Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(16,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bl (of order \(15\), degree \(8\), 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: | \(1\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 126.1 | ||
Root | \(0.913545 + 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 403.126 |
Dual form | 403.2.bl.a.16.1 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.39169 | + | 1.06485i | −1.69118 | + | 0.752963i | −0.691655 | + | 0.722228i | \(0.743118\pi\) |
−0.999528 | + | 0.0307347i | \(0.990215\pi\) | |||||||
\(3\) | 0.233733 | + | 2.22382i | 0.134946 | + | 1.28392i | 0.827051 | + | 0.562126i | \(0.190016\pi\) |
−0.692106 | + | 0.721796i | \(0.743317\pi\) | |||||||
\(4\) | 3.24803 | − | 3.60730i | 1.62401 | − | 1.80365i | ||||
\(5\) | −3.00000 | −1.34164 | −0.670820 | − | 0.741620i | \(-0.734058\pi\) | ||||
−0.670820 | + | 0.741620i | \(0.734058\pi\) | |||||||
\(6\) | −2.92705 | − | 5.06980i | −1.19496 | − | 2.06974i | ||||
\(7\) | −2.00739 | + | 2.22943i | −0.758723 | + | 0.842647i | −0.991530 | − | 0.129876i | \(-0.958542\pi\) |
0.232807 | + | 0.972523i | \(0.425209\pi\) | |||||||
\(8\) | −2.30902 | + | 7.10642i | −0.816361 | + | 2.51250i | ||||
\(9\) | −1.95630 | + | 0.415823i | −0.652098 | + | 0.138608i | ||||
\(10\) | 7.17508 | − | 3.19455i | 2.26896 | − | 1.01021i | ||||
\(11\) | −2.18720 | − | 0.464905i | −0.659467 | − | 0.140174i | −0.133991 | − | 0.990983i | \(-0.542779\pi\) |
−0.525476 | + | 0.850809i | \(0.676113\pi\) | |||||||
\(12\) | 8.78115 | + | 6.37988i | 2.53490 | + | 1.84171i | ||||
\(13\) | −0.495432 | + | 3.57135i | −0.137408 | + | 0.990515i | ||||
\(14\) | 2.42705 | − | 7.46969i | 0.648657 | − | 1.99636i | ||||
\(15\) | −0.701198 | − | 6.67146i | −0.181049 | − | 1.72256i | ||||
\(16\) | −1.03003 | − | 9.80012i | −0.257509 | − | 2.45003i | ||||
\(17\) | 1.35177 | − | 0.287327i | 0.327852 | − | 0.0696870i | −0.0410454 | − | 0.999157i | \(-0.513069\pi\) |
0.368897 | + | 0.929470i | \(0.379736\pi\) | |||||||
\(18\) | 4.23607 | − | 3.07768i | 0.998451 | − | 0.725417i | ||||
\(19\) | 0.627171 | − | 5.96713i | 0.143883 | − | 1.36895i | −0.649561 | − | 0.760310i | \(-0.725047\pi\) |
0.793443 | − | 0.608644i | \(-0.208286\pi\) | |||||||
\(20\) | −9.74408 | + | 10.8219i | −2.17884 | + | 2.41985i | ||||
\(21\) | −5.42705 | − | 3.94298i | −1.18428 | − | 0.860430i | ||||
\(22\) | 5.72618 | − | 1.21714i | 1.22082 | − | 0.259494i | ||||
\(23\) | −2.51856 | − | 2.79715i | −0.525157 | − | 0.583245i | 0.420957 | − | 0.907081i | \(-0.361694\pi\) |
−0.946114 | + | 0.323835i | \(0.895028\pi\) | |||||||
\(24\) | −16.3431 | − | 3.47383i | −3.33602 | − | 0.709093i | ||||
\(25\) | 4.00000 | 0.800000 | ||||||||
\(26\) | −2.61803 | − | 9.06914i | −0.513439 | − | 1.77860i | ||||
\(27\) | 0.690983 | + | 2.12663i | 0.132980 | + | 0.409270i | ||||
\(28\) | 1.52218 | + | 14.4825i | 0.287664 | + | 2.73694i | ||||
\(29\) | −5.13233 | + | 2.28506i | −0.953050 | + | 0.424325i | −0.823543 | − | 0.567254i | \(-0.808006\pi\) |
−0.129506 | + | 0.991579i | \(0.541339\pi\) | |||||||
\(30\) | 8.78115 | + | 15.2094i | 1.60321 | + | 2.77684i | ||||
\(31\) | 5.28115 | + | 1.76336i | 0.948523 | + | 0.316708i | ||||
\(32\) | 5.42705 | + | 9.39993i | 0.959376 | + | 1.66169i | ||||
\(33\) | 0.522642 | − | 4.97261i | 0.0909803 | − | 0.865620i | ||||
\(34\) | −2.92705 | + | 2.12663i | −0.501985 | + | 0.364714i | ||||
\(35\) | 6.02218 | − | 6.68830i | 1.01793 | − | 1.13053i | ||||
\(36\) | −4.85410 | + | 8.40755i | −0.809017 | + | 1.40126i | ||||
\(37\) | 4.04508 | − | 7.00629i | 0.665008 | − | 1.15183i | −0.314275 | − | 0.949332i | \(-0.601762\pi\) |
0.979283 | − | 0.202496i | \(-0.0649052\pi\) | |||||||
\(38\) | 4.85410 | + | 14.9394i | 0.787439 | + | 2.42349i | ||||
\(39\) | −8.05784 | − | 0.267008i | −1.29029 | − | 0.0427556i | ||||
\(40\) | 6.92705 | − | 21.3193i | 1.09526 | − | 3.37087i | ||||
\(41\) | 6.69285 | − | 2.97985i | 1.04525 | − | 0.465374i | 0.189020 | − | 0.981973i | \(-0.439469\pi\) |
0.856228 | + | 0.516599i | \(0.172802\pi\) | |||||||
\(42\) | 17.1785 | + | 3.65141i | 2.65070 | + | 0.563425i | ||||
\(43\) | 0.676522 | − | 6.43668i | 0.103169 | − | 0.981585i | −0.813399 | − | 0.581706i | \(-0.802386\pi\) |
0.916568 | − | 0.399879i | \(-0.130948\pi\) | |||||||
\(44\) | −8.78115 | + | 6.37988i | −1.32381 | + | 0.961803i | ||||
\(45\) | 5.86889 | − | 1.24747i | 0.874882 | − | 0.185962i | ||||
\(46\) | 9.00217 | + | 4.00802i | 1.32730 | + | 0.590951i | ||||
\(47\) | −6.85410 | + | 4.97980i | −0.999774 | + | 0.726378i | −0.962040 | − | 0.272910i | \(-0.912014\pi\) |
−0.0377339 | + | 0.999288i | \(0.512014\pi\) | |||||||
\(48\) | 21.5529 | − | 4.58122i | 3.11090 | − | 0.661242i | ||||
\(49\) | −0.209057 | − | 1.98904i | −0.0298653 | − | 0.284149i | ||||
\(50\) | −9.56677 | + | 4.25940i | −1.35295 | + | 0.602370i | ||||
\(51\) | 0.954915 | + | 2.93893i | 0.133715 | + | 0.411532i | ||||
\(52\) | 11.2738 | + | 13.3870i | 1.56339 | + | 1.85645i | ||||
\(53\) | −0.118034 | + | 0.363271i | −0.0162132 | + | 0.0498991i | −0.958836 | − | 0.283961i | \(-0.908351\pi\) |
0.942623 | + | 0.333860i | \(0.108351\pi\) | |||||||
\(54\) | −3.91716 | − | 4.35045i | −0.533058 | − | 0.592021i | ||||
\(55\) | 6.56161 | + | 1.39471i | 0.884768 | + | 0.188063i | ||||
\(56\) | −11.2082 | − | 19.4132i | −1.49776 | − | 2.59420i | ||||
\(57\) | 13.4164 | 1.77705 | ||||||||
\(58\) | 9.84171 | − | 10.9303i | 1.29228 | − | 1.43522i | ||||
\(59\) | 6.17916 | + | 2.75114i | 0.804458 | + | 0.358168i | 0.767419 | − | 0.641146i | \(-0.221541\pi\) |
0.0370391 | + | 0.999314i | \(0.488207\pi\) | |||||||
\(60\) | −26.3435 | − | 19.1396i | −3.40093 | − | 2.47092i | ||||
\(61\) | −5.78115 | − | 10.0133i | −0.740201 | − | 1.28207i | −0.952404 | − | 0.304840i | \(-0.901397\pi\) |
0.212203 | − | 0.977226i | \(-0.431936\pi\) | |||||||
\(62\) | −14.5086 | + | 1.40623i | −1.84259 | + | 0.178592i | ||||
\(63\) | 3.00000 | − | 5.19615i | 0.377964 | − | 0.654654i | ||||
\(64\) | −7.04508 | − | 5.11855i | −0.880636 | − | 0.639819i | ||||
\(65\) | 1.48629 | − | 10.7141i | 0.184352 | − | 1.32891i | ||||
\(66\) | 4.04508 | + | 12.4495i | 0.497916 | + | 1.53243i | ||||
\(67\) | −6.11803 | + | 10.5967i | −0.747437 | + | 1.29460i | 0.201611 | + | 0.979466i | \(0.435382\pi\) |
−0.949048 | + | 0.315133i | \(0.897951\pi\) | |||||||
\(68\) | 3.35410 | − | 5.80948i | 0.406745 | − | 0.704502i | ||||
\(69\) | 5.63168 | − | 6.25461i | 0.677974 | − | 0.752967i | ||||
\(70\) | −7.28115 | + | 22.4091i | −0.870264 | + | 2.67840i | ||||
\(71\) | 4.42892 | − | 0.941396i | 0.525616 | − | 0.111723i | 0.0625413 | − | 0.998042i | \(-0.480079\pi\) |
0.463075 | + | 0.886319i | \(0.346746\pi\) | |||||||
\(72\) | 1.56210 | − | 14.8624i | 0.184095 | − | 1.75155i | ||||
\(73\) | −2.14590 | − | 6.60440i | −0.251158 | − | 0.772986i | −0.994562 | − | 0.104143i | \(-0.966790\pi\) |
0.743404 | − | 0.668843i | \(-0.233210\pi\) | |||||||
\(74\) | −2.21395 | + | 21.0643i | −0.257366 | + | 2.44868i | ||||
\(75\) | 0.934931 | + | 8.89527i | 0.107957 | + | 1.02714i | ||||
\(76\) | −19.4882 | − | 21.6438i | −2.23545 | − | 2.48271i | ||||
\(77\) | 5.42705 | − | 3.94298i | 0.618470 | − | 0.449345i | ||||
\(78\) | 19.5562 | − | 7.94179i | 2.21430 | − | 0.899230i | ||||
\(79\) | −5.07295 | + | 15.6129i | −0.570751 | + | 1.75659i | 0.0794593 | + | 0.996838i | \(0.474681\pi\) |
−0.650211 | + | 0.759754i | \(0.725319\pi\) | |||||||
\(80\) | 3.09010 | + | 29.4004i | 0.345484 | + | 3.28706i | ||||
\(81\) | −10.0490 | + | 4.47410i | −1.11656 | + | 0.497123i | ||||
\(82\) | −12.8342 | + | 14.2538i | −1.41730 | + | 1.57407i | ||||
\(83\) | −9.66312 | − | 7.02067i | −1.06067 | − | 0.770618i | −0.0864538 | − | 0.996256i | \(-0.527553\pi\) |
−0.974211 | + | 0.225638i | \(0.927553\pi\) | |||||||
\(84\) | −31.8507 | + | 6.77008i | −3.47520 | + | 0.738677i | ||||
\(85\) | −4.05530 | + | 0.861981i | −0.439859 | + | 0.0934949i | ||||
\(86\) | 5.23607 | + | 16.1150i | 0.564620 | + | 1.73772i | ||||
\(87\) | −6.28115 | − | 10.8793i | −0.673410 | − | 1.16638i | ||||
\(88\) | 8.35410 | − | 14.4697i | 0.890550 | − | 1.54248i | ||||
\(89\) | 1.81359 | + | 0.385489i | 0.192240 | + | 0.0408618i | 0.303025 | − | 0.952983i | \(-0.402003\pi\) |
−0.110786 | + | 0.993844i | \(0.535337\pi\) | |||||||
\(90\) | −12.7082 | + | 9.23305i | −1.33956 | + | 0.973249i | ||||
\(91\) | −6.96757 | − | 8.27363i | −0.730400 | − | 0.867312i | ||||
\(92\) | −18.2705 | −1.90483 | ||||||||
\(93\) | −2.68700 | + | 12.1565i | −0.278629 | + | 1.26057i | ||||
\(94\) | 11.0902 | − | 19.2087i | 1.14386 | − | 1.98123i | ||||
\(95\) | −1.88151 | + | 17.9014i | −0.193039 | + | 1.83664i | ||||
\(96\) | −19.6353 | + | 14.2658i | −2.00401 | + | 1.45600i | ||||
\(97\) | 0.413545 | − | 0.459289i | 0.0419892 | − | 0.0466337i | −0.721784 | − | 0.692118i | \(-0.756678\pi\) |
0.763774 | + | 0.645484i | \(0.223344\pi\) | |||||||
\(98\) | 2.61803 | + | 4.53457i | 0.264461 | + | 0.458061i | ||||
\(99\) | 4.47214 | 0.449467 | ||||||||
\(100\) | 12.9921 | − | 14.4292i | 1.29921 | − | 1.44292i | ||||
\(101\) | −8.81937 | − | 9.79490i | −0.877560 | − | 0.974629i | 0.122280 | − | 0.992496i | \(-0.460979\pi\) |
−0.999840 | + | 0.0178665i | \(0.994313\pi\) | |||||||
\(102\) | −5.41338 | − | 6.01217i | −0.536005 | − | 0.595293i | ||||
\(103\) | −11.2812 | − | 8.19624i | −1.11157 | − | 0.807599i | −0.128656 | − | 0.991689i | \(-0.541066\pi\) |
−0.982909 | + | 0.184090i | \(0.941066\pi\) | |||||||
\(104\) | −24.2356 | − | 11.7671i | −2.37649 | − | 1.15385i | ||||
\(105\) | 16.2812 | + | 11.8290i | 1.58888 | + | 1.15439i | ||||
\(106\) | −0.104528 | − | 0.994522i | −0.0101527 | − | 0.0965965i | ||||
\(107\) | −4.62358 | − | 5.13500i | −0.446978 | − | 0.496420i | 0.476979 | − | 0.878914i | \(-0.341732\pi\) |
−0.923958 | + | 0.382495i | \(0.875065\pi\) | |||||||
\(108\) | 9.91572 | + | 4.41476i | 0.954140 | + | 0.424811i | ||||
\(109\) | −6.54508 | + | 4.75528i | −0.626905 | + | 0.455473i | −0.855327 | − | 0.518089i | \(-0.826644\pi\) |
0.228421 | + | 0.973562i | \(0.426644\pi\) | |||||||
\(110\) | −17.1785 | + | 3.65141i | −1.63791 | + | 0.348148i | ||||
\(111\) | 16.5262 | + | 7.35793i | 1.56860 | + | 0.698384i | ||||
\(112\) | 23.9164 | + | 17.3763i | 2.25989 | + | 1.64190i | ||||
\(113\) | 9.23291 | − | 10.2542i | 0.868560 | − | 0.964633i | −0.131083 | − | 0.991371i | \(-0.541845\pi\) |
0.999642 | + | 0.0267383i | \(0.00851209\pi\) | |||||||
\(114\) | −32.0879 | + | 14.2865i | −3.00531 | + | 1.33805i | ||||
\(115\) | 7.55569 | + | 8.39144i | 0.704571 | + | 0.782506i | ||||
\(116\) | −8.42705 | + | 25.9358i | −0.782432 | + | 2.40808i | ||||
\(117\) | −0.515841 | − | 7.19263i | −0.0476895 | − | 0.664959i | ||||
\(118\) | −17.7082 | −1.63017 | ||||||||
\(119\) | −2.07295 | + | 3.59045i | −0.190027 | + | 0.329136i | ||||
\(120\) | 49.0293 | + | 10.4215i | 4.47574 | + | 0.951348i | ||||
\(121\) | −5.48127 | − | 2.44042i | −0.498298 | − | 0.221856i | ||||
\(122\) | 24.4894 | + | 17.7926i | 2.21716 | + | 1.61086i | ||||
\(123\) | 8.19098 | + | 14.1872i | 0.738556 | + | 1.27922i | ||||
\(124\) | 23.5143 | − | 13.3233i | 2.11165 | − | 1.19647i | ||||
\(125\) | 3.00000 | 0.268328 | ||||||||
\(126\) | −1.64195 | + | 15.6222i | −0.146277 | + | 1.39173i | ||||
\(127\) | 1.39297 | + | 13.2532i | 0.123606 | + | 1.17603i | 0.863869 | + | 0.503717i | \(0.168034\pi\) |
−0.740263 | + | 0.672318i | \(0.765299\pi\) | |||||||
\(128\) | 1.06635 | + | 0.226659i | 0.0942527 | + | 0.0200340i | ||||
\(129\) | 14.4721 | 1.27420 | ||||||||
\(130\) | 7.85410 | + | 27.2074i | 0.688850 | + | 2.38625i | ||||
\(131\) | −2.66312 | − | 8.19624i | −0.232678 | − | 0.716109i | −0.997421 | − | 0.0717734i | \(-0.977134\pi\) |
0.764743 | − | 0.644335i | \(-0.222866\pi\) | |||||||
\(132\) | −16.2401 | − | 18.0365i | −1.41352 | − | 1.56988i | ||||
\(133\) | 12.0444 | + | 13.3766i | 1.04438 | + | 1.15990i | ||||
\(134\) | 3.34851 | − | 31.8590i | 0.289267 | − | 2.75219i | ||||
\(135\) | −2.07295 | − | 6.37988i | −0.178411 | − | 0.549093i | ||||
\(136\) | −1.07939 | + | 10.2697i | −0.0925566 | + | 0.880617i | ||||
\(137\) | −11.4448 | − | 5.09554i | −0.977793 | − | 0.435341i | −0.145306 | − | 0.989387i | \(-0.546417\pi\) |
−0.832487 | + | 0.554045i | \(0.813083\pi\) | |||||||
\(138\) | −6.80902 | + | 20.9560i | −0.579622 | + | 1.78389i | ||||
\(139\) | −19.8314 | − | 8.82952i | −1.68208 | − | 0.748910i | −0.999842 | − | 0.0177802i | \(-0.994340\pi\) |
−0.682238 | − | 0.731130i | \(-0.738993\pi\) | |||||||
\(140\) | −4.56653 | − | 43.4476i | −0.385942 | − | 3.67199i | ||||
\(141\) | −12.6762 | − | 14.0783i | −1.06753 | − | 1.18561i | ||||
\(142\) | −9.59017 | + | 6.96767i | −0.804789 | + | 0.584714i | ||||
\(143\) | 2.74395 | − | 7.58095i | 0.229460 | − | 0.633951i | ||||
\(144\) | 6.09017 | + | 18.7436i | 0.507514 | + | 1.56197i | ||||
\(145\) | 15.3970 | − | 6.85518i | 1.27865 | − | 0.569292i | ||||
\(146\) | 12.1650 | + | 13.5106i | 1.00678 | + | 1.11815i | ||||
\(147\) | 4.37441 | − | 0.929809i | 0.360795 | − | 0.0766894i | ||||
\(148\) | −12.1353 | − | 37.3485i | −0.997512 | − | 3.07003i | ||||
\(149\) | −1.50000 | − | 2.59808i | −0.122885 | − | 0.212843i | 0.798019 | − | 0.602632i | \(-0.205881\pi\) |
−0.920904 | + | 0.389789i | \(0.872548\pi\) | |||||||
\(150\) | −11.7082 | − | 20.2792i | −0.955971 | − | 1.65579i | ||||
\(151\) | 1.32624 | + | 4.08174i | 0.107928 | + | 0.332167i | 0.990406 | − | 0.138185i | \(-0.0441268\pi\) |
−0.882479 | + | 0.470352i | \(0.844127\pi\) | |||||||
\(152\) | 40.9568 | + | 18.2351i | 3.32204 | + | 1.47907i | ||||
\(153\) | −2.52498 | + | 1.12419i | −0.204132 | + | 0.0908856i | ||||
\(154\) | −8.78115 | + | 15.2094i | −0.707605 | + | 1.22561i | ||||
\(155\) | −15.8435 | − | 5.29007i | −1.27258 | − | 0.424908i | ||||
\(156\) | −27.1353 | + | 28.1998i | −2.17256 | + | 2.25779i | ||||
\(157\) | −13.6631 | − | 9.92684i | −1.09044 | − | 0.792248i | −0.110963 | − | 0.993825i | \(-0.535393\pi\) |
−0.979473 | + | 0.201577i | \(0.935393\pi\) | |||||||
\(158\) | −4.49250 | − | 42.7433i | −0.357404 | − | 3.40047i | ||||
\(159\) | −0.835438 | − | 0.177578i | −0.0662545 | − | 0.0140828i | ||||
\(160\) | −16.2812 | − | 28.1998i | −1.28714 | − | 2.22939i | ||||
\(161\) | 11.2918 | 0.889918 | ||||||||
\(162\) | 19.2699 | − | 21.4014i | 1.51398 | − | 1.68145i | ||||
\(163\) | −4.83623 | + | 1.02797i | −0.378803 | + | 0.0805170i | −0.393378 | − | 0.919377i | \(-0.628694\pi\) |
0.0145755 | + | 0.999894i | \(0.495360\pi\) | |||||||
\(164\) | 10.9894 | − | 33.8218i | 0.858125 | − | 2.64104i | ||||
\(165\) | −1.56793 | + | 14.9178i | −0.122063 | + | 1.16135i | ||||
\(166\) | 30.5872 | + | 6.50150i | 2.37403 | + | 0.504615i | ||||
\(167\) | −7.47311 | + | 3.32724i | −0.578287 | + | 0.257470i | −0.674970 | − | 0.737845i | \(-0.735843\pi\) |
0.0966830 | + | 0.995315i | \(0.469177\pi\) | |||||||
\(168\) | 40.5517 | − | 29.4625i | 3.12863 | − | 2.27308i | ||||
\(169\) | −12.5091 | − | 3.53872i | −0.962238 | − | 0.272209i | ||||
\(170\) | 8.78115 | − | 6.37988i | 0.673484 | − | 0.489315i | ||||
\(171\) | 1.25434 | + | 11.9343i | 0.0959219 | + | 0.912636i | ||||
\(172\) | −21.0217 | − | 23.3469i | −1.60289 | − | 1.78019i | ||||
\(173\) | 10.5627 | + | 4.70281i | 0.803067 | + | 0.357548i | 0.766875 | − | 0.641797i | \(-0.221811\pi\) |
0.0361917 | + | 0.999345i | \(0.488477\pi\) | |||||||
\(174\) | 26.6074 | + | 19.3314i | 2.01710 | + | 1.46551i | ||||
\(175\) | −8.02957 | + | 8.91774i | −0.606978 | + | 0.674118i | ||||
\(176\) | −2.30323 | + | 21.9137i | −0.173612 | + | 1.65181i | ||||
\(177\) | −4.67376 | + | 14.3844i | −0.351301 | + | 1.08119i | ||||
\(178\) | −4.74803 | + | 1.00922i | −0.355880 | + | 0.0756446i | ||||
\(179\) | 14.9913 | + | 3.18650i | 1.12050 | + | 0.238170i | 0.730681 | − | 0.682719i | \(-0.239203\pi\) |
0.389823 | + | 0.920890i | \(0.372536\pi\) | |||||||
\(180\) | 14.5623 | − | 25.2227i | 1.08541 | − | 1.87999i | ||||
\(181\) | 6.56231 | 0.487772 | 0.243886 | − | 0.969804i | \(-0.421578\pi\) | ||||
0.243886 | + | 0.969804i | \(0.421578\pi\) | |||||||
\(182\) | 25.4745 | + | 12.3686i | 1.88829 | + | 0.916820i | ||||
\(183\) | 20.9164 | − | 15.1967i | 1.54619 | − | 1.12337i | ||||
\(184\) | 25.6931 | − | 11.4393i | 1.89412 | − | 0.843317i | ||||
\(185\) | −12.1353 | + | 21.0189i | −0.892202 | + | 1.54534i | ||||
\(186\) | −6.51834 | − | 31.9358i | −0.477948 | − | 2.34165i | ||||
\(187\) | −3.09017 | −0.225976 | ||||||||
\(188\) | −4.29869 | + | 40.8993i | −0.313514 | + | 2.98289i | ||||
\(189\) | −6.12825 | − | 2.72847i | −0.445765 | − | 0.198467i | ||||
\(190\) | −14.5623 | − | 44.8182i | −1.05646 | − | 3.25145i | ||||
\(191\) | 6.92705 | + | 11.9980i | 0.501224 | + | 0.868145i | 0.999999 | + | 0.00141372i | \(0.000450001\pi\) |
−0.498775 | + | 0.866731i | \(0.666217\pi\) | |||||||
\(192\) | 9.73607 | − | 16.8634i | 0.702640 | − | 1.21701i | ||||
\(193\) | −17.1785 | − | 3.65141i | −1.23654 | − | 0.262834i | −0.457158 | − | 0.889386i | \(-0.651132\pi\) |
−0.779380 | + | 0.626552i | \(0.784466\pi\) | |||||||
\(194\) | −0.500000 | + | 1.53884i | −0.0358979 | + | 0.110482i | ||||
\(195\) | 24.1735 | + | 0.801025i | 1.73110 | + | 0.0573626i | ||||
\(196\) | −7.85410 | − | 5.70634i | −0.561007 | − | 0.407596i | ||||
\(197\) | 9.72697 | + | 2.06753i | 0.693018 | + | 0.147305i | 0.540938 | − | 0.841063i | \(-0.318070\pi\) |
0.152080 | + | 0.988368i | \(0.451403\pi\) | |||||||
\(198\) | −10.6960 | + | 4.76216i | −0.760130 | + | 0.338432i | ||||
\(199\) | 12.5740 | + | 5.59830i | 0.891346 | + | 0.396853i | 0.800724 | − | 0.599033i | \(-0.204448\pi\) |
0.0906211 | + | 0.995885i | \(0.471115\pi\) | |||||||
\(200\) | −9.23607 | + | 28.4257i | −0.653089 | + | 2.01000i | ||||
\(201\) | −24.9952 | − | 11.1286i | −1.76303 | − | 0.784950i | ||||
\(202\) | 31.5233 | + | 14.0351i | 2.21797 | + | 0.987505i | ||||
\(203\) | 5.20820 | − | 16.0292i | 0.365544 | − | 1.12503i | ||||
\(204\) | 13.7032 | + | 6.10105i | 0.959415 | + | 0.427159i | ||||
\(205\) | −20.0786 | + | 8.93955i | −1.40235 | + | 0.624365i | ||||
\(206\) | 35.7088 | + | 7.59014i | 2.48795 | + | 0.528830i | ||||
\(207\) | 6.09017 | + | 4.42477i | 0.423296 | + | 0.307543i | ||||
\(208\) | 35.5100 | + | 1.17668i | 2.46217 | + | 0.0815878i | ||||
\(209\) | −4.14590 | + | 12.7598i | −0.286778 | + | 0.882611i | ||||
\(210\) | −51.5356 | − | 10.9542i | −3.55629 | − | 0.755913i | ||||
\(211\) | −6.64590 | + | 11.5110i | −0.457522 | + | 0.792452i | −0.998829 | − | 0.0483729i | \(-0.984596\pi\) |
0.541307 | + | 0.840825i | \(0.317930\pi\) | |||||||
\(212\) | 0.927051 | + | 1.60570i | 0.0636701 | + | 0.110280i | ||||
\(213\) | 3.12868 | + | 9.62908i | 0.214373 | + | 0.659774i | ||||
\(214\) | 16.5262 | + | 7.35793i | 1.12971 | + | 0.502978i | ||||
\(215\) | −2.02957 | + | 19.3100i | −0.138415 | + | 1.31693i | ||||
\(216\) | −16.7082 | −1.13685 | ||||||||
\(217\) | −14.5326 | + | 8.23424i | −0.986539 | + | 0.558977i | ||||
\(218\) | 10.5902 | − | 18.3427i | 0.717257 | − | 1.24233i | ||||
\(219\) | 14.1854 | − | 6.31575i | 0.958561 | − | 0.426779i | ||||
\(220\) | 26.3435 | − | 19.1396i | 1.77608 | − | 1.29039i | ||||
\(221\) | 0.356437 | + | 4.96998i | 0.0239766 | + | 0.334317i | ||||
\(222\) | −47.3607 | −3.17864 | ||||||||
\(223\) | 3.59017 | − | 6.21836i | 0.240416 | − | 0.416412i | −0.720417 | − | 0.693541i | \(-0.756050\pi\) |
0.960833 | + | 0.277129i | \(0.0893830\pi\) | |||||||
\(224\) | −31.8507 | − | 6.77008i | −2.12812 | − | 0.452345i | ||||
\(225\) | −7.82518 | + | 1.66329i | −0.521679 | + | 0.110886i | ||||
\(226\) | −11.1631 | + | 34.3565i | −0.742560 | + | 2.28536i | ||||
\(227\) | −1.02061 | + | 9.71044i | −0.0677402 | + | 0.644505i | 0.906995 | + | 0.421141i | \(0.138370\pi\) |
−0.974735 | + | 0.223363i | \(0.928296\pi\) | |||||||
\(228\) | 43.5769 | − | 48.3970i | 2.88595 | − | 3.20517i | ||||
\(229\) | 1.14590 | + | 0.832544i | 0.0757231 | + | 0.0550160i | 0.625003 | − | 0.780623i | \(-0.285098\pi\) |
−0.549280 | + | 0.835639i | \(0.685098\pi\) | |||||||
\(230\) | −27.0065 | − | 12.0241i | −1.78076 | − | 0.792844i | ||||
\(231\) | 10.0370 | + | 11.1472i | 0.660383 | + | 0.733430i | ||||
\(232\) | −4.38797 | − | 41.7487i | −0.288084 | − | 2.74094i | ||||
\(233\) | 11.8262 | − | 8.59226i | 0.774763 | − | 0.562898i | −0.128640 | − | 0.991691i | \(-0.541061\pi\) |
0.903403 | + | 0.428793i | \(0.141061\pi\) | |||||||
\(234\) | 8.89281 | + | 16.6533i | 0.581341 | + | 1.08866i | ||||
\(235\) | 20.5623 | − | 14.9394i | 1.34134 | − | 0.974538i | ||||
\(236\) | 29.9943 | − | 13.3543i | 1.95246 | − | 0.869291i | ||||
\(237\) | −35.9060 | − | 7.63206i | −2.33235 | − | 0.495756i | ||||
\(238\) | 1.13456 | − | 10.7946i | 0.0735428 | − | 0.699713i | ||||
\(239\) | 0.281153 | − | 0.865300i | 0.0181863 | − | 0.0559716i | −0.941552 | − | 0.336869i | \(-0.890632\pi\) |
0.959738 | + | 0.280897i | \(0.0906321\pi\) | |||||||
\(240\) | −64.6588 | + | 13.7437i | −4.17371 | + | 0.887149i | ||||
\(241\) | −8.44311 | + | 9.37703i | −0.543869 | + | 0.604027i | −0.950942 | − | 0.309368i | \(-0.899883\pi\) |
0.407074 | + | 0.913395i | \(0.366549\pi\) | |||||||
\(242\) | 15.7082 | 1.00976 | ||||||||
\(243\) | −8.94427 | − | 15.4919i | −0.573775 | − | 0.993808i | ||||
\(244\) | −54.8982 | − | 11.6690i | −3.51449 | − | 0.747029i | ||||
\(245\) | 0.627171 | + | 5.96713i | 0.0400685 | + | 0.381226i | ||||
\(246\) | −34.6976 | − | 25.2093i | −2.21224 | − | 1.60728i | ||||
\(247\) | 21.0000 | + | 5.19615i | 1.33620 | + | 0.330623i | ||||
\(248\) | −24.7254 | + | 33.4585i | −1.57007 | + | 2.12462i | ||||
\(249\) | 13.3541 | − | 23.1300i | 0.846282 | − | 1.46580i | ||||
\(250\) | −7.17508 | + | 3.19455i | −0.453792 | + | 0.202041i | ||||
\(251\) | −11.2606 | − | 5.01353i | −0.710761 | − | 0.316451i | 0.0193183 | − | 0.999813i | \(-0.493850\pi\) |
−0.730080 | + | 0.683362i | \(0.760517\pi\) | |||||||
\(252\) | −9.00000 | − | 27.6992i | −0.566947 | − | 1.74488i | ||||
\(253\) | 4.20820 | + | 7.28882i | 0.264568 | + | 0.458244i | ||||
\(254\) | −17.4443 | − | 30.2144i | −1.09455 | − | 1.89582i | ||||
\(255\) | −2.86475 | − | 8.81678i | −0.179397 | − | 0.552128i | ||||
\(256\) | 14.2441 | − | 3.02767i | 0.890255 | − | 0.189230i | ||||
\(257\) | 13.6009 | + | 15.1053i | 0.848401 | + | 0.942245i | 0.998925 | − | 0.0463613i | \(-0.0147626\pi\) |
−0.150523 | + | 0.988606i | \(0.548096\pi\) | |||||||
\(258\) | −34.6129 | + | 15.4107i | −2.15491 | + | 0.959426i | ||||
\(259\) | 7.50000 | + | 23.0826i | 0.466027 | + | 1.43428i | ||||
\(260\) | −33.8213 | − | 40.1611i | −2.09751 | − | 2.49068i | ||||
\(261\) | 9.09017 | − | 6.60440i | 0.562667 | − | 0.408802i | ||||
\(262\) | 15.0971 | + | 16.7671i | 0.932704 | + | 1.03587i | ||||
\(263\) | 3.04075 | + | 28.9308i | 0.187501 | + | 1.78395i | 0.533585 | + | 0.845747i | \(0.320845\pi\) |
−0.346084 | + | 0.938204i | \(0.612489\pi\) | |||||||
\(264\) | 34.1307 | + | 15.1960i | 2.10060 | + | 0.935247i | ||||
\(265\) | 0.354102 | − | 1.08981i | 0.0217523 | − | 0.0669467i | ||||
\(266\) | −43.0505 | − | 19.1673i | −2.63959 | − | 1.17522i | ||||
\(267\) | −0.433364 | + | 4.12319i | −0.0265215 | + | 0.252335i | ||||
\(268\) | 18.3541 | + | 56.4881i | 1.12116 | + | 3.45056i | ||||
\(269\) | 0.442790 | − | 4.21286i | 0.0269974 | − | 0.256863i | −0.972696 | − | 0.232085i | \(-0.925445\pi\) |
0.999693 | − | 0.0247782i | \(-0.00788795\pi\) | |||||||
\(270\) | 11.7515 | + | 13.0513i | 0.715172 | + | 0.794279i | ||||
\(271\) | −0.534216 | − | 0.593307i | −0.0324513 | − | 0.0360409i | 0.726701 | − | 0.686954i | \(-0.241053\pi\) |
−0.759152 | + | 0.650913i | \(0.774386\pi\) | |||||||
\(272\) | −4.20820 | − | 12.9515i | −0.255160 | − | 0.785301i | ||||
\(273\) | 16.7705 | − | 17.4284i | 1.01500 | − | 1.05482i | ||||
\(274\) | 32.7984 | 1.98142 | ||||||||
\(275\) | −8.74882 | − | 1.85962i | −0.527574 | − | 0.112139i | ||||
\(276\) | −4.27042 | − | 40.6303i | −0.257049 | − | 2.44566i | ||||
\(277\) | −0.172731 | + | 1.64342i | −0.0103784 | + | 0.0987437i | −0.998485 | − | 0.0550277i | \(-0.982475\pi\) |
0.988106 | + | 0.153771i | \(0.0491420\pi\) | |||||||
\(278\) | 56.8328 | 3.40861 | ||||||||
\(279\) | −11.0647 | − | 1.25362i | −0.662429 | − | 0.0750521i | ||||
\(280\) | 33.6246 | + | 58.2395i | 2.00945 | + | 3.48048i | ||||
\(281\) | −1.80902 | − | 1.31433i | −0.107917 | − | 0.0784062i | 0.532518 | − | 0.846419i | \(-0.321246\pi\) |
−0.640435 | + | 0.768012i | \(0.721246\pi\) | |||||||
\(282\) | 45.3089 | + | 20.1728i | 2.69810 | + | 1.20127i | ||||
\(283\) | 23.2783 | + | 4.94796i | 1.38375 | + | 0.294126i | 0.838845 | − | 0.544370i | \(-0.183231\pi\) |
0.544908 | + | 0.838496i | \(0.316565\pi\) | |||||||
\(284\) | 10.9894 | − | 19.0341i | 0.652098 | − | 1.12947i | ||||
\(285\) | −40.2492 | −2.38416 | ||||||||
\(286\) | 1.50989 | + | 21.0532i | 0.0892818 | + | 1.24490i | ||||
\(287\) | −6.79180 | + | 20.9030i | −0.400907 | + | 1.23387i | ||||
\(288\) | −14.5256 | − | 16.1323i | −0.855931 | − | 0.950607i | ||||
\(289\) | −13.7856 | + | 6.13773i | −0.810915 | + | 0.361043i | ||||
\(290\) | −29.5251 | + | 32.7910i | −1.73378 | + | 1.92555i | ||||
\(291\) | 1.11803 | + | 0.812299i | 0.0655403 | + | 0.0476178i | ||||
\(292\) | −30.7940 | − | 13.7104i | −1.80208 | − | 0.802338i | ||||
\(293\) | −27.7409 | + | 5.89652i | −1.62064 | + | 0.344478i | −0.926773 | − | 0.375622i | \(-0.877429\pi\) |
−0.693870 | + | 0.720101i | \(0.744096\pi\) | |||||||
\(294\) | −9.47214 | + | 6.88191i | −0.552426 | + | 0.401361i | ||||
\(295\) | −18.5375 | − | 8.25342i | −1.07929 | − | 0.480533i | ||||
\(296\) | 40.4495 | + | 44.9237i | 2.35108 | + | 2.61114i | ||||
\(297\) | −0.522642 | − | 4.97261i | −0.0303268 | − | 0.288540i | ||||
\(298\) | 6.35410 | + | 4.61653i | 0.368083 | + | 0.267428i | ||||
\(299\) | 11.2374 | − | 7.60887i | 0.649874 | − | 0.440033i | ||||
\(300\) | 35.1246 | + | 25.5195i | 2.02792 | + | 1.47337i | ||||
\(301\) | 12.9921 | + | 14.4292i | 0.748853 | + | 0.831685i | ||||
\(302\) | −7.51840 | − | 8.35003i | −0.432635 | − | 0.480490i | ||||
\(303\) | 19.7207 | − | 21.9021i | 1.13293 | − | 1.25824i | ||||
\(304\) | −59.1246 | −3.39103 | ||||||||
\(305\) | 17.3435 | + | 30.0398i | 0.993084 | + | 1.72007i | ||||
\(306\) | 4.84187 | − | 5.37745i | 0.276792 | − | 0.307408i | ||||
\(307\) | −3.80902 | + | 2.76741i | −0.217392 | + | 0.157945i | −0.691152 | − | 0.722709i | \(-0.742896\pi\) |
0.473760 | + | 0.880654i | \(0.342896\pi\) | |||||||
\(308\) | 3.40369 | − | 32.3839i | 0.193943 | − | 1.84525i | ||||
\(309\) | 15.5902 | − | 27.0030i | 0.886894 | − | 1.53615i | ||||
\(310\) | 43.5258 | − | 4.21870i | 2.47210 | − | 0.239606i | ||||
\(311\) | −25.0689 | −1.42153 | −0.710763 | − | 0.703432i | \(-0.751650\pi\) | ||||
−0.710763 | + | 0.703432i | \(0.751650\pi\) | |||||||
\(312\) | 20.5032 | − | 56.6459i | 1.16076 | − | 3.20694i | ||||
\(313\) | 12.7082 | − | 9.23305i | 0.718310 | − | 0.521883i | −0.167534 | − | 0.985866i | \(-0.553580\pi\) |
0.885844 | + | 0.463983i | \(0.153580\pi\) | |||||||
\(314\) | 43.2486 | + | 9.19277i | 2.44066 | + | 0.518778i | ||||
\(315\) | −9.00000 | + | 15.5885i | −0.507093 | + | 0.878310i | ||||
\(316\) | 39.8435 | + | 69.0109i | 2.24137 | + | 3.88217i | ||||
\(317\) | −6.57295 | − | 20.2295i | −0.369174 | − | 1.13620i | −0.947326 | − | 0.320271i | \(-0.896226\pi\) |
0.578152 | − | 0.815929i | \(-0.303774\pi\) | |||||||
\(318\) | 2.18720 | − | 0.464905i | 0.122652 | − | 0.0260706i | ||||
\(319\) | 12.2878 | − | 2.61185i | 0.687984 | − | 0.146236i | ||||
\(320\) | 21.1353 | + | 15.3557i | 1.18150 | + | 0.858408i | ||||
\(321\) | 10.3386 | − | 11.4822i | 0.577046 | − | 0.640875i | ||||
\(322\) | −27.0065 | + | 12.0241i | −1.50501 | + | 0.670075i | ||||
\(323\) | −0.866729 | − | 8.24637i | −0.0482261 | − | 0.458840i | ||||
\(324\) | −16.5000 | + | 50.7818i | −0.916667 | + | 2.82121i | ||||
\(325\) | −1.98173 | + | 14.2854i | −0.109926 | + | 0.792412i | ||||
\(326\) | 10.4721 | − | 7.60845i | 0.579998 | − | 0.421393i | ||||
\(327\) | −12.1047 | − | 13.4436i | −0.669391 | − | 0.743434i | ||||
\(328\) | 5.72216 | + | 54.4428i | 0.315954 | + | 3.00610i | ||||
\(329\) | 2.65674 | − | 25.2772i | 0.146471 | − | 1.39358i | ||||
\(330\) | −12.1353 | − | 37.3485i | −0.668024 | − | 2.05597i | ||||
\(331\) | 1.98022 | − | 18.8405i | 0.108842 | − | 1.03557i | −0.794681 | − | 0.607028i | \(-0.792362\pi\) |
0.903523 | − | 0.428539i | \(-0.140972\pi\) | |||||||
\(332\) | −56.7117 | + | 12.0545i | −3.11246 | + | 0.661574i | ||||
\(333\) | −5.00000 | + | 15.3884i | −0.273998 | + | 0.843280i | ||||
\(334\) | 14.3304 | − | 15.9155i | 0.784123 | − | 0.870857i | ||||
\(335\) | 18.3541 | − | 31.7902i | 1.00279 | − | 1.73689i | ||||
\(336\) | −33.0517 | + | 57.2472i | −1.80312 | + | 3.12309i | ||||
\(337\) | −0.937694 | − | 2.88593i | −0.0510795 | − | 0.157206i | 0.922263 | − | 0.386563i | \(-0.126338\pi\) |
−0.973342 | + | 0.229357i | \(0.926338\pi\) | |||||||
\(338\) | 33.6861 | − | 4.85678i | 1.83228 | − | 0.264174i | ||||
\(339\) | 24.9615 | + | 18.1356i | 1.35572 | + | 0.984990i | ||||
\(340\) | −10.0623 | + | 17.4284i | −0.545705 | + | 0.945189i | ||||
\(341\) | −10.7312 | − | 6.31205i | −0.581125 | − | 0.341817i | ||||
\(342\) | −15.7082 | − | 27.2074i | −0.849402 | − | 1.47121i | ||||
\(343\) | −12.1353 | − | 8.81678i | −0.655242 | − | 0.476061i | ||||
\(344\) | 44.1797 | + | 19.6701i | 2.38201 | + | 1.06054i | ||||
\(345\) | −16.8950 | + | 18.7638i | −0.909598 | + | 1.01021i | ||||
\(346\) | −30.2705 | −1.62735 | ||||||||
\(347\) | 10.3262 | + | 17.8856i | 0.554341 | + | 0.960148i | 0.997954 | + | 0.0639292i | \(0.0203632\pi\) |
−0.443613 | + | 0.896218i | \(0.646303\pi\) | |||||||
\(348\) | −59.6462 | − | 12.6782i | −3.19737 | − | 0.679622i | ||||
\(349\) | −6.65402 | − | 7.39003i | −0.356181 | − | 0.395579i | 0.538250 | − | 0.842785i | \(-0.319086\pi\) |
−0.894431 | + | 0.447206i | \(0.852419\pi\) | |||||||
\(350\) | 9.70820 | − | 29.8788i | 0.518925 | − | 1.59709i | ||||
\(351\) | −7.93727 | + | 1.41414i | −0.423660 | + | 0.0754815i | ||||
\(352\) | −7.50000 | − | 23.0826i | −0.399751 | − | 1.23031i | ||||
\(353\) | 4.51682 | − | 2.01102i | 0.240406 | − | 0.107036i | −0.282997 | − | 0.959121i | \(-0.591329\pi\) |
0.523403 | + | 0.852085i | \(0.324662\pi\) | |||||||
\(354\) | −4.13899 | − | 39.3798i | −0.219985 | − | 2.09301i | ||||
\(355\) | −13.2868 | + | 2.82419i | −0.705188 | + | 0.149892i | ||||
\(356\) | 7.28115 | − | 5.29007i | 0.385900 | − | 0.280373i | ||||
\(357\) | −8.46903 | − | 3.77066i | −0.448229 | − | 0.199564i | ||||
\(358\) | −39.2478 | + | 8.34238i | −2.07431 | + | 0.440908i | ||||
\(359\) | −7.07295 | + | 5.13880i | −0.373296 | + | 0.271215i | −0.758576 | − | 0.651584i | \(-0.774105\pi\) |
0.385280 | + | 0.922800i | \(0.374105\pi\) | |||||||
\(360\) | −4.68631 | + | 44.5872i | −0.246990 | + | 2.34995i | ||||
\(361\) | −16.6285 | − | 3.53450i | −0.875185 | − | 0.186026i | ||||
\(362\) | −15.6950 | + | 6.98787i | −0.824912 | + | 0.367274i | ||||
\(363\) | 4.14590 | − | 12.7598i | 0.217603 | − | 0.669714i | ||||
\(364\) | −52.4763 | − | 1.73888i | −2.75051 | − | 0.0911421i | ||||
\(365\) | 6.43769 | + | 19.8132i | 0.336964 | + | 1.03707i | ||||
\(366\) | −33.8435 | + | 58.6186i | −1.76903 | + | 3.06404i | ||||
\(367\) | 2.50000 | − | 4.33013i | 0.130499 | − | 0.226031i | −0.793370 | − | 0.608740i | \(-0.791675\pi\) |
0.923869 | + | 0.382709i | \(0.125009\pi\) | |||||||
\(368\) | −24.8182 | + | 27.5634i | −1.29374 | + | 1.43684i | ||||
\(369\) | −11.8541 | + | 8.61251i | −0.617100 | + | 0.448349i | ||||
\(370\) | 6.64185 | − | 63.1929i | 0.345293 | − | 3.28524i | ||||
\(371\) | −0.572949 | − | 0.992377i | −0.0297460 | − | 0.0515216i | ||||
\(372\) | 35.1246 | + | 49.1774i | 1.82113 | + | 2.54973i | ||||
\(373\) | −5.70820 | − | 9.88690i | −0.295560 | − | 0.511924i | 0.679555 | − | 0.733624i | \(-0.262173\pi\) |
−0.975115 | + | 0.221700i | \(0.928839\pi\) | |||||||
\(374\) | 7.39074 | − | 3.29057i | 0.382166 | − | 0.170151i | ||||
\(375\) | 0.701198 | + | 6.67146i | 0.0362097 | + | 0.344512i | ||||
\(376\) | −19.5623 | − | 60.2066i | −1.00885 | − | 3.10492i | ||||
\(377\) | −5.61803 | − | 19.4614i | −0.289343 | − | 1.00232i | ||||
\(378\) | 17.5623 | 0.903308 | ||||||||
\(379\) | 4.74803 | + | 1.00922i | 0.243890 | + | 0.0518404i | 0.328235 | − | 0.944596i | \(-0.393546\pi\) |
−0.0843447 | + | 0.996437i | \(0.526880\pi\) | |||||||
\(380\) | 58.4645 | + | 64.9314i | 2.99917 | + | 3.33091i | ||||
\(381\) | −29.1472 | + | 6.19543i | −1.49326 | + | 0.317402i | ||||
\(382\) | −29.3435 | − | 21.3193i | −1.50134 | − | 1.09079i | ||||
\(383\) | 0.255585 | − | 0.283856i | 0.0130598 | − | 0.0145044i | −0.736580 | − | 0.676351i | \(-0.763560\pi\) |
0.749639 | + | 0.661847i | \(0.230227\pi\) | |||||||
\(384\) | −0.254808 | + | 2.42434i | −0.0130031 | + | 0.123717i | ||||
\(385\) | −16.2812 | + | 11.8290i | −0.829764 | + | 0.602859i | ||||
\(386\) | 44.9740 | − | 9.55951i | 2.28911 | − | 0.486566i | ||||
\(387\) | 1.35304 | + | 12.8734i | 0.0687791 | + | 0.654390i | ||||
\(388\) | −0.313585 | − | 2.98357i | −0.0159199 | − | 0.151468i | ||||
\(389\) | 4.79180 | − | 14.7476i | 0.242954 | − | 0.747735i | −0.753013 | − | 0.658006i | \(-0.771400\pi\) |
0.995966 | − | 0.0897285i | \(-0.0285999\pi\) | |||||||
\(390\) | −58.6686 | + | 23.8254i | −2.97080 | + | 1.20644i | ||||
\(391\) | −4.20820 | − | 3.05744i | −0.212818 | − | 0.154621i | ||||
\(392\) | 14.6177 | + | 3.10709i | 0.738306 | + | 0.156932i | ||||
\(393\) | 17.6045 | − | 7.83802i | 0.888029 | − | 0.395376i | ||||
\(394\) | −25.4655 | + | 5.41286i | −1.28293 | + | 0.272696i | ||||
\(395\) | 15.2188 | − | 46.8388i | 0.765743 | − | 2.35672i | ||||
\(396\) | 14.5256 | − | 16.1323i | 0.729940 | − | 0.810681i | ||||
\(397\) | 0.135255 | + | 0.234268i | 0.00678825 | + | 0.0117576i | 0.869400 | − | 0.494110i | \(-0.164506\pi\) |
−0.862611 | + | 0.505867i | \(0.831173\pi\) | |||||||
\(398\) | −36.0344 | −1.80624 | ||||||||
\(399\) | −26.9320 | + | 29.9110i | −1.34829 | + | 1.49742i | ||||
\(400\) | −4.12014 | − | 39.2005i | −0.206007 | − | 1.96002i | ||||
\(401\) | 7.73968 | − | 3.44593i | 0.386501 | − | 0.172081i | −0.204281 | − | 0.978912i | \(-0.565486\pi\) |
0.590783 | + | 0.806831i | \(0.298819\pi\) | |||||||
\(402\) | 71.6312 | 3.57264 | ||||||||
\(403\) | −8.91401 | + | 17.9872i | −0.444039 | + | 0.896008i | ||||
\(404\) | −63.9787 | −3.18306 | ||||||||
\(405\) | 30.1470 | − | 13.4223i | 1.49802 | − | 0.666960i | ||||
\(406\) | 4.61228 | + | 43.8829i | 0.228904 | + | 2.17787i | ||||
\(407\) | −12.1047 | + | 13.4436i | −0.600007 | + | 0.666375i | ||||
\(408\) | −23.0902 | −1.14313 | ||||||||
\(409\) | 4.01722 | + | 6.95803i | 0.198639 | + | 0.344052i | 0.948087 | − | 0.318010i | \(-0.103015\pi\) |
−0.749449 | + | 0.662063i | \(0.769681\pi\) | |||||||
\(410\) | 38.5025 | − | 42.7613i | 1.90150 | − | 2.11183i | ||||
\(411\) | 8.65654 | − | 26.6421i | 0.426996 | − | 1.31416i | ||||
\(412\) | −66.2078 | + | 14.0729i | −3.26182 | + | 0.693322i | ||||
\(413\) | −18.5375 | + | 8.25342i | −0.912170 | + | 0.406124i | ||||
\(414\) | −19.2775 | − | 4.09757i | −0.947439 | − | 0.201384i | ||||
\(415\) | 28.9894 | + | 21.0620i | 1.42303 | + | 1.03389i | ||||
\(416\) | −36.2592 | + | 14.7249i | −1.77775 | + | 0.721947i | ||||
\(417\) | 15.0000 | − | 46.1653i | 0.734553 | − | 2.26072i | ||||
\(418\) | −3.67152 | − | 34.9322i | −0.179580 | − | 1.70859i | ||||
\(419\) | 1.59620 | + | 15.1869i | 0.0779796 | + | 0.741926i | 0.961736 | + | 0.273979i | \(0.0883398\pi\) |
−0.883756 | + | 0.467948i | \(0.844994\pi\) | |||||||
\(420\) | 95.5522 | − | 20.3103i | 4.66247 | − | 0.991039i | ||||
\(421\) | 13.8262 | − | 10.0453i | 0.673850 | − | 0.489580i | −0.197462 | − | 0.980311i | \(-0.563270\pi\) |
0.871312 | + | 0.490730i | \(0.163270\pi\) | |||||||
\(422\) | 3.63742 | − | 34.6077i | 0.177067 | − | 1.68468i | ||||
\(423\) | 11.3379 | − | 12.5920i | 0.551269 | − | 0.612246i | ||||
\(424\) | −2.30902 | − | 1.67760i | −0.112136 | − | 0.0814714i | ||||
\(425\) | 5.40707 | − | 1.14931i | 0.262281 | − | 0.0557496i | ||||
\(426\) | −17.7364 | − | 19.6982i | −0.859330 | − | 0.954382i | ||||
\(427\) | 33.9289 | + | 7.21182i | 1.64194 | + | 0.349004i | ||||
\(428\) | −33.5410 | −1.62127 | ||||||||
\(429\) | 17.5000 | + | 4.33013i | 0.844908 | + | 0.209061i | ||||
\(430\) | −15.7082 | − | 48.3449i | −0.757517 | − | 2.33140i | ||||
\(431\) | −1.84519 | − | 17.5558i | −0.0888795 | − | 0.845632i | −0.944607 | − | 0.328205i | \(-0.893556\pi\) |
0.855727 | − | 0.517427i | \(-0.173110\pi\) | |||||||
\(432\) | 20.1295 | − | 8.96221i | 0.968479 | − | 0.431195i | ||||
\(433\) | −8.64590 | − | 14.9751i | −0.415495 | − | 0.719659i | 0.579985 | − | 0.814627i | \(-0.303058\pi\) |
−0.995480 | + | 0.0949681i | \(0.969725\pi\) | |||||||
\(434\) | 25.9894 | − | 35.1688i | 1.24753 | − | 1.68816i | ||||
\(435\) | 18.8435 | + | 32.6378i | 0.903475 | + | 1.56486i | ||||
\(436\) | −4.10489 | + | 39.0554i | −0.196588 | + | 1.87041i | ||||
\(437\) | −18.2705 | + | 13.2743i | −0.873997 | + | 0.634996i | ||||
\(438\) | −27.2018 | + | 30.2107i | −1.29975 | + | 1.44352i | ||||
\(439\) | −8.02786 | + | 13.9047i | −0.383149 | + | 0.663634i | −0.991511 | − | 0.130026i | \(-0.958494\pi\) |
0.608361 | + | 0.793660i | \(0.291827\pi\) | |||||||
\(440\) | −25.0623 | + | 43.4092i | −1.19480 | + | 2.06945i | ||||
\(441\) | 1.23607 | + | 3.80423i | 0.0588604 | + | 0.181154i | ||||
\(442\) | −6.14478 | − | 11.5071i | −0.292277 | − | 0.547338i | ||||
\(443\) | −7.36475 | + | 22.6664i | −0.349910 | + | 1.07691i | 0.608993 | + | 0.793176i | \(0.291574\pi\) |
−0.958903 | + | 0.283735i | \(0.908426\pi\) | |||||||
\(444\) | 80.2198 | − | 35.7162i | 3.80706 | − | 1.69501i | ||||
\(445\) | −5.44076 | − | 1.15647i | −0.257917 | − | 0.0548219i | ||||
\(446\) | −1.96497 | + | 18.6954i | −0.0930438 | + | 0.885253i | ||||
\(447\) | 5.42705 | − | 3.94298i | 0.256691 | − | 0.186497i | ||||
\(448\) | 25.5537 | − | 5.43161i | 1.20730 | − | 0.256620i | ||||
\(449\) | 8.22191 | + | 3.66063i | 0.388016 | + | 0.172756i | 0.591467 | − | 0.806329i | \(-0.298549\pi\) |
−0.203451 | + | 0.979085i | \(0.565216\pi\) | |||||||
\(450\) | 16.9443 | − | 12.3107i | 0.798761 | − | 0.580334i | ||||
\(451\) | −16.0240 | + | 3.40600i | −0.754540 | + | 0.160382i | ||||
\(452\) | −7.00118 | − | 66.6118i | −0.329308 | − | 3.13316i | ||||
\(453\) | −8.76707 | + | 3.90335i | −0.411913 | + | 0.183395i | ||||
\(454\) | −7.89919 | − | 24.3112i | −0.370727 | − | 1.14098i | ||||
\(455\) | 20.9027 | + | 24.8209i | 0.979934 | + | 1.16362i | ||||
\(456\) | −30.9787 | + | 95.3427i | −1.45071 | + | 4.46483i | ||||
\(457\) | −0.706420 | − | 0.784559i | −0.0330449 | − | 0.0367001i | 0.726396 | − | 0.687277i | \(-0.241194\pi\) |
−0.759441 | + | 0.650577i | \(0.774527\pi\) | |||||||
\(458\) | −3.62717 | − | 0.770979i | −0.169487 | − | 0.0360255i | ||||
\(459\) | 1.54508 | + | 2.67617i | 0.0721184 | + | 0.124913i | ||||
\(460\) | 54.8115 | 2.55560 | ||||||||
\(461\) | −10.6315 | + | 11.8075i | −0.495159 | + | 0.549930i | −0.937984 | − | 0.346678i | \(-0.887310\pi\) |
0.442825 | + | 0.896608i | \(0.353976\pi\) | |||||||
\(462\) | −35.8754 | − | 15.9728i | −1.66907 | − | 0.743120i | ||||
\(463\) | 4.28115 | + | 3.11044i | 0.198962 | + | 0.144554i | 0.682806 | − | 0.730600i | \(-0.260760\pi\) |
−0.483844 | + | 0.875155i | \(0.660760\pi\) | |||||||
\(464\) | 27.6803 | + | 47.9438i | 1.28503 | + | 2.22573i | ||||
\(465\) | 8.06101 | − | 36.4694i | 0.373821 | − | 1.69123i | ||||
\(466\) | −19.1353 | + | 33.1432i | −0.886424 | + | 1.53533i | ||||
\(467\) | −33.6697 | − | 24.4625i | −1.55805 | − | 1.13199i | −0.937587 | − | 0.347750i | \(-0.886946\pi\) |
−0.620461 | − | 0.784238i | \(-0.713054\pi\) | |||||||
\(468\) | −27.6214 | − | 21.5011i | −1.27680 | − | 0.993887i | ||||
\(469\) | −11.3435 | − | 34.9116i | −0.523792 | − | 1.61207i | ||||
\(470\) | −33.2705 | + | 57.6262i | −1.53465 | + | 2.65810i | ||||
\(471\) | 18.8820 | − | 32.7045i | 0.870035 | − | 1.50694i | ||||
\(472\) | −33.8185 | + | 37.5593i | −1.55662 | + | 1.72881i | ||||
\(473\) | −4.47214 | + | 13.7638i | −0.205629 | + | 0.632861i | ||||
\(474\) | 94.0032 | − | 19.9810i | 4.31771 | − | 0.917758i | ||||
\(475\) | 2.50868 | − | 23.8685i | 0.115106 | − | 1.09516i | ||||
\(476\) | 6.21885 | + | 19.1396i | 0.285040 | + | 0.877264i | ||||
\(477\) | 0.0798526 | − | 0.759747i | 0.00365620 | − | 0.0347864i | ||||
\(478\) | 0.248983 | + | 2.36892i | 0.0113882 | + | 0.108352i | ||||
\(479\) | 1.45893 | + | 1.62031i | 0.0666603 | + | 0.0740338i | 0.775552 | − | 0.631283i | \(-0.217471\pi\) |
−0.708892 | + | 0.705317i | \(0.750805\pi\) | |||||||
\(480\) | 58.9058 | − | 42.7975i | 2.68867 | − | 1.95343i | ||||
\(481\) | 23.0179 | + | 17.9176i | 1.04952 | + | 0.816970i | ||||
\(482\) | 10.2082 | − | 31.4176i | 0.464971 | − | 1.43103i | ||||
\(483\) | 2.63926 | + | 25.1109i | 0.120091 | + | 1.14259i | ||||
\(484\) | −26.6067 | + | 11.8460i | −1.20939 | + | 0.538457i | ||||
\(485\) | −1.24064 | + | 1.37787i | −0.0563344 | + | 0.0625657i | ||||
\(486\) | 37.8885 | + | 27.5276i | 1.71866 | + | 1.24868i | ||||
\(487\) | 1.61637 | − | 0.343569i | 0.0732445 | − | 0.0155686i | −0.171144 | − | 0.985246i | \(-0.554746\pi\) |
0.244388 | + | 0.969677i | \(0.421413\pi\) | |||||||
\(488\) | 84.5072 | − | 17.9626i | 3.82546 | − | 0.813127i | ||||
\(489\) | −3.41641 | − | 10.5146i | −0.154495 | − | 0.475488i | ||||
\(490\) | −7.85410 | − | 13.6037i | −0.354812 | − | 0.614553i | ||||
\(491\) | 12.1074 | − | 20.9706i | 0.546399 | − | 0.946391i | −0.452119 | − | 0.891958i | \(-0.649332\pi\) |
0.998517 | − | 0.0544328i | \(-0.0173351\pi\) | |||||||
\(492\) | 77.7820 | + | 16.5331i | 3.50669 | + | 0.745369i | ||||
\(493\) | −6.28115 | + | 4.56352i | −0.282889 | + | 0.205531i | ||||
\(494\) | −55.7587 | + | 9.93426i | −2.50870 | + | 0.446963i | ||||
\(495\) | −13.4164 | −0.603023 | ||||||||
\(496\) | 11.8413 | − | 53.5723i | 0.531691 | − | 2.40547i | ||||
\(497\) | −6.79180 | + | 11.7637i | −0.304654 | + | 0.527676i | ||||
\(498\) | −7.30894 | + | 69.5399i | −0.327522 | + | 3.11616i | ||||
\(499\) | 10.3820 | − | 7.54294i | 0.464761 | − | 0.337668i | −0.330635 | − | 0.943759i | \(-0.607263\pi\) |
0.795396 | + | 0.606090i | \(0.207263\pi\) | |||||||
\(500\) | 9.74408 | − | 10.8219i | 0.435769 | − | 0.483970i | ||||
\(501\) | −9.14590 | − | 15.8412i | −0.408609 | − | 0.707731i | ||||
\(502\) | 32.2705 | 1.44030 | ||||||||
\(503\) | 18.3824 | − | 20.4158i | 0.819633 | − | 0.910294i | −0.177640 | − | 0.984096i | \(-0.556846\pi\) |
0.997273 | + | 0.0738011i | \(0.0235130\pi\) | |||||||
\(504\) | 29.9990 | + | 33.3173i | 1.33626 | + | 1.48407i | ||||
\(505\) | 26.4581 | + | 29.3847i | 1.17737 | + | 1.30760i | ||||
\(506\) | −17.8262 | − | 12.9515i | −0.792473 | − | 0.575765i | ||||
\(507\) | 4.94569 | − | 28.6451i | 0.219646 | − | 1.27217i | ||||
\(508\) | 52.3328 | + | 38.0220i | 2.32189 | + | 1.68695i | ||||
\(509\) | 3.61634 | + | 34.4072i | 0.160292 | + | 1.52507i | 0.718591 | + | 0.695433i | \(0.244788\pi\) |
−0.558299 | + | 0.829640i | \(0.688546\pi\) | |||||||
\(510\) | 16.2401 | + | 18.0365i | 0.719126 | + | 0.798670i | ||||
\(511\) | 19.0317 | + | 8.47347i | 0.841914 | + | 0.374844i | ||||
\(512\) | −32.6074 | + | 23.6907i | −1.44106 | + | 1.04699i | ||||
\(513\) | 13.1232 | − | 2.78943i | 0.579405 | − | 0.123156i | ||||
\(514\) | −48.6141 | − | 21.6444i | −2.14428 | − | 0.954694i | ||||
\(515\) | 33.8435 | + | 24.5887i | 1.49132 | + | 1.08351i | ||||
\(516\) | 47.0059 | − | 52.2053i | 2.06932 | − | 2.29821i | ||||
\(517\) | 17.3065 | − | 7.70533i | 0.761137 | − | 0.338880i | ||||
\(518\) | −42.5172 | − | 47.2202i | −1.86810 | − | 2.07474i | ||||
\(519\) | −7.98936 | + | 24.5887i | −0.350694 | + | 1.07932i | ||||
\(520\) | 72.7067 | + | 35.3012i | 3.18840 | + | 1.54806i | ||||
\(521\) | 2.88854 | 0.126549 | 0.0632747 | − | 0.997996i | \(-0.479846\pi\) | ||||
0.0632747 | + | 0.997996i | \(0.479846\pi\) | |||||||
\(522\) | −14.7082 | + | 25.4754i | −0.643761 | + | 1.11503i | ||||
\(523\) | −16.6830 | − | 3.54609i | −0.729498 | − | 0.155059i | −0.171833 | − | 0.985126i | \(-0.554969\pi\) |
−0.557664 | + | 0.830067i | \(0.688302\pi\) | |||||||
\(524\) | −38.2162 | − | 17.0149i | −1.66948 | − | 0.743301i | ||||
\(525\) | −21.7082 | − | 15.7719i | −0.947424 | − | 0.688344i | ||||
\(526\) | −38.0795 | − | 65.9557i | −1.66035 | − | 2.87580i | ||||
\(527\) | 7.64555 | + | 0.866228i | 0.333045 | + | 0.0377335i | ||||
\(528\) | −49.2705 | −2.14422 | ||||||||
\(529\) | 0.923281 | − | 8.78443i | 0.0401426 | − | 0.381932i | ||||
\(530\) | 0.313585 | + | 2.98357i | 0.0136213 | + | 0.129598i | ||||
\(531\) | −13.2322 | − | 2.81260i | −0.574231 | − | 0.122056i | ||||
\(532\) | 87.3738 | 3.78814 | ||||||||
\(533\) | 7.32624 | + | 25.3788i | 0.317335 | + | 1.09928i | ||||
\(534\) | −3.35410 | − | 10.3229i | −0.145146 | − | 0.446714i | ||||
\(535\) | 13.8707 | + | 15.4050i | 0.599684 | + | 0.666017i | ||||
\(536\) | −61.1783 | − | 67.9454i | −2.64250 | − | 2.93479i | ||||
\(537\) | −3.58224 | + | 34.0828i | −0.154585 | + | 1.47078i | ||||
\(538\) | 3.42705 | + | 10.5474i | 0.147751 | + | 0.454730i | ||||
\(539\) | −0.467465 | + | 4.44764i | −0.0201352 | + | 0.191573i | ||||
\(540\) | −29.7471 | − | 13.2443i | −1.28011 | − | 0.569943i | ||||
\(541\) | −4.90983 | + | 15.1109i | −0.211090 | + | 0.649668i | 0.788318 | + | 0.615268i | \(0.210952\pi\) |
−0.999408 | + | 0.0344005i | \(0.989048\pi\) | |||||||
\(542\) | 1.90947 | + | 0.850149i | 0.0820186 | + | 0.0365170i | ||||
\(543\) | 1.53383 | + | 14.5934i | 0.0658228 | + | 0.626262i | ||||
\(544\) | 10.0370 | + | 11.1472i | 0.430331 | + | 0.477931i | ||||
\(545\) | 19.6353 | − | 14.2658i | 0.841082 | − | 0.611082i | ||||
\(546\) | −21.5512 | + | 59.5415i | −0.922308 | + | 2.54814i | ||||
\(547\) | 10.1738 | + | 31.3116i | 0.434999 | + | 1.33879i | 0.893088 | + | 0.449882i | \(0.148534\pi\) |
−0.458089 | + | 0.888906i | \(0.651466\pi\) | |||||||
\(548\) | −55.5541 | + | 24.7343i | −2.37315 | + | 1.05660i | ||||
\(549\) | 15.4734 | + | 17.1849i | 0.660388 | + | 0.733435i | ||||
\(550\) | 22.9047 | − | 4.86854i | 0.976660 | − | 0.207595i | ||||
\(551\) | 10.4164 | + | 32.0584i | 0.443754 | + | 1.36573i | ||||
\(552\) | 31.4443 | + | 54.4631i | 1.33836 | + | 2.31810i | ||||
\(553\) | −24.6246 | − | 42.6511i | −1.04715 | − | 1.81371i | ||||
\(554\) | −1.33688 | − | 4.11450i | −0.0567986 | − | 0.174808i | ||||
\(555\) | −49.5786 | − | 22.0738i | −2.10449 | − | 0.936981i | ||||
\(556\) | −96.2638 | + | 42.8594i | −4.08249 | + | 1.81764i | ||||
\(557\) | 0.572949 | − | 0.992377i | 0.0242766 | − | 0.0420484i | −0.853632 | − | 0.520877i | \(-0.825605\pi\) |
0.877908 | + | 0.478828i | \(0.158938\pi\) | |||||||
\(558\) | 27.7984 | − | 8.78402i | 1.17680 | − | 0.371857i | ||||
\(559\) | 22.6525 | + | 5.60503i | 0.958098 | + | 0.237068i | ||||
\(560\) | −71.7492 | − | 52.1289i | −3.03196 | − | 2.20285i | ||||
\(561\) | −0.722274 | − | 6.87198i | −0.0304944 | − | 0.290135i | ||||
\(562\) | 5.72618 | + | 1.21714i | 0.241544 | + | 0.0513418i | ||||
\(563\) | −17.7533 | − | 30.7496i | −0.748212 | − | 1.29594i | −0.948679 | − | 0.316241i | \(-0.897579\pi\) |
0.200467 | − | 0.979700i | \(-0.435754\pi\) | |||||||
\(564\) | −91.9574 | −3.87211 | ||||||||
\(565\) | −27.6987 | + | 30.7626i | −1.16529 | + | 1.29419i | ||||
\(566\) | −60.9434 | + | 12.9539i | −2.56164 | + | 0.544494i | ||||
\(567\) | 10.1976 | − | 31.3849i | 0.428257 | − | 1.31804i | ||||
\(568\) | −3.53649 | + | 33.6475i | −0.148388 | + | 1.41182i | ||||
\(569\) | 15.4195 | + | 3.27751i | 0.646417 | + | 0.137400i | 0.519442 | − | 0.854506i | \(-0.326140\pi\) |
0.126975 | + | 0.991906i | \(0.459473\pi\) | |||||||
\(570\) | 96.2638 | − | 42.8594i | 4.03205 | − | 1.79518i | ||||
\(571\) | −8.07295 | + | 5.86534i | −0.337842 | + | 0.245457i | −0.743751 | − | 0.668457i | \(-0.766955\pi\) |
0.405909 | + | 0.913914i | \(0.366955\pi\) | |||||||
\(572\) | −18.4343 | − | 34.5214i | −0.770778 | − | 1.44341i | ||||
\(573\) | −25.0623 | + | 18.2088i | −1.04699 | + | 0.760685i | ||||
\(574\) | −6.01467 | − | 57.2258i | −0.251048 | − | 2.38856i | ||||
\(575\) | −10.0742 | − | 11.1886i | −0.420125 | − | 0.466596i | ||||
\(576\) | 15.9107 | + | 7.08389i | 0.662945 | + | 0.295162i | ||||
\(577\) | 25.7705 | + | 18.7234i | 1.07284 | + | 0.779464i | 0.976421 | − | 0.215877i | \(-0.0692609\pi\) |
0.0964197 | + | 0.995341i | \(0.469261\pi\) | |||||||
\(578\) | 26.4351 | − | 29.3591i | 1.09955 | − | 1.22118i | ||||
\(579\) | 4.10489 | − | 39.0554i | 0.170593 | − | 1.62309i | ||||
\(580\) | 25.2812 | − | 77.8074i | 1.04974 | − | 3.23078i | ||||
\(581\) | 35.0498 | − | 7.45006i | 1.45411 | − | 0.309081i | ||||
\(582\) | −3.53897 | − | 0.752232i | −0.146695 | − | 0.0311810i | ||||
\(583\) | 0.427051 | − | 0.739674i | 0.0176866 | − | 0.0306342i | ||||
\(584\) | 51.8885 | 2.14716 | ||||||||
\(585\) | 1.54752 | + | 21.5779i | 0.0639822 | + | 0.892136i | ||||
\(586\) | 60.0689 | − | 43.6426i | 2.48142 | − | 1.80286i | ||||
\(587\) | −28.7512 | + | 12.8009i | −1.18669 | + | 0.528348i | −0.902613 | − | 0.430453i | \(-0.858354\pi\) |
−0.284077 | + | 0.958801i | \(0.591687\pi\) | |||||||
\(588\) | 10.8541 | − | 18.7999i | 0.447616 | − | 0.775293i | ||||
\(589\) | 13.8344 | − | 30.4074i | 0.570035 | − | 1.25292i | ||||
\(590\) | 53.1246 | 2.18711 | ||||||||
\(591\) | −2.32430 | + | 22.1143i | −0.0956090 | + | 0.909659i | ||||
\(592\) | −72.8291 | − | 32.4256i | −2.99326 | − | 1.33268i | ||||
\(593\) | 11.0557 | + | 34.0260i | 0.454004 | + | 1.39728i | 0.872300 | + | 0.488971i | \(0.162628\pi\) |
−0.418296 | + | 0.908311i | \(0.637372\pi\) | |||||||
\(594\) | 6.54508 | + | 11.3364i | 0.268548 | + | 0.465139i | ||||
\(595\) | 6.21885 | − | 10.7714i | 0.254948 | − | 0.441583i | ||||
\(596\) | −14.2441 | − | 3.02767i | −0.583460 | − | 0.124018i | ||||
\(597\) | −9.51064 | + | 29.2707i | −0.389245 | + | 1.19797i | ||||
\(598\) | −18.7740 | + | 30.1642i | −0.767727 | + | 1.23351i | ||||
\(599\) | 14.7812 | + | 10.7391i | 0.603942 | + | 0.438789i | 0.847276 | − | 0.531153i | \(-0.178241\pi\) |
−0.243334 | + | 0.969943i | \(0.578241\pi\) | |||||||
\(600\) | −65.3724 | − | 13.8953i | −2.66882 | − | 0.567274i | ||||
\(601\) | 33.6994 | − | 15.0039i | 1.37463 | − | 0.612023i | 0.419373 | − | 0.907814i | \(-0.362250\pi\) |
0.955253 | + | 0.295791i | \(0.0955833\pi\) | |||||||
\(602\) | −46.4381 | − | 20.6756i | −1.89268 | − | 0.842673i | ||||
\(603\) | 7.56231 | − | 23.2744i | 0.307961 | − | 0.947806i | ||||
\(604\) | 19.0317 | + | 8.47347i | 0.774390 | + | 0.344781i | ||||
\(605\) | 16.4438 | + | 7.32126i | 0.668536 | + | 0.297652i | ||||
\(606\) | −23.8435 | + | 73.3826i | −0.968574 | + | 2.98097i | ||||
\(607\) | 12.4722 | + | 5.55296i | 0.506229 | + | 0.225388i | 0.643928 | − | 0.765086i | \(-0.277304\pi\) |
−0.137698 | + | 0.990474i | \(0.543970\pi\) | |||||||
\(608\) | 59.4943 | − | 26.4886i | 2.41281 | − | 1.07425i | ||||
\(609\) | 36.8634 | + | 7.83555i | 1.49378 | + | 0.317513i | ||||
\(610\) | −73.4681 | − | 53.3777i | −2.97464 | − | 2.16120i | ||||
\(611\) | −14.3889 | − | 26.9456i | −0.582111 | − | 1.09010i | ||||
\(612\) | −4.14590 | + | 12.7598i | −0.167588 | + | 0.515783i | ||||
\(613\) | −42.2159 | − | 8.97327i | −1.70509 | − | 0.362427i | −0.750616 | − | 0.660738i | \(-0.770243\pi\) |
−0.954469 | + | 0.298311i | \(0.903577\pi\) | |||||||
\(614\) | 6.16312 | − | 10.6748i | 0.248723 | − | 0.430801i | ||||
\(615\) | −24.5729 | − | 42.5616i | −0.990877 | − | 1.71625i | ||||
\(616\) | 15.4894 | + | 47.6713i | 0.624084 | + | 1.92073i | ||||
\(617\) | 18.4866 | + | 8.23075i | 0.744241 | + | 0.331358i | 0.743584 | − | 0.668642i | \(-0.233124\pi\) |
0.000656952 | 1.00000i | \(0.499791\pi\) | ||||||||
\(618\) | −8.53278 | + | 81.1840i | −0.343239 | + | 3.26570i | ||||
\(619\) | 29.2705 | 1.17648 | 0.588241 | − | 0.808686i | \(-0.299821\pi\) | ||||
0.588241 | + | 0.808686i | \(0.299821\pi\) | |||||||
\(620\) | −70.5429 | + | 39.9698i | −2.83307 | + | 1.60523i | ||||
\(621\) | 4.20820 | − | 7.28882i | 0.168869 | − | 0.292490i | ||||
\(622\) | 59.9571 | − | 26.6946i | 2.40406 | − | 1.07036i | ||||
\(623\) | −4.50000 | + | 3.26944i | −0.180289 | + | 0.130987i | ||||
\(624\) | 5.68313 | + | 79.2428i | 0.227507 | + | 3.17225i | ||||
\(625\) | −29.0000 | −1.16000 | ||||||||
\(626\) | −20.5623 | + | 35.6150i | −0.821835 | + | 1.42346i | ||||
\(627\) | −29.3444 | − | 6.23735i | −1.17190 | − | 0.249096i | ||||
\(628\) | −80.1873 | + | 17.0443i | −3.19982 | + | 0.680143i | ||||
\(629\) | 3.45492 | − | 10.6331i | 0.137756 | − | 0.423971i | ||||
\(630\) | 4.92586 | − | 46.8665i | 0.196251 | − | 1.86720i | ||||
\(631\) | −16.7140 | + | 18.5628i | −0.665375 | + | 0.738973i | −0.977469 | − | 0.211078i | \(-0.932303\pi\) |
0.312095 | + | 0.950051i | \(0.398969\pi\) | |||||||
\(632\) | −99.2386 | − | 72.1010i | −3.94750 | − | 2.86803i | ||||
\(633\) | −27.1518 | − | 12.0888i | −1.07919 | − | 0.480485i | ||||
\(634\) | 37.2618 | + | 41.3834i | 1.47986 | + | 1.64355i | ||||
\(635\) | −4.17891 | − | 39.7597i | −0.165835 | − | 1.57782i | ||||
\(636\) | −3.35410 | + | 2.43690i | −0.132999 | + | 0.0966293i | ||||
\(637\) | 7.20715 | + | 0.238820i | 0.285558 | + | 0.00946237i | ||||
\(638\) | −26.6074 | + | 19.3314i | −1.05340 | + | 0.765337i | ||||
\(639\) | −8.27282 | + | 3.68330i | −0.327268 | + | 0.145709i | ||||
\(640\) | −3.19904 | − | 0.679977i | −0.126453 | − | 0.0268785i | ||||
\(641\) | 0.558968 | − | 5.31823i | 0.0220779 | − | 0.210057i | −0.977921 | − | 0.208973i | \(-0.932988\pi\) |
0.999999 | − | 0.00108479i | \(-0.000345301\pi\) | |||||||
\(642\) | −12.5000 | + | 38.4710i | −0.493336 | + | 1.51833i | ||||
\(643\) | 6.90154 | − | 1.46697i | 0.272170 | − | 0.0578516i | −0.0698045 | − | 0.997561i | \(-0.522238\pi\) |
0.341975 | + | 0.939709i | \(0.388904\pi\) | |||||||
\(644\) | 36.6761 | − | 40.7329i | 1.44524 | − | 1.60510i | ||||
\(645\) | −43.4164 | −1.70952 | ||||||||
\(646\) | 10.8541 | + | 18.7999i | 0.427049 | + | 0.739670i | ||||
\(647\) | −25.2891 | − | 5.37537i | −0.994218 | − | 0.211328i | −0.318049 | − | 0.948074i | \(-0.603028\pi\) |
−0.676169 | + | 0.736747i | \(0.736361\pi\) | |||||||
\(648\) | −8.59156 | − | 81.7432i | −0.337508 | − | 3.21118i | ||||
\(649\) | −12.2361 | − | 8.89002i | −0.480308 | − | 0.348964i | ||||
\(650\) | −10.4721 | − | 36.2765i | −0.410751 | − | 1.42288i | ||||
\(651\) | −21.7082 | − | 30.3933i | −0.850812 | − | 1.19121i | ||||
\(652\) | −12.0000 | + | 20.7846i | −0.469956 | + | 0.813988i | ||||
\(653\) | −3.08958 | + | 1.37557i | −0.120905 | + | 0.0538302i | −0.466297 | − | 0.884628i | \(-0.654412\pi\) |
0.345393 | + | 0.938458i | \(0.387746\pi\) | |||||||
\(654\) | 43.2661 | + | 19.2633i | 1.69184 | + | 0.753256i | ||||
\(655\) | 7.98936 | + | 24.5887i | 0.312170 | + | 0.960760i | ||||
\(656\) | −36.0967 | − | 62.5214i | −1.40934 | − | 2.44105i | ||||
\(657\) | 6.94427 | + | 12.0278i | 0.270922 | + | 0.469250i | ||||
\(658\) | 20.5623 | + | 63.2843i | 0.801602 | + | 2.46708i | ||||
\(659\) | −19.5966 | + | 4.16539i | −0.763377 | + | 0.162261i | −0.573118 | − | 0.819473i | \(-0.694266\pi\) |
−0.190259 | + | 0.981734i | \(0.560933\pi\) | |||||||
\(660\) | 48.7204 | + | 54.1095i | 1.89644 | + | 2.10621i | ||||
\(661\) | −33.1348 | + | 14.7525i | −1.28879 | + | 0.573808i | −0.932703 | − | 0.360644i | \(-0.882557\pi\) |
−0.356089 | + | 0.934452i | \(0.615890\pi\) | |||||||
\(662\) | 15.3262 | + | 47.1693i | 0.595671 | + | 1.83329i | ||||
\(663\) | −10.9690 | + | 1.95430i | −0.426002 | + | 0.0758987i | ||||
\(664\) | 72.2041 | − | 52.4594i | 2.80206 | − | 2.03582i | ||||
\(665\) | −36.1331 | − | 40.1298i | −1.40118 | − | 1.55617i | ||||
\(666\) | −4.42790 | − | 42.1286i | −0.171578 | − | 1.63245i | ||||
\(667\) | 19.3177 | + | 8.60081i | 0.747986 | + | 0.333025i | ||||
\(668\) | −12.2705 | + | 37.7647i | −0.474760 | + | 1.46116i | ||||
\(669\) | 14.6676 | + | 6.53045i | 0.567084 | + | 0.252482i | ||||
\(670\) | −10.0455 | + | 95.5769i | −0.388093 | + | 3.69246i | ||||
\(671\) | 7.98936 | + | 24.5887i | 0.308426 | + | 0.949237i | ||||
\(672\) | 7.61088 | − | 72.4127i | 0.293596 | − | 2.79338i | ||||
\(673\) | −5.31576 | − | 5.90374i | −0.204907 | − | 0.227573i | 0.631928 | − | 0.775027i | \(-0.282264\pi\) |
−0.836836 | + | 0.547454i | \(0.815597\pi\) | |||||||
\(674\) | 5.31576 | + | 5.90374i | 0.204755 | + | 0.227404i | ||||
\(675\) | 2.76393 | + | 8.50651i | 0.106384 | + | 0.327416i | ||||
\(676\) | −53.3951 | + | 33.6302i | −2.05366 | + | 1.29347i | ||||
\(677\) | −39.5066 | −1.51836 | −0.759181 | − | 0.650880i | \(-0.774400\pi\) | ||||
−0.759181 | + | 0.650880i | \(0.774400\pi\) | |||||||
\(678\) | −79.0119 | − | 16.7945i | −3.03443 | − | 0.644989i | ||||
\(679\) | 0.193806 | + | 1.84395i | 0.00743761 | + | 0.0707641i | ||||
\(680\) | 3.23816 | − | 30.8090i | 0.124178 | − | 1.18147i | ||||
\(681\) | −21.8328 | −0.836635 | ||||||||
\(682\) | 32.3871 | + | 3.66940i | 1.24016 | + | 0.140509i | ||||
\(683\) | −0.0557281 | − | 0.0965239i | −0.00213238 | − | 0.00369338i | 0.864957 | − | 0.501846i | \(-0.167345\pi\) |
−0.867090 | + | 0.498152i | \(0.834012\pi\) | |||||||
\(684\) | 47.1246 | + | 34.2380i | 1.80185 | + | 1.30912i | ||||
\(685\) | 34.3343 | + | 15.2866i | 1.31185 | + | 0.584072i | ||||
\(686\) | 38.4124 | + | 8.16480i | 1.46659 | + | 0.311733i | ||||
\(687\) | −1.58359 | + | 2.74286i | −0.0604178 | + | 0.104647i | ||||
\(688\) | −63.7771 | −2.43148 | ||||||||
\(689\) | −1.23889 | − | 0.601517i | −0.0471980 | − | 0.0229160i | ||||
\(690\) | 20.4271 | − | 62.8680i | 0.777645 | − | 2.39334i | ||||
\(691\) | −12.3230 | − | 13.6861i | −0.468788 | − | 0.520642i | 0.461664 | − | 0.887055i | \(-0.347253\pi\) |
−0.930452 | + | 0.366413i | \(0.880586\pi\) | |||||||
\(692\) | 51.2724 | − | 22.8279i | 1.94908 | − | 0.867788i | ||||
\(693\) | −8.97733 | + | 9.97033i | −0.341021 | + | 0.378742i | ||||
\(694\) | −43.7426 | − | 31.7809i | −1.66045 | − | 1.20639i | ||||
\(695\) | 59.4943 | + | 26.4886i | 2.25675 | + | 1.00477i | ||||
\(696\) | 91.8160 | − | 19.5161i | 3.48028 | − | 0.739756i | ||||
\(697\) | 8.19098 | − | 5.95110i | 0.310256 | − | 0.225414i | ||||
\(698\) | 23.7836 | + | 10.5892i | 0.900224 | + | 0.400806i | ||||
\(699\) | 21.8718 | + | 24.2911i | 0.827268 | + | 0.918774i | ||||
\(700\) | 6.08870 | + | 57.9301i | 0.230131 | + | 2.18955i | ||||
\(701\) | −15.0000 | − | 10.8981i | −0.566542 | − | 0.411617i | 0.267305 | − | 0.963612i | \(-0.413867\pi\) |
−0.833847 | + | 0.551995i | \(0.813867\pi\) | |||||||
\(702\) | 17.4777 | − | 11.8342i | 0.659651 | − | 0.446653i | ||||
\(703\) | −39.2705 | − | 28.5317i | −1.48112 | − | 1.07609i | ||||
\(704\) | 13.0294 | + | 14.4706i | 0.491064 | + | 0.545382i | ||||
\(705\) | 38.0286 | + | 42.2350i | 1.43224 | + | 1.59066i | ||||
\(706\) | −8.66141 | + | 9.61947i | −0.325976 | + | 0.362033i | ||||
\(707\) | 39.5410 | 1.48709 | ||||||||
\(708\) | 36.7082 | + | 63.5805i | 1.37958 | + | 2.38950i | ||||
\(709\) | 5.68321 | − | 6.31184i | 0.213437 | − | 0.237046i | −0.626914 | − | 0.779089i | \(-0.715682\pi\) |
0.840351 | + | 0.542042i | \(0.182349\pi\) | |||||||
\(710\) | 28.7705 | − | 20.9030i | 1.07974 | − | 0.784476i | ||||
\(711\) | 3.43196 | − | 32.6530i | 0.128709 | − | 1.22458i | ||||
\(712\) | −6.92705 | + | 11.9980i | −0.259602 | + | 0.449644i | ||||
\(713\) | −8.36855 | − | 19.2133i | −0.313405 | − | 0.719543i | ||||
\(714\) | 24.2705 | 0.908301 | ||||||||
\(715\) | −8.23184 | + | 22.7428i | −0.307854 | + | 0.850534i | ||||
\(716\) | 60.1869 | − | 43.7284i | 2.24929 | − | 1.63421i | ||||
\(717\) | 1.98998 | + | 0.422984i | 0.0743173 | + | 0.0157966i | ||||
\(718\) | 11.4443 | − | 19.8221i | 0.427096 | − | 0.739753i | ||||
\(719\) | −4.47214 | − | 7.74597i | −0.166783 | − | 0.288876i | 0.770504 | − | 0.637435i | \(-0.220004\pi\) |
−0.937287 | + | 0.348559i | \(0.886671\pi\) | |||||||
\(720\) | −18.2705 | − | 56.2308i | −0.680902 | − | 2.09560i | ||||
\(721\) | 40.9187 | − | 8.69753i | 1.52389 | − | 0.323913i | ||||
\(722\) | 43.5340 | − | 9.25344i | 1.62017 | − | 0.344377i | ||||
\(723\) | −22.8262 | − | 16.5842i | −0.848917 | − | 0.616774i | ||||
\(724\) | 21.3146 | − | 23.6722i | 0.792149 | − | 0.879771i | ||||
\(725\) | −20.5293 | + | 9.14024i | −0.762440 | + | 0.339460i | ||||
\(726\) | 3.67152 | + | 34.9322i | 0.136263 | + | 1.29646i | ||||
\(727\) | 0.309017 | − | 0.951057i | 0.0114608 | − | 0.0352727i | −0.945163 | − | 0.326600i | \(-0.894097\pi\) |
0.956623 | + | 0.291327i | \(0.0940969\pi\) | |||||||
\(728\) | 74.8842 | − | 30.4105i | 2.77539 | − | 1.12709i | ||||
\(729\) | 5.66312 | − | 4.11450i | 0.209745 | − | 0.152389i | ||||
\(730\) | −36.4951 | − | 40.5319i | −1.35074 | − | 1.50015i | ||||
\(731\) | −0.934931 | − | 8.89527i | −0.0345797 | − | 0.329004i | ||||
\(732\) | 13.1182 | − | 124.811i | 0.484861 | − | 4.61315i | ||||
\(733\) | −12.6803 | − | 39.0261i | −0.468359 | − | 1.44146i | −0.854708 | − | 0.519108i | \(-0.826264\pi\) |
0.386349 | − | 0.922353i | \(-0.373736\pi\) | |||||||
\(734\) | −1.36830 | + | 13.0185i | −0.0505047 | + | 0.480520i | ||||
\(735\) | −13.1232 | + | 2.78943i | −0.484058 | + | 0.102890i | ||||
\(736\) | 12.6246 | − | 38.8546i | 0.465349 | − | 1.43220i | ||||
\(737\) | 18.3079 | − | 20.3329i | 0.674379 | − | 0.748974i | ||||
\(738\) | 19.1803 | − | 33.2213i | 0.706038 | − | 1.22289i | ||||
\(739\) | 8.98278 | − | 15.5586i | 0.330437 | − | 0.572333i | −0.652161 | − | 0.758081i | \(-0.726137\pi\) |
0.982598 | + | 0.185747i | \(0.0594706\pi\) | |||||||
\(740\) | 36.4058 | + | 112.045i | 1.33830 | + | 4.11887i | ||||
\(741\) | −6.64691 | + | 47.9147i | −0.244180 | + | 1.76019i | ||||
\(742\) | 2.42705 | + | 1.76336i | 0.0890998 | + | 0.0647348i | ||||
\(743\) | 1.76393 | − | 3.05522i | 0.0647124 | − | 0.112085i | −0.831854 | − | 0.554995i | \(-0.812720\pi\) |
0.896566 | + | 0.442909i | \(0.146054\pi\) | |||||||
\(744\) | −80.1848 | − | 47.1645i | −2.93972 | − | 1.72913i | ||||
\(745\) | 4.50000 | + | 7.79423i | 0.164867 | + | 0.285558i | ||||
\(746\) | 24.1803 | + | 17.5680i | 0.885305 | + | 0.643212i | ||||
\(747\) | 21.8233 | + | 9.71635i | 0.798472 | + | 0.355503i | ||||
\(748\) | −10.0370 | + | 11.1472i | −0.366988 | + | 0.407581i | ||||
\(749\) | 20.7295 | 0.757439 | ||||||||
\(750\) | −8.78115 | − | 15.2094i | −0.320642 | − | 0.555369i | ||||
\(751\) | 0.835438 | + | 0.177578i | 0.0304856 | + | 0.00647991i | 0.223129 | − | 0.974789i | \(-0.428373\pi\) |
−0.192644 | + | 0.981269i | \(0.561706\pi\) | |||||||
\(752\) | 55.8626 | + | 62.0417i | 2.03710 | + | 2.26243i | ||||
\(753\) | 8.51722 | − | 26.2133i | 0.310385 | − | 0.955266i | ||||
\(754\) | 34.1601 | + | 40.5634i | 1.24404 | + | 1.47723i | ||||
\(755\) | −3.97871 | − | 12.2452i | −0.144800 | − | 0.445649i | ||||
\(756\) | −29.7471 | + | 13.2443i | −1.08189 | + | 0.481690i | ||||
\(757\) | 3.54232 | + | 33.7029i | 0.128748 | + | 1.22495i | 0.847921 | + | 0.530122i | \(0.177854\pi\) |
−0.719174 | + | 0.694830i | \(0.755479\pi\) | |||||||
\(758\) | −12.4305 | + | 2.64218i | −0.451496 | + | 0.0959685i | ||||
\(759\) | −15.2254 | + | 11.0619i | −0.552648 | + | 0.401522i | ||||
\(760\) | −122.870 | − | 54.7054i | −4.45698 | − | 1.98438i | ||||
\(761\) | 14.6722 | − | 3.11868i | 0.531867 | − | 0.113052i | 0.0658535 | − | 0.997829i | \(-0.479023\pi\) |
0.466014 | + | 0.884777i | \(0.345690\pi\) | |||||||
\(762\) | 63.1140 | − | 45.8550i | 2.28638 | − | 1.66115i | ||||
\(763\) | 2.53696 | − | 24.1376i | 0.0918441 | − | 0.873838i | ||||
\(764\) | 65.7797 | + | 13.9819i | 2.37982 | + | 0.505847i | ||||
\(765\) | 7.57493 | − | 3.37258i | 0.273872 | − | 0.121936i | ||||
\(766\) | −0.309017 | + | 0.951057i | −0.0111652 | + | 0.0343631i | ||||
\(767\) | −12.8866 | + | 20.7049i | −0.465309 | + | 0.747612i | ||||
\(768\) | 10.0623 | + | 30.9686i | 0.363092 | + | 1.11748i | ||||
\(769\) | −14.2082 | + | 24.6093i | −0.512361 | + | 0.887435i | 0.487536 | + | 0.873103i | \(0.337896\pi\) |
−0.999897 | + | 0.0143325i | \(0.995438\pi\) | |||||||
\(770\) | 26.3435 | − | 45.6282i | 0.949352 | − | 1.64433i | ||||
\(771\) | −30.4126 | + | 33.7766i | −1.09528 | + | 1.21643i | ||||
\(772\) | −68.9681 | + | 50.1082i | −2.48222 | + | 1.80343i | ||||
\(773\) | −0.870329 | + | 8.28063i | −0.0313036 | + | 0.297833i | 0.967658 | + | 0.252267i | \(0.0811760\pi\) |
−0.998961 | + | 0.0455667i | \(0.985491\pi\) | |||||||
\(774\) | −16.9443 | − | 29.3483i | −0.609049 | − | 1.05490i | ||||
\(775\) | 21.1246 | + | 7.05342i | 0.758818 | + | 0.253366i | ||||
\(776\) | 2.30902 | + | 3.99933i | 0.0828889 | + | 0.143568i | ||||
\(777\) | −49.5786 | + | 22.0738i | −1.77862 | + | 0.791893i | ||||
\(778\) | 4.24352 | + | 40.3744i | 0.152137 | + | 1.44749i | ||||
\(779\) | −13.5836 | − | 41.8060i | −0.486683 | − | 1.49786i | ||||
\(780\) | 81.4058 | − | 84.5994i | 2.91479 | − | 3.02914i | ||||
\(781\) | −10.1246 | −0.362287 | ||||||||
\(782\) | 13.3204 | + | 2.83135i | 0.476338 | + | 0.101249i | ||||
\(783\) | −8.40582 | − | 9.33561i | −0.300400 | − | 0.333628i | ||||
\(784\) | −19.2775 | + | 4.09757i | −0.688483 | + | 0.146342i | ||||
\(785\) | 40.9894 | + | 29.7805i | 1.46297 | + | 1.06291i | ||||
\(786\) | −33.7582 | + | 37.4923i | −1.20412 | + | 1.33731i | ||||
\(787\) | −2.40775 | + | 22.9083i | −0.0858272 | + | 0.816591i | 0.863932 | + | 0.503609i | \(0.167995\pi\) |
−0.949759 | + | 0.312982i | \(0.898672\pi\) | |||||||
\(788\) | 39.0517 | − | 28.3727i | 1.39116 | − | 1.01074i | ||||
\(789\) | −63.6262 | + | 13.5242i | −2.26515 | + | 0.481473i | ||||
\(790\) | 13.4775 | + | 128.230i | 0.479508 | + | 4.56221i | ||||
\(791\) | 4.32697 | + | 41.1684i | 0.153849 | + | 1.46378i | ||||
\(792\) | −10.3262 | + | 31.7809i | −0.366927 | + | 1.12928i | ||||
\(793\) | 38.6250 | − | 15.6856i | 1.37161 | − | 0.557014i | ||||
\(794\) | −0.572949 | − | 0.416272i | −0.0203332 | − | 0.0147729i | ||||
\(795\) | 2.50631 | + | 0.532733i | 0.0888898 | + | 0.0188941i | ||||
\(796\) | 61.0354 | − | 27.1747i | 2.16334 | − | 0.963182i | ||||
\(797\) | 13.5514 | − | 2.88043i | 0.480014 | − | 0.102030i | 0.0384510 | − | 0.999260i | \(-0.487758\pi\) |
0.441563 | + | 0.897230i | \(0.354424\pi\) | |||||||
\(798\) | 32.5623 | − | 100.216i | 1.15269 | − | 3.54762i | ||||
\(799\) | −7.83432 | + | 8.70089i | −0.277158 | + | 0.307815i | ||||
\(800\) | 21.7082 | + | 37.5997i | 0.767501 | + | 1.32935i | ||||
\(801\) | −3.70820 | −0.131023 | ||||||||
\(802\) | −14.8415 | + | 16.4832i | −0.524073 | + | 0.582042i | ||||
\(803\) | 1.62310 | + | 15.4428i | 0.0572781 | + | 0.544965i | ||||
\(804\) | −121.329 | + | 54.0193i | −4.27896 | + | 1.90511i | ||||
\(805\) | −33.8754 | −1.19395 | ||||||||
\(806\) | 2.16587 | − | 52.5120i | 0.0762897 | − | 1.84966i | ||||
\(807\) | 9.47214 | 0.333435 | ||||||||
\(808\) | 89.9708 | − | 40.0576i | 3.16516 | − | 1.40922i | ||||
\(809\) | −1.96719 | − | 18.7166i | −0.0691627 | − | 0.658039i | −0.973101 | − | 0.230377i | \(-0.926004\pi\) |
0.903939 | − | 0.427662i | \(-0.140663\pi\) | |||||||
\(810\) | −57.8096 | + | 64.2041i | −2.03122 | + | 2.25590i | ||||
\(811\) | −0.270510 | −0.00949888 | −0.00474944 | − | 0.999989i | \(-0.501512\pi\) | ||||
−0.00474944 | + | 0.999989i | \(0.501512\pi\) | |||||||
\(812\) | −40.9058 | − | 70.8509i | −1.43551 | − | 2.48638i | ||||
\(813\) | 1.19454 | − | 1.32668i | 0.0418945 | − | 0.0465285i | ||||
\(814\) | 14.6353 | − | 45.0427i | 0.512965 | − | 1.57875i | ||||
\(815\) | 14.5087 | − | 3.08392i | 0.508217 | − | 0.108025i | ||||
\(816\) | 27.8182 | − | 12.3855i | 0.973833 | − | 0.433578i | ||||
\(817\) | −37.9842 | − | 8.07380i | −1.32890 | − | 0.282466i | ||||
\(818\) | −17.0172 | − | 12.3637i | −0.594993 | − | 0.432288i | ||||
\(819\) | 17.0710 | + | 13.2884i | 0.596509 | + | 0.464334i | ||||
\(820\) | −32.9681 | + | 101.465i | −1.15129 | + | 3.54332i | ||||
\(821\) | −2.46876 | − | 23.4887i | −0.0861602 | − | 0.819760i | −0.949211 | − | 0.314642i | \(-0.898116\pi\) |
0.863050 | − | 0.505118i | \(-0.168551\pi\) | |||||||
\(822\) | 7.66605 | + | 72.9376i | 0.267384 | + | 2.54399i | ||||
\(823\) | 31.3889 | − | 6.67192i | 1.09415 | − | 0.232569i | 0.374722 | − | 0.927137i | \(-0.377738\pi\) |
0.719427 | + | 0.694568i | \(0.244405\pi\) | |||||||
\(824\) | 84.2943 | − | 61.2434i | 2.93653 | − | 2.13351i | ||||
\(825\) | 2.09057 | − | 19.8904i | 0.0727843 | − | 0.692496i | ||||
\(826\) | 35.5473 | − | 39.4793i | 1.23685 | − | 1.37366i | ||||
\(827\) | −31.1246 | − | 22.6134i | −1.08231 | − | 0.786343i | −0.104225 | − | 0.994554i | \(-0.533236\pi\) |
−0.978084 | + | 0.208210i | \(0.933236\pi\) | |||||||
\(828\) | 35.7425 | − | 7.59731i | 1.24214 | − | 0.264025i | ||||
\(829\) | −20.7430 | − | 23.0375i | −0.720436 | − | 0.800125i | 0.266052 | − | 0.963959i | \(-0.414281\pi\) |
−0.986488 | + | 0.163834i | \(0.947614\pi\) | |||||||
\(830\) | −91.7615 | − | 19.5045i | −3.18509 | − | 0.677012i | ||||
\(831\) | −3.69505 | −0.128180 | ||||||||
\(832\) | 21.7705 | − | 22.6246i | 0.754757 | − | 0.784366i | ||||
\(833\) | −0.854102 | − | 2.62866i | −0.0295929 | − | 0.0910775i | ||||
\(834\) | 13.2837 | + | 126.386i | 0.459977 | + | 4.37638i | ||||
\(835\) | 22.4193 | − | 9.98173i | 0.775853 | − | 0.345432i | ||||
\(836\) | 32.5623 | + | 56.3996i | 1.12619 | + | 1.95062i | ||||
\(837\) | −0.100813 | + | 12.4495i | −0.00348461 | + | 0.430317i | ||||
\(838\) | −19.9894 | − | 34.6226i | −0.690521 | − | 1.19602i | ||||
\(839\) | 2.41358 | − | 22.9637i | 0.0833260 | − | 0.792794i | −0.870446 | − | 0.492264i | \(-0.836170\pi\) |
0.953772 | − | 0.300531i | \(-0.0971637\pi\) | |||||||
\(840\) | −121.655 | + | 88.3875i | −4.19750 | + | 3.04966i | ||||
\(841\) | 1.71452 | − | 1.90416i | 0.0591213 | − | 0.0656608i | ||||
\(842\) | −22.3713 | + | 38.7483i | −0.770967 | + | 1.33535i | ||||
\(843\) | 2.50000 | − | 4.33013i | 0.0861046 | − | 0.149137i | ||||
\(844\) | 19.9377 | + | 61.3619i | 0.686284 | + | 2.11216i | ||||
\(845\) | 37.5273 | + | 10.6162i | 1.29098 | + | 0.365207i | ||||
\(846\) | −13.7082 | + | 42.1895i | −0.471298 | + | 1.45051i | ||||
\(847\) | 16.4438 | − | 7.32126i | 0.565016 | − | 0.251561i | ||||
\(848\) | 3.68168 | + | 0.782565i | 0.126429 | + | 0.0268734i | ||||
\(849\) | −5.56246 | + | 52.9233i | −0.190903 | + | 1.81632i | ||||
\(850\) | −11.7082 | + | 8.50651i | −0.401588 | + | 0.291771i | ||||
\(851\) | −29.7854 | + | 6.33109i | −1.02103 | + | 0.217027i | ||||
\(852\) | 44.8970 | + | 19.9894i | 1.53815 | + | 0.684827i | ||||
\(853\) | 21.9443 | − | 15.9434i | 0.751358 | − | 0.545893i | −0.144890 | − | 0.989448i | \(-0.546283\pi\) |
0.896247 | + | 0.443555i | \(0.146283\pi\) | |||||||
\(854\) | −88.8271 | + | 18.8808i | −3.03960 | + | 0.646087i | ||||
\(855\) | −3.76302 | − | 35.8028i | −0.128693 | − | 1.22443i | ||||
\(856\) | 47.1674 | − | 21.0003i | 1.61215 | − | 0.717775i | ||||
\(857\) | 12.7812 | + | 39.3363i | 0.436596 | + | 1.34370i | 0.891442 | + | 0.453134i | \(0.149694\pi\) |
−0.454847 | + | 0.890570i | \(0.650306\pi\) | |||||||
\(858\) | −46.4656 | + | 8.27855i | −1.58631 | + | 0.282625i | ||||
\(859\) | −10.7295 | + | 33.0220i | −0.366085 | + | 1.12670i | 0.583213 | + | 0.812319i | \(0.301795\pi\) |
−0.949299 | + | 0.314376i | \(0.898205\pi\) | |||||||
\(860\) | 63.0650 | + | 70.0408i | 2.15050 | + | 2.38837i | ||||
\(861\) | −48.0719 | − | 10.2180i | −1.63829 | − | 0.348229i | ||||
\(862\) | 23.1074 | + | 40.0232i | 0.787041 | + | 1.36319i | ||||
\(863\) | −7.32624 | −0.249388 | −0.124694 | − | 0.992195i | \(-0.539795\pi\) | ||||
−0.124694 | + | 0.992195i | \(0.539795\pi\) | |||||||
\(864\) | −16.2401 | + | 18.0365i | −0.552501 | + | 0.613614i | ||||
\(865\) | −31.6881 | − | 14.1084i | −1.07743 | − | 0.479701i | ||||
\(866\) | 36.6246 | + | 26.6093i | 1.24455 | + | 0.904222i | ||||
\(867\) | −16.8713 | − | 29.2220i | −0.572980 | − | 0.992431i | ||||
\(868\) | −17.4990 | + | 79.1686i | −0.593955 | + | 2.68716i | ||||
\(869\) | 18.3541 | − | 31.7902i | 0.622620 | − | 1.07841i | ||||
\(870\) | −79.8222 | − | 57.9942i | −2.70623 | − | 1.96619i | ||||
\(871\) | −34.8136 | − | 27.0996i | −1.17961 | − | 0.918235i | ||||
\(872\) | −18.6803 | − | 57.4922i | −0.632596 | − | 1.94693i | ||||
\(873\) | −0.618034 | + | 1.07047i | −0.0209173 | + | 0.0362298i | ||||
\(874\) | 29.5623 | − | 51.2034i | 0.999960 | − | 1.73198i | ||||
\(875\) | −6.02218 | + | 6.68830i | −0.203587 | + | 0.226106i | ||||
\(876\) | 23.2918 | − | 71.6848i | 0.786957 | − | 2.42200i | ||||
\(877\) | −20.7720 | + | 4.41523i | −0.701421 | + | 0.149092i | −0.544799 | − | 0.838567i | \(-0.683394\pi\) |
−0.156622 | + | 0.987659i | \(0.550061\pi\) | |||||||
\(878\) | 4.39380 | − | 41.8042i | 0.148283 | − | 1.41082i | ||||
\(879\) | −19.5967 | − | 60.3126i | −0.660982 | − | 2.03429i | ||||
\(880\) | 6.90968 | − | 65.7412i | 0.232925 | − | 2.21614i | ||||
\(881\) | −1.21442 | − | 11.5544i | −0.0409147 | − | 0.389277i | −0.995747 | − | 0.0921316i | \(-0.970632\pi\) |
0.954832 | − | 0.297146i | \(-0.0960347\pi\) | |||||||
\(882\) | −7.00723 | − | 7.78231i | −0.235946 | − | 0.262044i | ||||
\(883\) | 12.9271 | − | 9.39205i | 0.435030 | − | 0.316068i | −0.348627 | − | 0.937262i | \(-0.613352\pi\) |
0.783657 | + | 0.621194i | \(0.213352\pi\) | |||||||
\(884\) | 19.0859 | + | 14.8569i | 0.641930 | + | 0.499691i | ||||
\(885\) | 14.0213 | − | 43.1531i | 0.471320 | − | 1.45057i | ||||
\(886\) | −6.52207 | − | 62.0533i | −0.219113 | − | 2.08472i | ||||
\(887\) | −50.1746 | + | 22.3392i | −1.68470 | + | 0.750077i | −0.684930 | + | 0.728609i | \(0.740167\pi\) |
−0.999770 | + | 0.0214679i | \(0.993166\pi\) | |||||||
\(888\) | −90.4479 | + | 100.453i | −3.03523 | + | 3.37097i | ||||
\(889\) | −32.3435 | − | 23.4989i | −1.08476 | − | 0.788128i | ||||
\(890\) | 14.2441 | − | 3.02767i | 0.477463 | − | 0.101488i | ||||
\(891\) | 24.0592 | − | 5.11395i | 0.806015 | − | 0.171324i | ||||
\(892\) | −10.7705 | − | 33.1482i | −0.360623 | − | 1.10988i | ||||
\(893\) | 25.4164 | + | 44.0225i | 0.850528 | + | 1.47316i | ||||
\(894\) | −8.78115 | + | 15.2094i | −0.293686 | + | 0.508679i | ||||
\(895\) | −44.9740 | − | 9.55951i | −1.50331 | − | 0.319539i | ||||
\(896\) | −2.64590 | + | 1.92236i | −0.0883932 | + | 0.0642215i | ||||
\(897\) | 19.5473 | + | 23.2114i | 0.652665 | + | 0.775007i | ||||
\(898\) | −23.5623 | −0.786284 | ||||||||
\(899\) | −31.1340 | + | 3.01763i | −1.03838 | + | 0.100644i | ||||
\(900\) | −19.4164 | + | 33.6302i | −0.647214 | + | 1.12101i | ||||
\(901\) | −0.0551768 | + | 0.524972i | −0.00183821 | + | 0.0174894i | ||||
\(902\) | 34.6976 | − | 25.2093i | 1.15530 | − | 0.839376i | ||||
\(903\) | −29.0512 | + | 32.2647i | −0.966765 | + | 1.07370i | ||||
\(904\) | 51.5517 | + | 89.2901i | 1.71458 | + | 2.96974i | ||||
\(905\) | −19.6869 | −0.654415 | ||||||||
\(906\) | 16.8116 | − | 18.6712i | 0.558530 | − | 0.620310i | ||||
\(907\) | 25.3293 | + | 28.1311i | 0.841047 | + | 0.934077i | 0.998571 | − | 0.0534379i | \(-0.0170179\pi\) |
−0.157524 | + | 0.987515i | \(0.550351\pi\) | |||||||
\(908\) | 31.7135 | + | 35.2214i | 1.05245 | + | 1.16886i | ||||
\(909\) | 21.3262 | + | 15.4944i | 0.707347 | + | 0.513917i | ||||
\(910\) | −76.4234 | − | 37.1057i | −2.53341 | − | 1.23004i | ||||
\(911\) | −44.4336 | − | 32.2829i | −1.47215 | − | 1.06958i | −0.979983 | − | 0.199081i | \(-0.936204\pi\) |
−0.492169 | − | 0.870500i | \(-0.663796\pi\) | |||||||
\(912\) | −13.8194 | − | 131.482i | −0.457605 | − | 4.35382i | ||||
\(913\) | 17.8713 | + | 19.8481i | 0.591453 | + | 0.656875i | ||||
\(914\) | 2.52498 | + | 1.12419i | 0.0835188 | + | 0.0371850i | ||||
\(915\) | −62.7492 | + | 45.5900i | −2.07443 | + | 1.50716i | ||||
\(916\) | 6.72514 | − | 1.42947i | 0.222205 | − | 0.0472311i | ||||
\(917\) | 23.6189 | + | 10.5158i | 0.779965 | + | 0.347263i | ||||
\(918\) | −6.54508 | − | 4.75528i | −0.216020 | − | 0.156948i | ||||
\(919\) | −34.2233 | + | 38.0088i | −1.12892 | + | 1.25379i | −0.165382 | + | 0.986230i | \(0.552886\pi\) |
−0.963540 | + | 0.267565i | \(0.913781\pi\) | |||||||
\(920\) | −77.0793 | + | 34.3179i | −2.54123 | + | 1.13143i | ||||
\(921\) | −7.04452 | − | 7.82373i | −0.232125 | − | 0.257801i | ||||
\(922\) | 12.8541 | − | 39.5609i | 0.423327 | − | 1.30287i | ||||
\(923\) | 1.16783 | + | 16.2836i | 0.0384395 | + | 0.535982i | ||||
\(924\) | 72.8115 | 2.39532 | ||||||||
\(925\) | 16.1803 | − | 28.0252i | 0.532006 | − | 0.921462i | ||||
\(926\) | −13.5514 | − | 2.88043i | −0.445325 | − | 0.0946568i | ||||
\(927\) | 25.4775 | + | 11.3433i | 0.836789 | + | 0.372563i | ||||
\(928\) | −49.3328 | − | 35.8424i | −1.61943 | − | 1.17658i | ||||
\(929\) | −19.5344 | − | 33.8346i | −0.640904 | − | 1.11008i | −0.985231 | − | 0.171229i | \(-0.945226\pi\) |
0.344327 | − | 0.938850i | \(-0.388107\pi\) | |||||||
\(930\) | 19.5550 | + | 95.8075i | 0.641234 | + | 3.14165i | ||||
\(931\) | −12.0000 | −0.393284 | ||||||||
\(932\) | 7.41707 | − | 70.5687i | 0.242954 | − | 2.31156i | ||||
\(933\) | −5.85942 | − | 55.7486i | −0.191829 | − | 1.82513i | ||||
\(934\) | 106.576 | + | 22.6535i | 3.48729 | + | 0.741246i | ||||
\(935\) | 9.27051 | 0.303178 | ||||||||
\(936\) | 52.3050 | + | 12.9421i | 1.70964 | + | 0.423026i | ||||
\(937\) | −10.2812 | − | 31.6421i | −0.335871 | − | 1.03370i | −0.966292 | − | 0.257450i | \(-0.917118\pi\) |
0.630421 | − | 0.776253i | \(-0.282882\pi\) | |||||||
\(938\) | 64.3057 | + | 71.4187i | 2.09965 | + | 2.33190i | ||||
\(939\) | 23.5030 | + | 26.1027i | 0.766990 | + | 0.851829i | ||||
\(940\) | 12.8961 | − | 122.698i | 0.420624 | − | 4.00197i | ||||
\(941\) | 2.59017 | + | 7.97172i | 0.0844371 | + | 0.259871i | 0.984357 | − | 0.176184i | \(-0.0563754\pi\) |
−0.899920 | + | 0.436055i | \(0.856375\pi\) | |||||||
\(942\) | −10.3344 | + | 98.3257i | −0.336714 | + | 3.20362i | ||||
\(943\) | −25.1914 | − | 11.2160i | −0.820346 | − | 0.365242i | ||||
\(944\) | 20.5967 | − | 63.3903i | 0.670367 | − | 2.06318i | ||||
\(945\) | 18.3847 | + | 8.18542i | 0.598056 | + | 0.266272i | ||||
\(946\) | −3.96043 | − | 37.6810i | −0.128765 | − | 1.22511i | ||||
\(947\) | 6.96994 | + | 7.74090i | 0.226493 | + | 0.251545i | 0.845671 | − | 0.533705i | \(-0.179201\pi\) |
−0.619178 | + | 0.785251i | \(0.712534\pi\) | |||||||
\(948\) | −144.155 | + | 104.735i | −4.68194 | + | 3.40163i | ||||
\(949\) | 24.6498 | − | 4.39173i | 0.800165 | − | 0.142562i | ||||
\(950\) | 19.4164 | + | 59.7576i | 0.629951 | + | 1.93879i | ||||
\(951\) | 43.4503 | − | 19.3453i | 1.40897 | − | 0.627315i | ||||
\(952\) | −20.7288 | − | 23.0217i | −0.671824 | − | 0.746137i | ||||
\(953\) | −10.5287 | + | 2.23795i | −0.341059 | + | 0.0724942i | −0.375257 | − | 0.926921i | \(-0.622446\pi\) |
0.0341984 | + | 0.999415i | \(0.489112\pi\) | |||||||
\(954\) | 0.618034 | + | 1.90211i | 0.0200096 | + | 0.0615832i | ||||
\(955\) | −20.7812 | − | 35.9940i | −0.672462 | − | 1.16474i | ||||
\(956\) | −2.20820 | − | 3.82472i | −0.0714184 | − | 0.123700i | ||||
\(957\) | 8.68034 | + | 26.7153i | 0.280596 | + | 0.863584i | ||||
\(958\) | −5.21470 | − | 2.32174i | −0.168479 | − | 0.0750119i | ||||
\(959\) | 34.3343 | − | 15.2866i | 1.10871 | − | 0.493631i | ||||
\(960\) | −29.2082 | + | 50.5901i | −0.942691 | + | 1.63279i | ||||
\(961\) | 24.7812 | + | 18.6251i | 0.799392 | + | 0.600810i | ||||
\(962\) | −74.1312 | − | 18.3427i | −2.39009 | − | 0.591393i | ||||
\(963\) | 11.1803 | + | 8.12299i | 0.360281 | + | 0.261760i | ||||
\(964\) | 6.40229 | + | 60.9137i | 0.206204 | + | 1.96190i | ||||
\(965\) | 51.5356 | + | 10.9542i | 1.65899 | + | 0.352629i | ||||
\(966\) | −33.0517 | − | 57.2472i | −1.06342 | − | 1.84190i | ||||
\(967\) | 33.1033 | 1.06453 | 0.532266 | − | 0.846577i | \(-0.321341\pi\) | ||||
0.532266 | + | 0.846577i | \(0.321341\pi\) | |||||||
\(968\) | 29.9990 | − | 33.3173i | 0.964205 | − | 1.07086i | ||||
\(969\) | 18.1359 | − | 3.85489i | 0.582608 | − | 0.123837i | ||||
\(970\) | 1.50000 | − | 4.61653i | 0.0481621 | − | 0.148228i | ||||
\(971\) | −1.30147 | + | 12.3826i | −0.0417661 | + | 0.397378i | 0.953589 | + | 0.301110i | \(0.0973572\pi\) |
−0.995355 | + | 0.0962678i | \(0.969309\pi\) | |||||||
\(972\) | −84.9353 | − | 18.0536i | −2.72430 | − | 0.579068i | ||||
\(973\) | 59.4943 | − | 26.4886i | 1.90730 | − | 0.849184i | ||||
\(974\) | −3.50000 | + | 2.54290i | −0.112147 | + | 0.0814797i | ||||
\(975\) | −32.2313 | − | 1.06803i | −1.03223 | − | 0.0342044i | ||||
\(976\) | −92.1763 | + | 66.9700i | −2.95049 | + | 2.14366i | ||||
\(977\) | 0.553143 | + | 5.26281i | 0.0176966 | + | 0.168372i | 0.999801 | − | 0.0199672i | \(-0.00635619\pi\) |
−0.982104 | + | 0.188339i | \(0.939690\pi\) | |||||||
\(978\) | 19.3675 | + | 21.5098i | 0.619304 | + | 0.687807i | ||||
\(979\) | −3.78747 | − | 1.68629i | −0.121048 | − | 0.0538940i | ||||
\(980\) | 23.5623 | + | 17.1190i | 0.752670 | + | 0.546847i | ||||
\(981\) | 10.8268 | − | 12.0243i | 0.345672 | − | 0.383907i | ||||
\(982\) | −6.62659 | + | 63.0478i | −0.211463 | + | 2.01194i | ||||
\(983\) | −0.0835921 | + | 0.257270i | −0.00266618 | + | 0.00820564i | −0.952381 | − | 0.304911i | \(-0.901373\pi\) |
0.949715 | + | 0.313117i | \(0.101373\pi\) | |||||||
\(984\) | −119.733 | + | 25.4501i | −3.81696 | + | 0.811320i | ||||
\(985\) | −29.1809 | − | 6.20259i | −0.929781 | − | 0.197631i | ||||
\(986\) | 10.1631 | − | 17.6030i | 0.323660 | − | 0.560595i | ||||
\(987\) | 56.8328 | 1.80901 | ||||||||
\(988\) | 86.9527 | − | 58.8761i | 2.76633 | − | 1.87310i | ||||
\(989\) | −19.7082 | + | 14.3188i | −0.626684 | + | 0.455313i | ||||
\(990\) | 32.0879 | − | 14.2865i | 1.01982 | − | 0.454054i | ||||
\(991\) | −20.8156 | + | 36.0537i | −0.661229 | + | 1.14528i | 0.319064 | + | 0.947733i | \(0.396632\pi\) |
−0.980293 | + | 0.197549i | \(0.936702\pi\) | |||||||
\(992\) | 12.0857 | + | 59.2123i | 0.383720 | + | 1.87999i | ||||
\(993\) | 42.3607 | 1.34428 | ||||||||
\(994\) | 3.71727 | − | 35.3675i | 0.117905 | − | 1.12179i | ||||
\(995\) | −37.7219 | − | 16.7949i | −1.19587 | − | 0.532434i | ||||
\(996\) | −40.0623 | − | 123.299i | −1.26942 | − | 3.90688i | ||||
\(997\) | 15.8435 | + | 27.4417i | 0.501767 | + | 0.869087i | 0.999998 | + | 0.00204199i | \(0.000649987\pi\) |
−0.498231 | + | 0.867045i | \(0.666017\pi\) | |||||||
\(998\) | −16.7984 | + | 29.0956i | −0.531743 | + | 0.921006i | ||||
\(999\) | 17.6949 | + | 3.76116i | 0.559840 | + | 0.118998i |
(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.bl.a.126.1 | yes | 8 | |
13.3 | even | 3 | inner | 403.2.bl.a.250.1 | yes | 8 | |
31.16 | even | 5 | inner | 403.2.bl.a.295.1 | yes | 8 | |
403.16 | even | 15 | inner | 403.2.bl.a.16.1 | ✓ | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bl.a.16.1 | ✓ | 8 | 403.16 | even | 15 | inner | |
403.2.bl.a.126.1 | yes | 8 | 1.1 | even | 1 | trivial | |
403.2.bl.a.250.1 | yes | 8 | 13.3 | even | 3 | inner | |
403.2.bl.a.295.1 | yes | 8 | 31.16 | even | 5 | inner |