Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(461,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.461");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.f (of order \(2\), degree \(1\), 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: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 461.19 | ||
Character | \(\chi\) | \(=\) | 966.461 |
Dual form | 966.2.f.b.461.7 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | 0.375300 | + | 1.69090i | 0.216679 | + | 0.976243i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.513446 | 0.229620 | 0.114810 | − | 0.993387i | \(-0.463374\pi\) | ||||
0.114810 | + | 0.993387i | \(0.463374\pi\) | |||||||
\(6\) | −1.69090 | + | 0.375300i | −0.690308 | + | 0.153215i | ||||
\(7\) | −2.61371 | + | 0.410499i | −0.987890 | + | 0.155154i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | −2.71830 | + | 1.26919i | −0.906100 | + | 0.423063i | ||||
\(10\) | 0.513446i | 0.162366i | ||||||||
\(11\) | − | 3.12460i | − | 0.942103i | −0.882106 | − | 0.471051i | \(-0.843875\pi\) | ||
0.882106 | − | 0.471051i | \(-0.156125\pi\) | |||||||
\(12\) | −0.375300 | − | 1.69090i | −0.108340 | − | 0.488121i | ||||
\(13\) | − | 5.94261i | − | 1.64818i | −0.566456 | − | 0.824092i | \(-0.691686\pi\) | ||
0.566456 | − | 0.824092i | \(-0.308314\pi\) | |||||||
\(14\) | −0.410499 | − | 2.61371i | −0.109711 | − | 0.698544i | ||||
\(15\) | 0.192696 | + | 0.868187i | 0.0497539 | + | 0.224165i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −5.76481 | −1.39817 | −0.699086 | − | 0.715038i | \(-0.746410\pi\) | ||||
−0.699086 | + | 0.715038i | \(0.746410\pi\) | |||||||
\(18\) | −1.26919 | − | 2.71830i | −0.299151 | − | 0.640710i | ||||
\(19\) | 0.598956i | 0.137410i | 0.997637 | + | 0.0687049i | \(0.0218867\pi\) | ||||
−0.997637 | + | 0.0687049i | \(0.978113\pi\) | |||||||
\(20\) | −0.513446 | −0.114810 | ||||||||
\(21\) | −1.67504 | − | 4.26547i | −0.365523 | − | 0.930802i | ||||
\(22\) | 3.12460 | 0.666167 | ||||||||
\(23\) | − | 1.00000i | − | 0.208514i | ||||||
\(24\) | 1.69090 | − | 0.375300i | 0.345154 | − | 0.0766077i | ||||
\(25\) | −4.73637 | −0.947275 | ||||||||
\(26\) | 5.94261 | 1.16544 | ||||||||
\(27\) | −3.16625 | − | 4.12005i | −0.609346 | − | 0.792905i | ||||
\(28\) | 2.61371 | − | 0.410499i | 0.493945 | − | 0.0775770i | ||||
\(29\) | 7.46215i | 1.38569i | 0.721088 | + | 0.692843i | \(0.243642\pi\) | ||||
−0.721088 | + | 0.692843i | \(0.756358\pi\) | |||||||
\(30\) | −0.868187 | + | 0.192696i | −0.158508 | + | 0.0351813i | ||||
\(31\) | − | 7.72010i | − | 1.38657i | −0.720663 | − | 0.693286i | \(-0.756162\pi\) | ||
0.720663 | − | 0.693286i | \(-0.243838\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 5.28339 | − | 1.17266i | 0.919721 | − | 0.204134i | ||||
\(34\) | − | 5.76481i | − | 0.988657i | ||||||
\(35\) | −1.34200 | + | 0.210769i | −0.226839 | + | 0.0356265i | ||||
\(36\) | 2.71830 | − | 1.26919i | 0.453050 | − | 0.211532i | ||||
\(37\) | −1.50999 | −0.248241 | −0.124121 | − | 0.992267i | \(-0.539611\pi\) | ||||
−0.124121 | + | 0.992267i | \(0.539611\pi\) | |||||||
\(38\) | −0.598956 | −0.0971635 | ||||||||
\(39\) | 10.0484 | − | 2.23026i | 1.60903 | − | 0.357127i | ||||
\(40\) | − | 0.513446i | − | 0.0811829i | ||||||
\(41\) | 1.20021 | 0.187441 | 0.0937203 | − | 0.995599i | \(-0.470124\pi\) | ||||
0.0937203 | + | 0.995599i | \(0.470124\pi\) | |||||||
\(42\) | 4.26547 | − | 1.67504i | 0.658176 | − | 0.258464i | ||||
\(43\) | 5.20634 | 0.793960 | 0.396980 | − | 0.917827i | \(-0.370058\pi\) | ||||
0.396980 | + | 0.917827i | \(0.370058\pi\) | |||||||
\(44\) | 3.12460i | 0.471051i | ||||||||
\(45\) | −1.39570 | + | 0.651660i | −0.208059 | + | 0.0971438i | ||||
\(46\) | 1.00000 | 0.147442 | ||||||||
\(47\) | −6.27170 | −0.914821 | −0.457411 | − | 0.889256i | \(-0.651223\pi\) | ||||
−0.457411 | + | 0.889256i | \(0.651223\pi\) | |||||||
\(48\) | 0.375300 | + | 1.69090i | 0.0541698 | + | 0.244061i | ||||
\(49\) | 6.66298 | − | 2.14585i | 0.951854 | − | 0.306550i | ||||
\(50\) | − | 4.73637i | − | 0.669824i | ||||||
\(51\) | −2.16353 | − | 9.74773i | −0.302955 | − | 1.36496i | ||||
\(52\) | 5.94261i | 0.824092i | ||||||||
\(53\) | 11.4811i | 1.57705i | 0.615003 | + | 0.788525i | \(0.289155\pi\) | ||||
−0.615003 | + | 0.788525i | \(0.710845\pi\) | |||||||
\(54\) | 4.12005 | − | 3.16625i | 0.560668 | − | 0.430872i | ||||
\(55\) | − | 1.60431i | − | 0.216326i | ||||||
\(56\) | 0.410499 | + | 2.61371i | 0.0548553 | + | 0.349272i | ||||
\(57\) | −1.01278 | + | 0.224788i | −0.134145 | + | 0.0297739i | ||||
\(58\) | −7.46215 | −0.979829 | ||||||||
\(59\) | −11.2251 | −1.46138 | −0.730692 | − | 0.682708i | \(-0.760802\pi\) | ||||
−0.730692 | + | 0.682708i | \(0.760802\pi\) | |||||||
\(60\) | −0.192696 | − | 0.868187i | −0.0248770 | − | 0.112082i | ||||
\(61\) | 0.414953i | 0.0531293i | 0.999647 | + | 0.0265647i | \(0.00845679\pi\) | ||||
−0.999647 | + | 0.0265647i | \(0.991543\pi\) | |||||||
\(62\) | 7.72010 | 0.980454 | ||||||||
\(63\) | 6.58385 | − | 4.43316i | 0.829488 | − | 0.558525i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | − | 3.05121i | − | 0.378456i | ||||||
\(66\) | 1.17266 | + | 5.28339i | 0.144345 | + | 0.650341i | ||||
\(67\) | −6.23026 | −0.761147 | −0.380574 | − | 0.924751i | \(-0.624273\pi\) | ||||
−0.380574 | + | 0.924751i | \(0.624273\pi\) | |||||||
\(68\) | 5.76481 | 0.699086 | ||||||||
\(69\) | 1.69090 | − | 0.375300i | 0.203561 | − | 0.0451808i | ||||
\(70\) | −0.210769 | − | 1.34200i | −0.0251917 | − | 0.160400i | ||||
\(71\) | 4.92377i | 0.584344i | 0.956366 | + | 0.292172i | \(0.0943780\pi\) | ||||
−0.956366 | + | 0.292172i | \(0.905622\pi\) | |||||||
\(72\) | 1.26919 | + | 2.71830i | 0.149575 | + | 0.320355i | ||||
\(73\) | − | 3.88420i | − | 0.454612i | −0.973823 | − | 0.227306i | \(-0.927008\pi\) | ||
0.973823 | − | 0.227306i | \(-0.0729917\pi\) | |||||||
\(74\) | − | 1.50999i | − | 0.175533i | ||||||
\(75\) | −1.77756 | − | 8.00874i | −0.205255 | − | 0.924770i | ||||
\(76\) | − | 0.598956i | − | 0.0687049i | ||||||
\(77\) | 1.28265 | + | 8.16681i | 0.146171 | + | 0.930694i | ||||
\(78\) | 2.23026 | + | 10.0484i | 0.252527 | + | 1.13775i | ||||
\(79\) | −12.9971 | −1.46229 | −0.731144 | − | 0.682223i | \(-0.761013\pi\) | ||||
−0.731144 | + | 0.682223i | \(0.761013\pi\) | |||||||
\(80\) | 0.513446 | 0.0574050 | ||||||||
\(81\) | 5.77831 | − | 6.90008i | 0.642035 | − | 0.766675i | ||||
\(82\) | 1.20021i | 0.132541i | ||||||||
\(83\) | 11.5826 | 1.27136 | 0.635680 | − | 0.771953i | \(-0.280720\pi\) | ||||
0.635680 | + | 0.771953i | \(0.280720\pi\) | |||||||
\(84\) | 1.67504 | + | 4.26547i | 0.182762 | + | 0.465401i | ||||
\(85\) | −2.95992 | −0.321048 | ||||||||
\(86\) | 5.20634i | 0.561414i | ||||||||
\(87\) | −12.6178 | + | 2.80054i | −1.35277 | + | 0.300250i | ||||
\(88\) | −3.12460 | −0.333084 | ||||||||
\(89\) | −3.08081 | −0.326565 | −0.163283 | − | 0.986579i | \(-0.552208\pi\) | ||||
−0.163283 | + | 0.986579i | \(0.552208\pi\) | |||||||
\(90\) | −0.651660 | − | 1.39570i | −0.0686910 | − | 0.147120i | ||||
\(91\) | 2.43944 | + | 15.5323i | 0.255722 | + | 1.62822i | ||||
\(92\) | 1.00000i | 0.104257i | ||||||||
\(93\) | 13.0539 | − | 2.89735i | 1.35363 | − | 0.300441i | ||||
\(94\) | − | 6.27170i | − | 0.646876i | ||||||
\(95\) | 0.307531i | 0.0315521i | ||||||||
\(96\) | −1.69090 | + | 0.375300i | −0.172577 | + | 0.0383039i | ||||
\(97\) | − | 4.96299i | − | 0.503915i | −0.967738 | − | 0.251958i | \(-0.918926\pi\) | ||
0.967738 | − | 0.251958i | \(-0.0810744\pi\) | |||||||
\(98\) | 2.14585 | + | 6.66298i | 0.216764 | + | 0.673063i | ||||
\(99\) | 3.96571 | + | 8.49360i | 0.398569 | + | 0.853639i | ||||
\(100\) | 4.73637 | 0.473637 | ||||||||
\(101\) | 11.5773 | 1.15199 | 0.575993 | − | 0.817455i | \(-0.304616\pi\) | ||||
0.575993 | + | 0.817455i | \(0.304616\pi\) | |||||||
\(102\) | 9.74773 | − | 2.16353i | 0.965169 | − | 0.214222i | ||||
\(103\) | − | 9.68173i | − | 0.953969i | −0.878912 | − | 0.476985i | \(-0.841730\pi\) | ||
0.878912 | − | 0.476985i | \(-0.158270\pi\) | |||||||
\(104\) | −5.94261 | −0.582721 | ||||||||
\(105\) | −0.860042 | − | 2.19009i | −0.0839315 | − | 0.213731i | ||||
\(106\) | −11.4811 | −1.11514 | ||||||||
\(107\) | − | 8.90889i | − | 0.861255i | −0.902530 | − | 0.430628i | \(-0.858292\pi\) | ||
0.902530 | − | 0.430628i | \(-0.141708\pi\) | |||||||
\(108\) | 3.16625 | + | 4.12005i | 0.304673 | + | 0.396452i | ||||
\(109\) | 0.131905 | 0.0126342 | 0.00631710 | − | 0.999980i | \(-0.497989\pi\) | ||||
0.00631710 | + | 0.999980i | \(0.497989\pi\) | |||||||
\(110\) | 1.60431 | 0.152965 | ||||||||
\(111\) | −0.566700 | − | 2.55325i | −0.0537888 | − | 0.242344i | ||||
\(112\) | −2.61371 | + | 0.410499i | −0.246973 | + | 0.0387885i | ||||
\(113\) | − | 2.89434i | − | 0.272277i | −0.990690 | − | 0.136138i | \(-0.956531\pi\) | ||
0.990690 | − | 0.136138i | \(-0.0434692\pi\) | |||||||
\(114\) | −0.224788 | − | 1.01278i | −0.0210533 | − | 0.0948551i | ||||
\(115\) | − | 0.513446i | − | 0.0478791i | ||||||
\(116\) | − | 7.46215i | − | 0.692843i | ||||||
\(117\) | 7.54230 | + | 16.1538i | 0.697286 | + | 1.49342i | ||||
\(118\) | − | 11.2251i | − | 1.03335i | ||||||
\(119\) | 15.0676 | − | 2.36645i | 1.38124 | − | 0.216932i | ||||
\(120\) | 0.868187 | − | 0.192696i | 0.0792542 | − | 0.0175907i | ||||
\(121\) | 1.23687 | 0.112443 | ||||||||
\(122\) | −0.414953 | −0.0375681 | ||||||||
\(123\) | 0.450437 | + | 2.02943i | 0.0406145 | + | 0.182988i | ||||
\(124\) | 7.72010i | 0.693286i | ||||||||
\(125\) | −4.99910 | −0.447133 | ||||||||
\(126\) | 4.43316 | + | 6.58385i | 0.394937 | + | 0.586536i | ||||
\(127\) | 2.86544 | 0.254267 | 0.127133 | − | 0.991886i | \(-0.459422\pi\) | ||||
0.127133 | + | 0.991886i | \(0.459422\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | 1.95394 | + | 8.80341i | 0.172035 | + | 0.775097i | ||||
\(130\) | 3.05121 | 0.267609 | ||||||||
\(131\) | 6.14864 | 0.537209 | 0.268605 | − | 0.963251i | \(-0.413438\pi\) | ||||
0.268605 | + | 0.963251i | \(0.413438\pi\) | |||||||
\(132\) | −5.28339 | + | 1.17266i | −0.459860 | + | 0.102067i | ||||
\(133\) | −0.245871 | − | 1.56550i | −0.0213197 | − | 0.135746i | ||||
\(134\) | − | 6.23026i | − | 0.538212i | ||||||
\(135\) | −1.62570 | − | 2.11542i | −0.139918 | − | 0.182067i | ||||
\(136\) | 5.76481i | 0.494328i | ||||||||
\(137\) | − | 5.99665i | − | 0.512329i | −0.966633 | − | 0.256164i | \(-0.917541\pi\) | ||
0.966633 | − | 0.256164i | \(-0.0824588\pi\) | |||||||
\(138\) | 0.375300 | + | 1.69090i | 0.0319476 | + | 0.143939i | ||||
\(139\) | − | 11.1572i | − | 0.946341i | −0.880971 | − | 0.473170i | \(-0.843109\pi\) | ||
0.880971 | − | 0.473170i | \(-0.156891\pi\) | |||||||
\(140\) | 1.34200 | − | 0.210769i | 0.113420 | − | 0.0178132i | ||||
\(141\) | −2.35377 | − | 10.6048i | −0.198223 | − | 0.893087i | ||||
\(142\) | −4.92377 | −0.413194 | ||||||||
\(143\) | −18.5683 | −1.55276 | ||||||||
\(144\) | −2.71830 | + | 1.26919i | −0.226525 | + | 0.105766i | ||||
\(145\) | 3.83141i | 0.318181i | ||||||||
\(146\) | 3.88420 | 0.321459 | ||||||||
\(147\) | 6.12904 | + | 10.4611i | 0.505515 | + | 0.862818i | ||||
\(148\) | 1.50999 | 0.124121 | ||||||||
\(149\) | 19.4811i | 1.59595i | 0.602688 | + | 0.797977i | \(0.294096\pi\) | ||||
−0.602688 | + | 0.797977i | \(0.705904\pi\) | |||||||
\(150\) | 8.00874 | − | 1.77756i | 0.653911 | − | 0.145137i | ||||
\(151\) | −17.5790 | −1.43056 | −0.715279 | − | 0.698839i | \(-0.753700\pi\) | ||||
−0.715279 | + | 0.698839i | \(0.753700\pi\) | |||||||
\(152\) | 0.598956 | 0.0485817 | ||||||||
\(153\) | 15.6705 | − | 7.31664i | 1.26688 | − | 0.591515i | ||||
\(154\) | −8.16681 | + | 1.28265i | −0.658100 | + | 0.103359i | ||||
\(155\) | − | 3.96385i | − | 0.318384i | ||||||
\(156\) | −10.0484 | + | 2.23026i | −0.804514 | + | 0.178564i | ||||
\(157\) | 20.1823i | 1.61072i | 0.592787 | + | 0.805359i | \(0.298028\pi\) | ||||
−0.592787 | + | 0.805359i | \(0.701972\pi\) | |||||||
\(158\) | − | 12.9971i | − | 1.03399i | ||||||
\(159\) | −19.4134 | + | 4.30885i | −1.53958 | + | 0.341714i | ||||
\(160\) | 0.513446i | 0.0405915i | ||||||||
\(161\) | 0.410499 | + | 2.61371i | 0.0323519 | + | 0.205989i | ||||
\(162\) | 6.90008 | + | 5.77831i | 0.542121 | + | 0.453987i | ||||
\(163\) | −12.0967 | −0.947490 | −0.473745 | − | 0.880662i | \(-0.657098\pi\) | ||||
−0.473745 | + | 0.880662i | \(0.657098\pi\) | |||||||
\(164\) | −1.20021 | −0.0937203 | ||||||||
\(165\) | 2.71274 | − | 0.602098i | 0.211186 | − | 0.0468733i | ||||
\(166\) | 11.5826i | 0.898987i | ||||||||
\(167\) | −9.90523 | −0.766490 | −0.383245 | − | 0.923647i | \(-0.625193\pi\) | ||||
−0.383245 | + | 0.923647i | \(0.625193\pi\) | |||||||
\(168\) | −4.26547 | + | 1.67504i | −0.329088 | + | 0.129232i | ||||
\(169\) | −22.3146 | −1.71651 | ||||||||
\(170\) | − | 2.95992i | − | 0.227015i | ||||||
\(171\) | −0.760189 | − | 1.62814i | −0.0581331 | − | 0.124507i | ||||
\(172\) | −5.20634 | −0.396980 | ||||||||
\(173\) | −15.4859 | −1.17737 | −0.588686 | − | 0.808362i | \(-0.700354\pi\) | ||||
−0.588686 | + | 0.808362i | \(0.700354\pi\) | |||||||
\(174\) | −2.80054 | − | 12.6178i | −0.212309 | − | 0.956551i | ||||
\(175\) | 12.3795 | − | 1.94428i | 0.935803 | − | 0.146974i | ||||
\(176\) | − | 3.12460i | − | 0.235526i | ||||||
\(177\) | −4.21278 | − | 18.9805i | −0.316652 | − | 1.42667i | ||||
\(178\) | − | 3.08081i | − | 0.230917i | ||||||
\(179\) | − | 1.39837i | − | 0.104519i | −0.998634 | − | 0.0522594i | \(-0.983358\pi\) | ||
0.998634 | − | 0.0522594i | \(-0.0166423\pi\) | |||||||
\(180\) | 1.39570 | − | 0.651660i | 0.104029 | − | 0.0485719i | ||||
\(181\) | 8.72194i | 0.648296i | 0.946006 | + | 0.324148i | \(0.105078\pi\) | ||||
−0.946006 | + | 0.324148i | \(0.894922\pi\) | |||||||
\(182\) | −15.5323 | + | 2.43944i | −1.15133 | + | 0.180823i | ||||
\(183\) | −0.701645 | + | 0.155732i | −0.0518671 | + | 0.0115120i | ||||
\(184\) | −1.00000 | −0.0737210 | ||||||||
\(185\) | −0.775300 | −0.0570012 | ||||||||
\(186\) | 2.89735 | + | 13.0539i | 0.212444 | + | 0.957161i | ||||
\(187\) | 18.0127i | 1.31722i | ||||||||
\(188\) | 6.27170 | 0.457411 | ||||||||
\(189\) | 9.96695 | + | 9.46889i | 0.724989 | + | 0.688760i | ||||
\(190\) | −0.307531 | −0.0223107 | ||||||||
\(191\) | 2.53346i | 0.183314i | 0.995791 | + | 0.0916572i | \(0.0292164\pi\) | ||||
−0.995791 | + | 0.0916572i | \(0.970784\pi\) | |||||||
\(192\) | −0.375300 | − | 1.69090i | −0.0270849 | − | 0.122030i | ||||
\(193\) | −20.4444 | −1.47162 | −0.735811 | − | 0.677187i | \(-0.763199\pi\) | ||||
−0.735811 | + | 0.677187i | \(0.763199\pi\) | |||||||
\(194\) | 4.96299 | 0.356322 | ||||||||
\(195\) | 5.15930 | − | 1.14512i | 0.369465 | − | 0.0820036i | ||||
\(196\) | −6.66298 | + | 2.14585i | −0.475927 | + | 0.153275i | ||||
\(197\) | − | 12.1385i | − | 0.864830i | −0.901675 | − | 0.432415i | \(-0.857662\pi\) | ||
0.901675 | − | 0.432415i | \(-0.142338\pi\) | |||||||
\(198\) | −8.49360 | + | 3.96571i | −0.603614 | + | 0.281831i | ||||
\(199\) | 5.49653i | 0.389639i | 0.980839 | + | 0.194819i | \(0.0624121\pi\) | ||||
−0.980839 | + | 0.194819i | \(0.937588\pi\) | |||||||
\(200\) | 4.73637i | 0.334912i | ||||||||
\(201\) | −2.33821 | − | 10.5348i | −0.164925 | − | 0.743065i | ||||
\(202\) | 11.5773i | 0.814577i | ||||||||
\(203\) | −3.06321 | − | 19.5039i | −0.214995 | − | 1.36891i | ||||
\(204\) | 2.16353 | + | 9.74773i | 0.151477 | + | 0.682478i | ||||
\(205\) | 0.616241 | 0.0430401 | ||||||||
\(206\) | 9.68173 | 0.674558 | ||||||||
\(207\) | 1.26919 | + | 2.71830i | 0.0882148 | + | 0.188935i | ||||
\(208\) | − | 5.94261i | − | 0.412046i | ||||||
\(209\) | 1.87150 | 0.129454 | ||||||||
\(210\) | 2.19009 | − | 0.860042i | 0.151130 | − | 0.0593485i | ||||
\(211\) | 20.5183 | 1.41254 | 0.706268 | − | 0.707944i | \(-0.250377\pi\) | ||||
0.706268 | + | 0.707944i | \(0.250377\pi\) | |||||||
\(212\) | − | 11.4811i | − | 0.788525i | ||||||
\(213\) | −8.32562 | + | 1.84789i | −0.570462 | + | 0.126615i | ||||
\(214\) | 8.90889 | 0.608999 | ||||||||
\(215\) | 2.67317 | 0.182309 | ||||||||
\(216\) | −4.12005 | + | 3.16625i | −0.280334 | + | 0.215436i | ||||
\(217\) | 3.16909 | + | 20.1781i | 0.215132 | + | 1.36978i | ||||
\(218\) | 0.131905i | 0.00893373i | ||||||||
\(219\) | 6.56781 | − | 1.45774i | 0.443812 | − | 0.0985050i | ||||
\(220\) | 1.60431i | 0.108163i | ||||||||
\(221\) | 34.2580i | 2.30444i | ||||||||
\(222\) | 2.55325 | − | 0.566700i | 0.171363 | − | 0.0380344i | ||||
\(223\) | − | 13.9302i | − | 0.932837i | −0.884564 | − | 0.466419i | \(-0.845544\pi\) | ||
0.884564 | − | 0.466419i | \(-0.154456\pi\) | |||||||
\(224\) | −0.410499 | − | 2.61371i | −0.0274276 | − | 0.174636i | ||||
\(225\) | 12.8749 | − | 6.01136i | 0.858326 | − | 0.400757i | ||||
\(226\) | 2.89434 | 0.192529 | ||||||||
\(227\) | −20.1970 | −1.34052 | −0.670260 | − | 0.742126i | \(-0.733818\pi\) | ||||
−0.670260 | + | 0.742126i | \(0.733818\pi\) | |||||||
\(228\) | 1.01278 | − | 0.224788i | 0.0670727 | − | 0.0148869i | ||||
\(229\) | − | 5.07556i | − | 0.335402i | −0.985838 | − | 0.167701i | \(-0.946366\pi\) | ||
0.985838 | − | 0.167701i | \(-0.0536344\pi\) | |||||||
\(230\) | 0.513446 | 0.0338556 | ||||||||
\(231\) | −13.3279 | + | 5.23383i | −0.876911 | + | 0.344361i | ||||
\(232\) | 7.46215 | 0.489914 | ||||||||
\(233\) | 16.3692i | 1.07238i | 0.844096 | + | 0.536192i | \(0.180138\pi\) | ||||
−0.844096 | + | 0.536192i | \(0.819862\pi\) | |||||||
\(234\) | −16.1538 | + | 7.54230i | −1.05601 | + | 0.493056i | ||||
\(235\) | −3.22018 | −0.210061 | ||||||||
\(236\) | 11.2251 | 0.730692 | ||||||||
\(237\) | −4.87781 | − | 21.9768i | −0.316848 | − | 1.42755i | ||||
\(238\) | 2.36645 | + | 15.0676i | 0.153394 | + | 0.976685i | ||||
\(239\) | − | 17.3203i | − | 1.12036i | −0.828372 | − | 0.560178i | \(-0.810733\pi\) | ||
0.828372 | − | 0.560178i | \(-0.189267\pi\) | |||||||
\(240\) | 0.192696 | + | 0.868187i | 0.0124385 | + | 0.0560412i | ||||
\(241\) | 1.31010i | 0.0843910i | 0.999109 | + | 0.0421955i | \(0.0134352\pi\) | ||||
−0.999109 | + | 0.0421955i | \(0.986565\pi\) | |||||||
\(242\) | 1.23687i | 0.0795089i | ||||||||
\(243\) | 13.8360 | + | 7.18097i | 0.887577 | + | 0.460659i | ||||
\(244\) | − | 0.414953i | − | 0.0265647i | ||||||
\(245\) | 3.42108 | − | 1.10178i | 0.218565 | − | 0.0703901i | ||||
\(246\) | −2.02943 | + | 0.450437i | −0.129392 | + | 0.0287188i | ||||
\(247\) | 3.55936 | 0.226477 | ||||||||
\(248\) | −7.72010 | −0.490227 | ||||||||
\(249\) | 4.34696 | + | 19.5851i | 0.275477 | + | 1.24116i | ||||
\(250\) | − | 4.99910i | − | 0.316171i | ||||||
\(251\) | −13.5742 | −0.856794 | −0.428397 | − | 0.903591i | \(-0.640922\pi\) | ||||
−0.428397 | + | 0.903591i | \(0.640922\pi\) | |||||||
\(252\) | −6.58385 | + | 4.43316i | −0.414744 | + | 0.279263i | ||||
\(253\) | −3.12460 | −0.196442 | ||||||||
\(254\) | 2.86544i | 0.179794i | ||||||||
\(255\) | −1.11086 | − | 5.00493i | −0.0695645 | − | 0.313421i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 7.53285 | 0.469886 | 0.234943 | − | 0.972009i | \(-0.424510\pi\) | ||||
0.234943 | + | 0.972009i | \(0.424510\pi\) | |||||||
\(258\) | −8.80341 | + | 1.95394i | −0.548077 | + | 0.121647i | ||||
\(259\) | 3.94669 | − | 0.619851i | 0.245235 | − | 0.0385157i | ||||
\(260\) | 3.05121i | 0.189228i | ||||||||
\(261\) | −9.47089 | − | 20.2844i | −0.586233 | − | 1.25557i | ||||
\(262\) | 6.14864i | 0.379864i | ||||||||
\(263\) | − | 11.0572i | − | 0.681818i | −0.940096 | − | 0.340909i | \(-0.889265\pi\) | ||
0.940096 | − | 0.340909i | \(-0.110735\pi\) | |||||||
\(264\) | −1.17266 | − | 5.28339i | −0.0721723 | − | 0.325170i | ||||
\(265\) | 5.89492i | 0.362122i | ||||||||
\(266\) | 1.56550 | − | 0.245871i | 0.0959868 | − | 0.0150753i | ||||
\(267\) | −1.15623 | − | 5.20935i | −0.0707600 | − | 0.318807i | ||||
\(268\) | 6.23026 | 0.380574 | ||||||||
\(269\) | 23.5386 | 1.43517 | 0.717587 | − | 0.696469i | \(-0.245246\pi\) | ||||
0.717587 | + | 0.696469i | \(0.245246\pi\) | |||||||
\(270\) | 2.11542 | − | 1.62570i | 0.128741 | − | 0.0989369i | ||||
\(271\) | − | 31.8184i | − | 1.93283i | −0.256987 | − | 0.966415i | \(-0.582730\pi\) | ||
0.256987 | − | 0.966415i | \(-0.417270\pi\) | |||||||
\(272\) | −5.76481 | −0.349543 | ||||||||
\(273\) | −25.3480 | + | 9.95410i | −1.53413 | + | 0.602450i | ||||
\(274\) | 5.99665 | 0.362271 | ||||||||
\(275\) | 14.7993i | 0.892430i | ||||||||
\(276\) | −1.69090 | + | 0.375300i | −0.101780 | + | 0.0225904i | ||||
\(277\) | −19.4731 | −1.17002 | −0.585012 | − | 0.811024i | \(-0.698910\pi\) | ||||
−0.585012 | + | 0.811024i | \(0.698910\pi\) | |||||||
\(278\) | 11.1572 | 0.669164 | ||||||||
\(279\) | 9.79828 | + | 20.9856i | 0.586607 | + | 1.25637i | ||||
\(280\) | 0.210769 | + | 1.34200i | 0.0125959 | + | 0.0801998i | ||||
\(281\) | 30.0501i | 1.79264i | 0.443412 | + | 0.896318i | \(0.353768\pi\) | ||||
−0.443412 | + | 0.896318i | \(0.646232\pi\) | |||||||
\(282\) | 10.6048 | − | 2.35377i | 0.631508 | − | 0.140165i | ||||
\(283\) | 13.1776i | 0.783325i | 0.920109 | + | 0.391662i | \(0.128100\pi\) | ||||
−0.920109 | + | 0.391662i | \(0.871900\pi\) | |||||||
\(284\) | − | 4.92377i | − | 0.292172i | ||||||
\(285\) | −0.520005 | + | 0.115416i | −0.0308025 | + | 0.00683668i | ||||
\(286\) | − | 18.5683i | − | 1.09797i | ||||||
\(287\) | −3.13699 | + | 0.492683i | −0.185171 | + | 0.0290822i | ||||
\(288\) | −1.26919 | − | 2.71830i | −0.0747877 | − | 0.160177i | ||||
\(289\) | 16.2330 | 0.954885 | ||||||||
\(290\) | −3.83141 | −0.224988 | ||||||||
\(291\) | 8.39193 | − | 1.86261i | 0.491944 | − | 0.109188i | ||||
\(292\) | 3.88420i | 0.227306i | ||||||||
\(293\) | −22.0715 | −1.28943 | −0.644715 | − | 0.764423i | \(-0.723024\pi\) | ||||
−0.644715 | + | 0.764423i | \(0.723024\pi\) | |||||||
\(294\) | −10.4611 | + | 6.12904i | −0.610104 | + | 0.357453i | ||||
\(295\) | −5.76348 | −0.335563 | ||||||||
\(296\) | 1.50999i | 0.0877666i | ||||||||
\(297\) | −12.8735 | + | 9.89328i | −0.746998 | + | 0.574066i | ||||
\(298\) | −19.4811 | −1.12851 | ||||||||
\(299\) | −5.94261 | −0.343670 | ||||||||
\(300\) | 1.77756 | + | 8.00874i | 0.102627 | + | 0.462385i | ||||
\(301\) | −13.6079 | + | 2.13720i | −0.784345 | + | 0.123186i | ||||
\(302\) | − | 17.5790i | − | 1.01156i | ||||||
\(303\) | 4.34496 | + | 19.5761i | 0.249611 | + | 1.12462i | ||||
\(304\) | 0.598956i | 0.0343525i | ||||||||
\(305\) | 0.213056i | 0.0121996i | ||||||||
\(306\) | 7.31664 | + | 15.6705i | 0.418264 | + | 0.895822i | ||||
\(307\) | − | 12.0164i | − | 0.685814i | −0.939369 | − | 0.342907i | \(-0.888588\pi\) | ||
0.939369 | − | 0.342907i | \(-0.111412\pi\) | |||||||
\(308\) | −1.28265 | − | 8.16681i | −0.0730855 | − | 0.465347i | ||||
\(309\) | 16.3709 | − | 3.63355i | 0.931306 | − | 0.206705i | ||||
\(310\) | 3.96385 | 0.225132 | ||||||||
\(311\) | 1.75546 | 0.0995432 | 0.0497716 | − | 0.998761i | \(-0.484151\pi\) | ||||
0.0497716 | + | 0.998761i | \(0.484151\pi\) | |||||||
\(312\) | −2.23026 | − | 10.0484i | −0.126264 | − | 0.568877i | ||||
\(313\) | − | 11.1277i | − | 0.628975i | −0.949262 | − | 0.314488i | \(-0.898167\pi\) | ||
0.949262 | − | 0.314488i | \(-0.101833\pi\) | |||||||
\(314\) | −20.1823 | −1.13895 | ||||||||
\(315\) | 3.38045 | − | 2.27619i | 0.190467 | − | 0.128249i | ||||
\(316\) | 12.9971 | 0.731144 | ||||||||
\(317\) | − | 28.4300i | − | 1.59679i | −0.602135 | − | 0.798394i | \(-0.705683\pi\) | ||
0.602135 | − | 0.798394i | \(-0.294317\pi\) | |||||||
\(318\) | −4.30885 | − | 19.4134i | −0.241628 | − | 1.08865i | ||||
\(319\) | 23.3162 | 1.30546 | ||||||||
\(320\) | −0.513446 | −0.0287025 | ||||||||
\(321\) | 15.0641 | − | 3.34350i | 0.840794 | − | 0.186616i | ||||
\(322\) | −2.61371 | + | 0.410499i | −0.145656 | + | 0.0228762i | ||||
\(323\) | − | 3.45287i | − | 0.192123i | ||||||
\(324\) | −5.77831 | + | 6.90008i | −0.321017 | + | 0.383338i | ||||
\(325\) | 28.1464i | 1.56128i | ||||||||
\(326\) | − | 12.0967i | − | 0.669977i | ||||||
\(327\) | 0.0495039 | + | 0.223038i | 0.00273757 | + | 0.0123340i | ||||
\(328\) | − | 1.20021i | − | 0.0662703i | ||||||
\(329\) | 16.3924 | − | 2.57453i | 0.903743 | − | 0.141938i | ||||
\(330\) | 0.602098 | + | 2.71274i | 0.0331444 | + | 0.149331i | ||||
\(331\) | 13.9077 | 0.764437 | 0.382219 | − | 0.924072i | \(-0.375160\pi\) | ||||
0.382219 | + | 0.924072i | \(0.375160\pi\) | |||||||
\(332\) | −11.5826 | −0.635680 | ||||||||
\(333\) | 4.10461 | − | 1.91647i | 0.224932 | − | 0.105022i | ||||
\(334\) | − | 9.90523i | − | 0.541990i | ||||||
\(335\) | −3.19890 | −0.174775 | ||||||||
\(336\) | −1.67504 | − | 4.26547i | −0.0913809 | − | 0.232701i | ||||
\(337\) | 21.1199 | 1.15048 | 0.575238 | − | 0.817986i | \(-0.304910\pi\) | ||||
0.575238 | + | 0.817986i | \(0.304910\pi\) | |||||||
\(338\) | − | 22.3146i | − | 1.21376i | ||||||
\(339\) | 4.89405 | − | 1.08625i | 0.265808 | − | 0.0589967i | ||||
\(340\) | 2.95992 | 0.160524 | ||||||||
\(341\) | −24.1222 | −1.30629 | ||||||||
\(342\) | 1.62814 | − | 0.760189i | 0.0880398 | − | 0.0411063i | ||||
\(343\) | −16.5342 | + | 8.34379i | −0.892765 | + | 0.450522i | ||||
\(344\) | − | 5.20634i | − | 0.280707i | ||||||
\(345\) | 0.868187 | − | 0.192696i | 0.0467416 | − | 0.0103744i | ||||
\(346\) | − | 15.4859i | − | 0.832527i | ||||||
\(347\) | 19.1370i | 1.02733i | 0.857991 | + | 0.513664i | \(0.171712\pi\) | ||||
−0.857991 | + | 0.513664i | \(0.828288\pi\) | |||||||
\(348\) | 12.6178 | − | 2.80054i | 0.676383 | − | 0.150125i | ||||
\(349\) | − | 14.1011i | − | 0.754815i | −0.926047 | − | 0.377408i | \(-0.876816\pi\) | ||
0.926047 | − | 0.377408i | \(-0.123184\pi\) | |||||||
\(350\) | 1.94428 | + | 12.3795i | 0.103926 | + | 0.661713i | ||||
\(351\) | −24.4839 | + | 18.8158i | −1.30685 | + | 1.00431i | ||||
\(352\) | 3.12460 | 0.166542 | ||||||||
\(353\) | 18.6428 | 0.992255 | 0.496127 | − | 0.868250i | \(-0.334755\pi\) | ||||
0.496127 | + | 0.868250i | \(0.334755\pi\) | |||||||
\(354\) | 18.9805 | − | 4.21278i | 1.00880 | − | 0.223906i | ||||
\(355\) | 2.52809i | 0.134177i | ||||||||
\(356\) | 3.08081 | 0.163283 | ||||||||
\(357\) | 9.65628 | + | 24.5896i | 0.511065 | + | 1.30142i | ||||
\(358\) | 1.39837 | 0.0739060 | ||||||||
\(359\) | 31.3788i | 1.65611i | 0.560647 | + | 0.828055i | \(0.310552\pi\) | ||||
−0.560647 | + | 0.828055i | \(0.689448\pi\) | |||||||
\(360\) | 0.651660 | + | 1.39570i | 0.0343455 | + | 0.0735598i | ||||
\(361\) | 18.6413 | 0.981119 | ||||||||
\(362\) | −8.72194 | −0.458415 | ||||||||
\(363\) | 0.464196 | + | 2.09142i | 0.0243640 | + | 0.109771i | ||||
\(364\) | −2.43944 | − | 15.5323i | −0.127861 | − | 0.814112i | ||||
\(365\) | − | 1.99433i | − | 0.104388i | ||||||
\(366\) | −0.155732 | − | 0.701645i | −0.00814023 | − | 0.0366756i | ||||
\(367\) | 37.8630i | 1.97643i | 0.153060 | + | 0.988217i | \(0.451087\pi\) | ||||
−0.153060 | + | 0.988217i | \(0.548913\pi\) | |||||||
\(368\) | − | 1.00000i | − | 0.0521286i | ||||||
\(369\) | −3.26252 | + | 1.52329i | −0.169840 | + | 0.0792993i | ||||
\(370\) | − | 0.775300i | − | 0.0403059i | ||||||
\(371\) | −4.71298 | − | 30.0083i | −0.244686 | − | 1.55795i | ||||
\(372\) | −13.0539 | + | 2.89735i | −0.676815 | + | 0.150221i | ||||
\(373\) | 29.9205 | 1.54922 | 0.774612 | − | 0.632437i | \(-0.217945\pi\) | ||||
0.774612 | + | 0.632437i | \(0.217945\pi\) | |||||||
\(374\) | −18.0127 | −0.931416 | ||||||||
\(375\) | −1.87616 | − | 8.45299i | −0.0968845 | − | 0.436511i | ||||
\(376\) | 6.27170i | 0.323438i | ||||||||
\(377\) | 44.3447 | 2.28387 | ||||||||
\(378\) | −9.46889 | + | 9.96695i | −0.487027 | + | 0.512645i | ||||
\(379\) | 4.96883 | 0.255232 | 0.127616 | − | 0.991824i | \(-0.459268\pi\) | ||||
0.127616 | + | 0.991824i | \(0.459268\pi\) | |||||||
\(380\) | − | 0.307531i | − | 0.0157760i | ||||||
\(381\) | 1.07540 | + | 4.84518i | 0.0550944 | + | 0.248226i | ||||
\(382\) | −2.53346 | −0.129623 | ||||||||
\(383\) | 8.23658 | 0.420869 | 0.210435 | − | 0.977608i | \(-0.432512\pi\) | ||||
0.210435 | + | 0.977608i | \(0.432512\pi\) | |||||||
\(384\) | 1.69090 | − | 0.375300i | 0.0862885 | − | 0.0191519i | ||||
\(385\) | 0.658569 | + | 4.19321i | 0.0335638 | + | 0.213706i | ||||
\(386\) | − | 20.4444i | − | 1.04059i | ||||||
\(387\) | −14.1524 | + | 6.60784i | −0.719407 | + | 0.335895i | ||||
\(388\) | 4.96299i | 0.251958i | ||||||||
\(389\) | − | 4.16289i | − | 0.211067i | −0.994416 | − | 0.105533i | \(-0.966345\pi\) | ||
0.994416 | − | 0.105533i | \(-0.0336550\pi\) | |||||||
\(390\) | 1.14512 | + | 5.15930i | 0.0579853 | + | 0.261251i | ||||
\(391\) | 5.76481i | 0.291539i | ||||||||
\(392\) | −2.14585 | − | 6.66298i | −0.108382 | − | 0.336531i | ||||
\(393\) | 2.30758 | + | 10.3967i | 0.116402 | + | 0.524447i | ||||
\(394\) | 12.1385 | 0.611527 | ||||||||
\(395\) | −6.67331 | −0.335771 | ||||||||
\(396\) | −3.96571 | − | 8.49360i | −0.199285 | − | 0.426820i | ||||
\(397\) | − | 22.7412i | − | 1.14135i | −0.821176 | − | 0.570675i | \(-0.806682\pi\) | ||
0.821176 | − | 0.570675i | \(-0.193318\pi\) | |||||||
\(398\) | −5.49653 | −0.275516 | ||||||||
\(399\) | 2.55483 | − | 1.00327i | 0.127901 | − | 0.0502265i | ||||
\(400\) | −4.73637 | −0.236819 | ||||||||
\(401\) | − | 3.51834i | − | 0.175698i | −0.996134 | − | 0.0878488i | \(-0.972001\pi\) | ||
0.996134 | − | 0.0878488i | \(-0.0279992\pi\) | |||||||
\(402\) | 10.5348 | − | 2.33821i | 0.525426 | − | 0.116620i | ||||
\(403\) | −45.8776 | −2.28532 | ||||||||
\(404\) | −11.5773 | −0.575993 | ||||||||
\(405\) | 2.96685 | − | 3.54282i | 0.147424 | − | 0.176044i | ||||
\(406\) | 19.5039 | − | 3.06321i | 0.967963 | − | 0.152024i | ||||
\(407\) | 4.71813i | 0.233869i | ||||||||
\(408\) | −9.74773 | + | 2.16353i | −0.482585 | + | 0.107111i | ||||
\(409\) | 18.0529i | 0.892659i | 0.894869 | + | 0.446329i | \(0.147269\pi\) | ||||
−0.894869 | + | 0.446329i | \(0.852731\pi\) | |||||||
\(410\) | 0.616241i | 0.0304340i | ||||||||
\(411\) | 10.1398 | − | 2.25054i | 0.500157 | − | 0.111011i | ||||
\(412\) | 9.68173i | 0.476985i | ||||||||
\(413\) | 29.3392 | − | 4.60789i | 1.44369 | − | 0.226740i | ||||
\(414\) | −2.71830 | + | 1.26919i | −0.133597 | + | 0.0623773i | ||||
\(415\) | 5.94706 | 0.291930 | ||||||||
\(416\) | 5.94261 | 0.291360 | ||||||||
\(417\) | 18.8657 | − | 4.18729i | 0.923858 | − | 0.205053i | ||||
\(418\) | 1.87150i | 0.0915380i | ||||||||
\(419\) | 27.0100 | 1.31952 | 0.659762 | − | 0.751474i | \(-0.270657\pi\) | ||||
0.659762 | + | 0.751474i | \(0.270657\pi\) | |||||||
\(420\) | 0.860042 | + | 2.19009i | 0.0419657 | + | 0.106865i | ||||
\(421\) | −26.3099 | −1.28227 | −0.641133 | − | 0.767430i | \(-0.721535\pi\) | ||||
−0.641133 | + | 0.767430i | \(0.721535\pi\) | |||||||
\(422\) | 20.5183i | 0.998814i | ||||||||
\(423\) | 17.0484 | − | 7.95997i | 0.828919 | − | 0.387027i | ||||
\(424\) | 11.4811 | 0.557571 | ||||||||
\(425\) | 27.3043 | 1.32445 | ||||||||
\(426\) | −1.84789 | − | 8.32562i | −0.0895306 | − | 0.403377i | ||||
\(427\) | −0.170338 | − | 1.08457i | −0.00824323 | − | 0.0524859i | ||||
\(428\) | 8.90889i | 0.430628i | ||||||||
\(429\) | −6.96867 | − | 31.3972i | −0.336451 | − | 1.51587i | ||||
\(430\) | 2.67317i | 0.128912i | ||||||||
\(431\) | 15.9844i | 0.769940i | 0.922929 | + | 0.384970i | \(0.125788\pi\) | ||||
−0.922929 | + | 0.384970i | \(0.874212\pi\) | |||||||
\(432\) | −3.16625 | − | 4.12005i | −0.152336 | − | 0.198226i | ||||
\(433\) | − | 40.7682i | − | 1.95920i | −0.200967 | − | 0.979598i | \(-0.564408\pi\) | ||
0.200967 | − | 0.979598i | \(-0.435592\pi\) | |||||||
\(434\) | −20.1781 | + | 3.16909i | −0.968581 | + | 0.152121i | ||||
\(435\) | −6.47854 | + | 1.43793i | −0.310622 | + | 0.0689433i | ||||
\(436\) | −0.131905 | −0.00631710 | ||||||||
\(437\) | 0.598956 | 0.0286519 | ||||||||
\(438\) | 1.45774 | + | 6.56781i | 0.0696535 | + | 0.313822i | ||||
\(439\) | − | 29.4214i | − | 1.40421i | −0.712075 | − | 0.702104i | \(-0.752244\pi\) | ||
0.712075 | − | 0.702104i | \(-0.247756\pi\) | |||||||
\(440\) | −1.60431 | −0.0764826 | ||||||||
\(441\) | −15.3885 | + | 14.2897i | −0.732785 | + | 0.680460i | ||||
\(442\) | −34.2580 | −1.62949 | ||||||||
\(443\) | − | 41.1411i | − | 1.95467i | −0.211692 | − | 0.977336i | \(-0.567897\pi\) | ||
0.211692 | − | 0.977336i | \(-0.432103\pi\) | |||||||
\(444\) | 0.566700 | + | 2.55325i | 0.0268944 | + | 0.121172i | ||||
\(445\) | −1.58183 | −0.0749859 | ||||||||
\(446\) | 13.9302 | 0.659616 | ||||||||
\(447\) | −32.9406 | + | 7.31125i | −1.55804 | + | 0.345810i | ||||
\(448\) | 2.61371 | − | 0.410499i | 0.123486 | − | 0.0193943i | ||||
\(449\) | 37.3241i | 1.76143i | 0.473643 | + | 0.880717i | \(0.342939\pi\) | ||||
−0.473643 | + | 0.880717i | \(0.657061\pi\) | |||||||
\(450\) | 6.01136 | + | 12.8749i | 0.283378 | + | 0.606928i | ||||
\(451\) | − | 3.75016i | − | 0.176588i | ||||||
\(452\) | 2.89434i | 0.136138i | ||||||||
\(453\) | −6.59739 | − | 29.7244i | −0.309972 | − | 1.39657i | ||||
\(454\) | − | 20.1970i | − | 0.947891i | ||||||
\(455\) | 1.25252 | + | 7.97498i | 0.0587190 | + | 0.373873i | ||||
\(456\) | 0.224788 | + | 1.01278i | 0.0105267 | + | 0.0474276i | ||||
\(457\) | −18.9154 | −0.884827 | −0.442414 | − | 0.896811i | \(-0.645878\pi\) | ||||
−0.442414 | + | 0.896811i | \(0.645878\pi\) | |||||||
\(458\) | 5.07556 | 0.237165 | ||||||||
\(459\) | 18.2529 | + | 23.7513i | 0.851970 | + | 1.10862i | ||||
\(460\) | 0.513446i | 0.0239395i | ||||||||
\(461\) | 41.5200 | 1.93378 | 0.966890 | − | 0.255193i | \(-0.0821390\pi\) | ||||
0.966890 | + | 0.255193i | \(0.0821390\pi\) | |||||||
\(462\) | −5.23383 | − | 13.3279i | −0.243500 | − | 0.620070i | ||||
\(463\) | −25.5118 | −1.18563 | −0.592817 | − | 0.805337i | \(-0.701984\pi\) | ||||
−0.592817 | + | 0.805337i | \(0.701984\pi\) | |||||||
\(464\) | 7.46215i | 0.346422i | ||||||||
\(465\) | 6.70249 | − | 1.48763i | 0.310820 | − | 0.0689873i | ||||
\(466\) | −16.3692 | −0.758290 | ||||||||
\(467\) | −5.49956 | −0.254489 | −0.127245 | − | 0.991871i | \(-0.540613\pi\) | ||||
−0.127245 | + | 0.991871i | \(0.540613\pi\) | |||||||
\(468\) | −7.54230 | − | 16.1538i | −0.348643 | − | 0.746710i | ||||
\(469\) | 16.2841 | − | 2.55752i | 0.751930 | − | 0.118095i | ||||
\(470\) | − | 3.22018i | − | 0.148536i | ||||||
\(471\) | −34.1262 | + | 7.57439i | −1.57245 | + | 0.349010i | ||||
\(472\) | 11.2251i | 0.516677i | ||||||||
\(473\) | − | 16.2677i | − | 0.747991i | ||||||
\(474\) | 21.9768 | − | 4.87781i | 1.00943 | − | 0.224045i | ||||
\(475\) | − | 2.83688i | − | 0.130165i | ||||||
\(476\) | −15.0676 | + | 2.36645i | −0.690620 | + | 0.108466i | ||||
\(477\) | −14.5717 | − | 31.2091i | −0.667192 | − | 1.42896i | ||||
\(478\) | 17.3203 | 0.792212 | ||||||||
\(479\) | −34.8057 | −1.59031 | −0.795156 | − | 0.606406i | \(-0.792611\pi\) | ||||
−0.795156 | + | 0.606406i | \(0.792611\pi\) | |||||||
\(480\) | −0.868187 | + | 0.192696i | −0.0396271 | + | 0.00879533i | ||||
\(481\) | 8.97330i | 0.409147i | ||||||||
\(482\) | −1.31010 | −0.0596734 | ||||||||
\(483\) | −4.26547 | + | 1.67504i | −0.194086 | + | 0.0762169i | ||||
\(484\) | −1.23687 | −0.0562213 | ||||||||
\(485\) | − | 2.54823i | − | 0.115709i | ||||||
\(486\) | −7.18097 | + | 13.8360i | −0.325735 | + | 0.627612i | ||||
\(487\) | 16.0666 | 0.728048 | 0.364024 | − | 0.931390i | \(-0.381403\pi\) | ||||
0.364024 | + | 0.931390i | \(0.381403\pi\) | |||||||
\(488\) | 0.414953 | 0.0187841 | ||||||||
\(489\) | −4.53990 | − | 20.4544i | −0.205302 | − | 0.924981i | ||||
\(490\) | 1.10178 | + | 3.42108i | 0.0497733 | + | 0.154549i | ||||
\(491\) | 0.917569i | 0.0414093i | 0.999786 | + | 0.0207047i | \(0.00659097\pi\) | ||||
−0.999786 | + | 0.0207047i | \(0.993409\pi\) | |||||||
\(492\) | −0.450437 | − | 2.02943i | −0.0203073 | − | 0.0914938i | ||||
\(493\) | − | 43.0179i | − | 1.93743i | ||||||
\(494\) | 3.55936i | 0.160143i | ||||||||
\(495\) | 2.03618 | + | 4.36101i | 0.0915194 | + | 0.196013i | ||||
\(496\) | − | 7.72010i | − | 0.346643i | ||||||
\(497\) | −2.02120 | − | 12.8693i | −0.0906634 | − | 0.577268i | ||||
\(498\) | −19.5851 | + | 4.34696i | −0.877629 | + | 0.194792i | ||||
\(499\) | 23.2826 | 1.04227 | 0.521137 | − | 0.853473i | \(-0.325508\pi\) | ||||
0.521137 | + | 0.853473i | \(0.325508\pi\) | |||||||
\(500\) | 4.99910 | 0.223567 | ||||||||
\(501\) | −3.71743 | − | 16.7488i | −0.166082 | − | 0.748280i | ||||
\(502\) | − | 13.5742i | − | 0.605845i | ||||||
\(503\) | 27.6132 | 1.23121 | 0.615605 | − | 0.788055i | \(-0.288912\pi\) | ||||
0.615605 | + | 0.788055i | \(0.288912\pi\) | |||||||
\(504\) | −4.43316 | − | 6.58385i | −0.197469 | − | 0.293268i | ||||
\(505\) | 5.94432 | 0.264519 | ||||||||
\(506\) | − | 3.12460i | − | 0.138905i | ||||||
\(507\) | −8.37467 | − | 37.7318i | −0.371932 | − | 1.67573i | ||||
\(508\) | −2.86544 | −0.127133 | ||||||||
\(509\) | 0.853514 | 0.0378314 | 0.0189157 | − | 0.999821i | \(-0.493979\pi\) | ||||
0.0189157 | + | 0.999821i | \(0.493979\pi\) | |||||||
\(510\) | 5.00493 | − | 1.11086i | 0.221622 | − | 0.0491895i | ||||
\(511\) | 1.59446 | + | 10.1522i | 0.0705349 | + | 0.449107i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 2.46773 | − | 1.89645i | 0.108953 | − | 0.0837301i | ||||
\(514\) | 7.53285i | 0.332260i | ||||||||
\(515\) | − | 4.97104i | − | 0.219050i | ||||||
\(516\) | −1.95394 | − | 8.80341i | −0.0860173 | − | 0.387549i | ||||
\(517\) | 19.5966i | 0.861855i | ||||||||
\(518\) | 0.619851 | + | 3.94669i | 0.0272347 | + | 0.173407i | ||||
\(519\) | −5.81185 | − | 26.1851i | −0.255112 | − | 1.14940i | ||||
\(520\) | −3.05121 | −0.133804 | ||||||||
\(521\) | 23.9342 | 1.04857 | 0.524287 | − | 0.851541i | \(-0.324332\pi\) | ||||
0.524287 | + | 0.851541i | \(0.324332\pi\) | |||||||
\(522\) | 20.2844 | − | 9.47089i | 0.887823 | − | 0.414530i | ||||
\(523\) | − | 0.0538713i | − | 0.00235563i | −0.999999 | − | 0.00117781i | \(-0.999625\pi\) | ||
0.999999 | − | 0.00117781i | \(-0.000374910\pi\) | |||||||
\(524\) | −6.14864 | −0.268605 | ||||||||
\(525\) | 7.93361 | + | 20.2029i | 0.346251 | + | 0.881725i | ||||
\(526\) | 11.0572 | 0.482118 | ||||||||
\(527\) | 44.5049i | 1.93866i | ||||||||
\(528\) | 5.28339 | − | 1.17266i | 0.229930 | − | 0.0510335i | ||||
\(529\) | −1.00000 | −0.0434783 | ||||||||
\(530\) | −5.89492 | −0.256059 | ||||||||
\(531\) | 30.5132 | − | 14.2468i | 1.32416 | − | 0.618258i | ||||
\(532\) | 0.245871 | + | 1.56550i | 0.0106599 | + | 0.0678729i | ||||
\(533\) | − | 7.13236i | − | 0.308937i | ||||||
\(534\) | 5.20935 | − | 1.15623i | 0.225431 | − | 0.0500349i | ||||
\(535\) | − | 4.57423i | − | 0.197761i | ||||||
\(536\) | 6.23026i | 0.269106i | ||||||||
\(537\) | 2.36450 | − | 0.524807i | 0.102036 | − | 0.0226471i | ||||
\(538\) | 23.5386i | 1.01482i | ||||||||
\(539\) | −6.70493 | − | 20.8192i | −0.288802 | − | 0.896745i | ||||
\(540\) | 1.62570 | + | 2.11542i | 0.0699590 | + | 0.0910334i | ||||
\(541\) | 29.4600 | 1.26658 | 0.633291 | − | 0.773914i | \(-0.281704\pi\) | ||||
0.633291 | + | 0.773914i | \(0.281704\pi\) | |||||||
\(542\) | 31.8184 | 1.36672 | ||||||||
\(543\) | −14.7479 | + | 3.27334i | −0.632895 | + | 0.140472i | ||||
\(544\) | − | 5.76481i | − | 0.247164i | ||||||
\(545\) | 0.0677260 | 0.00290106 | ||||||||
\(546\) | −9.95410 | − | 25.3480i | −0.425996 | − | 1.08480i | ||||
\(547\) | −0.939855 | −0.0401853 | −0.0200926 | − | 0.999798i | \(-0.506396\pi\) | ||||
−0.0200926 | + | 0.999798i | \(0.506396\pi\) | |||||||
\(548\) | 5.99665i | 0.256164i | ||||||||
\(549\) | −0.526655 | − | 1.12797i | −0.0224771 | − | 0.0481405i | ||||
\(550\) | −14.7993 | −0.631043 | ||||||||
\(551\) | −4.46950 | −0.190407 | ||||||||
\(552\) | −0.375300 | − | 1.69090i | −0.0159738 | − | 0.0719696i | ||||
\(553\) | 33.9707 | − | 5.33530i | 1.44458 | − | 0.226880i | ||||
\(554\) | − | 19.4731i | − | 0.827333i | ||||||
\(555\) | −0.290970 | − | 1.31096i | −0.0123510 | − | 0.0556470i | ||||
\(556\) | 11.1572i | 0.473170i | ||||||||
\(557\) | − | 2.58809i | − | 0.109661i | −0.998496 | − | 0.0548305i | \(-0.982538\pi\) | ||
0.998496 | − | 0.0548305i | \(-0.0174619\pi\) | |||||||
\(558\) | −20.9856 | + | 9.79828i | −0.888389 | + | 0.414794i | ||||
\(559\) | − | 30.9393i | − | 1.30859i | ||||||
\(560\) | −1.34200 | + | 0.210769i | −0.0567098 | + | 0.00890662i | ||||
\(561\) | −30.4578 | + | 6.76017i | −1.28593 | + | 0.285415i | ||||
\(562\) | −30.0501 | −1.26759 | ||||||||
\(563\) | −14.1978 | −0.598366 | −0.299183 | − | 0.954196i | \(-0.596714\pi\) | ||||
−0.299183 | + | 0.954196i | \(0.596714\pi\) | |||||||
\(564\) | 2.35377 | + | 10.6048i | 0.0991114 | + | 0.446544i | ||||
\(565\) | − | 1.48609i | − | 0.0625202i | ||||||
\(566\) | −13.1776 | −0.553894 | ||||||||
\(567\) | −12.2704 | + | 20.4068i | −0.515307 | + | 0.857006i | ||||
\(568\) | 4.92377 | 0.206597 | ||||||||
\(569\) | 33.1988i | 1.39177i | 0.718155 | + | 0.695883i | \(0.244987\pi\) | ||||
−0.718155 | + | 0.695883i | \(0.755013\pi\) | |||||||
\(570\) | −0.115416 | − | 0.520005i | −0.00483426 | − | 0.0217806i | ||||
\(571\) | 40.4709 | 1.69366 | 0.846828 | − | 0.531867i | \(-0.178510\pi\) | ||||
0.846828 | + | 0.531867i | \(0.178510\pi\) | |||||||
\(572\) | 18.5683 | 0.776379 | ||||||||
\(573\) | −4.28383 | + | 0.950805i | −0.178959 | + | 0.0397205i | ||||
\(574\) | −0.492683 | − | 3.13699i | −0.0205642 | − | 0.130936i | ||||
\(575\) | 4.73637i | 0.197520i | ||||||||
\(576\) | 2.71830 | − | 1.26919i | 0.113263 | − | 0.0528829i | ||||
\(577\) | 9.49368i | 0.395227i | 0.980280 | + | 0.197614i | \(0.0633191\pi\) | ||||
−0.980280 | + | 0.197614i | \(0.936681\pi\) | |||||||
\(578\) | 16.2330i | 0.675206i | ||||||||
\(579\) | −7.67279 | − | 34.5695i | −0.318870 | − | 1.43666i | ||||
\(580\) | − | 3.83141i | − | 0.159091i | ||||||
\(581\) | −30.2737 | + | 4.75466i | −1.25596 | + | 0.197257i | ||||
\(582\) | 1.86261 | + | 8.39193i | 0.0772076 | + | 0.347857i | ||||
\(583\) | 35.8738 | 1.48574 | ||||||||
\(584\) | −3.88420 | −0.160730 | ||||||||
\(585\) | 3.87256 | + | 8.29410i | 0.160111 | + | 0.342919i | ||||
\(586\) | − | 22.0715i | − | 0.911765i | ||||||
\(587\) | 13.6279 | 0.562484 | 0.281242 | − | 0.959637i | \(-0.409254\pi\) | ||||
0.281242 | + | 0.959637i | \(0.409254\pi\) | |||||||
\(588\) | −6.12904 | − | 10.4611i | −0.252757 | − | 0.431409i | ||||
\(589\) | 4.62400 | 0.190529 | ||||||||
\(590\) | − | 5.76348i | − | 0.237279i | ||||||
\(591\) | 20.5249 | − | 4.55556i | 0.844284 | − | 0.187391i | ||||
\(592\) | −1.50999 | −0.0620603 | ||||||||
\(593\) | −29.6556 | −1.21781 | −0.608905 | − | 0.793243i | \(-0.708391\pi\) | ||||
−0.608905 | + | 0.793243i | \(0.708391\pi\) | |||||||
\(594\) | −9.89328 | − | 12.8735i | −0.405926 | − | 0.528207i | ||||
\(595\) | 7.73637 | − | 1.21504i | 0.317160 | − | 0.0498119i | ||||
\(596\) | − | 19.4811i | − | 0.797977i | ||||||
\(597\) | −9.29410 | + | 2.06285i | −0.380382 | + | 0.0844267i | ||||
\(598\) | − | 5.94261i | − | 0.243011i | ||||||
\(599\) | − | 26.8065i | − | 1.09528i | −0.836713 | − | 0.547641i | \(-0.815526\pi\) | ||
0.836713 | − | 0.547641i | \(-0.184474\pi\) | |||||||
\(600\) | −8.00874 | + | 1.77756i | −0.326956 | + | 0.0725686i | ||||
\(601\) | 22.5267i | 0.918883i | 0.888208 | + | 0.459442i | \(0.151950\pi\) | ||||
−0.888208 | + | 0.459442i | \(0.848050\pi\) | |||||||
\(602\) | −2.13720 | − | 13.6079i | −0.0871057 | − | 0.554616i | ||||
\(603\) | 16.9357 | − | 7.90738i | 0.689676 | − | 0.322014i | ||||
\(604\) | 17.5790 | 0.715279 | ||||||||
\(605\) | 0.635065 | 0.0258191 | ||||||||
\(606\) | −19.5761 | + | 4.34496i | −0.795225 | + | 0.176502i | ||||
\(607\) | 12.1355i | 0.492565i | 0.969198 | + | 0.246282i | \(0.0792091\pi\) | ||||
−0.969198 | + | 0.246282i | \(0.920791\pi\) | |||||||
\(608\) | −0.598956 | −0.0242909 | ||||||||
\(609\) | 31.8296 | − | 12.4994i | 1.28980 | − | 0.506501i | ||||
\(610\) | −0.213056 | −0.00862639 | ||||||||
\(611\) | 37.2703i | 1.50779i | ||||||||
\(612\) | −15.6705 | + | 7.31664i | −0.633442 | + | 0.295758i | ||||
\(613\) | −25.0619 | −1.01224 | −0.506120 | − | 0.862463i | \(-0.668921\pi\) | ||||
−0.506120 | + | 0.862463i | \(0.668921\pi\) | |||||||
\(614\) | 12.0164 | 0.484944 | ||||||||
\(615\) | 0.231275 | + | 1.04200i | 0.00932590 | + | 0.0420176i | ||||
\(616\) | 8.16681 | − | 1.28265i | 0.329050 | − | 0.0516793i | ||||
\(617\) | − | 26.2335i | − | 1.05612i | −0.849207 | − | 0.528061i | \(-0.822919\pi\) | ||
0.849207 | − | 0.528061i | \(-0.177081\pi\) | |||||||
\(618\) | 3.63355 | + | 16.3709i | 0.146163 | + | 0.658533i | ||||
\(619\) | − | 45.7540i | − | 1.83901i | −0.393082 | − | 0.919503i | \(-0.628591\pi\) | ||
0.393082 | − | 0.919503i | \(-0.371409\pi\) | |||||||
\(620\) | 3.96385i | 0.159192i | ||||||||
\(621\) | −4.12005 | + | 3.16625i | −0.165332 | + | 0.127057i | ||||
\(622\) | 1.75546i | 0.0703877i | ||||||||
\(623\) | 8.05235 | − | 1.26467i | 0.322611 | − | 0.0506679i | ||||
\(624\) | 10.0484 | − | 2.23026i | 0.402257 | − | 0.0892818i | ||||
\(625\) | 21.1151 | 0.844604 | ||||||||
\(626\) | 11.1277 | 0.444753 | ||||||||
\(627\) | 0.702372 | + | 3.16452i | 0.0280501 | + | 0.126379i | ||||
\(628\) | − | 20.1823i | − | 0.805359i | ||||||
\(629\) | 8.70482 | 0.347084 | ||||||||
\(630\) | 2.27619 | + | 3.38045i | 0.0906854 | + | 0.134680i | ||||
\(631\) | −4.90036 | −0.195080 | −0.0975402 | − | 0.995232i | \(-0.531097\pi\) | ||||
−0.0975402 | + | 0.995232i | \(0.531097\pi\) | |||||||
\(632\) | 12.9971i | 0.516997i | ||||||||
\(633\) | 7.70050 | + | 34.6944i | 0.306068 | + | 1.37898i | ||||
\(634\) | 28.4300 | 1.12910 | ||||||||
\(635\) | 1.47125 | 0.0583848 | ||||||||
\(636\) | 19.4134 | − | 4.30885i | 0.769792 | − | 0.170857i | ||||
\(637\) | −12.7520 | − | 39.5955i | −0.505251 | − | 1.56883i | ||||
\(638\) | 23.3162i | 0.923099i | ||||||||
\(639\) | −6.24920 | − | 13.3843i | −0.247215 | − | 0.529474i | ||||
\(640\) | − | 0.513446i | − | 0.0202957i | ||||||
\(641\) | − | 31.1335i | − | 1.22970i | −0.788645 | − | 0.614849i | \(-0.789217\pi\) | ||
0.788645 | − | 0.614849i | \(-0.210783\pi\) | |||||||
\(642\) | 3.34350 | + | 15.0641i | 0.131958 | + | 0.594531i | ||||
\(643\) | 5.88939i | 0.232255i | 0.993234 | + | 0.116127i | \(0.0370481\pi\) | ||||
−0.993234 | + | 0.116127i | \(0.962952\pi\) | |||||||
\(644\) | −0.410499 | − | 2.61371i | −0.0161759 | − | 0.102995i | ||||
\(645\) | 1.00324 | + | 4.52008i | 0.0395026 | + | 0.177978i | ||||
\(646\) | 3.45287 | 0.135851 | ||||||||
\(647\) | −2.41417 | −0.0949109 | −0.0474554 | − | 0.998873i | \(-0.515111\pi\) | ||||
−0.0474554 | + | 0.998873i | \(0.515111\pi\) | |||||||
\(648\) | −6.90008 | − | 5.77831i | −0.271061 | − | 0.226994i | ||||
\(649\) | 35.0740i | 1.37677i | ||||||||
\(650\) | −28.1464 | −1.10399 | ||||||||
\(651\) | −32.9299 | + | 12.9315i | −1.29062 | + | 0.506824i | ||||
\(652\) | 12.0967 | 0.473745 | ||||||||
\(653\) | − | 8.82490i | − | 0.345345i | −0.984979 | − | 0.172673i | \(-0.944760\pi\) | ||
0.984979 | − | 0.172673i | \(-0.0552403\pi\) | |||||||
\(654\) | −0.223038 | + | 0.0495039i | −0.00872149 | + | 0.00193575i | ||||
\(655\) | 3.15699 | 0.123354 | ||||||||
\(656\) | 1.20021 | 0.0468602 | ||||||||
\(657\) | 4.92979 | + | 10.5584i | 0.192330 | + | 0.411924i | ||||
\(658\) | 2.57453 | + | 16.3924i | 0.100365 | + | 0.639043i | ||||
\(659\) | − | 10.9303i | − | 0.425785i | −0.977076 | − | 0.212893i | \(-0.931712\pi\) | ||
0.977076 | − | 0.212893i | \(-0.0682884\pi\) | |||||||
\(660\) | −2.71274 | + | 0.602098i | −0.105593 | + | 0.0234366i | ||||
\(661\) | − | 1.21755i | − | 0.0473572i | −0.999720 | − | 0.0236786i | \(-0.992462\pi\) | ||
0.999720 | − | 0.0236786i | \(-0.00753784\pi\) | |||||||
\(662\) | 13.9077i | 0.540539i | ||||||||
\(663\) | −57.9270 | + | 12.8570i | −2.24970 | + | 0.499325i | ||||
\(664\) | − | 11.5826i | − | 0.449493i | ||||||
\(665\) | −0.126241 | − | 0.803798i | −0.00489543 | − | 0.0311700i | ||||
\(666\) | 1.91647 | + | 4.10461i | 0.0742616 | + | 0.159051i | ||||
\(667\) | 7.46215 | 0.288936 | ||||||||
\(668\) | 9.90523 | 0.383245 | ||||||||
\(669\) | 23.5547 | − | 5.22801i | 0.910676 | − | 0.202127i | ||||
\(670\) | − | 3.19890i | − | 0.123584i | ||||||
\(671\) | 1.29656 | 0.0500533 | ||||||||
\(672\) | 4.26547 | − | 1.67504i | 0.164544 | − | 0.0646160i | ||||
\(673\) | −0.236971 | −0.00913456 | −0.00456728 | − | 0.999990i | \(-0.501454\pi\) | ||||
−0.00456728 | + | 0.999990i | \(0.501454\pi\) | |||||||
\(674\) | 21.1199i | 0.813509i | ||||||||
\(675\) | 14.9966 | + | 19.5141i | 0.577218 | + | 0.751098i | ||||
\(676\) | 22.3146 | 0.858255 | ||||||||
\(677\) | −49.8520 | −1.91597 | −0.957985 | − | 0.286819i | \(-0.907402\pi\) | ||||
−0.957985 | + | 0.286819i | \(0.907402\pi\) | |||||||
\(678\) | 1.08625 | + | 4.89405i | 0.0417170 | + | 0.187955i | ||||
\(679\) | 2.03730 | + | 12.9718i | 0.0781845 | + | 0.497813i | ||||
\(680\) | 2.95992i | 0.113508i | ||||||||
\(681\) | −7.57992 | − | 34.1511i | −0.290463 | − | 1.30867i | ||||
\(682\) | − | 24.1222i | − | 0.923688i | ||||||
\(683\) | − | 17.3214i | − | 0.662784i | −0.943493 | − | 0.331392i | \(-0.892482\pi\) | ||
0.943493 | − | 0.331392i | \(-0.107518\pi\) | |||||||
\(684\) | 0.760189 | + | 1.62814i | 0.0290665 | + | 0.0622536i | ||||
\(685\) | − | 3.07896i | − | 0.117641i | ||||||
\(686\) | −8.34379 | − | 16.5342i | −0.318567 | − | 0.631280i | ||||
\(687\) | 8.58227 | − | 1.90485i | 0.327434 | − | 0.0726747i | ||||
\(688\) | 5.20634 | 0.198490 | ||||||||
\(689\) | 68.2277 | 2.59927 | ||||||||
\(690\) | 0.192696 | + | 0.868187i | 0.00733581 | + | 0.0330513i | ||||
\(691\) | 10.6840i | 0.406438i | 0.979133 | + | 0.203219i | \(0.0651403\pi\) | ||||
−0.979133 | + | 0.203219i | \(0.934860\pi\) | |||||||
\(692\) | 15.4859 | 0.588686 | ||||||||
\(693\) | −13.8518 | − | 20.5719i | −0.526188 | − | 0.781462i | ||||
\(694\) | −19.1370 | −0.726431 | ||||||||
\(695\) | − | 5.72861i | − | 0.217299i | ||||||
\(696\) | 2.80054 | + | 12.6178i | 0.106154 | + | 0.478275i | ||||
\(697\) | −6.91896 | −0.262074 | ||||||||
\(698\) | 14.1011 | 0.533735 | ||||||||
\(699\) | −27.6788 | + | 6.14337i | −1.04691 | + | 0.232363i | ||||
\(700\) | −12.3795 | + | 1.94428i | −0.467902 | + | 0.0734868i | ||||
\(701\) | 34.4386i | 1.30073i | 0.759622 | + | 0.650365i | \(0.225384\pi\) | ||||
−0.759622 | + | 0.650365i | \(0.774616\pi\) | |||||||
\(702\) | −18.8158 | − | 24.4839i | −0.710157 | − | 0.924084i | ||||
\(703\) | − | 0.904419i | − | 0.0341108i | ||||||
\(704\) | 3.12460i | 0.117763i | ||||||||
\(705\) | −1.20853 | − | 5.44500i | −0.0455159 | − | 0.205071i | ||||
\(706\) | 18.6428i | 0.701630i | ||||||||
\(707\) | −30.2598 | + | 4.75248i | −1.13804 | + | 0.178735i | ||||
\(708\) | 4.21278 | + | 18.9805i | 0.158326 | + | 0.713333i | ||||
\(709\) | 13.2555 | 0.497820 | 0.248910 | − | 0.968527i | \(-0.419928\pi\) | ||||
0.248910 | + | 0.968527i | \(0.419928\pi\) | |||||||
\(710\) | −2.52809 | −0.0948775 | ||||||||
\(711\) | 35.3300 | − | 16.4958i | 1.32498 | − | 0.618641i | ||||
\(712\) | 3.08081i | 0.115458i | ||||||||
\(713\) | −7.72010 | −0.289120 | ||||||||
\(714\) | −24.5896 | + | 9.65628i | −0.920244 | + | 0.361377i | ||||
\(715\) | −9.53381 | −0.356544 | ||||||||
\(716\) | 1.39837i | 0.0522594i | ||||||||
\(717\) | 29.2869 | − | 6.50030i | 1.09374 | − | 0.242758i | ||||
\(718\) | −31.3788 | −1.17105 | ||||||||
\(719\) | −42.5915 | −1.58839 | −0.794197 | − | 0.607661i | \(-0.792108\pi\) | ||||
−0.794197 | + | 0.607661i | \(0.792108\pi\) | |||||||
\(720\) | −1.39570 | + | 0.651660i | −0.0520147 | + | 0.0242859i | ||||
\(721\) | 3.97434 | + | 25.3053i | 0.148012 | + | 0.942417i | ||||
\(722\) | 18.6413i | 0.693756i | ||||||||
\(723\) | −2.21525 | + | 0.491680i | −0.0823861 | + | 0.0182858i | ||||
\(724\) | − | 8.72194i | − | 0.324148i | ||||||
\(725\) | − | 35.3435i | − | 1.31263i | ||||||
\(726\) | −2.09142 | + | 0.464196i | −0.0776200 | + | 0.0172279i | ||||
\(727\) | 15.2086i | 0.564054i | 0.959406 | + | 0.282027i | \(0.0910068\pi\) | ||||
−0.959406 | + | 0.282027i | \(0.908993\pi\) | |||||||
\(728\) | 15.5323 | − | 2.43944i | 0.575664 | − | 0.0904115i | ||||
\(729\) | −6.94968 | + | 26.0903i | −0.257396 | + | 0.966306i | ||||
\(730\) | 1.99433 | 0.0738134 | ||||||||
\(731\) | −30.0136 | −1.11009 | ||||||||
\(732\) | 0.701645 | − | 0.155732i | 0.0259336 | − | 0.00575601i | ||||
\(733\) | 40.0252i | 1.47836i | 0.673506 | + | 0.739182i | \(0.264788\pi\) | ||||
−0.673506 | + | 0.739182i | \(0.735212\pi\) | |||||||
\(734\) | −37.8630 | −1.39755 | ||||||||
\(735\) | 3.14693 | + | 5.37121i | 0.116076 | + | 0.198120i | ||||
\(736\) | 1.00000 | 0.0368605 | ||||||||
\(737\) | 19.4671i | 0.717079i | ||||||||
\(738\) | −1.52329 | − | 3.26252i | −0.0560730 | − | 0.120095i | ||||
\(739\) | −40.8452 | −1.50252 | −0.751258 | − | 0.660008i | \(-0.770553\pi\) | ||||
−0.751258 | + | 0.660008i | \(0.770553\pi\) | |||||||
\(740\) | 0.775300 | 0.0285006 | ||||||||
\(741\) | 1.33583 | + | 6.01853i | 0.0490728 | + | 0.221096i | ||||
\(742\) | 30.0083 | − | 4.71298i | 1.10164 | − | 0.173019i | ||||
\(743\) | − | 0.856157i | − | 0.0314094i | −0.999877 | − | 0.0157047i | \(-0.995001\pi\) | ||
0.999877 | − | 0.0157047i | \(-0.00499916\pi\) | |||||||
\(744\) | −2.89735 | − | 13.0539i | −0.106222 | − | 0.478581i | ||||
\(745\) | 10.0025i | 0.366463i | ||||||||
\(746\) | 29.9205i | 1.09547i | ||||||||
\(747\) | −31.4851 | + | 14.7006i | −1.15198 | + | 0.537866i | ||||
\(748\) | − | 18.0127i | − | 0.658611i | ||||||
\(749\) | 3.65709 | + | 23.2853i | 0.133627 | + | 0.850826i | ||||
\(750\) | 8.45299 | − | 1.87616i | 0.308660 | − | 0.0685077i | ||||
\(751\) | 2.12709 | 0.0776186 | 0.0388093 | − | 0.999247i | \(-0.487644\pi\) | ||||
0.0388093 | + | 0.999247i | \(0.487644\pi\) | |||||||
\(752\) | −6.27170 | −0.228705 | ||||||||
\(753\) | −5.09438 | − | 22.9526i | −0.185650 | − | 0.836439i | ||||
\(754\) | 44.3447i | 1.61494i | ||||||||
\(755\) | −9.02586 | −0.328485 | ||||||||
\(756\) | −9.96695 | − | 9.46889i | −0.362495 | − | 0.344380i | ||||
\(757\) | 21.5544 | 0.783408 | 0.391704 | − | 0.920091i | \(-0.371886\pi\) | ||||
0.391704 | + | 0.920091i | \(0.371886\pi\) | |||||||
\(758\) | 4.96883i | 0.180476i | ||||||||
\(759\) | −1.17266 | − | 5.28339i | −0.0425649 | − | 0.191775i | ||||
\(760\) | 0.307531 | 0.0111553 | ||||||||
\(761\) | 31.0013 | 1.12380 | 0.561898 | − | 0.827206i | \(-0.310071\pi\) | ||||
0.561898 | + | 0.827206i | \(0.310071\pi\) | |||||||
\(762\) | −4.84518 | + | 1.07540i | −0.175522 | + | 0.0389576i | ||||
\(763\) | −0.344762 | + | 0.0541469i | −0.0124812 | + | 0.00196025i | ||||
\(764\) | − | 2.53346i | − | 0.0916572i | ||||||
\(765\) | 8.04595 | − | 3.75670i | 0.290902 | − | 0.135824i | ||||
\(766\) | 8.23658i | 0.297600i | ||||||||
\(767\) | 66.7064i | 2.40863i | ||||||||
\(768\) | 0.375300 | + | 1.69090i | 0.0135425 | + | 0.0610152i | ||||
\(769\) | − | 29.8396i | − | 1.07604i | −0.842931 | − | 0.538021i | \(-0.819172\pi\) | ||
0.842931 | − | 0.538021i | \(-0.180828\pi\) | |||||||
\(770\) | −4.19321 | + | 0.658569i | −0.151113 | + | 0.0237332i | ||||
\(771\) | 2.82708 | + | 12.7373i | 0.101815 | + | 0.458723i | ||||
\(772\) | 20.4444 | 0.735811 | ||||||||
\(773\) | −42.9528 | −1.54490 | −0.772452 | − | 0.635073i | \(-0.780970\pi\) | ||||
−0.772452 | + | 0.635073i | \(0.780970\pi\) | |||||||
\(774\) | −6.60784 | − | 14.1524i | −0.237514 | − | 0.508697i | ||||
\(775\) | 36.5653i | 1.31346i | ||||||||
\(776\) | −4.96299 | −0.178161 | ||||||||
\(777\) | 2.52930 | + | 6.44083i | 0.0907380 | + | 0.231064i | ||||
\(778\) | 4.16289 | 0.149247 | ||||||||
\(779\) | 0.718870i | 0.0257562i | ||||||||
\(780\) | −5.15930 | + | 1.14512i | −0.184732 | + | 0.0410018i | ||||
\(781\) | 15.3848 | 0.550512 | ||||||||
\(782\) | −5.76481 | −0.206149 | ||||||||
\(783\) | 30.7445 | − | 23.6271i | 1.09872 | − | 0.844362i | ||||
\(784\) | 6.66298 | − | 2.14585i | 0.237964 | − | 0.0766376i | ||||
\(785\) | 10.3625i | 0.369853i | ||||||||
\(786\) | −10.3967 | + | 2.30758i | −0.370840 | + | 0.0823087i | ||||
\(787\) | 1.68231i | 0.0599678i | 0.999550 | + | 0.0299839i | \(0.00954560\pi\) | ||||
−0.999550 | + | 0.0299839i | \(0.990454\pi\) | |||||||
\(788\) | 12.1385i | 0.432415i | ||||||||
\(789\) | 18.6967 | − | 4.14977i | 0.665620 | − | 0.147736i | ||||
\(790\) | − | 6.67331i | − | 0.237426i | ||||||
\(791\) | 1.18812 | + | 7.56497i | 0.0422448 | + | 0.268980i | ||||
\(792\) | 8.49360 | − | 3.96571i | 0.301807 | − | 0.140915i | ||||
\(793\) | 2.46591 | 0.0875669 | ||||||||
\(794\) | 22.7412 | 0.807056 | ||||||||
\(795\) | −9.96773 | + | 2.21236i | −0.353519 | + | 0.0784644i | ||||
\(796\) | − | 5.49653i | − | 0.194819i | ||||||
\(797\) | −44.4870 | −1.57581 | −0.787905 | − | 0.615796i | \(-0.788834\pi\) | ||||
−0.787905 | + | 0.615796i | \(0.788834\pi\) | |||||||
\(798\) | 1.00327 | + | 2.55483i | 0.0355155 | + | 0.0904400i | ||||
\(799\) | 36.1551 | 1.27908 | ||||||||
\(800\) | − | 4.73637i | − | 0.167456i | ||||||
\(801\) | 8.37457 | − | 3.91014i | 0.295901 | − | 0.138158i | ||||
\(802\) | 3.51834 | 0.124237 | ||||||||
\(803\) | −12.1366 | −0.428291 | ||||||||
\(804\) | 2.33821 | + | 10.5348i | 0.0824625 | + | 0.371532i | ||||
\(805\) | 0.210769 | + | 1.34200i | 0.00742863 | + | 0.0472993i | ||||
\(806\) | − | 45.8776i | − | 1.61597i | ||||||
\(807\) | 8.83403 | + | 39.8015i | 0.310973 | + | 1.40108i | ||||
\(808\) | − | 11.5773i | − | 0.407288i | ||||||
\(809\) | − | 13.4852i | − | 0.474116i | −0.971495 | − | 0.237058i | \(-0.923817\pi\) | ||
0.971495 | − | 0.237058i | \(-0.0761831\pi\) | |||||||
\(810\) | 3.54282 | + | 2.96685i | 0.124482 | + | 0.104245i | ||||
\(811\) | − | 4.32003i | − | 0.151697i | −0.997119 | − | 0.0758484i | \(-0.975833\pi\) | ||
0.997119 | − | 0.0758484i | \(-0.0241665\pi\) | |||||||
\(812\) | 3.06321 | + | 19.5039i | 0.107497 | + | 0.684453i | ||||
\(813\) | 53.8018 | − | 11.9414i | 1.88691 | − | 0.418804i | ||||
\(814\) | −4.71813 | −0.165370 | ||||||||
\(815\) | −6.21102 | −0.217563 | ||||||||
\(816\) | −2.16353 | − | 9.74773i | −0.0757387 | − | 0.341239i | ||||
\(817\) | 3.11837i | 0.109098i | ||||||||
\(818\) | −18.0529 | −0.631205 | ||||||||
\(819\) | −26.3445 | − | 39.1253i | −0.920552 | − | 1.36715i | ||||
\(820\) | −0.616241 | −0.0215201 | ||||||||
\(821\) | 10.9091i | 0.380731i | 0.981713 | + | 0.190366i | \(0.0609674\pi\) | ||||
−0.981713 | + | 0.190366i | \(0.939033\pi\) | |||||||
\(822\) | 2.25054 | + | 10.1398i | 0.0784967 | + | 0.353664i | ||||
\(823\) | −7.05276 | −0.245844 | −0.122922 | − | 0.992416i | \(-0.539226\pi\) | ||||
−0.122922 | + | 0.992416i | \(0.539226\pi\) | |||||||
\(824\) | −9.68173 | −0.337279 | ||||||||
\(825\) | −25.0241 | + | 5.55416i | −0.871228 | + | 0.193371i | ||||
\(826\) | 4.60789 | + | 29.3392i | 0.160329 | + | 1.02084i | ||||
\(827\) | − | 40.5742i | − | 1.41090i | −0.708758 | − | 0.705452i | \(-0.750744\pi\) | ||
0.708758 | − | 0.705452i | \(-0.249256\pi\) | |||||||
\(828\) | −1.26919 | − | 2.71830i | −0.0441074 | − | 0.0944675i | ||||
\(829\) | − | 11.2741i | − | 0.391564i | −0.980647 | − | 0.195782i | \(-0.937275\pi\) | ||
0.980647 | − | 0.195782i | \(-0.0627245\pi\) | |||||||
\(830\) | 5.94706i | 0.206425i | ||||||||
\(831\) | −7.30825 | − | 32.9271i | −0.253520 | − | 1.14223i | ||||
\(832\) | 5.94261i | 0.206023i | ||||||||
\(833\) | −38.4108 | + | 12.3704i | −1.33086 | + | 0.428610i | ||||
\(834\) | 4.18729 | + | 18.8657i | 0.144994 | + | 0.653267i | ||||
\(835\) | −5.08580 | −0.176001 | ||||||||
\(836\) | −1.87150 | −0.0647271 | ||||||||
\(837\) | −31.8072 | + | 24.4438i | −1.09942 | + | 0.844901i | ||||
\(838\) | 27.0100i | 0.933045i | ||||||||
\(839\) | 47.6605 | 1.64542 | 0.822712 | − | 0.568459i | \(-0.192460\pi\) | ||||
0.822712 | + | 0.568459i | \(0.192460\pi\) | |||||||
\(840\) | −2.19009 | + | 0.860042i | −0.0755652 | + | 0.0296743i | ||||
\(841\) | −26.6837 | −0.920128 | ||||||||
\(842\) | − | 26.3099i | − | 0.906698i | ||||||
\(843\) | −50.8117 | + | 11.2778i | −1.75005 | + | 0.388427i | ||||
\(844\) | −20.5183 | −0.706268 | ||||||||
\(845\) | −11.4573 | −0.394145 | ||||||||
\(846\) | 7.95997 | + | 17.0484i | 0.273670 | + | 0.586135i | ||||
\(847\) | −3.23282 | + | 0.507733i | −0.111081 | + | 0.0174459i | ||||
\(848\) | 11.4811i | 0.394262i | ||||||||
\(849\) | −22.2820 | + | 4.94553i | −0.764715 | + | 0.169730i | ||||
\(850\) | 27.3043i | 0.936530i | ||||||||
\(851\) | 1.50999i | 0.0517619i | ||||||||
\(852\) | 8.32562 | − | 1.84789i | 0.285231 | − | 0.0633077i | ||||
\(853\) | 54.6638i | 1.87165i | 0.352460 | + | 0.935827i | \(0.385345\pi\) | ||||
−0.352460 | + | 0.935827i | \(0.614655\pi\) | |||||||
\(854\) | 1.08457 | − | 0.170338i | 0.0371132 | − | 0.00582884i | ||||
\(855\) | −0.390316 | − | 0.835963i | −0.0133485 | − | 0.0285893i | ||||
\(856\) | −8.90889 | −0.304500 | ||||||||
\(857\) | 15.7189 | 0.536947 | 0.268473 | − | 0.963287i | \(-0.413481\pi\) | ||||
0.268473 | + | 0.963287i | \(0.413481\pi\) | |||||||
\(858\) | 31.3972 | − | 6.96867i | 1.07188 | − | 0.237907i | ||||
\(859\) | − | 14.1743i | − | 0.483620i | −0.970324 | − | 0.241810i | \(-0.922259\pi\) | ||
0.970324 | − | 0.241810i | \(-0.0777410\pi\) | |||||||
\(860\) | −2.67317 | −0.0911545 | ||||||||
\(861\) | −2.01039 | − | 5.11944i | −0.0685140 | − | 0.174470i | ||||
\(862\) | −15.9844 | −0.544430 | ||||||||
\(863\) | − | 20.9276i | − | 0.712383i | −0.934413 | − | 0.356191i | \(-0.884075\pi\) | ||
0.934413 | − | 0.356191i | \(-0.115925\pi\) | |||||||
\(864\) | 4.12005 | − | 3.16625i | 0.140167 | − | 0.107718i | ||||
\(865\) | −7.95117 | −0.270348 | ||||||||
\(866\) | 40.7682 | 1.38536 | ||||||||
\(867\) | 6.09225 | + | 27.4485i | 0.206904 | + | 0.932199i | ||||
\(868\) | −3.16909 | − | 20.1781i | −0.107566 | − | 0.684890i | ||||
\(869\) | 40.6108i | 1.37763i | ||||||||
\(870\) | −1.43793 | − | 6.47854i | −0.0487503 | − | 0.219643i | ||||
\(871\) | 37.0240i | 1.25451i | ||||||||
\(872\) | − | 0.131905i | − | 0.00446686i | ||||||
\(873\) | 6.29898 | + | 13.4909i | 0.213188 | + | 0.456598i | ||||
\(874\) | 0.598956i | 0.0202600i | ||||||||
\(875\) | 13.0662 | − | 2.05213i | 0.441718 | − | 0.0693745i | ||||
\(876\) | −6.56781 | + | 1.45774i | −0.221906 | + | 0.0492525i | ||||
\(877\) | −2.57116 | −0.0868218 | −0.0434109 | − | 0.999057i | \(-0.513822\pi\) | ||||
−0.0434109 | + | 0.999057i | \(0.513822\pi\) | |||||||
\(878\) | 29.4214 | 0.992925 | ||||||||
\(879\) | −8.28342 | − | 37.3207i | −0.279393 | − | 1.25880i | ||||
\(880\) | − | 1.60431i | − | 0.0540814i | ||||||
\(881\) | 10.0693 | 0.339245 | 0.169622 | − | 0.985509i | \(-0.445745\pi\) | ||||
0.169622 | + | 0.985509i | \(0.445745\pi\) | |||||||
\(882\) | −14.2897 | − | 15.3885i | −0.481158 | − | 0.518157i | ||||
\(883\) | 18.4902 | 0.622246 | 0.311123 | − | 0.950370i | \(-0.399295\pi\) | ||||
0.311123 | + | 0.950370i | \(0.399295\pi\) | |||||||
\(884\) | − | 34.2580i | − | 1.15222i | ||||||
\(885\) | −2.16303 | − | 9.74548i | −0.0727095 | − | 0.327591i | ||||
\(886\) | 41.1411 | 1.38216 | ||||||||
\(887\) | −15.8796 | −0.533186 | −0.266593 | − | 0.963809i | \(-0.585898\pi\) | ||||
−0.266593 | + | 0.963809i | \(0.585898\pi\) | |||||||
\(888\) | −2.55325 | + | 0.566700i | −0.0856815 | + | 0.0190172i | ||||
\(889\) | −7.48944 | + | 1.17626i | −0.251188 | + | 0.0394506i | ||||
\(890\) | − | 1.58183i | − | 0.0530231i | ||||||
\(891\) | −21.5600 | − | 18.0549i | −0.722287 | − | 0.604863i | ||||
\(892\) | 13.9302i | 0.466419i | ||||||||
\(893\) | − | 3.75647i | − | 0.125705i | ||||||
\(894\) | −7.31125 | − | 32.9406i | −0.244525 | − | 1.10170i | ||||
\(895\) | − | 0.717986i | − | 0.0239996i | ||||||
\(896\) | 0.410499 | + | 2.61371i | 0.0137138 | + | 0.0873180i | ||||
\(897\) | −2.23026 | − | 10.0484i | −0.0744662 | − | 0.335505i | ||||
\(898\) | −37.3241 | −1.24552 | ||||||||
\(899\) | 57.6086 | 1.92135 | ||||||||
\(900\) | −12.8749 | + | 6.01136i | −0.429163 | + | 0.200379i | ||||
\(901\) | − | 66.1863i | − | 2.20499i | ||||||
\(902\) | 3.75016 | 0.124867 | ||||||||
\(903\) | −8.72082 | − | 22.2075i | −0.290211 | − | 0.739019i | ||||
\(904\) | −2.89434 | −0.0962644 | ||||||||
\(905\) | 4.47824i | 0.148862i | ||||||||
\(906\) | 29.7244 | − | 6.59739i | 0.987526 | − | 0.219184i | ||||
\(907\) | −16.7086 | −0.554800 | −0.277400 | − | 0.960755i | \(-0.589473\pi\) | ||||
−0.277400 | + | 0.960755i | \(0.589473\pi\) | |||||||
\(908\) | 20.1970 | 0.670260 | ||||||||
\(909\) | −31.4706 | + | 14.6938i | −1.04381 | + | 0.487363i | ||||
\(910\) | −7.97498 | + | 1.25252i | −0.264368 | + | 0.0415206i | ||||
\(911\) | − | 3.78903i | − | 0.125536i | −0.998028 | − | 0.0627681i | \(-0.980007\pi\) | ||
0.998028 | − | 0.0627681i | \(-0.0199929\pi\) | |||||||
\(912\) | −1.01278 | + | 0.224788i | −0.0335364 | + | 0.00744347i | ||||
\(913\) | − | 36.1911i | − | 1.19775i | ||||||
\(914\) | − | 18.9154i | − | 0.625667i | ||||||
\(915\) | −0.360257 | + | 0.0799599i | −0.0119097 | + | 0.00264339i | ||||
\(916\) | 5.07556i | 0.167701i | ||||||||
\(917\) | −16.0708 | + | 2.52401i | −0.530704 | + | 0.0833502i | ||||
\(918\) | −23.7513 | + | 18.2529i | −0.783911 | + | 0.602434i | ||||
\(919\) | −57.2674 | −1.88908 | −0.944539 | − | 0.328399i | \(-0.893491\pi\) | ||||
−0.944539 | + | 0.328399i | \(0.893491\pi\) | |||||||
\(920\) | −0.513446 | −0.0169278 | ||||||||
\(921\) | 20.3186 | − | 4.50976i | 0.669521 | − | 0.148602i | ||||
\(922\) | 41.5200i | 1.36739i | ||||||||
\(923\) | 29.2601 | 0.963107 | ||||||||
\(924\) | 13.3279 | − | 5.23383i | 0.438456 | − | 0.172180i | ||||
\(925\) | 7.15189 | 0.235153 | ||||||||
\(926\) | − | 25.5118i | − | 0.838370i | ||||||
\(927\) | 12.2880 | + | 26.3179i | 0.403589 | + | 0.864392i | ||||
\(928\) | −7.46215 | −0.244957 | ||||||||
\(929\) | −15.9314 | −0.522692 | −0.261346 | − | 0.965245i | \(-0.584166\pi\) | ||||
−0.261346 | + | 0.965245i | \(0.584166\pi\) | |||||||
\(930\) | 1.48763 | + | 6.70249i | 0.0487814 | + | 0.219783i | ||||
\(931\) | 1.28527 | + | 3.99083i | 0.0421231 | + | 0.130794i | ||||
\(932\) | − | 16.3692i | − | 0.536192i | ||||||
\(933\) | 0.658825 | + | 2.96832i | 0.0215690 | + | 0.0971783i | ||||
\(934\) | − | 5.49956i | − | 0.179951i | ||||||
\(935\) | 9.24856i | 0.302460i | ||||||||
\(936\) | 16.1538 | − | 7.54230i | 0.528003 | − | 0.246528i | ||||
\(937\) | 16.3168i | 0.533047i | 0.963828 | + | 0.266524i | \(0.0858751\pi\) | ||||
−0.963828 | + | 0.266524i | \(0.914125\pi\) | |||||||
\(938\) | 2.55752 | + | 16.2841i | 0.0835059 | + | 0.531695i | ||||
\(939\) | 18.8159 | − | 4.17622i | 0.614032 | − | 0.136286i | ||||
\(940\) | 3.22018 | 0.105031 | ||||||||
\(941\) | −49.1465 | −1.60213 | −0.801064 | − | 0.598578i | \(-0.795733\pi\) | ||||
−0.801064 | + | 0.598578i | \(0.795733\pi\) | |||||||
\(942\) | −7.57439 | − | 34.1262i | −0.246787 | − | 1.11189i | ||||
\(943\) | − | 1.20021i | − | 0.0390841i | ||||||
\(944\) | −11.2251 | −0.365346 | ||||||||
\(945\) | 5.11749 | + | 4.86176i | 0.166472 | + | 0.158153i | ||||
\(946\) | 16.2677 | 0.528910 | ||||||||
\(947\) | − | 49.9998i | − | 1.62477i | −0.583118 | − | 0.812387i | \(-0.698168\pi\) | ||
0.583118 | − | 0.812387i | \(-0.301832\pi\) | |||||||
\(948\) | 4.87781 | + | 21.9768i | 0.158424 | + | 0.713774i | ||||
\(949\) | −23.0823 | −0.749284 | ||||||||
\(950\) | 2.83688 | 0.0920405 | ||||||||
\(951\) | 48.0724 | − | 10.6698i | 1.55885 | − | 0.345991i | ||||
\(952\) | −2.36645 | − | 15.0676i | −0.0766971 | − | 0.488342i | ||||
\(953\) | 8.16151i | 0.264377i | 0.991225 | + | 0.132189i | \(0.0422005\pi\) | ||||
−0.991225 | + | 0.132189i | \(0.957800\pi\) | |||||||
\(954\) | 31.2091 | − | 14.5717i | 1.01043 | − | 0.471776i | ||||
\(955\) | 1.30079i | 0.0420927i | ||||||||
\(956\) | 17.3203i | 0.560178i | ||||||||
\(957\) | 8.75058 | + | 39.4255i | 0.282866 | + | 1.27445i | ||||
\(958\) | − | 34.8057i | − | 1.12452i | ||||||
\(959\) | 2.46162 | + | 15.6735i | 0.0794899 | + | 0.506124i | ||||
\(960\) | −0.192696 | − | 0.868187i | −0.00621924 | − | 0.0280206i | ||||
\(961\) | −28.6000 | −0.922580 | ||||||||
\(962\) | −8.97330 | −0.289311 | ||||||||
\(963\) | 11.3071 | + | 24.2170i | 0.364365 | + | 0.780383i | ||||
\(964\) | − | 1.31010i | − | 0.0421955i | ||||||
\(965\) | −10.4971 | −0.337914 | ||||||||
\(966\) | −1.67504 | − | 4.26547i | −0.0538935 | − | 0.137239i | ||||
\(967\) | −31.1128 | −1.00052 | −0.500260 | − | 0.865875i | \(-0.666762\pi\) | ||||
−0.500260 | + | 0.865875i | \(0.666762\pi\) | |||||||
\(968\) | − | 1.23687i | − | 0.0397545i | ||||||
\(969\) | 5.83846 | − | 1.29586i | 0.187558 | − | 0.0416290i | ||||
\(970\) | 2.54823 | 0.0818186 | ||||||||
\(971\) | 27.6668 | 0.887871 | 0.443935 | − | 0.896059i | \(-0.353582\pi\) | ||||
0.443935 | + | 0.896059i | \(0.353582\pi\) | |||||||
\(972\) | −13.8360 | − | 7.18097i | −0.443789 | − | 0.230330i | ||||
\(973\) | 4.58002 | + | 29.1617i | 0.146829 | + | 0.934881i | ||||
\(974\) | 16.0666i | 0.514808i | ||||||||
\(975\) | −47.5928 | + | 10.5633i | −1.52419 | + | 0.338298i | ||||
\(976\) | 0.414953i | 0.0132823i | ||||||||
\(977\) | − | 2.19604i | − | 0.0702576i | −0.999383 | − | 0.0351288i | \(-0.988816\pi\) | ||
0.999383 | − | 0.0351288i | \(-0.0111842\pi\) | |||||||
\(978\) | 20.4544 | − | 4.53990i | 0.654060 | − | 0.145170i | ||||
\(979\) | 9.62631i | 0.307658i | ||||||||
\(980\) | −3.42108 | + | 1.10178i | −0.109282 | + | 0.0351950i | ||||
\(981\) | −0.358557 | + | 0.167412i | −0.0114479 | + | 0.00534507i | ||||
\(982\) | −0.917569 | −0.0292808 | ||||||||
\(983\) | 23.5613 | 0.751489 | 0.375744 | − | 0.926723i | \(-0.377387\pi\) | ||||
0.375744 | + | 0.926723i | \(0.377387\pi\) | |||||||
\(984\) | 2.02943 | − | 0.450437i | 0.0646959 | − | 0.0143594i | ||||
\(985\) | − | 6.23244i | − | 0.198582i | ||||||
\(986\) | 43.0179 | 1.36997 | ||||||||
\(987\) | 10.5053 | + | 26.7517i | 0.334389 | + | 0.851517i | ||||
\(988\) | −3.55936 | −0.113238 | ||||||||
\(989\) | − | 5.20634i | − | 0.165552i | ||||||
\(990\) | −4.36101 | + | 2.03618i | −0.138602 | + | 0.0647140i | ||||
\(991\) | −13.7191 | −0.435801 | −0.217901 | − | 0.975971i | \(-0.569921\pi\) | ||||
−0.217901 | + | 0.975971i | \(0.569921\pi\) | |||||||
\(992\) | 7.72010 | 0.245113 | ||||||||
\(993\) | 5.21956 | + | 23.5166i | 0.165638 | + | 0.746276i | ||||
\(994\) | 12.8693 | − | 2.02120i | 0.408190 | − | 0.0641087i | ||||
\(995\) | 2.82217i | 0.0894689i | ||||||||
\(996\) | −4.34696 | − | 19.5851i | −0.137739 | − | 0.620578i | ||||
\(997\) | − | 25.1593i | − | 0.796804i | −0.917211 | − | 0.398402i | \(-0.869565\pi\) | ||
0.917211 | − | 0.398402i | \(-0.130435\pi\) | |||||||
\(998\) | 23.2826i | 0.736998i | ||||||||
\(999\) | 4.78102 | + | 6.22125i | 0.151265 | + | 0.196832i |
(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 | 966.2.f.b.461.19 | yes | 24 | |
3.2 | odd | 2 | inner | 966.2.f.b.461.6 | ✓ | 24 | |
7.6 | odd | 2 | inner | 966.2.f.b.461.18 | yes | 24 | |
21.20 | even | 2 | inner | 966.2.f.b.461.7 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.f.b.461.6 | ✓ | 24 | 3.2 | odd | 2 | inner | |
966.2.f.b.461.7 | yes | 24 | 21.20 | even | 2 | inner | |
966.2.f.b.461.18 | yes | 24 | 7.6 | odd | 2 | inner | |
966.2.f.b.461.19 | yes | 24 | 1.1 | even | 1 | trivial |