Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(244,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.244");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.c (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3^{3} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 244.4 | ||
Root | \(-1.37340i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.244 |
Dual form | 729.2.c.a.487.4 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0864880 | + | 0.149802i | 0.0611562 | + | 0.105926i | 0.894982 | − | 0.446101i | \(-0.147188\pi\) |
−0.833826 | + | 0.552027i | \(0.813855\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.985040 | − | 1.70614i | 0.492520 | − | 0.853069i | ||||
\(5\) | −1.86828 | + | 3.23596i | −0.835521 | + | 1.44716i | 0.0580849 | + | 0.998312i | \(0.481501\pi\) |
−0.893606 | + | 0.448853i | \(0.851833\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.51575 | − | 2.62535i | −0.572899 | − | 0.992291i | −0.996266 | − | 0.0863324i | \(-0.972485\pi\) |
0.423367 | − | 0.905958i | \(-0.360848\pi\) | |||||||
\(8\) | 0.686728 | 0.242795 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.646335 | −0.204389 | ||||||||
\(11\) | −1.24585 | − | 2.15787i | −0.375637 | − | 0.650623i | 0.614785 | − | 0.788695i | \(-0.289243\pi\) |
−0.990422 | + | 0.138072i | \(0.955909\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.382569 | − | 0.662630i | 0.106106 | − | 0.183780i | −0.808084 | − | 0.589068i | \(-0.799495\pi\) |
0.914189 | + | 0.405287i | \(0.132828\pi\) | |||||||
\(14\) | 0.262188 | − | 0.454123i | 0.0700727 | − | 0.121369i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.91069 | − | 3.30940i | −0.477671 | − | 0.827351i | ||||
\(17\) | −4.62278 | −1.12119 | −0.560595 | − | 0.828090i | \(-0.689427\pi\) | ||||
−0.560595 | + | 0.828090i | \(0.689427\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.611844 | −0.140367 | −0.0701833 | − | 0.997534i | \(-0.522358\pi\) | ||||
−0.0701833 | + | 0.997534i | \(0.522358\pi\) | |||||||
\(20\) | 3.68066 | + | 6.37509i | 0.823021 | + | 1.42551i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.215502 | − | 0.373260i | 0.0459451 | − | 0.0795793i | ||||
\(23\) | 3.26219 | − | 5.65028i | 0.680213 | − | 1.17816i | −0.294702 | − | 0.955589i | \(-0.595221\pi\) |
0.974916 | − | 0.222575i | \(-0.0714462\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.48095 | − | 7.76123i | −0.896190 | − | 1.55225i | ||||
\(26\) | 0.132351 | 0.0259561 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.97229 | −1.12866 | ||||||||
\(29\) | −3.27545 | − | 5.67324i | −0.608235 | − | 1.05349i | −0.991531 | − | 0.129869i | \(-0.958544\pi\) |
0.383296 | − | 0.923626i | \(-0.374789\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.27521 | + | 5.67283i | −0.588246 | + | 1.01887i | 0.406217 | + | 0.913777i | \(0.366848\pi\) |
−0.994462 | + | 0.105094i | \(0.966486\pi\) | |||||||
\(32\) | 1.01723 | − | 1.76190i | 0.179823 | − | 0.311462i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.399815 | − | 0.692500i | −0.0685677 | − | 0.118763i | ||||
\(35\) | 11.3274 | 1.91468 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.95969 | 0.815368 | 0.407684 | − | 0.913123i | \(-0.366337\pi\) | ||||
0.407684 | + | 0.913123i | \(0.366337\pi\) | |||||||
\(38\) | −0.0529171 | − | 0.0916552i | −0.00858429 | − | 0.0148684i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.28300 | + | 2.22222i | −0.202860 | + | 0.351364i | ||||
\(41\) | 2.63012 | − | 4.55550i | 0.410756 | − | 0.711450i | −0.584217 | − | 0.811598i | \(-0.698598\pi\) |
0.994973 | + | 0.100148i | \(0.0319316\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.78529 | − | 4.82426i | −0.424752 | − | 0.735692i | 0.571645 | − | 0.820501i | \(-0.306305\pi\) |
−0.996397 | + | 0.0848086i | \(0.972972\pi\) | |||||||
\(44\) | −4.90884 | −0.740035 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.12856 | 0.166397 | ||||||||
\(47\) | 0.553808 | + | 0.959223i | 0.0807812 | + | 0.139917i | 0.903586 | − | 0.428407i | \(-0.140925\pi\) |
−0.822805 | + | 0.568324i | \(0.807592\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.09499 | + | 1.89658i | −0.156427 | + | 0.270940i | ||||
\(50\) | 0.775096 | − | 1.34251i | 0.109615 | − | 0.189859i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.753692 | − | 1.30543i | −0.104518 | − | 0.181031i | ||||
\(53\) | −8.84310 | −1.21469 | −0.607346 | − | 0.794437i | \(-0.707766\pi\) | ||||
−0.607346 | + | 0.794437i | \(0.707766\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.31038 | 1.25541 | ||||||||
\(56\) | −1.04091 | − | 1.80290i | −0.139097 | − | 0.240923i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0.566573 | − | 0.981334i | 0.0743947 | − | 0.128855i | ||||
\(59\) | −5.92588 | + | 10.2639i | −0.771484 | + | 1.33625i | 0.165266 | + | 0.986249i | \(0.447152\pi\) |
−0.936750 | + | 0.350000i | \(0.886182\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.09350 | − | 7.09015i | −0.524119 | − | 0.907801i | −0.999606 | − | 0.0280781i | \(-0.991061\pi\) |
0.475486 | − | 0.879723i | \(-0.342272\pi\) | |||||||
\(62\) | −1.13307 | −0.143900 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −7.29083 | −0.911354 | ||||||||
\(65\) | 1.42949 | + | 2.47596i | 0.177307 | + | 0.307105i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.606169 | − | 1.04992i | 0.0740553 | − | 0.128268i | −0.826620 | − | 0.562761i | \(-0.809739\pi\) |
0.900675 | + | 0.434493i | \(0.143073\pi\) | |||||||
\(68\) | −4.55362 | + | 7.88711i | −0.552208 | + | 0.956452i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.979682 | + | 1.69686i | 0.117094 | + | 0.202813i | ||||
\(71\) | 4.91946 | 0.583833 | 0.291916 | − | 0.956444i | \(-0.405707\pi\) | ||||
0.291916 | + | 0.956444i | \(0.405707\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.29945 | 0.503213 | 0.251606 | − | 0.967830i | \(-0.419041\pi\) | ||||
0.251606 | + | 0.967830i | \(0.419041\pi\) | |||||||
\(74\) | 0.428953 | + | 0.742969i | 0.0498648 | + | 0.0863684i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.602691 | + | 1.04389i | −0.0691333 | + | 0.119742i | ||||
\(77\) | −3.77679 | + | 6.54158i | −0.430405 | + | 0.745483i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.89730 | + | 10.2144i | 0.663498 | + | 1.14921i | 0.979690 | + | 0.200518i | \(0.0642624\pi\) |
−0.316192 | + | 0.948695i | \(0.602404\pi\) | |||||||
\(80\) | 14.2788 | 1.59642 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.909895 | 0.100481 | ||||||||
\(83\) | 4.50804 | + | 7.80815i | 0.494821 | + | 0.857056i | 0.999982 | − | 0.00596962i | \(-0.00190020\pi\) |
−0.505161 | + | 0.863025i | \(0.668567\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 8.63666 | − | 14.9591i | 0.936777 | − | 1.62255i | ||||
\(86\) | 0.481788 | − | 0.834481i | 0.0519525 | − | 0.0899844i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.855559 | − | 1.48187i | −0.0912029 | − | 0.157968i | ||||
\(89\) | −7.53885 | −0.799117 | −0.399558 | − | 0.916708i | \(-0.630837\pi\) | ||||
−0.399558 | + | 0.916708i | \(0.630837\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.31952 | −0.243151 | ||||||||
\(92\) | −6.42677 | − | 11.1315i | −0.670037 | − | 1.16054i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.0957954 | + | 0.165923i | −0.00988055 | + | 0.0171136i | ||||
\(95\) | 1.14310 | − | 1.97990i | 0.117279 | − | 0.203134i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.474177 | + | 0.821299i | 0.0481454 | + | 0.0833903i | 0.889094 | − | 0.457725i | \(-0.151336\pi\) |
−0.840948 | + | 0.541115i | \(0.818002\pi\) | |||||||
\(98\) | −0.378814 | −0.0382659 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −17.6557 | −1.76557 | ||||||||
\(101\) | −2.80408 | − | 4.85680i | −0.279016 | − | 0.483270i | 0.692124 | − | 0.721778i | \(-0.256675\pi\) |
−0.971140 | + | 0.238508i | \(0.923342\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 4.71251 | − | 8.16231i | 0.464337 | − | 0.804256i | −0.534834 | − | 0.844957i | \(-0.679626\pi\) |
0.999171 | + | 0.0407012i | \(0.0129592\pi\) | |||||||
\(104\) | 0.262721 | − | 0.455046i | 0.0257619 | − | 0.0446210i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.764821 | − | 1.32471i | −0.0742860 | − | 0.128667i | ||||
\(107\) | 1.27825 | 0.123573 | 0.0617864 | − | 0.998089i | \(-0.480320\pi\) | ||||
0.0617864 | + | 0.998089i | \(0.480320\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.40689 | −0.709451 | −0.354726 | − | 0.934970i | \(-0.615426\pi\) | ||||
−0.354726 | + | 0.934970i | \(0.615426\pi\) | |||||||
\(110\) | 0.805236 | + | 1.39471i | 0.0767762 | + | 0.132980i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −5.79224 | + | 10.0325i | −0.547315 | + | 0.947978i | ||||
\(113\) | 4.67598 | − | 8.09904i | 0.439879 | − | 0.761893i | −0.557800 | − | 0.829975i | \(-0.688355\pi\) |
0.997680 | + | 0.0680818i | \(0.0216879\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 12.1894 | + | 21.1126i | 1.13666 | + | 1.96876i | ||||
\(116\) | −12.9058 | −1.19827 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.05007 | −0.188724 | ||||||||
\(119\) | 7.00698 | + | 12.1364i | 0.642329 | + | 1.11255i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.39573 | − | 4.14952i | 0.217793 | − | 0.377229i | ||||
\(122\) | 0.708077 | − | 1.22643i | 0.0641063 | − | 0.111035i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.45243 | + | 11.1759i | 0.579445 | + | 1.00363i | ||||
\(125\) | 14.8039 | 1.32410 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 20.7968 | 1.84542 | 0.922710 | − | 0.385496i | \(-0.125970\pi\) | ||||
0.922710 | + | 0.385496i | \(0.125970\pi\) | |||||||
\(128\) | −2.66503 | − | 4.61597i | −0.235558 | − | 0.407998i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.247268 | + | 0.428281i | −0.0216868 | + | 0.0375627i | ||||
\(131\) | −0.327915 | + | 0.567965i | −0.0286501 | + | 0.0496233i | −0.879995 | − | 0.474983i | \(-0.842454\pi\) |
0.851345 | + | 0.524606i | \(0.175788\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.927402 | + | 1.60631i | 0.0804159 | + | 0.139284i | ||||
\(134\) | 0.209705 | 0.0181158 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.17460 | −0.272219 | ||||||||
\(137\) | 4.29380 | + | 7.43708i | 0.366844 | + | 0.635393i | 0.989070 | − | 0.147445i | \(-0.0471049\pi\) |
−0.622226 | + | 0.782838i | \(0.713772\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −6.72307 | + | 11.6447i | −0.570243 | + | 0.987691i | 0.426297 | + | 0.904583i | \(0.359818\pi\) |
−0.996541 | + | 0.0831074i | \(0.973516\pi\) | |||||||
\(140\) | 11.1579 | − | 19.3261i | 0.943016 | − | 1.63335i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.425474 | + | 0.736943i | 0.0357050 | + | 0.0618429i | ||||
\(143\) | −1.90649 | −0.159429 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 24.4778 | 2.03277 | ||||||||
\(146\) | 0.371851 | + | 0.644064i | 0.0307746 | + | 0.0533031i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.88549 | − | 8.46192i | 0.401585 | − | 0.695565i | ||||
\(149\) | 4.81103 | − | 8.33295i | 0.394135 | − | 0.682662i | −0.598855 | − | 0.800857i | \(-0.704377\pi\) |
0.992990 | + | 0.118195i | \(0.0377108\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.56410 | + | 6.17320i | 0.290042 | + | 0.502368i | 0.973819 | − | 0.227323i | \(-0.0729972\pi\) |
−0.683777 | + | 0.729691i | \(0.739664\pi\) | |||||||
\(152\) | −0.420170 | −0.0340803 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −1.30659 | −0.105288 | ||||||||
\(155\) | −12.2380 | − | 21.1969i | −0.982983 | − | 1.70258i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.84288 | + | 6.65607i | −0.306696 | + | 0.531212i | −0.977637 | − | 0.210298i | \(-0.932557\pi\) |
0.670942 | + | 0.741510i | \(0.265890\pi\) | |||||||
\(158\) | −1.02009 | + | 1.76685i | −0.0811541 | + | 0.140563i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.80095 | + | 6.58343i | 0.300491 | + | 0.520466i | ||||
\(161\) | −19.7786 | −1.55877 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.04750 | 0.0820465 | 0.0410232 | − | 0.999158i | \(-0.486938\pi\) | ||||
0.0410232 | + | 0.999158i | \(0.486938\pi\) | |||||||
\(164\) | −5.18154 | − | 8.97470i | −0.404611 | − | 0.700806i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.779782 | + | 1.35062i | −0.0605228 | + | 0.104829i | ||||
\(167\) | 4.17704 | − | 7.23484i | 0.323229 | − | 0.559849i | −0.657923 | − | 0.753085i | \(-0.728565\pi\) |
0.981152 | + | 0.193236i | \(0.0618983\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.20728 | + | 10.7513i | 0.477483 | + | 0.827025i | ||||
\(170\) | 2.98787 | 0.229159 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −10.9745 | −0.836796 | ||||||||
\(173\) | 10.9229 | + | 18.9190i | 0.830452 | + | 1.43839i | 0.897680 | + | 0.440648i | \(0.145251\pi\) |
−0.0672277 | + | 0.997738i | \(0.521415\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −13.5840 | + | 23.5282i | −1.02685 | + | 1.77856i | ||||
\(176\) | −4.76085 | + | 8.24603i | −0.358862 | + | 0.621568i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.652020 | − | 1.12933i | −0.0488710 | − | 0.0846470i | ||||
\(179\) | 9.08866 | 0.679319 | 0.339659 | − | 0.940549i | \(-0.389688\pi\) | ||||
0.339659 | + | 0.940549i | \(0.389688\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −7.13077 | −0.530026 | −0.265013 | − | 0.964245i | \(-0.585376\pi\) | ||||
−0.265013 | + | 0.964245i | \(0.585376\pi\) | |||||||
\(182\) | −0.200610 | − | 0.347467i | −0.0148702 | − | 0.0257560i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 2.24024 | − | 3.88020i | 0.165152 | − | 0.286052i | ||||
\(185\) | −9.26609 | + | 16.0493i | −0.681257 | + | 1.17997i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.75929 | + | 9.97537i | 0.421161 | + | 0.729472i | ||||
\(188\) | 2.18209 | 0.159145 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.395456 | 0.0286894 | ||||||||
\(191\) | 5.97781 | + | 10.3539i | 0.432539 | + | 0.749180i | 0.997091 | − | 0.0762174i | \(-0.0242843\pi\) |
−0.564552 | + | 0.825398i | \(0.690951\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.43682 | − | 7.68479i | 0.319369 | − | 0.553164i | −0.660987 | − | 0.750397i | \(-0.729862\pi\) |
0.980357 | + | 0.197233i | \(0.0631957\pi\) | |||||||
\(194\) | −0.0820212 | + | 0.142065i | −0.00588878 | + | 0.0101997i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.15722 | + | 3.73641i | 0.154087 | + | 0.266886i | ||||
\(197\) | −7.39790 | −0.527079 | −0.263539 | − | 0.964649i | \(-0.584890\pi\) | ||||
−0.263539 | + | 0.964649i | \(0.584890\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.3837 | −0.736084 | −0.368042 | − | 0.929809i | \(-0.619972\pi\) | ||||
−0.368042 | + | 0.929809i | \(0.619972\pi\) | |||||||
\(200\) | −3.07719 | − | 5.32986i | −0.217591 | − | 0.376878i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.485038 | − | 0.840110i | 0.0341271 | − | 0.0591099i | ||||
\(203\) | −9.92951 | + | 17.1984i | −0.696915 | + | 1.20709i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.82761 | + | 17.0219i | 0.686390 | + | 1.18886i | ||||
\(206\) | 1.63030 | 0.113588 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.92388 | −0.202735 | ||||||||
\(209\) | 0.762265 | + | 1.32028i | 0.0527269 | + | 0.0913257i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.4306 | + | 18.0663i | −0.718070 | + | 1.24373i | 0.243693 | + | 0.969852i | \(0.421641\pi\) |
−0.961763 | + | 0.273882i | \(0.911692\pi\) | |||||||
\(212\) | −8.71080 | + | 15.0875i | −0.598260 | + | 1.03622i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.110553 | + | 0.191483i | 0.00755724 | + | 0.0130895i | ||||
\(215\) | 20.8148 | 1.41956 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.8576 | 1.34802 | ||||||||
\(218\) | −0.640607 | − | 1.10956i | −0.0433874 | − | 0.0751491i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 9.17109 | − | 15.8848i | 0.618315 | − | 1.07095i | ||||
\(221\) | −1.76854 | + | 3.06319i | −0.118965 | + | 0.206053i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −11.7892 | − | 20.4196i | −0.789466 | − | 1.36740i | −0.926294 | − | 0.376801i | \(-0.877024\pi\) |
0.136828 | − | 0.990595i | \(-0.456309\pi\) | |||||||
\(224\) | −6.16747 | −0.412081 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.61766 | 0.107605 | ||||||||
\(227\) | −5.24207 | − | 9.07952i | −0.347928 | − | 0.602629i | 0.637953 | − | 0.770075i | \(-0.279781\pi\) |
−0.985881 | + | 0.167446i | \(0.946448\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 6.94121 | − | 12.0225i | 0.458688 | − | 0.794471i | −0.540204 | − | 0.841534i | \(-0.681653\pi\) |
0.998892 | + | 0.0470633i | \(0.0149862\pi\) | |||||||
\(230\) | −2.10847 | + | 3.65197i | −0.139028 | + | 0.240804i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.24934 | − | 3.89597i | −0.147676 | − | 0.255783i | ||||
\(233\) | −7.59964 | −0.497869 | −0.248935 | − | 0.968520i | \(-0.580080\pi\) | ||||
−0.248935 | + | 0.968520i | \(0.580080\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.13868 | −0.269977 | ||||||||
\(236\) | 11.6745 | + | 20.2207i | 0.759942 | + | 1.31626i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.21204 | + | 2.09931i | −0.0785648 | + | 0.136078i | ||||
\(239\) | 8.27934 | − | 14.3402i | 0.535546 | − | 0.927593i | −0.463591 | − | 0.886050i | \(-0.653439\pi\) |
0.999137 | − | 0.0415436i | \(-0.0132275\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 7.25924 | + | 12.5734i | 0.467609 | + | 0.809923i | 0.999315 | − | 0.0370064i | \(-0.0117822\pi\) |
−0.531706 | + | 0.846929i | \(0.678449\pi\) | |||||||
\(242\) | 0.828806 | 0.0532776 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −16.1290 | −1.03256 | ||||||||
\(245\) | −4.09150 | − | 7.08668i | −0.261396 | − | 0.452751i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.234073 | + | 0.405426i | −0.0148937 | + | 0.0257966i | ||||
\(248\) | −2.24918 | + | 3.89570i | −0.142823 | + | 0.247377i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.28036 | + | 2.21765i | 0.0809769 | + | 0.140256i | ||||
\(251\) | −9.05181 | −0.571345 | −0.285673 | − | 0.958327i | \(-0.592217\pi\) | ||||
−0.285673 | + | 0.958327i | \(0.592217\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −16.2568 | −1.02205 | ||||||||
\(254\) | 1.79867 | + | 3.11540i | 0.112859 | + | 0.195477i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.82984 | + | 11.8296i | −0.426865 | + | 0.739352i | ||||
\(257\) | 4.84994 | − | 8.40034i | 0.302531 | − | 0.523999i | −0.674178 | − | 0.738569i | \(-0.735502\pi\) |
0.976709 | + | 0.214570i | \(0.0688351\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.51764 | − | 13.0209i | −0.467124 | − | 0.809082i | ||||
\(260\) | 5.63243 | 0.349309 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.113443 | −0.00700852 | ||||||||
\(263\) | −13.4276 | − | 23.2573i | −0.827983 | − | 1.43411i | −0.899618 | − | 0.436677i | \(-0.856155\pi\) |
0.0716358 | − | 0.997431i | \(-0.477178\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 16.5214 | − | 28.6159i | 1.01490 | − | 1.75786i | ||||
\(266\) | −0.160418 | + | 0.277852i | −0.00983587 | + | 0.0170362i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.19420 | − | 2.06842i | −0.0729474 | − | 0.126349i | ||||
\(269\) | −11.7388 | −0.715729 | −0.357865 | − | 0.933774i | \(-0.616495\pi\) | ||||
−0.357865 | + | 0.933774i | \(0.616495\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.144576 | 0.00878238 | 0.00439119 | − | 0.999990i | \(-0.498602\pi\) | ||||
0.00439119 | + | 0.999990i | \(0.498602\pi\) | |||||||
\(272\) | 8.83268 | + | 15.2987i | 0.535560 | + | 0.927617i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.742724 | + | 1.28644i | −0.0448696 | + | 0.0777165i | ||||
\(275\) | −11.1652 | + | 19.3386i | −0.673285 | + | 1.16616i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 0.507212 | + | 0.878518i | 0.0304754 | + | 0.0527850i | 0.880861 | − | 0.473375i | \(-0.156965\pi\) |
−0.850385 | + | 0.526160i | \(0.823631\pi\) | |||||||
\(278\) | −2.32586 | −0.139496 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 7.77883 | 0.464874 | ||||||||
\(281\) | −13.7647 | − | 23.8412i | −0.821135 | − | 1.42225i | −0.904838 | − | 0.425756i | \(-0.860008\pi\) |
0.0837029 | − | 0.996491i | \(-0.473325\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.4014 | − | 23.2120i | 0.796633 | − | 1.37981i | −0.125164 | − | 0.992136i | \(-0.539946\pi\) |
0.921797 | − | 0.387673i | \(-0.126721\pi\) | |||||||
\(284\) | 4.84587 | − | 8.39329i | 0.287549 | − | 0.498050i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.164889 | − | 0.285596i | −0.00975007 | − | 0.0168876i | ||||
\(287\) | −15.9464 | −0.941286 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.37012 | 0.257066 | ||||||||
\(290\) | 2.11704 | + | 3.66682i | 0.124317 | + | 0.215323i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 4.23513 | − | 7.33546i | 0.247842 | − | 0.429275i | ||||
\(293\) | 9.32863 | − | 16.1577i | 0.544984 | − | 0.943941i | −0.453624 | − | 0.891193i | \(-0.649869\pi\) |
0.998608 | − | 0.0527472i | \(-0.0167977\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −22.1424 | − | 38.3518i | −1.28918 | − | 2.23293i | ||||
\(296\) | 3.40596 | 0.197967 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.66439 | 0.0964153 | ||||||||
\(299\) | −2.49603 | − | 4.32324i | −0.144349 | − | 0.250020i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.44359 | + | 14.6247i | −0.486680 | + | 0.842955i | ||||
\(302\) | −0.616504 | + | 1.06782i | −0.0354758 | + | 0.0614459i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.16904 | + | 2.02484i | 0.0670491 | + | 0.116132i | ||||
\(305\) | 30.5913 | 1.75165 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 33.7893 | 1.92845 | 0.964227 | − | 0.265077i | \(-0.0853973\pi\) | ||||
0.964227 | + | 0.265077i | \(0.0853973\pi\) | |||||||
\(308\) | 7.44057 | + | 12.8874i | 0.423966 | + | 0.734330i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 2.11689 | − | 3.66655i | 0.120231 | − | 0.208246i | ||||
\(311\) | 17.3433 | − | 30.0395i | 0.983448 | − | 1.70338i | 0.334806 | − | 0.942287i | \(-0.391329\pi\) |
0.648642 | − | 0.761094i | \(-0.275337\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.67019 | − | 2.89285i | −0.0944047 | − | 0.163514i | 0.814955 | − | 0.579524i | \(-0.196761\pi\) |
−0.909360 | + | 0.416010i | \(0.863428\pi\) | |||||||
\(314\) | −1.32945 | −0.0750254 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 23.2363 | 1.30714 | ||||||||
\(317\) | 15.5164 | + | 26.8752i | 0.871488 | + | 1.50946i | 0.860458 | + | 0.509522i | \(0.170178\pi\) |
0.0110301 | + | 0.999939i | \(0.496489\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −8.16142 | + | 14.1360i | −0.456952 | + | 0.791463i | ||||
\(320\) | 13.6213 | − | 23.5928i | 0.761455 | − | 1.31888i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −1.71061 | − | 2.96287i | −0.0953288 | − | 0.165114i | ||||
\(323\) | 2.82842 | 0.157378 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.85710 | −0.380363 | ||||||||
\(326\) | 0.0905961 | + | 0.156917i | 0.00501765 | + | 0.00869083i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.80618 | − | 3.12839i | 0.0997295 | − | 0.172736i | ||||
\(329\) | 1.67887 | − | 2.90788i | 0.0925590 | − | 0.160317i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.63584 | − | 2.83336i | −0.0899138 | − | 0.155735i | 0.817561 | − | 0.575842i | \(-0.195326\pi\) |
−0.907475 | + | 0.420107i | \(0.861992\pi\) | |||||||
\(332\) | 17.7624 | 0.974837 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.44505 | 0.0790699 | ||||||||
\(335\) | 2.26499 | + | 3.92308i | 0.123750 | + | 0.214341i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −3.18290 | + | 5.51295i | −0.173384 | + | 0.300310i | −0.939601 | − | 0.342272i | \(-0.888803\pi\) |
0.766217 | + | 0.642582i | \(0.222137\pi\) | |||||||
\(338\) | −1.07371 | + | 1.85972i | −0.0584021 | + | 0.101155i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −17.0149 | − | 29.4707i | −0.922763 | − | 1.59827i | ||||
\(341\) | 16.3217 | 0.883868 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −14.5816 | −0.787331 | ||||||||
\(344\) | −1.91273 | − | 3.31295i | −0.103128 | − | 0.178623i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.88940 | + | 3.27253i | −0.101575 | + | 0.175932i | ||||
\(347\) | 4.39620 | − | 7.61445i | 0.236001 | − | 0.408765i | −0.723562 | − | 0.690259i | \(-0.757497\pi\) |
0.959563 | + | 0.281494i | \(0.0908299\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.20011 | − | 12.4710i | −0.385413 | − | 0.667555i | 0.606413 | − | 0.795150i | \(-0.292608\pi\) |
−0.991826 | + | 0.127595i | \(0.959274\pi\) | |||||||
\(350\) | −4.69941 | −0.251194 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.06926 | −0.270192 | ||||||||
\(353\) | −16.6002 | − | 28.7525i | −0.883542 | − | 1.53034i | −0.847376 | − | 0.530993i | \(-0.821819\pi\) |
−0.0361653 | − | 0.999346i | \(-0.511514\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −9.19094 | + | 15.9192i | −0.487804 | + | 0.844902i | ||||
\(356\) | −7.42607 | + | 12.8623i | −0.393581 | + | 0.681702i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.786060 | + | 1.36150i | 0.0415446 | + | 0.0719573i | ||||
\(359\) | 4.94514 | 0.260995 | 0.130497 | − | 0.991449i | \(-0.458343\pi\) | ||||
0.130497 | + | 0.991449i | \(0.458343\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −18.6256 | −0.980297 | ||||||||
\(362\) | −0.616726 | − | 1.06820i | −0.0324144 | − | 0.0561434i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.28482 | + | 3.95742i | −0.119757 | + | 0.207425i | ||||
\(365\) | −8.03258 | + | 13.9128i | −0.420445 | + | 0.728231i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.24623 | + | 2.15853i | 0.0650525 | + | 0.112674i | 0.896717 | − | 0.442604i | \(-0.145945\pi\) |
−0.831665 | + | 0.555278i | \(0.812612\pi\) | |||||||
\(368\) | −24.9321 | −1.29967 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.20562 | −0.166652 | ||||||||
\(371\) | 13.4039 | + | 23.2163i | 0.695896 | + | 1.20533i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 14.0238 | − | 24.2899i | 0.726124 | − | 1.25768i | −0.232385 | − | 0.972624i | \(-0.574653\pi\) |
0.958510 | − | 0.285060i | \(-0.0920136\pi\) | |||||||
\(374\) | −0.996218 | + | 1.72550i | −0.0515132 | + | 0.0892235i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.380316 | + | 0.658726i | 0.0196133 | + | 0.0339712i | ||||
\(377\) | −5.01234 | −0.258149 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.13991 | 0.264019 | 0.132010 | − | 0.991248i | \(-0.457857\pi\) | ||||
0.132010 | + | 0.991248i | \(0.457857\pi\) | |||||||
\(380\) | −2.25199 | − | 3.90056i | −0.115525 | − | 0.200095i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.03402 | + | 1.79097i | −0.0529050 | + | 0.0916341i | ||||
\(383\) | 0.0223364 | − | 0.0386879i | 0.00114134 | − | 0.00197686i | −0.865454 | − | 0.500988i | \(-0.832970\pi\) |
0.866596 | + | 0.499011i | \(0.166303\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −14.1122 | − | 24.4430i | −0.719224 | − | 1.24573i | ||||
\(386\) | 1.53493 | 0.0781256 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.86833 | 0.0948502 | ||||||||
\(389\) | −10.4911 | − | 18.1712i | −0.531921 | − | 0.921315i | −0.999306 | − | 0.0372607i | \(-0.988137\pi\) |
0.467384 | − | 0.884054i | \(-0.345197\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −15.0804 | + | 26.1200i | −0.762648 | + | 1.32095i | ||||
\(392\) | −0.751960 | + | 1.30243i | −0.0379797 | + | 0.0657828i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.639830 | − | 1.10822i | −0.0322341 | − | 0.0558312i | ||||
\(395\) | −44.0713 | −2.21747 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −0.00245641 | −0.000123284 | −6.16419e−5 | − | 1.00000i | \(-0.500020\pi\) | ||||
−6.16419e−5 | 1.00000i | \(0.500020\pi\) | ||||||||
\(398\) | −0.898069 | − | 1.55550i | −0.0450161 | − | 0.0779703i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.1234 | + | 29.6586i | −0.856169 | + | 1.48293i | ||||
\(401\) | −12.6282 | + | 21.8726i | −0.630620 | + | 1.09227i | 0.356805 | + | 0.934179i | \(0.383866\pi\) |
−0.987425 | + | 0.158088i | \(0.949467\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.50599 | + | 4.34051i | 0.124832 | + | 0.216216i | ||||
\(404\) | −11.0485 | −0.549684 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.43513 | −0.170483 | ||||||||
\(407\) | −6.17902 | − | 10.7024i | −0.306283 | − | 0.530497i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.6443 | − | 20.1685i | 0.575772 | − | 0.997267i | −0.420185 | − | 0.907438i | \(-0.638035\pi\) |
0.995957 | − | 0.0898282i | \(-0.0286318\pi\) | |||||||
\(410\) | −1.69994 | + | 2.94438i | −0.0839540 | + | 0.145413i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −9.28402 | − | 16.0804i | −0.457391 | − | 0.792224i | ||||
\(413\) | 35.9286 | 1.76793 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −33.6891 | −1.65373 | ||||||||
\(416\) | −0.778323 | − | 1.34809i | −0.0381604 | − | 0.0660958i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.131853 | + | 0.228377i | −0.00644916 | + | 0.0111703i | ||||
\(419\) | −15.6442 | + | 27.0965i | −0.764268 | + | 1.32375i | 0.176364 | + | 0.984325i | \(0.443566\pi\) |
−0.940633 | + | 0.339427i | \(0.889767\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −15.2648 | − | 26.4394i | −0.743960 | − | 1.28858i | −0.950679 | − | 0.310177i | \(-0.899612\pi\) |
0.206719 | − | 0.978400i | \(-0.433722\pi\) | |||||||
\(422\) | −3.60848 | −0.175658 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −6.07280 | −0.294921 | ||||||||
\(425\) | 20.7145 | + | 35.8785i | 1.00480 | + | 1.74036i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −12.4094 | + | 21.4938i | −0.600535 | + | 1.04016i | ||||
\(428\) | 1.25912 | − | 2.18087i | 0.0608620 | − | 0.105416i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.80023 | + | 3.11809i | 0.0868148 | + | 0.150368i | ||||
\(431\) | 12.4246 | 0.598474 | 0.299237 | − | 0.954179i | \(-0.403268\pi\) | ||||
0.299237 | + | 0.954179i | \(0.403268\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.760649 | −0.0365545 | −0.0182772 | − | 0.999833i | \(-0.505818\pi\) | ||||
−0.0182772 | + | 0.999833i | \(0.505818\pi\) | |||||||
\(434\) | 1.71744 | + | 2.97470i | 0.0824399 | + | 0.142790i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.29608 | + | 12.6372i | −0.349419 | + | 0.605211i | ||||
\(437\) | −1.99595 | + | 3.45709i | −0.0954792 | + | 0.165375i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −15.0547 | − | 26.0755i | −0.718521 | − | 1.24451i | −0.961586 | − | 0.274504i | \(-0.911486\pi\) |
0.243065 | − | 0.970010i | \(-0.421847\pi\) | |||||||
\(440\) | 6.39370 | 0.304808 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.611828 | −0.0291017 | ||||||||
\(443\) | 6.83079 | + | 11.8313i | 0.324541 | + | 0.562121i | 0.981419 | − | 0.191875i | \(-0.0614570\pi\) |
−0.656879 | + | 0.753996i | \(0.728124\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.0847 | − | 24.3954i | 0.667679 | − | 1.15645i | ||||
\(446\) | 2.03926 | − | 3.53209i | 0.0965616 | − | 0.167250i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 11.0511 | + | 19.1410i | 0.522114 | + | 0.904328i | ||||
\(449\) | 21.9989 | 1.03819 | 0.519097 | − | 0.854715i | \(-0.326268\pi\) | ||||
0.519097 | + | 0.854715i | \(0.326268\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.1069 | −0.617181 | ||||||||
\(452\) | −9.21205 | − | 15.9557i | −0.433299 | − | 0.750495i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0.906751 | − | 1.57054i | 0.0425559 | − | 0.0737091i | ||||
\(455\) | 4.33351 | − | 7.50586i | 0.203158 | − | 0.351880i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.744414 | + | 1.28936i | 0.0348222 | + | 0.0603138i | 0.882911 | − | 0.469540i | \(-0.155580\pi\) |
−0.848089 | + | 0.529854i | \(0.822247\pi\) | |||||||
\(458\) | 2.40132 | 0.112206 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 48.0281 | 2.23932 | ||||||||
\(461\) | −3.55667 | − | 6.16033i | −0.165651 | − | 0.286915i | 0.771236 | − | 0.636550i | \(-0.219639\pi\) |
−0.936886 | + | 0.349635i | \(0.886306\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.2704 | − | 22.9849i | 0.616726 | − | 1.06820i | −0.373353 | − | 0.927689i | \(-0.621792\pi\) |
0.990079 | − | 0.140512i | \(-0.0448748\pi\) | |||||||
\(464\) | −12.5167 | + | 21.6796i | −0.581073 | + | 1.00645i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.657278 | − | 1.13844i | −0.0304478 | − | 0.0527371i | ||||
\(467\) | −26.1519 | −1.21017 | −0.605084 | − | 0.796162i | \(-0.706860\pi\) | ||||
−0.605084 | + | 0.796162i | \(0.706860\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.67520 | −0.169705 | ||||||||
\(470\) | −0.357946 | − | 0.619980i | −0.0165108 | − | 0.0285975i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −4.06947 | + | 7.04852i | −0.187312 | + | 0.324435i | ||||
\(473\) | −6.94009 | + | 12.0206i | −0.319106 | + | 0.552707i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.74164 | + | 4.74866i | 0.125795 | + | 0.217884i | ||||
\(476\) | 27.6086 | 1.26544 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 2.86425 | 0.131008 | ||||||||
\(479\) | −5.20327 | − | 9.01234i | −0.237744 | − | 0.411784i | 0.722323 | − | 0.691556i | \(-0.243074\pi\) |
−0.960067 | + | 0.279772i | \(0.909741\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.89742 | − | 3.28644i | 0.0865151 | − | 0.149849i | ||||
\(482\) | −1.25567 | + | 2.17489i | −0.0571944 | + | 0.0990636i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −4.71977 | − | 8.17488i | −0.214535 | − | 0.371585i | ||||
\(485\) | −3.54358 | −0.160906 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.4664 | −0.836791 | −0.418396 | − | 0.908265i | \(-0.637407\pi\) | ||||
−0.418396 | + | 0.908265i | \(0.637407\pi\) | |||||||
\(488\) | −2.81112 | − | 4.86901i | −0.127254 | − | 0.220410i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.707730 | − | 1.22582i | 0.0319720 | − | 0.0553771i | ||||
\(491\) | −8.48695 | + | 14.6998i | −0.383011 | + | 0.663394i | −0.991491 | − | 0.130175i | \(-0.958446\pi\) |
0.608480 | + | 0.793569i | \(0.291779\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.1417 | + | 26.2262i | 0.681947 | + | 1.18117i | ||||
\(494\) | −0.0809779 | −0.00364337 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 25.0316 | 1.12395 | ||||||||
\(497\) | −7.45667 | − | 12.9153i | −0.334477 | − | 0.579332i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −12.3231 | + | 21.3442i | −0.551657 | + | 0.955498i | 0.446498 | + | 0.894785i | \(0.352671\pi\) |
−0.998155 | + | 0.0607136i | \(0.980662\pi\) | |||||||
\(500\) | 14.5824 | − | 25.2575i | 0.652145 | − | 1.12955i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −0.782873 | − | 1.35598i | −0.0349413 | − | 0.0605201i | ||||
\(503\) | −40.1137 | −1.78858 | −0.894291 | − | 0.447485i | \(-0.852320\pi\) | ||||
−0.894291 | + | 0.447485i | \(0.852320\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 20.9552 | 0.932495 | ||||||||
\(506\) | −1.40601 | − | 2.43529i | −0.0625050 | − | 0.108262i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 20.4857 | − | 35.4823i | 0.908905 | − | 1.57427i | ||||
\(509\) | 2.47426 | − | 4.28554i | 0.109670 | − | 0.189953i | −0.805967 | − | 0.591961i | \(-0.798354\pi\) |
0.915636 | + | 0.402007i | \(0.131687\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.51689 | − | 11.2876i | −0.288290 | − | 0.499333i | ||||
\(512\) | −13.0229 | −0.575537 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.67785 | 0.0740066 | ||||||||
\(515\) | 17.6086 | + | 30.4990i | 0.775927 | + | 1.34395i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.37992 | − | 2.39009i | 0.0606889 | − | 0.105116i | ||||
\(518\) | 1.30037 | − | 2.25231i | 0.0571350 | − | 0.0989608i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.981674 | + | 1.70031i | 0.0430493 | + | 0.0745635i | ||||
\(521\) | −7.73958 | −0.339077 | −0.169539 | − | 0.985524i | \(-0.554228\pi\) | ||||
−0.169539 | + | 0.985524i | \(0.554228\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 36.0140 | 1.57478 | 0.787391 | − | 0.616453i | \(-0.211431\pi\) | ||||
0.787391 | + | 0.616453i | \(0.211431\pi\) | |||||||
\(524\) | 0.646018 | + | 1.11894i | 0.0282214 | + | 0.0488810i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.32266 | − | 4.02296i | 0.101273 | − | 0.175409i | ||||
\(527\) | 15.1406 | − | 26.2243i | 0.659535 | − | 1.14235i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.78374 | − | 16.9459i | −0.425380 | − | 0.736780i | ||||
\(530\) | 5.71561 | 0.248270 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.65411 | 0.158426 | ||||||||
\(533\) | −2.01241 | − | 3.48559i | −0.0871670 | − | 0.150978i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.38812 | + | 4.13635i | −0.103248 | + | 0.178830i | ||||
\(536\) | 0.416273 | − | 0.721007i | 0.0179803 | − | 0.0311427i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −1.01527 | − | 1.75849i | −0.0437713 | − | 0.0758141i | ||||
\(539\) | 5.45676 | 0.235039 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.4147 | −1.04967 | −0.524834 | − | 0.851204i | \(-0.675873\pi\) | ||||
−0.524834 | + | 0.851204i | \(0.675873\pi\) | |||||||
\(542\) | 0.0125041 | + | 0.0216577i | 0.000537097 | + | 0.000930280i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −4.70244 | + | 8.14486i | −0.201615 | + | 0.349208i | ||||
\(545\) | 13.8381 | − | 23.9684i | 0.592761 | − | 1.02669i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 14.1809 | + | 24.5620i | 0.606331 | + | 1.05020i | 0.991840 | + | 0.127492i | \(0.0406927\pi\) |
−0.385509 | + | 0.922704i | \(0.625974\pi\) | |||||||
\(548\) | 16.9183 | 0.722712 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.86261 | −0.164702 | ||||||||
\(551\) | 2.00406 | + | 3.47114i | 0.0853759 | + | 0.147875i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17.8777 | − | 30.9650i | 0.760235 | − | 1.31677i | ||||
\(554\) | −0.0877355 | + | 0.151962i | −0.00372753 | + | 0.00645626i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 13.2450 | + | 22.9410i | 0.561712 | + | 0.972914i | ||||
\(557\) | 36.9373 | 1.56508 | 0.782542 | − | 0.622598i | \(-0.213923\pi\) | ||||
0.782542 | + | 0.622598i | \(0.213923\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.26226 | −0.180274 | ||||||||
\(560\) | −21.6431 | − | 37.4869i | −0.914586 | − | 1.58411i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 2.38097 | − | 4.12396i | 0.100435 | − | 0.173959i | ||||
\(563\) | 11.3877 | − | 19.7241i | 0.479935 | − | 0.831271i | −0.519800 | − | 0.854288i | \(-0.673994\pi\) |
0.999735 | + | 0.0230164i | \(0.00732700\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 17.4721 | + | 30.2626i | 0.735057 | + | 1.27316i | ||||
\(566\) | 4.63625 | 0.194876 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.37833 | 0.141752 | ||||||||
\(569\) | 15.4344 | + | 26.7331i | 0.647043 | + | 1.12071i | 0.983826 | + | 0.179129i | \(0.0573279\pi\) |
−0.336783 | + | 0.941582i | \(0.609339\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −6.41025 | + | 11.1029i | −0.268260 | + | 0.464641i | −0.968413 | − | 0.249353i | \(-0.919782\pi\) |
0.700152 | + | 0.713994i | \(0.253115\pi\) | |||||||
\(572\) | −1.87797 | + | 3.25274i | −0.0785219 | + | 0.136004i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.37917 | − | 2.38880i | −0.0575655 | − | 0.0997064i | ||||
\(575\) | −58.4708 | −2.43840 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −23.5264 | −0.979417 | −0.489708 | − | 0.871886i | \(-0.662897\pi\) | ||||
−0.489708 | + | 0.871886i | \(0.662897\pi\) | |||||||
\(578\) | 0.377963 | + | 0.654651i | 0.0157212 | + | 0.0272299i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 24.1116 | − | 41.7626i | 1.00118 | − | 1.73410i | ||||
\(581\) | 13.6661 | − | 23.6704i | 0.566965 | − | 0.982013i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 11.0172 | + | 19.0823i | 0.456284 | + | 0.790307i | ||||
\(584\) | 2.95255 | 0.122178 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.22726 | 0.133317 | ||||||||
\(587\) | 5.69372 | + | 9.86181i | 0.235005 | + | 0.407041i | 0.959274 | − | 0.282477i | \(-0.0911560\pi\) |
−0.724269 | + | 0.689517i | \(0.757823\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.00392 | − | 3.47089i | 0.0825700 | − | 0.143016i | ||||
\(590\) | 3.83011 | − | 6.63394i | 0.157683 | − | 0.273115i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −9.47640 | − | 16.4136i | −0.389478 | − | 0.674595i | ||||
\(593\) | 37.7324 | 1.54948 | 0.774742 | − | 0.632277i | \(-0.217880\pi\) | ||||
0.774742 | + | 0.632277i | \(0.217880\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −52.3640 | −2.14672 | ||||||||
\(596\) | −9.47812 | − | 16.4166i | −0.388239 | − | 0.672449i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0.431753 | − | 0.747817i | 0.0176557 | − | 0.0305805i | ||||
\(599\) | 23.6791 | − | 41.0134i | 0.967502 | − | 1.67576i | 0.264764 | − | 0.964313i | \(-0.414706\pi\) |
0.702738 | − | 0.711449i | \(-0.251961\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 15.5537 | + | 26.9398i | 0.634449 | + | 1.09890i | 0.986631 | + | 0.162967i | \(0.0521065\pi\) |
−0.352182 | + | 0.935932i | \(0.614560\pi\) | |||||||
\(602\) | −2.92108 | −0.119054 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 14.0431 | 0.571407 | ||||||||
\(605\) | 8.95178 | + | 15.5049i | 0.363942 | + | 0.630365i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.7432 | + | 25.5360i | −0.598409 | + | 1.03647i | 0.394647 | + | 0.918833i | \(0.370867\pi\) |
−0.993056 | + | 0.117642i | \(0.962467\pi\) | |||||||
\(608\) | −0.622386 | + | 1.07801i | −0.0252411 | + | 0.0437189i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 2.64578 | + | 4.58262i | 0.107124 | + | 0.185545i | ||||
\(611\) | 0.847480 | 0.0342854 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.10428 | −0.246550 | −0.123275 | − | 0.992373i | \(-0.539340\pi\) | ||||
−0.123275 | + | 0.992373i | \(0.539340\pi\) | |||||||
\(614\) | 2.92236 | + | 5.06168i | 0.117937 | + | 0.204273i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −2.59363 | + | 4.49229i | −0.104500 | + | 0.181000i | ||||
\(617\) | −9.56005 | + | 16.5585i | −0.384873 | + | 0.666620i | −0.991752 | − | 0.128175i | \(-0.959088\pi\) |
0.606878 | + | 0.794795i | \(0.292422\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 3.37693 | + | 5.84901i | 0.135730 | + | 0.235092i | 0.925876 | − | 0.377827i | \(-0.123329\pi\) |
−0.790146 | + | 0.612919i | \(0.789995\pi\) | |||||||
\(620\) | −48.2198 | −1.93655 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.99994 | 0.240576 | ||||||||
\(623\) | 11.4270 | + | 19.7922i | 0.457813 | + | 0.792956i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.25307 | + | 9.09859i | −0.210123 | + | 0.363944i | ||||
\(626\) | 0.288903 | − | 0.500394i | 0.0115469 | − | 0.0199998i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.57079 | + | 13.1130i | 0.302107 | + | 0.523265i | ||||
\(629\) | −22.9276 | −0.914182 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −0.456907 | −0.0181892 | −0.00909458 | − | 0.999959i | \(-0.502895\pi\) | ||||
−0.00909458 | + | 0.999959i | \(0.502895\pi\) | |||||||
\(632\) | 4.04984 | + | 7.01454i | 0.161094 | + | 0.279023i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −2.68396 | + | 4.64876i | −0.106594 | + | 0.184626i | ||||
\(635\) | −38.8543 | + | 67.2976i | −1.54189 | + | 2.67062i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.837819 | + | 1.45114i | 0.0331956 | + | 0.0574964i | ||||
\(638\) | −2.82346 | −0.111782 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 19.9161 | 0.787253 | ||||||||
\(641\) | 1.43552 | + | 2.48639i | 0.0566994 | + | 0.0982063i | 0.892982 | − | 0.450092i | \(-0.148609\pi\) |
−0.836282 | + | 0.548299i | \(0.815276\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.851422 | − | 1.47471i | 0.0335768 | − | 0.0581567i | −0.848749 | − | 0.528796i | \(-0.822643\pi\) |
0.882325 | + | 0.470640i | \(0.155977\pi\) | |||||||
\(644\) | −19.4827 | + | 33.7451i | −0.767727 | + | 1.32974i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.244624 | + | 0.423702i | 0.00962462 | + | 0.0166703i | ||||
\(647\) | 36.1004 | 1.41925 | 0.709626 | − | 0.704579i | \(-0.248864\pi\) | ||||
0.709626 | + | 0.704579i | \(0.248864\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.5310 | 1.15919 | ||||||||
\(650\) | −0.593056 | − | 1.02720i | −0.0232616 | − | 0.0402902i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.03183 | − | 1.78718i | 0.0404095 | − | 0.0699914i | ||||
\(653\) | 21.7840 | − | 37.7310i | 0.852473 | − | 1.47653i | −0.0264960 | − | 0.999649i | \(-0.508435\pi\) |
0.878969 | − | 0.476878i | \(-0.158232\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.22527 | − | 2.12224i | −0.0478754 | − | 0.0829227i | ||||
\(656\) | −20.1013 | −0.784825 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.580807 | 0.0226422 | ||||||||
\(659\) | −12.7405 | − | 22.0672i | −0.496299 | − | 0.859615i | 0.503692 | − | 0.863883i | \(-0.331975\pi\) |
−0.999991 | + | 0.00426823i | \(0.998641\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −17.0836 | + | 29.5897i | −0.664475 | + | 1.15090i | 0.314952 | + | 0.949107i | \(0.398011\pi\) |
−0.979427 | + | 0.201797i | \(0.935322\pi\) | |||||||
\(662\) | 0.282961 | − | 0.490102i | 0.0109976 | − | 0.0190484i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.09580 | + | 5.36207i | 0.120140 | + | 0.208089i | ||||
\(665\) | −6.93059 | −0.268757 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −42.7405 | −1.65492 | ||||||||
\(668\) | −8.22910 | − | 14.2532i | −0.318393 | − | 0.551473i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.391789 | + | 0.678598i | −0.0151361 | + | 0.0262165i | ||||
\(671\) | −10.1998 | + | 17.6665i | −0.393757 | + | 0.682008i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.7719 | + | 25.5856i | 0.569413 | + | 0.986253i | 0.996624 | + | 0.0821009i | \(0.0261630\pi\) |
−0.427211 | + | 0.904152i | \(0.640504\pi\) | |||||||
\(674\) | −1.10113 | −0.0424140 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 24.4577 | 0.940680 | ||||||||
\(677\) | −20.3901 | − | 35.3167i | −0.783656 | − | 1.35733i | −0.929799 | − | 0.368068i | \(-0.880019\pi\) |
0.146143 | − | 0.989264i | \(-0.453314\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.43747 | − | 2.48977i | 0.0551649 | − | 0.0955484i | ||||
\(680\) | 5.93104 | − | 10.2729i | 0.227445 | − | 0.393946i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.41163 | + | 2.44501i | 0.0540540 | + | 0.0936243i | ||||
\(683\) | 31.6426 | 1.21077 | 0.605384 | − | 0.795933i | \(-0.293019\pi\) | ||||
0.605384 | + | 0.795933i | \(0.293019\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −32.0881 | −1.22602 | ||||||||
\(686\) | −1.26113 | − | 2.18434i | −0.0481502 | − | 0.0833986i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −10.6436 | + | 18.4353i | −0.405784 | + | 0.702839i | ||||
\(689\) | −3.38310 | + | 5.85970i | −0.128886 | + | 0.223237i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 14.2924 | + | 24.7551i | 0.543708 | + | 0.941729i | 0.998687 | + | 0.0512273i | \(0.0163133\pi\) |
−0.454979 | + | 0.890502i | \(0.650353\pi\) | |||||||
\(692\) | 43.0379 | 1.63606 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.52088 | 0.0577316 | ||||||||
\(695\) | −25.1212 | − | 43.5112i | −0.952900 | − | 1.65047i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.1585 | + | 21.0591i | −0.460535 | + | 0.797670i | ||||
\(698\) | 1.24545 | − | 2.15718i | 0.0471408 | − | 0.0816503i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 26.7615 | + | 46.3523i | 1.01149 | + | 1.75195i | ||||
\(701\) | −7.52982 | −0.284397 | −0.142199 | − | 0.989838i | \(-0.545417\pi\) | ||||
−0.142199 | + | 0.989838i | \(0.545417\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.03455 | −0.114450 | ||||||||
\(704\) | 9.08327 | + | 15.7327i | 0.342338 | + | 0.592948i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.87144 | − | 4.97348i | 0.108068 | − | 0.187180i | ||||
\(707\) | −8.50055 | + | 14.7234i | −0.319696 | + | 0.553730i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.00699 | − | 6.94032i | −0.150486 | − | 0.260649i | 0.780920 | − | 0.624631i | \(-0.214750\pi\) |
−0.931406 | + | 0.363982i | \(0.881417\pi\) | |||||||
\(710\) | −3.17962 | −0.119329 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.17714 | −0.194022 | ||||||||
\(713\) | 21.3687 | + | 37.0117i | 0.800265 | + | 1.38610i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.56187 | − | 6.16933i | 0.133206 | − | 0.230720i | ||||
\(716\) | 8.95269 | − | 15.5065i | 0.334578 | − | 0.579506i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.427695 | + | 0.740790i | 0.0159615 | + | 0.0276460i | ||||
\(719\) | 26.9826 | 1.00628 | 0.503140 | − | 0.864205i | \(-0.332178\pi\) | ||||
0.503140 | + | 0.864205i | \(0.332178\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.5719 | −1.06407 | ||||||||
\(722\) | −1.61089 | − | 2.79015i | −0.0599513 | − | 0.103839i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −7.02409 | + | 12.1661i | −0.261048 | + | 0.452149i | ||||
\(725\) | −29.3542 | + | 50.8430i | −1.09019 | + | 1.88826i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.34717 | + | 12.7257i | 0.272491 | + | 0.471969i | 0.969499 | − | 0.245095i | \(-0.0788190\pi\) |
−0.697008 | + | 0.717064i | \(0.745486\pi\) | |||||||
\(728\) | −1.59288 | −0.0590360 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.77889 | −0.102851 | ||||||||
\(731\) | 12.8758 | + | 22.3015i | 0.476228 | + | 0.824851i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 15.6719 | − | 27.1445i | 0.578854 | − | 1.00261i | −0.416757 | − | 0.909018i | \(-0.636833\pi\) |
0.995611 | − | 0.0935872i | \(-0.0298334\pi\) | |||||||
\(734\) | −0.215567 | + | 0.373373i | −0.00795673 | + | 0.0137815i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −6.63680 | − | 11.4953i | −0.244636 | − | 0.423721i | ||||
\(737\) | −3.02078 | −0.111272 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.482909 | 0.0177641 | 0.00888205 | − | 0.999961i | \(-0.497173\pi\) | ||||
0.00888205 | + | 0.999961i | \(0.497173\pi\) | |||||||
\(740\) | 18.2549 | + | 31.6185i | 0.671065 | + | 1.16232i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −2.31855 | + | 4.01585i | −0.0851168 | + | 0.147427i | ||||
\(743\) | −21.5254 | + | 37.2830i | −0.789689 | + | 1.36778i | 0.136468 | + | 0.990644i | \(0.456425\pi\) |
−0.926157 | + | 0.377137i | \(0.876908\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 17.9767 | + | 31.1366i | 0.658616 | + | 1.14076i | ||||
\(746\) | 4.85156 | 0.177628 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 22.6925 | 0.829720 | ||||||||
\(749\) | −1.93750 | − | 3.35585i | −0.0707947 | − | 0.122620i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −21.9608 | + | 38.0372i | −0.801361 | + | 1.38800i | 0.117359 | + | 0.993090i | \(0.462557\pi\) |
−0.918720 | + | 0.394909i | \(0.870776\pi\) | |||||||
\(752\) | 2.11631 | − | 3.66555i | 0.0771737 | − | 0.133669i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.433507 | − | 0.750857i | −0.0157874 | − | 0.0273446i | ||||
\(755\) | −26.6350 | −0.969346 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.4143 | 0.814661 | 0.407331 | − | 0.913281i | \(-0.366460\pi\) | ||||
0.407331 | + | 0.913281i | \(0.366460\pi\) | |||||||
\(758\) | 0.444540 | + | 0.769966i | 0.0161464 | + | 0.0279664i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.784997 | − | 1.35965i | 0.0284748 | − | 0.0493198i | ||||
\(761\) | 4.99837 | − | 8.65743i | 0.181191 | − | 0.313832i | −0.761096 | − | 0.648640i | \(-0.775338\pi\) |
0.942286 | + | 0.334808i | \(0.108672\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.2270 | + | 19.4457i | 0.406444 | + | 0.703982i | ||||
\(764\) | 23.5535 | 0.852137 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.00772733 | 0.000279200 | ||||||||
\(767\) | 4.53412 | + | 7.85332i | 0.163718 | + | 0.283567i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 3.74810 | − | 6.49189i | 0.135160 | − | 0.234104i | −0.790499 | − | 0.612464i | \(-0.790179\pi\) |
0.925658 | + | 0.378360i | \(0.123512\pi\) | |||||||
\(770\) | 2.44107 | − | 4.22806i | 0.0879701 | − | 0.152369i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −8.74088 | − | 15.1397i | −0.314591 | − | 0.544888i | ||||
\(773\) | −19.8391 | −0.713562 | −0.356781 | − | 0.934188i | \(-0.616126\pi\) | ||||
−0.356781 | + | 0.934188i | \(0.616126\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 58.7043 | 2.10872 | ||||||||
\(776\) | 0.325631 | + | 0.564009i | 0.0116895 | + | 0.0202467i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.81471 | − | 3.14318i | 0.0650606 | − | 0.112688i | ||||
\(779\) | −1.60922 | + | 2.78726i | −0.0576564 | + | 0.0998638i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.12890 | − | 10.6156i | −0.219309 | − | 0.379855i | ||||
\(782\) | −5.21709 | −0.186563 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 8.36872 | 0.298883 | ||||||||
\(785\) |