Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(131,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.131");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.bj (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: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 171.5 | ||
Character | \(\chi\) | \(=\) | 280.171 |
Dual form | 280.2.bj.f.131.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.410069 | − | 1.35346i | −0.289962 | − | 0.957038i | ||||
\(3\) | 2.26702 | + | 1.30886i | 1.30886 | + | 0.755673i | 0.981907 | − | 0.189366i | \(-0.0606431\pi\) |
0.326958 | + | 0.945039i | \(0.393976\pi\) | |||||||
\(4\) | −1.66369 | + | 1.11002i | −0.831844 | + | 0.555010i | ||||
\(5\) | −0.500000 | − | 0.866025i | −0.223607 | − | 0.387298i | ||||
\(6\) | 0.841856 | − | 3.60504i | 0.343686 | − | 1.47175i | ||||
\(7\) | 1.72615 | − | 2.00510i | 0.652423 | − | 0.757855i | ||||
\(8\) | 2.18459 | + | 1.79654i | 0.772369 | + | 0.635174i | ||||
\(9\) | 1.92625 | + | 3.33637i | 0.642084 | + | 1.11212i | ||||
\(10\) | −0.967093 | + | 1.03186i | −0.305822 | + | 0.326302i | ||||
\(11\) | 0.530792 | − | 0.919359i | 0.160040 | − | 0.277197i | −0.774843 | − | 0.632154i | \(-0.782171\pi\) |
0.934883 | + | 0.354957i | \(0.115504\pi\) | |||||||
\(12\) | −5.22448 | + | 0.338897i | −1.50818 | + | 0.0978313i | ||||
\(13\) | 0.831440 | 0.230600 | 0.115300 | − | 0.993331i | \(-0.463217\pi\) | ||||
0.115300 | + | 0.993331i | \(0.463217\pi\) | |||||||
\(14\) | −3.42165 | − | 1.51404i | −0.914474 | − | 0.404644i | ||||
\(15\) | − | 2.61773i | − | 0.675895i | ||||||
\(16\) | 1.53571 | − | 3.69345i | 0.383927 | − | 0.923363i | ||||
\(17\) | 4.14632 | + | 2.39388i | 1.00563 | + | 0.580601i | 0.909909 | − | 0.414807i | \(-0.136151\pi\) |
0.0957209 | + | 0.995408i | \(0.469484\pi\) | |||||||
\(18\) | 3.72573 | − | 3.97524i | 0.878163 | − | 0.936973i | ||||
\(19\) | −2.03733 | + | 1.17625i | −0.467396 | + | 0.269851i | −0.715149 | − | 0.698972i | \(-0.753641\pi\) |
0.247753 | + | 0.968823i | \(0.420308\pi\) | |||||||
\(20\) | 1.79315 | + | 0.885785i | 0.400960 | + | 0.198068i | ||||
\(21\) | 6.53761 | − | 2.28630i | 1.42662 | − | 0.498910i | ||||
\(22\) | −1.46197 | − | 0.341404i | −0.311694 | − | 0.0727875i | ||||
\(23\) | 1.32189 | − | 0.763194i | 0.275633 | − | 0.159137i | −0.355812 | − | 0.934558i | \(-0.615796\pi\) |
0.631445 | + | 0.775421i | \(0.282462\pi\) | |||||||
\(24\) | 2.60108 | + | 6.93213i | 0.530943 | + | 1.41502i | ||||
\(25\) | −0.500000 | + | 0.866025i | −0.100000 | + | 0.173205i | ||||
\(26\) | −0.340948 | − | 1.12532i | −0.0668653 | − | 0.220693i | ||||
\(27\) | 2.23163i | 0.429477i | ||||||||
\(28\) | −0.646076 | + | 5.25191i | −0.122097 | + | 0.992518i | ||||
\(29\) | − | 3.07820i | − | 0.571607i | −0.958288 | − | 0.285803i | \(-0.907740\pi\) | ||
0.958288 | − | 0.285803i | \(-0.0922604\pi\) | |||||||
\(30\) | −3.54298 | + | 1.07345i | −0.646857 | + | 0.195984i | ||||
\(31\) | −4.78548 | + | 8.28870i | −0.859498 | + | 1.48869i | 0.0129107 | + | 0.999917i | \(0.495890\pi\) |
−0.872409 | + | 0.488777i | \(0.837443\pi\) | |||||||
\(32\) | −5.62867 | − | 0.563945i | −0.995018 | − | 0.0996923i | ||||
\(33\) | 2.40663 | − | 1.38947i | 0.418941 | − | 0.241876i | ||||
\(34\) | 1.53973 | − | 6.59352i | 0.264062 | − | 1.13078i | ||||
\(35\) | −2.59954 | − | 0.492342i | −0.439402 | − | 0.0832209i | ||||
\(36\) | −6.90812 | − | 3.41249i | −1.15135 | − | 0.568749i | ||||
\(37\) | −10.0658 | + | 5.81151i | −1.65481 | + | 0.955407i | −0.679760 | + | 0.733435i | \(0.737916\pi\) |
−0.975053 | + | 0.221972i | \(0.928751\pi\) | |||||||
\(38\) | 2.42746 | + | 2.27509i | 0.393785 | + | 0.369069i | ||||
\(39\) | 1.88489 | + | 1.08824i | 0.301824 | + | 0.174258i | ||||
\(40\) | 0.463556 | − | 2.79018i | 0.0732947 | − | 0.441167i | ||||
\(41\) | − | 8.76255i | − | 1.36848i | −0.729256 | − | 0.684241i | \(-0.760134\pi\) | ||
0.729256 | − | 0.684241i | \(-0.239866\pi\) | |||||||
\(42\) | −5.77527 | − | 7.91083i | −0.891144 | − | 1.22067i | ||||
\(43\) | −4.99479 | −0.761699 | −0.380849 | − | 0.924637i | \(-0.624368\pi\) | ||||
−0.380849 | + | 0.924637i | \(0.624368\pi\) | |||||||
\(44\) | 0.137435 | + | 2.11872i | 0.0207192 | + | 0.319409i | ||||
\(45\) | 1.92625 | − | 3.33637i | 0.287149 | − | 0.497356i | ||||
\(46\) | −1.57502 | − | 1.47616i | −0.232223 | − | 0.217648i | ||||
\(47\) | −1.75877 | − | 3.04628i | −0.256543 | − | 0.444345i | 0.708771 | − | 0.705439i | \(-0.249250\pi\) |
−0.965313 | + | 0.261094i | \(0.915917\pi\) | |||||||
\(48\) | 8.31571 | − | 6.36310i | 1.20027 | − | 0.918434i | ||||
\(49\) | −1.04082 | − | 6.92219i | −0.148688 | − | 0.988884i | ||||
\(50\) | 1.37716 | + | 0.321598i | 0.194760 | + | 0.0454808i | ||||
\(51\) | 6.26653 | + | 10.8539i | 0.877489 | + | 1.51986i | ||||
\(52\) | −1.38326 | + | 0.922915i | −0.191823 | + | 0.127985i | ||||
\(53\) | −6.61057 | − | 3.81661i | −0.908031 | − | 0.524252i | −0.0282341 | − | 0.999601i | \(-0.508988\pi\) |
−0.879797 | + | 0.475349i | \(0.842322\pi\) | |||||||
\(54\) | 3.02041 | − | 0.915121i | 0.411026 | − | 0.124532i | ||||
\(55\) | −1.06158 | −0.143144 | ||||||||
\(56\) | 7.37317 | − | 1.27921i | 0.985281 | − | 0.170942i | ||||
\(57\) | −6.15823 | −0.815678 | ||||||||
\(58\) | −4.16620 | + | 1.26227i | −0.547049 | + | 0.165744i | ||||
\(59\) | −3.31455 | − | 1.91365i | −0.431517 | − | 0.249137i | 0.268476 | − | 0.963287i | \(-0.413480\pi\) |
−0.699993 | + | 0.714150i | \(0.746813\pi\) | |||||||
\(60\) | 2.90573 | + | 4.35508i | 0.375128 | + | 0.562239i | ||||
\(61\) | 6.51711 | + | 11.2880i | 0.834430 | + | 1.44528i | 0.894494 | + | 0.447080i | \(0.147536\pi\) |
−0.0600638 | + | 0.998195i | \(0.519130\pi\) | |||||||
\(62\) | 13.1808 | + | 3.07800i | 1.67396 | + | 0.390907i | ||||
\(63\) | 10.0147 | + | 1.89675i | 1.26174 | + | 0.238968i | ||||
\(64\) | 1.54487 | + | 7.84942i | 0.193109 | + | 0.981177i | ||||
\(65\) | −0.415720 | − | 0.720048i | −0.0515637 | − | 0.0893110i | ||||
\(66\) | −2.86747 | − | 2.68749i | −0.352962 | − | 0.330808i | ||||
\(67\) | −7.36855 | + | 12.7627i | −0.900212 | + | 1.55921i | −0.0729933 | + | 0.997332i | \(0.523255\pi\) |
−0.827219 | + | 0.561880i | \(0.810078\pi\) | |||||||
\(68\) | −9.55543 | + | 0.619835i | −1.15877 | + | 0.0751660i | ||||
\(69\) | 3.99567 | 0.481022 | ||||||||
\(70\) | 0.399627 | + | 3.72026i | 0.0477645 | + | 0.444656i | ||||
\(71\) | 9.99651i | 1.18637i | 0.805067 | + | 0.593184i | \(0.202129\pi\) | ||||
−0.805067 | + | 0.593184i | \(0.797871\pi\) | |||||||
\(72\) | −1.78585 | + | 10.7492i | −0.210465 | + | 1.26680i | ||||
\(73\) | −7.06104 | − | 4.07669i | −0.826432 | − | 0.477141i | 0.0261973 | − | 0.999657i | \(-0.491660\pi\) |
−0.852630 | + | 0.522516i | \(0.824994\pi\) | |||||||
\(74\) | 11.9933 | + | 11.2405i | 1.39419 | + | 1.30669i | ||||
\(75\) | −2.26702 | + | 1.30886i | −0.261773 | + | 0.151135i | ||||
\(76\) | 2.08382 | − | 4.21840i | 0.239030 | − | 0.483884i | ||||
\(77\) | −0.927176 | − | 2.65124i | −0.105662 | − | 0.302137i | ||||
\(78\) | 0.699953 | − | 2.99737i | 0.0792541 | − | 0.339386i | ||||
\(79\) | 8.17894 | − | 4.72211i | 0.920202 | − | 0.531279i | 0.0365026 | − | 0.999334i | \(-0.488378\pi\) |
0.883700 | + | 0.468055i | \(0.155045\pi\) | |||||||
\(80\) | −3.96648 | + | 0.516763i | −0.443466 | + | 0.0577759i | ||||
\(81\) | 2.85786 | − | 4.94996i | 0.317540 | − | 0.549995i | ||||
\(82\) | −11.8597 | + | 3.59325i | −1.30969 | + | 0.396808i | ||||
\(83\) | 13.7576i | 1.51010i | 0.655669 | + | 0.755049i | \(0.272387\pi\) | ||||
−0.655669 | + | 0.755049i | \(0.727613\pi\) | |||||||
\(84\) | −8.33871 | + | 11.0606i | −0.909828 | + | 1.20681i | ||||
\(85\) | − | 4.78776i | − | 0.519305i | ||||||
\(86\) | 2.04821 | + | 6.76023i | 0.220864 | + | 0.728975i | ||||
\(87\) | 4.02894 | − | 6.97833i | 0.431948 | − | 0.748156i | ||||
\(88\) | 2.81123 | − | 1.05483i | 0.299678 | − | 0.112446i | ||||
\(89\) | 10.1864 | − | 5.88110i | 1.07975 | − | 0.623396i | 0.148923 | − | 0.988849i | \(-0.452419\pi\) |
0.930830 | + | 0.365453i | \(0.119086\pi\) | |||||||
\(90\) | −5.30552 | − | 1.23896i | −0.559251 | − | 0.130598i | ||||
\(91\) | 1.43519 | − | 1.66712i | 0.150449 | − | 0.174761i | ||||
\(92\) | −1.35205 | + | 2.73704i | −0.140961 | + | 0.285356i | ||||
\(93\) | −21.6976 | + | 12.5271i | −2.24993 | + | 1.29900i | ||||
\(94\) | −3.40179 | + | 3.62960i | −0.350868 | + | 0.374365i | ||||
\(95\) | 2.03733 | + | 1.17625i | 0.209026 | + | 0.120681i | ||||
\(96\) | −12.0222 | − | 8.64565i | −1.22701 | − | 0.882392i | ||||
\(97\) | − | 6.01605i | − | 0.610837i | −0.952218 | − | 0.305418i | \(-0.901204\pi\) | ||
0.952218 | − | 0.305418i | \(-0.0987963\pi\) | |||||||
\(98\) | −8.94207 | + | 4.24727i | −0.903286 | + | 0.429039i | ||||
\(99\) | 4.08976 | 0.411036 | ||||||||
\(100\) | −0.129462 | − | 1.99581i | −0.0129462 | − | 0.199581i | ||||
\(101\) | 6.35344 | − | 11.0045i | 0.632191 | − | 1.09499i | −0.354912 | − | 0.934900i | \(-0.615489\pi\) |
0.987103 | − | 0.160087i | \(-0.0511776\pi\) | |||||||
\(102\) | 12.1206 | − | 12.9323i | 1.20012 | − | 1.28049i | ||||
\(103\) | −0.337209 | − | 0.584063i | −0.0332262 | − | 0.0575495i | 0.848934 | − | 0.528499i | \(-0.177245\pi\) |
−0.882160 | + | 0.470949i | \(0.843912\pi\) | |||||||
\(104\) | 1.81636 | + | 1.49372i | 0.178108 | + | 0.146471i | ||||
\(105\) | −5.24880 | − | 4.51859i | −0.512230 | − | 0.440969i | ||||
\(106\) | −2.45483 | + | 10.5122i | −0.238434 | + | 1.02103i | ||||
\(107\) | −3.79703 | − | 6.57665i | −0.367073 | − | 0.635789i | 0.622033 | − | 0.782991i | \(-0.286307\pi\) |
−0.989107 | + | 0.147201i | \(0.952973\pi\) | |||||||
\(108\) | −2.47715 | − | 3.71273i | −0.238364 | − | 0.357258i | ||||
\(109\) | 2.84932 | + | 1.64505i | 0.272915 | + | 0.157568i | 0.630212 | − | 0.776423i | \(-0.282968\pi\) |
−0.357297 | + | 0.933991i | \(0.616301\pi\) | |||||||
\(110\) | 0.435323 | + | 1.43681i | 0.0415064 | + | 0.136994i | ||||
\(111\) | −30.4259 | −2.88790 | ||||||||
\(112\) | −4.75486 | − | 9.45470i | −0.449292 | − | 0.893385i | ||||
\(113\) | 15.0551 | 1.41626 | 0.708132 | − | 0.706080i | \(-0.249538\pi\) | ||||
0.708132 | + | 0.706080i | \(0.249538\pi\) | |||||||
\(114\) | 2.52530 | + | 8.33489i | 0.236516 | + | 0.780634i | ||||
\(115\) | −1.32189 | − | 0.763194i | −0.123267 | − | 0.0711682i | ||||
\(116\) | 3.41686 | + | 5.12115i | 0.317248 | + | 0.475487i | ||||
\(117\) | 1.60156 | + | 2.77399i | 0.148065 | + | 0.256455i | ||||
\(118\) | −1.23086 | + | 5.27082i | −0.113309 | + | 0.485219i | ||||
\(119\) | 11.9571 | − | 4.18157i | 1.09611 | − | 0.383324i | ||||
\(120\) | 4.70286 | − | 5.71867i | 0.429311 | − | 0.522040i | ||||
\(121\) | 4.93652 | + | 8.55030i | 0.448774 | + | 0.777300i | ||||
\(122\) | 12.6053 | − | 13.4495i | 1.14123 | − | 1.21766i | ||||
\(123\) | 11.4690 | − | 19.8649i | 1.03412 | − | 1.79116i | ||||
\(124\) | −1.23908 | − | 19.1018i | −0.111273 | − | 1.71539i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −1.53956 | − | 14.3323i | −0.137155 | − | 1.27682i | ||||
\(127\) | 9.06617i | 0.804493i | 0.915531 | + | 0.402246i | \(0.131770\pi\) | ||||
−0.915531 | + | 0.402246i | \(0.868230\pi\) | |||||||
\(128\) | 9.99034 | − | 5.30972i | 0.883030 | − | 0.469317i | ||||
\(129\) | −11.3233 | − | 6.53751i | −0.996961 | − | 0.575596i | ||||
\(130\) | −0.804080 | + | 0.857928i | −0.0705225 | + | 0.0752453i | ||||
\(131\) | −10.0620 | + | 5.80928i | −0.879119 | + | 0.507559i | −0.870368 | − | 0.492402i | \(-0.836119\pi\) |
−0.00875088 | + | 0.999962i | \(0.502786\pi\) | |||||||
\(132\) | −2.46154 | + | 4.98306i | −0.214250 | + | 0.433719i | ||||
\(133\) | −1.15824 | + | 6.11544i | −0.100432 | + | 0.530276i | ||||
\(134\) | 20.2954 | + | 4.73942i | 1.75325 | + | 0.409424i | ||||
\(135\) | 1.93265 | − | 1.11581i | 0.166336 | − | 0.0960340i | ||||
\(136\) | 4.75730 | + | 12.6787i | 0.407935 | + | 1.08719i | ||||
\(137\) | −0.257971 | + | 0.446818i | −0.0220399 | + | 0.0381743i | −0.876835 | − | 0.480791i | \(-0.840349\pi\) |
0.854795 | + | 0.518966i | \(0.173683\pi\) | |||||||
\(138\) | −1.63850 | − | 5.40796i | −0.139478 | − | 0.460356i | ||||
\(139\) | − | 9.35115i | − | 0.793154i | −0.918001 | − | 0.396577i | \(-0.870198\pi\) | ||
0.918001 | − | 0.396577i | \(-0.129802\pi\) | |||||||
\(140\) | 4.87133 | − | 2.06644i | 0.411702 | − | 0.174646i | ||||
\(141\) | − | 9.20796i | − | 0.775450i | ||||||
\(142\) | 13.5298 | − | 4.09926i | 1.13540 | − | 0.344002i | ||||
\(143\) | 0.441322 | − | 0.764392i | 0.0369052 | − | 0.0639217i | ||||
\(144\) | 15.2809 | − | 1.99083i | 1.27341 | − | 0.165903i | ||||
\(145\) | −2.66580 | + | 1.53910i | −0.221382 | + | 0.127815i | ||||
\(146\) | −2.62211 | + | 11.2285i | −0.217008 | + | 0.929280i | ||||
\(147\) | 6.70066 | − | 17.0550i | 0.552661 | − | 1.40667i | ||||
\(148\) | 10.2955 | − | 20.8418i | 0.846285 | − | 1.71319i | ||||
\(149\) | −3.15569 | + | 1.82194i | −0.258524 | + | 0.149259i | −0.623661 | − | 0.781695i | \(-0.714356\pi\) |
0.365137 | + | 0.930954i | \(0.381022\pi\) | |||||||
\(150\) | 2.70112 | + | 2.53159i | 0.220546 | + | 0.206703i | ||||
\(151\) | −14.1378 | − | 8.16245i | −1.15052 | − | 0.664251i | −0.201503 | − | 0.979488i | \(-0.564583\pi\) |
−0.949013 | + | 0.315237i | \(0.897916\pi\) | |||||||
\(152\) | −6.56393 | − | 1.09052i | −0.532405 | − | 0.0884529i | ||||
\(153\) | 18.4449i | 1.49118i | ||||||||
\(154\) | −3.20813 | + | 2.34208i | −0.258519 | + | 0.188731i | ||||
\(155\) | 9.57096 | 0.768758 | ||||||||
\(156\) | −4.34384 | + | 0.281773i | −0.347786 | + | 0.0225599i | ||||
\(157\) | 7.61469 | − | 13.1890i | 0.607719 | − | 1.05260i | −0.383897 | − | 0.923376i | \(-0.625418\pi\) |
0.991615 | − | 0.129224i | \(-0.0412485\pi\) | |||||||
\(158\) | −9.74510 | − | 9.13344i | −0.775278 | − | 0.726617i | ||||
\(159\) | −9.99086 | − | 17.3047i | −0.792327 | − | 1.37235i | ||||
\(160\) | 2.32595 | + | 5.15655i | 0.183882 | + | 0.407661i | ||||
\(161\) | 0.751504 | − | 3.96790i | 0.0592268 | − | 0.312715i | ||||
\(162\) | −7.87147 | − | 1.83816i | −0.618441 | − | 0.144420i | ||||
\(163\) | −2.76559 | − | 4.79015i | −0.216618 | − | 0.375193i | 0.737154 | − | 0.675725i | \(-0.236169\pi\) |
−0.953772 | + | 0.300532i | \(0.902836\pi\) | |||||||
\(164\) | 9.72662 | + | 14.5781i | 0.759521 | + | 1.13836i | ||||
\(165\) | −2.40663 | − | 1.38947i | −0.187356 | − | 0.108170i | ||||
\(166\) | 18.6204 | − | 5.64158i | 1.44522 | − | 0.437872i | ||||
\(167\) | −11.1473 | −0.862608 | −0.431304 | − | 0.902207i | \(-0.641946\pi\) | ||||
−0.431304 | + | 0.902207i | \(0.641946\pi\) | |||||||
\(168\) | 18.3894 | + | 6.75048i | 1.41878 | + | 0.520811i | ||||
\(169\) | −12.3087 | −0.946824 | ||||||||
\(170\) | −6.48002 | + | 1.96331i | −0.496995 | + | 0.150579i | ||||
\(171\) | −7.84883 | − | 4.53153i | −0.600215 | − | 0.346534i | ||||
\(172\) | 8.30977 | − | 5.54432i | 0.633614 | − | 0.422751i | ||||
\(173\) | 0.910856 | + | 1.57765i | 0.0692511 | + | 0.119946i | 0.898572 | − | 0.438826i | \(-0.144606\pi\) |
−0.829321 | + | 0.558773i | \(0.811272\pi\) | |||||||
\(174\) | −11.0970 | − | 2.59140i | −0.841262 | − | 0.196453i | ||||
\(175\) | 0.873389 | + | 2.49744i | 0.0660220 | + | 0.188789i | ||||
\(176\) | −2.58047 | − | 3.37233i | −0.194510 | − | 0.254199i | ||||
\(177\) | −5.00943 | − | 8.67659i | −0.376532 | − | 0.652172i | ||||
\(178\) | −12.1369 | − | 11.3751i | −0.909701 | − | 0.852603i | ||||
\(179\) | −1.28415 | + | 2.22422i | −0.0959822 | + | 0.166246i | −0.910018 | − | 0.414569i | \(-0.863933\pi\) |
0.814036 | + | 0.580815i | \(0.197266\pi\) | |||||||
\(180\) | 0.498755 | + | 7.68885i | 0.0371750 | + | 0.573093i | ||||
\(181\) | 11.7984 | 0.876969 | 0.438484 | − | 0.898739i | \(-0.355515\pi\) | ||||
0.438484 | + | 0.898739i | \(0.355515\pi\) | |||||||
\(182\) | −2.84490 | − | 1.25883i | −0.210878 | − | 0.0933110i | ||||
\(183\) | 34.1200i | 2.52223i | ||||||||
\(184\) | 4.25890 | + | 0.707567i | 0.313970 | + | 0.0521625i | ||||
\(185\) | 10.0658 | + | 5.81151i | 0.740055 | + | 0.427271i | ||||
\(186\) | 25.8524 | + | 24.2297i | 1.89559 | + | 1.77661i | ||||
\(187\) | 4.40167 | − | 2.54131i | 0.321882 | − | 0.185839i | ||||
\(188\) | 6.30747 | + | 3.11578i | 0.460020 | + | 0.227242i | ||||
\(189\) | 4.47463 | + | 3.85212i | 0.325481 | + | 0.280201i | ||||
\(190\) | 0.756562 | − | 3.23979i | 0.0548868 | − | 0.235039i | ||||
\(191\) | 1.34645 | − | 0.777371i | 0.0974254 | − | 0.0562486i | −0.450496 | − | 0.892779i | \(-0.648753\pi\) |
0.547921 | + | 0.836530i | \(0.315419\pi\) | |||||||
\(192\) | −6.77158 | + | 19.8168i | −0.488696 | + | 1.43016i | ||||
\(193\) | −1.46380 | + | 2.53537i | −0.105367 | + | 0.182500i | −0.913888 | − | 0.405967i | \(-0.866935\pi\) |
0.808521 | + | 0.588467i | \(0.200268\pi\) | |||||||
\(194\) | −8.14245 | + | 2.46699i | −0.584594 | + | 0.177120i | ||||
\(195\) | − | 2.17648i | − | 0.155861i | ||||||
\(196\) | 9.41536 | + | 10.3610i | 0.672526 | + | 0.740074i | ||||
\(197\) | 8.32978i | 0.593473i | 0.954959 | + | 0.296736i | \(0.0958982\pi\) | ||||
−0.954959 | + | 0.296736i | \(0.904102\pi\) | |||||||
\(198\) | −1.67708 | − | 5.53531i | −0.119185 | − | 0.393378i | ||||
\(199\) | 8.17280 | − | 14.1557i | 0.579355 | − | 1.00347i | −0.416199 | − | 0.909274i | \(-0.636638\pi\) |
0.995553 | − | 0.0941979i | \(-0.0300287\pi\) | |||||||
\(200\) | −2.64815 | + | 0.993639i | −0.187252 | + | 0.0702609i | ||||
\(201\) | −33.4093 | + | 19.2889i | −2.35651 | + | 1.36053i | ||||
\(202\) | −17.4994 | − | 4.08651i | −1.23126 | − | 0.287526i | ||||
\(203\) | −6.17208 | − | 5.31343i | −0.433195 | − | 0.372929i | ||||
\(204\) | −22.4736 | − | 11.1016i | −1.57347 | − | 0.777267i | ||||
\(205\) | −7.58860 | + | 4.38128i | −0.530010 | + | 0.306002i | ||||
\(206\) | −0.652225 | + | 0.695904i | −0.0454427 | + | 0.0484859i | ||||
\(207\) | 5.09259 | + | 2.94021i | 0.353960 | + | 0.204359i | ||||
\(208\) | 1.27685 | − | 3.07088i | 0.0885336 | − | 0.212928i | ||||
\(209\) | 2.49739i | 0.172748i | ||||||||
\(210\) | −3.96335 | + | 8.95695i | −0.273497 | + | 0.618088i | ||||
\(211\) | 11.9709 | 0.824112 | 0.412056 | − | 0.911159i | \(-0.364811\pi\) | ||||
0.412056 | + | 0.911159i | \(0.364811\pi\) | |||||||
\(212\) | 15.2344 | − | 0.988216i | 1.04631 | − | 0.0678709i | ||||
\(213\) | −13.0841 | + | 22.6623i | −0.896506 | + | 1.55279i | ||||
\(214\) | −7.34417 | + | 7.83600i | −0.502037 | + | 0.535658i | ||||
\(215\) | 2.49740 | + | 4.32562i | 0.170321 | + | 0.295005i | ||||
\(216\) | −4.00921 | + | 4.87519i | −0.272792 | + | 0.331715i | ||||
\(217\) | 8.35917 | + | 23.9029i | 0.567458 | + | 1.62263i | ||||
\(218\) | 1.05809 | − | 4.53101i | 0.0716631 | − | 0.306879i | ||||
\(219\) | −10.6717 | − | 18.4839i | −0.721125 | − | 1.24903i | ||||
\(220\) | 1.76615 | − | 1.17838i | 0.119073 | − | 0.0794464i | ||||
\(221\) | 3.44742 | + | 1.99037i | 0.231898 | + | 0.133887i | ||||
\(222\) | 12.4767 | + | 41.1802i | 0.837383 | + | 2.76383i | ||||
\(223\) | 26.5000 | 1.77457 | 0.887285 | − | 0.461222i | \(-0.152589\pi\) | ||||
0.887285 | + | 0.461222i | \(0.152589\pi\) | |||||||
\(224\) | −10.8467 | + | 10.3126i | −0.724725 | + | 0.689038i | ||||
\(225\) | −3.85251 | −0.256834 | ||||||||
\(226\) | −6.17362 | − | 20.3764i | −0.410663 | − | 1.35542i | ||||
\(227\) | −8.49854 | − | 4.90663i | −0.564068 | − | 0.325665i | 0.190709 | − | 0.981647i | \(-0.438921\pi\) |
−0.754777 | + | 0.655982i | \(0.772255\pi\) | |||||||
\(228\) | 10.2454 | − | 6.83576i | 0.678516 | − | 0.452709i | ||||
\(229\) | −10.1949 | − | 17.6581i | −0.673698 | − | 1.16688i | −0.976848 | − | 0.213937i | \(-0.931371\pi\) |
0.303149 | − | 0.952943i | \(-0.401962\pi\) | |||||||
\(230\) | −0.490883 | + | 2.10208i | −0.0323679 | + | 0.138607i | ||||
\(231\) | 1.36819 | − | 7.22397i | 0.0900202 | − | 0.475302i | ||||
\(232\) | 5.53011 | − | 6.72460i | 0.363070 | − | 0.441491i | ||||
\(233\) | 9.40026 | + | 16.2817i | 0.615831 | + | 1.06665i | 0.990238 | + | 0.139387i | \(0.0445131\pi\) |
−0.374407 | + | 0.927265i | \(0.622154\pi\) | |||||||
\(234\) | 3.09772 | − | 3.30517i | 0.202504 | − | 0.216066i | ||||
\(235\) | −1.75877 | + | 3.04628i | −0.114729 | + | 0.198717i | ||||
\(236\) | 7.63856 | − | 0.495493i | 0.497228 | − | 0.0322538i | ||||
\(237\) | 24.7224 | 1.60589 | ||||||||
\(238\) | −10.5628 | − | 14.4687i | −0.684686 | − | 0.937867i | ||||
\(239\) | 17.6775i | 1.14346i | 0.820442 | + | 0.571730i | \(0.193727\pi\) | ||||
−0.820442 | + | 0.571730i | \(0.806273\pi\) | |||||||
\(240\) | −9.66846 | − | 4.02007i | −0.624096 | − | 0.259494i | ||||
\(241\) | 2.91495 | + | 1.68295i | 0.187768 | + | 0.108408i | 0.590937 | − | 0.806717i | \(-0.298758\pi\) |
−0.403169 | + | 0.915126i | \(0.632091\pi\) | |||||||
\(242\) | 9.54815 | − | 10.1876i | 0.613778 | − | 0.654882i | ||||
\(243\) | 18.7556 | − | 10.8285i | 1.20317 | − | 0.694651i | ||||
\(244\) | −23.3723 | − | 11.5455i | −1.49626 | − | 0.739126i | ||||
\(245\) | −5.47438 | + | 4.36247i | −0.349746 | + | 0.278708i | ||||
\(246\) | −31.5893 | − | 7.37681i | −2.01406 | − | 0.470328i | ||||
\(247\) | −1.69392 | + | 0.977985i | −0.107782 | + | 0.0622277i | ||||
\(248\) | −25.3453 | + | 9.51009i | −1.60943 | + | 0.603891i | ||||
\(249\) | −18.0069 | + | 31.1888i | −1.14114 | + | 1.97651i | ||||
\(250\) | −0.410069 | − | 1.35346i | −0.0259350 | − | 0.0856001i | ||||
\(251\) | − | 11.8507i | − | 0.748011i | −0.927426 | − | 0.374006i | \(-0.877984\pi\) | ||
0.927426 | − | 0.374006i | \(-0.122016\pi\) | |||||||
\(252\) | −18.7668 | + | 7.96096i | −1.18220 | + | 0.501494i | ||||
\(253\) | − | 1.62039i | − | 0.101873i | ||||||
\(254\) | 12.2707 | − | 3.71776i | 0.769930 | − | 0.233273i | ||||
\(255\) | 6.26653 | − | 10.8539i | 0.392425 | − | 0.679700i | ||||
\(256\) | −11.2832 | − | 11.3441i | −0.705200 | − | 0.709009i | ||||
\(257\) | 8.52403 | − | 4.92135i | 0.531714 | − | 0.306985i | −0.210000 | − | 0.977701i | \(-0.567346\pi\) |
0.741714 | + | 0.670716i | \(0.234013\pi\) | |||||||
\(258\) | −4.20490 | + | 18.0064i | −0.261786 | + | 1.12103i | ||||
\(259\) | −5.72250 | + | 30.2145i | −0.355579 | + | 1.87744i | ||||
\(260\) | 1.49090 | + | 0.736477i | 0.0924615 | + | 0.0456744i | ||||
\(261\) | 10.2700 | − | 5.92938i | 0.635697 | − | 0.367020i | ||||
\(262\) | 11.9887 | + | 11.2362i | 0.740665 | + | 0.694177i | ||||
\(263\) | −7.04488 | − | 4.06736i | −0.434406 | − | 0.250804i | 0.266816 | − | 0.963747i | \(-0.414028\pi\) |
−0.701222 | + | 0.712943i | \(0.747362\pi\) | |||||||
\(264\) | 7.75375 | + | 1.28820i | 0.477210 | + | 0.0792830i | ||||
\(265\) | 7.63323i | 0.468905i | ||||||||
\(266\) | 8.75193 | − | 0.940126i | 0.536615 | − | 0.0576428i | ||||
\(267\) | 30.7903 | 1.88433 | ||||||||
\(268\) | −1.90790 | − | 29.4124i | −0.116544 | − | 1.79665i | ||||
\(269\) | 12.5033 | − | 21.6564i | 0.762342 | − | 1.32041i | −0.179299 | − | 0.983795i | \(-0.557383\pi\) |
0.941640 | − | 0.336620i | \(-0.109284\pi\) | |||||||
\(270\) | −2.30272 | − | 2.15819i | −0.140139 | − | 0.131343i | ||||
\(271\) | 4.77233 | + | 8.26592i | 0.289898 | + | 0.502119i | 0.973785 | − | 0.227469i | \(-0.0730452\pi\) |
−0.683887 | + | 0.729588i | \(0.739712\pi\) | |||||||
\(272\) | 15.2092 | − | 11.6379i | 0.922194 | − | 0.705654i | ||||
\(273\) | 5.43563 | − | 1.90092i | 0.328980 | − | 0.115049i | ||||
\(274\) | 0.710535 | + | 0.165926i | 0.0429250 | + | 0.0100239i | ||||
\(275\) | 0.530792 | + | 0.919359i | 0.0320080 | + | 0.0554395i | ||||
\(276\) | −6.64754 | + | 4.43528i | −0.400135 | + | 0.266972i | ||||
\(277\) | −1.14340 | − | 0.660142i | −0.0687002 | − | 0.0396641i | 0.465256 | − | 0.885176i | \(-0.345962\pi\) |
−0.533957 | + | 0.845512i | \(0.679295\pi\) | |||||||
\(278\) | −12.6564 | + | 3.83462i | −0.759079 | + | 0.229985i | ||||
\(279\) | −36.8722 | −2.20748 | ||||||||
\(280\) | −4.79441 | − | 5.74575i | −0.286521 | − | 0.343374i | ||||
\(281\) | 27.6475 | 1.64931 | 0.824656 | − | 0.565634i | \(-0.191369\pi\) | ||||
0.824656 | + | 0.565634i | \(0.191369\pi\) | |||||||
\(282\) | −12.4626 | + | 3.77590i | −0.742136 | + | 0.224852i | ||||
\(283\) | 0.646465 | + | 0.373237i | 0.0384284 | + | 0.0221866i | 0.519091 | − | 0.854719i | \(-0.326271\pi\) |
−0.480663 | + | 0.876906i | \(0.659604\pi\) | |||||||
\(284\) | −11.0963 | − | 16.6311i | −0.658446 | − | 0.986872i | ||||
\(285\) | 3.07912 | + | 5.33318i | 0.182391 | + | 0.315911i | ||||
\(286\) | −1.21554 | − | 0.283857i | −0.0718766 | − | 0.0167848i | ||||
\(287\) | −17.5698 | − | 15.1255i | −1.03711 | − | 0.892829i | ||||
\(288\) | −8.96072 | − | 19.8656i | −0.528015 | − | 1.17059i | ||||
\(289\) | 2.96131 | + | 5.12914i | 0.174195 | + | 0.301714i | ||||
\(290\) | 3.17626 | + | 2.97690i | 0.186517 | + | 0.174810i | ||||
\(291\) | 7.87419 | − | 13.6385i | 0.461593 | − | 0.799503i | ||||
\(292\) | 16.2726 | − | 1.05556i | 0.952280 | − | 0.0617718i | ||||
\(293\) | 9.44068 | 0.551530 | 0.275765 | − | 0.961225i | \(-0.411069\pi\) | ||||
0.275765 | + | 0.961225i | \(0.411069\pi\) | |||||||
\(294\) | −25.8310 | − | 2.07531i | −1.50649 | − | 0.121035i | ||||
\(295\) | 3.82731i | 0.222835i | ||||||||
\(296\) | −32.4304 | − | 5.38793i | −1.88498 | − | 0.313167i | ||||
\(297\) | 2.05167 | + | 1.18453i | 0.119050 | + | 0.0687335i | ||||
\(298\) | 3.75997 | + | 3.52397i | 0.217809 | + | 0.204138i | ||||
\(299\) | 1.09907 | − | 0.634550i | 0.0635610 | − | 0.0366970i | ||||
\(300\) | 2.31875 | − | 4.69398i | 0.133873 | − | 0.271007i | ||||
\(301\) | −8.62176 | + | 10.0150i | −0.496950 | + | 0.577257i | ||||
\(302\) | −5.25006 | + | 22.4820i | −0.302107 | + | 1.29370i | ||||
\(303\) | 28.8068 | − | 16.6316i | 1.65491 | − | 0.955460i | ||||
\(304\) | 1.21569 | + | 9.33118i | 0.0697246 | + | 0.535180i | ||||
\(305\) | 6.51711 | − | 11.2880i | 0.373168 | − | 0.646347i | ||||
\(306\) | 24.9643 | − | 7.56366i | 1.42711 | − | 0.432386i | ||||
\(307\) | 10.3689i | 0.591782i | 0.955222 | + | 0.295891i | \(0.0956165\pi\) | ||||
−0.955222 | + | 0.295891i | \(0.904384\pi\) | |||||||
\(308\) | 4.48546 | + | 3.38165i | 0.255583 | + | 0.192687i | ||||
\(309\) | − | 1.76544i | − | 0.100433i | ||||||
\(310\) | −3.92475 | − | 12.9539i | −0.222911 | − | 0.735731i | ||||
\(311\) | 10.3775 | − | 17.9743i | 0.588454 | − | 1.01923i | −0.405981 | − | 0.913881i | \(-0.633070\pi\) |
0.994435 | − | 0.105350i | \(-0.0335964\pi\) | |||||||
\(312\) | 2.16264 | + | 5.76365i | 0.122435 | + | 0.326302i | ||||
\(313\) | 0.926714 | − | 0.535039i | 0.0523810 | − | 0.0302422i | −0.473581 | − | 0.880750i | \(-0.657039\pi\) |
0.525962 | + | 0.850508i | \(0.323705\pi\) | |||||||
\(314\) | −20.9733 | − | 4.89774i | −1.18359 | − | 0.276396i | ||||
\(315\) | −3.36473 | − | 9.62139i | −0.189581 | − | 0.542104i | ||||
\(316\) | −8.36555 | + | 16.9349i | −0.470599 | + | 0.952663i | ||||
\(317\) | −9.56540 | + | 5.52258i | −0.537246 | + | 0.310179i | −0.743962 | − | 0.668222i | \(-0.767056\pi\) |
0.206716 | + | 0.978401i | \(0.433722\pi\) | |||||||
\(318\) | −19.3242 | + | 20.6183i | −1.08365 | + | 1.15622i | ||||
\(319\) | −2.82997 | − | 1.63388i | −0.158448 | − | 0.0914799i | ||||
\(320\) | 6.02536 | − | 5.26261i | 0.336828 | − | 0.294189i | ||||
\(321\) | − | 19.8792i | − | 1.10955i | ||||||
\(322\) | −5.67855 | + | 0.609986i | −0.316453 | + | 0.0339932i | ||||
\(323\) | −11.2632 | −0.626704 | ||||||||
\(324\) | 0.739971 | + | 11.4075i | 0.0411095 | + | 0.633748i | ||||
\(325\) | −0.415720 | + | 0.720048i | −0.0230600 | + | 0.0399411i | ||||
\(326\) | −5.34917 | + | 5.70740i | −0.296263 | + | 0.316104i | ||||
\(327\) | 4.30631 | + | 7.45874i | 0.238139 | + | 0.412469i | ||||
\(328\) | 15.7423 | − | 19.1426i | 0.869223 | − | 1.05697i | ||||
\(329\) | −9.14398 | − | 1.73183i | −0.504124 | − | 0.0954789i | ||||
\(330\) | −0.893702 | + | 3.82705i | −0.0491967 | + | 0.210672i | ||||
\(331\) | 12.8859 | + | 22.3190i | 0.708271 | + | 1.22676i | 0.965498 | + | 0.260410i | \(0.0838578\pi\) |
−0.257227 | + | 0.966351i | \(0.582809\pi\) | |||||||
\(332\) | −15.2713 | − | 22.8884i | −0.838120 | − | 1.25616i | ||||
\(333\) | −38.7787 | − | 22.3889i | −2.12506 | − | 1.22690i | ||||
\(334\) | 4.57118 | + | 15.0874i | 0.250124 | + | 0.825548i | ||||
\(335\) | 14.7371 | 0.805174 | ||||||||
\(336\) | 1.59555 | − | 27.6575i | 0.0870443 | − | 1.50884i | ||||
\(337\) | −16.8577 | −0.918299 | −0.459149 | − | 0.888359i | \(-0.651846\pi\) | ||||
−0.459149 | + | 0.888359i | \(0.651846\pi\) | |||||||
\(338\) | 5.04742 | + | 16.6593i | 0.274543 | + | 0.906146i | ||||
\(339\) | 34.1302 | + | 19.7051i | 1.85370 | + | 1.07023i | ||||
\(340\) | 5.31451 | + | 7.96533i | 0.288220 | + | 0.431981i | ||||
\(341\) | 5.08019 | + | 8.79916i | 0.275108 | + | 0.476501i | ||||
\(342\) | −2.91466 | + | 12.4813i | −0.157607 | + | 0.674911i | ||||
\(343\) | −15.6763 | − | 9.86180i | −0.846438 | − | 0.532487i | ||||
\(344\) | −10.9116 | − | 8.97336i | −0.588313 | − | 0.483811i | ||||
\(345\) | −1.99783 | − | 3.46035i | −0.107560 | − | 0.186299i | ||||
\(346\) | 1.76177 | − | 1.87975i | 0.0947131 | − | 0.101056i | ||||
\(347\) | −17.5896 | + | 30.4662i | −0.944262 | + | 1.63551i | −0.187039 | + | 0.982352i | \(0.559889\pi\) |
−0.757223 | + | 0.653157i | \(0.773444\pi\) | |||||||
\(348\) | 1.04319 | + | 16.0820i | 0.0559210 | + | 0.862084i | ||||
\(349\) | 14.2781 | 0.764290 | 0.382145 | − | 0.924102i | \(-0.375185\pi\) | ||||
0.382145 | + | 0.924102i | \(0.375185\pi\) | |||||||
\(350\) | 3.02202 | − | 2.20621i | 0.161534 | − | 0.117927i | ||||
\(351\) | 1.85546i | 0.0990374i | ||||||||
\(352\) | −3.50613 | + | 4.87544i | −0.186877 | + | 0.259862i | ||||
\(353\) | −21.0137 | − | 12.1322i | −1.11844 | − | 0.645734i | −0.177441 | − | 0.984132i | \(-0.556782\pi\) |
−0.941003 | + | 0.338398i | \(0.890115\pi\) | |||||||
\(354\) | −9.68917 | + | 10.3380i | −0.514973 | + | 0.549461i | ||||
\(355\) | 8.65723 | − | 4.99825i | 0.459478 | − | 0.265280i | ||||
\(356\) | −10.4188 | + | 21.0914i | −0.552195 | + | 1.11784i | ||||
\(357\) | 32.5801 | + | 6.17054i | 1.72432 | + | 0.326580i | ||||
\(358\) | 3.53698 | + | 0.825963i | 0.186935 | + | 0.0436535i | ||||
\(359\) | −7.32290 | + | 4.22788i | −0.386488 | + | 0.223139i | −0.680637 | − | 0.732620i | \(-0.738297\pi\) |
0.294149 | + | 0.955759i | \(0.404964\pi\) | |||||||
\(360\) | 10.2020 | − | 3.82800i | 0.537693 | − | 0.201753i | ||||
\(361\) | −6.73285 | + | 11.6616i | −0.354361 | + | 0.613771i | ||||
\(362\) | −4.83816 | − | 15.9686i | −0.254288 | − | 0.839292i | ||||
\(363\) | 25.8449i | 1.35651i | ||||||||
\(364\) | −0.537173 | + | 4.36665i | −0.0281555 | + | 0.228875i | ||||
\(365\) | 8.15339i | 0.426768i | ||||||||
\(366\) | 46.1800 | − | 13.9916i | 2.41387 | − | 0.731351i | ||||
\(367\) | −11.3411 | + | 19.6433i | −0.592000 | + | 1.02537i | 0.401963 | + | 0.915656i | \(0.368328\pi\) |
−0.993963 | + | 0.109718i | \(0.965005\pi\) | |||||||
\(368\) | −0.788782 | − | 6.05439i | −0.0411181 | − | 0.315607i | ||||
\(369\) | 29.2351 | − | 16.8789i | 1.52192 | − | 0.878680i | ||||
\(370\) | 3.73794 | − | 16.0068i | 0.194326 | − | 0.832153i | ||||
\(371\) | −19.0635 | + | 6.66677i | −0.989728 | + | 0.346122i | ||||
\(372\) | 22.1926 | − | 44.9259i | 1.15063 | − | 2.32930i | ||||
\(373\) | 17.9804 | − | 10.3810i | 0.930992 | − | 0.537508i | 0.0438667 | − | 0.999037i | \(-0.486032\pi\) |
0.887125 | + | 0.461529i | \(0.152699\pi\) | |||||||
\(374\) | −5.24453 | − | 4.91536i | −0.271188 | − | 0.254167i | ||||
\(375\) | 2.26702 | + | 1.30886i | 0.117068 | + | 0.0675895i | ||||
\(376\) | 1.63058 | − | 9.81457i | 0.0840906 | − | 0.506148i | ||||
\(377\) | − | 2.55934i | − | 0.131812i | ||||||
\(378\) | 3.37877 | − | 7.63585i | 0.173785 | − | 0.392746i | ||||
\(379\) | −12.4789 | −0.640997 | −0.320498 | − | 0.947249i | \(-0.603850\pi\) | ||||
−0.320498 | + | 0.947249i | \(0.603850\pi\) | |||||||
\(380\) | −4.69515 | + | 0.304561i | −0.240856 | + | 0.0156237i | ||||
\(381\) | −11.8664 | + | 20.5532i | −0.607934 | + | 1.05297i | ||||
\(382\) | −1.60427 | − | 1.50358i | −0.0820817 | − | 0.0769298i | ||||
\(383\) | 2.86705 | + | 4.96588i | 0.146499 | + | 0.253744i | 0.929931 | − | 0.367733i | \(-0.119866\pi\) |
−0.783432 | + | 0.621478i | \(0.786533\pi\) | |||||||
\(384\) | 29.5980 | + | 1.03877i | 1.51042 | + | 0.0530097i | ||||
\(385\) | −1.83245 | + | 2.12858i | −0.0933905 | + | 0.108482i | ||||
\(386\) | 4.03178 | + | 0.941509i | 0.205212 | + | 0.0479216i | ||||
\(387\) | −9.62123 | − | 16.6645i | −0.489075 | − | 0.847102i | ||||
\(388\) | 6.67793 | + | 10.0088i | 0.339021 | + | 0.508121i | ||||
\(389\) | −10.6658 | − | 6.15789i | −0.540776 | − | 0.312217i | 0.204617 | − | 0.978842i | \(-0.434405\pi\) |
−0.745393 | + | 0.666625i | \(0.767738\pi\) | |||||||
\(390\) | −2.94578 | + | 0.892509i | −0.149165 | + | 0.0451939i | ||||
\(391\) | 7.30797 | 0.369580 | ||||||||
\(392\) | 10.1623 | − | 16.9920i | 0.513271 | − | 0.858226i | ||||
\(393\) | −30.4143 | −1.53420 | ||||||||
\(394\) | 11.2740 | − | 3.41579i | 0.567976 | − | 0.172085i | ||||
\(395\) | −8.17894 | − | 4.72211i | −0.411527 | − | 0.237595i | ||||
\(396\) | −6.80408 | + | 4.53972i | −0.341918 | + | 0.228129i | ||||
\(397\) | 4.71322 | + | 8.16353i | 0.236550 | + | 0.409716i | 0.959722 | − | 0.280952i | \(-0.0906501\pi\) |
−0.723172 | + | 0.690668i | \(0.757317\pi\) | |||||||
\(398\) | −22.5105 | − | 5.25671i | −1.12835 | − | 0.263495i | ||||
\(399\) | −10.6300 | + | 12.3478i | −0.532167 | + | 0.618165i | ||||
\(400\) | 2.43077 | + | 3.17669i | 0.121538 | + | 0.158834i | ||||
\(401\) | −4.36749 | − | 7.56471i | −0.218102 | − | 0.377764i | 0.736126 | − | 0.676845i | \(-0.236653\pi\) |
−0.954228 | + | 0.299081i | \(0.903320\pi\) | |||||||
\(402\) | 39.8068 | + | 37.3083i | 1.98538 | + | 1.86077i | ||||
\(403\) | −3.97884 | + | 6.89155i | −0.198200 | + | 0.343293i | ||||
\(404\) | 1.64506 | + | 25.3605i | 0.0818450 | + | 1.26173i | ||||
\(405\) | −5.71572 | −0.284016 | ||||||||
\(406\) | −4.66051 | + | 10.5325i | −0.231297 | + | 0.522719i | ||||
\(407\) | 12.3388i | 0.611613i | ||||||||
\(408\) | −5.80978 | + | 34.9695i | −0.287627 | + | 1.73125i | ||||
\(409\) | −1.47110 | − | 0.849342i | −0.0727414 | − | 0.0419973i | 0.463188 | − | 0.886260i | \(-0.346705\pi\) |
−0.535930 | + | 0.844263i | \(0.680039\pi\) | |||||||
\(410\) | 9.04171 | + | 8.47421i | 0.446538 | + | 0.418511i | ||||
\(411\) | −1.16965 | + | 0.675297i | −0.0576945 | + | 0.0333100i | ||||
\(412\) | 1.20933 | + | 0.597390i | 0.0595796 | + | 0.0294313i | ||||
\(413\) | −9.55846 | + | 3.34273i | −0.470341 | + | 0.164485i | ||||
\(414\) | 1.89113 | − | 8.09829i | 0.0929440 | − | 0.398009i | ||||
\(415\) | 11.9145 | − | 6.87882i | 0.584858 | − | 0.337668i | ||||
\(416\) | −4.67990 | − | 0.468886i | −0.229451 | − | 0.0229890i | ||||
\(417\) | 12.2394 | − | 21.1992i | 0.599366 | − | 1.03813i | ||||
\(418\) | 3.38010 | − | 1.02410i | 0.165326 | − | 0.0500904i | ||||
\(419\) | − | 31.2350i | − | 1.52593i | −0.646441 | − | 0.762964i | \(-0.723743\pi\) | ||
0.646441 | − | 0.762964i | \(-0.276257\pi\) | |||||||
\(420\) | 13.7481 | + | 1.69125i | 0.670838 | + | 0.0825246i | ||||
\(421\) | − | 5.19927i | − | 0.253397i | −0.991941 | − | 0.126698i | \(-0.959562\pi\) | ||
0.991941 | − | 0.126698i | \(-0.0404380\pi\) | |||||||
\(422\) | −4.90890 | − | 16.2021i | −0.238962 | − | 0.788707i | ||||
\(423\) | 6.77567 | − | 11.7358i | 0.329444 | − | 0.570614i | ||||
\(424\) | −7.58467 | − | 20.2139i | −0.368344 | − | 0.981674i | ||||
\(425\) | −4.14632 | + | 2.39388i | −0.201126 | + | 0.116120i | ||||
\(426\) | 36.0378 | + | 8.41562i | 1.74604 | + | 0.407738i | ||||
\(427\) | 33.8829 | + | 6.41729i | 1.63971 | + | 0.310554i | ||||
\(428\) | 13.6173 | + | 6.72671i | 0.658217 | + | 0.325148i | ||||
\(429\) | 2.00097 | − | 1.15526i | 0.0966078 | − | 0.0557766i | ||||
\(430\) | 4.83043 | − | 5.15392i | 0.232944 | − | 0.248544i | ||||
\(431\) | −6.96178 | − | 4.01939i | −0.335337 | − | 0.193607i | 0.322871 | − | 0.946443i | \(-0.395352\pi\) |
−0.658208 | + | 0.752836i | \(0.728685\pi\) | |||||||
\(432\) | 8.24241 | + | 3.42713i | 0.396563 | + | 0.164888i | ||||
\(433\) | − | 1.55972i | − | 0.0749554i | −0.999297 | − | 0.0374777i | \(-0.988068\pi\) | ||
0.999297 | − | 0.0374777i | \(-0.0119323\pi\) | |||||||
\(434\) | 28.9237 | − | 21.1156i | 1.38838 | − | 1.01358i | ||||
\(435\) | −8.05788 | −0.386346 | ||||||||
\(436\) | −6.56642 | + | 0.425945i | −0.314474 | + | 0.0203991i | ||||
\(437\) | −1.79542 | + | 3.10976i | −0.0858866 | + | 0.148760i | ||||
\(438\) | −20.6410 | + | 22.0233i | −0.986266 | + | 1.05231i | ||||
\(439\) | 14.5960 | + | 25.2810i | 0.696628 | + | 1.20659i | 0.969629 | + | 0.244581i | \(0.0786505\pi\) |
−0.273001 | + | 0.962014i | \(0.588016\pi\) | |||||||
\(440\) | −2.31913 | − | 1.90718i | −0.110560 | − | 0.0909214i | ||||
\(441\) | 21.0901 | − | 16.8064i | 1.00429 | − | 0.800306i | ||||
\(442\) | 1.28020 | − | 5.48211i | 0.0608927 | − | 0.260758i | ||||
\(443\) | 0.172721 | + | 0.299162i | 0.00820624 | + | 0.0142136i | 0.870099 | − | 0.492876i | \(-0.164055\pi\) |
−0.861893 | + | 0.507090i | \(0.830721\pi\) | |||||||
\(444\) | 50.6192 | − | 33.7734i | 2.40228 | − | 1.60281i | ||||
\(445\) | −10.1864 | − | 5.88110i | −0.482880 | − | 0.278791i | ||||
\(446\) | −10.8668 | − | 35.8666i | −0.514559 | − | 1.69833i | ||||
\(447\) | −9.53869 | −0.451164 | ||||||||
\(448\) | 18.4055 | + | 10.4517i | 0.869579 | + | 0.493795i | ||||
\(449\) | 31.8546 | 1.50331 | 0.751656 | − | 0.659555i | \(-0.229255\pi\) | ||||
0.751656 | + | 0.659555i | \(0.229255\pi\) | |||||||
\(450\) | 1.57979 | + | 5.21420i | 0.0744721 | + | 0.245800i | ||||
\(451\) | −8.05594 | − | 4.65110i | −0.379339 | − | 0.219012i | ||||
\(452\) | −25.0470 | + | 16.7115i | −1.17811 | + | 0.786041i | ||||
\(453\) | −21.3671 | − | 37.0089i | −1.00391 | − | 1.73883i | ||||
\(454\) | −3.15593 | + | 13.5145i | −0.148115 | + | 0.634265i | ||||
\(455\) | −2.16136 | − | 0.409353i | −0.101326 | − | 0.0191907i | ||||
\(456\) | −13.4532 | − | 11.0635i | −0.630004 | − | 0.518097i | ||||
\(457\) | −8.96314 | − | 15.5246i | −0.419278 | − | 0.726211i | 0.576589 | − | 0.817034i | \(-0.304383\pi\) |
−0.995867 | + | 0.0908235i | \(0.971050\pi\) | |||||||
\(458\) | −19.7188 | + | 21.0394i | −0.921401 | + | 0.983106i | ||||
\(459\) | −5.34225 | + | 9.25304i | −0.249355 | + | 0.431895i | ||||
\(460\) | 3.04637 | − | 0.197610i | 0.142038 | − | 0.00921361i | ||||
\(461\) | 7.34814 | 0.342237 | 0.171119 | − | 0.985250i | \(-0.445262\pi\) | ||||
0.171119 | + | 0.985250i | \(0.445262\pi\) | |||||||
\(462\) | −10.3384 | + | 1.11054i | −0.480985 | + | 0.0516670i | ||||
\(463\) | − | 38.4082i | − | 1.78498i | −0.451069 | − | 0.892489i | \(-0.648957\pi\) | ||
0.451069 | − | 0.892489i | \(-0.351043\pi\) | |||||||
\(464\) | −11.3692 | − | 4.72721i | −0.527801 | − | 0.219455i | ||||
\(465\) | 21.6976 | + | 12.5271i | 1.00620 | + | 0.580930i | ||||
\(466\) | 18.1818 | − | 19.3995i | 0.842258 | − | 0.898663i | ||||
\(467\) | 1.63140 | − | 0.941892i | 0.0754924 | − | 0.0435855i | −0.461779 | − | 0.886995i | \(-0.652789\pi\) |
0.537271 | + | 0.843410i | \(0.319455\pi\) | |||||||
\(468\) | −5.74369 | − | 2.83728i | −0.265502 | − | 0.131153i | ||||
\(469\) | 12.8712 | + | 36.8050i | 0.594338 | + | 1.69950i | ||||
\(470\) | 4.84422 | + | 1.13123i | 0.223447 | + | 0.0521799i | ||||
\(471\) | 34.5253 | − | 19.9332i | 1.59084 | − | 0.918474i | ||||
\(472\) | −3.80297 | − | 10.1353i | −0.175046 | − | 0.466514i | ||||
\(473\) | −2.65120 | + | 4.59201i | −0.121902 | + | 0.211141i | ||||
\(474\) | −10.1379 | − | 33.4607i | −0.465649 | − | 1.53690i | ||||
\(475\) | − | 2.35251i | − | 0.107941i | ||||||
\(476\) | −15.2513 | + | 20.2295i | −0.699041 | + | 0.927217i | ||||
\(477\) | − | 29.4070i | − | 1.34646i | ||||||
\(478\) | 23.9257 | − | 7.24898i | 1.09433 | − | 0.331560i | ||||
\(479\) | 2.87010 | − | 4.97116i | 0.131138 | − | 0.227138i | −0.792977 | − | 0.609251i | \(-0.791470\pi\) |
0.924116 | + | 0.382113i | \(0.124803\pi\) | |||||||
\(480\) | −1.47625 | + | 14.7343i | −0.0673815 | + | 0.672528i | ||||
\(481\) | −8.36914 | + | 4.83192i | −0.381600 | + | 0.220317i | ||||
\(482\) | 1.08246 | − | 4.63538i | 0.0493049 | − | 0.211136i | ||||
\(483\) | 6.89712 | − | 8.01170i | 0.313830 | − | 0.364545i | ||||
\(484\) | −17.7038 | − | 8.74539i | −0.804720 | − | 0.397518i | ||||
\(485\) | −5.21005 | + | 3.00802i | −0.236576 | + | 0.136587i | ||||
\(486\) | −22.3470 | − | 20.9444i | −1.01368 | − | 0.950058i | ||||
\(487\) | 8.46493 | + | 4.88723i | 0.383583 | + | 0.221461i | 0.679376 | − | 0.733790i | \(-0.262251\pi\) |
−0.295793 | + | 0.955252i | \(0.595584\pi\) | |||||||
\(488\) | −6.04209 | + | 36.3678i | −0.273513 | + | 1.64629i | ||||
\(489\) | − | 14.4791i | − | 0.654769i | ||||||
\(490\) | 8.14928 | + | 5.62043i | 0.368147 | + | 0.253905i | ||||
\(491\) | −6.81442 | −0.307530 | −0.153765 | − | 0.988107i | \(-0.549140\pi\) | ||||
−0.153765 | + | 0.988107i | \(0.549140\pi\) | |||||||
\(492\) | 2.96961 | + | 45.7798i | 0.133880 | + | 2.06391i | ||||
\(493\) | 7.36883 | − | 12.7632i | 0.331875 | − | 0.574825i | ||||
\(494\) | 2.01828 | + | 1.89160i | 0.0908069 | + | 0.0851073i | ||||
\(495\) | −2.04488 | − | 3.54184i | −0.0919105 | − | 0.159194i | ||||
\(496\) | 23.2648 | + | 30.4040i | 1.04462 | + | 1.36518i | ||||
\(497\) | 20.0440 | + | 17.2555i | 0.899094 | + | 0.774013i | ||||
\(498\) | 49.5968 | + | 11.5820i | 2.22249 | + | 0.519000i | ||||
\(499\) | −10.3761 | − | 17.9719i | −0.464497 | − | 0.804532i | 0.534682 | − | 0.845053i | \(-0.320431\pi\) |
−0.999179 | + | 0.0405216i | \(0.987098\pi\) | |||||||
\(500\) | −1.66369 | + | 1.11002i | −0.0744023 | + | 0.0496416i | ||||
\(501\) | −25.2713 | − | 14.5904i | −1.12904 | − | 0.651850i | ||||
\(502\) | −16.0394 | + | 4.85961i | −0.715875 | + | 0.216895i | ||||
\(503\) | −15.9862 | −0.712789 | −0.356395 | − | 0.934336i | \(-0.615994\pi\) | ||||
−0.356395 | + | 0.934336i | \(0.615994\pi\) | |||||||
\(504\) | 18.4705 | + | 22.1355i | 0.822742 | + | 0.985994i | ||||
\(505\) | −12.7069 | −0.565449 | ||||||||
\(506\) | −2.19313 | + | 0.664472i | −0.0974964 | + | 0.0295394i | ||||
\(507\) | −27.9041 | − | 16.1104i | −1.23926 | − | 0.715489i | ||||
\(508\) | −10.0636 | − | 15.0833i | −0.446502 | − | 0.669212i | ||||
\(509\) | 4.40064 | + | 7.62213i | 0.195055 | + | 0.337845i | 0.946919 | − | 0.321474i | \(-0.104178\pi\) |
−0.751864 | + | 0.659319i | \(0.770845\pi\) | |||||||
\(510\) | −17.2600 | − | 4.03060i | −0.764287 | − | 0.178478i | ||||
\(511\) | −20.3626 | + | 7.12108i | −0.900787 | + | 0.315018i | ||||
\(512\) | −10.7269 | + | 19.9232i | −0.474067 | + | 0.880489i | ||||
\(513\) | −2.62496 | − | 4.54657i | −0.115895 | − | 0.200736i | ||||
\(514\) | −10.1563 | − | 9.51880i | −0.447974 | − | 0.419856i | ||||
\(515\) | −0.337209 | + | 0.584063i | −0.0148592 | + | 0.0257369i | ||||
\(516\) | 26.0952 | − | 1.69272i | 1.14878 | − | 0.0745180i | ||||
\(517\) | −3.73417 | −0.164228 | ||||||||
\(518\) | 43.2406 | − | 4.64487i | 1.89988 | − | 0.204084i | ||||
\(519\) | 4.76875i | 0.209325i | ||||||||
\(520\) | 0.385419 | − | 2.31987i | 0.0169018 | − | 0.101733i | ||||
\(521\) | −18.9597 | − | 10.9464i | −0.830641 | − | 0.479571i | 0.0234312 | − | 0.999725i | \(-0.492541\pi\) |
−0.854072 | + | 0.520155i | \(0.825874\pi\) | |||||||
\(522\) | −12.2366 | − | 11.4685i | −0.535580 | − | 0.501964i | ||||
\(523\) | −2.23839 | + | 1.29233i | −0.0978779 | + | 0.0565099i | −0.548140 | − | 0.836387i | \(-0.684664\pi\) |
0.450262 | + | 0.892896i | \(0.351331\pi\) | |||||||
\(524\) | 10.2916 | − | 20.8338i | 0.449588 | − | 0.910130i | ||||
\(525\) | −1.28882 | + | 6.80489i | −0.0562486 | + | 0.296990i | ||||
\(526\) | −2.61611 | + | 11.2028i | −0.114068 | + | 0.488467i | ||||
\(527\) | −39.6843 | + | 22.9117i | −1.72867 | + | 0.998050i | ||||
\(528\) | −1.43606 | − | 11.0226i | −0.0624963 | − | 0.479698i | ||||
\(529\) | −10.3351 | + | 17.9009i | −0.449351 | + | 0.778299i | ||||
\(530\) | 10.3312 | − | 3.13015i | 0.448760 | − | 0.135965i | ||||
\(531\) | − | 14.7447i | − | 0.639867i | ||||||
\(532\) | −4.86131 | − | 11.4598i | −0.210765 | − | 0.496847i | ||||
\(533\) | − | 7.28554i | − | 0.315572i | ||||||
\(534\) | −12.6261 | − | 41.6733i | −0.546386 | − | 1.80338i | ||||
\(535\) | −3.79703 | + | 6.57665i | −0.164160 | + | 0.284334i | ||||
\(536\) | −39.0260 | + | 14.6434i | −1.68567 | + | 0.632497i | ||||
\(537\) | −5.82241 | + | 3.36157i | −0.251255 | + | 0.145062i | ||||
\(538\) | −34.4382 | − | 8.04210i | −1.48474 | − | 0.346719i | ||||
\(539\) | −6.91644 | − | 2.71736i | −0.297912 | − | 0.117045i | ||||
\(540\) | −1.97674 | + | 4.00164i | −0.0850654 | + | 0.172203i | ||||
\(541\) | −19.9482 | + | 11.5171i | −0.857639 | + | 0.495158i | −0.863221 | − | 0.504826i | \(-0.831556\pi\) |
0.00558207 | + | 0.999984i | \(0.498223\pi\) | |||||||
\(542\) | 9.23057 | − | 9.84873i | 0.396487 | − | 0.423039i | ||||
\(543\) | 26.7472 | + | 15.4425i | 1.14783 | + | 0.662702i | ||||
\(544\) | −21.9883 | − | 15.8127i | −0.942739 | − | 0.677962i | ||||
\(545\) | − | 3.29011i | − | 0.140933i | ||||||
\(546\) | −4.80179 | − | 6.57738i | −0.205498 | − | 0.281486i | ||||
\(547\) | 7.90194 | 0.337863 | 0.168931 | − | 0.985628i | \(-0.445968\pi\) | ||||
0.168931 | + | 0.985628i | \(0.445968\pi\) | |||||||
\(548\) | −0.0667950 | − | 1.02972i | −0.00285334 | − | 0.0439874i | ||||
\(549\) | −25.1072 | + | 43.4869i | −1.07155 | + | 1.85598i | ||||
\(550\) | 1.02665 | − | 1.09540i | 0.0437766 | − | 0.0467082i | ||||
\(551\) | 3.62074 | + | 6.27131i | 0.154249 | + | 0.267167i | ||||
\(552\) | 8.72890 | + | 7.17839i | 0.371527 | + | 0.305533i | ||||
\(553\) | 4.64978 | − | 24.5506i | 0.197729 | − | 1.04400i | ||||
\(554\) | −0.424601 | + | 1.81824i | −0.0180396 | + | 0.0772498i | ||||
\(555\) | 15.2130 | + | 26.3496i | 0.645754 | + | 1.11848i | ||||
\(556\) | 10.3800 | + | 15.5574i | 0.440209 | + | 0.659780i | ||||
\(557\) | −3.75347 | − | 2.16707i | −0.159040 | − | 0.0918216i | 0.418368 | − | 0.908278i | \(-0.362602\pi\) |
−0.577408 | + | 0.816456i | \(0.695936\pi\) | |||||||
\(558\) | 15.1201 | + | 49.9049i | 0.640086 | + | 2.11264i | ||||
\(559\) | −4.15287 | −0.175648 | ||||||||
\(560\) | −5.81058 | + | 8.84518i | −0.245542 | + | 0.373777i | ||||
\(561\) | 13.3049 | 0.561733 | ||||||||
\(562\) | −11.3374 | − | 37.4197i | −0.478239 | − | 1.57845i | ||||
\(563\) | −15.5194 | − | 8.96012i | −0.654064 | − | 0.377624i | 0.135948 | − | 0.990716i | \(-0.456592\pi\) |
−0.790011 | + | 0.613092i | \(0.789925\pi\) | |||||||
\(564\) | 10.2210 | + | 15.3192i | 0.430383 | + | 0.645053i | ||||
\(565\) | −7.52754 | − | 13.0381i | −0.316686 | − | 0.548517i | ||||
\(566\) | 0.240065 | − | 1.02802i | 0.0100907 | − | 0.0432107i | ||||
\(567\) | −4.99204 | − | 14.2746i | −0.209646 | − | 0.599479i | ||||
\(568\) | −17.9592 | + | 21.8383i | −0.753549 | + | 0.916314i | ||||
\(569\) | 2.80014 | + | 4.84999i | 0.117388 | + | 0.203322i | 0.918732 | − | 0.394882i | \(-0.129215\pi\) |
−0.801344 | + | 0.598204i | \(0.795881\pi\) | |||||||
\(570\) | 5.95558 | − | 6.35442i | 0.249452 | − | 0.266157i | ||||
\(571\) | 11.5275 | − | 19.9663i | 0.482412 | − | 0.835562i | −0.517384 | − | 0.855753i | \(-0.673094\pi\) |
0.999796 | + | 0.0201912i | \(0.00642748\pi\) | |||||||
\(572\) | 0.114269 | + | 1.76159i | 0.00477784 | + | 0.0736556i | ||||
\(573\) | 4.06989 | 0.170022 | ||||||||
\(574\) | −13.2669 | + | 29.9824i | −0.553748 | + | 1.25144i | ||||
\(575\) | 1.52639i | 0.0636548i | ||||||||
\(576\) | −23.2127 | + | 20.2742i | −0.967197 | + | 0.844759i | ||||
\(577\) | −1.95920 | − | 1.13114i | −0.0815624 | − | 0.0470900i | 0.458664 | − | 0.888610i | \(-0.348328\pi\) |
−0.540227 | + | 0.841520i | \(0.681661\pi\) | |||||||
\(578\) | 5.72773 | − | 6.11130i | 0.238242 | − | 0.254197i | ||||
\(579\) | −6.63692 | + | 3.83183i | −0.275821 | + | 0.159245i | ||||
\(580\) | 2.72662 | − | 5.51967i | 0.113217 | − | 0.229192i | ||||
\(581\) | 27.5854 | + | 23.7478i | 1.14443 | + | 0.985223i | ||||
\(582\) | −21.6881 | − | 5.06465i | −0.898999 | − | 0.209936i | ||||
\(583\) | −7.01768 | + | 4.05166i | −0.290643 | + | 0.167803i | ||||
\(584\) | −8.10153 | − | 21.5914i | −0.335244 | − | 0.893457i | ||||
\(585\) | 1.60156 | − | 2.77399i | 0.0662165 | − | 0.114690i | ||||
\(586\) | −3.87133 | − | 12.7775i | −0.159923 | − | 0.527836i | ||||
\(587\) | 23.9357i | 0.987932i | 0.869481 | + | 0.493966i | \(0.164453\pi\) | ||||
−0.869481 | + | 0.493966i | \(0.835547\pi\) | |||||||
\(588\) | 7.78363 | + | 35.8121i | 0.320991 | + | 1.47687i | ||||
\(589\) | − | 22.5158i | − | 0.927746i | ||||||
\(590\) | 5.18010 | − | 1.56946i | 0.213261 | − | 0.0646137i | ||||
\(591\) | −10.9026 | + | 18.8838i | −0.448471 | + | 0.776775i | ||||
\(592\) | 6.00636 | + | 46.1025i | 0.246860 | + | 1.89480i | ||||
\(593\) | 22.7060 | − | 13.1093i | 0.932422 | − | 0.538334i | 0.0448454 | − | 0.998994i | \(-0.485720\pi\) |
0.887577 | + | 0.460660i | \(0.152387\pi\) | |||||||
\(594\) | 0.761886 | − | 3.26258i | 0.0312605 | − | 0.133865i | ||||
\(595\) | −9.59991 | − | 8.26439i | −0.393558 | − | 0.338807i | ||||
\(596\) | 3.22769 | − | 6.53402i | 0.132211 | − | 0.267644i | ||||
\(597\) | 37.0558 | − | 21.3942i | 1.51659 | − | 0.875606i | ||||
\(598\) | −1.30953 | − | 1.22734i | −0.0535507 | − | 0.0501896i | ||||
\(599\) | 21.8531 | + | 12.6169i | 0.892894 | + | 0.515513i | 0.874888 | − | 0.484325i | \(-0.160935\pi\) |
0.0180062 | + | 0.999838i | \(0.494268\pi\) | |||||||
\(600\) | −7.30394 | − | 1.21347i | −0.298182 | − | 0.0495395i | ||||
\(601\) | 36.0223i | 1.46938i | 0.678404 | + | 0.734689i | \(0.262672\pi\) | ||||
−0.678404 | + | 0.734689i | \(0.737328\pi\) | |||||||
\(602\) | 17.0904 | + | 7.56232i | 0.696554 | + | 0.308217i | ||||
\(603\) | −56.7748 | −2.31205 | ||||||||
\(604\) | 32.5813 | − | 2.11346i | 1.32572 | − | 0.0859955i | ||||
\(605\) | 4.93652 | − | 8.55030i | 0.200698 | − | 0.347619i | ||||
\(606\) | −34.3229 | − | 32.1686i | −1.39427 | − | 1.30676i | ||||
\(607\) | 14.7983 | + | 25.6315i | 0.600646 | + | 1.04035i | 0.992723 | + | 0.120417i | \(0.0384232\pi\) |
−0.392078 | + | 0.919932i | \(0.628244\pi\) | |||||||
\(608\) | 12.1308 | − | 5.47181i | 0.491970 | − | 0.221911i | ||||
\(609\) | −7.03766 | − | 20.1241i | −0.285181 | − | 0.815468i | ||||
\(610\) | −17.9502 | − | 4.19178i | −0.726783 | − | 0.169720i | ||||
\(611\) | −1.46231 | − | 2.53280i | −0.0591588 | − | 0.102466i | ||||
\(612\) | −20.4742 | − | 30.6865i | −0.827619 | − | 1.24043i | ||||
\(613\) | 36.2849 | + | 20.9491i | 1.46553 | + | 0.846126i | 0.999258 | − | 0.0385129i | \(-0.0122621\pi\) |
0.466276 | + | 0.884639i | \(0.345595\pi\) | |||||||
\(614\) | 14.0338 | − | 4.25194i | 0.566358 | − | 0.171594i | ||||
\(615\) | −22.9380 | −0.924949 | ||||||||
\(616\) | 2.73757 | − | 7.45759i | 0.110300 | − | 0.300475i | ||||
\(617\) | −27.0195 | −1.08776 | −0.543882 | − | 0.839162i | \(-0.683046\pi\) | ||||
−0.543882 | + | 0.839162i | \(0.683046\pi\) | |||||||
\(618\) | −2.38945 | + | 0.723954i | −0.0961178 | + | 0.0291217i | ||||
\(619\) | 40.2079 | + | 23.2141i | 1.61609 | + | 0.933052i | 0.987918 | + | 0.154980i | \(0.0495313\pi\) |
0.628176 | + | 0.778072i | \(0.283802\pi\) | |||||||
\(620\) | −15.9231 | + | 10.6240i | −0.639487 | + | 0.426669i | ||||
\(621\) | 1.70316 | + | 2.94997i | 0.0683456 | + | 0.118378i | ||||
\(622\) | −28.5830 | − | 6.67476i | −1.14607 | − | 0.267634i | ||||
\(623\) | 5.79103 | − | 30.5763i | 0.232013 | − | 1.22501i | ||||
\(624\) | 6.91402 | − | 5.29053i | 0.276782 | − | 0.211791i | ||||
\(625\) | −0.500000 | − | 0.866025i | −0.0200000 | − | 0.0346410i | ||||
\(626\) | −1.10417 | − | 1.03486i | −0.0441314 | − | 0.0413615i | ||||
\(627\) | −3.26874 | + | 5.66163i | −0.130541 | + | 0.226104i | ||||
\(628\) | 1.97163 | + | 30.3949i | 0.0786767 | + | 1.21289i | ||||
\(629\) | −55.6482 | −2.21884 | ||||||||
\(630\) | −11.6424 | + | 8.49945i | −0.463843 | + | 0.338626i | ||||
\(631\) | − | 23.9781i | − | 0.954555i | −0.878753 | − | 0.477277i | \(-0.841624\pi\) | ||
0.878753 | − | 0.477277i | \(-0.158376\pi\) | |||||||
\(632\) | 26.3511 | + | 4.37793i | 1.04819 | + | 0.174145i | ||||
\(633\) | 27.1383 | + | 15.6683i | 1.07865 | + | 0.622759i | ||||
\(634\) | 11.3970 | + | 10.6817i | 0.452635 | + | 0.424225i | ||||
\(635\) | 7.85154 | − | 4.53309i | 0.311579 | − | 0.179890i | ||||
\(636\) | 35.8302 | + | 17.6995i | 1.42076 | + | 0.701831i | ||||
\(637\) | −0.865375 | − | 5.75539i | −0.0342874 | − | 0.228037i | ||||
\(638\) | −1.05091 | + | 4.50024i | −0.0416058 | + | 0.178166i | ||||
\(639\) | −33.3520 | + | 19.2558i | −1.31939 | + | 0.761748i | ||||
\(640\) | −9.59352 | − | 5.99703i | −0.379217 | − | 0.237054i | ||||
\(641\) | 10.8998 | − | 18.8790i | 0.430516 | − | 0.745676i | −0.566401 | − | 0.824129i | \(-0.691665\pi\) |
0.996918 | + | 0.0784533i | \(0.0249982\pi\) | |||||||
\(642\) | −26.9056 | + | 8.15184i | −1.06188 | + | 0.321728i | ||||
\(643\) | − | 7.09006i | − | 0.279605i | −0.990179 | − | 0.139802i | \(-0.955353\pi\) | ||
0.990179 | − | 0.139802i | \(-0.0446467\pi\) | |||||||
\(644\) | 3.15419 | + | 7.43554i | 0.124292 | + | 0.293001i | ||||
\(645\) | 13.0750i | 0.514828i | ||||||||
\(646\) | 4.61870 | + | 15.2443i | 0.181721 | + | 0.599779i | ||||
\(647\) | 6.27831 | − | 10.8744i | 0.246826 | − | 0.427515i | −0.715817 | − | 0.698287i | \(-0.753946\pi\) |
0.962643 | + | 0.270772i | \(0.0872791\pi\) | |||||||
\(648\) | 15.1361 | − | 5.67936i | 0.594601 | − | 0.223106i | ||||
\(649\) | −3.51867 | + | 2.03151i | −0.138120 | + | 0.0797436i | ||||
\(650\) | 1.14503 | + | 0.267389i | 0.0449117 | + | 0.0104879i | ||||
\(651\) | −12.3352 | + | 65.1293i | −0.483455 | + | 2.55262i | ||||
\(652\) | 9.91824 | + | 4.89944i | 0.388428 | + | 0.191877i | ||||
\(653\) | 3.51459 | − | 2.02915i | 0.137537 | − | 0.0794068i | −0.429653 | − | 0.902994i | \(-0.641364\pi\) |
0.567189 | + | 0.823587i | \(0.308031\pi\) | |||||||
\(654\) | 8.32920 | − | 8.88700i | 0.325697 | − | 0.347509i | ||||
\(655\) | 10.0620 | + | 5.80928i | 0.393154 | + | 0.226987i | ||||
\(656\) | −32.3641 | − | 13.4567i | −1.26361 | − | 0.525397i | ||||
\(657\) | − | 31.4110i | − | 1.22546i | ||||||
\(658\) | 1.40570 | + | 13.0861i | 0.0548000 | + | 0.510151i | ||||
\(659\) | −15.1907 | −0.591746 | −0.295873 | − | 0.955227i | \(-0.595610\pi\) | ||||
−0.295873 | + | 0.955227i | \(0.595610\pi\) | |||||||
\(660\) | 5.54623 | − | 0.359768i | 0.215887 | − | 0.0140040i | ||||
\(661\) | −9.77442 | + | 16.9298i | −0.380181 | + | 0.658492i | −0.991088 | − | 0.133210i | \(-0.957472\pi\) |
0.610907 | + | 0.791702i | \(0.290805\pi\) | |||||||
\(662\) | 24.9237 | − | 26.5928i | 0.968685 | − | 1.03356i | ||||
\(663\) | 5.21024 | + | 9.02440i | 0.202349 | + | 0.350479i | ||||
\(664\) | −24.7162 | + | 30.0548i | −0.959174 | + | 1.16635i | ||||
\(665\) | 5.87524 | − | 2.05465i | 0.227832 | − | 0.0796761i | ||||
\(666\) | −14.4004 | + | 61.6662i | −0.558006 | + | 2.38952i | ||||
\(667\) | −2.34926 | − | 4.06904i | −0.0909637 | − | 0.157554i | ||||
\(668\) | 18.5457 | − | 12.3738i | 0.717555 | − | 0.478756i | ||||
\(669\) | 60.0760 | + | 34.6849i | 2.32267 | + | 1.34099i | ||||
\(670\) | −6.04323 | − | 19.9460i | −0.233470 | − | 0.770582i | ||||
\(671\) | 13.8369 | 0.534168 | ||||||||
\(672\) | −38.0874 | + | 9.18196i | −1.46925 | + | 0.354202i | ||||
\(673\) | −49.5831 | −1.91129 | −0.955644 | − | 0.294524i | \(-0.904839\pi\) | ||||
−0.955644 | + | 0.294524i | \(0.904839\pi\) | |||||||
\(674\) | 6.91283 | + | 22.8162i | 0.266272 | + | 0.878847i | ||||
\(675\) | −1.93265 | − | 1.11581i | −0.0743876 | − | 0.0429477i | ||||
\(676\) | 20.4778 | − | 13.6629i | 0.787609 | − | 0.525497i | ||||
\(677\) | −13.1028 | − | 22.6948i | −0.503582 | − | 0.872230i | −0.999991 | − | 0.00414150i | \(-0.998682\pi\) |
0.496409 | − | 0.868089i | \(-0.334652\pi\) | |||||||
\(678\) | 12.6742 | − | 54.2741i | 0.486751 | − | 2.08439i | ||||
\(679\) | −12.0627 | − | 10.3846i | −0.462926 | − | 0.398524i | ||||
\(680\) | 8.60141 | − | 10.4593i | 0.329849 | − | 0.401095i | ||||
\(681\) | −12.8442 | − | 22.2469i | −0.492192 | − | 0.852502i | ||||
\(682\) | 9.82604 | − | 10.4841i | 0.376259 | − | 0.401456i | ||||
\(683\) | 12.5578 | − | 21.7507i | 0.480510 | − | 0.832268i | −0.519240 | − | 0.854629i | \(-0.673785\pi\) |
0.999750 | + | 0.0223606i | \(0.00711819\pi\) | |||||||
\(684\) | 18.0881 | − | 1.17332i | 0.691615 | − | 0.0448632i | ||||
\(685\) | 0.515941 | 0.0197131 | ||||||||
\(686\) | −6.91917 | + | 25.2611i | −0.264175 | + | 0.964475i | ||||
\(687\) | − | 53.3750i | − | 2.03638i | ||||||
\(688\) | −7.67055 | + | 18.4480i | −0.292437 | + | 0.703325i | ||||
\(689\) | −5.49629 | − | 3.17329i | −0.209392 | − | 0.120893i | ||||
\(690\) | −3.86418 | + | 4.12296i | −0.147107 | + | 0.156959i | ||||
\(691\) | 2.76681 | − | 1.59742i | 0.105254 | − | 0.0607686i | −0.446449 | − | 0.894809i | \(-0.647312\pi\) |
0.551703 | + | 0.834041i | \(0.313978\pi\) | |||||||
\(692\) | −3.26660 | − | 1.61365i | −0.124178 | − | 0.0613416i | ||||
\(693\) | 7.05954 | − | 8.20036i | 0.268170 | − | 0.311506i | ||||
\(694\) | 48.4476 | + | 11.3136i | 1.83905 | + | 0.429458i | ||||
\(695\) | −8.09834 | + | 4.67558i | −0.307187 | + | 0.177355i | ||||
\(696\) | 21.3385 | − | 8.00663i | 0.808832 | − | 0.303491i | ||||
\(697\) | 20.9765 | − | 36.3324i | 0.794541 | − | 1.37619i | ||||
\(698\) | −5.85501 | − | 19.3248i | −0.221615 | − | 0.731455i | ||||
\(699\) | 49.2147i | 1.86147i | ||||||||
\(700\) | −4.22525 | − | 3.18547i | −0.159700 | − | 0.120400i | ||||
\(701\) | − | 44.9260i | − | 1.69683i | −0.529331 | − | 0.848416i | \(-0.677557\pi\) | ||
0.529331 | − | 0.848416i | \(-0.322443\pi\) | |||||||
\(702\) | 2.51129 | − | 0.760868i | 0.0947825 | − | 0.0287171i | ||||
\(703\) | 13.6716 | − | 23.6800i | 0.515635 | − | 0.893107i | ||||
\(704\) | 8.03644 | + | 2.74612i | 0.302885 | + | 0.103498i | ||||
\(705\) | −7.97433 | + | 4.60398i | −0.300331 | + | 0.173396i | ||||
\(706\) | −7.80341 | + | 33.4161i | −0.293685 | + | 1.25763i | ||||
\(707\) | −11.0980 | − | 31.7346i | −0.417385 | − | 1.19350i | ||||
\(708\) | 17.9653 | + | 8.87455i | 0.675178 | + | 0.333526i | ||||
\(709\) | −10.4928 | + | 6.05803i | −0.394066 | + | 0.227514i | −0.683920 | − | 0.729557i | \(-0.739726\pi\) |
0.289855 | + | 0.957071i | \(0.406393\pi\) | |||||||
\(710\) | −10.3150 | − | 9.66755i | −0.387114 | − | 0.362817i | ||||
\(711\) | 31.5094 | + | 18.1920i | 1.18169 | + | 0.682252i | ||||
\(712\) | 32.8187 | + | 5.45245i | 1.22993 | + | 0.204339i | ||||
\(713\) | 14.6090i | 0.547111i | ||||||||
\(714\) | −5.00854 | − | 46.6261i | −0.187440 | − | 1.74494i | ||||
\(715\) | −0.882644 | −0.0330090 | ||||||||
\(716\) | −0.332499 | − | 5.12584i | −0.0124261 | − | 0.191562i | ||||
\(717\) | −23.1374 | + | 40.0751i | −0.864082 | + | 1.49663i | ||||
\(718\) | 8.72515 | + | 8.17751i | 0.325620 | + | 0.305182i | ||||
\(719\) | 15.1586 | + | 26.2555i | 0.565321 | + | 0.979165i | 0.997020 | + | 0.0771470i | \(0.0245811\pi\) |
−0.431699 | + | 0.902018i | \(0.642086\pi\) | |||||||
\(720\) | −9.36455 | − | 12.2382i | −0.348996 | − | 0.456091i | ||||
\(721\) | −1.75318 | − | 0.332044i | −0.0652917 | − | 0.0123660i | ||||
\(722\) | 18.5445 | + | 4.33054i | 0.690153 | + | 0.161166i | ||||
\(723\) | 4.40550 | + | 7.63055i | 0.163842 | + | 0.283783i | ||||
\(724\) | −19.6289 | + | 13.0965i | −0.729501 | + | 0.486727i | ||||
\(725\) | 2.66580 | + | 1.53910i | 0.0990052 | + | 0.0571607i | ||||
\(726\) | 34.9800 | − | 10.5982i | 1.29823 | − | 0.393336i | ||||
\(727\) | 9.03069 | 0.334930 | 0.167465 | − | 0.985878i | \(-0.446442\pi\) | ||||
0.167465 | + | 0.985878i | \(0.446442\pi\) | |||||||
\(728\) | 6.13035 | − | 1.06359i | 0.227206 | − | 0.0394192i | ||||
\(729\) | 39.5452 | 1.46464 | ||||||||
\(730\) | 11.0353 | − | 3.34345i | 0.408433 | − | 0.123747i | ||||
\(731\) | −20.7100 | − | 11.9569i | −0.765987 | − | 0.442243i | ||||
\(732\) | −37.8739 | − | 56.7651i | −1.39986 | − | 2.09810i | ||||
\(733\) | 4.94704 | + | 8.56852i | 0.182723 | + | 0.316486i | 0.942807 | − | 0.333339i | \(-0.108175\pi\) |
−0.760084 | + | 0.649825i | \(0.774842\pi\) | |||||||
\(734\) | 31.2370 | + | 7.29454i | 1.15298 | + | 0.269246i | ||||
\(735\) | −18.1204 | + | 2.72457i | −0.668382 | + | 0.100497i | ||||
\(736\) | −7.87089 | + | 3.55030i | −0.290125 | + | 0.130866i | ||||
\(737\) | 7.82234 | + | 13.5487i | 0.288140 | + | 0.499073i | ||||
\(738\) | −34.8332 | − | 32.6469i | −1.28223 | − | 1.20175i | ||||
\(739\) | 16.4166 | − | 28.4344i | 0.603894 | − | 1.04598i | −0.388331 | − | 0.921520i | \(-0.626948\pi\) |
0.992225 | − | 0.124455i | \(-0.0397183\pi\) | |||||||
\(740\) | −23.1973 | + | 1.50474i | −0.852750 | + | 0.0553155i | ||||
\(741\) | −5.12020 | −0.188095 | ||||||||
\(742\) | 16.8405 | + | 23.0678i | 0.618236 | + | 0.846845i | ||||
\(743\) | 51.2689i | 1.88088i | 0.339966 | + | 0.940438i | \(0.389584\pi\) | ||||
−0.339966 | + | 0.940438i | \(0.610416\pi\) | |||||||
\(744\) | −69.9057 | − | 11.6140i | −2.56287 | − | 0.425791i | ||||
\(745\) | 3.15569 | + | 1.82194i | 0.115616 | + | 0.0667507i | ||||
\(746\) | −21.4235 | − | 20.0788i | −0.784369 | − | 0.735137i | ||||
\(747\) | −45.9006 | + | 26.5007i | −1.67941 | + | 0.969610i | ||||
\(748\) | −4.50210 | + | 9.11388i | −0.164613 | + | 0.333236i | ||||
\(749\) | −19.7411 | − | 3.73888i | −0.721323 | − | 0.136616i | ||||
\(750\) | 0.841856 | − | 3.60504i | 0.0307403 | − | 0.131637i | ||||
\(751\) | −38.3610 | + | 22.1477i | −1.39981 | + | 0.808182i | −0.994373 | − | 0.105940i | \(-0.966215\pi\) |
−0.405440 | + | 0.914122i | \(0.632882\pi\) | |||||||
\(752\) | −13.9522 | + | 1.81774i | −0.508786 | + | 0.0662860i | ||||
\(753\) | 15.5110 | − | 26.8658i | 0.565252 | − | 0.979045i | ||||
\(754\) | −3.46395 | + | 1.04950i | −0.126150 | + | 0.0382207i | ||||
\(755\) | 16.3249i | 0.594124i | ||||||||
\(756\) | −11.7203 | − | 1.44180i | −0.426264 | − | 0.0524378i | ||||
\(757\) | − | 30.6126i | − | 1.11263i | −0.830970 | − | 0.556317i | \(-0.812214\pi\) | ||
0.830970 | − | 0.556317i | \(-0.187786\pi\) | |||||||
\(758\) | 5.11720 | + | 16.8896i | 0.185865 | + | 0.613458i | ||||
\(759\) | 2.12087 | − | 3.67346i | 0.0769828 | − | 0.133338i | ||||
\(760\) | 2.33755 | + | 6.22979i | 0.0847917 | + | 0.225978i | ||||
\(761\) | −15.9088 | + | 9.18496i | −0.576694 | + | 0.332955i | −0.759819 | − | 0.650135i | \(-0.774712\pi\) |
0.183124 | + | 0.983090i | \(0.441379\pi\) | |||||||
\(762\) | 32.6839 | + | 7.63242i | 1.18401 | + | 0.276493i | ||||
\(763\) | 8.21684 | − | 2.87354i | 0.297470 | − | 0.104029i | ||||
\(764\) | −1.37717 | + | 2.78788i | −0.0498241 | + | 0.100862i | ||||
\(765\) | 15.9737 | − | 9.22243i | 0.577531 | − | 0.333438i | ||||
\(766\) | 5.54541 | − | 5.91678i | 0.200364 | − | 0.213782i | ||||
\(767\) | −2.75585 | − | 1.59109i | −0.0995079 | − | 0.0574509i | ||||
\(768\) | −10.7313 | − | 40.4856i | −0.387232 | − | 1.46090i | ||||
\(769\) | − | 31.3711i | − | 1.13127i | −0.824656 | − | 0.565635i | \(-0.808631\pi\) | ||
0.824656 | − | 0.565635i | \(-0.191369\pi\) | |||||||
\(770\) | 3.63237 | + | 1.60728i | 0.130902 | + | 0.0579224i | ||||
\(771\) | 25.7655 | 0.927922 | ||||||||
\(772\) | −0.379014 | − | 5.84291i | −0.0136410 | − | 0.210291i | ||||
\(773\) | −3.23165 | + | 5.59739i | −0.116235 | + | 0.201324i | −0.918273 | − | 0.395949i | \(-0.870416\pi\) |
0.802038 | + | 0.597273i | \(0.203749\pi\) | |||||||
\(774\) | −18.6093 | + | 19.8555i | −0.668896 | + | 0.713691i | ||||
\(775\) | −4.78548 | − | 8.28870i | −0.171900 | − | 0.297739i | ||||
\(776\) | 10.8081 | − | 13.1426i | 0.387988 | − | 0.471792i | ||||
\(777\) | −52.5197 | + | 61.0069i | −1.88413 | + | 2.18861i | ||||
\(778\) | −3.96073 | + | 16.9608i | −0.141999 | + | 0.608075i | ||||
\(779\) | 10.3070 | + | 17.8522i | 0.369286 | + | 0.639623i | ||||
\(780\) | 2.41594 | + | 3.62099i | 0.0865046 | + | 0.129652i | ||||
\(781\) | 9.19038 | + | 5.30607i | 0.328858 | + | 0.189866i | ||||
\(782\) | −2.99677 | − | 9.89102i | −0.107164 | − | 0.353702i | ||||
\(783\) | 6.86939 | 0.245492 | ||||||||
\(784\) | −27.1652 | − | 6.78627i | −0.970185 | − | 0.242367i | ||||
\(785\) | −15.2294 | −0.543560 | ||||||||
\(786\) | 12.4719 | + | 41.1644i | 0.444859 | + | 1.46828i | ||||
\(787\) | −7.74289 | − | 4.47036i | −0.276004 | − | 0.159351i | 0.355609 | − | 0.934635i | \(-0.384273\pi\) |
−0.631613 | + | 0.775284i | \(0.717607\pi\) | |||||||
\(788\) | −9.24623 | − | 13.8582i | −0.329383 | − | 0.493676i | ||||
\(789\) | −10.6472 | − | 18.4416i | −0.379052 | − | 0.656538i | ||||
\(790\) | −3.03724 | + | 13.0062i | −0.108060 | + | 0.462741i | ||||
\(791\) | 25.9873 | − | 30.1869i | 0.924003 | − | 1.07332i | ||||
\(792\) | 8.93445 | + | 7.34743i | 0.317472 | + | 0.261080i | ||||
\(793\) | 5.41858 | + | 9.38526i | 0.192420 | + | 0.333280i | ||||
\(794\) | 9.11624 | − | 9.72674i | 0.323523 | − | 0.345189i | ||||
\(795\) | −9.99086 | + | 17.3047i | −0.354339 | + | 0.613734i | ||||
\(796\) | 2.11614 | + | 32.6226i | 0.0750046 | + | 1.15628i | ||||
\(797\) | −33.8447 | −1.19884 | −0.599420 | − | 0.800434i | \(-0.704602\pi\) | ||||
−0.599420 | + | 0.800434i | \(0.704602\pi\) | |||||||
\(798\) | 21.0713 | + | 9.32381i | 0.745916 | + | 0.330059i | ||||
\(799\) | − | 16.8411i | − | 0.595796i | ||||||
\(800\) | 3.30273 | − | 4.59260i | 0.116769 | − | 0.162373i | ||||
\(801\) | 39.2430 | + | 22.6570i | 1.38658 | + | 0.800545i | ||||
\(802\) | −8.44753 | + | 9.01326i | −0.298293 | + | 0.318269i | ||||
\(803\) | −7.49589 | + | 4.32776i | −0.264524 | + | 0.152723i | ||||
\(804\) | 34.1716 | − | 69.1757i | 1.20514 | − | 2.43964i | ||||
\(805\) | −3.81206 | + | 1.33313i | −0.134357 | + | 0.0469867i | ||||
\(806\) | 10.9590 | + | 2.55917i | 0.386015 | + | 0.0901431i | ||||
\(807\) | 56.6906 | − | 32.7303i | 1.99560 | − | 1.15216i | ||||
\(808\) | 33.6497 | − | 12.6261i | 1.18379 | − | 0.444183i | ||||
\(809\) | −5.94518 | + | 10.2974i | −0.209021 | + | 0.362036i | −0.951407 | − | 0.307938i | \(-0.900361\pi\) |
0.742385 | + | 0.669973i | \(0.233695\pi\) | |||||||
\(810\) | 2.34384 | + | 7.73598i | 0.0823541 | + | 0.271814i | ||||
\(811\) | − | 8.26996i | − | 0.290398i | −0.989403 | − | 0.145199i | \(-0.953618\pi\) | ||
0.989403 | − | 0.145199i | \(-0.0463822\pi\) | |||||||
\(812\) | 16.1664 | + | 1.98875i | 0.567330 | + | 0.0697914i | ||||
\(813\) | 24.9853i | 0.876274i | ||||||||
\(814\) | 16.7001 | − | 5.05977i | 0.585337 | − | 0.177345i | ||||
\(815\) | −2.76559 | + | 4.79015i | −0.0968745 | + | 0.167792i | ||||
\(816\) | 49.7121 | − | 6.47662i | 1.74027 | − | 0.226727i | ||||
\(817\) | 10.1761 | − | 5.87515i | 0.356015 | − | 0.205545i | ||||
\(818\) | −0.546293 | + | 2.33936i | −0.0191007 | + | 0.0817939i | ||||
\(819\) | 8.32665 | + | 1.57703i | 0.290957 | + | 0.0551060i | ||||
\(820\) | 7.76174 | − | 15.7126i | 0.271052 | − | 0.548707i | ||||
\(821\) | 27.5875 | − | 15.9277i | 0.962811 | − | 0.555879i | 0.0657739 | − | 0.997835i | \(-0.479048\pi\) |
0.897037 | + | 0.441955i | \(0.145715\pi\) | |||||||
\(822\) | 1.39362 | + | 1.30615i | 0.0486081 | + | 0.0455572i | ||||
\(823\) | −26.7631 | − | 15.4517i | −0.932903 | − | 0.538612i | −0.0451746 | − | 0.998979i | \(-0.514384\pi\) |
−0.887729 | + | 0.460367i | \(0.847718\pi\) | |||||||
\(824\) | 0.312631 | − | 1.88175i | 0.0108910 | − | 0.0655539i | ||||
\(825\) | 2.77894i | 0.0967503i | ||||||||
\(826\) | 8.44387 | + | 11.5662i | 0.293800 | + | 0.402440i | ||||
\(827\) | 42.4762 | 1.47704 | 0.738521 | − | 0.674230i | \(-0.235524\pi\) | ||||
0.738521 | + | 0.674230i | \(0.235524\pi\) | |||||||
\(828\) | −11.7362 | + | 0.761293i | −0.407860 | + | 0.0264568i | ||||
\(829\) | −14.1168 | + | 24.4510i | −0.490297 | + | 0.849220i | −0.999938 | − | 0.0111677i | \(-0.996445\pi\) |
0.509640 | + | 0.860388i | \(0.329778\pi\) | |||||||
\(830\) | −14.1959 | − | 13.3049i | −0.492748 | − | 0.461821i | ||||
\(831\) | −1.72807 | − | 2.99311i | −0.0599462 | − | 0.103830i | ||||
\(832\) | 1.28447 | + | 6.52632i | 0.0445309 | + | 0.226259i | ||||
\(833\) | 12.2553 | − | 31.1932i | 0.424622 | − | 1.08078i | ||||
\(834\) | −33.7112 | − | 7.87233i | −1.16733 | − | 0.272596i | ||||
\(835\) | 5.57367 | + | 9.65389i | 0.192885 | + | 0.334087i | ||||
\(836\) | −2.77215 | − | 4.15487i | −0.0958769 | − | 0.143699i | ||||
\(837\) | −18.4973 | − | 10.6794i | −0.639360 | − | 0.369134i | ||||
\(838\) | −42.2751 | + | 12.8085i | −1.46037 | + | 0.442462i | ||||
\(839\) | 13.1554 | 0.454174 | 0.227087 | − | 0.973874i | \(-0.427080\pi\) | ||||
0.227087 | + | 0.973874i | \(0.427080\pi\) | |||||||
\(840\) | −3.34863 | − | 19.3010i | −0.115539 | − | 0.665946i | ||||
\(841\) | 19.5247 | 0.673266 | ||||||||
\(842\) | −7.03698 | + | 2.13206i | −0.242510 | + | 0.0734755i | ||||
\(843\) | 62.6775 | + | 36.1869i | 2.15873 | + | 1.24634i | ||||
\(844\) | −19.9159 | + | 13.2880i | −0.685532 | + | 0.457391i | ||||
\(845\) | 6.15435 | + | 10.6597i | 0.211716 | + | 0.366703i | ||||
\(846\) | −18.6624 | − | 4.35808i | −0.641626 | − | 0.149834i | ||||
\(847\) | 25.6653 | + | 4.86091i | 0.881872 | + | 0.167023i | ||||
\(848\) | −24.2484 | + | 18.5546i | −0.832693 | + | 0.637168i | ||||
\(849\) | 0.977033 | + | 1.69227i | 0.0335317 | + | 0.0580786i | ||||
\(850\) | 4.94029 | + | 4.63021i | 0.169450 | + | 0.158815i | ||||
\(851\) | −8.87062 | + | 15.3644i | −0.304081 | + | 0.526684i | ||||
\(852\) | −3.38779 | − | 52.2265i | −0.116064 | − | 1.78925i | ||||
\(853\) | 37.8973 | 1.29758 | 0.648789 | − | 0.760968i | \(-0.275276\pi\) | ||||
0.648789 | + | 0.760968i | \(0.275276\pi\) | |||||||
\(854\) | −5.20882 | − | 48.4906i | −0.178242 | − | 1.65931i | ||||
\(855\) | 9.06305i | 0.309950i | ||||||||
\(856\) | 3.52028 | − | 21.1888i | 0.120321 | − | 0.724219i | ||||
\(857\) | 29.0059 | + | 16.7466i | 0.990822 | + | 0.572051i | 0.905520 | − | 0.424304i | \(-0.139481\pi\) |
0.0853020 | + | 0.996355i | \(0.472814\pi\) | |||||||
\(858\) | −2.38413 | − | 2.23449i | −0.0813929 | − | 0.0762843i | ||||
\(859\) | 14.2225 | − | 8.21139i | 0.485267 | − | 0.280169i | −0.237342 | − | 0.971426i | \(-0.576276\pi\) |
0.722609 | + | 0.691257i | \(0.242943\pi\) | |||||||
\(860\) | −8.95641 | − | 4.42431i | −0.305411 | − | 0.150868i | ||||
\(861\) | −20.0338 | − | 57.2862i | −0.682750 | − | 1.95231i | ||||
\(862\) | −2.58525 | + | 11.0707i | −0.0880541 | + | 0.377069i | ||||
\(863\) | 0.525428 | − | 0.303356i | 0.0178858 | − | 0.0103264i | −0.491030 | − | 0.871142i | \(-0.663380\pi\) |
0.508916 | + | 0.860816i | \(0.330046\pi\) | |||||||
\(864\) | 1.25851 | − | 12.5611i | 0.0428155 | − | 0.427337i | ||||
\(865\) | 0.910856 | − | 1.57765i | 0.0309700 | − | 0.0536417i | ||||
\(866\) | −2.11101 | + | 0.639593i | −0.0717352 | + | 0.0217343i | ||||
\(867\) | 15.5038i | 0.526537i | ||||||||
\(868\) | −40.4397 | − | 30.4881i | −1.37261 | − | 1.03483i | ||||
\(869\) | − | 10.0258i | − | 0.340103i | ||||||
\(870\) | 3.30429 | + | 10.9060i | 0.112026 | + | 0.369748i | ||||
\(871\) | −6.12651 | + | 10.6114i | −0.207589 | + | 0.359554i | ||||
\(872\) | 3.26918 | + | 8.71269i | 0.110708 | + | 0.295049i | ||||
\(873\) | 20.0717 | − | 11.5884i | 0.679325 | − | 0.392209i | ||||
\(874\) | 4.94517 | + | 1.15481i | 0.167273 | + | 0.0390619i | ||||
\(875\) | 1.72615 | − | 2.00510i | 0.0583545 | − | 0.0677846i | ||||
\(876\) | 38.2718 | + | 18.9056i | 1.29309 | + | 0.638762i | ||||
\(877\) | −30.2747 | + | 17.4791i | −1.02230 | + | 0.590227i | −0.914770 | − | 0.403974i | \(-0.867629\pi\) |
−0.107533 | + | 0.994201i | \(0.534295\pi\) | |||||||
\(878\) | 28.2313 | − | 30.1220i | 0.952761 | − | 1.01657i | ||||
\(879\) | 21.4022 | + | 12.3566i | 0.721879 | + | 0.416777i | ||||
\(880\) | −1.63029 | + | 3.92091i | −0.0549569 | + | 0.132174i | ||||
\(881\) | 5.42608i | 0.182809i | 0.995814 | + | 0.0914046i | \(0.0291357\pi\) | ||||
−0.995814 | + | 0.0914046i | \(0.970864\pi\) | |||||||
\(882\) | −31.3952 | − | 21.6527i | −1.05713 | − | 0.729085i | ||||
\(883\) | 2.94901 | 0.0992421 | 0.0496210 | − | 0.998768i | \(-0.484199\pi\) | ||||
0.0496210 | + | 0.998768i | \(0.484199\pi\) | |||||||
\(884\) | −7.94477 | + | 0.515355i | −0.267212 | + | 0.0173333i | ||||
\(885\) | −5.00943 | + | 8.67659i | −0.168390 | + | 0.291660i | ||||
\(886\) | 0.334075 | − | 0.356448i | 0.0112235 | − | 0.0119751i | ||||
\(887\) | −17.0925 | − | 29.6050i | −0.573909 | − | 0.994039i | −0.996159 | − | 0.0875599i | \(-0.972093\pi\) |
0.422251 | − | 0.906479i | \(-0.361240\pi\) | |||||||
\(888\) | −66.4682 | − | 54.6615i | −2.23053 | − | 1.83432i | ||||
\(889\) | 18.1785 | + | 15.6496i | 0.609689 | + | 0.524870i | ||||
\(890\) | −3.78270 | + | 16.1985i | −0.126796 | + | 0.542974i | ||||
\(891\) | −3.03386 | − | 5.25480i | −0.101638 | − | 0.176042i | ||||
\(892\) | −44.0877 | + | 29.4155i | −1.47616 | + | 0.984904i | ||||
\(893\) | 7.16640 | + | 4.13752i | 0.239814 | + | 0.138457i | ||||
\(894\) | 3.91152 | + | 12.9102i | 0.130821 | + | 0.431781i | ||||
\(895\) | 2.56831 | 0.0858491 | ||||||||
\(896\) | 6.59834 | − | 29.1970i | 0.220435 | − | 0.975402i | ||||
\(897\) | 3.32216 | 0.110924 | ||||||||
\(898\) | −13.0626 | − | 43.1138i | −0.435904 | − | 1.43873i | ||||
\(899\) | 25.5142 | + | 14.7307i | 0.850947 | + | 0.491295i | ||||
\(900\) | 6.40936 | − | 4.27636i | 0.213645 | − | 0.142545i | ||||
\(901\) | −18.2730 | − | 31.6498i | −0.608763 | − | 1.05441i | ||||
\(902\) | −2.99157 | + | 12.8106i | −0.0996083 | + | 0.426547i | ||||
\(903\) | −32.6540 | + | 11.4196i | −1.08666 | + | 0.380020i | ||||
\(904\) | 32.8892 | + | 27.0471i | 1.09388 | + | 0.899573i | ||||
\(905\) | −5.89920 | − | 10.2177i | −0.196096 | − | 0.339648i | ||||
\(906\) | −41.3279 | + | 44.0956i | −1.37303 | + | 1.46498i | ||||
\(907\) | −0.892664 | + | 1.54614i | −0.0296404 | + | 0.0513387i | −0.880465 | − | 0.474111i | \(-0.842770\pi\) |
0.850825 | + | 0.525450i | \(0.176103\pi\) | |||||||
\(908\) | 19.5854 | − | 1.27045i | 0.649963 | − | 0.0421613i | ||||
\(909\) | 48.9533 | 1.62368 | ||||||||
\(910\) | 0.332266 | + | 3.09317i | 0.0110145 | + | 0.102538i | ||||
\(911\) | − | 21.9749i | − | 0.728062i | −0.931387 | − | 0.364031i | \(-0.881400\pi\) | ||
0.931387 | − | 0.364031i | \(-0.118600\pi\) | |||||||
\(912\) | −9.45725 | + | 22.7451i | −0.313161 | + | 0.753167i | ||||
\(913\) | 12.6482 | + | 7.30245i | 0.418595 | + | 0.241676i | ||||
\(914\) | −17.3364 | + | 18.4974i | −0.573436 | + | 0.611839i | ||||
\(915\) | 29.5488 | − | 17.0600i | 0.976854 | − | 0.563987i | ||||
\(916\) | 36.5620 | + | 18.0610i | 1.20804 | + | 0.596752i | ||||
\(917\) | −5.72030 | + | 30.2029i | −0.188901 | + | 0.997388i | ||||
\(918\) | 14.7143 | + | 3.43611i | 0.485643 | + | 0.113409i | ||||
\(919\) | 22.0415 | − | 12.7257i | 0.727083 | − | 0.419782i | −0.0902709 | − | 0.995917i | \(-0.528773\pi\) |
0.817354 | + | 0.576136i | \(0.195440\pi\) | |||||||
\(920\) | −1.51668 | − | 4.04210i | −0.0500034 | − | 0.133264i | ||||
\(921\) | −13.5714 | + | 23.5064i | −0.447194 | + | 0.774562i | ||||
\(922\) | −3.01324 | − | 9.94539i | −0.0992359 | − | 0.327534i | ||||
\(923\) | 8.31150i | 0.273576i | ||||||||
\(924\) | 5.74251 | + | 13.5371i | 0.188915 | + | 0.445339i | ||||
\(925\) | − | 11.6230i | − | 0.382163i | ||||||
\(926\) | −51.9838 | + | 15.7500i | −1.70829 | + | 0.517577i | ||||
\(927\) | 1.29910 | − | 2.25011i | 0.0426680 | − | 0.0739032i | ||||
\(928\) | −1.73593 | + | 17.3262i | −0.0569848 | + | 0.568759i | ||||
\(929\) | −14.0070 | + | 8.08693i | −0.459554 | + | 0.265324i | −0.711857 | − | 0.702325i | \(-0.752145\pi\) |
0.252303 | + | 0.967648i | \(0.418812\pi\) | |||||||
\(930\) | 8.05738 | − | 34.5037i | 0.264212 | − | 1.13142i | ||||
\(931\) | 10.2627 | + | 12.8785i | 0.336348 | + | 0.422077i | ||||
\(932\) | −33.7121 | − | 16.6532i | −1.10428 | − | 0.545494i | ||||
\(933\) | 47.0520 | − | 27.1655i | 1.54041 | − | 0.889358i | ||||
\(934\) | −1.94380 | − | 1.82179i | −0.0636030 | − | 0.0596109i | ||||
\(935\) | −4.40167 | − | 2.54131i | −0.143950 | − | 0.0831096i | ||||
\(936\) | −1.48483 | + | 8.93731i | −0.0485332 | + | 0.292125i | ||||
\(937\) | − | 6.52678i | − | 0.213221i | −0.994301 | − | 0.106610i | \(-0.966000\pi\) | ||
0.994301 | − | 0.106610i | \(-0.0339997\pi\) | |||||||
\(938\) | 44.5359 | − | 32.5132i | 1.45415 | − | 1.06159i | ||||
\(939\) | 2.80117 | 0.0914128 | ||||||||
\(940\) | −0.455389 | − | 7.02032i | −0.0148532 | − | 0.228978i | ||||
\(941\) | 24.0737 | − | 41.6969i | 0.784780 | − | 1.35928i | −0.144351 | − | 0.989527i | \(-0.546109\pi\) |
0.929131 | − | 0.369752i | \(-0.120557\pi\) | |||||||
\(942\) | −41.1365 | − | 38.5545i | −1.34030 | − | 1.25617i | ||||
\(943\) | −6.68753 | − | 11.5831i | −0.217776 | − | 0.377199i | ||||
\(944\) | −12.1582 | + | 9.30331i | −0.395715 | + | 0.302797i | ||||
\(945\) | 1.09872 | − | 5.80120i | 0.0357415 | − | 0.188713i | ||||
\(946\) | 7.30226 | + | 1.70524i | 0.237417 | + | 0.0554422i | ||||
\(947\) | 5.11860 | + | 8.86568i | 0.166332 | + | 0.288096i | 0.937128 | − | 0.348987i | \(-0.113474\pi\) |
−0.770795 | + | 0.637083i | \(0.780141\pi\) | |||||||
\(948\) | −41.1304 | + | 27.4424i | −1.33585 | + | 0.891287i | ||||
\(949\) | −5.87083 | − | 3.38953i | −0.190575 | − | 0.110029i | ||||
\(950\) | −3.18402 | + | 0.964691i | −0.103303 | + | 0.0312987i | ||||
\(951\) | −28.9133 | −0.937577 | ||||||||
\(952\) | 33.6338 | + | 12.3465i | 1.09008 | + | 0.400151i | ||||
\(953\) | −11.8097 | −0.382553 | −0.191276 | − | 0.981536i | \(-0.561263\pi\) | ||||
−0.191276 | + | 0.981536i | \(0.561263\pi\) | |||||||
\(954\) | −39.8011 | + | 12.0589i | −1.28861 | + | 0.390422i | ||||
\(955\) | −1.34645 | − | 0.777371i | −0.0435700 | − | 0.0251551i | ||||
\(956\) | −19.6223 | − | 29.4098i | −0.634632 | − | 0.951180i | ||||
\(957\) | −4.27706 | − | 7.40809i | −0.138258 | − | 0.239470i | ||||
\(958\) | −7.90519 | − | 1.84604i | −0.255405 | − | 0.0596428i | ||||
\(959\) | 0.450617 | + | 1.28853i | 0.0145512 | + | 0.0416088i | ||||
\(960\) | 20.5477 | − | 4.04405i | 0.663173 | − | 0.130521i | ||||
\(961\) | −30.3017 | − | 52.4840i | −0.977473 | − | 1.69303i | ||||
\(962\) | 9.97172 | + | 9.34584i | 0.321501 | + | 0.301322i | ||||
\(963\) | 14.6281 | − | 25.3366i | 0.471384 | − | 0.816460i | ||||
\(964\) | −6.71767 | + | 0.435757i | −0.216362 | + | 0.0140348i | ||||
\(965\) | 2.92760 | 0.0942427 | ||||||||
\(966\) | −13.6718 | − | 6.04961i | −0.439882 | − | 0.194643i | ||||
\(967\) | − | 15.7493i | − | 0.506464i | −0.967406 | − | 0.253232i | \(-0.918506\pi\) | ||
0.967406 | − | 0.253232i | \(-0.0814935\pi\) | |||||||
\(968\) | −4.57671 | + | 27.5476i | −0.147101 | + | 0.885412i | ||||
\(969\) | −25.5340 | − | 14.7421i | −0.820270 | − | 0.473583i | ||||
\(970\) | 6.20771 | + | 5.81808i | 0.199317 | + | 0.186807i | ||||
\(971\) | 32.4559 | − | 18.7384i | 1.04156 | − | 0.601344i | 0.121284 | − | 0.992618i | \(-0.461299\pi\) |
0.920274 | + | 0.391274i | \(0.127965\pi\) | |||||||
\(972\) | −19.1835 | + | 38.8344i | −0.615312 | + | 1.24561i | ||||
\(973\) | −18.7500 | − | 16.1415i | −0.601096 | − | 0.517472i | ||||
\(974\) | 3.14345 | − | 13.4610i | 0.100723 | − | 0.431319i | ||||
\(975\) | −1.88489 | + | 1.08824i | −0.0603648 | + | 0.0348516i | ||||
\(976\) | 51.6999 | − | 6.73561i | 1.65487 | − | 0.215601i | ||||
\(977\) | −16.6883 | + | 28.9049i | −0.533905 | + | 0.924751i | 0.465310 | + | 0.885148i | \(0.345943\pi\) |
−0.999215 | + | 0.0396031i | \(0.987391\pi\) | |||||||
\(978\) | −19.5969 | + | 5.93745i | −0.626639 | + | 0.189859i | ||||
\(979\) | − | 12.4866i | − | 0.399073i | ||||||
\(980\) | 4.26523 | − | 13.3345i | 0.136248 | − | 0.425954i | ||||
\(981\) | 12.6752i | 0.404687i | ||||||||
\(982\) | 2.79438 | + | 9.22302i | 0.0891723 | + | 0.294318i | ||||
\(983\) | −28.8827 | + | 50.0263i | −0.921215 | + | 1.59559i | −0.123677 | + | 0.992323i | \(0.539469\pi\) |
−0.797538 | + | 0.603269i | \(0.793865\pi\) | |||||||
\(984\) | 60.7432 | − | 22.7921i | 1.93642 | − | 0.726585i | ||||
\(985\) | 7.21380 | − | 4.16489i | 0.229851 | − | 0.132704i | ||||
\(986\) | −20.2961 | − | 4.73960i | −0.646361 | − | 0.150940i | ||||
\(987\) | −18.4628 | − | 15.8943i | −0.587679 | − | 0.505922i | ||||
\(988\) | 1.73257 | − | 3.50735i | 0.0551204 | − | 0.111584i | ||||
\(989\) | −6.60257 | + | 3.81200i | −0.209950 | + | 0.121214i | ||||
\(990\) | −3.95518 | + | 4.22005i | −0.125704 | + | 0.134122i | ||||
\(991\) | −25.6882 | − | 14.8311i | −0.816014 | − | 0.471126i | 0.0330261 | − | 0.999454i | \(-0.489486\pi\) |
−0.849040 | + | 0.528329i | \(0.822819\pi\) | |||||||
\(992\) | 31.6103 | − | 43.9556i | 1.00363 | − | 1.39559i | ||||
\(993\) | 67.4634i | 2.14089i | ||||||||
\(994\) | 15.1351 | − | 34.2045i | 0.480057 | − | 1.08490i | ||||
\(995\) | −16.3456 | −0.518190 | ||||||||
\(996\) | −4.66243 | − | 71.8765i | −0.147735 | − | 2.27749i | ||||
\(997\) | −10.3363 | + | 17.9031i | −0.327355 | + | 0.566996i | −0.981986 | − | 0.188953i | \(-0.939491\pi\) |
0.654631 | + | 0.755949i | \(0.272824\pi\) | |||||||
\(998\) | −20.0692 | + | 21.4133i | −0.635281 | + | 0.677825i | ||||
\(999\) | −12.9691 | − | 22.4632i | −0.410325 | − | 0.710704i |
(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 | 280.2.bj.f.171.5 | yes | 24 | |
4.3 | odd | 2 | 1120.2.bz.e.591.2 | 24 | |||
7.5 | odd | 6 | 280.2.bj.e.131.4 | ✓ | 24 | ||
8.3 | odd | 2 | 280.2.bj.e.171.4 | yes | 24 | ||
8.5 | even | 2 | 1120.2.bz.f.591.2 | 24 | |||
28.19 | even | 6 | 1120.2.bz.f.271.2 | 24 | |||
56.5 | odd | 6 | 1120.2.bz.e.271.2 | 24 | |||
56.19 | even | 6 | inner | 280.2.bj.f.131.5 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.bj.e.131.4 | ✓ | 24 | 7.5 | odd | 6 | ||
280.2.bj.e.171.4 | yes | 24 | 8.3 | odd | 2 | ||
280.2.bj.f.131.5 | yes | 24 | 56.19 | even | 6 | inner | |
280.2.bj.f.171.5 | yes | 24 | 1.1 | even | 1 | trivial | |
1120.2.bz.e.271.2 | 24 | 56.5 | odd | 6 | |||
1120.2.bz.e.591.2 | 24 | 4.3 | odd | 2 | |||
1120.2.bz.f.271.2 | 24 | 28.19 | even | 6 | |||
1120.2.bz.f.591.2 | 24 | 8.5 | even | 2 |