Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(19,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.l (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} - 24 x^{14} + 94 x^{13} + 262 x^{12} - 936 x^{11} - 1584 x^{10} + 4642 x^{9} + 6259 x^{8} - 11958 x^{7} - 15752 x^{6} + 14670 x^{5} + 18271 x^{4} + \cdots + 11105 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 5 \) |
Twist minimal: | no (minimal twist has level 150) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Root | \(2.32349 + 0.309017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 450.19 |
Dual form | 450.2.l.c.379.2 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{9}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.951057 | + | 0.309017i | −0.672499 | + | 0.218508i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.809017 | − | 0.587785i | 0.404508 | − | 0.293893i | ||||
\(5\) | 1.47959 | + | 1.67655i | 0.661693 | + | 0.749775i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | − | 3.23143i | − | 1.22136i | −0.791876 | − | 0.610682i | \(-0.790895\pi\) | ||
0.791876 | − | 0.610682i | \(-0.209105\pi\) | |||||||
\(8\) | −0.587785 | + | 0.809017i | −0.207813 | + | 0.286031i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.92526 | − | 1.13727i | −0.608819 | − | 0.359638i | ||||
\(11\) | −1.63788 | − | 5.04087i | −0.493839 | − | 1.51988i | −0.818758 | − | 0.574138i | \(-0.805337\pi\) |
0.324920 | − | 0.945742i | \(-0.394663\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.61543 | + | 1.82456i | 1.55744 | + | 0.506043i | 0.956122 | − | 0.292967i | \(-0.0946427\pi\) |
0.601318 | + | 0.799010i | \(0.294643\pi\) | |||||||
\(14\) | 0.998566 | + | 3.07327i | 0.266878 | + | 0.821366i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.309017 | − | 0.951057i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 0.602300 | − | 0.828995i | 0.146079 | − | 0.201061i | −0.729707 | − | 0.683760i | \(-0.760344\pi\) |
0.875786 | + | 0.482699i | \(0.160344\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.64639 | − | 2.64926i | −0.836539 | − | 0.607781i | 0.0848627 | − | 0.996393i | \(-0.472955\pi\) |
−0.921402 | + | 0.388611i | \(0.872955\pi\) | |||||||
\(20\) | 2.18246 | + | 0.486675i | 0.488014 | + | 0.108824i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.11543 | + | 4.28802i | 0.664212 | + | 0.914209i | ||||
\(23\) | 1.83390 | − | 0.595870i | 0.382394 | − | 0.124247i | −0.111511 | − | 0.993763i | \(-0.535569\pi\) |
0.493905 | + | 0.869516i | \(0.335569\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.621629 | + | 4.96121i | −0.124326 | + | 0.992241i | ||||
\(26\) | −5.90441 | −1.15795 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.89939 | − | 2.61428i | −0.358950 | − | 0.494053i | ||||
\(29\) | 0.210961 | − | 0.153272i | 0.0391744 | − | 0.0284619i | −0.568026 | − | 0.823011i | \(-0.692293\pi\) |
0.607200 | + | 0.794549i | \(0.292293\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.81386 | + | 1.31784i | 0.325778 | + | 0.236692i | 0.738637 | − | 0.674103i | \(-0.235470\pi\) |
−0.412859 | + | 0.910795i | \(0.635470\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.316648 | + | 0.974542i | −0.0543046 | + | 0.167133i | ||||
\(35\) | 5.41765 | − | 4.78119i | 0.915749 | − | 0.808168i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 9.08596 | + | 2.95221i | 1.49372 | + | 0.485340i | 0.938180 | − | 0.346149i | \(-0.112511\pi\) |
0.555542 | + | 0.831488i | \(0.312511\pi\) | |||||||
\(38\) | 4.28659 | + | 1.39280i | 0.695376 | + | 0.225941i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.22604 | + | 0.211563i | −0.351967 | + | 0.0334510i | ||||
\(41\) | 3.07816 | − | 9.47359i | 0.480727 | − | 1.47953i | −0.357348 | − | 0.933971i | \(-0.616319\pi\) |
0.838075 | − | 0.545555i | \(-0.183681\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 5.30164i | − | 0.808492i | −0.914650 | − | 0.404246i | \(-0.867534\pi\) | ||
0.914650 | − | 0.404246i | \(-0.132466\pi\) | |||||||
\(44\) | −4.28802 | − | 3.11543i | −0.646444 | − | 0.469669i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.56001 | + | 1.13341i | −0.230010 | + | 0.167112i | ||||
\(47\) | 6.18830 | + | 8.51747i | 0.902657 | + | 1.24240i | 0.969613 | + | 0.244644i | \(0.0786712\pi\) |
−0.0669561 | + | 0.997756i | \(0.521329\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.44213 | −0.491732 | ||||||||
\(50\) | −0.941893 | − | 4.91048i | −0.133204 | − | 0.694447i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.61543 | − | 1.82456i | 0.778720 | − | 0.253021i | ||||
\(53\) | −1.35841 | − | 1.86970i | −0.186593 | − | 0.256823i | 0.705465 | − | 0.708745i | \(-0.250738\pi\) |
−0.892057 | + | 0.451923i | \(0.850738\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 6.02788 | − | 10.2044i | 0.812799 | − | 1.37596i | ||||
\(56\) | 2.61428 | + | 1.89939i | 0.349348 | + | 0.253816i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.153272 | + | 0.210961i | −0.0201256 | + | 0.0277005i | ||||
\(59\) | −2.00615 | + | 6.17428i | −0.261178 | + | 0.803823i | 0.731371 | + | 0.681979i | \(0.238881\pi\) |
−0.992549 | + | 0.121844i | \(0.961119\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.21905 | − | 3.75186i | −0.156084 | − | 0.480376i | 0.842185 | − | 0.539188i | \(-0.181269\pi\) |
−0.998269 | + | 0.0588118i | \(0.981269\pi\) | |||||||
\(62\) | −2.13232 | − | 0.692831i | −0.270804 | − | 0.0879897i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.309017 | − | 0.951057i | −0.0386271 | − | 0.118882i | ||||
\(65\) | 5.24956 | + | 12.1141i | 0.651128 | + | 1.50257i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.46176 | + | 7.51747i | −0.667260 | + | 0.918405i | −0.999694 | − | 0.0247216i | \(-0.992130\pi\) |
0.332434 | + | 0.943126i | \(0.392130\pi\) | |||||||
\(68\) | − | 1.02469i | − | 0.124262i | ||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.67502 | + | 6.22132i | −0.439249 | + | 0.743590i | ||||
\(71\) | 6.90715 | − | 5.01834i | 0.819728 | − | 0.595567i | −0.0969066 | − | 0.995293i | \(-0.530895\pi\) |
0.916635 | + | 0.399726i | \(0.130895\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.76068 | + | 1.22192i | −0.440155 | + | 0.143015i | −0.520707 | − | 0.853735i | \(-0.674332\pi\) |
0.0805522 | + | 0.996750i | \(0.474332\pi\) | |||||||
\(74\) | −9.55354 | −1.11058 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.50718 | −0.517010 | ||||||||
\(77\) | −16.2892 | + | 5.29269i | −1.85633 | + | 0.603158i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −10.8177 | + | 7.85950i | −1.21708 | + | 0.884263i | −0.995855 | − | 0.0909589i | \(-0.971007\pi\) |
−0.221229 | + | 0.975222i | \(0.571007\pi\) | |||||||
\(80\) | 2.05171 | − | 0.889091i | 0.229388 | − | 0.0994034i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.96112i | 1.10002i | ||||||||
\(83\) | −4.40074 | + | 6.05709i | −0.483044 | + | 0.664852i | −0.979086 | − | 0.203446i | \(-0.934786\pi\) |
0.496043 | + | 0.868298i | \(0.334786\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.28101 | − | 0.216787i | 0.247410 | − | 0.0235139i | ||||
\(86\) | 1.63830 | + | 5.04216i | 0.176662 | + | 0.543710i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.04087 | + | 1.63788i | 0.537359 | + | 0.174598i | ||||
\(89\) | −0.226687 | − | 0.697671i | −0.0240288 | − | 0.0739529i | 0.938323 | − | 0.345760i | \(-0.112379\pi\) |
−0.962352 | + | 0.271807i | \(0.912379\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 5.89595 | − | 18.1459i | 0.618063 | − | 1.90220i | ||||
\(92\) | 1.13341 | − | 1.56001i | 0.118166 | − | 0.162642i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −8.51747 | − | 6.18830i | −0.878510 | − | 0.638275i | ||||
\(95\) | −0.953552 | − | 10.0332i | −0.0978324 | − | 1.02938i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −10.1432 | − | 13.9610i | −1.02989 | − | 1.41752i | −0.905031 | − | 0.425345i | \(-0.860153\pi\) |
−0.124857 | − | 0.992175i | \(-0.539847\pi\) | |||||||
\(98\) | 3.27366 | − | 1.06368i | 0.330689 | − | 0.107447i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.41322 | + | 4.37909i | 0.241322 | + | 0.437909i | ||||
\(101\) | −11.8454 | −1.17866 | −0.589331 | − | 0.807892i | \(-0.700609\pi\) | ||||
−0.589331 | + | 0.807892i | \(0.700609\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.20316 | + | 5.78515i | 0.414150 | + | 0.570028i | 0.964224 | − | 0.265087i | \(-0.0854008\pi\) |
−0.550075 | + | 0.835115i | \(0.685401\pi\) | |||||||
\(104\) | −4.77677 | + | 3.47053i | −0.468401 | + | 0.340313i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.86970 | + | 1.35841i | 0.181601 | + | 0.131941i | ||||
\(107\) | 3.20058i | 0.309412i | 0.987961 | + | 0.154706i | \(0.0494430\pi\) | ||||
−0.987961 | + | 0.154706i | \(0.950557\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.05789 | + | 9.41123i | −0.292893 | + | 0.901432i | 0.691028 | + | 0.722828i | \(0.257158\pi\) |
−0.983921 | + | 0.178604i | \(0.942842\pi\) | |||||||
\(110\) | −2.57952 | + | 11.5677i | −0.245947 | + | 1.10294i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.07327 | − | 0.998566i | −0.290397 | − | 0.0943556i | ||||
\(113\) | 4.03794 | + | 1.31201i | 0.379858 | + | 0.123423i | 0.492721 | − | 0.870187i | \(-0.336002\pi\) |
−0.112863 | + | 0.993611i | \(0.536002\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.71242 | + | 2.19298i | 0.346185 | + | 0.204496i | ||||
\(116\) | 0.0805798 | − | 0.247999i | 0.00748165 | − | 0.0230261i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 6.49202i | − | 0.597639i | ||||||
\(119\) | −2.67884 | − | 1.94629i | −0.245569 | − | 0.178416i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −13.8285 | + | 10.0470i | −1.25714 | + | 0.913366i | ||||
\(122\) | 2.31878 | + | 3.19152i | 0.209932 | + | 0.288947i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.24205 | 0.201342 | ||||||||
\(125\) | −9.23746 | + | 6.29836i | −0.826224 | + | 0.563342i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.79813 | + | 2.85868i | −0.780708 | + | 0.253667i | −0.672142 | − | 0.740422i | \(-0.734626\pi\) |
−0.108565 | + | 0.994089i | \(0.534626\pi\) | |||||||
\(128\) | 0.587785 | + | 0.809017i | 0.0519534 | + | 0.0715077i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −8.73611 | − | 9.89903i | −0.766207 | − | 0.868203i | ||||
\(131\) | −3.93584 | − | 2.85956i | −0.343876 | − | 0.249841i | 0.402419 | − | 0.915455i | \(-0.368169\pi\) |
−0.746296 | + | 0.665615i | \(0.768169\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −8.56088 | + | 11.7830i | −0.742323 | + | 1.02172i | ||||
\(134\) | 2.87142 | − | 8.83731i | 0.248053 | − | 0.763428i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.316648 | + | 0.974542i | 0.0271523 | + | 0.0835663i | ||||
\(137\) | 5.72219 | + | 1.85925i | 0.488879 | + | 0.158847i | 0.543076 | − | 0.839684i | \(-0.317260\pi\) |
−0.0541963 | + | 0.998530i | \(0.517260\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.73890 | + | 5.35178i | 0.147492 | + | 0.453932i | 0.997323 | − | 0.0731222i | \(-0.0232963\pi\) |
−0.849831 | + | 0.527055i | \(0.823296\pi\) | |||||||
\(140\) | 1.57266 | − | 7.05247i | 0.132914 | − | 0.596043i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.01834 | + | 6.90715i | −0.421130 | + | 0.579635i | ||||
\(143\) | − | 31.2951i | − | 2.61703i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.569103 | + | 0.126906i | 0.0472614 | + | 0.0105390i | ||||
\(146\) | 3.19903 | − | 2.32423i | 0.264754 | − | 0.192355i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 9.08596 | − | 2.95221i | 0.746861 | − | 0.242670i | ||||
\(149\) | −11.6556 | −0.954863 | −0.477432 | − | 0.878669i | \(-0.658432\pi\) | ||||
−0.477432 | + | 0.878669i | \(0.658432\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.52354 | 0.449499 | 0.224750 | − | 0.974417i | \(-0.427844\pi\) | ||||
0.224750 | + | 0.974417i | \(0.427844\pi\) | |||||||
\(152\) | 4.28659 | − | 1.39280i | 0.347688 | − | 0.112971i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 13.8564 | − | 10.0673i | 1.11658 | − | 0.811245i | ||||
\(155\) | 0.474334 | + | 4.99089i | 0.0380994 | + | 0.400878i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.84307i | 0.546136i | 0.961995 | + | 0.273068i | \(0.0880384\pi\) | ||||
−0.961995 | + | 0.273068i | \(0.911962\pi\) | |||||||
\(158\) | 7.85950 | − | 10.8177i | 0.625268 | − | 0.860608i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.67655 | + | 1.47959i | −0.132543 | + | 0.116972i | ||||
\(161\) | −1.92551 | − | 5.92611i | −0.151751 | − | 0.467043i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −8.92773 | − | 2.90080i | −0.699274 | − | 0.227208i | −0.0622597 | − | 0.998060i | \(-0.519831\pi\) |
−0.637014 | + | 0.770852i | \(0.719831\pi\) | |||||||
\(164\) | −3.07816 | − | 9.47359i | −0.240364 | − | 0.739763i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.31360 | − | 7.12054i | 0.179570 | − | 0.552661i | ||||
\(167\) | 4.01388 | − | 5.52464i | 0.310604 | − | 0.427509i | −0.624966 | − | 0.780652i | \(-0.714887\pi\) |
0.935569 | + | 0.353143i | \(0.114887\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 17.6868 | + | 12.8502i | 1.36052 | + | 0.988478i | ||||
\(170\) | −2.10238 | + | 0.911046i | −0.161245 | + | 0.0698741i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.11623 | − | 4.28912i | −0.237610 | − | 0.327042i | ||||
\(173\) | 17.9373 | − | 5.82820i | 1.36375 | − | 0.443110i | 0.466457 | − | 0.884544i | \(-0.345530\pi\) |
0.897294 | + | 0.441434i | \(0.145530\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 16.0318 | + | 2.00875i | 1.21189 | + | 0.151847i | ||||
\(176\) | −5.30029 | −0.399524 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.431184 | + | 0.593474i | 0.0323186 | + | 0.0444828i | ||||
\(179\) | −0.761557 | + | 0.553303i | −0.0569214 | + | 0.0413558i | −0.615882 | − | 0.787838i | \(-0.711200\pi\) |
0.558961 | + | 0.829194i | \(0.311200\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.4118 | − | 8.29114i | −0.848231 | − | 0.616276i | 0.0764270 | − | 0.997075i | \(-0.475649\pi\) |
−0.924658 | + | 0.380800i | \(0.875649\pi\) | |||||||
\(182\) | 19.0797i | 1.41428i | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.595870 | + | 1.83390i | −0.0439281 | + | 0.135197i | ||||
\(185\) | 8.49397 | + | 19.6011i | 0.624489 | + | 1.44110i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −5.16535 | − | 1.67832i | −0.377728 | − | 0.122731i | ||||
\(188\) | 10.0129 | + | 3.25338i | 0.730265 | + | 0.237277i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.00730 | + | 9.24744i | 0.290720 | + | 0.670880i | ||||
\(191\) | −7.87125 | + | 24.2252i | −0.569544 | + | 1.75288i | 0.0845047 | + | 0.996423i | \(0.473069\pi\) |
−0.654049 | + | 0.756453i | \(0.726931\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | − | 6.63439i | − | 0.477554i | −0.971074 | − | 0.238777i | \(-0.923254\pi\) | ||
0.971074 | − | 0.238777i | \(-0.0767465\pi\) | |||||||
\(194\) | 13.9610 | + | 10.1432i | 1.00234 | + | 0.728241i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.78474 | + | 2.02323i | −0.198910 | + | 0.144517i | ||||
\(197\) | 5.98232 | + | 8.23396i | 0.426223 | + | 0.586645i | 0.967081 | − | 0.254468i | \(-0.0819005\pi\) |
−0.540858 | + | 0.841114i | \(0.681900\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.52238 | 0.178807 | 0.0894035 | − | 0.995995i | \(-0.471504\pi\) | ||||
0.0894035 | + | 0.995995i | \(0.471504\pi\) | |||||||
\(200\) | −3.64832 | − | 3.41903i | −0.257975 | − | 0.241762i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.2656 | − | 3.66043i | 0.792648 | − | 0.257547i | ||||
\(203\) | −0.495287 | − | 0.681704i | −0.0347623 | − | 0.0478463i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 20.4373 | − | 8.85635i | 1.42741 | − | 0.618554i | ||||
\(206\) | −5.78515 | − | 4.20316i | −0.403071 | − | 0.292848i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 3.47053 | − | 4.77677i | 0.240638 | − | 0.331209i | ||||
\(209\) | −7.38222 | + | 22.7201i | −0.510639 | + | 1.57158i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.87129 | + | 14.9923i | 0.335353 | + | 1.03211i | 0.966548 | + | 0.256487i | \(0.0825650\pi\) |
−0.631194 | + | 0.775625i | \(0.717435\pi\) | |||||||
\(212\) | −2.19796 | − | 0.714161i | −0.150957 | − | 0.0490487i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.989034 | − | 3.04393i | −0.0676090 | − | 0.208079i | ||||
\(215\) | 8.88846 | − | 7.84425i | 0.606188 | − | 0.534973i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.25852 | − | 5.86135i | 0.289087 | − | 0.397894i | ||||
\(218\) | − | 9.89555i | − | 0.670211i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.12134 | − | 11.7986i | −0.0756009 | − | 0.795464i | ||||
\(221\) | 4.89473 | − | 3.55623i | 0.329255 | − | 0.239218i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 8.84040 | − | 2.87242i | 0.591997 | − | 0.192351i | 0.00232890 | − | 0.999997i | \(-0.499259\pi\) |
0.589668 | + | 0.807646i | \(0.299259\pi\) | |||||||
\(224\) | 3.23143 | 0.215909 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.24575 | −0.282423 | ||||||||
\(227\) | 3.46003 | − | 1.12423i | 0.229650 | − | 0.0746178i | −0.191931 | − | 0.981408i | \(-0.561475\pi\) |
0.421582 | + | 0.906791i | \(0.361475\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 8.03500 | − | 5.83777i | 0.530968 | − | 0.385771i | −0.289752 | − | 0.957102i | \(-0.593573\pi\) |
0.820720 | + | 0.571331i | \(0.193573\pi\) | |||||||
\(230\) | −4.20839 | − | 0.938443i | −0.277493 | − | 0.0618791i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.260762i | 0.0171198i | ||||||||
\(233\) | −11.0441 | + | 15.2009i | −0.723523 | + | 0.995844i | 0.275877 | + | 0.961193i | \(0.411032\pi\) |
−0.999399 | + | 0.0346507i | \(0.988968\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −5.12380 | + | 22.9773i | −0.334240 | + | 1.49888i | ||||
\(236\) | 2.00615 | + | 6.17428i | 0.130589 | + | 0.401912i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.14916 | + | 1.02322i | 0.204130 | + | 0.0663258i | ||||
\(239\) | −3.01349 | − | 9.27457i | −0.194926 | − | 0.599922i | −0.999977 | − | 0.00671626i | \(-0.997862\pi\) |
0.805051 | − | 0.593206i | \(-0.202138\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 5.84694 | − | 17.9950i | 0.376634 | − | 1.15916i | −0.565735 | − | 0.824587i | \(-0.691408\pi\) |
0.942369 | − | 0.334574i | \(-0.108592\pi\) | |||||||
\(242\) | 10.0470 | − | 13.8285i | 0.645848 | − | 0.888933i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.19152 | − | 2.31878i | −0.204316 | − | 0.148444i | ||||
\(245\) | −5.09293 | − | 5.77089i | −0.325376 | − | 0.368689i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −15.6423 | − | 21.5298i | −0.995296 | − | 1.36991i | ||||
\(248\) | −2.13232 | + | 0.692831i | −0.135402 | + | 0.0439948i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.83905 | − | 8.84463i | 0.432539 | − | 0.559383i | ||||
\(251\) | 1.98608 | 0.125360 | 0.0626801 | − | 0.998034i | \(-0.480035\pi\) | ||||
0.0626801 | + | 0.998034i | \(0.480035\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −6.00740 | − | 8.26848i | −0.377682 | − | 0.519835i | ||||
\(254\) | 7.48413 | − | 5.43754i | 0.469596 | − | 0.341182i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.809017 | − | 0.587785i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | − | 19.2797i | − | 1.20263i | −0.799010 | − | 0.601317i | \(-0.794643\pi\) | ||
0.799010 | − | 0.601317i | \(-0.205357\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 9.53984 | − | 29.3606i | 0.592777 | − | 1.82438i | ||||
\(260\) | 11.3675 | + | 6.71493i | 0.704982 | + | 0.416443i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 4.62686 | + | 1.50336i | 0.285848 | + | 0.0928778i | ||||
\(263\) | −11.9164 | − | 3.87188i | −0.734799 | − | 0.238751i | −0.0823713 | − | 0.996602i | \(-0.526249\pi\) |
−0.652428 | + | 0.757851i | \(0.726249\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.12474 | − | 5.04383i | 0.0690923 | − | 0.309840i | ||||
\(266\) | 4.50072 | − | 13.8518i | 0.275957 | − | 0.849308i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 9.29210i | 0.567605i | ||||||||
\(269\) | −10.9160 | − | 7.93096i | −0.665562 | − | 0.483559i | 0.202975 | − | 0.979184i | \(-0.434939\pi\) |
−0.868537 | + | 0.495625i | \(0.834939\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 21.6926 | − | 15.7606i | 1.31773 | − | 0.957387i | 0.317773 | − | 0.948167i | \(-0.397065\pi\) |
0.999957 | − | 0.00922023i | \(-0.00293493\pi\) | |||||||
\(272\) | −0.602300 | − | 0.828995i | −0.0365198 | − | 0.0502652i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.01666 | −0.363480 | ||||||||
\(275\) | 26.0270 | − | 4.99230i | 1.56948 | − | 0.301047i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.76751 | − | 2.52382i | 0.466704 | − | 0.151641i | −0.0662188 | − | 0.997805i | \(-0.521094\pi\) |
0.532923 | + | 0.846164i | \(0.321094\pi\) | |||||||
\(278\) | −3.30758 | − | 4.55250i | −0.198376 | − | 0.273041i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.683650 | + | 7.19328i | 0.0408559 | + | 0.429881i | ||||
\(281\) | 25.3561 | + | 18.4223i | 1.51262 | + | 1.09898i | 0.965000 | + | 0.262249i | \(0.0844642\pi\) |
0.547615 | + | 0.836730i | \(0.315536\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.61049 | + | 13.2277i | −0.571284 | + | 0.786306i | −0.992706 | − | 0.120559i | \(-0.961531\pi\) |
0.421422 | + | 0.906865i | \(0.361531\pi\) | |||||||
\(284\) | 2.63830 | − | 8.11984i | 0.156554 | − | 0.481824i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 9.67071 | + | 29.7634i | 0.571841 | + | 1.75995i | ||||
\(287\) | −30.6132 | − | 9.94684i | −1.80704 | − | 0.587143i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.92882 | + | 15.1694i | 0.289931 | + | 0.892315i | ||||
\(290\) | −0.580465 | + | 0.0551675i | −0.0340861 | + | 0.00323955i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −2.32423 | + | 3.19903i | −0.136015 | + | 0.187209i | ||||
\(293\) | 28.1867i | 1.64669i | 0.567545 | + | 0.823343i | \(0.307893\pi\) | ||||
−0.567545 | + | 0.823343i | \(0.692107\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −13.3198 | + | 5.77200i | −0.775506 | + | 0.336059i | ||||
\(296\) | −7.72898 | + | 5.61543i | −0.449238 | + | 0.326390i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 11.0851 | − | 3.60178i | 0.642144 | − | 0.208645i | ||||
\(299\) | 11.3853 | 0.658431 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −17.1319 | −0.987464 | ||||||||
\(302\) | −5.25320 | + | 1.70687i | −0.302288 | + | 0.0982192i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.64639 | + | 2.64926i | −0.209135 | + | 0.151945i | ||||
\(305\) | 4.48648 | − | 7.59501i | 0.256895 | − | 0.434889i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 14.5372i | 0.829680i | 0.909894 | + | 0.414840i | \(0.136163\pi\) | ||||
−0.909894 | + | 0.414840i | \(0.863837\pi\) | |||||||
\(308\) | −10.0673 | + | 13.8564i | −0.573637 | + | 0.789543i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.99339 | − | 4.60004i | −0.113217 | − | 0.261265i | ||||
\(311\) | −4.47841 | − | 13.7831i | −0.253947 | − | 0.781570i | −0.994035 | − | 0.109060i | \(-0.965216\pi\) |
0.740088 | − | 0.672510i | \(-0.234784\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −29.9857 | − | 9.74294i | −1.69489 | − | 0.550703i | −0.707185 | − | 0.707029i | \(-0.750035\pi\) |
−0.987706 | + | 0.156325i | \(0.950035\pi\) | |||||||
\(314\) | −2.11462 | − | 6.50814i | −0.119335 | − | 0.367276i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.13198 | + | 12.7169i | −0.232442 | + | 0.715384i | ||||
\(317\) | −8.80564 | + | 12.1199i | −0.494574 | + | 0.680722i | −0.981223 | − | 0.192875i | \(-0.938219\pi\) |
0.486650 | + | 0.873597i | \(0.338219\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.11815 | − | 0.812385i | −0.0626045 | − | 0.0454848i | ||||
\(320\) | 1.13727 | − | 1.92526i | 0.0635755 | − | 0.107625i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 3.66254 | + | 5.04105i | 0.204105 | + | 0.280927i | ||||
\(323\) | −4.39244 | + | 1.42719i | −0.244402 | + | 0.0794110i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.5428 | + | 26.7251i | −0.695747 | + | 1.48244i | ||||
\(326\) | 9.38717 | 0.519907 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 5.85500 | + | 8.05872i | 0.323288 | + | 0.444968i | ||||
\(329\) | 27.5236 | − | 19.9971i | 1.51742 | − | 1.10247i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 17.4888 | + | 12.7064i | 0.961273 | + | 0.698406i | 0.953446 | − | 0.301563i | \(-0.0975085\pi\) |
0.00782724 | + | 0.999969i | \(0.497508\pi\) | |||||||
\(332\) | 7.48698i | 0.410901i | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.11022 | + | 6.49460i | −0.115466 | + | 0.355369i | ||||
\(335\) | −20.6846 | + | 1.96586i | −1.13012 | + | 0.107407i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 7.22323 | + | 2.34697i | 0.393474 | + | 0.127848i | 0.499070 | − | 0.866562i | \(-0.333675\pi\) |
−0.105596 | + | 0.994409i | \(0.533675\pi\) | |||||||
\(338\) | −20.7921 | − | 6.75576i | −1.13094 | − | 0.367465i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 1.71795 | − | 1.51613i | 0.0931689 | − | 0.0822235i | ||||
\(341\) | 3.67220 | − | 11.3019i | 0.198861 | − | 0.612031i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 11.4970i | − | 0.620780i | ||||||
\(344\) | 4.28912 | + | 3.11623i | 0.231254 | + | 0.168016i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −15.2584 | + | 11.0859i | −0.820298 | + | 0.595981i | ||||
\(347\) | 4.42781 | + | 6.09436i | 0.237697 | + | 0.327162i | 0.911155 | − | 0.412063i | \(-0.135192\pi\) |
−0.673458 | + | 0.739226i | \(0.735192\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.7527 | −1.00381 | −0.501904 | − | 0.864923i | \(-0.667367\pi\) | ||||
−0.501904 | + | 0.864923i | \(0.667367\pi\) | |||||||
\(350\) | −15.8679 | + | 3.04366i | −0.848173 | + | 0.162690i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 5.04087 | − | 1.63788i | 0.268679 | − | 0.0872992i | ||||
\(353\) | 2.56631 | + | 3.53223i | 0.136591 | + | 0.188001i | 0.871833 | − | 0.489803i | \(-0.162931\pi\) |
−0.735242 | + | 0.677805i | \(0.762931\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 18.6332 | + | 4.15509i | 0.988950 | + | 0.220529i | ||||
\(356\) | −0.593474 | − | 0.431184i | −0.0314541 | − | 0.0228527i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.553303 | − | 0.761557i | 0.0292430 | − | 0.0402495i | ||||
\(359\) | 0.227811 | − | 0.701130i | 0.0120234 | − | 0.0370042i | −0.944865 | − | 0.327461i | \(-0.893807\pi\) |
0.956888 | + | 0.290456i | \(0.0938071\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 0.406269 | + | 1.25037i | 0.0213826 | + | 0.0658088i | ||||
\(362\) | 13.4153 | + | 4.35891i | 0.705095 | + | 0.229099i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −5.89595 | − | 18.1459i | −0.309032 | − | 0.951101i | ||||
\(365\) | −7.61288 | − | 4.49703i | −0.398476 | − | 0.235385i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.0856 | + | 15.2581i | −0.578666 | + | 0.796466i | −0.993548 | − | 0.113410i | \(-0.963823\pi\) |
0.414882 | + | 0.909875i | \(0.363823\pi\) | |||||||
\(368\) | − | 1.92827i | − | 0.100518i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −14.1353 | − | 16.0170i | −0.734860 | − | 0.832683i | ||||
\(371\) | −6.04179 | + | 4.38962i | −0.313674 | + | 0.227898i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 28.3763 | − | 9.22003i | 1.46927 | − | 0.477395i | 0.538383 | − | 0.842700i | \(-0.319035\pi\) |
0.930888 | + | 0.365305i | \(0.119035\pi\) | |||||||
\(374\) | 5.43117 | 0.280839 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.5282 | −0.542949 | ||||||||
\(377\) | 1.46429 | − | 0.475776i | 0.0754147 | − | 0.0245037i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.6159 | − | 14.9783i | 1.05897 | − | 0.769384i | 0.0850692 | − | 0.996375i | \(-0.472889\pi\) |
0.973897 | + | 0.226991i | \(0.0728889\pi\) | |||||||
\(380\) | −6.66878 | − | 7.55651i | −0.342101 | − | 0.387641i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | − | 25.4719i | − | 1.30326i | ||||||
\(383\) | −18.5995 | + | 25.6000i | −0.950389 | + | 1.30810i | 0.000965638 | 1.00000i | \(0.499693\pi\) | |
−0.951354 | + | 0.308098i | \(0.900307\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −32.9748 | − | 19.4786i | −1.68055 | − | 0.992724i | ||||
\(386\) | 2.05014 | + | 6.30968i | 0.104349 | + | 0.321154i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −16.4121 | − | 5.33261i | −0.833197 | − | 0.270722i | ||||
\(389\) | 3.72304 | + | 11.4583i | 0.188766 | + | 0.580961i | 0.999993 | − | 0.00377022i | \(-0.00120010\pi\) |
−0.811227 | + | 0.584731i | \(0.801200\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.610584 | − | 1.87918i | 0.0308786 | − | 0.0950344i | ||||
\(392\) | 2.02323 | − | 2.78474i | 0.102189 | − | 0.140651i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −8.23396 | − | 5.98232i | −0.414821 | − | 0.301385i | ||||
\(395\) | −29.1826 | − | 6.50752i | −1.46833 | − | 0.327429i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.1393 | + | 20.8374i | 0.759819 | + | 1.04580i | 0.997229 | + | 0.0743920i | \(0.0237016\pi\) |
−0.237410 | + | 0.971410i | \(0.576298\pi\) | |||||||
\(398\) | −2.39893 | + | 0.779460i | −0.120247 | + | 0.0390708i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 4.52629 | + | 2.12430i | 0.226315 | + | 0.106215i | ||||
\(401\) | −26.3196 | −1.31434 | −0.657169 | − | 0.753743i | \(-0.728246\pi\) | ||||
−0.657169 | + | 0.753743i | \(0.728246\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.78109 | + | 10.7098i | 0.387604 | + | 0.533491i | ||||
\(404\) | −9.58313 | + | 6.96255i | −0.476779 | + | 0.346400i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.681704 | + | 0.495287i | 0.0338324 | + | 0.0245807i | ||||
\(407\) | − | 50.6365i | − | 2.50996i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.3630 | + | 34.9716i | −0.561863 | + | 1.72924i | 0.115230 | + | 0.993339i | \(0.463239\pi\) |
−0.677093 | + | 0.735897i | \(0.736761\pi\) | |||||||
\(410\) | −16.7003 | + | 14.7384i | −0.824769 | + | 0.727876i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 6.80085 | + | 2.20973i | 0.335054 | + | 0.108866i | ||||
\(413\) | 19.9517 | + | 6.48272i | 0.981761 | + | 0.318994i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −16.6663 | + | 1.58397i | −0.818116 | + | 0.0777538i | ||||
\(416\) | −1.82456 | + | 5.61543i | −0.0894566 | + | 0.275319i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 23.8894i | − | 1.16847i | ||||||
\(419\) | 25.6657 | + | 18.6472i | 1.25385 | + | 0.910975i | 0.998439 | − | 0.0558572i | \(-0.0177891\pi\) |
0.255411 | + | 0.966833i | \(0.417789\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −7.13332 | + | 5.18266i | −0.347657 | + | 0.252587i | −0.747885 | − | 0.663828i | \(-0.768931\pi\) |
0.400229 | + | 0.916415i | \(0.368931\pi\) | |||||||
\(422\) | −9.26574 | − | 12.7532i | −0.451049 | − | 0.620816i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 2.31107 | 0.112236 | ||||||||
\(425\) | 3.73841 | + | 3.50346i | 0.181339 | + | 0.169943i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.1239 | + | 3.93928i | −0.586715 | + | 0.190635i | ||||
\(428\) | 1.88125 | + | 2.58932i | 0.0909339 | + | 0.125160i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −6.02942 | + | 10.2070i | −0.290764 | + | 0.492226i | ||||
\(431\) | 19.0172 | + | 13.8168i | 0.916026 | + | 0.665532i | 0.942532 | − | 0.334117i | \(-0.108438\pi\) |
−0.0265058 | + | 0.999649i | \(0.508438\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.93923 | + | 6.79827i | −0.237364 | + | 0.326704i | −0.911036 | − | 0.412327i | \(-0.864716\pi\) |
0.673672 | + | 0.739031i | \(0.264716\pi\) | |||||||
\(434\) | −2.23883 | + | 6.89042i | −0.107468 | + | 0.330751i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 3.05789 | + | 9.41123i | 0.146447 | + | 0.450716i | ||||
\(437\) | −8.26572 | − | 2.68569i | −0.395403 | − | 0.128474i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.0111 | − | 33.8885i | −0.525529 | − | 1.61741i | −0.763268 | − | 0.646083i | \(-0.776406\pi\) |
0.237739 | − | 0.971329i | \(-0.423594\pi\) | |||||||
\(440\) | 4.71244 | + | 10.8747i | 0.224657 | + | 0.518429i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.55623 | + | 4.89473i | −0.169152 | + | 0.232818i | ||||
\(443\) | 6.79550i | 0.322864i | 0.986884 | + | 0.161432i | \(0.0516112\pi\) | ||||
−0.986884 | + | 0.161432i | \(0.948389\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.834275 | − | 1.41232i | 0.0395484 | − | 0.0669503i | ||||
\(446\) | −7.52009 | + | 5.46366i | −0.356087 | + | 0.258712i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −3.07327 | + | 0.998566i | −0.145198 | + | 0.0471778i | ||||
\(449\) | 8.75011 | 0.412943 | 0.206472 | − | 0.978453i | \(-0.433802\pi\) | ||||
0.206472 | + | 0.978453i | \(0.433802\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −52.7968 | −2.48610 | ||||||||
\(452\) | 4.03794 | − | 1.31201i | 0.189929 | − | 0.0617117i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.94327 | + | 2.13841i | −0.138135 | + | 0.100361i | ||||
\(455\) | 39.1460 | − | 16.9636i | 1.83519 | − | 0.795265i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 38.1474i | − | 1.78446i | −0.451581 | − | 0.892230i | \(-0.649140\pi\) | ||
0.451581 | − | 0.892230i | \(-0.350860\pi\) | |||||||
\(458\) | −5.83777 | + | 8.03500i | −0.272781 | + | 0.375451i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.29241 | − | 0.407951i | 0.200135 | − | 0.0190208i | ||||
\(461\) | 0.392689 | + | 1.20857i | 0.0182893 | + | 0.0562888i | 0.959785 | − | 0.280737i | \(-0.0905789\pi\) |
−0.941495 | + | 0.337026i | \(0.890579\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.49626 | − | 2.76060i | −0.394855 | − | 0.128296i | 0.104858 | − | 0.994487i | \(-0.466561\pi\) |
−0.499713 | + | 0.866191i | \(0.666561\pi\) | |||||||
\(464\) | −0.0805798 | − | 0.247999i | −0.00374082 | − | 0.0115131i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 5.80623 | − | 17.8697i | 0.268968 | − | 0.827799i | ||||
\(467\) | 3.38378 | − | 4.65737i | 0.156582 | − | 0.215517i | −0.723517 | − | 0.690306i | \(-0.757476\pi\) |
0.880100 | + | 0.474789i | \(0.157476\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 24.2922 | + | 17.6493i | 1.12171 | + | 0.814968i | ||||
\(470\) | −2.22737 | − | 23.4361i | −0.102741 | − | 1.08103i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.81592 | − | 5.25216i | −0.175642 | − | 0.241750i | ||||
\(473\) | −26.7249 | + | 8.68344i | −1.22881 | + | 0.399265i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 15.4102 | − | 16.4436i | 0.707069 | − | 0.754486i | ||||
\(476\) | −3.31122 | −0.151770 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 5.73200 | + | 7.88942i | 0.262175 | + | 0.360854i | ||||
\(479\) | 3.74616 | − | 2.72175i | 0.171167 | − | 0.124360i | −0.498904 | − | 0.866657i | \(-0.666264\pi\) |
0.670070 | + | 0.742298i | \(0.266264\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 45.6351 | + | 33.1558i | 2.08078 | + | 1.51177i | ||||
\(482\) | 18.9211i | 0.861832i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −5.28204 | + | 16.2564i | −0.240093 | + | 0.738929i | ||||
\(485\) | 8.39840 | − | 37.6621i | 0.381352 | − | 1.71015i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 15.1442 | + | 4.92064i | 0.686248 | + | 0.222975i | 0.631329 | − | 0.775515i | \(-0.282510\pi\) |
0.0549192 | + | 0.998491i | \(0.482510\pi\) | |||||||
\(488\) | 3.75186 | + | 1.21905i | 0.169839 | + | 0.0551839i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.62697 | + | 3.91464i | 0.299376 | + | 0.176845i | ||||
\(491\) | 1.97176 | − | 6.06846i | 0.0889844 | − | 0.273866i | −0.896655 | − | 0.442730i | \(-0.854010\pi\) |
0.985639 | + | 0.168864i | \(0.0540100\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 0.267201i | − | 0.0120341i | ||||||
\(494\) | 21.5298 | + | 15.6423i | 0.968671 | + | 0.703780i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 1.81386 | − | 1.31784i | 0.0814445 | − | 0.0591729i | ||||
\(497\) | −16.2164 | − | 22.3200i | −0.727405 | − | 1.00119i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.9135 | −0.578087 | −0.289044 | − | 0.957316i | \(-0.593337\pi\) | ||||
−0.289044 | + | 0.957316i | \(0.593337\pi\) | |||||||
\(500\) | −3.77118 | + | 10.5251i | −0.168652 | + | 0.470698i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.88887 | + | 0.613732i | −0.0843046 | + | 0.0273922i | ||||
\(503\) | 0.853483 | + | 1.17472i | 0.0380549 | + | 0.0523781i | 0.827620 | − | 0.561288i | \(-0.189694\pi\) |
−0.789566 | + | 0.613666i | \(0.789694\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −17.5263 | − | 19.8594i | −0.779912 | − | 0.883731i | ||||
\(506\) | 8.26848 | + | 6.00740i | 0.367579 | + | 0.267062i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −5.43754 | + | 7.48413i | −0.241252 | + | 0.332055i | ||||
\(509\) | −3.83481 | + | 11.8023i | −0.169975 | + | 0.523130i | −0.999368 | − | 0.0355355i | \(-0.988686\pi\) |
0.829393 | + | 0.558665i | \(0.188686\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.94855 | + | 12.1524i | 0.174673 | + | 0.537590i | ||||
\(512\) | 0.951057 | + | 0.309017i | 0.0420312 | + | 0.0136568i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.95775 | + | 18.3361i | 0.262785 | + | 0.808770i | ||||
\(515\) | −3.48014 | + | 15.6064i | −0.153353 | + | 0.687702i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 32.7998 | − | 45.1450i | 1.44253 | − | 1.98548i | ||||
\(518\) | 30.8716i | 1.35642i | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.8862 | − | 2.87353i | −0.565096 | − | 0.126013i | ||||
\(521\) | 6.42857 | − | 4.67063i | 0.281641 | − | 0.204624i | −0.437992 | − | 0.898979i | \(-0.644310\pi\) |
0.719633 | + | 0.694355i | \(0.244310\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −33.1258 | + | 10.7632i | −1.44849 | + | 0.470643i | −0.924533 | − | 0.381101i | \(-0.875545\pi\) |
−0.523957 | + | 0.851745i | \(0.675545\pi\) | |||||||
\(524\) | −4.86497 | −0.212527 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 12.5297 | 0.546320 | ||||||||
\(527\) | 2.18497 | − | 0.709940i | 0.0951788 | − | 0.0309255i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.5993 | + | 11.3335i | −0.678229 | + | 0.492762i | ||||
\(530\) | 0.488937 | + | 5.14453i | 0.0212381 | + | 0.223464i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 14.5646i | 0.631457i | ||||||||
\(533\) | 34.5703 | − | 47.5820i | 1.49741 | − | 2.06100i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.36593 | + | 4.73555i | −0.231989 | + | 0.204736i | ||||
\(536\) | −2.87142 | − | 8.83731i | −0.124026 | − | 0.381714i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 12.8326 | + | 4.16955i | 0.553251 | + | 0.179762i | ||||
\(539\) | 5.63778 | + | 17.3513i | 0.242837 | + | 0.747374i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 8.70571 | − | 26.7934i | 0.374288 | − | 1.15194i | −0.569670 | − | 0.821873i | \(-0.692929\pi\) |
0.943958 | − | 0.330065i | \(-0.107071\pi\) | |||||||
\(542\) | −15.7606 | + | 21.6926i | −0.676975 | + | 0.931776i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.828995 | + | 0.602300i | 0.0355429 | + | 0.0258234i | ||||
\(545\) | −20.3028 | + | 8.79805i | −0.869677 | + | 0.376867i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.9747 | + | 21.9873i | 0.683029 | + | 0.940108i | 0.999965 | − | 0.00833839i | \(-0.00265422\pi\) |
−0.316937 | + | 0.948447i | \(0.602654\pi\) | |||||||
\(548\) | 5.72219 | − | 1.85925i | 0.244440 | − | 0.0794233i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −23.2104 | + | 12.7907i | −0.989695 | + | 0.545399i | ||||
\(551\) | −1.17530 | −0.0500695 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 25.3974 | + | 34.9565i | 1.08001 | + | 1.48650i | ||||
\(554\) | −6.60744 | + | 4.80058i | −0.280723 | + | 0.203957i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 4.55250 | + | 3.30758i | 0.193069 | + | 0.140273i | ||||
\(557\) | − | 6.74857i | − | 0.285946i | −0.989727 | − | 0.142973i | \(-0.954334\pi\) | ||
0.989727 | − | 0.142973i | \(-0.0456663\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.67318 | − | 29.7710i | 0.409132 | − | 1.25918i | ||||
\(560\) | −2.87303 | − | 6.62996i | −0.121408 | − | 0.280167i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −29.8078 | − | 9.68515i | −1.25737 | − | 0.408543i | ||||
\(563\) | −10.7542 | − | 3.49426i | −0.453236 | − | 0.147265i | 0.0734982 | − | 0.997295i | \(-0.476584\pi\) |
−0.526734 | + | 0.850030i | \(0.676584\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.77486 | + | 8.71104i | 0.158809 | + | 0.366476i | ||||
\(566\) | 5.05253 | − | 15.5501i | 0.212374 | − | 0.653620i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 8.53771i | 0.358234i | ||||||||
\(569\) | −20.4022 | − | 14.8231i | −0.855304 | − | 0.621415i | 0.0712991 | − | 0.997455i | \(-0.477286\pi\) |
−0.926603 | + | 0.376040i | \(0.877286\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.4908 | − | 16.3405i | 0.941209 | − | 0.683828i | −0.00750262 | − | 0.999972i | \(-0.502388\pi\) |
0.948711 | + | 0.316144i | \(0.102388\pi\) | |||||||
\(572\) | −18.3948 | − | 25.3182i | −0.769124 | − | 1.05861i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 32.1886 | 1.34353 | ||||||||
\(575\) | 1.81623 | + | 9.46876i | 0.0757420 | + | 0.394875i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.9309 | + | 3.55168i | −0.455061 | + | 0.147858i | −0.527574 | − | 0.849509i | \(-0.676898\pi\) |
0.0725129 | + | 0.997367i | \(0.476898\pi\) | |||||||
\(578\) | −9.37518 | − | 12.9038i | −0.389956 | − | 0.536728i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.535008 | − | 0.231841i | 0.0222150 | − | 0.00962668i | ||||
\(581\) | 19.5731 | + | 14.2207i | 0.812027 | + | 0.589972i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.19998 | + | 9.90993i | −0.298193 | + | 0.410427i | ||||
\(584\) | 1.22192 | − | 3.76068i | 0.0505634 | − | 0.155618i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −8.71017 | − | 26.8072i | −0.359814 | − | 1.10739i | ||||
\(587\) | 40.1613 | + | 13.0492i | 1.65763 | + | 0.538598i | 0.980374 | − | 0.197147i | \(-0.0631676\pi\) |
0.677259 | + | 0.735745i | \(0.263168\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.12272 | − | 9.61074i | −0.128669 | − | 0.396004i | ||||
\(590\) | 10.8842 | − | 9.60553i | 0.448095 | − | 0.395454i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 5.61543 | − | 7.72898i | 0.230793 | − | 0.317659i | ||||
\(593\) | 0.0131121i | 0.000538451i | 1.00000 | 0.000269225i | \(8.56971e-5\pi\) | |||||
−1.00000 | 0.000269225i | \(0.999914\pi\) | ||||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.700532 | − | 7.37091i | −0.0287190 | − | 0.302178i | ||||
\(596\) | −9.42957 | + | 6.85098i | −0.386250 | + | 0.280627i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −10.8281 | + | 3.51826i | −0.442794 | + | 0.143872i | ||||
\(599\) | 2.38072 | 0.0972738 | 0.0486369 | − | 0.998817i | \(-0.484512\pi\) | ||||
0.0486369 | + | 0.998817i | \(0.484512\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −19.6020 | −0.799581 | −0.399790 | − | 0.916607i | \(-0.630917\pi\) | ||||
−0.399790 | + | 0.916607i | \(0.630917\pi\) | |||||||
\(602\) | 16.2934 | − | 5.29404i | 0.664068 | − | 0.215769i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 4.46864 | − | 3.24666i | 0.181826 | − | 0.132105i | ||||
\(605\) | −37.3049 | − | 8.31875i | −1.51666 | − | 0.338205i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 10.7155i | − | 0.434930i | −0.976068 | − | 0.217465i | \(-0.930221\pi\) | ||
0.976068 | − | 0.217465i | \(-0.0697788\pi\) | |||||||
\(608\) | 2.64926 | − | 3.64639i | 0.107442 | − | 0.147881i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.91990 | + | 8.60968i | −0.0777346 | + | 0.348596i | ||||
\(611\) | 19.2093 | + | 59.1202i | 0.777126 | + | 2.39175i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.10735 | + | 0.359801i | 0.0447256 | + | 0.0145322i | 0.331294 | − | 0.943527i | \(-0.392515\pi\) |
−0.286569 | + | 0.958060i | \(0.592515\pi\) | |||||||
\(614\) | −4.49223 | − | 13.8257i | −0.181292 | − | 0.557959i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.29269 | − | 16.2892i | 0.213248 | − | 0.656311i | ||||
\(617\) | 13.3095 | − | 18.3190i | 0.535821 | − | 0.737495i | −0.452182 | − | 0.891926i | \(-0.649354\pi\) |
0.988004 | + | 0.154431i | \(0.0493544\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.0413 | + | 14.5609i | 0.805529 | + | 0.585251i | 0.912531 | − | 0.409008i | \(-0.134125\pi\) |
−0.107002 | + | 0.994259i | \(0.534125\pi\) | |||||||
\(620\) | 3.31731 | + | 3.75890i | 0.133227 | + | 0.150961i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 8.51844 | + | 11.7246i | 0.341559 | + | 0.470115i | ||||
\(623\) | −2.25447 | + | 0.732522i | −0.0903235 | + | 0.0293479i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.2272 | − | 6.16806i | −0.969086 | − | 0.246722i | ||||
\(626\) | 31.5288 | 1.26014 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 4.02225 | + | 5.53616i | 0.160505 | + | 0.220917i | ||||
\(629\) | 7.91983 | − | 5.75410i | 0.315784 | − | 0.229431i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26.4156 | + | 19.1920i | 1.05159 | + | 0.764023i | 0.972514 | − | 0.232845i | \(-0.0748036\pi\) |
0.0790740 | + | 0.996869i | \(0.474804\pi\) | |||||||
\(632\) | − | 13.3714i | − | 0.531885i | ||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.62940 | − | 14.2478i | 0.183857 | − | 0.565853i | ||||
\(635\) | −17.8103 | − | 10.5208i | −0.706782 | − | 0.417505i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −19.3290 | − | 6.28038i | −0.765844 | − | 0.248838i | ||||
\(638\) | 1.31447 | + | 0.427096i | 0.0520402 | + | 0.0169089i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.486675 | + | 2.18246i | −0.0192375 | + | 0.0862694i | ||||
\(641\) | 8.29842 | − | 25.5399i | 0.327768 | − | 1.00877i | −0.642408 | − | 0.766363i | \(-0.722064\pi\) |
0.970176 | − | 0.242403i | \(-0.0779356\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.1051i | 0.674559i | 0.941405 | + | 0.337279i | \(0.109507\pi\) | ||||
−0.941405 | + | 0.337279i | \(0.890493\pi\) | |||||||
\(644\) | −5.04105 | − | 3.66254i | −0.198645 | − | 0.144324i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.73643 | − | 2.71468i | 0.147008 | − | 0.106808i | ||||
\(647\) | 26.9285 | + | 37.0639i | 1.05867 | + | 1.45713i | 0.881043 | + | 0.473036i | \(0.156842\pi\) |
0.177626 | + | 0.984098i | \(0.443158\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 34.4096 | 1.35069 | ||||||||
\(650\) | 3.67035 | − | 29.2930i | 0.143963 | − | 1.14897i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −8.92773 | + | 2.90080i | −0.349637 | + | 0.113604i | ||||
\(653\) | −6.73337 | − | 9.26769i | −0.263497 | − | 0.362673i | 0.656684 | − | 0.754166i | \(-0.271959\pi\) |
−0.920181 | + | 0.391493i | \(0.871959\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.02925 | − | 10.8296i | −0.0402160 | − | 0.423148i | ||||
\(656\) | −8.05872 | − | 5.85500i | −0.314640 | − | 0.228599i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −19.9971 | + | 27.5236i | −0.779566 | + | 1.07298i | ||||
\(659\) | 12.3601 | − | 38.0405i | 0.481482 | − | 1.48185i | −0.355531 | − | 0.934664i | \(-0.615700\pi\) |
0.837013 | − | 0.547183i | \(-0.184300\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.75871 | − | 5.41276i | −0.0684060 | − | 0.210532i | 0.911010 | − | 0.412384i | \(-0.135304\pi\) |
−0.979416 | + | 0.201852i | \(0.935304\pi\) | |||||||
\(662\) | −20.5594 | − | 6.68014i | −0.799062 | − | 0.259631i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.31360 | − | 7.12054i | −0.0897852 | − | 0.276331i | ||||
\(665\) | −32.4214 | + | 3.08134i | −1.25725 | + | 0.119489i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.295550 | − | 0.406790i | 0.0114438 | − | 0.0157510i | ||||
\(668\) | − | 6.82883i | − | 0.264215i | ||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 19.0647 | − | 8.26153i | 0.736534 | − | 0.319171i | ||||
\(671\) | −16.9160 | + | 12.2902i | −0.653034 | + | 0.474457i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 46.0813 | − | 14.9727i | 1.77630 | − | 0.577156i | 0.777633 | − | 0.628719i | \(-0.216420\pi\) |
0.998670 | + | 0.0515628i | \(0.0164202\pi\) | |||||||
\(674\) | −7.59495 | −0.292547 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 21.8621 | 0.840849 | ||||||||
\(677\) | 17.6033 | − | 5.71966i | 0.676550 | − | 0.219824i | 0.0494656 | − | 0.998776i | \(-0.484248\pi\) |
0.627084 | + | 0.778951i | \(0.284248\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −45.1138 | + | 32.7771i | −1.73131 | + | 1.25787i | ||||
\(680\) | −1.16536 | + | 1.97280i | −0.0446894 | + | 0.0756533i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 11.8835i | 0.455043i | ||||||||
\(683\) | −21.1745 | + | 29.1442i | −0.810219 | + | 1.11517i | 0.181070 | + | 0.983470i | \(0.442044\pi\) |
−0.991289 | + | 0.131701i | \(0.957956\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.34936 | + | 12.3445i | 0.204389 | + | 0.471657i | ||||
\(686\) | 3.55277 | + | 10.9343i | 0.135645 | + | 0.417474i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −5.04216 | − | 1.63830i | −0.192231 | − | 0.0624595i | ||||
\(689\) | −4.21670 | − | 12.9777i | −0.160643 | − | 0.494410i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.47133 | + | 13.7613i | −0.170097 | + | 0.523506i | −0.999376 | − | 0.0353301i | \(-0.988752\pi\) |
0.829278 | + | 0.558836i | \(0.188752\pi\) | |||||||
\(692\) | 11.0859 | − | 15.2584i | 0.421422 | − | 0.580038i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.09436 | − | 4.42781i | −0.231339 | − | 0.168077i | ||||
\(695\) | −6.39967 | + | 10.8338i | −0.242753 | + | 0.410949i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.99958 | − | 8.25772i | −0.227250 | − | 0.312783i | ||||
\(698\) | 17.8349 | − | 5.79489i | 0.675059 | − | 0.219340i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 14.1507 | − | 7.79813i | 0.534846 | − | 0.294742i | ||||
\(701\) | −8.31284 | −0.313972 | −0.156986 | − | 0.987601i | \(-0.550178\pi\) | ||||
−0.156986 | + | 0.987601i | \(0.550178\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −25.3098 | − | 34.8359i | −0.954576 | − | 1.31386i | ||||
\(704\) | −4.28802 | + | 3.11543i | −0.161611 | + | 0.117417i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −3.53223 | − | 2.56631i | −0.132937 | − | 0.0965845i | ||||
\(707\) | 38.2776i | 1.43958i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.77255 | − | 8.53302i | 0.104125 | − | 0.320464i | −0.885399 | − | 0.464832i | \(-0.846115\pi\) |
0.989524 | + | 0.144368i | \(0.0461148\pi\) | |||||||
\(710\) | −19.0053 | + | 1.80626i | −0.713254 | + | 0.0677878i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.697671 | + | 0.226687i | 0.0261463 | + | 0.00849545i | ||||
\(713\) | 4.11169 | + | 1.33597i | 0.153984 | + | 0.0500324i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 52.4677 | − | 46.3039i | 1.96218 | − | 1.73167i | ||||
\(716\) | −0.290889 | + | 0.895264i | −0.0108710 | + | 0.0334576i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.737212i | 0.0275125i | ||||||||
\(719\) | −22.7445 | − | 16.5249i | −0.848228 | − | 0.616274i | 0.0764289 | − | 0.997075i | \(-0.475648\pi\) |
−0.924657 | + | 0.380801i | \(0.875648\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 18.6943 | − | 13.5822i | 0.696212 | − | 0.505828i | ||||
\(722\) | −0.772769 | − | 1.06363i | −0.0287595 | − | 0.0395840i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −14.1057 | −0.524235 | ||||||||
\(725\) | 0.629274 | + | 1.14190i | 0.0233707 | + | 0.0424090i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 23.6592 | − | 7.68734i | 0.877471 | − | 0.285108i | 0.164564 | − | 0.986366i | \(-0.447378\pi\) |
0.712907 | + | 0.701259i | \(0.247378\pi\) | |||||||
\(728\) | 11.2148 | + | 15.4358i | 0.415647 | + | 0.572088i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.62994 | + | 1.92442i | 0.319408 | + | 0.0712260i | ||||
\(731\) | −4.39503 | − | 3.19318i | −0.162556 | − | 0.118104i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.97108 | + | 5.46572i | −0.146675 | + | 0.201881i | −0.876033 | − | 0.482252i | \(-0.839819\pi\) |
0.729358 | + | 0.684133i | \(0.239819\pi\) | |||||||
\(734\) | 5.82807 | − | 17.9370i | 0.215118 | − | 0.662065i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.595870 | + | 1.83390i | 0.0219640 | + | 0.0675984i | ||||
\(737\) | 46.8403 | + | 15.2193i | 1.72538 | + | 0.560611i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1.57339 | + | 4.84241i | 0.0578783 | + | 0.178131i | 0.975816 | − | 0.218593i | \(-0.0701469\pi\) |
−0.917938 | + | 0.396724i | \(0.870147\pi\) | |||||||
\(740\) | 18.3930 | + | 10.8650i | 0.676140 | + | 0.399405i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.38962 | − | 6.04179i | 0.161148 | − | 0.221801i | ||||
\(743\) | − | 16.0999i | − | 0.590647i | −0.955397 | − | 0.295324i | \(-0.904573\pi\) | ||
0.955397 | − | 0.295324i | \(-0.0954274\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −17.2455 | − | 19.5412i | −0.631826 | − | 0.715933i | ||||
\(746\) | −24.1383 | + | 17.5375i | −0.883768 | + | 0.642095i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −5.16535 | + | 1.67832i | −0.188864 | + | 0.0613656i | ||||
\(749\) | 10.3424 | 0.377905 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −25.4366 | −0.928196 | −0.464098 | − | 0.885784i | \(-0.653622\pi\) | ||||
−0.464098 | + | 0.885784i | \(0.653622\pi\) | |||||||
\(752\) | 10.0129 | − | 3.25338i | 0.365132 | − | 0.118639i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.24560 | + | 0.904981i | −0.0453620 | + | 0.0329575i | ||||
\(755\) | 8.17257 | + | 9.26048i | 0.297430 | + | 0.337024i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 12.4947i | 0.454129i | 0.973880 | + | 0.227064i | \(0.0729128\pi\) | ||||
−0.973880 | + | 0.227064i | \(0.927087\pi\) | |||||||
\(758\) | −14.9783 | + | 20.6159i | −0.544037 | + | 0.748802i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 8.67748 | + | 5.12590i | 0.314765 | + | 0.185936i | ||||
\(761\) | 3.58120 | + | 11.0218i | 0.129818 | + | 0.399540i | 0.994748 | − | 0.102353i | \(-0.0326371\pi\) |
−0.864930 | + | 0.501893i | \(0.832637\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 30.4117 | + | 9.88136i | 1.10098 | + | 0.357729i | ||||
\(764\) | 7.87125 | + | 24.2252i | 0.284772 | + | 0.876438i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 9.77832 | − | 30.0946i | 0.353305 | − | 1.08736i | ||||
\(767\) | −22.5307 | + | 31.0109i | −0.813538 | + | 1.11974i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.2155 | − | 13.9609i | −0.692927 | − | 0.503441i | 0.184694 | − | 0.982796i | \(-0.440871\pi\) |
−0.877621 | + | 0.479355i | \(0.840871\pi\) | |||||||
\(770\) | 37.3801 | + | 8.33553i | 1.34709 | + | 0.300391i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.89960 | − | 5.36734i | −0.140350 | − | 0.193175i | ||||
\(773\) | −11.5030 | + | 3.73754i | −0.413732 | + | 0.134430i | −0.508485 | − | 0.861071i | \(-0.669794\pi\) |
0.0947521 | + | 0.995501i | \(0.469794\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.66564 | + | 8.17971i | −0.275358 | + | 0.293824i | ||||
\(776\) | 17.2567 | 0.619479 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −7.08164 | − | 9.74704i | −0.253889 | − | 0.349448i | ||||
\(779\) | −36.3221 | + | 26.3896i | −1.30138 | + | 0.945504i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −36.6099 | − | 26.5986i | −1.31000 | − | 0.951774i | ||||
\(782\) | 1.97589i | 0.0706577i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.06368 | + | 3.27366i | −0.0379884 | + | 0.116916i | ||||
\(785\) | −11.4727 | + | 10.1249i | −0.409479 | + | 0.361374i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −19.3085 | − | 6.27371i | −0.688274 | − | 0.223634i | −0.0560597 | − | 0.998427i | \(-0.517854\pi\) |
−0.632214 | + | 0.774794i | \(0.717854\pi\) | |||||||
\(788\) | 9.67960 | + | 3.14509i | 0.344821 | + | 0.112039i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 29.7652 | − | 2.82889i | 1.05900 | − | 0.100647i | ||||
\(791\) | 4.23966 | − | 13.0483i | 0.150745 | − | 0.463945i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − | 23.2925i | − | 0.827142i | ||||||
\(794\) | −20.8374 | − | 15.1393i | −0.739493 | − | 0.537273i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.04065 | − | 1.48262i | 0.0723290 | − | 0.0525501i | ||||
\(797\) | −18.6343 | − | 25.6479i | −0.660059 | − | 0.908493i | 0.339424 | − | 0.940633i | \(-0.389768\pi\) |
−0.999483 | + | 0.0321399i | \(0.989768\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 10.7881 | 0.381657 | ||||||||
\(800\) | −4.96121 | − | 0.621629i | −0.175405 | − | 0.0219779i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 25.0314 | − | 8.13321i | 0.883891 | − | 0.287194i | ||||
\(803\) | 12.3191 | + | 16.9558i | 0.434731 | + | 0.598356i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 7.08645 | − | 11.9964i | 0.249764 | − | 0.422818i | ||||
\(806\) | −10.7098 | − | 7.78109i | −0.377235 | − | 0.274077i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.96255 | − | 9.58313i | 0.244942 | − | 0.337133i | ||||
\(809\) | 2.69637 | − | 8.29856i | 0.0947992 | − | 0.291762i | −0.892402 | − | 0.451241i | \(-0.850981\pi\) |
0.987201 | + | 0.159479i | \(0.0509815\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 4.69774 | + | 14.4581i | 0.164960 | + | 0.507694i | 0.999033 | − | 0.0439592i | \(-0.0139972\pi\) |
−0.834074 | + | 0.551653i | \(0.813997\pi\) | |||||||
\(812\) | −0.801391 | − | 0.260388i | −0.0281233 | − | 0.00913782i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 15.6475 | + | 48.1582i | 0.548446 | + | 1.68794i | ||||
\(815\) | −8.34605 | − | 19.2598i | −0.292349 | − | 0.674640i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −14.0454 | + | 19.3318i | −0.491387 | + | 0.676336i | ||||
\(818\) | − | 36.7714i | − | 1.28568i | ||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 11.3285 | − | 19.1777i | 0.395609 | − | 0.669714i | ||||
\(821\) | 13.3160 | − | 9.67465i | 0.464732 | − | 0.337648i | −0.330653 | − | 0.943753i | \(-0.607269\pi\) |
0.795385 | + | 0.606105i | \(0.207269\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −21.8728 | + | 7.10692i | −0.762439 | + | 0.247732i | −0.664325 | − | 0.747444i | \(-0.731281\pi\) |
−0.0981141 | + | 0.995175i | \(0.531281\pi\) | |||||||
\(824\) | −7.15084 | −0.249111 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −20.9785 | −0.729936 | ||||||||
\(827\) | −23.5214 | + | 7.64257i | −0.817919 | + | 0.265758i | −0.687948 | − | 0.725760i | \(-0.741488\pi\) |
−0.129971 | + | 0.991518i | \(0.541488\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.8789 | − | 12.2632i | 0.586227 | − | 0.425919i | −0.254736 | − | 0.967011i | \(-0.581989\pi\) |
0.840964 | + | 0.541091i | \(0.181989\pi\) | |||||||
\(830\) | 15.3611 | − | 6.65661i | 0.533192 | − | 0.231054i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 5.90441i | − | 0.204699i | ||||||
\(833\) | −2.07319 | + | 2.85350i | −0.0718319 | + | 0.0988681i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 15.2012 | − | 1.44473i | 0.526060 | − | 0.0499968i | ||||
\(836\) | 7.38222 | + | 22.7201i | 0.255319 | + | 0.785792i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −30.1718 | − | 9.80341i | −1.04227 | − | 0.338653i | ||||
\(839\) | −7.29166 | − | 22.4414i | −0.251736 | − | 0.774764i | −0.994455 | − | 0.105161i | \(-0.966464\pi\) |
0.742719 | − | 0.669603i | \(-0.233536\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −8.94048 | + | 27.5160i | −0.308292 | + | 0.948827i | ||||
\(842\) | 5.18266 | − | 7.13332i | 0.178606 | − | 0.245830i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 12.7532 | + | 9.26574i | 0.438983 | + | 0.318940i | ||||
\(845\) | 4.62520 | + | 48.6658i | 0.159112 | + | 1.67415i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 32.4663 | + | 44.6860i | 1.11555 | + | 1.53543i | ||||
\(848\) | −2.19796 | + | 0.714161i | −0.0754783 | + | 0.0245244i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.63807 | − | 2.17676i | −0.159084 | − | 0.0746622i | ||||
\(851\) | 18.4218 | 0.631493 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 15.4957 | + | 21.3280i | 0.530563 | + | 0.730257i | 0.987216 | − | 0.159388i | \(-0.0509520\pi\) |
−0.456653 | + | 0.889645i | \(0.650952\pi\) | |||||||
\(854\) | 10.3132 | − | 7.49296i | 0.352910 | − | 0.256404i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.58932 | − | 1.88125i | −0.0885013 | − | 0.0643000i | ||||
\(857\) | − | 16.0891i | − | 0.549593i | −0.961502 | − | 0.274797i | \(-0.911389\pi\) | ||
0.961502 | − | 0.274797i | \(-0.0886105\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −3.26846 | + | 10.0593i | −0.111519 | + | 0.343219i | −0.991205 | − | 0.132335i | \(-0.957752\pi\) |
0.879686 | + | 0.475554i | \(0.157752\pi\) | |||||||
\(860\) | 2.58018 | − | 11.5706i | 0.0879833 | − | 0.394555i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −22.3560 | − | 7.26392i | −0.761450 | − | 0.247410i | ||||
\(863\) | −39.7177 | − | 12.9051i | −1.35201 | − | 0.439293i | −0.458640 | − | 0.888622i | \(-0.651663\pi\) |
−0.893366 | + | 0.449329i | \(0.851663\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 36.3112 | + | 21.4495i | 1.23462 | + | 0.729304i | ||||
\(866\) | 2.59671 | − | 7.99185i | 0.0882397 | − | 0.271574i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | − | 7.24502i | − | 0.245912i | ||||||
\(869\) | 57.3368 | + | 41.6576i | 1.94502 | + | 1.41314i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −44.3862 | + | 32.2485i | −1.50397 | + | 1.09270i | ||||
\(872\) | −5.81646 | − | 8.00567i | −0.196970 | − | 0.271106i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 8.69109 | 0.293980 | ||||||||
\(875\) | 20.3527 | + | 29.8502i | 0.688047 | + | 1.00912i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −30.2690 | + | 9.83498i | −1.02211 | + | 0.332104i | −0.771667 | − | 0.636027i | \(-0.780577\pi\) |
−0.250444 | + | 0.968131i | \(0.580577\pi\) | |||||||
\(878\) | 20.9443 | + | 28.8273i | 0.706835 | + | 0.972875i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −7.84225 | − | 8.88619i | −0.264362 | − | 0.299553i | ||||
\(881\) | −40.1535 | − | 29.1732i | −1.35280 | − | 0.982870i | −0.998866 | − | 0.0476012i | \(-0.984842\pi\) |
−0.353938 | − | 0.935269i | \(-0.615158\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.97477 | + | 4.09442i | −0.100109 | + | 0.137788i | −0.856133 | − | 0.516756i | \(-0.827139\pi\) |
0.756024 | + | 0.654544i | \(0.227139\pi\) | |||||||
\(884\) | 1.86962 | − | 5.75410i | 0.0628821 | − | 0.193531i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.09992 | − | 6.46290i | −0.0705483 | − | 0.217125i | ||||
\(887\) | 10.5132 | + | 3.41594i | 0.352998 | + | 0.114696i | 0.480148 | − | 0.877187i | \(-0.340583\pi\) |
−0.127150 | + | 0.991884i | \(0.540583\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 9.23763 | + | 28.4305i | 0.309820 | + | 0.953529i | ||||
\(890\) | −0.357012 | + | 1.60100i | −0.0119671 | + | 0.0536656i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.46366 | − | 7.52009i | 0.182937 | − | 0.251791i | ||||
\(893\) | − | 47.4524i | − | 1.58793i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.05443 | − | 0.458125i | −0.0686721 | − | 0.0153134i | ||||
\(896\) | 2.61428 | − | 1.89939i | 0.0873370 | − | 0.0634540i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.32185 | + | 2.70393i | −0.277704 | + | 0.0902314i | ||||
\(899\) | 0.584641 | 0.0194989 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.36814 | −0.0788942 | ||||||||
\(902\) | 50.2127 | − | 16.3151i | 1.67190 | − | 0.543234i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −3.43488 | + | 2.49559i | −0.114242 | + | 0.0830020i | ||||
\(905\) | −2.98425 | − | 31.3999i | −0.0991997 | − | 1.04377i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.57086i | 0.251386i | 0.992069 | + | 0.125693i | \(0.0401155\pi\) | ||||
−0.992069 | + | 0.125693i | \(0.959885\pi\) | |||||||
\(908\) | 2.13841 | − | 2.94327i | 0.0709658 | − | 0.0976760i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −31.9880 | + | 28.2301i | −1.06039 | + | 0.935819i | ||||
\(911\) | −11.0530 | − | 34.0177i | −0.366203 | − | 1.12706i | −0.949224 | − | 0.314601i | \(-0.898129\pi\) |
0.583021 | − | 0.812457i | \(-0.301871\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 37.7409 | + | 12.2628i | 1.24904 | + | 0.405838i | ||||
\(914\) | 11.7882 | + | 36.2803i | 0.389919 | + | 1.20005i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 3.06910 | − | 9.44571i | 0.101406 | − | 0.312095i | ||||
\(917\) | −9.24046 | + | 12.7184i | −0.305147 | + | 0.419998i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −40.1464 | − | 29.1680i | −1.32431 | − | 0.962165i | −0.999868 | − | 0.0162579i | \(-0.994825\pi\) |
−0.324438 | − | 0.945907i | \(-0.605175\pi\) | |||||||
\(920\) | −3.95626 | + | 1.71441i | −0.130434 | + | 0.0565225i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −0.746939 | − | 1.02807i | −0.0245991 | − | 0.0338578i | ||||
\(923\) | 47.9429 | − | 15.5776i | 1.57806 | − | 0.512743i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −20.2946 | + | 43.2421i | −0.667282 | + | 1.42179i | ||||
\(926\) | 8.93349 | 0.293573 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0.153272 | + | 0.210961i | 0.00503140 | + | 0.00692512i | ||||
\(929\) | 13.1559 | − | 9.55836i | 0.431633 | − | 0.313599i | −0.350669 | − | 0.936500i | \(-0.614046\pi\) |
0.782301 | + | 0.622900i | \(0.214046\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 12.5513 | + | 9.11908i | 0.411353 | + | 0.298866i | ||||
\(932\) | 18.7893i | 0.615465i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −1.77896 | + | 5.47507i | −0.0582092 | + | 0.179150i | ||||
\(935\) | −4.82881 | − | 11.1432i | −0.157919 | − | 0.364421i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.541982 | − | 0.176101i | −0.0177058 | − | 0.00575296i | 0.300151 | − | 0.953892i | \(-0.402963\pi\) |
−0.317857 | + | 0.948139i | \(0.602963\pi\) | |||||||
\(938\) | −28.5571 | − | 9.27878i | −0.932424 | − | 0.302963i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 9.36050 | + | 21.6008i | 0.305306 | + | 0.704539i | ||||
\(941\) | −2.16169 | + | 6.65300i | −0.0704691 | + | 0.216882i | −0.980089 | − | 0.198561i | \(-0.936373\pi\) |
0.909619 | + | 0.415443i | \(0.136373\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − | 19.2078i | − | 0.625491i | ||||||
\(944\) | 5.25216 | + | 3.81592i | 0.170943 | + | 0.124198i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 22.7335 | − | 16.5169i | 0.739131 | − | 0.537010i | ||||
\(947\) | −20.2563 | − | 27.8804i | −0.658241 | − | 0.905991i | 0.341181 | − | 0.939998i | \(-0.389173\pi\) |
−0.999422 | + | 0.0340070i | \(0.989173\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −23.3473 | −0.757886 | ||||||||
\(950\) | −9.57462 | + | 20.4008i | −0.310642 | + | 0.661891i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 3.14916 | − | 1.02322i | 0.102065 | − | 0.0331629i | ||||
\(953\) | 24.7083 | + | 34.0081i | 0.800382 | + | 1.10163i | 0.992737 | + | 0.120305i | \(0.0383874\pi\) |
−0.192355 | + | 0.981325i | \(0.561613\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −52.2610 | + | 22.6469i | −1.69113 | + | 0.732835i | ||||
\(956\) | −7.88942 | − | 5.73200i | −0.255162 | − | 0.185386i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −2.72175 | + | 3.74616i | −0.0879356 | + | 0.121033i | ||||
\(959\) | 6.00804 | − | 18.4908i | 0.194010 | − | 0.597100i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.02616 | − | 24.7020i | −0.258909 | − | 0.796839i | ||||
\(962\) | −53.6472 | − | 17.4310i | −1.72966 | − | 0.561999i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −5.84694 | − | 17.9950i | −0.188317 | − | 0.579580i | ||||
\(965\) | 11.1229 | − | 9.81618i | 0.358058 | − | 0.315994i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.03499 | − | 9.68283i | 0.226230 | − | 0.311379i | −0.680780 | − | 0.732488i | \(-0.738359\pi\) |
0.907010 | + | 0.421109i | \(0.138359\pi\) | |||||||
\(968\) | − | 17.0930i | − | 0.549391i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 3.65087 | + | 38.4140i | 0.117222 | + | 1.23340i | ||||
\(971\) | 1.09374 | − | 0.794651i | 0.0350999 | − | 0.0255016i | −0.570097 | − | 0.821577i | \(-0.693094\pi\) |
0.605197 | + | 0.796076i | \(0.293094\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 17.2939 | − | 5.61913i | 0.554417 | − | 0.180141i | ||||
\(974\) | −15.9235 | −0.510223 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.94494 | −0.126274 | ||||||||
\(977\) | −17.6371 | + | 5.73065i | −0.564262 | + | 0.183340i | −0.577238 | − | 0.816576i | \(-0.695869\pi\) |
0.0129761 | + | 0.999916i | \(0.495869\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.14558 | + | 2.28540i | −0.100533 | + | 0.0730417i | ||||
\(980\) | −7.51232 | − | 1.67520i | −0.239972 | − | 0.0535122i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 6.38076i | 0.203618i | ||||||||
\(983\) | 9.62915 | − | 13.2534i | 0.307122 | − | 0.422718i | −0.627359 | − | 0.778730i | \(-0.715864\pi\) |
0.934481 | + | 0.356013i | \(0.115864\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.95325 | + | 22.2125i | −0.157824 | + | 0.707750i | ||||
\(986\) | 0.0825696 | + | 0.254123i | 0.00262955 | + | 0.00809293i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −25.3098 | − | 8.22365i | −0.805211 | − | 0.261629i | ||||
\(989\) | −3.15909 | − | 9.72267i | −0.100453 | − | 0.309163i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 6.12790 | − | 18.8597i | 0.194659 | − | 0.599099i | −0.805321 | − | 0.592839i | \(-0.798007\pi\) |
0.999980 | − | 0.00626045i | \(-0.00199278\pi\) | |||||||
\(992\) | −1.31784 | + | 1.81386i | −0.0418416 | + | 0.0575900i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 22.3200 | + | 16.2164i | 0.707946 | + | 0.514353i | ||||
\(995\) | 3.73209 | + | 4.22890i | 0.118315 | + | 0.134065i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.15262 | − | 8.46835i | −0.194855 | − | 0.268195i | 0.700398 | − | 0.713752i | \(-0.253006\pi\) |
−0.895254 | + | 0.445557i | \(0.853006\pi\) | |||||||
\(998\) | 12.2815 | − | 3.99049i | 0.388763 | − | 0.126317i | ||||
\(999\) | 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 | 450.2.l.c.19.2 | 16 | ||
3.2 | odd | 2 | 150.2.h.b.19.3 | ✓ | 16 | ||
15.2 | even | 4 | 750.2.g.f.151.4 | 16 | |||
15.8 | even | 4 | 750.2.g.g.151.1 | 16 | |||
15.14 | odd | 2 | 750.2.h.d.349.2 | 16 | |||
25.4 | even | 10 | inner | 450.2.l.c.379.2 | 16 | ||
75.2 | even | 20 | 3750.2.a.v.1.7 | 8 | |||
75.11 | odd | 10 | 3750.2.c.k.1249.2 | 16 | |||
75.14 | odd | 10 | 3750.2.c.k.1249.15 | 16 | |||
75.23 | even | 20 | 3750.2.a.u.1.2 | 8 | |||
75.29 | odd | 10 | 150.2.h.b.79.3 | yes | 16 | ||
75.47 | even | 20 | 750.2.g.f.601.4 | 16 | |||
75.53 | even | 20 | 750.2.g.g.601.1 | 16 | |||
75.71 | odd | 10 | 750.2.h.d.649.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.2.h.b.19.3 | ✓ | 16 | 3.2 | odd | 2 | ||
150.2.h.b.79.3 | yes | 16 | 75.29 | odd | 10 | ||
450.2.l.c.19.2 | 16 | 1.1 | even | 1 | trivial | ||
450.2.l.c.379.2 | 16 | 25.4 | even | 10 | inner | ||
750.2.g.f.151.4 | 16 | 15.2 | even | 4 | |||
750.2.g.f.601.4 | 16 | 75.47 | even | 20 | |||
750.2.g.g.151.1 | 16 | 15.8 | even | 4 | |||
750.2.g.g.601.1 | 16 | 75.53 | even | 20 | |||
750.2.h.d.349.2 | 16 | 15.14 | odd | 2 | |||
750.2.h.d.649.1 | 16 | 75.71 | odd | 10 | |||
3750.2.a.u.1.2 | 8 | 75.23 | even | 20 | |||
3750.2.a.v.1.7 | 8 | 75.2 | even | 20 | |||
3750.2.c.k.1249.2 | 16 | 75.11 | odd | 10 | |||
3750.2.c.k.1249.15 | 16 | 75.14 | odd | 10 |