Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(57,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.57");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.be (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 57.18 | ||
Character | \(\chi\) | \(=\) | 403.57 |
Dual form | 403.2.be.c.99.18 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.0740210 | − | 0.0740210i | 0.0523408 | − | 0.0523408i | −0.680452 | − | 0.732793i | \(-0.738216\pi\) |
0.732793 | + | 0.680452i | \(0.238216\pi\) | |||||||
\(3\) | −1.19559 | − | 0.690275i | −0.690275 | − | 0.398531i | 0.113440 | − | 0.993545i | \(-0.463813\pi\) |
−0.803715 | + | 0.595014i | \(0.797146\pi\) | |||||||
\(4\) | 1.98904i | 0.994521i | ||||||||
\(5\) | 2.69078 | + | 0.720992i | 1.20335 | + | 0.322438i | 0.804151 | − | 0.594425i | \(-0.202620\pi\) |
0.399202 | + | 0.916863i | \(0.369287\pi\) | |||||||
\(6\) | −0.139594 | + | 0.0374041i | −0.0569890 | + | 0.0152701i | ||||
\(7\) | −0.0708884 | + | 0.0189945i | −0.0267933 | + | 0.00717924i | −0.272191 | − | 0.962243i | \(-0.587748\pi\) |
0.245398 | + | 0.969423i | \(0.421082\pi\) | |||||||
\(8\) | 0.295273 | + | 0.295273i | 0.104395 | + | 0.104395i | ||||
\(9\) | −0.547040 | − | 0.947500i | −0.182347 | − | 0.315833i | ||||
\(10\) | 0.252543 | − | 0.145806i | 0.0798611 | − | 0.0461078i | ||||
\(11\) | 2.17289 | + | 0.582225i | 0.655151 | + | 0.175547i | 0.571057 | − | 0.820910i | \(-0.306534\pi\) |
0.0840946 | + | 0.996458i | \(0.473200\pi\) | |||||||
\(12\) | 1.37299 | − | 2.37808i | 0.396347 | − | 0.686493i | ||||
\(13\) | −0.881260 | + | 3.49620i | −0.244417 | + | 0.969670i | ||||
\(14\) | −0.00384124 | + | 0.00665322i | −0.00102661 | + | 0.00177815i | ||||
\(15\) | −2.71939 | − | 2.71939i | −0.702144 | − | 0.702144i | ||||
\(16\) | −3.93437 | −0.983593 | ||||||||
\(17\) | −0.781680 | + | 1.35391i | −0.189585 | + | 0.328371i | −0.945112 | − | 0.326747i | \(-0.894048\pi\) |
0.755527 | + | 0.655118i | \(0.227381\pi\) | |||||||
\(18\) | −0.110627 | − | 0.0296425i | −0.0260751 | − | 0.00698681i | ||||
\(19\) | 1.41688 | + | 5.28786i | 0.325054 | + | 1.21312i | 0.914257 | + | 0.405134i | \(0.132775\pi\) |
−0.589203 | + | 0.807985i | \(0.700558\pi\) | |||||||
\(20\) | −1.43408 | + | 5.35207i | −0.320671 | + | 1.19676i | ||||
\(21\) | 0.0978650 | + | 0.0262228i | 0.0213559 | + | 0.00572229i | ||||
\(22\) | 0.203937 | − | 0.117743i | 0.0434794 | − | 0.0251029i | ||||
\(23\) | 7.81062 | 1.62863 | 0.814313 | − | 0.580425i | \(-0.197114\pi\) | ||||
0.814313 | + | 0.580425i | \(0.197114\pi\) | |||||||
\(24\) | −0.149206 | − | 0.556846i | −0.0304566 | − | 0.113666i | ||||
\(25\) | 2.39034 | + | 1.38006i | 0.478067 | + | 0.276012i | ||||
\(26\) | 0.193560 | + | 0.324024i | 0.0379603 | + | 0.0635463i | ||||
\(27\) | 5.65208i | 1.08774i | ||||||||
\(28\) | −0.0377808 | − | 0.141000i | −0.00713990 | − | 0.0266465i | ||||
\(29\) | − | 5.86541i | − | 1.08918i | −0.838703 | − | 0.544589i | \(-0.816686\pi\) | ||
0.838703 | − | 0.544589i | \(-0.183314\pi\) | |||||||
\(30\) | −0.402584 | −0.0735015 | ||||||||
\(31\) | 4.87932 | + | 2.68183i | 0.876352 | + | 0.481672i | ||||
\(32\) | −0.881772 | + | 0.881772i | −0.155877 | + | 0.155877i | ||||
\(33\) | −2.19600 | − | 2.19600i | −0.382274 | − | 0.382274i | ||||
\(34\) | 0.0423570 | + | 0.158078i | 0.00726416 | + | 0.0271102i | ||||
\(35\) | −0.204440 | −0.0345566 | ||||||||
\(36\) | 1.88462 | − | 1.08808i | 0.314103 | − | 0.181347i | ||||
\(37\) | −0.0140476 | − | 0.0524265i | −0.00230942 | − | 0.00861886i | 0.964762 | − | 0.263126i | \(-0.0847535\pi\) |
−0.967071 | + | 0.254507i | \(0.918087\pi\) | |||||||
\(38\) | 0.496292 | + | 0.286534i | 0.0805092 | + | 0.0464820i | ||||
\(39\) | 3.46697 | − | 3.57171i | 0.555159 | − | 0.571932i | ||||
\(40\) | 0.581625 | + | 1.00740i | 0.0919630 | + | 0.159285i | ||||
\(41\) | −6.76629 | − | 1.81302i | −1.05672 | − | 0.283147i | −0.311692 | − | 0.950183i | \(-0.600896\pi\) |
−0.745025 | + | 0.667036i | \(0.767563\pi\) | |||||||
\(42\) | 0.00918511 | − | 0.00530302i | 0.00141729 | − | 0.000818274i | ||||
\(43\) | 4.14205 | − | 7.17424i | 0.631657 | − | 1.09406i | −0.355556 | − | 0.934655i | \(-0.615709\pi\) |
0.987213 | − | 0.159407i | \(-0.0509581\pi\) | |||||||
\(44\) | −1.15807 | + | 4.32197i | −0.174585 | + | 0.651562i | ||||
\(45\) | −0.788822 | − | 2.94393i | −0.117591 | − | 0.438855i | ||||
\(46\) | 0.578150 | − | 0.578150i | 0.0852436 | − | 0.0852436i | ||||
\(47\) | 8.95916 | + | 8.95916i | 1.30683 | + | 1.30683i | 0.923692 | + | 0.383137i | \(0.125156\pi\) |
0.383137 | + | 0.923692i | \(0.374844\pi\) | |||||||
\(48\) | 4.70390 | + | 2.71580i | 0.678950 | + | 0.391992i | ||||
\(49\) | −6.05751 | + | 3.49731i | −0.865359 | + | 0.499615i | ||||
\(50\) | 0.279089 | − | 0.0747816i | 0.0394691 | − | 0.0105757i | ||||
\(51\) | 1.86914 | − | 1.07915i | 0.261732 | − | 0.151111i | ||||
\(52\) | −6.95408 | − | 1.75286i | −0.964357 | − | 0.243078i | ||||
\(53\) | −1.63355 | + | 0.943131i | −0.224385 | + | 0.129549i | −0.607979 | − | 0.793953i | \(-0.708020\pi\) |
0.383594 | + | 0.923502i | \(0.374686\pi\) | |||||||
\(54\) | 0.418373 | + | 0.418373i | 0.0569334 | + | 0.0569334i | ||||
\(55\) | 5.42699 | + | 3.13328i | 0.731776 | + | 0.422491i | ||||
\(56\) | −0.0265400 | − | 0.0153229i | −0.00354655 | − | 0.00204760i | ||||
\(57\) | 1.95607 | − | 7.30016i | 0.259088 | − | 0.966930i | ||||
\(58\) | −0.434163 | − | 0.434163i | −0.0570085 | − | 0.0570085i | ||||
\(59\) | −1.74192 | + | 0.466747i | −0.226779 | + | 0.0607653i | −0.370419 | − | 0.928865i | \(-0.620786\pi\) |
0.143640 | + | 0.989630i | \(0.454119\pi\) | |||||||
\(60\) | 5.40898 | − | 5.40898i | 0.698297 | − | 0.698297i | ||||
\(61\) | − | 9.87311i | − | 1.26412i | −0.774919 | − | 0.632061i | \(-0.782209\pi\) | ||
0.774919 | − | 0.632061i | \(-0.217791\pi\) | |||||||
\(62\) | 0.559684 | − | 0.162660i | 0.0710800 | − | 0.0206579i | ||||
\(63\) | 0.0567760 | + | 0.0567760i | 0.00715310 | + | 0.00715310i | ||||
\(64\) | − | 7.73820i | − | 0.967275i | ||||||
\(65\) | −4.89201 | + | 8.77211i | −0.606779 | + | 1.08805i | ||||
\(66\) | −0.325100 | −0.0400170 | ||||||||
\(67\) | −10.2075 | − | 2.73509i | −1.24704 | − | 0.334144i | −0.425850 | − | 0.904794i | \(-0.640025\pi\) |
−0.821194 | + | 0.570649i | \(0.806692\pi\) | |||||||
\(68\) | −2.69298 | − | 1.55479i | −0.326572 | − | 0.188546i | ||||
\(69\) | −9.33832 | − | 5.39148i | −1.12420 | − | 0.649058i | ||||
\(70\) | −0.0151328 | + | 0.0151328i | −0.00180872 | + | 0.00180872i | ||||
\(71\) | −6.07642 | − | 1.62817i | −0.721138 | − | 0.193228i | −0.120459 | − | 0.992718i | \(-0.538437\pi\) |
−0.600679 | + | 0.799490i | \(0.705103\pi\) | |||||||
\(72\) | 0.118245 | − | 0.441297i | 0.0139353 | − | 0.0520074i | ||||
\(73\) | −0.858544 | − | 0.230046i | −0.100485 | − | 0.0269249i | 0.208226 | − | 0.978081i | \(-0.433231\pi\) |
−0.308711 | + | 0.951156i | \(0.599898\pi\) | |||||||
\(74\) | −0.00492048 | − | 0.00284084i | −0.000571994 | − | 0.000330241i | ||||
\(75\) | −1.90525 | − | 3.29998i | −0.219999 | − | 0.381049i | ||||
\(76\) | −10.5178 | + | 2.81823i | −1.20647 | + | 0.323273i | ||||
\(77\) | −0.165092 | −0.0188140 | ||||||||
\(78\) | −0.00775345 | − | 0.521010i | −0.000877905 | − | 0.0589928i | ||||
\(79\) | −5.20913 | − | 3.00749i | −0.586073 | − | 0.338370i | 0.177470 | − | 0.984126i | \(-0.443209\pi\) |
−0.763543 | + | 0.645757i | \(0.776542\pi\) | |||||||
\(80\) | −10.5865 | − | 2.83665i | −1.18361 | − | 0.317147i | ||||
\(81\) | 2.26038 | − | 3.91509i | 0.251153 | − | 0.435010i | ||||
\(82\) | −0.635050 | + | 0.366646i | −0.0701295 | + | 0.0404893i | ||||
\(83\) | 3.62924 | − | 13.5445i | 0.398361 | − | 1.48670i | −0.417619 | − | 0.908622i | \(-0.637135\pi\) |
0.815980 | − | 0.578080i | \(-0.196198\pi\) | |||||||
\(84\) | −0.0521583 | + | 0.194658i | −0.00569094 | + | 0.0212389i | ||||
\(85\) | −3.07949 | + | 3.07949i | −0.334017 | + | 0.334017i | ||||
\(86\) | −0.224446 | − | 0.837643i | −0.0242026 | − | 0.0903254i | ||||
\(87\) | −4.04875 | + | 7.01264i | −0.434071 | + | 0.751833i | ||||
\(88\) | 0.469681 | + | 0.813511i | 0.0500682 | + | 0.0867206i | ||||
\(89\) | 1.09355 | − | 1.09355i | 0.115916 | − | 0.115916i | −0.646769 | − | 0.762686i | \(-0.723880\pi\) |
0.762686 | + | 0.646769i | \(0.223880\pi\) | |||||||
\(90\) | −0.276302 | − | 0.159523i | −0.0291248 | − | 0.0168152i | ||||
\(91\) | −0.00393735 | − | 0.264579i | −0.000412746 | − | 0.0277354i | ||||
\(92\) | 15.5356i | 1.61970i | ||||||||
\(93\) | −3.98247 | − | 6.57445i | −0.412963 | − | 0.681739i | ||||
\(94\) | 1.32633 | 0.136801 | ||||||||
\(95\) | 15.2500i | 1.56462i | ||||||||
\(96\) | 1.66291 | − | 0.445574i | 0.169720 | − | 0.0454762i | ||||
\(97\) | 8.85333 | − | 8.85333i | 0.898920 | − | 0.898920i | −0.0964208 | − | 0.995341i | \(-0.530739\pi\) |
0.995341 | + | 0.0964208i | \(0.0307395\pi\) | |||||||
\(98\) | −0.189509 | + | 0.707258i | −0.0191433 | + | 0.0714438i | ||||
\(99\) | −0.637000 | − | 2.37732i | −0.0640209 | − | 0.238929i | ||||
\(100\) | −2.74500 | + | 4.75448i | −0.274500 | + | 0.475448i | ||||
\(101\) | − | 13.0681i | − | 1.30033i | −0.759795 | − | 0.650163i | \(-0.774701\pi\) | ||
0.759795 | − | 0.650163i | \(-0.225299\pi\) | |||||||
\(102\) | 0.0584760 | − | 0.218235i | 0.00578999 | − | 0.0216085i | ||||
\(103\) | 15.3195 | − | 8.84469i | 1.50947 | − | 0.871494i | 0.509532 | − | 0.860452i | \(-0.329818\pi\) |
0.999939 | − | 0.0110421i | \(-0.00351490\pi\) | |||||||
\(104\) | −1.29254 | + | 0.772120i | −0.126744 | + | 0.0757126i | ||||
\(105\) | 0.244427 | + | 0.141120i | 0.0238536 | + | 0.0137719i | ||||
\(106\) | −0.0511056 | + | 0.190729i | −0.00496381 | + | 0.0185252i | ||||
\(107\) | −5.95544 | + | 10.3151i | −0.575734 | + | 0.997201i | 0.420227 | + | 0.907419i | \(0.361950\pi\) |
−0.995961 | + | 0.0897821i | \(0.971383\pi\) | |||||||
\(108\) | −11.2422 | −1.08178 | ||||||||
\(109\) | −2.01278 | + | 2.01278i | −0.192789 | + | 0.192789i | −0.796900 | − | 0.604111i | \(-0.793528\pi\) |
0.604111 | + | 0.796900i | \(0.293528\pi\) | |||||||
\(110\) | 0.633640 | − | 0.169783i | 0.0604152 | − | 0.0161882i | ||||
\(111\) | −0.0193935 | + | 0.0723774i | −0.00184075 | + | 0.00686976i | ||||
\(112\) | 0.278901 | − | 0.0747313i | 0.0263537 | − | 0.00706145i | ||||
\(113\) | 0.343884 | + | 0.595625i | 0.0323499 | + | 0.0560316i | 0.881747 | − | 0.471722i | \(-0.156368\pi\) |
−0.849397 | + | 0.527754i | \(0.823034\pi\) | |||||||
\(114\) | −0.395575 | − | 0.685156i | −0.0370490 | − | 0.0641708i | ||||
\(115\) | 21.0167 | + | 5.63140i | 1.95981 | + | 0.525130i | ||||
\(116\) | 11.6665 | 1.08321 | ||||||||
\(117\) | 3.79473 | − | 1.07756i | 0.350823 | − | 0.0996208i | ||||
\(118\) | −0.0943899 | + | 0.163488i | −0.00868930 | + | 0.0150503i | ||||
\(119\) | 0.0296952 | − | 0.110824i | 0.00272215 | − | 0.0101592i | ||||
\(120\) | − | 1.60593i | − | 0.146600i | ||||||
\(121\) | −5.14381 | − | 2.96978i | −0.467619 | − | 0.269980i | ||||
\(122\) | −0.730818 | − | 0.730818i | −0.0661651 | − | 0.0661651i | ||||
\(123\) | 6.83824 | + | 6.83824i | 0.616584 | + | 0.616584i | ||||
\(124\) | −5.33428 | + | 9.70517i | −0.479032 | + | 0.871550i | ||||
\(125\) | −4.41208 | − | 4.41208i | −0.394628 | − | 0.394628i | ||||
\(126\) | 0.00840524 | 0.000748798 | ||||||||
\(127\) | −0.315251 | + | 0.546031i | −0.0279740 | + | 0.0484524i | −0.879673 | − | 0.475578i | \(-0.842239\pi\) |
0.851699 | + | 0.524031i | \(0.175572\pi\) | |||||||
\(128\) | −2.33633 | − | 2.33633i | −0.206505 | − | 0.206505i | ||||
\(129\) | −9.90441 | + | 5.71831i | −0.872034 | + | 0.503469i | ||||
\(130\) | 0.287209 | + | 1.01143i | 0.0251899 | + | 0.0887084i | ||||
\(131\) | −1.50149 | + | 2.60066i | −0.131186 | + | 0.227221i | −0.924134 | − | 0.382069i | \(-0.875212\pi\) |
0.792948 | + | 0.609289i | \(0.208545\pi\) | |||||||
\(132\) | 4.36793 | − | 4.36793i | 0.380179 | − | 0.380179i | ||||
\(133\) | −0.200880 | − | 0.347935i | −0.0174185 | − | 0.0301698i | ||||
\(134\) | −0.958023 | + | 0.553115i | −0.0827606 | + | 0.0477819i | ||||
\(135\) | −4.07511 | + | 15.2085i | −0.350730 | + | 1.30894i | ||||
\(136\) | −0.630582 | + | 0.168964i | −0.0540719 | + | 0.0144885i | ||||
\(137\) | 15.7505 | + | 4.22034i | 1.34566 | + | 0.360568i | 0.858531 | − | 0.512762i | \(-0.171378\pi\) |
0.487128 | + | 0.873330i | \(0.338044\pi\) | |||||||
\(138\) | −1.09031 | + | 0.292149i | −0.0928137 | + | 0.0248694i | ||||
\(139\) | − | 19.3415i | − | 1.64053i | −0.571986 | − | 0.820263i | \(-0.693827\pi\) | ||
0.571986 | − | 0.820263i | \(-0.306173\pi\) | |||||||
\(140\) | − | 0.406639i | − | 0.0343673i | ||||||
\(141\) | −4.52722 | − | 16.8958i | −0.381260 | − | 1.42288i | ||||
\(142\) | −0.570302 | + | 0.329264i | −0.0478587 | + | 0.0276312i | ||||
\(143\) | −3.95045 | + | 7.08376i | −0.330353 | + | 0.592374i | ||||
\(144\) | 2.15226 | + | 3.72782i | 0.179355 | + | 0.310651i | ||||
\(145\) | 4.22891 | − | 15.7825i | 0.351192 | − | 1.31067i | ||||
\(146\) | −0.0805786 | + | 0.0465221i | −0.00666873 | + | 0.00385019i | ||||
\(147\) | 9.65642 | 0.796448 | ||||||||
\(148\) | 0.104278 | − | 0.0279413i | 0.00857163 | − | 0.00229676i | ||||
\(149\) | 1.60877 | + | 6.00401i | 0.131795 | + | 0.491867i | 0.999991 | − | 0.00435572i | \(-0.00138647\pi\) |
−0.868195 | + | 0.496223i | \(0.834720\pi\) | |||||||
\(150\) | −0.385296 | − | 0.103240i | −0.0314593 | − | 0.00842950i | ||||
\(151\) | 10.0841 | − | 10.0841i | 0.820635 | − | 0.820635i | −0.165564 | − | 0.986199i | \(-0.552944\pi\) |
0.986199 | + | 0.165564i | \(0.0529443\pi\) | |||||||
\(152\) | −1.14300 | + | 1.97973i | −0.0927093 | + | 0.160577i | ||||
\(153\) | 1.71044 | 0.138281 | ||||||||
\(154\) | −0.0122203 | + | 0.0122203i | −0.000984737 | + | 0.000984737i | ||||
\(155\) | 11.1956 | + | 10.7342i | 0.899252 | + | 0.862190i | ||||
\(156\) | 7.10428 | + | 6.89594i | 0.568798 | + | 0.552117i | ||||
\(157\) | 10.8613 | 0.866825 | 0.433412 | − | 0.901196i | \(-0.357309\pi\) | ||||
0.433412 | + | 0.901196i | \(0.357309\pi\) | |||||||
\(158\) | −0.608203 | + | 0.162968i | −0.0483861 | + | 0.0129650i | ||||
\(159\) | 2.60408 | 0.206517 | ||||||||
\(160\) | −3.00840 | + | 1.73690i | −0.237835 | + | 0.137314i | ||||
\(161\) | −0.553682 | + | 0.148359i | −0.0436363 | + | 0.0116923i | ||||
\(162\) | −0.122483 | − | 0.457114i | −0.00962320 | − | 0.0359143i | ||||
\(163\) | −9.55496 | − | 9.55496i | −0.748403 | − | 0.748403i | 0.225777 | − | 0.974179i | \(-0.427508\pi\) |
−0.974179 | + | 0.225777i | \(0.927508\pi\) | |||||||
\(164\) | 3.60618 | − | 13.4584i | 0.281595 | − | 1.05093i | ||||
\(165\) | −4.32565 | − | 7.49224i | −0.336751 | − | 0.583270i | ||||
\(166\) | −0.733938 | − | 1.27122i | −0.0569646 | − | 0.0986656i | ||||
\(167\) | 1.54657 | + | 5.77187i | 0.119677 | + | 0.446640i | 0.999594 | − | 0.0284866i | \(-0.00906880\pi\) |
−0.879917 | + | 0.475127i | \(0.842402\pi\) | |||||||
\(168\) | 0.0211540 | + | 0.0366398i | 0.00163207 | + | 0.00282682i | ||||
\(169\) | −11.4468 | − | 6.16211i | −0.880520 | − | 0.474009i | ||||
\(170\) | 0.455893i | 0.0349654i | ||||||||
\(171\) | 4.23516 | − | 4.23516i | 0.323871 | − | 0.323871i | ||||
\(172\) | 14.2699 | + | 8.23871i | 1.08807 | + | 0.628196i | ||||
\(173\) | −10.9624 | + | 6.32912i | −0.833452 | + | 0.481194i | −0.855033 | − | 0.518573i | \(-0.826463\pi\) |
0.0215810 | + | 0.999767i | \(0.493130\pi\) | |||||||
\(174\) | 0.219390 | + | 0.818775i | 0.0166319 | + | 0.0620712i | ||||
\(175\) | −0.195661 | − | 0.0524271i | −0.0147906 | − | 0.00396312i | ||||
\(176\) | −8.54896 | − | 2.29069i | −0.644402 | − | 0.172667i | ||||
\(177\) | 2.40482 | + | 0.644368i | 0.180757 | + | 0.0484337i | ||||
\(178\) | − | 0.161892i | − | 0.0121343i | ||||||
\(179\) | −9.00517 | + | 15.5974i | −0.673078 | + | 1.16580i | 0.303949 | + | 0.952688i | \(0.401695\pi\) |
−0.977027 | + | 0.213117i | \(0.931639\pi\) | |||||||
\(180\) | 5.85559 | − | 1.56900i | 0.436450 | − | 0.116946i | ||||
\(181\) | 7.72943 | + | 13.3878i | 0.574524 | + | 0.995105i | 0.996093 | + | 0.0883084i | \(0.0281461\pi\) |
−0.421569 | + | 0.906796i | \(0.638521\pi\) | |||||||
\(182\) | −0.0198758 | − | 0.0192929i | −0.00147329 | − | 0.00143009i | ||||
\(183\) | −6.81516 | + | 11.8042i | −0.503791 | + | 0.872592i | ||||
\(184\) | 2.30626 | + | 2.30626i | 0.170020 | + | 0.170020i | ||||
\(185\) | − | 0.151196i | − | 0.0111162i | ||||||
\(186\) | −0.781435 | − | 0.191861i | −0.0572976 | − | 0.0140679i | ||||
\(187\) | −2.48678 | + | 2.48678i | −0.181852 | + | 0.181852i | ||||
\(188\) | −17.8202 | + | 17.8202i | −1.29967 | + | 1.29967i | ||||
\(189\) | −0.107358 | − | 0.400667i | −0.00780917 | − | 0.0291442i | ||||
\(190\) | 1.12882 | + | 1.12882i | 0.0818934 | + | 0.0818934i | ||||
\(191\) | −11.0220 | − | 19.0907i | −0.797527 | − | 1.38136i | −0.921222 | − | 0.389037i | \(-0.872808\pi\) |
0.123695 | − | 0.992320i | \(-0.460525\pi\) | |||||||
\(192\) | −5.34149 | + | 9.25173i | −0.385489 | + | 0.667686i | ||||
\(193\) | 2.67921 | − | 0.717893i | 0.192854 | − | 0.0516750i | −0.161099 | − | 0.986938i | \(-0.551504\pi\) |
0.353953 | + | 0.935263i | \(0.384837\pi\) | |||||||
\(194\) | − | 1.31067i | − | 0.0941003i | ||||||
\(195\) | 11.9040 | − | 7.11103i | 0.852464 | − | 0.509232i | ||||
\(196\) | −6.95629 | − | 12.0486i | −0.496878 | − | 0.860618i | ||||
\(197\) | −1.36377 | + | 5.08966i | −0.0971647 | + | 0.362624i | −0.997339 | − | 0.0729067i | \(-0.976772\pi\) |
0.900174 | + | 0.435530i | \(0.143439\pi\) | |||||||
\(198\) | −0.223123 | − | 0.128820i | −0.0158566 | − | 0.00915483i | ||||
\(199\) | −0.227452 | − | 0.393959i | −0.0161237 | − | 0.0279270i | 0.857851 | − | 0.513898i | \(-0.171799\pi\) |
−0.873975 | + | 0.485972i | \(0.838466\pi\) | |||||||
\(200\) | 0.298307 | + | 1.11330i | 0.0210935 | + | 0.0787220i | ||||
\(201\) | 10.3160 | + | 10.3160i | 0.727637 | + | 0.727637i | ||||
\(202\) | −0.967315 | − | 0.967315i | −0.0680600 | − | 0.0680600i | ||||
\(203\) | 0.111410 | + | 0.415789i | 0.00781947 | + | 0.0291827i | ||||
\(204\) | 2.14647 | + | 3.71780i | 0.150283 | + | 0.260298i | ||||
\(205\) | −16.8994 | − | 9.75689i | −1.18031 | − | 0.681451i | ||||
\(206\) | 0.479269 | − | 1.78866i | 0.0333922 | − | 0.124622i | ||||
\(207\) | −4.27272 | − | 7.40056i | −0.296974 | − | 0.514375i | ||||
\(208\) | 3.46720 | − | 13.7553i | 0.240407 | − | 0.953760i | ||||
\(209\) | 12.3149i | 0.851839i | ||||||||
\(210\) | 0.0285385 | − | 0.00764688i | 0.00196935 | − | 0.000527685i | ||||
\(211\) | −10.2458 | + | 17.7462i | −0.705348 | + | 1.22170i | 0.261217 | + | 0.965280i | \(0.415876\pi\) |
−0.966566 | + | 0.256419i | \(0.917457\pi\) | |||||||
\(212\) | −1.87593 | − | 3.24920i | −0.128839 | − | 0.223156i | ||||
\(213\) | 6.14103 | + | 6.14103i | 0.420777 | + | 0.420777i | ||||
\(214\) | 0.322708 | + | 1.20436i | 0.0220599 | + | 0.0823286i | ||||
\(215\) | 16.3179 | − | 16.3179i | 1.11287 | − | 1.11287i | ||||
\(216\) | −1.66891 | + | 1.66891i | −0.113555 | + | 0.113555i | ||||
\(217\) | −0.396827 | − | 0.0974307i | −0.0269384 | − | 0.00661402i | ||||
\(218\) | 0.297976i | 0.0201815i | ||||||||
\(219\) | 0.867674 | + | 0.867674i | 0.0586319 | + | 0.0586319i | ||||
\(220\) | −6.23222 | + | 10.7945i | −0.420176 | + | 0.727766i | ||||
\(221\) | −4.04467 | − | 3.92605i | −0.272074 | − | 0.264095i | ||||
\(222\) | 0.00392193 | + | 0.00679297i | 0.000263222 | + | 0.000455915i | ||||
\(223\) | 0.997688 | − | 0.267330i | 0.0668102 | − | 0.0179017i | −0.225259 | − | 0.974299i | \(-0.572323\pi\) |
0.292069 | + | 0.956397i | \(0.405656\pi\) | |||||||
\(224\) | 0.0457586 | − | 0.0792562i | 0.00305737 | − | 0.00529553i | ||||
\(225\) | − | 3.01979i | − | 0.201320i | ||||||
\(226\) | 0.0695434 | + | 0.0186341i | 0.00462596 | + | 0.00123952i | ||||
\(227\) | 17.1999 | + | 4.60869i | 1.14160 | + | 0.305890i | 0.779592 | − | 0.626287i | \(-0.215426\pi\) |
0.362003 | + | 0.932177i | \(0.382093\pi\) | |||||||
\(228\) | 14.5203 | + | 3.89071i | 0.961632 | + | 0.257669i | ||||
\(229\) | −2.07203 | − | 7.73291i | −0.136923 | − | 0.511005i | −0.999983 | − | 0.00590222i | \(-0.998121\pi\) |
0.863059 | − | 0.505103i | \(-0.168545\pi\) | |||||||
\(230\) | 1.97252 | − | 1.13883i | 0.130064 | − | 0.0750924i | ||||
\(231\) | 0.197382 | + | 0.113959i | 0.0129868 | + | 0.00749794i | ||||
\(232\) | 1.73190 | − | 1.73190i | 0.113705 | − | 0.113705i | ||||
\(233\) | 13.7114i | 0.898266i | 0.893465 | + | 0.449133i | \(0.148267\pi\) | ||||
−0.893465 | + | 0.449133i | \(0.851733\pi\) | |||||||
\(234\) | 0.201127 | − | 0.360652i | 0.0131481 | − | 0.0235766i | ||||
\(235\) | 17.6476 | + | 30.5666i | 1.15121 | + | 1.99395i | ||||
\(236\) | −0.928380 | − | 3.46476i | −0.0604324 | − | 0.225537i | ||||
\(237\) | 4.15200 | + | 7.19147i | 0.269701 | + | 0.467136i | ||||
\(238\) | −0.00600523 | − | 0.0104014i | −0.000389262 | − | 0.000674221i | ||||
\(239\) | −0.783614 | + | 2.92449i | −0.0506878 | + | 0.189169i | −0.986628 | − | 0.162991i | \(-0.947886\pi\) |
0.935940 | + | 0.352160i | \(0.114553\pi\) | |||||||
\(240\) | 10.6991 | + | 10.6991i | 0.690624 | + | 0.690624i | ||||
\(241\) | 0.485418 | + | 1.81160i | 0.0312685 | + | 0.116696i | 0.979796 | − | 0.199999i | \(-0.0640937\pi\) |
−0.948528 | + | 0.316694i | \(0.897427\pi\) | |||||||
\(242\) | −0.600576 | + | 0.160924i | −0.0386065 | + | 0.0103446i | ||||
\(243\) | 9.27957 | − | 5.35756i | 0.595285 | − | 0.343688i | ||||
\(244\) | 19.6380 | 1.25720 | ||||||||
\(245\) | −18.8210 | + | 5.04306i | −1.20243 | + | 0.322189i | ||||
\(246\) | 1.01235 | 0.0645449 | ||||||||
\(247\) | −19.7360 | + | 0.293703i | −1.25577 | + | 0.0186879i | ||||
\(248\) | 0.648858 | + | 2.23260i | 0.0412025 | + | 0.141771i | ||||
\(249\) | −13.6885 | + | 13.6885i | −0.867475 | + | 0.867475i | ||||
\(250\) | −0.653173 | −0.0413103 | ||||||||
\(251\) | 2.81566 | − | 4.87687i | 0.177723 | − | 0.307825i | −0.763377 | − | 0.645953i | \(-0.776460\pi\) |
0.941100 | + | 0.338128i | \(0.109794\pi\) | |||||||
\(252\) | −0.112930 | + | 0.112930i | −0.00711391 | + | 0.00711391i | ||||
\(253\) | 16.9716 | + | 4.54753i | 1.06700 | + | 0.285901i | ||||
\(254\) | 0.0170826 | + | 0.0637530i | 0.00107185 | + | 0.00400022i | ||||
\(255\) | 5.80750 | − | 1.55612i | 0.363680 | − | 0.0974477i | ||||
\(256\) | 15.1305 | 0.945658 | ||||||||
\(257\) | −22.2461 | + | 12.8438i | −1.38768 | + | 0.801175i | −0.993053 | − | 0.117668i | \(-0.962458\pi\) |
−0.394623 | + | 0.918843i | \(0.629125\pi\) | |||||||
\(258\) | −0.309859 | + | 1.15641i | −0.0192910 | + | 0.0719949i | ||||
\(259\) | 0.00199163 | + | 0.00344960i | 0.000123754 | + | 0.000214348i | ||||
\(260\) | −17.4481 | − | 9.73040i | −1.08208 | − | 0.603454i | ||||
\(261\) | −5.55748 | + | 3.20861i | −0.343999 | + | 0.198608i | ||||
\(262\) | 0.0813615 | + | 0.303645i | 0.00502653 | + | 0.0187593i | ||||
\(263\) | 0.515053i | 0.0317595i | 0.999874 | + | 0.0158798i | \(0.00505490\pi\) | ||||
−0.999874 | + | 0.0158798i | \(0.994945\pi\) | |||||||
\(264\) | − | 1.29684i | − | 0.0798148i | ||||||
\(265\) | −5.07551 | + | 1.35998i | −0.311786 | + | 0.0835429i | ||||
\(266\) | −0.0406239 | − | 0.0108851i | −0.00249081 | − | 0.000667410i | ||||
\(267\) | −2.06229 | + | 0.552590i | −0.126210 | + | 0.0338179i | ||||
\(268\) | 5.44021 | − | 20.3031i | 0.332314 | − | 1.24021i | ||||
\(269\) | −18.6727 | + | 10.7807i | −1.13849 | + | 0.657309i | −0.946057 | − | 0.324000i | \(-0.894972\pi\) |
−0.192436 | + | 0.981309i | \(0.561639\pi\) | |||||||
\(270\) | 0.824106 | + | 1.42739i | 0.0501535 | + | 0.0868684i | ||||
\(271\) | 15.6750 | − | 15.6750i | 0.952191 | − | 0.952191i | −0.0467172 | − | 0.998908i | \(-0.514876\pi\) |
0.998908 | + | 0.0467172i | \(0.0148759\pi\) | |||||||
\(272\) | 3.07542 | − | 5.32678i | 0.186475 | − | 0.322983i | ||||
\(273\) | −0.177925 | + | 0.319046i | −0.0107685 | + | 0.0193095i | ||||
\(274\) | 1.47826 | − | 0.853476i | 0.0893052 | − | 0.0515604i | ||||
\(275\) | 4.39044 | + | 4.39044i | 0.264753 | + | 0.264753i | ||||
\(276\) | 10.7239 | − | 18.5743i | 0.645502 | − | 1.11804i | ||||
\(277\) | 30.3293 | 1.82231 | 0.911154 | − | 0.412065i | \(-0.135192\pi\) | ||||
0.911154 | + | 0.412065i | \(0.135192\pi\) | |||||||
\(278\) | −1.43168 | − | 1.43168i | −0.0858664 | − | 0.0858664i | ||||
\(279\) | −0.128143 | − | 6.09023i | −0.00767170 | − | 0.364612i | ||||
\(280\) | −0.0603655 | − | 0.0603655i | −0.00360753 | − | 0.00360753i | ||||
\(281\) | 2.93330 | + | 2.93330i | 0.174986 | + | 0.174986i | 0.789166 | − | 0.614180i | \(-0.210513\pi\) |
−0.614180 | + | 0.789166i | \(0.710513\pi\) | |||||||
\(282\) | −1.58575 | − | 0.915535i | −0.0944302 | − | 0.0545193i | ||||
\(283\) | 9.38211i | 0.557708i | 0.960333 | + | 0.278854i | \(0.0899546\pi\) | ||||
−0.960333 | + | 0.278854i | \(0.910045\pi\) | |||||||
\(284\) | 3.23850 | − | 12.0863i | 0.192170 | − | 0.717187i | ||||
\(285\) | 10.5267 | − | 18.2328i | 0.623549 | − | 1.08002i | ||||
\(286\) | 0.231931 | + | 0.816764i | 0.0137144 | + | 0.0482963i | ||||
\(287\) | 0.514089 | 0.0303457 | ||||||||
\(288\) | 1.31784 | + | 0.353115i | 0.0776547 | + | 0.0208075i | ||||
\(289\) | 7.27795 | + | 12.6058i | 0.428115 | + | 0.741517i | ||||
\(290\) | −0.855210 | − | 1.48127i | −0.0502196 | − | 0.0869830i | ||||
\(291\) | −16.6962 | + | 4.47374i | −0.978749 | + | 0.262255i | ||||
\(292\) | 0.457572 | − | 1.70768i | 0.0267774 | − | 0.0999344i | ||||
\(293\) | 28.2983 | − | 7.58251i | 1.65320 | − | 0.442975i | 0.692697 | − | 0.721229i | \(-0.256422\pi\) |
0.960507 | + | 0.278254i | \(0.0897558\pi\) | |||||||
\(294\) | 0.714778 | − | 0.714778i | 0.0416867 | − | 0.0416867i | ||||
\(295\) | −5.02365 | −0.292488 | ||||||||
\(296\) | 0.0113322 | − | 0.0196280i | 0.000658673 | − | 0.00114085i | ||||
\(297\) | −3.29078 | + | 12.2814i | −0.190951 | + | 0.712637i | ||||
\(298\) | 0.563505 | + | 0.325340i | 0.0326430 | + | 0.0188464i | ||||
\(299\) | −6.88319 | + | 27.3075i | −0.398065 | + | 1.57923i | ||||
\(300\) | 6.56380 | − | 3.78961i | 0.378961 | − | 0.218793i | ||||
\(301\) | −0.157352 | + | 0.587246i | −0.00906963 | + | 0.0338483i | ||||
\(302\) | − | 1.49288i | − | 0.0859054i | ||||||
\(303\) | −9.02060 | + | 15.6241i | −0.518220 | + | 0.897583i | ||||
\(304\) | −5.57453 | − | 20.8044i | −0.319721 | − | 1.19321i | ||||
\(305\) | 7.11843 | − | 26.5664i | 0.407600 | − | 1.52119i | ||||
\(306\) | 0.126608 | − | 0.126608i | 0.00723772 | − | 0.00723772i | ||||
\(307\) | −15.0537 | + | 4.03361i | −0.859157 | + | 0.230211i | −0.661393 | − | 0.750039i | \(-0.730035\pi\) |
−0.197764 | + | 0.980250i | \(0.563368\pi\) | |||||||
\(308\) | − | 0.328374i | − | 0.0187109i | ||||||
\(309\) | −24.4211 | −1.38927 | ||||||||
\(310\) | 1.62326 | − | 0.0341546i | 0.0921952 | − | 0.00193985i | ||||
\(311\) | 9.70458i | 0.550296i | 0.961402 | + | 0.275148i | \(0.0887269\pi\) | ||||
−0.961402 | + | 0.275148i | \(0.911273\pi\) | |||||||
\(312\) | 2.07833 | − | 0.0309288i | 0.117662 | − | 0.00175100i | ||||
\(313\) | −22.0060 | − | 12.7052i | −1.24385 | − | 0.718139i | −0.273977 | − | 0.961736i | \(-0.588339\pi\) |
−0.969876 | + | 0.243597i | \(0.921672\pi\) | |||||||
\(314\) | 0.803963 | − | 0.803963i | 0.0453703 | − | 0.0453703i | ||||
\(315\) | 0.111837 | + | 0.193707i | 0.00630128 | + | 0.0109141i | ||||
\(316\) | 5.98203 | − | 10.3612i | 0.336516 | − | 0.582862i | ||||
\(317\) | −0.661669 | − | 2.46938i | −0.0371631 | − | 0.138694i | 0.944852 | − | 0.327498i | \(-0.106206\pi\) |
−0.982015 | + | 0.188804i | \(0.939539\pi\) | |||||||
\(318\) | 0.192757 | − | 0.192757i | 0.0108093 | − | 0.0108093i | ||||
\(319\) | 3.41498 | − | 12.7449i | 0.191202 | − | 0.713577i | ||||
\(320\) | 5.57918 | − | 20.8218i | 0.311886 | − | 1.16397i | ||||
\(321\) | 14.2406 | − | 8.22179i | 0.794831 | − | 0.458896i | ||||
\(322\) | −0.0300024 | + | 0.0519658i | −0.00167197 | + | 0.00289594i | ||||
\(323\) | −8.26683 | − | 2.21509i | −0.459979 | − | 0.123251i | ||||
\(324\) | 7.78727 | + | 4.49598i | 0.432626 | + | 0.249777i | ||||
\(325\) | −6.93147 | + | 7.14089i | −0.384489 | + | 0.396105i | ||||
\(326\) | −1.41454 | −0.0783439 | ||||||||
\(327\) | 3.79583 | − | 1.01709i | 0.209910 | − | 0.0562453i | ||||
\(328\) | −1.46257 | − | 2.53324i | −0.0807567 | − | 0.139875i | ||||
\(329\) | −0.805275 | − | 0.464926i | −0.0443963 | − | 0.0256322i | ||||
\(330\) | −0.874772 | − | 0.234394i | −0.0481546 | − | 0.0129030i | ||||
\(331\) | −3.70770 | + | 13.8373i | −0.203793 | + | 0.760568i | 0.786020 | + | 0.618200i | \(0.212138\pi\) |
−0.989814 | + | 0.142367i | \(0.954529\pi\) | |||||||
\(332\) | 26.9406 | + | 7.21871i | 1.47856 | + | 0.396178i | ||||
\(333\) | −0.0419895 | + | 0.0419895i | −0.00230101 | + | 0.00230101i | ||||
\(334\) | 0.541718 | + | 0.312761i | 0.0296415 | + | 0.0171135i | ||||
\(335\) | −25.4941 | − | 14.7190i | −1.39289 | − | 0.804187i | ||||
\(336\) | −0.385037 | − | 0.103170i | −0.0210055 | − | 0.00562841i | ||||
\(337\) | −16.3476 | −0.890512 | −0.445256 | − | 0.895403i | \(-0.646887\pi\) | ||||
−0.445256 | + | 0.895403i | \(0.646887\pi\) | |||||||
\(338\) | −1.30343 | + | 0.391175i | −0.0708971 | + | 0.0212771i | ||||
\(339\) | − | 0.949499i | − | 0.0515697i | ||||||
\(340\) | −6.12522 | − | 6.12522i | −0.332187 | − | 0.332187i | ||||
\(341\) | 9.04080 | + | 8.66819i | 0.489587 | + | 0.469409i | ||||
\(342\) | − | 0.626982i | − | 0.0339033i | ||||||
\(343\) | 0.726235 | − | 0.726235i | 0.0392130 | − | 0.0392130i | ||||
\(344\) | 3.34139 | − | 0.895324i | 0.180156 | − | 0.0482726i | ||||
\(345\) | −21.2401 | − | 21.2401i | −1.14353 | − | 1.14353i | ||||
\(346\) | −0.342957 | + | 1.27993i | −0.0184375 | + | 0.0688096i | ||||
\(347\) | −4.62600 | − | 2.67082i | −0.248337 | − | 0.143377i | 0.370666 | − | 0.928766i | \(-0.379130\pi\) |
−0.619002 | + | 0.785389i | \(0.712463\pi\) | |||||||
\(348\) | −13.9484 | − | 8.05313i | −0.747714 | − | 0.431693i | ||||
\(349\) | −10.6617 | − | 10.6617i | −0.570707 | − | 0.570707i | 0.361619 | − | 0.932326i | \(-0.382224\pi\) |
−0.932326 | + | 0.361619i | \(0.882224\pi\) | |||||||
\(350\) | −0.0183637 | + | 0.0106023i | −0.000981581 | + | 0.000566716i | ||||
\(351\) | −19.7608 | − | 4.98095i | −1.05475 | − | 0.265864i | ||||
\(352\) | −2.42938 | + | 1.40261i | −0.129487 | + | 0.0747591i | ||||
\(353\) | 32.0152 | − | 8.57845i | 1.70400 | − | 0.456585i | 0.730057 | − | 0.683386i | \(-0.239493\pi\) |
0.973941 | + | 0.226801i | \(0.0728268\pi\) | |||||||
\(354\) | 0.225704 | − | 0.130310i | 0.0119960 | − | 0.00692590i | ||||
\(355\) | −15.1764 | − | 8.76210i | −0.805480 | − | 0.465044i | ||||
\(356\) | 2.17512 | + | 2.17512i | 0.115281 | + | 0.115281i | ||||
\(357\) | −0.112002 | + | 0.112002i | −0.00592780 | + | 0.00592780i | ||||
\(358\) | 0.487964 | + | 1.82111i | 0.0257897 | + | 0.0962485i | ||||
\(359\) | −2.39109 | + | 8.92367i | −0.126197 | + | 0.470973i | −0.999880 | − | 0.0155230i | \(-0.995059\pi\) |
0.873683 | + | 0.486496i | \(0.161725\pi\) | |||||||
\(360\) | 0.636344 | − | 1.10218i | 0.0335383 | − | 0.0580900i | ||||
\(361\) | −9.49947 | + | 5.48452i | −0.499972 | + | 0.288659i | ||||
\(362\) | 1.56312 | + | 0.418836i | 0.0821556 | + | 0.0220135i | ||||
\(363\) | 4.09993 | + | 7.10129i | 0.215191 | + | 0.372721i | ||||
\(364\) | 0.526258 | − | 0.00783155i | 0.0275834 | − | 0.000410485i | ||||
\(365\) | −2.14429 | − | 1.23801i | −0.112237 | − | 0.0648003i | ||||
\(366\) | 0.369294 | + | 1.37823i | 0.0193033 | + | 0.0720410i | ||||
\(367\) | −14.3380 | + | 8.27805i | −0.748438 | + | 0.432111i | −0.825129 | − | 0.564944i | \(-0.808898\pi\) |
0.0766915 | + | 0.997055i | \(0.475564\pi\) | |||||||
\(368\) | −30.7299 | −1.60191 | ||||||||
\(369\) | 1.98359 | + | 7.40286i | 0.103262 | + | 0.385378i | ||||
\(370\) | −0.0111917 | − | 0.0111917i | −0.000581829 | − | 0.000581829i | ||||
\(371\) | 0.0978854 | − | 0.0978854i | 0.00508196 | − | 0.00508196i | ||||
\(372\) | 13.0769 | − | 7.92131i | 0.678004 | − | 0.410701i | ||||
\(373\) | 14.3797 | 0.744555 | 0.372277 | − | 0.928122i | \(-0.378577\pi\) | ||||
0.372277 | + | 0.928122i | \(0.378577\pi\) | |||||||
\(374\) | 0.368149i | 0.0190365i | ||||||||
\(375\) | 2.22950 | + | 8.32060i | 0.115131 | + | 0.429674i | ||||
\(376\) | 5.29080i | 0.272852i | ||||||||
\(377\) | 20.5066 | + | 5.16895i | 1.05614 | + | 0.266214i | ||||
\(378\) | −0.0376046 | − | 0.0217110i | −0.00193417 | − | 0.00111669i | ||||
\(379\) | 1.50350 | + | 5.61113i | 0.0772295 | + | 0.288224i | 0.993730 | − | 0.111810i | \(-0.0356648\pi\) |
−0.916500 | + | 0.400034i | \(0.868998\pi\) | |||||||
\(380\) | −30.3330 | −1.55605 | ||||||||
\(381\) | 0.753823 | − | 0.435220i | 0.0386195 | − | 0.0222970i | ||||
\(382\) | −2.22898 | − | 0.597253i | −0.114044 | − | 0.0305581i | ||||
\(383\) | 2.84790 | − | 10.6285i | 0.145521 | − | 0.543091i | −0.854211 | − | 0.519927i | \(-0.825959\pi\) |
0.999732 | − | 0.0231643i | \(-0.00737407\pi\) | |||||||
\(384\) | 1.18059 | + | 4.40602i | 0.0602467 | + | 0.224844i | ||||
\(385\) | −0.444226 | − | 0.119030i | −0.0226398 | − | 0.00606632i | ||||
\(386\) | 0.145179 | − | 0.251457i | 0.00738941 | − | 0.0127988i | ||||
\(387\) | −9.06346 | −0.460722 | ||||||||
\(388\) | 17.6097 | + | 17.6097i | 0.893995 | + | 0.893995i | ||||
\(389\) | 3.22126 | − | 5.57939i | 0.163325 | − | 0.282887i | −0.772734 | − | 0.634729i | \(-0.781112\pi\) |
0.936059 | + | 0.351843i | \(0.114445\pi\) | |||||||
\(390\) | 0.354781 | − | 1.40751i | 0.0179651 | − | 0.0712722i | ||||
\(391\) | −6.10540 | + | 10.5749i | −0.308763 | + | 0.534794i | ||||
\(392\) | −2.82128 | − | 0.755960i | −0.142496 | − | 0.0381817i | ||||
\(393\) | 3.59034 | − | 2.07289i | 0.181109 | − | 0.104563i | ||||
\(394\) | 0.275794 | + | 0.477690i | 0.0138943 | + | 0.0240657i | ||||
\(395\) | −11.8482 | − | 11.8482i | −0.596150 | − | 0.596150i | ||||
\(396\) | 4.72858 | − | 1.26702i | 0.237620 | − | 0.0636701i | ||||
\(397\) | −29.2245 | + | 7.83067i | −1.46673 | + | 0.393010i | −0.901810 | − | 0.432133i | \(-0.857761\pi\) |
−0.564924 | + | 0.825143i | \(0.691094\pi\) | |||||||
\(398\) | −0.0459975 | − | 0.0123250i | −0.00230564 | − | 0.000617795i | ||||
\(399\) | 0.554651i | 0.0277673i | ||||||||
\(400\) | −9.40447 | − | 5.42967i | −0.470224 | − | 0.271484i | ||||
\(401\) | 7.14528 | − | 7.14528i | 0.356818 | − | 0.356818i | −0.505820 | − | 0.862639i | \(-0.668810\pi\) |
0.862639 | + | 0.505820i | \(0.168810\pi\) | |||||||
\(402\) | 1.52721 | 0.0761702 | ||||||||
\(403\) | −13.6762 | + | 14.6957i | −0.681258 | + | 0.732043i | ||||
\(404\) | 25.9930 | 1.29320 | ||||||||
\(405\) | 8.90492 | − | 8.90492i | 0.442489 | − | 0.442489i | ||||
\(406\) | 0.0390238 | + | 0.0225304i | 0.00193672 | + | 0.00111817i | ||||
\(407\) | − | 0.122096i | − | 0.00605207i | ||||||
\(408\) | 0.870550 | + | 0.233263i | 0.0430986 | + | 0.0115482i | ||||
\(409\) | 7.60189 | − | 2.03692i | 0.375889 | − | 0.100719i | −0.0659278 | − | 0.997824i | \(-0.521001\pi\) |
0.441817 | + | 0.897105i | \(0.354334\pi\) | |||||||
\(410\) | −1.97313 | + | 0.528698i | −0.0974458 | + | 0.0261105i | ||||
\(411\) | −15.9180 | − | 15.9180i | −0.785178 | − | 0.785178i | ||||
\(412\) | 17.5925 | + | 30.4710i | 0.866719 | + | 1.50120i | ||||
\(413\) | 0.114617 | − | 0.0661739i | 0.00563991 | − | 0.00325620i | ||||
\(414\) | −0.864068 | − | 0.231526i | −0.0424666 | − | 0.0113789i | ||||
\(415\) | 19.5310 | − | 33.8286i | 0.958737 | − | 1.66058i | ||||
\(416\) | −2.30578 | − | 3.85992i | −0.113050 | − | 0.189248i | ||||
\(417\) | −13.3510 | + | 23.1246i | −0.653800 | + | 1.13241i | ||||
\(418\) | 0.911561 | + | 0.911561i | 0.0445859 | + | 0.0445859i | ||||
\(419\) | 2.54743 | 0.124450 | 0.0622252 | − | 0.998062i | \(-0.480180\pi\) | ||||
0.0622252 | + | 0.998062i | \(0.480180\pi\) | |||||||
\(420\) | −0.280693 | + | 0.486175i | −0.0136964 | + | 0.0237229i | ||||
\(421\) | −25.3642 | − | 6.79631i | −1.23617 | − | 0.331232i | −0.419194 | − | 0.907897i | \(-0.637687\pi\) |
−0.816981 | + | 0.576665i | \(0.804354\pi\) | |||||||
\(422\) | 0.555189 | + | 2.07199i | 0.0270262 | + | 0.100863i | ||||
\(423\) | 3.58779 | − | 13.3898i | 0.174445 | − | 0.651036i | ||||
\(424\) | −0.760824 | − | 0.203862i | −0.0369489 | − | 0.00990043i | ||||
\(425\) | −3.73696 | + | 2.15753i | −0.181269 | + | 0.104656i | ||||
\(426\) | 0.909131 | 0.0440475 | ||||||||
\(427\) | 0.187535 | + | 0.699888i | 0.00907543 | + | 0.0338700i | ||||
\(428\) | −20.5172 | − | 11.8456i | −0.991737 | − | 0.572580i | ||||
\(429\) | 9.61288 | − | 5.74239i | 0.464114 | − | 0.277245i | ||||
\(430\) | − | 2.41574i | − | 0.116497i | ||||||
\(431\) | −7.71347 | − | 28.7871i | −0.371545 | − | 1.38662i | −0.858328 | − | 0.513102i | \(-0.828496\pi\) |
0.486783 | − | 0.873523i | \(-0.338170\pi\) | |||||||
\(432\) | − | 22.2374i | − | 1.06990i | ||||||
\(433\) | 0.397520 | 0.0191036 | 0.00955180 | − | 0.999954i | \(-0.496960\pi\) | ||||
0.00955180 | + | 0.999954i | \(0.496960\pi\) | |||||||
\(434\) | −0.0365855 | + | 0.0221616i | −0.00175616 | + | 0.00106379i | ||||
\(435\) | −15.9503 | + | 15.9503i | −0.764760 | + | 0.764760i | ||||
\(436\) | −4.00350 | − | 4.00350i | −0.191733 | − | 0.191733i | ||||
\(437\) | 11.0667 | + | 41.3015i | 0.529392 | + | 1.97572i | ||||
\(438\) | 0.128452 | 0.00613768 | ||||||||
\(439\) | 30.7626 | − | 17.7608i | 1.46822 | − | 0.847678i | 0.468854 | − | 0.883276i | \(-0.344667\pi\) |
0.999366 | + | 0.0355980i | \(0.0113336\pi\) | |||||||
\(440\) | 0.677273 | + | 2.52762i | 0.0322877 | + | 0.120499i | ||||
\(441\) | 6.62740 | + | 3.82633i | 0.315590 | + | 0.182206i | ||||
\(442\) | −0.590001 | + | 0.00878014i | −0.0280635 | + | 0.000417629i | ||||
\(443\) | −1.68511 | − | 2.91870i | −0.0800620 | − | 0.138671i | 0.823214 | − | 0.567731i | \(-0.192178\pi\) |
−0.903276 | + | 0.429059i | \(0.858845\pi\) | |||||||
\(444\) | −0.143962 | − | 0.0385744i | −0.00683212 | − | 0.00183066i | ||||
\(445\) | 3.73095 | − | 2.15406i | 0.176864 | − | 0.102112i | ||||
\(446\) | 0.0540619 | − | 0.0936379i | 0.00255990 | − | 0.00443389i | ||||
\(447\) | 2.22099 | − | 8.28884i | 0.105049 | − | 0.392049i | ||||
\(448\) | 0.146983 | + | 0.548548i | 0.00694430 | + | 0.0259165i | ||||
\(449\) | 16.4205 | − | 16.4205i | 0.774930 | − | 0.774930i | −0.204034 | − | 0.978964i | \(-0.565405\pi\) |
0.978964 | + | 0.204034i | \(0.0654053\pi\) | |||||||
\(450\) | −0.223528 | − | 0.223528i | −0.0105372 | − | 0.0105372i | ||||
\(451\) | −13.6468 | − | 7.87900i | −0.642604 | − | 0.371008i | ||||
\(452\) | −1.18472 | + | 0.684000i | −0.0557246 | + | 0.0321726i | ||||
\(453\) | −19.0173 | + | 5.09568i | −0.893513 | + | 0.239416i | ||||
\(454\) | 1.61429 | − | 0.932012i | 0.0757625 | − | 0.0437415i | ||||
\(455\) | 0.180165 | − | 0.714761i | 0.00844624 | − | 0.0335085i | ||||
\(456\) | 2.73312 | − | 1.57797i | 0.127990 | − | 0.0738950i | ||||
\(457\) | −25.6173 | − | 25.6173i | −1.19833 | − | 1.19833i | −0.974668 | − | 0.223658i | \(-0.928200\pi\) |
−0.223658 | − | 0.974668i | \(-0.571800\pi\) | |||||||
\(458\) | −0.725771 | − | 0.419024i | −0.0339131 | − | 0.0195797i | ||||
\(459\) | −7.65241 | − | 4.41812i | −0.357184 | − | 0.206220i | ||||
\(460\) | −11.2011 | + | 41.8030i | −0.522253 | + | 1.94908i | ||||
\(461\) | −25.0801 | − | 25.0801i | −1.16809 | − | 1.16809i | −0.982656 | − | 0.185439i | \(-0.940629\pi\) |
−0.185439 | − | 0.982656i | \(-0.559371\pi\) | |||||||
\(462\) | 0.0230458 | − | 0.00617510i | 0.00107219 | − | 0.000287292i | ||||
\(463\) | −5.50498 | + | 5.50498i | −0.255838 | + | 0.255838i | −0.823359 | − | 0.567521i | \(-0.807903\pi\) |
0.567521 | + | 0.823359i | \(0.307903\pi\) | |||||||
\(464\) | 23.0767i | 1.07131i | ||||||||
\(465\) | −5.97583 | − | 20.5617i | −0.277122 | − | 0.953528i | ||||
\(466\) | 1.01493 | + | 1.01493i | 0.0470159 | + | 0.0470159i | ||||
\(467\) | 16.8310i | 0.778847i | 0.921059 | + | 0.389424i | \(0.127326\pi\) | ||||
−0.921059 | + | 0.389424i | \(0.872674\pi\) | |||||||
\(468\) | 2.14332 | + | 7.54788i | 0.0990749 | + | 0.348901i | ||||
\(469\) | 0.775544 | 0.0358113 | ||||||||
\(470\) | 3.56887 | + | 0.956276i | 0.164620 | + | 0.0441097i | ||||
\(471\) | −12.9857 | − | 7.49728i | −0.598348 | − | 0.345456i | ||||
\(472\) | −0.652161 | − | 0.376525i | −0.0300181 | − | 0.0173310i | ||||
\(473\) | 13.1772 | − | 13.1772i | 0.605890 | − | 0.605890i | ||||
\(474\) | 0.839656 | + | 0.224985i | 0.0385667 | + | 0.0103339i | ||||
\(475\) | −3.91076 | + | 14.5952i | −0.179438 | + | 0.669672i | ||||
\(476\) | 0.220433 | + | 0.0590650i | 0.0101036 | + | 0.00270724i | ||||
\(477\) | 1.78723 | + | 1.03186i | 0.0818318 | + | 0.0472456i | ||||
\(478\) | 0.158470 | + | 0.274477i | 0.00724823 | + | 0.0125543i | ||||
\(479\) | 30.4161 | − | 8.14996i | 1.38975 | − | 0.372381i | 0.515094 | − | 0.857134i | \(-0.327757\pi\) |
0.874651 | + | 0.484753i | \(0.161090\pi\) | |||||||
\(480\) | 4.79577 | 0.218896 | ||||||||
\(481\) | 0.195673 | − | 0.00291192i | 0.00892191 | − | 0.000132772i | ||||
\(482\) | 0.170028 | + | 0.0981657i | 0.00774456 | + | 0.00447132i | ||||
\(483\) | 0.764386 | + | 0.204817i | 0.0347808 | + | 0.00931948i | ||||
\(484\) | 5.90701 | − | 10.2312i | 0.268501 | − | 0.465057i | ||||
\(485\) | 30.2056 | − | 17.4392i | 1.37156 | − | 0.791873i | ||||
\(486\) | 0.290311 | − | 1.08346i | 0.0131688 | − | 0.0491465i | ||||
\(487\) | −8.06270 | + | 30.0904i | −0.365356 | + | 1.36353i | 0.501582 | + | 0.865110i | \(0.332751\pi\) |
−0.866938 | + | 0.498416i | \(0.833915\pi\) | |||||||
\(488\) | 2.91526 | − | 2.91526i | 0.131968 | − | 0.131968i | ||||
\(489\) | 4.82828 | + | 18.0194i | 0.218343 | + | 0.814865i | ||||
\(490\) | −1.01985 | + | 1.76644i | −0.0460723 | + | 0.0797996i | ||||
\(491\) | 9.04024 | + | 15.6582i | 0.407980 | + | 0.706643i | 0.994663 | − | 0.103174i | \(-0.0328999\pi\) |
−0.586683 | + | 0.809817i | \(0.699567\pi\) | |||||||
\(492\) | −13.6015 | + | 13.6015i | −0.613205 | + | 0.613205i | ||||
\(493\) | 7.94123 | + | 4.58487i | 0.357655 | + | 0.206492i | ||||
\(494\) | −1.43914 | + | 1.48262i | −0.0647500 | + | 0.0667063i | ||||
\(495\) | − | 6.85610i | − | 0.308159i | ||||||
\(496\) | −19.1971 | − | 10.5513i | −0.861973 | − | 0.473769i | ||||
\(497\) | 0.461674 | 0.0207089 | ||||||||
\(498\) | 2.02648i | 0.0908086i | ||||||||
\(499\) | 25.2773 | − | 6.77303i | 1.13157 | − | 0.303203i | 0.356012 | − | 0.934481i | \(-0.384136\pi\) |
0.775556 | + | 0.631279i | \(0.217470\pi\) | |||||||
\(500\) | 8.77581 | − | 8.77581i | 0.392466 | − | 0.392466i | ||||
\(501\) | 2.13511 | − | 7.96835i | 0.0953899 | − | 0.356000i | ||||
\(502\) | −0.152573 | − | 0.569409i | −0.00680965 | − | 0.0254140i | ||||
\(503\) | −10.0306 | + | 17.3735i | −0.447242 | + | 0.774647i | −0.998205 | − | 0.0598831i | \(-0.980927\pi\) |
0.550963 | + | 0.834530i | \(0.314261\pi\) | |||||||
\(504\) | 0.0335288i | 0.00149349i | ||||||||
\(505\) | 9.42201 | − | 35.1634i | 0.419274 | − | 1.56475i | ||||
\(506\) | 1.59287 | − | 0.919644i | 0.0708117 | − | 0.0408832i | ||||
\(507\) | 9.43210 | + | 15.2688i | 0.418894 | + | 0.678111i | ||||
\(508\) | −1.08608 | − | 0.627048i | −0.0481869 | − | 0.0278207i | ||||
\(509\) | −8.61339 | + | 32.1456i | −0.381782 | + | 1.42483i | 0.461396 | + | 0.887194i | \(0.347349\pi\) |
−0.843178 | + | 0.537635i | \(0.819318\pi\) | |||||||
\(510\) | 0.314692 | − | 0.545062i | 0.0139348 | − | 0.0241358i | ||||
\(511\) | 0.0652304 | 0.00288562 | ||||||||
\(512\) | 5.79264 | − | 5.79264i | 0.256001 | − | 0.256001i | ||||
\(513\) | −29.8875 | + | 8.00832i | −1.31956 | + | 0.353576i | ||||
\(514\) | −0.695970 | + | 2.59739i | −0.0306979 | + | 0.114566i | ||||
\(515\) | 47.5982 | − | 12.7539i | 2.09743 | − | 0.562004i | ||||
\(516\) | −11.3740 | − | 19.7003i | −0.500711 | − | 0.867256i | ||||
\(517\) | 14.2510 | + | 24.6835i | 0.626760 | + | 1.08558i | ||||
\(518\) | 0.000402765 | 0 | 0.000107921i | 1.76965e−5 | 0 | 4.74176e-6i | ||||
\(519\) | 17.4753 | 0.767082 | ||||||||
\(520\) | −4.03464 | + | 1.14569i | −0.176931 | + | 0.0502418i | ||||
\(521\) | 10.7797 | − | 18.6710i | 0.472267 | − | 0.817991i | −0.527229 | − | 0.849723i | \(-0.676769\pi\) |
0.999496 | + | 0.0317324i | \(0.0101024\pi\) | |||||||
\(522\) | −0.173865 | + | 0.648875i | −0.00760988 | + | 0.0284005i | ||||
\(523\) | 4.36762i | 0.190982i | 0.995430 | + | 0.0954912i | \(0.0304422\pi\) | ||||
−0.995430 | + | 0.0954912i | \(0.969558\pi\) | |||||||
\(524\) | −5.17282 | − | 2.98653i | −0.225976 | − | 0.130467i | ||||
\(525\) | 0.197741 | + | 0.197741i | 0.00863013 | + | 0.00863013i | ||||
\(526\) | 0.0381248 | + | 0.0381248i | 0.00166232 | + | 0.00166232i | ||||
\(527\) | −7.44502 | + | 4.50982i | −0.324310 | + | 0.196451i | ||||
\(528\) | 8.63987 | + | 8.63987i | 0.376002 | + | 0.376002i | ||||
\(529\) | 38.0058 | 1.65243 | ||||||||
\(530\) | −0.275028 | + | 0.476362i | −0.0119464 | + | 0.0206918i | ||||
\(531\) | 1.39514 | + | 1.39514i | 0.0605441 | + | 0.0605441i | ||||
\(532\) | 0.692057 | − | 0.399559i | 0.0300045 | − | 0.0173231i | ||||
\(533\) | 12.3015 | − | 22.0585i | 0.532839 | − | 0.955461i | ||||
\(534\) | −0.111750 | + | 0.193556i | −0.00483589 | + | 0.00837600i | ||||
\(535\) | −23.4619 | + | 23.4619i | −1.01435 | + | 1.01435i | ||||
\(536\) | −2.20640 | − | 3.82159i | −0.0953019 | − | 0.165068i | ||||
\(537\) | 21.5330 | − | 12.4321i | 0.929218 | − | 0.536484i | ||||
\(538\) | −0.584174 | + | 2.18017i | −0.0251855 | + | 0.0939937i | ||||
\(539\) | −15.1985 | + | 4.07244i | −0.654647 | + | 0.175412i | ||||
\(540\) | −30.2504 | − | 8.10556i | −1.30177 | − | 0.348808i | ||||
\(541\) | −2.78903 | + | 0.747317i | −0.119910 | + | 0.0321297i | −0.318275 | − | 0.947998i | \(-0.603103\pi\) |
0.198365 | + | 0.980128i | \(0.436437\pi\) | |||||||
\(542\) | − | 2.32057i | − | 0.0996768i | ||||||
\(543\) | − | 21.3417i | − | 0.915862i | ||||||
\(544\) | −0.504576 | − | 1.88310i | −0.0216335 | − | 0.0807373i | ||||
\(545\) | −6.86714 | + | 3.96475i | −0.294156 | + | 0.169831i | ||||
\(546\) | 0.0104459 | + | 0.0367863i | 0.000447045 | + | 0.00157431i | ||||
\(547\) | 4.44012 | + | 7.69051i | 0.189846 | + | 0.328822i | 0.945199 | − | 0.326496i | \(-0.105868\pi\) |
−0.755353 | + | 0.655318i | \(0.772535\pi\) | |||||||
\(548\) | −8.39444 | + | 31.3285i | −0.358593 | + | 1.33829i | ||||
\(549\) | −9.35477 | + | 5.40098i | −0.399252 | + | 0.230508i | ||||
\(550\) | 0.649969 | 0.0277148 | ||||||||
\(551\) | 31.0155 | − | 8.31057i | 1.32130 | − | 0.354042i | ||||
\(552\) | −1.16539 | − | 4.34931i | −0.0496025 | − | 0.185119i | ||||
\(553\) | 0.426393 | + | 0.114252i | 0.0181321 | + | 0.00485847i | ||||
\(554\) | 2.24500 | − | 2.24500i | 0.0953810 | − | 0.0953810i | ||||
\(555\) | −0.104367 | + | 0.180769i | −0.00443014 | + | 0.00767322i | ||||
\(556\) | 38.4711 | 1.63154 | ||||||||
\(557\) | −13.4959 | + | 13.4959i | −0.571839 | + | 0.571839i | −0.932642 | − | 0.360803i | \(-0.882503\pi\) |
0.360803 | + | 0.932642i | \(0.382503\pi\) | |||||||
\(558\) | −0.460290 | − | 0.441320i | −0.0194856 | − | 0.0186825i | ||||
\(559\) | 21.4323 | + | 20.8038i | 0.906491 | + | 0.879906i | ||||
\(560\) | 0.804342 | 0.0339896 | ||||||||
\(561\) | 4.68975 | − | 1.25661i | 0.198001 | − | 0.0530543i | ||||
\(562\) | 0.434251 | 0.0183178 | ||||||||
\(563\) | 11.3522 | − | 6.55420i | 0.478439 | − | 0.276227i | −0.241327 | − | 0.970444i | \(-0.577583\pi\) |
0.719766 | + | 0.694217i | \(0.244249\pi\) | |||||||
\(564\) | 33.6065 | − | 9.00482i | 1.41509 | − | 0.379171i | ||||
\(565\) | 0.495875 | + | 1.85063i | 0.0208616 | + | 0.0778567i | ||||
\(566\) | 0.694473 | + | 0.694473i | 0.0291909 | + | 0.0291909i | ||||
\(567\) | −0.0858693 | + | 0.320469i | −0.00360617 | + | 0.0134584i | ||||
\(568\) | −1.31345 | − | 2.27496i | −0.0551110 | − | 0.0954551i | ||||
\(569\) | 4.27750 | + | 7.40885i | 0.179322 | + | 0.310595i | 0.941649 | − | 0.336598i | \(-0.109276\pi\) |
−0.762326 | + | 0.647193i | \(0.775943\pi\) | |||||||
\(570\) | −0.570413 | − | 2.12881i | −0.0238920 | − | 0.0891661i | ||||
\(571\) | −10.7297 | − | 18.5843i | −0.449023 | − | 0.777730i | 0.549300 | − | 0.835625i | \(-0.314894\pi\) |
−0.998323 | + | 0.0578953i | \(0.981561\pi\) | |||||||
\(572\) | −14.0899 | − | 7.85762i | −0.589128 | − | 0.328543i | ||||
\(573\) | 30.4330i | 1.27136i | ||||||||
\(574\) | 0.0380534 | − | 0.0380534i | 0.00158832 | − | 0.00158832i | ||||
\(575\) | 18.6700 | + | 10.7791i | 0.778593 | + | 0.449521i | ||||
\(576\) | −7.33195 | + | 4.23310i | −0.305498 | + | 0.176379i | ||||
\(577\) | 1.25849 | + | 4.69676i | 0.0523917 | + | 0.195529i | 0.987161 | − | 0.159726i | \(-0.0510609\pi\) |
−0.934770 | + | 0.355254i | \(0.884394\pi\) | |||||||
\(578\) | 1.47181 | + | 0.394372i | 0.0612194 | + | 0.0164037i | ||||
\(579\) | −3.69879 | − | 0.991087i | −0.153716 | − | 0.0411882i | ||||
\(580\) | 31.3921 | + | 8.41148i | 1.30349 | + | 0.349268i | ||||
\(581\) | 1.02908i | 0.0426936i | ||||||||
\(582\) | −0.904720 | + | 1.56702i | −0.0375019 | + | 0.0649551i | ||||
\(583\) | −4.09864 | + | 1.09823i | −0.169748 | + | 0.0454840i | ||||
\(584\) | −0.185578 | − | 0.321431i | −0.00767929 | − | 0.0133009i | ||||
\(585\) | 10.9877 | − | 0.163514i | 0.454285 | − | 0.00676048i | ||||
\(586\) | 1.53340 | − | 2.65593i | 0.0633443 | − | 0.109716i | ||||
\(587\) | 8.77043 | + | 8.77043i | 0.361994 | + | 0.361994i | 0.864547 | − | 0.502552i | \(-0.167606\pi\) |
−0.502552 | + | 0.864547i | \(0.667606\pi\) | |||||||
\(588\) | 19.2070i | 0.792084i | ||||||||
\(589\) | −7.26777 | + | 29.6010i | −0.299463 | + | 1.21969i | ||||
\(590\) | −0.371856 | + | 0.371856i | −0.0153091 | + | 0.0153091i | ||||
\(591\) | 5.14379 | − | 5.14379i | 0.211587 | − | 0.211587i | ||||
\(592\) | 0.0552686 | + | 0.206265i | 0.00227152 | + | 0.00847744i | ||||
\(593\) | −27.1573 | − | 27.1573i | −1.11522 | − | 1.11522i | −0.992433 | − | 0.122785i | \(-0.960817\pi\) |
−0.122785 | − | 0.992433i | \(-0.539183\pi\) | |||||||
\(594\) | 0.665492 | + | 1.15267i | 0.0273055 | + | 0.0472945i | ||||
\(595\) | 0.159806 | − | 0.276793i | 0.00655142 | − | 0.0113474i | ||||
\(596\) | −11.9422 | + | 3.19991i | −0.489172 | + | 0.131073i | ||||
\(597\) | 0.628018i | 0.0257031i | ||||||||
\(598\) | 1.51183 | + | 2.53083i | 0.0618231 | + | 0.103493i | ||||
\(599\) | 21.2662 | + | 36.8342i | 0.868915 | + | 1.50500i | 0.863107 | + | 0.505021i | \(0.168515\pi\) |
0.00580785 | + | 0.999983i | \(0.498151\pi\) | |||||||
\(600\) | 0.411828 | − | 1.53696i | 0.0168128 | − | 0.0627462i | ||||
\(601\) | −30.9867 | − | 17.8902i | −1.26397 | − | 0.729756i | −0.290133 | − | 0.956986i | \(-0.593699\pi\) |
−0.973841 | + | 0.227231i | \(0.927033\pi\) | |||||||
\(602\) | 0.0318212 | + | 0.0551159i | 0.00129694 | + | 0.00224636i | ||||
\(603\) | 2.99240 | + | 11.1678i | 0.121860 | + | 0.454788i | ||||
\(604\) | 20.0578 | + | 20.0578i | 0.816139 | + | 0.816139i | ||||
\(605\) | −11.6997 | − | 11.6997i | −0.475659 | − | 0.475659i | ||||
\(606\) | 0.488800 | + | 1.82423i | 0.0198562 | + | 0.0741042i | ||||
\(607\) | −2.13933 | − | 3.70543i | −0.0868327 | − | 0.150399i | 0.819338 | − | 0.573311i | \(-0.194341\pi\) |
−0.906171 | + | 0.422912i | \(0.861008\pi\) | |||||||
\(608\) | −5.91205 | − | 3.41333i | −0.239765 | − | 0.138429i | ||||
\(609\) | 0.153808 | − | 0.574018i | 0.00623260 | − | 0.0232604i | ||||
\(610\) | −1.43956 | − | 2.49338i | −0.0582859 | − | 0.100954i | ||||
\(611\) | −39.2183 | + | 23.4276i | −1.58660 | + | 0.947781i | ||||
\(612\) | 3.40213i | 0.137523i | ||||||||
\(613\) | −5.93378 | + | 1.58995i | −0.239663 | + | 0.0642175i | −0.376651 | − | 0.926355i | \(-0.622924\pi\) |
0.136988 | + | 0.990573i | \(0.456258\pi\) | |||||||
\(614\) | −0.815714 | + | 1.41286i | −0.0329196 | + | 0.0570183i | ||||
\(615\) | 13.4699 | + | 23.3305i | 0.543158 | + | 0.940777i | ||||
\(616\) | −0.0487471 | − | 0.0487471i | −0.00196408 | − | 0.00196408i | ||||
\(617\) | 2.67037 | + | 9.96597i | 0.107505 | + | 0.401215i | 0.998617 | − | 0.0525684i | \(-0.0167408\pi\) |
−0.891112 | + | 0.453783i | \(0.850074\pi\) | |||||||
\(618\) | −1.80768 | + | 1.80768i | −0.0727154 | + | 0.0727154i | ||||
\(619\) | −31.1553 | + | 31.1553i | −1.25224 | + | 1.25224i | −0.297520 | + | 0.954715i | \(0.596160\pi\) |
−0.954715 | + | 0.297520i | \(0.903840\pi\) | |||||||
\(620\) | −21.3507 | + | 22.2685i | −0.857466 | + | 0.894325i | ||||
\(621\) | 44.1463i | 1.77153i | ||||||||
\(622\) | 0.718343 | + | 0.718343i | 0.0288029 | + | 0.0288029i | ||||
\(623\) | −0.0567486 | + | 0.0982915i | −0.00227359 | + | 0.00393797i | ||||
\(624\) | −13.6403 | + | 14.0524i | −0.546050 | + | 0.562548i | ||||
\(625\) | −15.5912 | − | 27.0047i | −0.623647 | − | 1.08019i | ||||
\(626\) | −2.56936 | + | 0.688457i | −0.102692 | + | 0.0275163i | ||||
\(627\) | 8.50067 | − | 14.7236i | 0.339484 | − | 0.588004i | ||||
\(628\) | 21.6035i | 0.862075i | ||||||||
\(629\) | 0.0819614 | + | 0.0219615i | 0.00326801 | + | 0.000875662i | ||||
\(630\) | 0.0226166 | + | 0.00606011i | 0.000901068 | + | 0.000241441i | ||||
\(631\) | 24.4391 | + | 6.54844i | 0.972905 | + | 0.260689i | 0.710054 | − | 0.704147i | \(-0.248670\pi\) |
0.262851 | + | 0.964836i | \(0.415337\pi\) | |||||||
\(632\) | −0.650084 | − | 2.42615i | −0.0258590 | − | 0.0965070i | ||||
\(633\) | 24.4995 | − | 14.1448i | 0.973769 | − | 0.562206i | ||||
\(634\) | −0.231764 | − | 0.133809i | −0.00920451 | − | 0.00531423i | ||||
\(635\) | −1.24196 | + | 1.24196i | −0.0492855 | + | 0.0492855i | ||||
\(636\) | 5.17962i | 0.205385i | ||||||||
\(637\) | −6.88903 | − | 24.2603i | −0.272953 | − | 0.961228i | ||||
\(638\) | −0.690610 | − | 1.19617i | −0.0273415 | − | 0.0473569i | ||||
\(639\) | 1.78135 | + | 6.64808i | 0.0704691 | + | 0.262994i | ||||
\(640\) | −4.60208 | − | 7.97104i | −0.181913 | − | 0.315083i | ||||
\(641\) | 7.72876 | + | 13.3866i | 0.305268 | + | 0.528739i | 0.977321 | − | 0.211764i | \(-0.0679207\pi\) |
−0.672053 | + | 0.740503i | \(0.734587\pi\) | |||||||
\(642\) | 0.445515 | − | 1.66269i | 0.0175831 | − | 0.0656210i | ||||
\(643\) | −27.7763 | − | 27.7763i | −1.09539 | − | 1.09539i | −0.994942 | − | 0.100446i | \(-0.967973\pi\) |
−0.100446 | − | 0.994942i | \(-0.532027\pi\) | |||||||
\(644\) | −0.295092 | − | 1.10130i | −0.0116282 | − | 0.0433972i | ||||
\(645\) | −30.7734 | + | 8.24571i | −1.21170 | + | 0.324675i | ||||
\(646\) | −0.775882 | + | 0.447956i | −0.0305267 | + | 0.0176246i | ||||
\(647\) | 26.3638 | 1.03647 | 0.518233 | − | 0.855239i | \(-0.326590\pi\) | ||||
0.518233 | + | 0.855239i | \(0.326590\pi\) | |||||||
\(648\) | 1.82345 | − | 0.488591i | 0.0716318 | − | 0.0191937i | ||||
\(649\) | −4.05676 | −0.159242 | ||||||||
\(650\) | 0.0155014 | + | 1.04165i | 0.000608015 | + | 0.0408569i | ||||
\(651\) | 0.407189 | + | 0.390407i | 0.0159590 | + | 0.0153013i | ||||
\(652\) | 19.0052 | − | 19.0052i | 0.744302 | − | 0.744302i | ||||
\(653\) | 1.04052 | 0.0407187 | 0.0203593 | − | 0.999793i | \(-0.493519\pi\) | ||||
0.0203593 | + | 0.999793i | \(0.493519\pi\) | |||||||
\(654\) | 0.205685 | − | 0.356258i | 0.00804294 | − | 0.0139308i | ||||
\(655\) | −5.91524 | + | 5.91524i | −0.231127 | + | 0.231127i | ||||
\(656\) | 26.6211 | + | 7.13310i | 1.03938 | + | 0.278501i | ||||
\(657\) | 0.251689 | + | 0.939315i | 0.00981932 | + | 0.0366462i | ||||
\(658\) | −0.0940216 | + | 0.0251930i | −0.00366534 | + | 0.000982126i | ||||
\(659\) | 6.41205 | 0.249778 | 0.124889 | − | 0.992171i | \(-0.460142\pi\) | ||||
0.124889 | + | 0.992171i | \(0.460142\pi\) | |||||||
\(660\) | 14.9024 | − | 8.60389i | 0.580074 | − | 0.334906i | ||||
\(661\) | 3.95603 | − | 14.7641i | 0.153872 | − | 0.574258i | −0.845327 | − | 0.534249i | \(-0.820595\pi\) |
0.999199 | − | 0.0400090i | \(-0.0127387\pi\) | |||||||
\(662\) | 0.749805 | + | 1.29870i | 0.0291420 | + | 0.0504754i | ||||
\(663\) | 2.12572 | + | 7.48589i | 0.0825560 | + | 0.290728i | ||||
\(664\) | 5.07094 | − | 2.92771i | 0.196791 | − | 0.113617i | ||||
\(665\) | −0.289666 | − | 1.08105i | −0.0112328 | − | 0.0419213i | ||||
\(666\) | 0.00621621i | 0.000240873i | ||||||||
\(667\) | − | 45.8125i | − | 1.77387i | ||||||
\(668\) | −11.4805 | + | 3.07619i | −0.444193 | + | 0.119021i | ||||
\(669\) | −1.37736 | − | 0.369062i | −0.0532518 | − | 0.0142688i | ||||
\(670\) | −2.97662 | + | 0.797583i | −0.114997 | + | 0.0308133i | ||||
\(671\) | 5.74837 | − | 21.4532i | 0.221913 | − | 0.828191i | ||||
\(672\) | −0.109417 | + | 0.0631720i | −0.00422086 | + | 0.00243691i | ||||
\(673\) | 4.75908 | + | 8.24296i | 0.183449 | + | 0.317743i | 0.943053 | − | 0.332643i | \(-0.107940\pi\) |
−0.759604 | + | 0.650386i | \(0.774607\pi\) | |||||||
\(674\) | −1.21007 | + | 1.21007i | −0.0466101 | + | 0.0466101i | ||||
\(675\) | −7.80023 | + | 13.5104i | −0.300231 | + | 0.520015i | ||||
\(676\) | 12.2567 | − | 22.7681i | 0.471412 | − | 0.875696i | ||||
\(677\) | −8.99547 | + | 5.19354i | −0.345724 | + | 0.199604i | −0.662800 | − | 0.748796i | \(-0.730632\pi\) |
0.317076 | + | 0.948400i | \(0.397299\pi\) | |||||||
\(678\) | −0.0702829 | − | 0.0702829i | −0.00269920 | − | 0.00269920i | ||||
\(679\) | −0.459434 | + | 0.795763i | −0.0176315 | + | 0.0305386i | ||||
\(680\) | −1.81858 | −0.0697393 | ||||||||
\(681\) | −17.3828 | − | 17.3828i | −0.666109 | − | 0.666109i | ||||
\(682\) | 1.31084 | − | 0.0275810i | 0.0501946 | − | 0.00105613i | ||||
\(683\) | 8.76225 | + | 8.76225i | 0.335278 | + | 0.335278i | 0.854587 | − | 0.519309i | \(-0.173810\pi\) |
−0.519309 | + | 0.854587i | \(0.673810\pi\) | |||||||
\(684\) | 8.42392 | + | 8.42392i | 0.322097 | + | 0.322097i | ||||
\(685\) | 39.3384 | + | 22.7120i | 1.50304 | + | 0.867782i | ||||
\(686\) | − | 0.107513i | − | 0.00410488i | ||||||
\(687\) | −2.86054 | + | 10.6757i | −0.109136 | + | 0.407302i | ||||
\(688\) | −16.2964 | + | 28.2261i | −0.621293 | + | 1.07611i | ||||
\(689\) | −1.85779 | − | 6.54236i | −0.0707761 | − | 0.249244i | ||||
\(690\) | −3.14443 | −0.119707 | ||||||||
\(691\) | 16.6079 | + | 4.45008i | 0.631795 | + | 0.169289i | 0.560484 | − | 0.828165i | \(-0.310615\pi\) |
0.0713107 | + | 0.997454i | \(0.477282\pi\) | |||||||
\(692\) | −12.5889 | − | 21.8046i | −0.478557 | − | 0.828886i | ||||
\(693\) | 0.0903117 | + | 0.156424i | 0.00343066 | + | 0.00594208i | ||||
\(694\) | −0.540118 | + | 0.144724i | −0.0205026 | + | 0.00549365i | ||||
\(695\) | 13.9451 | − | 52.0438i | 0.528967 | − | 1.97413i | ||||
\(696\) | −3.26613 | + | 0.875156i | −0.123802 | + | 0.0331727i | ||||
\(697\) | 7.74374 | − | 7.74374i | 0.293315 | − | 0.293315i | ||||
\(698\) | −1.57838 | −0.0597425 | ||||||||
\(699\) | 9.46467 | − | 16.3933i | 0.357987 | − | 0.620051i | ||||
\(700\) | 0.104280 | − | 0.389177i | 0.00394140 | − | 0.0147095i | ||||
\(701\) | −19.0812 | − | 11.0166i | −0.720688 | − | 0.416090i | 0.0943176 | − | 0.995542i | \(-0.469933\pi\) |
−0.815006 | + | 0.579452i | \(0.803266\pi\) | |||||||
\(702\) | −1.83141 | + | 1.09402i | −0.0691221 | + | 0.0412911i | ||||
\(703\) | 0.257320 | − | 0.148564i | 0.00970501 | − | 0.00560319i | ||||
\(704\) | 4.50537 | − | 16.8143i | 0.169803 | − | 0.633712i | ||||
\(705\) | − | 48.7270i | − | 1.83516i | ||||||
\(706\) | 1.73481 | − | 3.00478i | 0.0652906 | − | 0.113087i | ||||
\(707\) | 0.248222 | + | 0.926377i | 0.00933535 | + | 0.0348400i | ||||
\(708\) | −1.28168 | + | 4.78328i | −0.0481683 | + | 0.179767i | ||||
\(709\) | −16.2336 | + | 16.2336i | −0.609667 | + | 0.609667i | −0.942859 | − | 0.333192i | \(-0.891874\pi\) |
0.333192 | + | 0.942859i | \(0.391874\pi\) | |||||||
\(710\) | −1.77195 | + | 0.474793i | −0.0665002 | + | 0.0178187i | ||||
\(711\) | 6.58087i | 0.246802i | ||||||||
\(712\) | 0.645792 | 0.0242021 | ||||||||
\(713\) | 38.1105 | + | 20.9468i | 1.42725 | + | 0.784463i | ||||
\(714\) | 0.0165811i | 0.000620531i | ||||||||
\(715\) | −15.7371 | + | 16.2126i | −0.588535 | + | 0.606317i | ||||
\(716\) | −31.0239 | − | 17.9117i | −1.15942 | − | 0.669390i | ||||
\(717\) | 2.95558 | − | 2.95558i | 0.110378 | − | 0.110378i | ||||
\(718\) | 0.483548 | + | 0.837530i | 0.0180459 | + | 0.0312564i | ||||
\(719\) | −10.2716 | + | 17.7910i | −0.383068 | + | 0.663493i | −0.991499 | − | 0.130114i | \(-0.958466\pi\) |
0.608431 | + | 0.793607i | \(0.291799\pi\) | |||||||
\(720\) | 3.10352 | + | 11.5825i | 0.115661 | + | 0.431654i | ||||
\(721\) | −0.917971 | + | 0.917971i | −0.0341870 | + | 0.0341870i | ||||
\(722\) | −0.297191 | + | 1.10913i | −0.0110603 | + | 0.0412776i | ||||
\(723\) | 0.670144 | − | 2.50101i | 0.0249229 | − | 0.0930136i | ||||
\(724\) | −26.6288 | + | 15.3742i | −0.989652 | + | 0.571376i | ||||
\(725\) | 8.09462 | − | 14.0203i | 0.300627 | − | 0.520701i | ||||
\(726\) | 0.829126 | + | 0.222164i | 0.0307717 | + | 0.00824526i | ||||
\(727\) | −6.93691 | − | 4.00503i | −0.257276 | − | 0.148538i | 0.365815 | − | 0.930687i | \(-0.380790\pi\) |
−0.623091 | + | 0.782149i | \(0.714123\pi\) | |||||||
\(728\) | 0.0769603 | − | 0.0792855i | 0.00285234 | − | 0.00293852i | ||||
\(729\) | −28.3550 | −1.05019 | ||||||||
\(730\) | −0.250361 | + | 0.0670841i | −0.00926629 | + | 0.00248289i | ||||
\(731\) | 6.47551 | + | 11.2159i | 0.239505 | + | 0.414836i | ||||
\(732\) | −23.4791 | − | 13.5556i | −0.867811 | − | 0.501031i | ||||
\(733\) | −32.3064 | − | 8.65648i | −1.19327 | − | 0.319735i | −0.393090 | − | 0.919500i | \(-0.628594\pi\) |
−0.800176 | + | 0.599766i | \(0.795261\pi\) | |||||||
\(734\) | −0.448564 | + | 1.67406i | −0.0165568 | + | 0.0617908i | ||||
\(735\) | 25.9833 | + | 6.96220i | 0.958408 | + | 0.256805i | ||||
\(736\) | −6.88719 | + | 6.88719i | −0.253865 | + | 0.253865i | ||||
\(737\) | −20.5873 | − | 11.8861i | −0.758344 | − | 0.437830i | ||||
\(738\) | 0.694795 | + | 0.401140i | 0.0255757 | + | 0.0147662i | ||||
\(739\) | −8.15266 | − | 2.18450i | −0.299900 | − | 0.0803581i | 0.105731 | − | 0.994395i | \(-0.466282\pi\) |
−0.405632 | + | 0.914037i | \(0.632948\pi\) | |||||||
\(740\) | 0.300736 | 0.0110553 | ||||||||
\(741\) | 23.7990 | + | 13.2722i | 0.874278 | + | 0.487565i | ||||
\(742\) | − | 0.0144912i | − | 0.000531987i | ||||||
\(743\) | −17.6525 | − | 17.6525i | −0.647608 | − | 0.647608i | 0.304806 | − | 0.952414i | \(-0.401408\pi\) |
−0.952414 | + | 0.304806i | \(0.901408\pi\) | |||||||
\(744\) | 0.765342 | − | 3.11718i | 0.0280588 | − | 0.114281i | ||||
\(745\) | 17.3154i | 0.634386i | ||||||||
\(746\) | 1.06440 | − | 1.06440i | 0.0389706 | − | 0.0389706i | ||||
\(747\) | −14.8188 | + | 3.97067i | −0.542190 | + | 0.145279i | ||||
\(748\) | −4.94632 | − | 4.94632i | −0.180855 | − | 0.180855i | ||||
\(749\) | 0.226241 | − | 0.844343i | 0.00826667 | − | 0.0308516i | ||||
\(750\) | 0.780929 | + | 0.450870i | 0.0285155 | + | 0.0164634i | ||||
\(751\) | −0.856850 | − | 0.494703i | −0.0312669 | − | 0.0180520i | 0.484285 | − | 0.874910i | \(-0.339080\pi\) |
−0.515552 | + | 0.856858i | \(0.672413\pi\) | |||||||
\(752\) | −35.2487 | − | 35.2487i | −1.28539 | − | 1.28539i | ||||
\(753\) | −6.73277 | + | 3.88717i | −0.245356 | + | 0.141656i | ||||
\(754\) | 1.90053 | − | 1.13531i | 0.0692133 | − | 0.0413455i | ||||
\(755\) | 34.4048 | − | 19.8636i | 1.25212 | − | 0.722911i | ||||
\(756\) | 0.796943 | − | 0.213540i | 0.0289845 | − | 0.00776639i | ||||
\(757\) | −8.49539 | + | 4.90482i | −0.308770 | + | 0.178269i | −0.646376 | − | 0.763019i | \(-0.723716\pi\) |
0.337606 | + | 0.941288i | \(0.390383\pi\) | |||||||
\(758\) | 0.526632 | + | 0.304051i | 0.0191281 | + | 0.0110436i | ||||
\(759\) | −17.1521 | − | 17.1521i | −0.622582 | − | 0.622582i | ||||
\(760\) | −4.50292 | + | 4.50292i | −0.163338 | + | 0.163338i | ||||
\(761\) | 11.3085 | + | 42.2037i | 0.409931 | + | 1.52988i | 0.794776 | + | 0.606903i | \(0.207588\pi\) |
−0.384845 | + | 0.922981i | \(0.625745\pi\) | |||||||
\(762\) | 0.0235833 | − | 0.0880142i | 0.000854334 | − | 0.00318842i | ||||
\(763\) | 0.104451 | − | 0.180914i | 0.00378138 | − | 0.00654954i | ||||
\(764\) | 37.9723 | − | 21.9233i | 1.37379 | − | 0.793157i | ||||
\(765\) | 4.60241 | + | 1.23321i | 0.166401 | + | 0.0445869i | ||||
\(766\) | −0.575928 | − | 0.997537i | −0.0208091 | − | 0.0360425i | ||||
\(767\) | −0.0967516 | − | 6.50143i | −0.00349350 | − | 0.234753i | ||||
\(768\) | −18.0899 | − | 10.4442i | −0.652765 | − | 0.376874i | ||||
\(769\) | 0.328810 | + | 1.22713i | 0.0118572 | + | 0.0442516i | 0.971601 | − | 0.236625i | \(-0.0760414\pi\) |
−0.959744 | + | 0.280877i | \(0.909375\pi\) | |||||||
\(770\) | −0.0416927 | + | 0.0240713i | −0.00150250 | + | 0.000867470i | ||||
\(771\) | 35.4631 | 1.27717 | ||||||||
\(772\) | 1.42792 | + | 5.32906i | 0.0513919 | + | 0.191797i | ||||
\(773\) | 4.60675 | + | 4.60675i | 0.165693 | + | 0.165693i | 0.785083 | − | 0.619390i | \(-0.212620\pi\) |
−0.619390 | + | 0.785083i | \(0.712620\pi\) | |||||||
\(774\) | −0.670887 | + | 0.670887i | −0.0241145 | + | 0.0241145i | ||||
\(775\) | 7.96212 | + | 13.1443i | 0.286008 | + | 0.472155i | ||||
\(776\) | 5.22830 | 0.187685 | ||||||||
\(777\) | − | 0.00549908i | − | 0.000197279i | ||||||
\(778\) | −0.174551 | − | 0.651434i | −0.00625796 | − | 0.0233550i | ||||
\(779\) | − | 38.3481i | − | 1.37396i | ||||||
\(780\) | 14.1441 | + | 23.6776i | 0.506442 | + | 0.847793i | ||||
\(781\) | −12.2554 | − | 7.07568i | −0.438534 | − | 0.253188i | ||||
\(782\) | 0.330834 | + | 1.23469i | 0.0118306 | + | 0.0441524i | ||||
\(783\) | 33.1518 | 1.18475 | ||||||||
\(784\) | 23.8325 | − | 13.7597i | 0.851161 | − | 0.491418i | ||||
\(785\) | 29.2253 | + | 7.83090i | 1.04310 | + | 0.279497i | ||||
\(786\) | 0.112324 | − | 0.419198i | 0.00400646 | − | 0.0149523i | ||||
\(787\) | 2.51165 | + | 9.37360i | 0.0895306 | + | 0.334133i | 0.996134 | − | 0.0878520i | \(-0.0280002\pi\) |
−0.906603 | + | 0.421985i | \(0.861334\pi\) | |||||||
\(788\) | −10.1236 | − | 2.71260i | −0.360637 | − | 0.0966323i | ||||
\(789\) | 0.355528 | − | 0.615793i | 0.0126571 | − | 0.0219228i | ||||
\(790\) | −1.75404 | −0.0624059 | ||||||||
\(791\) | −0.0356909 | − | 0.0356909i | −0.00126902 | − | 0.00126902i | ||||
\(792\) | 0.513868 | − | 0.890046i | 0.0182595 | − | 0.0316264i | ||||
\(793\) | 34.5183 | + | 8.70077i | 1.22578 | + | 0.308974i | ||||
\(794\) | −1.58359 | + | 2.74286i | −0.0561995 | + | 0.0973404i | ||||
\(795\) | 7.00701 | + | 1.87752i | 0.248513 | + | 0.0665888i | ||||
\(796\) | 0.783600 | − | 0.452412i | 0.0277740 | − | 0.0160353i | ||||
\(797\) | −12.1691 | − | 21.0775i | −0.431051 | − | 0.746602i | 0.565913 | − | 0.824465i | \(-0.308524\pi\) |
−0.996964 | + | 0.0778631i | \(0.975190\pi\) | |||||||
\(798\) | 0.0410559 | + | 0.0410559i | 0.00145336 | + | 0.00145336i | ||||
\(799\) | −19.1331 | + | 5.12670i | −0.676880 | + | 0.181369i | ||||
\(800\) | −3.32463 | + | 0.890833i | −0.117544 | + | 0.0314957i | ||||
\(801\) | −1.63436 | − | 0.437924i | −0.0577471 | − | 0.0154733i | ||||
\(802\) | − | 1.05780i | − | 0.0373523i | ||||||
\(803\) | −1.73159 | − | 0.999731i | −0.0611063 | − | 0.0352797i | ||||
\(804\) | −20.5190 | + | 20.5190i | −0.723650 | + | 0.723650i | ||||
\(805\) | −1.59680 | −0.0562799 | ||||||||
\(806\) | 0.0754644 | + | 2.10011i | 0.00265812 | + | 0.0739733i | ||||
\(807\) | 29.7665 | 1.04783 | ||||||||
\(808\) | 3.85866 | − | 3.85866i | 0.135747 | − | 0.135747i | ||||
\(809\) | 6.97672 | + | 4.02801i | 0.245289 | + | 0.141617i | 0.617605 | − | 0.786488i | \(-0.288103\pi\) |
−0.372316 | + | 0.928106i | \(0.621436\pi\) | |||||||
\(810\) | − | 1.31830i | − | 0.0463204i | ||||||
\(811\) | 32.3110 | + | 8.65770i | 1.13459 | + | 0.304013i | 0.776774 | − | 0.629779i | \(-0.216855\pi\) |
0.357817 | + | 0.933792i | \(0.383521\pi\) | |||||||
\(812\) | −0.827022 | + | 0.221600i | −0.0290228 | + | 0.00777663i | ||||
\(813\) | −29.5611 | + | 7.92086i | −1.03675 | + | 0.277797i | ||||
\(814\) | −0.00903766 | − | 0.00903766i | −0.000316770 | − | 0.000316770i | ||||
\(815\) | −18.8212 | − | 32.5994i | −0.659280 | − | 1.14191i | ||||
\(816\) | −7.35389 | + | 4.24577i | −0.257438 | + | 0.148632i | ||||
\(817\) | 43.8052 | + | 11.7376i | 1.53255 | + | 0.410645i | ||||
\(818\) | 0.411925 | − | 0.713474i | 0.0144026 | − | 0.0249461i | ||||
\(819\) | −0.248534 | + | 0.148466i | −0.00868450 | + | 0.00518781i | ||||
\(820\) | 19.4069 | − | 33.6137i | 0.677717 | − | 1.17384i | ||||
\(821\) | −8.61692 | − | 8.61692i | −0.300733 | − | 0.300733i | 0.540568 | − | 0.841300i | \(-0.318209\pi\) |
−0.841300 | + | 0.540568i | \(0.818209\pi\) | |||||||
\(822\) | −2.35654 | −0.0821936 | ||||||||
\(823\) | −4.14424 | + | 7.17804i | −0.144459 | + | 0.250211i | −0.929171 | − | 0.369650i | \(-0.879478\pi\) |
0.784712 | + | 0.619861i | \(0.212811\pi\) | |||||||
\(824\) | 7.13502 | + | 1.91182i | 0.248560 | + | 0.0666015i | ||||
\(825\) | −2.21856 | − | 8.27978i | −0.0772404 | − | 0.288265i | ||||
\(826\) | 0.00358577 | − | 0.0133823i | 0.000124765 | − | 0.000465629i | ||||
\(827\) | −21.0142 | − | 5.63075i | −0.730736 | − | 0.195800i | −0.125779 | − | 0.992058i | \(-0.540143\pi\) |
−0.604957 | + | 0.796258i | \(0.706810\pi\) | |||||||
\(828\) | 14.7200 | − | 8.49861i | 0.511556 | − | 0.295347i | ||||
\(829\) | −20.5305 | −0.713054 | −0.356527 | − | 0.934285i | \(-0.616039\pi\) | ||||
−0.356527 | + | 0.934285i | \(0.616039\pi\) | |||||||
\(830\) | −1.05833 | − | 3.94973i | −0.0367351 | − | 0.137097i | ||||
\(831\) | −36.2614 | − | 20.9355i | −1.25789 | − | 0.726246i | ||||
\(832\) | 27.0543 | + | 6.81937i | 0.937938 | + | 0.236419i | ||||
\(833\) | − | 10.9351i | − | 0.378879i | ||||||
\(834\) | 0.723451 | + | 2.69996i | 0.0250511 | + | 0.0934919i | ||||
\(835\) | 16.6459i | 0.576054i | ||||||||
\(836\) | −24.4948 | −0.847172 | ||||||||
\(837\) | −15.1580 | + | 27.5783i | −0.523935 | + | 0.953247i | ||||
\(838\) | 0.188564 | − | 0.188564i | 0.00651382 | − | 0.00651382i | ||||
\(839\) | 28.4393 | + | 28.4393i | 0.981833 | + | 0.981833i | 0.999838 | − | 0.0180046i | \(-0.00573135\pi\) |
−0.0180046 | + | 0.999838i | \(0.505731\pi\) | |||||||
\(840\) | 0.0305037 | + | 0.113841i | 0.00105248 | + | 0.00392790i | ||||
\(841\) | −5.40300 | −0.186310 | ||||||||
\(842\) | −2.38055 | + | 1.37441i | −0.0820393 | + | 0.0473654i | ||||
\(843\) | −1.48224 | − | 5.53181i | −0.0510512 | − | 0.190526i | ||||
\(844\) | −35.2979 | − | 20.3793i | −1.21501 | − | 0.701484i | ||||
\(845\) | −26.3579 | − | 24.8339i | −0.906739 | − | 0.854313i | ||||
\(846\) | −0.725557 | − | 1.25670i | −0.0249452 | − | 0.0432063i | ||||
\(847\) | 0.421045 | + | 0.112819i | 0.0144673 | + | 0.00387650i | ||||
\(848\) | 6.42699 | − | 3.71063i | 0.220704 | − | 0.127423i | ||||
\(849\) | 6.47624 | − | 11.2172i | 0.222264 | − | 0.384972i | ||||
\(850\) | −0.116911 | + | 0.436316i | −0.00401000 | + | 0.0149655i | ||||
\(851\) | −0.109721 | − | 0.409483i | −0.00376118 | − | 0.0140369i | ||||
\(852\) | −12.2148 | + | 12.2148i | −0.418471 | + | 0.418471i | ||||
\(853\) | 32.6412 | + | 32.6412i | 1.11761 | + | 1.11761i | 0.992091 | + | 0.125522i | \(0.0400606\pi\) |
0.125522 | + | 0.992091i | \(0.459939\pi\) | |||||||
\(854\) | 0.0656880 | + | 0.0379250i | 0.00224780 | + | 0.00129777i | ||||
\(855\) | 14.4494 | − | 8.34237i | 0.494159 | − | 0.285303i | ||||
\(856\) | −4.80426 | + | 1.28730i | −0.164206 | + | 0.0439989i | ||||
\(857\) | 17.1825 | − | 9.92032i | 0.586943 | − | 0.338872i | −0.176945 | − | 0.984221i | \(-0.556621\pi\) |
0.763888 | + | 0.645349i | \(0.223288\pi\) | |||||||
\(858\) | 0.286497 | − | 1.13661i | 0.00978086 | − | 0.0388033i | ||||
\(859\) | −8.29682 | + | 4.79017i | −0.283084 | + | 0.163438i | −0.634819 | − | 0.772661i | \(-0.718925\pi\) |
0.351735 | + | 0.936100i | \(0.385592\pi\) | |||||||
\(860\) | 32.4570 | + | 32.4570i | 1.10677 | + | 1.10677i | ||||
\(861\) | −0.614641 | − | 0.354863i | −0.0209469 | − | 0.0120937i | ||||
\(862\) | −2.70181 | − | 1.55989i | −0.0920240 | − | 0.0531301i | ||||
\(863\) | 1.70248 | − | 6.35373i | 0.0579530 | − | 0.216284i | −0.930877 | − | 0.365334i | \(-0.880955\pi\) |
0.988830 | + | 0.149050i | \(0.0476216\pi\) | |||||||
\(864\) | −4.98385 | − | 4.98385i | −0.169554 | − | 0.169554i | ||||
\(865\) | −34.0605 | + | 9.12649i | −1.15809 | + | 0.310310i | ||||
\(866\) | 0.0294249 | − | 0.0294249i | 0.000999897 | − | 0.000999897i | ||||
\(867\) | − | 20.0952i | − | 0.682468i | ||||||
\(868\) | 0.193794 | − | 0.789305i | 0.00657778 | − | 0.0267908i | ||||
\(869\) | −9.56785 | − | 9.56785i | −0.324567 | − | 0.324567i | ||||
\(870\) | 2.36132i | 0.0800563i | ||||||||
\(871\) | 18.5579 | − | 33.2771i | 0.628809 | − | 1.12755i | ||||
\(872\) | −1.18864 | −0.0402524 | ||||||||
\(873\) | −13.2317 | − | 3.54541i | −0.447824 | − | 0.119994i | ||||
\(874\) | 3.87635 | + | 2.23801i | 0.131119 | + | 0.0757018i | ||||
\(875\) | 0.396570 | + | 0.228960i | 0.0134065 | + | 0.00774026i | ||||
\(876\) | −1.72584 | + | 1.72584i | −0.0583107 | + | 0.0583107i | ||||
\(877\) | 5.81689 | + | 1.55863i | 0.196422 | + | 0.0526312i | 0.355689 | − | 0.934604i | \(-0.384246\pi\) |
−0.159267 | + | 0.987236i | \(0.550913\pi\) | |||||||
\(878\) | 0.962408 | − | 3.59176i | 0.0324797 | − | 0.121216i | ||||
\(879\) | −39.0672 | − | 10.4680i | −1.31771 | − | 0.353078i | ||||
\(880\) | −21.3518 | − | 12.3275i | −0.719769 | − | 0.415559i | ||||
\(881\) | −12.0436 | − | 20.8601i | −0.405759 | − | 0.702796i | 0.588650 | − | 0.808388i | \(-0.299659\pi\) |
−0.994410 | + | 0.105592i | \(0.966326\pi\) | |||||||
\(882\) | 0.773796 | − | 0.207338i | 0.0260551 | − | 0.00698143i | ||||
\(883\) | 39.0313 | 1.31351 | 0.656753 | − | 0.754106i | \(-0.271929\pi\) | ||||
0.656753 | + | 0.754106i | \(0.271929\pi\) | |||||||
\(884\) | 7.80908 | − | 8.04501i | 0.262648 | − | 0.270583i | ||||
\(885\) | 6.00624 | + | 3.46771i | 0.201898 | + | 0.116566i | ||||
\(886\) | −0.340778 | − | 0.0913113i | −0.0114487 | − | 0.00306766i | ||||
\(887\) | −15.3578 | + | 26.6005i | −0.515664 | + | 0.893157i | 0.484170 | + | 0.874974i | \(0.339121\pi\) |
−0.999835 | + | 0.0181829i | \(0.994212\pi\) | |||||||
\(888\) | −0.0270975 | + | 0.0156447i | −0.000909331 | + | 0.000525003i | ||||
\(889\) | 0.0119761 | − | 0.0446953i | 0.000401664 | − | 0.00149903i | ||||
\(890\) | 0.116723 | − | 0.435615i | 0.00391255 | − | 0.0146018i | ||||
\(891\) | 7.19101 | − | 7.19101i | 0.240908 | − | 0.240908i | ||||
\(892\) | 0.531730 | + | 1.98444i | 0.0178036 | + | 0.0664441i | ||||
\(893\) | −34.6808 | + | 60.0689i | −1.16055 | + | 2.01013i | ||||
\(894\) | −0.449148 | − | 0.777948i | −0.0150218 | − | 0.0260185i | ||||
\(895\) | −35.4765 | + | 35.4765i | −1.18585 | + | 1.18585i | ||||
\(896\) | 0.209996 | + | 0.121241i | 0.00701548 | + | 0.00405039i | ||||
\(897\) | 27.0791 | − | 27.8973i | 0.904146 | − | 0.931463i | ||||
\(898\) | − | 2.43092i | − | 0.0811209i | ||||||
\(899\) | 15.7300 | − | 28.6192i | 0.524626 | − | 0.954504i | ||||
\(900\) | 6.00650 | 0.200217 | ||||||||
\(901\) | − | 2.94890i | − | 0.0982423i | ||||||
\(902\) | −1.59336 | + | 0.426941i | −0.0530532 | + | 0.0142156i | ||||
\(903\) | 0.593491 | − | 0.593491i | 0.0197501 | − | 0.0197501i | ||||
\(904\) | −0.0743322 | + | 0.277411i | −0.00247225 | + | 0.00922657i | ||||
\(905\) | 11.1457 | + | 41.5964i | 0.370496 | + | 1.38271i | ||||
\(906\) | −1.03050 | + | 1.78487i | −0.0342359 | + | 0.0592984i | ||||
\(907\) | 19.3187i | 0.641465i | 0.947170 | + | 0.320733i | \(0.103929\pi\) | ||||
−0.947170 | + | 0.320733i | \(0.896071\pi\) | |||||||
\(908\) | −9.16688 | + | 34.2113i | −0.304214 | + | 1.13534i | ||||
\(909\) | −12.3820 | + | 7.14877i | −0.410686 | + | 0.237110i | ||||
\(910\) | −0.0395714 | − | 0.0662433i | −0.00131178 | − | 0.00219595i | ||||
\(911\) | −20.9064 | − | 12.0703i | −0.692658 | − | 0.399907i | 0.111949 | − | 0.993714i | \(-0.464291\pi\) |
−0.804607 | + | 0.593807i | \(0.797624\pi\) | |||||||
\(912\) | −7.69592 | + | 28.7216i | −0.254837 | + | 0.951066i | ||||
\(913\) | 15.7719 | − | 27.3177i | 0.521973 | − | 0.904084i | ||||
\(914\) | −3.79243 | −0.125443 | ||||||||
\(915\) | −26.8488 | + | 26.8488i | −0.887596 | + | 0.887596i | ||||
\(916\) | 15.3811 | − | 4.12135i | 0.508205 | − | 0.136173i | ||||
\(917\) | 0.0570401 | − | 0.212877i | 0.00188363 | − | 0.00702980i | ||||
\(918\) | −0.893473 | + | 0.239405i | −0.0294890 | + | 0.00790155i | ||||
\(919\) | −24.3271 | − | 42.1358i | −0.802477 | − | 1.38993i | −0.917981 | − | 0.396624i | \(-0.870182\pi\) |
0.115504 | − | 0.993307i | \(-0.463152\pi\) | |||||||
\(920\) | 4.54285 | + | 7.86845i | 0.149773 | + | 0.259415i | ||||
\(921\) | 20.7823 | + | 5.56861i | 0.684801 | + | 0.183492i | ||||
\(922\) | −3.71290 | −0.122278 | ||||||||
\(923\) | 11.0473 | − | 19.8095i | 0.363627 | − | 0.652038i | ||||
\(924\) | −0.226669 | + | 0.392602i | −0.00745686 | + | 0.0129157i | ||||
\(925\) | 0.0387732 | − | 0.144704i | 0.00127485 | − | 0.00475782i | ||||
\(926\) | 0.814968i | 0.0267815i | ||||||||
\(927\) | −16.7607 | − | 9.67680i | −0.550494 | − | 0.317828i | ||||
\(928\) | 5.17195 | + | 5.17195i | 0.169778 | + | 0.169778i | ||||
\(929\) | −18.6609 | − | 18.6609i | −0.612243 | − | 0.612243i | 0.331287 | − | 0.943530i | \(-0.392517\pi\) |
−0.943530 | + | 0.331287i | \(0.892517\pi\) | |||||||
\(930\) | −1.96434 | − | 1.07966i | −0.0644132 | − | 0.0354036i | ||||
\(931\) | −27.0760 | − | 27.0760i | −0.887381 | − | 0.887381i | ||||
\(932\) | −27.2726 | −0.893344 | ||||||||
\(933\) | 6.69884 | − | 11.6027i | 0.219310 | − | 0.379856i | ||||
\(934\) | 1.24585 | + | 1.24585i | 0.0407655 | + | 0.0407655i | ||||
\(935\) | −8.48434 | + | 4.89844i | −0.277468 | + | 0.160196i | ||||
\(936\) | 1.43866 | + | 0.802306i | 0.0470240 | + | 0.0262242i | ||||
\(937\) | 27.2457 | − | 47.1909i | 0.890078 | − | 1.54166i | 0.0502966 | − | 0.998734i | \(-0.483983\pi\) |
0.839781 | − | 0.542925i | \(-0.182683\pi\) | |||||||
\(938\) | 0.0574066 | − | 0.0574066i | 0.00187439 | − | 0.00187439i | ||||
\(939\) | 17.5401 | + | 30.3804i | 0.572401 | + | 0.991427i | ||||
\(940\) | −60.7983 | + | 35.1019i | −1.98302 | + | 1.14490i | ||||
\(941\) | 11.4103 | − | 42.5837i | 0.371964 | − | 1.38819i | −0.485767 | − | 0.874089i | \(-0.661459\pi\) |
0.857730 | − | 0.514100i | \(-0.171874\pi\) | |||||||
\(942\) | −1.51617 | + | 0.406256i | −0.0493994 | + | 0.0132365i | ||||
\(943\) | −52.8489 | − | 14.1608i | −1.72100 | − | 0.461140i | ||||
\(944\) | 6.85338 | − | 1.83636i | 0.223058 | − | 0.0597683i | ||||
\(945\) | − | 1.15551i | − | 0.0375888i | ||||||
\(946\) | − | 1.95079i | − | 0.0634255i | ||||||
\(947\) | −8.48105 | − | 31.6517i | −0.275597 | − | 1.02854i | −0.955440 | − | 0.295185i | \(-0.904619\pi\) |
0.679843 | − | 0.733358i | \(-0.262048\pi\) | |||||||
\(948\) | −14.3041 | + | 8.25850i | −0.464577 | + | 0.268224i | ||||
\(949\) | 1.56089 | − | 2.79891i | 0.0506685 | − | 0.0908564i | ||||
\(950\) | 0.790870 | + | 1.36983i | 0.0256592 | + | 0.0444431i | ||||
\(951\) | −0.913468 | + | 3.40911i | −0.0296212 | + | 0.110548i | ||||
\(952\) | 0.0414915 | − | 0.0239551i | 0.00134475 | − | 0.000776390i | ||||
\(953\) | 18.6271 | 0.603390 | 0.301695 | − | 0.953405i | \(-0.402448\pi\) | ||||
0.301695 | + | 0.953405i | \(0.402448\pi\) | |||||||
\(954\) | 0.208672 | − | 0.0559135i | 0.00675601 | − | 0.00181027i | ||||
\(955\) | −15.8936 | − | 59.3158i | −0.514305 | − | 1.91941i | ||||
\(956\) | −5.81693 | − | 1.55864i | −0.188133 | − | 0.0504100i | ||||
\(957\) | −12.8804 | + | 12.8804i | −0.416365 | + | 0.416365i | ||||
\(958\) | 1.64816 | − | 2.85470i | 0.0532496 | − | 0.0922310i | ||||
\(959\) | −1.19669 | −0.0386432 | ||||||||
\(960\) | −21.0432 | + | 21.0432i | −0.679166 | + | 0.679166i | ||||
\(961\) | 16.6155 | + | 26.1711i | 0.535985 | + | 0.844228i | ||||
\(962\) | 0.0142684 | − | 0.0146994i | 0.000460030 | − | 0.000473929i | ||||
\(963\) | 13.0314 | 0.419933 | ||||||||
\(964\) | −3.60336 | + | 0.965517i | −0.116056 | + | 0.0310972i | ||||
\(965\) | 7.72676 | 0.248733 | ||||||||
\(966\) | 0.0717414 | − | 0.0414199i | 0.00230824 | − | 0.00133266i | ||||
\(967\) | −30.0412 | + | 8.04951i | −0.966060 | + | 0.258855i | −0.707163 | − | 0.707050i | \(-0.750025\pi\) |
−0.258896 | + | 0.965905i | \(0.583359\pi\) | |||||||
\(968\) | −0.641932 | − | 2.39572i | −0.0206325 | − | 0.0770014i | ||||
\(969\) | 8.35473 | + | 8.35473i | 0.268393 | + | 0.268393i | ||||
\(970\) | 0.944980 | − | 3.52671i | 0.0303415 | − | 0.113236i | ||||
\(971\) | 10.9304 | + | 18.9319i | 0.350772 | + | 0.607555i | 0.986385 | − | 0.164453i | \(-0.0525859\pi\) |
−0.635613 | + | 0.772008i | \(0.719253\pi\) | |||||||
\(972\) | 10.6564 | + | 18.4575i | 0.341805 | + | 0.592023i | ||||
\(973\) | 0.367382 | + | 1.37109i | 0.0117777 | + | 0.0439551i | ||||
\(974\) | 1.63051 | + | 2.82413i | 0.0522450 | + | 0.0904910i | ||||
\(975\) | 13.2164 | − | 3.75297i | 0.423263 | − | 0.120191i | ||||
\(976\) | 38.8445i | 1.24338i | ||||||||
\(977\) | −1.36791 | + | 1.36791i | −0.0437632 | + | 0.0437632i | −0.728650 | − | 0.684887i | \(-0.759852\pi\) |
0.684887 | + | 0.728650i | \(0.259852\pi\) | |||||||
\(978\) | 1.69121 | + | 0.976420i | 0.0540789 | + | 0.0312225i | ||||
\(979\) | 3.01286 | − | 1.73948i | 0.0962915 | − | 0.0555939i | ||||
\(980\) | −10.0309 | − | 37.4357i | −0.320424 | − | 1.19584i | ||||
\(981\) | 3.00818 | + | 0.806039i | 0.0960437 | + | 0.0257348i | ||||
\(982\) | 1.82820 | + | 0.489865i | 0.0583402 | + | 0.0156322i | ||||
\(983\) | −8.59347 | − | 2.30261i | −0.274089 | − | 0.0734420i | 0.119156 | − | 0.992876i | \(-0.461981\pi\) |
−0.393245 | + | 0.919434i | \(0.628648\pi\) | |||||||
\(984\) | 4.03830i | 0.128736i | ||||||||
\(985\) | −7.33922 | + | 12.7119i | −0.233847 | + | 0.405035i | ||||
\(986\) | 0.927194 | − | 0.248441i | 0.0295279 | − | 0.00791197i | ||||
\(987\) | 0.641854 | + | 1.11172i | 0.0204304 | + | 0.0353865i | ||||
\(988\) | −0.584188 | − | 39.2558i | −0.0185855 | − | 1.24889i | ||||
\(989\) | 32.3520 | − | 56.0353i | 1.02873 | − | 1.78182i | ||||
\(990\) | −0.507496 | − | 0.507496i | −0.0161293 | − | 0.0161293i | ||||
\(991\) | 0.395315i | 0.0125576i | 0.999980 | + | 0.00627880i | \(0.00199862\pi\) | ||||
−0.999980 | + | 0.00627880i | \(0.998001\pi\) | |||||||
\(992\) | −6.66721 | + | 1.93768i | −0.211684 | + | 0.0615215i | ||||
\(993\) | 13.9845 | − | 13.9845i | 0.443783 | − | 0.443783i | ||||
\(994\) | 0.0341736 | − | 0.0341736i | 0.00108392 | − | 0.00108392i | ||||
\(995\) | −0.327982 | − | 1.22405i | −0.0103977 | − | 0.0388049i | ||||
\(996\) | −27.2271 | − | 27.2271i | −0.862722 | − | 0.862722i | ||||
\(997\) | −9.49803 | − | 16.4511i | −0.300806 | − | 0.521011i | 0.675513 | − | 0.737348i | \(-0.263922\pi\) |
−0.976319 | + | 0.216337i | \(0.930589\pi\) | |||||||
\(998\) | 1.36971 | − | 2.37240i | 0.0433573 | − | 0.0750970i | ||||
\(999\) | 0.296319 | − | 0.0793984i | 0.00937511 | − | 0.00251205i |
(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 | 403.2.be.c.57.18 | ✓ | 136 | |
13.8 | odd | 4 | inner | 403.2.be.c.398.18 | yes | 136 | |
31.6 | odd | 6 | inner | 403.2.be.c.161.18 | yes | 136 | |
403.99 | even | 12 | inner | 403.2.be.c.99.18 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.be.c.57.18 | ✓ | 136 | 1.1 | even | 1 | trivial | |
403.2.be.c.99.18 | yes | 136 | 403.99 | even | 12 | inner | |
403.2.be.c.161.18 | yes | 136 | 31.6 | odd | 6 | inner | |
403.2.be.c.398.18 | yes | 136 | 13.8 | odd | 4 | inner |