Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 389.1 | ||
Character | \(\chi\) | \(=\) | 722.389 |
Dual form | 722.2.e.s.245.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | − | 0.984808i | −0.122788 | − | 0.696364i | ||||
\(3\) | −2.14003 | + | 1.79569i | −1.23554 | + | 1.03674i | −0.237685 | + | 0.971342i | \(0.576389\pi\) |
−0.997859 | + | 0.0654024i | \(0.979167\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 2.20318 | + | 0.801892i | 0.985293 | + | 0.358617i | 0.783896 | − | 0.620893i | \(-0.213230\pi\) |
0.201397 | + | 0.979510i | \(0.435452\pi\) | |||||||
\(6\) | 2.14003 | + | 1.79569i | 0.873662 | + | 0.733089i | ||||
\(7\) | 0.642040 | − | 1.11205i | 0.242668 | − | 0.420314i | −0.718805 | − | 0.695211i | \(-0.755311\pi\) |
0.961473 | + | 0.274898i | \(0.0886441\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.834245 | − | 4.73124i | 0.278082 | − | 1.57708i | ||||
\(10\) | 0.407131 | − | 2.30896i | 0.128746 | − | 0.730156i | ||||
\(11\) | −2.87811 | − | 4.98503i | −0.867782 | − | 1.50304i | −0.864258 | − | 0.503049i | \(-0.832212\pi\) |
−0.00352407 | − | 0.999994i | \(-0.501122\pi\) | |||||||
\(12\) | 1.39680 | − | 2.41933i | 0.403222 | − | 0.698401i | ||||
\(13\) | −0.233094 | − | 0.195589i | −0.0646486 | − | 0.0542466i | 0.609891 | − | 0.792485i | \(-0.291213\pi\) |
−0.674539 | + | 0.738239i | \(0.735658\pi\) | |||||||
\(14\) | −1.20664 | − | 0.439181i | −0.322488 | − | 0.117376i | ||||
\(15\) | −6.15482 | + | 2.24017i | −1.58917 | + | 0.578409i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.726925 | + | 4.12259i | 0.176305 | + | 0.999876i | 0.936627 | + | 0.350329i | \(0.113930\pi\) |
−0.760322 | + | 0.649547i | \(0.774959\pi\) | |||||||
\(18\) | −4.80423 | −1.13237 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −2.34458 | −0.524263 | ||||||||
\(21\) | 0.622912 | + | 3.53271i | 0.135931 | + | 0.770901i | ||||
\(22\) | −4.40952 | + | 3.70002i | −0.940112 | + | 0.788848i | ||||
\(23\) | 6.08623 | − | 2.21521i | 1.26907 | − | 0.461903i | 0.382266 | − | 0.924052i | \(-0.375144\pi\) |
0.886802 | + | 0.462150i | \(0.152922\pi\) | |||||||
\(24\) | −2.62513 | − | 0.955469i | −0.535852 | − | 0.195034i | ||||
\(25\) | 0.380754 | + | 0.319491i | 0.0761508 | + | 0.0638981i | ||||
\(26\) | −0.152141 | + | 0.263516i | −0.0298374 | + | 0.0516798i | ||||
\(27\) | 2.52015 | + | 4.36502i | 0.485003 | + | 0.840049i | ||||
\(28\) | −0.222978 | + | 1.26457i | −0.0421389 | + | 0.238981i | ||||
\(29\) | 0.543095 | − | 3.08004i | 0.100850 | − | 0.571950i | −0.891947 | − | 0.452141i | \(-0.850661\pi\) |
0.992797 | − | 0.119809i | \(-0.0382283\pi\) | |||||||
\(30\) | 3.27491 | + | 5.67231i | 0.597914 | + | 1.03562i | ||||
\(31\) | 3.22123 | − | 5.57934i | 0.578550 | − | 1.00208i | −0.417096 | − | 0.908863i | \(-0.636952\pi\) |
0.995646 | − | 0.0932159i | \(-0.0297147\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | 15.1108 | + | 5.49989i | 2.63045 | + | 0.957407i | ||||
\(34\) | 3.93373 | − | 1.43176i | 0.674630 | − | 0.245545i | ||||
\(35\) | 2.30627 | − | 1.93519i | 0.389831 | − | 0.327107i | ||||
\(36\) | 0.834245 | + | 4.73124i | 0.139041 | + | 0.788540i | ||||
\(37\) | 3.97980 | 0.654275 | 0.327137 | − | 0.944977i | \(-0.393916\pi\) | ||||
0.327137 | + | 0.944977i | \(0.393916\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.850045 | 0.136116 | ||||||||
\(40\) | 0.407131 | + | 2.30896i | 0.0643731 | + | 0.365078i | ||||
\(41\) | 3.84339 | − | 3.22499i | 0.600236 | − | 0.503658i | −0.291285 | − | 0.956636i | \(-0.594083\pi\) |
0.891522 | + | 0.452978i | \(0.149638\pi\) | |||||||
\(42\) | 3.37087 | − | 1.22690i | 0.520137 | − | 0.189314i | ||||
\(43\) | 0.929712 | + | 0.338387i | 0.141780 | + | 0.0516036i | 0.411935 | − | 0.911213i | \(-0.364853\pi\) |
−0.270156 | + | 0.962817i | \(0.587075\pi\) | |||||||
\(44\) | 4.40952 | + | 3.70002i | 0.664760 | + | 0.557800i | ||||
\(45\) | 5.63194 | − | 9.75480i | 0.839560 | − | 1.45416i | ||||
\(46\) | −3.23842 | − | 5.60910i | −0.477479 | − | 0.827017i | ||||
\(47\) | −0.763089 | + | 4.32769i | −0.111308 | + | 0.631259i | 0.877204 | + | 0.480117i | \(0.159406\pi\) |
−0.988512 | + | 0.151141i | \(0.951705\pi\) | |||||||
\(48\) | −0.485104 | + | 2.75116i | −0.0700188 | + | 0.397096i | ||||
\(49\) | 2.67557 | + | 4.63422i | 0.382224 | + | 0.662032i | ||||
\(50\) | 0.248520 | − | 0.430448i | 0.0351460 | − | 0.0608746i | ||||
\(51\) | −8.95856 | − | 7.51712i | −1.25445 | − | 1.05261i | ||||
\(52\) | 0.285932 | + | 0.104071i | 0.0396516 | + | 0.0144320i | ||||
\(53\) | 3.09219 | − | 1.12547i | 0.424745 | − | 0.154595i | −0.120798 | − | 0.992677i | \(-0.538545\pi\) |
0.545544 | + | 0.838082i | \(0.316323\pi\) | |||||||
\(54\) | 3.86109 | − | 3.23984i | 0.525428 | − | 0.440886i | ||||
\(55\) | −2.34354 | − | 13.2909i | −0.316002 | − | 1.79214i | ||||
\(56\) | 1.28408 | 0.171592 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.12756 | −0.410669 | ||||||||
\(59\) | −0.575427 | − | 3.26341i | −0.0749142 | − | 0.424860i | −0.999081 | − | 0.0428696i | \(-0.986350\pi\) |
0.924166 | − | 0.381990i | \(-0.124761\pi\) | |||||||
\(60\) | 5.01745 | − | 4.21014i | 0.647750 | − | 0.543527i | ||||
\(61\) | 10.3004 | − | 3.74904i | 1.31883 | − | 0.480015i | 0.415748 | − | 0.909480i | \(-0.363520\pi\) |
0.903084 | + | 0.429465i | \(0.141298\pi\) | |||||||
\(62\) | −6.05394 | − | 2.20345i | −0.768851 | − | 0.279839i | ||||
\(63\) | −4.72573 | − | 3.96536i | −0.595386 | − | 0.499588i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −0.356707 | − | 0.617834i | −0.0442440 | − | 0.0766329i | ||||
\(66\) | 2.79236 | − | 15.8363i | 0.343716 | − | 1.94931i | ||||
\(67\) | 0.760720 | − | 4.31426i | 0.0929368 | − | 0.527071i | −0.902423 | − | 0.430851i | \(-0.858214\pi\) |
0.995360 | − | 0.0962201i | \(-0.0306753\pi\) | |||||||
\(68\) | −2.09310 | − | 3.62535i | −0.253825 | − | 0.439638i | ||||
\(69\) | −9.04686 | + | 15.6696i | −1.08911 | + | 1.88640i | ||||
\(70\) | −2.30627 | − | 1.93519i | −0.275652 | − | 0.231299i | ||||
\(71\) | −4.14940 | − | 1.51026i | −0.492443 | − | 0.179235i | 0.0838491 | − | 0.996478i | \(-0.473279\pi\) |
−0.576292 | + | 0.817244i | \(0.695501\pi\) | |||||||
\(72\) | 4.51450 | − | 1.64314i | 0.532038 | − | 0.193646i | ||||
\(73\) | −1.73654 | + | 1.45713i | −0.203247 | + | 0.170544i | −0.738730 | − | 0.674002i | \(-0.764574\pi\) |
0.535483 | + | 0.844546i | \(0.320130\pi\) | |||||||
\(74\) | −0.691084 | − | 3.91933i | −0.0803369 | − | 0.455613i | ||||
\(75\) | −1.38853 | −0.160334 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.39144 | −0.842332 | ||||||||
\(78\) | −0.147609 | − | 0.837131i | −0.0167134 | − | 0.0947864i | ||||
\(79\) | −6.57005 | + | 5.51292i | −0.739188 | + | 0.620252i | −0.932619 | − | 0.360861i | \(-0.882483\pi\) |
0.193431 | + | 0.981114i | \(0.438038\pi\) | |||||||
\(80\) | 2.20318 | − | 0.801892i | 0.246323 | − | 0.0896543i | ||||
\(81\) | 0.312063 | + | 0.113582i | 0.0346736 | + | 0.0126202i | ||||
\(82\) | −3.84339 | − | 3.22499i | −0.424431 | − | 0.356140i | ||||
\(83\) | 4.88232 | − | 8.45643i | 0.535904 | − | 0.928214i | −0.463214 | − | 0.886246i | \(-0.653304\pi\) |
0.999119 | − | 0.0419676i | \(-0.0133626\pi\) | |||||||
\(84\) | −1.79360 | − | 3.10661i | −0.195698 | − | 0.338959i | ||||
\(85\) | −1.70433 | + | 9.66574i | −0.184861 | + | 1.04840i | ||||
\(86\) | 0.171804 | − | 0.974348i | 0.0185261 | − | 0.105067i | ||||
\(87\) | 4.36858 | + | 7.56661i | 0.468361 | + | 0.811225i | ||||
\(88\) | 2.87811 | − | 4.98503i | 0.306807 | − | 0.531406i | ||||
\(89\) | 11.5493 | + | 9.69101i | 1.22422 | + | 1.02724i | 0.998593 | + | 0.0530316i | \(0.0168884\pi\) |
0.225630 | + | 0.974213i | \(0.427556\pi\) | |||||||
\(90\) | −10.5846 | − | 3.85247i | −1.11571 | − | 0.406086i | ||||
\(91\) | −0.367159 | + | 0.133635i | −0.0384888 | + | 0.0140088i | ||||
\(92\) | −4.96154 | + | 4.16323i | −0.517277 | + | 0.434047i | ||||
\(93\) | 3.12527 | + | 17.7243i | 0.324075 | + | 1.83792i | ||||
\(94\) | 4.39445 | 0.453253 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 2.79360 | 0.285121 | ||||||||
\(97\) | −3.01317 | − | 17.0886i | −0.305942 | − | 1.73508i | −0.619040 | − | 0.785360i | \(-0.712478\pi\) |
0.313098 | − | 0.949721i | \(-0.398633\pi\) | |||||||
\(98\) | 4.09921 | − | 3.43965i | 0.414083 | − | 0.347457i | ||||
\(99\) | −25.9864 | + | 9.45828i | −2.61173 | + | 0.950593i | ||||
\(100\) | −0.467064 | − | 0.169997i | −0.0467064 | − | 0.0169997i | ||||
\(101\) | 2.81649 | + | 2.36332i | 0.280251 | + | 0.235159i | 0.772068 | − | 0.635540i | \(-0.219223\pi\) |
−0.491817 | + | 0.870699i | \(0.663667\pi\) | |||||||
\(102\) | −5.84728 | + | 10.1278i | −0.578967 | + | 1.00280i | ||||
\(103\) | 9.50676 | + | 16.4662i | 0.936729 | + | 1.62246i | 0.771521 | + | 0.636204i | \(0.219496\pi\) |
0.165208 | + | 0.986259i | \(0.447170\pi\) | |||||||
\(104\) | 0.0528381 | − | 0.299660i | 0.00518120 | − | 0.0293841i | ||||
\(105\) | −1.46047 | + | 8.28271i | −0.142527 | + | 0.808310i | ||||
\(106\) | −1.64532 | − | 2.84978i | −0.159808 | − | 0.276795i | ||||
\(107\) | 5.01864 | − | 8.69254i | 0.485170 | − | 0.840339i | −0.514685 | − | 0.857380i | \(-0.672091\pi\) |
0.999855 | + | 0.0170403i | \(0.00542435\pi\) | |||||||
\(108\) | −3.86109 | − | 3.23984i | −0.371533 | − | 0.311754i | ||||
\(109\) | −8.31015 | − | 3.02465i | −0.795968 | − | 0.289709i | −0.0881536 | − | 0.996107i | \(-0.528097\pi\) |
−0.707815 | + | 0.706398i | \(0.750319\pi\) | |||||||
\(110\) | −12.6820 | + | 4.61587i | −1.20918 | + | 0.440105i | ||||
\(111\) | −8.51686 | + | 7.14650i | −0.808385 | + | 0.678316i | ||||
\(112\) | −0.222978 | − | 1.26457i | −0.0210694 | − | 0.119491i | ||||
\(113\) | 14.2502 | 1.34055 | 0.670275 | − | 0.742113i | \(-0.266176\pi\) | ||||
0.670275 | + | 0.742113i | \(0.266176\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 15.1854 | 1.41605 | ||||||||
\(116\) | 0.543095 | + | 3.08004i | 0.0504251 | + | 0.285975i | ||||
\(117\) | −1.11984 | + | 0.939654i | −0.103529 | + | 0.0868710i | ||||
\(118\) | −3.11391 | + | 1.13337i | −0.286658 | + | 0.104335i | ||||
\(119\) | 5.05123 | + | 1.83850i | 0.463045 | + | 0.168535i | ||||
\(120\) | −5.01745 | − | 4.21014i | −0.458029 | − | 0.384332i | ||||
\(121\) | −11.0670 | + | 19.1686i | −1.00609 | + | 1.74260i | ||||
\(122\) | −5.48073 | − | 9.49290i | −0.496202 | − | 0.859447i | ||||
\(123\) | −2.43386 | + | 13.8031i | −0.219454 | + | 1.24458i | ||||
\(124\) | −1.11872 | + | 6.34459i | −0.100464 | + | 0.569761i | ||||
\(125\) | −5.27877 | − | 9.14309i | −0.472147 | − | 0.817783i | ||||
\(126\) | −3.08450 | + | 5.34252i | −0.274789 | + | 0.475949i | ||||
\(127\) | −1.70839 | − | 1.43351i | −0.151595 | − | 0.127203i | 0.563836 | − | 0.825887i | \(-0.309325\pi\) |
−0.715431 | + | 0.698684i | \(0.753770\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −2.59725 | + | 0.945320i | −0.228675 | + | 0.0832308i | ||||
\(130\) | −0.546506 | + | 0.458573i | −0.0479318 | + | 0.0402195i | ||||
\(131\) | 0.264406 | + | 1.49952i | 0.0231013 | + | 0.131014i | 0.994177 | − | 0.107757i | \(-0.0343667\pi\) |
−0.971076 | + | 0.238771i | \(0.923256\pi\) | |||||||
\(132\) | −16.0806 | −1.39964 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.38081 | −0.378445 | ||||||||
\(135\) | 2.05206 | + | 11.6378i | 0.176613 | + | 1.00162i | ||||
\(136\) | −3.20681 | + | 2.69083i | −0.274982 | + | 0.230737i | ||||
\(137\) | −10.0658 | + | 3.66363i | −0.859975 | + | 0.313005i | −0.734101 | − | 0.679041i | \(-0.762396\pi\) |
−0.125875 | + | 0.992046i | \(0.540174\pi\) | |||||||
\(138\) | 17.0025 | + | 6.18842i | 1.44735 | + | 0.526793i | ||||
\(139\) | −8.28426 | − | 6.95132i | −0.702662 | − | 0.589603i | 0.219868 | − | 0.975530i | \(-0.429437\pi\) |
−0.922530 | + | 0.385926i | \(0.873882\pi\) | |||||||
\(140\) | −1.50531 | + | 2.60727i | −0.127222 | + | 0.220355i | ||||
\(141\) | −6.13818 | − | 10.6316i | −0.516928 | − | 0.895346i | ||||
\(142\) | −0.766777 | + | 4.34861i | −0.0643465 | + | 0.364927i | ||||
\(143\) | −0.304147 | + | 1.72491i | −0.0254341 | + | 0.144244i | ||||
\(144\) | −2.40211 | − | 4.16058i | −0.200176 | − | 0.346715i | ||||
\(145\) | 3.66640 | − | 6.35039i | 0.304478 | − | 0.527371i | ||||
\(146\) | 1.73654 | + | 1.45713i | 0.143717 | + | 0.120593i | ||||
\(147\) | −14.0474 | − | 5.11285i | −1.15861 | − | 0.421701i | ||||
\(148\) | −3.73979 | + | 1.36117i | −0.307408 | + | 0.111888i | ||||
\(149\) | −7.15014 | + | 5.99968i | −0.585762 | + | 0.491513i | −0.886834 | − | 0.462089i | \(-0.847100\pi\) |
0.301072 | + | 0.953602i | \(0.402656\pi\) | |||||||
\(150\) | 0.241116 | + | 1.36744i | 0.0196870 | + | 0.111651i | ||||
\(151\) | −19.8232 | −1.61319 | −0.806593 | − | 0.591107i | \(-0.798691\pi\) | ||||
−0.806593 | + | 0.591107i | \(0.798691\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 20.1114 | 1.62591 | ||||||||
\(154\) | 1.28351 | + | 7.27914i | 0.103428 | + | 0.586570i | ||||
\(155\) | 11.5710 | − | 9.70921i | 0.929404 | − | 0.779862i | ||||
\(156\) | −0.798781 | + | 0.290732i | −0.0639537 | + | 0.0232772i | ||||
\(157\) | −13.0313 | − | 4.74301i | −1.04001 | − | 0.378533i | −0.235127 | − | 0.971965i | \(-0.575551\pi\) |
−0.804885 | + | 0.593431i | \(0.797773\pi\) | |||||||
\(158\) | 6.57005 | + | 5.51292i | 0.522685 | + | 0.438585i | ||||
\(159\) | −4.59638 | + | 7.96116i | −0.364517 | + | 0.631361i | ||||
\(160\) | −1.17229 | − | 2.03046i | −0.0926775 | − | 0.160522i | ||||
\(161\) | 1.44419 | − | 8.19042i | 0.113818 | − | 0.645495i | ||||
\(162\) | 0.0576668 | − | 0.327045i | 0.00453074 | − | 0.0256951i | ||||
\(163\) | −7.12480 | − | 12.3405i | −0.558057 | − | 0.966583i | −0.997659 | − | 0.0683904i | \(-0.978214\pi\) |
0.439601 | − | 0.898193i | \(-0.355120\pi\) | |||||||
\(164\) | −2.50859 | + | 4.34501i | −0.195888 | + | 0.339288i | ||||
\(165\) | 28.8815 | + | 24.2345i | 2.24842 | + | 1.88665i | ||||
\(166\) | −9.17576 | − | 3.33971i | −0.712177 | − | 0.259211i | ||||
\(167\) | 10.8911 | − | 3.96405i | 0.842782 | − | 0.306748i | 0.115688 | − | 0.993286i | \(-0.463093\pi\) |
0.727094 | + | 0.686538i | \(0.240870\pi\) | |||||||
\(168\) | −2.74796 | + | 2.30581i | −0.212010 | + | 0.177897i | ||||
\(169\) | −2.24135 | − | 12.7113i | −0.172411 | − | 0.977794i | ||||
\(170\) | 9.81485 | 0.752764 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.989378 | −0.0754394 | ||||||||
\(173\) | −0.691732 | − | 3.92301i | −0.0525914 | − | 0.298261i | 0.947155 | − | 0.320776i | \(-0.103944\pi\) |
−0.999746 | + | 0.0225153i | \(0.992833\pi\) | |||||||
\(174\) | 6.69306 | − | 5.61614i | 0.507399 | − | 0.425759i | ||||
\(175\) | 0.599747 | − | 0.218290i | 0.0453366 | − | 0.0165012i | ||||
\(176\) | −5.40907 | − | 1.96874i | −0.407724 | − | 0.148399i | ||||
\(177\) | 7.09151 | + | 5.95048i | 0.533031 | + | 0.447266i | ||||
\(178\) | 7.53827 | − | 13.0567i | 0.565017 | − | 0.978638i | ||||
\(179\) | −4.22545 | − | 7.31869i | −0.315825 | − | 0.547024i | 0.663788 | − | 0.747921i | \(-0.268948\pi\) |
−0.979612 | + | 0.200897i | \(0.935614\pi\) | |||||||
\(180\) | −1.95595 | + | 11.0928i | −0.145788 | + | 0.826805i | ||||
\(181\) | −1.47345 | + | 8.35635i | −0.109521 | + | 0.621123i | 0.879797 | + | 0.475349i | \(0.157678\pi\) |
−0.989318 | + | 0.145774i | \(0.953433\pi\) | |||||||
\(182\) | 0.195361 | + | 0.338376i | 0.0144811 | + | 0.0250821i | ||||
\(183\) | −15.3110 | + | 26.5194i | −1.13182 | + | 1.96037i | ||||
\(184\) | 4.96154 | + | 4.16323i | 0.365770 | + | 0.306917i | ||||
\(185\) | 8.76821 | + | 3.19137i | 0.644652 | + | 0.234634i | ||||
\(186\) | 16.9123 | − | 6.15557i | 1.24007 | − | 0.451349i | ||||
\(187\) | 18.4591 | − | 15.4890i | 1.34986 | − | 1.13267i | ||||
\(188\) | −0.763089 | − | 4.32769i | −0.0556540 | − | 0.315629i | ||||
\(189\) | 6.47214 | 0.470779 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −22.3790 | −1.61929 | −0.809644 | − | 0.586921i | \(-0.800340\pi\) | ||||
−0.809644 | + | 0.586921i | \(0.800340\pi\) | |||||||
\(192\) | −0.485104 | − | 2.75116i | −0.0350094 | − | 0.198548i | ||||
\(193\) | −5.69026 | + | 4.77470i | −0.409594 | + | 0.343690i | −0.824188 | − | 0.566316i | \(-0.808368\pi\) |
0.414594 | + | 0.910007i | \(0.363924\pi\) | |||||||
\(194\) | −16.3057 | + | 5.93480i | −1.17068 | + | 0.426093i | ||||
\(195\) | 1.87280 | + | 0.681645i | 0.134114 | + | 0.0488136i | ||||
\(196\) | −4.09921 | − | 3.43965i | −0.292801 | − | 0.245689i | ||||
\(197\) | −4.26777 | + | 7.39199i | −0.304066 | + | 0.526658i | −0.977053 | − | 0.212997i | \(-0.931678\pi\) |
0.672987 | + | 0.739654i | \(0.265011\pi\) | |||||||
\(198\) | 13.8271 | + | 23.9492i | 0.982648 | + | 1.70200i | ||||
\(199\) | −1.10427 | + | 6.26264i | −0.0782798 | + | 0.443947i | 0.920326 | + | 0.391153i | \(0.127924\pi\) |
−0.998605 | + | 0.0527939i | \(0.983187\pi\) | |||||||
\(200\) | −0.0863099 | + | 0.489488i | −0.00610303 | + | 0.0346120i | ||||
\(201\) | 6.11913 | + | 10.5986i | 0.431610 | + | 0.747571i | ||||
\(202\) | 1.83833 | − | 3.18409i | 0.129345 | − | 0.224032i | ||||
\(203\) | −3.07646 | − | 2.58146i | −0.215925 | − | 0.181183i | ||||
\(204\) | 10.9893 | + | 3.99978i | 0.769405 | + | 0.280040i | ||||
\(205\) | 11.0538 | − | 4.02324i | 0.772029 | − | 0.280996i | ||||
\(206\) | 14.5652 | − | 12.2217i | 1.01481 | − | 0.851523i | ||||
\(207\) | −5.40327 | − | 30.6435i | −0.375553 | − | 2.12987i | ||||
\(208\) | −0.304282 | −0.0210982 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.41049 | 0.580379 | ||||||||
\(211\) | 2.42375 | + | 13.7457i | 0.166858 | + | 0.946296i | 0.947128 | + | 0.320855i | \(0.103970\pi\) |
−0.780271 | + | 0.625442i | \(0.784919\pi\) | |||||||
\(212\) | −2.52078 | + | 2.11518i | −0.173128 | + | 0.145271i | ||||
\(213\) | 11.5918 | − | 4.21906i | 0.794255 | − | 0.289085i | ||||
\(214\) | −9.43195 | − | 3.43295i | −0.644755 | − | 0.234672i | ||||
\(215\) | 1.77697 | + | 1.49106i | 0.121189 | + | 0.101689i | ||||
\(216\) | −2.52015 | + | 4.36502i | −0.171474 | + | 0.297002i | ||||
\(217\) | −4.13632 | − | 7.16431i | −0.280791 | − | 0.486345i | ||||
\(218\) | −1.53565 | + | 8.70913i | −0.104008 | + | 0.589857i | ||||
\(219\) | 1.09968 | − | 6.23659i | 0.0743095 | − | 0.421430i | ||||
\(220\) | 6.74794 | + | 11.6878i | 0.454946 | + | 0.787990i | ||||
\(221\) | 0.636892 | − | 1.10313i | 0.0428420 | − | 0.0742046i | ||||
\(222\) | 8.51686 | + | 7.14650i | 0.571615 | + | 0.479642i | ||||
\(223\) | 8.38582 | + | 3.05219i | 0.561556 | + | 0.204390i | 0.607173 | − | 0.794569i | \(-0.292303\pi\) |
−0.0456176 | + | 0.998959i | \(0.514526\pi\) | |||||||
\(224\) | −1.20664 | + | 0.439181i | −0.0806220 | + | 0.0293440i | ||||
\(225\) | 1.82923 | − | 1.53490i | 0.121949 | − | 0.102327i | ||||
\(226\) | −2.47453 | − | 14.0337i | −0.164603 | − | 0.933511i | ||||
\(227\) | 0.659796 | 0.0437922 | 0.0218961 | − | 0.999760i | \(-0.493030\pi\) | ||||
0.0218961 | + | 0.999760i | \(0.493030\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −6.97208 | −0.460728 | −0.230364 | − | 0.973105i | \(-0.573992\pi\) | ||||
−0.230364 | + | 0.973105i | \(0.573992\pi\) | |||||||
\(230\) | −2.63692 | − | 14.9547i | −0.173874 | − | 0.986086i | ||||
\(231\) | 15.8179 | − | 13.2728i | 1.04074 | − | 0.873283i | ||||
\(232\) | 2.93894 | − | 1.06969i | 0.192951 | − | 0.0702285i | ||||
\(233\) | 27.8240 | + | 10.1271i | 1.82281 | + | 0.663449i | 0.994692 | + | 0.102898i | \(0.0328115\pi\) |
0.828120 | + | 0.560551i | \(0.189411\pi\) | |||||||
\(234\) | 1.11984 | + | 0.939654i | 0.0732060 | + | 0.0614271i | ||||
\(235\) | −5.15156 | + | 8.92277i | −0.336051 | + | 0.582057i | ||||
\(236\) | 1.65688 | + | 2.86979i | 0.107853 | + | 0.186808i | ||||
\(237\) | 4.16054 | − | 23.5956i | 0.270256 | − | 1.53270i | ||||
\(238\) | 0.933429 | − | 5.29374i | 0.0605052 | − | 0.343142i | ||||
\(239\) | 12.3517 | + | 21.3938i | 0.798965 | + | 1.38385i | 0.920291 | + | 0.391235i | \(0.127952\pi\) |
−0.121326 | + | 0.992613i | \(0.538715\pi\) | |||||||
\(240\) | −3.27491 | + | 5.67231i | −0.211395 | + | 0.366146i | ||||
\(241\) | −21.1111 | − | 17.7144i | −1.35989 | − | 1.14108i | −0.976017 | − | 0.217696i | \(-0.930146\pi\) |
−0.383872 | − | 0.923386i | \(-0.625410\pi\) | |||||||
\(242\) | 20.7992 | + | 7.57028i | 1.33702 | + | 0.486636i | ||||
\(243\) | −15.0808 | + | 5.48895i | −0.967431 | + | 0.352116i | ||||
\(244\) | −8.39696 | + | 7.04589i | −0.537561 | + | 0.451067i | ||||
\(245\) | 2.17862 | + | 12.3556i | 0.139187 | + | 0.789367i | ||||
\(246\) | 14.0160 | 0.893630 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 6.44246 | 0.409097 | ||||||||
\(249\) | 4.73687 | + | 26.8641i | 0.300187 | + | 1.70245i | ||||
\(250\) | −8.08754 | + | 6.78625i | −0.511501 | + | 0.429200i | ||||
\(251\) | 2.80832 | − | 1.02215i | 0.177260 | − | 0.0645172i | −0.251866 | − | 0.967762i | \(-0.581044\pi\) |
0.429125 | + | 0.903245i | \(0.358822\pi\) | |||||||
\(252\) | 5.79697 | + | 2.10992i | 0.365175 | + | 0.132913i | ||||
\(253\) | −28.5597 | − | 23.9644i | −1.79553 | − | 1.50663i | ||||
\(254\) | −1.11507 | + | 1.93136i | −0.0699659 | + | 0.121185i | ||||
\(255\) | −13.7094 | − | 23.7454i | −0.858516 | − | 1.48699i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −2.45404 | + | 13.9176i | −0.153079 | + | 0.868153i | 0.807442 | + | 0.589947i | \(0.200851\pi\) |
−0.960521 | + | 0.278207i | \(0.910260\pi\) | |||||||
\(258\) | 1.38197 | + | 2.39364i | 0.0860374 | + | 0.149021i | ||||
\(259\) | 2.55519 | − | 4.42571i | 0.158772 | − | 0.275000i | ||||
\(260\) | 0.546506 | + | 0.458573i | 0.0338929 | + | 0.0284395i | ||||
\(261\) | −14.1194 | − | 5.13902i | −0.873966 | − | 0.318098i | ||||
\(262\) | 1.43083 | − | 0.520778i | 0.0883968 | − | 0.0321738i | ||||
\(263\) | 5.79809 | − | 4.86518i | 0.357526 | − | 0.300000i | −0.446278 | − | 0.894894i | \(-0.647251\pi\) |
0.803804 | + | 0.594895i | \(0.202806\pi\) | |||||||
\(264\) | 2.79236 | + | 15.8363i | 0.171858 | + | 0.974656i | ||||
\(265\) | 7.71517 | 0.473939 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −42.1179 | −2.57757 | ||||||||
\(268\) | 0.760720 | + | 4.31426i | 0.0464684 | + | 0.263535i | ||||
\(269\) | 5.87613 | − | 4.93066i | 0.358274 | − | 0.300628i | −0.445828 | − | 0.895118i | \(-0.647091\pi\) |
0.804102 | + | 0.594491i | \(0.202646\pi\) | |||||||
\(270\) | 11.1047 | − | 4.04177i | 0.675809 | − | 0.245975i | ||||
\(271\) | −10.9614 | − | 3.98963i | −0.665858 | − | 0.242353i | −0.0130948 | − | 0.999914i | \(-0.504168\pi\) |
−0.652764 | + | 0.757562i | \(0.726391\pi\) | |||||||
\(272\) | 3.20681 | + | 2.69083i | 0.194441 | + | 0.163156i | ||||
\(273\) | 0.545762 | − | 0.945288i | 0.0330310 | − | 0.0572114i | ||||
\(274\) | 5.35588 | + | 9.27665i | 0.323560 | + | 0.560423i | ||||
\(275\) | 0.496818 | − | 2.81760i | 0.0299593 | − | 0.169908i | ||||
\(276\) | 3.14194 | − | 17.8188i | 0.189123 | − | 1.07257i | ||||
\(277\) | −13.7202 | − | 23.7642i | −0.824370 | − | 1.42785i | −0.902400 | − | 0.430899i | \(-0.858197\pi\) |
0.0780307 | − | 0.996951i | \(-0.475137\pi\) | |||||||
\(278\) | −5.40717 | + | 9.36549i | −0.324300 | + | 0.561705i | ||||
\(279\) | −23.7099 | − | 19.8950i | −1.41947 | − | 1.19108i | ||||
\(280\) | 2.82906 | + | 1.02969i | 0.169069 | + | 0.0615359i | ||||
\(281\) | 15.2902 | − | 5.56517i | 0.912136 | − | 0.331990i | 0.157031 | − | 0.987594i | \(-0.449808\pi\) |
0.755106 | + | 0.655603i | \(0.227586\pi\) | |||||||
\(282\) | −9.40424 | + | 7.89109i | −0.560014 | + | 0.469908i | ||||
\(283\) | 0.589317 | + | 3.34218i | 0.0350312 | + | 0.198672i | 0.997301 | − | 0.0734265i | \(-0.0233934\pi\) |
−0.962269 | + | 0.272099i | \(0.912282\pi\) | |||||||
\(284\) | 4.41570 | 0.262023 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.75152 | 0.103569 | ||||||||
\(287\) | −1.11872 | − | 6.34459i | −0.0660361 | − | 0.374509i | ||||
\(288\) | −3.68025 | + | 3.08810i | −0.216861 | + | 0.181968i | ||||
\(289\) | −0.492591 | + | 0.179288i | −0.0289759 | + | 0.0105464i | ||||
\(290\) | −6.89058 | − | 2.50797i | −0.404629 | − | 0.147273i | ||||
\(291\) | 37.1341 | + | 31.1592i | 2.17684 | + | 1.82659i | ||||
\(292\) | 1.13345 | − | 1.96319i | 0.0663299 | − | 0.114887i | ||||
\(293\) | 11.6892 | + | 20.2462i | 0.682888 | + | 1.18280i | 0.974096 | + | 0.226136i | \(0.0726095\pi\) |
−0.291208 | + | 0.956660i | \(0.594057\pi\) | |||||||
\(294\) | −2.59586 | + | 14.7219i | −0.151394 | + | 0.858596i | ||||
\(295\) | 1.34913 | − | 7.65131i | 0.0785495 | − | 0.445477i | ||||
\(296\) | 1.98990 | + | 3.44660i | 0.115660 | + | 0.200330i | ||||
\(297\) | 14.5065 | − | 25.1260i | 0.841753 | − | 1.45796i | ||||
\(298\) | 7.15014 | + | 5.99968i | 0.414196 | + | 0.347552i | ||||
\(299\) | −1.85193 | − | 0.674049i | −0.107100 | − | 0.0389813i | ||||
\(300\) | 1.30479 | − | 0.474905i | 0.0753322 | − | 0.0274187i | ||||
\(301\) | 0.973214 | − | 0.816623i | 0.0560951 | − | 0.0470694i | ||||
\(302\) | 3.44226 | + | 19.5220i | 0.198080 | + | 1.12337i | ||||
\(303\) | −10.2712 | −0.590062 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 25.7000 | 1.47158 | ||||||||
\(306\) | −3.49231 | − | 19.8059i | −0.199642 | − | 1.13223i | ||||
\(307\) | 1.06329 | − | 0.892202i | 0.0606849 | − | 0.0509207i | −0.611941 | − | 0.790904i | \(-0.709611\pi\) |
0.672626 | + | 0.739983i | \(0.265166\pi\) | |||||||
\(308\) | 6.94568 | − | 2.52802i | 0.395767 | − | 0.144047i | ||||
\(309\) | −49.9130 | − | 18.1668i | −2.83945 | − | 1.03348i | ||||
\(310\) | −11.5710 | − | 9.70921i | −0.657188 | − | 0.551446i | ||||
\(311\) | 6.09512 | − | 10.5571i | 0.345623 | − | 0.598636i | −0.639844 | − | 0.768505i | \(-0.721001\pi\) |
0.985467 | + | 0.169869i | \(0.0543343\pi\) | |||||||
\(312\) | 0.425022 | + | 0.736160i | 0.0240622 | + | 0.0416769i | ||||
\(313\) | 2.87065 | − | 16.2803i | 0.162259 | − | 0.920215i | −0.789587 | − | 0.613638i | \(-0.789705\pi\) |
0.951846 | − | 0.306577i | \(-0.0991836\pi\) | |||||||
\(314\) | −2.40809 | + | 13.6569i | −0.135896 | + | 0.770706i | ||||
\(315\) | −7.23185 | − | 12.5259i | −0.407469 | − | 0.705757i | ||||
\(316\) | 4.28829 | − | 7.42754i | 0.241235 | − | 0.417832i | ||||
\(317\) | −2.05921 | − | 1.72789i | −0.115657 | − | 0.0970477i | 0.583125 | − | 0.812382i | \(-0.301830\pi\) |
−0.698782 | + | 0.715335i | \(0.746274\pi\) | |||||||
\(318\) | 8.63837 | + | 3.14411i | 0.484415 | + | 0.176313i | ||||
\(319\) | −16.9172 | + | 6.15736i | −0.947181 | + | 0.344746i | ||||
\(320\) | −1.79605 | + | 1.50706i | −0.100402 | + | 0.0842475i | ||||
\(321\) | 4.86913 | + | 27.6142i | 0.271768 | + | 1.54127i | ||||
\(322\) | −8.31677 | −0.463475 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −0.332090 | −0.0184495 | ||||||||
\(325\) | −0.0262626 | − | 0.148943i | −0.00145679 | − | 0.00826185i | ||||
\(326\) | −10.9158 | + | 9.15946i | −0.604571 | + | 0.507296i | ||||
\(327\) | 23.2153 | − | 8.44967i | 1.28381 | − | 0.467268i | ||||
\(328\) | 4.71461 | + | 1.71598i | 0.260321 | + | 0.0947491i | ||||
\(329\) | 4.32265 | + | 3.62714i | 0.238316 | + | 0.199971i | ||||
\(330\) | 18.8511 | − | 32.6510i | 1.03772 | − | 1.79738i | ||||
\(331\) | 2.60651 | + | 4.51462i | 0.143267 | + | 0.248146i | 0.928725 | − | 0.370769i | \(-0.120906\pi\) |
−0.785458 | + | 0.618915i | \(0.787573\pi\) | |||||||
\(332\) | −1.69561 | + | 9.61630i | −0.0930588 | + | 0.527763i | ||||
\(333\) | 3.32013 | − | 18.8294i | 0.181942 | − | 1.03184i | ||||
\(334\) | −5.79506 | − | 10.0373i | −0.317091 | − | 0.549218i | ||||
\(335\) | 5.13558 | − | 8.89508i | 0.280587 | − | 0.485990i | ||||
\(336\) | 2.74796 | + | 2.30581i | 0.149914 | + | 0.125792i | ||||
\(337\) | −25.1156 | − | 9.14133i | −1.36813 | − | 0.497960i | −0.449575 | − | 0.893243i | \(-0.648424\pi\) |
−0.918560 | + | 0.395283i | \(0.870647\pi\) | |||||||
\(338\) | −12.1290 | + | 4.41459i | −0.659731 | + | 0.240122i | ||||
\(339\) | −30.4959 | + | 25.5891i | −1.65631 | + | 1.38981i | ||||
\(340\) | −1.70433 | − | 9.66574i | −0.0924303 | − | 0.524198i | ||||
\(341\) | −37.0842 | −2.00822 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.8598 | 0.856351 | ||||||||
\(344\) | 0.171804 | + | 0.974348i | 0.00926304 | + | 0.0525333i | ||||
\(345\) | −32.4972 | + | 27.2684i | −1.74959 | + | 1.46808i | ||||
\(346\) | −3.74329 | + | 1.36245i | −0.201241 | + | 0.0732456i | ||||
\(347\) | 30.6981 | + | 11.1732i | 1.64796 | + | 0.599808i | 0.988404 | − | 0.151849i | \(-0.0485227\pi\) |
0.659555 | + | 0.751657i | \(0.270745\pi\) | |||||||
\(348\) | −6.69306 | − | 5.61614i | −0.358785 | − | 0.301057i | ||||
\(349\) | 14.5529 | − | 25.2063i | 0.778998 | − | 1.34926i | −0.153521 | − | 0.988145i | \(-0.549061\pi\) |
0.932520 | − | 0.361119i | \(-0.117605\pi\) | |||||||
\(350\) | −0.319119 | − | 0.552730i | −0.0170576 | − | 0.0295447i | ||||
\(351\) | 0.266320 | − | 1.51037i | 0.0142151 | − | 0.0806178i | ||||
\(352\) | −0.999556 | + | 5.66877i | −0.0532765 | + | 0.302146i | ||||
\(353\) | 7.15244 | + | 12.3884i | 0.380686 | + | 0.659368i | 0.991160 | − | 0.132668i | \(-0.0423545\pi\) |
−0.610474 | + | 0.792036i | \(0.709021\pi\) | |||||||
\(354\) | 4.62866 | − | 8.01707i | 0.246010 | − | 0.426102i | ||||
\(355\) | −7.93081 | − | 6.65474i | −0.420924 | − | 0.353197i | ||||
\(356\) | −14.1673 | − | 5.15648i | −0.750866 | − | 0.273293i | ||||
\(357\) | −14.1111 | + | 5.13603i | −0.746840 | + | 0.271828i | ||||
\(358\) | −6.47376 | + | 5.43213i | −0.342149 | + | 0.287097i | ||||
\(359\) | 3.41578 | + | 19.3719i | 0.180278 | + | 1.02241i | 0.931874 | + | 0.362783i | \(0.118173\pi\) |
−0.751595 | + | 0.659624i | \(0.770715\pi\) | |||||||
\(360\) | 11.2639 | 0.593658 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 8.48526 | 0.445976 | ||||||||
\(363\) | −10.7373 | − | 60.8943i | −0.563562 | − | 3.19612i | ||||
\(364\) | 0.299311 | − | 0.251152i | 0.0156882 | − | 0.0131639i | ||||
\(365\) | −4.99438 | + | 1.81780i | −0.261418 | + | 0.0951482i | ||||
\(366\) | 28.7752 | + | 10.4733i | 1.50411 | + | 0.547450i | ||||
\(367\) | 7.31613 | + | 6.13896i | 0.381899 | + | 0.320451i | 0.813447 | − | 0.581638i | \(-0.197588\pi\) |
−0.431548 | + | 0.902090i | \(0.642033\pi\) | |||||||
\(368\) | 3.23842 | − | 5.60910i | 0.168814 | − | 0.292395i | ||||
\(369\) | −12.0518 | − | 20.8744i | −0.627394 | − | 1.08668i | ||||
\(370\) | 1.62030 | − | 9.18918i | 0.0842354 | − | 0.477723i | ||||
\(371\) | 0.733741 | − | 4.16125i | 0.0380939 | − | 0.216041i | ||||
\(372\) | −8.99885 | − | 15.5865i | −0.466569 | − | 0.808120i | ||||
\(373\) | 1.82005 | − | 3.15242i | 0.0942387 | − | 0.163226i | −0.815052 | − | 0.579388i | \(-0.803292\pi\) |
0.909291 | + | 0.416162i | \(0.136625\pi\) | |||||||
\(374\) | −18.4591 | − | 15.4890i | −0.954496 | − | 0.800918i | ||||
\(375\) | 27.7149 | + | 10.0874i | 1.43119 | + | 0.520911i | ||||
\(376\) | −4.12943 | + | 1.50299i | −0.212959 | + | 0.0775109i | ||||
\(377\) | −0.729015 | + | 0.611716i | −0.0375462 | + | 0.0315050i | ||||
\(378\) | −1.12387 | − | 6.37381i | −0.0578059 | − | 0.327833i | ||||
\(379\) | −8.34741 | −0.428778 | −0.214389 | − | 0.976748i | \(-0.568776\pi\) | ||||
−0.214389 | + | 0.976748i | \(0.568776\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.23015 | 0.319180 | ||||||||
\(382\) | 3.88608 | + | 22.0390i | 0.198829 | + | 1.12761i | ||||
\(383\) | 7.26644 | − | 6.09727i | 0.371298 | − | 0.311556i | −0.437977 | − | 0.898986i | \(-0.644305\pi\) |
0.809275 | + | 0.587430i | \(0.199860\pi\) | |||||||
\(384\) | −2.62513 | + | 0.955469i | −0.133963 | + | 0.0487586i | ||||
\(385\) | −16.2847 | − | 5.92714i | −0.829944 | − | 0.302075i | ||||
\(386\) | 5.69026 | + | 4.77470i | 0.289627 | + | 0.243026i | ||||
\(387\) | 2.37660 | − | 4.11639i | 0.120809 | − | 0.209248i | ||||
\(388\) | 8.67609 | + | 15.0274i | 0.440462 | + | 0.762902i | ||||
\(389\) | 6.25966 | − | 35.5003i | 0.317378 | − | 1.79994i | −0.241189 | − | 0.970478i | \(-0.577537\pi\) |
0.558567 | − | 0.829460i | \(-0.311351\pi\) | |||||||
\(390\) | 0.346080 | − | 1.96272i | 0.0175244 | − | 0.0993860i | ||||
\(391\) | 13.5566 | + | 23.4808i | 0.685589 | + | 1.18747i | ||||
\(392\) | −2.67557 | + | 4.63422i | −0.135137 | + | 0.234064i | ||||
\(393\) | −3.25852 | − | 2.73422i | −0.164371 | − | 0.137923i | ||||
\(394\) | 8.02078 | + | 2.91933i | 0.404081 | + | 0.147074i | ||||
\(395\) | −18.8958 | + | 6.87750i | −0.950750 | + | 0.346045i | ||||
\(396\) | 21.1843 | − | 17.7758i | 1.06455 | − | 0.893265i | ||||
\(397\) | −1.11292 | − | 6.31169i | −0.0558559 | − | 0.316775i | 0.944060 | − | 0.329775i | \(-0.106973\pi\) |
−0.999915 | + | 0.0130002i | \(0.995862\pi\) | |||||||
\(398\) | 6.35926 | 0.318761 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.497039 | 0.0248520 | ||||||||
\(401\) | −0.0325868 | − | 0.184809i | −0.00162731 | − | 0.00922891i | 0.983983 | − | 0.178261i | \(-0.0570470\pi\) |
−0.985611 | + | 0.169032i | \(0.945936\pi\) | |||||||
\(402\) | 9.37505 | − | 7.86660i | 0.467585 | − | 0.392350i | ||||
\(403\) | −1.84211 | + | 0.670472i | −0.0917619 | + | 0.0333986i | ||||
\(404\) | −3.45494 | − | 1.25749i | −0.171890 | − | 0.0625627i | ||||
\(405\) | 0.596450 | + | 0.500481i | 0.0296379 | + | 0.0248691i | ||||
\(406\) | −2.00802 | + | 3.47799i | −0.0996562 | + | 0.172610i | ||||
\(407\) | −11.4543 | − | 19.8394i | −0.567768 | − | 0.983402i | ||||
\(408\) | 2.03074 | − | 11.5169i | 0.100537 | − | 0.570171i | ||||
\(409\) | −2.99826 | + | 17.0040i | −0.148254 | + | 0.840792i | 0.816442 | + | 0.577427i | \(0.195943\pi\) |
−0.964696 | + | 0.263364i | \(0.915168\pi\) | |||||||
\(410\) | −5.88159 | − | 10.1872i | −0.290471 | − | 0.503110i | ||||
\(411\) | 14.9622 | − | 25.9153i | 0.738031 | − | 1.27831i | ||||
\(412\) | −14.5652 | − | 12.2217i | −0.717576 | − | 0.602118i | ||||
\(413\) | −3.99850 | − | 1.45534i | −0.196754 | − | 0.0716124i | ||||
\(414\) | −29.2396 | + | 10.6424i | −1.43705 | + | 0.523044i | ||||
\(415\) | 17.5378 | − | 14.7160i | 0.860896 | − | 0.722378i | ||||
\(416\) | 0.0528381 | + | 0.299660i | 0.00259060 | + | 0.0146920i | ||||
\(417\) | 30.2110 | 1.47944 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.72572 | −0.0843068 | −0.0421534 | − | 0.999111i | \(-0.513422\pi\) | ||||
−0.0421534 | + | 0.999111i | \(0.513422\pi\) | |||||||
\(420\) | −1.46047 | − | 8.28271i | −0.0712634 | − | 0.404155i | ||||
\(421\) | −25.0914 | + | 21.0542i | −1.22288 | + | 1.02612i | −0.224213 | + | 0.974540i | \(0.571981\pi\) |
−0.998669 | + | 0.0515798i | \(0.983574\pi\) | |||||||
\(422\) | 13.1160 | − | 4.77385i | 0.638479 | − | 0.232387i | ||||
\(423\) | 19.8387 | + | 7.22071i | 0.964592 | + | 0.351083i | ||||
\(424\) | 2.52078 | + | 2.11518i | 0.122420 | + | 0.102722i | ||||
\(425\) | −1.04035 | + | 1.80194i | −0.0504644 | + | 0.0874069i | ||||
\(426\) | −6.16785 | − | 10.6830i | −0.298833 | − | 0.517595i | ||||
\(427\) | 2.44416 | − | 13.8615i | 0.118281 | − | 0.670807i | ||||
\(428\) | −1.74295 | + | 9.88479i | −0.0842489 | + | 0.477799i | ||||
\(429\) | −2.44652 | − | 4.23750i | −0.118119 | − | 0.204588i | ||||
\(430\) | 1.15984 | − | 2.00890i | 0.0559323 | − | 0.0968776i | ||||
\(431\) | 19.5433 | + | 16.3987i | 0.941366 | + | 0.789900i | 0.977822 | − | 0.209435i | \(-0.0671626\pi\) |
−0.0364565 | + | 0.999335i | \(0.511607\pi\) | |||||||
\(432\) | 4.73633 | + | 1.72388i | 0.227877 | + | 0.0829403i | ||||
\(433\) | 23.0069 | − | 8.37382i | 1.10564 | − | 0.402420i | 0.276247 | − | 0.961087i | \(-0.410909\pi\) |
0.829392 | + | 0.558667i | \(0.188687\pi\) | |||||||
\(434\) | −6.33720 | + | 5.31755i | −0.304196 | + | 0.255250i | ||||
\(435\) | 3.55717 | + | 20.1737i | 0.170553 | + | 0.967257i | ||||
\(436\) | 8.84348 | 0.423526 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −6.33280 | −0.302593 | ||||||||
\(439\) | 5.35510 | + | 30.3703i | 0.255585 | + | 1.44949i | 0.794566 | + | 0.607177i | \(0.207698\pi\) |
−0.538981 | + | 0.842318i | \(0.681191\pi\) | |||||||
\(440\) | 10.3384 | − | 8.67499i | 0.492866 | − | 0.413564i | ||||
\(441\) | 24.1577 | − | 8.79269i | 1.15037 | − | 0.418699i | ||||
\(442\) | −1.19697 | − | 0.435660i | −0.0569339 | − | 0.0207222i | ||||
\(443\) | 8.20026 | + | 6.88083i | 0.389606 | + | 0.326918i | 0.816460 | − | 0.577402i | \(-0.195934\pi\) |
−0.426854 | + | 0.904321i | \(0.640378\pi\) | |||||||
\(444\) | 5.55899 | − | 9.62845i | 0.263818 | − | 0.456946i | ||||
\(445\) | 17.6740 | + | 30.6123i | 0.837830 | + | 1.45116i | ||||
\(446\) | 1.54964 | − | 8.78842i | 0.0733774 | − | 0.416144i | ||||
\(447\) | 4.52789 | − | 25.6789i | 0.214162 | − | 1.21457i | ||||
\(448\) | 0.642040 | + | 1.11205i | 0.0303335 | + | 0.0525392i | ||||
\(449\) | 1.15781 | − | 2.00538i | 0.0546403 | − | 0.0946399i | −0.837411 | − | 0.546573i | \(-0.815932\pi\) |
0.892052 | + | 0.451933i | \(0.149265\pi\) | |||||||
\(450\) | −1.82923 | − | 1.53490i | −0.0862306 | − | 0.0723561i | ||||
\(451\) | −27.1383 | − | 9.87754i | −1.27789 | − | 0.465115i | ||||
\(452\) | −13.3908 | + | 4.87387i | −0.629852 | + | 0.229247i | ||||
\(453\) | 42.4221 | − | 35.5963i | 1.99316 | − | 1.67246i | ||||
\(454\) | −0.114572 | − | 0.649772i | −0.00537715 | − | 0.0304953i | ||||
\(455\) | −0.916079 | −0.0429465 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −0.0521810 | −0.00244092 | −0.00122046 | − | 0.999999i | \(-0.500388\pi\) | ||||
−0.00122046 | + | 0.999999i | \(0.500388\pi\) | |||||||
\(458\) | 1.21069 | + | 6.86616i | 0.0565718 | + | 0.320834i | ||||
\(459\) | −16.1633 | + | 13.5626i | −0.754436 | + | 0.633047i | ||||
\(460\) | −14.2696 | + | 5.19373i | −0.665326 | + | 0.242159i | ||||
\(461\) | −37.0916 | − | 13.5002i | −1.72753 | − | 0.628768i | −0.729077 | − | 0.684432i | \(-0.760050\pi\) |
−0.998450 | + | 0.0556634i | \(0.982273\pi\) | |||||||
\(462\) | −15.8179 | − | 13.2728i | −0.735913 | − | 0.617505i | ||||
\(463\) | 3.09528 | − | 5.36119i | 0.143850 | − | 0.249155i | −0.785093 | − | 0.619377i | \(-0.787385\pi\) |
0.928943 | + | 0.370222i | \(0.120718\pi\) | |||||||
\(464\) | −1.56378 | − | 2.70855i | −0.0725967 | − | 0.125741i | ||||
\(465\) | −7.32743 | + | 41.5559i | −0.339801 | + | 1.92711i | ||||
\(466\) | 5.14167 | − | 29.1599i | 0.238183 | − | 1.35080i | ||||
\(467\) | 10.4981 | + | 18.1832i | 0.485793 | + | 0.841418i | 0.999867 | − | 0.0163277i | \(-0.00519750\pi\) |
−0.514074 | + | 0.857746i | \(0.671864\pi\) | |||||||
\(468\) | 0.730921 | − | 1.26599i | 0.0337868 | − | 0.0585205i | ||||
\(469\) | −4.30924 | − | 3.61588i | −0.198982 | − | 0.166966i | ||||
\(470\) | 9.68178 | + | 3.52388i | 0.446587 | + | 0.162544i | ||||
\(471\) | 36.4043 | − | 13.2501i | 1.67742 | − | 0.610532i | ||||
\(472\) | 2.53848 | − | 2.13004i | 0.116843 | − | 0.0980430i | ||||
\(473\) | −0.988939 | − | 5.60855i | −0.0454715 | − | 0.257882i | ||||
\(474\) | −23.9596 | −1.10050 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −5.37540 | −0.246381 | ||||||||
\(477\) | −2.74520 | − | 15.5688i | −0.125694 | − | 0.712847i | ||||
\(478\) | 18.9239 | − | 15.8790i | 0.865559 | − | 0.726290i | ||||
\(479\) | −14.5868 | + | 5.30916i | −0.666487 | + | 0.242582i | −0.653035 | − | 0.757328i | \(-0.726504\pi\) |
−0.0134527 | + | 0.999910i | \(0.504282\pi\) | |||||||
\(480\) | 6.15482 | + | 2.24017i | 0.280928 | + | 0.102249i | ||||
\(481\) | −0.927666 | − | 0.778404i | −0.0422979 | − | 0.0354922i | ||||
\(482\) | −13.7793 | + | 23.8665i | −0.627631 | + | 1.08709i | ||||
\(483\) | 11.6169 | + | 20.1210i | 0.528586 | + | 0.915539i | ||||
\(484\) | 3.84353 | − | 21.7977i | 0.174706 | − | 0.990807i | ||||
\(485\) | 7.06462 | − | 40.0654i | 0.320788 | − | 1.81928i | ||||
\(486\) | 8.02431 | + | 13.8985i | 0.363990 | + | 0.630449i | ||||
\(487\) | −14.3033 | + | 24.7740i | −0.648143 | + | 1.12262i | 0.335423 | + | 0.942068i | \(0.391121\pi\) |
−0.983566 | + | 0.180549i | \(0.942213\pi\) | |||||||
\(488\) | 8.39696 | + | 7.04589i | 0.380113 | + | 0.318952i | ||||
\(489\) | 37.4070 | + | 13.6150i | 1.69160 | + | 0.615694i | ||||
\(490\) | 11.7895 | − | 4.29104i | 0.532597 | − | 0.193849i | ||||
\(491\) | −23.2486 | + | 19.5079i | −1.04919 | + | 0.880377i | −0.993008 | − | 0.118043i | \(-0.962338\pi\) |
−0.0561842 | + | 0.998420i | \(0.517893\pi\) | |||||||
\(492\) | −2.43386 | − | 13.8031i | −0.109727 | − | 0.622292i | ||||
\(493\) | 13.0926 | 0.589659 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −64.8373 | −2.91422 | ||||||||
\(496\) | −1.11872 | − | 6.34459i | −0.0502321 | − | 0.284880i | ||||
\(497\) | −4.34355 | + | 3.64467i | −0.194835 | + | 0.163486i | ||||
\(498\) | 25.6335 | − | 9.32982i | 1.14866 | − | 0.418079i | ||||
\(499\) | −8.24696 | − | 3.00165i | −0.369185 | − | 0.134372i | 0.150764 | − | 0.988570i | \(-0.451827\pi\) |
−0.519949 | + | 0.854198i | \(0.674049\pi\) | |||||||
\(500\) | 8.08754 | + | 6.78625i | 0.361686 | + | 0.303490i | ||||
\(501\) | −16.1891 | + | 28.0403i | −0.723275 | + | 1.25275i | ||||
\(502\) | −1.49428 | − | 2.58816i | −0.0666928 | − | 0.115515i | ||||
\(503\) | −3.66473 | + | 20.7837i | −0.163402 | + | 0.926700i | 0.787294 | + | 0.616577i | \(0.211481\pi\) |
−0.950697 | + | 0.310123i | \(0.899630\pi\) | |||||||
\(504\) | 1.07124 | − | 6.07528i | 0.0477167 | − | 0.270615i | ||||
\(505\) | 4.31011 | + | 7.46533i | 0.191798 | + | 0.332203i | ||||
\(506\) | −18.6410 | + | 32.2872i | −0.828695 | + | 1.43534i | ||||
\(507\) | 27.6222 | + | 23.1778i | 1.22674 | + | 1.02936i | ||||
\(508\) | 2.09565 | + | 0.762755i | 0.0929795 | + | 0.0338418i | ||||
\(509\) | 20.8811 | − | 7.60009i | 0.925537 | − | 0.336868i | 0.165098 | − | 0.986277i | \(-0.447206\pi\) |
0.760439 | + | 0.649409i | \(0.224984\pi\) | |||||||
\(510\) | −21.0040 | + | 17.6245i | −0.930074 | + | 0.780424i | ||||
\(511\) | 0.505467 | + | 2.86665i | 0.0223606 | + | 0.126813i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 14.1323 | 0.623347 | ||||||||
\(515\) | 7.74100 | + | 43.9014i | 0.341109 | + | 1.93453i | ||||
\(516\) | 2.11729 | − | 1.77662i | 0.0932087 | − | 0.0782114i | ||||
\(517\) | 23.7699 | − | 8.65154i | 1.04540 | − | 0.380494i | ||||
\(518\) | −4.80218 | − | 1.74785i | −0.210996 | − | 0.0767961i | ||||
\(519\) | 8.52485 | + | 7.15320i | 0.374199 | + | 0.313990i | ||||
\(520\) | 0.356707 | − | 0.617834i | 0.0156426 | − | 0.0270938i | ||||
\(521\) | 5.01661 | + | 8.68902i | 0.219782 | + | 0.380673i | 0.954741 | − | 0.297438i | \(-0.0961322\pi\) |
−0.734959 | + | 0.678111i | \(0.762799\pi\) | |||||||
\(522\) | −2.60915 | + | 14.7972i | −0.114199 | + | 0.647657i | ||||
\(523\) | −5.08482 | + | 28.8374i | −0.222343 | + | 1.26097i | 0.645356 | + | 0.763882i | \(0.276709\pi\) |
−0.867699 | + | 0.497090i | \(0.834402\pi\) | |||||||
\(524\) | −0.761327 | − | 1.31866i | −0.0332587 | − | 0.0576058i | ||||
\(525\) | −0.891491 | + | 1.54411i | −0.0389079 | + | 0.0673904i | ||||
\(526\) | −5.79809 | − | 4.86518i | −0.252809 | − | 0.212132i | ||||
\(527\) | 25.3429 | + | 9.22407i | 1.10396 | + | 0.401807i | ||||
\(528\) | 15.1108 | − | 5.49989i | 0.657614 | − | 0.239352i | ||||
\(529\) | 14.5161 | − | 12.1804i | 0.631134 | − | 0.529584i | ||||
\(530\) | −1.33972 | − | 7.59795i | −0.0581939 | − | 0.330034i | ||||
\(531\) | −15.9200 | −0.690870 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −1.52664 | −0.0661262 | ||||||||
\(534\) | 7.31369 | + | 41.4780i | 0.316494 | + | 1.79493i | ||||
\(535\) | 18.0274 | − | 15.1268i | 0.779395 | − | 0.653990i | ||||
\(536\) | 4.11662 | − | 1.49833i | 0.177811 | − | 0.0647178i | ||||
\(537\) | 22.1847 | + | 8.07457i | 0.957340 | + | 0.348443i | ||||
\(538\) | −5.87613 | − | 4.93066i | −0.253338 | − | 0.212576i | ||||
\(539\) | 15.4012 | − | 26.6756i | 0.663375 | − | 1.14900i | ||||
\(540\) | −5.90868 | − | 10.2341i | −0.254269 | − | 0.440407i | ||||
\(541\) | −6.57091 | + | 37.2655i | −0.282505 | + | 1.60217i | 0.431557 | + | 0.902086i | \(0.357964\pi\) |
−0.714062 | + | 0.700082i | \(0.753147\pi\) | |||||||
\(542\) | −2.02559 | + | 11.4877i | −0.0870064 | + | 0.493438i | ||||
\(543\) | −11.8522 | − | 20.5287i | −0.508628 | − | 0.880970i | ||||
\(544\) | 2.09310 | − | 3.62535i | 0.0897408 | − | 0.155436i | ||||
\(545\) | −15.8833 | − | 13.3277i | −0.680367 | − | 0.570896i | ||||
\(546\) | −1.02570 | − | 0.373323i | −0.0438958 | − | 0.0159768i | ||||
\(547\) | −13.6233 | + | 4.95846i | −0.582488 | + | 0.212008i | −0.616422 | − | 0.787416i | \(-0.711419\pi\) |
0.0339340 | + | 0.999424i | \(0.489196\pi\) | |||||||
\(548\) | 8.20568 | − | 6.88538i | 0.350529 | − | 0.294129i | ||||
\(549\) | −9.14454 | − | 51.8613i | −0.390280 | − | 2.21339i | ||||
\(550\) | −2.86106 | −0.121996 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −18.0937 | −0.770120 | ||||||||
\(553\) | 1.91239 | + | 10.8457i | 0.0813231 | + | 0.461206i | ||||
\(554\) | −21.0206 | + | 17.6384i | −0.893081 | + | 0.749384i | ||||
\(555\) | −24.4949 | + | 8.91542i | −1.03975 | + | 0.378439i | ||||
\(556\) | 10.1622 | + | 3.69872i | 0.430971 | + | 0.156861i | ||||
\(557\) | −3.32311 | − | 2.78842i | −0.140805 | − | 0.118149i | 0.569665 | − | 0.821877i | \(-0.307073\pi\) |
−0.710470 | + | 0.703728i | \(0.751517\pi\) | |||||||
\(558\) | −15.4755 | + | 26.8044i | −0.655131 | + | 1.13472i | ||||
\(559\) | −0.150525 | − | 0.260717i | −0.00636654 | − | 0.0110272i | ||||
\(560\) | 0.522789 | − | 2.96488i | 0.0220919 | − | 0.125289i | ||||
\(561\) | −11.6894 | + | 66.2937i | −0.493526 | + | 2.79892i | ||||
\(562\) | −8.13574 | − | 14.0915i | −0.343185 | − | 0.594415i | ||||
\(563\) | −13.6468 | + | 23.6370i | −0.575144 | + | 0.996179i | 0.420882 | + | 0.907116i | \(0.361721\pi\) |
−0.996026 | + | 0.0890637i | \(0.971613\pi\) | |||||||
\(564\) | 9.40424 | + | 7.89109i | 0.395990 | + | 0.332275i | ||||
\(565\) | 31.3959 | + | 11.4272i | 1.32083 | + | 0.480744i | ||||
\(566\) | 3.18907 | − | 1.16073i | 0.134047 | − | 0.0487890i | ||||
\(567\) | 0.326664 | − | 0.274104i | 0.0137186 | − | 0.0115113i | ||||
\(568\) | −0.766777 | − | 4.34861i | −0.0321733 | − | 0.182464i | ||||
\(569\) | 7.19043 | 0.301439 | 0.150719 | − | 0.988577i | \(-0.451841\pi\) | ||||
0.150719 | + | 0.988577i | \(0.451841\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 42.0134 | 1.75821 | 0.879103 | − | 0.476631i | \(-0.158142\pi\) | ||||
0.879103 | + | 0.476631i | \(0.158142\pi\) | |||||||
\(572\) | −0.304147 | − | 1.72491i | −0.0127170 | − | 0.0721219i | ||||
\(573\) | 47.8917 | − | 40.1859i | 2.00070 | − | 1.67879i | ||||
\(574\) | −6.05394 | + | 2.20345i | −0.252686 | + | 0.0919703i | ||||
\(575\) | 3.02510 | + | 1.10104i | 0.126155 | + | 0.0459168i | ||||
\(576\) | 3.68025 | + | 3.08810i | 0.153344 | + | 0.128671i | ||||
\(577\) | −10.8357 | + | 18.7679i | −0.451095 | + | 0.781319i | −0.998454 | − | 0.0555783i | \(-0.982300\pi\) |
0.547359 | + | 0.836898i | \(0.315633\pi\) | |||||||
\(578\) | 0.262102 | + | 0.453974i | 0.0109020 | + | 0.0188828i | ||||
\(579\) | 3.60341 | − | 20.4360i | 0.149753 | − | 0.849289i | ||||
\(580\) | −1.27333 | + | 7.22140i | −0.0528721 | + | 0.299852i | ||||
\(581\) | −6.26929 | − | 10.8587i | −0.260094 | − | 0.450496i | ||||
\(582\) | 24.2376 | − | 41.9807i | 1.00468 | − | 1.74016i | ||||
\(583\) | −14.5101 | − | 12.1755i | −0.600949 | − | 0.504256i | ||||
\(584\) | −2.13018 | − | 0.775323i | −0.0881476 | − | 0.0320831i | ||||
\(585\) | −3.22070 | + | 1.17224i | −0.133160 | + | 0.0484662i | ||||
\(586\) | 17.9088 | − | 15.0273i | 0.739807 | − | 0.620771i | ||||
\(587\) | −0.220298 | − | 1.24937i | −0.00909267 | − | 0.0515671i | 0.979924 | − | 0.199372i | \(-0.0638903\pi\) |
−0.989017 | + | 0.147805i | \(0.952779\pi\) | |||||||
\(588\) | 14.9490 | 0.616485 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −7.76934 | −0.319859 | ||||||||
\(591\) | −4.14063 | − | 23.4827i | −0.170323 | − | 0.965948i | ||||
\(592\) | 3.04870 | − | 2.55816i | 0.125301 | − | 0.105140i | ||||
\(593\) | −20.2598 | + | 7.37395i | −0.831969 | + | 0.302812i | −0.722667 | − | 0.691197i | \(-0.757084\pi\) |
−0.109302 | + | 0.994009i | \(0.534862\pi\) | |||||||
\(594\) | −27.2633 | − | 9.92304i | −1.11863 | − | 0.407147i | ||||
\(595\) | 9.65449 | + | 8.10108i | 0.395795 | + | 0.332112i | ||||
\(596\) | 4.66692 | − | 8.08334i | 0.191165 | − | 0.331107i | ||||
\(597\) | −8.88262 | − | 15.3852i | −0.363542 | − | 0.629672i | ||||
\(598\) | −0.342224 | + | 1.94085i | −0.0139946 | + | 0.0793671i | ||||
\(599\) | 4.97359 | − | 28.2066i | 0.203215 | − | 1.15249i | −0.697008 | − | 0.717063i | \(-0.745486\pi\) |
0.900224 | − | 0.435428i | \(-0.143403\pi\) | |||||||
\(600\) | −0.694265 | − | 1.20250i | −0.0283433 | − | 0.0490920i | ||||
\(601\) | 3.77932 | − | 6.54598i | 0.154162 | − | 0.267016i | −0.778592 | − | 0.627531i | \(-0.784066\pi\) |
0.932754 | + | 0.360515i | \(0.117399\pi\) | |||||||
\(602\) | −0.973214 | − | 0.816623i | −0.0396652 | − | 0.0332831i | ||||
\(603\) | −19.7772 | − | 7.19830i | −0.805388 | − | 0.293137i | ||||
\(604\) | 18.6277 | − | 6.77992i | 0.757950 | − | 0.275871i | ||||
\(605\) | −39.7538 | + | 33.3574i | −1.61622 | + | 1.35617i | ||||
\(606\) | 1.78357 | + | 10.1151i | 0.0724525 | + | 0.410898i | ||||
\(607\) | −1.72737 | −0.0701117 | −0.0350558 | − | 0.999385i | \(-0.511161\pi\) | ||||
−0.0350558 | + | 0.999385i | \(0.511161\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 11.2192 | 0.454625 | ||||||||
\(610\) | −4.46275 | − | 25.3095i | −0.180692 | − | 1.02475i | ||||
\(611\) | 1.02432 | − | 0.859507i | 0.0414396 | − | 0.0347719i | ||||
\(612\) | −18.8985 | + | 6.87851i | −0.763928 | + | 0.278047i | ||||
\(613\) | 25.7635 | + | 9.37714i | 1.04058 | + | 0.378739i | 0.805099 | − | 0.593140i | \(-0.202112\pi\) |
0.235479 | + | 0.971880i | \(0.424334\pi\) | |||||||
\(614\) | −1.06329 | − | 0.892202i | −0.0429107 | − | 0.0360064i | ||||
\(615\) | −16.4308 | + | 28.4590i | −0.662555 | + | 1.14758i | ||||
\(616\) | −3.69572 | − | 6.40117i | −0.148905 | − | 0.257911i | ||||
\(617\) | 1.84545 | − | 10.4660i | 0.0742949 | − | 0.421347i | −0.924862 | − | 0.380302i | \(-0.875820\pi\) |
0.999157 | − | 0.0410453i | \(-0.0130688\pi\) | |||||||
\(618\) | −9.22354 | + | 52.3093i | −0.371025 | + | 2.10419i | ||||
\(619\) | −4.18004 | − | 7.24004i | −0.168010 | − | 0.291002i | 0.769710 | − | 0.638394i | \(-0.220401\pi\) |
−0.937720 | + | 0.347392i | \(0.887067\pi\) | |||||||
\(620\) | −7.55242 | + | 13.0812i | −0.303313 | + | 0.525353i | ||||
\(621\) | 25.0076 | + | 20.9839i | 1.00352 | + | 0.842055i | ||||
\(622\) | −11.4551 | − | 4.16931i | −0.459307 | − | 0.167174i | ||||
\(623\) | 18.1919 | − | 6.62132i | 0.728845 | − | 0.265278i | ||||
\(624\) | 0.651172 | − | 0.546398i | 0.0260677 | − | 0.0218734i | ||||
\(625\) | −4.72985 | − | 26.8243i | −0.189194 | − | 1.07297i | ||||
\(626\) | −16.5314 | −0.660728 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 13.8676 | 0.553379 | ||||||||
\(629\) | 2.89301 | + | 16.4071i | 0.115352 | + | 0.654193i | ||||
\(630\) | −11.0798 | + | 9.29709i | −0.441431 | + | 0.370405i | ||||
\(631\) | −23.0508 | + | 8.38980i | −0.917638 | + | 0.333993i | −0.757298 | − | 0.653069i | \(-0.773481\pi\) |
−0.160339 | + | 0.987062i | \(0.551259\pi\) | |||||||
\(632\) | −8.05936 | − | 2.93337i | −0.320584 | − | 0.116683i | ||||
\(633\) | −29.8700 | − | 25.0639i | −1.18723 | − | 0.996202i | ||||
\(634\) | −1.34406 | + | 2.32797i | −0.0533793 | + | 0.0924557i | ||||
\(635\) | −2.61437 | − | 4.52823i | −0.103748 | − | 0.179697i | ||||
\(636\) | 1.59631 | − | 9.05310i | 0.0632976 | − | 0.358979i | ||||
\(637\) | 0.282744 | − | 1.60352i | 0.0112027 | − | 0.0635338i | ||||
\(638\) | 9.00145 | + | 15.5910i | 0.356371 | + | 0.617253i | ||||
\(639\) | −10.6070 | + | 18.3719i | −0.419606 | + | 0.726780i | ||||
\(640\) | 1.79605 | + | 1.50706i | 0.0709951 | + | 0.0595720i | ||||
\(641\) | −6.55220 | − | 2.38480i | −0.258796 | − | 0.0941941i | 0.209364 | − | 0.977838i | \(-0.432861\pi\) |
−0.468160 | + | 0.883644i | \(0.655083\pi\) | |||||||
\(642\) | 26.3492 | − | 9.59031i | 1.03992 | − | 0.378499i | ||||
\(643\) | −6.96353 | + | 5.84309i | −0.274615 | + | 0.230429i | −0.769685 | − | 0.638424i | \(-0.779587\pi\) |
0.495070 | + | 0.868853i | \(0.335142\pi\) | |||||||
\(644\) | 1.44419 | + | 8.19042i | 0.0569091 | + | 0.322748i | ||||
\(645\) | −6.48025 | −0.255160 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 30.0074 | 1.17971 | 0.589856 | − | 0.807509i | \(-0.299185\pi\) | ||||
0.589856 | + | 0.807509i | \(0.299185\pi\) | |||||||
\(648\) | 0.0576668 | + | 0.327045i | 0.00226537 | + | 0.0128475i | ||||
\(649\) | −14.6120 | + | 12.2610i | −0.573573 | + | 0.481285i | ||||
\(650\) | −0.142119 | + | 0.0517272i | −0.00557438 | + | 0.00202891i | ||||
\(651\) | 21.7167 | + | 7.90424i | 0.851146 | + | 0.309792i | ||||
\(652\) | 10.9158 | + | 9.15946i | 0.427497 | + | 0.358712i | ||||
\(653\) | −5.20956 | + | 9.02323i | −0.203866 | + | 0.353106i | −0.949771 | − | 0.312946i | \(-0.898684\pi\) |
0.745905 | + | 0.666053i | \(0.232017\pi\) | |||||||
\(654\) | −12.3526 | − | 21.3953i | −0.483025 | − | 0.836623i | ||||
\(655\) | −0.619920 | + | 3.51574i | −0.0242223 | + | 0.137371i | ||||
\(656\) | 0.871225 | − | 4.94096i | 0.0340156 | − | 0.192912i | ||||
\(657\) | 5.44533 | + | 9.43159i | 0.212443 | + | 0.367962i | ||||
\(658\) | 2.82141 | − | 4.88683i | 0.109990 | − | 0.190508i | ||||
\(659\) | 20.2049 | + | 16.9539i | 0.787071 | + | 0.660431i | 0.945019 | − | 0.327017i | \(-0.106043\pi\) |
−0.157948 | + | 0.987447i | \(0.550488\pi\) | |||||||
\(660\) | −35.4285 | − | 12.8949i | −1.37905 | − | 0.501933i | ||||
\(661\) | −23.2047 | + | 8.44583i | −0.902559 | + | 0.328505i | −0.751278 | − | 0.659986i | \(-0.770562\pi\) |
−0.151281 | + | 0.988491i | \(0.548340\pi\) | |||||||
\(662\) | 3.99341 | − | 3.35087i | 0.155208 | − | 0.130235i | ||||
\(663\) | 0.617919 | + | 3.50439i | 0.0239980 | + | 0.136099i | ||||
\(664\) | 9.76464 | 0.378942 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −19.1198 | −0.740879 | ||||||||
\(667\) | −3.51754 | − | 19.9489i | −0.136200 | − | 0.772426i | ||||
\(668\) | −8.87854 | + | 7.44998i | −0.343521 | + | 0.288248i | ||||
\(669\) | −23.4267 | + | 8.52660i | −0.905727 | + | 0.329658i | ||||
\(670\) | −9.65173 | − | 3.51294i | −0.372879 | − | 0.135717i | ||||
\(671\) | −48.3347 | − | 40.5577i | −1.86594 | − | 1.56571i | ||||
\(672\) | 1.79360 | − | 3.10661i | 0.0691898 | − | 0.119840i | ||||
\(673\) | −4.88690 | − | 8.46436i | −0.188376 | − | 0.326277i | 0.756333 | − | 0.654187i | \(-0.226989\pi\) |
−0.944709 | + | 0.327910i | \(0.893656\pi\) | |||||||
\(674\) | −4.64118 | + | 26.3214i | −0.178771 | + | 1.01386i | ||||
\(675\) | −0.435027 | + | 2.46716i | −0.0167442 | + | 0.0949611i | ||||
\(676\) | 6.45371 | + | 11.1781i | 0.248219 | + | 0.429929i | ||||
\(677\) | −10.7874 | + | 18.6843i | −0.414592 | + | 0.718094i | −0.995386 | − | 0.0959565i | \(-0.969409\pi\) |
0.580794 | + | 0.814051i | \(0.302742\pi\) | |||||||
\(678\) | 30.4959 | + | 25.5891i | 1.17119 | + | 0.982742i | ||||
\(679\) | −20.9378 | − | 7.62075i | −0.803520 | − | 0.292457i | ||||
\(680\) | −9.22294 | + | 3.35688i | −0.353684 | + | 0.128730i | ||||
\(681\) | −1.41198 | + | 1.18479i | −0.0541072 | + | 0.0454013i | ||||
\(682\) | 6.43960 | + | 36.5208i | 0.246585 | + | 1.39845i | ||||
\(683\) | −33.2509 | −1.27231 | −0.636155 | − | 0.771561i | \(-0.719476\pi\) | ||||
−0.636155 | + | 0.771561i | \(0.719476\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −25.1145 | −0.959576 | ||||||||
\(686\) | −2.75403 | − | 15.6189i | −0.105149 | − | 0.596332i | ||||
\(687\) | 14.9204 | − | 12.5197i | 0.569250 | − | 0.477657i | ||||
\(688\) | 0.929712 | − | 0.338387i | 0.0354449 | − | 0.0129009i | ||||
\(689\) | −0.940900 | − | 0.342460i | −0.0358454 | − | 0.0130467i | ||||
\(690\) | 32.4972 | + | 27.2684i | 1.23715 | + | 1.03809i | ||||
\(691\) | −2.40466 | + | 4.16500i | −0.0914776 | + | 0.158444i | −0.908133 | − | 0.418682i | \(-0.862492\pi\) |
0.816655 | + | 0.577126i | \(0.195826\pi\) | |||||||
\(692\) | 1.99176 | + | 3.44983i | 0.0757155 | + | 0.131143i | ||||
\(693\) | −6.16627 | + | 34.9706i | −0.234237 | + | 1.32843i | ||||
\(694\) | 5.67277 | − | 32.1719i | 0.215335 | − | 1.22123i | ||||
\(695\) | −12.6775 | − | 21.9581i | −0.480886 | − | 0.832919i | ||||
\(696\) | −4.36858 | + | 7.56661i | −0.165591 | + | 0.286811i | ||||
\(697\) | 16.0892 | + | 13.5004i | 0.609420 | + | 0.511364i | ||||
\(698\) | −27.3505 | − | 9.95476i | −1.03523 | − | 0.376793i | ||||
\(699\) | −77.7293 | + | 28.2911i | −2.93999 | + | 1.07007i | ||||
\(700\) | −0.488918 | + | 0.410251i | −0.0184794 | + | 0.0155060i | ||||
\(701\) | 0.601633 | + | 3.41203i | 0.0227234 | + | 0.128871i | 0.994059 | − | 0.108841i | \(-0.0347139\pi\) |
−0.971336 | + | 0.237711i | \(0.923603\pi\) | |||||||
\(702\) | −1.53367 | −0.0578848 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 5.75621 | 0.216946 | ||||||||
\(705\) | −4.99809 | − | 28.3456i | −0.188239 | − | 1.06756i | ||||
\(706\) | 10.9582 | − | 9.19500i | 0.412416 | − | 0.346058i | ||||
\(707\) | 4.43641 | − | 1.61472i | 0.166848 | − | 0.0607279i | ||||
\(708\) | −8.69903 | − | 3.16619i | −0.326929 | − | 0.118993i | ||||
\(709\) | 15.7608 | + | 13.2249i | 0.591910 | + | 0.496672i | 0.888834 | − | 0.458230i | \(-0.151516\pi\) |
−0.296924 | + | 0.954901i | \(0.595961\pi\) | |||||||
\(710\) | −5.17647 | + | 8.96591i | −0.194269 | + | 0.336484i | ||||
\(711\) | 20.6019 | + | 35.6836i | 0.772633 | + | 1.33824i | ||||
\(712\) | −2.61801 | + | 14.8475i | −0.0981142 | + | 0.556433i | ||||
\(713\) | 7.24578 | − | 41.0929i | 0.271357 | − | 1.53894i | ||||
\(714\) | 7.50837 | + | 13.0049i | 0.280994 | + | 0.486696i | ||||
\(715\) | −2.05328 | + | 3.55639i | −0.0767884 | + | 0.133001i | ||||
\(716\) | 6.47376 | + | 5.43213i | 0.241936 | + | 0.203008i | ||||
\(717\) | −64.8496 | − | 23.6033i | −2.42185 | − | 0.881482i | ||||
\(718\) | 18.4844 | − | 6.72778i | 0.689832 | − | 0.251078i | ||||
\(719\) | 18.5295 | − | 15.5481i | 0.691034 | − | 0.579846i | −0.228173 | − | 0.973621i | \(-0.573275\pi\) |
0.919207 | + | 0.393774i | \(0.128831\pi\) | |||||||
\(720\) | −1.95595 | − | 11.0928i | −0.0728940 | − | 0.413402i | ||||
\(721\) | 24.4149 | 0.909257 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 76.9880 | 2.86321 | ||||||||
\(724\) | −1.47345 | − | 8.35635i | −0.0547604 | − | 0.310561i | ||||
\(725\) | 1.19083 | − | 0.999226i | 0.0442263 | − | 0.0371103i | ||||
\(726\) | −58.1046 | + | 21.1484i | −2.15647 | + | 0.784889i | ||||
\(727\) | −17.0344 | − | 6.20001i | −0.631771 | − | 0.229946i | 0.00623100 | − | 0.999981i | \(-0.498017\pi\) |
−0.638002 | + | 0.770035i | \(0.720239\pi\) | |||||||
\(728\) | −0.299311 | − | 0.251152i | −0.0110932 | − | 0.00930830i | ||||
\(729\) | 21.9186 | − | 37.9641i | 0.811800 | − | 1.40608i | ||||
\(730\) | 2.65745 | + | 4.60284i | 0.0983567 | + | 0.170359i | ||||
\(731\) | −0.719204 | + | 4.07881i | −0.0266007 | + | 0.150860i | ||||
\(732\) | 5.31745 | − | 30.1568i | 0.196539 | − | 1.11463i | ||||
\(733\) | −11.3682 | − | 19.6902i | −0.419893 | − | 0.727275i | 0.576036 | − | 0.817425i | \(-0.304599\pi\) |
−0.995928 | + | 0.0901491i | \(0.971266\pi\) | |||||||
\(734\) | 4.77527 | − | 8.27100i | 0.176258 | − | 0.305288i | ||||
\(735\) | −26.8491 | − | 22.5291i | −0.990344 | − | 0.830997i | ||||
\(736\) | −6.08623 | − | 2.21521i | −0.224342 | − | 0.0816537i | ||||
\(737\) | −23.6961 | + | 8.62469i | −0.872858 | + | 0.317695i | ||||
\(738\) | −18.4645 | + | 15.4936i | −0.679688 | + | 0.570326i | ||||
\(739\) | 2.63575 | + | 14.9481i | 0.0969575 | + | 0.549873i | 0.994130 | + | 0.108193i | \(0.0345064\pi\) |
−0.897172 | + | 0.441680i | \(0.854383\pi\) | |||||||
\(740\) | −9.33094 | −0.343012 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.22545 | −0.155121 | ||||||||
\(743\) | 0.568915 | + | 3.22648i | 0.0208715 | + | 0.118368i | 0.993463 | − | 0.114150i | \(-0.0364146\pi\) |
−0.972592 | + | 0.232518i | \(0.925303\pi\) | |||||||
\(744\) | −13.7870 | + | 11.5687i | −0.505457 | + | 0.424129i | ||||
\(745\) | −20.5641 | + | 7.48474i | −0.753412 | + | 0.274220i | ||||
\(746\) | −3.42058 | − | 1.24499i | −0.125236 | − | 0.0455823i | ||||
\(747\) | −35.9363 | − | 30.1542i | −1.31484 | − | 1.10328i | ||||
\(748\) | −12.0483 | + | 20.8683i | −0.440530 | + | 0.763020i | ||||
\(749\) | −6.44433 | − | 11.1619i | −0.235471 | − | 0.407847i | ||||
\(750\) | 5.12151 | − | 29.0455i | 0.187011 | − | 1.06059i | ||||
\(751\) | −9.07005 | + | 51.4388i | −0.330971 | + | 1.87703i | 0.132907 | + | 0.991129i | \(0.457569\pi\) |
−0.463877 | + | 0.885899i | \(0.653542\pi\) | |||||||
\(752\) | 2.19723 | + | 3.80571i | 0.0801246 | + | 0.138780i | ||||
\(753\) | −4.17442 | + | 7.23030i | −0.152124 | + | 0.263487i | ||||
\(754\) | 0.729015 | + | 0.611716i | 0.0265492 | + | 0.0222774i | ||||
\(755\) | −43.6740 | − | 15.8960i | −1.58946 | − | 0.578516i | ||||
\(756\) | −6.08182 | + | 2.21360i | −0.221194 | + | 0.0805079i | ||||
\(757\) | −18.5645 | + | 15.5774i | −0.674737 | + | 0.566172i | −0.914463 | − | 0.404669i | \(-0.867387\pi\) |
0.239726 | + | 0.970841i | \(0.422942\pi\) | |||||||
\(758\) | 1.44951 | + | 8.22060i | 0.0526487 | + | 0.298585i | ||||
\(759\) | 104.151 | 3.78045 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −24.8054 | −0.899195 | −0.449597 | − | 0.893231i | \(-0.648433\pi\) | ||||
−0.449597 | + | 0.893231i | \(0.648433\pi\) | |||||||
\(762\) | −1.08185 | − | 6.13550i | −0.0391914 | − | 0.222266i | ||||
\(763\) | −8.69899 | + | 7.29932i | −0.314925 | + | 0.264253i | ||||
\(764\) | 21.0294 | − | 7.65408i | 0.760817 | − | 0.276915i | ||||
\(765\) | 44.3091 | + | 16.1272i | 1.60200 | + | 0.583080i | ||||
\(766\) | −7.26644 | − | 6.09727i | −0.262547 | − | 0.220303i | ||||
\(767\) | −0.504158 | + | 0.873228i | −0.0182041 | + | 0.0315304i | ||||
\(768\) | 1.39680 | + | 2.41933i | 0.0504028 | + | 0.0873001i | ||||
\(769\) | 1.67447 | − | 9.49640i | 0.0603830 | − | 0.342449i | −0.939617 | − | 0.342228i | \(-0.888819\pi\) |
1.00000 | 0.000221010i | \(-7.03495e-5\pi\) | ||||||||
\(770\) | −3.00929 | + | 17.0665i | −0.108447 | + | 0.615034i | ||||
\(771\) | −19.7400 | − | 34.1906i | −0.710918 | − | 1.23135i | ||||
\(772\) | 3.71406 | − | 6.43293i | 0.133672 | − | 0.231526i | ||||
\(773\) | −0.986137 | − | 0.827468i | −0.0354689 | − | 0.0297619i | 0.624881 | − | 0.780720i | \(-0.285148\pi\) |
−0.660350 | + | 0.750958i | \(0.729592\pi\) | |||||||
\(774\) | −4.46654 | − | 1.62569i | −0.160547 | − | 0.0584342i | ||||
\(775\) | 3.00904 | − | 1.09520i | 0.108088 | − | 0.0393408i | ||||
\(776\) | 13.2925 | − | 11.1538i | 0.477174 | − | 0.400397i | ||||
\(777\) | 2.47906 | + | 14.0595i | 0.0889359 | + | 0.504381i | ||||
\(778\) | −36.0480 | −1.29238 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −1.99300 | −0.0713607 | ||||||||
\(781\) | 4.41374 | + | 25.0315i | 0.157936 | + | 0.895699i | ||||
\(782\) | 20.7700 | − | 17.4281i | 0.742733 | − | 0.623227i | ||||
\(783\) | 14.8131 | − | 5.39154i | 0.529379 | − | 0.192678i | ||||
\(784\) | 5.02843 | + | 1.83020i | 0.179587 | + | 0.0653642i | ||||
\(785\) | −24.9070 | − | 20.8994i | −0.888967 | − | 0.745932i | ||||
\(786\) | −2.12685 | + | 3.68381i | −0.0758621 | + | 0.131397i | ||||
\(787\) | −8.17232 | − | 14.1549i | −0.291312 | − | 0.504567i | 0.682808 | − | 0.730598i | \(-0.260758\pi\) |
−0.974120 | + | 0.226031i | \(0.927425\pi\) | |||||||
\(788\) | 1.48218 | − | 8.40586i | 0.0528005 | − | 0.299447i | ||||
\(789\) | −3.67169 | + | 20.8232i | −0.130716 | + | 0.741326i | ||||
\(790\) | 10.0542 | + | 17.4144i | 0.357714 | + | 0.619578i | ||||
\(791\) | 9.14922 | − | 15.8469i | 0.325309 | − | 0.563451i | ||||
\(792\) | −21.1843 | − | 17.7758i | −0.752752 | − | 0.631634i | ||||
\(793\) | −3.13423 | − | 1.14077i | −0.111300 | − | 0.0405098i | ||||
\(794\) | −6.02255 | + | 2.19203i | −0.213732 | + | 0.0777922i | ||||
\(795\) | −16.5106 | + | 13.8541i | −0.585572 | + | 0.491354i | ||||
\(796\) | −1.10427 | − | 6.26264i | −0.0391399 | − | 0.221974i | ||||
\(797\) | 15.6884 | 0.555712 | 0.277856 | − | 0.960623i | \(-0.410376\pi\) | ||||
0.277856 | + | 0.960623i | \(0.410376\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −18.3960 | −0.650804 | ||||||||
\(800\) | −0.0863099 | − | 0.489488i | −0.00305152 | − | 0.0173060i | ||||
\(801\) | 55.4854 | − | 46.5578i | 1.96048 | − | 1.64504i | ||||
\(802\) | −0.176343 | + | 0.0641834i | −0.00622687 | + | 0.00226640i | ||||
\(803\) | 12.2618 | + | 4.46293i | 0.432709 | + | 0.157493i | ||||
\(804\) | −9.37505 | − | 7.86660i | −0.330633 | − | 0.277434i | ||||
\(805\) | 9.74965 | − | 16.8869i | 0.343630 | − | 0.595185i | ||||
\(806\) | 0.980164 | + | 1.69769i | 0.0345248 | + | 0.0597987i | ||||
\(807\) | −3.72111 | + | 21.1035i | −0.130989 | + | 0.742877i | ||||
\(808\) | −0.638446 | + | 3.62081i | −0.0224605 | + | 0.127380i | ||||
\(809\) | 5.76242 | + | 9.98080i | 0.202596 | + | 0.350906i | 0.949364 | − | 0.314178i | \(-0.101729\pi\) |
−0.746768 | + | 0.665084i | \(0.768396\pi\) | |||||||
\(810\) | 0.389305 | − | 0.674297i | 0.0136788 | − | 0.0236924i | ||||
\(811\) | 6.35895 | + | 5.33579i | 0.223293 | + | 0.187365i | 0.747571 | − | 0.664182i | \(-0.231220\pi\) |
−0.524278 | + | 0.851547i | \(0.675665\pi\) | |||||||
\(812\) | 3.77384 | + | 1.37356i | 0.132436 | + | 0.0482027i | ||||
\(813\) | 30.6219 | − | 11.1454i | 1.07396 | − | 0.390888i | ||||
\(814\) | −17.5490 | + | 14.7253i | −0.615091 | + | 0.516123i | ||||
\(815\) | −5.80146 | − | 32.9017i | −0.203216 | − | 1.15250i | ||||
\(816\) | −11.6946 | −0.409392 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 17.2663 | 0.603701 | ||||||||
\(819\) | 0.325959 | + | 1.84860i | 0.0113899 | + | 0.0645954i | ||||
\(820\) | −9.01112 | + | 7.56122i | −0.314682 | + | 0.264049i | ||||
\(821\) | 31.6782 | − | 11.5299i | 1.10558 | − | 0.402397i | 0.276208 | − | 0.961098i | \(-0.410922\pi\) |
0.829369 | + | 0.558701i | \(0.188700\pi\) | |||||||
\(822\) | −28.1197 | − | 10.2347i | −0.980788 | − | 0.356978i | ||||
\(823\) | 16.7517 | + | 14.0563i | 0.583927 | + | 0.489973i | 0.886234 | − | 0.463238i | \(-0.153312\pi\) |
−0.302307 | + | 0.953211i | \(0.597757\pi\) | |||||||
\(824\) | −9.50676 | + | 16.4662i | −0.331184 | + | 0.573627i | ||||
\(825\) | 3.99634 | + | 6.92186i | 0.139135 | + | 0.240988i | ||||
\(826\) | −0.738894 | + | 4.19047i | −0.0257094 | + | 0.145805i | ||||
\(827\) | −6.80171 | + | 38.5744i | −0.236519 | + | 1.34136i | 0.602873 | + | 0.797837i | \(0.294023\pi\) |
−0.839392 | + | 0.543527i | \(0.817089\pi\) | |||||||
\(828\) | 15.5581 | + | 26.9474i | 0.540681 | + | 0.936487i | ||||
\(829\) | −7.20878 | + | 12.4860i | −0.250371 | + | 0.433656i | −0.963628 | − | 0.267247i | \(-0.913886\pi\) |
0.713257 | + | 0.700903i | \(0.247219\pi\) | |||||||
\(830\) | −17.5378 | − | 14.7160i | −0.608745 | − | 0.510798i | ||||
\(831\) | 72.0348 | + | 26.2185i | 2.49886 | + | 0.909511i | ||||
\(832\) | 0.285932 | − | 0.104071i | 0.00991291 | − | 0.00360800i | ||||
\(833\) | −17.1601 | + | 14.3990i | −0.594562 | + | 0.498897i | ||||
\(834\) | −5.24608 | − | 29.7520i | −0.181657 | − | 1.03023i | ||||
\(835\) | 27.1739 | 0.940392 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 32.4719 | 1.12239 | ||||||||
\(838\) | 0.299668 | + | 1.69950i | 0.0103518 | + | 0.0587082i | ||||
\(839\) | −16.0511 | + | 13.4685i | −0.554145 | + | 0.464983i | −0.876342 | − | 0.481690i | \(-0.840023\pi\) |
0.322197 | + | 0.946673i | \(0.395579\pi\) | |||||||
\(840\) | −7.90327 | + | 2.87656i | −0.272689 | + | 0.0992506i | ||||
\(841\) | 18.0594 | + | 6.57307i | 0.622737 | + | 0.226658i | ||||
\(842\) | 25.0914 | + | 21.0542i | 0.864708 | + | 0.725576i | ||||
\(843\) | −22.7280 | + | 39.3661i | −0.782795 | + | 1.35584i | ||||
\(844\) | −6.97890 | − | 12.0878i | −0.240224 | − | 0.416079i | ||||
\(845\) | 5.25501 | − | 29.8027i | 0.180778 | − | 1.02524i | ||||
\(846\) | 3.66605 | − | 20.7912i | 0.126041 | − | 0.714816i | ||||
\(847\) | 14.2109 | + | 24.6140i | 0.488293 | + | 0.845748i | ||||
\(848\) | 1.64532 | − | 2.84978i | 0.0565006 | − | 0.0978619i | ||||
\(849\) | −7.26269 | − | 6.09412i | −0.249255 | − | 0.209150i | ||||
\(850\) | 1.95522 | + | 0.711642i | 0.0670635 | + | 0.0244091i | ||||
\(851\) | 24.2220 | − | 8.81608i | 0.830319 | − | 0.302211i | ||||
\(852\) | −9.44970 | + | 7.92924i | −0.323741 | + | 0.271651i | ||||
\(853\) | 9.02194 | + | 51.1660i | 0.308906 | + | 1.75189i | 0.604527 | + | 0.796585i | \(0.293362\pi\) |
−0.295621 | + | 0.955305i | \(0.595527\pi\) | |||||||
\(854\) | −14.0754 | −0.481650 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0373 | 0.343067 | ||||||||
\(857\) | −5.06765 | − | 28.7401i | −0.173108 | − | 0.981743i | −0.940305 | − | 0.340332i | \(-0.889461\pi\) |
0.767198 | − | 0.641411i | \(-0.221651\pi\) | |||||||
\(858\) | −3.74829 | + | 3.14519i | −0.127964 | + | 0.107375i | ||||
\(859\) | −20.6651 | + | 7.52148i | −0.705084 | + | 0.256630i | −0.669580 | − | 0.742740i | \(-0.733526\pi\) |
−0.0355042 | + | 0.999370i | \(0.511304\pi\) | |||||||
\(860\) | −2.17978 | − | 0.793375i | −0.0743299 | − | 0.0270539i | ||||
\(861\) | 13.7870 | + | 11.5687i | 0.469861 | + | 0.394260i | ||||
\(862\) | 12.7560 | − | 22.0940i | 0.434470 | − | 0.752524i | ||||
\(863\) | −17.9079 | − | 31.0173i | −0.609590 | − | 1.05584i | −0.991308 | − | 0.131562i | \(-0.958001\pi\) |
0.381717 | − | 0.924279i | \(-0.375333\pi\) | |||||||
\(864\) | 0.875238 | − | 4.96372i | 0.0297762 | − | 0.168869i | ||||
\(865\) | 1.62182 | − | 9.19779i | 0.0551435 | − | 0.312734i | ||||
\(866\) | −12.2417 | − | 21.2032i | −0.415990 | − | 0.720516i | ||||
\(867\) | 0.732209 | − | 1.26822i | 0.0248671 | − | 0.0430711i | ||||
\(868\) | 6.33720 | + | 5.31755i | 0.215099 | + | 0.180489i | ||||
\(869\) | 46.3914 | + | 16.8851i | 1.57372 | + | 0.572787i | ||||
\(870\) | 19.2496 | − | 7.00627i | 0.652621 | − | 0.237535i | ||||
\(871\) | −1.02114 | + | 0.856839i | −0.0346000 | + | 0.0290329i | ||||
\(872\) | −1.53565 | − | 8.70913i | −0.0520038 | − | 0.294928i | ||||
\(873\) | −83.3638 | −2.82144 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −13.5567 | −0.458300 | ||||||||
\(876\) | 1.09968 | + | 6.23659i | 0.0371547 | + | 0.210715i | ||||
\(877\) | −5.99416 | + | 5.02970i | −0.202409 | + | 0.169841i | −0.738358 | − | 0.674409i | \(-0.764398\pi\) |
0.535949 | + | 0.844250i | \(0.319954\pi\) | |||||||
\(878\) | 28.9790 | − | 10.5475i | 0.977994 | − | 0.355961i | ||||
\(879\) | −61.3711 | − | 22.3372i | −2.07000 | − | 0.753417i | ||||
\(880\) | −10.3384 | − | 8.67499i | −0.348509 | − | 0.292434i | ||||
\(881\) | 7.24145 | − | 12.5426i | 0.243970 | − | 0.422569i | −0.717871 | − | 0.696176i | \(-0.754883\pi\) |
0.961842 | + | 0.273607i | \(0.0882167\pi\) | |||||||
\(882\) | −12.8540 | − | 22.2639i | −0.432818 | − | 0.749663i | ||||
\(883\) | −4.08992 | + | 23.1951i | −0.137637 | + | 0.780577i | 0.835350 | + | 0.549718i | \(0.185265\pi\) |
−0.972987 | + | 0.230859i | \(0.925846\pi\) | |||||||
\(884\) | −0.221190 | + | 1.25443i | −0.00743944 | + | 0.0421912i | ||||
\(885\) | 10.8522 | + | 18.7966i | 0.364794 | + | 0.631842i | ||||
\(886\) | 5.35234 | − | 9.27052i | 0.179815 | − | 0.311449i | ||||
\(887\) | 12.1599 | + | 10.2033i | 0.408288 | + | 0.342594i | 0.823687 | − | 0.567045i | \(-0.191913\pi\) |
−0.415399 | + | 0.909639i | \(0.636358\pi\) | |||||||
\(888\) | −10.4475 | − | 3.80257i | −0.350595 | − | 0.127606i | ||||
\(889\) | −2.69098 | + | 0.979438i | −0.0902527 | + | 0.0328493i | ||||
\(890\) | 27.0782 | − | 22.7213i | 0.907663 | − | 0.761620i | ||||
\(891\) | −0.331943 | − | 1.88254i | −0.0111205 | − | 0.0630675i | ||||
\(892\) | −8.92400 | −0.298798 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −26.0751 | −0.872081 | ||||||||
\(895\) | −3.44062 | − | 19.5127i | −0.115007 | − | 0.652239i | ||||
\(896\) | 0.983662 | − | 0.825390i | 0.0328618 | − | 0.0275743i | ||||
\(897\) | 5.17357 | − | 1.88303i | 0.172741 | − | 0.0628724i | ||||
\(898\) | −2.17597 | − | 0.791987i | −0.0726130 | − | 0.0264290i | ||||
\(899\) | −15.4352 | − | 12.9516i | −0.514792 | − | 0.431962i | ||||
\(900\) | −1.19394 | + | 2.06797i | −0.0397981 | + | 0.0689324i | ||||
\(901\) | 6.88763 | + | 11.9297i | 0.229460 | + | 0.397437i | ||||
\(902\) | −5.01496 | + | 28.4412i | −0.166980 | + | 0.946990i | ||||
\(903\) | −0.616296 | + | 3.49519i | −0.0205090 | + | 0.116313i | ||||
\(904\) | 7.12512 | + | 12.3411i | 0.236978 | + | 0.410458i | ||||
\(905\) | −9.94718 | + | 17.2290i | −0.330655 | + | 0.572712i | ||||
\(906\) | −42.4221 | − | 35.5963i | −1.40938 | − | 1.18261i | ||||
\(907\) | 42.2981 | + | 15.3953i | 1.40449 | + | 0.511191i | 0.929506 | − | 0.368806i | \(-0.120233\pi\) |
0.474979 | + | 0.879997i | \(0.342456\pi\) | |||||||
\(908\) | −0.620005 | + | 0.225663i | −0.0205756 | + | 0.00748890i | ||||
\(909\) | 13.5311 | − | 11.3539i | 0.448797 | − | 0.376585i | ||||
\(910\) | 0.159076 | + | 0.902162i | 0.00527330 | + | 0.0299064i | ||||
\(911\) | 2.75901 | 0.0914100 | 0.0457050 | − | 0.998955i | \(-0.485447\pi\) | ||||
0.0457050 | + | 0.998955i | \(0.485447\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −56.2074 | −1.86019 | ||||||||
\(914\) | 0.00906113 | + | 0.0513882i | 0.000299716 | + | 0.00169977i | ||||
\(915\) | −54.9986 | + | 46.1493i | −1.81820 | + | 1.52565i | ||||
\(916\) | 6.55161 | − | 2.38459i | 0.216471 | − | 0.0787891i | ||||
\(917\) | 1.83730 | + | 0.668721i | 0.0606728 | + | 0.0220831i | ||||
\(918\) | 16.1633 | + | 13.5626i | 0.533467 | + | 0.447632i | ||||
\(919\) | 19.6542 | − | 34.0420i | 0.648331 | − | 1.12294i | −0.335191 | − | 0.942150i | \(-0.608801\pi\) |
0.983521 | − | 0.180792i | \(-0.0578660\pi\) | |||||||
\(920\) | 7.59272 | + | 13.1510i | 0.250325 | + | 0.433575i | ||||
\(921\) | −0.673335 | + | 3.81867i | −0.0221871 | + | 0.125829i | ||||
\(922\) | −6.85424 | + | 38.8724i | −0.225733 | + | 1.28019i | ||||
\(923\) | 0.671809 | + | 1.16361i | 0.0221129 | + | 0.0383006i | ||||
\(924\) | −10.3244 | + | 17.8823i | −0.339647 | + | 0.588286i | ||||
\(925\) | 1.51532 | + | 1.27151i | 0.0498235 | + | 0.0418069i | ||||
\(926\) | −5.81723 | − | 2.11730i | −0.191166 | − | 0.0695787i | ||||
\(927\) | 85.8365 | − | 31.2419i | 2.81924 | − | 1.02612i | ||||
\(928\) | −2.39585 | + | 2.01036i | −0.0786476 | + | 0.0659932i | ||||
\(929\) | −5.16460 | − | 29.2899i | −0.169445 | − | 0.960970i | −0.944362 | − | 0.328907i | \(-0.893320\pi\) |
0.774917 | − | 0.632063i | \(-0.217792\pi\) | |||||||
\(930\) | 42.1970 | 1.38369 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −29.6097 | −0.969898 | ||||||||
\(933\) | 5.91354 | + | 33.5374i | 0.193601 | + | 1.09796i | ||||
\(934\) | 16.0840 | − | 13.4961i | 0.526284 | − | 0.441605i | ||||
\(935\) | 53.0892 | − | 19.3229i | 1.73620 | − | 0.631926i | ||||
\(936\) | −1.37368 | − | 0.499979i | −0.0449002 | − | 0.0163423i | ||||
\(937\) | 28.8960 | + | 24.2467i | 0.943993 | + | 0.792104i | 0.978276 | − | 0.207308i | \(-0.0664703\pi\) |
−0.0342830 | + | 0.999412i | \(0.510915\pi\) | |||||||
\(938\) | −2.81266 | + | 4.87166i | −0.0918365 | + | 0.159065i | ||||
\(939\) | 23.0911 | + | 39.9950i | 0.753550 | + | 1.30519i | ||||
\(940\) | 1.78912 | − | 10.1466i | 0.0583547 | − | 0.330946i | ||||
\(941\) | 1.12464 | − | 6.37813i | 0.0366621 | − | 0.207921i | −0.960974 | − | 0.276638i | \(-0.910780\pi\) |
0.997636 | + | 0.0687174i | \(0.0218907\pi\) | |||||||
\(942\) | −19.3703 | − | 33.5504i | −0.631120 | − | 1.09313i | ||||
\(943\) | 16.2477 | − | 28.1419i | 0.529099 | − | 0.916427i | ||||
\(944\) | −2.53848 | − | 2.13004i | −0.0826205 | − | 0.0693268i | ||||
\(945\) | 14.2593 | + | 5.18996i | 0.463855 | + | 0.168829i | ||||
\(946\) | −5.35162 | + | 1.94783i | −0.173996 | + | 0.0633294i | ||||
\(947\) | 12.4798 | − | 10.4718i | 0.405541 | − | 0.340289i | −0.417090 | − | 0.908865i | \(-0.636950\pi\) |
0.822631 | + | 0.568576i | \(0.192506\pi\) | |||||||
\(948\) | 4.16054 | + | 23.5956i | 0.135128 | + | 0.766349i | ||||
\(949\) | 0.689776 | 0.0223911 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 7.50953 | 0.243513 | ||||||||
\(952\) | 0.933429 | + | 5.29374i | 0.0302526 | + | 0.171571i | ||||
\(953\) | 26.5215 | − | 22.2542i | 0.859115 | − | 0.720883i | −0.102662 | − | 0.994716i | \(-0.532736\pi\) |
0.961777 | + | 0.273833i | \(0.0882916\pi\) | |||||||
\(954\) | −14.8556 | + | 5.40699i | −0.480968 | + | 0.175058i | ||||
\(955\) | −49.3050 | − | 17.9456i | −1.59547 | − | 0.580705i | ||||
\(956\) | −18.9239 | − | 15.8790i | −0.612043 | − | 0.513565i | ||||
\(957\) | 25.1465 | − | 43.5550i | 0.812871 | − | 1.40793i | ||||
\(958\) | 7.76147 | + | 13.4433i | 0.250762 | + | 0.434332i | ||||
\(959\) | −2.38848 | + | 13.5458i | −0.0771282 | + | 0.437416i | ||||
\(960\) | 1.13736 | − | 6.45031i | 0.0367083 | − | 0.208183i | ||||
\(961\) | −5.25267 | − | 9.09789i | −0.169441 | − | 0.293480i | ||||
\(962\) | −0.605491 | + | 1.04874i | −0.0195218 | + | 0.0338128i | ||||
\(963\) | −36.9397 | − | 30.9961i | −1.19037 | − | 0.998835i | ||||
\(964\) | 25.8967 | + | 9.42561i | 0.834075 | + | 0.303579i | ||||
\(965\) | −16.3655 | + | 5.95655i | −0.526823 | + | 0.191748i | ||||
\(966\) | 17.7981 | − | 14.9344i | 0.572644 | − | 0.480506i | ||||
\(967\) | −8.49322 | − | 48.1674i | −0.273124 | − | 1.54896i | −0.744860 | − | 0.667221i | \(-0.767484\pi\) |
0.471736 | − | 0.881740i | \(-0.343627\pi\) | |||||||
\(968\) | −22.1340 | −0.711414 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −40.6835 | −1.30627 | ||||||||
\(971\) | −1.05507 | − | 5.98361i | −0.0338589 | − | 0.192023i | 0.963187 | − | 0.268833i | \(-0.0866378\pi\) |
−0.997046 | + | 0.0768093i | \(0.975527\pi\) | |||||||
\(972\) | 12.2939 | − | 10.3158i | 0.394329 | − | 0.330881i | ||||
\(973\) | −13.0490 | + | 4.74945i | −0.418332 | + | 0.152260i | ||||
\(974\) | 26.8814 | + | 9.78401i | 0.861334 | + | 0.313500i | ||||
\(975\) | 0.323658 | + | 0.271581i | 0.0103654 | + | 0.00869756i | ||||
\(976\) | 5.48073 | − | 9.49290i | 0.175434 | − | 0.303860i | ||||
\(977\) | 28.5239 | + | 49.4048i | 0.912559 | + | 1.58060i | 0.810436 | + | 0.585828i | \(0.199230\pi\) |
0.102124 | + | 0.994772i | \(0.467436\pi\) | |||||||
\(978\) | 6.91254 | − | 39.2030i | 0.221039 | − | 1.25357i | ||||
\(979\) | 15.0698 | − | 85.4653i | 0.481634 | − | 2.73148i | ||||
\(980\) | −6.27308 | − | 10.8653i | −0.200386 | − | 0.347079i | ||||
\(981\) | −21.2430 | + | 36.7940i | −0.678238 | + | 1.17474i | ||||
\(982\) | 23.2486 | + | 19.5079i | 0.741891 | + | 0.622521i | ||||
\(983\) | 0.175271 | + | 0.0637934i | 0.00559028 | + | 0.00203469i | 0.344814 | − | 0.938671i | \(-0.387942\pi\) |
−0.339223 | + | 0.940706i | \(0.610164\pi\) | |||||||
\(984\) | −13.1708 | + | 4.79377i | −0.419869 | + | 0.152820i | ||||
\(985\) | −15.3303 | + | 12.8636i | −0.488462 | + | 0.409869i | ||||
\(986\) | −2.27350 | − | 12.8937i | −0.0724030 | − | 0.410618i | ||||
\(987\) | −15.7638 | −0.501768 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 6.40804 | 0.203764 | ||||||||
\(990\) | 11.2589 | + | 63.8523i | 0.357831 | + | 2.02936i | ||||
\(991\) | 35.4218 | − | 29.7224i | 1.12521 | − | 0.944163i | 0.126354 | − | 0.991985i | \(-0.459673\pi\) |
0.998856 | + | 0.0478224i | \(0.0152282\pi\) | |||||||
\(992\) | −6.05394 | + | 2.20345i | −0.192213 | + | 0.0699597i | ||||
\(993\) | −13.6849 | − | 4.98089i | −0.434276 | − | 0.158064i | ||||
\(994\) | 4.34355 | + | 3.64467i | 0.137769 | + | 0.115602i | ||||
\(995\) | −7.45488 | + | 12.9122i | −0.236336 | + | 0.409345i | ||||
\(996\) | −13.6393 | − | 23.6239i | −0.432177 | − | 0.748553i | ||||
\(997\) | −3.62039 | + | 20.5323i | −0.114659 | + | 0.650263i | 0.872260 | + | 0.489043i | \(0.162654\pi\) |
−0.986918 | + | 0.161220i | \(0.948457\pi\) | |||||||
\(998\) | −1.52398 | + | 8.64291i | −0.0482407 | + | 0.273586i | ||||
\(999\) | 10.0297 | + | 17.3719i | 0.317325 | + | 0.549623i |
(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 | 722.2.e.s.389.1 | 24 | ||
19.2 | odd | 18 | 722.2.e.r.245.4 | 24 | |||
19.3 | odd | 18 | 722.2.e.r.423.4 | 24 | |||
19.4 | even | 9 | 722.2.c.n.429.4 | 8 | |||
19.5 | even | 9 | inner | 722.2.e.s.415.4 | 24 | ||
19.6 | even | 9 | 722.2.a.m.1.1 | ✓ | 4 | ||
19.7 | even | 3 | inner | 722.2.e.s.99.1 | 24 | ||
19.8 | odd | 6 | 722.2.e.r.595.1 | 24 | |||
19.9 | even | 9 | 722.2.c.n.653.4 | 8 | |||
19.10 | odd | 18 | 722.2.c.m.653.1 | 8 | |||
19.11 | even | 3 | inner | 722.2.e.s.595.4 | 24 | ||
19.12 | odd | 6 | 722.2.e.r.99.4 | 24 | |||
19.13 | odd | 18 | 722.2.a.n.1.4 | yes | 4 | ||
19.14 | odd | 18 | 722.2.e.r.415.1 | 24 | |||
19.15 | odd | 18 | 722.2.c.m.429.1 | 8 | |||
19.16 | even | 9 | inner | 722.2.e.s.423.1 | 24 | ||
19.17 | even | 9 | inner | 722.2.e.s.245.1 | 24 | ||
19.18 | odd | 2 | 722.2.e.r.389.4 | 24 | |||
57.32 | even | 18 | 6498.2.a.bx.1.3 | 4 | |||
57.44 | odd | 18 | 6498.2.a.ca.1.3 | 4 | |||
76.51 | even | 18 | 5776.2.a.bt.1.1 | 4 | |||
76.63 | odd | 18 | 5776.2.a.bv.1.4 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.1 | ✓ | 4 | 19.6 | even | 9 | ||
722.2.a.n.1.4 | yes | 4 | 19.13 | odd | 18 | ||
722.2.c.m.429.1 | 8 | 19.15 | odd | 18 | |||
722.2.c.m.653.1 | 8 | 19.10 | odd | 18 | |||
722.2.c.n.429.4 | 8 | 19.4 | even | 9 | |||
722.2.c.n.653.4 | 8 | 19.9 | even | 9 | |||
722.2.e.r.99.4 | 24 | 19.12 | odd | 6 | |||
722.2.e.r.245.4 | 24 | 19.2 | odd | 18 | |||
722.2.e.r.389.4 | 24 | 19.18 | odd | 2 | |||
722.2.e.r.415.1 | 24 | 19.14 | odd | 18 | |||
722.2.e.r.423.4 | 24 | 19.3 | odd | 18 | |||
722.2.e.r.595.1 | 24 | 19.8 | odd | 6 | |||
722.2.e.s.99.1 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.s.245.1 | 24 | 19.17 | even | 9 | inner | ||
722.2.e.s.389.1 | 24 | 1.1 | even | 1 | trivial | ||
722.2.e.s.415.4 | 24 | 19.5 | even | 9 | inner | ||
722.2.e.s.423.1 | 24 | 19.16 | even | 9 | inner | ||
722.2.e.s.595.4 | 24 | 19.11 | even | 3 | inner | ||
5776.2.a.bt.1.1 | 4 | 76.51 | even | 18 | |||
5776.2.a.bv.1.4 | 4 | 76.63 | odd | 18 | |||
6498.2.a.bx.1.3 | 4 | 57.32 | even | 18 | |||
6498.2.a.ca.1.3 | 4 | 57.44 | odd | 18 |