Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(29,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.29");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bf (of order \(18\), degree \(6\), 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: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 29.5 | ||
Character | \(\chi\) | \(=\) | 570.29 |
Dual form | 570.2.bf.a.59.5 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | −1.23853 | − | 1.21080i | −0.715065 | − | 0.699058i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 1.86795 | − | 1.22913i | 0.835373 | − | 0.549684i | ||||
\(6\) | 1.42997 | + | 0.977341i | 0.583781 | + | 0.398998i | ||||
\(7\) | −1.22822 | − | 0.709111i | −0.464222 | − | 0.268019i | 0.249596 | − | 0.968350i | \(-0.419702\pi\) |
−0.713818 | + | 0.700331i | \(0.753036\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | 0.0679076 | + | 2.99923i | 0.0226359 | + | 0.999744i | ||||
\(10\) | −1.62614 | + | 1.53482i | −0.514229 | + | 0.485354i | ||||
\(11\) | 4.15895 | − | 2.40117i | 1.25397 | − | 0.723980i | 0.282075 | − | 0.959392i | \(-0.408977\pi\) |
0.971896 | + | 0.235413i | \(0.0756441\pi\) | |||||||
\(12\) | −1.57796 | − | 0.714182i | −0.455517 | − | 0.206166i | ||||
\(13\) | 4.38640 | + | 3.68062i | 1.21657 | + | 1.02082i | 0.998997 | + | 0.0447764i | \(0.0142575\pi\) |
0.217570 | + | 0.976045i | \(0.430187\pi\) | |||||||
\(14\) | 1.33269 | + | 0.485061i | 0.356177 | + | 0.129638i | ||||
\(15\) | −3.80175 | − | 0.739407i | −0.981607 | − | 0.190914i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | −0.869046 | − | 4.92861i | −0.210775 | − | 1.19536i | −0.888090 | − | 0.459670i | \(-0.847968\pi\) |
0.677315 | − | 0.735693i | \(-0.263143\pi\) | |||||||
\(18\) | −0.587687 | − | 2.94187i | −0.138519 | − | 0.693406i | ||||
\(19\) | 3.92152 | + | 1.90308i | 0.899658 | + | 0.436596i | ||||
\(20\) | 1.33491 | − | 1.79388i | 0.298495 | − | 0.401124i | ||||
\(21\) | 0.662587 | + | 2.36538i | 0.144588 | + | 0.516169i | ||||
\(22\) | −3.67881 | + | 3.08688i | −0.784324 | + | 0.658126i | ||||
\(23\) | −4.49116 | + | 1.63465i | −0.936471 | + | 0.340847i | −0.764771 | − | 0.644302i | \(-0.777148\pi\) |
−0.171700 | + | 0.985149i | \(0.554926\pi\) | |||||||
\(24\) | 1.67800 | + | 0.429323i | 0.342520 | + | 0.0876351i | ||||
\(25\) | 1.97847 | − | 4.59191i | 0.395695 | − | 0.918382i | ||||
\(26\) | −4.95889 | − | 2.86302i | −0.972518 | − | 0.561484i | ||||
\(27\) | 3.54738 | − | 3.79686i | 0.682693 | − | 0.730706i | ||||
\(28\) | −1.39668 | − | 0.246272i | −0.263947 | − | 0.0465410i | ||||
\(29\) | −0.843948 | + | 4.78627i | −0.156717 | + | 0.888787i | 0.800482 | + | 0.599357i | \(0.204577\pi\) |
−0.957199 | + | 0.289430i | \(0.906534\pi\) | |||||||
\(30\) | 3.87239 | + | 0.0680073i | 0.706998 | + | 0.0124164i | ||||
\(31\) | −8.38379 | − | 4.84038i | −1.50577 | − | 0.869359i | −0.999978 | − | 0.00670539i | \(-0.997866\pi\) |
−0.505796 | − | 0.862653i | \(-0.668801\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | −8.05832 | − | 2.06175i | −1.40277 | − | 0.358905i | ||||
\(34\) | 1.71169 | + | 4.70282i | 0.293552 | + | 0.806527i | ||||
\(35\) | −3.16584 | + | 0.185055i | −0.535124 | + | 0.0312800i | ||||
\(36\) | 1.08961 | + | 2.79513i | 0.181602 | + | 0.465855i | ||||
\(37\) | 6.32334 | 1.03955 | 0.519775 | − | 0.854303i | \(-0.326016\pi\) | ||||
0.519775 | + | 0.854303i | \(0.326016\pi\) | |||||||
\(38\) | −4.19241 | − | 1.19320i | −0.680098 | − | 0.193563i | ||||
\(39\) | −0.976165 | − | 9.86962i | −0.156311 | − | 1.58040i | ||||
\(40\) | −1.00313 | + | 1.99843i | −0.158608 | + | 0.315980i | ||||
\(41\) | 3.61797 | − | 3.03584i | 0.565032 | − | 0.474118i | −0.314961 | − | 0.949105i | \(-0.601992\pi\) |
0.879993 | + | 0.474987i | \(0.157547\pi\) | |||||||
\(42\) | −1.06327 | − | 2.21439i | −0.164065 | − | 0.341688i | ||||
\(43\) | 3.09131 | − | 8.49330i | 0.471420 | − | 1.29522i | −0.445190 | − | 0.895436i | \(-0.646864\pi\) |
0.916611 | − | 0.399781i | \(-0.130914\pi\) | |||||||
\(44\) | 3.08688 | − | 3.67881i | 0.465365 | − | 0.554601i | ||||
\(45\) | 3.81330 | + | 5.51895i | 0.568453 | + | 0.822716i | ||||
\(46\) | 4.13907 | − | 2.38969i | 0.610273 | − | 0.352341i | ||||
\(47\) | −0.195215 | + | 1.10712i | −0.0284750 | + | 0.161490i | −0.995730 | − | 0.0923186i | \(-0.970572\pi\) |
0.967254 | + | 0.253808i | \(0.0816833\pi\) | |||||||
\(48\) | −1.72706 | − | 0.131419i | −0.249279 | − | 0.0189686i | ||||
\(49\) | −2.49432 | − | 4.32029i | −0.356332 | − | 0.617185i | ||||
\(50\) | −1.15104 | + | 4.86571i | −0.162782 | + | 0.688115i | ||||
\(51\) | −4.89124 | + | 7.15647i | −0.684910 | + | 1.00211i | ||||
\(52\) | 5.38071 | + | 1.95842i | 0.746170 | + | 0.271584i | ||||
\(53\) | −0.0601527 | − | 0.165268i | −0.00826261 | − | 0.0227013i | 0.935493 | − | 0.353346i | \(-0.114956\pi\) |
−0.943755 | + | 0.330645i | \(0.892734\pi\) | |||||||
\(54\) | −2.83417 | + | 4.35517i | −0.385681 | + | 0.592664i | ||||
\(55\) | 4.81735 | − | 9.59716i | 0.649572 | − | 1.29408i | ||||
\(56\) | 1.41822 | 0.189518 | ||||||||
\(57\) | −2.55266 | − | 7.10520i | −0.338108 | − | 0.941107i | ||||
\(58\) | − | 4.86010i | − | 0.638163i | ||||||
\(59\) | −0.697387 | − | 3.95508i | −0.0907921 | − | 0.514907i | −0.995956 | − | 0.0898444i | \(-0.971363\pi\) |
0.905164 | − | 0.425063i | \(-0.139748\pi\) | |||||||
\(60\) | −3.82537 | + | 0.605459i | −0.493853 | + | 0.0781644i | ||||
\(61\) | 0.668904 | − | 0.243461i | 0.0856443 | − | 0.0311720i | −0.298843 | − | 0.954302i | \(-0.596601\pi\) |
0.384487 | + | 0.923130i | \(0.374378\pi\) | |||||||
\(62\) | 9.09695 | + | 3.31102i | 1.15531 | + | 0.420500i | ||||
\(63\) | 2.04338 | − | 3.73186i | 0.257442 | − | 0.470170i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 12.7175 | + | 1.48376i | 1.57742 | + | 0.184038i | ||||
\(66\) | 8.29392 | + | 0.631117i | 1.02091 | + | 0.0776851i | ||||
\(67\) | 2.07512 | − | 11.7686i | 0.253516 | − | 1.43776i | −0.546336 | − | 0.837566i | \(-0.683978\pi\) |
0.799852 | − | 0.600197i | \(-0.204911\pi\) | |||||||
\(68\) | −2.50232 | − | 4.33414i | −0.303451 | − | 0.525592i | ||||
\(69\) | 7.54166 | + | 3.41335i | 0.907910 | + | 0.410919i | ||||
\(70\) | 3.08561 | − | 0.731986i | 0.368801 | − | 0.0874890i | ||||
\(71\) | −11.1500 | − | 4.05828i | −1.32327 | − | 0.481630i | −0.418763 | − | 0.908096i | \(-0.637536\pi\) |
−0.904504 | + | 0.426466i | \(0.859758\pi\) | |||||||
\(72\) | −1.55843 | − | 2.56346i | −0.183662 | − | 0.302106i | ||||
\(73\) | −0.496670 | − | 0.591909i | −0.0581309 | − | 0.0692777i | 0.736195 | − | 0.676769i | \(-0.236620\pi\) |
−0.794326 | + | 0.607491i | \(0.792176\pi\) | |||||||
\(74\) | −6.22728 | + | 1.09804i | −0.723906 | + | 0.127644i | ||||
\(75\) | −8.01030 | + | 3.29167i | −0.924950 | + | 0.380089i | ||||
\(76\) | 4.33591 | + | 0.447070i | 0.497363 | + | 0.0512824i | ||||
\(77\) | −6.81079 | −0.776161 | ||||||||
\(78\) | 2.67518 | + | 9.55017i | 0.302904 | + | 1.08134i | ||||
\(79\) | 6.74377 | + | 8.03691i | 0.758733 | + | 0.904223i | 0.997767 | − | 0.0667883i | \(-0.0212752\pi\) |
−0.239034 | + | 0.971011i | \(0.576831\pi\) | |||||||
\(80\) | 0.640862 | − | 2.14226i | 0.0716506 | − | 0.239512i | ||||
\(81\) | −8.99078 | + | 0.407341i | −0.998975 | + | 0.0452602i | ||||
\(82\) | −3.03584 | + | 3.61797i | −0.335252 | + | 0.399538i | ||||
\(83\) | −1.06491 | + | 1.84448i | −0.116889 | + | 0.202458i | −0.918533 | − | 0.395343i | \(-0.870626\pi\) |
0.801644 | + | 0.597801i | \(0.203959\pi\) | |||||||
\(84\) | 1.43164 | + | 1.99612i | 0.156204 | + | 0.217794i | ||||
\(85\) | −7.68124 | − | 8.13822i | −0.833147 | − | 0.882714i | ||||
\(86\) | −1.56950 | + | 8.90107i | −0.169243 | + | 0.959827i | ||||
\(87\) | 6.84048 | − | 4.90607i | 0.733377 | − | 0.525986i | ||||
\(88\) | −2.40117 | + | 4.15895i | −0.255966 | + | 0.443345i | ||||
\(89\) | 0.424481 | + | 0.356182i | 0.0449949 | + | 0.0377552i | 0.665008 | − | 0.746836i | \(-0.268428\pi\) |
−0.620013 | + | 0.784592i | \(0.712873\pi\) | |||||||
\(90\) | −4.71372 | − | 4.77293i | −0.496870 | − | 0.503111i | ||||
\(91\) | −2.77747 | − | 7.63105i | −0.291158 | − | 0.799951i | ||||
\(92\) | −3.66122 | + | 3.07213i | −0.381709 | + | 0.320292i | ||||
\(93\) | 4.52281 | + | 16.1461i | 0.468994 | + | 1.67427i | ||||
\(94\) | − | 1.12420i | − | 0.115952i | ||||||
\(95\) | 9.66433 | − | 1.26520i | 0.991539 | − | 0.129807i | ||||
\(96\) | 1.72364 | − | 0.170478i | 0.175918 | − | 0.0173994i | ||||
\(97\) | 3.40129 | + | 19.2897i | 0.345349 | + | 1.95857i | 0.276825 | + | 0.960920i | \(0.410718\pi\) |
0.0685236 | + | 0.997649i | \(0.478171\pi\) | |||||||
\(98\) | 3.20664 | + | 3.82152i | 0.323919 | + | 0.386032i | ||||
\(99\) | 7.48409 | + | 12.3106i | 0.752179 | + | 1.23726i | ||||
\(100\) | 0.288632 | − | 4.99166i | 0.0288632 | − | 0.499166i | ||||
\(101\) | −4.90930 | + | 5.85068i | −0.488494 | + | 0.582164i | −0.952834 | − | 0.303493i | \(-0.901847\pi\) |
0.464340 | + | 0.885657i | \(0.346292\pi\) | |||||||
\(102\) | 3.57422 | − | 7.89710i | 0.353901 | − | 0.781929i | ||||
\(103\) | 7.05809 | + | 12.2250i | 0.695454 | + | 1.20456i | 0.970027 | + | 0.242996i | \(0.0781301\pi\) |
−0.274573 | + | 0.961566i | \(0.588537\pi\) | |||||||
\(104\) | −5.63904 | − | 0.994315i | −0.552953 | − | 0.0975006i | ||||
\(105\) | 4.14505 | + | 3.60401i | 0.404515 | + | 0.351716i | ||||
\(106\) | 0.0879374 | + | 0.152312i | 0.00854124 | + | 0.0147939i | ||||
\(107\) | −2.82207 | − | 1.62932i | −0.272820 | − | 0.157513i | 0.357348 | − | 0.933971i | \(-0.383681\pi\) |
−0.630168 | + | 0.776458i | \(0.717014\pi\) | |||||||
\(108\) | 2.03484 | − | 4.78115i | 0.195803 | − | 0.460067i | ||||
\(109\) | −5.47763 | + | 15.0497i | −0.524662 | + | 1.44150i | 0.340615 | + | 0.940203i | \(0.389365\pi\) |
−0.865277 | + | 0.501294i | \(0.832858\pi\) | |||||||
\(110\) | −3.07764 | + | 10.2879i | −0.293441 | + | 0.980911i | ||||
\(111\) | −7.83164 | − | 7.65633i | −0.743346 | − | 0.726706i | ||||
\(112\) | −1.39668 | + | 0.246272i | −0.131974 | + | 0.0232705i | ||||
\(113\) | 6.20361i | 0.583587i | 0.956481 | + | 0.291793i | \(0.0942519\pi\) | ||||
−0.956481 | + | 0.291793i | \(0.905748\pi\) | |||||||
\(114\) | 3.74768 | + | 6.55400i | 0.351003 | + | 0.613838i | ||||
\(115\) | −6.38006 | + | 8.57366i | −0.594944 | + | 0.799498i | ||||
\(116\) | 0.843948 | + | 4.78627i | 0.0783586 | + | 0.444394i | ||||
\(117\) | −10.7412 | + | 13.4058i | −0.993021 | + | 1.23936i | ||||
\(118\) | 1.37358 | + | 3.77389i | 0.126449 | + | 0.347415i | ||||
\(119\) | −2.42755 | + | 6.66965i | −0.222533 | + | 0.611406i | ||||
\(120\) | 3.66211 | − | 1.26053i | 0.334304 | − | 0.115070i | ||||
\(121\) | 6.03123 | − | 10.4464i | 0.548294 | − | 0.949673i | ||||
\(122\) | −0.616465 | + | 0.355916i | −0.0558121 | + | 0.0322231i | ||||
\(123\) | −8.15676 | − | 0.620680i | −0.735470 | − | 0.0559648i | ||||
\(124\) | −9.53370 | − | 1.68105i | −0.856151 | − | 0.150963i | ||||
\(125\) | −1.94837 | − | 11.0093i | −0.174267 | − | 0.984698i | ||||
\(126\) | −1.36431 | + | 4.02999i | −0.121542 | + | 0.359020i | ||||
\(127\) | −3.40159 | − | 2.85428i | −0.301843 | − | 0.253276i | 0.479268 | − | 0.877669i | \(-0.340902\pi\) |
−0.781111 | + | 0.624393i | \(0.785347\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | −14.1124 | + | 6.77623i | −1.24253 | + | 0.596614i | ||||
\(130\) | −12.7820 | + | 0.747154i | −1.12105 | + | 0.0655297i | ||||
\(131\) | 8.85370 | − | 1.56115i | 0.773551 | − | 0.136398i | 0.227080 | − | 0.973876i | \(-0.427082\pi\) |
0.546471 | + | 0.837478i | \(0.315971\pi\) | |||||||
\(132\) | −8.27751 | + | 0.818695i | −0.720465 | + | 0.0712583i | ||||
\(133\) | −3.46698 | − | 5.11818i | −0.300625 | − | 0.443803i | ||||
\(134\) | 11.9501i | 1.03234i | ||||||||
\(135\) | 1.95948 | − | 11.4525i | 0.168646 | − | 0.985677i | ||||
\(136\) | 3.21692 | + | 3.83378i | 0.275849 | + | 0.328744i | ||||
\(137\) | 4.36619 | − | 1.58916i | 0.373029 | − | 0.135771i | −0.148701 | − | 0.988882i | \(-0.547509\pi\) |
0.521730 | + | 0.853111i | \(0.325287\pi\) | |||||||
\(138\) | −8.01981 | − | 2.05190i | −0.682692 | − | 0.174669i | ||||
\(139\) | 1.93418 | + | 1.62297i | 0.164055 | + | 0.137658i | 0.721119 | − | 0.692811i | \(-0.243628\pi\) |
−0.557064 | + | 0.830469i | \(0.688072\pi\) | |||||||
\(140\) | −2.91162 | + | 1.25668i | −0.246077 | + | 0.106208i | ||||
\(141\) | 1.58228 | − | 1.13483i | 0.133252 | − | 0.0955701i | ||||
\(142\) | 11.6854 | + | 2.06044i | 0.980614 | + | 0.172909i | ||||
\(143\) | 27.0806 | + | 4.77504i | 2.26459 | + | 0.399309i | ||||
\(144\) | 1.97989 | + | 2.25389i | 0.164991 | + | 0.187825i | ||||
\(145\) | 4.30650 | + | 9.97783i | 0.357635 | + | 0.828613i | ||||
\(146\) | 0.591909 | + | 0.496670i | 0.0489867 | + | 0.0411047i | ||||
\(147\) | −2.14174 | + | 8.37094i | −0.176648 | + | 0.690424i | ||||
\(148\) | 5.94200 | − | 2.16271i | 0.488429 | − | 0.177774i | ||||
\(149\) | −7.24242 | − | 8.63118i | −0.593322 | − | 0.707094i | 0.382919 | − | 0.923782i | \(-0.374919\pi\) |
−0.976241 | + | 0.216688i | \(0.930475\pi\) | |||||||
\(150\) | 7.31701 | − | 4.63264i | 0.597432 | − | 0.378253i | ||||
\(151\) | − | 19.6099i | − | 1.59583i | −0.602772 | − | 0.797914i | \(-0.705937\pi\) | ||
0.602772 | − | 0.797914i | \(-0.294063\pi\) | |||||||
\(152\) | −4.34767 | + | 0.312645i | −0.352643 | + | 0.0253589i | ||||
\(153\) | 14.7230 | − | 2.94116i | 1.19029 | − | 0.237779i | ||||
\(154\) | 6.70732 | − | 1.18268i | 0.540491 | − | 0.0953031i | ||||
\(155\) | −21.6100 | + | 1.26318i | −1.73575 | + | 0.101461i | ||||
\(156\) | −4.29290 | − | 8.94054i | −0.343707 | − | 0.715816i | ||||
\(157\) | 5.00142 | − | 13.7413i | 0.399157 | − | 1.09667i | −0.563539 | − | 0.826089i | \(-0.690561\pi\) |
0.962696 | − | 0.270585i | \(-0.0872172\pi\) | |||||||
\(158\) | −8.03691 | − | 6.74377i | −0.639382 | − | 0.536505i | ||||
\(159\) | −0.125607 | + | 0.277523i | −0.00996125 | + | 0.0220090i | ||||
\(160\) | −0.259126 | + | 2.22100i | −0.0204857 | + | 0.175586i | ||||
\(161\) | 6.67526 | + | 1.17703i | 0.526084 | + | 0.0927628i | ||||
\(162\) | 8.78345 | − | 1.96239i | 0.690093 | − | 0.154180i | ||||
\(163\) | 1.16357 | − | 0.671789i | 0.0911381 | − | 0.0526186i | −0.453738 | − | 0.891135i | \(-0.649910\pi\) |
0.544876 | + | 0.838516i | \(0.316577\pi\) | |||||||
\(164\) | 2.36146 | − | 4.09017i | 0.184399 | − | 0.319389i | ||||
\(165\) | −17.5867 | + | 6.05348i | −1.36912 | + | 0.471263i | ||||
\(166\) | 0.728442 | − | 2.00138i | 0.0565381 | − | 0.155337i | ||||
\(167\) | 0.645971 | + | 1.77479i | 0.0499867 | + | 0.137337i | 0.962174 | − | 0.272437i | \(-0.0878296\pi\) |
−0.912187 | + | 0.409774i | \(0.865607\pi\) | |||||||
\(168\) | −1.75651 | − | 1.71719i | −0.135518 | − | 0.132484i | ||||
\(169\) | 3.43605 | + | 19.4868i | 0.264312 | + | 1.49899i | ||||
\(170\) | 8.97773 | + | 6.68075i | 0.688560 | + | 0.512390i | ||||
\(171\) | −5.44147 | + | 11.8908i | −0.416119 | + | 0.909310i | ||||
\(172\) | − | 9.03839i | − | 0.689170i | ||||||
\(173\) | 4.05906 | − | 0.715722i | 0.308605 | − | 0.0544153i | −0.0172012 | − | 0.999852i | \(-0.505476\pi\) |
0.325806 | + | 0.945437i | \(0.394364\pi\) | |||||||
\(174\) | −5.88463 | + | 6.01938i | −0.446113 | + | 0.456328i | ||||
\(175\) | −5.68617 | + | 4.23690i | −0.429834 | + | 0.320280i | ||||
\(176\) | 1.64250 | − | 4.51272i | 0.123808 | − | 0.340159i | ||||
\(177\) | −3.92509 | + | 5.74288i | −0.295028 | + | 0.431661i | ||||
\(178\) | −0.479883 | − | 0.277060i | −0.0359687 | − | 0.0207666i | ||||
\(179\) | 6.18641 | + | 10.7152i | 0.462394 | + | 0.800890i | 0.999080 | − | 0.0428923i | \(-0.0136572\pi\) |
−0.536686 | + | 0.843782i | \(0.680324\pi\) | |||||||
\(180\) | 5.47092 | + | 3.88189i | 0.407778 | + | 0.289339i | ||||
\(181\) | 8.94578 | + | 1.57738i | 0.664935 | + | 0.117246i | 0.495921 | − | 0.868368i | \(-0.334831\pi\) |
0.169014 | + | 0.985614i | \(0.445942\pi\) | |||||||
\(182\) | 4.06039 | + | 7.03281i | 0.300976 | + | 0.521306i | ||||
\(183\) | −1.12324 | − | 0.508378i | −0.0830323 | − | 0.0375804i | ||||
\(184\) | 3.07213 | − | 3.66122i | 0.226481 | − | 0.269909i | ||||
\(185\) | 11.8117 | − | 7.77222i | 0.868412 | − | 0.571425i | ||||
\(186\) | −7.25784 | − | 15.1154i | −0.532170 | − | 1.10832i | ||||
\(187\) | −15.4487 | − | 18.4111i | −1.12972 | − | 1.34635i | ||||
\(188\) | 0.195215 | + | 1.10712i | 0.0142375 | + | 0.0807450i | ||||
\(189\) | −7.04934 | + | 2.14788i | −0.512764 | + | 0.156235i | ||||
\(190\) | −9.29781 | + | 2.92418i | −0.674534 | + | 0.212142i | ||||
\(191\) | 22.4414i | 1.62380i | 0.583795 | + | 0.811901i | \(0.301567\pi\) | ||||
−0.583795 | + | 0.811901i | \(0.698433\pi\) | |||||||
\(192\) | −1.66785 | + | 0.467196i | −0.120367 | + | 0.0337169i | ||||
\(193\) | −7.75600 | + | 6.50806i | −0.558289 | + | 0.468460i | −0.877736 | − | 0.479144i | \(-0.840947\pi\) |
0.319447 | + | 0.947604i | \(0.396503\pi\) | |||||||
\(194\) | −6.69923 | − | 18.4060i | −0.480977 | − | 1.32147i | ||||
\(195\) | −13.9545 | − | 17.2361i | −0.999302 | − | 1.23430i | ||||
\(196\) | −3.82152 | − | 3.20664i | −0.272966 | − | 0.229046i | ||||
\(197\) | −0.395106 | + | 0.684343i | −0.0281501 | + | 0.0487574i | −0.879757 | − | 0.475423i | \(-0.842295\pi\) |
0.851607 | + | 0.524181i | \(0.175628\pi\) | |||||||
\(198\) | −9.50810 | − | 10.8240i | −0.675711 | − | 0.769226i | ||||
\(199\) | −2.50621 | + | 14.2134i | −0.177661 | + | 1.00756i | 0.757367 | + | 0.652989i | \(0.226485\pi\) |
−0.935028 | + | 0.354575i | \(0.884626\pi\) | |||||||
\(200\) | 0.582546 | + | 4.96595i | 0.0411923 | + | 0.351146i | ||||
\(201\) | −16.8196 | + | 12.0632i | −1.18636 | + | 0.850871i | ||||
\(202\) | 3.81876 | − | 6.61428i | 0.268687 | − | 0.465379i | ||||
\(203\) | 4.43055 | − | 5.28012i | 0.310963 | − | 0.370592i | ||||
\(204\) | −2.14860 | + | 8.39778i | −0.150432 | + | 0.587962i | ||||
\(205\) | 3.02674 | − | 10.1177i | 0.211397 | − | 0.706654i | ||||
\(206\) | −9.07370 | − | 10.8136i | −0.632195 | − | 0.753420i | ||||
\(207\) | −5.20767 | − | 13.3590i | −0.361958 | − | 0.928515i | ||||
\(208\) | 5.72603 | 0.397029 | ||||||||
\(209\) | 20.8790 | − | 1.50143i | 1.44423 | − | 0.103856i | ||||
\(210\) | −4.70790 | − | 2.82948i | −0.324876 | − | 0.195253i | ||||
\(211\) | −12.2236 | + | 2.15536i | −0.841510 | + | 0.148381i | −0.577756 | − | 0.816209i | \(-0.696072\pi\) |
−0.263753 | + | 0.964590i | \(0.584961\pi\) | |||||||
\(212\) | −0.113050 | − | 0.134728i | −0.00776432 | − | 0.00925315i | ||||
\(213\) | 8.89586 | + | 18.5268i | 0.609535 | + | 1.26944i | ||||
\(214\) | 3.06213 | + | 1.11452i | 0.209323 | + | 0.0761872i | ||||
\(215\) | −4.66497 | − | 19.6647i | −0.318148 | − | 1.34112i | ||||
\(216\) | −1.17369 | + | 5.06186i | −0.0798594 | + | 0.344416i | ||||
\(217\) | 6.86474 | + | 11.8901i | 0.466009 | + | 0.807151i | ||||
\(218\) | 2.78107 | − | 15.7722i | 0.188358 | − | 1.06823i | ||||
\(219\) | −0.101545 | + | 1.33447i | −0.00686176 | + | 0.0901749i | ||||
\(220\) | 1.24441 | − | 10.6660i | 0.0838982 | − | 0.719102i | ||||
\(221\) | 14.3284 | − | 24.8174i | 0.963830 | − | 1.66940i | ||||
\(222\) | 9.04217 | + | 6.18006i | 0.606871 | + | 0.414778i | ||||
\(223\) | −18.9999 | − | 6.91541i | −1.27233 | − | 0.463090i | −0.384442 | − | 0.923149i | \(-0.625606\pi\) |
−0.887888 | + | 0.460059i | \(0.847828\pi\) | |||||||
\(224\) | 1.33269 | − | 0.485061i | 0.0890443 | − | 0.0324095i | ||||
\(225\) | 13.9066 | + | 5.62208i | 0.927104 | + | 0.374805i | ||||
\(226\) | −1.07725 | − | 6.10936i | −0.0716573 | − | 0.406389i | ||||
\(227\) | 26.6214i | 1.76692i | 0.468502 | + | 0.883462i | \(0.344794\pi\) | ||||
−0.468502 | + | 0.883462i | \(0.655206\pi\) | |||||||
\(228\) | −4.82884 | − | 5.80365i | −0.319798 | − | 0.384356i | ||||
\(229\) | 20.0431 | 1.32448 | 0.662241 | − | 0.749291i | \(-0.269605\pi\) | ||||
0.662241 | + | 0.749291i | \(0.269605\pi\) | |||||||
\(230\) | 4.79433 | − | 9.55129i | 0.316129 | − | 0.629793i | ||||
\(231\) | 8.43536 | + | 8.24653i | 0.555006 | + | 0.542582i | ||||
\(232\) | −1.66225 | − | 4.56700i | −0.109132 | − | 0.299838i | ||||
\(233\) | −2.34476 | − | 0.853421i | −0.153610 | − | 0.0559095i | 0.264071 | − | 0.964503i | \(-0.414935\pi\) |
−0.417681 | + | 0.908594i | \(0.637157\pi\) | |||||||
\(234\) | 8.25010 | − | 15.0673i | 0.539326 | − | 0.984979i | ||||
\(235\) | 0.996143 | + | 2.30799i | 0.0649812 | + | 0.150557i | ||||
\(236\) | −2.00805 | − | 3.47804i | −0.130713 | − | 0.226401i | ||||
\(237\) | 1.37877 | − | 18.1193i | 0.0895608 | − | 1.17698i | ||||
\(238\) | 1.23250 | − | 6.98986i | 0.0798912 | − | 0.453085i | ||||
\(239\) | 12.5280 | − | 7.23302i | 0.810367 | − | 0.467865i | −0.0367166 | − | 0.999326i | \(-0.511690\pi\) |
0.847083 | + | 0.531460i | \(0.178357\pi\) | |||||||
\(240\) | −3.38759 | + | 1.87730i | −0.218668 | + | 0.121179i | ||||
\(241\) | 8.99940 | − | 10.7251i | 0.579702 | − | 0.690862i | −0.393890 | − | 0.919158i | \(-0.628871\pi\) |
0.973592 | + | 0.228295i | \(0.0733152\pi\) | |||||||
\(242\) | −4.12561 | + | 11.3350i | −0.265204 | + | 0.728642i | ||||
\(243\) | 11.6285 | + | 10.3816i | 0.745972 | + | 0.665978i | ||||
\(244\) | 0.545295 | − | 0.457557i | 0.0349089 | − | 0.0292921i | ||||
\(245\) | −9.96948 | − | 5.00424i | −0.636926 | − | 0.319709i | ||||
\(246\) | 8.14062 | − | 0.805156i | 0.519027 | − | 0.0513349i | ||||
\(247\) | 10.1968 | + | 22.7813i | 0.648808 | + | 1.44954i | ||||
\(248\) | 9.68077 | 0.614729 | ||||||||
\(249\) | 3.55223 | − | 0.995044i | 0.225113 | − | 0.0630583i | ||||
\(250\) | 3.83051 | + | 10.5037i | 0.242263 | + | 0.664311i | ||||
\(251\) | 8.28066 | + | 22.7509i | 0.522670 | + | 1.43602i | 0.867537 | + | 0.497373i | \(0.165702\pi\) |
−0.344866 | + | 0.938652i | \(0.612076\pi\) | |||||||
\(252\) | 0.643781 | − | 4.20568i | 0.0405544 | − | 0.264933i | ||||
\(253\) | −14.7534 | + | 17.5824i | −0.927540 | + | 1.10540i | ||||
\(254\) | 3.84556 | + | 2.22023i | 0.241292 | + | 0.139310i | ||||
\(255\) | −0.340352 | + | 19.3799i | −0.0213136 | + | 1.21362i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −22.8296 | − | 4.02548i | −1.42407 | − | 0.251102i | −0.592075 | − | 0.805883i | \(-0.701691\pi\) |
−0.831997 | + | 0.554780i | \(0.812802\pi\) | |||||||
\(258\) | 12.7213 | − | 9.12388i | 0.791995 | − | 0.568028i | ||||
\(259\) | −7.76643 | − | 4.48395i | −0.482583 | − | 0.278619i | ||||
\(260\) | 12.4581 | − | 2.95537i | 0.772616 | − | 0.183284i | ||||
\(261\) | −14.4124 | − | 2.20617i | −0.892107 | − | 0.136559i | ||||
\(262\) | −8.44810 | + | 3.07486i | −0.521925 | + | 0.189965i | ||||
\(263\) | −3.44475 | + | 2.89049i | −0.212412 | + | 0.178235i | −0.742786 | − | 0.669529i | \(-0.766496\pi\) |
0.530374 | + | 0.847764i | \(0.322052\pi\) | |||||||
\(264\) | 8.00959 | − | 2.24363i | 0.492956 | − | 0.138086i | ||||
\(265\) | −0.315499 | − | 0.234777i | −0.0193809 | − | 0.0144223i | ||||
\(266\) | 4.30307 | + | 4.43839i | 0.263838 | + | 0.272135i | ||||
\(267\) | −0.0944657 | − | 0.955105i | −0.00578120 | − | 0.0584515i | ||||
\(268\) | −2.07512 | − | 11.7686i | −0.126758 | − | 0.718881i | ||||
\(269\) | 2.33247 | − | 1.95718i | 0.142213 | − | 0.119331i | −0.568906 | − | 0.822403i | \(-0.692633\pi\) |
0.711119 | + | 0.703072i | \(0.248189\pi\) | |||||||
\(270\) | 0.0589951 | + | 11.6188i | 0.00359033 | + | 0.707098i | ||||
\(271\) | 9.53733 | + | 3.47130i | 0.579351 | + | 0.210867i | 0.615040 | − | 0.788496i | \(-0.289140\pi\) |
−0.0356881 | + | 0.999363i | \(0.511362\pi\) | |||||||
\(272\) | −3.83378 | − | 3.21692i | −0.232457 | − | 0.195054i | ||||
\(273\) | −5.79972 | + | 12.8142i | −0.351015 | + | 0.775553i | ||||
\(274\) | −4.02390 | + | 2.32320i | −0.243093 | + | 0.140350i | ||||
\(275\) | −2.79759 | − | 23.8482i | −0.168701 | − | 1.43810i | ||||
\(276\) | 8.25428 | + | 0.628101i | 0.496849 | + | 0.0378072i | ||||
\(277\) | −3.83354 | + | 2.21329i | −0.230335 | + | 0.132984i | −0.610727 | − | 0.791842i | \(-0.709123\pi\) |
0.380392 | + | 0.924825i | \(0.375789\pi\) | |||||||
\(278\) | −2.18662 | − | 1.26244i | −0.131145 | − | 0.0757164i | ||||
\(279\) | 13.9481 | − | 25.4736i | 0.835051 | − | 1.52507i | ||||
\(280\) | 2.64917 | − | 1.74318i | 0.158318 | − | 0.104175i | ||||
\(281\) | 28.9911 | − | 10.5519i | 1.72946 | − | 0.629472i | 0.730869 | − | 0.682518i | \(-0.239115\pi\) |
0.998592 | + | 0.0530452i | \(0.0168927\pi\) | |||||||
\(282\) | −1.36118 | + | 1.39235i | −0.0810573 | + | 0.0829133i | ||||
\(283\) | 11.7937 | − | 2.07954i | 0.701060 | − | 0.123616i | 0.188254 | − | 0.982120i | \(-0.439717\pi\) |
0.512806 | + | 0.858505i | \(0.328606\pi\) | |||||||
\(284\) | −11.8656 | −0.704095 | ||||||||
\(285\) | −13.5015 | − | 10.1346i | −0.799758 | − | 0.600323i | ||||
\(286\) | −27.4984 | −1.62601 | ||||||||
\(287\) | −6.59639 | + | 1.16312i | −0.389373 | + | 0.0686569i | ||||
\(288\) | −2.34119 | − | 1.87585i | −0.137956 | − | 0.110535i | ||||
\(289\) | −7.56114 | + | 2.75203i | −0.444773 | + | 0.161884i | ||||
\(290\) | −5.97370 | − | 9.07843i | −0.350788 | − | 0.533104i | ||||
\(291\) | 19.1434 | − | 28.0091i | 1.12221 | − | 1.64192i | ||||
\(292\) | −0.669162 | − | 0.386341i | −0.0391598 | − | 0.0226089i | ||||
\(293\) | −1.00629 | + | 0.580979i | −0.0587878 | + | 0.0339412i | −0.529106 | − | 0.848556i | \(-0.677473\pi\) |
0.470318 | + | 0.882497i | \(0.344139\pi\) | |||||||
\(294\) | 0.655601 | − | 8.61568i | 0.0382354 | − | 0.502477i | ||||
\(295\) | −6.16399 | − | 6.53071i | −0.358882 | − | 0.380233i | ||||
\(296\) | −5.47617 | + | 3.16167i | −0.318296 | + | 0.183768i | ||||
\(297\) | 5.63645 | − | 24.3088i | 0.327060 | − | 1.41054i | ||||
\(298\) | 8.63118 | + | 7.24242i | 0.499991 | + | 0.419542i | ||||
\(299\) | −25.7165 | − | 9.36004i | −1.48722 | − | 0.541305i | ||||
\(300\) | −6.40140 | + | 5.83284i | −0.369585 | + | 0.336759i | ||||
\(301\) | −9.81950 | + | 8.23954i | −0.565986 | + | 0.474919i | ||||
\(302\) | 3.40521 | + | 19.3119i | 0.195948 | + | 1.11128i | ||||
\(303\) | 13.1643 | − | 1.30203i | 0.756271 | − | 0.0747998i | ||||
\(304\) | 4.22733 | − | 1.06286i | 0.242454 | − | 0.0609592i | ||||
\(305\) | 0.950233 | − | 1.27694i | 0.0544102 | − | 0.0731175i | ||||
\(306\) | −13.9886 | + | 5.45310i | −0.799676 | + | 0.311733i | ||||
\(307\) | −6.69443 | + | 5.61729i | −0.382071 | + | 0.320596i | −0.813515 | − | 0.581544i | \(-0.802449\pi\) |
0.431444 | + | 0.902140i | \(0.358004\pi\) | |||||||
\(308\) | −6.40005 | + | 2.32943i | −0.364676 | + | 0.132731i | ||||
\(309\) | 6.06039 | − | 23.6869i | 0.344764 | − | 1.34750i | ||||
\(310\) | 21.0623 | − | 4.99652i | 1.19626 | − | 0.283783i | ||||
\(311\) | −15.1358 | − | 8.73866i | −0.858273 | − | 0.495524i | 0.00516087 | − | 0.999987i | \(-0.498357\pi\) |
−0.863433 | + | 0.504463i | \(0.831691\pi\) | |||||||
\(312\) | 5.78019 | + | 8.05926i | 0.327239 | + | 0.456266i | ||||
\(313\) | 10.9107 | + | 1.92385i | 0.616709 | + | 0.108742i | 0.473271 | − | 0.880917i | \(-0.343073\pi\) |
0.143438 | + | 0.989659i | \(0.454184\pi\) | |||||||
\(314\) | −2.53929 | + | 14.4010i | −0.143300 | + | 0.812696i | ||||
\(315\) | −0.770007 | − | 9.48251i | −0.0433850 | − | 0.534279i | ||||
\(316\) | 9.08585 | + | 5.24572i | 0.511119 | + | 0.295095i | ||||
\(317\) | −6.37530 | + | 7.59779i | −0.358073 | + | 0.426734i | −0.914766 | − | 0.403984i | \(-0.867625\pi\) |
0.556694 | + | 0.830718i | \(0.312070\pi\) | |||||||
\(318\) | 0.0755070 | − | 0.295118i | 0.00423422 | − | 0.0165494i | ||||
\(319\) | 7.98270 | + | 21.9323i | 0.446946 | + | 1.22797i | ||||
\(320\) | −0.130484 | − | 2.23226i | −0.00729426 | − | 0.124787i | ||||
\(321\) | 1.52243 | + | 5.43494i | 0.0849735 | + | 0.303349i | ||||
\(322\) | −6.77824 | −0.377736 | ||||||||
\(323\) | 5.97154 | − | 20.9815i | 0.332265 | − | 1.16744i | ||||
\(324\) | −8.30925 | + | 3.45780i | −0.461625 | + | 0.192100i | ||||
\(325\) | 25.5795 | − | 12.8599i | 1.41889 | − | 0.713340i | ||||
\(326\) | −1.02924 | + | 0.863636i | −0.0570044 | + | 0.0478324i | ||||
\(327\) | 25.0064 | − | 12.0071i | 1.38286 | − | 0.663995i | ||||
\(328\) | −1.61533 | + | 4.43810i | −0.0891919 | + | 0.245053i | ||||
\(329\) | 1.02484 | − | 1.22135i | 0.0565011 | − | 0.0673354i | ||||
\(330\) | 16.2684 | − | 9.01542i | 0.895543 | − | 0.496282i | ||||
\(331\) | −1.54553 | + | 0.892314i | −0.0849502 | + | 0.0490460i | −0.541873 | − | 0.840460i | \(-0.682285\pi\) |
0.456923 | + | 0.889506i | \(0.348951\pi\) | |||||||
\(332\) | −0.369840 | + | 2.09747i | −0.0202976 | + | 0.115113i | ||||
\(333\) | 0.429403 | + | 18.9652i | 0.0235311 | + | 1.03928i | ||||
\(334\) | −0.944346 | − | 1.63566i | −0.0516723 | − | 0.0894991i | ||||
\(335\) | −10.5889 | − | 24.5337i | −0.578535 | − | 1.34042i | ||||
\(336\) | 2.02801 | + | 1.38609i | 0.110637 | + | 0.0756172i | ||||
\(337\) | −13.7974 | − | 5.02183i | −0.751590 | − | 0.273557i | −0.0623155 | − | 0.998056i | \(-0.519849\pi\) |
−0.689275 | + | 0.724500i | \(0.742071\pi\) | |||||||
\(338\) | −6.76771 | − | 18.5941i | −0.368115 | − | 1.01139i | ||||
\(339\) | 7.51136 | − | 7.68335i | 0.407961 | − | 0.417302i | ||||
\(340\) | −10.0014 | − | 5.02029i | −0.542404 | − | 0.272263i | ||||
\(341\) | −46.4903 | −2.51759 | ||||||||
\(342\) | 3.29399 | − | 12.6550i | 0.178119 | − | 0.684305i | ||||
\(343\) | 17.0026i | 0.918052i | ||||||||
\(344\) | 1.56950 | + | 8.90107i | 0.0846217 | + | 0.479914i | ||||
\(345\) | 18.2829 | − | 2.89372i | 0.984319 | − | 0.155793i | ||||
\(346\) | −3.87311 | + | 1.40970i | −0.208220 | + | 0.0757857i | ||||
\(347\) | 12.3781 | + | 4.50525i | 0.664490 | + | 0.241855i | 0.652174 | − | 0.758069i | \(-0.273857\pi\) |
0.0123165 | + | 0.999924i | \(0.496079\pi\) | |||||||
\(348\) | 4.74998 | − | 6.94978i | 0.254625 | − | 0.372548i | ||||
\(349\) | −0.140899 | + | 0.244043i | −0.00754213 | + | 0.0130633i | −0.869772 | − | 0.493454i | \(-0.835734\pi\) |
0.862230 | + | 0.506517i | \(0.169067\pi\) | |||||||
\(350\) | 4.86405 | − | 5.15993i | 0.259995 | − | 0.275810i | ||||
\(351\) | 29.5350 | − | 3.59797i | 1.57646 | − | 0.192045i | ||||
\(352\) | −0.833918 | + | 4.72938i | −0.0444480 | + | 0.252077i | ||||
\(353\) | 2.12483 | + | 3.68032i | 0.113093 | + | 0.195884i | 0.917016 | − | 0.398850i | \(-0.130591\pi\) |
−0.803923 | + | 0.594734i | \(0.797257\pi\) | |||||||
\(354\) | 2.86822 | − | 6.33722i | 0.152444 | − | 0.336819i | ||||
\(355\) | −25.8159 | + | 6.12419i | −1.37016 | + | 0.325038i | ||||
\(356\) | 0.520703 | + | 0.189521i | 0.0275972 | + | 0.0100446i | ||||
\(357\) | 11.0822 | − | 5.32126i | 0.586534 | − | 0.281631i | ||||
\(358\) | −7.95310 | − | 9.47813i | −0.420334 | − | 0.500935i | ||||
\(359\) | −4.39502 | + | 0.774960i | −0.231960 | + | 0.0409008i | −0.288420 | − | 0.957504i | \(-0.593130\pi\) |
0.0564597 | + | 0.998405i | \(0.482019\pi\) | |||||||
\(360\) | −6.06188 | − | 2.87290i | −0.319489 | − | 0.151415i | ||||
\(361\) | 11.7566 | + | 14.9259i | 0.618768 | + | 0.785574i | ||||
\(362\) | −9.08379 | −0.477433 | ||||||||
\(363\) | −20.1184 | + | 5.63553i | −1.05594 | + | 0.295789i | ||||
\(364\) | −5.21994 | − | 6.22088i | −0.273599 | − | 0.326063i | ||||
\(365\) | −1.65529 | − | 0.495183i | −0.0866418 | − | 0.0259191i | ||||
\(366\) | 1.19445 | + | 0.305606i | 0.0624351 | + | 0.0159743i | ||||
\(367\) | 3.08143 | − | 3.67231i | 0.160850 | − | 0.191693i | −0.679600 | − | 0.733583i | \(-0.737847\pi\) |
0.840449 | + | 0.541890i | \(0.182291\pi\) | |||||||
\(368\) | −2.38969 | + | 4.13907i | −0.124571 | + | 0.215764i | ||||
\(369\) | 9.35086 | + | 10.6450i | 0.486786 | + | 0.554155i | ||||
\(370\) | −10.2826 | + | 9.70522i | −0.534567 | + | 0.504550i | ||||
\(371\) | −0.0433130 | + | 0.245640i | −0.00224870 | + | 0.0127530i | ||||
\(372\) | 9.77234 | + | 13.6255i | 0.506672 | + | 0.706447i | ||||
\(373\) | 7.49476 | − | 12.9813i | 0.388064 | − | 0.672147i | −0.604125 | − | 0.796890i | \(-0.706477\pi\) |
0.992189 | + | 0.124743i | \(0.0398106\pi\) | |||||||
\(374\) | 18.4111 | + | 15.4487i | 0.952015 | + | 0.798835i | ||||
\(375\) | −10.9169 | + | 15.9944i | −0.563749 | + | 0.825946i | ||||
\(376\) | −0.384498 | − | 1.05640i | −0.0198290 | − | 0.0544797i | ||||
\(377\) | −21.3183 | + | 17.8882i | −1.09795 | + | 0.921289i | ||||
\(378\) | 6.56927 | − | 3.33935i | 0.337887 | − | 0.171758i | ||||
\(379\) | − | 16.5268i | − | 0.848924i | −0.905446 | − | 0.424462i | \(-0.860463\pi\) | ||
0.905446 | − | 0.424462i | \(-0.139537\pi\) | |||||||
\(380\) | 8.64877 | − | 4.49430i | 0.443673 | − | 0.230553i | ||||
\(381\) | 0.757003 | + | 7.65377i | 0.0387825 | + | 0.392114i | ||||
\(382\) | −3.89691 | − | 22.1005i | −0.199383 | − | 1.13076i | ||||
\(383\) | 4.62139 | + | 5.50756i | 0.236142 | + | 0.281423i | 0.871081 | − | 0.491139i | \(-0.163419\pi\) |
−0.634939 | + | 0.772562i | \(0.718975\pi\) | |||||||
\(384\) | 1.56139 | − | 0.749717i | 0.0796791 | − | 0.0382588i | ||||
\(385\) | −12.7222 | + | 8.37135i | −0.648384 | + | 0.426643i | ||||
\(386\) | 6.50806 | − | 7.75600i | 0.331251 | − | 0.394770i | ||||
\(387\) | 25.6833 | + | 8.69479i | 1.30556 | + | 0.441981i | ||||
\(388\) | 9.79363 | + | 16.9631i | 0.497196 | + | 0.861169i | ||||
\(389\) | 25.3831 | + | 4.47573i | 1.28697 | + | 0.226928i | 0.774939 | − | 0.632036i | \(-0.217781\pi\) |
0.512036 | + | 0.858964i | \(0.328892\pi\) | |||||||
\(390\) | 16.7355 | + | 14.5511i | 0.847435 | + | 0.736824i | ||||
\(391\) | 11.9596 | + | 20.7146i | 0.604821 | + | 1.04758i | ||||
\(392\) | 4.32029 | + | 2.49432i | 0.218208 | + | 0.125982i | ||||
\(393\) | −12.8558 | − | 8.78657i | −0.648489 | − | 0.443224i | ||||
\(394\) | 0.270268 | − | 0.742556i | 0.0136159 | − | 0.0374094i | ||||
\(395\) | 22.4754 | + | 6.72357i | 1.13086 | + | 0.338300i | ||||
\(396\) | 11.2432 | + | 9.00846i | 0.564993 | + | 0.452692i | ||||
\(397\) | −28.0894 | + | 4.95291i | −1.40976 | + | 0.248580i | −0.826150 | − | 0.563451i | \(-0.809473\pi\) |
−0.583615 | + | 0.812030i | \(0.698362\pi\) | |||||||
\(398\) | − | 14.4327i | − | 0.723446i | ||||||
\(399\) | −1.90316 | + | 10.5369i | −0.0952773 | + | 0.527502i | ||||
\(400\) | −1.43602 | − | 4.78935i | −0.0718012 | − | 0.239467i | ||||
\(401\) | −0.583919 | − | 3.31157i | −0.0291595 | − | 0.165372i | 0.966751 | − | 0.255721i | \(-0.0823128\pi\) |
−0.995910 | + | 0.0903491i | \(0.971202\pi\) | |||||||
\(402\) | 14.4693 | − | 14.8006i | 0.721662 | − | 0.738187i | ||||
\(403\) | −18.9590 | − | 52.0894i | −0.944415 | − | 2.59476i | ||||
\(404\) | −2.61218 | + | 7.17692i | −0.129961 | + | 0.357065i | ||||
\(405\) | −16.2936 | + | 11.8117i | −0.809638 | + | 0.586930i | ||||
\(406\) | −3.44635 | + | 5.96926i | −0.171040 | + | 0.296249i | ||||
\(407\) | 26.2984 | − | 15.1834i | 1.30357 | − | 0.752614i | ||||
\(408\) | 0.657703 | − | 8.64330i | 0.0325611 | − | 0.427907i | ||||
\(409\) | −35.2334 | − | 6.21261i | −1.74218 | − | 0.307194i | −0.790087 | − | 0.612995i | \(-0.789964\pi\) |
−0.952095 | + | 0.305802i | \(0.901076\pi\) | |||||||
\(410\) | −1.22383 | + | 10.4896i | −0.0604408 | + | 0.518046i | ||||
\(411\) | −7.33182 | − | 3.31838i | −0.361652 | − | 0.163683i | ||||
\(412\) | 10.8136 | + | 9.07370i | 0.532749 | + | 0.447029i | ||||
\(413\) | −1.94805 | + | 5.35222i | −0.0958572 | + | 0.263366i | ||||
\(414\) | 7.44832 | + | 12.2518i | 0.366065 | + | 0.602141i | ||||
\(415\) | 0.277907 | + | 4.75431i | 0.0136419 | + | 0.233380i | ||||
\(416\) | −5.63904 | + | 0.994315i | −0.276477 | + | 0.0487503i | ||||
\(417\) | −0.430439 | − | 4.35200i | −0.0210787 | − | 0.213118i | ||||
\(418\) | −20.3011 | + | 5.10422i | −0.992958 | + | 0.249655i | ||||
\(419\) | − | 0.791705i | − | 0.0386773i | −0.999813 | − | 0.0193387i | \(-0.993844\pi\) | ||
0.999813 | − | 0.0193387i | \(-0.00615607\pi\) | |||||||
\(420\) | 5.12772 | + | 1.96898i | 0.250207 | + | 0.0960761i | ||||
\(421\) | 12.1149 | + | 14.4380i | 0.590445 | + | 0.703665i | 0.975692 | − | 0.219148i | \(-0.0703279\pi\) |
−0.385246 | + | 0.922814i | \(0.625883\pi\) | |||||||
\(422\) | 11.6637 | − | 4.24522i | 0.567778 | − | 0.206654i | ||||
\(423\) | −3.33376 | − | 0.510313i | −0.162093 | − | 0.0248123i | ||||
\(424\) | 0.134728 | + | 0.113050i | 0.00654297 | + | 0.00549020i | ||||
\(425\) | −24.3511 | − | 5.76054i | −1.18120 | − | 0.279427i | ||||
\(426\) | −11.9779 | − | 16.7006i | −0.580329 | − | 0.809147i | ||||
\(427\) | −0.994199 | − | 0.175304i | −0.0481127 | − | 0.00848356i | ||||
\(428\) | −3.20914 | − | 0.565858i | −0.155120 | − | 0.0273518i | ||||
\(429\) | −27.7585 | − | 38.7033i | −1.34019 | − | 1.86861i | ||||
\(430\) | 8.00884 | + | 18.5559i | 0.386220 | + | 0.894844i | ||||
\(431\) | −7.47680 | − | 6.27378i | −0.360145 | − | 0.302197i | 0.444704 | − | 0.895678i | \(-0.353309\pi\) |
−0.804848 | + | 0.593480i | \(0.797753\pi\) | |||||||
\(432\) | 0.276874 | − | 5.18877i | 0.0133211 | − | 0.249645i | ||||
\(433\) | −17.3942 | + | 6.33098i | −0.835913 | + | 0.304247i | −0.724283 | − | 0.689503i | \(-0.757829\pi\) |
−0.111629 | + | 0.993750i | \(0.535607\pi\) | |||||||
\(434\) | −8.82514 | − | 10.5174i | −0.423620 | − | 0.504851i | ||||
\(435\) | 6.74747 | − | 17.5721i | 0.323517 | − | 0.842520i | ||||
\(436\) | 16.0155i | 0.767004i | ||||||||
\(437\) | −20.7230 | − | 2.13672i | −0.991316 | − | 0.102213i | ||||
\(438\) | −0.131726 | − | 1.33183i | −0.00629409 | − | 0.0636371i | ||||
\(439\) | −17.0425 | + | 3.00505i | −0.813394 | + | 0.143423i | −0.564846 | − | 0.825196i | \(-0.691065\pi\) |
−0.248548 | + | 0.968620i | \(0.579953\pi\) | |||||||
\(440\) | 0.626627 | + | 10.7201i | 0.0298733 | + | 0.511059i | ||||
\(441\) | 12.7882 | − | 7.77443i | 0.608961 | − | 0.370211i | ||||
\(442\) | −9.80118 | + | 26.9285i | −0.466194 | + | 1.28086i | ||||
\(443\) | 5.68509 | + | 4.77036i | 0.270107 | + | 0.226647i | 0.767773 | − | 0.640722i | \(-0.221365\pi\) |
−0.497666 | + | 0.867369i | \(0.665809\pi\) | |||||||
\(444\) | −9.97795 | − | 4.51601i | −0.473533 | − | 0.214321i | ||||
\(445\) | 1.23070 | + | 0.143587i | 0.0583410 | + | 0.00680669i | ||||
\(446\) | 19.9121 | + | 3.51105i | 0.942867 | + | 0.166253i | ||||
\(447\) | −1.48072 | + | 19.4591i | −0.0700357 | + | 0.920385i | ||||
\(448\) | −1.22822 | + | 0.709111i | −0.0580278 | + | 0.0335024i | ||||
\(449\) | 3.42022 | − | 5.92399i | 0.161410 | − | 0.279570i | −0.773965 | − | 0.633229i | \(-0.781729\pi\) |
0.935375 | + | 0.353658i | \(0.115062\pi\) | |||||||
\(450\) | −14.6715 | − | 3.12182i | −0.691623 | − | 0.147164i | ||||
\(451\) | 7.75739 | − | 21.3132i | 0.365281 | − | 1.00360i | ||||
\(452\) | 2.12176 | + | 5.82949i | 0.0997992 | + | 0.274196i | ||||
\(453\) | −23.7437 | + | 24.2874i | −1.11558 | + | 1.14112i | ||||
\(454\) | −4.62276 | − | 26.2170i | −0.216957 | − | 1.23042i | ||||
\(455\) | −14.5677 | − | 10.8405i | −0.682946 | − | 0.508212i | ||||
\(456\) | 5.76327 | + | 4.87696i | 0.269890 | + | 0.228385i | ||||
\(457\) | − | 1.24574i | − | 0.0582734i | −0.999575 | − | 0.0291367i | \(-0.990724\pi\) | ||
0.999575 | − | 0.0291367i | \(-0.00927581\pi\) | |||||||
\(458\) | −19.7386 | + | 3.48044i | −0.922322 | + | 0.162630i | ||||
\(459\) | −21.7960 | − | 14.1840i | −1.01735 | − | 0.662051i | ||||
\(460\) | −3.06293 | + | 10.2387i | −0.142810 | + | 0.477382i | ||||
\(461\) | −4.17855 | + | 11.4805i | −0.194614 | + | 0.534699i | −0.998166 | − | 0.0605363i | \(-0.980719\pi\) |
0.803552 | + | 0.595235i | \(0.202941\pi\) | |||||||
\(462\) | −9.73920 | − | 6.65646i | −0.453109 | − | 0.309687i | ||||
\(463\) | −5.36979 | − | 3.10025i | −0.249555 | − | 0.144081i | 0.370005 | − | 0.929030i | \(-0.379356\pi\) |
−0.619561 | + | 0.784949i | \(0.712689\pi\) | |||||||
\(464\) | 2.43005 | + | 4.20897i | 0.112812 | + | 0.195397i | ||||
\(465\) | 28.2940 | + | 24.6009i | 1.31210 | + | 1.14084i | ||||
\(466\) | 2.45733 | + | 0.433293i | 0.113834 | + | 0.0200719i | ||||
\(467\) | 15.7559 | + | 27.2901i | 0.729097 | + | 1.26283i | 0.957265 | + | 0.289212i | \(0.0933933\pi\) |
−0.228168 | + | 0.973622i | \(0.573273\pi\) | |||||||
\(468\) | −5.50836 | + | 16.2710i | −0.254624 | + | 0.752127i | ||||
\(469\) | −10.8939 | + | 12.9829i | −0.503036 | + | 0.599494i | ||||
\(470\) | −1.38179 | − | 2.09995i | −0.0637371 | − | 0.0968633i | ||||
\(471\) | −22.8324 | + | 10.9632i | −1.05206 | + | 0.505160i | ||||
\(472\) | 2.58149 | + | 3.07651i | 0.118823 | + | 0.141608i | ||||
\(473\) | −7.53727 | − | 42.7460i | −0.346564 | − | 1.96546i | ||||
\(474\) | 1.78856 | + | 18.0835i | 0.0821515 | + | 0.830601i | ||||
\(475\) | 16.4974 | − | 14.2421i | 0.756952 | − | 0.653471i | ||||
\(476\) | 7.09769i | 0.325322i | ||||||||
\(477\) | 0.491593 | − | 0.191635i | 0.0225085 | − | 0.00877436i | ||||
\(478\) | −11.0816 | + | 9.29859i | −0.506862 | + | 0.425308i | ||||
\(479\) | 1.99506 | + | 5.48139i | 0.0911568 | + | 0.250451i | 0.976890 | − | 0.213744i | \(-0.0685658\pi\) |
−0.885733 | + | 0.464195i | \(0.846344\pi\) | |||||||
\(480\) | 3.01013 | − | 2.43703i | 0.137393 | − | 0.111234i | ||||
\(481\) | 27.7367 | + | 23.2738i | 1.26468 | + | 1.06120i | ||||
\(482\) | −7.00029 | + | 12.1249i | −0.318855 | + | 0.552272i | ||||
\(483\) | −6.84235 | − | 9.54021i | −0.311338 | − | 0.434095i | ||||
\(484\) | 2.09463 | − | 11.8792i | 0.0952102 | − | 0.539964i | ||||
\(485\) | 30.0630 | + | 31.8515i | 1.36509 | + | 1.44630i | ||||
\(486\) | −13.2546 | − | 8.20457i | −0.601242 | − | 0.372167i | ||||
\(487\) | −2.75503 | + | 4.77186i | −0.124842 | + | 0.216234i | −0.921671 | − | 0.387972i | \(-0.873176\pi\) |
0.796829 | + | 0.604205i | \(0.206509\pi\) | |||||||
\(488\) | −0.457557 | + | 0.545295i | −0.0207126 | + | 0.0246844i | ||||
\(489\) | −2.25452 | − | 0.576829i | −0.101953 | − | 0.0260851i | ||||
\(490\) | 10.6870 | + | 3.19704i | 0.482789 | + | 0.144427i | ||||
\(491\) | −11.0236 | − | 13.1374i | −0.497489 | − | 0.592885i | 0.457617 | − | 0.889150i | \(-0.348703\pi\) |
−0.955106 | + | 0.296265i | \(0.904259\pi\) | |||||||
\(492\) | −7.87713 | + | 2.20653i | −0.355129 | + | 0.0994780i | ||||
\(493\) | 24.3231 | 1.09546 | ||||||||
\(494\) | −13.9978 | − | 20.6645i | −0.629792 | − | 0.929741i | ||||
\(495\) | 29.1112 | + | 13.7966i | 1.30845 | + | 0.620113i | ||||
\(496\) | −9.53370 | + | 1.68105i | −0.428076 | + | 0.0754813i | ||||
\(497\) | 10.8169 | + | 12.8911i | 0.485204 | + | 0.578244i | ||||
\(498\) | −3.32547 | + | 1.59676i | −0.149018 | + | 0.0715527i | ||||
\(499\) | −24.7622 | − | 9.01269i | −1.10851 | − | 0.403463i | −0.278061 | − | 0.960563i | \(-0.589692\pi\) |
−0.830445 | + | 0.557100i | \(0.811914\pi\) | |||||||
\(500\) | −5.59626 | − | 9.67894i | −0.250272 | − | 0.432855i | ||||
\(501\) | 1.34887 | − | 2.98027i | 0.0602630 | − | 0.133149i | ||||
\(502\) | −12.1055 | − | 20.9674i | −0.540295 | − | 0.935819i | ||||
\(503\) | −6.28854 | + | 35.6641i | −0.280392 | + | 1.59018i | 0.440903 | + | 0.897555i | \(0.354658\pi\) |
−0.721295 | + | 0.692628i | \(0.756453\pi\) | |||||||
\(504\) | 0.0963081 | + | 4.25358i | 0.00428991 | + | 0.189469i | ||||
\(505\) | −1.97908 | + | 16.9629i | −0.0880679 | + | 0.754841i | ||||
\(506\) | 11.4761 | − | 19.8772i | 0.510176 | − | 0.883651i | ||||
\(507\) | 19.3391 | − | 28.2954i | 0.858879 | − | 1.25664i | ||||
\(508\) | −4.17267 | − | 1.51873i | −0.185132 | − | 0.0673827i | ||||
\(509\) | −18.8278 | + | 6.85277i | −0.834529 | + | 0.303744i | −0.723716 | − | 0.690098i | \(-0.757568\pi\) |
−0.110813 | + | 0.993841i | \(0.535345\pi\) | |||||||
\(510\) | −3.03010 | − | 19.1446i | −0.134175 | − | 0.847736i | ||||
\(511\) | 0.190290 | + | 1.07919i | 0.00841792 | + | 0.0477404i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 21.1368 | − | 8.13851i | 0.933213 | − | 0.359324i | ||||
\(514\) | 23.1818 | 1.02251 | ||||||||
\(515\) | 28.2102 | + | 14.1603i | 1.24309 | + | 0.623978i | ||||
\(516\) | −10.9437 | + | 11.1943i | −0.481770 | + | 0.492802i | ||||
\(517\) | 1.84649 | + | 5.07319i | 0.0812086 | + | 0.223119i | ||||
\(518\) | 8.42707 | + | 3.06720i | 0.370264 | + | 0.134765i | ||||
\(519\) | −5.89386 | − | 4.02828i | −0.258712 | − | 0.176822i | ||||
\(520\) | −11.7556 | + | 5.07379i | −0.515517 | + | 0.222500i | ||||
\(521\) | 14.2673 | + | 24.7117i | 0.625061 | + | 1.08264i | 0.988529 | + | 0.151031i | \(0.0482592\pi\) |
−0.363468 | + | 0.931607i | \(0.618407\pi\) | |||||||
\(522\) | 14.5766 | − | 0.330038i | 0.637999 | − | 0.0144454i | ||||
\(523\) | −1.42189 | + | 8.06393i | −0.0621748 | + | 0.352611i | 0.937810 | + | 0.347148i | \(0.112850\pi\) |
−0.999985 | + | 0.00546262i | \(0.998261\pi\) | |||||||
\(524\) | 7.78581 | − | 4.49514i | 0.340125 | − | 0.196371i | ||||
\(525\) | 12.1725 | + | 1.63731i | 0.531253 | + | 0.0714581i | ||||
\(526\) | 2.89049 | − | 3.44475i | 0.126031 | − | 0.150198i | ||||
\(527\) | −16.5704 | + | 45.5269i | −0.721820 | + | 1.98318i | ||||
\(528\) | −7.49830 | + | 3.60040i | −0.326322 | + | 0.156687i | ||||
\(529\) | −0.120610 | + | 0.101204i | −0.00524392 | + | 0.00440017i | ||||
\(530\) | 0.351474 | + | 0.176425i | 0.0152671 | + | 0.00766340i | ||||
\(531\) | 11.8148 | − | 2.36021i | 0.512720 | − | 0.102424i | ||||
\(532\) | −5.00842 | − | 3.62374i | −0.217142 | − | 0.157109i | ||||
\(533\) | 27.0436 | 1.17139 | ||||||||
\(534\) | 0.258883 | + | 0.924191i | 0.0112030 | + | 0.0399937i | ||||
\(535\) | −7.27414 | + | 0.425200i | −0.314489 | + | 0.0183830i | ||||
\(536\) | 4.08719 | + | 11.2295i | 0.176540 | + | 0.485039i | ||||
\(537\) | 5.31193 | − | 20.7616i | 0.229227 | − | 0.895929i | ||||
\(538\) | −1.95718 | + | 2.33247i | −0.0843798 | + | 0.100560i | ||||
\(539\) | −20.7475 | − | 11.9786i | −0.893659 | − | 0.515954i | ||||
\(540\) | −2.07568 | − | 11.4320i | −0.0893231 | − | 0.491957i | ||||
\(541\) | 0.949568 | − | 5.38527i | 0.0408251 | − | 0.231531i | −0.957567 | − | 0.288210i | \(-0.906940\pi\) |
0.998392 | + | 0.0566788i | \(0.0180511\pi\) | |||||||
\(542\) | −9.99522 | − | 1.76243i | −0.429331 | − | 0.0757027i | ||||
\(543\) | −9.16971 | − | 12.7852i | −0.393510 | − | 0.548666i | ||||
\(544\) | 4.33414 | + | 2.50232i | 0.185825 | + | 0.107286i | ||||
\(545\) | 8.26607 | + | 34.8447i | 0.354080 | + | 1.49259i | ||||
\(546\) | 3.48644 | − | 13.6267i | 0.149206 | − | 0.583168i | ||||
\(547\) | 17.2181 | − | 6.26689i | 0.736194 | − | 0.267953i | 0.0534097 | − | 0.998573i | \(-0.482991\pi\) |
0.682784 | + | 0.730620i | \(0.260769\pi\) | |||||||
\(548\) | 3.55935 | − | 2.98665i | 0.152048 | − | 0.127583i | ||||
\(549\) | 0.775619 | + | 1.98966i | 0.0331026 | + | 0.0849168i | ||||
\(550\) | 6.89628 | + | 23.0001i | 0.294058 | + | 0.980726i | ||||
\(551\) | −12.4182 | + | 17.1633i | −0.529033 | + | 0.731182i | ||||
\(552\) | −8.23795 | + | 0.814783i | −0.350630 | + | 0.0346794i | ||||
\(553\) | −2.58375 | − | 14.6531i | −0.109872 | − | 0.623115i | ||||
\(554\) | 3.39096 | − | 2.84536i | 0.144068 | − | 0.120888i | ||||
\(555\) | −24.0397 | − | 4.67552i | −1.02043 | − | 0.198465i | ||||
\(556\) | 2.37262 | + | 0.863563i | 0.100622 | + | 0.0366232i | ||||
\(557\) | −10.2164 | − | 8.57260i | −0.432884 | − | 0.363233i | 0.400155 | − | 0.916448i | \(-0.368956\pi\) |
−0.833039 | + | 0.553215i | \(0.813401\pi\) | |||||||
\(558\) | −9.31276 | + | 27.5087i | −0.394240 | + | 1.16454i | ||||
\(559\) | 44.8204 | − | 25.8770i | 1.89570 | − | 1.09448i | ||||
\(560\) | −2.30622 | + | 2.17672i | −0.0974557 | + | 0.0919833i | ||||
\(561\) | −3.15851 | + | 41.5081i | −0.133352 | + | 1.75247i | ||||
\(562\) | −26.7183 | + | 15.4258i | −1.12704 | + | 0.650699i | ||||
\(563\) | −32.8298 | − | 18.9543i | −1.38361 | − | 0.798829i | −0.391027 | − | 0.920379i | \(-0.627880\pi\) |
−0.992585 | + | 0.121550i | \(0.961214\pi\) | |||||||
\(564\) | 1.09872 | − | 1.60757i | 0.0462647 | − | 0.0676907i | ||||
\(565\) | 7.62505 | + | 11.5880i | 0.320788 | + | 0.487512i | ||||
\(566\) | −11.2534 | + | 4.09589i | −0.473015 | + | 0.172163i | ||||
\(567\) | 11.3315 | + | 5.87516i | 0.475877 | + | 0.246733i | ||||
\(568\) | 11.6854 | − | 2.06044i | 0.490307 | − | 0.0864543i | ||||
\(569\) | −17.7730 | −0.745083 | −0.372542 | − | 0.928016i | \(-0.621514\pi\) | ||||
−0.372542 | + | 0.928016i | \(0.621514\pi\) | |||||||
\(570\) | 15.0562 | + | 7.63614i | 0.630635 | + | 0.319843i | ||||
\(571\) | −4.65101 | −0.194639 | −0.0973193 | − | 0.995253i | \(-0.531027\pi\) | ||||
−0.0973193 | + | 0.995253i | \(0.531027\pi\) | |||||||
\(572\) | 27.0806 | − | 4.77504i | 1.13230 | − | 0.199654i | ||||
\(573\) | 27.1721 | − | 27.7943i | 1.13513 | − | 1.16112i | ||||
\(574\) | 6.29421 | − | 2.29090i | 0.262715 | − | 0.0956205i | ||||
\(575\) | −1.37948 | + | 23.8571i | −0.0575284 | + | 0.994910i | ||||
\(576\) | 2.63136 | + | 1.44081i | 0.109640 | + | 0.0600336i | ||||
\(577\) | 3.11745 | + | 1.79986i | 0.129781 | + | 0.0749292i | 0.563485 | − | 0.826126i | \(-0.309460\pi\) |
−0.433704 | + | 0.901055i | \(0.642794\pi\) | |||||||
\(578\) | 6.96839 | − | 4.02320i | 0.289847 | − | 0.167343i | ||||
\(579\) | 17.4860 | + | 1.33058i | 0.726694 | + | 0.0552970i | ||||
\(580\) | 7.45940 | + | 7.90318i | 0.309735 | + | 0.328162i | ||||
\(581\) | 2.61588 | − | 1.51028i | 0.108525 | − | 0.0626570i | ||||
\(582\) | −13.9889 | + | 30.9078i | −0.579857 | + | 1.28117i | ||||
\(583\) | −0.647009 | − | 0.542905i | −0.0267964 | − | 0.0224848i | ||||
\(584\) | 0.726084 | + | 0.264273i | 0.0300456 | + | 0.0109357i | ||||
\(585\) | −3.58654 | + | 38.2436i | −0.148285 | + | 1.58118i | ||||
\(586\) | 0.890112 | − | 0.746892i | 0.0367702 | − | 0.0308538i | ||||
\(587\) | 6.87823 | + | 39.0084i | 0.283895 | + | 1.61005i | 0.709206 | + | 0.705001i | \(0.249054\pi\) |
−0.425311 | + | 0.905047i | \(0.639835\pi\) | |||||||
\(588\) | 0.850456 | + | 8.59863i | 0.0350722 | + | 0.354602i | ||||
\(589\) | −23.6656 | − | 34.9367i | −0.975122 | − | 1.43954i | ||||
\(590\) | 7.20440 | + | 5.36113i | 0.296600 | + | 0.220714i | ||||
\(591\) | 1.31796 | − | 0.369183i | 0.0542135 | − | 0.0151862i | ||||
\(592\) | 4.84396 | − | 4.06457i | 0.199086 | − | 0.167053i | ||||
\(593\) | 20.7672 | − | 7.55865i | 0.852807 | − | 0.310396i | 0.121623 | − | 0.992576i | \(-0.461190\pi\) |
0.731184 | + | 0.682180i | \(0.238968\pi\) | |||||||
\(594\) | −1.32964 | + | 24.9182i | −0.0545560 | + | 1.02241i | ||||
\(595\) | 3.66332 | + | 15.4423i | 0.150182 | + | 0.633075i | ||||
\(596\) | −9.75769 | − | 5.63360i | −0.399690 | − | 0.230761i | ||||
\(597\) | 20.3137 | − | 14.5692i | 0.831385 | − | 0.596279i | ||||
\(598\) | 26.9512 | + | 4.75222i | 1.10212 | + | 0.194333i | ||||
\(599\) | −4.39302 | + | 24.9141i | −0.179494 | + | 1.01796i | 0.753334 | + | 0.657638i | \(0.228444\pi\) |
−0.932828 | + | 0.360323i | \(0.882667\pi\) | |||||||
\(600\) | 5.29129 | − | 6.85582i | 0.216016 | − | 0.279888i | ||||
\(601\) | −39.5222 | − | 22.8182i | −1.61215 | − | 0.930773i | −0.988872 | − | 0.148769i | \(-0.952469\pi\) |
−0.623274 | − | 0.782003i | \(-0.714198\pi\) | |||||||
\(602\) | 8.23954 | − | 9.81950i | 0.335818 | − | 0.400213i | ||||
\(603\) | 35.4377 | + | 5.42459i | 1.44313 | + | 0.220906i | ||||
\(604\) | −6.70696 | − | 18.4272i | −0.272902 | − | 0.749793i | ||||
\(605\) | −1.57396 | − | 26.9265i | −0.0639904 | − | 1.09472i | ||||
\(606\) | −12.7382 | + | 3.56821i | −0.517456 | + | 0.144949i | ||||
\(607\) | 22.8014 | 0.925482 | 0.462741 | − | 0.886493i | \(-0.346866\pi\) | ||||
0.462741 | + | 0.886493i | \(0.346866\pi\) | |||||||
\(608\) | −3.97854 | + | 1.78078i | −0.161351 | + | 0.0722202i | ||||
\(609\) | −11.8805 | + | 1.17506i | −0.481424 | + | 0.0476157i | ||||
\(610\) | −0.714058 | + | 1.42255i | −0.0289114 | + | 0.0575973i | ||||
\(611\) | −4.93118 | + | 4.13775i | −0.199494 | + | 0.167395i | ||||
\(612\) | 12.8292 | − | 7.79936i | 0.518589 | − | 0.315270i | ||||
\(613\) | −2.80974 | + | 7.71971i | −0.113484 | + | 0.311796i | −0.983413 | − | 0.181382i | \(-0.941943\pi\) |
0.869928 | + | 0.493178i | \(0.164165\pi\) | |||||||
\(614\) | 5.61729 | − | 6.69443i | 0.226696 | − | 0.270165i | ||||
\(615\) | −15.9993 | + | 8.86633i | −0.645155 | + | 0.357525i | ||||
\(616\) | 5.89831 | − | 3.40539i | 0.237650 | − | 0.137207i | ||||
\(617\) | 6.51429 | − | 36.9444i | 0.262255 | − | 1.48732i | −0.514483 | − | 0.857501i | \(-0.672016\pi\) |
0.776738 | − | 0.629823i | \(-0.216873\pi\) | |||||||
\(618\) | −1.85513 | + | 24.3795i | −0.0746242 | + | 0.980685i | ||||
\(619\) | 9.45192 | + | 16.3712i | 0.379905 | + | 0.658014i | 0.991048 | − | 0.133506i | \(-0.0426235\pi\) |
−0.611143 | + | 0.791520i | \(0.709290\pi\) | |||||||
\(620\) | −19.8747 | + | 8.57805i | −0.798187 | + | 0.344503i | ||||
\(621\) | −9.72530 | + | 22.8510i | −0.390263 | + | 0.916979i | ||||
\(622\) | 16.4233 | + | 5.97759i | 0.658515 | + | 0.239680i | ||||
\(623\) | −0.268782 | − | 0.738473i | −0.0107685 | − | 0.0295863i | ||||
\(624\) | −7.09186 | − | 6.93310i | −0.283901 | − | 0.277546i | ||||
\(625\) | −17.1713 | − | 18.1699i | −0.686851 | − | 0.726798i | ||||
\(626\) | −11.0790 | −0.442806 | ||||||||
\(627\) | −27.6772 | − | 23.4208i | −1.10532 | − | 0.935337i | ||||
\(628\) | − | 14.6232i | − | 0.583528i | ||||||
\(629\) | −5.49528 | − | 31.1653i | −0.219111 | − | 1.24264i | ||||
\(630\) | 2.40493 | + | 9.20474i | 0.0958147 | + | 0.366726i | ||||
\(631\) | −1.50942 | + | 0.549385i | −0.0600891 | + | 0.0218707i | −0.371890 | − | 0.928277i | \(-0.621290\pi\) |
0.311801 | + | 0.950148i | \(0.399068\pi\) | |||||||
\(632\) | −9.85873 | − | 3.58828i | −0.392159 | − | 0.142734i | ||||
\(633\) | 17.7490 | + | 12.1310i | 0.705461 | + | 0.482162i | ||||
\(634\) | 4.95910 | − | 8.58942i | 0.196951 | − | 0.341129i | ||||
\(635\) | −9.86228 | − | 1.15064i | −0.391373 | − | 0.0456618i | ||||
\(636\) | −0.0231132 | + | 0.303746i | −0.000916499 | + | 0.0120443i | ||||
\(637\) | 4.96028 | − | 28.1312i | 0.196534 | − | 1.11460i | ||||
\(638\) | −11.6699 | − | 20.2129i | −0.462017 | − | 0.800237i | ||||
\(639\) | 11.4146 | − | 33.7171i | 0.451553 | − | 1.33383i | ||||
\(640\) | 0.516129 | + | 2.17569i | 0.0204018 | + | 0.0860016i | ||||
\(641\) | 13.3177 | + | 4.84724i | 0.526017 | + | 0.191455i | 0.591359 | − | 0.806408i | \(-0.298592\pi\) |
−0.0653420 | + | 0.997863i | \(0.520814\pi\) | |||||||
\(642\) | −2.44306 | − | 5.08801i | −0.0964201 | − | 0.200808i | ||||
\(643\) | 10.8475 | + | 12.9275i | 0.427782 | + | 0.509811i | 0.936281 | − | 0.351252i | \(-0.114244\pi\) |
−0.508499 | + | 0.861063i | \(0.669799\pi\) | |||||||
\(644\) | 6.67526 | − | 1.17703i | 0.263042 | − | 0.0463814i | ||||
\(645\) | −18.0324 | + | 30.0037i | −0.710024 | + | 1.18139i | ||||
\(646\) | −2.23742 | + | 21.6997i | −0.0880302 | + | 0.853762i | ||||
\(647\) | −5.35296 | −0.210447 | −0.105223 | − | 0.994449i | \(-0.533556\pi\) | ||||
−0.105223 | + | 0.994449i | \(0.533556\pi\) | |||||||
\(648\) | 7.58257 | − | 4.84816i | 0.297872 | − | 0.190454i | ||||
\(649\) | −12.3972 | − | 14.7744i | −0.486633 | − | 0.579947i | ||||
\(650\) | −22.9577 | + | 17.1064i | −0.900477 | + | 0.670967i | ||||
\(651\) | 5.89438 | − | 23.0381i | 0.231019 | − | 0.902933i | ||||
\(652\) | 0.863636 | − | 1.02924i | 0.0338226 | − | 0.0403082i | ||||
\(653\) | −17.4454 | + | 30.2163i | −0.682692 | + | 1.18246i | 0.291465 | + | 0.956582i | \(0.405857\pi\) |
−0.974156 | + | 0.225875i | \(0.927476\pi\) | |||||||
\(654\) | −22.5415 | + | 16.1670i | −0.881442 | + | 0.632180i | ||||
\(655\) | 14.6194 | − | 13.7985i | 0.571228 | − | 0.539152i | ||||
\(656\) | 0.820127 | − | 4.65117i | 0.0320206 | − | 0.181598i | ||||
\(657\) | 1.74154 | − | 1.52982i | 0.0679441 | − | 0.0596841i | ||||
\(658\) | −0.797182 | + | 1.38076i | −0.0310774 | + | 0.0538276i | ||||
\(659\) | 6.36176 | + | 5.33815i | 0.247819 | + | 0.207945i | 0.758232 | − | 0.651984i | \(-0.226063\pi\) |
−0.510414 | + | 0.859929i | \(0.670508\pi\) | |||||||
\(660\) | −14.4557 | + | 11.7034i | −0.562687 | + | 0.455555i | ||||
\(661\) | −7.72468 | − | 21.2234i | −0.300455 | − | 0.825493i | −0.994421 | − | 0.105485i | \(-0.966360\pi\) |
0.693966 | − | 0.720008i | \(-0.255862\pi\) | |||||||
\(662\) | 1.36710 | − | 1.14714i | 0.0531340 | − | 0.0445847i | ||||
\(663\) | −47.7952 | + | 13.3883i | −1.85621 | + | 0.519958i | ||||
\(664\) | − | 2.12982i | − | 0.0826531i | ||||||
\(665\) | −12.7671 | − | 5.29914i | −0.495085 | − | 0.205492i | ||||
\(666\) | −3.71615 | − | 18.6025i | −0.143998 | − | 0.720831i | ||||
\(667\) | −4.03355 | − | 22.8754i | −0.156180 | − | 0.885740i | ||||
\(668\) | 1.21403 | + | 1.44682i | 0.0469721 | + | 0.0559792i | ||||
\(669\) | 15.1588 | + | 31.5701i | 0.586072 | + | 1.22057i | ||||
\(670\) | 14.6883 | + | 22.3223i | 0.567458 | + | 0.862385i | ||||
\(671\) | 2.19734 | − | 2.61869i | 0.0848275 | − | 0.101094i | ||||
\(672\) | −2.23789 | − | 1.01287i | −0.0863286 | − | 0.0390723i | ||||
\(673\) | 7.25134 | + | 12.5597i | 0.279519 | + | 0.484141i | 0.971265 | − | 0.238000i | \(-0.0764918\pi\) |
−0.691747 | + | 0.722140i | \(0.743158\pi\) | |||||||
\(674\) | 14.4598 | + | 2.54965i | 0.556970 | + | 0.0982088i | ||||
\(675\) | −10.4164 | − | 23.8012i | −0.400929 | − | 0.916109i | ||||
\(676\) | 9.89372 | + | 17.1364i | 0.380528 | + | 0.659094i | ||||
\(677\) | −25.0311 | − | 14.4517i | −0.962025 | − | 0.555425i | −0.0652290 | − | 0.997870i | \(-0.520778\pi\) |
−0.896796 | + | 0.442445i | \(0.854111\pi\) | |||||||
\(678\) | −6.06304 | + | 8.87096i | −0.232850 | + | 0.340687i | ||||
\(679\) | 9.50100 | − | 26.1038i | 0.364615 | − | 1.00177i | ||||
\(680\) | 10.7213 | + | 3.20728i | 0.411141 | + | 0.122994i | ||||
\(681\) | 32.2333 | − | 32.9714i | 1.23518 | − | 1.26347i | ||||
\(682\) | 45.7840 | − | 8.07296i | 1.75316 | − | 0.309130i | ||||
\(683\) | 26.1222i | 0.999537i | 0.866159 | + | 0.499768i | \(0.166582\pi\) | ||||
−0.866159 | + | 0.499768i | \(0.833418\pi\) | |||||||
\(684\) | −1.04642 | + | 13.0348i | −0.0400110 | + | 0.498397i | ||||
\(685\) | 6.20253 | − | 8.33510i | 0.236987 | − | 0.318468i | ||||
\(686\) | −2.95246 | − | 16.7443i | −0.112726 | − | 0.639299i | ||||
\(687\) | −24.8239 | − | 24.2682i | −0.947091 | − | 0.925890i | ||||
\(688\) | −3.09131 | − | 8.49330i | −0.117855 | − | 0.323804i | ||||
\(689\) | 0.344437 | − | 0.946332i | 0.0131220 | − | 0.0360524i | ||||
\(690\) | −17.5027 | + | 6.02455i | −0.666315 | + | 0.229351i | ||||
\(691\) | −22.3974 | + | 38.7935i | −0.852038 | + | 1.47577i | 0.0273283 | + | 0.999627i | \(0.491300\pi\) |
−0.879366 | + | 0.476146i | \(0.842033\pi\) | |||||||
\(692\) | 3.56948 | − | 2.06084i | 0.135691 | − | 0.0783413i | ||||
\(693\) | −0.462504 | − | 20.4271i | −0.0175691 | − | 0.775962i | ||||
\(694\) | −12.9724 | − | 2.28738i | −0.492424 | − | 0.0868277i | ||||
\(695\) | 5.60779 | + | 0.654265i | 0.212716 | + | 0.0248177i | ||||
\(696\) | −3.47100 | + | 7.66903i | −0.131568 | + | 0.290694i | ||||
\(697\) | −18.1066 | − | 15.1933i | −0.685837 | − | 0.575486i | ||||
\(698\) | 0.0963803 | − | 0.264803i | 0.00364805 | − | 0.0100229i | ||||
\(699\) | 1.87072 | + | 3.89603i | 0.0707572 | + | 0.147361i | ||||
\(700\) | −3.89415 | + | 5.92617i | −0.147185 | + | 0.223988i | ||||
\(701\) | 46.1368 | − | 8.13516i | 1.74256 | − | 0.307261i | 0.790341 | − | 0.612667i | \(-0.209903\pi\) |
0.952222 | + | 0.305407i | \(0.0987924\pi\) | |||||||
\(702\) | −28.4615 | + | 8.67200i | −1.07421 | + | 0.327304i | ||||
\(703\) | 24.7971 | + | 12.0338i | 0.935240 | + | 0.453864i | ||||
\(704\) | − | 4.80234i | − | 0.180995i | ||||||
\(705\) | 1.56077 | − | 4.06464i | 0.0587820 | − | 0.153083i | ||||
\(706\) | −2.73163 | − | 3.25543i | −0.102806 | − | 0.122520i | ||||
\(707\) | 10.1785 | − | 3.70466i | 0.382801 | − | 0.139328i | ||||
\(708\) | −1.72420 | + | 6.73900i | −0.0647994 | + | 0.253267i | ||||
\(709\) | −18.7780 | − | 15.7566i | −0.705222 | − | 0.591752i | 0.218032 | − | 0.975942i | \(-0.430036\pi\) |
−0.923254 | + | 0.384190i | \(0.874481\pi\) | |||||||
\(710\) | 24.3602 | − | 10.5140i | 0.914223 | − | 0.394585i | ||||
\(711\) | −23.6466 | + | 20.7719i | −0.886817 | + | 0.779007i | ||||
\(712\) | −0.545703 | − | 0.0962221i | −0.0204511 | − | 0.00360608i | ||||
\(713\) | 45.5652 | + | 8.03438i | 1.70643 | + | 0.300890i | ||||
\(714\) | −9.98984 | + | 7.16483i | −0.373860 | + | 0.268137i | ||||
\(715\) | 56.4543 | − | 24.3661i | 2.11127 | − | 0.911239i | ||||
\(716\) | 9.47813 | + | 7.95310i | 0.354214 | + | 0.297221i | ||||
\(717\) | −24.2740 | − | 6.21060i | −0.906530 | − | 0.231939i | ||||
\(718\) | 4.19368 | − | 1.52637i | 0.156507 | − | 0.0569638i | ||||
\(719\) | 3.90235 | + | 4.65064i | 0.145533 | + | 0.173439i | 0.833887 | − | 0.551936i | \(-0.186111\pi\) |
−0.688354 | + | 0.725375i | \(0.741666\pi\) | |||||||
\(720\) | 6.46866 | + | 1.77662i | 0.241073 | + | 0.0662107i | ||||
\(721\) | − | 20.0199i | − | 0.745579i | ||||||
\(722\) | −14.1698 | − | 12.6576i | −0.527347 | − | 0.471068i | ||||
\(723\) | −24.1320 | + | 2.38680i | −0.897478 | + | 0.0887659i | ||||
\(724\) | 8.94578 | − | 1.57738i | 0.332467 | − | 0.0586230i | ||||
\(725\) | 20.3084 | + | 13.3448i | 0.754234 | + | 0.495615i | ||||
\(726\) | 18.8342 | − | 9.04344i | 0.699001 | − | 0.335633i | ||||
\(727\) | −8.98220 | + | 24.6784i | −0.333131 | + | 0.915270i | 0.654161 | + | 0.756355i | \(0.273022\pi\) |
−0.987292 | + | 0.158915i | \(0.949200\pi\) | |||||||
\(728\) | 6.22088 | + | 5.21994i | 0.230561 | + | 0.193464i | ||||
\(729\) | −1.83225 | − | 26.9378i | −0.0678612 | − | 0.997695i | ||||
\(730\) | 1.71613 | + | 0.200222i | 0.0635168 | + | 0.00741055i | ||||
\(731\) | −44.5466 | − | 7.85478i | −1.64762 | − | 0.290519i | ||||
\(732\) | −1.22938 | − | 0.0935480i | −0.0454390 | − | 0.00345763i | ||||
\(733\) | −9.94353 | + | 5.74090i | −0.367273 | + | 0.212045i | −0.672266 | − | 0.740309i | \(-0.734679\pi\) |
0.304994 | + | 0.952354i | \(0.401346\pi\) | |||||||
\(734\) | −2.39693 | + | 4.15160i | −0.0884723 | + | 0.153238i | ||||
\(735\) | 6.28833 | + | 18.2690i | 0.231948 | + | 0.673861i | ||||
\(736\) | 1.63465 | − | 4.49116i | 0.0602539 | − | 0.165546i | ||||
\(737\) | −19.6281 | − | 53.9277i | −0.723010 | − | 1.98645i | ||||
\(738\) | −11.0573 | − | 8.85949i | −0.407024 | − | 0.326122i | ||||
\(739\) | 1.78347 | + | 10.1146i | 0.0656061 | + | 0.372071i | 0.999880 | + | 0.0155136i | \(0.00493833\pi\) |
−0.934274 | + | 0.356557i | \(0.883951\pi\) | |||||||
\(740\) | 8.44110 | − | 11.3433i | 0.310301 | − | 0.416989i | ||||
\(741\) | 14.9546 | − | 40.5616i | 0.549371 | − | 1.49007i | ||||
\(742\) | − | 0.249430i | − | 0.00915685i | ||||||
\(743\) | −19.8443 | + | 3.49908i | −0.728016 | + | 0.128369i | −0.525359 | − | 0.850881i | \(-0.676069\pi\) |
−0.202657 | + | 0.979250i | \(0.564958\pi\) | |||||||
\(744\) | −11.9899 | − | 11.7215i | −0.439571 | − | 0.429731i | ||||
\(745\) | −24.1373 | − | 7.22073i | −0.884323 | − | 0.264547i | ||||
\(746\) | −5.12672 | + | 14.0855i | −0.187703 | + | 0.515708i | ||||
\(747\) | −5.60434 | − | 3.06866i | −0.205052 | − | 0.112276i | ||||
\(748\) | −20.8140 | − | 12.0170i | −0.761036 | − | 0.439385i | ||||
\(749\) | 2.31074 | + | 4.00233i | 0.0844328 | + | 0.146242i | ||||
\(750\) | 7.97370 | − | 17.6471i | 0.291158 | − | 0.644381i | ||||
\(751\) | 6.32900 | + | 1.11597i | 0.230949 | + | 0.0407225i | 0.287925 | − | 0.957653i | \(-0.407035\pi\) |
−0.0569760 | + | 0.998376i | \(0.518146\pi\) | |||||||
\(752\) | 0.562099 | + | 0.973584i | 0.0204976 | + | 0.0355030i | ||||
\(753\) | 17.2911 | − | 38.2039i | 0.630121 | − | 1.39223i | ||||
\(754\) | 17.8882 | − | 21.3183i | 0.651450 | − | 0.776368i | ||||
\(755\) | −24.1031 | − | 36.6302i | −0.877201 | − | 1.33311i | ||||
\(756\) | −5.88960 | + | 4.42936i | −0.214203 | + | 0.161094i | ||||
\(757\) | 26.0578 | + | 31.0544i | 0.947086 | + | 1.12869i | 0.991556 | + | 0.129682i | \(0.0413956\pi\) |
−0.0444701 | + | 0.999011i | \(0.514160\pi\) | |||||||
\(758\) | 2.86985 | + | 16.2757i | 0.104238 | + | 0.591161i | ||||
\(759\) | 39.5614 | − | 3.91286i | 1.43599 | − | 0.142028i | ||||
\(760\) | −7.73695 | + | 5.92786i | −0.280649 | + | 0.215026i | ||||
\(761\) | − | 35.7467i | − | 1.29582i | −0.761719 | − | 0.647908i | \(-0.775644\pi\) | ||
0.761719 | − | 0.647908i | \(-0.224356\pi\) | |||||||
\(762\) | −2.07457 | − | 7.40604i | −0.0751536 | − | 0.268292i | ||||
\(763\) | 17.3996 | − | 14.6000i | 0.629908 | − | 0.528556i | ||||
\(764\) | 7.67541 | + | 21.0880i | 0.277687 | + | 0.762938i | ||||
\(765\) | 23.8868 | − | 23.5905i | 0.863629 | − | 0.852915i | ||||
\(766\) | −5.50756 | − | 4.62139i | −0.198996 | − | 0.166978i | ||||
\(767\) | 11.4981 | − | 19.9154i | 0.415174 | − | 0.719102i | ||||
\(768\) | −1.40748 | + | 1.00946i | −0.0507880 | + | 0.0364257i | ||||
\(769\) | −2.02211 | + | 11.4680i | −0.0729191 | + | 0.413545i | 0.926396 | + | 0.376550i | \(0.122890\pi\) |
−0.999315 | + | 0.0369950i | \(0.988221\pi\) | |||||||
\(770\) | 11.0753 | − | 10.4534i | 0.399125 | − | 0.376713i | ||||
\(771\) | 23.4011 | + | 32.6278i | 0.842769 | + | 1.17506i | ||||
\(772\) | −5.06237 | + | 8.76828i | −0.182199 | + | 0.315577i | ||||
\(773\) | 20.3355 | − | 24.2349i | 0.731417 | − | 0.871669i | −0.264269 | − | 0.964449i | \(-0.585131\pi\) |
0.995687 | + | 0.0927798i | \(0.0295753\pi\) | |||||||
\(774\) | −26.8030 | − | 4.10284i | −0.963412 | − | 0.147474i | ||||
\(775\) | −38.8137 | + | 28.9210i | −1.39423 | + | 1.03887i | ||||
\(776\) | −12.5904 | − | 15.0047i | −0.451971 | − | 0.538637i | ||||
\(777\) | 4.18977 | + | 14.9571i | 0.150307 | + | 0.536584i | ||||
\(778\) | −25.7747 | −0.924067 | ||||||||
\(779\) | 19.9654 | − | 5.01981i | 0.715333 | − | 0.179853i | ||||
\(780\) | −19.0080 | − | 11.4239i | −0.680597 | − | 0.409043i | ||||
\(781\) | −56.1171 | + | 9.89495i | −2.00803 | + | 0.354069i | ||||
\(782\) | −15.3749 | − | 18.3231i | −0.549806 | − | 0.655233i | ||||
\(783\) | 15.1790 | + | 20.1830i | 0.542452 | + | 0.721283i | ||||
\(784\) | −4.68779 | − | 1.70622i | −0.167421 | − | 0.0609363i | ||||
\(785\) | −7.54744 | − | 31.8154i | −0.269380 | − | 1.13554i | ||||
\(786\) | 14.1863 | + | 6.42069i | 0.506007 | + | 0.229019i | ||||
\(787\) | 12.8766 | + | 22.3028i | 0.459000 | + | 0.795011i | 0.998908 | − | 0.0467129i | \(-0.0148746\pi\) |
−0.539909 | + | 0.841724i | \(0.681541\pi\) | |||||||
\(788\) | −0.137219 | + | 0.778207i | −0.00488822 | + | 0.0277225i | ||||
\(789\) | 7.76624 | + | 0.590963i | 0.276485 | + | 0.0210389i | ||||
\(790\) | −23.3015 | − | 2.71861i | −0.829031 | − | 0.0967236i | ||||
\(791\) | 4.39905 | − | 7.61938i | 0.156412 | − | 0.270914i | ||||
\(792\) | −12.6367 | − | 6.91924i | −0.449026 | − | 0.245864i | ||||
\(793\) | 3.83016 | + | 1.39407i | 0.136013 | + | 0.0495047i | ||||
\(794\) | 26.8026 | − | 9.75533i | 0.951187 | − | 0.346204i | ||||
\(795\) | 0.106485 | + | 0.672785i | 0.00377663 | + | 0.0238612i | ||||
\(796\) | 2.50621 | + | 14.2134i | 0.0888304 | + | 0.503782i | ||||
\(797\) | 24.6462i | 0.873012i | 0.899701 | + | 0.436506i | \(0.143784\pi\) | ||||
−0.899701 | + | 0.436506i | \(0.856216\pi\) | |||||||
\(798\) | 0.0445445 | − | 10.7073i | 0.00157686 | − | 0.379033i | ||||
\(799\) | 5.62620 | 0.199041 | ||||||||
\(800\) | 2.24587 | + | 4.46722i | 0.0794035 | + | 0.157940i | ||||
\(801\) | −1.03945 | + | 1.29731i | −0.0367271 | + | 0.0458380i | ||||
\(802\) | 1.15010 | + | 3.15986i | 0.0406113 | + | 0.111579i | ||||
\(803\) | −3.48690 | − | 1.26913i | −0.123050 | − | 0.0447866i | ||||
\(804\) | −11.6794 | + | 17.0883i | −0.411899 | + | 0.602658i | ||||
\(805\) | 13.9158 | − | 6.00614i | 0.490467 | − | 0.211689i | ||||
\(806\) | 27.7162 | + | 48.0059i | 0.976261 | + | 1.69093i | ||||
\(807\) | −5.25859 | − | 0.400147i | −0.185111 | − | 0.0140858i | ||||
\(808\) | 1.32624 | − | 7.52149i | 0.0466570 | − | 0.264605i | ||||
\(809\) | −25.2953 | + | 14.6042i | −0.889334 | + | 0.513458i | −0.873725 | − | 0.486421i | \(-0.838302\pi\) |
−0.0156097 | + | 0.999878i | \(0.504969\pi\) | |||||||
\(810\) | 13.9950 | − | 14.4617i | 0.491735 | − | 0.508131i | ||||
\(811\) | −0.663509 | + | 0.790739i | −0.0232990 | + | 0.0277666i | −0.777568 | − | 0.628799i | \(-0.783547\pi\) |
0.754269 | + | 0.656565i | \(0.227991\pi\) | |||||||
\(812\) | 2.35744 | − | 6.47702i | 0.0827301 | − | 0.227299i | ||||
\(813\) | −7.60919 | − | 15.8471i | −0.266866 | − | 0.555784i | ||||
\(814\) | −23.2623 | + | 19.5194i | −0.815345 | + | 0.684155i | ||||
\(815\) | 1.34778 | − | 2.68505i | 0.0472107 | − | 0.0940533i | ||||
\(816\) | 0.853183 | + | 8.62620i | 0.0298674 | + | 0.301977i | ||||
\(817\) | 28.2860 | − | 27.4236i | 0.989603 | − | 0.959432i | ||||
\(818\) | 35.7770 | 1.25091 | ||||||||
\(819\) | 22.6987 | − | 8.84849i | 0.793155 | − | 0.309191i | ||||
\(820\) | −0.616264 | − | 10.5428i | −0.0215209 | − | 0.368170i | ||||
\(821\) | −7.78634 | − | 21.3928i | −0.271745 | − | 0.746613i | −0.998232 | − | 0.0594334i | \(-0.981071\pi\) |
0.726487 | − | 0.687180i | \(-0.241152\pi\) | |||||||
\(822\) | 7.79666 | + | 1.99481i | 0.271940 | + | 0.0695768i | ||||
\(823\) | −10.9164 | + | 13.0096i | −0.380521 | + | 0.453487i | −0.921979 | − | 0.387241i | \(-0.873428\pi\) |
0.541458 | + | 0.840728i | \(0.317873\pi\) | |||||||
\(824\) | −12.2250 | − | 7.05809i | −0.425877 | − | 0.245880i | ||||
\(825\) | −25.4106 | + | 32.9240i | −0.884682 | + | 1.14627i | ||||
\(826\) | 0.989050 | − | 5.60918i | 0.0344135 | − | 0.195168i | ||||
\(827\) | −11.4929 | − | 2.02651i | −0.399647 | − | 0.0704686i | −0.0297877 | − | 0.999556i | \(-0.509483\pi\) |
−0.369860 | + | 0.929088i | \(0.620594\pi\) | |||||||
\(828\) | −9.46266 | − | 10.7722i | −0.328850 | − | 0.374361i | ||||
\(829\) | 25.7790 | + | 14.8835i | 0.895342 | + | 0.516926i | 0.875686 | − | 0.482881i | \(-0.160409\pi\) |
0.0196563 | + | 0.999807i | \(0.493743\pi\) | |||||||
\(830\) | −1.09926 | − | 4.63383i | −0.0381560 | − | 0.160842i | ||||
\(831\) | 7.42781 | + | 1.90043i | 0.257668 | + | 0.0659253i | ||||
\(832\) | 5.38071 | − | 1.95842i | 0.186543 | − | 0.0678959i | ||||
\(833\) | −19.1253 | + | 16.0481i | −0.662654 | + | 0.556033i | ||||
\(834\) | 1.17962 | + | 4.21114i | 0.0408468 | + | 0.145820i | ||||
\(835\) | 3.38809 | + | 2.52124i | 0.117250 | + | 0.0872510i | ||||
\(836\) | 19.1063 | − | 8.55192i | 0.660806 | − | 0.295774i | ||||
\(837\) | −48.1187 | + | 14.6614i | −1.66323 | + | 0.506772i | ||||
\(838\) | 0.137478 | + | 0.779677i | 0.00474910 | + | 0.0269335i | ||||
\(839\) | −27.1944 | + | 22.8188i | −0.938856 | + | 0.787793i | −0.977386 | − | 0.211464i | \(-0.932177\pi\) |
0.0385302 | + | 0.999257i | \(0.487732\pi\) | |||||||
\(840\) | −5.39172 | − | 1.04864i | −0.186032 | − | 0.0361816i | ||||
\(841\) | 5.05499 | + | 1.83987i | 0.174310 | + | 0.0634437i | ||||
\(842\) | −14.4380 | − | 12.1149i | −0.497567 | − | 0.417508i | ||||
\(843\) | −48.6825 | − | 22.0337i | −1.67671 | − | 0.758880i | ||||
\(844\) | −10.7493 | + | 6.20610i | −0.370006 | + | 0.213623i | ||||
\(845\) | 30.3702 | + | 32.1771i | 1.04477 | + | 1.10692i | ||||
\(846\) | 3.37173 | − | 0.0763416i | 0.115922 | − | 0.00262468i | ||||
\(847\) | −14.8153 | + | 8.55363i | −0.509061 | + | 0.293906i | ||||
\(848\) | −0.152312 | − | 0.0879374i | −0.00523042 | − | 0.00301978i | ||||
\(849\) | −17.1247 | − | 11.7042i | −0.587718 | − | 0.401688i | ||||
\(850\) | 24.9815 | + | 1.44450i | 0.856857 | + | 0.0495458i | ||||
\(851\) | −28.3991 | + | 10.3364i | −0.973509 | + | 0.354328i | ||||
\(852\) | 14.6959 | + | 14.3669i | 0.503474 | + | 0.492204i | ||||
\(853\) | 7.64787 | − | 1.34853i | 0.261858 | − | 0.0461727i | −0.0411776 | − | 0.999152i | \(-0.513111\pi\) |
0.303036 | + | 0.952979i | \(0.402000\pi\) | |||||||
\(854\) | 1.00954 | 0.0345456 | ||||||||
\(855\) | 4.45092 | + | 28.8996i | 0.152218 | + | 0.988347i | ||||
\(856\) | 3.25865 | 0.111378 | ||||||||
\(857\) | −4.41642 | + | 0.778735i | −0.150862 | + | 0.0266011i | −0.248569 | − | 0.968614i | \(-0.579960\pi\) |
0.0977070 | + | 0.995215i | \(0.468849\pi\) | |||||||
\(858\) | 34.0575 | + | 33.2951i | 1.16270 | + | 1.13668i | ||||
\(859\) | −30.1189 | + | 10.9624i | −1.02764 | + | 0.374032i | −0.800183 | − | 0.599755i | \(-0.795265\pi\) |
−0.227461 | + | 0.973787i | \(0.573042\pi\) | |||||||
\(860\) | −11.1094 | − | 16.8833i | −0.378826 | − | 0.575714i | ||||
\(861\) | 9.57814 | + | 6.54638i | 0.326422 | + | 0.223100i | ||||
\(862\) | 8.45264 | + | 4.88013i | 0.287898 | + | 0.166218i | ||||
\(863\) | 2.83124 | − | 1.63462i | 0.0963766 | − | 0.0556431i | −0.451037 | − | 0.892505i | \(-0.648946\pi\) |
0.547414 | + | 0.836862i | \(0.315612\pi\) | |||||||
\(864\) | 0.628353 | + | 5.15802i | 0.0213770 | + | 0.175479i | ||||
\(865\) | 6.70240 | − | 6.32605i | 0.227889 | − | 0.215092i | ||||
\(866\) | 16.0306 | − | 9.25527i | 0.544742 | − | 0.314507i | ||||
\(867\) | 12.6969 | + | 5.74659i | 0.431208 | + | 0.195165i | ||||
\(868\) | 10.5174 | + | 8.82514i | 0.356984 | + | 0.299545i | ||||
\(869\) | 47.3450 | + | 17.2322i | 1.60607 | + | 0.584561i | ||||
\(870\) | −3.59359 | + | 18.4769i | −0.121834 | + | 0.626425i | ||||
\(871\) | 52.4181 | − | 43.9840i | 1.77612 | − | 1.49034i | ||||
\(872\) | −2.78107 | − | 15.7722i | −0.0941788 | − | 0.534114i | ||||
\(873\) | −57.6232 | + | 11.5112i | −1.95025 | + | 0.389594i | ||||
\(874\) | 20.7792 | − | 1.49425i | 0.702867 | − | 0.0505439i | ||||
\(875\) | −5.41377 | + | 14.9034i | −0.183019 | + | 0.503826i | ||||
\(876\) | 0.360994 | + | 1.28872i | 0.0121968 | + | 0.0435418i | ||||
\(877\) | 28.2811 | − | 23.7307i | 0.954985 | − | 0.801328i | −0.0251450 | − | 0.999684i | \(-0.508005\pi\) |
0.980130 | + | 0.198356i | \(0.0635603\pi\) | |||||||
\(878\) | 16.2618 | − | 5.91880i | 0.548808 | − | 0.199750i | ||||
\(879\) | 1.94977 | + | 0.498855i | 0.0657639 | + | 0.0168260i | ||||
\(880\) | −2.47863 | − | 10.4484i | −0.0835545 | − | 0.352215i | ||||
\(881\) | 2.11328 | + | 1.22011i | 0.0711984 | + | 0.0411064i | 0.535177 | − | 0.844740i | \(-0.320245\pi\) |
−0.463978 | + | 0.885847i | \(0.653578\pi\) | |||||||
\(882\) | −11.2439 | + | 9.87696i | −0.378601 | + | 0.332575i | ||||
\(883\) | −15.4179 | − | 2.71859i | −0.518852 | − | 0.0914877i | −0.0919115 | − | 0.995767i | \(-0.529298\pi\) |
−0.426941 | + | 0.904280i | \(0.640409\pi\) | |||||||
\(884\) | 4.97619 | − | 28.2214i | 0.167367 | − | 0.949187i | ||||
\(885\) | −0.273123 | + | 15.5519i | −0.00918094 | + | 0.522770i | ||||
\(886\) | −6.42709 | − | 3.71068i | −0.215922 | − | 0.124663i | ||||
\(887\) | −10.1730 | + | 12.1237i | −0.341576 | + | 0.407074i | −0.909298 | − | 0.416146i | \(-0.863380\pi\) |
0.567722 | + | 0.823220i | \(0.307825\pi\) | |||||||
\(888\) | 10.6106 | + | 2.71475i | 0.356067 | + | 0.0911011i | ||||
\(889\) | 2.15389 | + | 5.91778i | 0.0722393 | + | 0.198476i | ||||
\(890\) | −1.23694 | + | 0.0723038i | −0.0414623 | + | 0.00242363i | ||||
\(891\) | −36.4141 | + | 23.2825i | −1.21992 | + | 0.779993i | ||||
\(892\) | −20.2193 | −0.676993 | ||||||||
\(893\) | −2.87247 | + | 3.97008i | −0.0961236 | + | 0.132854i | ||||
\(894\) | −1.92082 | − | 19.4206i | −0.0642417 | − | 0.649523i | ||||
\(895\) | 24.7263 | + | 12.4115i | 0.826508 | + | 0.414871i | ||||
\(896\) | 1.08642 | − | 0.911616i | 0.0362948 | − | 0.0304549i | ||||
\(897\) | 20.5175 | + | 42.7303i | 0.685058 | + | 1.42672i | ||||
\(898\) | −2.33957 | + | 6.42791i | −0.0780724 | + | 0.214502i | ||||
\(899\) | 30.2428 | − | 36.0420i | 1.00866 | − | 1.20207i | ||||
\(900\) | 14.9908 | + | 0.526701i | 0.499692 | + | 0.0175567i | ||||
\(901\) | −0.762267 | + | 0.440095i | −0.0253948 | + | 0.0146617i | ||||
\(902\) | −3.93853 | + | 22.3365i | −0.131139 | + | 0.743724i | ||||
\(903\) | 22.1382 | + | 1.68458i | 0.736713 | + | 0.0560594i | ||||
\(904\) | −3.10181 | − | 5.37248i | −0.103165 | − | 0.178686i | ||||
\(905\) | 18.6491 | − | 8.04907i | 0.619917 | − | 0.267560i | ||||
\(906\) | 19.1655 | − | 28.0414i | 0.636731 | − | 0.931614i | ||||
\(907\) | −23.5544 | − | 8.57310i | −0.782111 | − | 0.284665i | −0.0800584 | − | 0.996790i | \(-0.525511\pi\) |
−0.702053 | + | 0.712125i | \(0.747733\pi\) | |||||||
\(908\) | 9.10506 | + | 25.0159i | 0.302162 | + | 0.830183i | ||||
\(909\) | −17.8809 | − | 14.3268i | −0.593073 | − | 0.475191i | ||||
\(910\) | 16.2289 | + | 8.14618i | 0.537981 | + | 0.270043i | ||||
\(911\) | 45.9454 | 1.52224 | 0.761120 | − | 0.648612i | \(-0.224650\pi\) | ||||
0.761120 | + | 0.648612i | \(0.224650\pi\) | |||||||
\(912\) | −6.52259 | − | 3.80209i | −0.215984 | − | 0.125900i | ||||
\(913\) | 10.2281i | 0.338502i | ||||||||
\(914\) | 0.216321 | + | 1.22682i | 0.00715526 | + | 0.0405795i | ||||
\(915\) | −2.72302 | + | 0.430985i | −0.0900202 | + | 0.0142479i | ||||
\(916\) | 18.8343 | − | 6.85513i | 0.622303 | − | 0.226500i | ||||
\(917\) | −11.9813 | − | 4.36083i | −0.395657 | − | 0.144007i | ||||
\(918\) | 23.9279 | + | 10.1836i | 0.789740 | + | 0.336110i | ||||
\(919\) | 14.6787 | − | 25.4243i | 0.484206 | − | 0.838669i | −0.515630 | − | 0.856812i | \(-0.672442\pi\) |
0.999835 | + | 0.0181424i | \(0.00577523\pi\) | |||||||
\(920\) | 1.23846 | − | 10.6150i | 0.0408310 | − | 0.349967i | ||||
\(921\) | 15.0927 | + | 1.14846i | 0.497321 | + | 0.0378431i | ||||
\(922\) | 2.12151 | − | 12.0317i | 0.0698681 | − | 0.396241i | ||||
\(923\) | −33.9715 | − | 58.8403i | −1.11818 | − | 1.93675i | ||||
\(924\) | 10.7471 | + | 4.86414i | 0.353554 | + | 0.160018i | ||||
\(925\) | 12.5106 | − | 29.0362i | 0.411345 | − | 0.954705i | ||||
\(926\) | 5.82657 | + | 2.12070i | 0.191473 | + | 0.0696904i | ||||
\(927\) | −36.1862 | + | 21.9990i | −1.18851 | + | 0.722542i | ||||
\(928\) | −3.12401 | − | 3.72305i | −0.102551 | − | 0.122215i | ||||
\(929\) | 6.95259 | − | 1.22593i | 0.228107 | − | 0.0402214i | −0.0584262 | − | 0.998292i | \(-0.518608\pi\) |
0.286533 | + | 0.958070i | \(0.407497\pi\) | |||||||
\(930\) | −32.1361 | − | 19.3140i | −1.05378 | − | 0.633331i | ||||
\(931\) | −1.55968 | − | 21.6890i | −0.0511163 | − | 0.710828i | ||||
\(932\) | −2.49524 | −0.0817342 | ||||||||
\(933\) | 8.16532 | + | 29.1496i | 0.267321 | + | 0.954314i | ||||
\(934\) | −20.2554 | − | 24.1395i | −0.662778 | − | 0.789868i | ||||
\(935\) | −51.4871 | − | 15.4025i | −1.68381 | − | 0.503715i | ||||
\(936\) | 2.59925 | − | 16.9803i | 0.0849590 | − | 0.555019i | ||||
\(937\) | 15.3123 | − | 18.2485i | 0.500231 | − | 0.596152i | −0.455558 | − | 0.890206i | \(-0.650560\pi\) |
0.955789 | + | 0.294054i | \(0.0950047\pi\) | |||||||
\(938\) | 8.47398 | − | 14.6774i | 0.276685 | − | 0.479233i | ||||
\(939\) | −11.1838 | − | 15.5935i | −0.364970 | − | 0.508873i | ||||
\(940\) | 1.72545 | + | 1.82810i | 0.0562778 | + | 0.0596260i | ||||
\(941\) | −6.77146 | + | 38.4029i | −0.220743 | + | 1.25190i | 0.649914 | + | 0.760008i | \(0.274805\pi\) |
−0.870657 | + | 0.491890i | \(0.836306\pi\) | |||||||
\(942\) | 20.5818 | − | 14.7615i | 0.670591 | − | 0.480956i | ||||
\(943\) | −11.2863 | + | 19.5485i | −0.367534 | + | 0.636587i | ||||
\(944\) | −3.07651 | − | 2.58149i | −0.100132 | − | 0.0840205i | ||||
\(945\) | −10.5278 | + | 12.6767i | −0.342469 | + | 0.412373i | ||||
\(946\) | 14.8455 | + | 40.7877i | 0.482670 | + | 1.32612i | ||||
\(947\) | 19.4835 | − | 16.3486i | 0.633128 | − | 0.531258i | −0.268771 | − | 0.963204i | \(-0.586617\pi\) |
0.901899 | + | 0.431946i | \(0.142173\pi\) | |||||||
\(948\) | −4.90155 | − | 17.4982i | −0.159195 | − | 0.568314i | ||||
\(949\) | − | 4.42440i | − | 0.143622i | ||||||
\(950\) | −13.7736 | + | 16.8904i | −0.446876 | + | 0.547998i | ||||
\(951\) | 17.0954 | − | 1.69084i | 0.554357 | − | 0.0548292i | ||||
\(952\) | −1.23250 | − | 6.98986i | −0.0399456 | − | 0.226543i | ||||
\(953\) | −19.1150 | − | 22.7804i | −0.619197 | − | 0.737930i | 0.361735 | − | 0.932281i | \(-0.382184\pi\) |
−0.980932 | + | 0.194351i | \(0.937740\pi\) | |||||||
\(954\) | −0.450848 | + | 0.274088i | −0.0145967 | + | 0.00887392i | ||||
\(955\) | 27.5834 | + | 41.9194i | 0.892578 | + | 1.35648i | ||||
\(956\) | 9.29859 | − | 11.0816i | 0.300738 | − | 0.358406i | ||||
\(957\) | 16.6689 | − | 36.8293i | 0.538829 | − | 1.19052i | ||||
\(958\) | −2.91659 | − | 5.05168i | −0.0942307 | − | 0.163212i | ||||
\(959\) | −6.48952 | − | 1.14428i | −0.209558 | − | 0.0369507i | ||||
\(960\) | −2.54122 | + | 2.92271i | −0.0820175 | + | 0.0943299i | ||||
\(961\) | 31.3586 | + | 54.3147i | 1.01157 | + | 1.75209i | ||||
\(962\) | −31.3568 | − | 18.1038i | −1.01098 | − | 0.583691i | ||||
\(963\) | 4.69508 | − | 8.57469i | 0.151297 | − | 0.276316i | ||||
\(964\) | 4.78848 | − | 13.1562i | 0.154227 | − | 0.423734i | ||||
\(965\) | −6.48856 | + | 21.6899i | −0.208874 | + | 0.698221i | ||||
\(966\) | 8.39504 | + | 8.20712i | 0.270106 | + | 0.264060i | ||||
\(967\) | 41.5722 | − | 7.33030i | 1.33687 | − | 0.235727i | 0.540914 | − | 0.841078i | \(-0.318079\pi\) |
0.795958 | + | 0.605352i | \(0.206967\pi\) | |||||||
\(968\) | 12.0625i | 0.387702i | ||||||||
\(969\) | −32.8004 | + | 18.7558i | −1.05370 | + | 0.602523i | ||||
\(970\) | −35.1372 | − | 26.1472i | −1.12819 | − | 0.839537i | ||||
\(971\) | −6.03347 | − | 34.2175i | −0.193623 | − | 1.09809i | −0.914366 | − | 0.404889i | \(-0.867310\pi\) |
0.720742 | − | 0.693203i | \(-0.243801\pi\) | |||||||
\(972\) | 14.4780 | + | 5.77828i | 0.464381 | + | 0.185338i | ||||
\(973\) | −1.22472 | − | 3.36490i | −0.0392629 | − | 0.107874i | ||||
\(974\) | 1.88455 | − | 5.17777i | 0.0603850 | − | 0.165906i | ||||
\(975\) | −47.2517 | − | 15.0443i | −1.51327 | − | 0.481804i | ||||
\(976\) | 0.355916 | − | 0.616465i | 0.0113926 | − | 0.0197326i | ||||
\(977\) | 28.2801 | − | 16.3275i | 0.904761 | − | 0.522364i | 0.0260191 | − | 0.999661i | \(-0.491717\pi\) |
0.878742 | + | 0.477298i | \(0.158384\pi\) | |||||||
\(978\) | 2.32044 | + | 0.176571i | 0.0741994 | + | 0.00564613i | ||||
\(979\) | 2.62065 | + | 0.462091i | 0.0837563 | + | 0.0147685i | ||||
\(980\) | −11.0798 | − | 1.29269i | −0.353931 | − | 0.0412934i | ||||
\(981\) | −45.5094 | − | 15.4067i | −1.45300 | − | 0.491898i | ||||
\(982\) | 13.1374 | + | 11.0236i | 0.419233 | + | 0.351778i | ||||
\(983\) | 6.55421 | − | 18.0075i | 0.209047 | − | 0.574352i | −0.790212 | − | 0.612833i | \(-0.790030\pi\) |
0.999259 | + | 0.0384815i | \(0.0122521\pi\) | |||||||
\(984\) | 7.37430 | − | 3.54086i | 0.235084 | − | 0.112878i | ||||
\(985\) | 0.103110 | + | 1.76396i | 0.00328535 | + | 0.0562043i | ||||
\(986\) | −23.9535 | + | 4.22365i | −0.762836 | + | 0.134509i | ||||
\(987\) | −2.74811 | + | 0.271804i | −0.0874733 | + | 0.00865163i | ||||
\(988\) | 17.3735 | + | 17.9199i | 0.552726 | + | 0.570107i | ||||
\(989\) | 43.1980i | 1.37362i | ||||||||
\(990\) | −31.0647 | − | 8.53193i | −0.987302 | − | 0.271162i | ||||
\(991\) | 9.41330 | + | 11.2183i | 0.299023 | + | 0.356362i | 0.894546 | − | 0.446977i | \(-0.147499\pi\) |
−0.595522 | + | 0.803339i | \(0.703055\pi\) | |||||||
\(992\) | 9.09695 | − | 3.31102i | 0.288828 | − | 0.105125i | ||||
\(993\) | 2.99460 | + | 0.766181i | 0.0950309 | + | 0.0243140i | ||||
\(994\) | −12.8911 | − | 10.8169i | −0.408880 | − | 0.343091i | ||||
\(995\) | 12.7887 | + | 29.6305i | 0.405429 | + | 0.939349i | ||||
\(996\) | 2.99768 | − | 2.14997i | 0.0949850 | − | 0.0681244i | ||||
\(997\) | −43.8794 | − | 7.73712i | −1.38967 | − | 0.245037i | −0.571780 | − | 0.820407i | \(-0.693747\pi\) |
−0.817893 | + | 0.575370i | \(0.804858\pi\) | |||||||
\(998\) | 25.9510 | + | 4.57586i | 0.821465 | + | 0.144846i | ||||
\(999\) | 22.4313 | − | 24.0088i | 0.709694 | − | 0.759606i |
(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 | 570.2.bf.a.29.5 | ✓ | 240 | |
3.2 | odd | 2 | inner | 570.2.bf.a.29.33 | yes | 240 | |
5.4 | even | 2 | inner | 570.2.bf.a.29.36 | yes | 240 | |
15.14 | odd | 2 | inner | 570.2.bf.a.29.8 | yes | 240 | |
19.2 | odd | 18 | inner | 570.2.bf.a.59.8 | yes | 240 | |
57.2 | even | 18 | inner | 570.2.bf.a.59.36 | yes | 240 | |
95.59 | odd | 18 | inner | 570.2.bf.a.59.33 | yes | 240 | |
285.59 | even | 18 | inner | 570.2.bf.a.59.5 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bf.a.29.5 | ✓ | 240 | 1.1 | even | 1 | trivial | |
570.2.bf.a.29.8 | yes | 240 | 15.14 | odd | 2 | inner | |
570.2.bf.a.29.33 | yes | 240 | 3.2 | odd | 2 | inner | |
570.2.bf.a.29.36 | yes | 240 | 5.4 | even | 2 | inner | |
570.2.bf.a.59.5 | yes | 240 | 285.59 | even | 18 | inner | |
570.2.bf.a.59.8 | yes | 240 | 19.2 | odd | 18 | inner | |
570.2.bf.a.59.33 | yes | 240 | 95.59 | odd | 18 | inner | |
570.2.bf.a.59.36 | yes | 240 | 57.2 | even | 18 | inner |