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 | 245.4 | ||
Character | \(\chi\) | \(=\) | 722.245 |
Dual form | 722.2.e.r.389.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 | 0.997859 | + | 0.0654024i | \(0.0208331\pi\) |
0.237685 | + | 0.971342i | \(0.423611\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 2.20318 | − | 0.801892i | 0.985293 | − | 0.358617i | 0.201397 | − | 0.979510i | \(-0.435452\pi\) |
0.783896 | + | 0.620893i | \(0.213230\pi\) | |||||||
\(6\) | 2.14003 | − | 1.79569i | 0.873662 | − | 0.733089i | ||||
\(7\) | 0.642040 | + | 1.11205i | 0.242668 | + | 0.420314i | 0.961473 | − | 0.274898i | \(-0.0886441\pi\) |
−0.718805 | + | 0.695211i | \(0.755311\pi\) | |||||||
\(8\) | −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 | −0.00352407 | + | 0.999994i | \(0.501122\pi\) |
−0.864258 | + | 0.503049i | \(0.832212\pi\) | |||||||
\(12\) | −1.39680 | − | 2.41933i | −0.403222 | − | 0.698401i | ||||
\(13\) | 0.233094 | − | 0.195589i | 0.0646486 | − | 0.0542466i | −0.609891 | − | 0.792485i | \(-0.708787\pi\) |
0.674539 | + | 0.738239i | \(0.264342\pi\) | |||||||
\(14\) | 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 | −0.760322 | − | 0.649547i | \(-0.774959\pi\) |
0.936627 | − | 0.350329i | \(-0.113930\pi\) | |||||||
\(18\) | 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 | 0.886802 | − | 0.462150i | \(-0.152922\pi\) |
0.382266 | + | 0.924052i | \(0.375144\pi\) | |||||||
\(24\) | −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 | −0.992797 | − | 0.119809i | \(-0.961772\pi\) |
0.891947 | − | 0.452141i | \(-0.149339\pi\) | |||||||
\(30\) | 3.27491 | − | 5.67231i | 0.597914 | − | 1.03562i | ||||
\(31\) | −3.22123 | − | 5.57934i | −0.578550 | − | 1.00208i | −0.995646 | − | 0.0932159i | \(-0.970285\pi\) |
0.417096 | − | 0.908863i | \(-0.363048\pi\) | |||||||
\(32\) | 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 | \(-0.606084\pi\) | ||||
−0.327137 | + | 0.944977i | \(0.606084\pi\) | |||||||
\(38\) | 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 | \(-0.405917\pi\) |
−0.891522 | + | 0.452978i | \(0.850362\pi\) | |||||||
\(42\) | 3.37087 | + | 1.22690i | 0.520137 | + | 0.189314i | ||||
\(43\) | 0.929712 | − | 0.338387i | 0.141780 | − | 0.0516036i | −0.270156 | − | 0.962817i | \(-0.587075\pi\) |
0.411935 | + | 0.911213i | \(0.364853\pi\) | |||||||
\(44\) | 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 | −0.988512 | − | 0.151141i | \(-0.951705\pi\) |
0.877204 | − | 0.480117i | \(-0.159406\pi\) | |||||||
\(48\) | 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 | \(-0.461455\pi\) |
−0.545544 | + | 0.838082i | \(0.683677\pi\) | |||||||
\(54\) | 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 | −0.924166 | − | 0.381990i | \(-0.875239\pi\) |
0.999081 | − | 0.0428696i | \(-0.0136500\pi\) | |||||||
\(60\) | −5.01745 | − | 4.21014i | −0.647750 | − | 0.543527i | ||||
\(61\) | 10.3004 | + | 3.74904i | 1.31883 | + | 0.480015i | 0.903084 | − | 0.429465i | \(-0.141298\pi\) |
0.415748 | + | 0.909480i | \(0.363520\pi\) | |||||||
\(62\) | −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 | −0.995360 | − | 0.0962201i | \(-0.969325\pi\) |
0.902423 | − | 0.430851i | \(-0.141786\pi\) | |||||||
\(68\) | −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 | \(-0.526721\pi\) |
0.576292 | + | 0.817244i | \(0.304499\pi\) | |||||||
\(72\) | −4.51450 | − | 1.64314i | −0.532038 | − | 0.193646i | ||||
\(73\) | −1.73654 | − | 1.45713i | −0.203247 | − | 0.170544i | 0.535483 | − | 0.844546i | \(-0.320130\pi\) |
−0.738730 | + | 0.674002i | \(0.764574\pi\) | |||||||
\(74\) | −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 | \(-0.117517\pi\) |
−0.193431 | + | 0.981114i | \(0.561962\pi\) | |||||||
\(80\) | 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 | 0.999119 | + | 0.0419676i | \(0.0133626\pi\) |
−0.463214 | + | 0.886246i | \(0.653304\pi\) | |||||||
\(84\) | 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 | −0.225630 | + | 0.974213i | \(0.572444\pi\) |
−0.998593 | + | 0.0530316i | \(0.983112\pi\) | |||||||
\(90\) | 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 | −0.313098 | − | 0.949721i | \(-0.601367\pi\) |
0.619040 | − | 0.785360i | \(-0.287522\pi\) | |||||||
\(98\) | −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 | −0.491817 | − | 0.870699i | \(-0.663667\pi\) |
0.772068 | + | 0.635540i | \(0.219223\pi\) | |||||||
\(102\) | −5.84728 | − | 10.1278i | −0.578967 | − | 1.00280i | ||||
\(103\) | −9.50676 | + | 16.4662i | −0.936729 | + | 1.62246i | −0.165208 | + | 0.986259i | \(0.552830\pi\) |
−0.771521 | + | 0.636204i | \(0.780504\pi\) | |||||||
\(104\) | 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 | \(-0.327909\pi\) |
−0.999855 | + | 0.0170403i | \(0.994576\pi\) | |||||||
\(108\) | 3.86109 | − | 3.23984i | 0.371533 | − | 0.311754i | ||||
\(109\) | 8.31015 | − | 3.02465i | 0.795968 | − | 0.289709i | 0.0881536 | − | 0.996107i | \(-0.471903\pi\) |
0.707815 | + | 0.706398i | \(0.249681\pi\) | |||||||
\(110\) | 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 | \(-0.733824\pi\) | ||||
−0.670275 | + | 0.742113i | \(0.733824\pi\) | |||||||
\(114\) | 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 | \(-0.690675\pi\) |
0.715431 | + | 0.698684i | \(0.246230\pi\) | |||||||
\(128\) | −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 | −0.971076 | − | 0.238771i | \(-0.923256\pi\) |
0.994177 | + | 0.107757i | \(0.0343667\pi\) | |||||||
\(132\) | 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 | −0.125875 | − | 0.992046i | \(-0.540174\pi\) |
−0.734101 | + | 0.679041i | \(0.762396\pi\) | |||||||
\(138\) | 17.0025 | − | 6.18842i | 1.44735 | − | 0.526793i | ||||
\(139\) | −8.28426 | + | 6.95132i | −0.702662 | + | 0.589603i | −0.922530 | − | 0.385926i | \(-0.873882\pi\) |
0.219868 | + | 0.975530i | \(0.429437\pi\) | |||||||
\(140\) | −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 | 0.301072 | − | 0.953602i | \(-0.402656\pi\) |
−0.886834 | + | 0.462089i | \(0.847100\pi\) | |||||||
\(150\) | 0.241116 | − | 1.36744i | 0.0196870 | − | 0.111651i | ||||
\(151\) | 19.8232 | 1.61319 | 0.806593 | − | 0.591107i | \(-0.201309\pi\) | ||||
0.806593 | + | 0.591107i | \(0.201309\pi\) | |||||||
\(152\) | 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 | −0.804885 | − | 0.593431i | \(-0.797773\pi\) |
−0.235127 | + | 0.971965i | \(0.575551\pi\) | |||||||
\(158\) | 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 | 0.439601 | + | 0.898193i | \(0.355120\pi\) |
−0.997659 | + | 0.0683904i | \(0.978214\pi\) | |||||||
\(164\) | 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 | \(-0.536907\pi\) |
−0.727094 | + | 0.686538i | \(0.759130\pi\) | |||||||
\(168\) | −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 | \(-0.896056\pi\) |
0.999746 | + | 0.0225153i | \(0.00716744\pi\) | |||||||
\(174\) | −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 | \(-0.731052\pi\) |
0.979612 | + | 0.200897i | \(0.0643855\pi\) | |||||||
\(180\) | −1.95595 | − | 11.0928i | −0.145788 | − | 0.826805i | ||||
\(181\) | 1.47345 | + | 8.35635i | 0.109521 | + | 0.621123i | 0.989318 | + | 0.145774i | \(0.0465672\pi\) |
−0.879797 | + | 0.475349i | \(0.842322\pi\) | |||||||
\(182\) | 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 | \(-0.191632\pi\) |
−0.414594 | + | 0.910007i | \(0.636076\pi\) | |||||||
\(194\) | −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 | 0.672987 | − | 0.739654i | \(-0.265011\pi\) |
−0.977053 | + | 0.212997i | \(0.931678\pi\) | |||||||
\(198\) | −13.8271 | + | 23.9492i | −0.982648 | + | 1.70200i | ||||
\(199\) | −1.10427 | − | 6.26264i | −0.0782798 | − | 0.443947i | −0.998605 | − | 0.0527939i | \(-0.983187\pi\) |
0.920326 | − | 0.391153i | \(-0.127924\pi\) | |||||||
\(200\) | 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 | 0.780271 | + | 0.625442i | \(0.215081\pi\) |
−0.947128 | + | 0.320855i | \(0.896030\pi\) | |||||||
\(212\) | 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 | \(-0.707697\pi\) |
0.0456176 | + | 0.998959i | \(0.485474\pi\) | |||||||
\(224\) | 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 | \(-0.506970\pi\) | ||||
−0.0218961 | + | 0.999760i | \(0.506970\pi\) | |||||||
\(228\) | 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 | 0.828120 | − | 0.560551i | \(-0.189411\pi\) |
0.994692 | − | 0.102898i | \(-0.0328115\pi\) | |||||||
\(234\) | 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 | −0.121326 | − | 0.992613i | \(-0.538715\pi\) |
0.920291 | − | 0.391235i | \(-0.127952\pi\) | |||||||
\(240\) | 3.27491 | + | 5.67231i | 0.211395 | + | 0.366146i | ||||
\(241\) | 21.1111 | − | 17.7144i | 1.35989 | − | 1.14108i | 0.383872 | − | 0.923386i | \(-0.374590\pi\) |
0.976017 | − | 0.217696i | \(-0.0698540\pi\) | |||||||
\(242\) | −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 | 0.429125 | − | 0.903245i | \(-0.358822\pi\) |
−0.251866 | + | 0.967762i | \(0.581044\pi\) | |||||||
\(252\) | 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 | 0.960521 | + | 0.278207i | \(0.0897401\pi\) |
−0.807442 | + | 0.589947i | \(0.799149\pi\) | |||||||
\(258\) | 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 | 0.803804 | − | 0.594895i | \(-0.202806\pi\) |
−0.446278 | + | 0.894894i | \(0.647251\pi\) | |||||||
\(264\) | 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 | \(-0.352909\pi\) |
−0.804102 | + | 0.594491i | \(0.797354\pi\) | |||||||
\(270\) | 11.1047 | + | 4.04177i | 0.675809 | + | 0.245975i | ||||
\(271\) | −10.9614 | + | 3.98963i | −0.665858 | + | 0.242353i | −0.652764 | − | 0.757562i | \(-0.726391\pi\) |
−0.0130948 | + | 0.999914i | \(0.504168\pi\) | |||||||
\(272\) | 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 | 0.0780307 | + | 0.996951i | \(0.475137\pi\) |
−0.902400 | + | 0.430899i | \(0.858197\pi\) | |||||||
\(278\) | 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 | \(-0.550192\pi\) |
−0.755106 | + | 0.655603i | \(0.772414\pi\) | |||||||
\(282\) | −9.40424 | − | 7.89109i | −0.560014 | − | 0.469908i | ||||
\(283\) | 0.589317 | − | 3.34218i | 0.0350312 | − | 0.198672i | −0.962269 | − | 0.272099i | \(-0.912282\pi\) |
0.997301 | + | 0.0734265i | \(0.0233934\pi\) | |||||||
\(284\) | −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 | 0.291208 | + | 0.956660i | \(0.405943\pi\) |
−0.974096 | + | 0.226136i | \(0.927391\pi\) | |||||||
\(294\) | −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 | \(-0.290389\pi\) |
−0.672626 | + | 0.739983i | \(0.734834\pi\) | |||||||
\(308\) | 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 | 0.985467 | − | 0.169869i | \(-0.0543343\pi\) |
−0.639844 | + | 0.768505i | \(0.721001\pi\) | |||||||
\(312\) | −0.425022 | + | 0.736160i | −0.0240622 | + | 0.0416769i | ||||
\(313\) | 2.87065 | + | 16.2803i | 0.162259 | + | 0.920215i | 0.951846 | + | 0.306577i | \(0.0991836\pi\) |
−0.789587 | + | 0.613638i | \(0.789705\pi\) | |||||||
\(314\) | 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 | \(-0.698170\pi\) |
0.698782 | + | 0.715335i | \(0.253726\pi\) | |||||||
\(318\) | −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 | \(-0.879094\pi\) |
0.785458 | + | 0.618915i | \(0.212427\pi\) | |||||||
\(332\) | −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 | \(-0.351576\pi\) |
0.918560 | + | 0.395283i | \(0.129353\pi\) | |||||||
\(338\) | 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 | 0.659555 | − | 0.751657i | \(-0.270745\pi\) |
0.988404 | + | 0.151849i | \(0.0485227\pi\) | |||||||
\(348\) | −6.69306 | + | 5.61614i | −0.358785 | + | 0.301057i | ||||
\(349\) | 14.5529 | + | 25.2063i | 0.778998 | + | 1.34926i | 0.932520 | + | 0.361119i | \(0.117605\pi\) |
−0.153521 | + | 0.988145i | \(0.549061\pi\) | |||||||
\(350\) | 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 | −0.610474 | − | 0.792036i | \(-0.709021\pi\) |
0.991160 | + | 0.132668i | \(0.0423545\pi\) | |||||||
\(354\) | −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 | −0.751595 | − | 0.659624i | \(-0.770715\pi\) |
0.931874 | − | 0.362783i | \(-0.118173\pi\) | |||||||
\(360\) | −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 | −0.431548 | − | 0.902090i | \(-0.642033\pi\) |
0.813447 | + | 0.581638i | \(0.197588\pi\) | |||||||
\(368\) | 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 | \(-0.196708\pi\) |
−0.909291 | + | 0.416162i | \(0.863375\pi\) | |||||||
\(374\) | 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 | \(-0.431224\pi\) | ||||
0.214389 | + | 0.976748i | \(0.431224\pi\) | |||||||
\(380\) | 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 | \(-0.355695\pi\) |
−0.809275 | + | 0.587430i | \(0.800140\pi\) | |||||||
\(384\) | −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 | 0.558567 | + | 0.829460i | \(0.311351\pi\) |
−0.241189 | + | 0.970478i | \(0.577537\pi\) | |||||||
\(390\) | −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 | −0.999915 | − | 0.0130002i | \(-0.995862\pi\) |
0.944060 | + | 0.329775i | \(0.106973\pi\) | |||||||
\(398\) | −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 | \(-0.942953\pi\) |
0.985611 | + | 0.169032i | \(0.0540641\pi\) | |||||||
\(402\) | −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 | 0.964696 | + | 0.263364i | \(0.0848321\pi\) |
−0.816442 | + | 0.577427i | \(0.804057\pi\) | |||||||
\(410\) | −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 | 0.998669 | + | 0.0515798i | \(0.0164257\pi\) |
0.224213 | + | 0.974540i | \(0.428019\pi\) | |||||||
\(422\) | 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 | \(-0.932837\pi\) |
0.0364565 | + | 0.999335i | \(0.488393\pi\) | |||||||
\(432\) | −4.73633 | + | 1.72388i | −0.227877 | + | 0.0829403i | ||||
\(433\) | −23.0069 | − | 8.37382i | −1.10564 | − | 0.402420i | −0.276247 | − | 0.961087i | \(-0.589091\pi\) |
−0.829392 | + | 0.558667i | \(0.811313\pi\) | |||||||
\(434\) | −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 | 0.538981 | + | 0.842318i | \(0.318809\pi\) |
−0.794566 | + | 0.607177i | \(0.792302\pi\) | |||||||
\(440\) | −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 | −0.426854 | − | 0.904321i | \(-0.640378\pi\) |
0.816460 | + | 0.577402i | \(0.195934\pi\) | |||||||
\(444\) | 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 | \(-0.184068\pi\) |
−0.892052 | + | 0.451933i | \(0.850735\pi\) | |||||||
\(450\) | 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 | −0.998450 | − | 0.0556634i | \(-0.982273\pi\) |
−0.729077 | + | 0.684432i | \(0.760050\pi\) | |||||||
\(462\) | −15.8179 | + | 13.2728i | −0.735913 | + | 0.617505i | ||||
\(463\) | 3.09528 | + | 5.36119i | 0.143850 | + | 0.249155i | 0.928943 | − | 0.370222i | \(-0.120718\pi\) |
−0.785093 | + | 0.619377i | \(0.787385\pi\) | |||||||
\(464\) | 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 | −0.514074 | − | 0.857746i | \(-0.671864\pi\) |
0.999867 | + | 0.0163277i | \(0.00519750\pi\) | |||||||
\(468\) | −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 | −0.0134527 | − | 0.999910i | \(-0.504282\pi\) |
−0.653035 | + | 0.757328i | \(0.726504\pi\) | |||||||
\(480\) | 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 | 0.983566 | + | 0.180549i | \(0.0577875\pi\) |
−0.335423 | + | 0.942068i | \(0.608879\pi\) | |||||||
\(488\) | −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 | −0.0561842 | − | 0.998420i | \(-0.517893\pi\) |
−0.993008 | + | 0.118043i | \(0.962338\pi\) | |||||||
\(492\) | −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 | −0.519949 | − | 0.854198i | \(-0.674049\pi\) |
0.150764 | + | 0.988570i | \(0.451827\pi\) | |||||||
\(500\) | 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 | −0.950697 | − | 0.310123i | \(-0.899630\pi\) |
0.787294 | − | 0.616577i | \(-0.211481\pi\) | |||||||
\(504\) | −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 | \(-0.552794\pi\) |
−0.760439 | + | 0.649409i | \(0.775016\pi\) | |||||||
\(510\) | −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 | \(-0.903868\pi\) |
0.734959 | + | 0.678111i | \(0.237201\pi\) | |||||||
\(522\) | −2.60915 | − | 14.7972i | −0.114199 | − | 0.647657i | ||||
\(523\) | 5.08482 | + | 28.8374i | 0.222343 | + | 1.26097i | 0.867699 | + | 0.497090i | \(0.165598\pi\) |
−0.645356 | + | 0.763882i | \(0.723291\pi\) | |||||||
\(524\) | −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 | −0.714062 | − | 0.700082i | \(-0.753147\pi\) |
0.431557 | − | 0.902086i | \(-0.357964\pi\) | |||||||
\(542\) | 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 | \(-0.288581\pi\) |
−0.0339340 | + | 0.999424i | \(0.510804\pi\) | |||||||
\(548\) | 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 | −0.710470 | − | 0.703728i | \(-0.751517\pi\) |
0.569665 | + | 0.821877i | \(0.307073\pi\) | |||||||
\(558\) | −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 | 0.996026 | + | 0.0890637i | \(0.0283875\pi\) |
−0.420882 | + | 0.907116i | \(0.638279\pi\) | |||||||
\(564\) | −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 | \(-0.548159\pi\) | ||||
−0.150719 | + | 0.988577i | \(0.548159\pi\) | |||||||
\(570\) | 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 | 0.547359 | − | 0.836898i | \(-0.315633\pi\) |
−0.998454 | + | 0.0555783i | \(0.982300\pi\) | |||||||
\(578\) | −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 | −0.989017 | − | 0.147805i | \(-0.952779\pi\) |
0.979924 | + | 0.199372i | \(0.0638903\pi\) | |||||||
\(588\) | −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 | −0.109302 | − | 0.994009i | \(-0.534862\pi\) |
−0.722667 | + | 0.691197i | \(0.757084\pi\) | |||||||
\(594\) | −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 | −0.900224 | − | 0.435428i | \(-0.856597\pi\) |
0.697008 | − | 0.717063i | \(-0.254514\pi\) | |||||||
\(600\) | −0.694265 | + | 1.20250i | −0.0283433 | + | 0.0490920i | ||||
\(601\) | −3.77932 | − | 6.54598i | −0.154162 | − | 0.267016i | 0.778592 | − | 0.627531i | \(-0.215934\pi\) |
−0.932754 | + | 0.360515i | \(0.882601\pi\) | |||||||
\(602\) | 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 | \(-0.488839\pi\) | ||||
0.0350558 | + | 0.999385i | \(0.488839\pi\) | |||||||
\(608\) | 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 | 0.235479 | − | 0.971880i | \(-0.424334\pi\) |
0.805099 | + | 0.593140i | \(0.202112\pi\) | |||||||
\(614\) | −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 | 0.999157 | + | 0.0410453i | \(0.0130688\pi\) |
−0.924862 | + | 0.380302i | \(0.875820\pi\) | |||||||
\(618\) | 9.22354 | + | 52.3093i | 0.371025 | + | 2.10419i | ||||
\(619\) | −4.18004 | + | 7.24004i | −0.168010 | + | 0.291002i | −0.937720 | − | 0.347392i | \(-0.887067\pi\) |
0.769710 | + | 0.638394i | \(0.220401\pi\) | |||||||
\(620\) | 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 | −0.160339 | − | 0.987062i | \(-0.551259\pi\) |
−0.757298 | + | 0.653069i | \(0.773481\pi\) | |||||||
\(632\) | −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 | \(-0.567139\pi\) |
0.468160 | + | 0.883644i | \(0.344917\pi\) | |||||||
\(642\) | −26.3492 | − | 9.59031i | −1.03992 | − | 0.378499i | ||||
\(643\) | −6.96353 | − | 5.84309i | −0.274615 | − | 0.230429i | 0.495070 | − | 0.868853i | \(-0.335142\pi\) |
−0.769685 | + | 0.638424i | \(0.779587\pi\) | |||||||
\(644\) | 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 | 0.745905 | − | 0.666053i | \(-0.232017\pi\) |
−0.949771 | + | 0.312946i | \(0.898684\pi\) | |||||||
\(654\) | 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 | \(-0.893957\pi\) |
0.157948 | + | 0.987447i | \(0.449512\pi\) | |||||||
\(660\) | 35.4285 | − | 12.8949i | 1.37905 | − | 0.501933i | ||||
\(661\) | 23.2047 | + | 8.44583i | 0.902559 | + | 0.328505i | 0.751278 | − | 0.659986i | \(-0.229438\pi\) |
0.151281 | + | 0.988491i | \(0.451660\pi\) | |||||||
\(662\) | 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 | \(-0.773011\pi\) |
0.944709 | + | 0.327910i | \(0.106344\pi\) | |||||||
\(674\) | −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 | \(-0.0305910\pi\) |
−0.580794 | + | 0.814051i | \(0.697258\pi\) | |||||||
\(678\) | −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 | \(-0.280524\pi\) | ||||
0.636155 | + | 0.771561i | \(0.280524\pi\) | |||||||
\(684\) | 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 | 0.816655 | − | 0.577126i | \(-0.195826\pi\) |
−0.908133 | + | 0.418682i | \(0.862492\pi\) | |||||||
\(692\) | −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 | −0.971336 | − | 0.237711i | \(-0.923603\pi\) |
0.994059 | + | 0.108841i | \(0.0347139\pi\) | |||||||
\(702\) | 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 | −0.296924 | − | 0.954901i | \(-0.595961\pi\) |
0.888834 | + | 0.458230i | \(0.151516\pi\) | |||||||
\(710\) | −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 | 0.919207 | − | 0.393774i | \(-0.128831\pi\) |
−0.228173 | + | 0.973621i | \(0.573275\pi\) | |||||||
\(720\) | −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 | −0.638002 | − | 0.770035i | \(-0.720239\pi\) |
0.00623100 | + | 0.999981i | \(0.498017\pi\) | |||||||
\(728\) | −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 | −0.995928 | − | 0.0901491i | \(-0.971266\pi\) |
0.576036 | + | 0.817425i | \(0.304599\pi\) | |||||||
\(734\) | −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 | −0.897172 | − | 0.441680i | \(-0.854383\pi\) |
0.994130 | − | 0.108193i | \(-0.0345064\pi\) | |||||||
\(740\) | 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 | \(-0.963585\pi\) |
0.972592 | + | 0.232518i | \(0.0746965\pi\) | |||||||
\(744\) | 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 | 0.463877 | + | 0.885899i | \(0.346458\pi\) |
−0.132907 | + | 0.991129i | \(0.542431\pi\) | |||||||
\(752\) | 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 | 0.239726 | − | 0.970841i | \(-0.422942\pi\) |
−0.914463 | + | 0.404669i | \(0.867387\pi\) | |||||||
\(758\) | 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 | 1.00000 | 0.000221010i | \(7.03495e-5\pi\) | |
−0.939617 | + | 0.342228i | \(0.888819\pi\) | |||||||
\(770\) | 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 | \(-0.714852\pi\) |
0.660350 | + | 0.750958i | \(0.270408\pi\) | |||||||
\(774\) | 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 | \(-0.739242\pi\) |
0.974120 | + | 0.226031i | \(0.0725749\pi\) | |||||||
\(788\) | 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 | \(-0.589624\pi\) | ||||
−0.277856 | + | 0.960623i | \(0.589624\pi\) | |||||||
\(798\) | 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 | −0.746768 | − | 0.665084i | \(-0.768396\pi\) |
0.949364 | + | 0.314178i | \(0.101729\pi\) | |||||||
\(810\) | −0.389305 | − | 0.674297i | −0.0136788 | − | 0.0236924i | ||||
\(811\) | −6.35895 | + | 5.33579i | −0.223293 | + | 0.187365i | −0.747571 | − | 0.664182i | \(-0.768780\pi\) |
0.524278 | + | 0.851547i | \(0.324335\pi\) | |||||||
\(812\) | −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 | 0.829369 | − | 0.558701i | \(-0.188700\pi\) |
0.276208 | + | 0.961098i | \(0.410922\pi\) | |||||||
\(822\) | −28.1197 | + | 10.2347i | −0.980788 | + | 0.356978i | ||||
\(823\) | 16.7517 | − | 14.0563i | 0.583927 | − | 0.489973i | −0.302307 | − | 0.953211i | \(-0.597757\pi\) |
0.886234 | + | 0.463238i | \(0.153312\pi\) | |||||||
\(824\) | −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 | 0.839392 | + | 0.543527i | \(0.182911\pi\) |
−0.602873 | + | 0.797837i | \(0.705977\pi\) | |||||||
\(828\) | 15.5581 | − | 26.9474i | 0.540681 | − | 0.936487i | ||||
\(829\) | 7.20878 | + | 12.4860i | 0.250371 | + | 0.433656i | 0.963628 | − | 0.267247i | \(-0.0861140\pi\) |
−0.713257 | + | 0.700903i | \(0.752781\pi\) | |||||||
\(830\) | 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 | \(-0.159977\pi\) |
−0.322197 | + | 0.946673i | \(0.604421\pi\) | |||||||
\(840\) | −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 | −0.295621 | − | 0.955305i | \(-0.595527\pi\) |
0.604527 | − | 0.796585i | \(-0.293362\pi\) | |||||||
\(854\) | 14.0754 | 0.481650 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0373 | 0.343067 | ||||||||
\(857\) | 5.06765 | − | 28.7401i | 0.173108 | − | 0.981743i | −0.767198 | − | 0.641411i | \(-0.778349\pi\) |
0.940305 | − | 0.340332i | \(-0.110539\pi\) | |||||||
\(858\) | 3.74829 | + | 3.14519i | 0.127964 | + | 0.107375i | ||||
\(859\) | −20.6651 | − | 7.52148i | −0.705084 | − | 0.256630i | −0.0355042 | − | 0.999370i | \(-0.511304\pi\) |
−0.669580 | + | 0.742740i | \(0.733526\pi\) | |||||||
\(860\) | −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 | −0.381717 | − | 0.924279i | \(-0.624667\pi\) |
0.991308 | − | 0.131562i | \(-0.0419994\pi\) | |||||||
\(864\) | 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 | \(-0.235602\pi\) |
−0.535949 | + | 0.844250i | \(0.680046\pi\) | |||||||
\(878\) | 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 | 0.961842 | − | 0.273607i | \(-0.0882167\pi\) |
−0.717871 | + | 0.696176i | \(0.754883\pi\) | |||||||
\(882\) | 12.8540 | − | 22.2639i | 0.432818 | − | 0.749663i | ||||
\(883\) | −4.08992 | − | 23.1951i | −0.137637 | − | 0.780577i | −0.972987 | − | 0.230859i | \(-0.925846\pi\) |
0.835350 | − | 0.549718i | \(-0.185265\pi\) | |||||||
\(884\) | 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 | \(-0.808087\pi\) |
0.415399 | + | 0.909639i | \(0.363642\pi\) | |||||||
\(888\) | 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 | \(-0.879767\pi\) |
−0.474979 | + | 0.879997i | \(0.657544\pi\) | |||||||
\(908\) | 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 | \(-0.514553\pi\) | ||||
−0.0457050 | + | 0.998955i | \(0.514553\pi\) | |||||||
\(912\) | 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 | 0.983521 | + | 0.180792i | \(0.0578660\pi\) |
−0.335191 | + | 0.942150i | \(0.608801\pi\) | |||||||
\(920\) | −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 | 0.774917 | + | 0.632063i | \(0.217792\pi\) |
−0.944362 | + | 0.328907i | \(0.893320\pi\) | |||||||
\(930\) | −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 | −0.0342830 | − | 0.999412i | \(-0.510915\pi\) |
0.978276 | + | 0.207308i | \(0.0664703\pi\) | |||||||
\(938\) | −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 | \(-0.0892204\pi\) |
−0.997636 | + | 0.0687174i | \(0.978109\pi\) | |||||||
\(942\) | −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 | 0.822631 | − | 0.568576i | \(-0.192506\pi\) |
−0.417090 | + | 0.908865i | \(0.636950\pi\) | |||||||
\(948\) | 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 | \(-0.467264\pi\) |
−0.961777 | + | 0.273833i | \(0.911708\pi\) | |||||||
\(954\) | −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 | 0.471736 | + | 0.881740i | \(0.343627\pi\) |
−0.744860 | + | 0.667221i | \(0.767484\pi\) | |||||||
\(968\) | 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 | \(-0.913362\pi\) |
0.997046 | + | 0.0768093i | \(0.0244733\pi\) | |||||||
\(972\) | −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 | −0.102124 | + | 0.994772i | \(0.532564\pi\) |
−0.810436 | + | 0.585828i | \(0.800770\pi\) | |||||||
\(978\) | 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 | \(-0.612058\pi\) |
0.339223 | + | 0.940706i | \(0.389836\pi\) | |||||||
\(984\) | 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 | \(-0.540327\pi\) |
−0.998856 | + | 0.0478224i | \(0.984772\pi\) | |||||||
\(992\) | −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 | −0.986918 | − | 0.161220i | \(-0.948457\pi\) |
0.872260 | − | 0.489043i | \(-0.162654\pi\) | |||||||
\(998\) | 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.r.245.4 | 24 | ||
19.2 | odd | 18 | 722.2.c.n.429.4 | 8 | |||
19.3 | odd | 18 | 722.2.a.m.1.1 | ✓ | 4 | ||
19.4 | even | 9 | inner | 722.2.e.r.595.1 | 24 | ||
19.5 | even | 9 | 722.2.c.m.653.1 | 8 | |||
19.6 | even | 9 | inner | 722.2.e.r.99.4 | 24 | ||
19.7 | even | 3 | inner | 722.2.e.r.415.1 | 24 | ||
19.8 | odd | 6 | 722.2.e.s.423.1 | 24 | |||
19.9 | even | 9 | inner | 722.2.e.r.389.4 | 24 | ||
19.10 | odd | 18 | 722.2.e.s.389.1 | 24 | |||
19.11 | even | 3 | inner | 722.2.e.r.423.4 | 24 | ||
19.12 | odd | 6 | 722.2.e.s.415.4 | 24 | |||
19.13 | odd | 18 | 722.2.e.s.99.1 | 24 | |||
19.14 | odd | 18 | 722.2.c.n.653.4 | 8 | |||
19.15 | odd | 18 | 722.2.e.s.595.4 | 24 | |||
19.16 | even | 9 | 722.2.a.n.1.4 | yes | 4 | ||
19.17 | even | 9 | 722.2.c.m.429.1 | 8 | |||
19.18 | odd | 2 | 722.2.e.s.245.1 | 24 | |||
57.35 | odd | 18 | 6498.2.a.bx.1.3 | 4 | |||
57.41 | even | 18 | 6498.2.a.ca.1.3 | 4 | |||
76.3 | even | 18 | 5776.2.a.bv.1.4 | 4 | |||
76.35 | odd | 18 | 5776.2.a.bt.1.1 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.1 | ✓ | 4 | 19.3 | odd | 18 | ||
722.2.a.n.1.4 | yes | 4 | 19.16 | even | 9 | ||
722.2.c.m.429.1 | 8 | 19.17 | even | 9 | |||
722.2.c.m.653.1 | 8 | 19.5 | even | 9 | |||
722.2.c.n.429.4 | 8 | 19.2 | odd | 18 | |||
722.2.c.n.653.4 | 8 | 19.14 | odd | 18 | |||
722.2.e.r.99.4 | 24 | 19.6 | even | 9 | inner | ||
722.2.e.r.245.4 | 24 | 1.1 | even | 1 | trivial | ||
722.2.e.r.389.4 | 24 | 19.9 | even | 9 | inner | ||
722.2.e.r.415.1 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.r.423.4 | 24 | 19.11 | even | 3 | inner | ||
722.2.e.r.595.1 | 24 | 19.4 | even | 9 | inner | ||
722.2.e.s.99.1 | 24 | 19.13 | odd | 18 | |||
722.2.e.s.245.1 | 24 | 19.18 | odd | 2 | |||
722.2.e.s.389.1 | 24 | 19.10 | odd | 18 | |||
722.2.e.s.415.4 | 24 | 19.12 | odd | 6 | |||
722.2.e.s.423.1 | 24 | 19.8 | odd | 6 | |||
722.2.e.s.595.4 | 24 | 19.15 | odd | 18 | |||
5776.2.a.bt.1.1 | 4 | 76.35 | odd | 18 | |||
5776.2.a.bv.1.4 | 4 | 76.3 | even | 18 | |||
6498.2.a.bx.1.3 | 4 | 57.35 | odd | 18 | |||
6498.2.a.ca.1.3 | 4 | 57.41 | even | 18 |