Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [567,2,Mod(143,567)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(567, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([7, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("567.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 567 = 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 567.ba (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.52751779461\) |
Analytic rank: | \(0\) |
Dimension: | \(132\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 189) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 143.13 | ||
Character | \(\chi\) | \(=\) | 567.143 |
Dual form | 567.2.ba.a.341.13 |
$q$-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 \(\left(\mathbb{Z}/567\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.159953 | − | 0.190625i | 0.113104 | − | 0.134792i | −0.706522 | − | 0.707691i | \(-0.749737\pi\) |
0.819626 | + | 0.572899i | \(0.194181\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.336544 | + | 1.90863i | 0.168272 | + | 0.954317i | ||||
\(5\) | −1.62936 | + | 1.36719i | −0.728670 | + | 0.611427i | −0.929769 | − | 0.368144i | \(-0.879993\pi\) |
0.201099 | + | 0.979571i | \(0.435549\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.64099 | − | 0.158668i | 0.998200 | − | 0.0599708i | ||||
\(8\) | 0.848674 | + | 0.489982i | 0.300052 | + | 0.173235i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.529283i | 0.167374i | ||||||||
\(11\) | 0.919336 | − | 1.09562i | 0.277190 | − | 0.330342i | −0.609431 | − | 0.792839i | \(-0.708602\pi\) |
0.886621 | + | 0.462497i | \(0.153046\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.30709 | + | 3.59121i | −0.362522 | + | 0.996021i | 0.615613 | + | 0.788049i | \(0.288909\pi\) |
−0.978135 | + | 0.207972i | \(0.933314\pi\) | |||||||
\(14\) | 0.392189 | − | 0.528818i | 0.104817 | − | 0.141333i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.41324 | + | 1.24232i | −0.853310 | + | 0.310580i | ||||
\(17\) | −0.218194 | −0.0529198 | −0.0264599 | − | 0.999650i | \(-0.508423\pi\) | ||||
−0.0264599 | + | 0.999650i | \(0.508423\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | − | 2.96748i | − | 0.680788i | −0.940283 | − | 0.340394i | \(-0.889440\pi\) | ||
0.940283 | − | 0.340394i | \(-0.110560\pi\) | |||||||
\(20\) | −3.15782 | − | 2.64972i | −0.706109 | − | 0.592496i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.0618021 | − | 0.350497i | −0.0131762 | − | 0.0747262i | ||||
\(23\) | −2.64486 | + | 7.26669i | −0.551491 | + | 1.51521i | 0.280184 | + | 0.959946i | \(0.409604\pi\) |
−0.831675 | + | 0.555262i | \(0.812618\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.0826545 | + | 0.468757i | −0.0165309 | + | 0.0937514i | ||||
\(26\) | 0.475500 | + | 0.823590i | 0.0932532 | + | 0.161519i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.19165 | + | 4.98728i | 0.225200 | + | 0.942508i | ||||
\(29\) | 1.78349 | + | 4.90009i | 0.331185 | + | 0.909924i | 0.987804 | + | 0.155702i | \(0.0497638\pi\) |
−0.656619 | + | 0.754223i | \(0.728014\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.81477 | − | 0.672647i | 0.685153 | − | 0.120811i | 0.179774 | − | 0.983708i | \(-0.442463\pi\) |
0.505380 | + | 0.862897i | \(0.331352\pi\) | |||||||
\(32\) | −0.979478 | + | 2.69109i | −0.173149 | + | 0.475723i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.0349009 | + | 0.0415932i | −0.00598545 | + | 0.00713318i | ||||
\(35\) | −4.08618 | + | 3.86926i | −0.690691 | + | 0.654025i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.00625 | + | 5.20699i | −0.494225 | + | 0.856023i | −0.999978 | − | 0.00665534i | \(-0.997882\pi\) |
0.505753 | + | 0.862679i | \(0.331215\pi\) | |||||||
\(38\) | −0.565677 | − | 0.474659i | −0.0917649 | − | 0.0769999i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.05269 | + | 0.361945i | −0.324559 | + | 0.0572285i | ||||
\(41\) | −10.0627 | − | 3.66253i | −1.57153 | − | 0.571990i | −0.598190 | − | 0.801354i | \(-0.704113\pi\) |
−0.973341 | + | 0.229364i | \(0.926335\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.29579 | − | 7.34878i | 0.197606 | − | 1.12068i | −0.711053 | − | 0.703139i | \(-0.751781\pi\) |
0.908659 | − | 0.417540i | \(-0.137108\pi\) | |||||||
\(44\) | 2.40054 | + | 1.38595i | 0.361894 | + | 0.208940i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.962159 | + | 1.66651i | 0.141863 | + | 0.245713i | ||||
\(47\) | 1.01967 | − | 5.78285i | 0.148735 | − | 0.843515i | −0.815558 | − | 0.578675i | \(-0.803570\pi\) |
0.964292 | − | 0.264840i | \(-0.0853191\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.94965 | − | 0.838080i | 0.992807 | − | 0.119726i | ||||
\(50\) | 0.0761360 | + | 0.0907353i | 0.0107673 | + | 0.0128319i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.29419 | − | 1.28616i | −1.01152 | − | 0.178359i | ||||
\(53\) | 12.1036 | + | 6.98800i | 1.66255 | + | 0.959875i | 0.971490 | + | 0.237080i | \(0.0761904\pi\) |
0.691063 | + | 0.722795i | \(0.257143\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.04206i | 0.410192i | ||||||||
\(56\) | 2.31908 | + | 1.15938i | 0.309901 | + | 0.154929i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.21936 | + | 0.443809i | 0.160109 | + | 0.0582750i | ||||
\(59\) | 1.48515 | + | 0.540550i | 0.193350 | + | 0.0703736i | 0.436880 | − | 0.899520i | \(-0.356083\pi\) |
−0.243530 | + | 0.969893i | \(0.578306\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.18950 | + | 0.738722i | 0.536410 | + | 0.0945836i | 0.435290 | − | 0.900291i | \(-0.356646\pi\) |
0.101121 | + | 0.994874i | \(0.467757\pi\) | |||||||
\(62\) | 0.481963 | − | 0.834784i | 0.0612093 | − | 0.106018i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.27598 | − | 5.67416i | −0.409497 | − | 0.709270i | ||||
\(65\) | −2.78015 | − | 7.63839i | −0.344835 | − | 0.947426i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 11.4276 | − | 9.58891i | 1.39611 | − | 1.17147i | 0.433308 | − | 0.901246i | \(-0.357346\pi\) |
0.962797 | − | 0.270226i | \(-0.0870983\pi\) | |||||||
\(68\) | −0.0734317 | − | 0.416452i | −0.00890490 | − | 0.0505022i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.0839802 | + | 1.39783i | 0.0100376 | + | 0.167073i | ||||
\(71\) | 4.29452 | − | 2.47944i | 0.509666 | − | 0.294256i | −0.223031 | − | 0.974811i | \(-0.571595\pi\) |
0.732696 | + | 0.680556i | \(0.238262\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.13740 | + | 1.23403i | −0.250164 | + | 0.144432i | −0.619839 | − | 0.784729i | \(-0.712802\pi\) |
0.369676 | + | 0.929161i | \(0.379469\pi\) | |||||||
\(74\) | 0.511721 | + | 1.40594i | 0.0594864 | + | 0.163438i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 5.66384 | − | 0.998688i | 0.649687 | − | 0.114557i | ||||
\(77\) | 2.25412 | − | 3.03939i | 0.256880 | − | 0.346371i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.98202 | − | 2.50221i | −0.335503 | − | 0.281521i | 0.459435 | − | 0.888212i | \(-0.348052\pi\) |
−0.794938 | + | 0.606691i | \(0.792497\pi\) | |||||||
\(80\) | 3.86290 | − | 6.69073i | 0.431885 | − | 0.748047i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.30773 | + | 1.33237i | −0.254847 | + | 0.147136i | ||||
\(83\) | −0.141502 | + | 0.0515026i | −0.0155319 | + | 0.00565315i | −0.349774 | − | 0.936834i | \(-0.613742\pi\) |
0.334243 | + | 0.942487i | \(0.391520\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.355515 | − | 0.298313i | 0.0385610 | − | 0.0323566i | ||||
\(86\) | −1.19360 | − | 1.42247i | −0.128709 | − | 0.153389i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 1.31705 | − | 0.479367i | 0.140398 | − | 0.0511007i | ||||
\(89\) | −6.80542 | −0.721373 | −0.360686 | − | 0.932687i | \(-0.617458\pi\) | ||||
−0.360686 | + | 0.932687i | \(0.617458\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.88221 | + | 9.69173i | −0.302137 | + | 1.01597i | ||||
\(92\) | −14.7595 | − | 2.60251i | −1.53879 | − | 0.271330i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.939256 | − | 1.11936i | −0.0968769 | − | 0.115453i | ||||
\(95\) | 4.05712 | + | 4.83509i | 0.416252 | + | 0.496069i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −12.2644 | − | 2.16255i | −1.24526 | − | 0.219573i | −0.488092 | − | 0.872792i | \(-0.662307\pi\) |
−0.757169 | + | 0.653219i | \(0.773418\pi\) | |||||||
\(98\) | 0.951861 | − | 1.45883i | 0.0961525 | − | 0.147364i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.922502 | −0.0922502 | ||||||||
\(101\) | 7.87176 | − | 2.86509i | 0.783269 | − | 0.285087i | 0.0807341 | − | 0.996736i | \(-0.474274\pi\) |
0.702535 | + | 0.711649i | \(0.252051\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.137771 | + | 0.164189i | 0.0135750 | + | 0.0161781i | 0.772789 | − | 0.634663i | \(-0.218861\pi\) |
−0.759214 | + | 0.650841i | \(0.774417\pi\) | |||||||
\(104\) | −2.86892 | + | 2.40731i | −0.281321 | + | 0.236056i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.26809 | − | 1.18949i | 0.317425 | − | 0.115533i | ||||
\(107\) | 15.3166 | − | 8.84302i | 1.48071 | − | 0.854887i | 0.480946 | − | 0.876750i | \(-0.340293\pi\) |
0.999761 | + | 0.0218632i | \(0.00695982\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.476343 | + | 0.825050i | −0.0456254 | + | 0.0790255i | −0.887936 | − | 0.459967i | \(-0.847861\pi\) |
0.842311 | + | 0.538992i | \(0.181195\pi\) | |||||||
\(110\) | 0.579894 | + | 0.486589i | 0.0552907 | + | 0.0463944i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −8.81722 | + | 3.82252i | −0.833149 | + | 0.361194i | ||||
\(113\) | 13.8921 | − | 2.44955i | 1.30686 | − | 0.230434i | 0.523510 | − | 0.852020i | \(-0.324622\pi\) |
0.783346 | + | 0.621586i | \(0.213511\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.62554 | − | 15.4560i | −0.524584 | − | 1.44128i | ||||
\(116\) | −8.75226 | + | 5.05312i | −0.812627 | + | 0.469170i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0.340597 | − | 0.196644i | 0.0313545 | − | 0.0181025i | ||||
\(119\) | −0.576248 | + | 0.0346203i | −0.0528245 | + | 0.00317364i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.55492 | + | 8.81840i | 0.141356 | + | 0.801673i | ||||
\(122\) | 0.810944 | − | 0.680463i | 0.0734194 | − | 0.0616062i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.56767 | + | 7.05463i | 0.230584 | + | 0.633524i | ||||
\(125\) | −5.82364 | − | 10.0868i | −0.520882 | − | 0.902194i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −2.41898 | + | 4.18980i | −0.214650 | + | 0.371785i | −0.953164 | − | 0.302453i | \(-0.902194\pi\) |
0.738514 | + | 0.674238i | \(0.235528\pi\) | |||||||
\(128\) | −7.24623 | − | 1.27771i | −0.640482 | − | 0.112934i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.90076 | − | 0.691822i | −0.166708 | − | 0.0606768i | ||||
\(131\) | −3.37090 | − | 1.22691i | −0.294517 | − | 0.107195i | 0.190536 | − | 0.981680i | \(-0.438977\pi\) |
−0.485053 | + | 0.874485i | \(0.661200\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.470844 | − | 7.83709i | −0.0408274 | − | 0.679562i | ||||
\(134\) | − | 3.71217i | − | 0.320683i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.185175 | − | 0.106911i | −0.0158787 | − | 0.00916755i | ||||
\(137\) | 3.52128 | + | 0.620896i | 0.300843 | + | 0.0530467i | 0.322032 | − | 0.946729i | \(-0.395634\pi\) |
−0.0211891 | + | 0.999775i | \(0.506745\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.85722 | + | 4.59686i | 0.327165 | + | 0.389900i | 0.904405 | − | 0.426674i | \(-0.140315\pi\) |
−0.577240 | + | 0.816574i | \(0.695870\pi\) | |||||||
\(140\) | −8.76018 | − | 6.49684i | −0.740371 | − | 0.549084i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.214279 | − | 1.21524i | 0.0179819 | − | 0.101981i | ||||
\(143\) | 2.73295 | + | 4.73360i | 0.228540 | + | 0.395844i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.60530 | − | 5.54562i | −0.797677 | − | 0.460539i | ||||
\(146\) | −0.106648 | + | 0.604829i | −0.00882623 | + | 0.0500560i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −10.9500 | − | 3.98546i | −0.900081 | − | 0.327603i | ||||
\(149\) | 5.49324 | − | 0.968607i | 0.450024 | − | 0.0793514i | 0.0559572 | − | 0.998433i | \(-0.482179\pi\) |
0.394067 | + | 0.919082i | \(0.371068\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.21887 | + | 1.02275i | 0.0991903 | + | 0.0832306i | 0.691034 | − | 0.722822i | \(-0.257155\pi\) |
−0.591844 | + | 0.806053i | \(0.701600\pi\) | |||||||
\(152\) | 1.45401 | − | 2.51843i | 0.117936 | − | 0.204271i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.218831 | − | 0.915852i | −0.0176339 | − | 0.0738015i | ||||
\(155\) | −5.29598 | + | 6.31151i | −0.425384 | + | 0.506952i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.46292 | − | 23.2517i | 0.675414 | − | 1.85569i | 0.188947 | − | 0.981987i | \(-0.439493\pi\) |
0.486467 | − | 0.873699i | \(-0.338285\pi\) | |||||||
\(158\) | −0.953968 | + | 0.168210i | −0.0758936 | + | 0.0133821i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −2.08332 | − | 5.72388i | −0.164701 | − | 0.452513i | ||||
\(161\) | −5.83205 | + | 19.6109i | −0.459630 | + | 1.54555i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −6.48707 | − | 11.2359i | −0.508107 | − | 0.880066i | −0.999956 | − | 0.00938604i | \(-0.997012\pi\) |
0.491849 | − | 0.870680i | \(-0.336321\pi\) | |||||||
\(164\) | 3.60388 | − | 20.4386i | 0.281416 | − | 1.59599i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.0128161 | + | 0.0352119i | −0.000994721 | + | 0.00273297i | ||||
\(167\) | 1.43124 | + | 8.11696i | 0.110753 | + | 0.628110i | 0.988766 | + | 0.149473i | \(0.0477577\pi\) |
−0.878013 | + | 0.478637i | \(0.841131\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.22969 | − | 1.03183i | −0.0945915 | − | 0.0793717i | ||||
\(170\) | − | 0.115486i | − | 0.00885740i | ||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 14.4622 | 1.10273 | ||||||||
\(173\) | 22.1228 | − | 8.05204i | 1.68197 | − | 0.612186i | 0.688389 | − | 0.725342i | \(-0.258318\pi\) |
0.993577 | + | 0.113156i | \(0.0360960\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.143913 | + | 1.25110i | −0.0108788 | + | 0.0945740i | ||||
\(176\) | −1.77680 | + | 4.88173i | −0.133932 | + | 0.367974i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.08855 | + | 1.29728i | −0.0815903 | + | 0.0972355i | ||||
\(179\) | − | 8.34763i | − | 0.623931i | −0.950093 | − | 0.311965i | \(-0.899013\pi\) | ||
0.950093 | − | 0.311965i | \(-0.100987\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.60525 | + | 2.08149i | 0.267976 | + | 0.154716i | 0.627967 | − | 0.778240i | \(-0.283887\pi\) |
−0.359992 | + | 0.932956i | \(0.617220\pi\) | |||||||
\(182\) | 1.38647 | + | 2.09965i | 0.102772 | + | 0.155636i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −5.80517 | + | 4.87111i | −0.427963 | + | 0.359103i | ||||
\(185\) | −2.22069 | − | 12.5942i | −0.163268 | − | 0.925941i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.200593 | + | 0.239058i | −0.0146688 | + | 0.0174816i | ||||
\(188\) | 11.3805 | 0.830009 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.57064 | 0.113946 | ||||||||
\(191\) | −0.621752 | + | 0.740976i | −0.0449884 | + | 0.0536151i | −0.788069 | − | 0.615586i | \(-0.788919\pi\) |
0.743081 | + | 0.669201i | \(0.233364\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.25034 | − | 7.09105i | −0.0900017 | − | 0.510425i | −0.996165 | − | 0.0874966i | \(-0.972113\pi\) |
0.906163 | − | 0.422928i | \(-0.138998\pi\) | |||||||
\(194\) | −2.37397 | + | 1.99200i | −0.170441 | + | 0.143017i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 3.93845 | + | 12.9823i | 0.281318 | + | 0.927306i | ||||
\(197\) | −6.90426 | − | 3.98617i | −0.491908 | − | 0.284003i | 0.233458 | − | 0.972367i | \(-0.424996\pi\) |
−0.725366 | + | 0.688364i | \(0.758329\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − | 4.27232i | − | 0.302857i | −0.988468 | − | 0.151428i | \(-0.951613\pi\) | ||
0.988468 | − | 0.151428i | \(-0.0483873\pi\) | |||||||
\(200\) | −0.299829 | + | 0.357323i | −0.0212011 | + | 0.0252665i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0.712958 | − | 1.95884i | 0.0501635 | − | 0.137823i | ||||
\(203\) | 5.48766 | + | 12.6581i | 0.385158 | + | 0.888425i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 21.4031 | − | 7.79009i | 1.49486 | − | 0.544084i | ||||
\(206\) | 0.0533356 | 0.00371607 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | − | 13.8815i | − | 0.962507i | ||||||
\(209\) | −3.25124 | − | 2.72811i | −0.224893 | − | 0.188708i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.70699 | + | 21.0234i | 0.255199 | + | 1.44731i | 0.795560 | + | 0.605875i | \(0.207177\pi\) |
−0.540361 | + | 0.841433i | \(0.681712\pi\) | |||||||
\(212\) | −9.26415 | + | 25.4530i | −0.636264 | + | 1.74812i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.764235 | − | 4.33419i | 0.0522420 | − | 0.296279i | ||||
\(215\) | 7.93589 | + | 13.7454i | 0.541223 | + | 0.937426i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.96805 | − | 2.38174i | 0.676675 | − | 0.161683i | ||||
\(218\) | 0.0810826 | + | 0.222773i | 0.00549161 | + | 0.0150881i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −5.80618 | + | 1.02379i | −0.391453 | + | 0.0690237i | ||||
\(221\) | 0.285199 | − | 0.783579i | 0.0191846 | − | 0.0527092i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.92110 | + | 9.44000i | −0.530436 | + | 0.632149i | −0.963015 | − | 0.269447i | \(-0.913159\pi\) |
0.432579 | + | 0.901596i | \(0.357604\pi\) | |||||||
\(224\) | −2.15980 | + | 7.26256i | −0.144308 | + | 0.485250i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.75514 | − | 3.03999i | 0.116750 | − | 0.202217i | ||||
\(227\) | 14.3018 | + | 12.0006i | 0.949245 | + | 0.796511i | 0.979170 | − | 0.203041i | \(-0.0650825\pi\) |
−0.0299253 | + | 0.999552i | \(0.509527\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −19.1244 | + | 3.37215i | −1.26378 | + | 0.222838i | −0.765078 | − | 0.643937i | \(-0.777300\pi\) |
−0.498699 | + | 0.866775i | \(0.666189\pi\) | |||||||
\(230\) | −3.84613 | − | 1.39988i | −0.253607 | − | 0.0923052i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.887358 | + | 5.03246i | −0.0582579 | + | 0.330397i | ||||
\(233\) | −11.4205 | − | 6.59360i | −0.748179 | − | 0.431961i | 0.0768565 | − | 0.997042i | \(-0.475512\pi\) |
−0.825036 | + | 0.565081i | \(0.808845\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 6.24485 | + | 10.8164i | 0.407369 | + | 0.705584i | ||||
\(236\) | −0.531894 | + | 3.01652i | −0.0346234 | + | 0.196359i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.0855733 | + | 0.115385i | −0.00554689 | + | 0.00747929i | ||||
\(239\) | −10.0464 | − | 11.9729i | −0.649849 | − | 0.774460i | 0.336043 | − | 0.941847i | \(-0.390911\pi\) |
−0.985891 | + | 0.167387i | \(0.946467\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.39561 | + | 1.12772i | 0.411978 | + | 0.0726428i | 0.375796 | − | 0.926702i | \(-0.377369\pi\) |
0.0361818 | + | 0.999345i | \(0.488480\pi\) | |||||||
\(242\) | 1.92972 | + | 1.11413i | 0.124047 | + | 0.0716187i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.24483i | 0.527821i | ||||||||
\(245\) | −10.1776 | + | 10.8670i | −0.650225 | + | 0.694269i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.6568 | + | 3.87877i | 0.678079 | + | 0.246801i | ||||
\(248\) | 3.56708 | + | 1.29831i | 0.226510 | + | 0.0824429i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.85432 | − | 0.503293i | −0.180523 | − | 0.0318310i | ||||
\(251\) | −11.9045 | + | 20.6191i | −0.751403 | + | 1.30147i | 0.195740 | + | 0.980656i | \(0.437289\pi\) |
−0.947143 | + | 0.320812i | \(0.896044\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 5.53002 | + | 9.57828i | 0.347670 | + | 0.602182i | ||||
\(254\) | 0.411757 | + | 1.13129i | 0.0258359 | + | 0.0709836i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.63555 | − | 7.24609i | 0.539722 | − | 0.452881i | ||||
\(257\) | −5.27488 | − | 29.9153i | −0.329038 | − | 1.86607i | −0.479631 | − | 0.877470i | \(-0.659230\pi\) |
0.150594 | − | 0.988596i | \(-0.451881\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.11331 | + | 14.2286i | −0.441999 | + | 0.884122i | ||||
\(260\) | 13.6433 | − | 7.87694i | 0.846119 | − | 0.488507i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −0.773067 | + | 0.446330i | −0.0477602 | + | 0.0275744i | ||||
\(263\) | 5.29060 | + | 14.5358i | 0.326232 | + | 0.896316i | 0.989056 | + | 0.147540i | \(0.0471356\pi\) |
−0.662824 | + | 0.748775i | \(0.730642\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −29.2749 | + | 5.16196i | −1.79835 | + | 0.317097i | ||||
\(266\) | −1.56926 | − | 1.16382i | −0.0962175 | − | 0.0713581i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 22.1476 | + | 18.5840i | 1.35288 | + | 1.13520i | ||||
\(269\) | 0.343714 | − | 0.595329i | 0.0209566 | − | 0.0362979i | −0.855357 | − | 0.518039i | \(-0.826662\pi\) |
0.876314 | + | 0.481741i | \(0.159995\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 6.24649 | − | 3.60641i | 0.379447 | − | 0.219074i | −0.298131 | − | 0.954525i | \(-0.596363\pi\) |
0.677578 | + | 0.735451i | \(0.263030\pi\) | |||||||
\(272\) | 0.744748 | − | 0.271066i | 0.0451570 | − | 0.0164358i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.681599 | − | 0.571929i | 0.0411769 | − | 0.0345515i | ||||
\(275\) | 0.437593 | + | 0.521503i | 0.0263879 | + | 0.0314478i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.6791 | + | 4.25083i | −0.701727 | + | 0.255408i | −0.668148 | − | 0.744028i | \(-0.732913\pi\) |
−0.0335789 | + | 0.999436i | \(0.510691\pi\) | |||||||
\(278\) | 1.49325 | 0.0895593 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.36371 | + | 1.28159i | −0.320543 | + | 0.0765896i | ||||
\(281\) | −2.05517 | − | 0.362382i | −0.122601 | − | 0.0216179i | 0.112011 | − | 0.993707i | \(-0.464271\pi\) |
−0.234612 | + | 0.972089i | \(0.575382\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.0108 | + | 15.5056i | 0.773410 | + | 0.921714i | 0.998616 | − | 0.0525970i | \(-0.0167499\pi\) |
−0.225206 | + | 0.974311i | \(0.572305\pi\) | |||||||
\(284\) | 6.17764 | + | 7.36222i | 0.366575 | + | 0.436867i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.33949 | + | 0.236188i | 0.0792055 | + | 0.0139661i | ||||
\(287\) | −27.1566 | − | 8.07606i | −1.60301 | − | 0.476715i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −16.9524 | −0.997199 | ||||||||
\(290\) | −2.59354 | + | 0.943970i | −0.152298 | + | 0.0554318i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.07464 | − | 3.66421i | −0.179929 | − | 0.214432i | ||||
\(293\) | 21.6520 | − | 18.1682i | 1.26493 | − | 1.06140i | 0.269786 | − | 0.962920i | \(-0.413047\pi\) |
0.995139 | − | 0.0984780i | \(-0.0313974\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −3.15887 | + | 1.14973i | −0.183916 | + | 0.0669401i | ||||
\(296\) | −5.10266 | + | 2.94602i | −0.296586 | + | 0.171234i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.694022 | − | 1.20208i | 0.0402036 | − | 0.0696347i | ||||
\(299\) | −22.6391 | − | 18.9965i | −1.30925 | − | 1.09859i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.25615 | − | 19.6136i | 0.130042 | − | 1.13051i | ||||
\(302\) | 0.389925 | − | 0.0687543i | 0.0224377 | − | 0.00395637i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3.68656 | + | 10.1287i | 0.211439 | + | 0.580923i | ||||
\(305\) | −7.83616 | + | 4.52421i | −0.448697 | + | 0.259055i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.71807 | − | 0.991927i | 0.0980553 | − | 0.0566122i | −0.450170 | − | 0.892943i | \(-0.648637\pi\) |
0.548226 | + | 0.836330i | \(0.315303\pi\) | |||||||
\(308\) | 6.55969 | + | 3.27939i | 0.373773 | + | 0.186861i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0.356021 | + | 2.01909i | 0.0202206 | + | 0.114677i | ||||
\(311\) | −10.4064 | + | 8.73204i | −0.590095 | + | 0.495149i | −0.888245 | − | 0.459371i | \(-0.848075\pi\) |
0.298150 | + | 0.954519i | \(0.403631\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.00633 | + | 13.7548i | 0.282974 | + | 0.777466i | 0.997004 | + | 0.0773503i | \(0.0246460\pi\) |
−0.714030 | + | 0.700116i | \(0.753132\pi\) | |||||||
\(314\) | −3.07868 | − | 5.33243i | −0.173740 | − | 0.300927i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 3.77222 | − | 6.53368i | 0.212204 | − | 0.367548i | ||||
\(317\) | −18.6192 | − | 3.28307i | −1.04576 | − | 0.184395i | −0.375728 | − | 0.926730i | \(-0.622607\pi\) |
−0.670029 | + | 0.742335i | \(0.733719\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 7.00827 | + | 2.55080i | 0.392388 | + | 0.142817i | ||||
\(320\) | 13.0954 | + | 4.76633i | 0.732055 | + | 0.266446i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.80547 | + | 4.24857i | 0.156343 | + | 0.236763i | ||||
\(323\) | 0.647487i | 0.0360271i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −1.57537 | − | 0.909538i | −0.0873856 | − | 0.0504521i | ||||
\(326\) | −3.17948 | − | 0.560628i | −0.176095 | − | 0.0310503i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.74539 | − | 8.03884i | −0.372452 | − | 0.443871i | ||||
\(329\) | 1.77539 | − | 15.4342i | 0.0978805 | − | 0.850917i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2.05674 | − | 11.6643i | 0.113049 | − | 0.641130i | −0.874649 | − | 0.484756i | \(-0.838908\pi\) |
0.987698 | − | 0.156374i | \(-0.0499806\pi\) | |||||||
\(332\) | −0.145921 | − | 0.252743i | −0.00800847 | − | 0.0138711i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.77623 | + | 1.02551i | 0.0971909 | + | 0.0561132i | ||||
\(335\) | −5.50977 | + | 31.2475i | −0.301031 | + | 1.70723i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.6990 | + | 7.16984i | 1.07307 | + | 0.390566i | 0.817324 | − | 0.576178i | \(-0.195456\pi\) |
0.255747 | + | 0.966744i | \(0.417679\pi\) | |||||||
\(338\) | −0.393386 | + | 0.0693646i | −0.0213974 | + | 0.00377294i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.689016 | + | 0.578153i | 0.0373671 | + | 0.0313548i | ||||
\(341\) | 2.77009 | − | 4.79794i | 0.150009 | − | 0.259823i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 18.2210 | − | 3.31605i | 0.983840 | − | 0.179050i | ||||
\(344\) | 4.70047 | − | 5.60181i | 0.253433 | − | 0.302029i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.00370 | − | 5.50512i | 0.107719 | − | 0.295957i | ||||
\(347\) | 30.1613 | − | 5.31825i | 1.61914 | − | 0.285499i | 0.710697 | − | 0.703499i | \(-0.248380\pi\) |
0.908447 | + | 0.418000i | \(0.137269\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 6.58819 | + | 18.1009i | 0.352658 | + | 0.968919i | 0.981513 | + | 0.191397i | \(0.0613017\pi\) |
−0.628855 | + | 0.777523i | \(0.716476\pi\) | |||||||
\(350\) | 0.215471 | + | 0.227551i | 0.0115174 | + | 0.0121631i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.04795 | + | 3.54715i | 0.109156 | + | 0.189064i | ||||
\(353\) | −3.20406 | + | 18.1711i | −0.170535 | + | 0.967152i | 0.772637 | + | 0.634848i | \(0.218937\pi\) |
−0.943172 | + | 0.332304i | \(0.892174\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −3.60743 | + | 9.91132i | −0.191462 | + | 0.526038i | ||||
\(356\) | −2.29032 | − | 12.9890i | −0.121387 | − | 0.688418i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −1.59127 | − | 1.33523i | −0.0841011 | − | 0.0705692i | ||||
\(359\) | 0.779690i | 0.0411504i | 0.999788 | + | 0.0205752i | \(0.00654976\pi\) | ||||
−0.999788 | + | 0.0205752i | \(0.993450\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 10.1940 | 0.536528 | ||||||||
\(362\) | 0.973456 | − | 0.354309i | 0.0511637 | − | 0.0186221i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −19.4679 | − | 2.23939i | −1.02040 | − | 0.117376i | ||||
\(365\) | 1.79543 | − | 4.93291i | 0.0939771 | − | 0.258200i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 15.9909 | − | 19.0572i | 0.834717 | − | 0.994777i | −0.165247 | − | 0.986252i | \(-0.552842\pi\) |
0.999964 | − | 0.00852445i | \(-0.00271345\pi\) | |||||||
\(368\) | − | 28.0887i | − | 1.46423i | ||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.75597 | − | 1.59116i | −0.143276 | − | 0.0827205i | ||||
\(371\) | 33.0742 | + | 16.5348i | 1.71712 | + | 0.858443i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −18.4215 | + | 15.4574i | −0.953827 | + | 0.800356i | −0.979938 | − | 0.199303i | \(-0.936132\pi\) |
0.0261111 | + | 0.999659i | \(0.491688\pi\) | |||||||
\(374\) | 0.0134848 | + | 0.0764763i | 0.000697284 | + | 0.00395449i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 3.69886 | − | 4.40813i | 0.190754 | − | 0.227332i | ||||
\(377\) | −19.9284 | −1.02637 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.5872 | −1.57116 | −0.785579 | − | 0.618761i | \(-0.787635\pi\) | ||||
−0.785579 | + | 0.618761i | \(0.787635\pi\) | |||||||
\(380\) | −7.86301 | + | 9.37077i | −0.403364 | + | 0.480710i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.0417971 | + | 0.237043i | 0.00213853 | + | 0.0121282i | ||||
\(383\) | −27.5758 | + | 23.1388i | −1.40906 | + | 1.18234i | −0.452149 | + | 0.891942i | \(0.649342\pi\) |
−0.956907 | + | 0.290396i | \(0.906213\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.482678 | + | 8.03406i | 0.0245995 | + | 0.409454i | ||||
\(386\) | −1.55173 | − | 0.895891i | −0.0789809 | − | 0.0455997i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | − | 24.1360i | − | 1.22532i | ||||||
\(389\) | −15.6823 | + | 18.6895i | −0.795125 | + | 0.947593i | −0.999510 | − | 0.0312973i | \(-0.990036\pi\) |
0.204385 | + | 0.978891i | \(0.434481\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.577092 | − | 1.58555i | 0.0291848 | − | 0.0801845i | ||||
\(392\) | 6.30863 | + | 2.69395i | 0.318634 | + | 0.136065i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.86422 | + | 0.678522i | −0.0939183 | + | 0.0341835i | ||||
\(395\) | 8.27977 | 0.416600 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 6.76334i | − | 0.339443i | −0.985492 | − | 0.169721i | \(-0.945713\pi\) | ||
0.985492 | − | 0.169721i | \(-0.0542867\pi\) | |||||||
\(398\) | −0.814412 | − | 0.683373i | −0.0408228 | − | 0.0342544i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.300226 | − | 1.70266i | −0.0150113 | − | 0.0851332i | ||||
\(401\) | −0.329299 | + | 0.904741i | −0.0164444 | + | 0.0451806i | −0.947643 | − | 0.319331i | \(-0.896542\pi\) |
0.931199 | + | 0.364512i | \(0.118764\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2.57064 | + | 14.5788i | −0.128053 | + | 0.726224i | ||||
\(404\) | 8.11759 | + | 14.0601i | 0.403865 | + | 0.699515i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 3.29072 | + | 0.978623i | 0.163316 | + | 0.0485682i | ||||
\(407\) | 2.94113 | + | 8.08068i | 0.145786 | + | 0.400545i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.6167 | + | 5.04589i | −1.41500 | + | 0.249503i | −0.828294 | − | 0.560294i | \(-0.810688\pi\) |
−0.586709 | + | 0.809798i | \(0.699577\pi\) | |||||||
\(410\) | 1.93851 | − | 5.32602i | 0.0957363 | − | 0.263033i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.267011 | + | 0.318212i | −0.0131547 | + | 0.0156772i | ||||
\(413\) | 4.00803 | + | 1.19194i | 0.197222 | + | 0.0586516i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0.160144 | − | 0.277377i | 0.00786114 | − | 0.0136159i | ||||
\(416\) | −8.38400 | − | 7.03501i | −0.411060 | − | 0.344920i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.04009 | + | 0.183397i | −0.0508727 | + | 0.00897022i | ||||
\(419\) | 22.8869 | + | 8.33016i | 1.11810 | + | 0.406955i | 0.833958 | − | 0.551828i | \(-0.186069\pi\) |
0.284141 | + | 0.958782i | \(0.408292\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.03579 | − | 11.5455i | 0.0992181 | − | 0.562694i | −0.894155 | − | 0.447758i | \(-0.852223\pi\) |
0.993373 | − | 0.114936i | \(-0.0366663\pi\) | |||||||
\(422\) | 4.60053 | + | 2.65611i | 0.223950 | + | 0.129298i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.84799 | + | 11.8611i | 0.332568 | + | 0.576024i | ||||
\(425\) | 0.0180347 | − | 0.102280i | 0.000874812 | − | 0.00496130i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 11.1816 | + | 1.28622i | 0.541117 | + | 0.0622444i | ||||
\(428\) | 22.0328 | + | 26.2576i | 1.06499 | + | 1.26921i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 3.88958 | + | 0.685839i | 0.187572 | + | 0.0330741i | ||||
\(431\) | −22.9443 | − | 13.2469i | −1.10519 | − | 0.638082i | −0.167610 | − | 0.985853i | \(-0.553605\pi\) |
−0.937579 | + | 0.347772i | \(0.886938\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 23.5474i | − | 1.13161i | −0.824538 | − | 0.565807i | \(-0.808565\pi\) | ||
0.824538 | − | 0.565807i | \(-0.191435\pi\) | |||||||
\(434\) | 1.14040 | − | 2.28113i | 0.0547412 | − | 0.109498i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.73503 | − | 0.631499i | −0.0830928 | − | 0.0302433i | ||||
\(437\) | 21.5638 | + | 7.84857i | 1.03154 | + | 0.375448i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.11182 | + | 0.725025i | 0.196247 | + | 0.0346036i | 0.270907 | − | 0.962605i | \(-0.412676\pi\) |
−0.0746608 | + | 0.997209i | \(0.523787\pi\) | |||||||
\(440\) | −1.49056 | + | 2.58172i | −0.0710595 | + | 0.123079i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.103751 | − | 0.179702i | −0.00493494 | − | 0.00854757i | ||||
\(443\) | −0.830398 | − | 2.28150i | −0.0394534 | − | 0.108397i | 0.918402 | − | 0.395649i | \(-0.129480\pi\) |
−0.957855 | + | 0.287252i | \(0.907258\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 11.0884 | − | 9.30431i | 0.525643 | − | 0.441066i | ||||
\(446\) | 0.532494 | + | 3.01992i | 0.0252143 | + | 0.142997i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −9.55213 | − | 14.4656i | −0.451296 | − | 0.683435i | ||||
\(449\) | −10.0967 | + | 5.82936i | −0.476495 | + | 0.275104i | −0.718955 | − | 0.695057i | \(-0.755379\pi\) |
0.242460 | + | 0.970161i | \(0.422046\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.2637 | + | 7.65783i | −0.624565 | + | 0.360593i | ||||
\(452\) | 9.35057 | + | 25.6905i | 0.439814 | + | 1.20838i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 4.57525 | − | 0.806740i | 0.214727 | − | 0.0378622i | ||||
\(455\) | −8.55431 | − | 19.7318i | −0.401032 | − | 0.925041i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −16.2729 | − | 13.6546i | −0.761213 | − | 0.638734i | 0.177229 | − | 0.984170i | \(-0.443287\pi\) |
−0.938442 | + | 0.345436i | \(0.887731\pi\) | |||||||
\(458\) | −2.41620 | + | 4.18498i | −0.112902 | + | 0.195551i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 27.6067 | − | 15.9387i | 1.28717 | − | 0.743147i | ||||
\(461\) | 25.2929 | − | 9.20586i | 1.17801 | − | 0.428760i | 0.322510 | − | 0.946566i | \(-0.395473\pi\) |
0.855498 | + | 0.517806i | \(0.173251\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 18.3826 | − | 15.4248i | 0.854311 | − | 0.716852i | −0.106424 | − | 0.994321i | \(-0.533940\pi\) |
0.960735 | + | 0.277469i | \(0.0894956\pi\) | |||||||
\(464\) | −12.1749 | − | 14.5095i | −0.565208 | − | 0.673588i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −3.08365 | + | 1.12236i | −0.142847 | + | 0.0519922i | ||||
\(467\) | −6.18976 | −0.286428 | −0.143214 | − | 0.989692i | \(-0.545744\pi\) | ||||
−0.143214 | + | 0.989692i | \(0.545744\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 28.6588 | − | 27.1374i | 1.32334 | − | 1.25309i | ||||
\(470\) | 3.06076 | + | 0.539695i | 0.141183 | + | 0.0248943i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0.995547 | + | 1.18645i | 0.0458238 | + | 0.0546106i | ||||
\(473\) | −6.86022 | − | 8.17569i | −0.315433 | − | 0.375918i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.39103 | + | 0.245276i | 0.0638248 | + | 0.0112540i | ||||
\(476\) | −0.260010 | − | 1.08819i | −0.0119175 | − | 0.0498773i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.88929 | −0.177892 | ||||||||
\(479\) | −15.1479 | + | 5.51338i | −0.692124 | + | 0.251913i | −0.664044 | − | 0.747693i | \(-0.731161\pi\) |
−0.0280796 | + | 0.999606i | \(0.508939\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.7699 | − | 17.6021i | −0.673450 | − | 0.802586i | ||||
\(482\) | 1.23797 | − | 1.03878i | 0.0563881 | − | 0.0473152i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −16.3078 | + | 5.93555i | −0.741263 | + | 0.269798i | ||||
\(485\) | 22.9397 | − | 13.2442i | 1.04164 | − | 0.601390i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.0260 | + | 22.5617i | −0.590265 | + | 1.02237i | 0.403931 | + | 0.914789i | \(0.367643\pi\) |
−0.994196 | + | 0.107580i | \(0.965690\pi\) | |||||||
\(488\) | 3.19356 | + | 2.67971i | 0.144566 | + | 0.121305i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.443582 | + | 3.67833i | 0.0200390 | + | 0.166170i | ||||
\(491\) | −10.3899 | + | 1.83203i | −0.468892 | + | 0.0826783i | −0.403102 | − | 0.915155i | \(-0.632068\pi\) |
−0.0657902 | + | 0.997833i | \(0.520957\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.389146 | − | 1.06917i | −0.0175263 | − | 0.0481530i | ||||
\(494\) | 2.44399 | − | 1.41104i | 0.109960 | − | 0.0634857i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.1851 | + | 7.03507i | −0.547127 | + | 0.315884i | ||||
\(497\) | 10.9484 | − | 7.22958i | 0.491101 | − | 0.324291i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.40174 | − | 7.94964i | −0.0627503 | − | 0.355875i | −0.999974 | − | 0.00714726i | \(-0.997725\pi\) |
0.937224 | − | 0.348728i | \(-0.113386\pi\) | |||||||
\(500\) | 17.2922 | − | 14.5098i | 0.773329 | − | 0.648900i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.02637 | + | 5.56739i | 0.0904411 | + | 0.248485i | ||||
\(503\) | −15.6629 | − | 27.1289i | −0.698373 | − | 1.20962i | −0.969030 | − | 0.246941i | \(-0.920575\pi\) |
0.270658 | − | 0.962676i | \(-0.412759\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −8.90877 | + | 15.4304i | −0.396435 | + | 0.686646i | ||||
\(506\) | 2.71041 | + | 0.477918i | 0.120492 | + | 0.0212460i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −8.81089 | − | 3.20690i | −0.390920 | − | 0.142283i | ||||
\(509\) | −38.0919 | − | 13.8643i | −1.68840 | − | 0.614526i | −0.693974 | − | 0.720000i | \(-0.744142\pi\) |
−0.994422 | + | 0.105474i | \(0.966364\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.44905 | + | 3.59819i | −0.241052 | + | 0.159175i | ||||
\(512\) | − | 17.5212i | − | 0.774336i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −6.54634 | − | 3.77953i | −0.288747 | − | 0.166708i | ||||
\(515\) | −0.448957 | − | 0.0791632i | −0.0197834 | − | 0.00348835i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.39839 | − | 6.43355i | −0.237421 | − | 0.282947i | ||||
\(518\) | 1.57453 | + | 3.63189i | 0.0691808 | + | 0.159576i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 1.38324 | − | 7.84473i | 0.0606590 | − | 0.344014i | ||||
\(521\) | −11.7007 | − | 20.2662i | −0.512616 | − | 0.887878i | −0.999893 | − | 0.0146299i | \(-0.995343\pi\) |
0.487277 | − | 0.873248i | \(-0.337990\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.1378 | + | 7.00778i | 0.530751 | + | 0.306429i | 0.741322 | − | 0.671149i | \(-0.234199\pi\) |
−0.210571 | + | 0.977578i | \(0.567532\pi\) | |||||||
\(524\) | 1.20726 | − | 6.84672i | 0.0527395 | − | 0.299100i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.61714 | + | 1.31653i | 0.157715 | + | 0.0574035i | ||||
\(527\) | −0.832360 | + | 0.146768i | −0.0362582 | + | 0.00639329i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −28.1904 | − | 23.6546i | −1.22567 | − | 1.02846i | ||||
\(530\) | −3.69863 | + | 6.40621i | −0.160658 | + | 0.278268i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 14.7997 | − | 3.53619i | 0.641647 | − | 0.153313i | ||||
\(533\) | 26.3058 | − | 31.3500i | 1.13943 | − | 1.35792i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.8660 | + | 35.3491i | −0.556246 | + | 1.52827i | ||||
\(536\) | 14.3967 | − | 2.53853i | 0.621843 | − | 0.109648i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.0585066 | − | 0.160745i | −0.00252240 | − | 0.00693023i | ||||
\(539\) | 5.47084 | − | 8.38466i | 0.235646 | − | 0.361153i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −11.9247 | − | 20.6542i | −0.512683 | − | 0.887993i | −0.999892 | − | 0.0147075i | \(-0.995318\pi\) |
0.487209 | − | 0.873285i | \(-0.338015\pi\) | |||||||
\(542\) | 0.311675 | − | 1.76759i | 0.0133876 | − | 0.0759247i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.213716 | − | 0.587180i | 0.00916300 | − | 0.0251751i | ||||
\(545\) | −0.351870 | − | 1.99555i | −0.0150724 | − | 0.0854801i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −0.534982 | − | 0.448903i | −0.0228742 | − | 0.0191937i | 0.631279 | − | 0.775556i | \(-0.282530\pi\) |
−0.654153 | + | 0.756362i | \(0.726975\pi\) | |||||||
\(548\) | 6.92978i | 0.296026i | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.169406 | 0.00722350 | ||||||||
\(551\) | 14.5409 | − | 5.29247i | 0.619465 | − | 0.225467i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −8.27250 | − | 6.13516i | −0.351782 | − | 0.260894i | ||||
\(554\) | −1.05779 | + | 2.90626i | −0.0449413 | + | 0.123475i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −7.47559 | + | 8.90906i | −0.317036 | + | 0.377828i | ||||
\(557\) | 11.1225i | 0.471276i | 0.971841 | + | 0.235638i | \(0.0757180\pi\) | ||||
−0.971841 | + | 0.235638i | \(0.924282\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 24.6973 | + | 14.2590i | 1.04458 | + | 0.603090i | ||||
\(560\) | 9.14027 | − | 18.2831i | 0.386247 | − | 0.772601i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −0.397811 | + | 0.333803i | −0.0167806 | + | 0.0140806i | ||||
\(563\) | −1.95102 | − | 11.0648i | −0.0822256 | − | 0.466325i | −0.997921 | − | 0.0644512i | \(-0.979470\pi\) |
0.915695 | − | 0.401873i | \(-0.131641\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −19.2861 | + | 22.9843i | −0.811373 | + | 0.966957i | ||||
\(566\) | 5.03688 | 0.211716 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 4.85953 | 0.203901 | ||||||||
\(569\) | 23.2352 | − | 27.6906i | 0.974069 | − | 1.16085i | −0.0128961 | − | 0.999917i | \(-0.504105\pi\) |
0.986965 | − | 0.160934i | \(-0.0514505\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.46989 | + | 19.6787i | 0.145210 | + | 0.823528i | 0.967198 | + | 0.254023i | \(0.0817540\pi\) |
−0.821988 | + | 0.569505i | \(0.807135\pi\) | |||||||
\(572\) | −8.11495 | + | 6.80925i | −0.339303 | + | 0.284709i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −5.88330 | + | 3.88494i | −0.245564 | + | 0.162154i | ||||
\(575\) | −3.18770 | − | 1.84042i | −0.132936 | − | 0.0767508i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 30.5734i | 1.27279i | 0.771365 | + | 0.636393i | \(0.219574\pi\) | ||||
−0.771365 | + | 0.636393i | \(0.780426\pi\) | |||||||
\(578\) | −2.71159 | + | 3.23155i | −0.112787 | + | 0.134415i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 7.35196 | − | 20.1993i | 0.305273 | − | 0.838732i | ||||
\(581\) | −0.365534 | + | 0.158470i | −0.0151649 | + | 0.00657443i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 18.7834 | − | 6.83661i | 0.777930 | − | 0.283144i | ||||
\(584\) | −2.41861 | −0.100083 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | − | 7.03349i | − | 0.290551i | ||||||
\(587\) | −23.6386 | − | 19.8352i | −0.975671 | − | 0.818685i | 0.00775999 | − | 0.999970i | \(-0.497530\pi\) |
−0.983431 | + | 0.181285i | \(0.941974\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.99607 | − | 11.3203i | −0.0822467 | − | 0.466444i | ||||
\(590\) | −0.286104 | + | 0.786064i | −0.0117787 | + | 0.0323617i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.79234 | − | 21.5074i | 0.155864 | − | 0.883950i | ||||
\(593\) | 15.8362 | + | 27.4292i | 0.650316 | + | 1.12638i | 0.983046 | + | 0.183358i | \(0.0586968\pi\) |
−0.332730 | + | 0.943022i | \(0.607970\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.891579 | − | 0.844250i | 0.0365512 | − | 0.0346109i | ||||
\(596\) | 3.69743 | + | 10.1586i | 0.151453 | + | 0.416113i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −7.24240 | + | 1.27703i | −0.296164 | + | 0.0522217i | ||||
\(599\) | 5.08335 | − | 13.9664i | 0.207700 | − | 0.570651i | −0.791478 | − | 0.611198i | \(-0.790688\pi\) |
0.999178 | + | 0.0405469i | \(0.0129100\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 11.0892 | − | 13.2156i | 0.452338 | − | 0.539075i | −0.490890 | − | 0.871221i | \(-0.663328\pi\) |
0.943228 | + | 0.332146i | \(0.107773\pi\) | |||||||
\(602\) | −3.37798 | − | 3.56735i | −0.137676 | − | 0.145394i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.54186 | + | 2.67058i | −0.0627374 | + | 0.108664i | ||||
\(605\) | −14.5900 | − | 12.2424i | −0.593166 | − | 0.497726i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −40.0370 | + | 7.05960i | −1.62505 | + | 0.286540i | −0.910645 | − | 0.413191i | \(-0.864414\pi\) |
−0.714406 | + | 0.699731i | \(0.753303\pi\) | |||||||
\(608\) | 7.98578 | + | 2.90659i | 0.323866 | + | 0.117878i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.390993 | + | 2.21743i | −0.0158308 | + | 0.0897812i | ||||
\(611\) | 19.4346 | + | 11.2206i | 0.786240 | + | 0.453936i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.0624 | − | 24.3568i | −0.567975 | − | 0.983761i | −0.996766 | − | 0.0803574i | \(-0.974394\pi\) |
0.428792 | − | 0.903403i | \(-0.358939\pi\) | |||||||
\(614\) | 0.0857247 | − | 0.486169i | 0.00345957 | − | 0.0196202i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 3.40226 | − | 1.47498i | 0.137081 | − | 0.0594286i | ||||
\(617\) | −2.77984 | − | 3.31289i | −0.111912 | − | 0.133372i | 0.707180 | − | 0.707033i | \(-0.249967\pi\) |
−0.819092 | + | 0.573661i | \(0.805523\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.2309 | + | 2.68562i | 0.612182 | + | 0.107944i | 0.471139 | − | 0.882059i | \(-0.343843\pi\) |
0.141044 | + | 0.990003i | \(0.454954\pi\) | |||||||
\(620\) | −13.8287 | − | 7.98399i | −0.555373 | − | 0.320645i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 3.38045i | 0.135544i | ||||||||
\(623\) | −17.9730 | + | 1.07980i | −0.720074 | + | 0.0432613i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 21.0430 | + | 7.65903i | 0.841720 | + | 0.306361i | ||||
\(626\) | 3.42279 | + | 1.24579i | 0.136802 | + | 0.0497919i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 47.2271 | + | 8.32741i | 1.88457 | + | 0.332300i | ||||
\(629\) | 0.655946 | − | 1.13613i | 0.0261543 | − | 0.0453006i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.0661 | − | 29.5593i | −0.679389 | − | 1.17674i | −0.975165 | − | 0.221479i | \(-0.928911\pi\) |
0.295776 | − | 0.955257i | \(-0.404422\pi\) | |||||||
\(632\) | −1.30472 | − | 3.58470i | −0.0518991 | − | 0.142592i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.60404 | + | 3.02415i | −0.143135 | + | 0.120104i | ||||
\(635\) | −1.78688 | − | 10.1339i | −0.0709101 | − | 0.402151i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −6.07411 | + | 26.0531i | −0.240665 | + | 1.03226i | ||||
\(638\) | 1.60724 | − | 0.927943i | 0.0636314 | − | 0.0367376i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 13.5536 | − | 7.82515i | 0.535751 | − | 0.309316i | ||||
\(641\) | 1.13498 | + | 3.11832i | 0.0448289 | + | 0.123166i | 0.960087 | − | 0.279702i | \(-0.0902356\pi\) |
−0.915258 | + | 0.402868i | \(0.868013\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.9953 | − | 4.40734i | 0.985717 | − | 0.173808i | 0.342521 | − | 0.939510i | \(-0.388719\pi\) |
0.643196 | + | 0.765702i | \(0.277608\pi\) | |||||||
\(644\) | −39.3927 | − | 4.53133i | −1.55229 | − | 0.178559i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0.123427 | + | 0.103568i | 0.00485618 | + | 0.00407482i | ||||
\(647\) | 0.170073 | − | 0.294574i | 0.00668625 | − | 0.0115809i | −0.862663 | − | 0.505779i | \(-0.831205\pi\) |
0.869349 | + | 0.494198i | \(0.164538\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.95759 | − | 1.13021i | 0.0768420 | − | 0.0443648i | ||||
\(650\) | −0.425366 | + | 0.154821i | −0.0166842 | + | 0.00607256i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 19.2621 | − | 16.1628i | 0.754362 | − | 0.632985i | ||||
\(653\) | 18.0690 | + | 21.5337i | 0.707093 | + | 0.842680i | 0.993309 | − | 0.115485i | \(-0.0368421\pi\) |
−0.286217 | + | 0.958165i | \(0.592398\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 7.16981 | − | 2.60960i | 0.280148 | − | 0.101965i | ||||
\(656\) | 38.8965 | 1.51865 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.65817 | − | 2.80719i | −0.103626 | − | 0.109436i | ||||
\(659\) | −29.0041 | − | 5.11420i | −1.12984 | − | 0.199221i | −0.422682 | − | 0.906278i | \(-0.638911\pi\) |
−0.707157 | + | 0.707057i | \(0.750022\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.521355 | − | 0.621326i | −0.0202783 | − | 0.0241668i | 0.755810 | − | 0.654791i | \(-0.227243\pi\) |
−0.776088 | + | 0.630624i | \(0.782799\pi\) | |||||||
\(662\) | −1.89453 | − | 2.25782i | −0.0736332 | − | 0.0877526i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −0.145325 | − | 0.0256247i | −0.00563969 | − | 0.000994430i | ||||
\(665\) | 11.4820 | + | 12.1257i | 0.445252 | + | 0.470214i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −40.3245 | −1.56137 | ||||||||
\(668\) | −15.0106 | + | 5.46342i | −0.580779 | + | 0.211386i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 5.07525 | + | 6.04844i | 0.196074 | + | 0.233672i | ||||
\(671\) | 4.66091 | − | 3.91097i | 0.179933 | − | 0.150981i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 12.2309 | − | 4.45168i | 0.471466 | − | 0.171600i | −0.0953502 | − | 0.995444i | \(-0.530397\pi\) |
0.566816 | + | 0.823844i | \(0.308175\pi\) | |||||||
\(674\) | 4.51767 | − | 2.60828i | 0.174014 | − | 0.100467i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.55554 | − | 2.69428i | 0.0598286 | − | 0.103626i | ||||
\(677\) | 10.0934 | + | 8.46940i | 0.387922 | + | 0.325506i | 0.815803 | − | 0.578330i | \(-0.196295\pi\) |
−0.427881 | + | 0.903835i | \(0.640740\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −32.7333 | − | 3.76529i | −1.25619 | − | 0.144499i | ||||
\(680\) | 0.447885 | − | 0.0789741i | 0.0171756 | − | 0.00302852i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.471522 | − | 1.29550i | −0.0180555 | − | 0.0496071i | ||||
\(683\) | 5.41536 | − | 3.12656i | 0.207213 | − | 0.119635i | −0.392802 | − | 0.919623i | \(-0.628494\pi\) |
0.600016 | + | 0.799988i | \(0.295161\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −6.58629 | + | 3.80260i | −0.251649 | + | 0.145290i | ||||
\(686\) | 2.28239 | − | 4.00379i | 0.0871419 | − | 0.152865i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.70669 | + | 26.6929i | 0.179441 | + | 1.01766i | ||||
\(689\) | −40.9158 | + | 34.3324i | −1.55877 | + | 1.30796i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 1.78729 | + | 4.91054i | 0.0679918 | + | 0.186806i | 0.969035 | − | 0.246923i | \(-0.0794196\pi\) |
−0.901043 | + | 0.433729i | \(0.857197\pi\) | |||||||
\(692\) | 22.8137 | + | 39.5145i | 0.867246 | + | 1.50211i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.81061 | − | 6.60018i | 0.144649 | − | 0.250539i | ||||
\(695\) | −12.5696 | − | 2.21635i | −0.476791 | − | 0.0840711i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.19562 | + | 0.799141i | 0.0831651 | + | 0.0302696i | ||||
\(698\) | 4.50429 | + | 1.63943i | 0.170490 | + | 0.0620533i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.43632 | + | 0.146371i | −0.0920842 | + | 0.00553232i | ||||
\(701\) | 21.7945i | 0.823166i | 0.911372 | + | 0.411583i | \(0.135024\pi\) | ||||
−0.911372 | + | 0.411583i | \(0.864976\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 15.4517 | + | 8.92101i | 0.582770 | + | 0.336462i | ||||
\(704\) | −9.22845 | − | 1.62723i | −0.347810 | − | 0.0613284i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.95137 | + | 3.51731i | 0.111076 | + | 0.132376i | ||||
\(707\) | 20.3346 | − | 8.81566i | 0.764763 | − | 0.331547i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.00042 | − | 17.0162i | 0.112683 | − | 0.639059i | −0.875188 | − | 0.483783i | \(-0.839262\pi\) |
0.987871 | − | 0.155276i | \(-0.0496265\pi\) | |||||||
\(710\) | 1.31233 | + | 2.27302i | 0.0492507 | + | 0.0853048i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.77558 | − | 3.33453i | −0.216449 | − | 0.124967i | ||||
\(713\) | −5.20161 | + | 29.4998i | −0.194802 | + | 1.10478i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.9247 | − | 3.97626i | −0.408560 | − | 0.148704i | ||||
\(716\) | 15.9326 | − | 2.80934i | 0.595428 | − | 0.104990i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.148628 | + | 0.124714i | 0.00554676 | + | 0.00465429i | ||||
\(719\) | −12.1162 | + | 20.9858i | −0.451857 | + | 0.782639i | −0.998501 | − | 0.0547260i | \(-0.982571\pi\) |
0.546645 | + | 0.837365i | \(0.315905\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.389904 | + | 0.411763i | 0.0145208 | + | 0.0153348i | ||||
\(722\) | 1.63057 | − | 1.94324i | 0.0606836 | − | 0.0723199i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.75948 | + | 7.58160i | −0.102555 | + | 0.281768i | ||||
\(725\) | −2.44437 | + | 0.431008i | −0.0907815 | + | 0.0160072i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −4.28953 | − | 11.7854i | −0.159090 | − | 0.437095i | 0.834380 | − | 0.551189i | \(-0.185826\pi\) |
−0.993470 | + | 0.114094i | \(0.963604\pi\) | |||||||
\(728\) | −7.19483 | + | 6.81289i | −0.266658 | + | 0.252502i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.653150 | − | 1.13129i | −0.0241742 | − | 0.0418709i | ||||
\(731\) | −0.282733 | + | 1.60346i | −0.0104573 | + | 0.0593060i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −6.22901 | + | 17.1141i | −0.230074 | + | 0.632123i | −0.999982 | − | 0.00603225i | \(-0.998080\pi\) |
0.769908 | + | 0.638155i | \(0.220302\pi\) | |||||||
\(734\) | −1.07498 | − | 6.09652i | −0.0396783 | − | 0.225027i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −16.9648 | − | 14.2351i | −0.625329 | − | 0.524713i | ||||
\(737\) | − | 21.3358i | − | 0.785913i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −48.3570 | −1.77884 | −0.889420 | − | 0.457092i | \(-0.848891\pi\) | ||||
−0.889420 | + | 0.457092i | \(0.848891\pi\) | |||||||
\(740\) | 23.2903 | − | 8.47696i | 0.856167 | − | 0.311619i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8.44227 | − | 3.65997i | 0.309925 | − | 0.134362i | ||||
\(743\) | −11.3965 | + | 31.3117i | −0.418098 | + | 1.14872i | 0.534682 | + | 0.845053i | \(0.320431\pi\) |
−0.952780 | + | 0.303662i | \(0.901791\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −7.62617 | + | 9.08852i | −0.279401 | + | 0.332978i | ||||
\(746\) | 5.98406i | 0.219092i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.523782 | − | 0.302406i | −0.0191514 | − | 0.0110570i | ||||
\(749\) | 39.0478 | − | 25.7846i | 1.42677 | − | 0.942147i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 25.3577 | − | 21.2776i | 0.925314 | − | 0.776430i | −0.0496563 | − | 0.998766i | \(-0.515813\pi\) |
0.974970 | + | 0.222336i | \(0.0713682\pi\) | |||||||
\(752\) | 3.70375 | + | 21.0050i | 0.135062 | + | 0.765974i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −3.18762 | + | 3.79886i | −0.116086 | + | 0.138346i | ||||
\(755\) | −3.38427 | −0.123166 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 37.7148 | 1.37077 | 0.685384 | − | 0.728182i | \(-0.259635\pi\) | ||||
0.685384 | + | 0.728182i | \(0.259635\pi\) | |||||||
\(758\) | −4.89253 | + | 5.83069i | −0.177705 | + | 0.211780i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.07407 | + | 6.09133i | 0.0389605 | + | 0.220956i | ||||
\(761\) | −4.49229 | + | 3.76948i | −0.162845 | + | 0.136644i | −0.720569 | − | 0.693383i | \(-0.756119\pi\) |
0.557724 | + | 0.830027i | \(0.311675\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.12711 | + | 2.25453i | −0.0408040 | + | 0.0816194i | ||||
\(764\) | −1.62350 | − | 0.937327i | −0.0587361 | − | 0.0339113i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 8.95777i | 0.323657i | ||||||||
\(767\) | −3.88245 | + | 4.62692i | −0.140187 | + | 0.167069i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 6.33820 | − | 17.4141i | 0.228561 | − | 0.627967i | −0.771404 | − | 0.636346i | \(-0.780445\pi\) |
0.999965 | + | 0.00837935i | \(0.00266726\pi\) | |||||||
\(770\) | 1.60870 | + | 1.19307i | 0.0579735 | + | 0.0429951i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 13.1134 | − | 4.77289i | 0.471962 | − | 0.171780i | ||||
\(773\) | 6.32723 | 0.227575 | 0.113787 | − | 0.993505i | \(-0.463702\pi\) | ||||
0.113787 | + | 0.993505i | \(0.463702\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.84380i | 0.0662312i | ||||||||
\(776\) | −9.34888 | − | 7.84464i | −0.335605 | − | 0.281606i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.05424 | + | 5.97889i | 0.0377963 | + | 0.214354i | ||||
\(779\) | −10.8685 | + | 29.8609i | −0.389404 | + | 1.06988i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.23157 | − | 6.98460i | 0.0440692 | − | 0.249929i | ||||
\(782\) | −0.209937 | − | 0.363622i | −0.00750733 | − | 0.0130031i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −22.6797 | + | 11.4942i | −0.809988 | + | 0.410509i | ||||
\(785\) | 18.0004 | + | 49.4557i | 0.642462 | + | 1.76515i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 46.5890 | − | 8.21490i | 1.66072 | − | 0.292830i | 0.736998 | − | 0.675895i | \(-0.236243\pi\) |
0.923721 | + | 0.383065i | \(0.125132\pi\) | |||||||
\(788\) | 5.28456 | − | 14.5192i | 0.188255 | − | 0.517226i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 1.32438 | − | 1.57833i | 0.0471192 | − | 0.0561545i | ||||
\(791\) | 36.3002 | − | 8.67345i | 1.29068 | − | 0.308392i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −8.12896 | + | 14.0798i | −0.288668 | + | 0.499987i | ||||
\(794\) | −1.28926 | − | 1.08182i | −0.0457542 | − | 0.0383924i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 8.15429 | − | 1.43782i | 0.289021 | − | 0.0509622i | ||||
\(797\) | −14.8436 | − | 5.40264i | −0.525788 | − | 0.191371i | 0.0654686 | − | 0.997855i | \(-0.479146\pi\) |
−0.591257 | + | 0.806483i | \(0.701368\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.222486 | + | 1.26178i | −0.00787100 | + | 0.0446386i | ||||
\(800\) | −1.18051 | − | 0.681568i | −0.0417374 | − | 0.0240971i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0.119794 | + | 0.207489i | 0.00423007 | + | 0.00732669i | ||||
\(803\) | −0.612960 | + | 3.47627i | −0.0216309 | + | 0.122675i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −17.3094 | − | 39.9266i | −0.610075 | − | 1.40723i | ||||
\(806\) | 2.36791 | + | 2.82197i | 0.0834061 | + | 0.0993995i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.08440 | + | 1.42550i | 0.284408 | + | 0.0501488i | ||||
\(809\) | −43.3139 | − | 25.0073i | −1.52284 | − | 0.879210i | −0.999635 | − | 0.0269998i | \(-0.991405\pi\) |
−0.523200 | − | 0.852210i | \(-0.675262\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 43.1499i | 1.51520i | 0.652720 | + | 0.757600i | \(0.273628\pi\) | ||||
−0.652720 | + | 0.757600i | \(0.726372\pi\) | |||||||
\(812\) | −22.3129 | + | 14.7339i | −0.783028 | + | 0.517060i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 2.01083 | + | 0.731880i | 0.0704794 | + | 0.0256524i | ||||
\(815\) | 25.9314 | + | 9.43826i | 0.908338 | + | 0.330608i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −21.8074 | − | 3.84523i | −0.762944 | − | 0.134528i | ||||
\(818\) | −3.61546 | + | 6.26216i | −0.126412 | + | 0.218951i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 22.0715 | + | 38.2290i | 0.770770 | + | 1.33501i | ||||
\(821\) | −10.3629 | − | 28.4718i | −0.361667 | − | 0.993671i | −0.978440 | − | 0.206531i | \(-0.933783\pi\) |
0.616773 | − | 0.787141i | \(-0.288440\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.6545 | − | 13.9748i | 0.580539 | − | 0.487130i | −0.304585 | − | 0.952485i | \(-0.598518\pi\) |
0.885124 | + | 0.465355i | \(0.154073\pi\) | |||||||
\(824\) | 0.0364730 | + | 0.206849i | 0.00127060 | + | 0.00720592i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.868312 | − | 0.573376i | 0.0302124 | − | 0.0199503i | ||||
\(827\) | −6.80237 | + | 3.92735i | −0.236541 | + | 0.136567i | −0.613586 | − | 0.789628i | \(-0.710274\pi\) |
0.377045 | + | 0.926195i | \(0.376940\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.51679 | + | 2.03042i | −0.122143 | + | 0.0705193i | −0.559827 | − | 0.828610i | \(-0.689132\pi\) |
0.437684 | + | 0.899129i | \(0.355799\pi\) | |||||||
\(830\) | −0.0272595 | − | 0.0748947i | −0.000946190 | − | 0.00259963i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 24.6591 | − | 4.34806i | 0.854900 | − | 0.150742i | ||||
\(833\) | −1.51637 | + | 0.182864i | −0.0525391 | + | 0.00633586i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −13.4294 | − | 11.2686i | −0.464745 | − | 0.389967i | ||||
\(836\) | 4.11279 | − | 7.12355i | 0.142244 | − | 0.246373i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 5.24878 | − | 3.03038i | 0.181316 | − | 0.104683i | ||||
\(839\) | 16.0171 | − | 5.82975i | 0.552971 | − | 0.201265i | −0.0503948 | − | 0.998729i | \(-0.516048\pi\) |
0.603366 | + | 0.797464i | \(0.293826\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 1.38521 | − | 1.16233i | 0.0477660 | − | 0.0400804i | ||||
\(842\) | −1.87523 | − | 2.23482i | −0.0646248 | − | 0.0770169i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −38.8783 | + | 14.1506i | −1.33825 | + | 0.487082i | ||||
\(845\) | 3.41431 | 0.117456 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 5.50573 | + | 23.0426i | 0.189179 | + | 0.791752i | ||||
\(848\) | −49.9937 | − | 8.81524i | −1.71679 | − | 0.302717i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −0.0166124 | − | 0.0197979i | −0.000569801 | − | 0.000679062i | ||||
\(851\) | −29.8864 | − | 35.6172i | −1.02449 | − | 1.22094i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 23.9922 | + | 4.23048i | 0.821478 | + | 0.144849i | 0.568563 | − | 0.822640i | \(-0.307500\pi\) |
0.252915 | + | 0.967488i | \(0.418611\pi\) | |||||||
\(854\) | 2.03373 | − | 1.92577i | 0.0695927 | − | 0.0658983i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 17.3317 | 0.592385 | ||||||||
\(857\) | −50.7585 | + | 18.4746i | −1.73388 | + | 0.631079i | −0.998895 | − | 0.0470070i | \(-0.985032\pi\) |
−0.734982 | + | 0.678087i | \(0.762809\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.6336 | + | 21.0149i | 0.601652 | + | 0.717021i | 0.977800 | − | 0.209539i | \(-0.0671962\pi\) |
−0.376149 | + | 0.926559i | \(0.622752\pi\) | |||||||
\(860\) | −23.5641 | + | 19.7726i | −0.803529 | + | 0.674241i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −6.19522 | + | 2.25488i | −0.211010 | + | 0.0768014i | ||||
\(863\) | 13.4069 | − | 7.74047i | 0.456376 | − | 0.263489i | −0.254143 | − | 0.967167i | \(-0.581793\pi\) |
0.710519 | + | 0.703678i | \(0.248460\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −25.0372 | + | 43.3658i | −0.851292 | + | 1.47448i | ||||
\(866\) | −4.48872 | − | 3.76648i | −0.152533 | − | 0.127990i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 7.90054 | + | 18.2238i | 0.268162 | + | 0.618556i | ||||
\(869\) | −5.48295 | + | 0.966792i | −0.185996 | + | 0.0327962i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 19.4988 | + | 53.5725i | 0.660691 | + | 1.81523i | ||||
\(872\) | −0.808520 | + | 0.466799i | −0.0273799 | + | 0.0158078i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.94534 | − | 2.85519i | 0.167278 | − | 0.0965783i | ||||
\(875\) | −16.9806 | − | 25.7152i | −0.574050 | − | 0.869333i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.31884 | + | 35.8359i | 0.213372 | + | 1.21009i | 0.883709 | + | 0.468036i | \(0.155038\pi\) |
−0.670337 | + | 0.742057i | \(0.733851\pi\) | |||||||
\(878\) | 0.795908 | − | 0.667846i | 0.0268606 | − | 0.0225387i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −3.77921 | − | 10.3833i | −0.127397 | − | 0.350021i | ||||
\(881\) | 16.4076 | + | 28.4188i | 0.552787 | + | 0.957455i | 0.998072 | + | 0.0620663i | \(0.0197690\pi\) |
−0.445285 | + | 0.895389i | \(0.646898\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.24994 | + | 7.36111i | −0.143022 | + | 0.247721i | −0.928633 | − | 0.370999i | \(-0.879015\pi\) |
0.785611 | + | 0.618720i | \(0.212349\pi\) | |||||||
\(884\) | 1.59155 | + | 0.280633i | 0.0535295 | + | 0.00943870i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −0.567736 | − | 0.206639i | −0.0190735 | − | 0.00694218i | ||||
\(887\) | 7.44027 | + | 2.70804i | 0.249820 | + | 0.0909270i | 0.463895 | − | 0.885890i | \(-0.346452\pi\) |
−0.214075 | + | 0.976817i | \(0.568674\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5.72372 | + | 11.4490i | −0.191967 | + | 0.383988i | ||||
\(890\) | − | 3.60199i | − | 0.120739i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −20.6833 | − | 11.9415i | −0.692528 | − | 0.399831i | ||||
\(893\) | −17.1605 | − | 3.02586i | −0.574255 | − | 0.101257i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 11.4128 | + | 13.6012i | 0.381488 | + | 0.454640i | ||||
\(896\) | −19.3399 | − | 2.22466i | −0.646102 | − | 0.0743208i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −0.503787 | + | 2.85712i | −0.0168116 | + | 0.0953433i | ||||
\(899\) | 10.0996 | + | 17.4931i | 0.336842 | + | 0.583427i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −2.64092 | − | 1.52474i | −0.0879819 | − | 0.0507964i | ||||
\(902\) | −0.661808 | + | 3.75330i | −0.0220358 | + | 0.124971i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.9901 | + | 4.72800i | 0.432044 | + | 0.157251i | ||||
\(905\) | −8.72002 | + | 1.53758i | −0.289863 | + | 0.0511107i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −28.2444 | − | 23.6999i | −0.937840 | − | 0.786941i | 0.0393684 | − | 0.999225i | \(-0.487465\pi\) |
−0.977208 | + | 0.212284i | \(0.931910\pi\) | |||||||
\(908\) | −18.0917 | + | 31.3357i | −0.600393 | + | 1.03991i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −5.12967 | − | 1.52550i | −0.170047 | − | 0.0505699i | ||||
\(911\) | 3.62967 | − | 4.32568i | 0.120256 | − | 0.143316i | −0.702557 | − | 0.711627i | \(-0.747959\pi\) |
0.822814 | + | 0.568311i | \(0.192403\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.0736607 | + | 0.202381i | −0.00243781 | + | 0.00669784i | ||||
\(914\) | −5.20581 | + | 0.917924i | −0.172193 | + | 0.0303622i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −12.8724 | − | 35.3666i | −0.425316 | − | 1.16855i | ||||
\(917\) | −9.09719 | − | 2.70540i | −0.300416 | − | 0.0893401i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.6179 | + | 18.3908i | 0.350253 | + | 0.606655i | 0.986294 | − | 0.165000i | \(-0.0527624\pi\) |
−0.636041 | + | 0.771655i | \(0.719429\pi\) | |||||||
\(920\) | 2.79894 | − | 15.8736i | 0.0922782 | − | 0.523336i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.29082 | − | 6.29397i | 0.0754441 | − | 0.207281i | ||||
\(923\) | 3.29085 | + | 18.6634i | 0.108320 | + | 0.614312i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.19233 | − | 1.83958i | −0.0720834 | − | 0.0604851i | ||||
\(926\) | − | 5.97143i | − | 0.196233i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −14.9335 | −0.490216 | ||||||||
\(929\) | 37.4072 | − | 13.6151i | 1.22729 | − | 0.446697i | 0.354621 | − | 0.935010i | \(-0.384610\pi\) |
0.872668 | + | 0.488314i | \(0.162388\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −2.48699 | − | 20.6230i | −0.0815078 | − | 0.675891i | ||||
\(932\) | 8.74129 | − | 24.0165i | 0.286331 | − | 0.786687i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.990073 | + | 1.17992i | −0.0323962 | + | 0.0386083i | ||||
\(935\) | − | 0.663760i | − | 0.0217073i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.26157 | − | 1.30572i | −0.0738824 | − | 0.0426560i | 0.462604 | − | 0.886565i | \(-0.346915\pi\) |
−0.536486 | + | 0.843909i | \(0.680249\pi\) | |||||||
\(938\) | −0.589002 | − | 9.80380i | −0.0192316 | − | 0.320105i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −18.5429 | + | 15.5593i | −0.604802 | + | 0.507489i | ||||
\(941\) | 5.15868 | + | 29.2563i | 0.168168 | + | 0.953730i | 0.945737 | + | 0.324932i | \(0.105341\pi\) |
−0.777569 | + | 0.628798i | \(0.783547\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 53.2288 | − | 63.4357i | 1.73337 | − | 2.06575i | ||||
\(944\) | −5.74070 | −0.186844 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.65581 | −0.0863477 | ||||||||
\(947\) | 11.1333 | − | 13.2682i | 0.361784 | − | 0.431158i | −0.554193 | − | 0.832388i | \(-0.686973\pi\) |
0.915977 | + | 0.401231i | \(0.131417\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.63787 | − | 9.28883i | −0.0531676 | − | 0.301528i | ||||
\(950\) | 0.269256 | − | 0.225932i | 0.00873581 | − | 0.00733021i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.506010 | − | 0.252970i | −0.0163999 | − | 0.00819880i | ||||
\(953\) | 16.8568 | + | 9.73226i | 0.546044 | + | 0.315259i | 0.747525 | − | 0.664234i | \(-0.231242\pi\) |
−0.201481 | + | 0.979492i | \(0.564575\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | − | 2.05737i | − | 0.0665748i | ||||||
\(956\) | 19.4707 | − | 23.2043i | 0.629728 | − | 0.750481i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −1.37197 | + | 3.76945i | −0.0443262 | + | 0.121785i | ||||
\(959\) | 9.39817 | + | 1.08107i | 0.303483 | + | 0.0349095i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0304 | + | 5.47063i | −0.484853 | + | 0.176472i | ||||
\(962\) | −5.71790 | −0.184352 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 12.5864i | 0.405381i | ||||||||
\(965\) | 11.7321 | + | 9.84438i | 0.377669 | + | 0.316902i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.08674 | + | 17.5057i | 0.0992627 | + | 0.562947i | 0.993357 | + | 0.115069i | \(0.0367089\pi\) |
−0.894095 | + | 0.447878i | \(0.852180\pi\) | |||||||
\(968\) | −3.00124 | + | 8.24583i | −0.0964634 | + | 0.265031i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.14460 | − | 6.49134i | 0.0367509 | − | 0.208424i | ||||
\(971\) | −15.6634 | − | 27.1298i | −0.502662 | − | 0.870636i | −0.999995 | − | 0.00307625i | \(-0.999021\pi\) |
0.497334 | − | 0.867559i | \(-0.334313\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 10.9163 | + | 11.5282i | 0.349959 | + | 0.369578i | ||||
\(974\) | 2.21727 | + | 6.09191i | 0.0710461 | + | 0.195197i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −15.2175 | + | 2.68326i | −0.487100 | + | 0.0858889i | ||||
\(977\) | 0.0731353 | − | 0.200938i | 0.00233980 | − | 0.00642856i | −0.938517 | − | 0.345232i | \(-0.887800\pi\) |
0.940857 | + | 0.338804i | \(0.110022\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.25646 | + | 7.45616i | −0.199957 | + | 0.238300i | ||||
\(980\) | −24.1664 | − | 15.7681i | −0.771967 | − | 0.503695i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −1.31268 | + | 2.27362i | −0.0418892 | + | 0.0725543i | ||||
\(983\) | 14.8906 | + | 12.4947i | 0.474935 | + | 0.398518i | 0.848591 | − | 0.529049i | \(-0.177451\pi\) |
−0.373656 | + | 0.927568i | \(0.621896\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 16.6994 | − | 2.94455i | 0.532086 | − | 0.0938210i | ||||
\(986\) | −0.266056 | − | 0.0968364i | −0.00847295 | − | 0.00308390i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −3.81667 | + | 21.6454i | −0.121424 | + | 0.688632i | ||||
\(989\) | 49.9741 | + | 28.8526i | 1.58908 | + | 0.917458i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 14.0834 | + | 24.3931i | 0.447373 | + | 0.774872i | 0.998214 | − | 0.0597375i | \(-0.0190264\pi\) |
−0.550841 | + | 0.834610i | \(0.685693\pi\) | |||||||
\(992\) | −1.92633 | + | 10.9248i | −0.0611610 | + | 0.346861i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.373090 | − | 3.24343i | 0.0118337 | − | 0.102875i | ||||
\(995\) | 5.84108 | + | 6.96113i | 0.185175 | + | 0.220683i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −32.9869 | − | 5.81648i | −1.04471 | − | 0.184210i | −0.375144 | − | 0.926966i | \(-0.622407\pi\) |
−0.669561 | + | 0.742757i | \(0.733518\pi\) | |||||||
\(998\) | −1.73961 | − | 1.00437i | −0.0550665 | − | 0.0317927i | ||||
\(999\) | 0 | 0 |
(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 | 567.2.ba.a.143.13 | 132 | ||
3.2 | odd | 2 | 189.2.ba.a.101.10 | ✓ | 132 | ||
7.5 | odd | 6 | 567.2.bd.a.467.10 | 132 | |||
21.5 | even | 6 | 189.2.bd.a.47.13 | yes | 132 | ||
27.4 | even | 9 | 189.2.bd.a.185.13 | yes | 132 | ||
27.23 | odd | 18 | 567.2.bd.a.17.10 | 132 | |||
189.131 | even | 18 | inner | 567.2.ba.a.341.13 | 132 | ||
189.166 | odd | 18 | 189.2.ba.a.131.10 | yes | 132 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
189.2.ba.a.101.10 | ✓ | 132 | 3.2 | odd | 2 | ||
189.2.ba.a.131.10 | yes | 132 | 189.166 | odd | 18 | ||
189.2.bd.a.47.13 | yes | 132 | 21.5 | even | 6 | ||
189.2.bd.a.185.13 | yes | 132 | 27.4 | even | 9 | ||
567.2.ba.a.143.13 | 132 | 1.1 | even | 1 | trivial | ||
567.2.ba.a.341.13 | 132 | 189.131 | even | 18 | inner | ||
567.2.bd.a.17.10 | 132 | 27.23 | odd | 18 | |||
567.2.bd.a.467.10 | 132 | 7.5 | odd | 6 |