Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [73,2,Mod(3,73)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(73, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("73.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 73 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 73.h (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: | \(0.582907934755\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} + 28 x^{18} + 326 x^{16} + 2044 x^{14} + 7471 x^{12} + 16090 x^{10} + 19590 x^{8} + 12030 x^{6} + 2877 x^{4} + 230 x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 49.4 | ||
Root | \(-0.0678852i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 73.49 |
Dual form | 73.2.h.a.3.4 |
$q$-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 \(\left(\mathbb{Z}/73\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0339426 | + | 0.0587903i | 0.0240010 | + | 0.0415710i | 0.877776 | − | 0.479070i | \(-0.159026\pi\) |
−0.853775 | + | 0.520641i | \(0.825693\pi\) | |||||||
\(3\) | − | 1.73613i | − | 1.00235i | −0.865345 | − | 0.501176i | \(-0.832901\pi\) | ||
0.865345 | − | 0.501176i | \(-0.167099\pi\) | |||||||
\(4\) | 0.997696 | − | 1.72806i | 0.498848 | − | 0.864030i | ||||
\(5\) | −2.59207 | + | 0.694543i | −1.15921 | + | 0.310609i | −0.786650 | − | 0.617400i | \(-0.788186\pi\) |
−0.372559 | + | 0.928009i | \(0.621519\pi\) | |||||||
\(6\) | 0.102067 | − | 0.0589286i | 0.0416688 | − | 0.0240575i | ||||
\(7\) | 0.823696 | + | 0.823696i | 0.311328 | + | 0.311328i | 0.845424 | − | 0.534096i | \(-0.179348\pi\) |
−0.534096 | + | 0.845424i | \(0.679348\pi\) | |||||||
\(8\) | 0.271228 | 0.0958935 | ||||||||
\(9\) | −0.0141334 | −0.00471113 | ||||||||
\(10\) | −0.128814 | − | 0.128814i | −0.0407345 | − | 0.0407345i | ||||
\(11\) | 1.27209 | + | 4.74749i | 0.383548 | + | 1.43142i | 0.840443 | + | 0.541901i | \(0.182295\pi\) |
−0.456894 | + | 0.889521i | \(0.651038\pi\) | |||||||
\(12\) | −3.00013 | − | 1.73213i | −0.866063 | − | 0.500022i | ||||
\(13\) | 4.09939 | + | 1.09843i | 1.13696 | + | 0.304649i | 0.777730 | − | 0.628598i | \(-0.216371\pi\) |
0.359235 | + | 0.933247i | \(0.383038\pi\) | |||||||
\(14\) | −0.0204669 | + | 0.0763837i | −0.00547002 | + | 0.0204144i | ||||
\(15\) | 1.20581 | + | 4.50016i | 0.311340 | + | 1.16194i | ||||
\(16\) | −1.98619 | − | 3.44017i | −0.496546 | − | 0.860044i | ||||
\(17\) | −3.48348 | − | 3.48348i | −0.844867 | − | 0.844867i | 0.144620 | − | 0.989487i | \(-0.453804\pi\) |
−0.989487 | + | 0.144620i | \(0.953804\pi\) | |||||||
\(18\) | −0.000479724 | 0 | 0.000830906i | −0.000113072 | 0 | 0.000195846i | ||||
\(19\) | −6.00388 | + | 3.46634i | −1.37738 | + | 0.795233i | −0.991844 | − | 0.127457i | \(-0.959318\pi\) |
−0.385541 | + | 0.922691i | \(0.625985\pi\) | |||||||
\(20\) | −1.38588 | + | 5.17219i | −0.309893 | + | 1.15654i | ||||
\(21\) | 1.43004 | − | 1.43004i | 0.312060 | − | 0.312060i | ||||
\(22\) | −0.235928 | + | 0.235928i | −0.0503001 | + | 0.0503001i | ||||
\(23\) | −0.846521 | − | 0.488739i | −0.176512 | − | 0.101909i | 0.409141 | − | 0.912471i | \(-0.365828\pi\) |
−0.585653 | + | 0.810562i | \(0.699162\pi\) | |||||||
\(24\) | − | 0.470886i | − | 0.0961191i | ||||||
\(25\) | 1.90630 | − | 1.10060i | 0.381260 | − | 0.220121i | ||||
\(26\) | 0.0745669 | + | 0.278287i | 0.0146238 | + | 0.0545767i | ||||
\(27\) | − | 5.18384i | − | 0.997631i | ||||||
\(28\) | 2.24519 | − | 0.601598i | 0.424302 | − | 0.113691i | ||||
\(29\) | 4.74401 | + | 1.27115i | 0.880941 | + | 0.236047i | 0.670813 | − | 0.741627i | \(-0.265945\pi\) |
0.210128 | + | 0.977674i | \(0.432612\pi\) | |||||||
\(30\) | −0.223637 | + | 0.223637i | −0.0408304 | + | 0.0408304i | ||||
\(31\) | −0.234430 | − | 0.0628153i | −0.0421048 | − | 0.0112820i | 0.237705 | − | 0.971337i | \(-0.423605\pi\) |
−0.279810 | + | 0.960055i | \(0.590271\pi\) | |||||||
\(32\) | 0.406060 | − | 0.703317i | 0.0717820 | − | 0.124330i | ||||
\(33\) | 8.24224 | − | 2.20850i | 1.43479 | − | 0.384451i | ||||
\(34\) | 0.0865564 | − | 0.323033i | 0.0148443 | − | 0.0553997i | ||||
\(35\) | −2.70717 | − | 1.56298i | −0.457595 | − | 0.264192i | ||||
\(36\) | −0.0141008 | + | 0.0244233i | −0.00235014 | + | 0.00407056i | ||||
\(37\) | 0.324066 | − | 0.561299i | 0.0532762 | − | 0.0922771i | −0.838157 | − | 0.545428i | \(-0.816367\pi\) |
0.891434 | + | 0.453151i | \(0.149700\pi\) | |||||||
\(38\) | −0.407574 | − | 0.235313i | −0.0661173 | − | 0.0381728i | ||||
\(39\) | 1.90701 | − | 7.11705i | 0.305366 | − | 1.13964i | ||||
\(40\) | −0.703041 | + | 0.188379i | −0.111161 | + | 0.0297854i | ||||
\(41\) | −3.76100 | + | 6.51424i | −0.587369 | + | 1.01735i | 0.407207 | + | 0.913336i | \(0.366503\pi\) |
−0.994576 | + | 0.104017i | \(0.966830\pi\) | |||||||
\(42\) | 0.132612 | + | 0.0355332i | 0.0204624 | + | 0.00548289i | ||||
\(43\) | −3.45863 | + | 3.45863i | −0.527436 | + | 0.527436i | −0.919807 | − | 0.392371i | \(-0.871655\pi\) |
0.392371 | + | 0.919807i | \(0.371655\pi\) | |||||||
\(44\) | 9.47310 | + | 2.53831i | 1.42812 | + | 0.382665i | ||||
\(45\) | 0.0366347 | − | 0.00981624i | 0.00546118 | − | 0.00146332i | ||||
\(46\) | − | 0.0663563i | − | 0.00978370i | ||||||
\(47\) | −2.08759 | − | 7.79100i | −0.304507 | − | 1.13643i | −0.933369 | − | 0.358917i | \(-0.883146\pi\) |
0.628863 | − | 0.777516i | \(-0.283521\pi\) | |||||||
\(48\) | −5.97258 | + | 3.44827i | −0.862067 | + | 0.497715i | ||||
\(49\) | − | 5.64305i | − | 0.806150i | ||||||
\(50\) | 0.129410 | + | 0.0747146i | 0.0183013 | + | 0.0105662i | ||||
\(51\) | −6.04775 | + | 6.04775i | −0.846855 | + | 0.846855i | ||||
\(52\) | 5.98809 | − | 5.98809i | 0.830398 | − | 0.830398i | ||||
\(53\) | 0.988907 | − | 3.69065i | 0.135837 | − | 0.506950i | −0.864156 | − | 0.503224i | \(-0.832147\pi\) |
0.999993 | − | 0.00372640i | \(-0.00118615\pi\) | |||||||
\(54\) | 0.304759 | − | 0.175953i | 0.0414725 | − | 0.0239442i | ||||
\(55\) | −6.59467 | − | 11.4223i | −0.889225 | − | 1.54018i | ||||
\(56\) | 0.223409 | + | 0.223409i | 0.0298543 | + | 0.0298543i | ||||
\(57\) | 6.01801 | + | 10.4235i | 0.797104 | + | 1.38063i | ||||
\(58\) | 0.0862925 | + | 0.322048i | 0.0113308 | + | 0.0422870i | ||||
\(59\) | −1.75624 | + | 6.55437i | −0.228643 | + | 0.853307i | 0.752269 | + | 0.658856i | \(0.228959\pi\) |
−0.980912 | + | 0.194451i | \(0.937707\pi\) | |||||||
\(60\) | 8.97957 | + | 2.40607i | 1.15926 | + | 0.310622i | ||||
\(61\) | 9.03876 | + | 5.21853i | 1.15729 | + | 0.668164i | 0.950654 | − | 0.310253i | \(-0.100414\pi\) |
0.206640 | + | 0.978417i | \(0.433747\pi\) | |||||||
\(62\) | −0.00426423 | − | 0.0159143i | −0.000541557 | − | 0.00202112i | ||||
\(63\) | −0.0116416 | − | 0.0116416i | −0.00146671 | − | 0.00146671i | ||||
\(64\) | −7.88961 | −0.986201 | ||||||||
\(65\) | −11.3888 | −1.41261 | ||||||||
\(66\) | 0.409601 | + | 0.409601i | 0.0504184 | + | 0.0504184i | ||||
\(67\) | −8.32687 | + | 4.80752i | −1.01729 | + | 0.587332i | −0.913317 | − | 0.407248i | \(-0.866488\pi\) |
−0.103971 | + | 0.994580i | \(0.533155\pi\) | |||||||
\(68\) | −9.49511 | + | 2.54421i | −1.15145 | + | 0.308530i | ||||
\(69\) | −0.848513 | + | 1.46967i | −0.102149 | + | 0.176927i | ||||
\(70\) | − | 0.212207i | − | 0.0253636i | ||||||
\(71\) | 2.40595 | + | 4.16722i | 0.285533 | + | 0.494558i | 0.972738 | − | 0.231905i | \(-0.0744960\pi\) |
−0.687205 | + | 0.726463i | \(0.741163\pi\) | |||||||
\(72\) | −0.00383337 | −0.000451767 | ||||||||
\(73\) | 5.64828 | − | 6.41069i | 0.661081 | − | 0.750315i | ||||
\(74\) | 0.0439986 | 0.00511473 | ||||||||
\(75\) | −1.91079 | − | 3.30958i | −0.220638 | − | 0.382157i | ||||
\(76\) | 13.8334i | 1.58680i | ||||||||
\(77\) | −2.86267 | + | 4.95830i | −0.326232 | + | 0.565050i | ||||
\(78\) | 0.483142 | − | 0.129458i | 0.0547051 | − | 0.0146582i | ||||
\(79\) | 8.33547 | − | 4.81249i | 0.937814 | − | 0.541447i | 0.0485396 | − | 0.998821i | \(-0.484543\pi\) |
0.889274 | + | 0.457374i | \(0.151210\pi\) | |||||||
\(80\) | 7.53767 | + | 7.53767i | 0.842738 | + | 0.842738i | ||||
\(81\) | −9.04220 | −1.00469 | ||||||||
\(82\) | −0.510632 | −0.0563898 | ||||||||
\(83\) | −5.35635 | − | 5.35635i | −0.587935 | − | 0.587935i | 0.349137 | − | 0.937072i | \(-0.386475\pi\) |
−0.937072 | + | 0.349137i | \(0.886475\pi\) | |||||||
\(84\) | −1.04445 | − | 3.89794i | −0.113959 | − | 0.425300i | ||||
\(85\) | 11.4488 | + | 6.60998i | 1.24180 | + | 0.716954i | ||||
\(86\) | −0.320729 | − | 0.0859390i | −0.0345850 | − | 0.00926704i | ||||
\(87\) | 2.20688 | − | 8.23620i | 0.236603 | − | 0.883014i | ||||
\(88\) | 0.345025 | + | 1.28765i | 0.0367798 | + | 0.137264i | ||||
\(89\) | −6.08382 | − | 10.5375i | −0.644884 | − | 1.11697i | −0.984328 | − | 0.176345i | \(-0.943573\pi\) |
0.339445 | − | 0.940626i | \(-0.389761\pi\) | |||||||
\(90\) | 0.00182058 | + | 0.00182058i | 0.000191906 | + | 0.000191906i | ||||
\(91\) | 2.47188 | + | 4.28142i | 0.259123 | + | 0.448814i | ||||
\(92\) | −1.68914 | + | 0.975226i | −0.176105 | + | 0.101674i | ||||
\(93\) | −0.109055 | + | 0.407000i | −0.0113085 | + | 0.0422039i | ||||
\(94\) | 0.387177 | − | 0.387177i | 0.0399342 | − | 0.0399342i | ||||
\(95\) | 13.1549 | − | 13.1549i | 1.34967 | − | 1.34967i | ||||
\(96\) | −1.22105 | − | 0.704972i | −0.124623 | − | 0.0719509i | ||||
\(97\) | − | 7.81504i | − | 0.793497i | −0.917927 | − | 0.396748i | \(-0.870139\pi\) | ||
0.917927 | − | 0.396748i | \(-0.129861\pi\) | |||||||
\(98\) | 0.331757 | − | 0.191540i | 0.0335125 | − | 0.0193484i | ||||
\(99\) | −0.0179789 | − | 0.0670981i | −0.00180695 | − | 0.00674361i | ||||
\(100\) | − | 4.39227i | − | 0.439227i | ||||||
\(101\) | 7.15774 | − | 1.91791i | 0.712222 | − | 0.190839i | 0.115523 | − | 0.993305i | \(-0.463146\pi\) |
0.596698 | + | 0.802466i | \(0.296479\pi\) | |||||||
\(102\) | −0.560826 | − | 0.150273i | −0.0555300 | − | 0.0148792i | ||||
\(103\) | −11.3429 | + | 11.3429i | −1.11765 | + | 1.11765i | −0.125561 | + | 0.992086i | \(0.540073\pi\) |
−0.992086 | + | 0.125561i | \(0.959927\pi\) | |||||||
\(104\) | 1.11187 | + | 0.297924i | 0.109028 | + | 0.0292139i | ||||
\(105\) | −2.71354 | + | 4.69998i | −0.264814 | + | 0.458671i | ||||
\(106\) | 0.250541 | − | 0.0671321i | 0.0243347 | − | 0.00652045i | ||||
\(107\) | 1.45576 | − | 5.43296i | 0.140733 | − | 0.525224i | −0.859175 | − | 0.511682i | \(-0.829023\pi\) |
0.999908 | − | 0.0135419i | \(-0.00431066\pi\) | |||||||
\(108\) | −8.95799 | − | 5.17190i | −0.861983 | − | 0.497666i | ||||
\(109\) | −4.52854 | + | 7.84365i | −0.433755 | + | 0.751286i | −0.997193 | − | 0.0748725i | \(-0.976145\pi\) |
0.563438 | + | 0.826158i | \(0.309478\pi\) | |||||||
\(110\) | 0.447680 | − | 0.775405i | 0.0426846 | − | 0.0739319i | ||||
\(111\) | −0.974487 | − | 0.562620i | −0.0924942 | − | 0.0534015i | ||||
\(112\) | 1.19764 | − | 4.46967i | 0.113167 | − | 0.422344i | ||||
\(113\) | 9.55680 | − | 2.56074i | 0.899028 | − | 0.240894i | 0.220429 | − | 0.975403i | \(-0.429254\pi\) |
0.678599 | + | 0.734509i | \(0.262587\pi\) | |||||||
\(114\) | −0.408533 | + | 0.707601i | −0.0382627 | + | 0.0662729i | ||||
\(115\) | 2.53369 | + | 0.678900i | 0.236268 | + | 0.0633078i | ||||
\(116\) | 6.92971 | − | 6.92971i | 0.643408 | − | 0.643408i | ||||
\(117\) | −0.0579382 | − | 0.0155245i | −0.00535639 | − | 0.00143524i | ||||
\(118\) | −0.444945 | + | 0.119223i | −0.0409605 | + | 0.0109753i | ||||
\(119\) | − | 5.73865i | − | 0.526061i | ||||||
\(120\) | 0.327050 | + | 1.22057i | 0.0298555 | + | 0.111422i | ||||
\(121\) | −11.3942 | + | 6.57843i | −1.03583 | + | 0.598039i | ||||
\(122\) | 0.708522i | 0.0641465i | ||||||||
\(123\) | 11.3095 | + | 6.52956i | 1.01975 | + | 0.588751i | ||||
\(124\) | −0.342438 | + | 0.342438i | −0.0307519 | + | 0.0307519i | ||||
\(125\) | 5.31078 | − | 5.31078i | 0.475011 | − | 0.475011i | ||||
\(126\) | 0.000289267 | − | 0.00107956i | 2.57700e−5 | − | 9.61749e-5i | ||||
\(127\) | 12.3743 | − | 7.14432i | 1.09804 | − | 0.633956i | 0.162338 | − | 0.986735i | \(-0.448097\pi\) |
0.935707 | + | 0.352779i | \(0.114763\pi\) | |||||||
\(128\) | −1.07991 | − | 1.87047i | −0.0954519 | − | 0.165327i | ||||
\(129\) | 6.00461 | + | 6.00461i | 0.528677 | + | 0.528677i | ||||
\(130\) | −0.386565 | − | 0.669550i | −0.0339040 | − | 0.0587234i | ||||
\(131\) | 2.75065 | + | 10.2656i | 0.240325 | + | 0.896906i | 0.975676 | + | 0.219219i | \(0.0703509\pi\) |
−0.735351 | + | 0.677687i | \(0.762982\pi\) | |||||||
\(132\) | 4.40682 | − | 16.4465i | 0.383565 | − | 1.43148i | ||||
\(133\) | −7.80058 | − | 2.09016i | −0.676396 | − | 0.181240i | ||||
\(134\) | −0.565271 | − | 0.326359i | −0.0488320 | − | 0.0281931i | ||||
\(135\) | 3.60040 | + | 13.4369i | 0.309873 | + | 1.15646i | ||||
\(136\) | −0.944816 | − | 0.944816i | −0.0810173 | − | 0.0810173i | ||||
\(137\) | 11.3379 | 0.968666 | 0.484333 | − | 0.874884i | \(-0.339062\pi\) | ||||
0.484333 | + | 0.874884i | \(0.339062\pi\) | |||||||
\(138\) | −0.115203 | −0.00980672 | ||||||||
\(139\) | −2.05738 | − | 2.05738i | −0.174505 | − | 0.174505i | 0.614451 | − | 0.788955i | \(-0.289378\pi\) |
−0.788955 | + | 0.614451i | \(0.789378\pi\) | |||||||
\(140\) | −5.40186 | + | 3.11876i | −0.456540 | + | 0.263584i | ||||
\(141\) | −13.5262 | + | 3.62432i | −1.13911 | + | 0.305223i | ||||
\(142\) | −0.163328 | + | 0.282892i | −0.0137062 | + | 0.0237398i | ||||
\(143\) | 20.8591i | 1.74432i | ||||||||
\(144\) | 0.0280715 | + | 0.0486213i | 0.00233929 | + | 0.00405178i | ||||
\(145\) | −13.1797 | −1.09451 | ||||||||
\(146\) | 0.568604 | + | 0.114468i | 0.0470580 | + | 0.00947346i | ||||
\(147\) | −9.79705 | −0.808047 | ||||||||
\(148\) | −0.646639 | − | 1.12001i | −0.0531534 | − | 0.0920644i | ||||
\(149\) | − | 24.2427i | − | 1.98604i | −0.117948 | − | 0.993020i | \(-0.537632\pi\) | ||
0.117948 | − | 0.993020i | \(-0.462368\pi\) | |||||||
\(150\) | 0.129714 | − | 0.224671i | 0.0105911 | − | 0.0183443i | ||||
\(151\) | −15.4768 | + | 4.14699i | −1.25948 | + | 0.337477i | −0.825993 | − | 0.563681i | \(-0.809385\pi\) |
−0.433490 | + | 0.901158i | \(0.642718\pi\) | |||||||
\(152\) | −1.62842 | + | 0.940169i | −0.132082 | + | 0.0762577i | ||||
\(153\) | 0.0492333 | + | 0.0492333i | 0.00398028 | + | 0.00398028i | ||||
\(154\) | −0.388666 | −0.0313196 | ||||||||
\(155\) | 0.651286 | 0.0523125 | ||||||||
\(156\) | −10.3961 | − | 10.3961i | −0.832352 | − | 0.832352i | ||||
\(157\) | 5.81557 | + | 21.7040i | 0.464133 | + | 1.73217i | 0.659748 | + | 0.751487i | \(0.270663\pi\) |
−0.195614 | + | 0.980681i | \(0.562670\pi\) | |||||||
\(158\) | 0.565855 | + | 0.326697i | 0.0450170 | + | 0.0259906i | ||||
\(159\) | −6.40744 | − | 1.71687i | −0.508143 | − | 0.136156i | ||||
\(160\) | −0.564052 | + | 2.10507i | −0.0445923 | + | 0.166421i | ||||
\(161\) | −0.294703 | − | 1.09985i | −0.0232259 | − | 0.0866802i | ||||
\(162\) | −0.306916 | − | 0.531594i | −0.0241136 | − | 0.0417659i | ||||
\(163\) | 3.31654 | + | 3.31654i | 0.259771 | + | 0.259771i | 0.824961 | − | 0.565190i | \(-0.191197\pi\) |
−0.565190 | + | 0.824961i | \(0.691197\pi\) | |||||||
\(164\) | 7.50466 | + | 12.9985i | 0.586015 | + | 1.01501i | ||||
\(165\) | −19.8305 | + | 11.4492i | −1.54381 | + | 0.891317i | ||||
\(166\) | 0.133093 | − | 0.496709i | 0.0103300 | − | 0.0385521i | ||||
\(167\) | −0.992375 | + | 0.992375i | −0.0767923 | + | 0.0767923i | −0.744460 | − | 0.667667i | \(-0.767293\pi\) |
0.667667 | + | 0.744460i | \(0.267293\pi\) | |||||||
\(168\) | 0.387866 | − | 0.387866i | 0.0299245 | − | 0.0299245i | ||||
\(169\) | 4.34009 | + | 2.50575i | 0.333853 | + | 0.192750i | ||||
\(170\) | 0.897440i | 0.0688305i | ||||||||
\(171\) | 0.0848552 | − | 0.0489912i | 0.00648904 | − | 0.00374645i | ||||
\(172\) | 2.52606 | + | 9.42738i | 0.192610 | + | 0.718831i | ||||
\(173\) | − | 3.22831i | − | 0.245444i | −0.992441 | − | 0.122722i | \(-0.960838\pi\) | ||
0.992441 | − | 0.122722i | \(-0.0391624\pi\) | |||||||
\(174\) | 0.559116 | − | 0.149815i | 0.0423865 | − | 0.0113574i | ||||
\(175\) | 2.47677 | + | 0.663649i | 0.187226 | + | 0.0501672i | ||||
\(176\) | 13.8056 | − | 13.8056i | 1.04064 | − | 1.04064i | ||||
\(177\) | 11.3792 | + | 3.04905i | 0.855314 | + | 0.229181i | ||||
\(178\) | 0.413001 | − | 0.715339i | 0.0309557 | − | 0.0536169i | ||||
\(179\) | −6.59345 | + | 1.76671i | −0.492817 | + | 0.132050i | −0.496664 | − | 0.867943i | \(-0.665442\pi\) |
0.00384724 | + | 0.999993i | \(0.498775\pi\) | |||||||
\(180\) | 0.0195872 | − | 0.0731006i | 0.00145995 | − | 0.00544860i | ||||
\(181\) | 4.70046 | + | 2.71381i | 0.349382 | + | 0.201716i | 0.664413 | − | 0.747365i | \(-0.268682\pi\) |
−0.315031 | + | 0.949081i | \(0.602015\pi\) | |||||||
\(182\) | −0.167804 | + | 0.290645i | −0.0124384 | + | 0.0215440i | ||||
\(183\) | 9.06003 | − | 15.6924i | 0.669736 | − | 1.16002i | ||||
\(184\) | −0.229600 | − | 0.132560i | −0.0169263 | − | 0.00977243i | ||||
\(185\) | −0.450156 | + | 1.68000i | −0.0330961 | + | 0.123516i | ||||
\(186\) | −0.0276292 | + | 0.00740323i | −0.00202587 | + | 0.000542831i | ||||
\(187\) | 12.1065 | − | 20.9690i | 0.885314 | − | 1.53341i | ||||
\(188\) | −15.5461 | − | 4.16556i | −1.13382 | − | 0.303805i | ||||
\(189\) | 4.26991 | − | 4.26991i | 0.310590 | − | 0.310590i | ||||
\(190\) | 1.21990 | + | 0.326870i | 0.0885005 | + | 0.0237136i | ||||
\(191\) | 13.4214 | − | 3.59624i | 0.971136 | − | 0.260215i | 0.261829 | − | 0.965114i | \(-0.415674\pi\) |
0.709307 | + | 0.704899i | \(0.249008\pi\) | |||||||
\(192\) | 13.6974i | 0.988522i | ||||||||
\(193\) | −2.76355 | − | 10.3137i | −0.198924 | − | 0.742396i | −0.991216 | − | 0.132253i | \(-0.957779\pi\) |
0.792292 | − | 0.610143i | \(-0.208888\pi\) | |||||||
\(194\) | 0.459448 | − | 0.265263i | 0.0329865 | − | 0.0190447i | ||||
\(195\) | 19.7724i | 1.41593i | ||||||||
\(196\) | −9.75153 | − | 5.63005i | −0.696538 | − | 0.402146i | ||||
\(197\) | −0.587489 | + | 0.587489i | −0.0418569 | + | 0.0418569i | −0.727725 | − | 0.685869i | \(-0.759422\pi\) |
0.685869 | + | 0.727725i | \(0.259422\pi\) | |||||||
\(198\) | 0.00333447 | − | 0.00333447i | 0.000236970 | − | 0.000236970i | ||||
\(199\) | −6.28620 | + | 23.4604i | −0.445617 | + | 1.66306i | 0.268687 | + | 0.963228i | \(0.413410\pi\) |
−0.714303 | + | 0.699836i | \(0.753256\pi\) | |||||||
\(200\) | 0.517042 | − | 0.298514i | 0.0365604 | − | 0.0211081i | ||||
\(201\) | 8.34646 | + | 14.4565i | 0.588714 | + | 1.01968i | ||||
\(202\) | 0.355707 | + | 0.355707i | 0.0250274 | + | 0.0250274i | ||||
\(203\) | 2.86058 | + | 4.95467i | 0.200773 | + | 0.347749i | ||||
\(204\) | 4.41706 | + | 16.4847i | 0.309256 | + | 1.15416i | ||||
\(205\) | 5.22434 | − | 19.4975i | 0.364884 | − | 1.36177i | ||||
\(206\) | −1.05186 | − | 0.281844i | −0.0732864 | − | 0.0196370i | ||||
\(207\) | 0.0119642 | + | 0.00690754i | 0.000831570 | + | 0.000480107i | ||||
\(208\) | −4.36336 | − | 16.2843i | −0.302545 | − | 1.12911i | ||||
\(209\) | −24.0939 | − | 24.0939i | −1.66661 | − | 1.66661i | ||||
\(210\) | −0.368418 | −0.0254232 | ||||||||
\(211\) | 14.6840 | 1.01089 | 0.505446 | − | 0.862858i | \(-0.331328\pi\) | ||||
0.505446 | + | 0.862858i | \(0.331328\pi\) | |||||||
\(212\) | −5.39104 | − | 5.39104i | −0.370258 | − | 0.370258i | ||||
\(213\) | 7.23482 | − | 4.17703i | 0.495722 | − | 0.286205i | ||||
\(214\) | 0.368817 | − | 0.0988243i | 0.0252118 | − | 0.00675549i | ||||
\(215\) | 6.56284 | − | 11.3672i | 0.447582 | − | 0.775234i | ||||
\(216\) | − | 1.40600i | − | 0.0956663i | ||||||
\(217\) | −0.141358 | − | 0.244839i | −0.00959601 | − | 0.0166208i | ||||
\(218\) | −0.614841 | −0.0416423 | ||||||||
\(219\) | −11.1298 | − | 9.80612i | −0.752080 | − | 0.662636i | ||||
\(220\) | −26.3179 | −1.77435 | ||||||||
\(221\) | −10.4538 | − | 18.1065i | −0.703196 | − | 1.21797i | ||||
\(222\) | − | 0.0763871i | − | 0.00512677i | ||||||
\(223\) | 10.6020 | − | 18.3632i | 0.709963 | − | 1.22969i | −0.254908 | − | 0.966965i | \(-0.582045\pi\) |
0.964870 | − | 0.262726i | \(-0.0846216\pi\) | |||||||
\(224\) | 0.913789 | − | 0.244849i | 0.0610551 | − | 0.0163597i | ||||
\(225\) | −0.0269425 | + | 0.0155553i | −0.00179617 | + | 0.00103702i | ||||
\(226\) | 0.474929 | + | 0.474929i | 0.0315918 | + | 0.0315918i | ||||
\(227\) | −5.10954 | −0.339132 | −0.169566 | − | 0.985519i | \(-0.554237\pi\) | ||||
−0.169566 | + | 0.985519i | \(0.554237\pi\) | |||||||
\(228\) | 24.0166 | 1.59054 | ||||||||
\(229\) | 2.08710 | + | 2.08710i | 0.137919 | + | 0.137919i | 0.772696 | − | 0.634776i | \(-0.218908\pi\) |
−0.634776 | + | 0.772696i | \(0.718908\pi\) | |||||||
\(230\) | 0.0460873 | + | 0.172000i | 0.00303890 | + | 0.0113413i | ||||
\(231\) | 8.60823 | + | 4.96996i | 0.566380 | + | 0.327000i | ||||
\(232\) | 1.28671 | + | 0.344772i | 0.0844765 | + | 0.0226354i | ||||
\(233\) | −6.30140 | + | 23.5172i | −0.412819 | + | 1.54066i | 0.376347 | + | 0.926479i | \(0.377180\pi\) |
−0.789165 | + | 0.614181i | \(0.789486\pi\) | |||||||
\(234\) | −0.00105388 | − | 0.00393315i | −6.88945e−5 | − | 0.000257118i | ||||
\(235\) | 10.8224 | + | 18.7449i | 0.705973 | + | 1.22278i | ||||
\(236\) | 9.57416 | + | 9.57416i | 0.623225 | + | 0.623225i | ||||
\(237\) | −8.35508 | − | 14.4714i | −0.542721 | − | 0.940020i | ||||
\(238\) | 0.337377 | − | 0.194785i | 0.0218689 | − | 0.0126260i | ||||
\(239\) | −2.47547 | + | 9.23857i | −0.160125 | + | 0.597594i | 0.838487 | + | 0.544921i | \(0.183441\pi\) |
−0.998612 | + | 0.0526722i | \(0.983226\pi\) | |||||||
\(240\) | 13.0864 | − | 13.0864i | 0.844720 | − | 0.844720i | ||||
\(241\) | 12.3733 | − | 12.3733i | 0.797036 | − | 0.797036i | −0.185591 | − | 0.982627i | \(-0.559420\pi\) |
0.982627 | + | 0.185591i | \(0.0594200\pi\) | |||||||
\(242\) | −0.773495 | − | 0.446578i | −0.0497221 | − | 0.0287071i | ||||
\(243\) | 0.146877i | 0.00942218i | ||||||||
\(244\) | 18.0359 | − | 10.4130i | 1.15463 | − | 0.666625i | ||||
\(245\) | 3.91934 | + | 14.6272i | 0.250397 | + | 0.934496i | ||||
\(246\) | 0.886521i | 0.0565225i | ||||||||
\(247\) | −28.4197 | + | 7.61505i | −1.80831 | + | 0.484534i | ||||
\(248\) | −0.0635839 | − | 0.0170373i | −0.00403758 | − | 0.00108187i | ||||
\(249\) | −9.29929 | + | 9.29929i | −0.589319 | + | 0.589319i | ||||
\(250\) | 0.492484 | + | 0.131961i | 0.0311474 | + | 0.00834593i | ||||
\(251\) | 6.03319 | − | 10.4498i | 0.380812 | − | 0.659585i | −0.610367 | − | 0.792119i | \(-0.708978\pi\) |
0.991178 | + | 0.132534i | \(0.0423113\pi\) | |||||||
\(252\) | −0.0317322 | + | 0.00850262i | −0.00199894 | + | 0.000535614i | ||||
\(253\) | 1.24344 | − | 4.64057i | 0.0781742 | − | 0.291750i | ||||
\(254\) | 0.840034 | + | 0.484994i | 0.0527084 | + | 0.0304312i | ||||
\(255\) | 11.4758 | − | 19.8766i | 0.718640 | − | 1.24472i | ||||
\(256\) | −7.81630 | + | 13.5382i | −0.488519 | + | 0.846139i | ||||
\(257\) | 6.79577 | + | 3.92354i | 0.423908 | + | 0.244744i | 0.696748 | − | 0.717316i | \(-0.254630\pi\) |
−0.272840 | + | 0.962060i | \(0.587963\pi\) | |||||||
\(258\) | −0.149201 | + | 0.556825i | −0.00928884 | + | 0.0346664i | ||||
\(259\) | 0.729272 | − | 0.195408i | 0.0453148 | − | 0.0121421i | ||||
\(260\) | −11.3625 | + | 19.6805i | −0.704675 | + | 1.22053i | ||||
\(261\) | −0.0670490 | − | 0.0179657i | −0.00415023 | − | 0.00111205i | ||||
\(262\) | −0.510151 | + | 0.510151i | −0.0315172 | + | 0.0315172i | ||||
\(263\) | 2.11083 | + | 0.565594i | 0.130159 | + | 0.0348760i | 0.323310 | − | 0.946293i | \(-0.395204\pi\) |
−0.193151 | + | 0.981169i | \(0.561871\pi\) | |||||||
\(264\) | 2.23552 | − | 0.599007i | 0.137587 | − | 0.0368663i | ||||
\(265\) | 10.2533i | 0.629853i | ||||||||
\(266\) | −0.141891 | − | 0.529544i | −0.00869989 | − | 0.0324684i | ||||
\(267\) | −18.2944 | + | 10.5623i | −1.11960 | + | 0.646401i | ||||
\(268\) | 19.1858i | 1.17196i | ||||||||
\(269\) | −16.8194 | − | 9.71070i | −1.02550 | − | 0.592072i | −0.109807 | − | 0.993953i | \(-0.535023\pi\) |
−0.915692 | + | 0.401881i | \(0.868357\pi\) | |||||||
\(270\) | −0.667750 | + | 0.667750i | −0.0406380 | + | 0.0406380i | ||||
\(271\) | 4.72438 | − | 4.72438i | 0.286986 | − | 0.286986i | −0.548901 | − | 0.835887i | \(-0.684954\pi\) |
0.835887 | + | 0.548901i | \(0.184954\pi\) | |||||||
\(272\) | −5.06493 | + | 18.9026i | −0.307107 | + | 1.14614i | ||||
\(273\) | 7.43308 | − | 4.29149i | 0.449870 | − | 0.259733i | ||||
\(274\) | 0.384839 | + | 0.666561i | 0.0232490 | + | 0.0402684i | ||||
\(275\) | 7.65008 | + | 7.65008i | 0.461317 | + | 0.461317i | ||||
\(276\) | 1.69312 | + | 2.93256i | 0.101914 | + | 0.176519i | ||||
\(277\) | 0.0121521 | + | 0.0453523i | 0.000730149 | + | 0.00272495i | 0.966290 | − | 0.257456i | \(-0.0828843\pi\) |
−0.965560 | + | 0.260181i | \(0.916218\pi\) | |||||||
\(278\) | 0.0511211 | − | 0.190787i | 0.00306604 | − | 0.0114426i | ||||
\(279\) | 0.00331329 | 0.000887793i | 0.000198361 | 5.31508e-5i | ||||||
\(280\) | −0.734259 | − | 0.423925i | −0.0438804 | − | 0.0253343i | ||||
\(281\) | 1.70030 | + | 6.34560i | 0.101431 | + | 0.378547i | 0.997916 | − | 0.0645281i | \(-0.0205542\pi\) |
−0.896485 | + | 0.443075i | \(0.853888\pi\) | |||||||
\(282\) | −0.672188 | − | 0.672188i | −0.0400282 | − | 0.0400282i | ||||
\(283\) | −14.8899 | −0.885111 | −0.442556 | − | 0.896741i | \(-0.645928\pi\) | ||||
−0.442556 | + | 0.896741i | \(0.645928\pi\) | |||||||
\(284\) | 9.60161 | 0.569751 | ||||||||
\(285\) | −22.8386 | − | 22.8386i | −1.35284 | − | 1.35284i | ||||
\(286\) | −1.22631 | + | 0.708011i | −0.0725133 | + | 0.0418656i | ||||
\(287\) | −8.46366 | + | 2.26783i | −0.499594 | + | 0.133866i | ||||
\(288\) | −0.00573901 | + | 0.00994026i | −0.000338174 | + | 0.000585735i | ||||
\(289\) | 7.26921i | 0.427601i | ||||||||
\(290\) | −0.447352 | − | 0.774837i | −0.0262694 | − | 0.0455000i | ||||
\(291\) | −13.5679 | −0.795364 | ||||||||
\(292\) | −5.44280 | − | 16.1565i | −0.318516 | − | 0.945486i | ||||
\(293\) | −18.3491 | −1.07196 | −0.535982 | − | 0.844229i | \(-0.680059\pi\) | ||||
−0.535982 | + | 0.844229i | \(0.680059\pi\) | |||||||
\(294\) | −0.332537 | − | 0.575971i | −0.0193940 | − | 0.0335913i | ||||
\(295\) | − | 18.2092i | − | 1.06018i | ||||||
\(296\) | 0.0878958 | − | 0.152240i | 0.00510884 | − | 0.00884877i | ||||
\(297\) | 24.6102 | − | 6.59429i | 1.42803 | − | 0.382640i | ||||
\(298\) | 1.42524 | − | 0.822860i | 0.0825617 | − | 0.0476670i | ||||
\(299\) | −2.93337 | − | 2.93337i | −0.169641 | − | 0.169641i | ||||
\(300\) | −7.62553 | −0.440260 | ||||||||
\(301\) | −5.69771 | −0.328411 | ||||||||
\(302\) | −0.769125 | − | 0.769125i | −0.0442582 | − | 0.0442582i | ||||
\(303\) | −3.32973 | − | 12.4267i | −0.191288 | − | 0.713897i | ||||
\(304\) | 23.8496 | + | 13.7696i | 1.36787 | + | 0.789741i | ||||
\(305\) | −27.0536 | − | 7.24898i | −1.54908 | − | 0.415076i | ||||
\(306\) | −0.00122334 | + | 0.00456555i | −6.99334e−5 | + | 0.000260995i | ||||
\(307\) | 3.40947 | + | 12.7243i | 0.194588 | + | 0.726214i | 0.992373 | + | 0.123271i | \(0.0393386\pi\) |
−0.797785 | + | 0.602943i | \(0.793995\pi\) | |||||||
\(308\) | 5.71216 | + | 9.89374i | 0.325480 | + | 0.563748i | ||||
\(309\) | 19.6927 | + | 19.6927i | 1.12028 | + | 1.12028i | ||||
\(310\) | 0.0221063 | + | 0.0382893i | 0.00125555 | + | 0.00217468i | ||||
\(311\) | 10.8432 | − | 6.26034i | 0.614863 | − | 0.354991i | −0.160004 | − | 0.987116i | \(-0.551151\pi\) |
0.774866 | + | 0.632125i | \(0.217817\pi\) | |||||||
\(312\) | 0.517234 | − | 1.93034i | 0.0292826 | − | 0.109284i | ||||
\(313\) | −17.4969 | + | 17.4969i | −0.988984 | + | 0.988984i | −0.999940 | − | 0.0109555i | \(-0.996513\pi\) |
0.0109555 | + | 0.999940i | \(0.496513\pi\) | |||||||
\(314\) | −1.07859 | + | 1.07859i | −0.0608683 | + | 0.0608683i | ||||
\(315\) | 0.0382614 | + | 0.0220903i | 0.00215579 | + | 0.00124464i | ||||
\(316\) | − | 19.2056i | − | 1.08040i | ||||||
\(317\) | −23.5040 | + | 13.5701i | −1.32012 | + | 0.762170i | −0.983747 | − | 0.179560i | \(-0.942533\pi\) |
−0.336370 | + | 0.941730i | \(0.609199\pi\) | |||||||
\(318\) | −0.116550 | − | 0.434970i | −0.00653579 | − | 0.0243919i | ||||
\(319\) | 24.1392i | 1.35153i | ||||||||
\(320\) | 20.4504 | − | 5.47967i | 1.14321 | − | 0.306323i | ||||
\(321\) | −9.43230 | − | 2.52738i | −0.526459 | − | 0.141064i | ||||
\(322\) | 0.0546574 | − | 0.0546574i | 0.00304594 | − | 0.00304594i | ||||
\(323\) | 32.9893 | + | 8.83946i | 1.83557 | + | 0.491840i | ||||
\(324\) | −9.02137 | + | 15.6255i | −0.501187 | + | 0.868081i | ||||
\(325\) | 9.02359 | − | 2.41786i | 0.500539 | − | 0.134119i | ||||
\(326\) | −0.0824083 | + | 0.307552i | −0.00456418 | + | 0.0170337i | ||||
\(327\) | 13.6176 | + | 7.86211i | 0.753054 | + | 0.434776i | ||||
\(328\) | −1.02009 | + | 1.76684i | −0.0563249 | + | 0.0975575i | ||||
\(329\) | 4.69787 | − | 8.13695i | 0.259002 | − | 0.448605i | ||||
\(330\) | −1.34620 | − | 0.777229i | −0.0741059 | − | 0.0427850i | ||||
\(331\) | 3.60692 | − | 13.4612i | 0.198254 | − | 0.739895i | −0.793146 | − | 0.609031i | \(-0.791558\pi\) |
0.991400 | − | 0.130864i | \(-0.0417750\pi\) | |||||||
\(332\) | −14.6001 | + | 3.91208i | −0.801284 | + | 0.214703i | ||||
\(333\) | −0.00458016 | + | 0.00793307i | −0.000250991 | + | 0.000434729i | ||||
\(334\) | −0.0920258 | − | 0.0246582i | −0.00503543 | − | 0.00134924i | ||||
\(335\) | 18.2448 | − | 18.2448i | 0.996819 | − | 0.996819i | ||||
\(336\) | −7.75991 | − | 2.07926i | −0.423338 | − | 0.113433i | ||||
\(337\) | −3.19533 | + | 0.856187i | −0.174061 | + | 0.0466395i | −0.344797 | − | 0.938677i | \(-0.612052\pi\) |
0.170736 | + | 0.985317i | \(0.445386\pi\) | |||||||
\(338\) | 0.340207i | 0.0185048i | ||||||||
\(339\) | −4.44576 | − | 16.5918i | −0.241461 | − | 0.901144i | ||||
\(340\) | 22.8449 | − | 13.1895i | 1.23894 | − | 0.715302i | ||||
\(341\) | − | 1.19286i | − | 0.0645969i | ||||||
\(342\) | 0.00576041 | + | 0.00332577i | 0.000311487 | + | 0.000179837i | ||||
\(343\) | 10.4140 | − | 10.4140i | 0.562305 | − | 0.562305i | ||||
\(344\) | −0.938076 | + | 0.938076i | −0.0505777 | + | 0.0505777i | ||||
\(345\) | 1.17866 | − | 4.39881i | 0.0634567 | − | 0.236824i | ||||
\(346\) | 0.189793 | − | 0.109577i | 0.0102034 | − | 0.00589091i | ||||
\(347\) | 11.8006 | + | 20.4392i | 0.633490 | + | 1.09724i | 0.986833 | + | 0.161742i | \(0.0517114\pi\) |
−0.353343 | + | 0.935494i | \(0.614955\pi\) | |||||||
\(348\) | −12.0309 | − | 12.0309i | −0.644921 | − | 0.644921i | ||||
\(349\) | 3.34960 | + | 5.80168i | 0.179300 | + | 0.310557i | 0.941641 | − | 0.336619i | \(-0.109283\pi\) |
−0.762341 | + | 0.647176i | \(0.775950\pi\) | |||||||
\(350\) | 0.0450519 | + | 0.168136i | 0.00240813 | + | 0.00898726i | ||||
\(351\) | 5.69407 | − | 21.2506i | 0.303927 | − | 1.13427i | ||||
\(352\) | 3.85553 | + | 1.03309i | 0.205501 | + | 0.0550637i | ||||
\(353\) | 13.8082 | + | 7.97219i | 0.734938 | + | 0.424317i | 0.820226 | − | 0.572040i | \(-0.193848\pi\) |
−0.0852879 | + | 0.996356i | \(0.527181\pi\) | |||||||
\(354\) | 0.206985 | + | 0.772480i | 0.0110012 | + | 0.0410569i | ||||
\(355\) | −9.13069 | − | 9.13069i | −0.484607 | − | 0.484607i | ||||
\(356\) | −24.2792 | −1.28680 | ||||||||
\(357\) | −9.96302 | −0.527299 | ||||||||
\(358\) | −0.327664 | − | 0.327664i | −0.0173176 | − | 0.0173176i | ||||
\(359\) | 8.24908 | − | 4.76261i | 0.435370 | − | 0.251361i | −0.266262 | − | 0.963901i | \(-0.585789\pi\) |
0.701632 | + | 0.712540i | \(0.252455\pi\) | |||||||
\(360\) | 0.00993635 | − | 0.00266244i | 0.000523692 | − | 0.000140323i | ||||
\(361\) | 14.5311 | − | 25.1685i | 0.764793 | − | 1.32466i | ||||
\(362\) | 0.368455i | 0.0193656i | ||||||||
\(363\) | 11.4210 | + | 19.7817i | 0.599446 | + | 1.03827i | ||||
\(364\) | 9.86472 | 0.517052 | ||||||||
\(365\) | −10.1882 | + | 20.5399i | −0.533276 | + | 1.07511i | ||||
\(366\) | 1.23008 | 0.0642975 | ||||||||
\(367\) | −7.45781 | − | 12.9173i | −0.389295 | − | 0.674278i | 0.603060 | − | 0.797696i | \(-0.293948\pi\) |
−0.992355 | + | 0.123418i | \(0.960615\pi\) | |||||||
\(368\) | 3.88291i | 0.202411i | ||||||||
\(369\) | 0.0531556 | − | 0.0920683i | 0.00276717 | − | 0.00479288i | ||||
\(370\) | −0.114047 | + | 0.0305589i | −0.00592904 | + | 0.00158868i | ||||
\(371\) | 3.85453 | − | 2.22542i | 0.200117 | − | 0.115538i | ||||
\(372\) | 0.594516 | + | 0.594516i | 0.0308242 | + | 0.0308242i | ||||
\(373\) | −17.9497 | −0.929400 | −0.464700 | − | 0.885468i | \(-0.653838\pi\) | ||||
−0.464700 | + | 0.885468i | \(0.653838\pi\) | |||||||
\(374\) | 1.64370 | 0.0849938 | ||||||||
\(375\) | −9.22019 | − | 9.22019i | −0.476128 | − | 0.476128i | ||||
\(376\) | −0.566213 | − | 2.11314i | −0.0292002 | − | 0.108977i | ||||
\(377\) | 18.0513 | + | 10.4219i | 0.929687 | + | 0.536755i | ||||
\(378\) | 0.395961 | + | 0.106097i | 0.0203660 | + | 0.00545706i | ||||
\(379\) | 4.38416 | − | 16.3619i | 0.225199 | − | 0.840454i | −0.757126 | − | 0.653269i | \(-0.773397\pi\) |
0.982325 | − | 0.187185i | \(-0.0599364\pi\) | |||||||
\(380\) | −9.60790 | − | 35.8572i | −0.492875 | − | 1.83943i | ||||
\(381\) | −12.4034 | − | 21.4834i | −0.635448 | − | 1.10063i | ||||
\(382\) | 0.666980 | + | 0.666980i | 0.0341257 | + | 0.0341257i | ||||
\(383\) | 8.68209 | + | 15.0378i | 0.443634 | + | 0.768396i | 0.997956 | − | 0.0639059i | \(-0.0203557\pi\) |
−0.554322 | + | 0.832302i | \(0.687022\pi\) | |||||||
\(384\) | −3.24737 | + | 1.87487i | −0.165716 | + | 0.0956764i | ||||
\(385\) | 3.97650 | − | 14.8405i | 0.202661 | − | 0.756342i | ||||
\(386\) | 0.512543 | − | 0.512543i | 0.0260878 | − | 0.0260878i | ||||
\(387\) | 0.0488822 | − | 0.0488822i | 0.00248482 | − | 0.00248482i | ||||
\(388\) | −13.5048 | − | 7.79703i | −0.685605 | − | 0.395834i | ||||
\(389\) | 9.07519i | 0.460131i | 0.973175 | + | 0.230065i | \(0.0738940\pi\) | ||||
−0.973175 | + | 0.230065i | \(0.926106\pi\) | |||||||
\(390\) | −1.16242 | + | 0.671125i | −0.0588616 | + | 0.0339838i | ||||
\(391\) | 1.24632 | + | 4.65135i | 0.0630294 | + | 0.235229i | ||||
\(392\) | − | 1.53055i | − | 0.0773046i | ||||||
\(393\) | 17.8223 | − | 4.77547i | 0.899016 | − | 0.240891i | ||||
\(394\) | −0.0544796 | − | 0.0145978i | −0.00274464 | − | 0.000735424i | ||||
\(395\) | −18.2636 | + | 18.2636i | −0.918943 | + | 0.918943i | ||||
\(396\) | −0.133887 | − | 0.0358749i | −0.00672808 | − | 0.00180278i | ||||
\(397\) | −3.07886 | + | 5.33275i | −0.154524 | + | 0.267643i | −0.932886 | − | 0.360173i | \(-0.882718\pi\) |
0.778362 | + | 0.627816i | \(0.216051\pi\) | |||||||
\(398\) | −1.59261 | + | 0.426740i | −0.0798305 | + | 0.0213905i | ||||
\(399\) | −3.62878 | + | 13.5428i | −0.181666 | + | 0.677988i | ||||
\(400\) | −7.57253 | − | 4.37200i | −0.378627 | − | 0.218600i | ||||
\(401\) | −19.3367 | + | 33.4921i | −0.965629 | + | 1.67252i | −0.257712 | + | 0.966222i | \(0.582969\pi\) |
−0.707917 | + | 0.706296i | \(0.750365\pi\) | |||||||
\(402\) | −0.566601 | + | 0.981381i | −0.0282595 | + | 0.0489469i | ||||
\(403\) | −0.892020 | − | 0.515008i | −0.0444347 | − | 0.0256544i | ||||
\(404\) | 3.82698 | − | 14.2825i | 0.190400 | − | 0.710581i | ||||
\(405\) | 23.4380 | − | 6.28019i | 1.16464 | − | 0.312065i | ||||
\(406\) | −0.194191 | + | 0.336348i | −0.00963753 | + | 0.0166927i | ||||
\(407\) | 3.07700 | + | 0.824480i | 0.152521 | + | 0.0408680i | ||||
\(408\) | −1.64032 | + | 1.64032i | −0.0812079 | + | 0.0812079i | ||||
\(409\) | −7.75532 | − | 2.07803i | −0.383476 | − | 0.102752i | 0.0619307 | − | 0.998080i | \(-0.480274\pi\) |
−0.445407 | + | 0.895328i | \(0.646941\pi\) | |||||||
\(410\) | 1.32359 | − | 0.354655i | 0.0653676 | − | 0.0175152i | ||||
\(411\) | − | 19.6841i | − | 0.970945i | ||||||
\(412\) | 8.28443 | + | 30.9179i | 0.408144 | + | 1.52322i | ||||
\(413\) | −6.84542 | + | 3.95220i | −0.336841 | + | 0.194475i | ||||
\(414\) | 0 | 0.000937840i | 0 | 4.60923e-5i | ||||||
\(415\) | 17.6042 | + | 10.1638i | 0.864157 | + | 0.498921i | ||||
\(416\) | 2.43714 | − | 2.43714i | 0.119491 | − | 0.119491i | ||||
\(417\) | −3.57187 | + | 3.57187i | −0.174915 | + | 0.174915i | ||||
\(418\) | 0.598677 | − | 2.23429i | 0.0292823 | − | 0.109283i | ||||
\(419\) | −2.94854 | + | 1.70234i | −0.144045 | + | 0.0831647i | −0.570291 | − | 0.821443i | \(-0.693169\pi\) |
0.426245 | + | 0.904608i | \(0.359836\pi\) | |||||||
\(420\) | 5.41457 | + | 9.37831i | 0.264204 | + | 0.457614i | ||||
\(421\) | −9.14260 | − | 9.14260i | −0.445583 | − | 0.445583i | 0.448300 | − | 0.893883i | \(-0.352030\pi\) |
−0.893883 | + | 0.448300i | \(0.852030\pi\) | |||||||
\(422\) | 0.498414 | + | 0.863279i | 0.0242624 | + | 0.0420238i | ||||
\(423\) | 0.0295047 | + | 0.110113i | 0.00143457 | + | 0.00535389i | ||||
\(424\) | 0.268219 | − | 1.00101i | 0.0130259 | − | 0.0486132i | ||||
\(425\) | −10.4745 | − | 2.80663i | −0.508087 | − | 0.136141i | ||||
\(426\) | 0.491137 | + | 0.283558i | 0.0237957 | + | 0.0137384i | ||||
\(427\) | 3.14671 | + | 11.7437i | 0.152280 | + | 0.568316i | ||||
\(428\) | −7.93607 | − | 7.93607i | −0.383604 | − | 0.383604i | ||||
\(429\) | 36.2140 | 1.74843 | ||||||||
\(430\) | 0.891038 | 0.0429697 | ||||||||
\(431\) | 1.42230 | + | 1.42230i | 0.0685097 | + | 0.0685097i | 0.740531 | − | 0.672022i | \(-0.234574\pi\) |
−0.672022 | + | 0.740531i | \(0.734574\pi\) | |||||||
\(432\) | −17.8333 | + | 10.2961i | −0.858006 | + | 0.495370i | ||||
\(433\) | 30.4802 | − | 8.16715i | 1.46479 | − | 0.392488i | 0.563646 | − | 0.826016i | \(-0.309398\pi\) |
0.901140 | + | 0.433528i | \(0.142731\pi\) | |||||||
\(434\) | 0.00959612 | − | 0.0166210i | 0.000460629 | − | 0.000797832i | ||||
\(435\) | 22.8816i | 1.09709i | ||||||||
\(436\) | 9.03620 | + | 15.6512i | 0.432756 | + | 0.749555i | ||||
\(437\) | 6.77655 | 0.324166 | ||||||||
\(438\) | 0.198731 | − | 0.987167i | 0.00949575 | − | 0.0471687i | ||||
\(439\) | 13.7315 | 0.655370 | 0.327685 | − | 0.944787i | \(-0.393731\pi\) | ||||
0.327685 | + | 0.944787i | \(0.393731\pi\) | |||||||
\(440\) | −1.78866 | − | 3.09804i | −0.0852709 | − | 0.147693i | ||||
\(441\) | 0.0797555i | 0.00379788i | ||||||||
\(442\) | 0.709656 | − | 1.22916i | 0.0337549 | − | 0.0584652i | ||||
\(443\) | −39.4586 | + | 10.5729i | −1.87474 | + | 0.502334i | −0.874898 | + | 0.484307i | \(0.839072\pi\) |
−0.999838 | + | 0.0180264i | \(0.994262\pi\) | |||||||
\(444\) | −1.94448 | + | 1.12265i | −0.0922810 | + | 0.0532785i | ||||
\(445\) | 23.0884 | + | 23.0884i | 1.09450 | + | 1.09450i | ||||
\(446\) | 1.43944 | 0.0681594 | ||||||||
\(447\) | −42.0884 | −1.99071 | ||||||||
\(448\) | −6.49864 | − | 6.49864i | −0.307032 | − | 0.307032i | ||||
\(449\) | −4.17761 | − | 15.5911i | −0.197154 | − | 0.735787i | −0.991699 | − | 0.128582i | \(-0.958957\pi\) |
0.794545 | − | 0.607205i | \(-0.207709\pi\) | |||||||
\(450\) | −0.00182900 | − | 0.00105597i | −8.62197e−5 | − | 4.97789e-5i | ||||
\(451\) | −35.7106 | − | 9.56862i | −1.68155 | − | 0.450569i | ||||
\(452\) | 5.10967 | − | 19.0696i | 0.240339 | − | 0.896957i | ||||
\(453\) | 7.19970 | + | 26.8696i | 0.338271 | + | 1.26245i | ||||
\(454\) | −0.173431 | − | 0.300391i | −0.00813951 | − | 0.0140981i | ||||
\(455\) | −9.38090 | − | 9.38090i | −0.439783 | − | 0.439783i | ||||
\(456\) | 1.63225 | + | 2.82714i | 0.0764372 | + | 0.132393i | ||||
\(457\) | −12.1287 | + | 7.00252i | −0.567358 | + | 0.327564i | −0.756093 | − | 0.654464i | \(-0.772894\pi\) |
0.188736 | + | 0.982028i | \(0.439561\pi\) | |||||||
\(458\) | −0.0518596 | + | 0.193543i | −0.00242324 | + | 0.00904365i | ||||
\(459\) | −18.0578 | + | 18.0578i | −0.842865 | + | 0.842865i | ||||
\(460\) | 3.70103 | − | 3.70103i | 0.172562 | − | 0.172562i | ||||
\(461\) | 21.7721 | + | 12.5701i | 1.01403 | + | 0.585450i | 0.912369 | − | 0.409369i | \(-0.134251\pi\) |
0.101660 | + | 0.994819i | \(0.467585\pi\) | |||||||
\(462\) | 0.674774i | 0.0313933i | ||||||||
\(463\) | −17.8658 | + | 10.3148i | −0.830293 | + | 0.479370i | −0.853953 | − | 0.520350i | \(-0.825801\pi\) |
0.0236598 | + | 0.999720i | \(0.492468\pi\) | |||||||
\(464\) | −5.04950 | − | 18.8450i | −0.234417 | − | 0.874856i | ||||
\(465\) | − | 1.13071i | − | 0.0524356i | ||||||
\(466\) | −1.59647 | + | 0.427772i | −0.0739549 | + | 0.0198161i | ||||
\(467\) | 7.10274 | + | 1.90317i | 0.328676 | + | 0.0880684i | 0.419383 | − | 0.907809i | \(-0.362246\pi\) |
−0.0907079 | + | 0.995878i | \(0.528913\pi\) | |||||||
\(468\) | −0.0846320 | + | 0.0846320i | −0.00391211 | + | 0.00391211i | ||||
\(469\) | −10.8187 | − | 2.89887i | −0.499563 | − | 0.133857i | ||||
\(470\) | −0.734678 | + | 1.27250i | −0.0338882 | + | 0.0586960i | ||||
\(471\) | 37.6809 | − | 10.0966i | 1.73624 | − | 0.465225i | ||||
\(472\) | −0.476341 | + | 1.77773i | −0.0219254 | + | 0.0818266i | ||||
\(473\) | −20.8195 | − | 12.0201i | −0.957280 | − | 0.552686i | ||||
\(474\) | 0.567186 | − | 0.982396i | 0.0260517 | − | 0.0451229i | ||||
\(475\) | −7.63013 | + | 13.2158i | −0.350095 | + | 0.606381i | ||||
\(476\) | −9.91673 | − | 5.72543i | −0.454532 | − | 0.262424i | ||||
\(477\) | −0.0139766 | + | 0.0521614i | −0.000639945 | + | 0.00238831i | ||||
\(478\) | −0.627162 | + | 0.168048i | −0.0286857 | + | 0.00768632i | ||||
\(479\) | −0.0885703 | + | 0.153408i | −0.00404688 | + | 0.00700940i | −0.868042 | − | 0.496491i | \(-0.834621\pi\) |
0.863995 | + | 0.503501i | \(0.167955\pi\) | |||||||
\(480\) | 3.65467 | + | 0.979266i | 0.166812 | + | 0.0446972i | ||||
\(481\) | 1.94502 | − | 1.94502i | 0.0886853 | − | 0.0886853i | ||||
\(482\) | 1.14741 | + | 0.307449i | 0.0522633 | + | 0.0140039i | ||||
\(483\) | −1.90947 | + | 0.511642i | −0.0868841 | + | 0.0232805i | ||||
\(484\) | 26.2531i | 1.19332i | ||||||||
\(485\) | 5.42787 | + | 20.2571i | 0.246467 | + | 0.919828i | ||||
\(486\) | −0.00863496 | + | 0.00498540i | −0.000391690 | + | 0.000226142i | ||||
\(487\) | 8.57006i | 0.388346i | 0.980967 | + | 0.194173i | \(0.0622024\pi\) | ||||
−0.980967 | + | 0.194173i | \(0.937798\pi\) | |||||||
\(488\) | 2.45156 | + | 1.41541i | 0.110977 | + | 0.0640726i | ||||
\(489\) | 5.75793 | − | 5.75793i | 0.260383 | − | 0.260383i | ||||
\(490\) | −0.726903 | + | 0.726903i | −0.0328381 | + | 0.0328381i | ||||
\(491\) | 3.80705 | − | 14.2081i | 0.171810 | − | 0.641203i | −0.825263 | − | 0.564748i | \(-0.808973\pi\) |
0.997073 | − | 0.0764546i | \(-0.0243600\pi\) | |||||||
\(492\) | 22.5670 | − | 13.0290i | 1.01740 | − | 0.587394i | ||||
\(493\) | −12.0976 | − | 20.9537i | −0.544849 | − | 0.943707i | ||||
\(494\) | −1.41233 | − | 1.41233i | −0.0635438 | − | 0.0635438i | ||||
\(495\) | 0.0932050 | + | 0.161436i | 0.00418925 | + | 0.00725600i | ||||
\(496\) | 0.249526 | + | 0.931242i | 0.0112040 | + | 0.0418140i | ||||
\(497\) | −1.45075 | + | 5.41429i | −0.0650752 | + | 0.242864i | ||||
\(498\) | −0.862350 | − | 0.231066i | −0.0386428 | − | 0.0103543i | ||||
\(499\) | −29.7346 | − | 17.1673i | −1.33111 | − | 0.768514i | −0.345636 | − | 0.938369i | \(-0.612337\pi\) |
−0.985469 | + | 0.169855i | \(0.945670\pi\) | |||||||
\(500\) | −3.87880 | − | 14.4759i | −0.173465 | − | 0.647382i | ||||
\(501\) | 1.72289 | + | 1.72289i | 0.0769730 | + | 0.0769730i | ||||
\(502\) | 0.819128 | 0.0365595 | ||||||||
\(503\) | 0.390962 | 0.0174321 | 0.00871606 | − | 0.999962i | \(-0.497226\pi\) | ||||
0.00871606 | + | 0.999962i | \(0.497226\pi\) | |||||||
\(504\) | −0.00315753 | − | 0.00315753i | −0.000140648 | − | 0.000140648i | ||||
\(505\) | −17.2213 | + | 9.94271i | −0.766337 | + | 0.442445i | ||||
\(506\) | 0.315026 | − | 0.0844109i | 0.0140046 | − | 0.00375252i | ||||
\(507\) | 4.35030 | − | 7.53494i | 0.193204 | − | 0.334638i | ||||
\(508\) | − | 28.5114i | − | 1.26499i | ||||||
\(509\) | 2.09332 | + | 3.62573i | 0.0927846 | + | 0.160708i | 0.908682 | − | 0.417489i | \(-0.137090\pi\) |
−0.815897 | + | 0.578197i | \(0.803757\pi\) | |||||||
\(510\) | 1.55807 | 0.0689924 | ||||||||
\(511\) | 9.93292 | − | 0.627999i | 0.439406 | − | 0.0277810i | ||||
\(512\) | −5.38088 | −0.237804 | ||||||||
\(513\) | 17.9690 | + | 31.1232i | 0.793349 | + | 1.37412i | ||||
\(514\) | 0.532700i | 0.0234964i | ||||||||
\(515\) | 21.5234 | − | 37.2796i | 0.948434 | − | 1.64274i | ||||
\(516\) | 16.3671 | − | 4.38555i | 0.720522 | − | 0.193063i | ||||
\(517\) | 34.3321 | − | 19.8216i | 1.50992 | − | 0.871754i | ||||
\(518\) | 0.0362415 | + | 0.0362415i | 0.00159236 | + | 0.00159236i | ||||
\(519\) | −5.60476 | −0.246022 | ||||||||
\(520\) | −3.08896 | −0.135460 | ||||||||
\(521\) | 25.2821 | + | 25.2821i | 1.10763 | + | 1.10763i | 0.993462 | + | 0.114167i | \(0.0364199\pi\) |
0.114167 | + | 0.993462i | \(0.463580\pi\) | |||||||
\(522\) | −0.00121961 | − | 0.00455163i | −5.33807e−5 | − | 0.000199219i | ||||
\(523\) | 5.89561 | + | 3.40383i | 0.257797 | + | 0.148839i | 0.623329 | − | 0.781959i | \(-0.285780\pi\) |
−0.365532 | + | 0.930799i | \(0.619113\pi\) | |||||||
\(524\) | 20.4838 | + | 5.48862i | 0.894839 | + | 0.239771i | ||||
\(525\) | 1.15218 | − | 4.29999i | 0.0502852 | − | 0.187667i | ||||
\(526\) | 0.0383954 | + | 0.143294i | 0.00167412 | + | 0.00624791i | ||||
\(527\) | 0.597815 | + | 1.03545i | 0.0260412 | + | 0.0451047i | ||||
\(528\) | −23.9682 | − | 23.9682i | −1.04308 | − | 1.04308i | ||||
\(529\) | −11.0223 | − | 19.0911i | −0.479229 | − | 0.830049i | ||||
\(530\) | −0.602792 | + | 0.348022i | −0.0261836 | + | 0.0151171i | ||||
\(531\) | 0.0248216 | − | 0.0926355i | 0.00107717 | − | 0.00402004i | ||||
\(532\) | −11.3945 | + | 11.3945i | −0.494015 | + | 0.494015i | ||||
\(533\) | −22.5732 | + | 22.5732i | −0.977753 | + | 0.977753i | ||||
\(534\) | −1.24192 | − | 0.717022i | −0.0537431 | − | 0.0310286i | ||||
\(535\) | 15.0937i | 0.652557i | ||||||||
\(536\) | −2.25848 | + | 1.30393i | −0.0975514 | + | 0.0563213i | ||||
\(537\) | 3.06723 | + | 11.4471i | 0.132361 | + | 0.493977i | ||||
\(538\) | − | 1.31843i | − | 0.0568414i | ||||||
\(539\) | 26.7903 | − | 7.17845i | 1.15394 | − | 0.309198i | ||||
\(540\) | 26.8118 | + | 7.18420i | 1.15380 | + | 0.309159i | ||||
\(541\) | 22.0324 | − | 22.0324i | 0.947247 | − | 0.947247i | −0.0514300 | − | 0.998677i | \(-0.516378\pi\) |
0.998677 | + | 0.0514300i | \(0.0163779\pi\) | |||||||
\(542\) | 0.438106 | + | 0.117390i | 0.0188183 | + | 0.00504234i | ||||
\(543\) | 4.71152 | − | 8.16059i | 0.202191 | − | 0.350204i | ||||
\(544\) | −3.86449 | + | 1.03549i | −0.165689 | + | 0.0443961i | ||||
\(545\) | 6.29052 | − | 23.4765i | 0.269456 | − | 1.00562i | ||||
\(546\) | 0.504596 | + | 0.291328i | 0.0215947 | + | 0.0124677i | ||||
\(547\) | 4.22370 | − | 7.31566i | 0.180592 | − | 0.312795i | −0.761490 | − | 0.648176i | \(-0.775532\pi\) |
0.942082 | + | 0.335382i | \(0.108865\pi\) | |||||||
\(548\) | 11.3118 | − | 19.5927i | 0.483217 | − | 0.836957i | ||||
\(549\) | −0.127748 | − | 0.0737555i | −0.00545217 | − | 0.00314781i | ||||
\(550\) | −0.190087 | + | 0.709414i | −0.00810533 | + | 0.0302495i | ||||
\(551\) | −32.8887 | + | 8.81251i | −1.40111 | + | 0.375426i | ||||
\(552\) | −0.230140 | + | 0.398615i | −0.00979542 | + | 0.0169662i | ||||
\(553\) | 10.8299 | + | 2.90187i | 0.460535 | + | 0.123400i | ||||
\(554\) | −0.00225380 | + | 0.00225380i | −9.57548e−5 | + | 9.57548e-5i | ||||
\(555\) | 2.91670 | + | 0.781527i | 0.123807 | + | 0.0331740i | ||||
\(556\) | −5.60791 | + | 1.50264i | −0.237829 | + | 0.0637260i | ||||
\(557\) | − | 35.0915i | − | 1.48687i | −0.668806 | − | 0.743437i | \(-0.733194\pi\) | ||
0.668806 | − | 0.743437i | \(-0.266806\pi\) | |||||||
\(558\) | 6.02680e−5 | 0 | 0.000224923i | 2.55135e−6 | 0 | 9.52176e-6i | ||||
\(559\) | −17.9773 | + | 10.3792i | −0.760359 | + | 0.438993i | ||||
\(560\) | 12.4175i | 0.524735i | ||||||||
\(561\) | −36.4049 | − | 21.0184i | −1.53702 | − | 0.887397i | ||||
\(562\) | −0.315347 | + | 0.315347i | −0.0133021 | + | 0.0133021i | ||||
\(563\) | −3.53281 | + | 3.53281i | −0.148890 | + | 0.148890i | −0.777622 | − | 0.628732i | \(-0.783574\pi\) |
0.628732 | + | 0.777622i | \(0.283574\pi\) | |||||||
\(564\) | −7.23194 | + | 26.9900i | −0.304520 | + | 1.13648i | ||||
\(565\) | −22.9933 | + | 13.2752i | −0.967337 | + | 0.558492i | ||||
\(566\) | −0.505401 | − | 0.875380i | −0.0212436 | − | 0.0367950i | ||||
\(567\) | −7.44802 | − | 7.44802i | −0.312787 | − | 0.312787i | ||||
\(568\) | 0.652560 | + | 1.13027i | 0.0273808 | + | 0.0474249i | ||||
\(569\) | −0.994096 | − | 3.71002i | −0.0416747 | − | 0.155532i | 0.941953 | − | 0.335745i | \(-0.108988\pi\) |
−0.983628 | + | 0.180213i | \(0.942321\pi\) | |||||||
\(570\) | 0.567488 | − | 2.11789i | 0.0237694 | − | 0.0887088i | ||||
\(571\) | 25.6435 | + | 6.87115i | 1.07315 | + | 0.287549i | 0.751785 | − | 0.659408i | \(-0.229193\pi\) |
0.321361 | + | 0.946957i | \(0.395860\pi\) | |||||||
\(572\) | 36.0457 | + | 20.8110i | 1.50715 | + | 0.870152i | ||||
\(573\) | −6.24353 | − | 23.3012i | −0.260827 | − | 0.973421i | ||||
\(574\) | −0.420605 | − | 0.420605i | −0.0175557 | − | 0.0175557i | ||||
\(575\) | −2.15163 | −0.0897292 | ||||||||
\(576\) | 0.111507 | 0.00464612 | ||||||||
\(577\) | 12.6989 | + | 12.6989i | 0.528661 | + | 0.528661i | 0.920173 | − | 0.391512i | \(-0.128048\pi\) |
−0.391512 | + | 0.920173i | \(0.628048\pi\) | |||||||
\(578\) | −0.427359 | + | 0.246736i | −0.0177758 | + | 0.0102629i | ||||
\(579\) | −17.9059 | + | 4.79786i | −0.744143 | + | 0.199392i | ||||
\(580\) | −13.1493 | + | 22.7753i | −0.545995 | + | 0.945691i | ||||
\(581\) | − | 8.82400i | − | 0.366081i | ||||||
\(582\) | −0.460529 | − | 0.797660i | −0.0190895 | − | 0.0330641i | ||||
\(583\) | 18.7793 | 0.777759 | ||||||||
\(584\) | 1.53197 | − | 1.73876i | 0.0633934 | − | 0.0719503i | ||||
\(585\) | 0.160962 | 0.00665497 | ||||||||
\(586\) | −0.622815 | − | 1.07875i | −0.0257282 | − | 0.0445626i | ||||
\(587\) | − | 16.5000i | − | 0.681029i | −0.940239 | − | 0.340514i | \(-0.889399\pi\) | ||
0.940239 | − | 0.340514i | \(-0.110601\pi\) | |||||||
\(588\) | −9.77447 | + | 16.9299i | −0.403092 | + | 0.698177i | ||||
\(589\) | 1.62523 | − | 0.435478i | 0.0669663 | − | 0.0179436i | ||||
\(590\) | 1.07052 | − | 0.618066i | 0.0440727 | − | 0.0254454i | ||||
\(591\) | 1.01996 | + | 1.01996i | 0.0419554 | + | 0.0419554i | ||||
\(592\) | −2.57462 | −0.105816 | ||||||||
\(593\) | 37.9912 | 1.56011 | 0.780055 | − | 0.625710i | \(-0.215191\pi\) | ||||
0.780055 | + | 0.625710i | \(0.215191\pi\) | |||||||
\(594\) | 1.22301 | + | 1.22301i | 0.0501809 | + | 0.0501809i | ||||
\(595\) | 3.98574 | + | 14.8750i | 0.163399 | + | 0.609814i | ||||
\(596\) | −41.8928 | − | 24.1868i | −1.71600 | − | 0.990732i | ||||
\(597\) | 40.7302 | + | 10.9136i | 1.66698 | + | 0.446665i | ||||
\(598\) | 0.0728875 | − | 0.272020i | 0.00298059 | − | 0.0111237i | ||||
\(599\) | −2.33275 | − | 8.70596i | −0.0953137 | − | 0.355716i | 0.901753 | − | 0.432252i | \(-0.142281\pi\) |
−0.997067 | + | 0.0765358i | \(0.975614\pi\) | |||||||
\(600\) | −0.518258 | − | 0.897649i | −0.0211578 | − | 0.0366464i | ||||
\(601\) | −5.98344 | − | 5.98344i | −0.244070 | − | 0.244070i | 0.574462 | − | 0.818531i | \(-0.305211\pi\) |
−0.818531 | + | 0.574462i | \(0.805211\pi\) | |||||||
\(602\) | −0.193395 | − | 0.334970i | −0.00788220 | − | 0.0136524i | ||||
\(603\) | 0.117687 | − | 0.0679466i | 0.00479258 | − | 0.00276700i | ||||
\(604\) | −8.27487 | + | 30.8822i | −0.336700 | + | 1.25658i | ||||
\(605\) | 24.9655 | − | 24.9655i | 1.01499 | − | 1.01499i | ||||
\(606\) | 0.617552 | − | 0.617552i | 0.0250863 | − | 0.0250863i | ||||
\(607\) | −22.9251 | − | 13.2358i | −0.930501 | − | 0.537225i | −0.0435311 | − | 0.999052i | \(-0.513861\pi\) |
−0.886970 | + | 0.461827i | \(0.847194\pi\) | |||||||
\(608\) | 5.63018i | 0.228334i | ||||||||
\(609\) | 8.60192 | − | 4.96632i | 0.348568 | − | 0.201246i | ||||
\(610\) | −0.492098 | − | 1.83654i | −0.0199245 | − | 0.0743592i | ||||
\(611\) | − | 34.2314i | − | 1.38485i | ||||||
\(612\) | 0.134198 | − | 0.0359583i | 0.00542463 | − | 0.00145353i | ||||
\(613\) | −3.51743 | − | 0.942493i | −0.142068 | − | 0.0380669i | 0.187084 | − | 0.982344i | \(-0.440096\pi\) |
−0.329152 | + | 0.944277i | \(0.606763\pi\) | |||||||
\(614\) | −0.632339 | + | 0.632339i | −0.0255191 | + | 0.0255191i | ||||
\(615\) | −33.8501 | − | 9.07012i | −1.36497 | − | 0.365742i | ||||
\(616\) | −0.776437 | + | 1.34483i | −0.0312835 | + | 0.0541847i | ||||
\(617\) | 16.8950 | − | 4.52700i | 0.680166 | − | 0.182250i | 0.0978363 | − | 0.995203i | \(-0.468808\pi\) |
0.582330 | + | 0.812953i | \(0.302141\pi\) | |||||||
\(618\) | −0.489317 | + | 1.82616i | −0.0196832 | + | 0.0734588i | ||||
\(619\) | 7.78318 | + | 4.49362i | 0.312833 | + | 0.180614i | 0.648193 | − | 0.761476i | \(-0.275525\pi\) |
−0.335361 | + | 0.942090i | \(0.608858\pi\) | |||||||
\(620\) | 0.649785 | − | 1.12546i | 0.0260960 | − | 0.0451996i | ||||
\(621\) | −2.53355 | + | 4.38823i | −0.101668 | + | 0.176094i | ||||
\(622\) | 0.736094 | + | 0.424984i | 0.0295147 | + | 0.0170403i | ||||
\(623\) | 3.66846 | − | 13.6909i | 0.146974 | − | 0.548514i | ||||
\(624\) | −28.2716 | + | 7.57534i | −1.13177 | + | 0.303256i | ||||
\(625\) | −15.5804 | + | 26.9860i | −0.623214 | + | 1.07944i | ||||
\(626\) | −1.62254 | − | 0.434758i | −0.0648497 | − | 0.0173764i | ||||
\(627\) | −41.8300 | + | 41.8300i | −1.67053 | + | 1.67053i | ||||
\(628\) | 43.3080 | + | 11.6043i | 1.72818 | + | 0.463064i | ||||
\(629\) | −3.08415 | + | 0.826396i | −0.122973 | + | 0.0329506i | ||||
\(630\) | 0.00299920i | 0.000119491i | ||||||||
\(631\) | −2.86485 | − | 10.6918i | −0.114048 | − | 0.425632i | 0.885166 | − | 0.465275i | \(-0.154045\pi\) |
−0.999214 | + | 0.0396431i | \(0.987378\pi\) | |||||||
\(632\) | 2.26081 | − | 1.30528i | 0.0899303 | − | 0.0519213i | ||||
\(633\) | − | 25.4934i | − | 1.01327i | ||||||
\(634\) | −1.59557 | − | 0.921205i | −0.0633684 | − | 0.0365857i | ||||
\(635\) | −27.1131 | + | 27.1131i | −1.07595 | + | 1.07595i | ||||
\(636\) | −9.35952 | + | 9.35952i | −0.371129 | + | 0.371129i | ||||
\(637\) | 6.19848 | − | 23.1330i | 0.245593 | − | 0.916564i | ||||
\(638\) | −1.41915 | + | 0.819346i | −0.0561846 | + | 0.0324382i | ||||
\(639\) | −0.0340042 | − | 0.0588970i | −0.00134518 | − | 0.00232993i | ||||
\(640\) | 4.09833 | + | 4.09833i | 0.162001 | + | 0.162001i | ||||
\(641\) | 17.2076 | + | 29.8045i | 0.679660 | + | 1.17721i | 0.975083 | + | 0.221840i | \(0.0712062\pi\) |
−0.295423 | + | 0.955367i | \(0.595460\pi\) | |||||||
\(642\) | −0.171571 | − | 0.640313i | −0.00677138 | − | 0.0252711i | ||||
\(643\) | −7.87286 | + | 29.3819i | −0.310475 | + | 1.15871i | 0.617653 | + | 0.786450i | \(0.288083\pi\) |
−0.928129 | + | 0.372259i | \(0.878583\pi\) | |||||||
\(644\) | −2.19463 | − | 0.588049i | −0.0864804 | − | 0.0231724i | ||||
\(645\) | −19.7348 | − | 11.3939i | −0.777058 | − | 0.448635i | ||||
\(646\) | 0.600068 | + | 2.23948i | 0.0236094 | + | 0.0881113i | ||||
\(647\) | 24.0883 | + | 24.0883i | 0.947007 | + | 0.947007i | 0.998665 | − | 0.0516579i | \(-0.0164505\pi\) |
−0.0516579 | + | 0.998665i | \(0.516451\pi\) | |||||||
\(648\) | −2.45250 | −0.0963432 | ||||||||
\(649\) | −33.3509 | −1.30914 | ||||||||
\(650\) | 0.448431 | + | 0.448431i | 0.0175889 | + | 0.0175889i | ||||
\(651\) | −0.425072 | + | 0.245416i | −0.0166599 | + | 0.00961859i | ||||
\(652\) | 9.04007 | − | 2.42228i | 0.354037 | − | 0.0948638i | ||||
\(653\) | −0.197265 | + | 0.341673i | −0.00771957 | + | 0.0133707i | −0.869859 | − | 0.493300i | \(-0.835791\pi\) |
0.862140 | + | 0.506670i | \(0.169124\pi\) | |||||||
\(654\) | 1.06744i | 0.0417403i | ||||||||
\(655\) | −14.2597 | − | 24.6986i | −0.557174 | − | 0.965053i | ||||
\(656\) | 29.8801 | 1.16662 | ||||||||
\(657\) | −0.0798293 | + | 0.0906048i | −0.00311444 | + | 0.00353483i | ||||
\(658\) | 0.637832 | 0.0248653 | ||||||||
\(659\) | 3.49855 | + | 6.05967i | 0.136284 | + | 0.236051i | 0.926087 | − | 0.377309i | \(-0.123151\pi\) |
−0.789803 | + | 0.613361i | \(0.789817\pi\) | |||||||
\(660\) | 45.6912i | 1.77853i | ||||||||
\(661\) | 3.53720 | − | 6.12661i | 0.137581 | − | 0.238297i | −0.788999 | − | 0.614394i | \(-0.789401\pi\) |
0.926580 | + | 0.376097i | \(0.122734\pi\) | |||||||
\(662\) | 0.913817 | − | 0.244856i | 0.0355165 | − | 0.00951661i | ||||
\(663\) | −31.4351 | + | 18.1491i | −1.22084 | + | 0.704851i | ||||
\(664\) | −1.45279 | − | 1.45279i | −0.0563792 | − | 0.0563792i | ||||
\(665\) | 21.6713 | 0.840379 | ||||||||
\(666\) | −0.000621850 | 0 | −2.40962e−5 | 0 | ||||||
\(667\) | −3.39464 | − | 3.39464i | −0.131441 | − | 0.131441i | ||||
\(668\) | 0.724795 | + | 2.70497i | 0.0280432 | + | 0.104659i | ||||
\(669\) | −31.8809 | − | 18.4064i | −1.23258 | − | 0.711633i | ||||
\(670\) | 1.69189 | + | 0.453341i | 0.0653634 | + | 0.0175141i | ||||
\(671\) | −13.2768 | + | 49.5498i | −0.512547 | + | 1.91285i | ||||
\(672\) | −0.425089 | − | 1.58645i | −0.0163982 | − | 0.0611988i | ||||
\(673\) | 3.09080 | + | 5.35343i | 0.119142 | + | 0.206359i | 0.919428 | − | 0.393259i | \(-0.128652\pi\) |
−0.800286 | + | 0.599618i | \(0.795319\pi\) | |||||||
\(674\) | −0.158793 | − | 0.158793i | −0.00611649 | − | 0.00611649i | ||||
\(675\) | −5.70535 | − | 9.88196i | −0.219599 | − | 0.380357i | ||||
\(676\) | 8.66018 | − | 4.99995i | 0.333084 | − | 0.192306i | ||||
\(677\) | −2.43095 | + | 9.07242i | −0.0934289 | + | 0.348682i | −0.996777 | − | 0.0802276i | \(-0.974435\pi\) |
0.903348 | + | 0.428909i | \(0.141102\pi\) | |||||||
\(678\) | 0.824537 | − | 0.824537i | 0.0316661 | − | 0.0316661i | ||||
\(679\) | 6.43721 | − | 6.43721i | 0.247037 | − | 0.247037i | ||||
\(680\) | 3.10524 | + | 1.79281i | 0.119081 | + | 0.0687512i | ||||
\(681\) | 8.87080i | 0.339930i | ||||||||
\(682\) | 0.0701285 | − | 0.0404887i | 0.00268536 | − | 0.00155039i | ||||
\(683\) | −1.69603 | − | 6.32969i | −0.0648969 | − | 0.242199i | 0.925856 | − | 0.377876i | \(-0.123346\pi\) |
−0.990753 | + | 0.135678i | \(0.956679\pi\) | |||||||
\(684\) | − | 0.195513i | − | 0.00747563i | ||||||
\(685\) | −29.3887 | + | 7.87469i | −1.12289 | + | 0.300876i | ||||
\(686\) | 0.965722 | + | 0.258765i | 0.0368715 | + | 0.00987968i | ||||
\(687\) | 3.62347 | − | 3.62347i | 0.138244 | − | 0.138244i | ||||
\(688\) | 18.7678 | + | 5.02881i | 0.715514 | + | 0.191721i | ||||
\(689\) | 8.10782 | − | 14.0432i | 0.308884 | − | 0.535002i | ||||
\(690\) | 0.298614 | − | 0.0800133i | 0.0113680 | − | 0.00304605i | ||||
\(691\) | −2.21603 | + | 8.27032i | −0.0843016 | + | 0.314618i | −0.995181 | − | 0.0980547i | \(-0.968738\pi\) |
0.910879 | + | 0.412673i | \(0.135405\pi\) | |||||||
\(692\) | −5.57872 | − | 3.22087i | −0.212071 | − | 0.122439i | ||||
\(693\) | 0.0404593 | − | 0.0700776i | 0.00153692 | − | 0.00266203i | ||||
\(694\) | −0.801086 | + | 1.38752i | −0.0304088 | + | 0.0526696i | ||||
\(695\) | 6.76181 | + | 3.90393i | 0.256490 | + | 0.148085i | ||||
\(696\) | 0.598568 | − | 2.23389i | 0.0226887 | − | 0.0846753i | ||||
\(697\) | 35.7935 | − | 9.59085i | 1.35578 | − | 0.363279i | ||||
\(698\) | −0.227388 | + | 0.393848i | −0.00860678 | + | 0.0149074i | ||||
\(699\) | 40.8287 | + | 10.9400i | 1.54428 | + | 0.413790i | ||||
\(700\) | 3.61789 | − | 3.61789i | 0.136743 | − | 0.136743i | ||||
\(701\) | −31.7054 | − | 8.49544i | −1.19750 | − | 0.320868i | −0.395652 | − | 0.918401i | \(-0.629481\pi\) |
−0.801845 | + | 0.597532i | \(0.796148\pi\) | |||||||
\(702\) | 1.44260 | − | 0.386543i | 0.0544473 | − | 0.0145891i | ||||
\(703\) | 4.49330i | 0.169468i | ||||||||
\(704\) | −10.0363 | − | 37.4558i | −0.378256 | − | 1.41167i | ||||
\(705\) | 32.5435 | − | 18.7890i | 1.22566 | − | 0.707634i | ||||
\(706\) | 1.08239i | 0.0407362i | ||||||||
\(707\) | 7.47557 | + | 4.31602i | 0.281148 | + | 0.162321i | ||||
\(708\) | 16.6219 | − | 16.6219i | 0.624691 | − | 0.624691i | ||||
\(709\) | 13.5610 | − | 13.5610i | 0.509294 | − | 0.509294i | −0.405016 | − | 0.914310i | \(-0.632734\pi\) |
0.914310 | + | 0.405016i | \(0.132734\pi\) | |||||||
\(710\) | 0.226877 | − | 0.846715i | 0.00851453 | − | 0.0317766i | ||||
\(711\) | −0.117808 | + | 0.0680168i | −0.00441816 | + | 0.00255083i | ||||
\(712\) | −1.65010 | − | 2.85806i | −0.0618402 | − | 0.107110i | ||||
\(713\) | 0.167749 | + | 0.167749i | 0.00628227 | + | 0.00628227i | ||||
\(714\) | −0.338171 | − | 0.585729i | −0.0126557 | − | 0.0219203i | ||||
\(715\) | −14.4875 | − | 54.0682i | −0.541802 | − | 2.02203i | ||||
\(716\) | −3.52528 | + | 13.1565i | −0.131746 | + | 0.491682i | ||||
\(717\) | 16.0393 | + | 4.29772i | 0.599000 | + | 0.160501i | ||||
\(718\) | 0.559990 | + | 0.323310i | 0.0208986 | + | 0.0120658i | ||||
\(719\) | 8.43708 | + | 31.4876i | 0.314650 | + | 1.17429i | 0.924315 | + | 0.381630i | \(0.124637\pi\) |
−0.609665 | + | 0.792659i | \(0.708696\pi\) | |||||||
\(720\) | −0.106533 | − | 0.106533i | −0.00397025 | − | 0.00397025i | ||||
\(721\) | −18.6862 | −0.695909 | ||||||||
\(722\) | 1.97289 | 0.0734232 | ||||||||
\(723\) | −21.4817 | − | 21.4817i | −0.798911 | − | 0.798911i | ||||
\(724\) | 9.37925 | − | 5.41511i | 0.348577 | − | 0.201251i | ||||
\(725\) | 10.4425 | − | 2.79807i | 0.387826 | − | 0.103918i | ||||
\(726\) | −0.775315 | + | 1.34288i | −0.0287746 | + | 0.0498391i | ||||
\(727\) | − | 0.0876925i | − | 0.00325234i | −0.999999 | − | 0.00162617i | \(-0.999482\pi\) | ||
0.999999 | − | 0.00162617i | \(-0.000517625\pi\) | |||||||
\(728\) | 0.670442 | + | 1.16124i | 0.0248482 | + | 0.0430384i | ||||
\(729\) | −26.8716 | −0.995245 | ||||||||
\(730\) | −1.55336 | + | 0.0982098i | −0.0574925 | + | 0.00363491i | ||||
\(731\) | 24.0961 | 0.891227 | ||||||||
\(732\) | −18.0783 | − | 31.3125i | −0.668193 | − | 1.15734i | ||||
\(733\) | − | 1.01752i | − | 0.0375831i | −0.999823 | − | 0.0187916i | \(-0.994018\pi\) | ||
0.999823 | − | 0.0187916i | \(-0.00598189\pi\) | |||||||
\(734\) | 0.506275 | − | 0.876894i | 0.0186869 | − | 0.0323667i | ||||
\(735\) | 25.3946 | − | 6.80447i | 0.936694 | − | 0.250987i | ||||
\(736\) | −0.687477 | + | 0.396915i | −0.0253408 | + | 0.0146305i | ||||
\(737\) | −33.4161 | − | 33.4161i | −1.23090 | − | 1.23090i | ||||
\(738\) | 0.00721696 | 0.000265660 | ||||||||
\(739\) | −2.68830 | −0.0988908 | −0.0494454 | − | 0.998777i | \(-0.515745\pi\) | ||||
−0.0494454 | + | 0.998777i | \(0.515745\pi\) | |||||||
\(740\) | 2.45403 | + | 2.45403i | 0.0902119 | + | 0.0902119i | ||||
\(741\) | 13.2207 | + | 49.3403i | 0.485674 | + | 1.81256i | ||||
\(742\) | 0.261666 | + | 0.151073i | 0.00960605 | + | 0.00554605i | ||||
\(743\) | −8.56343 | − | 2.29456i | −0.314162 | − | 0.0841794i | 0.0982929 | − | 0.995158i | \(-0.468662\pi\) |
−0.412455 | + | 0.910978i | \(0.635328\pi\) | |||||||
\(744\) | −0.0295788 | + | 0.110390i | −0.00108441 | + | 0.00404708i | ||||
\(745\) | 16.8376 | + | 62.8387i | 0.616881 | + | 2.30223i | ||||
\(746\) | −0.609259 | − | 1.05527i | −0.0223066 | − | 0.0386361i | ||||
\(747\) | 0.0757033 | + | 0.0757033i | 0.00276984 | + | 0.00276984i | ||||
\(748\) | −24.1572 | − | 41.8415i | −0.883274 | − | 1.52988i | ||||
\(749\) | 5.67420 | − | 3.27600i | 0.207331 | − | 0.119703i | ||||
\(750\) | 0.229100 | − | 0.855015i | 0.00836557 | − | 0.0312207i | ||||
\(751\) | 19.8398 | − | 19.8398i | 0.723966 | − | 0.723966i | −0.245445 | − | 0.969411i | \(-0.578934\pi\) |
0.969411 | + | 0.245445i | \(0.0789341\pi\) | |||||||
\(752\) | −22.6560 | + | 22.6560i | −0.826181 | + | 0.826181i | ||||
\(753\) | −18.1422 | − | 10.4744i | −0.661137 | − | 0.381708i | ||||
\(754\) | 1.41499i | 0.0515307i | ||||||||
\(755\) | 37.2366 | − | 21.4986i | 1.35518 | − | 0.782413i | ||||
\(756\) | −3.11859 | − | 11.6387i | −0.113422 | − | 0.423296i | ||||
\(757\) | 29.6904i | 1.07912i | 0.841948 | + | 0.539558i | \(0.181409\pi\) | ||||
−0.841948 | + | 0.539558i | \(0.818591\pi\) | |||||||
\(758\) | 1.11073 | − | 0.297619i | 0.0403435 | − | 0.0108100i | ||||
\(759\) | −8.05661 | − | 2.15876i | −0.292436 | − | 0.0783581i | ||||
\(760\) | 3.56799 | − | 3.56799i | 0.129425 | − | 0.129425i | ||||
\(761\) | −16.7475 | − | 4.48748i | −0.607097 | − | 0.162671i | −0.0578417 | − | 0.998326i | \(-0.518422\pi\) |
−0.549255 | + | 0.835655i | \(0.685089\pi\) | |||||||
\(762\) | 0.842010 | − | 1.45840i | 0.0305028 | − | 0.0528324i | ||||
\(763\) | −10.1909 | + | 2.73065i | −0.368936 | + | 0.0988561i | ||||
\(764\) | 7.17592 | − | 26.7809i | 0.259616 | − | 0.968898i | ||||
\(765\) | −0.161811 | − | 0.0934215i | −0.00585028 | − | 0.00337766i | ||||
\(766\) | −0.589385 | + | 1.02084i | −0.0212953 | + | 0.0368846i | ||||
\(767\) | −14.3990 | + | 24.9398i | −0.519918 | + | 0.900524i | ||||
\(768\) | 23.5041 | + | 13.5701i | 0.848130 | + | 0.489668i | ||||
\(769\) | −2.64260 | + | 9.86232i | −0.0952946 | + | 0.355644i | −0.997064 | − | 0.0765733i | \(-0.975602\pi\) |
0.901769 | + | 0.432218i | \(0.142269\pi\) | |||||||
\(770\) | 1.00745 | − | 0.269945i | 0.0363060 | − | 0.00972815i | ||||
\(771\) | 6.81176 | − | 11.7983i | 0.245319 | − | 0.424906i | ||||
\(772\) | −20.5799 | − | 5.51436i | −0.740685 | − | 0.198466i | ||||
\(773\) | −2.90236 | + | 2.90236i | −0.104391 | + | 0.104391i | −0.757373 | − | 0.652982i | \(-0.773518\pi\) |
0.652982 | + | 0.757373i | \(0.273518\pi\) | |||||||
\(774\) | 0.00453298 | + | 0.00121461i | 0.000162935 | + | 4.36582e-5i | ||||
\(775\) | −0.516028 | + | 0.138269i | −0.0185363 | + | 0.00496678i | ||||
\(776\) | − | 2.11966i | − | 0.0760912i | ||||||
\(777\) | −0.339253 | − | 1.26611i | −0.0121706 | − | 0.0454214i | ||||
\(778\) | −0.533533 | + | 0.308036i | −0.0191281 | + | 0.0110436i | ||||
\(779\) | − | 52.1476i | − | 1.86838i | ||||||
\(780\) | 34.1678 | + | 19.7268i | 1.22341 | + | 0.706333i | ||||
\(781\) | −16.7233 | + | 16.7233i | −0.598405 | + | 0.598405i | ||||
\(782\) | −0.231151 | + | 0.231151i | −0.00826593 | + | 0.00826593i | ||||
\(783\) | 6.58946 | − | 24.5922i | 0.235488 | − | 0.878854i | ||||
\(784\) | −19.4131 | + | 11.2081i | −0.693324 | + | 0.400291i | ||||
\(785\) | −30.1487 | − | 52.2191i | −1.07605 | − | 1.86378i | ||||
\(786\) | 0.885686 | + | 0.885686i | 0.0315914 | + | 0.0315914i | ||||
\(787\) | −23.3067 | − | 40.3685i | −0.830796 | − | 1.43898i | −0.897408 | − | 0.441201i | \(-0.854552\pi\) |
0.0666125 | − | 0.997779i | \(-0.478781\pi\) | |||||||
\(788\) | 0.429081 | + | 1.60135i | 0.0152854 | + | 0.0570458i | ||||
\(789\) | 0.981943 | − | 3.66466i | 0.0349581 | − | 0.130465i | ||||
\(790\) | −1.69364 | − | 0.453809i | −0.0602570 | − | 0.0161458i | ||||
\(791\) | 9.98116 | + | 5.76263i | 0.354889 | + | 0.204895i | ||||
\(792\) | −0.00487637 | − | 0.0181989i | −0.000173274 | − | 0.000646669i | ||||
\(793\) | 31.3212 | + | 31.3212i | 1.11225 | + | 1.11225i | ||||
\(794\) | −0.418018 | −0.0148349 | ||||||||
\(795\) | 17.8010 | 0.631335 | ||||||||
\(796\) | 34.2693 | + | 34.2693i | 1.21464 | + | 1.21464i | ||||
\(797\) | 25.7996 | − | 14.8954i | 0.913869 | − | 0.527623i | 0.0321951 | − | 0.999482i | \(-0.489750\pi\) |
0.881674 | + | 0.471859i | \(0.156417\pi\) | |||||||
\(798\) | −0.919355 | + | 0.246340i | −0.0325448 | + | 0.00872035i | ||||
\(799\) | −19.8677 | + | 34.4118i | −0.702868 | + | 1.21740i | ||||
\(800\) | − | 1.78764i | − | 0.0632028i | ||||||
\(801\) | 0.0859850 | + | 0.148930i | 0.00303813 | + | 0.00526220i | ||||
\(802\) | −2.62535 | −0.0927043 | ||||||||
\(803\) | 37.6198 | + | 18.6602i | 1.32757 | + | 0.658503i | ||||
\(804\) | 33.3089 | 1.17471 | ||||||||
\(805\) | 1.52778 | + | 2.64620i | 0.0538473 | + | 0.0932662i | ||||
\(806\) | − | 0.0699228i | − | 0.00246293i | ||||||
\(807\) | −16.8590 | + | 29.2007i | −0.593465 | + | 1.02791i | ||||
\(808\) | 1.94138 | − | 0.520191i | 0.0682975 | − | 0.0183002i | ||||
\(809\) | −9.73232 | + | 5.61896i | −0.342170 | + | 0.197552i | −0.661231 | − | 0.750182i | \(-0.729966\pi\) |
0.319061 | + | 0.947734i | \(0.396632\pi\) | |||||||
\(810\) | 1.16476 | + | 1.16476i | 0.0409255 | + | 0.0409255i | ||||
\(811\) | 50.1731 | 1.76182 | 0.880909 | − | 0.473286i | \(-0.156932\pi\) | ||||
0.880909 | + | 0.473286i | \(0.156932\pi\) | |||||||
\(812\) | 11.4159 | 0.400621 | ||||||||
\(813\) | −8.20213 | − | 8.20213i | −0.287661 | − | 0.287661i | ||||
\(814\) | 0.0559700 | + | 0.208883i | 0.00196175 | + | 0.00732134i | ||||
\(815\) | −10.9002 | − | 6.29322i | −0.381816 | − | 0.220442i | ||||
\(816\) | 32.8173 | + | 8.79337i | 1.14883 | + | 0.307829i | ||||
\(817\) | 8.77640 | − | 32.7540i | 0.307048 | − | 1.14592i | ||||
\(818\) | −0.141068 | − | 0.526471i | −0.00493231 | − | 0.0184076i | ||||
\(819\) | −0.0349360 | − | 0.0605109i | −0.00122076 | − | 0.00211442i | ||||
\(820\) | −28.4806 | − | 28.4806i | −0.994585 | − | 0.994585i | ||||
\(821\) | 26.8381 | + | 46.4850i | 0.936657 | + | 1.62234i | 0.771651 | + | 0.636046i | \(0.219431\pi\) |
0.165006 | + | 0.986293i | \(0.447236\pi\) | |||||||
\(822\) | 1.15723 | − | 0.668129i | 0.0403632 | − | 0.0233037i | ||||
\(823\) | 3.81120 | − | 14.2236i | 0.132850 | − | 0.495804i | −0.867147 | − | 0.498052i | \(-0.834049\pi\) |
0.999997 | + | 0.00224816i | \(0.000715611\pi\) | |||||||
\(824\) | −3.07650 | + | 3.07650i | −0.107175 | + | 0.107175i | ||||
\(825\) | 13.2815 | − | 13.2815i | 0.462402 | − | 0.462402i | ||||
\(826\) | −0.464702 | − | 0.268296i | −0.0161691 | − | 0.00933521i | ||||
\(827\) | − | 32.4358i | − | 1.12790i | −0.825808 | − | 0.563952i | \(-0.809280\pi\) | ||
0.825808 | − | 0.563952i | \(-0.190720\pi\) | |||||||
\(828\) | 0.0238733 | − | 0.0137833i | 0.000829654 | − | 0.000479001i | ||||
\(829\) | 4.52848 | + | 16.9005i | 0.157281 | + | 0.586980i | 0.998899 | + | 0.0469072i | \(0.0149365\pi\) |
−0.841619 | + | 0.540072i | \(0.818397\pi\) | |||||||
\(830\) | 1.37994i | 0.0478985i | ||||||||
\(831\) | 0.0787373 | − | 0.0210976i | 0.00273137 | − | 0.000731867i | ||||
\(832\) | −32.3426 | − | 8.66616i | −1.12128 | − | 0.300445i | ||||
\(833\) | −19.6574 | + | 19.6574i | −0.681090 | + | 0.681090i | ||||
\(834\) | −0.331230 | − | 0.0887527i | −0.0114695 | − | 0.00307326i | ||||
\(835\) | 1.88306 | − | 3.26155i | 0.0651659 | − | 0.112871i | ||||
\(836\) | −65.6740 | + | 17.5973i | −2.27138 | + | 0.608615i | ||||
\(837\) | −0.325624 | + | 1.21525i | −0.0112552 | + | 0.0420051i | ||||
\(838\) | −0.200162 | − | 0.115564i | −0.00691448 | − | 0.00399208i | ||||
\(839\) | −7.89537 | + | 13.6752i | −0.272578 | + | 0.472120i | −0.969521 | − | 0.245007i | \(-0.921210\pi\) |
0.696943 | + | 0.717127i | \(0.254543\pi\) | |||||||
\(840\) | −0.735987 | + | 1.27477i | −0.0253939 | + | 0.0439836i | ||||
\(841\) | −4.22492 | − | 2.43926i | −0.145687 | − | 0.0841124i | ||||
\(842\) | 0.227173 | − | 0.847820i | 0.00782889 | − | 0.0292178i | ||||
\(843\) | 11.0168 | − | 2.95193i | 0.379437 | − | 0.101670i | ||||
\(844\) | 14.6502 | − | 25.3749i | 0.504281 | − | 0.873440i | ||||
\(845\) | −12.9902 | − | 3.48070i | −0.446875 | − | 0.119740i | ||||
\(846\) | −0.00547212 | + | 0.00547212i | −0.000188135 | + | 0.000188135i | ||||
\(847\) | −14.8039 | − | 3.96671i | −0.508670 | − | 0.136298i | ||||
\(848\) | −14.6606 | + | 3.92831i | −0.503448 | + | 0.134899i | ||||
\(849\) | 25.8507i | 0.887194i | ||||||||
\(850\) | −0.190528 | − | 0.711062i | −0.00653507 | − | 0.0243892i | ||||
\(851\) | −0.548658 | + | 0.316768i | −0.0188078 | + | 0.0108587i | ||||
\(852\) | − | 16.6696i | − | 0.571091i | ||||||
\(853\) | 18.4792 | + | 10.6690i | 0.632716 | + | 0.365299i | 0.781803 | − | 0.623525i | \(-0.214300\pi\) |
−0.149087 | + | 0.988824i | \(0.547633\pi\) | |||||||
\(854\) | −0.583606 | + | 0.583606i | −0.0199706 | + | 0.0199706i | ||||
\(855\) | −0.185924 | + | 0.185924i | −0.00635847 | + | 0.00635847i | ||||
\(856\) | 0.394842 | − | 1.47357i | 0.0134954 | − | 0.0503656i | ||||
\(857\) | −28.3780 | + | 16.3841i | −0.969375 | + | 0.559669i | −0.899046 | − | 0.437855i | \(-0.855738\pi\) |
−0.0703294 | + | 0.997524i | \(0.522405\pi\) | |||||||
\(858\) | 1.22920 | + | 2.12903i | 0.0419641 | + | 0.0726839i | ||||
\(859\) | 14.8137 | + | 14.8137i | 0.505437 | + | 0.505437i | 0.913123 | − | 0.407685i | \(-0.133664\pi\) |
−0.407685 | + | 0.913123i | \(0.633664\pi\) | |||||||
\(860\) | −13.0954 | − | 22.6819i | −0.446550 | − | 0.773448i | ||||
\(861\) | 3.93724 | + | 14.6940i | 0.134181 | + | 0.500770i | ||||
\(862\) | −0.0353408 | + | 0.131894i | −0.00120371 | + | 0.00449232i | ||||
\(863\) | −40.8399 | − | 10.9430i | −1.39020 | − | 0.372504i | −0.515387 | − | 0.856957i | \(-0.672352\pi\) |
−0.874817 | + | 0.484453i | \(0.839019\pi\) | |||||||
\(864\) | −3.64588 | − | 2.10495i | −0.124036 | − | 0.0716119i | ||||
\(865\) | 2.24220 | + | 8.36801i | 0.0762371 | + | 0.284521i | ||||
\(866\) | 1.51473 | + | 1.51473i | 0.0514725 | + | 0.0514725i | ||||
\(867\) | 12.6203 | 0.428607 | ||||||||
\(868\) | −0.564130 | −0.0191478 | ||||||||
\(869\) | 33.4507 | + | 33.4507i | 1.13474 | + | 1.13474i | ||||
\(870\) | −1.34521 | + | 0.776660i | −0.0456070 | + | 0.0263312i | ||||
\(871\) | −39.4157 | + | 10.5614i | −1.33555 | + | 0.357860i | ||||
\(872\) | −1.22827 | + | 2.12742i | −0.0415943 | + | 0.0720435i | ||||
\(873\) | 0.110453i | 0.00373827i | ||||||||
\(874\) | 0.230014 | + | 0.398395i | 0.00778033 | + | 0.0134759i | ||||
\(875\) | 8.74894 | 0.295768 | ||||||||
\(876\) | −28.0497 | + | 9.44938i | −0.947711 | + | 0.319265i | ||||
\(877\) | 36.7816 | 1.24203 | 0.621014 | − | 0.783800i | \(-0.286721\pi\) | ||||
0.621014 | + | 0.783800i | \(0.286721\pi\) | |||||||
\(878\) | 0.466084 | + | 0.807281i | 0.0157296 | + | 0.0272444i | ||||
\(879\) | 31.8563i | 1.07449i | ||||||||
\(880\) | −26.1965 | + | 45.3736i | −0.883082 | + | 1.52954i | ||||
\(881\) | −51.6580 | + | 13.8417i | −1.74040 | + | 0.466340i | −0.982537 | − | 0.186069i | \(-0.940425\pi\) |
−0.757867 | + | 0.652409i | \(0.773758\pi\) | |||||||
\(882\) | −0.00468885 | + | 0.00270711i | −0.000157882 | + | 9.11530e-5i | ||||
\(883\) | −6.23372 | − | 6.23372i | −0.209781 | − | 0.209781i | 0.594393 | − | 0.804175i | \(-0.297392\pi\) |
−0.804175 | + | 0.594393i | \(0.797392\pi\) | |||||||
\(884\) | −41.7187 | −1.40315 | ||||||||
\(885\) | −31.6134 | −1.06267 | ||||||||
\(886\) | −1.96091 | − | 1.96091i | −0.0658781 | − | 0.0658781i | ||||
\(887\) | −7.38381 | − | 27.5567i | −0.247924 | − | 0.925265i | −0.971891 | − | 0.235430i | \(-0.924350\pi\) |
0.723967 | − | 0.689834i | \(-0.242317\pi\) | |||||||
\(888\) | −0.264308 | − | 0.152598i | −0.00886959 | − | 0.00512086i | ||||
\(889\) | 16.0774 | + | 4.30793i | 0.539220 | + | 0.144483i | ||||
\(890\) | −0.573694 | + | 2.14105i | −0.0192303 | + | 0.0717683i | ||||
\(891\) | −11.5025 | − | 42.9277i | −0.385347 | − | 1.43813i | ||||
\(892\) | −21.1552 | − | 36.6418i | −0.708327 | − | 1.22686i | ||||
\(893\) | 39.5399 | + | 39.5399i | 1.32315 | + | 1.32315i | ||||
\(894\) | −1.42859 | − | 2.47439i | −0.0477792 | − | 0.0827559i | ||||
\(895\) | 15.8636 | − | 9.15886i | 0.530262 | − | 0.306147i | ||||
\(896\) | 0.651174 | − | 2.43022i | 0.0217542 | − | 0.0811878i | ||||
\(897\) | −5.09270 | + | 5.09270i | −0.170040 | + | 0.170040i | ||||
\(898\) | 0.774803 | − | 0.774803i | 0.0258555 | − | 0.0258555i | ||||
\(899\) | −1.03229 | − | 0.595993i | −0.0344288 | − | 0.0198775i | ||||
\(900\) | 0.0620776i | 0.00206925i | ||||||||
\(901\) | −16.3011 | + | 9.41146i | −0.543070 | + | 0.313541i | ||||
\(902\) | −0.649567 | − | 2.42422i | −0.0216282 | − | 0.0807176i | ||||
\(903\) | 9.89195i | 0.329183i | ||||||||
\(904\) | 2.59207 | − | 0.694543i | 0.0862110 | − | 0.0231002i | ||||
\(905\) | −14.0688 | − | 3.76971i | −0.467661 | − | 0.125310i | ||||
\(906\) | −1.33530 | + | 1.33530i | −0.0443623 | + | 0.0443623i | ||||
\(907\) | −35.9556 | − | 9.63428i | −1.19389 | − | 0.319901i | −0.393466 | − | 0.919339i | \(-0.628724\pi\) |
−0.800421 | + | 0.599438i | \(0.795391\pi\) | |||||||
\(908\) | −5.09776 | + | 8.82958i | −0.169175 | + | 0.293020i | ||||
\(909\) | −0.101163 | + | 0.0271066i | −0.00335537 | + | 0.000899069i | ||||
\(910\) | 0.233094 | − | 0.869917i | 0.00772698 | − | 0.0288375i | ||||
\(911\) | 18.4573 | + | 10.6563i | 0.611518 | + | 0.353060i | 0.773559 | − | 0.633724i | \(-0.218474\pi\) |
−0.162041 | + | 0.986784i | \(0.551808\pi\) | |||||||
\(912\) | 23.9058 | − | 41.4060i | 0.791599 | − | 1.37109i | ||||
\(913\) | 18.6155 | − | 32.2429i | 0.616082 | − | 1.06708i | ||||
\(914\) | −0.823360 | − | 0.475367i | −0.0272343 | − | 0.0157238i | ||||
\(915\) | −12.5851 | + | 46.9684i | −0.416052 | + | 1.55273i | ||||
\(916\) | 5.68892 | − | 1.52434i | 0.187967 | − | 0.0503657i | ||||
\(917\) | −6.19000 | + | 10.7214i | −0.204412 | + | 0.354051i | ||||
\(918\) | −1.67455 | − | 0.448694i | −0.0552684 | − | 0.0148091i | ||||
\(919\) | 18.8289 | − | 18.8289i | 0.621109 | − | 0.621109i | −0.324706 | − | 0.945815i | \(-0.605265\pi\) |
0.945815 | + | 0.324706i | \(0.105265\pi\) | |||||||
\(920\) | 0.687207 | + | 0.184137i | 0.0226566 | + | 0.00607081i | ||||
\(921\) | 22.0910 | − | 5.91926i | 0.727923 | − | 0.195046i | ||||
\(922\) | 1.70665i | 0.0562056i | ||||||||
\(923\) | 5.28551 | + | 19.7258i | 0.173975 | + | 0.649283i | ||||
\(924\) | 17.1768 | − | 9.91702i | 0.565075 | − | 0.326246i | ||||
\(925\) | − | 1.42667i | − | 0.0469087i | ||||||
\(926\) | −1.21282 | − | 0.700223i | −0.0398558 | − | 0.0230108i | ||||
\(927\) | 0.160313 | − | 0.160313i | 0.00526538 | − | 0.00526538i | ||||
\(928\) | 2.82038 | − | 2.82038i | 0.0925835 | − | 0.0925835i | ||||
\(929\) | 13.5796 | − | 50.6799i | 0.445534 | − | 1.66275i | −0.268989 | − | 0.963143i | \(-0.586690\pi\) |
0.714523 | − | 0.699612i | \(-0.246644\pi\) | |||||||
\(930\) | 0.0664750 | − | 0.0383794i | 0.00217980 | − | 0.00125851i | ||||
\(931\) | 19.5607 | + | 33.8802i | 0.641078 | + | 1.11038i | ||||
\(932\) | 34.3522 | + | 34.3522i | 1.12524 | + | 1.12524i | ||||
\(933\) | −10.8687 | − | 18.8252i | −0.355826 | − | 0.616309i | ||||
\(934\) | 0.129197 | + | 0.482171i | 0.00422746 | + | 0.0157771i | ||||
\(935\) | −16.8169 | + | 62.7617i | −0.549973 | + | 2.05253i | ||||
\(936\) | −0.0157145 | − | 0.00421068i | −0.000513643 | − | 0.000137630i | ||||
\(937\) | −12.5538 | − | 7.24792i | −0.410114 | − | 0.236779i | 0.280725 | − | 0.959788i | \(-0.409425\pi\) |
−0.690839 | + | 0.723009i | \(0.742758\pi\) | |||||||
\(938\) | −0.196790 | − | 0.734432i | −0.00642543 | − | 0.0239800i | ||||
\(939\) | 30.3769 | + | 30.3769i | 0.991311 | + | 0.991311i | ||||
\(940\) | 43.1897 | 1.40869 | ||||||||
\(941\) | 6.33171 | 0.206408 | 0.103204 | − | 0.994660i | \(-0.467091\pi\) | ||||
0.103204 | + | 0.994660i | \(0.467091\pi\) | |||||||
\(942\) | 1.87257 | + | 1.87257i | 0.0610115 | + | 0.0610115i | ||||
\(943\) | 6.36753 | − | 3.67629i | 0.207355 | − | 0.119717i | ||||
\(944\) | 26.0364 | − | 6.97643i | 0.847413 | − | 0.227064i | ||||
\(945\) | −8.10226 | + | 14.0335i | −0.263566 | + | 0.456510i | ||||
\(946\) | − | 1.63198i | − | 0.0530601i | ||||||
\(947\) | −17.0649 | − | 29.5573i | −0.554535 | − | 0.960483i | −0.997940 | − | 0.0641614i | \(-0.979563\pi\) |
0.443404 | − | 0.896322i | \(-0.353771\pi\) | |||||||
\(948\) | −33.3433 | −1.08294 | ||||||||
\(949\) | 30.1961 | − | 20.0757i | 0.980208 | − | 0.651684i | ||||
\(950\) | −1.03595 | −0.0336105 | ||||||||
\(951\) | 23.5593 | + | 40.8059i | 0.763963 | + | 1.32322i | ||||
\(952\) | − | 1.55648i | − | 0.0504458i | ||||||
\(953\) | −7.28582 | + | 12.6194i | −0.236011 | + | 0.408783i | −0.959566 | − | 0.281484i | \(-0.909173\pi\) |
0.723555 | + | 0.690267i | \(0.242507\pi\) | |||||||
\(954\) | −0.00354099 | 0.000948805i | −0.000114644 | 3.07187e-5i | ||||||
\(955\) | −32.2914 | + | 18.6434i | −1.04492 | + | 0.603287i | ||||
\(956\) | 13.4950 | + | 13.4950i | 0.436461 | + | 0.436461i | ||||
\(957\) | 41.9086 | 1.35471 | ||||||||
\(958\) | −0.0120252 | −0.000388517 | ||||||||
\(959\) | 9.33902 | + | 9.33902i | 0.301573 | + | 0.301573i | ||||
\(960\) | −9.51340 | − | 35.5045i | −0.307044 | − | 1.14590i | ||||
\(961\) | −26.7958 | − | 15.4705i | −0.864380 | − | 0.499050i | ||||
\(962\) | 0.180367 | + | 0.0483293i | 0.00581527 | + | 0.00155820i | ||||
\(963\) | −0.0205748 | + | 0.0767861i | −0.000663013 | + | 0.00247440i | ||||
\(964\) | −9.03703 | − | 33.7267i | −0.291063 | − | 1.08626i | ||||
\(965\) | 14.3266 | + | 24.8144i | 0.461190 | + | 0.798804i | ||||
\(966\) | −0.0948921 | − | 0.0948921i | −0.00305310 | − | 0.00305310i | ||||
\(967\) | 5.22036 | + | 9.04193i | 0.167876 | + | 0.290769i | 0.937673 | − | 0.347520i | \(-0.112976\pi\) |
−0.769797 | + | 0.638289i | \(0.779643\pi\) | |||||||
\(968\) | −3.09042 | + | 1.78425i | −0.0993297 | + | 0.0573480i | ||||
\(969\) | 15.3464 | − | 57.2736i | 0.492998 | − | 1.83989i | ||||
\(970\) | −1.00668 | + | 1.00668i | −0.0323227 | + | 0.0323227i | ||||
\(971\) | 10.7584 | − | 10.7584i | 0.345254 | − | 0.345254i | −0.513084 | − | 0.858338i | \(-0.671497\pi\) |
0.858338 | + | 0.513084i | \(0.171497\pi\) | |||||||
\(972\) | 0.253813 | + | 0.146539i | 0.00814105 | + | 0.00470024i | ||||
\(973\) | − | 3.38931i | − | 0.108656i | ||||||
\(974\) | −0.503836 | + | 0.290890i | −0.0161439 | + | 0.00932071i | ||||
\(975\) | −4.19772 | − | 15.6661i | −0.134435 | − | 0.501716i | ||||
\(976\) | − | 41.4599i | − | 1.32710i | ||||||
\(977\) | −43.7545 | + | 11.7240i | −1.39983 | + | 0.375084i | −0.878285 | − | 0.478138i | \(-0.841312\pi\) |
−0.521548 | + | 0.853222i | \(0.674645\pi\) | |||||||
\(978\) | 0.533949 | + | 0.143071i | 0.0170738 | + | 0.00457491i | ||||
\(979\) | 42.2874 | − | 42.2874i | 1.35151 | − | 1.35151i | ||||
\(980\) | 29.1869 | + | 7.82062i | 0.932342 | + | 0.249820i | ||||
\(981\) | 0.0640036 | − | 0.110857i | 0.00204348 | − | 0.00353941i | ||||
\(982\) | 0.964520 | − | 0.258442i | 0.0307791 | − | 0.00824722i | ||||
\(983\) | −10.0281 | + | 37.4255i | −0.319847 | + | 1.19369i | 0.599543 | + | 0.800342i | \(0.295349\pi\) |
−0.919391 | + | 0.393345i | \(0.871318\pi\) | |||||||
\(984\) | 3.06746 | + | 1.77100i | 0.0977871 | + | 0.0564574i | ||||
\(985\) | 1.11478 | − | 1.93085i | 0.0355197 | − | 0.0615219i | ||||
\(986\) | 0.821249 | − | 1.42244i | 0.0261539 | − | 0.0452999i | ||||
\(987\) | −14.1268 | − | 8.15610i | −0.449660 | − | 0.259611i | ||||
\(988\) | −15.1950 | + | 56.7085i | −0.483417 | + | 1.80414i | ||||
\(989\) | 4.61817 | − | 1.23743i | 0.146849 | − | 0.0393481i | ||||
\(990\) | −0.00632724 | + | 0.0109591i | −0.000201093 | + | 0.000348303i | ||||
\(991\) | −20.5181 | − | 5.49781i | −0.651779 | − | 0.174644i | −0.0822458 | − | 0.996612i | \(-0.526209\pi\) |
−0.569533 | + | 0.821968i | \(0.692876\pi\) | |||||||
\(992\) | −0.139372 | + | 0.139372i | −0.00442506 | + | 0.00442506i | ||||
\(993\) | −23.3704 | − | 6.26207i | −0.741636 | − | 0.198721i | ||||
\(994\) | −0.367550 | + | 0.0984847i | −0.0116580 | + | 0.00312374i | ||||
\(995\) | − | 65.1770i | − | 2.06625i | ||||||
\(996\) | 6.79187 | + | 25.3476i | 0.215209 | + | 0.803169i | ||||
\(997\) | −21.6549 | + | 12.5024i | −0.685816 | + | 0.395956i | −0.802043 | − | 0.597266i | \(-0.796254\pi\) |
0.116226 | + | 0.993223i | \(0.462920\pi\) | |||||||
\(998\) | − | 2.33081i | − | 0.0737805i | ||||||
\(999\) | −2.90969 | − | 1.67991i | −0.0920584 | − | 0.0531500i |
(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 | 73.2.h.a.49.4 | yes | 20 | |
3.2 | odd | 2 | 657.2.be.c.487.2 | 20 | |||
73.3 | even | 12 | inner | 73.2.h.a.3.4 | ✓ | 20 | |
73.21 | odd | 24 | 5329.2.a.m.1.8 | 20 | |||
73.52 | odd | 24 | 5329.2.a.m.1.7 | 20 | |||
219.149 | odd | 12 | 657.2.be.c.514.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
73.2.h.a.3.4 | ✓ | 20 | 73.3 | even | 12 | inner | |
73.2.h.a.49.4 | yes | 20 | 1.1 | even | 1 | trivial | |
657.2.be.c.487.2 | 20 | 3.2 | odd | 2 | |||
657.2.be.c.514.2 | 20 | 219.149 | odd | 12 | |||
5329.2.a.m.1.7 | 20 | 73.52 | odd | 24 | |||
5329.2.a.m.1.8 | 20 | 73.21 | odd | 24 |