Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(17,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bg (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 17.12 | ||
Character | \(\chi\) | \(=\) | 441.17 |
Dual form | 441.2.bg.a.26.12 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{25}{42}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.859142 | − | 0.0643838i | 0.607505 | − | 0.0455262i | 0.232574 | − | 0.972579i | \(-0.425285\pi\) |
0.374932 | + | 0.927053i | \(0.377666\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.24368 | + | 0.187455i | −0.621841 | + | 0.0937274i | ||||
\(5\) | −0.593873 | + | 0.551034i | −0.265588 | + | 0.246430i | −0.801713 | − | 0.597709i | \(-0.796078\pi\) |
0.536125 | + | 0.844138i | \(0.319887\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.64451 | − | 0.0809471i | −0.999532 | − | 0.0305951i | ||||
\(8\) | −2.73633 | + | 0.624550i | −0.967439 | + | 0.220812i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.474744 | + | 0.511652i | −0.150127 | + | 0.161799i | ||||
\(11\) | −1.38741 | − | 2.03495i | −0.418319 | − | 0.613562i | 0.558014 | − | 0.829831i | \(-0.311563\pi\) |
−0.976334 | + | 0.216270i | \(0.930611\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.765584 | − | 1.58975i | 0.212335 | − | 0.440918i | −0.767413 | − | 0.641153i | \(-0.778456\pi\) |
0.979748 | + | 0.200235i | \(0.0641707\pi\) | |||||||
\(14\) | −2.27722 | + | 0.100719i | −0.608614 | + | 0.0269182i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.0930170 | − | 0.0286919i | 0.0232542 | − | 0.00717298i | ||||
\(17\) | −1.82925 | − | 4.66086i | −0.443659 | − | 1.13042i | −0.961465 | − | 0.274927i | \(-0.911346\pi\) |
0.517806 | − | 0.855498i | \(-0.326749\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −7.17650 | + | 4.14336i | −1.64640 | + | 0.950551i | −0.667918 | + | 0.744235i | \(0.732814\pi\) |
−0.978485 | + | 0.206316i | \(0.933853\pi\) | |||||||
\(20\) | 0.635295 | − | 0.796635i | 0.142056 | − | 0.178133i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.32300 | − | 1.65899i | −0.282064 | − | 0.353697i | ||||
\(23\) | −8.61741 | − | 3.38208i | −1.79685 | − | 0.705213i | −0.994044 | − | 0.108979i | \(-0.965242\pi\) |
−0.802810 | − | 0.596234i | \(-0.796663\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.324603 | + | 4.33153i | −0.0649207 | + | 0.866306i | ||||
\(26\) | 0.555391 | − | 1.41511i | 0.108921 | − | 0.277527i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 3.30411 | − | 0.395054i | 0.624417 | − | 0.0746582i | ||||
\(29\) | 5.72992 | + | 4.56946i | 1.06402 | + | 0.848527i | 0.988890 | − | 0.148647i | \(-0.0474918\pi\) |
0.0751288 | + | 0.997174i | \(0.476063\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.45706 | + | 4.88268i | 1.51893 | + | 0.876956i | 0.999752 | + | 0.0222913i | \(0.00709614\pi\) |
0.519181 | + | 0.854665i | \(0.326237\pi\) | |||||||
\(32\) | 5.30344 | − | 2.08145i | 0.937524 | − | 0.367951i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.87167 | − | 3.88657i | −0.320989 | − | 0.666541i | ||||
\(35\) | 1.61511 | − | 1.40914i | 0.273003 | − | 0.238189i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.83761 | − | 0.427702i | −0.466501 | − | 0.0703137i | −0.0884141 | − | 0.996084i | \(-0.528180\pi\) |
−0.378087 | + | 0.925770i | \(0.623418\pi\) | |||||||
\(38\) | −5.89887 | + | 4.02178i | −0.956924 | + | 0.652419i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.28089 | − | 1.87871i | 0.202526 | − | 0.297051i | ||||
\(41\) | −0.489533 | − | 2.14478i | −0.0764522 | − | 0.334959i | 0.922209 | − | 0.386692i | \(-0.126382\pi\) |
−0.998661 | + | 0.0517336i | \(0.983525\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.60041 | + | 7.01184i | −0.244060 | + | 1.06930i | 0.693222 | + | 0.720724i | \(0.256190\pi\) |
−0.937282 | + | 0.348572i | \(0.886667\pi\) | |||||||
\(44\) | 2.10696 | + | 2.27076i | 0.317635 | + | 0.342330i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −7.62133 | − | 2.35087i | −1.12370 | − | 0.346617i | ||||
\(47\) | −0.512020 | − | 6.83244i | −0.0746858 | − | 0.996613i | −0.901117 | − | 0.433576i | \(-0.857252\pi\) |
0.826431 | − | 0.563038i | \(-0.190367\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.98690 | + | 0.428131i | 0.998128 | + | 0.0611616i | ||||
\(50\) | 3.74230i | 0.529241i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.654136 | + | 2.12066i | −0.0907124 | + | 0.294082i | ||||
\(53\) | −0.166100 | − | 1.10200i | −0.0228155 | − | 0.151371i | 0.974522 | − | 0.224291i | \(-0.0720065\pi\) |
−0.997338 | + | 0.0729194i | \(0.976768\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.94527 | + | 0.443996i | 0.262300 | + | 0.0598684i | ||||
\(56\) | 7.28682 | − | 1.43013i | 0.973742 | − | 0.191109i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.21701 | + | 3.55690i | 0.685028 | + | 0.467044i | ||||
\(59\) | −2.89579 | − | 2.68690i | −0.377000 | − | 0.349805i | 0.468800 | − | 0.883304i | \(-0.344686\pi\) |
−0.845801 | + | 0.533499i | \(0.820877\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.16627 | − | 7.73769i | 0.149325 | − | 0.990710i | −0.781147 | − | 0.624347i | \(-0.785365\pi\) |
0.930472 | − | 0.366362i | \(-0.119397\pi\) | |||||||
\(62\) | 7.58018 | + | 3.65042i | 0.962684 | + | 0.463604i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4.24699 | − | 2.04524i | 0.530874 | − | 0.255655i | ||||
\(65\) | 0.421347 | + | 1.36597i | 0.0522616 | + | 0.169428i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.774142 | − | 1.34085i | 0.0945765 | − | 0.163811i | −0.814855 | − | 0.579664i | \(-0.803184\pi\) |
0.909432 | + | 0.415853i | \(0.136517\pi\) | |||||||
\(68\) | 3.14871 | + | 5.45372i | 0.381837 | + | 0.661361i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.29688 | − | 1.31464i | 0.155007 | − | 0.157130i | ||||
\(71\) | −10.1939 | + | 8.12937i | −1.20979 | + | 0.964778i | −0.999916 | − | 0.0129496i | \(-0.995878\pi\) |
−0.209877 | + | 0.977728i | \(0.567306\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −10.2762 | − | 0.770098i | −1.20274 | − | 0.0901332i | −0.541760 | − | 0.840533i | \(-0.682242\pi\) |
−0.660984 | + | 0.750400i | \(0.729861\pi\) | |||||||
\(74\) | −2.46545 | − | 0.184760i | −0.286603 | − | 0.0214779i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 8.14859 | − | 6.49829i | 0.934708 | − | 0.745405i | ||||
\(77\) | 3.50429 | + | 5.49377i | 0.399351 | + | 0.626073i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1.36987 | + | 2.37268i | 0.154122 | + | 0.266947i | 0.932739 | − | 0.360552i | \(-0.117412\pi\) |
−0.778617 | + | 0.627500i | \(0.784078\pi\) | |||||||
\(80\) | −0.0394300 | + | 0.0682948i | −0.00440841 | + | 0.00763560i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −0.558668 | − | 1.81116i | −0.0616945 | − | 0.200009i | ||||
\(83\) | 13.7776 | − | 6.63496i | 1.51229 | − | 0.728281i | 0.520228 | − | 0.854027i | \(-0.325847\pi\) |
0.992062 | + | 0.125746i | \(0.0401325\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.65463 | + | 1.75998i | 0.396401 | + | 0.190897i | ||||
\(86\) | −0.923528 | + | 6.12721i | −0.0995866 | + | 0.660714i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.06734 | + | 4.70180i | 0.540180 | + | 0.501214i | ||||
\(89\) | −2.84048 | − | 1.93661i | −0.301090 | − | 0.205280i | 0.403345 | − | 0.915048i | \(-0.367847\pi\) |
−0.704436 | + | 0.709768i | \(0.748800\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.15328 | + | 4.14215i | −0.225725 | + | 0.434215i | ||||
\(92\) | 11.3513 | + | 2.59086i | 1.18346 | + | 0.270116i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.879797 | − | 5.83707i | −0.0907441 | − | 0.602048i | ||||
\(95\) | 1.97880 | − | 6.41512i | 0.203021 | − | 0.658178i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 10.2541i | − | 1.04115i | −0.853817 | − | 0.520574i | \(-0.825718\pi\) | ||
0.853817 | − | 0.520574i | \(-0.174282\pi\) | |||||||
\(98\) | 6.03030 | − | 0.0820171i | 0.609152 | − | 0.00828498i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.408263 | − | 5.44789i | −0.0408263 | − | 0.544789i | ||||
\(101\) | −4.90328 | − | 1.51246i | −0.487895 | − | 0.150496i | 0.0410410 | − | 0.999157i | \(-0.486933\pi\) |
−0.528936 | + | 0.848662i | \(0.677409\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.88896 | − | 5.26904i | −0.481723 | − | 0.519174i | 0.444689 | − | 0.895685i | \(-0.353314\pi\) |
−0.926412 | + | 0.376511i | \(0.877124\pi\) | |||||||
\(104\) | −1.10201 | + | 4.82823i | −0.108061 | + | 0.473447i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.213654 | − | 0.936080i | −0.0207519 | − | 0.0909201i | ||||
\(107\) | −9.16617 | + | 13.4443i | −0.886128 | + | 1.29971i | 0.0671898 | + | 0.997740i | \(0.478597\pi\) |
−0.953317 | + | 0.301970i | \(0.902356\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.56272 | + | 5.15617i | −0.724377 | + | 0.493872i | −0.868501 | − | 0.495688i | \(-0.834916\pi\) |
0.144124 | + | 0.989560i | \(0.453964\pi\) | |||||||
\(110\) | 1.69985 | + | 0.256211i | 0.162074 | + | 0.0244288i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.248307 | + | 0.0683467i | −0.0234628 | + | 0.00645816i | ||||
\(113\) | 4.23491 | + | 8.79389i | 0.398387 | + | 0.827260i | 0.999603 | + | 0.0281729i | \(0.00896891\pi\) |
−0.601216 | + | 0.799087i | \(0.705317\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.98129 | − | 2.73995i | 0.651009 | − | 0.255502i | ||||
\(116\) | −7.98276 | − | 4.60885i | −0.741181 | − | 0.427921i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.66089 | − | 2.12199i | −0.244955 | − | 0.195345i | ||||
\(119\) | 4.46020 | + | 12.4738i | 0.408866 | + | 1.14347i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.80262 | − | 4.59299i | 0.163874 | − | 0.417545i | ||||
\(122\) | 0.503809 | − | 6.72287i | 0.0456127 | − | 0.608660i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −11.4332 | − | 4.48719i | −1.02673 | − | 0.402961i | ||||
\(125\) | −4.71961 | − | 5.91820i | −0.422135 | − | 0.529340i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.51347 | − | 1.89783i | 0.134299 | − | 0.168405i | −0.710135 | − | 0.704066i | \(-0.751366\pi\) |
0.844433 | + | 0.535661i | \(0.179937\pi\) | |||||||
\(128\) | −6.35087 | + | 3.66667i | −0.561343 | + | 0.324091i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.449943 | + | 1.14644i | 0.0394627 | + | 0.100549i | ||||
\(131\) | 4.74729 | − | 1.46434i | 0.414772 | − | 0.127940i | −0.0803437 | − | 0.996767i | \(-0.525602\pi\) |
0.495116 | + | 0.868827i | \(0.335126\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 19.3137 | − | 10.3762i | 1.67471 | − | 0.899734i | ||||
\(134\) | 0.578769 | − | 1.20183i | 0.0499980 | − | 0.103822i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 7.91638 | + | 11.6112i | 0.678824 | + | 0.995652i | ||||
\(137\) | 5.26836 | − | 5.67794i | 0.450106 | − | 0.485099i | −0.466709 | − | 0.884411i | \(-0.654560\pi\) |
0.916815 | + | 0.399312i | \(0.130751\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2.19460 | + | 0.500904i | −0.186144 | + | 0.0424861i | −0.314576 | − | 0.949232i | \(-0.601862\pi\) |
0.128433 | + | 0.991718i | \(0.459005\pi\) | |||||||
\(140\) | −1.74453 | + | 2.05529i | −0.147440 | + | 0.173703i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −8.23461 | + | 7.64060i | −0.691033 | + | 0.641185i | ||||
\(143\) | −4.29725 | + | 0.647706i | −0.359354 | + | 0.0541639i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.92077 | + | 0.443700i | −0.491693 | + | 0.0368473i | ||||
\(146\) | −8.87834 | −0.734777 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.60926 | 0.296680 | ||||||||
\(149\) | −6.31947 | + | 0.473579i | −0.517711 | + | 0.0387971i | −0.331024 | − | 0.943622i | \(-0.607394\pi\) |
−0.186687 | + | 0.982419i | \(0.559775\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −12.0259 | + | 1.81261i | −0.978651 | + | 0.147508i | −0.618840 | − | 0.785517i | \(-0.712397\pi\) |
−0.359811 | + | 0.933025i | \(0.617159\pi\) | |||||||
\(152\) | 17.0496 | − | 15.8197i | 1.38290 | − | 1.28315i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 3.36440 | + | 4.49431i | 0.271111 | + | 0.362162i | ||||
\(155\) | −7.71294 | + | 1.76043i | −0.619518 | + | 0.141401i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.9494 | + | 11.8007i | −0.873860 | + | 0.941797i | −0.998730 | − | 0.0503757i | \(-0.983958\pi\) |
0.124870 | + | 0.992173i | \(0.460149\pi\) | |||||||
\(158\) | 1.32967 | + | 1.95027i | 0.105783 | + | 0.155155i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.00262 | + | 4.15849i | −0.158321 | + | 0.328757i | ||||
\(161\) | 22.5151 | + | 9.64152i | 1.77444 | + | 0.759858i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.61562 | + | 0.806812i | −0.204871 | + | 0.0631944i | −0.395492 | − | 0.918469i | \(-0.629426\pi\) |
0.190621 | + | 0.981664i | \(0.438950\pi\) | |||||||
\(164\) | 1.01087 | + | 2.57566i | 0.0789359 | + | 0.201125i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 11.4098 | − | 6.58743i | 0.885569 | − | 0.511283i | ||||
\(167\) | 1.60920 | − | 2.01788i | 0.124524 | − | 0.156148i | −0.715662 | − | 0.698447i | \(-0.753875\pi\) |
0.840185 | + | 0.542299i | \(0.182446\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.16418 | + | 7.72963i | 0.474167 | + | 0.594587i | ||||
\(170\) | 3.25316 | + | 1.27677i | 0.249506 | + | 0.0979240i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0.675993 | − | 9.02050i | 0.0515440 | − | 0.687807i | ||||
\(173\) | −0.542447 | + | 1.38213i | −0.0412415 | + | 0.105082i | −0.950011 | − | 0.312218i | \(-0.898928\pi\) |
0.908769 | + | 0.417299i | \(0.137023\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.20904 | − | 11.4285i | 0.0913950 | − | 0.863914i | ||||
\(176\) | −0.187439 | − | 0.149478i | −0.0141288 | − | 0.0112673i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −2.56506 | − | 1.48094i | −0.192260 | − | 0.111001i | ||||
\(179\) | −11.1848 | + | 4.38970i | −0.835989 | + | 0.328102i | −0.744432 | − | 0.667698i | \(-0.767280\pi\) |
−0.0915573 | + | 0.995800i | \(0.529184\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.30660 | − | 6.86622i | −0.245778 | − | 0.510362i | 0.741187 | − | 0.671298i | \(-0.234263\pi\) |
−0.986965 | + | 0.160936i | \(0.948549\pi\) | |||||||
\(182\) | −1.58329 | + | 3.69733i | −0.117361 | + | 0.274064i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 25.6924 | + | 3.87250i | 1.89407 | + | 0.285485i | ||||
\(185\) | 1.92086 | − | 1.30962i | 0.141224 | − | 0.0962852i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.94671 | + | 10.1890i | −0.507994 | + | 0.745090i | ||||
\(188\) | 1.91756 | + | 8.40139i | 0.139853 | + | 0.612735i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.28704 | − | 5.63891i | 0.0933719 | − | 0.409089i | ||||
\(191\) | −15.4513 | − | 16.6525i | −1.11802 | − | 1.20494i | −0.976618 | − | 0.214983i | \(-0.931030\pi\) |
−0.141399 | − | 0.989953i | \(-0.545160\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 12.9810 | + | 4.00410i | 0.934391 | + | 0.288222i | 0.724320 | − | 0.689464i | \(-0.242154\pi\) |
0.210072 | + | 0.977686i | \(0.432630\pi\) | |||||||
\(194\) | −0.660199 | − | 8.80974i | −0.0473995 | − | 0.632503i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.76973 | + | 0.777268i | −0.626409 | + | 0.0555191i | ||||
\(197\) | − | 12.0796i | − | 0.860635i | −0.902678 | − | 0.430317i | \(-0.858402\pi\) | ||
0.902678 | − | 0.430317i | \(-0.141598\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.17381 | + | 16.7731i | −0.366762 | + | 1.18901i | 0.564738 | + | 0.825271i | \(0.308977\pi\) |
−0.931500 | + | 0.363743i | \(0.881499\pi\) | |||||||
\(200\) | −1.81703 | − | 12.0552i | −0.128484 | − | 0.852434i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −4.31000 | − | 0.983728i | −0.303250 | − | 0.0692149i | ||||
\(203\) | −14.7830 | − | 12.5478i | −1.03756 | − | 0.880684i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.47257 | + | 1.00398i | 0.102849 | + | 0.0701210i | ||||
\(206\) | −4.53955 | − | 4.21209i | −0.316286 | − | 0.293470i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.0255993 | − | 0.169840i | 0.00177499 | − | 0.0117763i | ||||
\(209\) | 18.3883 | + | 8.85533i | 1.27194 | + | 0.612536i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.2776 | − | 5.43099i | 0.776380 | − | 0.373885i | −0.00335491 | − | 0.999994i | \(-0.501068\pi\) |
0.779735 | + | 0.626109i | \(0.215354\pi\) | |||||||
\(212\) | 0.413150 | + | 1.33940i | 0.0283753 | + | 0.0919903i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −7.00945 | + | 12.1407i | −0.479156 | + | 0.829923i | ||||
\(215\) | −2.91332 | − | 5.04602i | −0.198687 | − | 0.344136i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −21.9696 | − | 13.5969i | −1.49139 | − | 0.923017i | ||||
\(218\) | −6.16548 | + | 4.91680i | −0.417579 | + | 0.333008i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.50253 | − | 0.187539i | −0.168720 | − | 0.0126438i | ||||
\(221\) | −8.81006 | − | 0.660222i | −0.592628 | − | 0.0444114i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.4101 | + | 9.89675i | −0.831044 | + | 0.662736i | −0.943665 | − | 0.330902i | \(-0.892647\pi\) |
0.112621 | + | 0.993638i | \(0.464075\pi\) | |||||||
\(224\) | −14.1935 | + | 5.07511i | −0.948343 | + | 0.339095i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 4.20458 | + | 7.28254i | 0.279684 | + | 0.484428i | ||||
\(227\) | 8.19543 | − | 14.1949i | 0.543950 | − | 0.942149i | −0.454722 | − | 0.890633i | \(-0.650261\pi\) |
0.998672 | − | 0.0515156i | \(-0.0164052\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.29235 | + | 7.43162i | 0.151483 | + | 0.491096i | 0.999227 | − | 0.0393098i | \(-0.0125159\pi\) |
−0.847744 | + | 0.530405i | \(0.822040\pi\) | |||||||
\(230\) | 5.82151 | − | 2.80349i | 0.383859 | − | 0.184857i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −18.5328 | − | 8.92493i | −1.21674 | − | 0.585950i | ||||
\(233\) | −1.84181 | + | 12.2196i | −0.120661 | + | 0.800534i | 0.843867 | + | 0.536553i | \(0.180274\pi\) |
−0.964528 | + | 0.263981i | \(0.914964\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.06898 | + | 3.77546i | 0.265431 | + | 0.246284i | ||||
\(236\) | 4.10512 | + | 2.79882i | 0.267220 | + | 0.182188i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.63505 | + | 10.4296i | 0.300446 | + | 0.676049i | ||||
\(239\) | −16.6387 | − | 3.79768i | −1.07627 | − | 0.245652i | −0.352584 | − | 0.935780i | \(-0.614697\pi\) |
−0.723687 | + | 0.690129i | \(0.757554\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.72358 | − | 11.4352i | −0.111026 | − | 0.736608i | −0.973194 | − | 0.229986i | \(-0.926132\pi\) |
0.862168 | − | 0.506622i | \(-0.169106\pi\) | |||||||
\(242\) | 1.25299 | − | 4.06209i | 0.0805452 | − | 0.261121i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 9.84184i | 0.630060i | ||||||||
\(245\) | −4.38524 | + | 3.59576i | −0.280163 | + | 0.229725i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.09269 | + | 14.5809i | 0.0695263 | + | 0.927763i | ||||
\(248\) | −26.1908 | − | 8.07879i | −1.66312 | − | 0.513004i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.43585 | − | 4.78071i | −0.280548 | − | 0.302359i | ||||
\(251\) | 5.18904 | − | 22.7347i | 0.327529 | − | 1.43500i | −0.496295 | − | 0.868154i | \(-0.665307\pi\) |
0.823825 | − | 0.566845i | \(-0.191836\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.07348 | + | 22.2284i | 0.318967 | + | 1.39749i | ||||
\(254\) | 1.17810 | − | 1.72795i | 0.0739203 | − | 0.108421i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −13.0097 | + | 8.86985i | −0.813105 | + | 0.554366i | ||||
\(257\) | 5.07474 | + | 0.764893i | 0.316553 | + | 0.0477127i | 0.305397 | − | 0.952225i | \(-0.401211\pi\) |
0.0111560 | + | 0.999938i | \(0.496449\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 7.46949 | + | 1.36076i | 0.464131 | + | 0.0845535i | ||||
\(260\) | −0.780080 | − | 1.61985i | −0.0483785 | − | 0.100459i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.98431 | − | 1.56373i | 0.246152 | − | 0.0966074i | ||||
\(263\) | −10.3656 | − | 5.98457i | −0.639169 | − | 0.369025i | 0.145125 | − | 0.989413i | \(-0.453641\pi\) |
−0.784294 | + | 0.620389i | \(0.786975\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.705881 | + | 0.562921i | 0.0433619 | + | 0.0345800i | ||||
\(266\) | 15.9252 | − | 10.1582i | 0.976436 | − | 0.622837i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.711437 | + | 1.81271i | −0.0434579 | + | 0.110729i | ||||
\(269\) | 0.0151990 | − | 0.202817i | 0.000926702 | − | 0.0123660i | −0.996721 | − | 0.0809116i | \(-0.974217\pi\) |
0.997648 | + | 0.0685457i | \(0.0218359\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.03185 | − | 0.797442i | −0.123426 | − | 0.0484411i | 0.302824 | − | 0.953046i | \(-0.402070\pi\) |
−0.426250 | + | 0.904605i | \(0.640166\pi\) | |||||||
\(272\) | −0.303881 | − | 0.381054i | −0.0184255 | − | 0.0231048i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 4.16070 | − | 5.21736i | 0.251357 | − | 0.315192i | ||||
\(275\) | 9.26482 | − | 5.34905i | 0.558690 | − | 0.322560i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.45119 | − | 3.69758i | −0.0871937 | − | 0.222166i | 0.880625 | − | 0.473813i | \(-0.157123\pi\) |
−0.967819 | + | 0.251647i | \(0.919028\pi\) | |||||||
\(278\) | −1.85323 | + | 0.571644i | −0.111149 | + | 0.0342850i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.53939 | + | 4.86460i | −0.211519 | + | 0.290715i | ||||
\(281\) | −2.09431 | + | 4.34887i | −0.124936 | + | 0.259432i | −0.954050 | − | 0.299647i | \(-0.903131\pi\) |
0.829114 | + | 0.559079i | \(0.188845\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.17239 | − | 13.4534i | −0.545242 | − | 0.799723i | 0.450415 | − | 0.892819i | \(-0.351276\pi\) |
−0.995657 | + | 0.0930959i | \(0.970324\pi\) | |||||||
\(284\) | 11.1541 | − | 12.0212i | 0.661873 | − | 0.713329i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.65025 | + | 0.833145i | −0.215844 | + | 0.0492649i | ||||
\(287\) | 1.12096 | + | 5.71153i | 0.0661683 | + | 0.337141i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.91557 | + | 5.48884i | −0.347974 | + | 0.322873i | ||||
\(290\) | −5.05821 | + | 0.762403i | −0.297029 | + | 0.0447699i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 12.9247 | − | 0.968575i | 0.756363 | − | 0.0566816i | ||||
\(293\) | −7.90646 | −0.461900 | −0.230950 | − | 0.972966i | \(-0.574183\pi\) | ||||
−0.230950 | + | 0.972966i | \(0.574183\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.20031 | 0.186329 | ||||||||
\(296\) | 8.03177 | − | 0.601898i | 0.466837 | − | 0.0349846i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.39883 | + | 0.813743i | −0.312746 | + | 0.0471389i | ||||
\(299\) | −11.9740 | + | 11.1103i | −0.692476 | + | 0.642524i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.79988 | − | 18.4133i | 0.276661 | − | 1.06133i | ||||
\(302\) | −10.2152 | + | 2.33156i | −0.587820 | + | 0.134166i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.548656 | + | 0.591310i | −0.0314676 | + | 0.0339140i | ||||
\(305\) | 3.57111 | + | 5.23786i | 0.204481 | + | 0.299919i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 12.8354 | − | 26.6529i | 0.732554 | − | 1.52116i | −0.116693 | − | 0.993168i | \(-0.537229\pi\) |
0.849247 | − | 0.527996i | \(-0.177056\pi\) | |||||||
\(308\) | −5.38806 | − | 6.17560i | −0.307013 | − | 0.351887i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.51317 | + | 2.00905i | −0.369923 | + | 0.114106i | ||||
\(311\) | 12.4989 | + | 31.8466i | 0.708745 | + | 1.80585i | 0.580755 | + | 0.814079i | \(0.302758\pi\) |
0.127991 | + | 0.991775i | \(0.459147\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −5.89721 | + | 3.40475i | −0.333330 | + | 0.192448i | −0.657319 | − | 0.753613i | \(-0.728309\pi\) |
0.323989 | + | 0.946061i | \(0.394976\pi\) | |||||||
\(314\) | −8.64735 | + | 10.8434i | −0.487998 | + | 0.611930i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.14845 | − | 2.69407i | −0.120860 | − | 0.151553i | ||||
\(317\) | 8.30964 | + | 3.26129i | 0.466716 | + | 0.183173i | 0.587033 | − | 0.809563i | \(-0.300296\pi\) |
−0.120317 | + | 0.992736i | \(0.538391\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 1.34890 | − | 17.9998i | 0.0755239 | − | 1.00780i | ||||
\(320\) | −1.39518 | + | 3.55485i | −0.0779927 | + | 0.198722i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 19.9644 | + | 6.83383i | 1.11257 | + | 0.380835i | ||||
\(323\) | 32.4392 | + | 25.8694i | 1.80497 | + | 1.43941i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 6.63755 | + | 3.83219i | 0.368185 | + | 0.212572i | ||||
\(326\) | −2.19524 | + | 0.861570i | −0.121583 | + | 0.0477179i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 2.67905 | + | 5.56310i | 0.147926 | + | 0.307171i | ||||
\(329\) | 0.800978 | + | 18.1099i | 0.0441594 | + | 0.998432i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.236178 | + | 0.0355981i | 0.0129815 | + | 0.00195665i | 0.155530 | − | 0.987831i | \(-0.450292\pi\) |
−0.142548 | + | 0.989788i | \(0.545530\pi\) | |||||||
\(332\) | −15.8912 | + | 10.8345i | −0.872144 | + | 0.594618i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.25262 | − | 1.83725i | 0.0685401 | − | 0.100530i | ||||
\(335\) | 0.279113 | + | 1.22288i | 0.0152496 | + | 0.0668128i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 3.17938 | − | 13.9298i | 0.173192 | − | 0.758803i | −0.811479 | − | 0.584381i | \(-0.801337\pi\) |
0.984671 | − | 0.174422i | \(-0.0558056\pi\) | |||||||
\(338\) | 5.79357 | + | 6.24398i | 0.315129 | + | 0.339628i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.87512 | − | 1.50377i | −0.264390 | − | 0.0815536i | ||||
\(341\) | −1.79735 | − | 23.9840i | −0.0973320 | − | 1.29881i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4423 | − | 1.69777i | −0.995789 | − | 0.0916709i | ||||
\(344\) | − | 20.1862i | − | 1.08837i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.377052 | + | 1.22237i | −0.0202704 | + | 0.0657152i | ||||
\(347\) | 2.95258 | + | 19.5891i | 0.158503 | + | 1.05160i | 0.916701 | + | 0.399574i | \(0.130842\pi\) |
−0.758198 | + | 0.652025i | \(0.773920\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 2.59908 | + | 0.593223i | 0.139125 | + | 0.0317545i | 0.291517 | − | 0.956566i | \(-0.405840\pi\) |
−0.152391 | + | 0.988320i | \(0.548697\pi\) | |||||||
\(350\) | 0.302929 | − | 9.89656i | 0.0161922 | − | 0.528993i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −11.5937 | − | 7.90443i | −0.617945 | − | 0.421308i | ||||
\(353\) | 6.84795 | + | 6.35397i | 0.364480 | + | 0.338188i | 0.841059 | − | 0.540944i | \(-0.181933\pi\) |
−0.476579 | + | 0.879132i | \(0.658123\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.57433 | − | 10.4450i | 0.0835567 | − | 0.554363i | ||||
\(356\) | 3.89568 | + | 1.87606i | 0.206471 | + | 0.0994310i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −9.32669 | + | 4.49150i | −0.492931 | + | 0.237383i | ||||
\(359\) | −6.22804 | − | 20.1908i | −0.328703 | − | 1.06563i | −0.957590 | − | 0.288133i | \(-0.906965\pi\) |
0.628887 | − | 0.777497i | \(-0.283511\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 24.8348 | − | 43.0152i | 1.30710 | − | 2.26396i | ||||
\(362\) | −3.28291 | − | 5.68617i | −0.172546 | − | 0.298859i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.90153 | − | 5.55515i | 0.0996674 | − | 0.291169i | ||||
\(365\) | 6.52714 | − | 5.20522i | 0.341646 | − | 0.272453i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −25.9930 | − | 1.94791i | −1.35683 | − | 0.101680i | −0.623642 | − | 0.781710i | \(-0.714348\pi\) |
−0.733184 | + | 0.680030i | \(0.761967\pi\) | |||||||
\(368\) | −0.898604 | − | 0.0673411i | −0.0468430 | − | 0.00351040i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.56597 | − | 1.24882i | 0.0814111 | − | 0.0649232i | ||||
\(371\) | 0.350049 | + | 2.92770i | 0.0181736 | + | 0.151998i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.813019 | − | 1.40819i | −0.0420965 | − | 0.0729133i | 0.844209 | − | 0.536013i | \(-0.180070\pi\) |
−0.886306 | + | 0.463100i | \(0.846737\pi\) | |||||||
\(374\) | −5.31221 | + | 9.20102i | −0.274688 | + | 0.475773i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.66825 | + | 18.3760i | 0.292318 | + | 0.947671i | ||||
\(377\) | 11.6510 | − | 5.61084i | 0.600059 | − | 0.288973i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 12.2610 | + | 5.90457i | 0.629804 | + | 0.303297i | 0.721421 | − | 0.692497i | \(-0.243489\pi\) |
−0.0916173 | + | 0.995794i | \(0.529204\pi\) | |||||||
\(380\) | −1.25846 | + | 8.34931i | −0.0645574 | + | 0.428310i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −14.3470 | − | 13.3121i | −0.734058 | − | 0.681106i | ||||
\(383\) | −7.59847 | − | 5.18055i | −0.388264 | − | 0.264714i | 0.353418 | − | 0.935465i | \(-0.385019\pi\) |
−0.741682 | + | 0.670752i | \(0.765972\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −5.10836 | − | 1.33162i | −0.260346 | − | 0.0678654i | ||||
\(386\) | 11.4103 | + | 2.60433i | 0.580769 | + | 0.132557i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.92218 | + | 12.7529i | 0.0975841 | + | 0.647428i | ||||
\(389\) | −6.24131 | + | 20.2338i | −0.316447 | + | 1.02590i | 0.648005 | + | 0.761636i | \(0.275604\pi\) |
−0.964452 | + | 0.264259i | \(0.914873\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 46.3512i | 2.34408i | ||||||||
\(392\) | −19.3858 | + | 3.19215i | −0.979133 | + | 0.161228i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.777730 | − | 10.3781i | −0.0391814 | − | 0.522840i | ||||
\(395\) | −2.12095 | − | 0.654228i | −0.106717 | − | 0.0329178i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.39644 | + | 7.97146i | 0.371217 | + | 0.400076i | 0.890839 | − | 0.454320i | \(-0.150118\pi\) |
−0.519622 | + | 0.854396i | \(0.673927\pi\) | |||||||
\(398\) | −3.36513 | + | 14.7436i | −0.168679 | + | 0.739029i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.0940864 | + | 0.412219i | 0.00470432 | + | 0.0206110i | ||||
\(401\) | 3.95834 | − | 5.80581i | 0.197670 | − | 0.289929i | −0.714587 | − | 0.699546i | \(-0.753386\pi\) |
0.912257 | + | 0.409618i | \(0.134338\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.2368 | − | 9.70651i | 0.709188 | − | 0.483516i | ||||
\(404\) | 6.38164 | + | 0.961878i | 0.317498 | + | 0.0478552i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −13.5085 | − | 9.82857i | −0.670418 | − | 0.487784i | ||||
\(407\) | 3.06658 | + | 6.36781i | 0.152005 | + | 0.315641i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 20.6149 | − | 8.09077i | 1.01934 | − | 0.400063i | 0.203957 | − | 0.978980i | \(-0.434620\pi\) |
0.815386 | + | 0.578917i | \(0.196525\pi\) | |||||||
\(410\) | 1.32979 | + | 0.767752i | 0.0656734 | + | 0.0379166i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.06801 | + | 5.63655i | 0.348216 | + | 0.277693i | ||||
\(413\) | 7.44047 | + | 7.33996i | 0.366121 | + | 0.361176i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.52608 | + | 11.5323i | −0.222176 | + | 0.566096i | ||||
\(416\) | 0.751245 | − | 10.0247i | 0.0368328 | − | 0.491500i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 16.3683 | + | 6.42408i | 0.800599 | + | 0.314212i | ||||
\(419\) | 14.8904 | + | 18.6719i | 0.727442 | + | 0.912184i | 0.998733 | − | 0.0503136i | \(-0.0160221\pi\) |
−0.271291 | + | 0.962497i | \(0.587451\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 11.5324 | − | 14.4612i | 0.562056 | − | 0.704796i | −0.416881 | − | 0.908961i | \(-0.636877\pi\) |
0.978936 | + | 0.204166i | \(0.0654481\pi\) | |||||||
\(422\) | 9.33937 | − | 5.39209i | 0.454634 | − | 0.262483i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.14276 | + | 2.91170i | 0.0554972 | + | 0.141405i | ||||
\(425\) | 20.7824 | − | 6.41053i | 1.00810 | − | 0.310957i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.71056 | + | 20.3680i | −0.179566 | + | 0.985677i | ||||
\(428\) | 8.87960 | − | 18.4387i | 0.429212 | − | 0.891267i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.82784 | − | 4.14768i | −0.136371 | − | 0.200019i | ||||
\(431\) | 0.575410 | − | 0.620145i | 0.0277165 | − | 0.0298713i | −0.719041 | − | 0.694967i | \(-0.755419\pi\) |
0.746758 | + | 0.665096i | \(0.231609\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 7.94629 | − | 1.81369i | 0.381874 | − | 0.0871603i | −0.0272745 | − | 0.999628i | \(-0.508683\pi\) |
0.409149 | + | 0.912468i | \(0.365826\pi\) | |||||||
\(434\) | −19.7504 | − | 10.2672i | −0.948049 | − | 0.492841i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.43906 | − | 7.83030i | 0.404158 | − | 0.375004i | ||||
\(437\) | 75.8561 | − | 11.4335i | 3.62869 | − | 0.546937i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 27.1836 | − | 2.03713i | 1.29740 | − | 0.0972270i | 0.591946 | − | 0.805978i | \(-0.298360\pi\) |
0.705459 | + | 0.708751i | \(0.250741\pi\) | |||||||
\(440\) | −5.60020 | −0.266979 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −7.61160 | −0.362047 | ||||||||
\(443\) | 21.1386 | − | 1.58412i | 1.00432 | − | 0.0752637i | 0.437599 | − | 0.899170i | \(-0.355829\pi\) |
0.566725 | + | 0.823907i | \(0.308210\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 2.75402 | − | 0.415102i | 0.130553 | − | 0.0196777i | ||||
\(446\) | −10.0249 | + | 9.30173i | −0.474692 | + | 0.440450i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −11.3968 | + | 5.06489i | −0.538447 | + | 0.239294i | ||||
\(449\) | −33.7634 | + | 7.70628i | −1.59339 | + | 0.363682i | −0.924953 | − | 0.380083i | \(-0.875896\pi\) |
−0.668442 | + | 0.743764i | \(0.733038\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −3.68535 | + | 3.97187i | −0.173536 | + | 0.187028i | ||||
\(452\) | −6.91534 | − | 10.1429i | −0.325270 | − | 0.477084i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.12712 | − | 12.7231i | 0.287560 | − | 0.597124i | ||||
\(455\) | −1.00369 | − | 3.64644i | −0.0470535 | − | 0.170948i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.8667 | − | 4.58577i | 0.695435 | − | 0.214513i | 0.0731697 | − | 0.997320i | \(-0.476689\pi\) |
0.622266 | + | 0.782806i | \(0.286212\pi\) | |||||||
\(458\) | 2.44793 | + | 6.23723i | 0.114384 | + | 0.291447i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −8.16888 | + | 4.71631i | −0.380876 | + | 0.219899i | ||||
\(461\) | 0.992274 | − | 1.24427i | 0.0462148 | − | 0.0579515i | −0.758187 | − | 0.652037i | \(-0.773915\pi\) |
0.804402 | + | 0.594086i | \(0.202486\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7.27627 | + | 9.12416i | 0.338157 | + | 0.424035i | 0.921614 | − | 0.388109i | \(-0.126872\pi\) |
−0.583457 | + | 0.812144i | \(0.698300\pi\) | |||||||
\(464\) | 0.664086 | + | 0.260635i | 0.0308294 | + | 0.0120997i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.795632 | + | 10.6170i | −0.0368569 | + | 0.491822i | ||||
\(467\) | −10.6898 | + | 27.2371i | −0.494664 | + | 1.26038i | 0.437785 | + | 0.899080i | \(0.355763\pi\) |
−0.932448 | + | 0.361303i | \(0.882332\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −2.15577 | + | 3.48324i | −0.0995441 | + | 0.160841i | ||||
\(470\) | 3.73891 | + | 2.98168i | 0.172463 | + | 0.137535i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 9.60196 | + | 5.54369i | 0.441966 | + | 0.255169i | ||||
\(473\) | 16.4892 | − | 6.47153i | 0.758173 | − | 0.297561i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −15.6176 | − | 32.4302i | −0.716583 | − | 1.48800i | ||||
\(476\) | −7.88534 | − | 14.6773i | −0.361424 | − | 0.672734i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −14.5395 | − | 2.19148i | −0.665023 | − | 0.100236i | ||||
\(479\) | −29.2845 | + | 19.9658i | −1.33804 | + | 0.912262i | −0.999587 | − | 0.0287208i | \(-0.990857\pi\) |
−0.338455 | + | 0.940983i | \(0.609904\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.85237 | + | 4.18366i | −0.130057 | + | 0.190759i | ||||
\(482\) | −2.21705 | − | 9.71352i | −0.100984 | − | 0.442439i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.38090 | + | 6.05013i | −0.0627683 | + | 0.275006i | ||||
\(485\) | 5.65036 | + | 6.08964i | 0.256570 | + | 0.276516i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.5739 | − | 5.11237i | −0.751035 | − | 0.231663i | −0.104476 | − | 0.994527i | \(-0.533316\pi\) |
−0.646559 | + | 0.762864i | \(0.723793\pi\) | |||||||
\(488\) | 1.64127 | + | 21.9013i | 0.0742970 | + | 0.991424i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −3.53604 | + | 3.37161i | −0.159742 | + | 0.152314i | ||||
\(491\) | − | 15.2630i | − | 0.688811i | −0.938821 | − | 0.344405i | \(-0.888081\pi\) | ||
0.938821 | − | 0.344405i | \(-0.111919\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.8161 | − | 35.0650i | 0.487134 | − | 1.57925i | ||||
\(494\) | 1.87755 | + | 12.4568i | 0.0844751 | + | 0.560456i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.926743 | + | 0.211523i | 0.0416120 | + | 0.00949767i | ||||
\(497\) | 27.6160 | − | 20.6730i | 1.23874 | − | 0.927313i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.23399 | − | 6.29563i | −0.413370 | − | 0.281831i | 0.338725 | − | 0.940885i | \(-0.390004\pi\) |
−0.752095 | + | 0.659054i | \(0.770957\pi\) | |||||||
\(500\) | 6.97909 | + | 6.47565i | 0.312114 | + | 0.289600i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.99438 | − | 19.8664i | 0.133646 | − | 0.886680i | ||||
\(503\) | −13.8231 | − | 6.65685i | −0.616341 | − | 0.296814i | 0.0995430 | − | 0.995033i | \(-0.468262\pi\) |
−0.715884 | + | 0.698219i | \(0.753976\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.74534 | − | 1.80366i | 0.166666 | − | 0.0802619i | ||||
\(506\) | 5.78999 | + | 18.7707i | 0.257396 | + | 0.834458i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.52652 | + | 2.64400i | −0.0677282 | + | 0.117309i | ||||
\(509\) | 19.4988 | + | 33.7729i | 0.864268 | + | 1.49696i | 0.867773 | + | 0.496961i | \(0.165551\pi\) |
−0.00350504 | + | 0.999994i | \(0.501116\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 27.1133 | + | 2.86837i | 1.19942 | + | 0.126889i | ||||
\(512\) | 0.860795 | − | 0.686461i | 0.0380421 | − | 0.0303376i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 4.40917 | + | 0.330421i | 0.194480 | + | 0.0145743i | ||||
\(515\) | 5.80684 | + | 0.435162i | 0.255880 | + | 0.0191755i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −13.1933 | + | 10.5213i | −0.580241 | + | 0.462727i | ||||
\(518\) | 6.50496 | + | 0.688172i | 0.285812 | + | 0.0302365i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −2.00606 | − | 3.47460i | −0.0879717 | − | 0.152371i | ||||
\(521\) | −9.94044 | + | 17.2173i | −0.435498 | + | 0.754305i | −0.997336 | − | 0.0729420i | \(-0.976761\pi\) |
0.561838 | + | 0.827247i | \(0.310095\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 10.2290 | + | 33.1617i | 0.447284 | + | 1.45006i | 0.846097 | + | 0.533028i | \(0.178946\pi\) |
−0.398813 | + | 0.917032i | \(0.630578\pi\) | |||||||
\(524\) | −5.62961 | + | 2.71108i | −0.245931 | + | 0.118434i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.29082 | − | 4.47422i | −0.405099 | − | 0.195085i | ||||
\(527\) | 7.28741 | − | 48.3488i | 0.317445 | − | 2.10611i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 45.9611 | + | 42.6457i | 1.99831 | + | 1.85416i | ||||
\(530\) | 0.642695 | + | 0.438182i | 0.0279169 | + | 0.0190334i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −22.0751 | + | 16.5252i | −0.957076 | + | 0.716458i | ||||
\(533\) | −3.78445 | − | 0.863776i | −0.163923 | − | 0.0374143i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.96472 | − | 13.0351i | −0.0849424 | − | 0.563556i | ||||
\(536\) | −1.28088 | + | 4.15251i | −0.0553256 | + | 0.179361i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 0.175227i | − | 0.00755458i | ||||||
\(539\) | −8.82245 | − | 14.8120i | −0.380010 | − | 0.637998i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.920507 | − | 12.2833i | −0.0395757 | − | 0.528101i | −0.981397 | − | 0.191988i | \(-0.938507\pi\) |
0.941822 | − | 0.336113i | \(-0.109112\pi\) | |||||||
\(542\) | −1.79699 | − | 0.554298i | −0.0771873 | − | 0.0238091i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −19.4026 | − | 20.9111i | −0.831882 | − | 0.896555i | ||||
\(545\) | 1.65007 | − | 7.22942i | 0.0706812 | − | 0.309674i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.99366 | + | 13.1161i | 0.127999 | + | 0.560802i | 0.997734 | + | 0.0672825i | \(0.0214329\pi\) |
−0.869734 | + | 0.493520i | \(0.835710\pi\) | |||||||
\(548\) | −5.48780 | + | 8.04913i | −0.234427 | + | 0.343842i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.61541 | − | 5.19210i | 0.324722 | − | 0.221392i | ||||
\(551\) | −60.0537 | − | 9.05164i | −2.55837 | − | 0.385613i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.43057 | − | 6.38547i | −0.145883 | − | 0.271538i | ||||
\(554\) | −1.48485 | − | 3.08331i | −0.0630850 | − | 0.130997i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2.63549 | − | 1.03435i | 0.111770 | − | 0.0438664i | ||||
\(557\) | 18.8697 | + | 10.8944i | 0.799536 | + | 0.461613i | 0.843309 | − | 0.537429i | \(-0.180604\pi\) |
−0.0437726 | + | 0.999042i | \(0.513938\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 9.92184 | + | 7.91240i | 0.419649 | + | 0.334659i | ||||
\(560\) | 0.109802 | − | 0.177415i | 0.00463996 | − | 0.00749714i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −1.51931 | + | 3.87114i | −0.0640882 | + | 0.163294i | ||||
\(563\) | 3.11383 | − | 41.5512i | 0.131232 | − | 1.75117i | −0.411629 | − | 0.911352i | \(-0.635040\pi\) |
0.542861 | − | 0.839822i | \(-0.317341\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.36073 | − | 2.88887i | −0.309668 | − | 0.121536i | ||||
\(566\) | −8.74657 | − | 10.9679i | −0.367646 | − | 0.461013i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 22.8167 | − | 28.6112i | 0.957367 | − | 1.20050i | ||||
\(569\) | −0.737473 | + | 0.425780i | −0.0309165 | + | 0.0178496i | −0.515379 | − | 0.856963i | \(-0.672349\pi\) |
0.484462 | + | 0.874812i | \(0.339015\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.7689 | + | 27.4388i | 0.450666 | + | 1.14828i | 0.958061 | + | 0.286565i | \(0.0925133\pi\) |
−0.507395 | + | 0.861714i | \(0.669391\pi\) | |||||||
\(572\) | 5.22299 | − | 1.61108i | 0.218384 | − | 0.0673626i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 1.33080 | + | 4.83485i | 0.0555463 | + | 0.201803i | ||||
\(575\) | 17.4468 | − | 36.2287i | 0.727584 | − | 1.51084i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 8.62611 | + | 12.6522i | 0.359109 | + | 0.526717i | 0.962698 | − | 0.270579i | \(-0.0872153\pi\) |
−0.603588 | + | 0.797296i | \(0.706263\pi\) | |||||||
\(578\) | −4.72892 | + | 5.09656i | −0.196697 | + | 0.211989i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.28038 | − | 1.66170i | 0.302301 | − | 0.0689983i | ||||
\(581\) | −36.9722 | + | 16.4310i | −1.53386 | + | 0.681671i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.01207 | + | 1.86693i | −0.0833314 | + | 0.0773202i | ||||
\(584\) | 28.6002 | − | 4.31078i | 1.18348 | − | 0.178381i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.79278 | + | 0.509048i | −0.280607 | + | 0.0210286i | ||||
\(587\) | −26.2007 | −1.08142 | −0.540710 | − | 0.841209i | \(-0.681844\pi\) | ||||
−0.540710 | + | 0.841209i | \(0.681844\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −80.9228 | −3.33437 | ||||||||
\(590\) | 2.74952 | − | 0.206048i | 0.113196 | − | 0.00848286i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.276218 | + | 0.0416332i | −0.0113525 | + | 0.00171111i | ||||
\(593\) | −4.06154 | + | 3.76856i | −0.166787 | + | 0.154756i | −0.759151 | − | 0.650915i | \(-0.774386\pi\) |
0.592363 | + | 0.805671i | \(0.298195\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −9.52226 | − | 4.95012i | −0.390375 | − | 0.202935i | ||||
\(596\) | 7.77063 | − | 1.77360i | 0.318298 | − | 0.0726493i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.57207 | + | 10.3162i | −0.391431 | + | 0.421862i | ||||
\(599\) | 11.3843 | + | 16.6977i | 0.465149 | + | 0.682249i | 0.985107 | − | 0.171943i | \(-0.0550046\pi\) |
−0.519958 | + | 0.854192i | \(0.674052\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.6840 | + | 24.2620i | −0.476599 | + | 0.989667i | 0.514618 | + | 0.857420i | \(0.327934\pi\) |
−0.991217 | + | 0.132248i | \(0.957781\pi\) | |||||||
\(602\) | 2.93826 | − | 16.1287i | 0.119755 | − | 0.657358i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 14.6166 | − | 4.50861i | 0.594739 | − | 0.183453i | ||||
\(605\) | 1.46037 | + | 3.72095i | 0.0593724 | + | 0.151278i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.0607 | + | 6.96327i | −0.489530 | + | 0.282631i | −0.724380 | − | 0.689401i | \(-0.757874\pi\) |
0.234849 | + | 0.972032i | \(0.424540\pi\) | |||||||
\(608\) | −29.4360 | + | 36.9115i | −1.19379 | + | 1.49696i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.40533 | + | 4.27014i | 0.137878 | + | 0.172893i | ||||
\(611\) | −11.2539 | − | 4.41682i | −0.455283 | − | 0.178685i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 1.47868 | − | 19.7317i | 0.0597235 | − | 0.796955i | −0.884267 | − | 0.466982i | \(-0.845341\pi\) |
0.943990 | − | 0.329973i | \(-0.107040\pi\) | |||||||
\(614\) | 9.31140 | − | 23.7251i | 0.375778 | − | 0.957466i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −13.0200 | − | 12.8442i | −0.524592 | − | 0.517506i | ||||
\(617\) | −26.9583 | − | 21.4986i | −1.08530 | − | 0.865499i | −0.0937997 | − | 0.995591i | \(-0.529901\pi\) |
−0.991502 | + | 0.130092i | \(0.958473\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.27183 | + | 4.19839i | 0.292279 | + | 0.168748i | 0.638969 | − | 0.769232i | \(-0.279361\pi\) |
−0.346690 | + | 0.937980i | \(0.612694\pi\) | |||||||
\(620\) | 9.26244 | − | 3.63524i | 0.371989 | − | 0.145995i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 12.7887 | + | 26.5560i | 0.512780 | + | 1.06480i | ||||
\(623\) | 7.35492 | + | 5.35131i | 0.294669 | + | 0.214396i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.4118 | − | 2.32296i | −0.616473 | − | 0.0929184i | ||||
\(626\) | −4.84733 | + | 3.30485i | −0.193738 | + | 0.132088i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 11.4055 | − | 16.7288i | 0.455130 | − | 0.667553i | ||||
\(629\) | 3.19726 | + | 14.0081i | 0.127483 | + | 0.558539i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.38108 | − | 10.4322i | 0.0947895 | − | 0.415300i | −0.905163 | − | 0.425065i | \(-0.860251\pi\) |
0.999952 | + | 0.00976515i | \(0.00310839\pi\) | |||||||
\(632\) | −5.23027 | − | 5.63689i | −0.208049 | − | 0.224223i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.34914 | + | 2.26691i | 0.291872 | + | 0.0900305i | ||||
\(635\) | 0.146960 | + | 1.96104i | 0.00583193 | + | 0.0778216i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.02968 | − | 10.7797i | 0.238905 | − | 0.427106i | ||||
\(638\) | − | 15.5513i | − | 0.615680i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.75115 | − | 5.67708i | 0.0692202 | − | 0.224406i | ||||
\(641\) | 4.46068 | + | 29.5947i | 0.176186 | + | 1.16892i | 0.885710 | + | 0.464239i | \(0.153672\pi\) |
−0.709524 | + | 0.704681i | \(0.751090\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −29.8887 | − | 6.82189i | −1.17869 | − | 0.269029i | −0.412086 | − | 0.911145i | \(-0.635200\pi\) |
−0.766608 | + | 0.642116i | \(0.778057\pi\) | |||||||
\(644\) | −29.8089 | − | 7.77042i | −1.17464 | − | 0.306197i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 29.5355 | + | 20.1370i | 1.16206 | + | 0.792278i | ||||
\(647\) | 6.27882 | + | 5.82589i | 0.246846 | + | 0.229039i | 0.793886 | − | 0.608067i | \(-0.208055\pi\) |
−0.547040 | + | 0.837107i | \(0.684245\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.45008 | + | 9.62064i | −0.0569205 | + | 0.377643i | ||||
\(650\) | 5.94933 | + | 2.86505i | 0.233352 | + | 0.112376i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.10176 | − | 1.49373i | 0.121474 | − | 0.0584989i | ||||
\(653\) | −4.52050 | − | 14.6551i | −0.176901 | − | 0.573498i | −0.999984 | − | 0.00557820i | \(-0.998224\pi\) |
0.823084 | − | 0.567920i | \(-0.192252\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.01238 | + | 3.48555i | −0.0786303 | + | 0.136192i | ||||
\(656\) | −0.107073 | − | 0.185456i | −0.00418049 | − | 0.00724082i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.85414 | + | 15.5074i | 0.0722819 | + | 0.604542i | ||||
\(659\) | −9.96466 | + | 7.94655i | −0.388168 | + | 0.309554i | −0.798057 | − | 0.602582i | \(-0.794139\pi\) |
0.409889 | + | 0.912135i | \(0.365567\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −29.5178 | − | 2.21205i | −1.14811 | − | 0.0860389i | −0.512949 | − | 0.858419i | \(-0.671447\pi\) |
−0.635160 | + | 0.772380i | \(0.719066\pi\) | |||||||
\(662\) | 0.205202 | + | 0.0153778i | 0.00797542 | + | 0.000597675i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −33.5563 | + | 26.7602i | −1.30224 | + | 1.03850i | ||||
\(665\) | −5.75226 | + | 16.8047i | −0.223063 | + | 0.651658i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −33.9228 | − | 58.7560i | −1.31349 | − | 2.27504i | ||||
\(668\) | −1.62307 | + | 2.81125i | −0.0627986 | + | 0.108770i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.318531 | + | 1.03265i | 0.0123059 | + | 0.0398949i | ||||
\(671\) | −17.3639 | + | 8.36203i | −0.670327 | + | 0.322813i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −36.4046 | − | 17.5316i | −1.40330 | − | 0.675792i | −0.429469 | − | 0.903082i | \(-0.641299\pi\) |
−0.973827 | + | 0.227290i | \(0.927014\pi\) | |||||||
\(674\) | 1.83469 | − | 12.1724i | 0.0706695 | − | 0.468861i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −9.11523 | − | 8.45770i | −0.350586 | − | 0.325296i | ||||
\(677\) | 0.947328 | + | 0.645877i | 0.0364088 | + | 0.0248231i | 0.581388 | − | 0.813627i | \(-0.302510\pi\) |
−0.544979 | + | 0.838450i | \(0.683462\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.830041 | + | 27.1171i | −0.0318541 | + | 1.04066i | ||||
\(680\) | −11.0995 | − | 2.53338i | −0.425646 | − | 0.0971509i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −3.08836 | − | 20.4899i | −0.118259 | − | 0.784600i | ||||
\(683\) | 7.31713 | − | 23.7216i | 0.279982 | − | 0.907680i | −0.700930 | − | 0.713230i | \(-0.747232\pi\) |
0.980912 | − | 0.194450i | \(-0.0622923\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 6.27502i | 0.239756i | ||||||||
\(686\) | −15.9538 | − | 0.271240i | −0.609121 | − | 0.0103560i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0.0523183 | + | 0.698139i | 0.00199462 | + | 0.0266163i | ||||
\(689\) | −1.87907 | − | 0.579616i | −0.0715868 | − | 0.0220816i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.1556 | + | 17.4116i | 0.614590 | + | 0.662370i | 0.961269 | − | 0.275614i | \(-0.0888810\pi\) |
−0.346679 | + | 0.937984i | \(0.612691\pi\) | |||||||
\(692\) | 0.415544 | − | 1.82062i | 0.0157966 | − | 0.0692094i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.79791 | + | 16.6397i | 0.144167 | + | 0.631636i | ||||
\(695\) | 1.02730 | − | 1.50677i | 0.0389677 | − | 0.0571551i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −9.10105 | + | 6.20499i | −0.344727 | + | 0.235031i | ||||
\(698\) | 2.27117 | + | 0.342324i | 0.0859651 | + | 0.0129572i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.638666 | + | 14.4401i | 0.0241393 | + | 0.545783i | ||||
\(701\) | 5.65702 | + | 11.7469i | 0.213663 | + | 0.443675i | 0.980063 | − | 0.198689i | \(-0.0636682\pi\) |
−0.766400 | + | 0.642364i | \(0.777954\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 22.1363 | − | 8.68785i | 0.834885 | − | 0.327668i | ||||
\(704\) | −10.0543 | − | 5.80484i | −0.378935 | − | 0.218778i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.29246 | + | 5.01807i | 0.236820 | + | 0.188858i | ||||
\(707\) | 12.8444 | + | 4.39663i | 0.483062 | + | 0.165352i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.09679 | − | 2.79458i | 0.0411909 | − | 0.104953i | −0.908798 | − | 0.417236i | \(-0.862999\pi\) |
0.949989 | + | 0.312284i | \(0.101094\pi\) | |||||||
\(710\) | 0.680084 | − | 9.07510i | 0.0255231 | − | 0.340582i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.98200 | + | 3.52518i | 0.336615 | + | 0.132112i | ||||
\(713\) | −56.3643 | − | 70.6786i | −2.11086 | − | 2.64693i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.19511 | − | 2.75258i | 0.0820925 | − | 0.102941i | ||||
\(716\) | 13.0874 | − | 7.55603i | 0.489100 | − | 0.282382i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.65073 | − | 16.9458i | −0.248203 | − | 0.632411i | ||||
\(719\) | −36.5054 | + | 11.2604i | −1.36142 | + | 0.419943i | −0.887574 | − | 0.460664i | \(-0.847611\pi\) |
−0.473847 | + | 0.880607i | \(0.657135\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.5024 | + | 14.3298i | 0.465614 | + | 0.533670i | ||||
\(722\) | 18.5672 | − | 38.5551i | 0.690998 | − | 1.43487i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.39946 | + | 7.91956i | 0.200669 | + | 0.294328i | ||||
\(725\) | −21.6527 | + | 23.3361i | −0.804161 | + | 0.866679i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 14.6295 | − | 3.33910i | 0.542580 | − | 0.123840i | 0.0575578 | − | 0.998342i | \(-0.481669\pi\) |
0.485022 | + | 0.874502i | \(0.338812\pi\) | |||||||
\(728\) | 3.30512 | − | 12.6791i | 0.122496 | − | 0.469919i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 5.27261 | − | 4.89226i | 0.195148 | − | 0.181071i | ||||
\(731\) | 35.6087 | − | 5.36715i | 1.31704 | − | 0.198511i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.2286 | − | 1.29110i | 0.636351 | − | 0.0476879i | 0.247351 | − | 0.968926i | \(-0.420440\pi\) |
0.389000 | + | 0.921238i | \(0.372821\pi\) | |||||||
\(734\) | −22.4571 | −0.828908 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −52.7415 | −1.94408 | ||||||||
\(737\) | −3.80263 | + | 0.284967i | −0.140072 | + | 0.0104969i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −9.31553 | + | 1.40409i | −0.342677 | + | 0.0516503i | −0.318126 | − | 0.948048i | \(-0.603054\pi\) |
−0.0245508 | + | 0.999699i | \(0.507816\pi\) | |||||||
\(740\) | −2.14344 | + | 1.98883i | −0.0787946 | + | 0.0731107i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.489238 | + | 2.49277i | 0.0179605 | + | 0.0915125i | ||||
\(743\) | −22.9729 | + | 5.24341i | −0.842793 | + | 0.192362i | −0.622057 | − | 0.782972i | \(-0.713703\pi\) |
−0.220736 | + | 0.975334i | \(0.570846\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.49200 | − | 3.76349i | 0.127937 | − | 0.137883i | ||||
\(746\) | −0.789164 | − | 1.15749i | −0.0288933 | − | 0.0423787i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 6.72953 | − | 13.9740i | 0.246056 | − | 0.510941i | ||||
\(749\) | 25.3283 | − | 34.8117i | 0.925478 | − | 1.27199i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.40251 | + | 2.59183i | −0.306612 | + | 0.0945773i | −0.444243 | − | 0.895906i | \(-0.646527\pi\) |
0.137631 | + | 0.990484i | \(0.456051\pi\) | |||||||
\(752\) | −0.243662 | − | 0.620842i | −0.00888545 | − | 0.0226398i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 9.64865 | − | 5.57065i | 0.351383 | − | 0.202871i | ||||
\(755\) | 6.14303 | − | 7.70311i | 0.223568 | − | 0.280345i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 29.5264 | + | 37.0250i | 1.07316 | + | 1.34570i | 0.934744 | + | 0.355321i | \(0.115629\pi\) |
0.138413 | + | 0.990375i | \(0.455800\pi\) | |||||||
\(758\) | 10.9141 | + | 4.28346i | 0.396417 | + | 0.155582i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.40810 | + | 18.7898i | −0.0510771 | + | 0.681576i | ||||
\(761\) | −6.67922 | + | 17.0184i | −0.242122 | + | 0.616916i | −0.999343 | − | 0.0362426i | \(-0.988461\pi\) |
0.757222 | + | 0.653158i | \(0.226556\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 20.4171 | − | 13.0234i | 0.739148 | − | 0.471478i | ||||
\(764\) | 22.3381 | + | 17.8140i | 0.808164 | + | 0.644489i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6.86171 | − | 3.96161i | −0.247924 | − | 0.143139i | ||||
\(767\) | −6.48848 | + | 2.54654i | −0.234286 | + | 0.0919503i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −2.71870 | − | 5.64544i | −0.0980388 | − | 0.203580i | 0.846181 | − | 0.532896i | \(-0.178896\pi\) |
−0.944220 | + | 0.329316i | \(0.893182\pi\) | |||||||
\(770\) | −4.47454 | − | 0.815152i | −0.161251 | − | 0.0293760i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −16.8948 | − | 2.54648i | −0.608057 | − | 0.0916498i | ||||
\(773\) | 24.2077 | − | 16.5045i | 0.870691 | − | 0.593627i | −0.0434354 | − | 0.999056i | \(-0.513830\pi\) |
0.914127 | + | 0.405429i | \(0.132878\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −23.8947 | + | 35.0471i | −0.858322 | + | 1.25893i | ||||
\(776\) | 6.40420 | + | 28.0587i | 0.229898 | + | 1.00725i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −4.05944 | + | 17.7856i | −0.145538 | + | 0.637643i | ||||
\(779\) | 12.3997 | + | 13.3637i | 0.444267 | + | 0.478806i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 30.6860 | + | 9.46537i | 1.09803 | + | 0.338698i | ||||
\(782\) | 2.98427 | + | 39.8223i | 0.106717 | + | 1.42404i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.662184 | − | 0.160644i | 0.0236494 | − | 0.00573729i | ||||
\(785\) | − | 13.0416i | − | 0.465475i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.57434 | − | 14.8296i | 0.163058 | − | 0.528620i | −0.836763 | − | 0.547565i | \(-0.815555\pi\) |
0.999821 | + | 0.0189457i | \(0.00603096\pi\) | |||||||
\(788\) | 2.26438 | + | 15.0232i | 0.0806651 | + | 0.535178i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.86432 | − | 0.425520i | −0.0663296 | − | 0.0151393i | ||||
\(791\) | −10.4874 | − | 23.5984i | −0.372891 | − | 0.839061i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −11.4081 | − | 7.77793i | −0.405114 | − | 0.276202i | ||||
\(794\) | 6.86783 | + | 6.37241i | 0.243730 | + | 0.226148i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.29038 | − | 21.8302i | 0.116624 | − | 0.773752i | ||||
\(797\) | −16.3882 | − | 7.89216i | −0.580501 | − | 0.279554i | 0.120502 | − | 0.992713i | \(-0.461550\pi\) |
−0.701003 | + | 0.713159i | \(0.747264\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −30.9084 | + | 14.8847i | −1.09346 | + | 0.526583i | ||||
\(800\) | 7.29433 | + | 23.6476i | 0.257894 | + | 0.836070i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 3.02697 | − | 5.24287i | 0.106886 | − | 0.185132i | ||||
\(803\) | 12.6902 | + | 21.9801i | 0.447829 | + | 0.775662i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −18.6839 | + | 6.68073i | −0.658521 | + | 0.235465i | ||||
\(806\) | 11.6065 | − | 9.25590i | 0.408823 | − | 0.326025i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 14.3616 | + | 1.07625i | 0.505240 | + | 0.0378625i | ||||
\(809\) | −43.4636 | − | 3.25715i | −1.52810 | − | 0.114515i | −0.716027 | − | 0.698073i | \(-0.754041\pi\) |
−0.812072 | + | 0.583557i | \(0.801660\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 26.7073 | − | 21.2984i | 0.937821 | − | 0.747887i | −0.0299939 | − | 0.999550i | \(-0.509549\pi\) |
0.967815 | + | 0.251663i | \(0.0809774\pi\) | |||||||
\(812\) | 20.7374 | + | 12.8343i | 0.727741 | + | 0.450397i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 3.04461 | + | 5.27342i | 0.106713 | + | 0.184833i | ||||
\(815\) | 1.10877 | − | 1.92044i | 0.0388384 | − | 0.0672700i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −17.5672 | − | 56.9515i | −0.614599 | − | 1.99248i | ||||
\(818\) | 17.1903 | − | 8.27839i | 0.601043 | − | 0.289447i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.01961 | − | 0.972591i | −0.0705277 | − | 0.0339644i | ||||
\(821\) | −5.05503 | + | 33.5379i | −0.176422 | + | 1.17048i | 0.708833 | + | 0.705376i | \(0.249222\pi\) |
−0.885255 | + | 0.465106i | \(0.846016\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 4.22589 | + | 3.92105i | 0.147305 | + | 0.136679i | 0.750383 | − | 0.661003i | \(-0.229869\pi\) |
−0.603078 | + | 0.797682i | \(0.706059\pi\) | |||||||
\(824\) | 16.6686 | + | 11.3644i | 0.580678 | + | 0.395899i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.86499 | + | 5.82702i | 0.238864 | + | 0.202748i | ||||
\(827\) | 15.6291 | + | 3.56724i | 0.543476 | + | 0.124045i | 0.485441 | − | 0.874270i | \(-0.338659\pi\) |
0.0580357 | + | 0.998315i | \(0.481516\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1.63202 | − | 10.8277i | −0.0566823 | − | 0.376062i | −0.999130 | − | 0.0417084i | \(-0.986720\pi\) |
0.942448 | − | 0.334354i | \(-0.108518\pi\) | |||||||
\(830\) | −3.14605 | + | 10.1993i | −0.109201 | + | 0.354021i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | − | 8.31747i | − | 0.288356i | ||||||
\(833\) | −10.7853 | − | 33.3481i | −0.373690 | − | 1.15544i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.156256 | + | 2.08509i | 0.00540745 | + | 0.0721574i | ||||
\(836\) | −24.5291 | − | 7.56624i | −0.848358 | − | 0.261684i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 13.9951 | + | 15.0831i | 0.483453 | + | 0.521039i | ||||
\(839\) | 6.59770 | − | 28.9064i | 0.227778 | − | 0.997959i | −0.723669 | − | 0.690147i | \(-0.757546\pi\) |
0.951447 | − | 0.307813i | \(-0.0995970\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 5.49892 | + | 24.0923i | 0.189618 | + | 0.830770i | ||||
\(842\) | 8.97692 | − | 13.1667i | 0.309365 | − | 0.453755i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −13.0076 | + | 8.86846i | −0.447742 | + | 0.305265i | ||||
\(845\) | −7.92002 | − | 1.19375i | −0.272457 | − | 0.0410663i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.13883 | + | 12.0003i | −0.176572 | + | 0.412335i | ||||
\(848\) | −0.0470686 | − | 0.0977389i | −0.00161634 | − | 0.00335637i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 17.4423 | − | 6.84561i | 0.598267 | − | 0.234803i | ||||
\(851\) | 23.0064 | + | 13.2827i | 0.788648 | + | 0.455326i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 32.4102 | + | 25.8463i | 1.10970 | + | 0.884959i | 0.994114 | − | 0.108338i | \(-0.0345530\pi\) |
0.115589 | + | 0.993297i | \(0.463124\pi\) | |||||||
\(854\) | −1.87653 | + | 17.7379i | −0.0642134 | + | 0.606979i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 16.6851 | − | 42.5128i | 0.570283 | − | 1.45306i | ||||
\(857\) | 2.79048 | − | 37.2364i | 0.0953210 | − | 1.27197i | −0.720414 | − | 0.693545i | \(-0.756048\pi\) |
0.815735 | − | 0.578426i | \(-0.196333\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −7.11666 | − | 2.79308i | −0.242817 | − | 0.0952988i | 0.240812 | − | 0.970572i | \(-0.422586\pi\) |
−0.483629 | + | 0.875273i | \(0.660682\pi\) | |||||||
\(860\) | 4.56914 | + | 5.72953i | 0.155807 | + | 0.195375i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0.454432 | − | 0.569840i | 0.0154780 | − | 0.0194088i | ||||
\(863\) | −24.9307 | + | 14.3938i | −0.848652 | + | 0.489969i | −0.860196 | − | 0.509964i | \(-0.829659\pi\) |
0.0115441 | + | 0.999933i | \(0.496325\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.439457 | − | 1.11972i | −0.0149420 | − | 0.0380715i | ||||
\(866\) | 6.71022 | − | 2.06983i | 0.228023 | − | 0.0703357i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 29.8719 | + | 12.7919i | 1.01392 | + | 0.434186i | ||||
\(869\) | 2.92773 | − | 6.07949i | 0.0993164 | − | 0.206233i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1.53895 | − | 2.25723i | −0.0521454 | − | 0.0764833i | ||||
\(872\) | 17.4738 | − | 18.8323i | 0.591738 | − | 0.637742i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 64.4350 | − | 14.7069i | 2.17955 | − | 0.497467i | ||||
\(875\) | 12.0020 | + | 16.0328i | 0.405742 | + | 0.542008i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.16662 | − | 4.79392i | 0.174464 | − | 0.161879i | −0.588108 | − | 0.808783i | \(-0.700127\pi\) |
0.762572 | + | 0.646903i | \(0.223936\pi\) | |||||||
\(878\) | 23.2235 | − | 3.50037i | 0.783754 | − | 0.118132i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.193682 | − | 0.0145145i | 0.00652903 | − | 0.000489283i | ||||
\(881\) | 5.03384 | 0.169595 | 0.0847973 | − | 0.996398i | \(-0.472976\pi\) | ||||
0.0847973 | + | 0.996398i | \(0.472976\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 36.6086 | 1.23198 | 0.615989 | − | 0.787755i | \(-0.288757\pi\) | ||||
0.615989 | + | 0.787755i | \(0.288757\pi\) | |||||||
\(884\) | 11.0807 | − | 0.830381i | 0.372683 | − | 0.0279287i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.0591 | − | 2.72196i | 0.606706 | − | 0.0914462i | ||||
\(887\) | 5.45928 | − | 5.06547i | 0.183305 | − | 0.170082i | −0.583183 | − | 0.812341i | \(-0.698193\pi\) |
0.766488 | + | 0.642259i | \(0.222003\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −4.15601 | + | 4.89633i | −0.139388 | + | 0.164218i | ||||
\(890\) | 2.33937 | − | 0.533946i | 0.0784158 | − | 0.0178979i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 13.5791 | − | 14.6347i | 0.454661 | − | 0.490008i | ||||
\(893\) | 31.9837 | + | 46.9115i | 1.07030 | + | 1.56983i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 4.22346 | − | 8.77011i | 0.141175 | − | 0.293153i | ||||
\(896\) | 17.0918 | − | 9.18248i | 0.570995 | − | 0.306765i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −28.5114 | + | 8.79461i | −0.951438 | + | 0.293480i | ||||
\(899\) | 26.1470 | + | 66.6215i | 0.872052 | + | 2.22195i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −4.83242 | + | 2.79000i | −0.160991 | + | 0.0929484i | ||||
\(902\) | −2.91052 | + | 3.64967i | −0.0969097 | + | 0.121521i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −17.0804 | − | 21.4181i | −0.568084 | − | 0.712355i | ||||
\(905\) | 5.74722 | + | 2.25562i | 0.191044 | + | 0.0749793i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 2.29198 | − | 30.5843i | 0.0761038 | − | 1.01554i | −0.820195 | − | 0.572084i | \(-0.806135\pi\) |
0.896299 | − | 0.443451i | \(-0.146246\pi\) | |||||||
\(908\) | −7.53160 | + | 19.1902i | −0.249945 | + | 0.636850i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −1.09708 | − | 3.06819i | −0.0363679 | − | 0.101709i | ||||
\(911\) | 39.9167 | + | 31.8325i | 1.32250 | + | 1.05466i | 0.993911 | + | 0.110184i | \(0.0351440\pi\) |
0.328587 | + | 0.944474i | \(0.393427\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −32.6170 | − | 18.8314i | −1.07947 | − | 0.623230i | ||||
\(914\) | 12.4774 | − | 4.89701i | 0.412715 | − | 0.161979i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.24405 | − | 8.81286i | −0.140227 | − | 0.291185i | ||||
\(917\) | −12.6728 | + | 3.48820i | −0.418492 | + | 0.115190i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.57219 | − | 1.44278i | −0.315757 | − | 0.0475928i | −0.0107484 | − | 0.999942i | \(-0.503421\pi\) |
−0.305009 | + | 0.952349i | \(0.598659\pi\) | |||||||
\(920\) | −17.3919 | + | 11.8576i | −0.573393 | + | 0.390933i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0.772394 | − | 1.13289i | 0.0254374 | − | 0.0373099i | ||||
\(923\) | 5.11938 | + | 22.4295i | 0.168507 | + | 0.738275i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.77370 | − | 12.1524i | 0.0911988 | − | 0.399568i | ||||
\(926\) | 6.83880 | + | 7.37047i | 0.224737 | + | 0.242209i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 39.8993 | + | 12.3073i | 1.30976 | + | 0.404007i | ||||
\(929\) | −2.47739 | − | 33.0584i | −0.0812804 | − | 1.08461i | −0.877491 | − | 0.479592i | \(-0.840785\pi\) |
0.796211 | − | 0.605019i | \(-0.206834\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −51.9154 | + | 25.8767i | −1.70146 | + | 0.848075i | ||||
\(932\) | − | 15.5426i | − | 0.509114i | ||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −7.43041 | + | 24.0888i | −0.243130 | + | 0.788209i | ||||
\(935\) | −1.48899 | − | 9.87882i | −0.0486953 | − | 0.323072i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.06607 | − | 1.84103i | −0.263507 | − | 0.0601438i | 0.0887260 | − | 0.996056i | \(-0.471720\pi\) |
−0.352233 | + | 0.935912i | \(0.614578\pi\) | |||||||
\(938\) | −1.62785 | + | 3.13140i | −0.0531511 | + | 0.102244i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −5.76824 | − | 3.93272i | −0.188139 | − | 0.128271i | ||||
\(941\) | −28.4133 | − | 26.3637i | −0.926248 | − | 0.859432i | 0.0641131 | − | 0.997943i | \(-0.479578\pi\) |
−0.990361 | + | 0.138510i | \(0.955769\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.03533 | + | 20.1381i | −0.0988440 | + | 0.655787i | ||||
\(944\) | −0.346450 | − | 0.166842i | −0.0112760 | − | 0.00543024i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.7499 | − | 6.62160i | 0.447048 | − | 0.215287i | ||||
\(947\) | −10.0121 | − | 32.4583i | −0.325349 | − | 1.05475i | −0.959539 | − | 0.281577i | \(-0.909143\pi\) |
0.634190 | − | 0.773177i | \(-0.281334\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −9.09160 | + | 15.7471i | −0.295126 | + | 0.511173i | ||||
\(950\) | −15.5057 | − | 26.8566i | −0.503071 | − | 0.871344i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −19.9951 | − | 31.3468i | −0.648044 | − | 1.01595i | ||||
\(953\) | −20.6388 | + | 16.4589i | −0.668556 | + | 0.533156i | −0.897905 | − | 0.440189i | \(-0.854912\pi\) |
0.229349 | + | 0.973344i | \(0.426340\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 18.3522 | + | 1.37531i | 0.593864 | + | 0.0445040i | ||||
\(956\) | 21.4052 | + | 1.60410i | 0.692293 | + | 0.0518802i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −23.8741 | + | 19.0389i | −0.771336 | + | 0.615120i | ||||
\(959\) | −14.3919 | + | 14.5889i | −0.464737 | + | 0.471101i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 32.1812 | + | 55.7395i | 1.03810 | + | 1.79805i | ||||
\(962\) | −2.18123 | + | 3.77801i | −0.0703258 | + | 0.121808i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 4.28718 | + | 13.8987i | 0.138081 | + | 0.447647i | ||||
\(965\) | −9.91545 | + | 4.77503i | −0.319190 | + | 0.153714i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −32.5434 | − | 15.6721i | −1.04653 | − | 0.503980i | −0.170054 | − | 0.985435i | \(-0.554394\pi\) |
−0.876471 | + | 0.481455i | \(0.840109\pi\) | |||||||
\(968\) | −2.06400 | + | 13.6938i | −0.0663396 | + | 0.440134i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 5.24654 | + | 4.86808i | 0.168456 | + | 0.156304i | ||||
\(971\) | 4.44161 | + | 3.02824i | 0.142538 | + | 0.0971809i | 0.632490 | − | 0.774569i | \(-0.282033\pi\) |
−0.489951 | + | 0.871750i | \(0.662985\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 5.84420 | − | 1.14700i | 0.187356 | − | 0.0367711i | ||||
\(974\) | −14.5685 | − | 3.32516i | −0.466804 | − | 0.106545i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −0.113526 | − | 0.753199i | −0.00363389 | − | 0.0241093i | ||||
\(977\) | −6.00157 | + | 19.4566i | −0.192007 | + | 0.622472i | 0.807463 | + | 0.589919i | \(0.200840\pi\) |
−0.999470 | + | 0.0325537i | \(0.989636\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 8.46711i | 0.270610i | ||||||||
\(980\) | 4.77980 | − | 5.29401i | 0.152685 | − | 0.169111i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −0.982692 | − | 13.1131i | −0.0313590 | − | 0.418456i | ||||
\(983\) | 0.868828 | + | 0.267998i | 0.0277113 | + | 0.00854780i | 0.308580 | − | 0.951198i | \(-0.400146\pi\) |
−0.280869 | + | 0.959746i | \(0.590622\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 6.65626 | + | 7.17374i | 0.212086 | + | 0.228574i | ||||
\(986\) | 7.03497 | − | 30.8222i | 0.224039 | − | 0.981580i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −4.09223 | − | 17.9292i | −0.130191 | − | 0.570405i | ||||
\(989\) | 37.5060 | − | 55.0112i | 1.19262 | − | 1.74925i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 17.2680 | − | 11.7731i | 0.548535 | − | 0.373985i | −0.257111 | − | 0.966382i | \(-0.582771\pi\) |
0.805646 | + | 0.592397i | \(0.201818\pi\) | |||||||
\(992\) | 55.0145 | + | 8.29210i | 1.74671 | + | 0.263274i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 22.3950 | − | 19.5391i | 0.710327 | − | 0.619743i | ||||
\(995\) | −6.16995 | − | 12.8120i | −0.195601 | − | 0.406169i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 41.0258 | − | 16.1014i | 1.29930 | − | 0.509938i | 0.387992 | − | 0.921663i | \(-0.373169\pi\) |
0.911308 | + | 0.411725i | \(0.135074\pi\) | |||||||
\(998\) | −8.33864 | − | 4.81432i | −0.263955 | − | 0.152395i | ||||
\(999\) | 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 | 441.2.bg.a.17.12 | yes | 216 | |
3.2 | odd | 2 | inner | 441.2.bg.a.17.7 | ✓ | 216 | |
49.26 | odd | 42 | inner | 441.2.bg.a.26.7 | yes | 216 | |
147.26 | even | 42 | inner | 441.2.bg.a.26.12 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bg.a.17.7 | ✓ | 216 | 3.2 | odd | 2 | inner | |
441.2.bg.a.17.12 | yes | 216 | 1.1 | even | 1 | trivial | |
441.2.bg.a.26.7 | yes | 216 | 49.26 | odd | 42 | inner | |
441.2.bg.a.26.12 | yes | 216 | 147.26 | even | 42 | inner |