Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,3,Mod(199,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.199");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.f (of order \(2\), degree \(1\), not 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: | \(8.17440793081\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 8 x^{14} - 14 x^{13} + 23 x^{12} - 26 x^{11} + 18 x^{10} - 10 x^{9} + 9 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2^{20}\cdot 5^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 199.16 | ||
Root | \(-1.32811 + 0.485936i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 300.199 |
Dual form | 300.3.f.c.199.15 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.99209 | + | 0.177680i | 0.996046 | + | 0.0888402i | ||||
\(3\) | 1.73205 | 0.577350 | ||||||||
\(4\) | 3.93686 | + | 0.707911i | 0.984215 | + | 0.176978i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 3.45040 | + | 0.307751i | 0.575067 | + | 0.0512919i | ||||
\(7\) | 1.19501 | 0.170716 | 0.0853582 | − | 0.996350i | \(-0.472797\pi\) | ||||
0.0853582 | + | 0.996350i | \(0.472797\pi\) | |||||||
\(8\) | 7.71680 | + | 2.10973i | 0.964600 | + | 0.263716i | ||||
\(9\) | 3.00000 | 0.333333 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 8.22072i | 0.747338i | 0.927562 | + | 0.373669i | \(0.121900\pi\) | ||||
−0.927562 | + | 0.373669i | \(0.878100\pi\) | |||||||
\(12\) | 6.81884 | + | 1.22614i | 0.568237 | + | 0.102178i | ||||
\(13\) | 11.1863i | 0.860488i | 0.902713 | + | 0.430244i | \(0.141572\pi\) | ||||
−0.902713 | + | 0.430244i | \(0.858428\pi\) | |||||||
\(14\) | 2.38058 | + | 0.212331i | 0.170041 | + | 0.0151665i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 14.9977 | + | 5.57389i | 0.937358 | + | 0.348368i | ||||
\(17\) | − | 20.9256i | − | 1.23092i | −0.788169 | − | 0.615459i | \(-0.788970\pi\) | ||
0.788169 | − | 0.615459i | \(-0.211030\pi\) | |||||||
\(18\) | 5.97628 | + | 0.533041i | 0.332015 | + | 0.0296134i | ||||
\(19\) | − | 27.9657i | − | 1.47188i | −0.677048 | − | 0.735939i | \(-0.736741\pi\) | ||
0.677048 | − | 0.735939i | \(-0.263259\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.06983 | 0.0985631 | ||||||||
\(22\) | −1.46066 | + | 16.3764i | −0.0663937 | + | 0.744383i | ||||
\(23\) | 9.48564 | 0.412419 | 0.206209 | − | 0.978508i | \(-0.433887\pi\) | ||||
0.206209 | + | 0.978508i | \(0.433887\pi\) | |||||||
\(24\) | 13.3659 | + | 3.65415i | 0.556912 | + | 0.152256i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.98759 | + | 22.2842i | −0.0764459 | + | 0.857085i | ||||
\(27\) | 5.19615 | 0.192450 | ||||||||
\(28\) | 4.70460 | + | 0.845964i | 0.168022 | + | 0.0302130i | ||||
\(29\) | −40.4205 | −1.39381 | −0.696905 | − | 0.717163i | \(-0.745440\pi\) | ||||
−0.696905 | + | 0.717163i | \(0.745440\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 55.3130i | 1.78429i | 0.451748 | + | 0.892145i | \(0.350800\pi\) | ||||
−0.451748 | + | 0.892145i | \(0.649200\pi\) | |||||||
\(32\) | 28.8865 | + | 13.7685i | 0.902702 | + | 0.430266i | ||||
\(33\) | 14.2387i | 0.431476i | ||||||||
\(34\) | 3.71807 | − | 41.6858i | 0.109355 | − | 1.22605i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 11.8106 | + | 2.12373i | 0.328072 | + | 0.0589926i | ||||
\(37\) | − | 50.1890i | − | 1.35646i | −0.734850 | − | 0.678230i | \(-0.762747\pi\) | ||
0.734850 | − | 0.678230i | \(-0.237253\pi\) | |||||||
\(38\) | 4.96895 | − | 55.7102i | 0.130762 | − | 1.46606i | ||||
\(39\) | 19.3753i | 0.496803i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −73.6361 | −1.79600 | −0.898001 | − | 0.439994i | \(-0.854981\pi\) | ||||
−0.898001 | + | 0.439994i | \(0.854981\pi\) | |||||||
\(42\) | 4.12328 | + | 0.367767i | 0.0981734 | + | 0.00875637i | ||||
\(43\) | 19.0843 | 0.443822 | 0.221911 | − | 0.975067i | \(-0.428771\pi\) | ||||
0.221911 | + | 0.975067i | \(0.428771\pi\) | |||||||
\(44\) | −5.81954 | + | 32.3638i | −0.132262 | + | 0.735541i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 18.8963 | + | 1.68541i | 0.410788 | + | 0.0366394i | ||||
\(47\) | 18.0598 | 0.384251 | 0.192125 | − | 0.981370i | \(-0.438462\pi\) | ||||
0.192125 | + | 0.981370i | \(0.438462\pi\) | |||||||
\(48\) | 25.9768 | + | 9.65427i | 0.541184 | + | 0.201131i | ||||
\(49\) | −47.5719 | −0.970856 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 36.2442i | − | 0.710671i | ||||||
\(52\) | −7.91894 | + | 44.0391i | −0.152287 | + | 0.846905i | ||||
\(53\) | − | 57.2212i | − | 1.07965i | −0.841779 | − | 0.539823i | \(-0.818491\pi\) | ||
0.841779 | − | 0.539823i | \(-0.181509\pi\) | |||||||
\(54\) | 10.3512 | + | 0.923254i | 0.191689 | + | 0.0170973i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 9.22169 | + | 2.52115i | 0.164673 | + | 0.0450206i | ||||
\(57\) | − | 48.4380i | − | 0.849789i | ||||||
\(58\) | −80.5213 | − | 7.18193i | −1.38830 | − | 0.123826i | ||||
\(59\) | 60.6645i | 1.02821i | 0.857727 | + | 0.514106i | \(0.171876\pi\) | ||||
−0.857727 | + | 0.514106i | \(0.828124\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −21.3518 | −0.350030 | −0.175015 | − | 0.984566i | \(-0.555997\pi\) | ||||
−0.175015 | + | 0.984566i | \(0.555997\pi\) | |||||||
\(62\) | −9.82804 | + | 110.189i | −0.158517 | + | 1.77724i | ||||
\(63\) | 3.58504 | 0.0569054 | ||||||||
\(64\) | 55.0981 | + | 32.5607i | 0.860908 | + | 0.508761i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −2.52994 | + | 28.3648i | −0.0383324 | + | 0.429770i | ||||
\(67\) | 9.68679 | 0.144579 | 0.0722895 | − | 0.997384i | \(-0.476969\pi\) | ||||
0.0722895 | + | 0.997384i | \(0.476969\pi\) | |||||||
\(68\) | 14.8135 | − | 82.3812i | 0.217845 | − | 1.21149i | ||||
\(69\) | 16.4296 | 0.238110 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | − | 68.6944i | − | 0.967527i | −0.875199 | − | 0.483763i | \(-0.839270\pi\) | ||
0.875199 | − | 0.483763i | \(-0.160730\pi\) | |||||||
\(72\) | 23.1504 | + | 6.32918i | 0.321533 | + | 0.0879053i | ||||
\(73\) | 84.7825i | 1.16140i | 0.814116 | + | 0.580702i | \(0.197222\pi\) | ||||
−0.814116 | + | 0.580702i | \(0.802778\pi\) | |||||||
\(74\) | 8.91760 | − | 99.9811i | 0.120508 | − | 1.35110i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 19.7972 | − | 110.097i | 0.260490 | − | 1.44864i | ||||
\(77\) | 9.82388i | 0.127583i | ||||||||
\(78\) | −3.44261 | + | 38.5974i | −0.0441361 | + | 0.494839i | ||||
\(79\) | − | 23.2903i | − | 0.294814i | −0.989076 | − | 0.147407i | \(-0.952907\pi\) | ||
0.989076 | − | 0.147407i | \(-0.0470928\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 9.00000 | 0.111111 | ||||||||
\(82\) | −146.690 | − | 13.0837i | −1.78890 | − | 0.159557i | ||||
\(83\) | −93.2595 | −1.12361 | −0.561804 | − | 0.827270i | \(-0.689893\pi\) | ||||
−0.561804 | + | 0.827270i | \(0.689893\pi\) | |||||||
\(84\) | 8.14861 | + | 1.46525i | 0.0970073 | + | 0.0174435i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 38.0177 | + | 3.39091i | 0.442067 | + | 0.0394292i | ||||
\(87\) | −70.0104 | −0.804717 | ||||||||
\(88\) | −17.3435 | + | 63.4377i | −0.197085 | + | 0.720883i | ||||
\(89\) | −62.9898 | −0.707750 | −0.353875 | − | 0.935293i | \(-0.615136\pi\) | ||||
−0.353875 | + | 0.935293i | \(0.615136\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 13.3678i | 0.146899i | ||||||||
\(92\) | 37.3436 | + | 6.71499i | 0.405909 | + | 0.0729890i | ||||
\(93\) | 95.8049i | 1.03016i | ||||||||
\(94\) | 35.9767 | + | 3.20887i | 0.382731 | + | 0.0341369i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 50.0328 | + | 23.8478i | 0.521175 | + | 0.248414i | ||||
\(97\) | − | 91.3962i | − | 0.942229i | −0.882072 | − | 0.471115i | \(-0.843852\pi\) | ||
0.882072 | − | 0.471115i | \(-0.156148\pi\) | |||||||
\(98\) | −94.7677 | − | 8.45260i | −0.967017 | − | 0.0862510i | ||||
\(99\) | 24.6622i | 0.249113i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −29.9780 | −0.296811 | −0.148406 | − | 0.988927i | \(-0.547414\pi\) | ||||
−0.148406 | + | 0.988927i | \(0.547414\pi\) | |||||||
\(102\) | 6.43989 | − | 72.2019i | 0.0631362 | − | 0.707861i | ||||
\(103\) | 88.7485 | 0.861636 | 0.430818 | − | 0.902439i | \(-0.358225\pi\) | ||||
0.430818 | + | 0.902439i | \(0.358225\pi\) | |||||||
\(104\) | −23.6001 | + | 86.3228i | −0.226924 | + | 0.830027i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 10.1671 | − | 113.990i | 0.0959159 | − | 1.07538i | ||||
\(107\) | −162.922 | −1.52263 | −0.761316 | − | 0.648381i | \(-0.775447\pi\) | ||||
−0.761316 | + | 0.648381i | \(0.775447\pi\) | |||||||
\(108\) | 20.4565 | + | 3.67841i | 0.189412 | + | 0.0340594i | ||||
\(109\) | 103.352 | 0.948182 | 0.474091 | − | 0.880476i | \(-0.342777\pi\) | ||||
0.474091 | + | 0.880476i | \(0.342777\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − | 86.9299i | − | 0.783152i | ||||||
\(112\) | 17.9225 | + | 6.66088i | 0.160022 | + | 0.0594722i | ||||
\(113\) | − | 31.2691i | − | 0.276717i | −0.990382 | − | 0.138359i | \(-0.955817\pi\) | ||
0.990382 | − | 0.138359i | \(-0.0441827\pi\) | |||||||
\(114\) | 8.60647 | − | 96.4929i | 0.0754954 | − | 0.846429i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −159.130 | − | 28.6141i | −1.37181 | − | 0.246673i | ||||
\(117\) | 33.5590i | 0.286829i | ||||||||
\(118\) | −10.7789 | + | 120.849i | −0.0913465 | + | 1.02415i | ||||
\(119\) | − | 25.0064i | − | 0.210138i | ||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 53.4198 | 0.441486 | ||||||||
\(122\) | −42.5348 | − | 3.79380i | −0.348646 | − | 0.0310967i | ||||
\(123\) | −127.541 | −1.03692 | ||||||||
\(124\) | −39.1567 | + | 217.760i | −0.315780 | + | 1.75613i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 7.14174 | + | 0.636992i | 0.0566804 | + | 0.00505549i | ||||
\(127\) | 178.474 | 1.40531 | 0.702655 | − | 0.711531i | \(-0.251998\pi\) | ||||
0.702655 | + | 0.711531i | \(0.251998\pi\) | |||||||
\(128\) | 103.975 | + | 74.6537i | 0.812305 | + | 0.583232i | ||||
\(129\) | 33.0550 | 0.256240 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 153.743i | − | 1.17361i | −0.809727 | − | 0.586806i | \(-0.800385\pi\) | ||
0.809727 | − | 0.586806i | \(-0.199615\pi\) | |||||||
\(132\) | −10.0797 | + | 56.0558i | −0.0763617 | + | 0.424665i | ||||
\(133\) | − | 33.4194i | − | 0.251274i | ||||||
\(134\) | 19.2970 | + | 1.72115i | 0.144007 | + | 0.0128444i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 44.1473 | − | 161.479i | 0.324613 | − | 1.18734i | ||||
\(137\) | 52.9928i | 0.386809i | 0.981119 | + | 0.193405i | \(0.0619530\pi\) | ||||
−0.981119 | + | 0.193405i | \(0.938047\pi\) | |||||||
\(138\) | 32.7293 | + | 2.91922i | 0.237169 | + | 0.0211537i | ||||
\(139\) | 21.8420i | 0.157137i | 0.996909 | + | 0.0785684i | \(0.0250349\pi\) | ||||
−0.996909 | + | 0.0785684i | \(0.974965\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 31.2804 | 0.221847 | ||||||||
\(142\) | 12.2056 | − | 136.846i | 0.0859552 | − | 0.963701i | ||||
\(143\) | −91.9598 | −0.643076 | ||||||||
\(144\) | 44.9932 | + | 16.7217i | 0.312453 | + | 0.116123i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −15.0642 | + | 168.895i | −0.103179 | + | 1.15681i | ||||
\(147\) | −82.3970 | −0.560524 | ||||||||
\(148\) | 35.5294 | − | 197.587i | 0.240063 | − | 1.33505i | ||||
\(149\) | 3.12940 | 0.0210027 | 0.0105013 | − | 0.999945i | \(-0.496657\pi\) | ||||
0.0105013 | + | 0.999945i | \(0.496657\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 296.461i | 1.96332i | 0.190646 | + | 0.981659i | \(0.438942\pi\) | ||||
−0.190646 | + | 0.981659i | \(0.561058\pi\) | |||||||
\(152\) | 58.9999 | − | 215.806i | 0.388157 | − | 1.41977i | ||||
\(153\) | − | 62.7769i | − | 0.410306i | ||||||
\(154\) | −1.74551 | + | 19.5701i | −0.0113345 | + | 0.127078i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −13.7160 | + | 76.2779i | −0.0879231 | + | 0.488961i | ||||
\(157\) | 265.686i | 1.69227i | 0.532972 | + | 0.846133i | \(0.321075\pi\) | ||||
−0.532972 | + | 0.846133i | \(0.678925\pi\) | |||||||
\(158\) | 4.13824 | − | 46.3965i | 0.0261914 | − | 0.293649i | ||||
\(159\) | − | 99.1101i | − | 0.623334i | ||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 11.3355 | 0.0704067 | ||||||||
\(162\) | 17.9288 | + | 1.59912i | 0.110672 | + | 0.00987113i | ||||
\(163\) | 205.531 | 1.26093 | 0.630465 | − | 0.776218i | \(-0.282864\pi\) | ||||
0.630465 | + | 0.776218i | \(0.282864\pi\) | |||||||
\(164\) | −289.895 | − | 52.1278i | −1.76765 | − | 0.317852i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −185.781 | − | 16.5704i | −1.11917 | − | 0.0998215i | ||||
\(167\) | 11.6359 | 0.0696763 | 0.0348381 | − | 0.999393i | \(-0.488908\pi\) | ||||
0.0348381 | + | 0.999393i | \(0.488908\pi\) | |||||||
\(168\) | 15.9724 | + | 4.36677i | 0.0950740 | + | 0.0259927i | ||||
\(169\) | 43.8657 | 0.259560 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − | 83.8970i | − | 0.490626i | ||||||
\(172\) | 75.1323 | + | 13.5100i | 0.436816 | + | 0.0785466i | ||||
\(173\) | − | 106.062i | − | 0.613077i | −0.951858 | − | 0.306538i | \(-0.900829\pi\) | ||
0.951858 | − | 0.306538i | \(-0.0991708\pi\) | |||||||
\(174\) | −139.467 | − | 12.4395i | −0.801535 | − | 0.0714912i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −45.8214 | + | 123.292i | −0.260349 | + | 0.700523i | ||||
\(177\) | 105.074i | 0.593639i | ||||||||
\(178\) | −125.481 | − | 11.1920i | −0.704951 | − | 0.0628766i | ||||
\(179\) | − | 43.3304i | − | 0.242069i | −0.992648 | − | 0.121035i | \(-0.961379\pi\) | ||
0.992648 | − | 0.121035i | \(-0.0386212\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 203.614 | 1.12494 | 0.562469 | − | 0.826819i | \(-0.309852\pi\) | ||||
0.562469 | + | 0.826819i | \(0.309852\pi\) | |||||||
\(182\) | −2.37520 | + | 26.6300i | −0.0130506 | + | 0.146319i | ||||
\(183\) | −36.9824 | −0.202090 | ||||||||
\(184\) | 73.1988 | + | 20.0121i | 0.397819 | + | 0.108761i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −17.0227 | + | 190.852i | −0.0915197 | + | 1.02609i | ||||
\(187\) | 172.024 | 0.919913 | ||||||||
\(188\) | 71.0988 | + | 12.7847i | 0.378185 | + | 0.0680038i | ||||
\(189\) | 6.20948 | 0.0328544 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 251.536i | 1.31694i | 0.752606 | + | 0.658471i | \(0.228796\pi\) | ||||
−0.752606 | + | 0.658471i | \(0.771204\pi\) | |||||||
\(192\) | 95.4327 | + | 56.3968i | 0.497045 | + | 0.293733i | ||||
\(193\) | − | 281.811i | − | 1.46016i | −0.683360 | − | 0.730081i | \(-0.739482\pi\) | ||
0.683360 | − | 0.730081i | \(-0.260518\pi\) | |||||||
\(194\) | 16.2393 | − | 182.070i | 0.0837078 | − | 0.938503i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −187.284 | − | 33.6767i | −0.955531 | − | 0.171820i | ||||
\(197\) | 243.485i | 1.23596i | 0.786193 | + | 0.617982i | \(0.212049\pi\) | ||||
−0.786193 | + | 0.617982i | \(0.787951\pi\) | |||||||
\(198\) | −4.38198 | + | 49.1293i | −0.0221312 | + | 0.248128i | ||||
\(199\) | − | 121.958i | − | 0.612853i | −0.951894 | − | 0.306427i | \(-0.900867\pi\) | ||
0.951894 | − | 0.306427i | \(-0.0991335\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 16.7780 | 0.0834727 | ||||||||
\(202\) | −59.7188 | − | 5.32649i | −0.295638 | − | 0.0263688i | ||||
\(203\) | −48.3031 | −0.237946 | ||||||||
\(204\) | 25.6577 | − | 142.688i | 0.125773 | − | 0.699453i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 176.795 | + | 15.7689i | 0.858229 | + | 0.0765479i | ||||
\(207\) | 28.4569 | 0.137473 | ||||||||
\(208\) | −62.3515 | + | 167.770i | −0.299767 | + | 0.806585i | ||||
\(209\) | 229.898 | 1.09999 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 132.543i | 0.628168i | 0.949395 | + | 0.314084i | \(0.101697\pi\) | ||||
−0.949395 | + | 0.314084i | \(0.898303\pi\) | |||||||
\(212\) | 40.5076 | − | 225.272i | 0.191073 | − | 1.06260i | ||||
\(213\) | − | 118.982i | − | 0.558602i | ||||||
\(214\) | −324.555 | − | 28.9480i | −1.51661 | − | 0.135271i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 40.0977 | + | 10.9625i | 0.185637 | + | 0.0507521i | ||||
\(217\) | 66.0998i | 0.304608i | ||||||||
\(218\) | 205.886 | + | 18.3636i | 0.944433 | + | 0.0842366i | ||||
\(219\) | 146.848i | 0.670537i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 234.081 | 1.05919 | ||||||||
\(222\) | 15.4457 | − | 173.172i | 0.0695754 | − | 0.780056i | ||||
\(223\) | 225.442 | 1.01095 | 0.505475 | − | 0.862841i | \(-0.331317\pi\) | ||||
0.505475 | + | 0.862841i | \(0.331317\pi\) | |||||||
\(224\) | 34.5198 | + | 16.4536i | 0.154106 | + | 0.0734534i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 5.55590 | − | 62.2908i | 0.0245836 | − | 0.275623i | ||||
\(227\) | 108.080 | 0.476124 | 0.238062 | − | 0.971250i | \(-0.423488\pi\) | ||||
0.238062 | + | 0.971250i | \(0.423488\pi\) | |||||||
\(228\) | 34.2898 | − | 190.693i | 0.150394 | − | 0.836375i | ||||
\(229\) | 57.3495 | 0.250435 | 0.125217 | − | 0.992129i | \(-0.460037\pi\) | ||||
0.125217 | + | 0.992129i | \(0.460037\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 17.0155i | 0.0736600i | ||||||||
\(232\) | −311.917 | − | 85.2762i | −1.34447 | − | 0.367570i | ||||
\(233\) | 285.320i | 1.22455i | 0.790646 | + | 0.612274i | \(0.209745\pi\) | ||||
−0.790646 | + | 0.612274i | \(0.790255\pi\) | |||||||
\(234\) | −5.96278 | + | 66.8527i | −0.0254820 | + | 0.285695i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −42.9451 | + | 238.828i | −0.181971 | + | 1.01198i | ||||
\(237\) | − | 40.3400i | − | 0.170211i | ||||||
\(238\) | 4.44315 | − | 49.8151i | 0.0186687 | − | 0.209307i | ||||
\(239\) | 77.2471i | 0.323210i | 0.986856 | + | 0.161605i | \(0.0516670\pi\) | ||||
−0.986856 | + | 0.161605i | \(0.948333\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −130.557 | −0.541732 | −0.270866 | − | 0.962617i | \(-0.587310\pi\) | ||||
−0.270866 | + | 0.962617i | \(0.587310\pi\) | |||||||
\(242\) | 106.417 | + | 9.49164i | 0.439740 | + | 0.0392217i | ||||
\(243\) | 15.5885 | 0.0641500 | ||||||||
\(244\) | −84.0591 | − | 15.1152i | −0.344504 | − | 0.0619475i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −254.074 | − | 22.6616i | −1.03282 | − | 0.0921203i | ||||
\(247\) | 312.834 | 1.26653 | ||||||||
\(248\) | −116.695 | + | 426.840i | −0.470546 | + | 1.72113i | ||||
\(249\) | −161.530 | −0.648715 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 437.197i | − | 1.74182i | −0.491441 | − | 0.870911i | \(-0.663530\pi\) | ||
0.491441 | − | 0.870911i | \(-0.336470\pi\) | |||||||
\(252\) | 14.1138 | + | 2.53789i | 0.0560072 | + | 0.0100710i | ||||
\(253\) | 77.9788i | 0.308216i | ||||||||
\(254\) | 355.537 | + | 31.7114i | 1.39975 | + | 0.124848i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 193.863 | + | 167.191i | 0.757279 | + | 0.653091i | ||||
\(257\) | − | 74.3682i | − | 0.289370i | −0.989478 | − | 0.144685i | \(-0.953783\pi\) | ||
0.989478 | − | 0.144685i | \(-0.0462169\pi\) | |||||||
\(258\) | 65.8486 | + | 5.87323i | 0.255227 | + | 0.0227644i | ||||
\(259\) | − | 59.9766i | − | 0.231570i | ||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −121.261 | −0.464603 | ||||||||
\(262\) | 27.3172 | − | 306.271i | 0.104264 | − | 1.16897i | ||||
\(263\) | 458.790 | 1.74445 | 0.872225 | − | 0.489105i | \(-0.162676\pi\) | ||||
0.872225 | + | 0.489105i | \(0.162676\pi\) | |||||||
\(264\) | −30.0398 | + | 109.877i | −0.113787 | + | 0.416202i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 5.93797 | − | 66.5745i | 0.0223232 | − | 0.250280i | ||||
\(267\) | −109.101 | −0.408620 | ||||||||
\(268\) | 38.1355 | + | 6.85739i | 0.142297 | + | 0.0255873i | ||||
\(269\) | 320.405 | 1.19110 | 0.595549 | − | 0.803319i | \(-0.296935\pi\) | ||||
0.595549 | + | 0.803319i | \(0.296935\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 359.059i | 1.32494i | 0.749088 | + | 0.662470i | \(0.230492\pi\) | ||||
−0.749088 | + | 0.662470i | \(0.769508\pi\) | |||||||
\(272\) | 116.637 | − | 313.837i | 0.428813 | − | 1.15381i | ||||
\(273\) | 23.1538i | 0.0848124i | ||||||||
\(274\) | −9.41579 | + | 105.567i | −0.0343642 | + | 0.385280i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 64.6810 | + | 11.6307i | 0.234352 | + | 0.0421402i | ||||
\(277\) | − | 138.027i | − | 0.498293i | −0.968466 | − | 0.249147i | \(-0.919850\pi\) | ||
0.968466 | − | 0.249147i | \(-0.0801501\pi\) | |||||||
\(278\) | −3.88090 | + | 43.5113i | −0.0139601 | + | 0.156516i | ||||
\(279\) | 165.939i | 0.594764i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 462.504 | 1.64592 | 0.822960 | − | 0.568099i | \(-0.192321\pi\) | ||||
0.822960 | + | 0.568099i | \(0.192321\pi\) | |||||||
\(282\) | 62.3135 | + | 5.55792i | 0.220970 | + | 0.0197089i | ||||
\(283\) | −323.973 | −1.14478 | −0.572391 | − | 0.819981i | \(-0.693984\pi\) | ||||
−0.572391 | + | 0.819981i | \(0.693984\pi\) | |||||||
\(284\) | 48.6295 | − | 270.440i | 0.171231 | − | 0.952254i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −183.192 | − | 16.3394i | −0.640533 | − | 0.0571309i | ||||
\(287\) | −87.9962 | −0.306607 | ||||||||
\(288\) | 86.6594 | + | 41.3055i | 0.300901 | + | 0.143422i | ||||
\(289\) | −148.882 | −0.515161 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | − | 158.303i | − | 0.543996i | ||||||
\(292\) | −60.0185 | + | 333.777i | −0.205543 | + | 1.14307i | ||||
\(293\) | 150.416i | 0.513365i | 0.966496 | + | 0.256683i | \(0.0826295\pi\) | ||||
−0.966496 | + | 0.256683i | \(0.917371\pi\) | |||||||
\(294\) | −164.142 | − | 14.6403i | −0.558308 | − | 0.0497970i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 105.885 | − | 387.299i | 0.357720 | − | 1.30844i | ||||
\(297\) | 42.7161i | 0.143825i | ||||||||
\(298\) | 6.23406 | + | 0.556033i | 0.0209196 | + | 0.00186588i | ||||
\(299\) | 106.110i | 0.354882i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 22.8060 | 0.0757676 | ||||||||
\(302\) | −52.6753 | + | 590.577i | −0.174421 | + | 1.95555i | ||||
\(303\) | −51.9233 | −0.171364 | ||||||||
\(304\) | 155.878 | − | 419.421i | 0.512755 | − | 1.37968i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 11.1542 | − | 125.057i | 0.0364517 | − | 0.408684i | ||||
\(307\) | −563.915 | −1.83686 | −0.918428 | − | 0.395587i | \(-0.870541\pi\) | ||||
−0.918428 | + | 0.395587i | \(0.870541\pi\) | |||||||
\(308\) | −6.95443 | + | 38.6752i | −0.0225793 | + | 0.125569i | ||||
\(309\) | 153.717 | 0.497466 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 40.0214i | − | 0.128686i | −0.997928 | − | 0.0643431i | \(-0.979505\pi\) | ||
0.997928 | − | 0.0643431i | \(-0.0204952\pi\) | |||||||
\(312\) | −40.8766 | + | 149.515i | −0.131015 | + | 0.479216i | ||||
\(313\) | 1.82657i | 0.00583568i | 0.999996 | + | 0.00291784i | \(0.000928778\pi\) | ||||
−0.999996 | + | 0.00291784i | \(0.999071\pi\) | |||||||
\(314\) | −47.2071 | + | 529.270i | −0.150341 | + | 1.68557i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 16.4875 | − | 91.6908i | 0.0521756 | − | 0.290161i | ||||
\(317\) | − | 246.416i | − | 0.777338i | −0.921378 | − | 0.388669i | \(-0.872935\pi\) | ||
0.921378 | − | 0.388669i | \(-0.127065\pi\) | |||||||
\(318\) | 17.6099 | − | 197.436i | 0.0553771 | − | 0.620869i | ||||
\(319\) | − | 332.286i | − | 1.04165i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −282.189 | −0.879092 | ||||||||
\(322\) | 22.5813 | + | 2.01409i | 0.0701283 | + | 0.00625494i | ||||
\(323\) | −585.199 | −1.81176 | ||||||||
\(324\) | 35.4317 | + | 6.37120i | 0.109357 | + | 0.0196642i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 409.438 | + | 36.5189i | 1.25594 | + | 0.112021i | ||||
\(327\) | 179.011 | 0.547433 | ||||||||
\(328\) | −568.235 | − | 155.352i | −1.73242 | − | 0.473634i | ||||
\(329\) | 21.5817 | 0.0655978 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | − | 417.672i | − | 1.26185i | −0.775844 | − | 0.630925i | \(-0.782675\pi\) | ||
0.775844 | − | 0.630925i | \(-0.217325\pi\) | |||||||
\(332\) | −367.149 | − | 66.0194i | −1.10587 | − | 0.198854i | ||||
\(333\) | − | 150.567i | − | 0.452153i | ||||||
\(334\) | 23.1798 | + | 2.06748i | 0.0694007 | + | 0.00619005i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 31.0427 | + | 11.5370i | 0.0923889 | + | 0.0343363i | ||||
\(337\) | 317.379i | 0.941779i | 0.882192 | + | 0.470889i | \(0.156067\pi\) | ||||
−0.882192 | + | 0.470889i | \(0.843933\pi\) | |||||||
\(338\) | 87.3845 | + | 7.79408i | 0.258534 | + | 0.0230594i | ||||
\(339\) | − | 54.1596i | − | 0.159763i | ||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −454.713 | −1.33347 | ||||||||
\(342\) | 14.9068 | − | 167.131i | 0.0435873 | − | 0.488686i | ||||
\(343\) | −115.405 | −0.336457 | ||||||||
\(344\) | 147.270 | + | 40.2627i | 0.428110 | + | 0.117043i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.8452 | − | 211.286i | 0.0544659 | − | 0.610653i | ||||
\(347\) | −222.581 | −0.641443 | −0.320721 | − | 0.947174i | \(-0.603925\pi\) | ||||
−0.320721 | + | 0.947174i | \(0.603925\pi\) | |||||||
\(348\) | −275.621 | − | 49.5611i | −0.792014 | − | 0.142417i | ||||
\(349\) | −560.812 | −1.60691 | −0.803455 | − | 0.595366i | \(-0.797007\pi\) | ||||
−0.803455 | + | 0.595366i | \(0.797007\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 58.1259i | 0.165601i | ||||||||
\(352\) | −113.187 | + | 237.468i | −0.321554 | + | 0.674624i | ||||
\(353\) | 304.856i | 0.863616i | 0.901966 | + | 0.431808i | \(0.142124\pi\) | ||||
−0.901966 | + | 0.431808i | \(0.857876\pi\) | |||||||
\(354\) | −18.6696 | + | 209.317i | −0.0527390 | + | 0.591291i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −247.982 | − | 44.5911i | −0.696578 | − | 0.125256i | ||||
\(357\) | − | 43.3124i | − | 0.121323i | ||||||
\(358\) | 7.69896 | − | 86.3181i | 0.0215055 | − | 0.241112i | ||||
\(359\) | − | 105.860i | − | 0.294874i | −0.989071 | − | 0.147437i | \(-0.952898\pi\) | ||
0.989071 | − | 0.147437i | \(-0.0471023\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −421.079 | −1.16642 | ||||||||
\(362\) | 405.617 | + | 36.1782i | 1.12049 | + | 0.0999396i | ||||
\(363\) | 92.5257 | 0.254892 | ||||||||
\(364\) | −9.46324 | + | 52.6273i | −0.0259979 | + | 0.144581i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −73.6724 | − | 6.57105i | −0.201291 | − | 0.0179537i | ||||
\(367\) | −360.200 | −0.981470 | −0.490735 | − | 0.871309i | \(-0.663272\pi\) | ||||
−0.490735 | + | 0.871309i | \(0.663272\pi\) | |||||||
\(368\) | 142.263 | + | 52.8719i | 0.386584 | + | 0.143674i | ||||
\(369\) | −220.908 | −0.598667 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | − | 68.3802i | − | 0.184313i | ||||||
\(372\) | −67.8214 | + | 377.171i | −0.182316 | + | 1.01390i | ||||
\(373\) | − | 135.489i | − | 0.363242i | −0.983369 | − | 0.181621i | \(-0.941866\pi\) | ||
0.983369 | − | 0.181621i | \(-0.0581344\pi\) | |||||||
\(374\) | 342.687 | + | 30.5652i | 0.916275 | + | 0.0817252i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 139.364 | + | 38.1012i | 0.370648 | + | 0.101333i | ||||
\(377\) | − | 452.158i | − | 1.19936i | ||||||
\(378\) | 12.3698 | + | 1.10330i | 0.0327245 | + | 0.00291879i | ||||
\(379\) | 310.686i | 0.819753i | 0.912141 | + | 0.409876i | \(0.134428\pi\) | ||||
−0.912141 | + | 0.409876i | \(0.865572\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 309.126 | 0.811356 | ||||||||
\(382\) | −44.6930 | + | 501.083i | −0.116997 | + | 1.31173i | ||||
\(383\) | 121.981 | 0.318487 | 0.159244 | − | 0.987239i | \(-0.449094\pi\) | ||||
0.159244 | + | 0.987239i | \(0.449094\pi\) | |||||||
\(384\) | 180.090 | + | 129.304i | 0.468985 | + | 0.336729i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 50.0723 | − | 561.394i | 0.129721 | − | 1.45439i | ||||
\(387\) | 57.2530 | 0.147941 | ||||||||
\(388\) | 64.7004 | − | 359.814i | 0.166754 | − | 0.927356i | ||||
\(389\) | −544.266 | −1.39914 | −0.699570 | − | 0.714564i | \(-0.746625\pi\) | ||||
−0.699570 | + | 0.714564i | \(0.746625\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 198.493i | − | 0.507654i | ||||||
\(392\) | −367.103 | − | 100.364i | −0.936488 | − | 0.256030i | ||||
\(393\) | − | 266.291i | − | 0.677586i | ||||||
\(394\) | −43.2625 | + | 485.044i | −0.109803 | + | 1.23108i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −17.4586 | + | 97.0915i | −0.0440874 | + | 0.245180i | ||||
\(397\) | − | 504.528i | − | 1.27085i | −0.772162 | − | 0.635425i | \(-0.780825\pi\) | ||
0.772162 | − | 0.635425i | \(-0.219175\pi\) | |||||||
\(398\) | 21.6695 | − | 242.951i | 0.0544460 | − | 0.610430i | ||||
\(399\) | − | 57.8841i | − | 0.145073i | ||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −278.018 | −0.693312 | −0.346656 | − | 0.937992i | \(-0.612683\pi\) | ||||
−0.346656 | + | 0.937992i | \(0.612683\pi\) | |||||||
\(402\) | 33.4233 | + | 2.98112i | 0.0831426 | + | 0.00741573i | ||||
\(403\) | −618.750 | −1.53536 | ||||||||
\(404\) | −118.019 | − | 21.2217i | −0.292126 | − | 0.0525290i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −96.2242 | − | 8.58251i | −0.237005 | − | 0.0211392i | ||||
\(407\) | 412.590 | 1.01373 | ||||||||
\(408\) | 76.4654 | − | 279.690i | 0.187415 | − | 0.685514i | ||||
\(409\) | 296.549 | 0.725059 | 0.362530 | − | 0.931972i | \(-0.381913\pi\) | ||||
0.362530 | + | 0.931972i | \(0.381913\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 91.7863i | 0.223324i | ||||||||
\(412\) | 349.390 | + | 62.8261i | 0.848035 | + | 0.152490i | ||||
\(413\) | 72.4950i | 0.175533i | ||||||||
\(414\) | 56.6888 | + | 5.05623i | 0.136929 | + | 0.0122131i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −154.019 | + | 323.134i | −0.370239 | + | 0.776764i | ||||
\(417\) | 37.8315i | 0.0907230i | ||||||||
\(418\) | 457.978 | + | 40.8483i | 1.09564 | + | 0.0977233i | ||||
\(419\) | 315.615i | 0.753258i | 0.926364 | + | 0.376629i | \(0.122917\pi\) | ||||
−0.926364 | + | 0.376629i | \(0.877083\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −360.355 | −0.855951 | −0.427975 | − | 0.903790i | \(-0.640773\pi\) | ||||
−0.427975 | + | 0.903790i | \(0.640773\pi\) | |||||||
\(422\) | −23.5504 | + | 264.039i | −0.0558066 | + | 0.625684i | ||||
\(423\) | 54.1793 | 0.128084 | ||||||||
\(424\) | 120.721 | − | 441.565i | 0.284720 | − | 1.04143i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 21.1408 | − | 237.023i | 0.0496263 | − | 0.556393i | ||||
\(427\) | −25.5157 | −0.0597558 | ||||||||
\(428\) | −641.400 | − | 115.334i | −1.49860 | − | 0.269472i | ||||
\(429\) | −159.279 | −0.371280 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 523.617i | 1.21489i | 0.794362 | + | 0.607445i | \(0.207805\pi\) | ||||
−0.794362 | + | 0.607445i | \(0.792195\pi\) | |||||||
\(432\) | 77.9305 | + | 28.9628i | 0.180395 | + | 0.0670435i | ||||
\(433\) | − | 21.5381i | − | 0.0497415i | −0.999691 | − | 0.0248707i | \(-0.992083\pi\) | ||
0.999691 | − | 0.0248707i | \(-0.00791742\pi\) | |||||||
\(434\) | −11.7446 | + | 131.677i | −0.0270614 | + | 0.303403i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 406.882 | + | 73.1639i | 0.933215 | + | 0.167807i | ||||
\(437\) | − | 265.272i | − | 0.607030i | ||||||
\(438\) | −26.0919 | + | 292.534i | −0.0595706 | + | 0.667886i | ||||
\(439\) | 247.777i | 0.564412i | 0.959354 | + | 0.282206i | \(0.0910662\pi\) | ||||
−0.959354 | + | 0.282206i | \(0.908934\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −142.716 | −0.323619 | ||||||||
\(442\) | 466.311 | + | 41.5916i | 1.05500 | + | 0.0940987i | ||||
\(443\) | 584.775 | 1.32003 | 0.660017 | − | 0.751251i | \(-0.270549\pi\) | ||||
0.660017 | + | 0.751251i | \(0.270549\pi\) | |||||||
\(444\) | 61.5386 | − | 342.231i | 0.138601 | − | 0.770790i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 449.101 | + | 40.0566i | 1.00695 | + | 0.0898130i | ||||
\(447\) | 5.42028 | 0.0121259 | ||||||||
\(448\) | 65.8430 | + | 38.9105i | 0.146971 | + | 0.0868538i | ||||
\(449\) | −152.093 | −0.338738 | −0.169369 | − | 0.985553i | \(-0.554173\pi\) | ||||
−0.169369 | + | 0.985553i | \(0.554173\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 605.342i | − | 1.34222i | ||||||
\(452\) | 22.1357 | − | 123.102i | 0.0489728 | − | 0.272349i | ||||
\(453\) | 513.485i | 1.13352i | ||||||||
\(454\) | 215.306 | + | 19.2037i | 0.474242 | + | 0.0422990i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 102.191 | − | 373.786i | 0.224103 | − | 0.819707i | ||||
\(457\) | − | 602.441i | − | 1.31825i | −0.752033 | − | 0.659126i | \(-0.770926\pi\) | ||
0.752033 | − | 0.659126i | \(-0.229074\pi\) | |||||||
\(458\) | 114.246 | + | 10.1899i | 0.249444 | + | 0.0222487i | ||||
\(459\) | − | 108.733i | − | 0.236890i | ||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −504.912 | −1.09525 | −0.547626 | − | 0.836723i | \(-0.684468\pi\) | ||||
−0.547626 | + | 0.836723i | \(0.684468\pi\) | |||||||
\(462\) | −3.02331 | + | 33.8964i | −0.00654397 | + | 0.0733687i | ||||
\(463\) | 504.560 | 1.08976 | 0.544881 | − | 0.838513i | \(-0.316575\pi\) | ||||
0.544881 | + | 0.838513i | \(0.316575\pi\) | |||||||
\(464\) | −606.215 | − | 225.300i | −1.30650 | − | 0.485559i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −50.6957 | + | 568.383i | −0.108789 | + | 1.21971i | ||||
\(467\) | −751.418 | −1.60903 | −0.804516 | − | 0.593931i | \(-0.797575\pi\) | ||||
−0.804516 | + | 0.593931i | \(0.797575\pi\) | |||||||
\(468\) | −23.7568 | + | 132.117i | −0.0507624 | + | 0.282302i | ||||
\(469\) | 11.5759 | 0.0246820 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 460.181i | 0.977030i | ||||||||
\(472\) | −127.986 | + | 468.136i | −0.271156 | + | 0.991814i | ||||
\(473\) | 156.887i | 0.331685i | ||||||||
\(474\) | 7.16763 | − | 80.3611i | 0.0151216 | − | 0.169538i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 17.7023 | − | 98.4468i | 0.0371898 | − | 0.206821i | ||||
\(477\) | − | 171.664i | − | 0.359882i | ||||||
\(478\) | −13.7253 | + | 153.883i | −0.0287140 | + | 0.321932i | ||||
\(479\) | − | 581.401i | − | 1.21378i | −0.794786 | − | 0.606890i | \(-0.792417\pi\) | ||
0.794786 | − | 0.606890i | \(-0.207583\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 561.431 | 1.16722 | ||||||||
\(482\) | −260.082 | − | 23.1975i | −0.539590 | − | 0.0481276i | ||||
\(483\) | 19.6336 | 0.0406493 | ||||||||
\(484\) | 210.306 | + | 37.8164i | 0.434517 | + | 0.0781331i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 31.0536 | + | 2.76976i | 0.0638964 | + | 0.00569910i | ||||
\(487\) | 557.489 | 1.14474 | 0.572371 | − | 0.819995i | \(-0.306024\pi\) | ||||
0.572371 | + | 0.819995i | \(0.306024\pi\) | |||||||
\(488\) | −164.768 | − | 45.0465i | −0.337639 | − | 0.0923084i | ||||
\(489\) | 355.991 | 0.727998 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 26.2032i | − | 0.0533670i | −0.999644 | − | 0.0266835i | \(-0.991505\pi\) | ||
0.999644 | − | 0.0266835i | \(-0.00849463\pi\) | |||||||
\(492\) | −502.113 | − | 90.2880i | −1.02055 | − | 0.183512i | ||||
\(493\) | 845.824i | 1.71567i | ||||||||
\(494\) | 623.193 | + | 55.5844i | 1.26152 | + | 0.112519i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −308.309 | + | 829.569i | −0.621590 | + | 1.67252i | ||||
\(497\) | − | 82.0908i | − | 0.165173i | ||||||
\(498\) | −321.783 | − | 28.7007i | −0.646150 | − | 0.0576320i | ||||
\(499\) | 444.615i | 0.891011i | 0.895279 | + | 0.445506i | \(0.146976\pi\) | ||||
−0.895279 | + | 0.445506i | \(0.853024\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 20.1540 | 0.0402276 | ||||||||
\(502\) | 77.6814 | − | 870.937i | 0.154744 | − | 1.73493i | ||||
\(503\) | −216.819 | −0.431052 | −0.215526 | − | 0.976498i | \(-0.569147\pi\) | ||||
−0.215526 | + | 0.976498i | \(0.569147\pi\) | |||||||
\(504\) | 27.6651 | + | 7.56346i | 0.0548910 | + | 0.0150069i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −13.8553 | + | 155.341i | −0.0273820 | + | 0.306998i | ||||
\(507\) | 75.9777 | 0.149857 | ||||||||
\(508\) | 702.628 | + | 126.344i | 1.38313 | + | 0.248708i | ||||
\(509\) | −202.830 | −0.398488 | −0.199244 | − | 0.979950i | \(-0.563849\pi\) | ||||
−0.199244 | + | 0.979950i | \(0.563849\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 101.316i | 0.198271i | ||||||||
\(512\) | 356.487 | + | 367.506i | 0.696264 | + | 0.717786i | ||||
\(513\) | − | 145.314i | − | 0.283263i | ||||||
\(514\) | 13.2138 | − | 148.148i | 0.0257077 | − | 0.288226i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 130.133 | + | 23.4000i | 0.252196 | + | 0.0453489i | ||||
\(517\) | 148.464i | 0.287165i | ||||||||
\(518\) | 10.6567 | − | 119.479i | 0.0205727 | − | 0.230654i | ||||
\(519\) | − | 183.705i | − | 0.353960i | ||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 769.410 | 1.47679 | 0.738397 | − | 0.674366i | \(-0.235583\pi\) | ||||
0.738397 | + | 0.674366i | \(0.235583\pi\) | |||||||
\(522\) | −241.564 | − | 21.5458i | −0.462766 | − | 0.0412754i | ||||
\(523\) | −38.9898 | −0.0745502 | −0.0372751 | − | 0.999305i | \(-0.511868\pi\) | ||||
−0.0372751 | + | 0.999305i | \(0.511868\pi\) | |||||||
\(524\) | 108.837 | − | 605.266i | 0.207703 | − | 1.15509i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 913.953 | + | 81.5180i | 1.73755 | + | 0.154977i | ||||
\(527\) | 1157.46 | 2.19632 | ||||||||
\(528\) | −79.3650 | + | 213.548i | −0.150313 | + | 0.404447i | ||||
\(529\) | −439.023 | −0.829911 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 181.994i | 0.342737i | ||||||||
\(532\) | 23.6579 | − | 131.567i | 0.0444698 | − | 0.247307i | ||||
\(533\) | − | 823.718i | − | 1.54544i | ||||||
\(534\) | −217.340 | − | 19.3852i | −0.407004 | − | 0.0363018i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 74.7510 | + | 20.4365i | 0.139461 | + | 0.0381277i | ||||
\(537\) | − | 75.0504i | − | 0.139759i | ||||||
\(538\) | 638.277 | + | 56.9297i | 1.18639 | + | 0.105817i | ||||
\(539\) | − | 391.076i | − | 0.725558i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −32.0904 | −0.0593168 | −0.0296584 | − | 0.999560i | \(-0.509442\pi\) | ||||
−0.0296584 | + | 0.999560i | \(0.509442\pi\) | |||||||
\(542\) | −63.7977 | + | 715.278i | −0.117708 | + | 1.31970i | ||||
\(543\) | 352.669 | 0.649483 | ||||||||
\(544\) | 288.115 | − | 604.467i | 0.529622 | − | 1.11115i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −4.11397 | + | 46.1245i | −0.00753475 | + | 0.0844770i | ||||
\(547\) | −254.839 | −0.465885 | −0.232942 | − | 0.972491i | \(-0.574835\pi\) | ||||
−0.232942 | + | 0.972491i | \(0.574835\pi\) | |||||||
\(548\) | −37.5142 | + | 208.625i | −0.0684566 | + | 0.380703i | ||||
\(549\) | −64.0554 | −0.116677 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1130.39i | 2.05152i | ||||||||
\(552\) | 126.784 | + | 34.6620i | 0.229681 | + | 0.0627934i | ||||
\(553\) | − | 27.8323i | − | 0.0503296i | ||||||
\(554\) | 24.5247 | − | 274.963i | 0.0442685 | − | 0.496323i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −15.4622 | + | 85.9890i | −0.0278097 | + | 0.154656i | ||||
\(557\) | 577.439i | 1.03670i | 0.855170 | + | 0.518348i | \(0.173453\pi\) | ||||
−0.855170 | + | 0.518348i | \(0.826547\pi\) | |||||||
\(558\) | −29.4841 | + | 330.566i | −0.0528389 | + | 0.592412i | ||||
\(559\) | 213.484i | 0.381903i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 297.954 | 0.531112 | ||||||||
\(562\) | 921.350 | + | 82.1778i | 1.63941 | + | 0.146224i | ||||
\(563\) | 367.058 | 0.651967 | 0.325984 | − | 0.945375i | \(-0.394305\pi\) | ||||
0.325984 | + | 0.945375i | \(0.394305\pi\) | |||||||
\(564\) | 123.147 | + | 22.1438i | 0.218345 | + | 0.0392620i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −645.384 | − | 57.5636i | −1.14025 | − | 0.101703i | ||||
\(567\) | 10.7551 | 0.0189685 | ||||||||
\(568\) | 144.926 | − | 530.101i | 0.255152 | − | 0.933277i | ||||
\(569\) | 522.006 | 0.917410 | 0.458705 | − | 0.888589i | \(-0.348313\pi\) | ||||
0.458705 | + | 0.888589i | \(0.348313\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 832.421i | − | 1.45783i | −0.684604 | − | 0.728915i | \(-0.740025\pi\) | ||
0.684604 | − | 0.728915i | \(-0.259975\pi\) | |||||||
\(572\) | −362.033 | − | 65.0994i | −0.632925 | − | 0.113810i | ||||
\(573\) | 435.673i | 0.760337i | ||||||||
\(574\) | −175.296 | − | 15.6352i | −0.305394 | − | 0.0272390i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 165.294 | + | 97.6821i | 0.286969 | + | 0.169587i | ||||
\(577\) | 427.659i | 0.741177i | 0.928797 | + | 0.370588i | \(0.120844\pi\) | ||||
−0.928797 | + | 0.370588i | \(0.879156\pi\) | |||||||
\(578\) | −296.586 | − | 26.4533i | −0.513124 | − | 0.0457670i | ||||
\(579\) | − | 488.112i | − | 0.843025i | ||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −111.446 | −0.191818 | ||||||||
\(582\) | 28.1273 | − | 315.354i | 0.0483287 | − | 0.541845i | ||||
\(583\) | 470.400 | 0.806861 | ||||||||
\(584\) | −178.868 | + | 654.250i | −0.306281 | + | 1.12029i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.7260 | + | 299.642i | −0.0456074 | + | 0.511335i | ||||
\(587\) | 586.262 | 0.998743 | 0.499372 | − | 0.866388i | \(-0.333564\pi\) | ||||
0.499372 | + | 0.866388i | \(0.333564\pi\) | |||||||
\(588\) | −324.385 | − | 58.3298i | −0.551676 | − | 0.0992003i | ||||
\(589\) | 1546.87 | 2.62626 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 421.728i | 0.713584i | ||||||||
\(592\) | 279.748 | − | 752.721i | 0.472548 | − | 1.27149i | ||||
\(593\) | − | 518.375i | − | 0.874156i | −0.899424 | − | 0.437078i | \(-0.856013\pi\) | ||
0.899424 | − | 0.437078i | \(-0.143987\pi\) | |||||||
\(594\) | −7.58981 | + | 85.0944i | −0.0127775 | + | 0.143257i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 12.3200 | + | 2.21534i | 0.0206712 | + | 0.00371701i | ||||
\(597\) | − | 211.237i | − | 0.353831i | ||||||
\(598\) | −18.8536 | + | 211.380i | −0.0315277 | + | 0.353478i | ||||
\(599\) | 405.480i | 0.676928i | 0.940979 | + | 0.338464i | \(0.109907\pi\) | ||||
−0.940979 | + | 0.338464i | \(0.890093\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −350.551 | −0.583279 | −0.291640 | − | 0.956528i | \(-0.594201\pi\) | ||||
−0.291640 | + | 0.956528i | \(0.594201\pi\) | |||||||
\(602\) | 45.4317 | + | 4.05219i | 0.0754680 | + | 0.00673121i | ||||
\(603\) | 29.0604 | 0.0481930 | ||||||||
\(604\) | −209.868 | + | 1167.13i | −0.347464 | + | 1.93233i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −103.436 | − | 9.22576i | −0.170687 | − | 0.0152240i | ||||
\(607\) | −737.786 | −1.21546 | −0.607731 | − | 0.794143i | \(-0.707920\pi\) | ||||
−0.607731 | + | 0.794143i | \(0.707920\pi\) | |||||||
\(608\) | 385.046 | − | 807.829i | 0.633299 | − | 1.32867i | ||||
\(609\) | −83.6634 | −0.137378 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 202.023i | 0.330643i | ||||||||
\(612\) | 44.4404 | − | 247.144i | 0.0726151 | − | 0.403830i | ||||
\(613\) | − | 345.495i | − | 0.563614i | −0.959471 | − | 0.281807i | \(-0.909066\pi\) | ||
0.959471 | − | 0.281807i | \(-0.0909338\pi\) | |||||||
\(614\) | −1123.37 | − | 100.197i | −1.82959 | − | 0.163187i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −20.7257 | + | 75.8090i | −0.0336456 | + | 0.123066i | ||||
\(617\) | 862.171i | 1.39736i | 0.715434 | + | 0.698680i | \(0.246229\pi\) | ||||
−0.715434 | + | 0.698680i | \(0.753771\pi\) | |||||||
\(618\) | 306.218 | + | 27.3125i | 0.495499 | + | 0.0441950i | ||||
\(619\) | 469.363i | 0.758260i | 0.925343 | + | 0.379130i | \(0.123777\pi\) | ||||
−0.925343 | + | 0.379130i | \(0.876223\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 49.2888 | 0.0793701 | ||||||||
\(622\) | 7.11102 | − | 79.7264i | 0.0114325 | − | 0.128177i | ||||
\(623\) | −75.2737 | −0.120824 | ||||||||
\(624\) | −107.996 | + | 290.586i | −0.173070 | + | 0.465682i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −0.324545 | + | 3.63869i | −0.000518443 | + | 0.00581260i | ||||
\(627\) | 398.195 | 0.635080 | ||||||||
\(628\) | −188.082 | + | 1045.97i | −0.299494 | + | 1.66555i | ||||
\(629\) | −1050.24 | −1.66969 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 323.243i | − | 0.512271i | −0.966641 | − | 0.256136i | \(-0.917551\pi\) | ||
0.966641 | − | 0.256136i | \(-0.0824494\pi\) | |||||||
\(632\) | 49.1362 | − | 179.727i | 0.0777472 | − | 0.284378i | ||||
\(633\) | 229.572i | 0.362673i | ||||||||
\(634\) | 43.7833 | − | 490.883i | 0.0690588 | − | 0.774264i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 70.1611 | − | 390.183i | 0.110316 | − | 0.613495i | ||||
\(637\) | − | 532.156i | − | 0.835410i | ||||||
\(638\) | 59.0406 | − | 661.943i | 0.0925402 | − | 1.03753i | ||||
\(639\) | − | 206.083i | − | 0.322509i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −44.1100 | −0.0688144 | −0.0344072 | − | 0.999408i | \(-0.510954\pi\) | ||||
−0.0344072 | + | 0.999408i | \(0.510954\pi\) | |||||||
\(642\) | −562.146 | − | 50.1394i | −0.875616 | − | 0.0780987i | ||||
\(643\) | −934.204 | −1.45288 | −0.726442 | − | 0.687228i | \(-0.758827\pi\) | ||||
−0.726442 | + | 0.687228i | \(0.758827\pi\) | |||||||
\(644\) | 44.6262 | + | 8.02451i | 0.0692953 | + | 0.0124604i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1165.77 | − | 103.978i | −1.80460 | − | 0.160957i | ||||
\(647\) | −481.023 | −0.743467 | −0.371734 | − | 0.928339i | \(-0.621237\pi\) | ||||
−0.371734 | + | 0.928339i | \(0.621237\pi\) | |||||||
\(648\) | 69.4512 | + | 18.9875i | 0.107178 | + | 0.0293018i | ||||
\(649\) | −498.706 | −0.768422 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 114.488i | 0.175865i | ||||||||
\(652\) | 809.148 | + | 145.498i | 1.24103 | + | 0.223156i | ||||
\(653\) | − | 1131.38i | − | 1.73259i | −0.499536 | − | 0.866293i | \(-0.666496\pi\) | ||
0.499536 | − | 0.866293i | \(-0.333504\pi\) | |||||||
\(654\) | 356.606 | + | 31.8067i | 0.545268 | + | 0.0486340i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −1104.37 | − | 410.440i | −1.68350 | − | 0.625670i | ||||
\(657\) | 254.348i | 0.387135i | ||||||||
\(658\) | 42.9927 | + | 3.83464i | 0.0653385 | + | 0.00582772i | ||||
\(659\) | − | 154.348i | − | 0.234215i | −0.993119 | − | 0.117107i | \(-0.962638\pi\) | ||
0.993119 | − | 0.117107i | \(-0.0373622\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 795.115 | 1.20290 | 0.601448 | − | 0.798912i | \(-0.294591\pi\) | ||||
0.601448 | + | 0.798912i | \(0.294591\pi\) | |||||||
\(662\) | 74.2122 | − | 832.042i | 0.112103 | − | 1.25686i | ||||
\(663\) | 405.441 | 0.611524 | ||||||||
\(664\) | −719.665 | − | 196.752i | −1.08383 | − | 0.296313i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 26.7528 | − | 299.943i | 0.0401694 | − | 0.450365i | ||||
\(667\) | −383.414 | −0.574834 | ||||||||
\(668\) | 45.8090 | + | 8.23721i | 0.0685764 | + | 0.0123311i | ||||
\(669\) | 390.477 | 0.583672 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − | 175.527i | − | 0.261591i | ||||||
\(672\) | 59.7900 | + | 28.4984i | 0.0889732 | + | 0.0424083i | ||||
\(673\) | − | 197.215i | − | 0.293039i | −0.989208 | − | 0.146520i | \(-0.953193\pi\) | ||
0.989208 | − | 0.146520i | \(-0.0468071\pi\) | |||||||
\(674\) | −56.3921 | + | 632.249i | −0.0836678 | + | 0.938055i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 172.693 | + | 31.0530i | 0.255463 | + | 0.0459364i | ||||
\(677\) | 530.367i | 0.783408i | 0.920091 | + | 0.391704i | \(0.128114\pi\) | ||||
−0.920091 | + | 0.391704i | \(0.871886\pi\) | |||||||
\(678\) | 9.62309 | − | 107.891i | 0.0141934 | − | 0.159131i | ||||
\(679\) | − | 109.220i | − | 0.160854i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 187.200 | 0.274891 | ||||||||
\(682\) | −905.830 | − | 80.7935i | −1.32820 | − | 0.118466i | ||||
\(683\) | −797.231 | −1.16725 | −0.583625 | − | 0.812024i | \(-0.698366\pi\) | ||||
−0.583625 | + | 0.812024i | \(0.698366\pi\) | |||||||
\(684\) | 59.3916 | − | 330.291i | 0.0868299 | − | 0.482881i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −229.897 | − | 20.5052i | −0.335127 | − | 0.0298909i | ||||
\(687\) | 99.3323 | 0.144588 | ||||||||
\(688\) | 286.221 | + | 106.374i | 0.416020 | + | 0.154613i | ||||
\(689\) | 640.096 | 0.929022 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − | 498.569i | − | 0.721518i | −0.932659 | − | 0.360759i | \(-0.882518\pi\) | ||
0.932659 | − | 0.360759i | \(-0.117482\pi\) | |||||||
\(692\) | 75.0827 | − | 417.552i | 0.108501 | − | 0.603399i | ||||
\(693\) | 29.4716i | 0.0425276i | ||||||||
\(694\) | −443.401 | − | 39.5482i | −0.638906 | − | 0.0569859i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −540.256 | − | 147.703i | −0.776230 | − | 0.212217i | ||||
\(697\) | 1540.88i | 2.21073i | ||||||||
\(698\) | −1117.19 | − | 99.6452i | −1.60056 | − | 0.142758i | ||||
\(699\) | 494.188i | 0.706993i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −455.939 | −0.650412 | −0.325206 | − | 0.945643i | \(-0.605434\pi\) | ||||
−0.325206 | + | 0.945643i | \(0.605434\pi\) | |||||||
\(702\) | −10.3278 | + | 115.792i | −0.0147120 | + | 0.164946i | ||||
\(703\) | −1403.57 | −1.99654 | ||||||||
\(704\) | −267.672 | + | 452.946i | −0.380216 | + | 0.643389i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −54.1670 | + | 607.302i | −0.0767238 | + | 0.860201i | ||||
\(707\) | −35.8241 | −0.0506706 | ||||||||
\(708\) | −74.3831 | + | 413.662i | −0.105061 | + | 0.584268i | ||||
\(709\) | 44.4190 | 0.0626502 | 0.0313251 | − | 0.999509i | \(-0.490027\pi\) | ||||
0.0313251 | + | 0.999509i | \(0.490027\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | − | 69.8710i | − | 0.0982715i | ||||||
\(712\) | −486.080 | − | 132.891i | −0.682696 | − | 0.186645i | ||||
\(713\) | 524.679i | 0.735875i | ||||||||
\(714\) | 7.69576 | − | 86.2823i | 0.0107784 | − | 0.120843i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 30.6741 | − | 170.586i | 0.0428409 | − | 0.238248i | ||||
\(717\) | 133.796i | 0.186605i | ||||||||
\(718\) | 18.8092 | − | 210.882i | 0.0261966 | − | 0.293708i | ||||
\(719\) | − | 1349.94i | − | 1.87752i | −0.344566 | − | 0.938762i | \(-0.611974\pi\) | ||
0.344566 | − | 0.938762i | \(-0.388026\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 106.056 | 0.147095 | ||||||||
\(722\) | −838.827 | − | 74.8174i | −1.16181 | − | 0.103625i | ||||
\(723\) | −226.132 | −0.312769 | ||||||||
\(724\) | 801.599 | + | 144.140i | 1.10718 | + | 0.199089i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 184.320 | + | 16.4400i | 0.253884 | + | 0.0226446i | ||||
\(727\) | −191.470 | −0.263370 | −0.131685 | − | 0.991292i | \(-0.542039\pi\) | ||||
−0.131685 | + | 0.991292i | \(0.542039\pi\) | |||||||
\(728\) | −28.2025 | + | 103.157i | −0.0387397 | + | 0.141699i | ||||
\(729\) | 27.0000 | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 399.351i | − | 0.546308i | ||||||
\(732\) | −145.595 | − | 26.1803i | −0.198900 | − | 0.0357654i | ||||
\(733\) | 358.832i | 0.489539i | 0.969581 | + | 0.244769i | \(0.0787122\pi\) | ||||
−0.969581 | + | 0.244769i | \(0.921288\pi\) | |||||||
\(734\) | −717.551 | − | 64.0004i | −0.977589 | − | 0.0871940i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 274.007 | + | 130.603i | 0.372291 | + | 0.177450i | ||||
\(737\) | 79.6324i | 0.108049i | ||||||||
\(738\) | −440.069 | − | 39.2510i | −0.596300 | − | 0.0531857i | ||||
\(739\) | − | 756.311i | − | 1.02342i | −0.859157 | − | 0.511712i | \(-0.829011\pi\) | ||
0.859157 | − | 0.511712i | \(-0.170989\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 541.844 | 0.731233 | ||||||||
\(742\) | 12.1498 | − | 136.220i | 0.0163744 | − | 0.183584i | ||||
\(743\) | 1148.65 | 1.54596 | 0.772979 | − | 0.634432i | \(-0.218766\pi\) | ||||
0.772979 | + | 0.634432i | \(0.218766\pi\) | |||||||
\(744\) | −202.122 | + | 739.308i | −0.271670 | + | 0.993693i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 24.0738 | − | 269.907i | 0.0322705 | − | 0.361805i | ||||
\(747\) | −279.778 | −0.374536 | ||||||||
\(748\) | 677.233 | + | 121.777i | 0.905392 | + | 0.162804i | ||||
\(749\) | −194.694 | −0.259938 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 431.186i | − | 0.574149i | −0.957908 | − | 0.287074i | \(-0.907317\pi\) | ||
0.957908 | − | 0.287074i | \(-0.0926827\pi\) | |||||||
\(752\) | 270.856 | + | 100.663i | 0.360180 | + | 0.133861i | ||||
\(753\) | − | 757.248i | − | 1.00564i | ||||||
\(754\) | 80.3395 | − | 900.739i | 0.106551 | − | 1.19461i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 24.4458 | + | 4.39576i | 0.0323358 | + | 0.00581449i | ||||
\(757\) | 645.657i | 0.852916i | 0.904507 | + | 0.426458i | \(0.140239\pi\) | ||||
−0.904507 | + | 0.426458i | \(0.859761\pi\) | |||||||
\(758\) | −55.2029 | + | 618.916i | −0.0728270 | + | 0.816511i | ||||
\(759\) | 135.063i | 0.177949i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −291.287 | −0.382768 | −0.191384 | − | 0.981515i | \(-0.561298\pi\) | ||||
−0.191384 | + | 0.981515i | \(0.561298\pi\) | |||||||
\(762\) | 615.808 | + | 54.9257i | 0.808147 | + | 0.0720810i | ||||
\(763\) | 123.507 | 0.161870 | ||||||||
\(764\) | −178.065 | + | 990.261i | −0.233069 | + | 1.29615i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 242.997 | + | 21.6736i | 0.317228 | + | 0.0282945i | ||||
\(767\) | −678.614 | −0.884764 | ||||||||
\(768\) | 335.781 | + | 289.584i | 0.437215 | + | 0.377063i | ||||
\(769\) | 724.076 | 0.941582 | 0.470791 | − | 0.882245i | \(-0.343969\pi\) | ||||
0.470791 | + | 0.882245i | \(0.343969\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | − | 128.809i | − | 0.167068i | ||||||
\(772\) | 199.497 | − | 1109.45i | 0.258416 | − | 1.43711i | ||||
\(773\) | − | 399.686i | − | 0.517058i | −0.966003 | − | 0.258529i | \(-0.916762\pi\) | ||
0.966003 | − | 0.258529i | \(-0.0832378\pi\) | |||||||
\(774\) | 114.053 | + | 10.1727i | 0.147356 | + | 0.0131431i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 192.821 | − | 705.287i | 0.248481 | − | 0.908875i | ||||
\(777\) | − | 103.882i | − | 0.133697i | ||||||
\(778\) | −1084.23 | − | 96.7053i | −1.39361 | − | 0.124300i | ||||
\(779\) | 2059.28i | 2.64349i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 564.717 | 0.723070 | ||||||||
\(782\) | 35.2683 | − | 395.416i | 0.0451001 | − | 0.505647i | ||||
\(783\) | −210.031 | −0.268239 | ||||||||
\(784\) | −713.471 | − | 265.161i | −0.910039 | − | 0.338215i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 47.3147 | − | 530.476i | 0.0601968 | − | 0.674906i | ||||
\(787\) | −381.830 | −0.485172 | −0.242586 | − | 0.970130i | \(-0.577996\pi\) | ||||
−0.242586 | + | 0.970130i | \(0.577996\pi\) | |||||||
\(788\) | −172.366 | + | 958.565i | −0.218738 | + | 1.21645i | ||||
\(789\) | 794.648 | 1.00716 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 37.3670i | − | 0.0472402i | ||||||
\(792\) | −52.0304 | + | 190.313i | −0.0656950 | + | 0.240294i | ||||
\(793\) | − | 238.849i | − | 0.301196i | ||||||
\(794\) | 89.6446 | − | 1005.07i | 0.112903 | − | 1.26583i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 86.3353 | − | 480.131i | 0.108461 | − | 0.603180i | ||||
\(797\) | 18.3955i | 0.0230810i | 0.999933 | + | 0.0115405i | \(0.00367353\pi\) | ||||
−0.999933 | + | 0.0115405i | \(0.996326\pi\) | |||||||
\(798\) | 10.2849 | − | 115.310i | 0.0128883 | − | 0.144499i | ||||
\(799\) | − | 377.912i | − | 0.472981i | ||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −188.969 | −0.235917 | ||||||||
\(802\) | −553.837 | − | 49.3983i | −0.690570 | − | 0.0615939i | ||||
\(803\) | −696.974 | −0.867962 | ||||||||
\(804\) | 66.0527 | + | 11.8773i | 0.0821551 | + | 0.0147728i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −1232.61 | − | 109.940i | −1.52929 | − | 0.136402i | ||||
\(807\) | 554.958 | 0.687681 | ||||||||
\(808\) | −231.334 | − | 63.2453i | −0.286304 | − | 0.0782739i | ||||
\(809\) | 992.161 | 1.22640 | 0.613202 | − | 0.789926i | \(-0.289881\pi\) | ||||
0.613202 | + | 0.789926i | \(0.289881\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 482.957i | − | 0.595509i | −0.954643 | − | 0.297754i | \(-0.903762\pi\) | ||
0.954643 | − | 0.297754i | \(-0.0962376\pi\) | |||||||
\(812\) | −190.162 | − | 34.1943i | −0.234190 | − | 0.0421112i | ||||
\(813\) | 621.908i | 0.764955i | ||||||||
\(814\) | 821.917 | + | 73.3091i | 1.00973 | + | 0.0900603i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 202.022 | − | 543.581i | 0.247575 | − | 0.666153i | ||||
\(817\) | − | 533.706i | − | 0.653251i | ||||||
\(818\) | 590.753 | + | 52.6910i | 0.722192 | + | 0.0644144i | ||||
\(819\) | 40.1035i | 0.0489665i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 614.955 | 0.749031 | 0.374516 | − | 0.927221i | \(-0.377809\pi\) | ||||
0.374516 | + | 0.927221i | \(0.377809\pi\) | |||||||
\(822\) | −16.3086 | + | 182.847i | −0.0198402 | + | 0.222441i | ||||
\(823\) | −11.2878 | −0.0137154 | −0.00685772 | − | 0.999976i | \(-0.502183\pi\) | ||||
−0.00685772 | + | 0.999976i | \(0.502183\pi\) | |||||||
\(824\) | 684.855 | + | 187.235i | 0.831135 | + | 0.227227i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −12.8809 | + | 144.417i | −0.0155943 | + | 0.174839i | ||||
\(827\) | 449.125 | 0.543078 | 0.271539 | − | 0.962427i | \(-0.412467\pi\) | ||||
0.271539 | + | 0.962427i | \(0.412467\pi\) | |||||||
\(828\) | 112.031 | + | 20.1450i | 0.135303 | + | 0.0243297i | ||||
\(829\) | −135.766 | −0.163771 | −0.0818855 | − | 0.996642i | \(-0.526094\pi\) | ||||
−0.0818855 | + | 0.996642i | \(0.526094\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − | 239.070i | − | 0.287690i | ||||||
\(832\) | −364.235 | + | 616.346i | −0.437782 | + | 0.740801i | ||||
\(833\) | 995.472i | 1.19504i | ||||||||
\(834\) | −6.72191 | + | 75.3638i | −0.00805985 | + | 0.0903643i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 905.076 | + | 162.747i | 1.08263 | + | 0.194674i | ||||
\(837\) | 287.415i | 0.343387i | ||||||||
\(838\) | −56.0786 | + | 628.734i | −0.0669196 | + | 0.750280i | ||||
\(839\) | 1509.47i | 1.79913i | 0.436789 | + | 0.899564i | \(0.356116\pi\) | ||||
−0.436789 | + | 0.899564i | \(0.643884\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 792.817 | 0.942707 | ||||||||
\(842\) | −717.861 | − | 64.0280i | −0.852566 | − | 0.0760428i | ||||
\(843\) | 801.080 | 0.950273 | ||||||||
\(844\) | −93.8290 | + | 521.805i | −0.111172 | + | 0.618252i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 107.930 | + | 9.62660i | 0.127577 | + | 0.0113790i | ||||
\(847\) | 63.8374 | 0.0753688 | ||||||||
\(848\) | 318.945 | − | 858.188i | 0.376114 | − | 1.01201i | ||||
\(849\) | −561.138 | −0.660940 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 476.075i | − | 0.559430i | ||||||
\(852\) | 84.2288 | − | 468.416i | 0.0988601 | − | 0.549784i | ||||
\(853\) | 909.826i | 1.06662i | 0.845920 | + | 0.533310i | \(0.179052\pi\) | ||||
−0.845920 | + | 0.533310i | \(0.820948\pi\) | |||||||
\(854\) | −50.8297 | − | 4.53364i | −0.0595195 | − | 0.00530872i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1257.23 | − | 343.720i | −1.46873 | − | 0.401542i | ||||
\(857\) | − | 505.304i | − | 0.589620i | −0.955556 | − | 0.294810i | \(-0.904744\pi\) | ||
0.955556 | − | 0.294810i | \(-0.0952563\pi\) | |||||||
\(858\) | −317.298 | − | 28.3008i | −0.369812 | − | 0.0329846i | ||||
\(859\) | − | 45.9728i | − | 0.0535189i | −0.999642 | − | 0.0267595i | \(-0.991481\pi\) | ||
0.999642 | − | 0.0267595i | \(-0.00851882\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −152.414 | −0.177020 | ||||||||
\(862\) | −93.0365 | + | 1043.09i | −0.107931 | + | 1.21009i | ||||
\(863\) | 142.006 | 0.164549 | 0.0822746 | − | 0.996610i | \(-0.473782\pi\) | ||||
0.0822746 | + | 0.996610i | \(0.473782\pi\) | |||||||
\(864\) | 150.099 | + | 71.5433i | 0.173725 | + | 0.0828047i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 3.82689 | − | 42.9058i | 0.00441904 | − | 0.0495448i | ||||
\(867\) | −257.871 | −0.297429 | ||||||||
\(868\) | −46.7928 | + | 260.226i | −0.0539088 | + | 0.299799i | ||||
\(869\) | 191.463 | 0.220326 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 108.360i | 0.124408i | ||||||||
\(872\) | 797.546 | + | 218.044i | 0.914617 | + | 0.250051i | ||||
\(873\) | − | 274.189i | − | 0.314076i | ||||||
\(874\) | 47.1336 | − | 528.446i | 0.0539287 | − | 0.604630i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −103.955 | + | 578.119i | −0.118670 | + | 0.659953i | ||||
\(877\) | 549.975i | 0.627109i | 0.949570 | + | 0.313555i | \(0.101520\pi\) | ||||
−0.949570 | + | 0.313555i | \(0.898480\pi\) | |||||||
\(878\) | −44.0251 | + | 493.594i | −0.0501425 | + | 0.562180i | ||||
\(879\) | 260.528i | 0.296391i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 636.072 | 0.721989 | 0.360995 | − | 0.932568i | \(-0.382437\pi\) | ||||
0.360995 | + | 0.932568i | \(0.382437\pi\) | |||||||
\(882\) | −284.303 | − | 25.3578i | −0.322339 | − | 0.0287503i | ||||
\(883\) | 689.661 | 0.781043 | 0.390521 | − | 0.920594i | \(-0.372295\pi\) | ||||
0.390521 | + | 0.920594i | \(0.372295\pi\) | |||||||
\(884\) | 921.545 | + | 165.709i | 1.04247 | + | 0.187453i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1164.93 | + | 103.903i | 1.31481 | + | 0.117272i | ||||
\(887\) | 1053.94 | 1.18821 | 0.594103 | − | 0.804389i | \(-0.297507\pi\) | ||||
0.594103 | + | 0.804389i | \(0.297507\pi\) | |||||||
\(888\) | 183.398 | − | 670.821i | 0.206530 | − | 0.755429i | ||||
\(889\) | 213.279 | 0.239909 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 73.9865i | 0.0830376i | ||||||||
\(892\) | 887.533 | + | 159.593i | 0.994992 | + | 0.178916i | ||||
\(893\) | − | 505.054i | − | 0.565570i | ||||||
\(894\) | 10.7977 | + | 0.963078i | 0.0120780 | + | 0.00107727i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 124.252 | + | 89.2123i | 0.138674 | + | 0.0995673i | ||||
\(897\) | 183.787i | 0.204891i | ||||||||
\(898\) | −302.984 | − | 27.0240i | −0.337399 | − | 0.0300936i | ||||
\(899\) | − | 2235.78i | − | 2.48696i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1197.39 | −1.32896 | ||||||||
\(902\) | 107.557 | − | 1205.90i | 0.119243 | − | 1.33691i | ||||
\(903\) | 39.5012 | 0.0437444 | ||||||||
\(904\) | 65.9691 | − | 241.297i | 0.0729747 | − | 0.266922i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −91.2363 | + | 1022.91i | −0.100702 | + | 1.12904i | ||||
\(907\) | −496.037 | −0.546899 | −0.273449 | − | 0.961886i | \(-0.588165\pi\) | ||||
−0.273449 | + | 0.961886i | \(0.588165\pi\) | |||||||
\(908\) | 425.497 | + | 76.5112i | 0.468609 | + | 0.0842635i | ||||
\(909\) | −89.9339 | −0.0989372 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 336.684i | − | 0.369577i | −0.982778 | − | 0.184788i | \(-0.940840\pi\) | ||
0.982778 | − | 0.184788i | \(-0.0591599\pi\) | |||||||
\(912\) | 269.988 | − | 726.459i | 0.296039 | − | 0.796556i | ||||
\(913\) | − | 766.660i | − | 0.839715i | ||||||
\(914\) | 107.042 | − | 1200.12i | 0.117114 | − | 1.31304i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 225.777 | + | 40.5984i | 0.246481 | + | 0.0443214i | ||||
\(917\) | − | 183.725i | − | 0.200355i | ||||||
\(918\) | 19.3197 | − | 216.606i | 0.0210454 | − | 0.235954i | ||||
\(919\) | 937.464i | 1.02009i | 0.860147 | + | 0.510046i | \(0.170371\pi\) | ||||
−0.860147 | + | 0.510046i | \(0.829629\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −976.729 | −1.06051 | ||||||||
\(922\) | −1005.83 | − | 89.7129i | −1.09092 | − | 0.0973025i | ||||
\(923\) | 768.439 | 0.832545 | ||||||||
\(924\) | −12.0454 | + | 66.9875i | −0.0130362 | + | 0.0724973i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 1005.13 | + | 89.6504i | 1.08545 | + | 0.0968147i | ||||
\(927\) | 266.246 | 0.287212 | ||||||||
\(928\) | −1167.61 | − | 556.530i | −1.25820 | − | 0.599709i | ||||
\(929\) | −858.647 | −0.924270 | −0.462135 | − | 0.886810i | \(-0.652916\pi\) | ||||
−0.462135 | + | 0.886810i | \(0.652916\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1330.38i | 1.42898i | ||||||||
\(932\) | −201.981 | + | 1123.26i | −0.216718 | + | 1.20522i | ||||
\(933\) | − | 69.3191i | − | 0.0742971i | ||||||
\(934\) | −1496.89 | − | 133.512i | −1.60267 | − | 0.142947i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −70.8004 | + | 258.968i | −0.0756414 | + | 0.276676i | ||||
\(937\) | − | 1276.09i | − | 1.36189i | −0.732336 | − | 0.680943i | \(-0.761570\pi\) | ||
0.732336 | − | 0.680943i | \(-0.238430\pi\) | |||||||
\(938\) | 23.0602 | + | 2.05680i | 0.0245844 | + | 0.00219275i | ||||
\(939\) | 3.16371i | 0.00336923i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 536.218 | 0.569838 | 0.284919 | − | 0.958552i | \(-0.408033\pi\) | ||||
0.284919 | + | 0.958552i | \(0.408033\pi\) | |||||||
\(942\) | −81.7652 | + | 916.723i | −0.0867995 | + | 0.973167i | ||||
\(943\) | −698.485 | −0.740705 | ||||||||
\(944\) | −338.138 | + | 909.830i | −0.358197 | + | 0.963803i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −27.8757 | + | 312.533i | −0.0294669 | + | 0.330373i | ||||
\(947\) | 48.1723 | 0.0508683 | 0.0254341 | − | 0.999677i | \(-0.491903\pi\) | ||||
0.0254341 | + | 0.999677i | \(0.491903\pi\) | |||||||
\(948\) | 28.5572 | − | 158.813i | 0.0301236 | − | 0.167524i | ||||
\(949\) | −948.407 | −0.999375 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | − | 426.805i | − | 0.448796i | ||||||
\(952\) | 52.7567 | − | 192.970i | 0.0554167 | − | 0.202699i | ||||
\(953\) | 1449.85i | 1.52136i | 0.649129 | + | 0.760679i | \(0.275134\pi\) | ||||
−0.649129 | + | 0.760679i | \(0.724866\pi\) | |||||||
\(954\) | 30.5013 | − | 341.970i | 0.0319720 | − | 0.358459i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −54.6841 | + | 304.111i | −0.0572009 | + | 0.318108i | ||||
\(957\) | − | 575.536i | − | 0.601396i | ||||||
\(958\) | 103.303 | − | 1158.20i | 0.107832 | − | 1.20898i | ||||
\(959\) | 63.3272i | 0.0660346i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −2098.53 | −2.18369 | ||||||||
\(962\) | 1118.42 | + | 99.7553i | 1.16260 | + | 0.103696i | ||||
\(963\) | −488.765 | −0.507544 | ||||||||
\(964\) | −513.986 | − | 92.4231i | −0.533181 | − | 0.0958746i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 39.1120 | + | 3.48851i | 0.0404886 | + | 0.00361129i | ||||
\(967\) | 1320.06 | 1.36510 | 0.682552 | − | 0.730837i | \(-0.260870\pi\) | ||||
0.682552 | + | 0.730837i | \(0.260870\pi\) | |||||||
\(968\) | 412.230 | + | 112.701i | 0.425857 | + | 0.116427i | ||||
\(969\) | −1013.59 | −1.04602 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1269.58i | 1.30749i | 0.756713 | + | 0.653747i | \(0.226804\pi\) | ||||
−0.756713 | + | 0.653747i | \(0.773196\pi\) | |||||||
\(972\) | 61.3696 | + | 11.0352i | 0.0631374 | + | 0.0113531i | ||||
\(973\) | 26.1015i | 0.0268258i | ||||||||
\(974\) | 1110.57 | + | 99.0548i | 1.14021 | + | 0.101699i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −320.229 | − | 119.013i | −0.328103 | − | 0.121939i | ||||
\(977\) | − | 1262.18i | − | 1.29190i | −0.763382 | − | 0.645948i | \(-0.776462\pi\) | ||
0.763382 | − | 0.645948i | \(-0.223538\pi\) | |||||||
\(978\) | 709.167 | + | 63.2526i | 0.725119 | + | 0.0646755i | ||||
\(979\) | − | 517.821i | − | 0.528929i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 310.055 | 0.316061 | ||||||||
\(982\) | 4.65580 | − | 52.1992i | 0.00474114 | − | 0.0531560i | ||||
\(983\) | −235.722 | −0.239798 | −0.119899 | − | 0.992786i | \(-0.538257\pi\) | ||||
−0.119899 | + | 0.992786i | \(0.538257\pi\) | |||||||
\(984\) | −984.212 | − | 269.077i | −1.00022 | − | 0.273453i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −150.286 | + | 1684.96i | −0.152420 | + | 1.70888i | ||||
\(987\) | 37.3806 | 0.0378729 | ||||||||
\(988\) | 1231.58 | + | 221.458i | 1.24654 | + | 0.224148i | ||||
\(989\) | 181.027 | 0.183040 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1601.53i | 1.61607i | 0.589135 | + | 0.808035i | \(0.299469\pi\) | ||||
−0.589135 | + | 0.808035i | \(0.700531\pi\) | |||||||
\(992\) | −761.578 | + | 1597.80i | −0.767719 | + | 1.61068i | ||||
\(993\) | − | 723.430i | − | 0.728530i | ||||||
\(994\) | 14.5859 | − | 163.532i | 0.0146740 | − | 0.164520i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −635.921 | − | 114.349i | −0.638475 | − | 0.114808i | ||||
\(997\) | − | 984.298i | − | 0.987260i | −0.869672 | − | 0.493630i | \(-0.835670\pi\) | ||
0.869672 | − | 0.493630i | \(-0.164330\pi\) | |||||||
\(998\) | −78.9993 | + | 885.713i | −0.0791576 | + | 0.887488i | ||||
\(999\) | − | 260.790i | − | 0.261051i |
(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 | 300.3.f.c.199.16 | 16 | ||
3.2 | odd | 2 | 900.3.f.h.199.1 | 16 | |||
4.3 | odd | 2 | inner | 300.3.f.c.199.2 | 16 | ||
5.2 | odd | 4 | 300.3.c.g.151.4 | yes | 8 | ||
5.3 | odd | 4 | 300.3.c.e.151.5 | ✓ | 8 | ||
5.4 | even | 2 | inner | 300.3.f.c.199.1 | 16 | ||
12.11 | even | 2 | 900.3.f.h.199.15 | 16 | |||
15.2 | even | 4 | 900.3.c.n.451.5 | 8 | |||
15.8 | even | 4 | 900.3.c.t.451.4 | 8 | |||
15.14 | odd | 2 | 900.3.f.h.199.16 | 16 | |||
20.3 | even | 4 | 300.3.c.e.151.6 | yes | 8 | ||
20.7 | even | 4 | 300.3.c.g.151.3 | yes | 8 | ||
20.19 | odd | 2 | inner | 300.3.f.c.199.15 | 16 | ||
60.23 | odd | 4 | 900.3.c.t.451.3 | 8 | |||
60.47 | odd | 4 | 900.3.c.n.451.6 | 8 | |||
60.59 | even | 2 | 900.3.f.h.199.2 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.3.c.e.151.5 | ✓ | 8 | 5.3 | odd | 4 | ||
300.3.c.e.151.6 | yes | 8 | 20.3 | even | 4 | ||
300.3.c.g.151.3 | yes | 8 | 20.7 | even | 4 | ||
300.3.c.g.151.4 | yes | 8 | 5.2 | odd | 4 | ||
300.3.f.c.199.1 | 16 | 5.4 | even | 2 | inner | ||
300.3.f.c.199.2 | 16 | 4.3 | odd | 2 | inner | ||
300.3.f.c.199.15 | 16 | 20.19 | odd | 2 | inner | ||
300.3.f.c.199.16 | 16 | 1.1 | even | 1 | trivial | ||
900.3.c.n.451.5 | 8 | 15.2 | even | 4 | |||
900.3.c.n.451.6 | 8 | 60.47 | odd | 4 | |||
900.3.c.t.451.3 | 8 | 60.23 | odd | 4 | |||
900.3.c.t.451.4 | 8 | 15.8 | even | 4 | |||
900.3.f.h.199.1 | 16 | 3.2 | odd | 2 | |||
900.3.f.h.199.2 | 16 | 60.59 | even | 2 | |||
900.3.f.h.199.15 | 16 | 12.11 | even | 2 | |||
900.3.f.h.199.16 | 16 | 15.14 | odd | 2 |