130i | −0.968615 | − | 0.248565i | \(-0.920041\pi\) | ||
0.968615 | − | 0.248565i | \(-0.0799590\pi\) | |||||||
\(434\) | −0.650884 | − | 0.530455i | −0.0312434 | − | 0.0254626i | ||||
\(435\) | −6.11445 | − | 2.72896i | −0.293165 | − | 0.130844i | ||||
\(436\) | −0.689347 | + | 0.397995i | −0.0330137 | + | 0.0190605i | ||||
\(437\) | −0.943598 | − | 0.544787i | −0.0451384 | − | 0.0260607i | ||||
\(438\) | 23.8403 | − | 17.2880i | 1.13913 | − | 0.826053i | ||||
\(439\) | 7.84541 | − | 4.52955i | 0.374441 | − | 0.216184i | −0.300956 | − | 0.953638i | \(-0.597306\pi\) |
0.675397 | + | 0.737454i | \(0.263972\pi\) | |||||||
\(440\) | − | 9.27617i | − | 0.442224i | ||||||
\(441\) | 20.8666 | + | 2.36351i | 0.993646 | + | 0.112548i | ||||
\(442\) | −14.1234 | − | 28.9255i | −0.671784 | − | 1.37585i | ||||
\(443\) | 25.6171 | − | 14.7901i | 1.21711 | − | 0.702697i | 0.252809 | − | 0.967516i | \(-0.418646\pi\) |
0.964298 | + | 0.264819i | \(0.0853123\pi\) | |||||||
\(444\) | −0.368554 | − | 0.508238i | −0.0174908 | − | 0.0241199i | ||||
\(445\) | −2.15239 | + | 3.72805i | −0.102033 | + | 0.176727i | ||||
\(446\) | −2.29895 | − | 3.98190i | −0.108859 | − | 0.188549i | ||||
\(447\) | −17.9116 | − | 7.99422i | −0.847191 | − | 0.378114i | ||||
\(448\) | 16.8113 | + | 13.7008i | 0.794258 | + | 0.647302i | ||||
\(449\) | −10.8480 | −0.511947 | −0.255974 | − | 0.966684i | \(-0.582396\pi\) | ||||
−0.255974 | + | 0.966684i | \(0.582396\pi\) | |||||||
\(450\) | 6.01932 | − | 18.4120i | 0.283753 | − | 0.867951i | ||||
\(451\) | 17.6520 | + | 10.1914i | 0.831201 | + | 0.479894i | ||||
\(452\) | 0.276744 | + | 0.159778i | 0.0130170 | + | 0.00751534i | ||||
\(453\) | 4.93734 | − | 0.514415i | 0.231976 | − | 0.0241693i | ||||
\(454\) | − | 12.3246i | − | 0.578423i | ||||||
\(455\) | 1.68995 | + | 5.58134i | 0.0792263 | + | 0.261657i | ||||
\(456\) | 1.14786 | + | 0.512305i | 0.0537533 | + | 0.0239909i | ||||
\(457\) | 4.25565 | − | 2.45700i | 0.199071 | − | 0.114934i | −0.397151 | − | 0.917753i | \(-0.630001\pi\) |
0.596222 | + | 0.802820i | \(0.296668\pi\) | |||||||
\(458\) | 12.7839 | − | 22.1424i | 0.597352 | − | 1.03464i | ||||
\(459\) | 32.4921 | + | 6.99873i | 1.51660 | + | 0.326673i | ||||
\(460\) | 0.0683124 | + | 0.118321i | 0.00318508 | + | 0.00551673i | ||||
\(461\) | − | 27.4391i | − | 1.27797i | −0.769221 | − | 0.638983i | \(-0.779355\pi\) | ||
0.769221 | − | 0.638983i | \(-0.220645\pi\) | |||||||
\(462\) | −33.8337 | − | 1.91002i | −1.57409 | − | 0.0888624i | ||||
\(463\) | 38.3413i | 1.78187i | 0.454129 | + | 0.890936i | \(0.349951\pi\) | ||||
−0.454129 | + | 0.890936i | \(0.650049\pi\) | |||||||
\(464\) | −21.3221 | + | 12.3103i | −0.989853 | + | 0.571492i | ||||
\(465\) | 0.141339 | + | 0.194907i | 0.00655443 | + | 0.00903860i | ||||
\(466\) | −1.61520 | − | 0.932538i | −0.0748229 | − | 0.0431990i | ||||
\(467\) | 6.50434 | + | 11.2658i | 0.300985 | + | 0.521321i | 0.976359 | − | 0.216154i | \(-0.0693513\pi\) |
−0.675374 | + | 0.737475i | \(0.736018\pi\) | |||||||
\(468\) | −0.211328 | + | 0.520987i | −0.00976864 | + | 0.0240826i | ||||
\(469\) | 10.1153 | + | 26.5997i | 0.467082 | + | 1.22826i | ||||
\(470\) | −1.62833 | −0.0751093 | ||||||||
\(471\) | 19.1138 | − | 1.99144i | 0.880717 | − | 0.0917608i | ||||
\(472\) | −8.34968 | − | 4.82069i | −0.384325 | − | 0.221890i | ||||
\(473\) | −3.13540 | + | 5.43068i | −0.144166 | + | 0.249703i | ||||
\(474\) | 2.08213 | + | 19.9842i | 0.0956353 | + | 0.917904i | ||||
\(475\) | 1.17229 | 0.0537885 | ||||||||
\(476\) | −0.140323 | + | 0.868373i | −0.00643168 | + | 0.0398018i | ||||
\(477\) | −6.60594 | + | 5.92639i | −0.302465 | + | 0.271351i | ||||
\(478\) | 5.41650 | + | 9.38164i | 0.247745 | + | 0.429106i | ||||
\(479\) | 10.1280 | + | 5.84739i | 0.462759 | + | 0.267174i | 0.713204 | − | 0.700957i | \(-0.247243\pi\) |
−0.250444 | + | 0.968131i | \(0.580577\pi\) | |||||||
\(480\) | −0.182716 | − | 0.251967i | −0.00833982 | − | 0.0115007i | ||||
\(481\) | −20.8509 | − | 14.0510i | −0.950721 | − | 0.640670i | ||||
\(482\) | 1.43885 | 0.0655379 | ||||||||
\(483\) | 17.5927 | − | 8.87473i | 0.800495 | − | 0.403814i | ||||
\(484\) | −0.887331 | −0.0403332 | ||||||||
\(485\) | 7.53208 | − | 4.34865i | 0.342014 | − | 0.197462i | ||||
\(486\) | 10.7931 | + | 18.8912i | 0.489585 | + | 0.856923i | ||||
\(487\) | −30.6998 | − | 17.7246i | −1.39114 | − | 0.803177i | −0.397701 | − | 0.917515i | \(-0.630192\pi\) |
−0.993442 | + | 0.114338i | \(0.963525\pi\) | |||||||
\(488\) | −31.5861 | + | 18.2363i | −1.42984 | + | 0.825516i | ||||
\(489\) | −12.0602 | + | 27.0217i | −0.545380 | + | 1.22196i | ||||
\(490\) | −1.88112 | + | 5.66859i | −0.0849804 | + | 0.256081i | ||||
\(491\) | 10.2320i | 0.461763i | 0.972982 | + | 0.230882i | \(0.0741610\pi\) | ||||
−0.972982 | + | 0.230882i | \(0.925839\pi\) | |||||||
\(492\) | 0.344474 | − | 0.0358903i | 0.0155301 | − | 0.00161806i | ||||
\(493\) | −35.0309 | − | 20.2251i | −1.57771 | − | 0.910893i | ||||
\(494\) | 1.27211 | + | 0.0884009i | 0.0572350 | + | 0.00397734i | ||||
\(495\) | 9.23571 | + | 3.01937i | 0.415115 | + | 0.135711i | ||||
\(496\) | 0.885281 | 0.0397503 | ||||||||
\(497\) | 13.3689 | + | 10.8953i | 0.599676 | + | 0.488722i | ||||
\(498\) | 13.9673 | − | 31.2947i | 0.625889 | − | 1.40235i | ||||
\(499\) | 32.2543 | − | 18.6220i | 1.44390 | − | 0.833637i | 0.445794 | − | 0.895135i | \(-0.352921\pi\) |
0.998107 | + | 0.0614985i | \(0.0195879\pi\) | |||||||
\(500\) | −0.264890 | − | 0.152934i | −0.0118462 | − | 0.00683943i | ||||
\(501\) | 3.18009 | + | 4.38536i | 0.142076 | + | 0.195924i | ||||
\(502\) | 16.3735 | + | 28.3597i | 0.730785 | + | 1.26576i | ||||
\(503\) | 5.85048 | 0.260860 | 0.130430 | − | 0.991458i | \(-0.458364\pi\) | ||||
0.130430 | + | 0.991458i | \(0.458364\pi\) | |||||||
\(504\) | −19.1257 | + | 12.2865i | −0.851925 | + | 0.547283i | ||||
\(505\) | − | 0.251891i | − | 0.0112090i | ||||||
\(506\) | −27.5369 | + | 15.8984i | −1.22417 | + | 0.706772i | ||||
\(507\) | −0.786697 | + | 22.5029i | −0.0349384 | + | 0.999389i | ||||
\(508\) | 0.0379205 | − | 0.0656803i | 0.00168245 | − | 0.00291409i | ||||
\(509\) | 21.2894 | − | 12.2915i | 0.943638 | − | 0.544810i | 0.0525391 | − | 0.998619i | \(-0.483269\pi\) |
0.891099 | + | 0.453809i | \(0.149935\pi\) | |||||||
\(510\) | −3.85268 | + | 8.63222i | −0.170600 | + | 0.382241i | ||||
\(511\) | −30.1252 | + | 11.4560i | −1.33266 | + | 0.506784i | ||||
\(512\) | −23.4453 | −1.03615 | ||||||||
\(513\) | −0.883695 | + | 0.976097i | −0.0390161 | + | 0.0430957i | ||||
\(514\) | −10.3998 | + | 18.0130i | −0.458715 | + | 0.794518i | ||||
\(515\) | 4.01948 | − | 6.96195i | 0.177120 | − | 0.306780i | ||||
\(516\) | 0.0110417 | + | 0.105978i | 0.000486085 | + | 0.00466543i | ||||
\(517\) | 10.1115i | 0.444702i | ||||||||
\(518\) | −9.15319 | − | 24.0696i | −0.402168 | − | 1.05756i | ||||
\(519\) | −4.21259 | − | 1.88014i | −0.184912 | − | 0.0825289i | ||||
\(520\) | −5.23489 | − | 3.52768i | −0.229565 | − | 0.154699i | ||||
\(521\) | −18.0672 | + | 31.2933i | −0.791538 | + | 1.37098i | 0.133477 | + | 0.991052i | \(0.457386\pi\) |
−0.925015 | + | 0.379931i | \(0.875948\pi\) | |||||||
\(522\) | −5.45829 | − | 25.9099i | −0.238903 | − | 1.13404i | ||||
\(523\) | 12.8468 | − | 7.41710i | 0.561751 | − | 0.324327i | −0.192097 | − | 0.981376i | \(-0.561529\pi\) |
0.753848 | + | 0.657049i | \(0.228195\pi\) | |||||||
\(524\) | 0.244040 | 0.0106609 | ||||||||
\(525\) | −11.6182 | + | 17.7334i | −0.507058 | + | 0.773948i | ||||
\(526\) | − | 25.9791i | − | 1.13274i | ||||||
\(527\) | 0.727232 | + | 1.25960i | 0.0316787 | + | 0.0548691i | ||||
\(528\) | 28.9241 | − | 20.9746i | 1.25876 | − | 0.912803i | ||||
\(529\) | −2.25563 | + | 3.90686i | −0.0980707 | + | 0.169863i | ||||
\(530\) | −1.26202 | − | 2.18588i | −0.0548185 | − | 0.0949485i | ||||
\(531\) | 7.51746 | − | 6.74414i | 0.326230 | − | 0.292671i | ||||
\(532\) | −0.0270123 | − | 0.0220144i | −0.00117113 | − | 0.000954444i | ||||
\(533\) | 12.4644 | − | 6.08596i | 0.539892 | − | 0.263612i | ||||
\(534\) | −16.9316 | + | 1.76409i | −0.732703 | + | 0.0763395i | ||||
\(535\) | −1.88939 | + | 3.27251i | −0.0816853 | + | 0.141483i | ||||
\(536\) | −26.6782 | − | 15.4027i | −1.15232 | − | 0.665295i | ||||
\(537\) | −45.5037 | + | 4.74097i | −1.96363 | + | 0.204588i | ||||
\(538\) | −22.3632 | −0.964145 | ||||||||
\(539\) | 35.2003 | + | 11.6812i | 1.51618 | + | 0.503146i | ||||
\(540\) | 0.157161 | − | 0.0505932i | 0.00676315 | − | 0.00217719i | ||||
\(541\) | 32.9004 | − | 18.9950i | 1.41450 | − | 0.816661i | 0.418690 | − | 0.908129i | \(-0.362490\pi\) |
0.995808 | + | 0.0914689i | \(0.0291562\pi\) | |||||||
\(542\) | −7.39972 | + | 12.8167i | −0.317845 | + | 0.550524i | ||||
\(543\) | −7.24979 | − | 9.99750i | −0.311118 | − | 0.429034i | ||||
\(544\) | −0.940132 | − | 1.62836i | −0.0403078 | − | 0.0698152i | ||||
\(545\) | 9.36186 | 0.401018 | ||||||||
\(546\) | −13.9447 | + | 18.3673i | −0.596777 | + | 0.786046i | ||||
\(547\) | 16.9980 | 0.726783 | 0.363391 | − | 0.931637i | \(-0.381619\pi\) | ||||
0.363391 | + | 0.931637i | \(0.381619\pi\) | |||||||
\(548\) | −0.413238 | − | 0.715750i | −0.0176527 | − | 0.0305753i | ||||
\(549\) | −7.87552 | − | 37.3842i | −0.336119 | − | 1.59552i | ||||
\(550\) | 17.1054 | − | 29.6275i | 0.729378 | − | 1.26332i | ||||
\(551\) | 1.38774 | − | 0.801215i | 0.0591199 | − | 0.0341329i | ||||
\(552\) | −8.69320 | + | 19.4777i | −0.370007 | + | 0.829028i | ||||
\(553\) | 3.50789 | − | 21.7083i | 0.149171 | − | 0.923129i | ||||
\(554\) | 24.1784 | 1.02724 | ||||||||
\(555\) | 0.765166 | + | 7.34403i | 0.0324795 | + | 0.311737i | ||||
\(556\) | 0.451666 | + | 0.260770i | 0.0191549 | + | 0.0110591i | ||||
\(557\) | −19.6161 | + | 33.9761i | −0.831162 | + | 1.43961i | 0.0659552 | + | 0.997823i | \(0.478991\pi\) |
−0.897117 | + | 0.441792i | \(0.854343\pi\) | |||||||
\(558\) | −0.295850 | + | 0.904954i | −0.0125243 | + | 0.0383098i | ||||
\(559\) | 1.87236 | + | 3.83468i | 0.0791923 | + | 0.162190i | ||||
\(560\) | −2.23826 | − | 5.88584i | −0.0945838 | − | 0.248722i | ||||
\(561\) | 53.6036 | + | 23.9240i | 2.26314 | + | 1.01007i | ||||
\(562\) | −4.14528 | − | 7.17984i | −0.174858 | − | 0.302863i | ||||
\(563\) | −21.6399 | + | 37.4814i | −0.912013 | + | 1.57965i | −0.100798 | + | 0.994907i | \(0.532139\pi\) |
−0.811216 | + | 0.584747i | \(0.801194\pi\) | |||||||
\(564\) | 0.100862 | + | 0.139090i | 0.00424706 | + | 0.00585673i | ||||
\(565\) | −1.87920 | − | 3.25487i | −0.0790585 | − | 0.136933i | ||||
\(566\) | 31.0305i | 1.30431i | ||||||||
\(567\) | −6.00754 | − | 23.0415i | −0.252293 | − | 0.967651i | ||||
\(568\) | −18.6688 | −0.783326 | ||||||||
\(569\) | −13.6713 | + | 7.89310i | −0.573129 | + | 0.330896i | −0.758398 | − | 0.651792i | \(-0.774018\pi\) |
0.185269 | + | 0.982688i | \(0.440684\pi\) | |||||||
\(570\) | −0.219838 | − | 0.303158i | −0.00920800 | − | 0.0126979i | ||||
\(571\) | −6.44955 | + | 11.1709i | −0.269905 | + | 0.467489i | −0.968837 | − | 0.247699i | \(-0.920326\pi\) |
0.698932 | + | 0.715188i | \(0.253659\pi\) | |||||||
\(572\) | −0.554879 | + | 0.823412i | −0.0232007 | + | 0.0344286i | ||||
\(573\) | 1.65209 | − | 3.70164i | 0.0690172 | − | 0.154638i | ||||
\(574\) | 14.0242 | + | 2.26621i | 0.585360 | + | 0.0945897i | ||||
\(575\) | 19.8924i | 0.829570i | ||||||||
\(576\) | 7.64134 | − | 23.3735i | 0.318389 | − | 0.973897i | ||||
\(577\) | 3.83077 | − | 6.63508i | 0.159477 | − | 0.276222i | −0.775203 | − | 0.631712i | \(-0.782353\pi\) |
0.934680 | + | 0.355490i | \(0.115686\pi\) | |||||||
\(578\) | −16.6897 | + | 28.9074i | −0.694199 | + | 1.20239i | ||||
\(579\) | −20.4614 | + | 2.13184i | −0.850345 | + | 0.0885964i | ||||
\(580\) | −0.200933 | −0.00834331 | ||||||||
\(581\) | −23.6947 | + | 29.0741i | −0.983023 | + | 1.20620i | ||||
\(582\) | 31.4073 | + | 14.0175i | 1.30188 | + | 0.581046i | ||||
\(583\) | −13.5737 | + | 7.83676i | −0.562164 | + | 0.324566i | ||||
\(584\) | 17.4442 | − | 30.2142i | 0.721845 | − | 1.25027i | ||||
\(585\) | 5.21624 | − | 4.06381i | 0.215665 | − | 0.168018i | ||||
\(586\) | −8.21518 | + | 4.74303i | −0.339366 | + | 0.195933i | ||||
\(587\) | 8.55584i | 0.353137i | 0.984288 | + | 0.176569i | \(0.0564998\pi\) | ||||
−0.984288 | + | 0.176569i | \(0.943500\pi\) | |||||||
\(588\) | 0.600722 | − | 0.190441i | 0.0247734 | − | 0.00785366i | ||||
\(589\) | −0.0576184 | −0.00237412 | ||||||||
\(590\) | 1.43616 | + | 2.48750i | 0.0591257 | + | 0.102409i | ||||
\(591\) | −24.7799 | + | 17.9694i | −1.01931 | + | 0.739160i | ||||
\(592\) | 23.5129 | + | 13.5752i | 0.966375 | + | 0.557937i | ||||
\(593\) | 34.6087 | − | 19.9814i | 1.42121 | − | 0.820536i | 0.424807 | − | 0.905284i | \(-0.360342\pi\) |
0.996402 | + | 0.0847480i | \(0.0270085\pi\) | |||||||
\(594\) | 11.7746 | + | 36.5764i | 0.483119 | + | 1.50075i | ||||
\(595\) | 6.53586 | − | 8.01970i | 0.267944 | − | 0.328775i | ||||
\(596\) | −0.588614 | −0.0241106 | ||||||||
\(597\) | −2.75690 | + | 0.287238i | −0.112832 | + | 0.0117559i | ||||
\(598\) | −1.50006 | + | 21.5862i | −0.0613419 | + | 0.882726i | ||||
\(599\) | 18.1081 | + | 10.4547i | 0.739877 | + | 0.427168i | 0.822024 | − | 0.569452i | \(-0.192845\pi\) |
−0.0821478 | + | 0.996620i | \(0.526178\pi\) | |||||||
\(600\) | −2.37815 | − | 22.8254i | −0.0970877 | − | 0.931844i | ||||
\(601\) | 35.0469i | 1.42959i | 0.699332 | + | 0.714797i | \(0.253481\pi\) | ||||
−0.699332 | + | 0.714797i | \(0.746519\pi\) | |||||||
\(602\) | −0.697203 | + | 4.31458i | −0.0284159 | + | 0.175849i | ||||
\(603\) | 24.0192 | − | 21.5483i | 0.978137 | − | 0.877516i | ||||
\(604\) | 0.129008 | − | 0.0744831i | 0.00524928 | − | 0.00303067i | ||||
\(605\) | 9.03797 | + | 5.21808i | 0.367446 | + | 0.212145i | ||||
\(606\) | 0.806396 | − | 0.584766i | 0.0327576 | − | 0.0237545i | ||||
\(607\) | 11.1151 | − | 6.41731i | 0.451148 | − | 0.260470i | −0.257167 | − | 0.966367i | \(-0.582789\pi\) |
0.708315 | + | 0.705897i | \(0.249456\pi\) | |||||||
\(608\) | 0.0744864 | 0.00302082 | ||||||||
\(609\) | −1.63337 | + | 28.9331i | −0.0661875 | + | 1.17243i | ||||
\(610\) | 10.8657 | 0.439940 | ||||||||
\(611\) | 5.70628 | + | 3.84534i | 0.230851 | + | 0.155566i | ||||
\(612\) | 0.975994 | − | 0.205607i | 0.0394522 | − | 0.00831117i | ||||
\(613\) | 7.75091 | + | 4.47499i | 0.313056 | + | 0.180743i | 0.648293 | − | 0.761391i | \(-0.275483\pi\) |
−0.335237 | + | 0.942134i | \(0.608816\pi\) | |||||||
\(614\) | 17.5696 | + | 30.4314i | 0.709051 | + | 1.22811i | ||||
\(615\) | −3.71973 | − | 1.66017i | −0.149994 | − | 0.0669444i | ||||
\(616\) | −37.5252 | + | 14.2701i | −1.51193 | + | 0.574957i | ||||
\(617\) | −32.7471 | −1.31835 | −0.659173 | − | 0.751991i | \(-0.729094\pi\) | ||||
−0.659173 | + | 0.751991i | \(0.729094\pi\) | |||||||
\(618\) | 31.6190 | − | 3.29434i | 1.27190 | − | 0.132518i | ||||
\(619\) | 2.42018 | − | 4.19187i | 0.0972751 | − | 0.168485i | −0.813281 | − | 0.581871i | \(-0.802321\pi\) |
0.910556 | + | 0.413386i | \(0.135654\pi\) | |||||||
\(620\) | 0.00625698 | + | 0.00361247i | 0.000251286 | + | 0.000145080i | ||||
\(621\) | −16.5632 | − | 14.9952i | −0.664658 | − | 0.601738i | ||||
\(622\) | −12.6731 | −0.508145 | ||||||||
\(623\) | 18.3923 | + | 2.97207i | 0.736874 | + | 0.119073i | ||||
\(624\) | −0.837068 | − | 24.2995i | −0.0335096 | − | 0.972759i | ||||
\(625\) | −9.76703 | − | 16.9170i | −0.390681 | − | 0.676680i | ||||
\(626\) | −2.75858 | − | 1.59267i | −0.110255 | − | 0.0636559i | ||||
\(627\) | −1.88252 | + | 1.36513i | −0.0751807 | + | 0.0545180i | ||||
\(628\) | 0.499427 | − | 0.288344i | 0.0199293 | − | 0.0115062i | ||||
\(629\) | 44.6064i | 1.77857i | ||||||||
\(630\) | 6.76463 | − | 0.321025i | 0.269509 | − | 0.0127899i | ||||
\(631\) | 28.4404i | 1.13219i | 0.824339 | + | 0.566097i | \(0.191547\pi\) | ||||
−0.824339 | + | 0.566097i | \(0.808453\pi\) | |||||||
\(632\) | 11.9018 | + | 20.6145i | 0.473428 | + | 0.820002i | ||||
\(633\) | 1.48004 | − | 1.07327i | 0.0588263 | − | 0.0426585i | ||||
\(634\) | 0.131130 | − | 0.227124i | 0.00520785 | − | 0.00902026i | ||||
\(635\) | −0.772484 | + | 0.445994i | −0.0306551 | + | 0.0176987i | ||||
\(636\) | −0.108542 | + | 0.243197i | −0.00430399 | + | 0.00964340i | ||||
\(637\) | 19.9786 | − | 15.4225i | 0.791582 | − | 0.611063i | ||||
\(638\) | − | 46.7635i | − | 1.85139i | ||||||
\(639\) | 6.07665 | − | 18.5874i | 0.240388 | − | 0.735305i | ||||
\(640\) | 5.74560 | + | 3.31722i | 0.227115 | + | 0.131125i | ||||
\(641\) | 22.1719 | + | 12.8009i | 0.875736 | + | 0.505606i | 0.869250 | − | 0.494373i | \(-0.164602\pi\) |
0.00648579 | + | 0.999979i | \(0.497935\pi\) | |||||||
\(642\) | −14.8627 | + | 1.54853i | −0.586585 | + | 0.0611156i | ||||
\(643\) | 15.5299 | 0.612438 | 0.306219 | − | 0.951961i | \(-0.400936\pi\) | ||||
0.306219 | + | 0.951961i | \(0.400936\pi\) | |||||||
\(644\) | 0.373557 | − | 0.458366i | 0.0147202 | − | 0.0180621i | ||||
\(645\) | 0.510753 | − | 1.14438i | 0.0201109 | − | 0.0450599i | ||||
\(646\) | −1.13113 | − | 1.95918i | −0.0445039 | − | 0.0770830i | ||||
\(647\) | 4.96931 | − | 8.60711i | 0.195364 | − | 0.338380i | −0.751656 | − | 0.659556i | \(-0.770745\pi\) |
0.947020 | + | 0.321175i | \(0.104078\pi\) | |||||||
\(648\) | 20.7980 | + | 15.2261i | 0.817024 | + | 0.598136i | ||||
\(649\) | 15.4466 | − | 8.91812i | 0.606334 | − | 0.350067i | ||||
\(650\) | −10.2148 | − | 20.9204i | −0.400657 | − | 0.820566i | ||||
\(651\) | 0.571034 | − | 0.871599i | 0.0223806 | − | 0.0341607i | ||||
\(652\) | 0.887990i | 0.0347764i | ||||||||
\(653\) | −33.6494 | + | 19.4275i | −1.31680 | + | 0.760256i | −0.983213 | − | 0.182462i | \(-0.941593\pi\) |
−0.333590 | + | 0.942718i | \(0.608260\pi\) | |||||||
\(654\) | 21.7336 | + | 29.9707i | 0.849850 | + | 1.17195i | ||||
\(655\) | −2.48569 | − | 1.43511i | −0.0971238 | − | 0.0560744i | ||||
\(656\) | −12.9713 | + | 7.48898i | −0.506444 | + | 0.292396i | ||||
\(657\) | 24.4044 | + | 27.2027i | 0.952105 | + | 1.06128i | ||||
\(658\) | 2.50495 | + | 6.58714i | 0.0976533 | + | 0.256794i | ||||
\(659\) | − | 17.6554i | − | 0.687756i | −0.939014 | − | 0.343878i | \(-0.888259\pi\) | ||
0.939014 | − | 0.343878i | \(-0.111741\pi\) | |||||||
\(660\) | 0.290019 | − | 0.0302167i | 0.0112890 | − | 0.00117618i | ||||
\(661\) | 19.0185 | − | 32.9410i | 0.739733 | − | 1.28126i | −0.212882 | − | 0.977078i | \(-0.568285\pi\) |
0.952615 | − | 0.304178i | \(-0.0983816\pi\) | |||||||
\(662\) | −25.6634 | − | 14.8168i | −0.997436 | − | 0.575870i | ||||
\(663\) | 33.8864 | − | 21.1523i | 1.31604 | − | 0.821488i | ||||
\(664\) | − | 40.6002i | − | 1.57559i | ||||||
\(665\) | 0.145677 | + | 0.383079i | 0.00564911 | + | 0.0148552i | ||||
\(666\) | −21.7346 | + | 19.4988i | −0.842199 | + | 0.755562i | ||||
\(667\) | 13.5957 | + | 23.5484i | 0.526426 | + | 0.911796i | ||||
\(668\) | 0.140781 | + | 0.0812798i | 0.00544697 | + | 0.00314481i | ||||
\(669\) | 4.61920 | − | 3.34966i | 0.178589 | − | 0.129505i | ||||
\(670\) | 4.58870 | + | 7.94786i | 0.177277 | + | 0.307052i | ||||
\(671\) | − | 67.4730i | − | 2.60477i | ||||||
\(672\) | −0.738208 | + | 1.12676i | −0.0284770 | + | 0.0434659i | ||||
\(673\) | 29.5036 | 1.13728 | 0.568639 | − | 0.822587i | \(-0.307470\pi\) | ||||
0.568639 | + | 0.822587i | \(0.307470\pi\) | |||||||
\(674\) | −14.8030 | − | 25.6396i | −0.570191 | − | 0.987599i | ||||
\(675\) | 23.5000 | + | 5.06183i | 0.904514 | + | 0.194830i | ||||
\(676\) | 0.253664 | + | 0.626278i | 0.00975633 | + | 0.0240876i | ||||
\(677\) | −16.7042 | − | 28.9325i | −0.641994 | − | 1.11197i | −0.984987 | − | 0.172628i | \(-0.944774\pi\) |
0.342993 | − | 0.939338i | \(-0.388559\pi\) | |||||||
\(678\) | 6.05746 | − | 13.5722i | 0.232635 | − | 0.521237i | ||||
\(679\) | −29.1787 | − | 23.7800i | −1.11978 | − | 0.912592i | ||||
\(680\) | 11.1990i | 0.429462i | ||||||||
\(681\) | 15.2122 | − | 1.58494i | 0.582933 | − | 0.0607351i | ||||
\(682\) | −0.840735 | + | 1.45620i | −0.0321934 | + | 0.0557606i | ||||
\(683\) | −4.11356 | + | 7.12490i | −0.157401 | + | 0.272627i | −0.933931 | − | 0.357454i | \(-0.883645\pi\) |
0.776530 | + | 0.630081i | \(0.216978\pi\) | |||||||
\(684\) | −0.0122781 | + | 0.0375564i | −0.000469464 | + | 0.00143601i | ||||
\(685\) | 9.72043i | 0.371399i | ||||||||
\(686\) | 25.8252 | − | 1.11054i | 0.986009 | − | 0.0424006i | ||||
\(687\) | 28.9742 | + | 12.9316i | 1.10544 | + | 0.493371i | ||||
\(688\) | −2.30400 | − | 3.99064i | −0.0878391 | − | 0.152142i | ||||
\(689\) | −0.739417 | + | 10.6404i | −0.0281696 | + | 0.405367i | ||||
\(690\) | 5.14423 | − | 3.73039i | 0.195837 | − | 0.142013i | ||||
\(691\) | −17.2978 | − | 29.9606i | −0.658039 | − | 1.13976i | −0.981123 | − | 0.193386i | \(-0.938053\pi\) |
0.323084 | − | 0.946370i | \(-0.395280\pi\) | |||||||
\(692\) | −0.138434 | −0.00526249 | ||||||||
\(693\) | −1.99347 | − | 42.0064i | −0.0757257 | − | 1.59569i | ||||
\(694\) | − | 10.1341i | − | 0.384685i | ||||||
\(695\) | −3.06699 | − | 5.31218i | −0.116337 | − | 0.201502i | ||||
\(696\) | −18.4155 | − | 25.3951i | −0.698037 | − | 0.962598i | ||||
\(697\) | −21.3111 | − | 12.3039i | −0.807214 | − | 0.466045i | ||||
\(698\) | −6.23432 | − | 10.7982i | −0.235972 | − | 0.408716i | ||||
\(699\) | 0.943313 | − | 2.11356i | 0.0356794 | − | 0.0799423i | ||||
\(700\) | −0.101488 | + | 0.628052i | −0.00383590 | + | 0.0237381i | ||||
\(701\) | 4.51184i | 0.170410i | 0.996363 | + | 0.0852050i | \(0.0271545\pi\) | ||||
−0.996363 | + | 0.0852050i | \(0.972845\pi\) | |||||||
\(702\) | 25.1192 | + | 7.26494i | 0.948065 | + | 0.274198i | ||||
\(703\) | −1.53033 | − | 0.883539i | −0.0577176 | − | 0.0333233i | ||||
\(704\) | 21.7148 | − | 37.6112i | 0.818409 | − | 1.41753i | ||||
\(705\) | −0.209403 | − | 2.00984i | −0.00788657 | − | 0.0756950i | ||||
\(706\) | − | 19.8494i | − | 0.747040i | ||||||
\(707\) | −1.01898 | + | 0.387499i | −0.0383228 | + | 0.0145734i | ||||
\(708\) | 0.123520 | − | 0.276755i | 0.00464215 | − | 0.0104011i | ||||
\(709\) | −41.6758 | + | 24.0615i | −1.56517 | + | 0.903649i | −0.568446 | + | 0.822720i | \(0.692455\pi\) |
−0.996720 | + | 0.0809288i | \(0.974211\pi\) | |||||||
\(710\) | 4.81660 | + | 2.78086i | 0.180764 | + | 0.104364i | ||||
\(711\) | −24.3986 | + | 5.13992i | −0.915020 | + | 0.192762i | ||||
\(712\) | −17.4657 | + | 10.0838i | −0.654554 | + | 0.377907i | ||||
\(713\) | − | 0.977714i | − | 0.0366157i | ||||||
\(714\) | 40.8470 | + | 2.30595i | 1.52866 | + | 0.0862980i | ||||
\(715\) | 10.4940 | − | 5.12388i | 0.392452 | − | 0.191622i | ||||
\(716\) | −1.18897 | + | 0.686453i | −0.0444339 | + | 0.0256540i | ||||
\(717\) | −10.8832 | + | 7.89203i | −0.406439 | + | 0.294733i | ||||
\(718\) | −14.8131 | + | 25.6570i | −0.552818 | + | 0.957509i | ||||
\(719\) | 1.88336 | + | 3.26208i | 0.0702376 | + | 0.121655i | 0.899005 | − | 0.437938i | \(-0.144291\pi\) |
−0.828768 | + | 0.559593i | \(0.810958\pi\) | |||||||
\(720\) | −5.31484 | + | 4.76810i | −0.198072 | + | 0.177697i | ||||
\(721\) | −34.3468 | − | 5.55019i | −1.27914 | − | 0.206700i | ||||
\(722\) | −26.4290 | −0.983585 | ||||||||
\(723\) | 0.185036 | + | 1.77597i | 0.00688156 | + | 0.0660489i | ||||
\(724\) | −0.320944 | − | 0.185297i | −0.0119278 | − | 0.00688651i | ||||
\(725\) | −25.3361 | − | 14.6278i | −0.940960 | − | 0.543263i | ||||
\(726\) | 4.27670 | + | 41.0476i | 0.158723 | + | 1.52342i | ||||
\(727\) | 16.5111i | 0.612364i | 0.951973 | + | 0.306182i | \(0.0990517\pi\) | ||||
−0.951973 | + | 0.306182i | \(0.900948\pi\) | |||||||
\(728\) | −6.21751 | + | 26.6037i | −0.230436 | + | 0.985999i | ||||
\(729\) | −21.9294 | + | 15.7513i | −0.812199 | + | 0.583381i | ||||
\(730\) | −9.00127 | + | 5.19689i | −0.333152 | + | 0.192345i | ||||
\(731\) | 3.78533 | − | 6.55639i | 0.140006 | − | 0.242497i | ||||
\(732\) | −0.673045 | − | 0.928133i | −0.0248765 | − | 0.0343048i | ||||
\(733\) | 10.6248 | + | 18.4026i | 0.392435 | + | 0.679717i | 0.992770 | − | 0.120031i | \(-0.0382996\pi\) |
−0.600335 | + | 0.799748i | \(0.704966\pi\) | |||||||
\(734\) | 13.7707i | 0.508285i | ||||||||
\(735\) | −7.23862 | − | 1.59288i | −0.267001 | − | 0.0587543i | ||||
\(736\) | 1.26395i | 0.0465896i | ||||||||
\(737\) | 49.3539 | − | 28.4945i | 1.81797 | − | 1.04961i | ||||
\(738\) | −3.32055 | − | 15.7623i | −0.122231 | − | 0.580218i | ||||
\(739\) | 15.3472 | + | 8.86071i | 0.564556 | + | 0.325946i | 0.754972 | − | 0.655757i | \(-0.227650\pi\) |
−0.190416 | + | 0.981703i | \(0.560984\pi\) | |||||||
\(740\) | 0.110790 | + | 0.191893i | 0.00407271 | + | 0.00705413i | ||||
\(741\) | 0.0544805 | + | 1.58153i | 0.00200139 | + | 0.0580990i | ||||
\(742\) | −6.90117 | + | 8.46794i | −0.253350 | + | 0.310868i | ||||
\(743\) | −4.99199 | −0.183138 | −0.0915692 | − | 0.995799i | \(-0.529188\pi\) | ||||
−0.0915692 | + | 0.995799i | \(0.529188\pi\) | |||||||
\(744\) | 0.116887 | + | 1.12187i | 0.00428527 | + | 0.0411299i | ||||
\(745\) | 5.99537 | + | 3.46143i | 0.219653 | + | 0.126817i | ||||
\(746\) | 4.76296 | − | 8.24969i | 0.174384 | − | 0.302043i | ||||
\(747\) | 40.4231 | + | 13.2153i | 1.47901 | + | 0.483521i | ||||
\(748\) | 1.76152 | 0.0644077 | ||||||||
\(749\) | 16.1450 | + | 2.60890i | 0.589924 | + | 0.0953273i | ||||
\(750\) | −5.79799 | + | 12.9908i | −0.211713 | + | 0.474358i | ||||
\(751\) | 15.6605 | + | 27.1247i | 0.571459 | + | 0.989796i | 0.996416 | + | 0.0845825i | \(0.0269557\pi\) |
−0.424958 | + | 0.905213i | \(0.639711\pi\) | |||||||
\(752\) | −6.43478 | − | 3.71512i | −0.234652 | − | 0.135477i | ||||
\(753\) | −32.8986 | + | 23.8568i | −1.19889 | + | 0.869389i | ||||
\(754\) | −26.3904 | − | 17.7839i | −0.961082 | − | 0.647652i | ||||
\(755\) | −1.75203 | −0.0637630 | ||||||||
\(756\) | −0.446437 | − | 0.557940i | −0.0162367 | − | 0.0202921i | ||||
\(757\) | 6.10098 | 0.221744 | 0.110872 | − | 0.993835i | \(-0.464636\pi\) | ||||
0.110872 | + | 0.993835i | \(0.464636\pi\) | |||||||
\(758\) | −11.6672 | + | 6.73609i | −0.423774 | + | 0.244666i | ||||
\(759\) | −23.1646 | − | 31.9441i | −0.840822 | − | 1.15950i | ||||
\(760\) | −0.384210 | − | 0.221824i | −0.0139368 | − | 0.00804639i | ||||
\(761\) | −46.9258 | + | 27.0926i | −1.70106 | + | 0.982106i | −0.756366 | + | 0.654149i | \(0.773027\pi\) |
−0.944693 | + | 0.327957i | \(0.893640\pi\) | |||||||
\(762\) | −3.22111 | − | 1.43763i | −0.116689 | − | 0.0520798i | ||||
\(763\) | −14.4019 | − | 37.8719i | −0.521383 | − | 1.37105i | ||||
\(764\) | − | 0.121644i | − | 0.00440091i | ||||||
\(765\) | −11.1502 | − | 3.64525i | −0.403135 | − | 0.131794i | ||||
\(766\) | 0.746618 | + | 0.431060i | 0.0269764 | + | 0.0155748i | ||||
\(767\) | 0.841446 | − | 12.1086i | 0.0303829 | − | 0.437217i | ||||
\(768\) | −0.223750 | − | 2.14754i | −0.00807388 | − | 0.0774928i | ||||
\(769\) | −17.5752 | −0.633777 | −0.316888 | − | 0.948463i | \(-0.602638\pi\) | ||||
−0.316888 | + | 0.948463i | \(0.602638\pi\) | |||||||
\(770\) | 11.8072 | + | 1.90796i | 0.425503 | + | 0.0687581i | ||||
\(771\) | −23.5707 | − | 10.5200i | −0.848879 | − | 0.378867i | ||||
\(772\) | −0.534638 | + | 0.308673i | −0.0192420 | + | 0.0111094i | ||||
\(773\) | −24.2049 | − | 13.9747i | −0.870589 | − | 0.502635i | −0.00304507 | − | 0.999995i | \(-0.500969\pi\) |
−0.867544 | + | 0.497361i | \(0.834303\pi\) | |||||||
\(774\) | 4.84929 | − | 1.02157i | 0.174304 | − | 0.0367197i | ||||
\(775\) | 0.525971 | + | 0.911008i | 0.0188934 | + | 0.0327244i | ||||
\(776\) | 40.7463 | 1.46271 | ||||||||
\(777\) | 28.5320 | − | 14.3931i | 1.02358 | − | 0.516349i | ||||
\(778\) | 9.74338i | 0.349317i | ||||||||
\(779\) | 0.844235 | − | 0.487419i | 0.0302479 | − | 0.0174636i | ||||
\(780\) | 0.0932402 | − | 0.175160i | 0.00333853 | − | 0.00627172i | ||||
\(781\) | 17.2683 | − | 29.9097i | 0.617910 | − | 1.07025i | ||||
\(782\) | 33.2450 | − | 19.1940i | 1.18884 | − | 0.686376i | ||||
\(783\) | 31.2785 | − | 10.0691i | 1.11780 | − | 0.359842i | ||||
\(784\) | −20.3669 | + | 18.1090i | −0.727390 | + | 0.646751i | ||||
\(785\) | −6.78260 | −0.242081 | ||||||||
\(786\) | −1.17621 | − | 11.2892i | −0.0419540 | − | 0.402673i | ||||
\(787\) | −16.8958 | + | 29.2644i | −0.602271 | + | 1.04316i | 0.390205 | + | 0.920728i | \(0.372404\pi\) |
−0.992476 | + | 0.122436i | \(0.960929\pi\) | |||||||
\(788\) | −0.459278 | + | 0.795493i | −0.0163611 | + | 0.0283382i | ||||
\(789\) | 32.0659 | − | 3.34091i | 1.14158 | − | 0.118940i | ||||
\(790\) | − | 7.09146i | − | 0.252303i | ||||||
\(791\) | −10.2762 | + | 12.6091i | −0.365378 | + | 0.448329i | ||||
\(792\) | 30.3991 | + | 33.8848i | 1.08018 | + | 1.20404i | ||||
\(793\) | −38.0775 | − | 25.6596i | −1.35217 | − | 0.911200i | ||||
\(794\) | −16.3905 | + | 28.3893i | −0.581679 | + | 1.00750i | ||||
\(795\) | 2.53572 | − | 1.83881i | 0.0899329 | − | 0.0652157i | ||||
\(796\) | −0.0720353 | + | 0.0415896i | −0.00255322 | + | 0.00147410i | ||||
\(797\) | 26.1108 | 0.924891 | 0.462445 | − | 0.886648i | \(-0.346972\pi\) | ||||
0.462445 | + | 0.886648i | \(0.346972\pi\) | |||||||
\(798\) | −0.888186 | + | 1.35568i | −0.0314414 | + | 0.0479907i | ||||
\(799\) | − | 12.2074i | − | 0.431868i | ||||||
\(800\) | −0.679951 | − | 1.17771i | −0.0240399 | − | 0.0416383i | ||||
\(801\) | −4.35481 | − | 20.6718i | −0.153869 | − | 0.730401i | ||||
\(802\) | 4.29314 | − | 7.43593i | 0.151596 | − | 0.262572i | ||||
\(803\) | 32.2712 | + | 55.8953i | 1.13882 | + | 1.97250i | ||||
\(804\) | 0.394660 | − | 0.884266i | 0.0139186 | − | 0.0311857i | ||||
\(805\) | −6.50038 | + | 2.47196i | −0.229108 | + | 0.0871252i | ||||
\(806\) | 0.502059 | + | 1.02824i | 0.0176843 | + | 0.0362183i | ||||
\(807\) | −2.87590 | − | 27.6028i | −0.101236 | − | 0.971663i | ||||
\(808\) | 0.590048 | − | 1.02199i | 0.0207578 | − | 0.0359536i | ||||
\(809\) | −12.7232 | − | 7.34575i | −0.447325 | − | 0.258263i | 0.259375 | − | 0.965777i | \(-0.416483\pi\) |
−0.706700 | + | 0.707514i | \(0.749817\pi\) | |||||||
\(810\) | −3.09790 | − | 7.02639i | −0.108849 | − | 0.246882i | ||||
\(811\) | 2.00604 | 0.0704415 | 0.0352208 | − | 0.999380i | \(-0.488787\pi\) | ||||
0.0352208 | + | 0.999380i | \(0.488787\pi\) | |||||||
\(812\) | 0.309107 | + | 0.812843i | 0.0108475 | + | 0.0285252i | ||||
\(813\) | −16.7712 | − | 7.48522i | −0.588191 | − | 0.262518i | ||||
\(814\) | −44.6596 | + | 25.7842i | −1.56532 | + | 0.903736i | ||||
\(815\) | 5.22196 | − | 9.04469i | 0.182917 | − | 0.316822i | ||||
\(816\) | −34.9197 | + | 25.3224i | −1.22244 | + | 0.886461i | ||||
\(817\) | 0.149955 | + | 0.259730i | 0.00524628 | + | 0.00908682i | ||||
\(818\) | −5.96218 | −0.208463 | ||||||||
\(819\) | −24.4639 | − | 14.8498i | −0.854838 | − | 0.518895i | ||||
\(820\) | −0.122238 | −0.00426873 | ||||||||
\(821\) | 20.6223 | + | 35.7188i | 0.719721 | + | 1.24659i | 0.961110 | + | 0.276166i | \(0.0890638\pi\) |
−0.241389 | + | 0.970429i | \(0.577603\pi\) | |||||||
\(822\) | −31.1187 | + | 22.5660i | −1.08539 | + | 0.787080i | ||||
\(823\) | 20.4970 | − | 35.5019i | 0.714481 | − | 1.23752i | −0.248679 | − | 0.968586i | \(-0.579996\pi\) |
0.963159 | − | 0.268931i | \(-0.0866704\pi\) | |||||||
\(824\) | 32.6163 | − | 18.8310i | 1.13624 | − | 0.656010i | ||||
\(825\) | 38.7688 | + | 17.3031i | 1.34976 | + | 0.602416i | ||||
\(826\) | 7.85343 | − | 9.63639i | 0.273256 | − | 0.335293i | ||||
\(827\) | 9.94898 | 0.345960 | 0.172980 | − | 0.984925i | \(-0.444660\pi\) | ||||
0.172980 | + | 0.984925i | \(0.444660\pi\) | |||||||
\(828\) | −0.637288 | − | 0.208344i | −0.0221473 | − | 0.00724046i | ||||
\(829\) | −20.0570 | − | 11.5799i | −0.696607 | − | 0.402187i | 0.109475 | − | 0.993990i | \(-0.465083\pi\) |
−0.806083 | + | 0.591803i | \(0.798416\pi\) | |||||||
\(830\) | −6.04771 | + | 10.4749i | −0.209919 | + | 0.363591i | ||||
\(831\) | 3.10934 | + | 29.8433i | 0.107862 | + | 1.03525i | ||||
\(832\) | −12.9674 | − | 26.5578i | −0.449563 | − | 0.920728i | ||||
\(833\) | −42.4968 | − | 14.1026i | −1.47243 | − | 0.488626i | ||||
\(834\) | 9.88621 | − | 22.1508i | 0.342331 | − | 0.767019i | ||||
\(835\) | −0.955955 | − | 1.65576i | −0.0330822 | − | 0.0573000i | ||||
\(836\) | −0.0348913 | + | 0.0604335i | −0.00120674 | + | 0.00209014i | ||||
\(837\) | −1.15503 | − | 0.248790i | −0.0399236 | − | 0.00859944i | ||||
\(838\) | 15.3755 | + | 26.6312i | 0.531138 | + | 0.919958i | ||||
\(839\) | − | 14.8268i | − | 0.511879i | −0.966693 | − | 0.255940i | \(-0.917615\pi\) | ||
0.966693 | − | 0.255940i | \(-0.0823848\pi\) | |||||||
\(840\) | 7.16331 | − | 3.61357i | 0.247158 | − | 0.124680i | ||||
\(841\) | −10.9901 | −0.378969 | ||||||||
\(842\) | 2.10628 | − | 1.21606i | 0.0725871 | − | 0.0419082i | ||||
\(843\) | 8.32896 | − | 6.03983i | 0.286865 | − | 0.208023i | ||||
\(844\) | 0.0274315 | − | 0.0475128i | 0.000944233 | − | 0.00163546i | ||||
\(845\) | 1.09920 | − | 7.87072i | 0.0378137 | − | 0.270761i | ||||
\(846\) | 5.94811 | − | 5.33623i | 0.204500 | − | 0.183463i | ||||
\(847\) | 7.20523 | − | 44.5889i | 0.247575 | − | 1.53209i | ||||
\(848\) | − | 11.5174i | − | 0.395510i | ||||||
\(849\) | −38.3009 | + | 3.99052i | −1.31448 | + | 0.136954i | ||||
\(850\) | −20.6512 | + | 35.7689i | −0.708329 | + | 1.22686i | ||||
\(851\) | 14.9926 | − | 25.9679i | 0.513939 | − | 0.890169i | ||||
\(852\) | −0.0608127 | − | 0.583678i | −0.00208341 | − | 0.0199965i | ||||
\(853\) | −6.01677 | −0.206010 | −0.103005 | − | 0.994681i | \(-0.532846\pi\) | ||||
−0.103005 | + | 0.994681i | \(0.532846\pi\) | |||||||
\(854\) | −16.7154 | − | 43.9555i | −0.571988 | − | 1.50413i | ||||
\(855\) | 0.345915 | − | 0.310331i | 0.0118301 | − | 0.0106131i | ||||
\(856\) | −15.3315 | + | 8.85166i | −0.524021 | + | 0.302543i | ||||
\(857\) | 1.00768 | − | 1.74536i | 0.0344219 | − | 0.0596204i | −0.848301 | − | 0.529514i | \(-0.822374\pi\) |
0.882723 | + | 0.469893i | \(0.155708\pi\) | |||||||
\(858\) | 40.7651 | + | 21.6999i | 1.39170 | + | 0.740823i | ||||
\(859\) | −20.5220 | + | 11.8484i | −0.700201 | + | 0.404261i | −0.807422 | − | 0.589974i | \(-0.799138\pi\) |
0.107221 | + | 0.994235i | \(0.465805\pi\) | |||||||
\(860\) | − | 0.0376067i | − | 0.00128238i | ||||||
\(861\) | −0.993661 | + | 17.6015i | −0.0338639 | + | 0.599856i | ||||
\(862\) | −2.88488 | −0.0982593 | ||||||||
\(863\) | −23.6286 | − | 40.9260i | −0.804328 | − | 1.39314i | −0.916744 | − | 0.399476i | \(-0.869192\pi\) |
0.112416 | − | 0.993661i | \(-0.464141\pi\) | |||||||
\(864\) | 1.49317 | + | 0.321625i | 0.0507986 | + | 0.0109419i | ||||
\(865\) | 1.41003 | + | 0.814084i | 0.0479426 | + | 0.0276797i | ||||
\(866\) | −12.5038 | + | 7.21907i | −0.424896 | + | 0.245314i | ||||
\(867\) | −37.8265 | − | 16.8825i | −1.28466 | − | 0.573360i | ||||
\(868\) | 0.00498818 | − | 0.0308688i | 0.000169310 | − | 0.00104776i | ||||
\(869\) | −44.0359 | −1.49382 | ||||||||
\(870\) | 0.968447 | + | 9.29512i | 0.0328334 | + | 0.315134i | ||||
\(871\) | 2.68852 | − | 38.6885i | 0.0910971 | − | 1.31091i | ||||
\(872\) | 37.9837 | + | 21.9299i | 1.28629 | + | 0.742639i | ||||
\(873\) | −13.2628 | + | 40.5686i | −0.448878 | + | 1.37304i | ||||
\(874\) | 1.52073i | 0.0514396i | ||||||||
\(875\) | 9.83598 | − | 12.0690i | 0.332517 | − | 0.408008i | ||||
\(876\) | 1.00147 | + | 0.446969i | 0.0338364 | + | 0.0151017i | ||||
\(877\) | 17.6588 | − | 10.1953i | 0.596297 | − | 0.344272i | −0.171287 | − | 0.985221i | \(-0.554792\pi\) |
0.767583 | + | 0.640949i | \(0.221459\pi\) | |||||||
\(878\) | −10.9500 | − | 6.32197i | −0.369544 | − | 0.213356i | ||||
\(879\) | −6.91077 | − | 9.53000i | −0.233095 | − | 0.321439i | ||||
\(880\) | −10.9208 | + | 6.30510i | −0.368139 | + | 0.212545i | ||||
\(881\) | 25.5787 | 0.861768 | 0.430884 | − | 0.902407i | \(-0.358202\pi\) | ||||
0.430884 | + | 0.902407i | \(0.358202\pi\) | |||||||
\(882\) | −11.7051 | − | 26.8713i | −0.394130 | − | 0.904805i | ||||
\(883\) | −15.6631 | −0.527106 | −0.263553 | − | 0.964645i | \(-0.584894\pi\) | ||||
−0.263553 | + | 0.964645i | \(0.584894\pi\) | |||||||
\(884\) | 0.669899 | − | 0.994095i | 0.0225311 | − | 0.0334350i | ||||
\(885\) | −2.88562 | + | 2.09253i | −0.0969990 | + | 0.0703398i | ||||
\(886\) | −35.7542 | − | 20.6427i | −1.20119 | − | 0.693506i | ||||
\(887\) | −15.7043 | − | 27.2006i | −0.527298 | − | 0.913307i | −0.999494 | − | 0.0318132i | \(-0.989872\pi\) |
0.472196 | − | 0.881494i | \(-0.343461\pi\) | |||||||
\(888\) | −14.0987 | + | 31.5891i | −0.473121 | + | 1.06006i | ||||
\(889\) | 2.99255 | + | 2.43886i | 0.100367 | + | 0.0817967i | ||||
\(890\) | 6.00825 | 0.201397 | ||||||||
\(891\) | −43.6318 | + | 19.2371i | −1.46172 | + | 0.644466i | ||||
\(892\) | 0.0856138 | − | 0.148287i | 0.00286656 | − | 0.00496503i | ||||
\(893\) | 0.418807 | + | 0.241798i | 0.0140148 | + | 0.00809147i | ||||
\(894\) | 2.83696 | + | 27.2291i | 0.0948823 | + | 0.910677i | ||||
\(895\) | 16.1471 | 0.539740 | ||||||||
\(896\) | 4.58049 | − | 28.3459i | 0.153023 | − | 0.946971i | ||||
\(897\) | −26.8367 | + | 0.924468i | −0.896050 | + | 0.0308671i | ||||
\(898\) | 7.57034 | + | 13.1122i | 0.252626 | + | 0.437560i | ||||
\(899\) | 1.24527 | + | 0.718960i | 0.0415322 | + | 0.0239786i | ||||
\(900\) | 0.705888 | − | 0.148705i | 0.0235296 | − | 0.00495685i | ||||
\(901\) | 16.3873 | − | 9.46122i | 0.545941 | − | 0.315199i | ||||
\(902\) | − | 28.4486i | − | 0.947235i | ||||||
\(903\) | −5.41512 | − | 0.305702i | −0.180204 | − | 0.0101731i | ||||
\(904\) | − | 17.6079i | − | 0.585629i | ||||||
\(905\) | 2.17933 | + | 3.77471i | 0.0724434 | + | 0.125476i | ||||
\(906\) | −4.06735 | − | 5.60890i | −0.135129 | − | 0.186343i | ||||
\(907\) | −26.1019 | + | 45.2098i | −0.866699 | + | 1.50117i | −0.00134835 | + | 0.999999i | \(0.500429\pi\) |
−0.865350 | + | 0.501167i | \(0.832904\pi\) | |||||||
\(908\) | 0.397482 | − | 0.229486i | 0.0131909 | − | 0.00761577i | ||||
\(909\) | 0.825476 | + | 0.920130i | 0.0273793 | + | 0.0305188i | ||||
\(910\) | 5.56696 | − | 5.93767i | 0.184543 | − | 0.196832i | ||||
\(911\) | − | 39.0422i | − | 1.29353i | −0.762691 | − | 0.646763i | \(-0.776122\pi\) | ||
0.762691 | − | 0.646763i | \(-0.223878\pi\) | |||||||
\(912\) | −0.177077 | − | 1.69958i | −0.00586361 | − | 0.0562787i | ||||
\(913\) | 65.0464 | + | 37.5545i | 2.15272 | + | 1.24287i | ||||
\(914\) | −5.93967 | − | 3.42927i | −0.196467 | − | 0.113430i | ||||
\(915\) | 1.39733 | + | 13.4115i | 0.0461943 | + | 0.443371i | ||||
\(916\) | 0.952153 | 0.0314600 | ||||||||
\(917\) | −1.98163 | + | 12.2631i | −0.0654393 | + | 0.404965i | ||||
\(918\) | −14.2154 | − | 44.1582i | −0.469177 | − | 1.45744i | ||||
\(919\) | −8.28476 | − | 14.3496i | −0.273289 | − | 0.473350i | 0.696413 | − | 0.717641i | \(-0.254778\pi\) |
−0.969702 | + | 0.244291i | \(0.921445\pi\) | |||||||
\(920\) | 3.76408 | − | 6.51958i | 0.124098 | − | 0.214944i | ||||
\(921\) | −35.3019 | + | 25.5995i | −1.16324 | + | 0.843533i | ||||
\(922\) | −33.1663 | + | 19.1486i | −1.09227 | + | 0.630625i | ||||
\(923\) | −10.3121 | − | 21.1197i | −0.339426 | − | 0.695162i | ||||
\(924\) | −0.568389 | − | 1.12674i | −0.0186986 | − | 0.0370670i | ||||
\(925\) | 32.2616i | 1.06076i | ||||||||
\(926\) | 46.3441 | − | 26.7568i | 1.52296 | − | 0.879283i | ||||
\(927\) | 8.13238 | + | 38.6035i | 0.267102 | + | 1.26791i | ||||
\(928\) | −1.60984 | − | 0.929439i | −0.0528454 | − | 0.0305103i | ||||
\(929\) | −37.3804 | + | 21.5816i | −1.22641 | + | 0.708069i | −0.966277 | − | 0.257504i | \(-0.917100\pi\) |
−0.260134 | + | 0.965573i | \(0.583767\pi\) | |||||||
\(930\) | 0.136955 | − | 0.306857i | 0.00449092 | − | 0.0100622i | ||||
\(931\) | 1.32558 | − | 1.17862i | 0.0434441 | − | 0.0386278i | ||||
\(932\) | − | 0.0694561i | − | 0.00227511i | ||||||
\(933\) | −1.62976 | − | 15.6423i | −0.0533558 | − | 0.512107i | ||||
\(934\) | 9.07821 | − | 15.7239i | 0.297048 | − | 0.514502i | ||||
\(935\) | −17.9421 | − | 10.3589i | −0.586771 | − | 0.338772i | ||||
\(936\) | 30.6831 | − | 4.26912i | 1.00291 | − | 0.139541i | ||||
\(937\) | − | 22.8032i | − | 0.744949i | −0.928042 | − | 0.372475i | \(-0.878509\pi\) | ||
0.928042 | − | 0.372475i | \(-0.121491\pi\) | |||||||
\(938\) | 25.0927 | − | 30.7894i | 0.819305 | − | 1.00531i | ||||
\(939\) | 1.61107 | − | 3.60972i | 0.0525753 | − | 0.117799i | ||||
\(940\) | −0.0303198 | − | 0.0525154i | −0.000988923 | − | 0.00171286i | ||||
\(941\) | 43.3047 | + | 25.0020i | 1.41169 | + | 0.815042i | 0.995548 | − | 0.0942559i | \(-0.0300472\pi\) |
0.416146 | + | 0.909298i | \(0.363381\pi\) | |||||||
\(942\) | −15.7458 | − | 21.7136i | −0.513027 | − | 0.707467i | ||||
\(943\) | 8.27092 | + | 14.3257i | 0.269338 | + | 0.466507i | ||||
\(944\) | 13.1067i | 0.426586i | ||||||||
\(945\) | 1.26617 | + | 8.30827i | 0.0411885 | + | 0.270268i | ||||
\(946\) | 8.75226 | 0.284561 | ||||||||
\(947\) | 20.8849 | + | 36.1736i | 0.678667 | + | 1.17548i | 0.975383 | + | 0.220519i | \(0.0707751\pi\) |
−0.296716 | + | 0.954966i | \(0.595892\pi\) | |||||||
\(948\) | −0.605742 | + | 0.439260i | −0.0196736 | + | 0.0142665i | ||||
\(949\) | 43.8164 | + | 3.04486i | 1.42234 | + | 0.0988403i | ||||
\(950\) | −0.818093 | − | 1.41698i | −0.0265425 | − | 0.0459729i | ||||
\(951\) | 0.297202 | + | 0.132645i | 0.00963743 | + | 0.00430132i | ||||
\(952\) | 45.3037 | − | 17.2281i | 1.46830 | − | 0.558365i | ||||
\(953\) | 28.8958i | 0.936026i | 0.883722 | + | 0.468013i | \(0.155030\pi\) | ||||
−0.883722 | + | 0.468013i | \(0.844970\pi\) | |||||||
\(954\) | 11.7734 | + | 3.84899i | 0.381177 | + | 0.124616i | ||||
\(955\) | −0.715343 | + | 1.23901i | −0.0231479 | + | 0.0400934i | ||||
\(956\) | −0.201712 | + | 0.349376i | −0.00652383 | + | 0.0112996i | ||||
\(957\) | 57.7200 | − | 6.01377i | 1.86582 | − | 0.194398i | ||||
\(958\) | − | 16.3226i | − | 0.527359i | ||||||
\(959\) | 39.3224 | − | 14.9535i | 1.26979 | − | 0.482873i | ||||
\(960\) | −3.53732 | + | 7.92563i | −0.114167 | + | 0.255799i | ||||
\(961\) | 15.4741 | + | 26.8020i | 0.499166 | + | 0.864581i | ||||
\(962\) | −2.43280 | + | 35.0087i | −0.0784367 | + | 1.12872i | ||||
\(963\) | −3.82268 | − | 18.1458i | −0.123184 | − | 0.584742i | ||||
\(964\) | 0.0267916 | + | 0.0464045i | 0.000862901 | + | 0.00149459i | ||||
\(965\) | 7.26079 | 0.233733 | ||||||||
\(966\) | −23.0043 | − | 15.0714i | −0.740152 | − | 0.484916i | ||||
\(967\) | − | 27.2038i | − | 0.874814i | −0.899264 | − | 0.437407i | \(-0.855897\pi\) | ||
0.899264 | − | 0.437407i | \(-0.144103\pi\) | |||||||
\(968\) | 24.4464 | + | 42.3424i | 0.785736 | + | 1.36094i | ||||
\(969\) | 2.27275 | − | 1.64810i | 0.0730111 | − | 0.0529447i | ||||
\(970\) | −10.5126 | − | 6.06948i | −0.337541 | − | 0.194879i | ||||
\(971\) | 23.3323 | + | 40.4127i | 0.748768 | + | 1.29690i | 0.948414 | + | 0.317036i | \(0.102688\pi\) |
−0.199646 | + | 0.979868i | \(0.563979\pi\) | |||||||
\(972\) | −0.408293 | + | 0.699847i | −0.0130960 | + | 0.0224476i | ||||
\(973\) | −16.7714 | + | 20.5790i | −0.537667 | + | 0.659733i | ||||
\(974\) | 49.4769i | 1.58534i | ||||||||
\(975\) | 24.5083 | − | 15.2984i | 0.784895 | − | 0.489942i | ||||
\(976\) | 42.9388 | + | 24.7907i | 1.37444 | + | 0.793531i | ||||
\(977\) | 22.0469 | − | 38.1863i | 0.705341 | − | 1.22169i | −0.261227 | − | 0.965277i | \(-0.584127\pi\) |
0.966568 | − | 0.256410i | \(-0.0825396\pi\) | |||||||
\(978\) | 41.0781 | − | 4.27988i | 1.31353 | − | 0.136856i | ||||
\(979\) | − | 37.3095i | − | 1.19242i | ||||||
\(980\) | −0.217845 | + | 0.0448818i | −0.00695879 | + | 0.00143370i | ||||
\(981\) | −34.1978 | + | 30.6799i | −1.09185 | + | 0.979533i | ||||
\(982\) | 12.3677 | − | 7.14047i | 0.394668 | − | 0.227862i | ||||
\(983\) | −36.5295 | − | 21.0903i | −1.16511 | − | 0.672677i | −0.212587 | − | 0.977142i | \(-0.568189\pi\) |
−0.952523 | + | 0.304465i | \(0.901522\pi\) | |||||||
\(984\) | −11.2031 | − | 15.4491i | −0.357141 | − | 0.492499i | ||||
\(985\) | 9.35602 | − | 5.40170i | 0.298108 | − | 0.172112i | ||||
\(986\) | 56.4570i | 1.79796i | ||||||||
\(987\) | −7.80834 | + | 3.93896i | −0.248542 | + | 0.125378i | ||||
\(988\) | 0.0208359 | + | 0.0426730i | 0.000662879 | + | 0.00135761i | ||||
\(989\) | −4.40731 | + | 2.54456i | −0.140144 | + | 0.0809124i | ||||
\(990\) | −2.79563 | − | 13.2705i | −0.0888509 | − | 0.421765i | ||||
\(991\) | −2.95639 | + | 5.12063i | −0.0939130 | + | 0.162662i | −0.909154 | − | 0.416459i | \(-0.863271\pi\) |
0.815241 | + | 0.579121i | \(0.196604\pi\) | |||||||
\(992\) | 0.0334197 | + | 0.0578847i | 0.00106108 | + | 0.00183784i | ||||
\(993\) | 14.9880 | − | 33.5816i | 0.475628 | − | 1.06568i | ||||
\(994\) | 3.83987 | − | 23.7627i | 0.121793 | − | 0.753707i | ||||
\(995\) | 0.978295 | 0.0310140 | ||||||||
\(996\) | 1.26936 | − | 0.132253i | 0.0402213 | − | 0.00419060i | ||||
\(997\) | 7.72518 | + | 4.46013i | 0.244659 | + | 0.141254i | 0.617316 | − | 0.786715i | \(-0.288220\pi\) |
−0.372657 | + | 0.927969i | \(0.621553\pi\) | |||||||
\(998\) | −45.0179 | − | 25.9911i | −1.42502 | − | 0.822733i | ||||
\(999\) | −26.8623 | − | 24.3194i | −0.849885 | − | 0.769431i |
(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 | 273.2.ba.c.38.10 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.ba.c.38.23 | yes | 64 | |
7.5 | odd | 6 | inner | 273.2.ba.c.194.9 | yes | 64 | |
13.12 | even | 2 | inner | 273.2.ba.c.38.24 | yes | 64 | |
21.5 | even | 6 | inner | 273.2.ba.c.194.24 | yes | 64 | |
39.38 | odd | 2 | inner | 273.2.ba.c.38.9 | ✓ | 64 | |
91.12 | odd | 6 | inner | 273.2.ba.c.194.23 | yes | 64 | |
273.194 | even | 6 | inner | 273.2.ba.c.194.10 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.ba.c.38.9 | ✓ | 64 | 39.38 | odd | 2 | inner | |
273.2.ba.c.38.10 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.ba.c.38.23 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.ba.c.38.24 | yes | 64 | 13.12 | even | 2 | inner | |
273.2.ba.c.194.9 | yes | 64 | 7.5 | odd | 6 | inner | |
273.2.ba.c.194.10 | yes | 64 | 273.194 | even | 6 | inner | |
273.2.ba.c.194.23 | yes | 64 | 91.12 | odd | 6 | inner | |
273.2.ba.c.194.24 | yes | 64 | 21.5 | even | 6 | inner |