Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(19,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 10, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.cg (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.7 | ||
Character | \(\chi\) | \(=\) | 273.19 |
Dual form | 273.2.cg.b.115.7 |
$q$-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 \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.07087 | + | 0.286939i | 0.757220 | + | 0.202896i | 0.616718 | − | 0.787184i | \(-0.288462\pi\) |
0.140502 | + | 0.990080i | \(0.455128\pi\) | |||||||
\(3\) | 1.00000i | 0.577350i | ||||||||
\(4\) | −0.667621 | − | 0.385451i | −0.333810 | − | 0.192725i | ||||
\(5\) | −3.71307 | + | 0.994915i | −1.66054 | + | 0.444940i | −0.962535 | − | 0.271156i | \(-0.912594\pi\) |
−0.698002 | + | 0.716096i | \(0.745927\pi\) | |||||||
\(6\) | −0.286939 | + | 1.07087i | −0.117142 | + | 0.437181i | ||||
\(7\) | −1.35644 | + | 2.27158i | −0.512687 | + | 0.858575i | ||||
\(8\) | −2.17220 | − | 2.17220i | −0.767988 | − | 0.767988i | ||||
\(9\) | −1.00000 | −0.333333 | ||||||||
\(10\) | −4.26170 | −1.34767 | ||||||||
\(11\) | 4.06398 | + | 4.06398i | 1.22534 | + | 1.22534i | 0.965709 | + | 0.259628i | \(0.0835999\pi\) |
0.259628 | + | 0.965709i | \(0.416400\pi\) | |||||||
\(12\) | 0.385451 | − | 0.667621i | 0.111270 | − | 0.192725i | ||||
\(13\) | −2.56640 | − | 2.53251i | −0.711791 | − | 0.702391i | ||||
\(14\) | −2.10438 | + | 2.04335i | −0.562419 | + | 0.546108i | ||||
\(15\) | −0.994915 | − | 3.71307i | −0.256886 | − | 0.958712i | ||||
\(16\) | −0.931953 | − | 1.61419i | −0.232988 | − | 0.403548i | ||||
\(17\) | −2.31050 | + | 4.00191i | −0.560379 | + | 0.970605i | 0.437084 | + | 0.899421i | \(0.356011\pi\) |
−0.997463 | + | 0.0711845i | \(0.977322\pi\) | |||||||
\(18\) | −1.07087 | − | 0.286939i | −0.252407 | − | 0.0676322i | ||||
\(19\) | 1.10074 | + | 1.10074i | 0.252526 | + | 0.252526i | 0.822006 | − | 0.569479i | \(-0.192855\pi\) |
−0.569479 | + | 0.822006i | \(0.692855\pi\) | |||||||
\(20\) | 2.86242 | + | 0.766982i | 0.640056 | + | 0.171502i | ||||
\(21\) | −2.27158 | − | 1.35644i | −0.495699 | − | 0.296000i | ||||
\(22\) | 3.18588 | + | 5.51811i | 0.679233 | + | 1.17647i | ||||
\(23\) | 3.73329 | − | 2.15542i | 0.778446 | − | 0.449436i | −0.0574336 | − | 0.998349i | \(-0.518292\pi\) |
0.835879 | + | 0.548914i | \(0.184958\pi\) | |||||||
\(24\) | 2.17220 | − | 2.17220i | 0.443398 | − | 0.443398i | ||||
\(25\) | 8.46694 | − | 4.88839i | 1.69339 | − | 0.977678i | ||||
\(26\) | −2.02161 | − | 3.44839i | −0.396470 | − | 0.676285i | ||||
\(27\) | − | 1.00000i | − | 0.192450i | ||||||
\(28\) | 1.78117 | − | 0.993710i | 0.336610 | − | 0.187793i | ||||
\(29\) | −2.38522 | + | 4.13133i | −0.442925 | + | 0.767169i | −0.997905 | − | 0.0646949i | \(-0.979393\pi\) |
0.554980 | + | 0.831864i | \(0.312726\pi\) | |||||||
\(30\) | − | 4.26170i | − | 0.778077i | ||||||
\(31\) | 0.993920 | − | 3.70936i | 0.178513 | − | 0.666220i | −0.817413 | − | 0.576052i | \(-0.804593\pi\) |
0.995926 | − | 0.0901688i | \(-0.0287406\pi\) | |||||||
\(32\) | 1.05533 | + | 3.93855i | 0.186558 | + | 0.696244i | ||||
\(33\) | −4.06398 | + | 4.06398i | −0.707448 | + | 0.707448i | ||||
\(34\) | −3.62255 | + | 3.62255i | −0.621263 | + | 0.621263i | ||||
\(35\) | 2.77655 | − | 9.78408i | 0.469322 | − | 1.65381i | ||||
\(36\) | 0.667621 | + | 0.385451i | 0.111270 | + | 0.0642418i | ||||
\(37\) | −0.653817 | + | 2.44008i | −0.107487 | + | 0.401146i | −0.998615 | − | 0.0526046i | \(-0.983248\pi\) |
0.891129 | + | 0.453751i | \(0.149914\pi\) | |||||||
\(38\) | 0.862902 | + | 1.49459i | 0.139981 | + | 0.242455i | ||||
\(39\) | 2.53251 | − | 2.56640i | 0.405526 | − | 0.410953i | ||||
\(40\) | 10.2267 | + | 5.90438i | 1.61698 | + | 0.933565i | ||||
\(41\) | −4.40726 | + | 1.18092i | −0.688299 | + | 0.184429i | −0.585984 | − | 0.810323i | \(-0.699292\pi\) |
−0.102315 | + | 0.994752i | \(0.532625\pi\) | |||||||
\(42\) | −2.04335 | − | 2.10438i | −0.315296 | − | 0.324713i | ||||
\(43\) | −2.65948 | + | 1.53545i | −0.405567 | + | 0.234154i | −0.688883 | − | 0.724872i | \(-0.741899\pi\) |
0.283316 | + | 0.959027i | \(0.408565\pi\) | |||||||
\(44\) | −1.14673 | − | 4.27966i | −0.172876 | − | 0.645184i | ||||
\(45\) | 3.71307 | − | 0.994915i | 0.553512 | − | 0.148313i | ||||
\(46\) | 4.61635 | − | 1.23695i | 0.680643 | − | 0.182378i | ||||
\(47\) | 2.11512 | + | 7.89374i | 0.308522 | + | 1.15142i | 0.929871 | + | 0.367886i | \(0.119918\pi\) |
−0.621349 | + | 0.783534i | \(0.713415\pi\) | |||||||
\(48\) | 1.61419 | − | 0.931953i | 0.232988 | − | 0.134516i | ||||
\(49\) | −3.32013 | − | 6.16253i | −0.474304 | − | 0.880361i | ||||
\(50\) | 10.4697 | − | 2.80534i | 1.48063 | − | 0.396735i | ||||
\(51\) | −4.00191 | − | 2.31050i | −0.560379 | − | 0.323535i | ||||
\(52\) | 0.737223 | + | 2.67998i | 0.102234 | + | 0.371646i | ||||
\(53\) | −1.36950 | − | 2.37205i | −0.188116 | − | 0.325826i | 0.756506 | − | 0.653987i | \(-0.226905\pi\) |
−0.944622 | + | 0.328160i | \(0.893571\pi\) | |||||||
\(54\) | 0.286939 | − | 1.07087i | 0.0390474 | − | 0.145727i | ||||
\(55\) | −19.1332 | − | 11.0466i | −2.57992 | − | 1.48952i | ||||
\(56\) | 7.88078 | − | 1.98785i | 1.05311 | − | 0.265638i | ||||
\(57\) | −1.10074 | + | 1.10074i | −0.145796 | + | 0.145796i | ||||
\(58\) | −3.73971 | + | 3.73971i | −0.491048 | + | 0.491048i | ||||
\(59\) | 3.64542 | + | 13.6049i | 0.474594 | + | 1.77121i | 0.622938 | + | 0.782271i | \(0.285939\pi\) |
−0.148344 | + | 0.988936i | \(0.547394\pi\) | |||||||
\(60\) | −0.766982 | + | 2.86242i | −0.0990170 | + | 0.369536i | ||||
\(61\) | − | 3.55543i | − | 0.455226i | −0.973752 | − | 0.227613i | \(-0.926908\pi\) | ||
0.973752 | − | 0.227613i | \(-0.0730921\pi\) | |||||||
\(62\) | 2.12872 | − | 3.68705i | 0.270348 | − | 0.468256i | ||||
\(63\) | 1.35644 | − | 2.27158i | 0.170896 | − | 0.286192i | ||||
\(64\) | 8.24831i | 1.03104i | ||||||||
\(65\) | 12.0489 | + | 6.85004i | 1.49448 | + | 0.849643i | ||||
\(66\) | −5.51811 | + | 3.18588i | −0.679233 | + | 0.392155i | ||||
\(67\) | −4.37916 | + | 4.37916i | −0.534999 | + | 0.534999i | −0.922056 | − | 0.387057i | \(-0.873492\pi\) |
0.387057 | + | 0.922056i | \(0.373492\pi\) | |||||||
\(68\) | 3.08508 | − | 1.78117i | 0.374121 | − | 0.215999i | ||||
\(69\) | 2.15542 | + | 3.73329i | 0.259482 | + | 0.449436i | ||||
\(70\) | 5.78076 | − | 9.68079i | 0.690933 | − | 1.15708i | ||||
\(71\) | −7.06180 | − | 1.89220i | −0.838081 | − | 0.224563i | −0.185845 | − | 0.982579i | \(-0.559502\pi\) |
−0.652236 | + | 0.758016i | \(0.726169\pi\) | |||||||
\(72\) | 2.17220 | + | 2.17220i | 0.255996 | + | 0.255996i | ||||
\(73\) | 1.11360 | + | 0.298389i | 0.130337 | + | 0.0349238i | 0.323398 | − | 0.946263i | \(-0.395175\pi\) |
−0.193061 | + | 0.981187i | \(0.561841\pi\) | |||||||
\(74\) | −1.40031 | + | 2.42540i | −0.162782 | + | 0.281947i | ||||
\(75\) | 4.88839 | + | 8.46694i | 0.564463 | + | 0.977678i | ||||
\(76\) | −0.310594 | − | 1.15915i | −0.0356276 | − | 0.132964i | ||||
\(77\) | −14.7442 | + | 3.71909i | −1.68026 | + | 0.423830i | ||||
\(78\) | 3.44839 | − | 2.02161i | 0.390453 | − | 0.228902i | ||||
\(79\) | 4.33848 | − | 7.51446i | 0.488117 | − | 0.845443i | −0.511790 | − | 0.859111i | \(-0.671017\pi\) |
0.999907 | + | 0.0136675i | \(0.00435065\pi\) | |||||||
\(80\) | 5.06640 | + | 5.06640i | 0.566440 | + | 0.566440i | ||||
\(81\) | 1.00000 | 0.111111 | ||||||||
\(82\) | −5.05846 | −0.558614 | ||||||||
\(83\) | 1.07656 | + | 1.07656i | 0.118168 | + | 0.118168i | 0.763718 | − | 0.645550i | \(-0.223372\pi\) |
−0.645550 | + | 0.763718i | \(0.723372\pi\) | |||||||
\(84\) | 0.993710 | + | 1.78117i | 0.108423 | + | 0.194342i | ||||
\(85\) | 4.59751 | − | 17.1581i | 0.498670 | − | 1.86106i | ||||
\(86\) | −3.28854 | + | 0.881161i | −0.354612 | + | 0.0950181i | ||||
\(87\) | −4.13133 | − | 2.38522i | −0.442925 | − | 0.255723i | ||||
\(88\) | − | 17.6555i | − | 1.88209i | ||||||
\(89\) | 8.76983 | + | 2.34987i | 0.929600 | + | 0.249086i | 0.691684 | − | 0.722200i | \(-0.256869\pi\) |
0.237916 | + | 0.971286i | \(0.423536\pi\) | |||||||
\(90\) | 4.26170 | 0.449223 | ||||||||
\(91\) | 9.23396 | − | 2.39457i | 0.967982 | − | 0.251019i | ||||
\(92\) | −3.32323 | −0.346471 | ||||||||
\(93\) | 3.70936 | + | 0.993920i | 0.384643 | + | 0.103065i | ||||
\(94\) | 9.06008i | 0.934476i | ||||||||
\(95\) | −5.18225 | − | 2.99198i | −0.531688 | − | 0.306970i | ||||
\(96\) | −3.93855 | + | 1.05533i | −0.401977 | + | 0.107709i | ||||
\(97\) | 1.63771 | − | 6.11203i | 0.166285 | − | 0.620583i | −0.831588 | − | 0.555393i | \(-0.812568\pi\) |
0.997873 | − | 0.0651900i | \(-0.0207654\pi\) | |||||||
\(98\) | −1.78716 | − | 7.55195i | −0.180530 | − | 0.762862i | ||||
\(99\) | −4.06398 | − | 4.06398i | −0.408446 | − | 0.408446i | ||||
\(100\) | −7.53694 | −0.753694 | ||||||||
\(101\) | 4.73048 | 0.470701 | 0.235350 | − | 0.971911i | \(-0.424376\pi\) | ||||
0.235350 | + | 0.971911i | \(0.424376\pi\) | |||||||
\(102\) | −3.62255 | − | 3.62255i | −0.358686 | − | 0.358686i | ||||
\(103\) | −3.04904 | + | 5.28110i | −0.300431 | + | 0.520362i | −0.976234 | − | 0.216721i | \(-0.930464\pi\) |
0.675802 | + | 0.737083i | \(0.263797\pi\) | |||||||
\(104\) | 0.0736159 | + | 11.0758i | 0.00721864 | + | 1.08608i | ||||
\(105\) | 9.78408 | + | 2.77655i | 0.954829 | + | 0.270963i | ||||
\(106\) | −0.785928 | − | 2.93312i | −0.0763361 | − | 0.284890i | ||||
\(107\) | −5.06948 | − | 8.78060i | −0.490085 | − | 0.848853i | 0.509850 | − | 0.860264i | \(-0.329701\pi\) |
−0.999935 | + | 0.0114109i | \(0.996368\pi\) | |||||||
\(108\) | −0.385451 | + | 0.667621i | −0.0370900 | + | 0.0642418i | ||||
\(109\) | 5.36251 | + | 1.43688i | 0.513636 | + | 0.137628i | 0.506321 | − | 0.862345i | \(-0.331005\pi\) |
0.00731442 | + | 0.999973i | \(0.497672\pi\) | |||||||
\(110\) | −17.3195 | − | 17.3195i | −1.65135 | − | 1.65135i | ||||
\(111\) | −2.44008 | − | 0.653817i | −0.231602 | − | 0.0620575i | ||||
\(112\) | 4.93090 | + | 0.0725533i | 0.465926 | + | 0.00685564i | ||||
\(113\) | 3.66662 | + | 6.35076i | 0.344926 | + | 0.597430i | 0.985340 | − | 0.170600i | \(-0.0545706\pi\) |
−0.640414 | + | 0.768030i | \(0.721237\pi\) | |||||||
\(114\) | −1.49459 | + | 0.862902i | −0.139981 | + | 0.0808182i | ||||
\(115\) | −11.7175 | + | 11.7175i | −1.09267 | + | 1.09267i | ||||
\(116\) | 3.18485 | − | 1.83877i | 0.295706 | − | 0.170726i | ||||
\(117\) | 2.56640 | + | 2.53251i | 0.237264 | + | 0.234130i | ||||
\(118\) | 15.6151i | 1.43749i | ||||||||
\(119\) | −5.95658 | − | 10.6768i | −0.546039 | − | 0.978745i | ||||
\(120\) | −5.90438 | + | 10.2267i | −0.538994 | + | 0.933565i | ||||
\(121\) | 22.0319i | 2.00290i | ||||||||
\(122\) | 1.02019 | − | 3.80740i | 0.0923637 | − | 0.344706i | ||||
\(123\) | −1.18092 | − | 4.40726i | −0.106480 | − | 0.397389i | ||||
\(124\) | −2.09334 | + | 2.09334i | −0.187987 | + | 0.187987i | ||||
\(125\) | −12.9841 | + | 12.9841i | −1.16133 | + | 1.16133i | ||||
\(126\) | 2.10438 | − | 2.04335i | 0.187473 | − | 0.182036i | ||||
\(127\) | −6.45696 | − | 3.72793i | −0.572963 | − | 0.330800i | 0.185369 | − | 0.982669i | \(-0.440652\pi\) |
−0.758332 | + | 0.651869i | \(0.773985\pi\) | |||||||
\(128\) | −0.256097 | + | 0.955769i | −0.0226360 | + | 0.0844788i | ||||
\(129\) | −1.53545 | − | 2.65948i | −0.135189 | − | 0.234154i | ||||
\(130\) | 10.9372 | + | 10.7928i | 0.959258 | + | 0.946591i | ||||
\(131\) | 1.96283 | + | 1.13324i | 0.171493 | + | 0.0990117i | 0.583290 | − | 0.812264i | \(-0.301765\pi\) |
−0.411797 | + | 0.911276i | \(0.635099\pi\) | |||||||
\(132\) | 4.27966 | − | 1.14673i | 0.372497 | − | 0.0998103i | ||||
\(133\) | −3.99349 | + | 1.00732i | −0.346280 | + | 0.0873458i | ||||
\(134\) | −5.94606 | + | 3.43296i | −0.513662 | + | 0.296563i | ||||
\(135\) | 0.994915 | + | 3.71307i | 0.0856287 | + | 0.319571i | ||||
\(136\) | 13.7118 | − | 3.67407i | 1.17578 | − | 0.315049i | ||||
\(137\) | 6.20474 | − | 1.66255i | 0.530107 | − | 0.142042i | 0.0161691 | − | 0.999869i | \(-0.494853\pi\) |
0.513938 | + | 0.857828i | \(0.328186\pi\) | |||||||
\(138\) | 1.23695 | + | 4.61635i | 0.105296 | + | 0.392970i | ||||
\(139\) | 6.59281 | − | 3.80636i | 0.559195 | − | 0.322851i | −0.193627 | − | 0.981075i | \(-0.562025\pi\) |
0.752822 | + | 0.658224i | \(0.228692\pi\) | |||||||
\(140\) | −5.62496 | + | 5.46183i | −0.475396 | + | 0.461609i | ||||
\(141\) | −7.89374 | + | 2.11512i | −0.664773 | + | 0.178125i | ||||
\(142\) | −7.01933 | − | 4.05261i | −0.589049 | − | 0.340087i | ||||
\(143\) | −0.137729 | − | 20.7219i | −0.0115174 | − | 1.73285i | ||||
\(144\) | 0.931953 | + | 1.61419i | 0.0776628 | + | 0.134516i | ||||
\(145\) | 4.74619 | − | 17.7130i | 0.394150 | − | 1.47099i | ||||
\(146\) | 1.10690 | + | 0.639072i | 0.0916081 | + | 0.0528900i | ||||
\(147\) | 6.16253 | − | 3.32013i | 0.508277 | − | 0.273839i | ||||
\(148\) | 1.37703 | − | 1.37703i | 0.113191 | − | 0.113191i | ||||
\(149\) | 5.89782 | − | 5.89782i | 0.483168 | − | 0.483168i | −0.422974 | − | 0.906142i | \(-0.639014\pi\) |
0.906142 | + | 0.422974i | \(0.139014\pi\) | |||||||
\(150\) | 2.80534 | + | 10.4697i | 0.229055 | + | 0.854845i | ||||
\(151\) | −4.35609 | + | 16.2571i | −0.354493 | + | 1.32299i | 0.526628 | + | 0.850096i | \(0.323456\pi\) |
−0.881121 | + | 0.472891i | \(0.843210\pi\) | |||||||
\(152\) | − | 4.78203i | − | 0.387874i | ||||||
\(153\) | 2.31050 | − | 4.00191i | 0.186793 | − | 0.323535i | ||||
\(154\) | −16.8563 | − | 0.248024i | −1.35832 | − | 0.0199863i | ||||
\(155\) | 14.7620i | 1.18571i | ||||||||
\(156\) | −2.67998 | + | 0.737223i | −0.214570 | + | 0.0590251i | ||||
\(157\) | −12.9026 | + | 7.44933i | −1.02974 | + | 0.594521i | −0.916910 | − | 0.399093i | \(-0.869325\pi\) |
−0.112830 | + | 0.993614i | \(0.535992\pi\) | |||||||
\(158\) | 6.80214 | − | 6.80214i | 0.541149 | − | 0.541149i | ||||
\(159\) | 2.37205 | − | 1.36950i | 0.188116 | − | 0.108609i | ||||
\(160\) | −7.83705 | − | 13.5742i | −0.619573 | − | 1.07313i | ||||
\(161\) | −0.167801 | + | 11.4042i | −0.0132246 | + | 0.898774i | ||||
\(162\) | 1.07087 | + | 0.286939i | 0.0841356 | + | 0.0225441i | ||||
\(163\) | 1.07815 | + | 1.07815i | 0.0844474 | + | 0.0844474i | 0.748069 | − | 0.663621i | \(-0.230981\pi\) |
−0.663621 | + | 0.748069i | \(0.730981\pi\) | |||||||
\(164\) | 3.39757 | + | 0.910375i | 0.265305 | + | 0.0710884i | ||||
\(165\) | 11.0466 | − | 19.1332i | 0.859973 | − | 1.48952i | ||||
\(166\) | 0.843948 | + | 1.46176i | 0.0655031 | + | 0.113455i | ||||
\(167\) | −4.56332 | − | 17.0305i | −0.353120 | − | 1.31786i | −0.882834 | − | 0.469686i | \(-0.844367\pi\) |
0.529714 | − | 0.848177i | \(-0.322299\pi\) | |||||||
\(168\) | 1.98785 | + | 7.88078i | 0.153366 | + | 0.608015i | ||||
\(169\) | 0.172802 | + | 12.9989i | 0.0132925 | + | 0.999912i | ||||
\(170\) | 9.84668 | − | 17.0549i | 0.755206 | − | 1.30805i | ||||
\(171\) | −1.10074 | − | 1.10074i | −0.0841754 | − | 0.0841754i | ||||
\(172\) | 2.36736 | 0.180510 | ||||||||
\(173\) | −21.4187 | −1.62844 | −0.814218 | − | 0.580559i | \(-0.802834\pi\) | ||||
−0.814218 | + | 0.580559i | \(0.802834\pi\) | |||||||
\(174\) | −3.73971 | − | 3.73971i | −0.283506 | − | 0.283506i | ||||
\(175\) | −0.380565 | + | 25.8641i | −0.0287680 | + | 1.95514i | ||||
\(176\) | 2.77260 | − | 10.3475i | 0.208993 | − | 0.779971i | ||||
\(177\) | −13.6049 | + | 3.64542i | −1.02261 | + | 0.274007i | ||||
\(178\) | 8.71708 | + | 5.03281i | 0.653373 | + | 0.377225i | ||||
\(179\) | 17.4569i | 1.30479i | 0.757879 | + | 0.652395i | \(0.226236\pi\) | ||||
−0.757879 | + | 0.652395i | \(0.773764\pi\) | |||||||
\(180\) | −2.86242 | − | 0.766982i | −0.213352 | − | 0.0571675i | ||||
\(181\) | 19.2300 | 1.42935 | 0.714676 | − | 0.699456i | \(-0.246574\pi\) | ||||
0.714676 | + | 0.699456i | \(0.246574\pi\) | |||||||
\(182\) | 10.5755 | + | 0.0853090i | 0.783906 | + | 0.00632352i | ||||
\(183\) | 3.55543 | 0.262825 | ||||||||
\(184\) | −12.7914 | − | 3.42746i | −0.942998 | − | 0.252676i | ||||
\(185\) | − | 9.71068i | − | 0.713943i | ||||||
\(186\) | 3.68705 | + | 2.12872i | 0.270348 | + | 0.156085i | ||||
\(187\) | −25.6535 | + | 6.87384i | −1.87597 | + | 0.502665i | ||||
\(188\) | 1.63055 | − | 6.08530i | 0.118920 | − | 0.443816i | ||||
\(189\) | 2.27158 | + | 1.35644i | 0.165233 | + | 0.0986667i | ||||
\(190\) | −4.69101 | − | 4.69101i | −0.340322 | − | 0.340322i | ||||
\(191\) | −9.00219 | −0.651376 | −0.325688 | − | 0.945477i | \(-0.605596\pi\) | ||||
−0.325688 | + | 0.945477i | \(0.605596\pi\) | |||||||
\(192\) | −8.24831 | −0.595270 | ||||||||
\(193\) | 14.2364 | + | 14.2364i | 1.02475 | + | 1.02475i | 0.999686 | + | 0.0250692i | \(0.00798062\pi\) |
0.0250692 | + | 0.999686i | \(0.492019\pi\) | |||||||
\(194\) | 3.50756 | − | 6.07527i | 0.251828 | − | 0.436179i | ||||
\(195\) | −6.85004 | + | 12.0489i | −0.490542 | + | 0.862837i | ||||
\(196\) | −0.158768 | + | 5.39398i | −0.0113406 | + | 0.385284i | ||||
\(197\) | 2.88538 | + | 10.7684i | 0.205575 | + | 0.767215i | 0.989274 | + | 0.146074i | \(0.0466639\pi\) |
−0.783699 | + | 0.621141i | \(0.786669\pi\) | |||||||
\(198\) | −3.18588 | − | 5.51811i | −0.226411 | − | 0.392155i | ||||
\(199\) | 7.95661 | − | 13.7813i | 0.564029 | − | 0.976927i | −0.433110 | − | 0.901341i | \(-0.642584\pi\) |
0.997139 | − | 0.0755862i | \(-0.0240828\pi\) | |||||||
\(200\) | −29.0104 | − | 7.77332i | −2.05135 | − | 0.549657i | ||||
\(201\) | −4.37916 | − | 4.37916i | −0.308882 | − | 0.308882i | ||||
\(202\) | 5.06574 | + | 1.35736i | 0.356424 | + | 0.0955035i | ||||
\(203\) | −6.14921 | − | 11.0221i | −0.431590 | − | 0.773602i | ||||
\(204\) | 1.78117 | + | 3.08508i | 0.124707 | + | 0.215999i | ||||
\(205\) | 15.1896 | − | 8.76971i | 1.06089 | − | 0.612503i | ||||
\(206\) | −4.78048 | + | 4.78048i | −0.333072 | + | 0.333072i | ||||
\(207\) | −3.73329 | + | 2.15542i | −0.259482 | + | 0.149812i | ||||
\(208\) | −1.69619 | + | 6.50284i | −0.117609 | + | 0.450891i | ||||
\(209\) | 8.94674i | 0.618859i | ||||||||
\(210\) | 9.68079 | + | 5.78076i | 0.668038 | + | 0.398910i | ||||
\(211\) | 4.78671 | − | 8.29082i | 0.329531 | − | 0.570764i | −0.652888 | − | 0.757454i | \(-0.726443\pi\) |
0.982419 | + | 0.186691i | \(0.0597762\pi\) | |||||||
\(212\) | 2.11151i | 0.145019i | ||||||||
\(213\) | 1.89220 | − | 7.06180i | 0.129652 | − | 0.483866i | ||||
\(214\) | −2.90926 | − | 10.8575i | −0.198873 | − | 0.742205i | ||||
\(215\) | 8.34720 | − | 8.34720i | 0.569274 | − | 0.569274i | ||||
\(216\) | −2.17220 | + | 2.17220i | −0.147799 | + | 0.147799i | ||||
\(217\) | 7.07790 | + | 7.28930i | 0.480479 | + | 0.494830i | ||||
\(218\) | 5.33026 | + | 3.07743i | 0.361011 | + | 0.208430i | ||||
\(219\) | −0.298389 | + | 1.11360i | −0.0201633 | + | 0.0752503i | ||||
\(220\) | 8.51581 | + | 14.7498i | 0.574136 | + | 0.994432i | ||||
\(221\) | 16.0645 | − | 4.41912i | 1.08062 | − | 0.297262i | ||||
\(222\) | −2.42540 | − | 1.40031i | −0.162782 | − | 0.0939824i | ||||
\(223\) | 8.48493 | − | 2.27353i | 0.568193 | − | 0.152247i | 0.0367254 | − | 0.999325i | \(-0.488307\pi\) |
0.531468 | + | 0.847078i | \(0.321641\pi\) | |||||||
\(224\) | −10.3782 | − | 2.94515i | −0.693424 | − | 0.196781i | ||||
\(225\) | −8.46694 | + | 4.88839i | −0.564463 | + | 0.325893i | ||||
\(226\) | 2.10419 | + | 7.85294i | 0.139969 | + | 0.522370i | ||||
\(227\) | 2.25026 | − | 0.602956i | 0.149355 | − | 0.0400196i | −0.183367 | − | 0.983045i | \(-0.558700\pi\) |
0.332722 | + | 0.943025i | \(0.392033\pi\) | |||||||
\(228\) | 1.15915 | − | 0.310594i | 0.0767668 | − | 0.0205696i | ||||
\(229\) | 5.76286 | + | 21.5073i | 0.380821 | + | 1.42124i | 0.844651 | + | 0.535318i | \(0.179808\pi\) |
−0.463830 | + | 0.885924i | \(0.653525\pi\) | |||||||
\(230\) | −15.9102 | + | 9.18575i | −1.04909 | + | 0.605691i | ||||
\(231\) | −3.71909 | − | 14.7442i | −0.244698 | − | 0.970098i | ||||
\(232\) | 14.1552 | − | 3.79289i | 0.929338 | − | 0.249015i | ||||
\(233\) | −22.9050 | − | 13.2242i | −1.50056 | − | 0.866346i | −1.00000 | 0.000642475i | \(-0.999795\pi\) | |
−0.500556 | − | 0.865704i | \(-0.666871\pi\) | |||||||
\(234\) | 2.02161 | + | 3.44839i | 0.132157 | + | 0.225428i | ||||
\(235\) | −15.7072 | − | 27.2057i | −1.02462 | − | 1.77470i | ||||
\(236\) | 2.81026 | − | 10.4880i | 0.182933 | − | 0.682713i | ||||
\(237\) | 7.51446 | + | 4.33848i | 0.488117 | + | 0.281814i | ||||
\(238\) | −3.31512 | − | 13.1427i | −0.214887 | − | 0.851914i | ||||
\(239\) | 15.8253 | − | 15.8253i | 1.02365 | − | 1.02365i | 0.0239377 | − | 0.999713i | \(-0.492380\pi\) |
0.999713 | − | 0.0239377i | \(-0.00762033\pi\) | |||||||
\(240\) | −5.06640 | + | 5.06640i | −0.327034 | + | 0.327034i | ||||
\(241\) | −4.57540 | − | 17.0756i | −0.294728 | − | 1.09994i | −0.941433 | − | 0.337199i | \(-0.890521\pi\) |
0.646706 | − | 0.762740i | \(-0.276146\pi\) | |||||||
\(242\) | −6.32181 | + | 23.5933i | −0.406381 | + | 1.51664i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | −1.37044 | + | 2.37368i | −0.0877336 | + | 0.151959i | ||||
\(245\) | 18.4591 | + | 19.5787i | 1.17931 | + | 1.25084i | ||||
\(246\) | − | 5.05846i | − | 0.322516i | ||||||
\(247\) | −0.0373040 | − | 5.61255i | −0.00237360 | − | 0.357118i | ||||
\(248\) | −10.2165 | + | 5.89847i | −0.648745 | + | 0.374553i | ||||
\(249\) | −1.07656 | + | 1.07656i | −0.0682241 | + | 0.0682241i | ||||
\(250\) | −17.6299 | + | 10.1786i | −1.11501 | + | 0.643752i | ||||
\(251\) | −5.13722 | − | 8.89792i | −0.324258 | − | 0.561632i | 0.657104 | − | 0.753800i | \(-0.271781\pi\) |
−0.981362 | + | 0.192169i | \(0.938448\pi\) | |||||||
\(252\) | −1.78117 | + | 0.993710i | −0.112203 | + | 0.0625978i | ||||
\(253\) | 23.9316 | + | 6.41246i | 1.50457 | + | 0.403148i | ||||
\(254\) | −5.84489 | − | 5.84489i | −0.366741 | − | 0.366741i | ||||
\(255\) | 17.1581 | + | 4.59751i | 1.07448 | + | 0.287907i | ||||
\(256\) | 7.69982 | − | 13.3365i | 0.481238 | − | 0.833529i | ||||
\(257\) | −3.08669 | − | 5.34630i | −0.192542 | − | 0.333493i | 0.753550 | − | 0.657391i | \(-0.228340\pi\) |
−0.946092 | + | 0.323898i | \(0.895007\pi\) | |||||||
\(258\) | −0.881161 | − | 3.28854i | −0.0548587 | − | 0.204736i | ||||
\(259\) | −4.65596 | − | 4.79502i | −0.289307 | − | 0.297948i | ||||
\(260\) | −5.40371 | − | 9.21747i | −0.335124 | − | 0.571644i | ||||
\(261\) | 2.38522 | − | 4.13133i | 0.147642 | − | 0.255723i | ||||
\(262\) | 1.77677 | + | 1.77677i | 0.109769 | + | 0.109769i | ||||
\(263\) | −4.29839 | −0.265050 | −0.132525 | − | 0.991180i | \(-0.542308\pi\) | ||||
−0.132525 | + | 0.991180i | \(0.542308\pi\) | |||||||
\(264\) | 17.6555 | 1.08662 | ||||||||
\(265\) | 7.44506 | + | 7.44506i | 0.457346 | + | 0.457346i | ||||
\(266\) | −4.56555 | − | 0.0671776i | −0.279932 | − | 0.00411892i | ||||
\(267\) | −2.34987 | + | 8.76983i | −0.143810 | + | 0.536705i | ||||
\(268\) | 4.61157 | − | 1.23567i | 0.281696 | − | 0.0754803i | ||||
\(269\) | 18.7221 | + | 10.8092i | 1.14151 | + | 0.659050i | 0.946804 | − | 0.321812i | \(-0.104292\pi\) |
0.194704 | + | 0.980862i | \(0.437625\pi\) | |||||||
\(270\) | 4.26170i | 0.259359i | ||||||||
\(271\) | 20.0858 | + | 5.38197i | 1.22012 | + | 0.326931i | 0.810727 | − | 0.585425i | \(-0.199072\pi\) |
0.409397 | + | 0.912356i | \(0.365739\pi\) | |||||||
\(272\) | 8.61312 | 0.522247 | ||||||||
\(273\) | 2.39457 | + | 9.23396i | 0.144926 | + | 0.558865i | ||||
\(274\) | 7.12153 | 0.430227 | ||||||||
\(275\) | 54.2758 | + | 14.5432i | 3.27296 | + | 0.876986i | ||||
\(276\) | − | 3.32323i | − | 0.200035i | ||||||
\(277\) | 0.133980 | + | 0.0773537i | 0.00805011 | + | 0.00464773i | 0.504020 | − | 0.863692i | \(-0.331854\pi\) |
−0.495970 | + | 0.868340i | \(0.665187\pi\) | |||||||
\(278\) | 8.15224 | − | 2.18439i | 0.488939 | − | 0.131011i | ||||
\(279\) | −0.993920 | + | 3.70936i | −0.0595044 | + | 0.222073i | ||||
\(280\) | −27.2842 | + | 15.2218i | −1.63054 | + | 0.909674i | ||||
\(281\) | 9.10391 | + | 9.10391i | 0.543094 | + | 0.543094i | 0.924435 | − | 0.381341i | \(-0.124538\pi\) |
−0.381341 | + | 0.924435i | \(0.624538\pi\) | |||||||
\(282\) | −9.06008 | −0.539520 | ||||||||
\(283\) | 30.9114 | 1.83749 | 0.918747 | − | 0.394846i | \(-0.129202\pi\) | ||||
0.918747 | + | 0.394846i | \(0.129202\pi\) | |||||||
\(284\) | 3.98525 | + | 3.98525i | 0.236481 | + | 0.236481i | ||||
\(285\) | 2.99198 | − | 5.18225i | 0.177229 | − | 0.306970i | ||||
\(286\) | 5.79842 | − | 22.2300i | 0.342868 | − | 1.31449i | ||||
\(287\) | 3.29564 | − | 11.6133i | 0.194536 | − | 0.685511i | ||||
\(288\) | −1.05533 | − | 3.93855i | −0.0621860 | − | 0.232081i | ||||
\(289\) | −2.17684 | − | 3.77040i | −0.128050 | − | 0.221788i | ||||
\(290\) | 10.1651 | − | 17.6065i | 0.596916 | − | 1.03389i | ||||
\(291\) | 6.11203 | + | 1.63771i | 0.358294 | + | 0.0960045i | ||||
\(292\) | −0.628450 | − | 0.628450i | −0.0367772 | − | 0.0367772i | ||||
\(293\) | 2.88517 | + | 0.773079i | 0.168553 | + | 0.0451637i | 0.342109 | − | 0.939660i | \(-0.388859\pi\) |
−0.173555 | + | 0.984824i | \(0.555526\pi\) | |||||||
\(294\) | 7.55195 | − | 1.78716i | 0.440438 | − | 0.104229i | ||||
\(295\) | −27.0715 | − | 46.8891i | −1.57616 | − | 2.72999i | ||||
\(296\) | 6.72055 | − | 3.88011i | 0.390624 | − | 0.225527i | ||||
\(297\) | 4.06398 | − | 4.06398i | 0.235816 | − | 0.235816i | ||||
\(298\) | 8.00812 | − | 4.62349i | 0.463898 | − | 0.267832i | ||||
\(299\) | −15.0397 | − | 3.92294i | −0.869770 | − | 0.226869i | ||||
\(300\) | − | 7.53694i | − | 0.435145i | ||||||
\(301\) | 0.119536 | − | 8.12396i | 0.00688994 | − | 0.468258i | ||||
\(302\) | −9.32961 | + | 16.1594i | −0.536859 | + | 0.929867i | ||||
\(303\) | 4.73048i | 0.271759i | ||||||||
\(304\) | 0.750963 | − | 2.80263i | 0.0430707 | − | 0.160742i | ||||
\(305\) | 3.53735 | + | 13.2016i | 0.202548 | + | 0.755919i | ||||
\(306\) | 3.62255 | − | 3.62255i | 0.207088 | − | 0.207088i | ||||
\(307\) | −4.63406 | + | 4.63406i | −0.264480 | + | 0.264480i | −0.826871 | − | 0.562391i | \(-0.809881\pi\) |
0.562391 | + | 0.826871i | \(0.309881\pi\) | |||||||
\(308\) | 11.2771 | + | 3.20023i | 0.642570 | + | 0.182350i | ||||
\(309\) | −5.28110 | − | 3.04904i | −0.300431 | − | 0.173454i | ||||
\(310\) | −4.23579 | + | 15.8082i | −0.240577 | + | 0.897845i | ||||
\(311\) | −8.47587 | − | 14.6806i | −0.480622 | − | 0.832462i | 0.519131 | − | 0.854695i | \(-0.326256\pi\) |
−0.999753 | + | 0.0222327i | \(0.992923\pi\) | |||||||
\(312\) | −11.0758 | + | 0.0736159i | −0.627046 | + | 0.00416768i | ||||
\(313\) | 19.2841 | + | 11.1337i | 1.09000 | + | 0.629312i | 0.933576 | − | 0.358379i | \(-0.116670\pi\) |
0.156423 | + | 0.987690i | \(0.450004\pi\) | |||||||
\(314\) | −15.9545 | + | 4.27501i | −0.900367 | + | 0.241252i | ||||
\(315\) | −2.77655 | + | 9.78408i | −0.156441 | + | 0.551271i | ||||
\(316\) | −5.79291 | + | 3.34454i | −0.325877 | + | 0.188145i | ||||
\(317\) | 7.99803 | + | 29.8490i | 0.449214 | + | 1.67649i | 0.704564 | + | 0.709640i | \(0.251143\pi\) |
−0.255350 | + | 0.966849i | \(0.582191\pi\) | |||||||
\(318\) | 2.93312 | − | 0.785928i | 0.164481 | − | 0.0440727i | ||||
\(319\) | −26.4832 | + | 7.09614i | −1.48277 | + | 0.397308i | ||||
\(320\) | −8.20637 | − | 30.6266i | −0.458750 | − | 1.71208i | ||||
\(321\) | 8.78060 | − | 5.06948i | 0.490085 | − | 0.282951i | ||||
\(322\) | −3.45199 | + | 12.1642i | −0.192372 | + | 0.677887i | ||||
\(323\) | −6.94830 | + | 1.86179i | −0.386614 | + | 0.103593i | ||||
\(324\) | −0.667621 | − | 0.385451i | −0.0370900 | − | 0.0214139i | ||||
\(325\) | −34.1094 | − | 8.89704i | −1.89205 | − | 0.493519i | ||||
\(326\) | 0.845198 | + | 1.46393i | 0.0468112 | + | 0.0810793i | ||||
\(327\) | −1.43688 | + | 5.36251i | −0.0794597 | + | 0.296548i | ||||
\(328\) | 12.1386 | + | 7.00825i | 0.670245 | + | 0.386966i | ||||
\(329\) | −20.8003 | − | 5.90274i | −1.14676 | − | 0.325429i | ||||
\(330\) | 17.3195 | − | 17.3195i | 0.953406 | − | 0.953406i | ||||
\(331\) | −20.1091 | + | 20.1091i | −1.10530 | + | 1.10530i | −0.111539 | + | 0.993760i | \(0.535578\pi\) |
−0.993760 | + | 0.111539i | \(0.964422\pi\) | |||||||
\(332\) | −0.303772 | − | 1.13369i | −0.0166717 | − | 0.0622195i | ||||
\(333\) | 0.653817 | − | 2.44008i | 0.0358289 | − | 0.133715i | ||||
\(334\) | − | 19.5469i | − | 1.06956i | ||||||
\(335\) | 11.9033 | − | 20.6170i | 0.650344 | − | 1.12643i | ||||
\(336\) | −0.0725533 | + | 4.93090i | −0.00395811 | + | 0.269003i | ||||
\(337\) | − | 12.0750i | − | 0.657769i | −0.944370 | − | 0.328885i | \(-0.893327\pi\) | ||
0.944370 | − | 0.328885i | \(-0.106673\pi\) | |||||||
\(338\) | −3.54483 | + | 13.9697i | −0.192813 | + | 0.759850i | ||||
\(339\) | −6.35076 | + | 3.66662i | −0.344926 | + | 0.199143i | ||||
\(340\) | −9.68301 | + | 9.68301i | −0.525135 | + | 0.525135i | ||||
\(341\) | 19.1140 | − | 11.0355i | 1.03508 | − | 0.597606i | ||||
\(342\) | −0.862902 | − | 1.49459i | −0.0466604 | − | 0.0808182i | ||||
\(343\) | 18.5022 | + | 0.817197i | 0.999026 | + | 0.0441245i | ||||
\(344\) | 9.11222 | + | 2.44161i | 0.491298 | + | 0.131643i | ||||
\(345\) | −11.7175 | − | 11.7175i | −0.630851 | − | 0.630851i | ||||
\(346\) | −22.9367 | − | 6.14587i | −1.23309 | − | 0.330404i | ||||
\(347\) | −17.9357 | + | 31.0656i | −0.962839 | + | 1.66769i | −0.247527 | + | 0.968881i | \(0.579618\pi\) |
−0.715312 | + | 0.698806i | \(0.753715\pi\) | |||||||
\(348\) | 1.83877 | + | 3.18485i | 0.0985686 | + | 0.170726i | ||||
\(349\) | −1.04779 | − | 3.91041i | −0.0560869 | − | 0.209319i | 0.932196 | − | 0.361955i | \(-0.117891\pi\) |
−0.988283 | + | 0.152636i | \(0.951224\pi\) | |||||||
\(350\) | −7.82896 | + | 27.5879i | −0.418476 | + | 1.47464i | ||||
\(351\) | −2.53251 | + | 2.56640i | −0.135175 | + | 0.136984i | ||||
\(352\) | −11.7174 | + | 20.2951i | −0.624537 | + | 1.08173i | ||||
\(353\) | −15.5508 | − | 15.5508i | −0.827688 | − | 0.827688i | 0.159508 | − | 0.987197i | \(-0.449009\pi\) |
−0.987197 | + | 0.159508i | \(0.949009\pi\) | |||||||
\(354\) | −15.6151 | −0.829933 | ||||||||
\(355\) | 28.1036 | 1.49158 | ||||||||
\(356\) | −4.94916 | − | 4.94916i | −0.262305 | − | 0.262305i | ||||
\(357\) | 10.6768 | − | 5.95658i | 0.565079 | − | 0.315256i | ||||
\(358\) | −5.00906 | + | 18.6941i | −0.264737 | + | 0.988013i | ||||
\(359\) | 10.8169 | − | 2.89839i | 0.570896 | − | 0.152971i | 0.0381885 | − | 0.999271i | \(-0.487841\pi\) |
0.532707 | + | 0.846299i | \(0.321175\pi\) | |||||||
\(360\) | −10.2267 | − | 5.90438i | −0.538994 | − | 0.311188i | ||||
\(361\) | − | 16.5768i | − | 0.872461i | ||||||
\(362\) | 20.5928 | + | 5.51783i | 1.08233 | + | 0.290010i | ||||
\(363\) | −22.0319 | −1.15637 | ||||||||
\(364\) | −7.08777 | − | 1.96058i | −0.371500 | − | 0.102762i | ||||
\(365\) | −4.43176 | −0.231969 | ||||||||
\(366\) | 3.80740 | + | 1.02019i | 0.199016 | + | 0.0533262i | ||||
\(367\) | 9.54253i | 0.498116i | 0.968489 | + | 0.249058i | \(0.0801210\pi\) | ||||
−0.968489 | + | 0.249058i | \(0.919879\pi\) | |||||||
\(368\) | −6.95851 | − | 4.01750i | −0.362737 | − | 0.209427i | ||||
\(369\) | 4.40726 | − | 1.18092i | 0.229433 | − | 0.0614764i | ||||
\(370\) | 2.78637 | − | 10.3989i | 0.144857 | − | 0.540612i | ||||
\(371\) | 7.24595 | + | 0.106617i | 0.376191 | + | 0.00553528i | ||||
\(372\) | −2.09334 | − | 2.09334i | −0.108534 | − | 0.108534i | ||||
\(373\) | 4.72187 | 0.244489 | 0.122245 | − | 0.992500i | \(-0.460991\pi\) | ||||
0.122245 | + | 0.992500i | \(0.460991\pi\) | |||||||
\(374\) | −29.4440 | −1.52251 | ||||||||
\(375\) | −12.9841 | − | 12.9841i | −0.670493 | − | 0.670493i | ||||
\(376\) | 12.5523 | − | 21.7412i | 0.647335 | − | 1.12122i | ||||
\(377\) | 16.5841 | − | 4.56204i | 0.854123 | − | 0.234957i | ||||
\(378\) | 2.04335 | + | 2.10438i | 0.105099 | + | 0.108238i | ||||
\(379\) | 3.85850 | + | 14.4001i | 0.198198 | + | 0.739684i | 0.991416 | + | 0.130747i | \(0.0417374\pi\) |
−0.793218 | + | 0.608938i | \(0.791596\pi\) | |||||||
\(380\) | 2.30652 | + | 3.99501i | 0.118322 | + | 0.204940i | ||||
\(381\) | 3.72793 | − | 6.45696i | 0.190988 | − | 0.330800i | ||||
\(382\) | −9.64018 | − | 2.58308i | −0.493235 | − | 0.132162i | ||||
\(383\) | −20.4402 | − | 20.4402i | −1.04445 | − | 1.04445i | −0.998965 | − | 0.0454798i | \(-0.985518\pi\) |
−0.0454798 | − | 0.998965i | \(-0.514482\pi\) | |||||||
\(384\) | −0.955769 | − | 0.256097i | −0.0487739 | − | 0.0130689i | ||||
\(385\) | 51.0462 | − | 28.4785i | 2.60155 | − | 1.45140i | ||||
\(386\) | 11.1603 | + | 19.3303i | 0.568046 | + | 0.983884i | ||||
\(387\) | 2.65948 | − | 1.53545i | 0.135189 | − | 0.0780514i | ||||
\(388\) | −3.44926 | + | 3.44926i | −0.175110 | + | 0.175110i | ||||
\(389\) | 5.36999 | − | 3.10036i | 0.272269 | − | 0.157195i | −0.357649 | − | 0.933856i | \(-0.616422\pi\) |
0.629918 | + | 0.776661i | \(0.283088\pi\) | |||||||
\(390\) | −10.7928 | + | 10.9372i | −0.546515 | + | 0.553828i | ||||
\(391\) | 19.9204i | 1.00742i | ||||||||
\(392\) | −6.17426 | + | 20.5982i | −0.311847 | + | 1.04037i | ||||
\(393\) | −1.13324 | + | 1.96283i | −0.0571644 | + | 0.0990117i | ||||
\(394\) | 12.3595i | 0.622661i | ||||||||
\(395\) | −8.63284 | + | 32.2182i | −0.434365 | + | 1.62107i | ||||
\(396\) | 1.14673 | + | 4.27966i | 0.0576255 | + | 0.215061i | ||||
\(397\) | −19.9017 | + | 19.9017i | −0.998837 | + | 0.998837i | −0.999999 | − | 0.00116213i | \(-0.999630\pi\) |
0.00116213 | + | 0.999999i | \(0.499630\pi\) | |||||||
\(398\) | 12.4749 | − | 12.4749i | 0.625309 | − | 0.625309i | ||||
\(399\) | −1.00732 | − | 3.99349i | −0.0504291 | − | 0.199925i | ||||
\(400\) | −15.7816 | − | 9.11150i | −0.789079 | − | 0.455575i | ||||
\(401\) | 9.48075 | − | 35.3826i | 0.473446 | − | 1.76692i | −0.153799 | − | 0.988102i | \(-0.549151\pi\) |
0.627245 | − | 0.778822i | \(-0.284183\pi\) | |||||||
\(402\) | −3.43296 | − | 5.94606i | −0.171221 | − | 0.296563i | ||||
\(403\) | −11.9448 | + | 7.00258i | −0.595012 | + | 0.348823i | ||||
\(404\) | −3.15817 | − | 1.82337i | −0.157125 | − | 0.0907160i | ||||
\(405\) | −3.71307 | + | 0.994915i | −0.184504 | + | 0.0494377i | ||||
\(406\) | −3.42233 | − | 13.5677i | −0.169848 | − | 0.673355i | ||||
\(407\) | −12.5735 | + | 7.25933i | −0.623247 | + | 0.359832i | ||||
\(408\) | 3.67407 | + | 13.7118i | 0.181893 | + | 0.678836i | ||||
\(409\) | −15.7231 | + | 4.21300i | −0.777459 | + | 0.208319i | −0.625664 | − | 0.780093i | \(-0.715172\pi\) |
−0.151795 | + | 0.988412i | \(0.548505\pi\) | |||||||
\(410\) | 18.7824 | − | 5.03274i | 0.927599 | − | 0.248549i | ||||
\(411\) | 1.66255 | + | 6.20474i | 0.0820078 | + | 0.306057i | ||||
\(412\) | 4.07121 | − | 2.35051i | 0.200574 | − | 0.115801i | ||||
\(413\) | −35.8494 | − | 10.1734i | −1.76403 | − | 0.500601i | ||||
\(414\) | −4.61635 | + | 1.23695i | −0.226881 | + | 0.0607926i | ||||
\(415\) | −5.06843 | − | 2.92626i | −0.248799 | − | 0.143644i | ||||
\(416\) | 7.26602 | − | 12.7805i | 0.356246 | − | 0.626617i | ||||
\(417\) | 3.80636 | + | 6.59281i | 0.186398 | + | 0.322851i | ||||
\(418\) | −2.56717 | + | 9.58081i | −0.125564 | + | 0.468613i | ||||
\(419\) | 22.6793 | + | 13.0939i | 1.10796 | + | 0.639678i | 0.938299 | − | 0.345825i | \(-0.112401\pi\) |
0.169656 | + | 0.985503i | \(0.445734\pi\) | |||||||
\(420\) | −5.46183 | − | 5.62496i | −0.266510 | − | 0.274470i | ||||
\(421\) | −26.3922 | + | 26.3922i | −1.28628 | + | 1.28628i | −0.349245 | + | 0.937031i | \(0.613562\pi\) |
−0.937031 | + | 0.349245i | \(0.886438\pi\) | |||||||
\(422\) | 7.50491 | − | 7.50491i | 0.365333 | − | 0.365333i | ||||
\(423\) | −2.11512 | − | 7.89374i | −0.102841 | − | 0.383807i | ||||
\(424\) | −2.17773 | + | 8.12740i | −0.105760 | + | 0.394701i | ||||
\(425\) | 45.1786i | 2.19148i | ||||||||
\(426\) | 4.05261 | − | 7.01933i | 0.196350 | − | 0.340087i | ||||
\(427\) | 8.07643 | + | 4.82273i | 0.390846 | + | 0.233388i | ||||
\(428\) | 7.81615i | 0.377808i | ||||||||
\(429\) | 20.7219 | − | 0.137729i | 1.00046 | − | 0.00664960i | ||||
\(430\) | 11.3339 | − | 6.54364i | 0.546570 | − | 0.315562i | ||||
\(431\) | −19.8513 | + | 19.8513i | −0.956203 | + | 0.956203i | −0.999080 | − | 0.0428775i | \(-0.986347\pi\) |
0.0428775 | + | 0.999080i | \(0.486347\pi\) | |||||||
\(432\) | −1.61419 | + | 0.931953i | −0.0776628 | + | 0.0448386i | ||||
\(433\) | −9.31037 | − | 16.1260i | −0.447428 | − | 0.774968i | 0.550790 | − | 0.834644i | \(-0.314327\pi\) |
−0.998218 | + | 0.0596761i | \(0.980993\pi\) | |||||||
\(434\) | 5.48793 | + | 9.83682i | 0.263429 | + | 0.472183i | ||||
\(435\) | 17.7130 | + | 4.74619i | 0.849275 | + | 0.227563i | ||||
\(436\) | −3.02628 | − | 3.02628i | −0.144932 | − | 0.144932i | ||||
\(437\) | 6.48192 | + | 1.73682i | 0.310072 | + | 0.0830836i | ||||
\(438\) | −0.639072 | + | 1.10690i | −0.0305360 | + | 0.0528900i | ||||
\(439\) | 2.59308 | + | 4.49135i | 0.123761 | + | 0.214360i | 0.921248 | − | 0.388976i | \(-0.127171\pi\) |
−0.797487 | + | 0.603336i | \(0.793838\pi\) | |||||||
\(440\) | 17.5658 | + | 65.5564i | 0.837416 | + | 3.12528i | ||||
\(441\) | 3.32013 | + | 6.16253i | 0.158101 | + | 0.293454i | ||||
\(442\) | 18.4711 | − | 0.122769i | 0.878579 | − | 0.00583950i | ||||
\(443\) | −11.6044 | + | 20.0994i | −0.551342 | + | 0.954953i | 0.446836 | + | 0.894616i | \(0.352551\pi\) |
−0.998178 | + | 0.0603368i | \(0.980783\pi\) | |||||||
\(444\) | 1.37703 | + | 1.37703i | 0.0653510 | + | 0.0653510i | ||||
\(445\) | −34.9010 | −1.65446 | ||||||||
\(446\) | 9.73863 | 0.461138 | ||||||||
\(447\) | 5.89782 | + | 5.89782i | 0.278957 | + | 0.278957i | ||||
\(448\) | −18.7367 | − | 11.1884i | −0.885225 | − | 0.528600i | ||||
\(449\) | 1.28402 | − | 4.79203i | 0.0605967 | − | 0.226150i | −0.928986 | − | 0.370114i | \(-0.879318\pi\) |
0.989583 | + | 0.143965i | \(0.0459851\pi\) | |||||||
\(450\) | −10.4697 | + | 2.80534i | −0.493545 | + | 0.132245i | ||||
\(451\) | −22.7103 | − | 13.1118i | −1.06939 | − | 0.617410i | ||||
\(452\) | − | 5.65320i | − | 0.265904i | ||||||
\(453\) | −16.2571 | − | 4.35609i | −0.763827 | − | 0.204667i | ||||
\(454\) | 2.58275 | 0.121214 | ||||||||
\(455\) | −31.9040 | + | 18.0782i | −1.49568 | + | 0.847520i | ||||
\(456\) | 4.78203 | 0.223939 | ||||||||
\(457\) | −3.48801 | − | 0.934609i | −0.163162 | − | 0.0437192i | 0.176313 | − | 0.984334i | \(-0.443583\pi\) |
−0.339475 | + | 0.940615i | \(0.610250\pi\) | |||||||
\(458\) | 24.6851i | 1.15346i | ||||||||
\(459\) | 4.00191 | + | 2.31050i | 0.186793 | + | 0.107845i | ||||
\(460\) | 12.3394 | − | 3.30633i | 0.575328 | − | 0.154159i | ||||
\(461\) | −3.50748 | + | 13.0901i | −0.163360 | + | 0.609667i | 0.834884 | + | 0.550426i | \(0.185535\pi\) |
−0.998244 | + | 0.0592409i | \(0.981132\pi\) | |||||||
\(462\) | 0.248024 | − | 16.8563i | 0.0115391 | − | 0.784226i | ||||
\(463\) | −23.6680 | − | 23.6680i | −1.09994 | − | 1.09994i | −0.994416 | − | 0.105527i | \(-0.966347\pi\) |
−0.105527 | − | 0.994416i | \(-0.533653\pi\) | |||||||
\(464\) | 8.89167 | 0.412785 | ||||||||
\(465\) | −14.7620 | −0.684571 | ||||||||
\(466\) | −20.7337 | − | 20.7337i | −0.960472 | − | 0.960472i | ||||
\(467\) | 3.62452 | − | 6.27785i | 0.167723 | − | 0.290504i | −0.769896 | − | 0.638169i | \(-0.779692\pi\) |
0.937619 | + | 0.347665i | \(0.113025\pi\) | |||||||
\(468\) | −0.737223 | − | 2.67998i | −0.0340781 | − | 0.123882i | ||||
\(469\) | −4.00752 | − | 15.8877i | −0.185050 | − | 0.733625i | ||||
\(470\) | −9.01402 | − | 33.6408i | −0.415786 | − | 1.55173i | ||||
\(471\) | −7.44933 | − | 12.9026i | −0.343247 | − | 0.594521i | ||||
\(472\) | 21.6340 | − | 37.4711i | 0.995784 | − | 1.72475i | ||||
\(473\) | −17.0481 | − | 4.56803i | −0.783873 | − | 0.210038i | ||||
\(474\) | 6.80214 | + | 6.80214i | 0.312433 | + | 0.312433i | ||||
\(475\) | 14.7007 | + | 3.93904i | 0.674514 | + | 0.180736i | ||||
\(476\) | −0.138666 | + | 9.42405i | −0.00635572 | + | 0.431951i | ||||
\(477\) | 1.36950 | + | 2.37205i | 0.0627053 | + | 0.108609i | ||||
\(478\) | 21.4877 | − | 12.4059i | 0.982824 | − | 0.567434i | ||||
\(479\) | −4.13756 | + | 4.13756i | −0.189050 | + | 0.189050i | −0.795285 | − | 0.606235i | \(-0.792679\pi\) |
0.606235 | + | 0.795285i | \(0.292679\pi\) | |||||||
\(480\) | 13.5742 | − | 7.83705i | 0.619573 | − | 0.357711i | ||||
\(481\) | 7.85747 | − | 4.60641i | 0.358270 | − | 0.210034i | ||||
\(482\) | − | 19.5987i | − | 0.892695i | ||||||
\(483\) | −11.4042 | − | 0.167801i | −0.518907 | − | 0.00763521i | ||||
\(484\) | 8.49222 | − | 14.7090i | 0.386010 | − | 0.668589i | ||||
\(485\) | 24.3238i | 1.10449i | ||||||||
\(486\) | −0.286939 | + | 1.07087i | −0.0130158 | + | 0.0485757i | ||||
\(487\) | 3.50269 | + | 13.0722i | 0.158722 | + | 0.592358i | 0.998758 | + | 0.0498275i | \(0.0158672\pi\) |
−0.840036 | + | 0.542531i | \(0.817466\pi\) | |||||||
\(488\) | −7.72309 | + | 7.72309i | −0.349608 | + | 0.349608i | ||||
\(489\) | −1.07815 | + | 1.07815i | −0.0487557 | + | 0.0487557i | ||||
\(490\) | 14.1494 | + | 26.2629i | 0.639204 | + | 1.18644i | ||||
\(491\) | 12.2888 | + | 7.09496i | 0.554588 | + | 0.320191i | 0.750970 | − | 0.660336i | \(-0.229586\pi\) |
−0.196383 | + | 0.980527i | \(0.562919\pi\) | |||||||
\(492\) | −0.910375 | + | 3.39757i | −0.0410429 | + | 0.153174i | ||||
\(493\) | −11.0221 | − | 19.0909i | −0.496412 | − | 0.859811i | ||||
\(494\) | 1.57051 | − | 6.02102i | 0.0706607 | − | 0.270899i | ||||
\(495\) | 19.1332 | + | 11.0466i | 0.859973 | + | 0.496506i | ||||
\(496\) | −6.91390 | + | 1.85257i | −0.310443 | + | 0.0831830i | ||||
\(497\) | 13.8772 | − | 13.4748i | 0.622478 | − | 0.604425i | ||||
\(498\) | −1.46176 | + | 0.843948i | −0.0655031 | + | 0.0378182i | ||||
\(499\) | −10.3975 | − | 38.8038i | −0.465454 | − | 1.73710i | −0.655379 | − | 0.755300i | \(-0.727491\pi\) |
0.189925 | − | 0.981799i | \(-0.439175\pi\) | |||||||
\(500\) | 13.6731 | − | 3.66371i | 0.611481 | − | 0.163846i | ||||
\(501\) | 17.0305 | − | 4.56332i | 0.760868 | − | 0.203874i | ||||
\(502\) | −2.94813 | − | 11.0026i | −0.131582 | − | 0.491070i | ||||
\(503\) | 0.0239636 | − | 0.0138354i | 0.00106848 | − | 0.000616889i | −0.499466 | − | 0.866334i | \(-0.666470\pi\) |
0.500534 | + | 0.865717i | \(0.333137\pi\) | |||||||
\(504\) | −7.88078 | + | 1.98785i | −0.351038 | + | 0.0885460i | ||||
\(505\) | −17.5646 | + | 4.70643i | −0.781616 | + | 0.209433i | ||||
\(506\) | 23.7877 | + | 13.7338i | 1.05749 | + | 0.610543i | ||||
\(507\) | −12.9989 | + | 0.172802i | −0.577299 | + | 0.00767442i | ||||
\(508\) | 2.87387 | + | 4.97769i | 0.127507 | + | 0.220849i | ||||
\(509\) | 0.681003 | − | 2.54154i | 0.0301849 | − | 0.112652i | −0.949190 | − | 0.314704i | \(-0.898095\pi\) |
0.979375 | + | 0.202053i | \(0.0647613\pi\) | |||||||
\(510\) | 17.0549 | + | 9.84668i | 0.755206 | + | 0.436018i | ||||
\(511\) | −2.18835 | + | 2.12489i | −0.0968070 | + | 0.0939994i | ||||
\(512\) | 13.4716 | − | 13.4716i | 0.595366 | − | 0.595366i | ||||
\(513\) | 1.10074 | − | 1.10074i | 0.0485987 | − | 0.0485987i | ||||
\(514\) | −1.77138 | − | 6.61088i | −0.0781322 | − | 0.291593i | ||||
\(515\) | 6.06708 | − | 22.6426i | 0.267347 | − | 0.997754i | ||||
\(516\) | 2.36736i | 0.104217i | ||||||||
\(517\) | −23.4842 | + | 40.6758i | −1.03283 | + | 1.78892i | ||||
\(518\) | −3.61005 | − | 6.47082i | −0.158617 | − | 0.284312i | ||||
\(519\) | − | 21.4187i | − | 0.940179i | ||||||
\(520\) | −11.2929 | − | 41.0522i | −0.495225 | − | 1.80026i | ||||
\(521\) | −2.78999 | + | 1.61080i | −0.122232 | + | 0.0705705i | −0.559869 | − | 0.828581i | \(-0.689149\pi\) |
0.437638 | + | 0.899151i | \(0.355815\pi\) | |||||||
\(522\) | 3.73971 | − | 3.73971i | 0.163683 | − | 0.163683i | ||||
\(523\) | 1.92569 | − | 1.11180i | 0.0842045 | − | 0.0486155i | −0.457307 | − | 0.889309i | \(-0.651186\pi\) |
0.541511 | + | 0.840694i | \(0.317852\pi\) | |||||||
\(524\) | −0.873617 | − | 1.51315i | −0.0381641 | − | 0.0661022i | ||||
\(525\) | −25.8641 | − | 0.380565i | −1.12880 | − | 0.0166092i | ||||
\(526\) | −4.60302 | − | 1.23337i | −0.200701 | − | 0.0537777i | ||||
\(527\) | 12.5481 | + | 12.5481i | 0.546602 | + | 0.546602i | ||||
\(528\) | 10.3475 | + | 2.77260i | 0.450316 | + | 0.120662i | ||||
\(529\) | −2.20835 | + | 3.82497i | −0.0960151 | + | 0.166303i | ||||
\(530\) | 5.83642 | + | 10.1090i | 0.253518 | + | 0.439106i | ||||
\(531\) | −3.64542 | − | 13.6049i | −0.158198 | − | 0.590402i | ||||
\(532\) | 3.05441 | + | 0.866787i | 0.132426 | + | 0.0375800i | ||||
\(533\) | 14.3015 | + | 8.13071i | 0.619466 | + | 0.352180i | ||||
\(534\) | −5.03281 | + | 8.71708i | −0.217791 | + | 0.377225i | ||||
\(535\) | 27.5593 | + | 27.5593i | 1.19149 | + | 1.19149i | ||||
\(536\) | 19.0248 | 0.821746 | ||||||||
\(537\) | −17.4569 | −0.753321 | ||||||||
\(538\) | 16.9474 | + | 16.9474i | 0.730654 | + | 0.730654i | ||||
\(539\) | 11.5515 | − | 38.5373i | 0.497557 | − | 1.65992i | ||||
\(540\) | 0.766982 | − | 2.86242i | 0.0330057 | − | 0.123179i | ||||
\(541\) | 32.1469 | − | 8.61373i | 1.38210 | − | 0.370333i | 0.510218 | − | 0.860045i | \(-0.329565\pi\) |
0.871884 | + | 0.489712i | \(0.162898\pi\) | |||||||
\(542\) | 19.9650 | + | 11.5268i | 0.857569 | + | 0.495118i | ||||
\(543\) | 19.2300i | 0.825237i | ||||||||
\(544\) | −18.2001 | − | 4.87669i | −0.780322 | − | 0.209087i | ||||
\(545\) | −21.3410 | −0.914147 | ||||||||
\(546\) | −0.0853090 | + | 10.5755i | −0.00365089 | + | 0.452589i | ||||
\(547\) | 13.0362 | 0.557386 | 0.278693 | − | 0.960380i | \(-0.410099\pi\) | ||||
0.278693 | + | 0.960380i | \(0.410099\pi\) | |||||||
\(548\) | −4.78324 | − | 1.28167i | −0.204330 | − | 0.0547501i | ||||
\(549\) | 3.55543i | 0.151742i | ||||||||
\(550\) | 53.9494 | + | 31.1477i | 2.30041 | + | 1.32814i | ||||
\(551\) | −7.17301 | + | 1.92200i | −0.305580 | + | 0.0818800i | ||||
\(552\) | 3.42746 | − | 12.7914i | 0.145882 | − | 0.544440i | ||||
\(553\) | 11.1848 | + | 20.0481i | 0.475626 | + | 0.852533i | ||||
\(554\) | 0.121280 | + | 0.121280i | 0.00515269 | + | 0.00515269i | ||||
\(555\) | 9.71068 | 0.412195 | ||||||||
\(556\) | −5.86866 | −0.248887 | ||||||||
\(557\) | −18.3312 | − | 18.3312i | −0.776717 | − | 0.776717i | 0.202554 | − | 0.979271i | \(-0.435076\pi\) |
−0.979271 | + | 0.202554i | \(0.935076\pi\) | |||||||
\(558\) | −2.12872 | + | 3.68705i | −0.0901159 | + | 0.156085i | ||||
\(559\) | 10.7138 | + | 2.79457i | 0.453147 | + | 0.118198i | ||||
\(560\) | −18.3810 | + | 4.63643i | −0.776738 | + | 0.195925i | ||||
\(561\) | −6.87384 | − | 25.6535i | −0.290214 | − | 1.08309i | ||||
\(562\) | 7.13685 | + | 12.3614i | 0.301050 | + | 0.521433i | ||||
\(563\) | 4.45278 | − | 7.71244i | 0.187662 | − | 0.325041i | −0.756808 | − | 0.653637i | \(-0.773242\pi\) |
0.944470 | + | 0.328597i | \(0.106576\pi\) | |||||||
\(564\) | 6.08530 | + | 1.63055i | 0.256237 | + | 0.0686586i | ||||
\(565\) | −19.9329 | − | 19.9329i | −0.838583 | − | 0.838583i | ||||
\(566\) | 33.1022 | + | 8.86970i | 1.39139 | + | 0.372821i | ||||
\(567\) | −1.35644 | + | 2.27158i | −0.0569652 | + | 0.0953973i | ||||
\(568\) | 11.2294 | + | 19.4499i | 0.471175 | + | 0.816098i | ||||
\(569\) | −1.35687 | + | 0.783391i | −0.0568831 | + | 0.0328415i | −0.528172 | − | 0.849138i | \(-0.677122\pi\) |
0.471289 | + | 0.881979i | \(0.343789\pi\) | |||||||
\(570\) | 4.69101 | − | 4.69101i | 0.196485 | − | 0.196485i | ||||
\(571\) | 20.1198 | − | 11.6162i | 0.841987 | − | 0.486121i | −0.0159524 | − | 0.999873i | \(-0.505078\pi\) |
0.857939 | + | 0.513752i | \(0.171745\pi\) | |||||||
\(572\) | −7.89531 | + | 13.8874i | −0.330120 | + | 0.580663i | ||||
\(573\) | − | 9.00219i | − | 0.376072i | ||||||
\(574\) | 6.86151 | − | 11.4907i | 0.286394 | − | 0.479612i | ||||
\(575\) | 21.0730 | − | 36.4996i | 0.878807 | − | 1.52214i | ||||
\(576\) | − | 8.24831i | − | 0.343680i | ||||||
\(577\) | 4.76220 | − | 17.7728i | 0.198253 | − | 0.739891i | −0.793147 | − | 0.609030i | \(-0.791559\pi\) |
0.991401 | − | 0.130861i | \(-0.0417743\pi\) | |||||||
\(578\) | −1.24924 | − | 4.66224i | −0.0519616 | − | 0.193924i | ||||
\(579\) | −14.2364 | + | 14.2364i | −0.591643 | + | 0.591643i | ||||
\(580\) | −9.99616 | + | 9.99616i | −0.415068 | + | 0.415068i | ||||
\(581\) | −3.90578 | + | 0.985195i | −0.162039 | + | 0.0408728i | ||||
\(582\) | 6.07527 | + | 3.50756i | 0.251828 | + | 0.145393i | ||||
\(583\) | 4.07433 | − | 15.2056i | 0.168742 | − | 0.629752i | ||||
\(584\) | −1.77081 | − | 3.06712i | −0.0732764 | − | 0.126919i | ||||
\(585\) | −12.0489 | − | 6.85004i | −0.498159 | − | 0.283214i | ||||
\(586\) | 2.86782 | + | 1.65574i | 0.118468 | + | 0.0683978i | ||||
\(587\) | −6.57864 | + | 1.76274i | −0.271529 | + | 0.0727561i | −0.392014 | − | 0.919959i | \(-0.628222\pi\) |
0.120485 | + | 0.992715i | \(0.461555\pi\) | |||||||
\(588\) | −5.39398 | − | 0.158768i | −0.222444 | − | 0.00654750i | ||||
\(589\) | 5.17707 | − | 2.98898i | 0.213317 | − | 0.123159i | ||||
\(590\) | −15.5357 | − | 57.9800i | −0.639595 | − | 2.38700i | ||||
\(591\) | −10.7684 | + | 2.88538i | −0.442952 | + | 0.118689i | ||||
\(592\) | 4.54808 | − | 1.21865i | 0.186925 | − | 0.0500863i | ||||
\(593\) | −1.03386 | − | 3.85840i | −0.0424553 | − | 0.158445i | 0.941444 | − | 0.337170i | \(-0.109470\pi\) |
−0.983899 | + | 0.178724i | \(0.942803\pi\) | |||||||
\(594\) | 5.51811 | − | 3.18588i | 0.226411 | − | 0.130718i | ||||
\(595\) | 32.7398 | + | 33.7176i | 1.34220 | + | 1.38229i | ||||
\(596\) | −6.21083 | + | 1.66419i | −0.254405 | + | 0.0681677i | ||||
\(597\) | 13.7813 | + | 7.95661i | 0.564029 | + | 0.325642i | ||||
\(598\) | −14.9800 | − | 8.51644i | −0.612576 | − | 0.348263i | ||||
\(599\) | 4.74572 | + | 8.21983i | 0.193905 | + | 0.335853i | 0.946541 | − | 0.322584i | \(-0.104551\pi\) |
−0.752636 | + | 0.658437i | \(0.771218\pi\) | |||||||
\(600\) | 7.77332 | − | 29.0104i | 0.317344 | − | 1.18435i | ||||
\(601\) | −7.78855 | − | 4.49672i | −0.317702 | − | 0.183425i | 0.332666 | − | 0.943045i | \(-0.392052\pi\) |
−0.650368 | + | 0.759620i | \(0.725385\pi\) | |||||||
\(602\) | 2.45909 | − | 8.66542i | 0.100225 | − | 0.353176i | ||||
\(603\) | 4.37916 | − | 4.37916i | 0.178333 | − | 0.178333i | ||||
\(604\) | 9.17454 | − | 9.17454i | 0.373307 | − | 0.373307i | ||||
\(605\) | −21.9199 | − | 81.8061i | −0.891170 | − | 3.32589i | ||||
\(606\) | −1.35736 | + | 5.06574i | −0.0551390 | + | 0.205781i | ||||
\(607\) | − | 12.8612i | − | 0.522019i | −0.965336 | − | 0.261010i | \(-0.915945\pi\) | ||
0.965336 | − | 0.261010i | \(-0.0840555\pi\) | |||||||
\(608\) | −3.17366 | + | 5.49695i | −0.128709 | + | 0.222931i | ||||
\(609\) | 11.0221 | − | 6.14921i | 0.446639 | − | 0.249179i | ||||
\(610\) | 15.1522i | 0.613494i | ||||||||
\(611\) | 14.5627 | − | 25.6150i | 0.589144 | − | 1.03627i | ||||
\(612\) | −3.08508 | + | 1.78117i | −0.124707 | + | 0.0719996i | ||||
\(613\) | −11.5678 | + | 11.5678i | −0.467219 | + | 0.467219i | −0.901012 | − | 0.433793i | \(-0.857175\pi\) |
0.433793 | + | 0.901012i | \(0.357175\pi\) | |||||||
\(614\) | −6.29217 | + | 3.63279i | −0.253931 | + | 0.146607i | ||||
\(615\) | 8.76971 | + | 15.1896i | 0.353629 | + | 0.612503i | ||||
\(616\) | 40.1059 | + | 23.9487i | 1.61591 | + | 0.964922i | ||||
\(617\) | 24.1217 | + | 6.46340i | 0.971105 | + | 0.260207i | 0.709294 | − | 0.704913i | \(-0.249014\pi\) |
0.261811 | + | 0.965119i | \(0.415680\pi\) | |||||||
\(618\) | −4.78048 | − | 4.78048i | −0.192299 | − | 0.192299i | ||||
\(619\) | 25.0770 | + | 6.71937i | 1.00793 | + | 0.270074i | 0.724765 | − | 0.688996i | \(-0.241948\pi\) |
0.283167 | + | 0.959071i | \(0.408615\pi\) | |||||||
\(620\) | 5.69002 | − | 9.85541i | 0.228517 | − | 0.395803i | ||||
\(621\) | −2.15542 | − | 3.73329i | −0.0864939 | − | 0.149812i | ||||
\(622\) | −4.86411 | − | 18.1531i | −0.195033 | − | 0.727874i | ||||
\(623\) | −17.2337 | + | 16.7339i | −0.690453 | + | 0.670429i | ||||
\(624\) | −6.50284 | − | 1.69619i | −0.260322 | − | 0.0679018i | ||||
\(625\) | 10.8508 | − | 18.7941i | 0.434031 | − | 0.751763i | ||||
\(626\) | 17.4561 | + | 17.4561i | 0.697684 | + | 0.697684i | ||||
\(627\) | −8.94674 | −0.357299 | ||||||||
\(628\) | 11.4854 | 0.458317 | ||||||||
\(629\) | −8.25432 | − | 8.25432i | −0.329121 | − | 0.329121i | ||||
\(630\) | −5.78076 | + | 9.68079i | −0.230311 | + | 0.385692i | ||||
\(631\) | −7.65427 | + | 28.5661i | −0.304712 | + | 1.13720i | 0.628481 | + | 0.777825i | \(0.283677\pi\) |
−0.933193 | + | 0.359375i | \(0.882990\pi\) | |||||||
\(632\) | −25.7469 | + | 6.89887i | −1.02416 | + | 0.274422i | ||||
\(633\) | 8.29082 | + | 4.78671i | 0.329531 | + | 0.190255i | ||||
\(634\) | 34.2594i | 1.36061i | ||||||||
\(635\) | 27.6842 | + | 7.41795i | 1.09861 | + | 0.294372i | ||||
\(636\) | −2.11151 | −0.0837267 | ||||||||
\(637\) | −7.08589 | + | 24.2238i | −0.280753 | + | 0.959780i | ||||
\(638\) | −30.3962 | −1.20340 | ||||||||
\(639\) | 7.06180 | + | 1.89220i | 0.279360 | + | 0.0748544i | ||||
\(640\) | − | 3.80364i | − | 0.150352i | ||||||
\(641\) | −0.189987 | − | 0.109689i | −0.00750402 | − | 0.00433245i | 0.496243 | − | 0.868183i | \(-0.334712\pi\) |
−0.503747 | + | 0.863851i | \(0.668046\pi\) | |||||||
\(642\) | 10.8575 | − | 2.90926i | 0.428512 | − | 0.114819i | ||||
\(643\) | −9.08673 | + | 33.9121i | −0.358346 | + | 1.33736i | 0.517876 | + | 0.855456i | \(0.326723\pi\) |
−0.876222 | + | 0.481908i | \(0.839944\pi\) | |||||||
\(644\) | 4.50777 | − | 7.54898i | 0.177631 | − | 0.297471i | ||||
\(645\) | 8.34720 | + | 8.34720i | 0.328671 | + | 0.328671i | ||||
\(646\) | −7.97495 | −0.313770 | ||||||||
\(647\) | 0.933583 | 0.0367029 | 0.0183515 | − | 0.999832i | \(-0.494158\pi\) | ||||
0.0183515 | + | 0.999832i | \(0.494158\pi\) | |||||||
\(648\) | −2.17220 | − | 2.17220i | −0.0853320 | − | 0.0853320i | ||||
\(649\) | −40.4751 | + | 70.1050i | −1.58879 | + | 2.75186i | ||||
\(650\) | −33.9739 | − | 19.3149i | −1.33257 | − | 0.757593i | ||||
\(651\) | −7.28930 | + | 7.07790i | −0.285690 | + | 0.277405i | ||||
\(652\) | −0.304222 | − | 1.13537i | −0.0119142 | − | 0.0444646i | ||||
\(653\) | 8.62327 | + | 14.9359i | 0.337455 | + | 0.584489i | 0.983953 | − | 0.178426i | \(-0.0571007\pi\) |
−0.646498 | + | 0.762915i | \(0.723767\pi\) | |||||||
\(654\) | −3.07743 | + | 5.33026i | −0.120337 | + | 0.208430i | ||||
\(655\) | −8.41561 | − | 2.25496i | −0.328825 | − | 0.0881084i | ||||
\(656\) | 6.01360 | + | 6.01360i | 0.234791 | + | 0.234791i | ||||
\(657\) | −1.11360 | − | 0.298389i | −0.0434458 | − | 0.0116413i | ||||
\(658\) | −20.5807 | − | 12.2895i | −0.802318 | − | 0.479094i | ||||
\(659\) | −22.3566 | − | 38.7228i | −0.870890 | − | 1.50843i | −0.861077 | − | 0.508474i | \(-0.830210\pi\) |
−0.00981263 | − | 0.999952i | \(-0.503124\pi\) | |||||||
\(660\) | −14.7498 | + | 8.51581i | −0.574136 | + | 0.331477i | ||||
\(661\) | −13.3671 | + | 13.3671i | −0.519919 | + | 0.519919i | −0.917547 | − | 0.397628i | \(-0.869833\pi\) |
0.397628 | + | 0.917547i | \(0.369833\pi\) | |||||||
\(662\) | −27.3044 | + | 15.7642i | −1.06122 | + | 0.612693i | ||||
\(663\) | 4.41912 | + | 16.0645i | 0.171625 | + | 0.623895i | ||||
\(664\) | − | 4.67700i | − | 0.181503i | ||||||
\(665\) | 13.8259 | − | 7.71345i | 0.536147 | − | 0.299115i | ||||
\(666\) | 1.40031 | − | 2.42540i | 0.0542608 | − | 0.0939824i | ||||
\(667\) | 20.5646i | 0.796265i | ||||||||
\(668\) | −3.51787 | + | 13.1289i | −0.136110 | + | 0.507971i | ||||
\(669\) | 2.27353 | + | 8.48493i | 0.0878998 | + | 0.328047i | ||||
\(670\) | 18.6627 | − | 18.6627i | 0.721002 | − | 0.721002i | ||||
\(671\) | 14.4492 | − | 14.4492i | 0.557805 | − | 0.557805i | ||||
\(672\) | 2.94515 | − | 10.3782i | 0.113612 | − | 0.400349i | ||||
\(673\) | 6.19437 | + | 3.57632i | 0.238776 | + | 0.137857i | 0.614614 | − | 0.788828i | \(-0.289312\pi\) |
−0.375838 | + | 0.926685i | \(0.622645\pi\) | |||||||
\(674\) | 3.46480 | − | 12.9308i | 0.133459 | − | 0.498076i | ||||
\(675\) | −4.88839 | − | 8.46694i | −0.188154 | − | 0.325893i | ||||
\(676\) | 4.89505 | − | 8.74491i | 0.188271 | − | 0.336343i | ||||
\(677\) | −24.7981 | − | 14.3172i | −0.953068 | − | 0.550254i | −0.0590355 | − | 0.998256i | \(-0.518803\pi\) |
−0.894033 | + | 0.448002i | \(0.852136\pi\) | |||||||
\(678\) | −7.85294 | + | 2.10419i | −0.301590 | + | 0.0808109i | ||||
\(679\) | 11.6625 | + | 12.0108i | 0.447565 | + | 0.460933i | ||||
\(680\) | −47.2576 | + | 27.2842i | −1.81225 | + | 1.04630i | ||||
\(681\) | 0.602956 | + | 2.25026i | 0.0231053 | + | 0.0862302i | ||||
\(682\) | 23.6352 | − | 6.33303i | 0.905038 | − | 0.242504i | ||||
\(683\) | 16.7683 | − | 4.49305i | 0.641621 | − | 0.171922i | 0.0766836 | − | 0.997055i | \(-0.475567\pi\) |
0.564938 | + | 0.825134i | \(0.308900\pi\) | |||||||
\(684\) | 0.310594 | + | 1.15915i | 0.0118759 | + | 0.0443214i | ||||
\(685\) | −21.3846 | + | 12.3464i | −0.817062 | + | 0.471731i | ||||
\(686\) | 19.5790 | + | 6.18412i | 0.747530 | + | 0.236111i | ||||
\(687\) | −21.5073 | + | 5.76286i | −0.820554 | + | 0.219867i | ||||
\(688\) | 4.95702 | + | 2.86194i | 0.188985 | + | 0.109110i | ||||
\(689\) | −2.49254 | + | 9.55591i | −0.0949584 | + | 0.364051i | ||||
\(690\) | −9.18575 | − | 15.9102i | −0.349696 | − | 0.605691i | ||||
\(691\) | 7.74711 | − | 28.9126i | 0.294714 | − | 1.09989i | −0.646730 | − | 0.762719i | \(-0.723864\pi\) |
0.941444 | − | 0.337169i | \(-0.109469\pi\) | |||||||
\(692\) | 14.2996 | + | 8.25588i | 0.543589 | + | 0.313841i | ||||
\(693\) | 14.7442 | − | 3.71909i | 0.560086 | − | 0.141277i | ||||
\(694\) | −28.1207 | + | 28.1207i | −1.06745 | + | 1.06745i | ||||
\(695\) | −20.6926 | + | 20.6926i | −0.784915 | + | 0.784915i | ||||
\(696\) | 3.79289 | + | 14.1552i | 0.143769 | + | 0.536553i | ||||
\(697\) | 5.45705 | − | 20.3660i | 0.206700 | − | 0.771417i | ||||
\(698\) | − | 4.48819i | − | 0.169881i | ||||||
\(699\) | 13.2242 | − | 22.9050i | 0.500185 | − | 0.866346i | ||||
\(700\) | 10.2234 | − | 17.1207i | 0.386409 | − | 0.647103i | ||||
\(701\) | 22.5795i | 0.852816i | 0.904531 | + | 0.426408i | \(0.140221\pi\) | ||||
−0.904531 | + | 0.426408i | \(0.859779\pi\) | |||||||
\(702\) | −3.44839 | + | 2.02161i | −0.130151 | + | 0.0763006i | ||||
\(703\) | −3.40556 | + | 1.96620i | −0.128443 | + | 0.0741567i | ||||
\(704\) | −33.5210 | + | 33.5210i | −1.26337 | + | 1.26337i | ||||
\(705\) | 27.2057 | − | 15.7072i | 1.02462 | − | 0.591567i | ||||
\(706\) | −12.1908 | − | 21.1151i | −0.458807 | − | 0.794677i | ||||
\(707\) | −6.41663 | + | 10.7457i | −0.241322 | + | 0.404132i | ||||
\(708\) | 10.4880 | + | 2.81026i | 0.394165 | + | 0.105616i | ||||
\(709\) | −17.9835 | − | 17.9835i | −0.675386 | − | 0.675386i | 0.283567 | − | 0.958952i | \(-0.408482\pi\) |
−0.958952 | + | 0.283567i | \(0.908482\pi\) | |||||||
\(710\) | 30.0953 | + | 8.06401i | 1.12946 | + | 0.302637i | ||||
\(711\) | −4.33848 | + | 7.51446i | −0.162706 | + | 0.281814i | ||||
\(712\) | −13.9454 | − | 24.1542i | −0.522627 | − | 0.905216i | ||||
\(713\) | −4.28462 | − | 15.9904i | −0.160460 | − | 0.598847i | ||||
\(714\) | 13.1427 | − | 3.31512i | 0.491853 | − | 0.124065i | ||||
\(715\) | 21.1279 | + | 76.8048i | 0.790139 | + | 2.87234i | ||||
\(716\) | 6.72878 | − | 11.6546i | 0.251466 | − | 0.435552i | ||||
\(717\) | 15.8253 | + | 15.8253i | 0.591005 | + | 0.591005i | ||||
\(718\) | 12.4152 | 0.463331 | ||||||||
\(719\) | 36.3399 | 1.35525 | 0.677626 | − | 0.735407i | \(-0.263009\pi\) | ||||
0.677626 | + | 0.735407i | \(0.263009\pi\) | |||||||
\(720\) | −5.06640 | − | 5.06640i | −0.188813 | − | 0.188813i | ||||
\(721\) | −7.86057 | − | 14.0896i | −0.292743 | − | 0.524726i | ||||
\(722\) | 4.75652 | − | 17.7516i | 0.177019 | − | 0.660645i | ||||
\(723\) | 17.0756 | − | 4.57540i | 0.635050 | − | 0.170161i | ||||
\(724\) | −12.8383 | − | 7.41221i | −0.477132 | − | 0.275473i | ||||
\(725\) | 46.6396i | 1.73215i | ||||||||
\(726\) | −23.5933 | − | 6.32181i | −0.875630 | − | 0.234624i | ||||
\(727\) | 15.0539 | 0.558317 | 0.279158 | − | 0.960245i | \(-0.409945\pi\) | ||||
0.279158 | + | 0.960245i | \(0.409945\pi\) | |||||||
\(728\) | −25.2595 | − | 14.8565i | −0.936178 | − | 0.550619i | ||||
\(729\) | −1.00000 | −0.0370370 | ||||||||
\(730\) | −4.74584 | − | 1.27164i | −0.175652 | − | 0.0470657i | ||||
\(731\) | − | 14.1907i | − | 0.524860i | ||||||
\(732\) | −2.37368 | − | 1.37044i | −0.0877336 | − | 0.0506530i | ||||
\(733\) | 21.9533 | − | 5.88238i | 0.810865 | − | 0.217271i | 0.170516 | − | 0.985355i | \(-0.445457\pi\) |
0.640349 | + | 0.768084i | \(0.278790\pi\) | |||||||
\(734\) | −2.73812 | + | 10.2188i | −0.101066 | + | 0.377183i | ||||
\(735\) | −19.5787 | + | 18.4591i | −0.722171 | + | 0.680873i | ||||
\(736\) | 12.4291 | + | 12.4291i | 0.458142 | + | 0.458142i | ||||
\(737\) | −35.5936 | −1.31111 | ||||||||
\(738\) | 5.05846 | 0.186205 | ||||||||
\(739\) | −30.0914 | − | 30.0914i | −1.10693 | − | 1.10693i | −0.993552 | − | 0.113379i | \(-0.963832\pi\) |
−0.113379 | − | 0.993552i | \(-0.536168\pi\) | |||||||
\(740\) | −3.74299 | + | 6.48305i | −0.137595 | + | 0.238322i | ||||
\(741\) | 5.61255 | − | 0.0373040i | 0.206182 | − | 0.00137040i | ||||
\(742\) | 7.72888 | + | 2.19332i | 0.283736 | + | 0.0805192i | ||||
\(743\) | −4.23606 | − | 15.8092i | −0.155406 | − | 0.579984i | −0.999070 | − | 0.0431122i | \(-0.986273\pi\) |
0.843664 | − | 0.536871i | \(-0.180394\pi\) | |||||||
\(744\) | −5.89847 | − | 10.2165i | −0.216248 | − | 0.374553i | ||||
\(745\) | −16.0312 | + | 27.7669i | −0.587338 | + | 1.01730i | ||||
\(746\) | 5.05651 | + | 1.35489i | 0.185132 | + | 0.0496060i | ||||
\(747\) | −1.07656 | − | 1.07656i | −0.0393892 | − | 0.0393892i | ||||
\(748\) | 19.7763 | + | 5.29906i | 0.723095 | + | 0.193753i | ||||
\(749\) | 26.8223 | + | 0.394663i | 0.980065 | + | 0.0144207i | ||||
\(750\) | −10.1786 | − | 17.6299i | −0.371670 | − | 0.643752i | ||||
\(751\) | −8.73326 | + | 5.04215i | −0.318681 | + | 0.183991i | −0.650805 | − | 0.759245i | \(-0.725568\pi\) |
0.332123 | + | 0.943236i | \(0.392235\pi\) | |||||||
\(752\) | 10.7708 | − | 10.7708i | 0.392771 | − | 0.392771i | ||||
\(753\) | 8.89792 | − | 5.13722i | 0.324258 | − | 0.187211i | ||||
\(754\) | 19.0684 | − | 0.126739i | 0.694431 | − | 0.00461556i | ||||
\(755\) | − | 64.6979i | − | 2.35460i | ||||||
\(756\) | −0.993710 | − | 1.78117i | −0.0361409 | − | 0.0647806i | ||||
\(757\) | 14.8635 | − | 25.7444i | 0.540224 | − | 0.935696i | −0.458666 | − | 0.888608i | \(-0.651673\pi\) |
0.998891 | − | 0.0470874i | \(-0.0149939\pi\) | |||||||
\(758\) | 16.5278i | 0.600317i | ||||||||
\(759\) | −6.41246 | + | 23.9316i | −0.232757 | + | 0.868663i | ||||
\(760\) | 4.75772 | + | 17.7560i | 0.172581 | + | 0.644080i | ||||
\(761\) | −19.6541 | + | 19.6541i | −0.712461 | + | 0.712461i | −0.967050 | − | 0.254588i | \(-0.918060\pi\) |
0.254588 | + | 0.967050i | \(0.418060\pi\) | |||||||
\(762\) | 5.84489 | − | 5.84489i | 0.211738 | − | 0.211738i | ||||
\(763\) | −10.5379 | + | 10.2323i | −0.381499 | + | 0.370435i | ||||
\(764\) | 6.01005 | + | 3.46990i | 0.217436 | + | 0.125537i | ||||
\(765\) | −4.59751 | + | 17.1581i | −0.166223 | + | 0.620354i | ||||
\(766\) | −16.0237 | − | 27.7539i | −0.578960 | − | 1.00279i | ||||
\(767\) | 25.0989 | − | 44.1477i | 0.906269 | − | 1.59408i | ||||
\(768\) | 13.3365 | + | 7.69982i | 0.481238 | + | 0.277843i | ||||
\(769\) | 32.3580 | − | 8.67030i | 1.16686 | − | 0.312659i | 0.377157 | − | 0.926149i | \(-0.376902\pi\) |
0.789702 | + | 0.613490i | \(0.210235\pi\) | |||||||
\(770\) | 62.8354 | − | 15.8497i | 2.26443 | − | 0.571182i | ||||
\(771\) | 5.34630 | − | 3.08669i | 0.192542 | − | 0.111164i | ||||
\(772\) | −4.01707 | − | 14.9919i | −0.144577 | − | 0.539570i | ||||
\(773\) | −52.0720 | + | 13.9527i | −1.87290 | + | 0.501842i | −0.873001 | + | 0.487719i | \(0.837829\pi\) |
−0.999900 | + | 0.0141230i | \(0.995504\pi\) | |||||||
\(774\) | 3.28854 | − | 0.881161i | 0.118204 | − | 0.0316727i | ||||
\(775\) | −9.71733 | − | 36.2656i | −0.349057 | − | 1.30270i | ||||
\(776\) | −16.8340 | + | 9.71910i | −0.604305 | + | 0.348895i | ||||
\(777\) | 4.79502 | − | 4.65596i | 0.172020 | − | 0.167032i | ||||
\(778\) | 6.64018 | − | 1.77923i | 0.238062 | − | 0.0637885i | ||||
\(779\) | −6.15112 | − | 3.55135i | −0.220387 | − | 0.127240i | ||||
\(780\) | 9.21747 | − | 5.40371i | 0.330039 | − | 0.193484i | ||||
\(781\) | −21.0091 | − | 36.3889i | −0.751766 | − | 1.30210i | ||||
\(782\) | −5.71594 | + | 21.3322i | −0.204402 | + | 0.762837i | ||||
\(783\) | 4.13133 | + | 2.38522i | 0.147642 | + | 0.0852410i | ||||
\(784\) | −6.85329 | + | 11.1025i | −0.244760 | + | 0.396518i | ||||
\(785\) | 40.4969 | − | 40.4969i | 1.44540 | − | 1.44540i | ||||
\(786\) | −1.77677 | + | 1.77677i | −0.0633752 | + | 0.0633752i | ||||
\(787\) | 9.40548 | + | 35.1017i | 0.335269 | + | 1.25124i | 0.903577 | + | 0.428425i | \(0.140931\pi\) |
−0.568308 | + | 0.822816i | \(0.692402\pi\) | |||||||
\(788\) | 2.22434 | − | 8.30136i | 0.0792390 | − | 0.295724i | ||||
\(789\) | − | 4.29839i | − | 0.153027i | ||||||
\(790\) | −18.4893 | + | 32.0244i | −0.657820 | + | 1.13938i | ||||
\(791\) | −19.3998 | − | 0.285449i | −0.689778 | − | 0.0101494i | ||||
\(792\) | 17.6555i | 0.627363i | ||||||||
\(793\) | −9.00415 | + | 9.12464i | −0.319747 | + | 0.324026i | ||||
\(794\) | −27.0227 | + | 15.6016i | −0.959000 | + | 0.553679i | ||||
\(795\) | −7.44506 | + | 7.44506i | −0.264049 | + | 0.264049i | ||||
\(796\) | −10.6240 | + | 6.13377i | −0.376558 | + | 0.217406i | ||||
\(797\) | 9.36828 | + | 16.2263i | 0.331842 | + | 0.574767i | 0.982873 | − | 0.184284i | \(-0.0589967\pi\) |
−0.651031 | + | 0.759051i | \(0.725663\pi\) | |||||||
\(798\) | 0.0671776 | − | 4.56555i | 0.00237806 | − | 0.161619i | ||||
\(799\) | −36.4770 | − | 9.77398i | −1.29046 | − | 0.345779i | ||||
\(800\) | 28.1886 | + | 28.1886i | 0.996618 | + | 0.996618i | ||||
\(801\) | −8.76983 | − | 2.34987i | −0.309867 | − | 0.0830285i | ||||
\(802\) | 20.3053 | − | 35.1698i | 0.717006 | − | 1.24189i | ||||
\(803\) | 3.31301 | + | 5.73831i | 0.116914 | + | 0.202500i | ||||
\(804\) | 1.23567 | + | 4.61157i | 0.0435786 | + | 0.162637i | ||||
\(805\) | −10.7231 | − | 42.5115i | −0.377940 | − | 1.49833i | ||||
\(806\) | −14.8006 | + | 4.07144i | −0.521330 | + | 0.143410i | ||||
\(807\) | −10.8092 | + | 18.7221i | −0.380503 | + | 0.659050i | ||||
\(808\) | −10.2755 | − | 10.2755i | −0.361492 | − | 0.361492i | ||||
\(809\) | −2.87917 | −0.101226 | −0.0506131 | − | 0.998718i | \(-0.516118\pi\) | ||||
−0.0506131 | + | 0.998718i | \(0.516118\pi\) | |||||||
\(810\) | −4.26170 | −0.149741 | ||||||||
\(811\) | −16.4024 | − | 16.4024i | −0.575967 | − | 0.575967i | 0.357822 | − | 0.933790i | \(-0.383519\pi\) |
−0.933790 | + | 0.357822i | \(0.883519\pi\) | |||||||
\(812\) | −0.143150 | + | 9.72883i | −0.00502358 | + | 0.341415i | ||||
\(813\) | −5.38197 | + | 20.0858i | −0.188754 | + | 0.704439i | ||||
\(814\) | −15.5476 | + | 4.16597i | −0.544943 | + | 0.146017i | ||||
\(815\) | −5.07593 | − | 2.93059i | −0.177802 | − | 0.102654i | ||||
\(816\) | 8.61312i | 0.301520i | ||||||||
\(817\) | −4.61751 | − | 1.23726i | −0.161546 | − | 0.0432862i | ||||
\(818\) | −18.0463 | −0.630975 | ||||||||
\(819\) | −9.23396 | + | 2.39457i | −0.322661 | + | 0.0836730i | ||||
\(820\) | −13.5212 | −0.472180 | ||||||||
\(821\) | −28.0065 | − | 7.50432i | −0.977434 | − | 0.261903i | −0.265470 | − | 0.964119i | \(-0.585527\pi\) |
−0.711963 | + | 0.702217i | \(0.752194\pi\) | |||||||
\(822\) | 7.12153i | 0.248392i | ||||||||
\(823\) | 5.70566 | + | 3.29417i | 0.198887 | + | 0.114827i | 0.596136 | − | 0.802883i | \(-0.296702\pi\) |
−0.397249 | + | 0.917711i | \(0.630035\pi\) | |||||||
\(824\) | 18.0947 | − | 4.84846i | 0.630359 | − | 0.168904i | ||||
\(825\) | −14.5432 | + | 54.2758i | −0.506328 | + | 1.88964i | ||||
\(826\) | −35.4709 | − | 21.1810i | −1.23419 | − | 0.736981i | ||||
\(827\) | −16.1577 | − | 16.1577i | −0.561857 | − | 0.561857i | 0.367977 | − | 0.929835i | \(-0.380050\pi\) |
−0.929835 | + | 0.367977i | \(0.880050\pi\) | |||||||
\(828\) | 3.32323 | 0.115490 | ||||||||
\(829\) | 12.1080 | 0.420527 | 0.210263 | − | 0.977645i | \(-0.432568\pi\) | ||||
0.210263 | + | 0.977645i | \(0.432568\pi\) | |||||||
\(830\) | −4.58797 | − | 4.58797i | −0.159251 | − | 0.159251i | ||||
\(831\) | −0.0773537 | + | 0.133980i | −0.00268337 | + | 0.00464773i | ||||
\(832\) | 20.8889 | − | 21.1684i | 0.724193 | − | 0.733884i | ||||
\(833\) | 32.3330 | + | 0.951703i | 1.12027 | + | 0.0329746i | ||||
\(834\) | 2.18439 | + | 8.15224i | 0.0756391 | + | 0.282289i | ||||
\(835\) | 33.8879 | + | 58.6955i | 1.17274 | + | 2.03124i | ||||
\(836\) | 3.44853 | − | 5.97303i | 0.119270 | − | 0.206582i | ||||
\(837\) | −3.70936 | − | 0.993920i | −0.128214 | − | 0.0343549i | ||||
\(838\) | 20.5294 | + | 20.5294i | 0.709177 | + | 0.709177i | ||||
\(839\) | −18.2638 | − | 4.89378i | −0.630537 | − | 0.168952i | −0.0706238 | − | 0.997503i | \(-0.522499\pi\) |
−0.559914 | + | 0.828551i | \(0.689166\pi\) | |||||||
\(840\) | −15.2218 | − | 27.2842i | −0.525200 | − | 0.941393i | ||||
\(841\) | 3.12141 | + | 5.40644i | 0.107635 | + | 0.186429i | ||||
\(842\) | −35.8356 | + | 20.6897i | −1.23498 | + | 0.713013i | ||||
\(843\) | −9.10391 | + | 9.10391i | −0.313555 | + | 0.313555i | ||||
\(844\) | −6.39141 | + | 3.69008i | −0.220001 | + | 0.127018i | ||||
\(845\) | −13.5744 | − | 48.0938i | −0.466973 | − | 1.65448i | ||||
\(846\) | − | 9.06008i | − | 0.311492i | ||||||
\(847\) | −50.0472 | − | 29.8850i | −1.71964 | − | 1.02686i | ||||
\(848\) | −2.55263 | + | 4.42128i | −0.0876576 | + | 0.151827i | ||||
\(849\) | 30.9114i | 1.06088i | ||||||||
\(850\) | −12.9635 | + | 48.3804i | −0.444644 | + | 1.65943i | ||||
\(851\) | 2.81850 | + | 10.5188i | 0.0966168 | + | 0.360579i | ||||
\(852\) | −3.98525 | + | 3.98525i | −0.136532 | + | 0.136532i | ||||
\(853\) | −21.2166 | + | 21.2166i | −0.726442 | + | 0.726442i | −0.969909 | − | 0.243467i | \(-0.921715\pi\) |
0.243467 | + | 0.969909i | \(0.421715\pi\) | |||||||
\(854\) | 7.26498 | + | 7.48197i | 0.248602 | + | 0.256028i | ||||
\(855\) | 5.18225 | + | 2.99198i | 0.177229 | + | 0.102323i | ||||
\(856\) | −8.06128 | + | 30.0851i | −0.275529 | + | 1.02829i | ||||
\(857\) | 19.1266 | + | 33.1282i | 0.653352 | + | 1.13164i | 0.982304 | + | 0.187292i | \(0.0599711\pi\) |
−0.328952 | + | 0.944347i | \(0.606696\pi\) | |||||||
\(858\) | 22.2300 | + | 5.79842i | 0.758918 | + | 0.197955i | ||||
\(859\) | −32.4832 | − | 18.7542i | −1.10831 | − | 0.639885i | −0.169921 | − | 0.985458i | \(-0.554351\pi\) |
−0.938392 | + | 0.345573i | \(0.887685\pi\) | |||||||
\(860\) | −8.79020 | + | 2.35533i | −0.299743 | + | 0.0803160i | ||||
\(861\) | 11.6133 | + | 3.29564i | 0.395780 | + | 0.112315i | ||||
\(862\) | −26.9543 | + | 15.5621i | −0.918066 | + | 0.530046i | ||||
\(863\) | 6.07524 | + | 22.6731i | 0.206803 | + | 0.771801i | 0.988892 | + | 0.148634i | \(0.0474876\pi\) |
−0.782089 | + | 0.623167i | \(0.785846\pi\) | |||||||
\(864\) | 3.93855 | − | 1.05533i | 0.133992 | − | 0.0359031i | ||||
\(865\) | 79.5294 | − | 21.3098i | 2.70408 | − | 0.724556i | ||||
\(866\) | −5.34302 | − | 19.9404i | −0.181563 | − | 0.677603i | ||||
\(867\) | 3.77040 | − | 2.17684i | 0.128050 | − | 0.0739295i | ||||
\(868\) | −1.91568 | − | 7.59467i | −0.0650226 | − | 0.257780i | ||||
\(869\) | 48.1701 | − | 12.9072i | 1.63406 | − | 0.437845i | ||||
\(870\) | 17.6065 | + | 10.1651i | 0.596916 | + | 0.344630i | ||||
\(871\) | 22.3289 | − | 0.148410i | 0.756587 | − | 0.00502868i | ||||
\(872\) | −8.52725 | − | 14.7696i | −0.288769 | − | 0.500163i | ||||
\(873\) | −1.63771 | + | 6.11203i | −0.0554282 | + | 0.206861i | ||||
\(874\) | 6.44293 | + | 3.71983i | 0.217935 | + | 0.125825i | ||||
\(875\) | −11.8821 | − | 47.1064i | −0.401690 | − | 1.59249i | ||||
\(876\) | 0.628450 | − | 0.628450i | 0.0212333 | − | 0.0212333i | ||||
\(877\) | 24.5901 | − | 24.5901i | 0.830349 | − | 0.830349i | −0.157215 | − | 0.987564i | \(-0.550252\pi\) |
0.987564 | + | 0.157215i | \(0.0502516\pi\) | |||||||
\(878\) | 1.48811 | + | 5.55371i | 0.0502214 | + | 0.187429i | ||||
\(879\) | −0.773079 | + | 2.88517i | −0.0260753 | + | 0.0973144i | ||||
\(880\) | 41.1795i | 1.38816i | ||||||||
\(881\) | 3.53414 | − | 6.12131i | 0.119068 | − | 0.206232i | −0.800330 | − | 0.599559i | \(-0.795343\pi\) |
0.919399 | + | 0.393327i | \(0.128676\pi\) | |||||||
\(882\) | 1.78716 | + | 7.55195i | 0.0601767 | + | 0.254287i | ||||
\(883\) | − | 40.0082i | − | 1.34638i | −0.739468 | − | 0.673191i | \(-0.764923\pi\) | ||
0.739468 | − | 0.673191i | \(-0.235077\pi\) | |||||||
\(884\) | −12.4284 | − | 3.24179i | −0.418011 | − | 0.109033i | ||||
\(885\) | 46.8891 | − | 27.0715i | 1.57616 | − | 0.909997i | ||||
\(886\) | −18.1941 | + | 18.1941i | −0.611244 | + | 0.611244i | ||||
\(887\) | −8.67338 | + | 5.00758i | −0.291224 | + | 0.168138i | −0.638494 | − | 0.769627i | \(-0.720442\pi\) |
0.347270 | + | 0.937765i | \(0.387109\pi\) | |||||||
\(888\) | 3.88011 | + | 6.72055i | 0.130208 | + | 0.225527i | ||||
\(889\) | 17.2268 | − | 9.61077i | 0.577768 | − | 0.322335i | ||||
\(890\) | −37.3744 | − | 10.0144i | −1.25279 | − | 0.335685i | ||||
\(891\) | 4.06398 | + | 4.06398i | 0.136149 | + | 0.136149i | ||||
\(892\) | −6.54105 | − | 1.75267i | −0.219011 | − | 0.0586837i | ||||
\(893\) | −6.36073 | + | 11.0171i | −0.212854 | + | 0.368674i | ||||
\(894\) | 4.62349 | + | 8.00812i | 0.154633 | + | 0.267832i | ||||
\(895\) | −17.3681 | − | 64.8188i | −0.580553 | − | 2.16665i | ||||
\(896\) | −1.82372 | − | 1.87819i | −0.0609262 | − | 0.0627459i | ||||
\(897\) | 3.92294 | − | 15.0397i | 0.130983 | − | 0.502162i | ||||
\(898\) | 2.75004 | − | 4.76321i | 0.0917701 | − | 0.158950i | ||||
\(899\) | 12.9539 | + | 12.9539i | 0.432036 | + | 0.432036i | ||||
\(900\) | 7.53694 | 0.251231 | ||||||||
\(901\) | 12.6570 | 0.421665 | ||||||||
\(902\) | −20.5575 | − | 20.5575i | −0.684490 | − | 0.684490i | ||||
\(903\) | 8.12396 | + | 0.119536i | 0.270349 | + | 0.00397791i | ||||
\(904\) | 5.83050 | − | 21.7597i | 0.193920 | − | 0.723718i | ||||
\(905\) | −71.4023 | + | 19.1322i | −2.37349 | + | 0.635975i | ||||
\(906\) | −16.1594 | − | 9.32961i | −0.536859 | − | 0.309956i | ||||
\(907\) | − | 23.7062i | − | 0.787151i | −0.919292 | − | 0.393576i | \(-0.871238\pi\) | ||
0.919292 | − | 0.393576i | \(-0.128762\pi\) | |||||||
\(908\) | −1.73473 | − | 0.464820i | −0.0575691 | − | 0.0154256i | ||||
\(909\) | −4.73048 | −0.156900 | ||||||||
\(910\) | −39.3524 | + | 10.2049i | −1.30452 | + | 0.338291i | ||||
\(911\) | 26.0537 | 0.863197 | 0.431599 | − | 0.902066i | \(-0.357950\pi\) | ||||
0.431599 | + | 0.902066i | \(0.357950\pi\) | |||||||
\(912\) | 2.80263 | + | 0.750963i | 0.0928044 | + | 0.0248669i | ||||
\(913\) | 8.75023i | 0.289590i | ||||||||
\(914\) | −3.46703 | − | 2.00169i | −0.114679 | − | 0.0662101i | ||||
\(915\) | −13.2016 | + | 3.53735i | −0.436430 | + | 0.116941i | ||||
\(916\) | 4.44260 | − | 16.5800i | 0.146788 | − | 0.547819i | ||||
\(917\) | −5.23671 | + | 2.92154i | −0.172931 | + | 0.0964779i | ||||
\(918\) | 3.62255 | + | 3.62255i | 0.119562 | + | 0.119562i | ||||
\(919\) | 21.5034 | 0.709331 | 0.354665 | − | 0.934993i | \(-0.384595\pi\) | ||||
0.354665 | + | 0.934993i | \(0.384595\pi\) | |||||||
\(920\) | 50.9056 | 1.67831 | ||||||||
\(921\) | −4.63406 | − | 4.63406i | −0.152697 | − | 0.152697i | ||||
\(922\) | −7.51212 | + | 13.0114i | −0.247398 | + | 0.428507i | ||||
\(923\) | 13.3314 | + | 22.7402i | 0.438807 | + | 0.748503i | ||||
\(924\) | −3.20023 | + | 11.2771i | −0.105280 | + | 0.370988i | ||||
\(925\) | 6.39222 | + | 23.8561i | 0.210175 | + | 0.784384i | ||||
\(926\) | −18.5541 | − | 32.1366i | −0.609724 | − | 1.05607i | ||||
\(927\) | 3.04904 | − | 5.28110i | 0.100144 | − | 0.173454i | ||||
\(928\) | −18.7887 | − | 5.03441i | −0.616768 | − | 0.165263i | ||||
\(929\) | 14.7266 | + | 14.7266i | 0.483163 | + | 0.483163i | 0.906140 | − | 0.422977i | \(-0.139015\pi\) |
−0.422977 | + | 0.906140i | \(0.639015\pi\) | |||||||
\(930\) | −15.8082 | − | 4.23579i | −0.518371 | − | 0.138897i | ||||
\(931\) | 3.12874 | − | 10.4379i | 0.102540 | − | 0.342088i | ||||
\(932\) | 10.1946 | + | 17.6575i | 0.333934 | + | 0.578391i | ||||
\(933\) | 14.6806 | − | 8.47587i | 0.480622 | − | 0.277487i | ||||
\(934\) | 5.68275 | − | 5.68275i | 0.185945 | − | 0.185945i | ||||
\(935\) | 88.4146 | − | 51.0462i | 2.89147 | − | 1.66939i | ||||
\(936\) | −0.0736159 | − | 11.0758i | −0.00240621 | − | 0.362025i | ||||
\(937\) | 40.1824i | 1.31270i | 0.754456 | + | 0.656350i | \(0.227901\pi\) | ||||
−0.754456 | + | 0.656350i | \(0.772099\pi\) | |||||||
\(938\) | 0.267259 | − | 18.1636i | 0.00872631 | − | 0.593061i | ||||
\(939\) | −11.1337 | + | 19.2841i | −0.363333 | + | 0.629312i | ||||
\(940\) | 24.2174i | 0.789885i | ||||||||
\(941\) | −11.3227 | + | 42.2569i | −0.369109 | + | 1.37754i | 0.492654 | + | 0.870225i | \(0.336027\pi\) |
−0.861764 | + | 0.507310i | \(0.830640\pi\) | |||||||
\(942\) | −4.27501 | − | 15.9545i | −0.139287 | − | 0.519827i | ||||
\(943\) | −13.9082 | + | 13.9082i | −0.452914 | + | 0.452914i | ||||
\(944\) | 18.5635 | − | 18.5635i | 0.604192 | − | 0.604192i | ||||
\(945\) | −9.78408 | − | 2.77655i | −0.318276 | − | 0.0903211i | ||||
\(946\) | −16.9456 | − | 9.78354i | −0.550949 | − | 0.318090i | ||||
\(947\) | −4.04616 | + | 15.1005i | −0.131483 | + | 0.490700i | −0.999988 | − | 0.00498051i | \(-0.998415\pi\) |
0.868505 | + | 0.495681i | \(0.165081\pi\) | |||||||
\(948\) | −3.34454 | − | 5.79291i | −0.108626 | − | 0.188145i | ||||
\(949\) | −2.10228 | − | 3.58599i | −0.0682427 | − | 0.116406i | ||||
\(950\) | 14.6123 | + | 8.43640i | 0.474085 | + | 0.273713i | ||||
\(951\) | −29.8490 | + | 7.99803i | −0.967921 | + | 0.259354i | ||||
\(952\) | −10.2534 | + | 36.1311i | −0.332313 | + | 1.17102i | ||||
\(953\) | −4.47237 | + | 2.58213i | −0.144874 | + | 0.0836433i | −0.570685 | − | 0.821169i | \(-0.693322\pi\) |
0.425811 | + | 0.904812i | \(0.359989\pi\) | |||||||
\(954\) | 0.785928 | + | 2.93312i | 0.0254454 | + | 0.0949634i | ||||
\(955\) | 33.4258 | − | 8.95642i | 1.08163 | − | 0.289823i | ||||
\(956\) | −16.6651 | + | 4.46541i | −0.538989 | + | 0.144422i | ||||
\(957\) | −7.09614 | − | 26.4832i | −0.229386 | − | 0.856079i | ||||
\(958\) | −5.61802 | + | 3.24357i | −0.181510 | + | 0.104795i | ||||
\(959\) | −4.63975 | + | 16.3497i | −0.149825 | + | 0.527959i | ||||
\(960\) | 30.6266 | − | 8.20637i | 0.988469 | − | 0.264859i | ||||
\(961\) | 14.0753 | + | 8.12639i | 0.454043 | + | 0.262142i | ||||
\(962\) | 9.73609 | − | 2.67826i | 0.313904 | − | 0.0863505i | ||||
\(963\) | 5.06948 | + | 8.78060i | 0.163362 | + | 0.282951i | ||||
\(964\) | −3.52719 | + | 13.1636i | −0.113603 | + | 0.423972i | ||||
\(965\) | −67.0246 | − | 38.6967i | −2.15760 | − | 1.24569i | ||||
\(966\) | −12.1642 | − | 3.45199i | −0.391378 | − | 0.111066i | ||||
\(967\) | 20.3723 | − | 20.3723i | 0.655129 | − | 0.655129i | −0.299095 | − | 0.954223i | \(-0.596685\pi\) |
0.954223 | + | 0.299095i | \(0.0966846\pi\) | |||||||
\(968\) | 47.8577 | − | 47.8577i | 1.53820 | − | 1.53820i | ||||
\(969\) | −1.86179 | − | 6.94830i | −0.0598093 | − | 0.223211i | ||||
\(970\) | −6.97945 | + | 26.0477i | −0.224097 | + | 0.836340i | ||||
\(971\) | 34.8524i | 1.11847i | 0.829011 | + | 0.559233i | \(0.188904\pi\) | ||||
−0.829011 | + | 0.559233i | \(0.811096\pi\) | |||||||
\(972\) | 0.385451 | − | 0.667621i | 0.0123633 | − | 0.0214139i | ||||
\(973\) | −0.296328 | + | 20.1392i | −0.00949984 | + | 0.645633i | ||||
\(974\) | 15.0037i | 0.480750i | ||||||||
\(975\) | 8.89704 | − | 34.1094i | 0.284933 | − | 1.09238i | ||||
\(976\) | −5.73914 | + | 3.31349i | −0.183705 | + | 0.106062i | ||||
\(977\) | −0.132769 | + | 0.132769i | −0.00424765 | + | 0.00424765i | −0.709227 | − | 0.704980i | \(-0.750956\pi\) |
0.704980 | + | 0.709227i | \(0.250956\pi\) | |||||||
\(978\) | −1.46393 | + | 0.845198i | −0.0468112 | + | 0.0270264i | ||||
\(979\) | 26.0906 | + | 45.1903i | 0.833859 | + | 1.44429i | ||||
\(980\) | −4.77703 | − | 20.1862i | −0.152597 | − | 0.644825i | ||||
\(981\) | −5.36251 | − | 1.43688i | −0.171212 | − | 0.0458761i | ||||
\(982\) | 11.1239 | + | 11.1239i | 0.354979 | + | 0.354979i | ||||
\(983\) | 9.53724 | + | 2.55550i | 0.304191 | + | 0.0815077i | 0.407686 | − | 0.913122i | \(-0.366336\pi\) |
−0.103495 | + | 0.994630i | \(0.533003\pi\) | |||||||
\(984\) | −7.00825 | + | 12.1386i | −0.223415 | + | 0.386966i | ||||
\(985\) | −21.4273 | − | 37.1131i | −0.682729 | − | 1.18252i | ||||
\(986\) | −6.32536 | − | 23.6066i | −0.201440 | − | 0.751786i | ||||
\(987\) | 5.90274 | − | 20.8003i | 0.187886 | − | 0.662080i | ||||
\(988\) | −2.13846 | + | 3.76143i | −0.0680334 | + | 0.119667i | ||||
\(989\) | −6.61908 | + | 11.4646i | −0.210474 | + | 0.364552i | ||||
\(990\) | 17.3195 | + | 17.3195i | 0.550449 | + | 0.550449i | ||||
\(991\) | 46.8607 | 1.48858 | 0.744290 | − | 0.667856i | \(-0.232788\pi\) | ||||
0.744290 | + | 0.667856i | \(0.232788\pi\) | |||||||
\(992\) | 15.6584 | 0.497155 | ||||||||
\(993\) | −20.1091 | − | 20.1091i | −0.638145 | − | 0.638145i | ||||
\(994\) | 18.7271 | − | 10.4478i | 0.593989 | − | 0.331384i | ||||
\(995\) | −15.8323 | + | 59.0870i | −0.501918 | + | 1.87318i | ||||
\(996\) | 1.13369 | − | 0.303772i | 0.0359224 | − | 0.00962539i | ||||
\(997\) | 26.2308 | + | 15.1444i | 0.830738 | + | 0.479627i | 0.854105 | − | 0.520100i | \(-0.174105\pi\) |
−0.0233672 | + | 0.999727i | \(0.507439\pi\) | |||||||
\(998\) | − | 44.5373i | − | 1.40980i | ||||||
\(999\) | 2.44008 | + | 0.653817i | 0.0772006 | + | 0.0206858i |
(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.cg.b.19.7 | yes | 40 | |
3.2 | odd | 2 | 819.2.gh.d.19.4 | 40 | |||
7.3 | odd | 6 | 273.2.bt.b.136.4 | ✓ | 40 | ||
13.11 | odd | 12 | 273.2.bt.b.271.4 | yes | 40 | ||
21.17 | even | 6 | 819.2.et.d.136.7 | 40 | |||
39.11 | even | 12 | 819.2.et.d.271.7 | 40 | |||
91.24 | even | 12 | inner | 273.2.cg.b.115.7 | yes | 40 | |
273.206 | odd | 12 | 819.2.gh.d.388.4 | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.b.136.4 | ✓ | 40 | 7.3 | odd | 6 | ||
273.2.bt.b.271.4 | yes | 40 | 13.11 | odd | 12 | ||
273.2.cg.b.19.7 | yes | 40 | 1.1 | even | 1 | trivial | |
273.2.cg.b.115.7 | yes | 40 | 91.24 | even | 12 | inner | |
819.2.et.d.136.7 | 40 | 21.17 | even | 6 | |||
819.2.et.d.271.7 | 40 | 39.11 | even | 12 | |||
819.2.gh.d.19.4 | 40 | 3.2 | odd | 2 | |||
819.2.gh.d.388.4 | 40 | 273.206 | odd | 12 |