Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [900,2,Mod(127,900)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(900, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("900.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 900 = 2^{2} \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 900.bj (of order \(20\), degree \(8\), 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: | \(7.18653618192\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 300) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 127.4 | ||
Character | \(\chi\) | \(=\) | 900.127 |
Dual form | 900.2.bj.f.163.4 |
$q$-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 \(\left(\mathbb{Z}/900\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(451\) | \(577\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{1}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.33300 | + | 0.472333i | −0.942577 | + | 0.333990i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.55380 | − | 1.25924i | 0.776902 | − | 0.629622i | ||||
\(5\) | −1.01218 | − | 1.99386i | −0.452662 | − | 0.891682i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.189838 | − | 0.189838i | 0.0717522 | − | 0.0717522i | −0.670320 | − | 0.742072i | \(-0.733843\pi\) |
0.742072 | + | 0.670320i | \(0.233843\pi\) | |||||||
\(8\) | −1.47645 | + | 2.41249i | −0.522003 | + | 0.852944i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.29101 | + | 2.17974i | 0.724481 | + | 0.689295i | ||||
\(11\) | −2.68290 | − | 3.69270i | −0.808925 | − | 1.11339i | −0.991488 | − | 0.130196i | \(-0.958439\pi\) |
0.182563 | − | 0.983194i | \(-0.441561\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.66631 | + | 0.263917i | −0.462151 | + | 0.0731975i | −0.383168 | − | 0.923678i | \(-0.625167\pi\) |
−0.0789825 | + | 0.996876i | \(0.525167\pi\) | |||||||
\(14\) | −0.163389 | + | 0.342722i | −0.0436675 | + | 0.0915964i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.828612 | − | 3.91323i | 0.207153 | − | 0.978309i | ||||
\(17\) | −2.52266 | + | 4.95101i | −0.611836 | + | 1.20080i | 0.352425 | + | 0.935840i | \(0.385357\pi\) |
−0.964261 | + | 0.264955i | \(0.914643\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.186788 | − | 0.574876i | −0.0428522 | − | 0.131886i | 0.927342 | − | 0.374216i | \(-0.122088\pi\) |
−0.970194 | + | 0.242331i | \(0.922088\pi\) | |||||||
\(20\) | −4.08349 | − | 1.82349i | −0.913096 | − | 0.407744i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 5.32050 | + | 3.65516i | 1.13434 | + | 0.779283i | ||||
\(23\) | 3.67098 | + | 0.581426i | 0.765452 | + | 0.121236i | 0.526939 | − | 0.849903i | \(-0.323340\pi\) |
0.238514 | + | 0.971139i | \(0.423340\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.95097 | + | 4.03631i | −0.590194 | + | 0.807261i | ||||
\(26\) | 2.09654 | − | 1.13886i | 0.411165 | − | 0.223348i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.0559189 | − | 0.534025i | 0.0105677 | − | 0.100921i | ||||
\(29\) | −3.14920 | − | 1.02324i | −0.584791 | − | 0.190010i | 0.00165467 | − | 0.999999i | \(-0.499473\pi\) |
−0.586446 | + | 0.809988i | \(0.699473\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.47245 | + | 2.10303i | −1.16249 | + | 0.377715i | −0.825834 | − | 0.563914i | \(-0.809295\pi\) |
−0.336653 | + | 0.941629i | \(0.609295\pi\) | |||||||
\(32\) | 0.743804 | + | 5.60774i | 0.131487 | + | 0.991318i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.02420 | − | 7.79125i | 0.175649 | − | 1.33619i | ||||
\(35\) | −0.570663 | − | 0.186361i | −0.0964596 | − | 0.0315007i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.372643 | − | 2.35278i | −0.0612621 | − | 0.386794i | −0.999200 | − | 0.0399907i | \(-0.987267\pi\) |
0.937938 | − | 0.346803i | \(-0.112733\pi\) | |||||||
\(38\) | 0.520523 | + | 0.678086i | 0.0844399 | + | 0.110000i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 6.30461 | + | 0.501950i | 0.996846 | + | 0.0793652i | ||||
\(41\) | 9.30874 | + | 6.76320i | 1.45378 | + | 1.05623i | 0.984929 | + | 0.172957i | \(0.0553323\pi\) |
0.468852 | + | 0.883277i | \(0.344668\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.00980686 | + | 0.00980686i | 0.00149553 | + | 0.00149553i | 0.707854 | − | 0.706359i | \(-0.249663\pi\) |
−0.706359 | + | 0.707854i | \(0.749663\pi\) | |||||||
\(44\) | −8.81871 | − | 2.35930i | −1.32947 | − | 0.355678i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −5.16806 | + | 0.958880i | −0.761989 | + | 0.141379i | ||||
\(47\) | 1.17702 | + | 2.31002i | 0.171685 | + | 0.336952i | 0.960776 | − | 0.277325i | \(-0.0894479\pi\) |
−0.789091 | + | 0.614277i | \(0.789448\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.92792i | 0.989703i | ||||||||
\(50\) | 2.02718 | − | 6.77426i | 0.286687 | − | 0.958024i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.25678 | + | 2.50836i | −0.312959 | + | 0.347848i | ||||
\(53\) | 4.53201 | + | 8.89456i | 0.622519 | + | 1.22176i | 0.959886 | + | 0.280389i | \(0.0904634\pi\) |
−0.337368 | + | 0.941373i | \(0.609537\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.64714 | + | 9.08702i | −0.626621 | + | 1.22529i | ||||
\(56\) | 0.177697 | + | 0.738270i | 0.0237458 | + | 0.0986554i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.68120 | − | 0.123490i | 0.614672 | − | 0.0162150i | ||||
\(59\) | −3.15728 | − | 2.29390i | −0.411043 | − | 0.298640i | 0.362981 | − | 0.931797i | \(-0.381759\pi\) |
−0.774024 | + | 0.633156i | \(0.781759\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −9.40115 | + | 6.83034i | −1.20369 | + | 0.874535i | −0.994643 | − | 0.103369i | \(-0.967038\pi\) |
−0.209051 | + | 0.977905i | \(0.567038\pi\) | |||||||
\(62\) | 7.63448 | − | 5.86050i | 0.969581 | − | 0.744284i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.64021 | − | 7.12382i | −0.455027 | − | 0.890478i | ||||
\(65\) | 2.21282 | + | 3.05526i | 0.274467 | + | 0.378958i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.49592 | − | 3.30984i | −0.793603 | − | 0.404361i | 0.00968402 | − | 0.999953i | \(-0.496917\pi\) |
−0.803287 | + | 0.595592i | \(0.796917\pi\) | |||||||
\(68\) | 2.31480 | + | 10.8695i | 0.280710 | + | 1.31813i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.848721 | − | 0.0211233i | 0.101442 | − | 0.00252471i | ||||
\(71\) | −12.6076 | − | 4.09646i | −1.49625 | − | 0.486160i | −0.557326 | − | 0.830294i | \(-0.688173\pi\) |
−0.938921 | + | 0.344134i | \(0.888173\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.770226 | + | 4.86301i | −0.0901481 | + | 0.569173i | 0.900727 | + | 0.434386i | \(0.143035\pi\) |
−0.990875 | + | 0.134786i | \(0.956965\pi\) | |||||||
\(74\) | 1.60803 | + | 2.96025i | 0.186929 | + | 0.344122i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.01414 | − | 0.658032i | −0.116330 | − | 0.0754814i | ||||
\(77\) | −1.21033 | − | 0.191698i | −0.137930 | − | 0.0218460i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.17182 | − | 12.8395i | 0.469366 | − | 1.44456i | −0.384042 | − | 0.923316i | \(-0.625468\pi\) |
0.853408 | − | 0.521244i | \(-0.174532\pi\) | |||||||
\(80\) | −8.64116 | + | 2.30877i | −0.966111 | + | 0.258128i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −15.6031 | − | 4.61855i | −1.72307 | − | 0.510034i | ||||
\(83\) | 3.42602 | − | 6.72394i | 0.376054 | − | 0.738048i | −0.622969 | − | 0.782247i | \(-0.714074\pi\) |
0.999023 | + | 0.0441989i | \(0.0140735\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 12.4250 | + | 0.0185208i | 1.34768 | + | 0.00200886i | ||||
\(86\) | −0.0177047 | − | 0.00844049i | −0.00190915 | − | 0.000910161i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 12.8698 | − | 1.02040i | 1.37192 | − | 0.108775i | ||||
\(89\) | −4.20350 | − | 5.78562i | −0.445570 | − | 0.613274i | 0.525869 | − | 0.850566i | \(-0.323740\pi\) |
−0.971438 | + | 0.237292i | \(0.923740\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.266228 | + | 0.366431i | −0.0279083 | + | 0.0384124i | ||||
\(92\) | 6.43614 | − | 3.71924i | 0.671014 | − | 0.387757i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.66007 | − | 2.52333i | −0.274365 | − | 0.260262i | ||||
\(95\) | −0.957159 | + | 0.954310i | −0.0982024 | + | 0.0979101i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.917106 | + | 0.467289i | −0.0931180 | + | 0.0474460i | −0.499929 | − | 0.866066i | \(-0.666641\pi\) |
0.406811 | + | 0.913512i | \(0.366641\pi\) | |||||||
\(98\) | −3.27228 | − | 9.23495i | −0.330551 | − | 0.932871i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.497459 | + | 9.98762i | 0.0497459 | + | 0.998762i | ||||
\(101\) | −6.65959 | −0.662654 | −0.331327 | − | 0.943516i | \(-0.607496\pi\) | ||||
−0.331327 | + | 0.943516i | \(0.607496\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −13.3848 | + | 6.81989i | −1.31884 | + | 0.671984i | −0.964736 | − | 0.263221i | \(-0.915215\pi\) |
−0.354107 | + | 0.935205i | \(0.615215\pi\) | |||||||
\(104\) | 1.82352 | − | 4.40961i | 0.178811 | − | 0.432398i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.2424 | − | 9.71588i | −0.994828 | − | 0.943690i | ||||
\(107\) | −11.3660 | + | 11.3660i | −1.09880 | + | 1.09880i | −0.104243 | + | 0.994552i | \(0.533242\pi\) |
−0.994552 | + | 0.104243i | \(0.966758\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.89523 | − | 5.36133i | 0.373095 | − | 0.513522i | −0.580643 | − | 0.814158i | \(-0.697199\pi\) |
0.953739 | + | 0.300636i | \(0.0971990\pi\) | |||||||
\(110\) | 1.90257 | − | 14.3080i | 0.181403 | − | 1.36422i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.585580 | − | 0.900185i | −0.0553321 | − | 0.0850595i | ||||
\(113\) | −16.3189 | + | 2.58466i | −1.53515 | + | 0.243144i | −0.866024 | − | 0.500002i | \(-0.833333\pi\) |
−0.669129 | + | 0.743146i | \(0.733333\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −2.55642 | − | 7.90794i | −0.238387 | − | 0.737419i | ||||
\(116\) | −6.18174 | + | 2.37570i | −0.573960 | + | 0.220578i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.29216 | + | 1.56649i | 0.487183 | + | 0.144207i | ||||
\(119\) | 0.460993 | + | 1.41879i | 0.0422591 | + | 0.130060i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.03887 | + | 9.35268i | −0.276261 | + | 0.850243i | ||||
\(122\) | 9.30559 | − | 13.5453i | 0.842489 | − | 1.22634i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −7.40870 | + | 11.4181i | −0.665321 | + | 1.02537i | ||||
\(125\) | 11.0348 | + | 1.79835i | 0.986979 | + | 0.160850i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.216773 | − | 1.36865i | 0.0192355 | − | 0.121448i | −0.976202 | − | 0.216863i | \(-0.930418\pi\) |
0.995438 | + | 0.0954145i | \(0.0304176\pi\) | |||||||
\(128\) | 8.21724 | + | 7.77670i | 0.726308 | + | 0.687369i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.39280 | − | 3.02748i | −0.385274 | − | 0.265528i | ||||
\(131\) | −18.9066 | + | 6.14313i | −1.65188 | + | 0.536728i | −0.979146 | − | 0.203158i | \(-0.934880\pi\) |
−0.672732 | + | 0.739886i | \(0.734880\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.144593 | − | 0.0736739i | −0.0125378 | − | 0.00638834i | ||||
\(134\) | 10.2224 | + | 1.34379i | 0.883084 | + | 0.116086i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −8.21967 | − | 13.3958i | −0.704831 | − | 1.14868i | ||||
\(137\) | 0.600835 | + | 3.79353i | 0.0513328 | + | 0.324103i | 0.999970 | + | 0.00773685i | \(0.00246274\pi\) |
−0.948637 | + | 0.316366i | \(0.897537\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 14.9655 | − | 10.8731i | 1.26936 | − | 0.922243i | 0.270182 | − | 0.962809i | \(-0.412916\pi\) |
0.999177 | + | 0.0405660i | \(0.0129161\pi\) | |||||||
\(140\) | −1.12137 | + | 0.429036i | −0.0947732 | + | 0.0362601i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 18.7409 | − | 0.494383i | 1.57270 | − | 0.0414877i | ||||
\(143\) | 5.44511 | + | 5.44511i | 0.455343 | + | 0.455343i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 1.14737 | + | 7.31477i | 0.0952840 | + | 0.607458i | ||||
\(146\) | −1.27025 | − | 6.84622i | −0.105126 | − | 0.566597i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.54173 | − | 3.18650i | −0.291129 | − | 0.261929i | ||||
\(149\) | − | 19.1283i | − | 1.56705i | −0.621359 | − | 0.783526i | \(-0.713419\pi\) | ||
0.621359 | − | 0.783526i | \(-0.286581\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 0.789590i | − | 0.0642559i | −0.999484 | − | 0.0321280i | \(-0.989772\pi\) | ||
0.999484 | − | 0.0321280i | \(-0.0102284\pi\) | |||||||
\(152\) | 1.66267 | + | 0.398148i | 0.134860 | + | 0.0322941i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.70393 | − | 0.316146i | 0.137306 | − | 0.0254758i | ||||
\(155\) | 10.7445 | + | 10.7765i | 0.863015 | + | 0.865592i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.986707 | + | 0.986707i | 0.0787478 | + | 0.0787478i | 0.745384 | − | 0.666636i | \(-0.232266\pi\) |
−0.666636 | + | 0.745384i | \(0.732266\pi\) | |||||||
\(158\) | 0.503478 | + | 19.0856i | 0.0400546 | + | 1.51837i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 10.4282 | − | 7.15910i | 0.824421 | − | 0.565977i | ||||
\(161\) | 0.807270 | − | 0.586516i | 0.0636218 | − | 0.0462240i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.18009 | + | 7.45082i | 0.0924320 | + | 0.583593i | 0.989817 | + | 0.142345i | \(0.0454641\pi\) |
−0.897385 | + | 0.441248i | \(0.854536\pi\) | |||||||
\(164\) | 22.9805 | − | 1.21329i | 1.79447 | − | 0.0947421i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.39096 | + | 10.5813i | −0.107960 | + | 0.821265i | ||||
\(167\) | 17.5211 | + | 8.92744i | 1.35582 | + | 0.690826i | 0.972525 | − | 0.232799i | \(-0.0747883\pi\) |
0.383298 | + | 0.923625i | \(0.374788\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.65680 | + | 3.13769i | −0.742831 | + | 0.241360i | ||||
\(170\) | −16.5714 | + | 5.84405i | −1.27097 | + | 0.448218i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.0275871 | + | 0.00288871i | 0.00210350 | + | 0.000220262i | ||||
\(173\) | 2.63941 | − | 16.6646i | 0.200670 | − | 1.26698i | −0.657435 | − | 0.753511i | \(-0.728359\pi\) |
0.858106 | − | 0.513473i | \(-0.171641\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.206038 | + | 1.32645i | 0.0155750 | + | 0.100271i | ||||
\(176\) | −16.6735 | + | 7.43901i | −1.25681 | + | 0.560736i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.33602 | + | 5.72681i | 0.624811 | + | 0.429242i | ||||
\(179\) | 0.708606 | − | 2.18087i | 0.0529637 | − | 0.163006i | −0.921076 | − | 0.389383i | \(-0.872688\pi\) |
0.974040 | + | 0.226377i | \(0.0726883\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.25840 | + | 13.1060i | 0.316525 | + | 0.974163i | 0.975122 | + | 0.221667i | \(0.0711499\pi\) |
−0.658598 | + | 0.752495i | \(0.728850\pi\) | |||||||
\(182\) | 0.181806 | − | 0.614203i | 0.0134763 | − | 0.0455277i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −6.82269 | + | 7.99776i | −0.502975 | + | 0.589603i | ||||
\(185\) | −4.31393 | + | 3.12444i | −0.317166 | + | 0.229713i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 25.0506 | − | 3.96763i | 1.83188 | − | 0.290142i | ||||
\(188\) | 4.73774 | + | 2.10717i | 0.345535 | + | 0.153682i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.825146 | − | 1.72420i | 0.0598624 | − | 0.125086i | ||||
\(191\) | 15.6587 | − | 21.5523i | 1.13302 | − | 1.55947i | 0.350821 | − | 0.936443i | \(-0.385903\pi\) |
0.782200 | − | 0.623027i | \(-0.214097\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 6.53786 | − | 6.53786i | 0.470605 | − | 0.470605i | −0.431505 | − | 0.902110i | \(-0.642017\pi\) |
0.902110 | + | 0.431505i | \(0.142017\pi\) | |||||||
\(194\) | 1.00179 | − | 1.05608i | 0.0719244 | − | 0.0758219i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 8.72394 | + | 10.7646i | 0.623139 | + | 0.768902i | ||||
\(197\) | −12.1115 | + | 6.17110i | −0.862906 | + | 0.439673i | −0.828668 | − | 0.559741i | \(-0.810901\pi\) |
−0.0342384 | + | 0.999414i | \(0.510901\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.41416 | 0.525576 | 0.262788 | − | 0.964854i | \(-0.415358\pi\) | ||||
0.262788 | + | 0.964854i | \(0.415358\pi\) | |||||||
\(200\) | −5.38059 | − | 13.0786i | −0.380465 | − | 0.924795i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 8.87726 | − | 3.14554i | 0.624602 | − | 0.221319i | ||||
\(203\) | −0.792088 | + | 0.403589i | −0.0555937 | + | 0.0283264i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.06274 | − | 25.4059i | 0.283754 | − | 1.77443i | ||||
\(206\) | 14.6207 | − | 15.4130i | 1.01867 | − | 1.07388i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.347953 | + | 6.73934i | −0.0241262 | + | 0.467289i | ||||
\(209\) | −1.62171 | + | 2.23209i | −0.112176 | + | 0.154397i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.85618 | + | 6.68396i | 0.334313 | + | 0.460142i | 0.942770 | − | 0.333445i | \(-0.108211\pi\) |
−0.608457 | + | 0.793587i | \(0.708211\pi\) | |||||||
\(212\) | 18.2423 | + | 8.11350i | 1.25288 | + | 0.557238i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.78242 | − | 20.5195i | 0.668713 | − | 1.40268i | ||||
\(215\) | 0.00962719 | − | 0.0294799i | 0.000656569 | − | 0.00201051i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.829485 | + | 1.62796i | −0.0563091 | + | 0.110513i | ||||
\(218\) | −2.66003 | + | 8.98652i | −0.180160 | + | 0.608644i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.22202 | + | 19.9713i | 0.284649 | + | 1.34647i | ||||
\(221\) | 2.89688 | − | 8.91568i | 0.194865 | − | 0.599733i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.16161 | − | 0.659135i | −0.278682 | − | 0.0441389i | 0.0155288 | − | 0.999879i | \(-0.495057\pi\) |
−0.294211 | + | 0.955741i | \(0.595057\pi\) | |||||||
\(224\) | 1.20577 | + | 0.923362i | 0.0805637 | + | 0.0616947i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 20.5324 | − | 11.1533i | 1.36579 | − | 0.741907i | ||||
\(227\) | 1.61847 | − | 10.2186i | 0.107421 | − | 0.678232i | −0.873936 | − | 0.486041i | \(-0.838441\pi\) |
0.981358 | − | 0.192191i | \(-0.0615594\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.55021 | − | 0.503695i | −0.102441 | − | 0.0332851i | 0.257348 | − | 0.966319i | \(-0.417151\pi\) |
−0.359789 | + | 0.933034i | \(0.617151\pi\) | |||||||
\(230\) | 7.14290 | + | 9.33384i | 0.470989 | + | 0.615455i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.11817 | − | 6.08665i | 0.467330 | − | 0.399608i | ||||
\(233\) | −2.66801 | − | 1.35942i | −0.174787 | − | 0.0890586i | 0.364408 | − | 0.931240i | \(-0.381271\pi\) |
−0.539195 | + | 0.842181i | \(0.681271\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.41451 | − | 4.68497i | 0.222738 | − | 0.305614i | ||||
\(236\) | −7.79438 | + | 0.411517i | −0.507371 | + | 0.0267875i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.28465 | − | 1.67351i | −0.0832713 | − | 0.108478i | ||||
\(239\) | 17.9159 | − | 13.0167i | 1.15888 | − | 0.841979i | 0.169248 | − | 0.985574i | \(-0.445866\pi\) |
0.989637 | + | 0.143595i | \(0.0458662\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.0614146 | − | 0.0446203i | −0.00395606 | − | 0.00287425i | 0.585805 | − | 0.810452i | \(-0.300778\pi\) |
−0.589762 | + | 0.807577i | \(0.700778\pi\) | |||||||
\(242\) | −0.366748 | − | 13.9025i | −0.0235754 | − | 0.893688i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −6.00649 | + | 22.4513i | −0.384526 | + | 1.43730i | ||||
\(245\) | 13.8133 | − | 7.01232i | 0.882501 | − | 0.448001i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.462967 | + | 0.908624i | 0.0294579 | + | 0.0578144i | ||||
\(248\) | 4.48270 | − | 18.7197i | 0.284652 | − | 1.18870i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −15.5588 | + | 2.81486i | −0.984025 | + | 0.178028i | ||||
\(251\) | 29.9398i | 1.88979i | 0.327379 | + | 0.944893i | \(0.393835\pi\) | ||||
−0.327379 | + | 0.944893i | \(0.606165\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.70185 | − | 15.1157i | −0.484211 | − | 0.950318i | ||||
\(254\) | 0.357499 | + | 1.92681i | 0.0224315 | + | 0.120899i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −14.6268 | − | 6.48511i | −0.914175 | − | 0.405319i | ||||
\(257\) | −14.7898 | − | 14.7898i | −0.922565 | − | 0.922565i | 0.0746451 | − | 0.997210i | \(-0.476218\pi\) |
−0.997210 | + | 0.0746451i | \(0.976218\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.517389 | − | 0.375905i | −0.0321490 | − | 0.0233576i | ||||
\(260\) | 7.28561 | + | 1.96079i | 0.451834 | + | 0.121603i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 22.3010 | − | 17.1190i | 1.37776 | − | 1.05762i | ||||
\(263\) | −4.13096 | − | 26.0818i | −0.254726 | − | 1.60827i | −0.700854 | − | 0.713305i | \(-0.747197\pi\) |
0.446128 | − | 0.894969i | \(-0.352803\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.1473 | − | 18.0391i | 0.807633 | − | 1.10813i | ||||
\(266\) | 0.227542 | + | 0.0299116i | 0.0139515 | + | 0.00183400i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −14.2613 | + | 3.03711i | −0.871146 | + | 0.185521i | ||||
\(269\) | 14.2213 | − | 4.62080i | 0.867091 | − | 0.281735i | 0.158504 | − | 0.987358i | \(-0.449333\pi\) |
0.708587 | + | 0.705623i | \(0.249333\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −8.37925 | − | 2.72258i | −0.509003 | − | 0.165385i | 0.0432457 | − | 0.999064i | \(-0.486230\pi\) |
−0.552249 | + | 0.833679i | \(0.686230\pi\) | |||||||
\(272\) | 17.2841 | + | 13.9742i | 1.04800 | + | 0.847313i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −2.59272 | − | 4.77299i | −0.156632 | − | 0.288347i | ||||
\(275\) | 22.8220 | + | 0.0680375i | 1.37622 | + | 0.00410281i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.96925 | − | 1.42059i | −0.538910 | − | 0.0853549i | −0.118955 | − | 0.992900i | \(-0.537954\pi\) |
−0.419955 | + | 0.907545i | \(0.637954\pi\) | |||||||
\(278\) | −14.8134 | + | 21.5626i | −0.888449 | + | 1.29324i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.29215 | − | 1.10157i | 0.0772205 | − | 0.0658312i | ||||
\(281\) | 8.89363 | + | 27.3718i | 0.530549 | + | 1.63286i | 0.753074 | + | 0.657936i | \(0.228570\pi\) |
−0.222525 | + | 0.974927i | \(0.571430\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.13832 | + | 15.9724i | −0.483773 | + | 0.949458i | 0.512120 | + | 0.858914i | \(0.328860\pi\) |
−0.995892 | + | 0.0905436i | \(0.971140\pi\) | |||||||
\(284\) | −24.7482 | + | 9.51094i | −1.46853 | + | 0.564371i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.83026 | − | 4.68646i | −0.581276 | − | 0.277116i | ||||
\(287\) | 3.05107 | − | 0.483242i | 0.180099 | − | 0.0285249i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −8.15628 | − | 11.2262i | −0.479781 | − | 0.660362i | ||||
\(290\) | −4.98445 | − | 9.20868i | −0.292697 | − | 0.540752i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.92694 | + | 8.52607i | 0.288327 | + | 0.498950i | ||||
\(293\) | 1.24037 | − | 1.24037i | 0.0724632 | − | 0.0724632i | −0.669946 | − | 0.742410i | \(-0.733683\pi\) |
0.742410 | + | 0.669946i | \(0.233683\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.37797 | + | 8.61703i | −0.0802287 | + | 0.501703i | ||||
\(296\) | 6.22624 | + | 2.57475i | 0.361893 | + | 0.149654i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 9.03492 | + | 25.4981i | 0.523379 | + | 1.47707i | ||||
\(299\) | −6.27044 | −0.362629 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.00372344 | 0.000214615 | ||||||||
\(302\) | 0.372949 | + | 1.05253i | 0.0214608 | + | 0.0605661i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.40440 | + | 0.254598i | −0.137902 | + | 0.0146022i | ||||
\(305\) | 23.1344 | + | 11.8311i | 1.32467 | + | 0.677444i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 11.6840 | − | 11.6840i | 0.666844 | − | 0.666844i | −0.290140 | − | 0.956984i | \(-0.593702\pi\) |
0.956984 | + | 0.290140i | \(0.0937020\pi\) | |||||||
\(308\) | −2.12202 | + | 1.22624i | −0.120913 | + | 0.0698717i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −19.4125 | − | 9.29022i | −1.10256 | − | 0.527649i | ||||
\(311\) | −3.31285 | − | 4.55974i | −0.187854 | − | 0.258559i | 0.704694 | − | 0.709512i | \(-0.251084\pi\) |
−0.892548 | + | 0.450952i | \(0.851084\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −17.7167 | + | 2.80604i | −1.00141 | + | 0.158607i | −0.635546 | − | 0.772063i | \(-0.719225\pi\) |
−0.365859 | + | 0.930670i | \(0.619225\pi\) | |||||||
\(314\) | −1.78134 | − | 0.849231i | −0.100527 | − | 0.0479249i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −9.68591 | − | 25.2034i | −0.544875 | − | 1.41780i | ||||
\(317\) | −4.15260 | + | 8.14994i | −0.233233 | + | 0.457746i | −0.977726 | − | 0.209884i | \(-0.932691\pi\) |
0.744493 | + | 0.667630i | \(0.232691\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.67049 | + | 14.3743i | 0.261497 | + | 0.804805i | ||||
\(320\) | −10.5194 | + | 14.4687i | −0.588050 | + | 0.808825i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.799064 | + | 1.16313i | −0.0445301 | + | 0.0648186i | ||||
\(323\) | 3.31742 | + | 0.525427i | 0.184586 | + | 0.0292356i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 3.85198 | − | 7.50454i | 0.213669 | − | 0.416277i | ||||
\(326\) | −5.09233 | − | 9.37458i | −0.282038 | − | 0.519210i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −30.0600 | + | 12.4718i | −1.65979 | + | 0.688637i | ||||
\(329\) | 0.661974 | + | 0.215089i | 0.0364958 | + | 0.0118582i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.07411 | + | 2.29852i | −0.388828 | + | 0.126338i | −0.496906 | − | 0.867804i | \(-0.665531\pi\) |
0.108077 | + | 0.994142i | \(0.465531\pi\) | |||||||
\(332\) | −3.14371 | − | 14.7619i | −0.172534 | − | 0.810163i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −27.5724 | − | 3.62454i | −1.50870 | − | 0.198326i | ||||
\(335\) | −0.0243001 | + | 16.3021i | −0.00132765 | + | 0.890680i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1.87071 | + | 11.8112i | 0.101904 | + | 0.643398i | 0.984782 | + | 0.173795i | \(0.0556030\pi\) |
−0.882878 | + | 0.469603i | \(0.844397\pi\) | |||||||
\(338\) | 11.3905 | − | 8.74377i | 0.619563 | − | 0.475599i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 19.3294 | − | 15.6173i | 1.04828 | − | 0.846969i | ||||
\(341\) | 25.1308 | + | 18.2586i | 1.36091 | + | 0.988759i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.64406 | + | 2.64406i | 0.142766 | + | 0.142766i | ||||
\(344\) | −0.0381382 | + | 0.00917964i | −0.00205628 | + | 0.000494933i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 4.35287 | + | 23.4606i | 0.234012 | + | 1.26125i | ||||
\(347\) | −15.3433 | − | 30.1129i | −0.823672 | − | 1.61655i | −0.786784 | − | 0.617228i | \(-0.788255\pi\) |
−0.0368882 | − | 0.999319i | \(-0.511745\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | − | 27.4462i | − | 1.46916i | −0.678523 | − | 0.734579i | \(-0.737380\pi\) | ||
0.678523 | − | 0.734579i | \(-0.262620\pi\) | |||||||
\(350\) | −0.901177 | − | 1.67085i | −0.0481699 | − | 0.0893108i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 18.7121 | − | 17.7917i | 0.997360 | − | 0.948299i | ||||
\(353\) | −4.86385 | − | 9.54584i | −0.258876 | − | 0.508074i | 0.724586 | − | 0.689184i | \(-0.242031\pi\) |
−0.983463 | + | 0.181110i | \(0.942031\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.59342 | + | 29.2842i | 0.243794 | + | 1.55424i | ||||
\(356\) | −13.8169 | − | 3.69649i | −0.732295 | − | 0.195913i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.0855185 | + | 3.24180i | 0.00451980 | + | 0.171335i | ||||
\(359\) | 10.7538 | + | 7.81307i | 0.567562 | + | 0.412358i | 0.834219 | − | 0.551434i | \(-0.185919\pi\) |
−0.266657 | + | 0.963792i | \(0.585919\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 15.0757 | − | 10.9532i | 0.793460 | − | 0.576482i | ||||
\(362\) | −11.8669 | − | 15.4590i | −0.623709 | − | 0.812507i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0.0477602 | + | 0.904608i | 0.00250332 | + | 0.0474143i | ||||
\(365\) | 10.4758 | − | 3.38653i | 0.548328 | − | 0.177259i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −23.2351 | − | 11.8389i | −1.21286 | − | 0.617983i | −0.273817 | − | 0.961782i | \(-0.588286\pi\) |
−0.939043 | + | 0.343799i | \(0.888286\pi\) | |||||||
\(368\) | 5.31708 | − | 13.8836i | 0.277172 | − | 0.723734i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 4.27471 | − | 6.20250i | 0.222232 | − | 0.322453i | ||||
\(371\) | 2.54888 | + | 0.828181i | 0.132331 | + | 0.0429970i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.62618 | + | 29.2086i | −0.239535 | + | 1.51236i | 0.515621 | + | 0.856817i | \(0.327561\pi\) |
−0.755156 | + | 0.655545i | \(0.772439\pi\) | |||||||
\(374\) | −31.5186 | + | 17.1211i | −1.62979 | + | 0.885311i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −7.31071 | − | 0.571087i | −0.377021 | − | 0.0294516i | ||||
\(377\) | 5.51758 | + | 0.873899i | 0.284170 | + | 0.0450081i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.98387 | + | 18.4165i | −0.307371 | + | 0.945990i | 0.671411 | + | 0.741085i | \(0.265689\pi\) |
−0.978782 | + | 0.204905i | \(0.934311\pi\) | |||||||
\(380\) | −0.285529 | + | 2.68811i | −0.0146473 | + | 0.137897i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −10.6932 | + | 36.1254i | −0.547113 | + | 1.84834i | ||||
\(383\) | −4.35881 | + | 8.55465i | −0.222725 | + | 0.437122i | −0.975147 | − | 0.221559i | \(-0.928885\pi\) |
0.752422 | + | 0.658681i | \(0.228885\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.842860 | + | 2.60727i | 0.0429561 | + | 0.132879i | ||||
\(386\) | −5.62695 | + | 11.8030i | −0.286404 | + | 0.600759i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.836572 | + | 1.88093i | −0.0424705 | + | 0.0954900i | ||||
\(389\) | −11.3570 | − | 15.6316i | −0.575825 | − | 0.792555i | 0.417405 | − | 0.908721i | \(-0.362940\pi\) |
−0.993230 | + | 0.116166i | \(0.962940\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −12.1393 | + | 16.7083i | −0.613910 | + | 0.844975i | ||||
\(392\) | −16.7135 | − | 10.2287i | −0.844161 | − | 0.516628i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 13.2298 | − | 13.9467i | 0.666509 | − | 0.702627i | ||||
\(395\) | −29.8229 | + | 4.67792i | −1.50055 | + | 0.235372i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 17.5405 | − | 8.93731i | 0.880331 | − | 0.448551i | 0.0454402 | − | 0.998967i | \(-0.485531\pi\) |
0.834890 | + | 0.550416i | \(0.185531\pi\) | |||||||
\(398\) | −9.88311 | + | 3.50195i | −0.495395 | + | 0.175537i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 13.3498 | + | 14.8924i | 0.667490 | + | 0.744619i | ||||
\(401\) | −33.9482 | −1.69529 | −0.847645 | − | 0.530564i | \(-0.821980\pi\) | ||||
−0.847645 | + | 0.530564i | \(0.821980\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 10.2301 | − | 5.21249i | 0.509597 | − | 0.259652i | ||||
\(404\) | −10.3477 | + | 8.38604i | −0.514817 | + | 0.417221i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.865229 | − | 0.912115i | 0.0429406 | − | 0.0452675i | ||||
\(407\) | −7.68833 | + | 7.68833i | −0.381096 | + | 0.381096i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 8.02687 | − | 11.0480i | 0.396903 | − | 0.546291i | −0.563060 | − | 0.826416i | \(-0.690376\pi\) |
0.959963 | + | 0.280125i | \(0.0903760\pi\) | |||||||
\(410\) | 6.58441 | + | 35.7852i | 0.325181 | + | 1.76731i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −12.2094 | + | 27.4515i | −0.601516 | + | 1.35244i | ||||
\(413\) | −1.03484 | + | 0.163903i | −0.0509214 | + | 0.00806515i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.8744 | − | 0.0251530i | −0.828330 | − | 0.00123471i | ||||
\(416\) | −2.71939 | − | 9.14792i | −0.133329 | − | 0.448514i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.10746 | − | 3.74137i | 0.0541674 | − | 0.182996i | ||||
\(419\) | 2.10539 | + | 6.47973i | 0.102855 | + | 0.316555i | 0.989221 | − | 0.146430i | \(-0.0467783\pi\) |
−0.886366 | + | 0.462985i | \(0.846778\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.96818 | − | 12.2128i | 0.193397 | − | 0.595215i | −0.806594 | − | 0.591105i | \(-0.798692\pi\) |
0.999992 | − | 0.00410979i | \(-0.00130819\pi\) | |||||||
\(422\) | −9.63036 | − | 6.61601i | −0.468799 | − | 0.322062i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −28.1493 | − | 2.19892i | −1.36705 | − | 0.106789i | ||||
\(425\) | −12.5395 | − | 24.7925i | −0.608253 | − | 1.20261i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.488040 | + | 3.08136i | −0.0236179 | + | 0.149118i | ||||
\(428\) | −3.34798 | + | 31.9732i | −0.161831 | + | 1.54548i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0.00109121 | + | 0.0438440i | 5.26226e−5 | + | 0.00211435i | ||||
\(431\) | −3.23293 | + | 1.05044i | −0.155725 | + | 0.0505981i | −0.385842 | − | 0.922565i | \(-0.626089\pi\) |
0.230117 | + | 0.973163i | \(0.426089\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3.04817 | + | 1.55312i | 0.146486 | + | 0.0746383i | 0.525697 | − | 0.850672i | \(-0.323805\pi\) |
−0.379211 | + | 0.925310i | \(0.623805\pi\) | |||||||
\(434\) | 0.336771 | − | 2.56187i | 0.0161655 | − | 0.122974i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.698789 | − | 13.2355i | −0.0334659 | − | 0.633865i | ||||
\(437\) | −0.351449 | − | 2.21896i | −0.0168121 | − | 0.106147i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.2122 | − | 11.7788i | 0.773766 | − | 0.562174i | −0.129336 | − | 0.991601i | \(-0.541285\pi\) |
0.903102 | + | 0.429427i | \(0.141285\pi\) | |||||||
\(440\) | −15.0611 | − | 24.6277i | −0.718009 | − | 1.17408i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.349612 | + | 13.2529i | 0.0166293 | + | 0.630378i | ||||
\(443\) | −10.2267 | − | 10.2267i | −0.485887 | − | 0.485887i | 0.421119 | − | 0.907006i | \(-0.361638\pi\) |
−0.907006 | + | 0.421119i | \(0.861638\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −7.28102 | + | 14.2373i | −0.345153 | + | 0.674912i | ||||
\(446\) | 5.85878 | − | 1.08704i | 0.277421 | − | 0.0514726i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.04343 | − | 0.661323i | −0.0965429 | − | 0.0312446i | ||||
\(449\) | 20.1223i | 0.949629i | 0.880086 | + | 0.474814i | \(0.157485\pi\) | ||||
−0.880086 | + | 0.474814i | \(0.842515\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − | 52.5194i | − | 2.47304i | ||||||
\(452\) | −22.1017 | + | 24.5655i | −1.03957 | + | 1.15547i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.66915 | + | 14.3859i | 0.125270 | + | 0.675163i | ||||
\(455\) | 1.00008 | + | 0.159926i | 0.0468847 | + | 0.00749746i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.50274 | + | 5.50274i | 0.257407 | + | 0.257407i | 0.823999 | − | 0.566591i | \(-0.191738\pi\) |
−0.566591 | + | 0.823999i | \(0.691738\pi\) | |||||||
\(458\) | 2.30436 | − | 0.0607887i | 0.107675 | − | 0.00284047i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −13.9302 | − | 9.06823i | −0.649499 | − | 0.422808i | ||||
\(461\) | −1.99209 | + | 1.44734i | −0.0927808 | + | 0.0674092i | −0.633209 | − | 0.773981i | \(-0.718262\pi\) |
0.540428 | + | 0.841390i | \(0.318262\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −5.26029 | − | 33.2122i | −0.244467 | − | 1.54350i | −0.738617 | − | 0.674125i | \(-0.764521\pi\) |
0.494151 | − | 0.869376i | \(-0.335479\pi\) | |||||||
\(464\) | −6.61362 | + | 11.4757i | −0.307030 | + | 0.532745i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 4.19857 | + | 0.551925i | 0.194495 | + | 0.0255674i | ||||
\(467\) | −9.58390 | − | 4.88324i | −0.443490 | − | 0.225969i | 0.217962 | − | 0.975957i | \(-0.430059\pi\) |
−0.661452 | + | 0.749988i | \(0.730059\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.86151 | + | 0.604841i | −0.0859565 | + | 0.0279290i | ||||
\(470\) | −2.33870 | + | 7.85788i | −0.107876 | + | 0.362457i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 10.1956 | − | 4.23009i | 0.469289 | − | 0.194706i | ||||
\(473\) | 0.00990292 | − | 0.0625246i | 0.000455337 | − | 0.00287488i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.87158 | + | 0.942507i | 0.131757 | + | 0.0432452i | ||||
\(476\) | 2.50289 | + | 1.62402i | 0.114720 | + | 0.0744368i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −17.7338 | + | 25.8136i | −0.811125 | + | 1.18068i | ||||
\(479\) | −7.08607 | + | 21.8087i | −0.323771 | + | 0.996464i | 0.648221 | + | 0.761452i | \(0.275513\pi\) |
−0.971992 | + | 0.235012i | \(0.924487\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.24188 | + | 3.82210i | 0.0566247 | + | 0.174273i | ||||
\(482\) | 0.102942 | + | 0.0304710i | 0.00468886 | + | 0.00138792i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.05549 | + | 18.3589i | 0.320704 | + | 0.834495i | ||||
\(485\) | 1.85999 | + | 1.35560i | 0.0844577 | + | 0.0615547i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.6355 | − | 2.63480i | 0.753826 | − | 0.119394i | 0.232317 | − | 0.972640i | \(-0.425369\pi\) |
0.521509 | + | 0.853246i | \(0.325369\pi\) | |||||||
\(488\) | −2.59782 | − | 32.7648i | −0.117598 | − | 1.48319i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −15.1011 | + | 15.8719i | −0.682197 | + | 0.717021i | ||||
\(491\) | −6.71450 | + | 9.24172i | −0.303021 | + | 0.417073i | −0.933189 | − | 0.359386i | \(-0.882986\pi\) |
0.630168 | + | 0.776459i | \(0.282986\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 13.0104 | − | 13.0104i | 0.585959 | − | 0.585959i | ||||
\(494\) | −1.04631 | − | 0.992526i | −0.0470757 | − | 0.0446558i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.86649 | + | 27.0708i | 0.128709 | + | 1.21552i | ||||
\(497\) | −3.17107 | + | 1.61574i | −0.142242 | + | 0.0724759i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −41.8728 | −1.87448 | −0.937242 | − | 0.348679i | \(-0.886630\pi\) | ||||
−0.937242 | + | 0.348679i | \(0.886630\pi\) | |||||||
\(500\) | 19.4104 | − | 11.1012i | 0.868060 | − | 0.496459i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −14.1416 | − | 39.9100i | −0.631169 | − | 1.78127i | ||||
\(503\) | −21.0178 | + | 10.7091i | −0.937139 | + | 0.477496i | −0.854713 | − | 0.519101i | \(-0.826267\pi\) |
−0.0824263 | + | 0.996597i | \(0.526267\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.74072 | + | 13.2783i | 0.299958 | + | 0.590877i | ||||
\(506\) | 17.4063 | + | 16.5115i | 0.773802 | + | 0.734026i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.38664 | − | 2.39958i | −0.0615223 | − | 0.106464i | ||||
\(509\) | 22.3651 | − | 30.7830i | 0.991318 | − | 1.36443i | 0.0608138 | − | 0.998149i | \(-0.480630\pi\) |
0.930504 | − | 0.366282i | \(-0.119370\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0.776968 | + | 1.06941i | 0.0343711 | + | 0.0473077i | ||||
\(512\) | 22.5607 | + | 1.73596i | 0.997053 | + | 0.0767194i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 26.7007 | + | 12.7292i | 1.17772 | + | 0.561461i | ||||
\(515\) | 27.1458 | + | 19.7845i | 1.19619 | + | 0.871807i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 5.37240 | − | 10.5439i | 0.236278 | − | 0.463722i | ||||
\(518\) | 0.867235 | + | 0.256704i | 0.0381041 | + | 0.0112789i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −10.6379 | + | 0.827492i | −0.466502 | + | 0.0362879i | ||||
\(521\) | −2.57819 | + | 7.93486i | −0.112953 | + | 0.347632i | −0.991515 | − | 0.129996i | \(-0.958504\pi\) |
0.878562 | + | 0.477629i | \(0.158504\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 32.5180 | + | 5.15034i | 1.42191 | + | 0.225209i | 0.819547 | − | 0.573012i | \(-0.194225\pi\) |
0.602365 | + | 0.798221i | \(0.294225\pi\) | |||||||
\(524\) | −21.6415 | + | 33.3532i | −0.945412 | + | 1.45704i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 17.8259 | + | 32.8160i | 0.777245 | + | 1.43085i | ||||
\(527\) | 5.91572 | − | 37.3504i | 0.257693 | − | 1.62701i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −8.73626 | − | 2.83858i | −0.379837 | − | 0.123417i | ||||
\(530\) | −9.00497 | + | 30.2561i | −0.391151 | + | 1.31424i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.317443 | + | 0.0676032i | −0.0137629 | + | 0.00293097i | ||||
\(533\) | −17.2962 | − | 8.81284i | −0.749180 | − | 0.381726i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 34.1668 | + | 11.1578i | 1.47716 | + | 0.482393i | ||||
\(536\) | 17.5758 | − | 10.7845i | 0.759160 | − | 0.465821i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −16.7746 | + | 12.8767i | −0.723203 | + | 0.555156i | ||||
\(539\) | 25.5827 | − | 18.5869i | 1.10193 | − | 0.800596i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.48590 | − | 5.43883i | −0.321844 | − | 0.233833i | 0.415118 | − | 0.909768i | \(-0.363740\pi\) |
−0.736962 | + | 0.675934i | \(0.763740\pi\) | |||||||
\(542\) | 12.4555 | − | 0.328576i | 0.535011 | − | 0.0141136i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −29.6403 | − | 10.4639i | −1.27082 | − | 0.448634i | ||||
\(545\) | −14.6324 | − | 2.33991i | −0.626784 | − | 0.100231i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 6.35363 | + | 12.4697i | 0.271662 | + | 0.533166i | 0.986023 | − | 0.166611i | \(-0.0532825\pi\) |
−0.714361 | + | 0.699777i | \(0.753283\pi\) | |||||||
\(548\) | 5.71055 | + | 5.13780i | 0.243943 | + | 0.219476i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −30.4540 | + | 10.6889i | −1.29856 | + | 0.455776i | ||||
\(551\) | 2.00153i | 0.0852679i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1.64547 | − | 3.22941i | −0.0699723 | − | 0.137328i | ||||
\(554\) | 12.6270 | − | 2.34282i | 0.536472 | − | 0.0995367i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.56162 | − | 35.7399i | 0.405503 | − | 1.51571i | ||||
\(557\) | −2.87624 | − | 2.87624i | −0.121870 | − | 0.121870i | 0.643541 | − | 0.765411i | \(-0.277464\pi\) |
−0.765411 | + | 0.643541i | \(0.777464\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.0189295 | − | 0.0137531i | −0.000800630 | − | 0.000581692i | ||||
\(560\) | −1.20213 | + | 2.07872i | −0.0507993 | + | 0.0878418i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −24.7838 | − | 32.2860i | −1.04544 | − | 1.36190i | ||||
\(563\) | −3.30793 | − | 20.8854i | −0.139412 | − | 0.880216i | −0.953920 | − | 0.300062i | \(-0.902993\pi\) |
0.814507 | − | 0.580153i | \(-0.197007\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 21.6712 | + | 29.9215i | 0.911713 | + | 1.25881i | ||||
\(566\) | 3.30416 | − | 25.1352i | 0.138884 | − | 1.05651i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 28.4971 | − | 24.3675i | 1.19571 | − | 1.02244i | ||||
\(569\) | −3.40048 | + | 1.10488i | −0.142556 | + | 0.0463192i | −0.379426 | − | 0.925222i | \(-0.623878\pi\) |
0.236870 | + | 0.971541i | \(0.423878\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.6049 | + | 3.44576i | 0.443803 | + | 0.144200i | 0.522390 | − | 0.852707i | \(-0.325041\pi\) |
−0.0785864 | + | 0.996907i | \(0.525041\pi\) | |||||||
\(572\) | 15.3174 | + | 1.60391i | 0.640451 | + | 0.0670630i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.83884 | + | 2.08529i | −0.160230 | + | 0.0870381i | ||||
\(575\) | −13.1798 | + | 13.1014i | −0.549635 | + | 0.546367i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −38.4820 | − | 6.09495i | −1.60203 | − | 0.253736i | −0.709491 | − | 0.704714i | \(-0.751075\pi\) |
−0.892535 | + | 0.450979i | \(0.851075\pi\) | |||||||
\(578\) | 16.1748 | + | 11.1120i | 0.672785 | + | 0.462200i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 10.9939 | + | 9.92089i | 0.456495 | + | 0.411943i | ||||
\(581\) | −0.626072 | − | 1.92685i | −0.0259738 | − | 0.0799393i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 20.6860 | − | 40.5986i | 0.856727 | − | 1.68142i | ||||
\(584\) | −10.5948 | − | 9.03814i | −0.438415 | − | 0.374001i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.06755 | + | 2.23929i | −0.0441002 | + | 0.0925041i | ||||
\(587\) | −15.7614 | + | 2.49636i | −0.650542 | + | 0.103036i | −0.472979 | − | 0.881074i | \(-0.656821\pi\) |
−0.177563 | + | 0.984109i | \(0.556821\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.41796 | + | 3.32804i | 0.0996303 | + | 0.137129i | ||||
\(590\) | −2.23326 | − | 12.1374i | −0.0919419 | − | 0.499689i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −9.51574 | − | 0.491299i | −0.391094 | − | 0.0201923i | ||||
\(593\) | −6.24575 | + | 6.24575i | −0.256482 | + | 0.256482i | −0.823622 | − | 0.567140i | \(-0.808050\pi\) |
0.567140 | + | 0.823622i | \(0.308050\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.36226 | − | 2.35523i | 0.0968433 | − | 0.0965550i | ||||
\(596\) | −24.0872 | − | 29.7216i | −0.986650 | − | 1.21745i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.35852 | − | 2.96173i | 0.341805 | − | 0.121114i | ||||
\(599\) | −19.3797 | −0.791832 | −0.395916 | − | 0.918287i | \(-0.629573\pi\) | ||||
−0.395916 | + | 0.918287i | \(0.629573\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.8893 | 0.892883 | 0.446441 | − | 0.894813i | \(-0.352691\pi\) | ||||
0.446441 | + | 0.894813i | \(0.352691\pi\) | |||||||
\(602\) | −0.00496336 | + | 0.00175870i | −0.000202291 | + | 7.16793e-5i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −0.994286 | − | 1.22687i | −0.0404569 | − | 0.0499206i | ||||
\(605\) | 21.7238 | − | 3.40753i | 0.883199 | − | 0.138536i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −26.4147 | + | 26.4147i | −1.07214 | + | 1.07214i | −0.0749533 | + | 0.997187i | \(0.523881\pi\) |
−0.997187 | + | 0.0749533i | \(0.976119\pi\) | |||||||
\(608\) | 3.08482 | − | 1.47506i | 0.125106 | − | 0.0598214i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −36.4265 | − | 4.84370i | −1.47487 | − | 0.196116i | ||||
\(611\) | −2.57093 | − | 3.53858i | −0.104009 | − | 0.143156i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −23.7116 | + | 3.75555i | −0.957703 | + | 0.151685i | −0.615671 | − | 0.788003i | \(-0.711115\pi\) |
−0.342032 | + | 0.939688i | \(0.611115\pi\) | |||||||
\(614\) | −10.0561 | + | 21.0937i | −0.405833 | + | 0.851270i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.24946 | − | 2.63689i | 0.0906334 | − | 0.106243i | ||||
\(617\) | −19.1096 | + | 37.5048i | −0.769325 | + | 1.50989i | 0.0885751 | + | 0.996070i | \(0.471769\pi\) |
−0.857900 | + | 0.513816i | \(0.828231\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 0.176865 | + | 0.544334i | 0.00710880 | + | 0.0218786i | 0.954548 | − | 0.298057i | \(-0.0963386\pi\) |
−0.947439 | + | 0.319936i | \(0.896339\pi\) | |||||||
\(620\) | 30.2651 | + | 3.21474i | 1.21547 | + | 0.129107i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 6.56976 | + | 4.51339i | 0.263423 | + | 0.180971i | ||||
\(623\) | −1.89632 | − | 0.300347i | −0.0759744 | − | 0.0120332i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −7.58352 | − | 23.8221i | −0.303341 | − | 0.952882i | ||||
\(626\) | 22.2910 | − | 12.1086i | 0.890928 | − | 0.483958i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.77565 | + | 0.290645i | 0.110761 | + | 0.0115980i | ||||
\(629\) | 12.5887 | + | 4.09030i | 0.501943 | + | 0.163091i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.1577 | − | 3.95028i | 0.483991 | − | 0.157258i | −0.0568504 | − | 0.998383i | \(-0.518106\pi\) |
0.540842 | + | 0.841124i | \(0.318106\pi\) | |||||||
\(632\) | 24.8158 | + | 29.0213i | 0.987118 | + | 1.15441i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 1.68596 | − | 12.8253i | 0.0669579 | − | 0.509359i | ||||
\(635\) | −2.94831 | + | 0.953109i | −0.117000 | + | 0.0378230i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −1.82840 | − | 11.5441i | −0.0724438 | − | 0.457392i | ||||
\(638\) | −13.0152 | − | 16.9550i | −0.515277 | − | 0.671253i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 7.18832 | − | 24.2555i | 0.284143 | − | 0.958782i | ||||
\(641\) | 0.248557 | + | 0.180587i | 0.00981740 | + | 0.00713276i | 0.592683 | − | 0.805436i | \(-0.298069\pi\) |
−0.582866 | + | 0.812568i | \(0.698069\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −16.7114 | − | 16.7114i | −0.659034 | − | 0.659034i | 0.296117 | − | 0.955152i | \(-0.404308\pi\) |
−0.955152 | + | 0.296117i | \(0.904308\pi\) | |||||||
\(644\) | 0.515773 | − | 1.92788i | 0.0203243 | − | 0.0759691i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.67031 | + | 0.866527i | −0.183751 | + | 0.0340931i | ||||
\(647\) | 0.506217 | + | 0.993506i | 0.0199014 | + | 0.0390588i | 0.900743 | − | 0.434352i | \(-0.143023\pi\) |
−0.880842 | + | 0.473411i | \(0.843023\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 17.8132i | 0.699229i | ||||||||
\(650\) | −1.59007 | + | 11.8230i | −0.0623676 | + | 0.463737i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 11.2160 | + | 10.0911i | 0.439253 | + | 0.395197i | ||||
\(653\) | −7.76292 | − | 15.2356i | −0.303786 | − | 0.596214i | 0.687764 | − | 0.725934i | \(-0.258592\pi\) |
−0.991551 | + | 0.129720i | \(0.958592\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 31.3855 | + | 31.4792i | 1.22633 | + | 1.22999i | ||||
\(656\) | 34.1793 | − | 30.8232i | 1.33448 | − | 1.20344i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.984008 | + | 0.0259581i | −0.0383606 | + | 0.00101195i | ||||
\(659\) | 19.1442 | + | 13.9091i | 0.745752 | + | 0.541820i | 0.894507 | − | 0.447054i | \(-0.147527\pi\) |
−0.148755 | + | 0.988874i | \(0.547527\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.9962 | − | 8.71577i | 0.466599 | − | 0.339004i | −0.329515 | − | 0.944150i | \(-0.606885\pi\) |
0.796115 | + | 0.605146i | \(0.206885\pi\) | |||||||
\(662\) | 8.34416 | − | 6.40527i | 0.324305 | − | 0.248948i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 11.1631 | + | 18.1928i | 0.433212 | + | 0.706016i | ||||
\(665\) | −0.000540897 | 0.362870i | −2.09751e−5 | 0.0140715i | ||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −10.9657 | − | 5.58730i | −0.424594 | − | 0.216341i | ||||
\(668\) | 38.4662 | − | 8.19183i | 1.48830 | − | 0.316951i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.66763 | − | 21.7423i | −0.296227 | − | 0.839978i | ||||
\(671\) | 50.4448 | + | 16.3905i | 1.94740 | + | 0.632748i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 5.11813 | − | 32.3146i | 0.197289 | − | 1.24564i | −0.667923 | − | 0.744231i | \(-0.732816\pi\) |
0.865212 | − | 0.501406i | \(-0.167184\pi\) | |||||||
\(674\) | −8.07250 | − | 14.8608i | −0.310941 | − | 0.572417i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −11.0537 | + | 17.0356i | −0.425141 | + | 0.655216i | ||||
\(677\) | 16.7410 | + | 2.65152i | 0.643410 | + | 0.101906i | 0.469609 | − | 0.882875i | \(-0.344395\pi\) |
0.173801 | + | 0.984781i | \(0.444395\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.0853926 | + | 0.262811i | −0.00327707 | + | 0.0100858i | ||||
\(680\) | −18.3896 | + | 29.9479i | −0.705207 | + | 1.14845i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −42.1236 | − | 12.4687i | −1.61300 | − | 0.477451i | ||||
\(683\) | −10.1740 | + | 19.9676i | −0.389296 | + | 0.764037i | −0.999604 | − | 0.0281270i | \(-0.991046\pi\) |
0.610308 | + | 0.792164i | \(0.291046\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.95561 | − | 5.03772i | 0.265760 | − | 0.192482i | ||||
\(686\) | −4.77341 | − | 2.27566i | −0.182250 | − | 0.0868853i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.0465026 | − | 0.0302504i | 0.00177290 | − | 0.00115329i | ||||
\(689\) | −9.89915 | − | 13.6250i | −0.377128 | − | 0.519072i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.13509 | + | 12.5734i | −0.347515 | + | 0.478314i | −0.946618 | − | 0.322359i | \(-0.895524\pi\) |
0.599102 | + | 0.800672i | \(0.295524\pi\) | |||||||
\(692\) | −16.8836 | − | 29.2171i | −0.641819 | − | 1.11067i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 34.6760 | + | 32.8936i | 1.31628 | + | 1.24862i | ||||
\(695\) | −36.8273 | − | 18.8336i | −1.39694 | − | 0.714400i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −56.9675 | + | 29.0264i | −2.15780 | + | 1.09945i | ||||
\(698\) | 12.9637 | + | 36.5859i | 0.490684 | + | 1.38479i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 1.99047 | + | 1.80160i | 0.0752327 | + | 0.0680940i | ||||
\(701\) | 10.8238 | 0.408809 | 0.204404 | − | 0.978887i | \(-0.434474\pi\) | ||||
0.204404 | + | 0.978887i | \(0.434474\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.28295 | + | 0.653695i | −0.0483873 | + | 0.0246546i | ||||
\(704\) | −16.5398 | + | 32.5547i | −0.623367 | + | 1.22695i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 10.9923 | + | 10.4273i | 0.413702 | + | 0.392436i | ||||
\(707\) | −1.26425 | + | 1.26425i | −0.0475469 | + | 0.0475469i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.47386 | − | 2.02859i | 0.0553519 | − | 0.0761853i | −0.780444 | − | 0.625226i | \(-0.785007\pi\) |
0.835796 | + | 0.549041i | \(0.185007\pi\) | |||||||
\(710\) | −19.9549 | − | 36.8663i | −0.748895 | − | 1.38357i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 20.1640 | − | 1.59874i | 0.755677 | − | 0.0599153i | ||||
\(713\) | −24.9830 | + | 3.95692i | −0.935621 | + | 0.148188i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 5.34535 | − | 16.3682i | 0.199905 | − | 0.612138i | ||||
\(716\) | −1.64521 | − | 4.28095i | −0.0614842 | − | 0.159986i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −18.0252 | − | 5.33550i | −0.672694 | − | 0.199119i | ||||
\(719\) | −2.03075 | − | 6.25002i | −0.0757344 | − | 0.233086i | 0.906022 | − | 0.423231i | \(-0.139104\pi\) |
−0.981756 | + | 0.190145i | \(0.939104\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.24627 | + | 3.83563i | −0.0464135 | + | 0.142846i | ||||
\(722\) | −14.9225 | + | 21.7214i | −0.555357 | + | 0.808386i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 23.1204 | + | 15.0018i | 0.859262 | + | 0.557538i | ||||
\(725\) | 13.4233 | − | 9.69158i | 0.498528 | − | 0.359936i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.93599 | + | 31.1646i | −0.183066 | + | 1.15583i | 0.709430 | + | 0.704776i | \(0.248952\pi\) |
−0.892496 | + | 0.451055i | \(0.851048\pi\) | |||||||
\(728\) | −0.490940 | − | 1.18329i | −0.0181955 | − | 0.0438556i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −12.3647 | + | 9.46232i | −0.457638 | + | 0.350216i | ||||
\(731\) | −0.0732932 | + | 0.0238144i | −0.00271085 | + | 0.000880808i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 37.4928 | + | 19.1035i | 1.38483 | + | 0.705605i | 0.978137 | − | 0.207961i | \(-0.0666826\pi\) |
0.406691 | + | 0.913566i | \(0.366683\pi\) | |||||||
\(734\) | 36.5643 | + | 4.80657i | 1.34961 | + | 0.177414i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −0.529997 | + | 21.0184i | −0.0195359 | + | 0.774747i | ||||
\(737\) | 5.20569 | + | 32.8674i | 0.191754 | + | 1.21069i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.9251 | + | 16.6560i | −0.843313 | + | 0.612702i | −0.923294 | − | 0.384094i | \(-0.874514\pi\) |
0.0799814 | + | 0.996796i | \(0.474514\pi\) | |||||||
\(740\) | −2.76857 | + | 10.2870i | −0.101775 | + | 0.378159i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −3.78884 | + | 0.0999495i | −0.139093 | + | 0.00366926i | ||||
\(743\) | 35.9683 | + | 35.9683i | 1.31955 | + | 1.31955i | 0.914133 | + | 0.405414i | \(0.132873\pi\) |
0.405414 | + | 0.914133i | \(0.367127\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −38.1392 | + | 19.3613i | −1.39731 | + | 0.709345i | ||||
\(746\) | −7.62943 | − | 41.1202i | −0.279333 | − | 1.50552i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 33.9276 | − | 37.7098i | 1.24051 | − | 1.37881i | ||||
\(749\) | 4.31542i | 0.157682i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 4.28864i | − | 0.156495i | −0.996934 | − | 0.0782473i | \(-0.975068\pi\) | ||
0.996934 | − | 0.0782473i | \(-0.0249324\pi\) | |||||||
\(752\) | 10.0150 | − | 2.69183i | 0.365208 | − | 0.0981608i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −7.76774 | + | 1.44122i | −0.282884 | + | 0.0524862i | ||||
\(755\) | −1.57433 | + | 0.799209i | −0.0572959 | + | 0.0290862i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.7121 | + | 12.7121i | 0.462030 | + | 0.462030i | 0.899320 | − | 0.437291i | \(-0.144062\pi\) |
−0.437291 | + | 0.899320i | \(0.644062\pi\) | |||||||
\(758\) | −0.722167 | − | 27.3756i | −0.0262303 | − | 0.994327i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.889069 | − | 3.71812i | −0.0322499 | − | 0.134871i | ||||
\(761\) | 27.1391 | − | 19.7177i | 0.983792 | − | 0.714766i | 0.0252388 | − | 0.999681i | \(-0.491965\pi\) |
0.958553 | + | 0.284915i | \(0.0919654\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −0.278321 | − | 1.75725i | −0.0100759 | − | 0.0636167i | ||||
\(764\) | −2.80910 | − | 53.2061i | −0.101630 | − | 1.92493i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.76968 | − | 13.4622i | 0.0639410 | − | 0.486409i | ||||
\(767\) | 5.86641 | + | 2.98908i | 0.211824 | + | 0.107930i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 38.5837 | − | 12.5366i | 1.39136 | − | 0.452081i | 0.484975 | − | 0.874528i | \(-0.338829\pi\) |
0.906388 | + | 0.422447i | \(0.138829\pi\) | |||||||
\(770\) | −2.35504 | − | 3.07740i | −0.0848696 | − | 0.110902i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1.92579 | − | 18.3913i | 0.0693108 | − | 0.661917i | ||||
\(773\) | −1.29494 | + | 8.17594i | −0.0465758 | + | 0.294068i | −0.999971 | − | 0.00765730i | \(-0.997563\pi\) |
0.953395 | + | 0.301725i | \(0.0975626\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 10.6116 | − | 32.3308i | 0.381179 | − | 1.16136i | ||||
\(776\) | 0.226728 | − | 2.90243i | 0.00813906 | − | 0.104191i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.5223 | + | 15.4727i | 0.807464 | + | 0.554724i | ||||
\(779\) | 2.14923 | − | 6.61466i | 0.0770043 | − | 0.236995i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 18.6980 | + | 57.5465i | 0.669066 | + | 2.05917i | ||||
\(782\) | 8.28986 | − | 28.0060i | 0.296445 | − | 1.00149i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 27.1106 | + | 5.74056i | 0.968235 | + | 0.205020i | ||||
\(785\) | 0.968630 | − | 2.96609i | 0.0345719 | − | 0.105864i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.9653 | + | 2.05351i | −0.462164 | + | 0.0731996i | −0.383175 | − | 0.923676i | \(-0.625169\pi\) |
−0.0789893 | + | 0.996875i | \(0.525169\pi\) | |||||||
\(788\) | −11.0479 | + | 24.8400i | −0.393566 | + | 0.884887i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 37.5445 | − | 20.3220i | 1.33577 | − | 0.723025i | ||||
\(791\) | −2.60729 | + | 3.58862i | −0.0927045 | + | 0.127597i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 13.8626 | − | 13.8626i | 0.492275 | − | 0.492275i | ||||
\(794\) | −19.1601 | + | 20.1984i | −0.679968 | + | 0.716815i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.5201 | − | 9.33623i | 0.408321 | − | 0.330914i | ||||
\(797\) | 30.9282 | − | 15.7587i | 1.09553 | − | 0.558202i | 0.189702 | − | 0.981842i | \(-0.439248\pi\) |
0.905831 | + | 0.423640i | \(0.139248\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.4062 | −0.509653 | ||||||||
\(800\) | −24.8295 | − | 13.5461i | −0.877855 | − | 0.478926i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 45.2531 | − | 16.0348i | 1.59794 | − | 0.566209i | ||||
\(803\) | 20.0241 | − | 10.2028i | 0.706634 | − | 0.360048i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.98654 | − | 1.01592i | −0.0700162 | − | 0.0358066i | ||||
\(806\) | −11.1747 | + | 11.7803i | −0.393613 | + | 0.414942i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 9.83252 | − | 16.0662i | 0.345907 | − | 0.565207i | ||||
\(809\) | 11.2361 | − | 15.4652i | 0.395042 | − | 0.543728i | −0.564449 | − | 0.825468i | \(-0.690911\pi\) |
0.959491 | + | 0.281739i | \(0.0909114\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 8.18655 | + | 11.2678i | 0.287469 | + | 0.395667i | 0.928190 | − | 0.372107i | \(-0.121365\pi\) |
−0.640721 | + | 0.767774i | \(0.721365\pi\) | |||||||
\(812\) | −0.722533 | + | 1.62453i | −0.0253559 | + | 0.0570098i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.61713 | − | 13.8800i | 0.231930 | − | 0.486495i | ||||
\(815\) | 13.6614 | − | 9.89453i | 0.478539 | − | 0.346590i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.00380592 | − | 0.00746953i | 0.000133152 | − | 0.000261326i | ||||
\(818\) | −5.48151 | + | 18.5185i | −0.191656 | + | 0.647482i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −25.6796 | − | 44.5918i | −0.896770 | − | 1.55721i | ||||
\(821\) | −5.48325 | + | 16.8757i | −0.191367 | + | 0.588967i | 0.808633 | + | 0.588314i | \(0.200208\pi\) |
−1.00000 | 0.000653180i | \(0.999792\pi\) | ||||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −8.33927 | − | 1.32081i | −0.290689 | − | 0.0460405i | 0.00938714 | − | 0.999956i | \(-0.497012\pi\) |
−0.300076 | + | 0.953915i | \(0.597012\pi\) | |||||||
\(824\) | 3.30900 | − | 42.3599i | 0.115275 | − | 1.47568i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.30204 | − | 0.707275i | 0.0453036 | − | 0.0246092i | ||||
\(827\) | 8.69708 | − | 54.9112i | 0.302427 | − | 1.90945i | −0.101827 | − | 0.994802i | \(-0.532469\pi\) |
0.404254 | − | 0.914647i | \(-0.367531\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 19.0441 | + | 6.18779i | 0.661428 | + | 0.214911i | 0.620446 | − | 0.784249i | \(-0.286952\pi\) |
0.0409816 | + | 0.999160i | \(0.486952\pi\) | |||||||
\(830\) | 22.5055 | − | 7.93678i | 0.781177 | − | 0.275490i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 7.94582 | + | 10.9098i | 0.275472 | + | 0.378228i | ||||
\(833\) | −34.3002 | − | 17.4768i | −1.18843 | − | 0.605536i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.0655432 | − | 43.9708i | 0.00226822 | − | 1.52167i | ||||
\(836\) | 0.290928 | + | 5.51035i | 0.0100620 | + | 0.190580i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −5.86708 | − | 7.64306i | −0.202675 | − | 0.264025i | ||||
\(839\) | −15.9259 | + | 11.5708i | −0.549822 | + | 0.399469i | −0.827720 | − | 0.561142i | \(-0.810362\pi\) |
0.277898 | + | 0.960611i | \(0.410362\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −14.5911 | − | 10.6010i | −0.503140 | − | 0.365553i | ||||
\(842\) | 0.478902 | + | 18.1540i | 0.0165040 | + | 0.625628i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 15.9623 | + | 4.27045i | 0.549444 | + | 0.146995i | ||||
\(845\) | 16.0306 | + | 16.0784i | 0.551468 | + | 0.553115i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.19860 | + | 2.35239i | 0.0411845 | + | 0.0808291i | ||||
\(848\) | 38.5618 | − | 10.3647i | 1.32422 | − | 0.355924i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 28.4255 | + | 27.1258i | 0.974986 | + | 0.930406i | ||||
\(851\) | − | 8.85366i | − | 0.303499i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.78263 | − | 7.42382i | −0.129515 | − | 0.254187i | 0.817138 | − | 0.576442i | \(-0.195559\pi\) |
−0.946653 | + | 0.322255i | \(0.895559\pi\) | |||||||
\(854\) | −0.804868 | − | 4.33799i | −0.0275420 | − | 0.148443i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.6391 | − | 44.2017i | −0.363637 | − | 1.51078i | ||||
\(857\) | 20.2813 | + | 20.2813i | 0.692795 | + | 0.692795i | 0.962846 | − | 0.270051i | \(-0.0870406\pi\) |
−0.270051 | + | 0.962846i | \(0.587041\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.51815 | − | 5.46225i | −0.256516 | − | 0.186370i | 0.452094 | − | 0.891970i | \(-0.350677\pi\) |
−0.708610 | + | 0.705601i | \(0.750677\pi\) | |||||||
\(860\) | −0.0221635 | − | 0.0579289i | −0.000755771 | − | 0.00197536i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.81336 | − | 2.92727i | 0.129883 | − | 0.0997030i | ||||
\(863\) | −1.61317 | − | 10.1852i | −0.0549130 | − | 0.346707i | −0.999813 | − | 0.0193475i | \(-0.993841\pi\) |
0.944900 | − | 0.327360i | \(-0.106159\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −35.8984 | + | 11.6050i | −1.22058 | + | 0.394581i | ||||
\(866\) | −4.79682 | − | 0.630568i | −0.163003 | − | 0.0214276i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.761136 | + | 3.57405i | 0.0258346 | + | 0.121311i | ||||
\(869\) | −58.6051 | + | 19.0419i | −1.98804 | + | 0.645954i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.6977 | + | 3.80082i | 0.396363 | + | 0.128786i | ||||
\(872\) | 7.18304 | + | 17.3129i | 0.243249 | + | 0.586289i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.51657 | + | 2.79189i | 0.0512988 | + | 0.0944369i | ||||
\(875\) | 2.43622 | − | 1.75343i | 0.0823592 | − | 0.0592766i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.9619 | − | 2.21134i | −0.471458 | − | 0.0746716i | −0.0838154 | − | 0.996481i | \(-0.526711\pi\) |
−0.387643 | + | 0.921810i | \(0.626711\pi\) | |||||||
\(878\) | −16.0474 | + | 23.3588i | −0.541573 | + | 0.788322i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 31.7090 | + | 25.7150i | 1.06891 | + | 0.866852i | ||||
\(881\) | 7.58893 | + | 23.3563i | 0.255677 | + | 0.786894i | 0.993695 | + | 0.112113i | \(0.0357620\pi\) |
−0.738018 | + | 0.674781i | \(0.764238\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −10.6317 | + | 20.8659i | −0.357786 | + | 0.702195i | −0.997809 | − | 0.0661610i | \(-0.978925\pi\) |
0.640023 | + | 0.768356i | \(0.278925\pi\) | |||||||
\(884\) | −6.72583 | − | 17.5011i | −0.226214 | − | 0.588625i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.4627 | + | 8.80187i | 0.620267 | + | 0.295705i | ||||
\(887\) | −9.96921 | + | 1.57897i | −0.334733 | + | 0.0530166i | −0.321539 | − | 0.946896i | \(-0.604200\pi\) |
−0.0131946 | + | 0.999913i | \(0.504200\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.218671 | − | 0.300974i | −0.00733398 | − | 0.0100944i | ||||
\(890\) | 2.98089 | − | 22.4174i | 0.0999197 | − | 0.751434i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −7.29634 | + | 4.21632i | −0.244299 | + | 0.141173i | ||||
\(893\) | 1.10812 | − | 1.10812i | 0.0370820 | − | 0.0370820i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −5.06558 | + | 0.794571i | −0.169324 | + | 0.0265596i | ||||
\(896\) | 3.03626 | − | 0.0836310i | 0.101434 | − | 0.00279392i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.50440 | − | 26.8231i | −0.317166 | − | 0.895098i | ||||
\(899\) | 22.5349 | 0.751582 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −55.4697 | −1.84797 | ||||||||
\(902\) | 24.8066 | + | 70.0086i | 0.825970 | + | 2.33103i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 17.8585 | − | 43.1853i | 0.593965 | − | 1.43632i | ||||
\(905\) | 21.8213 | − | 21.7564i | 0.725365 | − | 0.723206i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.65824 | − | 2.65824i | 0.0882653 | − | 0.0882653i | −0.661596 | − | 0.749861i | \(-0.730120\pi\) |
0.749861 | + | 0.661596i | \(0.230120\pi\) | |||||||
\(908\) | −10.3529 | − | 17.9157i | −0.343574 | − | 0.594555i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.40866 | + | 0.259190i | −0.0466965 | + | 0.00859206i | ||||
\(911\) | −5.17032 | − | 7.11634i | −0.171300 | − | 0.235775i | 0.714732 | − | 0.699399i | \(-0.246549\pi\) |
−0.886032 | + | 0.463624i | \(0.846549\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −34.0211 | + | 5.38842i | −1.12594 | + | 0.178331i | ||||
\(914\) | −9.93430 | − | 4.73606i | −0.328598 | − | 0.156655i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.04300 | + | 1.16945i | −0.100544 | + | 0.0386398i | ||||
\(917\) | −2.42300 | + | 4.75540i | −0.0800145 | + | 0.157037i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 5.44982 | + | 16.7728i | 0.179773 | + | 0.553284i | 0.999819 | − | 0.0190131i | \(-0.00605242\pi\) |
−0.820046 | + | 0.572297i | \(0.806052\pi\) | |||||||
\(920\) | 22.8522 | + | 5.50831i | 0.753416 | + | 0.181604i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1.97184 | − | 2.87023i | 0.0649390 | − | 0.0945261i | ||||
\(923\) | 22.0893 | + | 3.49860i | 0.727077 | + | 0.115158i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 10.5962 | + | 5.43888i | 0.348400 | + | 0.178829i | ||||
\(926\) | 22.6992 | + | 41.7874i | 0.745942 | + | 1.37322i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 3.39566 | − | 18.4210i | 0.111468 | − | 0.604698i | ||||
\(929\) | 35.1070 | + | 11.4069i | 1.15182 | + | 0.374250i | 0.821829 | − | 0.569734i | \(-0.192954\pi\) |
0.329993 | + | 0.943983i | \(0.392954\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.98270 | − | 1.29406i | 0.130528 | − | 0.0424110i | ||||
\(932\) | −5.85741 | + | 1.24741i | −0.191866 | + | 0.0408601i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 15.0819 | + | 1.98260i | 0.493495 | + | 0.0648725i | ||||
\(935\) | −33.2667 | − | 45.9315i | −1.08794 | − | 1.50212i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.89911 | + | 43.5592i | 0.225384 | + | 1.42302i | 0.797734 | + | 0.603009i | \(0.206032\pi\) |
−0.572350 | + | 0.820009i | \(0.693968\pi\) | |||||||
\(938\) | 2.19572 | − | 1.68551i | 0.0716926 | − | 0.0550338i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.594038 | − | 11.5792i | −0.0193754 | − | 0.377673i | ||||
\(941\) | −8.90352 | − | 6.46878i | −0.290246 | − | 0.210876i | 0.433128 | − | 0.901332i | \(-0.357410\pi\) |
−0.723374 | + | 0.690456i | \(0.757410\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 30.2399 | + | 30.2399i | 0.984747 | + | 0.984747i | ||||
\(944\) | −11.5927 | + | 10.4544i | −0.377311 | + | 0.340263i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0.0163318 | + | 0.0880231i | 0.000530991 | + | 0.00286188i | ||||
\(947\) | 23.8973 | + | 46.9012i | 0.776559 | + | 1.52408i | 0.850000 | + | 0.526783i | \(0.176602\pi\) |
−0.0734408 | + | 0.997300i | \(0.523398\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 8.30656i | − | 0.269642i | ||||||
\(950\) | −4.27301 | + | 0.0999751i | −0.138635 | + | 0.00324362i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −4.10345 | − | 0.982627i | −0.132993 | − | 0.0318471i | ||||
\(953\) | 7.88451 | + | 15.4742i | 0.255404 | + | 0.501259i | 0.982733 | − | 0.185030i | \(-0.0592383\pi\) |
−0.727329 | + | 0.686289i | \(0.759238\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −58.8217 | − | 9.40635i | −1.90343 | − | 0.304382i | ||||
\(956\) | 11.4467 | − | 42.7859i | 0.370211 | − | 1.38379i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −0.855186 | − | 32.4181i | −0.0276298 | − | 1.04738i | ||||
\(959\) | 0.834219 | + | 0.606095i | 0.0269383 | + | 0.0195718i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.3904 | − | 9.00217i | 0.399691 | − | 0.290392i | ||||
\(962\) | −3.46073 | − | 4.50830i | −0.111578 | − | 0.145354i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.151614 | + | 0.00800471i | −0.00488316 | + | 0.000257814i | ||||
\(965\) | −19.6531 | − | 6.41808i | −0.632655 | − | 0.206605i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −53.2482 | − | 27.1313i | −1.71235 | − | 0.872485i | −0.981872 | − | 0.189546i | \(-0.939298\pi\) |
−0.730476 | − | 0.682939i | \(-0.760702\pi\) | |||||||
\(968\) | −18.0765 | − | 21.1400i | −0.581001 | − | 0.679464i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.11967 | − | 0.928490i | −0.100166 | − | 0.0298120i | ||||
\(971\) | 39.7349 | + | 12.9106i | 1.27515 | + | 0.414322i | 0.866871 | − | 0.498533i | \(-0.166128\pi\) |
0.408283 | + | 0.912856i | \(0.366128\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0.776901 | − | 4.90516i | 0.0249063 | − | 0.157252i | ||||
\(974\) | −20.9307 | + | 11.3697i | −0.670662 | + | 0.364308i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 18.9388 | + | 42.4486i | 0.606216 | + | 1.35875i | ||||
\(977\) | −26.2795 | − | 4.16226i | −0.840754 | − | 0.133162i | −0.278819 | − | 0.960344i | \(-0.589943\pi\) |
−0.561935 | + | 0.827181i | \(0.689943\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −10.0870 | + | 31.0445i | −0.322381 | + | 0.992186i | ||||
\(980\) | 12.6330 | − | 28.2901i | 0.403545 | − | 0.903694i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 4.58530 | − | 15.4907i | 0.146323 | − | 0.494329i | ||||
\(983\) | −1.53672 | + | 3.01599i | −0.0490138 | + | 0.0961950i | −0.914214 | − | 0.405231i | \(-0.867191\pi\) |
0.865200 | + | 0.501426i | \(0.167191\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 24.5633 | + | 17.9023i | 0.782653 | + | 0.570415i | ||||
\(986\) | −11.1977 | + | 23.4882i | −0.356607 | + | 0.748016i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 1.86354 | + | 0.828835i | 0.0592871 | + | 0.0263688i | ||||
\(989\) | 0.0302988 | + | 0.0417027i | 0.000963446 | + | 0.00132607i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −29.2963 | + | 40.3229i | −0.930627 | + | 1.28090i | 0.0289870 | + | 0.999580i | \(0.490772\pi\) |
−0.959614 | + | 0.281319i | \(0.909228\pi\) | |||||||
\(992\) | −16.6075 | − | 34.7316i | −0.527288 | − | 1.10273i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.46389 | − | 3.65159i | 0.109868 | − | 0.115821i | ||||
\(995\) | −7.50448 | − | 14.7828i | −0.237908 | − | 0.468647i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.8621 | − | 9.61073i | 0.597369 | − | 0.304375i | −0.129038 | − | 0.991640i | \(-0.541189\pi\) |
0.726407 | + | 0.687265i | \(0.241189\pi\) | |||||||
\(998\) | 55.8167 | − | 19.7779i | 1.76685 | − | 0.626058i | ||||
\(999\) | 0 | 0 |
(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 | 900.2.bj.f.127.4 | 240 | ||
3.2 | odd | 2 | 300.2.w.a.127.27 | yes | 240 | ||
4.3 | odd | 2 | inner | 900.2.bj.f.127.8 | 240 | ||
12.11 | even | 2 | 300.2.w.a.127.23 | ✓ | 240 | ||
25.13 | odd | 20 | inner | 900.2.bj.f.163.8 | 240 | ||
75.38 | even | 20 | 300.2.w.a.163.23 | yes | 240 | ||
100.63 | even | 20 | inner | 900.2.bj.f.163.4 | 240 | ||
300.263 | odd | 20 | 300.2.w.a.163.27 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.127.23 | ✓ | 240 | 12.11 | even | 2 | ||
300.2.w.a.127.27 | yes | 240 | 3.2 | odd | 2 | ||
300.2.w.a.163.23 | yes | 240 | 75.38 | even | 20 | ||
300.2.w.a.163.27 | yes | 240 | 300.263 | odd | 20 | ||
900.2.bj.f.127.4 | 240 | 1.1 | even | 1 | trivial | ||
900.2.bj.f.127.8 | 240 | 4.3 | odd | 2 | inner | ||
900.2.bj.f.163.4 | 240 | 100.63 | even | 20 | inner | ||
900.2.bj.f.163.8 | 240 | 25.13 | odd | 20 | inner |