Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(149,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.149");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2x^{9} + 2x^{8} - 4x^{7} + 51x^{6} - 124x^{5} + 154x^{4} - 46x^{3} + x^{2} + 4x + 8 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 149.2 | ||
Root | \(-1.95884 + 1.95884i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 370.149 |
Dual form | 370.2.b.d.149.9 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | − | 1.09441i | − | 0.631859i | −0.948783 | − | 0.315930i | \(-0.897684\pi\) | ||
0.948783 | − | 0.315930i | \(-0.102316\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 1.74265 | + | 1.40113i | 0.779337 | + | 0.626605i | ||||
\(6\) | −1.09441 | −0.446792 | ||||||||
\(7\) | 3.20984i | 1.21320i | 0.795006 | + | 0.606602i | \(0.207468\pi\) | ||||
−0.795006 | + | 0.606602i | \(0.792532\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 1.80226 | 0.600754 | ||||||||
\(10\) | 1.40113 | − | 1.74265i | 0.443076 | − | 0.551075i | ||||
\(11\) | 3.82327 | 1.15276 | 0.576380 | − | 0.817182i | \(-0.304465\pi\) | ||||
0.576380 | + | 0.817182i | \(0.304465\pi\) | |||||||
\(12\) | 1.09441i | 0.315930i | ||||||||
\(13\) | 0.147332i | 0.0408626i | 0.999791 | + | 0.0204313i | \(0.00650394\pi\) | ||||
−0.999791 | + | 0.0204313i | \(0.993496\pi\) | |||||||
\(14\) | 3.20984 | 0.857865 | ||||||||
\(15\) | 1.53341 | − | 1.90718i | 0.395926 | − | 0.492432i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | − | 0.978989i | − | 0.237440i | −0.992928 | − | 0.118720i | \(-0.962121\pi\) | ||
0.992928 | − | 0.118720i | \(-0.0378790\pi\) | |||||||
\(18\) | − | 1.80226i | − | 0.424797i | ||||||
\(19\) | −2.67594 | −0.613903 | −0.306951 | − | 0.951725i | \(-0.599309\pi\) | ||||
−0.306951 | + | 0.951725i | \(0.599309\pi\) | |||||||
\(20\) | −1.74265 | − | 1.40113i | −0.389669 | − | 0.313302i | ||||
\(21\) | 3.51289 | 0.766574 | ||||||||
\(22\) | − | 3.82327i | − | 0.815124i | ||||||
\(23\) | − | 2.33616i | − | 0.487122i | −0.969886 | − | 0.243561i | \(-0.921684\pi\) | ||
0.969886 | − | 0.243561i | \(-0.0783157\pi\) | |||||||
\(24\) | 1.09441 | 0.223396 | ||||||||
\(25\) | 1.07367 | + | 4.88336i | 0.214733 | + | 0.976673i | ||||
\(26\) | 0.147332 | 0.0288942 | ||||||||
\(27\) | − | 5.25565i | − | 1.01145i | ||||||
\(28\) | − | 3.20984i | − | 0.606602i | ||||||
\(29\) | −6.30425 | −1.17067 | −0.585335 | − | 0.810792i | \(-0.699037\pi\) | ||||
−0.585335 | + | 0.810792i | \(0.699037\pi\) | |||||||
\(30\) | −1.90718 | − | 1.53341i | −0.348202 | − | 0.279962i | ||||
\(31\) | −3.62372 | −0.650839 | −0.325420 | − | 0.945570i | \(-0.605506\pi\) | ||||
−0.325420 | + | 0.945570i | \(0.605506\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | − | 4.18424i | − | 0.728382i | ||||||
\(34\) | −0.978989 | −0.167895 | ||||||||
\(35\) | −4.49740 | + | 5.59362i | −0.760199 | + | 0.945495i | ||||
\(36\) | −1.80226 | −0.300377 | ||||||||
\(37\) | − | 1.00000i | − | 0.164399i | ||||||
\(38\) | 2.67594i | 0.434095i | ||||||||
\(39\) | 0.161242 | 0.0258194 | ||||||||
\(40\) | −1.40113 | + | 1.74265i | −0.221538 | + | 0.275537i | ||||
\(41\) | 11.8265 | 1.84698 | 0.923491 | − | 0.383620i | \(-0.125323\pi\) | ||||
0.923491 | + | 0.383620i | \(0.125323\pi\) | |||||||
\(42\) | − | 3.51289i | − | 0.542050i | ||||||
\(43\) | − | 4.53390i | − | 0.691413i | −0.938343 | − | 0.345706i | \(-0.887639\pi\) | ||
0.938343 | − | 0.345706i | \(-0.112361\pi\) | |||||||
\(44\) | −3.82327 | −0.576380 | ||||||||
\(45\) | 3.14071 | + | 2.52520i | 0.468190 | + | 0.376435i | ||||
\(46\) | −2.33616 | −0.344448 | ||||||||
\(47\) | − | 6.23085i | − | 0.908863i | −0.890782 | − | 0.454431i | \(-0.849843\pi\) | ||
0.890782 | − | 0.454431i | \(-0.150157\pi\) | |||||||
\(48\) | − | 1.09441i | − | 0.157965i | ||||||
\(49\) | −3.30305 | −0.471864 | ||||||||
\(50\) | 4.88336 | − | 1.07367i | 0.690612 | − | 0.151839i | ||||
\(51\) | −1.07142 | −0.150028 | ||||||||
\(52\) | − | 0.147332i | − | 0.0204313i | ||||||
\(53\) | 11.2978i | 1.55188i | 0.630807 | + | 0.775939i | \(0.282724\pi\) | ||||
−0.630807 | + | 0.775939i | \(0.717276\pi\) | |||||||
\(54\) | −5.25565 | −0.715204 | ||||||||
\(55\) | 6.66263 | + | 5.35690i | 0.898389 | + | 0.722325i | ||||
\(56\) | −3.20984 | −0.428932 | ||||||||
\(57\) | 2.92858i | 0.387900i | ||||||||
\(58\) | 6.30425i | 0.827788i | ||||||||
\(59\) | −6.92858 | −0.902025 | −0.451012 | − | 0.892518i | \(-0.648937\pi\) | ||||
−0.451012 | + | 0.892518i | \(0.648937\pi\) | |||||||
\(60\) | −1.53341 | + | 1.90718i | −0.197963 | + | 0.246216i | ||||
\(61\) | 10.4885 | 1.34291 | 0.671457 | − | 0.741044i | \(-0.265669\pi\) | ||||
0.671457 | + | 0.741044i | \(0.265669\pi\) | |||||||
\(62\) | 3.62372i | 0.460213i | ||||||||
\(63\) | 5.78496i | 0.728837i | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −0.206432 | + | 0.256749i | −0.0256047 | + | 0.0318458i | ||||
\(66\) | −4.18424 | −0.515044 | ||||||||
\(67\) | − | 2.80936i | − | 0.343218i | −0.985165 | − | 0.171609i | \(-0.945103\pi\) | ||
0.985165 | − | 0.171609i | \(-0.0548966\pi\) | |||||||
\(68\) | 0.978989i | 0.118720i | ||||||||
\(69\) | −2.55672 | −0.307793 | ||||||||
\(70\) | 5.59362 | + | 4.49740i | 0.668566 | + | 0.537542i | ||||
\(71\) | −12.3189 | −1.46198 | −0.730990 | − | 0.682388i | \(-0.760941\pi\) | ||||
−0.730990 | + | 0.682388i | \(0.760941\pi\) | |||||||
\(72\) | 1.80226i | 0.212399i | ||||||||
\(73\) | − | 13.9966i | − | 1.63818i | −0.573665 | − | 0.819090i | \(-0.694479\pi\) | ||
0.573665 | − | 0.819090i | \(-0.305521\pi\) | |||||||
\(74\) | −1.00000 | −0.116248 | ||||||||
\(75\) | 5.34441 | − | 1.17503i | 0.617120 | − | 0.135681i | ||||
\(76\) | 2.67594 | 0.306951 | ||||||||
\(77\) | 12.2721i | 1.39853i | ||||||||
\(78\) | − | 0.161242i | − | 0.0182571i | ||||||
\(79\) | −15.6057 | −1.75578 | −0.877890 | − | 0.478861i | \(-0.841050\pi\) | ||||
−0.877890 | + | 0.478861i | \(0.841050\pi\) | |||||||
\(80\) | 1.74265 | + | 1.40113i | 0.194834 | + | 0.156651i | ||||
\(81\) | −0.345071 | −0.0383412 | ||||||||
\(82\) | − | 11.8265i | − | 1.30601i | ||||||
\(83\) | 13.5371i | 1.48589i | 0.669354 | + | 0.742944i | \(0.266571\pi\) | ||||
−0.669354 | + | 0.742944i | \(0.733429\pi\) | |||||||
\(84\) | −3.51289 | −0.383287 | ||||||||
\(85\) | 1.37169 | − | 1.70604i | 0.148781 | − | 0.185046i | ||||
\(86\) | −4.53390 | −0.488903 | ||||||||
\(87\) | 6.89945i | 0.739699i | ||||||||
\(88\) | 3.82327i | 0.407562i | ||||||||
\(89\) | 6.46929 | 0.685743 | 0.342872 | − | 0.939382i | \(-0.388600\pi\) | ||||
0.342872 | + | 0.939382i | \(0.388600\pi\) | |||||||
\(90\) | 2.52520 | − | 3.14071i | 0.266180 | − | 0.331060i | ||||
\(91\) | −0.472913 | −0.0495747 | ||||||||
\(92\) | 2.33616i | 0.243561i | ||||||||
\(93\) | 3.96585i | 0.411239i | ||||||||
\(94\) | −6.23085 | −0.642663 | ||||||||
\(95\) | −4.66323 | − | 3.74934i | −0.478437 | − | 0.384674i | ||||
\(96\) | −1.09441 | −0.111698 | ||||||||
\(97\) | 3.07063i | 0.311775i | 0.987775 | + | 0.155887i | \(0.0498237\pi\) | ||||
−0.987775 | + | 0.155887i | \(0.950176\pi\) | |||||||
\(98\) | 3.30305i | 0.333658i | ||||||||
\(99\) | 6.89054 | 0.692525 | ||||||||
\(100\) | −1.07367 | − | 4.88336i | −0.107367 | − | 0.488336i | ||||
\(101\) | −6.57513 | −0.654250 | −0.327125 | − | 0.944981i | \(-0.606080\pi\) | ||||
−0.327125 | + | 0.944981i | \(0.606080\pi\) | |||||||
\(102\) | 1.07142i | 0.106086i | ||||||||
\(103\) | − | 2.52180i | − | 0.248480i | −0.992252 | − | 0.124240i | \(-0.960351\pi\) | ||
0.992252 | − | 0.124240i | \(-0.0396493\pi\) | |||||||
\(104\) | −0.147332 | −0.0144471 | ||||||||
\(105\) | 6.12173 | + | 4.92201i | 0.597420 | + | 0.480339i | ||||
\(106\) | 11.2978 | 1.09734 | ||||||||
\(107\) | − | 5.70291i | − | 0.551321i | −0.961255 | − | 0.275661i | \(-0.911103\pi\) | ||
0.961255 | − | 0.275661i | \(-0.0888966\pi\) | |||||||
\(108\) | 5.25565i | 0.505726i | ||||||||
\(109\) | −11.9318 | −1.14286 | −0.571428 | − | 0.820652i | \(-0.693610\pi\) | ||||
−0.571428 | + | 0.820652i | \(0.693610\pi\) | |||||||
\(110\) | 5.35690 | − | 6.66263i | 0.510761 | − | 0.635257i | ||||
\(111\) | −1.09441 | −0.103877 | ||||||||
\(112\) | 3.20984i | 0.303301i | ||||||||
\(113\) | − | 2.18044i | − | 0.205119i | −0.994727 | − | 0.102559i | \(-0.967297\pi\) | ||
0.994727 | − | 0.102559i | \(-0.0327031\pi\) | |||||||
\(114\) | 2.92858 | 0.274287 | ||||||||
\(115\) | 3.27326 | − | 4.07111i | 0.305233 | − | 0.379633i | ||||
\(116\) | 6.30425 | 0.585335 | ||||||||
\(117\) | 0.265531i | 0.0245484i | ||||||||
\(118\) | 6.92858i | 0.637828i | ||||||||
\(119\) | 3.14239 | 0.288063 | ||||||||
\(120\) | 1.90718 | + | 1.53341i | 0.174101 | + | 0.139981i | ||||
\(121\) | 3.61741 | 0.328856 | ||||||||
\(122\) | − | 10.4885i | − | 0.949583i | ||||||
\(123\) | − | 12.9430i | − | 1.16703i | ||||||
\(124\) | 3.62372 | 0.325420 | ||||||||
\(125\) | −4.97120 | + | 10.0143i | −0.444638 | + | 0.895710i | ||||
\(126\) | 5.78496 | 0.515365 | ||||||||
\(127\) | 5.39390i | 0.478631i | 0.970942 | + | 0.239316i | \(0.0769231\pi\) | ||||
−0.970942 | + | 0.239316i | \(0.923077\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −4.96195 | −0.436876 | ||||||||
\(130\) | 0.256749 | + | 0.206432i | 0.0225184 | + | 0.0181053i | ||||
\(131\) | −8.97060 | −0.783765 | −0.391883 | − | 0.920015i | \(-0.628176\pi\) | ||||
−0.391883 | + | 0.920015i | \(0.628176\pi\) | |||||||
\(132\) | 4.18424i | 0.364191i | ||||||||
\(133\) | − | 8.58933i | − | 0.744789i | ||||||
\(134\) | −2.80936 | −0.242692 | ||||||||
\(135\) | 7.36386 | − | 9.15877i | 0.633780 | − | 0.788262i | ||||
\(136\) | 0.978989 | 0.0839476 | ||||||||
\(137\) | 2.70352i | 0.230978i | 0.993309 | + | 0.115489i | \(0.0368434\pi\) | ||||
−0.993309 | + | 0.115489i | \(0.963157\pi\) | |||||||
\(138\) | 2.55672i | 0.217642i | ||||||||
\(139\) | −4.30358 | −0.365025 | −0.182512 | − | 0.983204i | \(-0.558423\pi\) | ||||
−0.182512 | + | 0.983204i | \(0.558423\pi\) | |||||||
\(140\) | 4.49740 | − | 5.59362i | 0.380100 | − | 0.472748i | ||||
\(141\) | −6.81912 | −0.574273 | ||||||||
\(142\) | 12.3189i | 1.03378i | ||||||||
\(143\) | 0.563292i | 0.0471048i | ||||||||
\(144\) | 1.80226 | 0.150188 | ||||||||
\(145\) | −10.9861 | − | 8.83308i | −0.912346 | − | 0.733547i | ||||
\(146\) | −13.9966 | −1.15837 | ||||||||
\(147\) | 3.61490i | 0.298152i | ||||||||
\(148\) | 1.00000i | 0.0821995i | ||||||||
\(149\) | −21.6949 | −1.77732 | −0.888659 | − | 0.458568i | \(-0.848362\pi\) | ||||
−0.888659 | + | 0.458568i | \(0.848362\pi\) | |||||||
\(150\) | −1.17503 | − | 5.34441i | −0.0959411 | − | 0.436370i | ||||
\(151\) | 2.06744 | 0.168246 | 0.0841230 | − | 0.996455i | \(-0.473191\pi\) | ||||
0.0841230 | + | 0.996455i | \(0.473191\pi\) | |||||||
\(152\) | − | 2.67594i | − | 0.217047i | ||||||
\(153\) | − | 1.76439i | − | 0.142643i | ||||||
\(154\) | 12.2721 | 0.988912 | ||||||||
\(155\) | −6.31488 | − | 5.07731i | −0.507223 | − | 0.407819i | ||||
\(156\) | −0.161242 | −0.0129097 | ||||||||
\(157\) | − | 18.5439i | − | 1.47996i | −0.672627 | − | 0.739982i | \(-0.734834\pi\) | ||
0.672627 | − | 0.739982i | \(-0.265166\pi\) | |||||||
\(158\) | 15.6057i | 1.24152i | ||||||||
\(159\) | 12.3645 | 0.980569 | ||||||||
\(160\) | 1.40113 | − | 1.74265i | 0.110769 | − | 0.137769i | ||||
\(161\) | 7.49868 | 0.590979 | ||||||||
\(162\) | 0.345071i | 0.0271113i | ||||||||
\(163\) | − | 21.6240i | − | 1.69372i | −0.531817 | − | 0.846860i | \(-0.678490\pi\) | ||
0.531817 | − | 0.846860i | \(-0.321510\pi\) | |||||||
\(164\) | −11.8265 | −0.923491 | ||||||||
\(165\) | 5.86266 | − | 7.29167i | 0.456408 | − | 0.567655i | ||||
\(166\) | 13.5371 | 1.05068 | ||||||||
\(167\) | 11.7729i | 0.911012i | 0.890233 | + | 0.455506i | \(0.150542\pi\) | ||||
−0.890233 | + | 0.455506i | \(0.849458\pi\) | |||||||
\(168\) | 3.51289i | 0.271025i | ||||||||
\(169\) | 12.9783 | 0.998330 | ||||||||
\(170\) | −1.70604 | − | 1.37169i | −0.130847 | − | 0.105204i | ||||
\(171\) | −4.82274 | −0.368804 | ||||||||
\(172\) | 4.53390i | 0.345706i | ||||||||
\(173\) | 14.0158i | 1.06560i | 0.846240 | + | 0.532801i | \(0.178861\pi\) | ||||
−0.846240 | + | 0.532801i | \(0.821139\pi\) | |||||||
\(174\) | 6.89945 | 0.523046 | ||||||||
\(175\) | −15.6748 | + | 3.44629i | −1.18490 | + | 0.260515i | ||||
\(176\) | 3.82327 | 0.288190 | ||||||||
\(177\) | 7.58273i | 0.569953i | ||||||||
\(178\) | − | 6.46929i | − | 0.484894i | ||||||
\(179\) | 12.4160 | 0.928019 | 0.464009 | − | 0.885830i | \(-0.346410\pi\) | ||||
0.464009 | + | 0.885830i | \(0.346410\pi\) | |||||||
\(180\) | −3.14071 | − | 2.52520i | −0.234095 | − | 0.188218i | ||||
\(181\) | 8.19748 | 0.609314 | 0.304657 | − | 0.952462i | \(-0.401458\pi\) | ||||
0.304657 | + | 0.952462i | \(0.401458\pi\) | |||||||
\(182\) | 0.472913i | 0.0350546i | ||||||||
\(183\) | − | 11.4787i | − | 0.848532i | ||||||
\(184\) | 2.33616 | 0.172224 | ||||||||
\(185\) | 1.40113 | − | 1.74265i | 0.103013 | − | 0.128122i | ||||
\(186\) | 3.96585 | 0.290790 | ||||||||
\(187\) | − | 3.74294i | − | 0.273711i | ||||||
\(188\) | 6.23085i | 0.454431i | ||||||||
\(189\) | 16.8698 | 1.22710 | ||||||||
\(190\) | −3.74934 | + | 4.66323i | −0.272006 | + | 0.338306i | ||||
\(191\) | 8.00137 | 0.578959 | 0.289479 | − | 0.957184i | \(-0.406518\pi\) | ||||
0.289479 | + | 0.957184i | \(0.406518\pi\) | |||||||
\(192\) | 1.09441i | 0.0789824i | ||||||||
\(193\) | − | 14.0420i | − | 1.01077i | −0.862895 | − | 0.505383i | \(-0.831351\pi\) | ||
0.862895 | − | 0.505383i | \(-0.168649\pi\) | |||||||
\(194\) | 3.07063 | 0.220458 | ||||||||
\(195\) | 0.280989 | + | 0.225922i | 0.0201221 | + | 0.0161786i | ||||
\(196\) | 3.30305 | 0.235932 | ||||||||
\(197\) | − | 3.36608i | − | 0.239823i | −0.992785 | − | 0.119912i | \(-0.961739\pi\) | ||
0.992785 | − | 0.119912i | \(-0.0382612\pi\) | |||||||
\(198\) | − | 6.89054i | − | 0.489689i | ||||||
\(199\) | 14.8890 | 1.05545 | 0.527725 | − | 0.849415i | \(-0.323045\pi\) | ||||
0.527725 | + | 0.849415i | \(0.323045\pi\) | |||||||
\(200\) | −4.88336 | + | 1.07367i | −0.345306 | + | 0.0759197i | ||||
\(201\) | −3.07460 | −0.216866 | ||||||||
\(202\) | 6.57513i | 0.462624i | ||||||||
\(203\) | − | 20.2356i | − | 1.42026i | ||||||
\(204\) | 1.07142 | 0.0750142 | ||||||||
\(205\) | 20.6094 | + | 16.5704i | 1.43942 | + | 1.15733i | ||||
\(206\) | −2.52180 | −0.175702 | ||||||||
\(207\) | − | 4.21037i | − | 0.292641i | ||||||
\(208\) | 0.147332i | 0.0102157i | ||||||||
\(209\) | −10.2308 | −0.707683 | ||||||||
\(210\) | 4.92201 | − | 6.12173i | 0.339651 | − | 0.422440i | ||||
\(211\) | −9.80544 | −0.675035 | −0.337517 | − | 0.941319i | \(-0.609587\pi\) | ||||
−0.337517 | + | 0.941319i | \(0.609587\pi\) | |||||||
\(212\) | − | 11.2978i | − | 0.775939i | ||||||
\(213\) | 13.4819i | 0.923766i | ||||||||
\(214\) | −5.70291 | −0.389843 | ||||||||
\(215\) | 6.35258 | − | 7.90100i | 0.433242 | − | 0.538844i | ||||
\(216\) | 5.25565 | 0.357602 | ||||||||
\(217\) | − | 11.6316i | − | 0.789601i | ||||||
\(218\) | 11.9318i | 0.808121i | ||||||||
\(219\) | −15.3181 | −1.03510 | ||||||||
\(220\) | −6.66263 | − | 5.35690i | −0.449194 | − | 0.361162i | ||||
\(221\) | 0.144237 | 0.00970241 | ||||||||
\(222\) | 1.09441i | 0.0734522i | ||||||||
\(223\) | − | 15.4447i | − | 1.03425i | −0.855910 | − | 0.517125i | \(-0.827002\pi\) | ||
0.855910 | − | 0.517125i | \(-0.172998\pi\) | |||||||
\(224\) | 3.20984 | 0.214466 | ||||||||
\(225\) | 1.93503 | + | 8.80110i | 0.129002 | + | 0.586740i | ||||
\(226\) | −2.18044 | −0.145041 | ||||||||
\(227\) | − | 6.46090i | − | 0.428825i | −0.976743 | − | 0.214413i | \(-0.931216\pi\) | ||
0.976743 | − | 0.214413i | \(-0.0687837\pi\) | |||||||
\(228\) | − | 2.92858i | − | 0.193950i | ||||||
\(229\) | −7.97458 | −0.526975 | −0.263488 | − | 0.964663i | \(-0.584873\pi\) | ||||
−0.263488 | + | 0.964663i | \(0.584873\pi\) | |||||||
\(230\) | −4.07111 | − | 3.27326i | −0.268441 | − | 0.215832i | ||||
\(231\) | 13.4307 | 0.883676 | ||||||||
\(232\) | − | 6.30425i | − | 0.413894i | ||||||
\(233\) | 25.2907i | 1.65685i | 0.560103 | + | 0.828423i | \(0.310762\pi\) | ||||
−0.560103 | + | 0.828423i | \(0.689238\pi\) | |||||||
\(234\) | 0.265531 | 0.0173583 | ||||||||
\(235\) | 8.73023 | − | 10.8582i | 0.569497 | − | 0.708310i | ||||
\(236\) | 6.92858 | 0.451012 | ||||||||
\(237\) | 17.0791i | 1.10941i | ||||||||
\(238\) | − | 3.14239i | − | 0.203691i | ||||||
\(239\) | −5.11481 | −0.330850 | −0.165425 | − | 0.986222i | \(-0.552900\pi\) | ||||
−0.165425 | + | 0.986222i | \(0.552900\pi\) | |||||||
\(240\) | 1.53341 | − | 1.90718i | 0.0989815 | − | 0.123108i | ||||
\(241\) | 16.4415 | 1.05909 | 0.529544 | − | 0.848282i | \(-0.322363\pi\) | ||||
0.529544 | + | 0.848282i | \(0.322363\pi\) | |||||||
\(242\) | − | 3.61741i | − | 0.232536i | ||||||
\(243\) | − | 15.3893i | − | 0.987225i | ||||||
\(244\) | −10.4885 | −0.671457 | ||||||||
\(245\) | −5.75606 | − | 4.62800i | −0.367741 | − | 0.295672i | ||||
\(246\) | −12.9430 | −0.825217 | ||||||||
\(247\) | − | 0.394252i | − | 0.0250857i | ||||||
\(248\) | − | 3.62372i | − | 0.230107i | ||||||
\(249\) | 14.8152 | 0.938872 | ||||||||
\(250\) | 10.0143 | + | 4.97120i | 0.633363 | + | 0.314407i | ||||
\(251\) | 6.35586 | 0.401178 | 0.200589 | − | 0.979675i | \(-0.435714\pi\) | ||||
0.200589 | + | 0.979675i | \(0.435714\pi\) | |||||||
\(252\) | − | 5.78496i | − | 0.364418i | ||||||
\(253\) | − | 8.93177i | − | 0.561535i | ||||||
\(254\) | 5.39390 | 0.338444 | ||||||||
\(255\) | −1.86711 | − | 1.50120i | −0.116923 | − | 0.0940085i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 5.45772i | 0.340443i | 0.985406 | + | 0.170222i | \(0.0544484\pi\) | ||||
−0.985406 | + | 0.170222i | \(0.945552\pi\) | |||||||
\(258\) | 4.96195i | 0.308918i | ||||||||
\(259\) | 3.20984 | 0.199450 | ||||||||
\(260\) | 0.206432 | − | 0.256749i | 0.0128024 | − | 0.0159229i | ||||
\(261\) | −11.3619 | −0.703284 | ||||||||
\(262\) | 8.97060i | 0.554206i | ||||||||
\(263\) | − | 14.8882i | − | 0.918044i | −0.888425 | − | 0.459022i | \(-0.848200\pi\) | ||
0.888425 | − | 0.459022i | \(-0.151800\pi\) | |||||||
\(264\) | 4.18424 | 0.257522 | ||||||||
\(265\) | −15.8298 | + | 19.6882i | −0.972414 | + | 1.20944i | ||||
\(266\) | −8.58933 | −0.526646 | ||||||||
\(267\) | − | 7.08007i | − | 0.433293i | ||||||
\(268\) | 2.80936i | 0.171609i | ||||||||
\(269\) | −15.5573 | −0.948546 | −0.474273 | − | 0.880378i | \(-0.657289\pi\) | ||||
−0.474273 | + | 0.880378i | \(0.657289\pi\) | |||||||
\(270\) | −9.15877 | − | 7.36386i | −0.557385 | − | 0.448150i | ||||
\(271\) | 0.462920 | 0.0281204 | 0.0140602 | − | 0.999901i | \(-0.495524\pi\) | ||||
0.0140602 | + | 0.999901i | \(0.495524\pi\) | |||||||
\(272\) | − | 0.978989i | − | 0.0593599i | ||||||
\(273\) | 0.517562i | 0.0313242i | ||||||||
\(274\) | 2.70352 | 0.163326 | ||||||||
\(275\) | 4.10492 | + | 18.6704i | 0.247536 | + | 1.12587i | ||||
\(276\) | 2.55672 | 0.153896 | ||||||||
\(277\) | − | 9.12112i | − | 0.548035i | −0.961725 | − | 0.274018i | \(-0.911647\pi\) | ||
0.961725 | − | 0.274018i | \(-0.0883526\pi\) | |||||||
\(278\) | 4.30358i | 0.258111i | ||||||||
\(279\) | −6.53089 | −0.390994 | ||||||||
\(280\) | −5.59362 | − | 4.49740i | −0.334283 | − | 0.268771i | ||||
\(281\) | −24.8734 | −1.48382 | −0.741912 | − | 0.670497i | \(-0.766081\pi\) | ||||
−0.741912 | + | 0.670497i | \(0.766081\pi\) | |||||||
\(282\) | 6.81912i | 0.406073i | ||||||||
\(283\) | 19.7259i | 1.17258i | 0.810100 | + | 0.586292i | \(0.199413\pi\) | ||||
−0.810100 | + | 0.586292i | \(0.800587\pi\) | |||||||
\(284\) | 12.3189 | 0.730990 | ||||||||
\(285\) | −4.10333 | + | 5.10350i | −0.243060 | + | 0.302305i | ||||
\(286\) | 0.563292 | 0.0333081 | ||||||||
\(287\) | 37.9610i | 2.24077i | ||||||||
\(288\) | − | 1.80226i | − | 0.106199i | ||||||
\(289\) | 16.0416 | 0.943622 | ||||||||
\(290\) | −8.83308 | + | 10.9861i | −0.518696 | + | 0.645126i | ||||
\(291\) | 3.36053 | 0.196998 | ||||||||
\(292\) | 13.9966i | 0.819090i | ||||||||
\(293\) | − | 2.65528i | − | 0.155123i | −0.996988 | − | 0.0775615i | \(-0.975287\pi\) | ||
0.996988 | − | 0.0775615i | \(-0.0247134\pi\) | |||||||
\(294\) | 3.61490 | 0.210825 | ||||||||
\(295\) | −12.0741 | − | 9.70785i | −0.702981 | − | 0.565213i | ||||
\(296\) | 1.00000 | 0.0581238 | ||||||||
\(297\) | − | 20.0938i | − | 1.16596i | ||||||
\(298\) | 21.6949i | 1.25675i | ||||||||
\(299\) | 0.344191 | 0.0199051 | ||||||||
\(300\) | −5.34441 | + | 1.17503i | −0.308560 | + | 0.0678406i | ||||
\(301\) | 14.5531 | 0.838825 | ||||||||
\(302\) | − | 2.06744i | − | 0.118968i | ||||||
\(303\) | 7.19590i | 0.413394i | ||||||||
\(304\) | −2.67594 | −0.153476 | ||||||||
\(305\) | 18.2778 | + | 14.6957i | 1.04658 | + | 0.841476i | ||||
\(306\) | −1.76439 | −0.100864 | ||||||||
\(307\) | 25.3545i | 1.44706i | 0.690295 | + | 0.723528i | \(0.257481\pi\) | ||||
−0.690295 | + | 0.723528i | \(0.742519\pi\) | |||||||
\(308\) | − | 12.2721i | − | 0.699267i | ||||||
\(309\) | −2.75989 | −0.157005 | ||||||||
\(310\) | −5.07731 | + | 6.31488i | −0.288372 | + | 0.358661i | ||||
\(311\) | 11.1234 | 0.630748 | 0.315374 | − | 0.948967i | \(-0.397870\pi\) | ||||
0.315374 | + | 0.948967i | \(0.397870\pi\) | |||||||
\(312\) | 0.161242i | 0.00912855i | ||||||||
\(313\) | 3.49109i | 0.197328i | 0.995121 | + | 0.0986640i | \(0.0314569\pi\) | ||||
−0.995121 | + | 0.0986640i | \(0.968543\pi\) | |||||||
\(314\) | −18.5439 | −1.04649 | ||||||||
\(315\) | −8.10549 | + | 10.0812i | −0.456693 | + | 0.568010i | ||||
\(316\) | 15.6057 | 0.877890 | ||||||||
\(317\) | − | 18.3656i | − | 1.03152i | −0.856734 | − | 0.515759i | \(-0.827510\pi\) | ||
0.856734 | − | 0.515759i | \(-0.172490\pi\) | |||||||
\(318\) | − | 12.3645i | − | 0.693367i | ||||||
\(319\) | −24.1029 | −1.34950 | ||||||||
\(320\) | −1.74265 | − | 1.40113i | −0.0974172 | − | 0.0783256i | ||||
\(321\) | −6.24134 | −0.348357 | ||||||||
\(322\) | − | 7.49868i | − | 0.417885i | ||||||
\(323\) | 2.61972i | 0.145765i | ||||||||
\(324\) | 0.345071 | 0.0191706 | ||||||||
\(325\) | −0.719477 | + | 0.158186i | −0.0399094 | + | 0.00877457i | ||||
\(326\) | −21.6240 | −1.19764 | ||||||||
\(327\) | 13.0583i | 0.722124i | ||||||||
\(328\) | 11.8265i | 0.653007i | ||||||||
\(329\) | 20.0000 | 1.10264 | ||||||||
\(330\) | −7.29167 | − | 5.86266i | −0.401393 | − | 0.322729i | ||||
\(331\) | −21.9365 | −1.20574 | −0.602870 | − | 0.797839i | \(-0.705976\pi\) | ||||
−0.602870 | + | 0.797839i | \(0.705976\pi\) | |||||||
\(332\) | − | 13.5371i | − | 0.742944i | ||||||
\(333\) | − | 1.80226i | − | 0.0987633i | ||||||
\(334\) | 11.7729 | 0.644183 | ||||||||
\(335\) | 3.93628 | − | 4.89574i | 0.215062 | − | 0.267483i | ||||
\(336\) | 3.51289 | 0.191644 | ||||||||
\(337\) | 8.65472i | 0.471453i | 0.971819 | + | 0.235726i | \(0.0757469\pi\) | ||||
−0.971819 | + | 0.235726i | \(0.924253\pi\) | |||||||
\(338\) | − | 12.9783i | − | 0.705926i | ||||||
\(339\) | −2.38630 | −0.129606 | ||||||||
\(340\) | −1.37169 | + | 1.70604i | −0.0743904 | + | 0.0925228i | ||||
\(341\) | −13.8545 | −0.750262 | ||||||||
\(342\) | 4.82274i | 0.260784i | ||||||||
\(343\) | 11.8666i | 0.640737i | ||||||||
\(344\) | 4.53390 | 0.244451 | ||||||||
\(345\) | −4.45547 | − | 3.58230i | −0.239874 | − | 0.192864i | ||||
\(346\) | 14.0158 | 0.753495 | ||||||||
\(347\) | 21.3265i | 1.14486i | 0.819952 | + | 0.572432i | \(0.194000\pi\) | ||||
−0.819952 | + | 0.572432i | \(0.806000\pi\) | |||||||
\(348\) | − | 6.89945i | − | 0.369849i | ||||||
\(349\) | 1.16305 | 0.0622569 | 0.0311285 | − | 0.999515i | \(-0.490090\pi\) | ||||
0.0311285 | + | 0.999515i | \(0.490090\pi\) | |||||||
\(350\) | 3.44629 | + | 15.6748i | 0.184212 | + | 0.837853i | ||||
\(351\) | 0.774328 | 0.0413306 | ||||||||
\(352\) | − | 3.82327i | − | 0.203781i | ||||||
\(353\) | − | 0.470079i | − | 0.0250198i | −0.999922 | − | 0.0125099i | \(-0.996018\pi\) | ||
0.999922 | − | 0.0125099i | \(-0.00398213\pi\) | |||||||
\(354\) | 7.58273 | 0.403017 | ||||||||
\(355\) | −21.4675 | − | 17.2603i | −1.13938 | − | 0.916083i | ||||
\(356\) | −6.46929 | −0.342872 | ||||||||
\(357\) | − | 3.43908i | − | 0.182015i | ||||||
\(358\) | − | 12.4160i | − | 0.656208i | ||||||
\(359\) | 33.3086 | 1.75796 | 0.878981 | − | 0.476856i | \(-0.158224\pi\) | ||||
0.878981 | + | 0.476856i | \(0.158224\pi\) | |||||||
\(360\) | −2.52520 | + | 3.14071i | −0.133090 | + | 0.165530i | ||||
\(361\) | −11.8393 | −0.623123 | ||||||||
\(362\) | − | 8.19748i | − | 0.430850i | ||||||
\(363\) | − | 3.95894i | − | 0.207790i | ||||||
\(364\) | 0.472913 | 0.0247874 | ||||||||
\(365\) | 19.6111 | − | 24.3912i | 1.02649 | − | 1.27669i | ||||
\(366\) | −11.4787 | −0.600003 | ||||||||
\(367\) | 11.1884i | 0.584029i | 0.956414 | + | 0.292014i | \(0.0943255\pi\) | ||||
−0.956414 | + | 0.292014i | \(0.905674\pi\) | |||||||
\(368\) | − | 2.33616i | − | 0.121781i | ||||||
\(369\) | 21.3144 | 1.10958 | ||||||||
\(370\) | −1.74265 | − | 1.40113i | −0.0905961 | − | 0.0728413i | ||||
\(371\) | −36.2642 | −1.88275 | ||||||||
\(372\) | − | 3.96585i | − | 0.205620i | ||||||
\(373\) | 23.1634i | 1.19936i | 0.800242 | + | 0.599678i | \(0.204705\pi\) | ||||
−0.800242 | + | 0.599678i | \(0.795295\pi\) | |||||||
\(374\) | −3.74294 | −0.193543 | ||||||||
\(375\) | 10.9598 | + | 5.44055i | 0.565963 | + | 0.280949i | ||||
\(376\) | 6.23085 | 0.321331 | ||||||||
\(377\) | − | 0.928820i | − | 0.0478366i | ||||||
\(378\) | − | 16.8698i | − | 0.867688i | ||||||
\(379\) | 26.7721 | 1.37519 | 0.687595 | − | 0.726095i | \(-0.258667\pi\) | ||||
0.687595 | + | 0.726095i | \(0.258667\pi\) | |||||||
\(380\) | 4.66323 | + | 3.74934i | 0.239219 | + | 0.192337i | ||||
\(381\) | 5.90315 | 0.302428 | ||||||||
\(382\) | − | 8.00137i | − | 0.409386i | ||||||
\(383\) | 22.3189i | 1.14044i | 0.821492 | + | 0.570220i | \(0.193142\pi\) | ||||
−0.821492 | + | 0.570220i | \(0.806858\pi\) | |||||||
\(384\) | 1.09441 | 0.0558490 | ||||||||
\(385\) | −17.1948 | + | 21.3860i | −0.876327 | + | 1.08993i | ||||
\(386\) | −14.0420 | −0.714720 | ||||||||
\(387\) | − | 8.17127i | − | 0.415369i | ||||||
\(388\) | − | 3.07063i | − | 0.155887i | ||||||
\(389\) | 24.3011 | 1.23211 | 0.616057 | − | 0.787701i | \(-0.288729\pi\) | ||||
0.616057 | + | 0.787701i | \(0.288729\pi\) | |||||||
\(390\) | 0.225922 | − | 0.280989i | 0.0114400 | − | 0.0142284i | ||||
\(391\) | −2.28707 | −0.115662 | ||||||||
\(392\) | − | 3.30305i | − | 0.166829i | ||||||
\(393\) | 9.81754i | 0.495229i | ||||||||
\(394\) | −3.36608 | −0.169581 | ||||||||
\(395\) | −27.1953 | − | 21.8657i | −1.36835 | − | 1.10018i | ||||
\(396\) | −6.89054 | −0.346262 | ||||||||
\(397\) | − | 28.1888i | − | 1.41476i | −0.706835 | − | 0.707378i | \(-0.749878\pi\) | ||
0.706835 | − | 0.707378i | \(-0.250122\pi\) | |||||||
\(398\) | − | 14.8890i | − | 0.746316i | ||||||
\(399\) | −9.40027 | −0.470602 | ||||||||
\(400\) | 1.07367 | + | 4.88336i | 0.0536833 | + | 0.244168i | ||||
\(401\) | −15.9528 | −0.796644 | −0.398322 | − | 0.917246i | \(-0.630407\pi\) | ||||
−0.398322 | + | 0.917246i | \(0.630407\pi\) | |||||||
\(402\) | 3.07460i | 0.153347i | ||||||||
\(403\) | − | 0.533891i | − | 0.0265950i | ||||||
\(404\) | 6.57513 | 0.327125 | ||||||||
\(405\) | −0.601339 | − | 0.483490i | −0.0298808 | − | 0.0240248i | ||||
\(406\) | −20.2356 | −1.00428 | ||||||||
\(407\) | − | 3.82327i | − | 0.189513i | ||||||
\(408\) | − | 1.07142i | − | 0.0530431i | ||||||
\(409\) | −31.6014 | −1.56259 | −0.781294 | − | 0.624164i | \(-0.785440\pi\) | ||||
−0.781294 | + | 0.624164i | \(0.785440\pi\) | |||||||
\(410\) | 16.5704 | − | 20.6094i | 0.818354 | − | 1.01783i | ||||
\(411\) | 2.95877 | 0.145945 | ||||||||
\(412\) | 2.52180i | 0.124240i | ||||||||
\(413\) | − | 22.2396i | − | 1.09434i | ||||||
\(414\) | −4.21037 | −0.206928 | ||||||||
\(415\) | −18.9672 | + | 23.5904i | −0.931064 | + | 1.15801i | ||||
\(416\) | 0.147332 | 0.00722356 | ||||||||
\(417\) | 4.70989i | 0.230644i | ||||||||
\(418\) | 10.2308i | 0.500407i | ||||||||
\(419\) | 18.4266 | 0.900197 | 0.450098 | − | 0.892979i | \(-0.351389\pi\) | ||||
0.450098 | + | 0.892979i | \(0.351389\pi\) | |||||||
\(420\) | −6.12173 | − | 4.92201i | −0.298710 | − | 0.240170i | ||||
\(421\) | −19.1570 | −0.933655 | −0.466828 | − | 0.884348i | \(-0.654603\pi\) | ||||
−0.466828 | + | 0.884348i | \(0.654603\pi\) | |||||||
\(422\) | 9.80544i | 0.477322i | ||||||||
\(423\) | − | 11.2296i | − | 0.546003i | ||||||
\(424\) | −11.2978 | −0.548672 | ||||||||
\(425\) | 4.78076 | − | 1.05111i | 0.231901 | − | 0.0509862i | ||||
\(426\) | 13.4819 | 0.653201 | ||||||||
\(427\) | 33.6663i | 1.62923i | ||||||||
\(428\) | 5.70291i | 0.275661i | ||||||||
\(429\) | 0.616473 | 0.0297636 | ||||||||
\(430\) | −7.90100 | − | 6.35258i | −0.381020 | − | 0.306349i | ||||
\(431\) | −10.3947 | −0.500694 | −0.250347 | − | 0.968156i | \(-0.580545\pi\) | ||||
−0.250347 | + | 0.968156i | \(0.580545\pi\) | |||||||
\(432\) | − | 5.25565i | − | 0.252863i | ||||||
\(433\) | 3.36622i | 0.161770i | 0.996723 | + | 0.0808852i | \(0.0257747\pi\) | ||||
−0.996723 | + | 0.0808852i | \(0.974225\pi\) | |||||||
\(434\) | −11.6316 | −0.558332 | ||||||||
\(435\) | −9.66703 | + | 12.0233i | −0.463499 | + | 0.576475i | ||||
\(436\) | 11.9318 | 0.571428 | ||||||||
\(437\) | 6.25142i | 0.299046i | ||||||||
\(438\) | 15.3181i | 0.731926i | ||||||||
\(439\) | 32.5045 | 1.55135 | 0.775677 | − | 0.631130i | \(-0.217409\pi\) | ||||
0.775677 | + | 0.631130i | \(0.217409\pi\) | |||||||
\(440\) | −5.35690 | + | 6.66263i | −0.255380 | + | 0.317628i | ||||
\(441\) | −5.95296 | −0.283474 | ||||||||
\(442\) | − | 0.144237i | − | 0.00686064i | ||||||
\(443\) | − | 23.5479i | − | 1.11879i | −0.828900 | − | 0.559397i | \(-0.811033\pi\) | ||
0.828900 | − | 0.559397i | \(-0.188967\pi\) | |||||||
\(444\) | 1.09441 | 0.0519385 | ||||||||
\(445\) | 11.2737 | + | 9.06432i | 0.534425 | + | 0.429690i | ||||
\(446\) | −15.4447 | −0.731325 | ||||||||
\(447\) | 23.7432i | 1.12302i | ||||||||
\(448\) | − | 3.20984i | − | 0.151651i | ||||||
\(449\) | −12.5629 | −0.592878 | −0.296439 | − | 0.955052i | \(-0.595799\pi\) | ||||
−0.296439 | + | 0.955052i | \(0.595799\pi\) | |||||||
\(450\) | 8.80110 | − | 1.93503i | 0.414888 | − | 0.0912180i | ||||
\(451\) | 45.2158 | 2.12913 | ||||||||
\(452\) | 2.18044i | 0.102559i | ||||||||
\(453\) | − | 2.26263i | − | 0.106308i | ||||||
\(454\) | −6.46090 | −0.303225 | ||||||||
\(455\) | −0.824122 | − | 0.662612i | −0.0386354 | − | 0.0310637i | ||||
\(456\) | −2.92858 | −0.137143 | ||||||||
\(457\) | − | 6.53390i | − | 0.305643i | −0.988254 | − | 0.152821i | \(-0.951164\pi\) | ||
0.988254 | − | 0.152821i | \(-0.0488359\pi\) | |||||||
\(458\) | 7.97458i | 0.372628i | ||||||||
\(459\) | −5.14523 | −0.240159 | ||||||||
\(460\) | −3.27326 | + | 4.07111i | −0.152617 | + | 0.189816i | ||||
\(461\) | 24.7616 | 1.15326 | 0.576631 | − | 0.817005i | \(-0.304367\pi\) | ||||
0.576631 | + | 0.817005i | \(0.304367\pi\) | |||||||
\(462\) | − | 13.4307i | − | 0.624853i | ||||||
\(463\) | 25.9239i | 1.20479i | 0.798200 | + | 0.602393i | \(0.205786\pi\) | ||||
−0.798200 | + | 0.602393i | \(0.794214\pi\) | |||||||
\(464\) | −6.30425 | −0.292667 | ||||||||
\(465\) | −5.55667 | + | 6.91109i | −0.257684 | + | 0.320494i | ||||
\(466\) | 25.2907 | 1.17157 | ||||||||
\(467\) | − | 28.8182i | − | 1.33355i | −0.745261 | − | 0.666773i | \(-0.767675\pi\) | ||
0.745261 | − | 0.666773i | \(-0.232325\pi\) | |||||||
\(468\) | − | 0.265531i | − | 0.0122742i | ||||||
\(469\) | 9.01759 | 0.416394 | ||||||||
\(470\) | −10.8582 | − | 8.73023i | −0.500851 | − | 0.402696i | ||||
\(471\) | −20.2947 | −0.935129 | ||||||||
\(472\) | − | 6.92858i | − | 0.318914i | ||||||
\(473\) | − | 17.3343i | − | 0.797033i | ||||||
\(474\) | 17.0791 | 0.784469 | ||||||||
\(475\) | −2.87307 | − | 13.0676i | −0.131825 | − | 0.599582i | ||||
\(476\) | −3.14239 | −0.144031 | ||||||||
\(477\) | 20.3617i | 0.932297i | ||||||||
\(478\) | 5.11481i | 0.233946i | ||||||||
\(479\) | 41.7873 | 1.90931 | 0.954655 | − | 0.297714i | \(-0.0962241\pi\) | ||||
0.954655 | + | 0.297714i | \(0.0962241\pi\) | |||||||
\(480\) | −1.90718 | − | 1.53341i | −0.0870504 | − | 0.0699905i | ||||
\(481\) | 0.147332 | 0.00671778 | ||||||||
\(482\) | − | 16.4415i | − | 0.748888i | ||||||
\(483\) | − | 8.20665i | − | 0.373416i | ||||||
\(484\) | −3.61741 | −0.164428 | ||||||||
\(485\) | −4.30235 | + | 5.35103i | −0.195360 | + | 0.242978i | ||||
\(486\) | −15.3893 | −0.698073 | ||||||||
\(487\) | − | 9.34463i | − | 0.423446i | −0.977330 | − | 0.211723i | \(-0.932093\pi\) | ||
0.977330 | − | 0.211723i | \(-0.0679074\pi\) | |||||||
\(488\) | 10.4885i | 0.474791i | ||||||||
\(489\) | −23.6655 | −1.07019 | ||||||||
\(490\) | −4.62800 | + | 5.75606i | −0.209072 | + | 0.260032i | ||||
\(491\) | −10.7558 | −0.485404 | −0.242702 | − | 0.970101i | \(-0.578034\pi\) | ||||
−0.242702 | + | 0.970101i | \(0.578034\pi\) | |||||||
\(492\) | 12.9430i | 0.583516i | ||||||||
\(493\) | 6.17179i | 0.277963i | ||||||||
\(494\) | −0.394252 | −0.0177383 | ||||||||
\(495\) | 12.0078 | + | 9.65454i | 0.539710 | + | 0.433939i | ||||
\(496\) | −3.62372 | −0.162710 | ||||||||
\(497\) | − | 39.5415i | − | 1.77368i | ||||||
\(498\) | − | 14.8152i | − | 0.663883i | ||||||
\(499\) | −29.0702 | −1.30136 | −0.650680 | − | 0.759352i | \(-0.725516\pi\) | ||||
−0.650680 | + | 0.759352i | \(0.725516\pi\) | |||||||
\(500\) | 4.97120 | − | 10.0143i | 0.222319 | − | 0.447855i | ||||
\(501\) | 12.8844 | 0.575631 | ||||||||
\(502\) | − | 6.35586i | − | 0.283676i | ||||||
\(503\) | 36.2683i | 1.61712i | 0.588412 | + | 0.808561i | \(0.299753\pi\) | ||||
−0.588412 | + | 0.808561i | \(0.700247\pi\) | |||||||
\(504\) | −5.78496 | −0.257683 | ||||||||
\(505\) | −11.4582 | − | 9.21261i | −0.509881 | − | 0.409956i | ||||
\(506\) | −8.93177 | −0.397065 | ||||||||
\(507\) | − | 14.2036i | − | 0.630804i | ||||||
\(508\) | − | 5.39390i | − | 0.239316i | ||||||
\(509\) | 22.2170 | 0.984751 | 0.492375 | − | 0.870383i | \(-0.336129\pi\) | ||||
0.492375 | + | 0.870383i | \(0.336129\pi\) | |||||||
\(510\) | −1.50120 | + | 1.86711i | −0.0664741 | + | 0.0826769i | ||||
\(511\) | 44.9268 | 1.98745 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 14.0638i | 0.620933i | ||||||||
\(514\) | 5.45772 | 0.240730 | ||||||||
\(515\) | 3.53337 | − | 4.39462i | 0.155699 | − | 0.193650i | ||||
\(516\) | 4.96195 | 0.218438 | ||||||||
\(517\) | − | 23.8222i | − | 1.04770i | ||||||
\(518\) | − | 3.20984i | − | 0.141032i | ||||||
\(519\) | 15.3391 | 0.673311 | ||||||||
\(520\) | −0.256749 | − | 0.206432i | −0.0112592 | − | 0.00905263i | ||||
\(521\) | 41.2732 | 1.80821 | 0.904107 | − | 0.427306i | \(-0.140537\pi\) | ||||
0.904107 | + | 0.427306i | \(0.140537\pi\) | |||||||
\(522\) | 11.3619i | 0.497297i | ||||||||
\(523\) | 11.0354i | 0.482545i | 0.970457 | + | 0.241273i | \(0.0775648\pi\) | ||||
−0.970457 | + | 0.241273i | \(0.922435\pi\) | |||||||
\(524\) | 8.97060 | 0.391883 | ||||||||
\(525\) | 3.77167 | + | 17.1547i | 0.164609 | + | 0.748692i | ||||
\(526\) | −14.8882 | −0.649155 | ||||||||
\(527\) | 3.54758i | 0.154535i | ||||||||
\(528\) | − | 4.18424i | − | 0.182096i | ||||||
\(529\) | 17.5424 | 0.762712 | ||||||||
\(530\) | 19.6882 | + | 15.8298i | 0.855201 | + | 0.687601i | ||||
\(531\) | −12.4871 | −0.541895 | ||||||||
\(532\) | 8.58933i | 0.372395i | ||||||||
\(533\) | 1.74242i | 0.0754726i | ||||||||
\(534\) | −7.08007 | −0.306385 | ||||||||
\(535\) | 7.99052 | − | 9.93818i | 0.345460 | − | 0.429665i | ||||
\(536\) | 2.80936 | 0.121346 | ||||||||
\(537\) | − | 13.5883i | − | 0.586377i | ||||||
\(538\) | 15.5573i | 0.670723i | ||||||||
\(539\) | −12.6285 | −0.543946 | ||||||||
\(540\) | −7.36386 | + | 9.15877i | −0.316890 | + | 0.394131i | ||||
\(541\) | −32.2338 | −1.38584 | −0.692920 | − | 0.721014i | \(-0.743676\pi\) | ||||
−0.692920 | + | 0.721014i | \(0.743676\pi\) | |||||||
\(542\) | − | 0.462920i | − | 0.0198841i | ||||||
\(543\) | − | 8.97142i | − | 0.385001i | ||||||
\(544\) | −0.978989 | −0.0419738 | ||||||||
\(545\) | −20.7929 | − | 16.7180i | −0.890670 | − | 0.716119i | ||||
\(546\) | 0.517562 | 0.0221496 | ||||||||
\(547\) | − | 15.0234i | − | 0.642355i | −0.947019 | − | 0.321177i | \(-0.895921\pi\) | ||
0.947019 | − | 0.321177i | \(-0.104079\pi\) | |||||||
\(548\) | − | 2.70352i | − | 0.115489i | ||||||
\(549\) | 18.9030 | 0.806760 | ||||||||
\(550\) | 18.6704 | − | 4.10492i | 0.796110 | − | 0.175034i | ||||
\(551\) | 16.8698 | 0.718677 | ||||||||
\(552\) | − | 2.55672i | − | 0.108821i | ||||||
\(553\) | − | 50.0918i | − | 2.13012i | ||||||
\(554\) | −9.12112 | −0.387519 | ||||||||
\(555\) | −1.90718 | − | 1.53341i | −0.0809553 | − | 0.0650898i | ||||
\(556\) | 4.30358 | 0.182512 | ||||||||
\(557\) | − | 39.1275i | − | 1.65788i | −0.559334 | − | 0.828942i | \(-0.688943\pi\) | ||
0.559334 | − | 0.828942i | \(-0.311057\pi\) | |||||||
\(558\) | 6.53089i | 0.276475i | ||||||||
\(559\) | 0.667989 | 0.0282529 | ||||||||
\(560\) | −4.49740 | + | 5.59362i | −0.190050 | + | 0.236374i | ||||
\(561\) | −4.09632 | −0.172947 | ||||||||
\(562\) | 24.8734i | 1.04922i | ||||||||
\(563\) | − | 27.1970i | − | 1.14622i | −0.819479 | − | 0.573109i | \(-0.805737\pi\) | ||
0.819479 | − | 0.573109i | \(-0.194263\pi\) | |||||||
\(564\) | 6.81912 | 0.287137 | ||||||||
\(565\) | 3.05508 | − | 3.79975i | 0.128528 | − | 0.159857i | ||||
\(566\) | 19.7259 | 0.829142 | ||||||||
\(567\) | − | 1.10762i | − | 0.0465157i | ||||||
\(568\) | − | 12.3189i | − | 0.516888i | ||||||
\(569\) | 33.4499 | 1.40229 | 0.701146 | − | 0.713018i | \(-0.252672\pi\) | ||||
0.701146 | + | 0.713018i | \(0.252672\pi\) | |||||||
\(570\) | 5.10350 | + | 4.10333i | 0.213762 | + | 0.171869i | ||||
\(571\) | 28.9145 | 1.21003 | 0.605017 | − | 0.796213i | \(-0.293166\pi\) | ||||
0.605017 | + | 0.796213i | \(0.293166\pi\) | |||||||
\(572\) | − | 0.563292i | − | 0.0235524i | ||||||
\(573\) | − | 8.75680i | − | 0.365821i | ||||||
\(574\) | 37.9610 | 1.58446 | ||||||||
\(575\) | 11.4083 | − | 2.50825i | 0.475759 | − | 0.104601i | ||||
\(576\) | −1.80226 | −0.0750942 | ||||||||
\(577\) | − | 33.5613i | − | 1.39717i | −0.715525 | − | 0.698587i | \(-0.753812\pi\) | ||
0.715525 | − | 0.698587i | \(-0.246188\pi\) | |||||||
\(578\) | − | 16.0416i | − | 0.667242i | ||||||
\(579\) | −15.3678 | −0.638663 | ||||||||
\(580\) | 10.9861 | + | 8.83308i | 0.456173 | + | 0.366774i | ||||
\(581\) | −43.4518 | −1.80268 | ||||||||
\(582\) | − | 3.36053i | − | 0.139299i | ||||||
\(583\) | 43.1948i | 1.78894i | ||||||||
\(584\) | 13.9966 | 0.579184 | ||||||||
\(585\) | −0.372044 | + | 0.462728i | −0.0153821 | + | 0.0191315i | ||||
\(586\) | −2.65528 | −0.109689 | ||||||||
\(587\) | 4.83581i | 0.199595i | 0.995008 | + | 0.0997976i | \(0.0318195\pi\) | ||||
−0.995008 | + | 0.0997976i | \(0.968180\pi\) | |||||||
\(588\) | − | 3.61490i | − | 0.149076i | ||||||
\(589\) | 9.69686 | 0.399552 | ||||||||
\(590\) | −9.70785 | + | 12.0741i | −0.399666 | + | 0.497083i | ||||
\(591\) | −3.68388 | −0.151535 | ||||||||
\(592\) | − | 1.00000i | − | 0.0410997i | ||||||
\(593\) | 43.1680i | 1.77270i | 0.463020 | + | 0.886348i | \(0.346766\pi\) | ||||
−0.463020 | + | 0.886348i | \(0.653234\pi\) | |||||||
\(594\) | −20.0938 | −0.824459 | ||||||||
\(595\) | 5.47610 | + | 4.40290i | 0.224498 | + | 0.180501i | ||||
\(596\) | 21.6949 | 0.888659 | ||||||||
\(597\) | − | 16.2947i | − | 0.666896i | ||||||
\(598\) | − | 0.344191i | − | 0.0140750i | ||||||
\(599\) | 38.7714 | 1.58416 | 0.792078 | − | 0.610420i | \(-0.208999\pi\) | ||||
0.792078 | + | 0.610420i | \(0.208999\pi\) | |||||||
\(600\) | 1.17503 | + | 5.34441i | 0.0479706 | + | 0.218185i | ||||
\(601\) | 1.56064 | 0.0636597 | 0.0318299 | − | 0.999493i | \(-0.489867\pi\) | ||||
0.0318299 | + | 0.999493i | \(0.489867\pi\) | |||||||
\(602\) | − | 14.5531i | − | 0.593139i | ||||||
\(603\) | − | 5.06320i | − | 0.206190i | ||||||
\(604\) | −2.06744 | −0.0841230 | ||||||||
\(605\) | 6.30389 | + | 5.06847i | 0.256289 | + | 0.206062i | ||||
\(606\) | 7.19590 | 0.292314 | ||||||||
\(607\) | − | 21.0494i | − | 0.854370i | −0.904164 | − | 0.427185i | \(-0.859505\pi\) | ||
0.904164 | − | 0.427185i | \(-0.140495\pi\) | |||||||
\(608\) | 2.67594i | 0.108524i | ||||||||
\(609\) | −22.1461 | −0.897405 | ||||||||
\(610\) | 14.6957 | − | 18.2778i | 0.595013 | − | 0.740045i | ||||
\(611\) | 0.918005 | 0.0371385 | ||||||||
\(612\) | 1.76439i | 0.0713214i | ||||||||
\(613\) | − | 5.28786i | − | 0.213574i | −0.994282 | − | 0.106787i | \(-0.965944\pi\) | ||
0.994282 | − | 0.106787i | \(-0.0340564\pi\) | |||||||
\(614\) | 25.3545 | 1.02322 | ||||||||
\(615\) | 18.1349 | − | 22.5552i | 0.731268 | − | 0.909512i | ||||
\(616\) | −12.2721 | −0.494456 | ||||||||
\(617\) | 34.8545i | 1.40319i | 0.712576 | + | 0.701595i | \(0.247528\pi\) | ||||
−0.712576 | + | 0.701595i | \(0.752472\pi\) | |||||||
\(618\) | 2.75989i | 0.111019i | ||||||||
\(619\) | 7.30122 | 0.293461 | 0.146730 | − | 0.989177i | \(-0.453125\pi\) | ||||
0.146730 | + | 0.989177i | \(0.453125\pi\) | |||||||
\(620\) | 6.31488 | + | 5.07731i | 0.253612 | + | 0.203910i | ||||
\(621\) | −12.2780 | −0.492701 | ||||||||
\(622\) | − | 11.1234i | − | 0.446006i | ||||||
\(623\) | 20.7654i | 0.831946i | ||||||||
\(624\) | 0.161242 | 0.00645486 | ||||||||
\(625\) | −22.6945 | + | 10.4862i | −0.907779 | + | 0.419448i | ||||
\(626\) | 3.49109 | 0.139532 | ||||||||
\(627\) | 11.1968i | 0.447156i | ||||||||
\(628\) | 18.5439i | 0.739982i | ||||||||
\(629\) | −0.978989 | −0.0390348 | ||||||||
\(630\) | 10.0812 | + | 8.10549i | 0.401644 | + | 0.322930i | ||||
\(631\) | 24.2752 | 0.966381 | 0.483190 | − | 0.875515i | \(-0.339478\pi\) | ||||
0.483190 | + | 0.875515i | \(0.339478\pi\) | |||||||
\(632\) | − | 15.6057i | − | 0.620762i | ||||||
\(633\) | 10.7312i | 0.426527i | ||||||||
\(634\) | −18.3656 | −0.729393 | ||||||||
\(635\) | −7.55756 | + | 9.39969i | −0.299913 | + | 0.373015i | ||||
\(636\) | −12.3645 | −0.490285 | ||||||||
\(637\) | − | 0.486646i | − | 0.0192816i | ||||||
\(638\) | 24.1029i | 0.954241i | ||||||||
\(639\) | −22.2018 | −0.878290 | ||||||||
\(640\) | −1.40113 | + | 1.74265i | −0.0553845 | + | 0.0688843i | ||||
\(641\) | −8.22087 | −0.324705 | −0.162353 | − | 0.986733i | \(-0.551908\pi\) | ||||
−0.162353 | + | 0.986733i | \(0.551908\pi\) | |||||||
\(642\) | 6.24134i | 0.246326i | ||||||||
\(643\) | 29.7758i | 1.17424i | 0.809499 | + | 0.587121i | \(0.199739\pi\) | ||||
−0.809499 | + | 0.587121i | \(0.800261\pi\) | |||||||
\(644\) | −7.49868 | −0.295489 | ||||||||
\(645\) | −8.64695 | − | 6.95234i | −0.340473 | − | 0.273748i | ||||
\(646\) | 2.61972 | 0.103071 | ||||||||
\(647\) | 35.6356i | 1.40098i | 0.713662 | + | 0.700490i | \(0.247035\pi\) | ||||
−0.713662 | + | 0.700490i | \(0.752965\pi\) | |||||||
\(648\) | − | 0.345071i | − | 0.0135557i | ||||||
\(649\) | −26.4899 | −1.03982 | ||||||||
\(650\) | 0.158186 | + | 0.719477i | 0.00620455 | + | 0.0282202i | ||||
\(651\) | −12.7297 | −0.498917 | ||||||||
\(652\) | 21.6240i | 0.846860i | ||||||||
\(653\) | 37.6128i | 1.47190i | 0.677035 | + | 0.735951i | \(0.263264\pi\) | ||||
−0.677035 | + | 0.735951i | \(0.736736\pi\) | |||||||
\(654\) | 13.0583 | 0.510619 | ||||||||
\(655\) | −15.6326 | − | 12.5690i | −0.610818 | − | 0.491111i | ||||
\(656\) | 11.8265 | 0.461746 | ||||||||
\(657\) | − | 25.2256i | − | 0.984142i | ||||||
\(658\) | − | 20.0000i | − | 0.779681i | ||||||
\(659\) | −45.0553 | −1.75510 | −0.877552 | − | 0.479481i | \(-0.840825\pi\) | ||||
−0.877552 | + | 0.479481i | \(0.840825\pi\) | |||||||
\(660\) | −5.86266 | + | 7.29167i | −0.228204 | + | 0.283828i | ||||
\(661\) | 7.32365 | 0.284857 | 0.142429 | − | 0.989805i | \(-0.454509\pi\) | ||||
0.142429 | + | 0.989805i | \(0.454509\pi\) | |||||||
\(662\) | 21.9365i | 0.852587i | ||||||||
\(663\) | − | 0.157854i | − | 0.00613056i | ||||||
\(664\) | −13.5371 | −0.525341 | ||||||||
\(665\) | 12.0348 | − | 14.9682i | 0.466688 | − | 0.580442i | ||||
\(666\) | −1.80226 | −0.0698362 | ||||||||
\(667\) | 14.7277i | 0.570260i | ||||||||
\(668\) | − | 11.7729i | − | 0.455506i | ||||||
\(669\) | −16.9028 | −0.653501 | ||||||||
\(670\) | −4.89574 | − | 3.93628i | −0.189139 | − | 0.152072i | ||||
\(671\) | 40.1003 | 1.54806 | ||||||||
\(672\) | − | 3.51289i | − | 0.135512i | ||||||
\(673\) | − | 8.58807i | − | 0.331046i | −0.986206 | − | 0.165523i | \(-0.947069\pi\) | ||
0.986206 | − | 0.165523i | \(-0.0529312\pi\) | |||||||
\(674\) | 8.65472 | 0.333368 | ||||||||
\(675\) | 25.6653 | − | 5.64282i | 0.987857 | − | 0.217192i | ||||
\(676\) | −12.9783 | −0.499165 | ||||||||
\(677\) | 9.13523i | 0.351096i | 0.984471 | + | 0.175548i | \(0.0561697\pi\) | ||||
−0.984471 | + | 0.175548i | \(0.943830\pi\) | |||||||
\(678\) | 2.38630i | 0.0916454i | ||||||||
\(679\) | −9.85621 | −0.378247 | ||||||||
\(680\) | 1.70604 | + | 1.37169i | 0.0654235 | + | 0.0526020i | ||||
\(681\) | −7.07089 | −0.270957 | ||||||||
\(682\) | 13.8545i | 0.530515i | ||||||||
\(683\) | − | 40.7414i | − | 1.55893i | −0.626449 | − | 0.779463i | \(-0.715492\pi\) | ||
0.626449 | − | 0.779463i | \(-0.284508\pi\) | |||||||
\(684\) | 4.82274 | 0.184402 | ||||||||
\(685\) | −3.78799 | + | 4.71130i | −0.144732 | + | 0.180009i | ||||
\(686\) | 11.8666 | 0.453069 | ||||||||
\(687\) | 8.72748i | 0.332974i | ||||||||
\(688\) | − | 4.53390i | − | 0.172853i | ||||||
\(689\) | −1.66454 | −0.0634139 | ||||||||
\(690\) | −3.58230 | + | 4.45547i | −0.136376 | + | 0.169617i | ||||
\(691\) | −28.7543 | −1.09387 | −0.546933 | − | 0.837176i | \(-0.684205\pi\) | ||||
−0.546933 | + | 0.837176i | \(0.684205\pi\) | |||||||
\(692\) | − | 14.0158i | − | 0.532801i | ||||||
\(693\) | 22.1175i | 0.840174i | ||||||||
\(694\) | 21.3265 | 0.809541 | ||||||||
\(695\) | −7.49964 | − | 6.02988i | −0.284477 | − | 0.228726i | ||||
\(696\) | −6.89945 | −0.261523 | ||||||||
\(697\) | − | 11.5780i | − | 0.438547i | ||||||
\(698\) | − | 1.16305i | − | 0.0440223i | ||||||
\(699\) | 27.6784 | 1.04689 | ||||||||
\(700\) | 15.6748 | − | 3.44629i | 0.592452 | − | 0.130258i | ||||
\(701\) | −7.87020 | −0.297253 | −0.148627 | − | 0.988893i | \(-0.547485\pi\) | ||||
−0.148627 | + | 0.988893i | \(0.547485\pi\) | |||||||
\(702\) | − | 0.774328i | − | 0.0292251i | ||||||
\(703\) | 2.67594i | 0.100925i | ||||||||
\(704\) | −3.82327 | −0.144095 | ||||||||
\(705\) | −11.8833 | − | 9.55447i | −0.447553 | − | 0.359842i | ||||
\(706\) | −0.470079 | −0.0176917 | ||||||||
\(707\) | − | 21.1051i | − | 0.793738i | ||||||
\(708\) | − | 7.58273i | − | 0.284976i | ||||||
\(709\) | −33.0458 | −1.24106 | −0.620530 | − | 0.784182i | \(-0.713083\pi\) | ||||
−0.620530 | + | 0.784182i | \(0.713083\pi\) | |||||||
\(710\) | −17.2603 | + | 21.4675i | −0.647769 | + | 0.805660i | ||||
\(711\) | −28.1256 | −1.05479 | ||||||||
\(712\) | 6.46929i | 0.242447i | ||||||||
\(713\) | 8.46558i | 0.317039i | ||||||||
\(714\) | −3.43908 | −0.128704 | ||||||||
\(715\) | −0.789245 | + | 0.981621i | −0.0295161 | + | 0.0367105i | ||||
\(716\) | −12.4160 | −0.464009 | ||||||||
\(717\) | 5.59771i | 0.209050i | ||||||||
\(718\) | − | 33.3086i | − | 1.24307i | ||||||
\(719\) | −4.94138 | −0.184282 | −0.0921412 | − | 0.995746i | \(-0.529371\pi\) | ||||
−0.0921412 | + | 0.995746i | \(0.529371\pi\) | |||||||
\(720\) | 3.14071 | + | 2.52520i | 0.117047 | + | 0.0941088i | ||||
\(721\) | 8.09456 | 0.301457 | ||||||||
\(722\) | 11.8393i | 0.440615i | ||||||||
\(723\) | − | 17.9937i | − | 0.669195i | ||||||
\(724\) | −8.19748 | −0.304657 | ||||||||
\(725\) | −6.76866 | − | 30.7859i | −0.251382 | − | 1.14336i | ||||
\(726\) | −3.95894 | −0.146930 | ||||||||
\(727\) | − | 42.5178i | − | 1.57690i | −0.615101 | − | 0.788448i | \(-0.710885\pi\) | ||
0.615101 | − | 0.788448i | \(-0.289115\pi\) | |||||||
\(728\) | − | 0.472913i | − | 0.0175273i | ||||||
\(729\) | −17.8775 | −0.662129 | ||||||||
\(730\) | −24.3912 | − | 19.6111i | −0.902759 | − | 0.725839i | ||||
\(731\) | −4.43863 | −0.164169 | ||||||||
\(732\) | 11.4787i | 0.424266i | ||||||||
\(733\) | 10.2114i | 0.377167i | 0.982057 | + | 0.188584i | \(0.0603896\pi\) | ||||
−0.982057 | + | 0.188584i | \(0.939610\pi\) | |||||||
\(734\) | 11.1884 | 0.412971 | ||||||||
\(735\) | −5.06494 | + | 6.29951i | −0.186823 | + | 0.232361i | ||||
\(736\) | −2.33616 | −0.0861119 | ||||||||
\(737\) | − | 10.7410i | − | 0.395648i | ||||||
\(738\) | − | 21.3144i | − | 0.784593i | ||||||
\(739\) | −25.5528 | −0.939975 | −0.469988 | − | 0.882673i | \(-0.655742\pi\) | ||||
−0.469988 | + | 0.882673i | \(0.655742\pi\) | |||||||
\(740\) | −1.40113 | + | 1.74265i | −0.0515066 | + | 0.0640611i | ||||
\(741\) | −0.431475 | −0.0158506 | ||||||||
\(742\) | 36.2642i | 1.33130i | ||||||||
\(743\) | 44.2852i | 1.62467i | 0.583193 | + | 0.812334i | \(0.301803\pi\) | ||||
−0.583193 | + | 0.812334i | \(0.698197\pi\) | |||||||
\(744\) | −3.96585 | −0.145395 | ||||||||
\(745\) | −37.8067 | − | 30.3974i | −1.38513 | − | 1.11368i | ||||
\(746\) | 23.1634 | 0.848072 | ||||||||
\(747\) | 24.3974i | 0.892652i | ||||||||
\(748\) | 3.74294i | 0.136855i | ||||||||
\(749\) | 18.3054 | 0.668865 | ||||||||
\(750\) | 5.44055 | − | 10.9598i | 0.198661 | − | 0.400196i | ||||
\(751\) | 41.2897 | 1.50668 | 0.753342 | − | 0.657629i | \(-0.228440\pi\) | ||||
0.753342 | + | 0.657629i | \(0.228440\pi\) | |||||||
\(752\) | − | 6.23085i | − | 0.227216i | ||||||
\(753\) | − | 6.95593i | − | 0.253488i | ||||||
\(754\) | −0.928820 | −0.0338256 | ||||||||
\(755\) | 3.60283 | + | 2.89676i | 0.131120 | + | 0.105424i | ||||
\(756\) | −16.8698 | −0.613548 | ||||||||
\(757\) | − | 6.57802i | − | 0.239082i | −0.992829 | − | 0.119541i | \(-0.961858\pi\) | ||
0.992829 | − | 0.119541i | \(-0.0381423\pi\) | |||||||
\(758\) | − | 26.7721i | − | 0.972406i | ||||||
\(759\) | −9.77504 | −0.354811 | ||||||||
\(760\) | 3.74934 | − | 4.66323i | 0.136003 | − | 0.169153i | ||||
\(761\) | 20.3166 | 0.736475 | 0.368237 | − | 0.929732i | \(-0.379961\pi\) | ||||
0.368237 | + | 0.929732i | \(0.379961\pi\) | |||||||
\(762\) | − | 5.90315i | − | 0.213849i | ||||||
\(763\) | − | 38.2990i | − | 1.38652i | ||||||
\(764\) | −8.00137 | −0.289479 | ||||||||
\(765\) | 2.47215 | − | 3.07472i | 0.0893806 | − | 0.111167i | ||||
\(766\) | 22.3189 | 0.806413 | ||||||||
\(767\) | − | 1.02080i | − | 0.0368591i | ||||||
\(768\) | − | 1.09441i | − | 0.0394912i | ||||||
\(769\) | −25.2435 | −0.910303 | −0.455151 | − | 0.890414i | \(-0.650415\pi\) | ||||
−0.455151 | + | 0.890414i | \(0.650415\pi\) | |||||||
\(770\) | 21.3860 | + | 17.1948i | 0.770696 | + | 0.619657i | ||||
\(771\) | 5.97300 | 0.215112 | ||||||||
\(772\) | 14.0420i | 0.505383i | ||||||||
\(773\) | − | 48.9781i | − | 1.76162i | −0.473470 | − | 0.880810i | \(-0.656999\pi\) | ||
0.473470 | − | 0.880810i | \(-0.343001\pi\) | |||||||
\(774\) | −8.17127 | −0.293710 | ||||||||
\(775\) | −3.89067 | − | 17.6959i | −0.139757 | − | 0.635657i | ||||
\(776\) | −3.07063 | −0.110229 | ||||||||
\(777\) | − | 3.51289i | − | 0.126024i | ||||||
\(778\) | − | 24.3011i | − | 0.871237i | ||||||
\(779\) | −31.6469 | −1.13387 | ||||||||
\(780\) | −0.280989 | − | 0.225922i | −0.0100610 | − | 0.00808929i | ||||
\(781\) | −47.0984 | −1.68531 | ||||||||
\(782\) | 2.28707i | 0.0817855i | ||||||||
\(783\) | 33.1330i | 1.18408i | ||||||||
\(784\) | −3.30305 | −0.117966 | ||||||||
\(785\) | 25.9824 | − | 32.3155i | 0.927352 | − | 1.15339i | ||||
\(786\) | 9.81754 | 0.350180 | ||||||||
\(787\) | 3.78073i | 0.134768i | 0.997727 | + | 0.0673842i | \(0.0214653\pi\) | ||||
−0.997727 | + | 0.0673842i | \(0.978535\pi\) | |||||||
\(788\) | 3.36608i | 0.119912i | ||||||||
\(789\) | −16.2938 | −0.580075 | ||||||||
\(790\) | −21.8657 | + | 27.1953i | −0.777945 | + | 0.967566i | ||||
\(791\) | 6.99886 | 0.248851 | ||||||||
\(792\) | 6.89054i | 0.244845i | ||||||||
\(793\) | 1.54529i | 0.0548750i | ||||||||
\(794\) | −28.1888 | −1.00038 | ||||||||
\(795\) | 21.5470 | + | 17.3243i | 0.764194 | + | 0.614429i | ||||
\(796\) | −14.8890 | −0.527725 | ||||||||
\(797\) | 29.5487i | 1.04667i | 0.852128 | + | 0.523334i | \(0.175312\pi\) | ||||
−0.852128 | + | 0.523334i | \(0.824688\pi\) | |||||||
\(798\) | 9.40027i | 0.332766i | ||||||||
\(799\) | −6.09993 | −0.215800 | ||||||||
\(800\) | 4.88336 | − | 1.07367i | 0.172653 | − | 0.0379598i | ||||
\(801\) | 11.6593 | 0.411963 | ||||||||
\(802\) | 15.9528i | 0.563312i | ||||||||
\(803\) | − | 53.5129i | − | 1.88843i | ||||||
\(804\) | 3.07460 | 0.108433 | ||||||||
\(805\) | 13.0676 | + | 10.5066i | 0.460572 | + | 0.370310i | ||||
\(806\) | −0.533891 | −0.0188055 | ||||||||
\(807\) | 17.0261i | 0.599348i | ||||||||
\(808\) | − | 6.57513i | − | 0.231312i | ||||||
\(809\) | −47.4231 | −1.66731 | −0.833654 | − | 0.552287i | \(-0.813755\pi\) | ||||
−0.833654 | + | 0.552287i | \(0.813755\pi\) | |||||||
\(810\) | −0.483490 | + | 0.601339i | −0.0169881 | + | 0.0211289i | ||||
\(811\) | 25.6962 | 0.902317 | 0.451159 | − | 0.892444i | \(-0.351011\pi\) | ||||
0.451159 | + | 0.892444i | \(0.351011\pi\) | |||||||
\(812\) | 20.2356i | 0.710131i | ||||||||
\(813\) | − | 0.506626i | − | 0.0177681i | ||||||
\(814\) | −3.82327 | −0.134006 | ||||||||
\(815\) | 30.2980 | − | 37.6830i | 1.06129 | − | 1.31998i | ||||
\(816\) | −1.07142 | −0.0375071 | ||||||||
\(817\) | 12.1324i | 0.424460i | ||||||||
\(818\) | 31.6014i | 1.10492i | ||||||||
\(819\) | −0.852312 | −0.0297822 | ||||||||
\(820\) | −20.6094 | − | 16.5704i | −0.719711 | − | 0.578664i | ||||
\(821\) | 0.286013 | 0.00998192 | 0.00499096 | − | 0.999988i | \(-0.498411\pi\) | ||||
0.00499096 | + | 0.999988i | \(0.498411\pi\) | |||||||
\(822\) | − | 2.95877i | − | 0.103199i | ||||||
\(823\) | 44.6093i | 1.55498i | 0.628893 | + | 0.777491i | \(0.283508\pi\) | ||||
−0.628893 | + | 0.777491i | \(0.716492\pi\) | |||||||
\(824\) | 2.52180 | 0.0878510 | ||||||||
\(825\) | 20.4332 | − | 4.49247i | 0.711391 | − | 0.156408i | ||||
\(826\) | −22.2396 | −0.773815 | ||||||||
\(827\) | 55.1277i | 1.91698i | 0.285131 | + | 0.958488i | \(0.407963\pi\) | ||||
−0.285131 | + | 0.958488i | \(0.592037\pi\) | |||||||
\(828\) | 4.21037i | 0.146320i | ||||||||
\(829\) | 17.2029 | 0.597482 | 0.298741 | − | 0.954334i | \(-0.403433\pi\) | ||||
0.298741 | + | 0.954334i | \(0.403433\pi\) | |||||||
\(830\) | 23.5904 | + | 18.9672i | 0.818835 | + | 0.658362i | ||||
\(831\) | −9.98227 | −0.346281 | ||||||||
\(832\) | − | 0.147332i | − | 0.00510783i | ||||||
\(833\) | 3.23365i | 0.112039i | ||||||||
\(834\) | 4.70989 | 0.163090 | ||||||||
\(835\) | −16.4953 | + | 20.5160i | −0.570844 | + | 0.709985i | ||||
\(836\) | 10.2308 | 0.353841 | ||||||||
\(837\) | 19.0450i | 0.658292i | ||||||||
\(838\) | − | 18.4266i | − | 0.636535i | ||||||
\(839\) | −27.3527 | −0.944320 | −0.472160 | − | 0.881513i | \(-0.656526\pi\) | ||||
−0.472160 | + | 0.881513i | \(0.656526\pi\) | |||||||
\(840\) | −4.92201 | + | 6.12173i | −0.169826 | + | 0.211220i | ||||
\(841\) | 10.7436 | 0.370467 | ||||||||
\(842\) | 19.1570i | 0.660194i | ||||||||
\(843\) | 27.2218i | 0.937568i | ||||||||
\(844\) | 9.80544 | 0.337517 | ||||||||
\(845\) | 22.6166 | + | 18.1843i | 0.778036 | + | 0.625558i | ||||
\(846\) | −11.2296 | −0.386082 | ||||||||
\(847\) | 11.6113i | 0.398969i | ||||||||
\(848\) | 11.2978i | 0.387970i | ||||||||
\(849\) | 21.5883 | 0.740908 | ||||||||
\(850\) | −1.05111 | − | 4.78076i | −0.0360527 | − | 0.163979i | ||||
\(851\) | −2.33616 | −0.0800824 | ||||||||
\(852\) | − | 13.4819i | − | 0.461883i | ||||||
\(853\) | − | 51.8565i | − | 1.77553i | −0.460294 | − | 0.887766i | \(-0.652256\pi\) | ||
0.460294 | − | 0.887766i | \(-0.347744\pi\) | |||||||
\(854\) | 33.6663 | 1.15204 | ||||||||
\(855\) | −8.40436 | − | 6.75729i | −0.287423 | − | 0.231095i | ||||
\(856\) | 5.70291 | 0.194921 | ||||||||
\(857\) | 4.63553i | 0.158347i | 0.996861 | + | 0.0791733i | \(0.0252280\pi\) | ||||
−0.996861 | + | 0.0791733i | \(0.974772\pi\) | |||||||
\(858\) | − | 0.616473i | − | 0.0210461i | ||||||
\(859\) | −43.1006 | −1.47057 | −0.735287 | − | 0.677755i | \(-0.762953\pi\) | ||||
−0.735287 | + | 0.677755i | \(0.762953\pi\) | |||||||
\(860\) | −6.35258 | + | 7.90100i | −0.216621 | + | 0.269422i | ||||
\(861\) | 41.5450 | 1.41585 | ||||||||
\(862\) | 10.3947i | 0.354044i | ||||||||
\(863\) | 11.2463i | 0.382829i | 0.981509 | + | 0.191414i | \(0.0613074\pi\) | ||||
−0.981509 | + | 0.191414i | \(0.938693\pi\) | |||||||
\(864\) | −5.25565 | −0.178801 | ||||||||
\(865\) | −19.6380 | + | 24.4247i | −0.667711 | + | 0.830464i | ||||
\(866\) | 3.36622 | 0.114389 | ||||||||
\(867\) | − | 17.5561i | − | 0.596237i | ||||||
\(868\) | 11.6316i | 0.394801i | ||||||||
\(869\) | −59.6649 | −2.02399 | ||||||||
\(870\) | 12.0233 | + | 9.66703i | 0.407629 | + | 0.327743i | ||||
\(871\) | 0.413910 | 0.0140248 | ||||||||
\(872\) | − | 11.9318i | − | 0.404061i | ||||||
\(873\) | 5.53407i | 0.187300i | ||||||||
\(874\) | 6.25142 | 0.211457 | ||||||||
\(875\) | −32.1444 | − | 15.9568i | −1.08668 | − | 0.539437i | ||||
\(876\) | 15.3181 | 0.517550 | ||||||||
\(877\) | 17.9444i | 0.605939i | 0.953000 | + | 0.302969i | \(0.0979780\pi\) | ||||
−0.953000 | + | 0.302969i | \(0.902022\pi\) | |||||||
\(878\) | − | 32.5045i | − | 1.09697i | ||||||
\(879\) | −2.90597 | −0.0980160 | ||||||||
\(880\) | 6.66263 | + | 5.35690i | 0.224597 | + | 0.180581i | ||||
\(881\) | −16.6495 | −0.560935 | −0.280468 | − | 0.959864i | \(-0.590489\pi\) | ||||
−0.280468 | + | 0.959864i | \(0.590489\pi\) | |||||||
\(882\) | 5.95296i | 0.200446i | ||||||||
\(883\) | 28.7758i | 0.968383i | 0.874962 | + | 0.484191i | \(0.160886\pi\) | ||||
−0.874962 | + | 0.484191i | \(0.839114\pi\) | |||||||
\(884\) | −0.144237 | −0.00485121 | ||||||||
\(885\) | −10.6244 | + | 13.2140i | −0.357135 | + | 0.444185i | ||||
\(886\) | −23.5479 | −0.791107 | ||||||||
\(887\) | 23.6957i | 0.795625i | 0.917467 | + | 0.397812i | \(0.130230\pi\) | ||||
−0.917467 | + | 0.397812i | \(0.869770\pi\) | |||||||
\(888\) | − | 1.09441i | − | 0.0367261i | ||||||
\(889\) | −17.3135 | −0.580678 | ||||||||
\(890\) | 9.06432 | − | 11.2737i | 0.303837 | − | 0.377896i | ||||
\(891\) | −1.31930 | −0.0441982 | ||||||||
\(892\) | 15.4447i | 0.517125i | ||||||||
\(893\) | 16.6734i | 0.557953i | ||||||||
\(894\) | 23.7432 | 0.794092 | ||||||||
\(895\) | 21.6368 | + | 17.3965i | 0.723240 | + | 0.581501i | ||||
\(896\) | −3.20984 | −0.107233 | ||||||||
\(897\) | − | 0.376687i | − | 0.0125772i | ||||||
\(898\) | 12.5629i | 0.419228i | ||||||||
\(899\) | 22.8448 | 0.761918 | ||||||||
\(900\) | −1.93503 | − | 8.80110i | −0.0645009 | − | 0.293370i | ||||
\(901\) | 11.0605 | 0.368478 | ||||||||
\(902\) | − | 45.2158i | − | 1.50552i | ||||||
\(903\) | − | 15.9271i | − | 0.530019i | ||||||
\(904\) | 2.18044 | 0.0725204 | ||||||||
\(905\) | 14.2853 | + | 11.4857i | 0.474861 | + | 0.381799i | ||||
\(906\) | −2.26263 | −0.0751710 | ||||||||
\(907\) | 5.56548i | 0.184799i | 0.995722 | + | 0.0923994i | \(0.0294537\pi\) | ||||
−0.995722 | + | 0.0923994i | \(0.970546\pi\) | |||||||
\(908\) | 6.46090i | 0.214413i | ||||||||
\(909\) | −11.8501 | −0.393043 | ||||||||
\(910\) | −0.662612 | + | 0.824122i | −0.0219654 | + | 0.0273194i | ||||
\(911\) | −17.2514 | −0.571565 | −0.285782 | − | 0.958295i | \(-0.592253\pi\) | ||||
−0.285782 | + | 0.958295i | \(0.592253\pi\) | |||||||
\(912\) | 2.92858i | 0.0969751i | ||||||||
\(913\) | 51.7559i | 1.71287i | ||||||||
\(914\) | −6.53390 | −0.216122 | ||||||||
\(915\) | 16.0832 | − | 20.0034i | 0.531694 | − | 0.661293i | ||||
\(916\) | 7.97458 | 0.263488 | ||||||||
\(917\) | − | 28.7942i | − | 0.950867i | ||||||
\(918\) | 5.14523i | 0.169818i | ||||||||
\(919\) | 8.34007 | 0.275114 | 0.137557 | − | 0.990494i | \(-0.456075\pi\) | ||||
0.137557 | + | 0.990494i | \(0.456075\pi\) | |||||||
\(920\) | 4.07111 | + | 3.27326i | 0.134220 | + | 0.107916i | ||||
\(921\) | 27.7483 | 0.914336 | ||||||||
\(922\) | − | 24.7616i | − | 0.815480i | ||||||
\(923\) | − | 1.81497i | − | 0.0597403i | ||||||
\(924\) | −13.4307 | −0.441838 | ||||||||
\(925\) | 4.88336 | − | 1.07367i | 0.160564 | − | 0.0353019i | ||||
\(926\) | 25.9239 | 0.851913 | ||||||||
\(927\) | − | 4.54494i | − | 0.149275i | ||||||
\(928\) | 6.30425i | 0.206947i | ||||||||
\(929\) | 48.2529 | 1.58313 | 0.791564 | − | 0.611087i | \(-0.209267\pi\) | ||||
0.791564 | + | 0.611087i | \(0.209267\pi\) | |||||||
\(930\) | 6.91109 | + | 5.55667i | 0.226623 | + | 0.182210i | ||||
\(931\) | 8.83876 | 0.289679 | ||||||||
\(932\) | − | 25.2907i | − | 0.828423i | ||||||
\(933\) | − | 12.1736i | − | 0.398544i | ||||||
\(934\) | −28.8182 | −0.942959 | ||||||||
\(935\) | 5.24435 | − | 6.52264i | 0.171509 | − | 0.213313i | ||||
\(936\) | −0.265531 | −0.00867916 | ||||||||
\(937\) | 30.2000i | 0.986592i | 0.869862 | + | 0.493296i | \(0.164208\pi\) | ||||
−0.869862 | + | 0.493296i | \(0.835792\pi\) | |||||||
\(938\) | − | 9.01759i | − | 0.294435i | ||||||
\(939\) | 3.82069 | 0.124684 | ||||||||
\(940\) | −8.73023 | + | 10.8582i | −0.284749 | + | 0.354155i | ||||
\(941\) | 14.9206 | 0.486399 | 0.243199 | − | 0.969976i | \(-0.421803\pi\) | ||||
0.243199 | + | 0.969976i | \(0.421803\pi\) | |||||||
\(942\) | 20.2947i | 0.661236i | ||||||||
\(943\) | − | 27.6285i | − | 0.899707i | ||||||
\(944\) | −6.92858 | −0.225506 | ||||||||
\(945\) | 29.3982 | + | 23.6368i | 0.956322 | + | 0.768905i | ||||
\(946\) | −17.3343 | −0.563587 | ||||||||
\(947\) | 48.1091i | 1.56334i | 0.623694 | + | 0.781668i | \(0.285631\pi\) | ||||
−0.623694 | + | 0.781668i | \(0.714369\pi\) | |||||||
\(948\) | − | 17.0791i | − | 0.554703i | ||||||
\(949\) | 2.06215 | 0.0669403 | ||||||||
\(950\) | −13.0676 | + | 2.87307i | −0.423969 | + | 0.0932146i | ||||
\(951\) | −20.0996 | −0.651774 | ||||||||
\(952\) | 3.14239i | 0.101846i | ||||||||
\(953\) | − | 8.67149i | − | 0.280897i | −0.990088 | − | 0.140449i | \(-0.955146\pi\) | ||
0.990088 | − | 0.140449i | \(-0.0448545\pi\) | |||||||
\(954\) | 20.3617 | 0.659234 | ||||||||
\(955\) | 13.9436 | + | 11.2110i | 0.451204 | + | 0.362778i | ||||
\(956\) | 5.11481 | 0.165425 | ||||||||
\(957\) | 26.3785i | 0.852695i | ||||||||
\(958\) | − | 41.7873i | − | 1.35009i | ||||||
\(959\) | −8.67787 | −0.280223 | ||||||||
\(960\) | −1.53341 | + | 1.90718i | −0.0494908 | + | 0.0615539i | ||||
\(961\) | −17.8686 | −0.576408 | ||||||||
\(962\) | − | 0.147332i | − | 0.00475018i | ||||||
\(963\) | − | 10.2781i | − | 0.331208i | ||||||
\(964\) | −16.4415 | −0.529544 | ||||||||
\(965\) | 19.6747 | − | 24.4703i | 0.633351 | − | 0.787728i | ||||
\(966\) | −8.20665 | −0.264045 | ||||||||
\(967\) | 18.5944i | 0.597955i | 0.954260 | + | 0.298978i | \(0.0966456\pi\) | ||||
−0.954260 | + | 0.298978i | \(0.903354\pi\) | |||||||
\(968\) | 3.61741i | 0.116268i | ||||||||
\(969\) | 2.86705 | 0.0921029 | ||||||||
\(970\) | 5.35103 | + | 4.30235i | 0.171811 | + | 0.138140i | ||||
\(971\) | −32.6679 | −1.04836 | −0.524182 | − | 0.851606i | \(-0.675629\pi\) | ||||
−0.524182 | + | 0.851606i | \(0.675629\pi\) | |||||||
\(972\) | 15.3893i | 0.493612i | ||||||||
\(973\) | − | 13.8138i | − | 0.442850i | ||||||
\(974\) | −9.34463 | −0.299421 | ||||||||
\(975\) | 0.173120 | + | 0.787405i | 0.00554429 | + | 0.0252171i | ||||
\(976\) | 10.4885 | 0.335728 | ||||||||
\(977\) | − | 28.1856i | − | 0.901737i | −0.892590 | − | 0.450868i | \(-0.851114\pi\) | ||
0.892590 | − | 0.450868i | \(-0.148886\pi\) | |||||||
\(978\) | 23.6655i | 0.756740i | ||||||||
\(979\) | 24.7338 | 0.790497 | ||||||||
\(980\) | 5.75606 | + | 4.62800i | 0.183871 | + | 0.147836i | ||||
\(981\) | −21.5042 | −0.686575 | ||||||||
\(982\) | 10.7558i | 0.343232i | ||||||||
\(983\) | − | 25.3845i | − | 0.809639i | −0.914397 | − | 0.404819i | \(-0.867334\pi\) | ||
0.914397 | − | 0.404819i | \(-0.132666\pi\) | |||||||
\(984\) | 12.9430 | 0.412608 | ||||||||
\(985\) | 4.71632 | − | 5.86591i | 0.150274 | − | 0.186903i | ||||
\(986\) | 6.17179 | 0.196550 | ||||||||
\(987\) | − | 21.8883i | − | 0.696711i | ||||||
\(988\) | 0.394252i | 0.0125428i | ||||||||
\(989\) | −10.5919 | −0.336803 | ||||||||
\(990\) | 9.65454 | − | 12.0078i | 0.306841 | − | 0.381633i | ||||
\(991\) | −21.1083 | −0.670527 | −0.335264 | − | 0.942124i | \(-0.608825\pi\) | ||||
−0.335264 | + | 0.942124i | \(0.608825\pi\) | |||||||
\(992\) | 3.62372i | 0.115053i | ||||||||
\(993\) | 24.0076i | 0.761858i | ||||||||
\(994\) | −39.5415 | −1.25418 | ||||||||
\(995\) | 25.9463 | + | 20.8614i | 0.822552 | + | 0.661350i | ||||
\(996\) | −14.8152 | −0.469436 | ||||||||
\(997\) | − | 39.0978i | − | 1.23824i | −0.785296 | − | 0.619120i | \(-0.787489\pi\) | ||
0.785296 | − | 0.619120i | \(-0.212511\pi\) | |||||||
\(998\) | 29.0702i | 0.920201i | ||||||||
\(999\) | −5.25565 | −0.166282 |
(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 | 370.2.b.d.149.2 | ✓ | 10 | |
3.2 | odd | 2 | 3330.2.d.p.1999.7 | 10 | |||
5.2 | odd | 4 | 1850.2.a.be.1.2 | 5 | |||
5.3 | odd | 4 | 1850.2.a.bd.1.4 | 5 | |||
5.4 | even | 2 | inner | 370.2.b.d.149.9 | yes | 10 | |
15.14 | odd | 2 | 3330.2.d.p.1999.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.b.d.149.2 | ✓ | 10 | 1.1 | even | 1 | trivial | |
370.2.b.d.149.9 | yes | 10 | 5.4 | even | 2 | inner | |
1850.2.a.bd.1.4 | 5 | 5.3 | odd | 4 | |||
1850.2.a.be.1.2 | 5 | 5.2 | odd | 4 | |||
3330.2.d.p.1999.2 | 10 | 15.14 | odd | 2 | |||
3330.2.d.p.1999.7 | 10 | 3.2 | odd | 2 |