Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(125,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.125");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.be (of order \(12\), 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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | 16.0.6040479020157644046336.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{12} - 32x^{8} - 567x^{4} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 467.2 | ||
Root | \(-0.0537601 + 1.73122i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 666.467 |
Dual form | 666.2.be.d.251.2 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 0.765290 | + | 0.205059i | 0.342248 | + | 0.0917052i | 0.425849 | − | 0.904794i | \(-0.359975\pi\) |
−0.0836009 | + | 0.996499i | \(0.526642\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.896143 | − | 1.55217i | −0.338710 | − | 0.586664i | 0.645480 | − | 0.763777i | \(-0.276657\pi\) |
−0.984190 | + | 0.177114i | \(0.943324\pi\) | |||||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.792287 | −0.250543 | ||||||||
\(11\) | −4.98417 | −1.50278 | −0.751391 | − | 0.659857i | \(-0.770617\pi\) | ||||
−0.751391 | + | 0.659857i | \(0.770617\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0278283 | − | 0.103857i | 0.00771817 | − | 0.0288046i | −0.961959 | − | 0.273193i | \(-0.911920\pi\) |
0.969678 | + | 0.244388i | \(0.0785870\pi\) | |||||||
\(14\) | 1.26734 | + | 1.26734i | 0.338710 | + | 0.338710i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.912166 | − | 3.40425i | −0.221233 | − | 0.825652i | −0.983879 | − | 0.178836i | \(-0.942767\pi\) |
0.762646 | − | 0.646816i | \(-0.223900\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.21397 | − | 8.26264i | 0.507919 | − | 1.89558i | 0.0676637 | − | 0.997708i | \(-0.478446\pi\) |
0.440256 | − | 0.897872i | \(-0.354888\pi\) | |||||||
\(20\) | 0.765290 | − | 0.205059i | 0.171124 | − | 0.0458526i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.81433 | − | 1.29000i | 1.02642 | − | 0.275028i | ||||
\(23\) | −5.99711 | + | 5.99711i | −1.25048 | + | 1.25048i | −0.294980 | + | 0.955503i | \(0.595313\pi\) |
−0.955503 | + | 0.294980i | \(0.904687\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −3.78651 | − | 2.18614i | −0.757301 | − | 0.437228i | ||||
\(26\) | 0.107520i | 0.0210864i | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.55217 | − | 0.896143i | −0.293332 | − | 0.169355i | ||||
\(29\) | 4.02266 | + | 4.02266i | 0.746990 | + | 0.746990i | 0.973913 | − | 0.226923i | \(-0.0728665\pi\) |
−0.226923 | + | 0.973913i | \(0.572867\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.76493 | + | 6.76493i | −1.21502 | + | 1.21502i | −0.245663 | + | 0.969355i | \(0.579006\pi\) |
−0.969355 | + | 0.245663i | \(0.920994\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.76217 | + | 3.05217i | 0.302209 | + | 0.523442i | ||||
\(35\) | −0.367525 | − | 1.37162i | −0.0621230 | − | 0.231846i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.26613 | − | 4.33591i | 0.701348 | − | 0.712819i | ||||
\(38\) | 8.55412i | 1.38766i | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −0.686141 | + | 0.396143i | −0.108488 | + | 0.0626358i | ||||
\(41\) | −4.52147 | − | 7.83142i | −0.706136 | − | 1.22306i | −0.966280 | − | 0.257493i | \(-0.917104\pi\) |
0.260145 | − | 0.965570i | \(-0.416230\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.24060 | + | 2.24060i | 0.341688 | + | 0.341688i | 0.857002 | − | 0.515314i | \(-0.172325\pi\) |
−0.515314 | + | 0.857002i | \(0.672325\pi\) | |||||||
\(44\) | −4.31641 | + | 2.49208i | −0.650724 | + | 0.375696i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 4.24060 | − | 7.34493i | 0.625242 | − | 1.08295i | ||||
\(47\) | − | 8.63283i | − | 1.25923i | −0.776908 | − | 0.629614i | \(-0.783213\pi\) | ||
0.776908 | − | 0.629614i | \(-0.216787\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.89385 | − | 3.28025i | 0.270551 | − | 0.468607i | ||||
\(50\) | 4.22330 | + | 1.13163i | 0.597265 | + | 0.160037i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.0278283 | − | 0.103857i | −0.00385909 | − | 0.0144023i | ||||
\(53\) | −0.970349 | − | 0.560232i | −0.133288 | − | 0.0769537i | 0.431873 | − | 0.901934i | \(-0.357853\pi\) |
−0.565161 | + | 0.824980i | \(0.691186\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −3.81433 | − | 1.02205i | −0.514325 | − | 0.137813i | ||||
\(56\) | 1.73122 | + | 0.463878i | 0.231344 | + | 0.0619883i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.92674 | − | 2.84445i | −0.646912 | − | 0.373495i | ||||
\(59\) | −3.06049 | − | 11.4219i | −0.398442 | − | 1.48700i | −0.815838 | − | 0.578280i | \(-0.803724\pi\) |
0.417396 | − | 0.908725i | \(-0.362943\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.05217 | − | 0.549876i | −0.262753 | − | 0.0704044i | 0.125037 | − | 0.992152i | \(-0.460095\pi\) |
−0.387790 | + | 0.921748i | \(0.626762\pi\) | |||||||
\(62\) | 4.78353 | − | 8.28532i | 0.607509 | − | 1.05224i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | 0.0425934 | − | 0.0737740i | 0.00528306 | − | 0.00915053i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −12.9290 | + | 7.46458i | −1.57953 | + | 0.911943i | −0.584608 | + | 0.811316i | \(0.698752\pi\) |
−0.994924 | + | 0.100627i | \(0.967915\pi\) | |||||||
\(68\) | −2.49208 | − | 2.49208i | −0.302209 | − | 0.302209i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.710003 | + | 1.22976i | 0.0848616 | + | 0.146985i | ||||
\(71\) | 5.01144 | − | 2.89335i | 0.594748 | − | 0.343378i | −0.172225 | − | 0.985058i | \(-0.555095\pi\) |
0.766973 | + | 0.641680i | \(0.221762\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.90818i | 0.340377i | 0.985412 | + | 0.170188i | \(0.0544376\pi\) | ||||
−0.985412 | + | 0.170188i | \(0.945562\pi\) | |||||||
\(74\) | −2.99855 | + | 5.29232i | −0.348575 | + | 0.615220i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.21397 | − | 8.26264i | −0.253960 | − | 0.947790i | ||||
\(77\) | 4.46653 | + | 7.73625i | 0.509008 | + | 0.881628i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.0278283 | + | 0.103857i | −0.00313092 | + | 0.0116848i | −0.967474 | − | 0.252972i | \(-0.918592\pi\) |
0.964343 | + | 0.264657i | \(0.0852586\pi\) | |||||||
\(80\) | 0.560232 | − | 0.560232i | 0.0626358 | − | 0.0626358i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.39433 | + | 6.39433i | 0.706136 | + | 0.706136i | ||||
\(83\) | −3.41423 | − | 1.97121i | −0.374760 | − | 0.216368i | 0.300776 | − | 0.953695i | \(-0.402754\pi\) |
−0.675536 | + | 0.737327i | \(0.736088\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | − | 2.79229i | − | 0.302866i | ||||||
\(86\) | −2.74416 | − | 1.58434i | −0.295910 | − | 0.170844i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.52434 | − | 3.52434i | 0.375696 | − | 0.375696i | ||||
\(89\) | −5.75830 | + | 1.54293i | −0.610379 | + | 0.163551i | −0.550750 | − | 0.834670i | \(-0.685658\pi\) |
−0.0596287 | + | 0.998221i | \(0.518992\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.186141 | + | 0.0498762i | −0.0195128 | + | 0.00522845i | ||||
\(92\) | −2.19509 | + | 8.19220i | −0.228854 | + | 0.854096i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.23434 | + | 8.33867i | 0.230455 | + | 0.860068i | ||||
\(95\) | 3.38866 | − | 5.86933i | 0.347669 | − | 0.602180i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.841688 | − | 0.841688i | −0.0854604 | − | 0.0854604i | 0.663084 | − | 0.748545i | \(-0.269247\pi\) |
−0.748545 | + | 0.663084i | \(0.769247\pi\) | |||||||
\(98\) | −0.980331 | + | 3.65864i | −0.0990284 | + | 0.369579i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.37228 | −0.437228 | ||||||||
\(101\) | 3.67984 | 0.366158 | 0.183079 | − | 0.983098i | \(-0.441394\pi\) | ||||
0.183079 | + | 0.983098i | \(0.441394\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.16915 | − | 4.16915i | 0.410798 | − | 0.410798i | −0.471218 | − | 0.882017i | \(-0.656186\pi\) |
0.882017 | + | 0.471218i | \(0.156186\pi\) | |||||||
\(104\) | 0.0537601 | + | 0.0931152i | 0.00527161 | + | 0.00913070i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.08228 | + | 0.289997i | 0.105121 | + | 0.0281670i | ||||
\(107\) | 6.57967 | − | 3.79878i | 0.636081 | − | 0.367242i | −0.147022 | − | 0.989133i | \(-0.546969\pi\) |
0.783103 | + | 0.621892i | \(0.213636\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −1.29854 | + | 0.347944i | −0.124378 | + | 0.0333269i | −0.320471 | − | 0.947258i | \(-0.603841\pi\) |
0.196093 | + | 0.980585i | \(0.437175\pi\) | |||||||
\(110\) | 3.94889 | 0.376512 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.79229 | −0.169355 | ||||||||
\(113\) | 18.8250 | − | 5.04416i | 1.77091 | − | 0.474514i | 0.782033 | − | 0.623237i | \(-0.214183\pi\) |
0.988879 | + | 0.148723i | \(0.0475163\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.81929 | + | 3.35977i | −0.542652 | + | 0.313300i | ||||
\(116\) | 5.49506 | + | 1.47240i | 0.510204 | + | 0.136709i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 5.91241 | + | 10.2406i | 0.544282 | + | 0.942723i | ||||
\(119\) | −4.46653 | + | 4.46653i | −0.409446 | + | 0.409446i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 13.8419 | 1.25836 | ||||||||
\(122\) | 2.12456 | 0.192349 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.47614 | + | 9.24107i | −0.222364 | + | 0.829873i | ||||
\(125\) | −5.25065 | − | 5.25065i | −0.469632 | − | 0.469632i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −4.78193 | + | 8.28254i | −0.424327 | + | 0.734957i | −0.996357 | − | 0.0852761i | \(-0.972823\pi\) |
0.572030 | + | 0.820233i | \(0.306156\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.0220480 | + | 0.0822842i | −0.00193374 | + | 0.00721680i | ||||
\(131\) | −8.80388 | + | 2.35899i | −0.769198 | + | 0.206106i | −0.622017 | − | 0.783004i | \(-0.713687\pi\) |
−0.147181 | + | 0.989110i | \(0.547020\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.8090 | + | 3.96807i | −1.28411 | + | 0.344075i | ||||
\(134\) | 10.5565 | − | 10.5565i | 0.911943 | − | 0.911943i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 3.05217 | + | 1.76217i | 0.261721 | + | 0.151105i | ||||
\(137\) | 17.3708i | 1.48409i | 0.670351 | + | 0.742044i | \(0.266144\pi\) | ||||
−0.670351 | + | 0.742044i | \(0.733856\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.9125 | + | 9.18709i | 1.34968 | + | 0.779239i | 0.988204 | − | 0.153142i | \(-0.0489392\pi\) |
0.361477 | + | 0.932381i | \(0.382273\pi\) | |||||||
\(140\) | −1.00410 | − | 1.00410i | −0.0848616 | − | 0.0848616i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.09182 | + | 4.09182i | −0.343378 | + | 0.343378i | ||||
\(143\) | −0.138701 | + | 0.517638i | −0.0115987 | + | 0.0432871i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 2.25362 | + | 3.90339i | 0.187153 | + | 0.324159i | ||||
\(146\) | −0.752692 | − | 2.80909i | −0.0622933 | − | 0.232482i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.52663 | − | 5.88807i | 0.125488 | − | 0.483997i | ||||
\(149\) | 1.20618i | 0.0988143i | 0.998779 | + | 0.0494072i | \(0.0157332\pi\) | ||||
−0.998779 | + | 0.0494072i | \(0.984267\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.05904 | − | 3.49819i | 0.493077 | − | 0.284678i | −0.232773 | − | 0.972531i | \(-0.574780\pi\) |
0.725850 | + | 0.687853i | \(0.241447\pi\) | |||||||
\(152\) | 4.27706 | + | 7.40808i | 0.346915 | + | 0.600875i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −6.31662 | − | 6.31662i | −0.509008 | − | 0.509008i | ||||
\(155\) | −6.56435 | + | 3.78993i | −0.527261 | + | 0.304414i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −8.71820 | + | 15.1004i | −0.695788 | + | 1.20514i | 0.274126 | + | 0.961694i | \(0.411611\pi\) |
−0.969914 | + | 0.243447i | \(0.921722\pi\) | |||||||
\(158\) | − | 0.107520i | − | 0.00855385i | ||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −0.396143 | + | 0.686141i | −0.0313179 | + | 0.0542442i | ||||
\(161\) | 14.6828 | + | 3.93424i | 1.15717 | + | 0.310061i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.72217 | + | 13.8913i | 0.291543 | + | 1.08805i | 0.943925 | + | 0.330161i | \(0.107103\pi\) |
−0.652382 | + | 0.757890i | \(0.726230\pi\) | |||||||
\(164\) | −7.83142 | − | 4.52147i | −0.611531 | − | 0.353068i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.80808 | + | 1.02037i | 0.295564 | + | 0.0791962i | ||||
\(167\) | 14.5054 | + | 3.88671i | 1.12246 | + | 0.300763i | 0.771879 | − | 0.635769i | \(-0.219317\pi\) |
0.350582 | + | 0.936532i | \(0.385984\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.2483 | + | 6.49422i | 0.865255 | + | 0.499555i | ||||
\(170\) | 0.722697 | + | 2.69714i | 0.0554283 | + | 0.206861i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.06071 | + | 0.820115i | 0.233377 | + | 0.0625332i | ||||
\(173\) | 0.921013 | − | 1.59524i | 0.0700233 | − | 0.121284i | −0.828888 | − | 0.559415i | \(-0.811026\pi\) |
0.898911 | + | 0.438131i | \(0.144359\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.83638i | 0.592375i | ||||||||
\(176\) | −2.49208 | + | 4.31641i | −0.187848 | + | 0.325362i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 5.16275 | − | 2.98072i | 0.386965 | − | 0.223414i | ||||
\(179\) | 3.22506 | + | 3.22506i | 0.241052 | + | 0.241052i | 0.817285 | − | 0.576233i | \(-0.195478\pi\) |
−0.576233 | + | 0.817285i | \(0.695478\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.2596 | − | 19.5023i | −0.836922 | − | 1.44959i | −0.892456 | − | 0.451134i | \(-0.851020\pi\) |
0.0555345 | − | 0.998457i | \(-0.482314\pi\) | |||||||
\(182\) | 0.166889 | − | 0.0963535i | 0.0123706 | − | 0.00714220i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | − | 8.48119i | − | 0.625242i | ||||||
\(185\) | 4.15395 | − | 2.44342i | 0.305404 | − | 0.179644i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.54639 | + | 16.9673i | 0.332465 | + | 1.24077i | ||||
\(188\) | −4.31641 | − | 7.47625i | −0.314807 | − | 0.545262i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −1.75410 | + | 6.54639i | −0.127256 | + | 0.474925i | ||||
\(191\) | 1.17684 | − | 1.17684i | 0.0851531 | − | 0.0851531i | −0.663247 | − | 0.748400i | \(-0.730822\pi\) |
0.748400 | + | 0.663247i | \(0.230822\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.26264 | + | 8.26264i | 0.594758 | + | 0.594758i | 0.938913 | − | 0.344155i | \(-0.111834\pi\) |
−0.344155 | + | 0.938913i | \(0.611834\pi\) | |||||||
\(194\) | 1.03085 | + | 0.595163i | 0.0740109 | + | 0.0427302i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | − | 3.78771i | − | 0.270551i | ||||||
\(197\) | 9.14410 | + | 5.27935i | 0.651490 | + | 0.376138i | 0.789027 | − | 0.614359i | \(-0.210585\pi\) |
−0.137537 | + | 0.990497i | \(0.543919\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 16.6329 | − | 16.6329i | 1.17908 | − | 1.17908i | 0.199095 | − | 0.979980i | \(-0.436200\pi\) |
0.979980 | − | 0.199095i | \(-0.0638002\pi\) | |||||||
\(200\) | 4.22330 | − | 1.13163i | 0.298632 | − | 0.0800183i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −3.55446 | + | 0.952414i | −0.250091 | + | 0.0670116i | ||||
\(203\) | 2.63896 | − | 9.84873i | 0.185219 | − | 0.691245i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.85434 | − | 6.92048i | −0.129513 | − | 0.483347i | ||||
\(206\) | −2.94803 | + | 5.10614i | −0.205399 | + | 0.355762i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.0760282 | − | 0.0760282i | −0.00527161 | − | 0.00527161i | ||||
\(209\) | −11.0348 | + | 41.1824i | −0.763292 | + | 2.84865i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −23.4651 | −1.61540 | −0.807700 | − | 0.589593i | \(-0.799288\pi\) | ||||
−0.807700 | + | 0.589593i | \(0.799288\pi\) | |||||||
\(212\) | −1.12046 | −0.0769537 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.37228 | + | 5.37228i | −0.367242 | + | 0.367242i | ||||
\(215\) | 1.25525 | + | 2.17416i | 0.0856075 | + | 0.148277i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.5627 | + | 4.43795i | 1.12435 | + | 0.301268i | ||||
\(218\) | 1.16424 | − | 0.672175i | 0.0788524 | − | 0.0455255i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.81433 | + | 1.02205i | −0.257162 | + | 0.0689065i | ||||
\(221\) | −0.378937 | −0.0254901 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.1248 | −1.34765 | −0.673827 | − | 0.738889i | \(-0.735351\pi\) | ||||
−0.673827 | + | 0.738889i | \(0.735351\pi\) | |||||||
\(224\) | 1.73122 | − | 0.463878i | 0.115672 | − | 0.0309942i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −16.8781 | + | 9.74456i | −1.12271 | + | 0.648199i | ||||
\(227\) | −26.7043 | − | 7.15539i | −1.77242 | − | 0.474920i | −0.783255 | − | 0.621700i | \(-0.786442\pi\) |
−0.989169 | + | 0.146780i | \(0.953109\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.12737 | + | 5.41676i | 0.206662 | + | 0.357950i | 0.950661 | − | 0.310231i | \(-0.100406\pi\) |
−0.743999 | + | 0.668181i | \(0.767073\pi\) | |||||||
\(230\) | 4.75143 | − | 4.75143i | 0.313300 | − | 0.313300i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −5.68891 | −0.373495 | ||||||||
\(233\) | 4.12762 | 0.270409 | 0.135205 | − | 0.990818i | \(-0.456831\pi\) | ||||
0.135205 | + | 0.990818i | \(0.456831\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 1.77024 | − | 6.60662i | 0.115478 | − | 0.430968i | ||||
\(236\) | −8.36141 | − | 8.36141i | −0.544282 | − | 0.544282i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 3.15831 | − | 5.47036i | 0.204723 | − | 0.354591i | ||||
\(239\) | −7.24419 | − | 27.0357i | −0.468588 | − | 1.74879i | −0.644713 | − | 0.764425i | \(-0.723023\pi\) |
0.176125 | − | 0.984368i | \(-0.443644\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.35143 | − | 12.5077i | 0.215885 | − | 0.805693i | −0.769968 | − | 0.638082i | \(-0.779728\pi\) |
0.985853 | − | 0.167611i | \(-0.0536053\pi\) | |||||||
\(242\) | −13.3703 | + | 3.58255i | −0.859473 | + | 0.230295i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −2.05217 | + | 0.549876i | −0.131376 | + | 0.0352022i | ||||
\(245\) | 2.12199 | − | 2.12199i | 0.135569 | − | 0.135569i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.796518 | − | 0.459870i | −0.0506813 | − | 0.0292608i | ||||
\(248\) | − | 9.56706i | − | 0.607509i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 6.43070 | + | 3.71277i | 0.406713 | + | 0.234816i | ||||
\(251\) | −8.30142 | − | 8.30142i | −0.523981 | − | 0.523981i | 0.394790 | − | 0.918771i | \(-0.370817\pi\) |
−0.918771 | + | 0.394790i | \(0.870817\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 29.8906 | − | 29.8906i | 1.87921 | − | 1.87921i | ||||
\(254\) | 2.47531 | − | 9.23797i | 0.155315 | − | 0.579642i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −4.70514 | − | 17.5598i | −0.293498 | − | 1.09535i | −0.942403 | − | 0.334481i | \(-0.891439\pi\) |
0.648904 | − | 0.760870i | \(-0.275228\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.5531 | − | 2.73615i | −0.655739 | − | 0.170016i | ||||
\(260\) | − | 0.0851868i | − | 0.00528306i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 7.89334 | − | 4.55722i | 0.487652 | − | 0.281546i | ||||
\(263\) | 9.28386 | + | 16.0801i | 0.572467 | + | 0.991542i | 0.996312 | + | 0.0858072i | \(0.0273469\pi\) |
−0.423845 | + | 0.905735i | \(0.639320\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.627719 | − | 0.627719i | −0.0385605 | − | 0.0385605i | ||||
\(266\) | 13.2774 | − | 7.66572i | 0.814090 | − | 0.470015i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −7.46458 | + | 12.9290i | −0.455972 | + | 0.789766i | ||||
\(269\) | 4.56704i | 0.278457i | 0.990260 | + | 0.139229i | \(0.0444623\pi\) | ||||
−0.990260 | + | 0.139229i | \(0.955538\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.34773 | − | 4.06639i | 0.142615 | − | 0.247016i | −0.785866 | − | 0.618397i | \(-0.787782\pi\) |
0.928480 | + | 0.371381i | \(0.121116\pi\) | |||||||
\(272\) | −3.40425 | − | 0.912166i | −0.206413 | − | 0.0553082i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.49590 | − | 16.7789i | −0.271607 | − | 1.01365i | ||||
\(275\) | 18.8726 | + | 10.8961i | 1.13806 | + | 0.657059i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 18.4300 | + | 4.93830i | 1.10735 | + | 0.296714i | 0.765754 | − | 0.643133i | \(-0.222366\pi\) |
0.341596 | + | 0.939847i | \(0.389033\pi\) | |||||||
\(278\) | −17.7481 | − | 4.75559i | −1.06446 | − | 0.285221i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.22976 | + | 0.710003i | 0.0734923 | + | 0.0424308i | ||||
\(281\) | 6.10881 | + | 22.7984i | 0.364421 | + | 1.36004i | 0.868204 | + | 0.496207i | \(0.165274\pi\) |
−0.503783 | + | 0.863830i | \(0.668059\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.37604 | − | 1.70845i | −0.379016 | − | 0.101557i | 0.0642809 | − | 0.997932i | \(-0.479525\pi\) |
−0.443297 | + | 0.896375i | \(0.646191\pi\) | |||||||
\(284\) | 2.89335 | − | 5.01144i | 0.171689 | − | 0.297374i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | − | 0.535898i | − | 0.0316883i | ||||||
\(287\) | −8.10378 | + | 14.0362i | −0.478351 | + | 0.828528i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.96557 | − | 2.28952i | 0.233269 | − | 0.134678i | ||||
\(290\) | −3.18710 | − | 3.18710i | −0.187153 | − | 0.187153i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.45409 | + | 2.51856i | 0.0850942 | + | 0.147387i | ||||
\(293\) | 0.583026 | − | 0.336610i | 0.0340608 | − | 0.0196650i | −0.482873 | − | 0.875690i | \(-0.660407\pi\) |
0.516934 | + | 0.856025i | \(0.327073\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 9.36865i | − | 0.545464i | ||||||
\(296\) | 0.0493365 | + | 6.08256i | 0.00286762 | + | 0.353542i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.312183 | − | 1.16508i | −0.0180843 | − | 0.0674915i | ||||
\(299\) | 0.455950 | + | 0.789728i | 0.0263682 | + | 0.0456711i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.46988 | − | 5.48567i | 0.0847226 | − | 0.316189i | ||||
\(302\) | −4.94718 | + | 4.94718i | −0.284678 | + | 0.284678i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −6.04868 | − | 6.04868i | −0.346915 | − | 0.346915i | ||||
\(305\) | −1.45775 | − | 0.841630i | −0.0834703 | − | 0.0481916i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.44263i | 0.310627i | 0.987865 | + | 0.155314i | \(0.0496388\pi\) | ||||
−0.987865 | + | 0.155314i | \(0.950361\pi\) | |||||||
\(308\) | 7.73625 | + | 4.46653i | 0.440814 | + | 0.254504i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 5.35977 | − | 5.35977i | 0.304414 | − | 0.304414i | ||||
\(311\) | 10.4362 | − | 2.79638i | 0.591784 | − | 0.158568i | 0.0495157 | − | 0.998773i | \(-0.484232\pi\) |
0.542269 | + | 0.840205i | \(0.317566\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.13623 | + | 0.840349i | −0.177270 | + | 0.0474993i | −0.346362 | − | 0.938101i | \(-0.612583\pi\) |
0.169092 | + | 0.985600i | \(0.445916\pi\) | |||||||
\(314\) | 4.51287 | − | 16.8423i | 0.254676 | − | 0.950464i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.0278283 | + | 0.103857i | 0.00156546 | + | 0.00584238i | ||||
\(317\) | −5.83841 | + | 10.1124i | −0.327918 | + | 0.567971i | −0.982099 | − | 0.188368i | \(-0.939680\pi\) |
0.654181 | + | 0.756338i | \(0.273014\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −20.0496 | − | 20.0496i | −1.12256 | − | 1.12256i | ||||
\(320\) | 0.205059 | − | 0.765290i | 0.0114631 | − | 0.0427810i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −15.2007 | −0.847104 | ||||||||
\(323\) | −30.1476 | −1.67746 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.332417 | + | 0.332417i | −0.0184392 | + | 0.0184392i | ||||
\(326\) | −7.19067 | − | 12.4546i | −0.398255 | − | 0.689797i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 8.73482 | + | 2.34049i | 0.482300 | + | 0.129232i | ||||
\(329\) | −13.3996 | + | 7.73625i | −0.738743 | + | 0.426513i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 22.2516 | − | 5.96229i | 1.22306 | − | 0.327717i | 0.411184 | − | 0.911552i | \(-0.365115\pi\) |
0.811872 | + | 0.583835i | \(0.198449\pi\) | |||||||
\(332\) | −3.94241 | −0.216368 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −15.0171 | −0.821699 | ||||||||
\(335\) | −11.4251 | + | 3.06136i | −0.624222 | + | 0.167260i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.497068 | − | 0.286982i | 0.0270770 | − | 0.0156329i | −0.486400 | − | 0.873736i | \(-0.661690\pi\) |
0.513477 | + | 0.858103i | \(0.328357\pi\) | |||||||
\(338\) | −12.5459 | − | 3.36166i | −0.682405 | − | 0.182850i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.39614 | − | 2.41819i | −0.0757165 | − | 0.131145i | ||||
\(341\) | 33.7176 | − | 33.7176i | 1.82591 | − | 1.82591i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −19.3347 | −1.04397 | ||||||||
\(344\) | −3.16868 | −0.170844 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.476751 | + | 1.77926i | −0.0256303 | + | 0.0956536i | ||||
\(347\) | −8.37128 | − | 8.37128i | −0.449394 | − | 0.449394i | 0.445759 | − | 0.895153i | \(-0.352934\pi\) |
−0.895153 | + | 0.445759i | \(0.852934\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.94253 | − | 10.2928i | 0.318096 | − | 0.550959i | −0.661995 | − | 0.749509i | \(-0.730290\pi\) |
0.980091 | + | 0.198550i | \(0.0636231\pi\) | |||||||
\(350\) | −2.02821 | − | 7.56936i | −0.108412 | − | 0.404600i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.29000 | − | 4.81433i | 0.0687571 | − | 0.256605i | ||||
\(353\) | 20.0086 | − | 5.36130i | 1.06495 | − | 0.285353i | 0.316535 | − | 0.948581i | \(-0.397481\pi\) |
0.748417 | + | 0.663228i | \(0.230814\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 4.42851 | − | 1.18662i | 0.235041 | − | 0.0629791i | ||||
\(356\) | −4.21537 | + | 4.21537i | −0.223414 | + | 0.223414i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.94987 | − | 2.28046i | −0.208757 | − | 0.120526i | ||||
\(359\) | − | 14.1435i | − | 0.746464i | −0.927738 | − | 0.373232i | \(-0.878249\pi\) | ||
0.927738 | − | 0.373232i | \(-0.121751\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −46.9152 | − | 27.0865i | −2.46922 | − | 1.42560i | ||||
\(362\) | 15.9235 | + | 15.9235i | 0.836922 | + | 0.836922i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.136264 | + | 0.136264i | −0.00714220 | + | 0.00714220i | ||||
\(365\) | −0.596348 | + | 2.22560i | −0.0312143 | + | 0.116493i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5.73783 | + | 9.93821i | 0.299512 | + | 0.518771i | 0.976024 | − | 0.217661i | \(-0.0698427\pi\) |
−0.676512 | + | 0.736432i | \(0.736509\pi\) | |||||||
\(368\) | 2.19509 | + | 8.19220i | 0.114427 | + | 0.427048i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.38000 | + | 3.43528i | −0.175718 | + | 0.178592i | ||||
\(371\) | 2.00819i | 0.104260i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −12.4379 | + | 7.18105i | −0.644012 | + | 0.371820i | −0.786158 | − | 0.618025i | \(-0.787933\pi\) |
0.142146 | + | 0.989846i | \(0.454600\pi\) | |||||||
\(374\) | −8.78294 | − | 15.2125i | −0.454155 | − | 0.786620i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.10433 | + | 6.10433i | 0.314807 | + | 0.314807i | ||||
\(377\) | 0.529724 | − | 0.305836i | 0.0272822 | − | 0.0157514i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 9.82685 | − | 17.0206i | 0.504771 | − | 0.874289i | −0.495214 | − | 0.868771i | \(-0.664910\pi\) |
0.999985 | − | 0.00551811i | \(-0.00175648\pi\) | |||||||
\(380\) | − | 6.77732i | − | 0.347669i | ||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.832151 | + | 1.44133i | −0.0425766 | + | 0.0737448i | ||||
\(383\) | 6.70238 | + | 1.79590i | 0.342476 | + | 0.0917660i | 0.425957 | − | 0.904743i | \(-0.359937\pi\) |
−0.0834818 | + | 0.996509i | \(0.526604\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.83180 | + | 6.83638i | 0.0933573 | + | 0.348414i | ||||
\(386\) | −10.1196 | − | 5.84257i | −0.515076 | − | 0.297379i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −1.14977 | − | 0.308079i | −0.0583706 | − | 0.0156403i | ||||
\(389\) | −14.8872 | − | 3.98900i | −0.754809 | − | 0.202251i | −0.139159 | − | 0.990270i | \(-0.544440\pi\) |
−0.615650 | + | 0.788020i | \(0.711107\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 25.8860 | + | 14.9453i | 1.30911 | + | 0.755816i | ||||
\(392\) | 0.980331 | + | 3.65864i | 0.0495142 | + | 0.184789i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −10.1989 | − | 2.73279i | −0.513814 | − | 0.137676i | ||||
\(395\) | −0.0425934 | + | 0.0737740i | −0.00214311 | + | 0.00371197i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 15.0940i | 0.757546i | 0.925490 | + | 0.378773i | \(0.123654\pi\) | ||||
−0.925490 | + | 0.378773i | \(0.876346\pi\) | |||||||
\(398\) | −11.7612 | + | 20.3711i | −0.589538 | + | 1.02111i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.78651 | + | 2.18614i | −0.189325 | + | 0.109307i | ||||
\(401\) | −11.2363 | − | 11.2363i | −0.561116 | − | 0.561116i | 0.368508 | − | 0.929624i | \(-0.379869\pi\) |
−0.929624 | + | 0.368508i | \(0.879869\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.514326 | + | 0.890839i | 0.0256204 | + | 0.0443758i | ||||
\(404\) | 3.18684 | − | 1.83992i | 0.158551 | − | 0.0915395i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 10.1962i | 0.506027i | ||||||||
\(407\) | −21.2631 | + | 21.6109i | −1.05397 | + | 1.07121i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5.55070 | − | 20.7155i | −0.274464 | − | 1.02432i | −0.956199 | − | 0.292716i | \(-0.905441\pi\) |
0.681735 | − | 0.731599i | \(-0.261226\pi\) | |||||||
\(410\) | 3.58230 | + | 6.20473i | 0.176917 | + | 0.306430i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.52601 | − | 5.69516i | 0.0751813 | − | 0.280580i | ||||
\(413\) | −14.9861 | + | 14.9861i | −0.737415 | + | 0.737415i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.20866 | − | 2.20866i | −0.108419 | − | 0.108419i | ||||
\(416\) | 0.0931152 | + | 0.0537601i | 0.00456535 | + | 0.00263580i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 42.6352i | − | 2.08535i | ||||||
\(419\) | −16.1336 | − | 9.31474i | −0.788178 | − | 0.455055i | 0.0511427 | − | 0.998691i | \(-0.483714\pi\) |
−0.839321 | + | 0.543637i | \(0.817047\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 18.9146 | − | 18.9146i | 0.921842 | − | 0.921842i | −0.0753175 | − | 0.997160i | \(-0.523997\pi\) |
0.997160 | + | 0.0753175i | \(0.0239970\pi\) | |||||||
\(422\) | 22.6655 | − | 6.07320i | 1.10334 | − | 0.295639i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.08228 | − | 0.289997i | 0.0525604 | − | 0.0140835i | ||||
\(425\) | −3.98825 | + | 14.8843i | −0.193458 | + | 0.721996i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.985536 | + | 3.67807i | 0.0476934 | + | 0.177994i | ||||
\(428\) | 3.79878 | − | 6.57967i | 0.183621 | − | 0.318041i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −1.77520 | − | 1.77520i | −0.0856075 | − | 0.0856075i | ||||
\(431\) | 0.477908 | − | 1.78358i | 0.0230200 | − | 0.0859118i | −0.953460 | − | 0.301519i | \(-0.902506\pi\) |
0.976480 | + | 0.215607i | \(0.0691730\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −23.4164 | −1.12532 | −0.562660 | − | 0.826689i | \(-0.690222\pi\) | ||||
−0.562660 | + | 0.826689i | \(0.690222\pi\) | |||||||
\(434\) | −17.1469 | −0.823079 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.950599 | + | 0.950599i | −0.0455255 | + | 0.0455255i | ||||
\(437\) | 36.2746 | + | 62.8294i | 1.73525 | + | 3.00554i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 13.0416 | + | 3.49449i | 0.622441 | + | 0.166783i | 0.556237 | − | 0.831023i | \(-0.312245\pi\) |
0.0662040 | + | 0.997806i | \(0.478911\pi\) | |||||||
\(440\) | 3.41984 | − | 1.97445i | 0.163034 | − | 0.0941280i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.366025 | − | 0.0980762i | 0.0174101 | − | 0.00466501i | ||||
\(443\) | −12.3490 | −0.586718 | −0.293359 | − | 0.956002i | \(-0.594773\pi\) | ||||
−0.293359 | + | 0.956002i | \(0.594773\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.72317 | −0.223900 | ||||||||
\(446\) | 19.4390 | − | 5.20868i | 0.920465 | − | 0.246638i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −1.55217 | + | 0.896143i | −0.0733330 | + | 0.0423388i | ||||
\(449\) | 8.02367 | + | 2.14994i | 0.378660 | + | 0.101462i | 0.443129 | − | 0.896458i | \(-0.353868\pi\) |
−0.0644684 | + | 0.997920i | \(0.520535\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 22.5358 | + | 39.0331i | 1.06117 | + | 1.83800i | ||||
\(452\) | 13.7809 | − | 13.7809i | 0.648199 | − | 0.648199i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 27.6463 | 1.29750 | ||||||||
\(455\) | −0.152679 | −0.00715771 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.24444 | − | 23.3045i | 0.292102 | − | 1.09014i | −0.651389 | − | 0.758744i | \(-0.725813\pi\) |
0.943491 | − | 0.331397i | \(-0.107520\pi\) | |||||||
\(458\) | −4.42277 | − | 4.42277i | −0.206662 | − | 0.206662i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.35977 | + | 5.81929i | −0.156650 | + | 0.271326i | ||||
\(461\) | −7.27574 | − | 27.1534i | −0.338865 | − | 1.26466i | −0.899618 | − | 0.436678i | \(-0.856155\pi\) |
0.560753 | − | 0.827983i | \(-0.310512\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.06434 | − | 18.9004i | 0.235360 | − | 0.878375i | −0.742626 | − | 0.669706i | \(-0.766420\pi\) |
0.977986 | − | 0.208669i | \(-0.0669131\pi\) | |||||||
\(464\) | 5.49506 | − | 1.47240i | 0.255102 | − | 0.0683543i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.98697 | + | 1.06831i | −0.184693 | + | 0.0494883i | ||||
\(467\) | −7.16747 | + | 7.16747i | −0.331671 | + | 0.331671i | −0.853221 | − | 0.521550i | \(-0.825354\pi\) |
0.521550 | + | 0.853221i | \(0.325354\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 23.1725 | + | 13.3787i | 1.07001 | + | 0.617769i | ||||
\(470\) | 6.83968i | 0.315491i | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 10.2406 | + | 5.91241i | 0.471362 | + | 0.272141i | ||||
\(473\) | −11.1675 | − | 11.1675i | −0.513482 | − | 0.513482i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −26.4465 | + | 26.4465i | −1.21345 | + | 1.21345i | ||||
\(476\) | −1.63486 | + | 6.10139i | −0.0749338 | + | 0.279657i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 13.9947 | + | 24.2395i | 0.640102 | + | 1.10869i | ||||
\(479\) | 4.30956 | + | 16.0835i | 0.196909 | + | 0.734874i | 0.991764 | + | 0.128075i | \(0.0408800\pi\) |
−0.794855 | + | 0.606799i | \(0.792453\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.331593 | − | 0.563727i | −0.0151193 | − | 0.0257037i | ||||
\(482\) | 12.9489i | 0.589808i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 11.9874 | − | 6.92096i | 0.544884 | − | 0.314589i | ||||
\(485\) | −0.471540 | − | 0.816731i | −0.0214115 | − | 0.0370858i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −2.35061 | − | 2.35061i | −0.106516 | − | 0.106516i | 0.651840 | − | 0.758356i | \(-0.273997\pi\) |
−0.758356 | + | 0.651840i | \(0.773997\pi\) | |||||||
\(488\) | 1.83992 | − | 1.06228i | 0.0832893 | − | 0.0480871i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −1.50048 | + | 2.59890i | −0.0677846 | + | 0.117406i | ||||
\(491\) | − | 21.6729i | − | 0.978086i | −0.872260 | − | 0.489043i | \(-0.837346\pi\) | ||
0.872260 | − | 0.489043i | \(-0.162654\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.0248 | − | 17.3635i | 0.451495 | − | 0.782012i | ||||
\(494\) | 0.888401 | + | 0.238046i | 0.0399710 | + | 0.0107102i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.47614 | + | 9.24107i | 0.111182 | + | 0.414936i | ||||
\(497\) | −8.98193 | − | 5.18572i | −0.402895 | − | 0.232611i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.7053 | − | 3.40437i | −0.568766 | − | 0.152400i | −0.0370355 | − | 0.999314i | \(-0.511791\pi\) |
−0.531731 | + | 0.846914i | \(0.678458\pi\) | |||||||
\(500\) | −7.17252 | − | 1.92187i | −0.320765 | − | 0.0859487i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 10.1671 | + | 5.86999i | 0.453781 | + | 0.261991i | ||||
\(503\) | −5.22764 | − | 19.5098i | −0.233089 | − | 0.869900i | −0.979001 | − | 0.203855i | \(-0.934653\pi\) |
0.745912 | − | 0.666045i | \(-0.232014\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.81615 | + | 0.754585i | 0.125317 | + | 0.0335786i | ||||
\(506\) | −21.1358 | + | 36.6083i | −0.939603 | + | 1.62744i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.56385i | 0.424327i | ||||||||
\(509\) | 12.2010 | − | 21.1327i | 0.540799 | − | 0.936691i | −0.458060 | − | 0.888921i | \(-0.651455\pi\) |
0.998858 | − | 0.0477694i | \(-0.0152113\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 4.51398 | − | 2.60615i | 0.199687 | − | 0.115289i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 9.08963 | + | 15.7437i | 0.400926 | + | 0.694425i | ||||
\(515\) | 4.04553 | − | 2.33569i | 0.178267 | − | 0.102923i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 43.0275i | 1.89235i | ||||||||
\(518\) | 10.9017 | − | 0.0884251i | 0.478993 | − | 0.00388518i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.0220480 | + | 0.0822842i | 0.000966868 | + | 0.00360840i | ||||
\(521\) | 4.59382 | + | 7.95672i | 0.201259 | + | 0.348590i | 0.948934 | − | 0.315474i | \(-0.102163\pi\) |
−0.747676 | + | 0.664064i | \(0.768830\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.67977 | − | 17.4652i | 0.204632 | − | 0.763698i | −0.784929 | − | 0.619586i | \(-0.787301\pi\) |
0.989561 | − | 0.144112i | \(-0.0460326\pi\) | |||||||
\(524\) | −6.44488 | + | 6.44488i | −0.281546 | + | 0.281546i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −13.1294 | − | 13.1294i | −0.572467 | − | 0.572467i | ||||
\(527\) | 29.2003 | + | 16.8588i | 1.27198 | + | 0.734380i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 48.9306i | − | 2.12742i | ||||||
\(530\) | 0.768795 | + | 0.443864i | 0.0333943 | + | 0.0192802i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.8410 | + | 10.8410i | −0.470015 | + | 0.470015i | ||||
\(533\) | −0.939169 | + | 0.251650i | −0.0406799 | + | 0.0109002i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.81433 | − | 1.55795i | 0.251376 | − | 0.0673559i | ||||
\(536\) | 3.86395 | − | 14.4205i | 0.166897 | − | 0.622869i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.18204 | − | 4.41142i | −0.0509612 | − | 0.190190i | ||||
\(539\) | −9.43928 | + | 16.3493i | −0.406579 | + | 0.704215i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.60437 | − | 2.60437i | −0.111971 | − | 0.111971i | 0.648902 | − | 0.760872i | \(-0.275229\pi\) |
−0.760872 | + | 0.648902i | \(0.775229\pi\) | |||||||
\(542\) | −1.21528 | + | 4.53547i | −0.0522006 | + | 0.194815i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 3.52434 | 0.151105 | ||||||||
\(545\) | −1.06511 | −0.0456244 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.6204 | + | 26.6204i | −1.13821 | + | 1.13821i | −0.149434 | + | 0.988772i | \(0.547745\pi\) |
−0.988772 | + | 0.149434i | \(0.952255\pi\) | |||||||
\(548\) | 8.68540 | + | 15.0436i | 0.371022 | + | 0.642629i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −21.0496 | − | 5.64023i | −0.897559 | − | 0.240500i | ||||
\(551\) | 42.1439 | − | 24.3318i | 1.79539 | − | 1.03657i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.186141 | − | 0.0498762i | 0.00791551 | − | 0.00212095i | ||||
\(554\) | −19.0801 | −0.810637 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 18.3742 | 0.779239 | ||||||||
\(557\) | −22.5007 | + | 6.02905i | −0.953386 | + | 0.255459i | −0.701798 | − | 0.712376i | \(-0.747619\pi\) |
−0.251587 | + | 0.967835i | \(0.580953\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.295052 | − | 0.170349i | 0.0124794 | − | 0.00720498i | ||||
\(560\) | −1.37162 | − | 0.367525i | −0.0579615 | − | 0.0155307i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −11.8013 | − | 20.4405i | −0.497808 | − | 0.862229i | ||||
\(563\) | 2.51051 | − | 2.51051i | 0.105805 | − | 0.105805i | −0.652222 | − | 0.758028i | \(-0.726163\pi\) |
0.758028 | + | 0.652222i | \(0.226163\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 15.4410 | 0.649607 | ||||||||
\(566\) | 6.60096 | 0.277459 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −1.49771 | + | 5.58953i | −0.0628425 | + | 0.234531i | ||||
\(569\) | 14.5450 | + | 14.5450i | 0.609760 | + | 0.609760i | 0.942883 | − | 0.333123i | \(-0.108102\pi\) |
−0.333123 | + | 0.942883i | \(0.608102\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.7795 | + | 27.3309i | −0.660353 | + | 1.14376i | 0.320170 | + | 0.947360i | \(0.396260\pi\) |
−0.980523 | + | 0.196404i | \(0.937074\pi\) | |||||||
\(572\) | 0.138701 | + | 0.517638i | 0.00579937 | + | 0.0216435i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.19482 | − | 15.6553i | 0.175089 | − | 0.653439i | ||||
\(575\) | 35.8186 | − | 9.59757i | 1.49374 | − | 0.400246i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −32.2224 | + | 8.63397i | −1.34144 | + | 0.359437i | −0.856967 | − | 0.515371i | \(-0.827654\pi\) |
−0.484470 | + | 0.874808i | \(0.660988\pi\) | |||||||
\(578\) | −3.23787 | + | 3.23787i | −0.134678 | + | 0.134678i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 3.90339 | + | 2.25362i | 0.162079 | + | 0.0935766i | ||||
\(581\) | 7.06594i | 0.293144i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.83638 | + | 2.79229i | 0.200303 | + | 0.115645i | ||||
\(584\) | −2.05639 | − | 2.05639i | −0.0850942 | − | 0.0850942i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −0.476039 | + | 0.476039i | −0.0196650 | + | 0.0196650i | ||||
\(587\) | 3.35254 | − | 12.5119i | 0.138374 | − | 0.516420i | −0.861587 | − | 0.507610i | \(-0.830529\pi\) |
0.999961 | − | 0.00880962i | \(-0.00280423\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 40.9189 | + | 70.8736i | 1.68603 | + | 2.92030i | ||||
\(590\) | 2.42479 | + | 9.04942i | 0.0998269 | + | 0.372559i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −1.62194 | − | 5.86253i | −0.0666613 | − | 0.240949i | ||||
\(593\) | 3.82605i | 0.157117i | 0.996910 | + | 0.0785584i | \(0.0250317\pi\) | ||||
−0.996910 | + | 0.0785584i | \(0.974968\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.33409 | + | 2.50229i | −0.177680 | + | 0.102584i | ||||
\(596\) | 0.603091 | + | 1.04458i | 0.0247036 | + | 0.0427879i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.644810 | − | 0.644810i | −0.0263682 | − | 0.0263682i | ||||
\(599\) | −21.0110 | + | 12.1307i | −0.858486 | + | 0.495647i | −0.863505 | − | 0.504340i | \(-0.831736\pi\) |
0.00501889 | + | 0.999987i | \(0.498402\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.3406 | + | 26.5707i | −0.625757 | + | 1.08384i | 0.362637 | + | 0.931930i | \(0.381876\pi\) |
−0.988394 | + | 0.151912i | \(0.951457\pi\) | |||||||
\(602\) | 5.67919i | 0.231466i | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 3.49819 | − | 6.05904i | 0.142339 | − | 0.246539i | ||||
\(605\) | 10.5931 | + | 2.83841i | 0.430670 | + | 0.115398i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.36991 | + | 12.5767i | 0.136780 | + | 0.510471i | 0.999984 | + | 0.00561578i | \(0.00178757\pi\) |
−0.863204 | + | 0.504856i | \(0.831546\pi\) | |||||||
\(608\) | 7.40808 | + | 4.27706i | 0.300437 | + | 0.173458i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.62590 | + | 0.435660i | 0.0658309 | + | 0.0176393i | ||||
\(611\) | −0.896575 | − | 0.240237i | −0.0362716 | − | 0.00971894i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 2.61099 | + | 1.50746i | 0.105457 | + | 0.0608856i | 0.551801 | − | 0.833976i | \(-0.313941\pi\) |
−0.446344 | + | 0.894862i | \(0.647274\pi\) | |||||||
\(614\) | −1.40866 | − | 5.25718i | −0.0568487 | − | 0.212162i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −8.62867 | − | 2.31205i | −0.347659 | − | 0.0931550i | ||||
\(617\) | 18.8360 | − | 32.6249i | 0.758308 | − | 1.31343i | −0.185405 | − | 0.982662i | \(-0.559360\pi\) |
0.943713 | − | 0.330765i | \(-0.107307\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 22.5053i | − | 0.904563i | −0.891875 | − | 0.452281i | \(-0.850610\pi\) | ||
0.891875 | − | 0.452281i | \(-0.149390\pi\) | |||||||
\(620\) | −3.78993 | + | 6.56435i | −0.152207 | + | 0.263631i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −9.35687 | + | 5.40219i | −0.375176 | + | 0.216608i | ||||
\(623\) | 7.55515 | + | 7.55515i | 0.302691 | + | 0.302691i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 7.98913 | + | 13.8376i | 0.319565 | + | 0.553503i | ||||
\(626\) | 2.81186 | − | 1.62343i | 0.112385 | − | 0.0648853i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 17.4364i | 0.695788i | ||||||||
\(629\) | −18.6519 | − | 10.5679i | −0.743701 | − | 0.421371i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.374964 | + | 1.39938i | 0.0149271 | + | 0.0557086i | 0.972988 | − | 0.230857i | \(-0.0741530\pi\) |
−0.958061 | + | 0.286566i | \(0.907486\pi\) | |||||||
\(632\) | −0.0537601 | − | 0.0931152i | −0.00213846 | − | 0.00370392i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.02219 | − | 11.2790i | 0.120026 | − | 0.447944i | ||||
\(635\) | −5.35797 | + | 5.35797i | −0.212625 | + | 0.212625i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.287973 | − | 0.287973i | −0.0114099 | − | 0.0114099i | ||||
\(638\) | 24.5557 | + | 14.1772i | 0.972169 | + | 0.561282i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.792287i | 0.0313179i | ||||||||
\(641\) | −9.43096 | − | 5.44497i | −0.372500 | − | 0.215063i | 0.302050 | − | 0.953292i | \(-0.402329\pi\) |
−0.674550 | + | 0.738229i | \(0.735662\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.0252 | − | 17.0252i | 0.671409 | − | 0.671409i | −0.286632 | − | 0.958041i | \(-0.592536\pi\) |
0.958041 | + | 0.286632i | \(0.0925357\pi\) | |||||||
\(644\) | 14.6828 | − | 3.93424i | 0.578583 | − | 0.155031i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 29.1204 | − | 7.80277i | 1.14572 | − | 0.306996i | ||||
\(647\) | 4.01905 | − | 14.9993i | 0.158005 | − | 0.589683i | −0.840824 | − | 0.541308i | \(-0.817929\pi\) |
0.998829 | − | 0.0483749i | \(-0.0154042\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.2540 | + | 56.9287i | 0.598771 | + | 2.23465i | ||||
\(650\) | 0.235054 | − | 0.407126i | 0.00921958 | − | 0.0159688i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.1691 | + | 10.1691i | 0.398255 | + | 0.398255i | ||||
\(653\) | −0.221964 | + | 0.828380i | −0.00868611 | + | 0.0324170i | −0.970133 | − | 0.242574i | \(-0.922008\pi\) |
0.961447 | + | 0.274991i | \(0.0886749\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.22125 | −0.282158 | ||||||||
\(656\) | −9.04295 | −0.353068 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 10.9407 | − | 10.9407i | 0.426513 | − | 0.426513i | ||||
\(659\) | 2.26089 | + | 3.91597i | 0.0880717 | + | 0.152545i | 0.906696 | − | 0.421785i | \(-0.138596\pi\) |
−0.818624 | + | 0.574329i | \(0.805263\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −47.2167 | − | 12.6517i | −1.83652 | − | 0.492093i | −0.837957 | − | 0.545736i | \(-0.816250\pi\) |
−0.998560 | + | 0.0536429i | \(0.982917\pi\) | |||||||
\(662\) | −19.9502 | + | 11.5183i | −0.775387 | + | 0.447670i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.80808 | − | 1.02037i | 0.147782 | − | 0.0395981i | ||||
\(665\) | −12.1469 | −0.471036 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −48.2487 | −1.86820 | ||||||||
\(668\) | 14.5054 | − | 3.88671i | 0.561231 | − | 0.150381i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 10.2435 | − | 5.91409i | 0.395741 | − | 0.228481i | ||||
\(671\) | 10.2283 | + | 2.74067i | 0.394861 | + | 0.105803i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.7612 | + | 22.1031i | 0.491909 | + | 0.852012i | 0.999957 | − | 0.00931715i | \(-0.00296578\pi\) |
−0.508047 | + | 0.861329i | \(0.669632\pi\) | |||||||
\(674\) | −0.405854 | + | 0.405854i | −0.0156329 | + | 0.0156329i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 12.9884 | 0.499555 | ||||||||
\(677\) | 12.0765 | 0.464139 | 0.232070 | − | 0.972699i | \(-0.425450\pi\) | ||||
0.232070 | + | 0.972699i | \(0.425450\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.552166 | + | 2.06071i | −0.0211902 | + | 0.0790829i | ||||
\(680\) | 1.97445 | + | 1.97445i | 0.0757165 | + | 0.0757165i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −23.8419 | + | 41.2954i | −0.912954 | + | 1.58128i | ||||
\(683\) | −8.08028 | − | 30.1560i | −0.309183 | − | 1.15389i | −0.929284 | − | 0.369366i | \(-0.879575\pi\) |
0.620101 | − | 0.784522i | \(-0.287092\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.56204 | + | 13.2937i | −0.136099 | + | 0.507927i | ||||
\(686\) | 18.6759 | − | 5.00418i | 0.713047 | − | 0.191060i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 3.06071 | − | 0.820115i | 0.116689 | − | 0.0312666i | ||||
\(689\) | −0.0851868 | + | 0.0851868i | −0.00324536 | + | 0.00324536i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 8.41072 | + | 4.85593i | 0.319959 | + | 0.184728i | 0.651374 | − | 0.758757i | \(-0.274193\pi\) |
−0.331415 | + | 0.943485i | \(0.607526\pi\) | |||||||
\(692\) | − | 1.84203i | − | 0.0700233i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 10.2527 | + | 5.91939i | 0.389187 | + | 0.224697i | ||||
\(695\) | 10.2938 | + | 10.2938i | 0.390466 | + | 0.390466i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −22.5358 | + | 22.5358i | −0.853603 | + | 0.853603i | ||||
\(698\) | −3.07608 | + | 11.4801i | −0.116431 | + | 0.434528i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.91819 | + | 6.78651i | 0.148094 | + | 0.256506i | ||||
\(701\) | −2.50113 | − | 9.33433i | −0.0944662 | − | 0.352553i | 0.902472 | − | 0.430749i | \(-0.141751\pi\) |
−0.996938 | + | 0.0781963i | \(0.975084\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.3810 | − | 44.8491i | −0.994977 | − | 1.69152i | ||||
\(704\) | 4.98417i | 0.187848i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −17.9392 | + | 10.3572i | −0.675153 | + | 0.389800i | ||||
\(707\) | −3.29767 | − | 5.71173i | −0.124022 | − | 0.214812i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −22.0107 | − | 22.0107i | −0.826630 | − | 0.826630i | 0.160419 | − | 0.987049i | \(-0.448715\pi\) |
−0.987049 | + | 0.160419i | \(0.948715\pi\) | |||||||
\(710\) | −3.97050 | + | 2.29237i | −0.149010 | + | 0.0860310i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.98072 | − | 5.16275i | 0.111707 | − | 0.193482i | ||||
\(713\) | − | 81.1401i | − | 3.03872i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.212293 | + | 0.367702i | −0.00793930 | + | 0.0137513i | ||||
\(716\) | 4.40551 | + | 1.18045i | 0.164642 | + | 0.0441156i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3.66060 | + | 13.6616i | 0.136612 | + | 0.509845i | ||||
\(719\) | 41.0502 | + | 23.7004i | 1.53091 | + | 0.883874i | 0.999320 | + | 0.0368750i | \(0.0117403\pi\) |
0.531595 | + | 0.846999i | \(0.321593\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −10.2074 | − | 2.73506i | −0.380142 | − | 0.101859i | ||||
\(722\) | 52.3271 | + | 14.0210i | 1.94741 | + | 0.521807i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −19.5023 | − | 11.2596i | −0.724795 | − | 0.418461i | ||||
\(725\) | −6.43773 | − | 24.0260i | −0.239091 | − | 0.892302i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.1143 | − | 2.71013i | −0.375120 | − | 0.100513i | 0.0663327 | − | 0.997798i | \(-0.478870\pi\) |
−0.441453 | + | 0.897284i | \(0.645537\pi\) | |||||||
\(728\) | 0.0963535 | − | 0.166889i | 0.00357110 | − | 0.00618532i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | − | 2.30411i | − | 0.0852790i | ||||||
\(731\) | 5.58375 | − | 9.67134i | 0.206523 | − | 0.357708i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 20.0631 | − | 11.5834i | 0.741048 | − | 0.427844i | −0.0814022 | − | 0.996681i | \(-0.525940\pi\) |
0.822450 | + | 0.568837i | \(0.192606\pi\) | |||||||
\(734\) | −8.11452 | − | 8.11452i | −0.299512 | − | 0.299512i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.24060 | − | 7.34493i | −0.156310 | − | 0.270738i | ||||
\(737\) | 64.4404 | − | 37.2047i | 2.37369 | − | 1.37045i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 31.6978i | 1.16602i | 0.812464 | + | 0.583011i | \(0.198126\pi\) | ||||
−0.812464 | + | 0.583011i | \(0.801874\pi\) | |||||||
\(740\) | 2.37572 | − | 4.19304i | 0.0873330 | − | 0.154139i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −0.519758 | − | 1.93976i | −0.0190809 | − | 0.0712110i | ||||
\(743\) | −7.17719 | − | 12.4313i | −0.263305 | − | 0.456058i | 0.703813 | − | 0.710385i | \(-0.251479\pi\) |
−0.967118 | + | 0.254327i | \(0.918146\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.247339 | + | 0.923080i | −0.00906178 | + | 0.0338190i | ||||
\(746\) | 10.1555 | − | 10.1555i | 0.371820 | − | 0.371820i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.4210 | + | 12.4210i | 0.454155 | + | 0.454155i | ||||
\(749\) | −11.7927 | − | 6.80850i | −0.430895 | − | 0.248777i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | − | 31.5531i | − | 1.15139i | −0.817665 | − | 0.575694i | \(-0.804732\pi\) | ||
0.817665 | − | 0.575694i | \(-0.195268\pi\) | |||||||
\(752\) | −7.47625 | − | 4.31641i | −0.272631 | − | 0.157403i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.432518 | + | 0.432518i | −0.0157514 | + | 0.0157514i | ||||
\(755\) | 5.35426 | − | 1.43467i | 0.194861 | − | 0.0522129i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.75841 | − | 0.739115i | 0.100256 | − | 0.0268636i | −0.208342 | − | 0.978056i | \(-0.566807\pi\) |
0.308598 | + | 0.951192i | \(0.400140\pi\) | |||||||
\(758\) | −5.08675 | + | 18.9840i | −0.184759 | + | 0.689530i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.75410 | + | 6.54639i | 0.0636279 | + | 0.237462i | ||||
\(761\) | −13.9132 | + | 24.0984i | −0.504354 | + | 0.873567i | 0.495633 | + | 0.868532i | \(0.334936\pi\) |
−0.999987 | + | 0.00503492i | \(0.998397\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.70375 | + | 1.70375i | 0.0616798 | + | 0.0616798i | ||||
\(764\) | 0.430753 | − | 1.60759i | 0.0155841 | − | 0.0581607i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6.93881 | −0.250709 | ||||||||
\(767\) | −1.27141 | −0.0459078 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.45747 | − | 6.45747i | 0.232862 | − | 0.232862i | −0.581024 | − | 0.813886i | \(-0.697348\pi\) |
0.813886 | + | 0.581024i | \(0.197348\pi\) | |||||||
\(770\) | −3.53877 | − | 6.12933i | −0.127528 | − | 0.220886i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 11.2870 | + | 3.02434i | 0.406227 | + | 0.108848i | ||||
\(773\) | −11.2931 | + | 6.52009i | −0.406186 | + | 0.234511i | −0.689149 | − | 0.724619i | \(-0.742016\pi\) |
0.282964 | + | 0.959131i | \(0.408682\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 40.4046 | − | 10.8264i | 1.45137 | − | 0.388895i | ||||
\(776\) | 1.19033 | 0.0427302 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 15.4123 | 0.552559 | ||||||||
\(779\) | −74.7187 | + | 20.0208i | −2.67707 | + | 0.717320i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −24.9778 | + | 14.4210i | −0.893777 | + | 0.516022i | ||||
\(782\) | −28.8721 | − | 7.73625i | −1.03246 | − | 0.276648i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −1.89385 | − | 3.28025i | −0.0676376 | − | 0.117152i | ||||
\(785\) | −9.76842 | + | 9.76842i | −0.348650 | + | 0.348650i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.3019 | 0.438514 | 0.219257 | − | 0.975667i | \(-0.429637\pi\) | ||||
0.219257 | + | 0.975667i | \(0.429637\pi\) | |||||||
\(788\) | 10.5587 | 0.376138 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.0220480 | − | 0.0822842i | 0.000784432 | − | 0.00292754i | ||||
\(791\) | −24.6993 | − | 24.6993i | −0.878207 | − | 0.878207i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.114216 | + | 0.197829i | −0.00405594 | + | 0.00702510i | ||||
\(794\) | −3.90661 | − | 14.5797i | −0.138641 | − | 0.517414i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 6.08806 | − | 22.7210i | 0.215786 | − | 0.805323i | ||||
\(797\) | −16.1588 | + | 4.32974i | −0.572375 | + | 0.153367i | −0.533386 | − | 0.845872i | \(-0.679080\pi\) |
−0.0389893 | + | 0.999240i | \(0.512414\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −29.3883 | + | 7.87457i | −1.03968 | + | 0.278582i | ||||
\(800\) | 3.09167 | − | 3.09167i | 0.109307 | − | 0.109307i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 13.7617 | + | 7.94529i | 0.485941 | + | 0.280558i | ||||
\(803\) | − | 14.4949i | − | 0.511512i | ||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 10.4298 | + | 6.02167i | 0.367604 | + | 0.212236i | ||||
\(806\) | −0.727367 | − | 0.727367i | −0.0256204 | − | 0.0256204i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −2.60204 | + | 2.60204i | −0.0915395 | + | 0.0915395i | ||||
\(809\) | −8.46249 | + | 31.5825i | −0.297525 | + | 1.11038i | 0.641666 | + | 0.766985i | \(0.278244\pi\) |
−0.939191 | + | 0.343395i | \(0.888423\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −13.1780 | − | 22.8250i | −0.462743 | − | 0.801495i | 0.536353 | − | 0.843994i | \(-0.319801\pi\) |
−0.999097 | + | 0.0424987i | \(0.986468\pi\) | |||||||
\(812\) | −2.63896 | − | 9.84873i | −0.0926093 | − | 0.345623i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 14.9453 | − | 26.3778i | 0.523832 | − | 0.924542i | ||||
\(815\) | 11.3942i | 0.399120i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 23.4739 | − | 13.5526i | 0.821247 | − | 0.474147i | ||||
\(818\) | 10.7231 | + | 18.5730i | 0.374925 | + | 0.649390i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −5.06614 | − | 5.06614i | −0.176917 | − | 0.176917i | ||||
\(821\) | −16.7391 | + | 9.66433i | −0.584199 | + | 0.337288i | −0.762800 | − | 0.646634i | \(-0.776176\pi\) |
0.178601 | + | 0.983922i | \(0.442843\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −14.8848 | + | 25.7812i | −0.518852 | + | 0.898678i | 0.480908 | + | 0.876771i | \(0.340307\pi\) |
−0.999760 | + | 0.0219068i | \(0.993026\pi\) | |||||||
\(824\) | 5.89607i | 0.205399i | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.5967 | − | 18.3541i | 0.368708 | − | 0.638620i | ||||
\(827\) | 17.7198 | + | 4.74800i | 0.616177 | + | 0.165104i | 0.553389 | − | 0.832923i | \(-0.313334\pi\) |
0.0627876 | + | 0.998027i | \(0.480001\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −10.3968 | − | 38.8015i | −0.361097 | − | 1.34763i | −0.872636 | − | 0.488372i | \(-0.837591\pi\) |
0.511539 | − | 0.859260i | \(-0.329076\pi\) | |||||||
\(830\) | 2.70505 | + | 1.56176i | 0.0938937 | + | 0.0542095i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −0.103857 | − | 0.0278283i | −0.00360058 | − | 0.000964772i | ||||
\(833\) | −12.8943 | − | 3.45502i | −0.446761 | − | 0.119709i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.3038 | + | 5.94892i | 0.356579 | + | 0.205871i | ||||
\(836\) | 11.0348 | + | 41.1824i | 0.381646 | + | 1.42432i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 17.9947 | + | 4.82166i | 0.621616 | + | 0.166562i | ||||
\(839\) | 8.50761 | − | 14.7356i | 0.293715 | − | 0.508730i | −0.680970 | − | 0.732312i | \(-0.738442\pi\) |
0.974685 | + | 0.223581i | \(0.0717748\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.36365i | 0.115988i | ||||||||
\(842\) | −13.3747 | + | 23.1656i | −0.460921 | + | 0.798339i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −20.3213 | + | 11.7325i | −0.699489 | + | 0.403850i | ||||
\(845\) | 7.27653 | + | 7.27653i | 0.250320 | + | 0.250320i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −12.4043 | − | 21.4849i | −0.426218 | − | 0.738232i | ||||
\(848\) | −0.970349 | + | 0.560232i | −0.0333219 | + | 0.0192384i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | − | 15.4094i | − | 0.528538i | ||||||
\(851\) | 0.418432 | + | 51.5874i | 0.0143437 | + | 1.76839i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.77831 | − | 25.2970i | −0.232085 | − | 0.866153i | −0.979441 | − | 0.201729i | \(-0.935344\pi\) |
0.747356 | − | 0.664423i | \(-0.231323\pi\) | |||||||
\(854\) | −1.90391 | − | 3.29767i | −0.0651504 | − | 0.112844i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.96639 | + | 7.33867i | −0.0672099 | + | 0.250831i | ||||
\(857\) | 19.9710 | − | 19.9710i | 0.682197 | − | 0.682197i | −0.278298 | − | 0.960495i | \(-0.589770\pi\) |
0.960495 | + | 0.278298i | \(0.0897703\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.23411 | + | 7.23411i | 0.246825 | + | 0.246825i | 0.819666 | − | 0.572841i | \(-0.194159\pi\) |
−0.572841 | + | 0.819666i | \(0.694159\pi\) | |||||||
\(860\) | 2.17416 | + | 1.25525i | 0.0741383 | + | 0.0428038i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.84649i | 0.0628918i | ||||||||
\(863\) | 47.0658 | + | 27.1735i | 1.60214 | + | 0.924996i | 0.991059 | + | 0.133427i | \(0.0425983\pi\) |
0.611081 | + | 0.791568i | \(0.290735\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.03196 | − | 1.03196i | 0.0350877 | − | 0.0350877i | ||||
\(866\) | 22.6185 | − | 6.06060i | 0.768607 | − | 0.205948i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 16.5627 | − | 4.43795i | 0.562173 | − | 0.150634i | ||||
\(869\) | 0.138701 | − | 0.517638i | 0.00470510 | − | 0.0175597i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0.415452 | + | 1.55049i | 0.0140771 | + | 0.0525363i | ||||
\(872\) | 0.672175 | − | 1.16424i | 0.0227627 | − | 0.0394262i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −51.3000 | − | 51.3000i | −1.73525 | − | 1.73525i | ||||
\(875\) | −3.44454 | + | 12.8552i | −0.116447 | + | 0.434585i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −35.8379 | −1.21016 | −0.605079 | − | 0.796165i | \(-0.706859\pi\) | ||||
−0.605079 | + | 0.796165i | \(0.706859\pi\) | |||||||
\(878\) | −13.5017 | −0.455659 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.79229 | + | 2.79229i | −0.0941280 | + | 0.0941280i | ||||
\(881\) | −14.6808 | − | 25.4279i | −0.494609 | − | 0.856688i | 0.505371 | − | 0.862902i | \(-0.331355\pi\) |
−0.999981 | + | 0.00621358i | \(0.998022\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 40.8471 | + | 10.9449i | 1.37461 | + | 0.368327i | 0.869162 | − | 0.494528i | \(-0.164659\pi\) |
0.505452 | + | 0.862854i | \(0.331326\pi\) | |||||||
\(884\) | −0.328169 | + | 0.189469i | −0.0110375 | + | 0.00637252i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 11.9282 | − | 3.19615i | 0.400736 | − | 0.107377i | ||||
\(887\) | 29.9674 | 1.00621 | 0.503103 | − | 0.864227i | \(-0.332192\pi\) | ||||
0.503103 | + | 0.864227i | \(0.332192\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 17.1412 | 0.574896 | ||||||||
\(890\) | 4.56223 | − | 1.22245i | 0.152926 | − | 0.0409765i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −17.4286 | + | 10.0624i | −0.583552 | + | 0.336914i | ||||
\(893\) | −71.3300 | − | 19.1128i | −2.38697 | − | 0.639586i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.80678 | + | 3.12943i | 0.0603940 | + | 0.104605i | ||||
\(896\) | 1.26734 | − | 1.26734i | 0.0423388 | − | 0.0423388i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −8.30671 | −0.277199 | ||||||||
\(899\) | −54.4261 | −1.81521 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.02205 | + | 3.81433i | −0.0340494 | + | 0.127074i | ||||
\(902\) | −31.8704 | − | 31.8704i | −1.06117 | − | 1.06117i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −9.74456 | + | 16.8781i | −0.324099 | + | 0.561357i | ||||
\(905\) | −4.61778 | − | 17.2338i | −0.153500 | − | 0.572870i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 3.76598 | − | 14.0548i | 0.125047 | − | 0.466683i | −0.874794 | − | 0.484495i | \(-0.839003\pi\) |
0.999841 | + | 0.0178120i | \(0.00567003\pi\) | |||||||
\(908\) | −26.7043 | + | 7.15539i | −0.886212 | + | 0.237460i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.147477 | − | 0.0395163i | 0.00488881 | − | 0.00130995i | ||||
\(911\) | 3.47075 | − | 3.47075i | 0.114991 | − | 0.114991i | −0.647270 | − | 0.762261i | \(-0.724089\pi\) |
0.762261 | + | 0.647270i | \(0.224089\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 17.0171 | + | 9.82482i | 0.563184 | + | 0.325154i | ||||
\(914\) | 24.1266i | 0.798038i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 5.41676 | + | 3.12737i | 0.178975 | + | 0.103331i | ||||
\(917\) | 11.5511 | + | 11.5511i | 0.381450 | + | 0.381450i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 22.0066 | − | 22.0066i | 0.725932 | − | 0.725932i | −0.243875 | − | 0.969807i | \(-0.578419\pi\) |
0.969807 | + | 0.243875i | \(0.0784186\pi\) | |||||||
\(920\) | 1.73914 | − | 6.49058i | 0.0573379 | − | 0.213988i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 14.0557 | + | 24.3451i | 0.462898 | + | 0.801764i | ||||
\(923\) | −0.161034 | − | 0.600987i | −0.00530050 | − | 0.0197817i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −25.6327 | + | 7.09157i | −0.842796 | + | 0.233169i | ||||
\(926\) | 19.5671i | 0.643015i | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.92674 | + | 2.84445i | −0.161728 | + | 0.0933737i | ||||
\(929\) | −8.13078 | − | 14.0829i | −0.266762 | − | 0.462046i | 0.701262 | − | 0.712904i | \(-0.252621\pi\) |
−0.968024 | + | 0.250858i | \(0.919287\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −22.9106 | − | 22.9106i | −0.750865 | − | 0.750865i | ||||
\(932\) | 3.57462 | − | 2.06381i | 0.117091 | − | 0.0676023i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 5.06817 | − | 8.77833i | 0.165836 | − | 0.287236i | ||||
\(935\) | 13.9172i | 0.455142i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.09651 | + | 14.0236i | −0.264501 | + | 0.458130i | −0.967433 | − | 0.253128i | \(-0.918541\pi\) |
0.702931 | + | 0.711258i | \(0.251874\pi\) | |||||||
\(938\) | −25.8456 | − | 6.92531i | −0.843889 | − | 0.226119i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.77024 | − | 6.60662i | −0.0577388 | − | 0.215484i | ||||
\(941\) | 28.5919 | + | 16.5075i | 0.932068 | + | 0.538130i | 0.887465 | − | 0.460875i | \(-0.152464\pi\) |
0.0446030 | + | 0.999005i | \(0.485798\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 74.0817 | + | 19.8501i | 2.41243 | + | 0.646409i | ||||
\(944\) | −11.4219 | − | 3.06049i | −0.371751 | − | 0.0996104i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.6773 | + | 7.89662i | 0.444689 | + | 0.256741i | ||||
\(947\) | 5.47080 | + | 20.4173i | 0.177777 | + | 0.663474i | 0.996062 | + | 0.0886605i | \(0.0282586\pi\) |
−0.818285 | + | 0.574813i | \(0.805075\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.302033 | + | 0.0809296i | 0.00980442 | + | 0.00262709i | ||||
\(950\) | 18.7005 | − | 32.3902i | 0.606725 | − | 1.05088i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | − | 6.31662i | − | 0.204723i | ||||||
\(953\) | −8.15315 | + | 14.1217i | −0.264106 | + | 0.457446i | −0.967329 | − | 0.253524i | \(-0.918410\pi\) |
0.703223 | + | 0.710970i | \(0.251744\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.14195 | − | 0.659303i | 0.0369525 | − | 0.0213345i | ||||
\(956\) | −19.7915 | − | 19.7915i | −0.640102 | − | 0.640102i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −8.32544 | − | 14.4201i | −0.268983 | − | 0.465892i | ||||
\(959\) | 26.9624 | − | 15.5667i | 0.870661 | − | 0.502676i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 60.5287i | − | 1.95254i | ||||||
\(962\) | 0.466197 | + | 0.458696i | 0.0150308 | + | 0.0147889i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −3.35143 | − | 12.5077i | −0.107942 | − | 0.402847i | ||||
\(965\) | 4.62899 | + | 8.01765i | 0.149013 | + | 0.258097i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.10431 | − | 26.5136i | 0.228459 | − | 0.852621i | −0.752530 | − | 0.658558i | \(-0.771167\pi\) |
0.980989 | − | 0.194063i | \(-0.0621666\pi\) | |||||||
\(968\) | −9.78771 | + | 9.78771i | −0.314589 | + | 0.314589i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.666858 | + | 0.666858i | 0.0214115 | + | 0.0214115i | ||||
\(971\) | −7.18762 | − | 4.14977i | −0.230662 | − | 0.133173i | 0.380216 | − | 0.924898i | \(-0.375850\pi\) |
−0.610877 | + | 0.791725i | \(0.709183\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 32.9318i | − | 1.05575i | ||||||
\(974\) | 2.87890 | + | 1.66213i | 0.0922458 | + | 0.0532582i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.50229 | + | 1.50229i | −0.0480871 | + | 0.0480871i | ||||
\(977\) | −7.66321 | + | 2.05335i | −0.245168 | + | 0.0656925i | −0.379310 | − | 0.925270i | \(-0.623839\pi\) |
0.134142 | + | 0.990962i | \(0.457172\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 28.7003 | − | 7.69023i | 0.917267 | − | 0.245781i | ||||
\(980\) | 0.776703 | − | 2.89870i | 0.0248109 | − | 0.0925955i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 5.60937 | + | 20.9345i | 0.179002 | + | 0.668045i | ||||
\(983\) | 10.1378 | − | 17.5593i | 0.323347 | − | 0.560053i | −0.657830 | − | 0.753167i | \(-0.728525\pi\) |
0.981176 | + | 0.193114i | \(0.0618586\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.91531 | + | 5.91531i | 0.188478 | + | 0.188478i | ||||
\(986\) | −5.18923 | + | 19.3665i | −0.165259 | + | 0.616753i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −0.919740 | −0.0292608 | ||||||||
\(989\) | −26.8742 | −0.854550 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.99520 | + | 4.99520i | −0.158678 | + | 0.158678i | −0.781981 | − | 0.623303i | \(-0.785790\pi\) |
0.623303 | + | 0.781981i | \(0.285790\pi\) | |||||||
\(992\) | −4.78353 | − | 8.28532i | −0.151877 | − | 0.263059i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 10.0180 | + | 2.68433i | 0.317753 | + | 0.0851417i | ||||
\(995\) | 16.1397 | − | 9.31828i | 0.511664 | − | 0.295409i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −53.8898 | + | 14.4397i | −1.70671 | + | 0.457311i | −0.974614 | − | 0.223894i | \(-0.928123\pi\) |
−0.732093 | + | 0.681205i | \(0.761456\pi\) | |||||||
\(998\) | 13.1535 | 0.416366 | ||||||||
\(999\) | 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 | 666.2.be.d.467.2 | yes | 16 | |
3.2 | odd | 2 | inner | 666.2.be.d.467.3 | yes | 16 | |
37.29 | odd | 12 | inner | 666.2.be.d.251.3 | yes | 16 | |
111.29 | even | 12 | inner | 666.2.be.d.251.2 | ✓ | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
666.2.be.d.251.2 | ✓ | 16 | 111.29 | even | 12 | inner | |
666.2.be.d.251.3 | yes | 16 | 37.29 | odd | 12 | inner | |
666.2.be.d.467.2 | yes | 16 | 1.1 | even | 1 | trivial | |
666.2.be.d.467.3 | yes | 16 | 3.2 | odd | 2 | inner |