Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [648,2,Mod(35,648)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(648, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("648.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 648 = 2^{3} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 648.v (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: | \(5.17430605098\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 216) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 35.30 | ||
Character | \(\chi\) | \(=\) | 648.35 |
Dual form | 648.2.v.b.611.30 |
$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(487\) | \(569\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38842 | + | 0.268854i | 0.981763 | + | 0.190109i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.85543 | + | 0.746566i | 0.927717 | + | 0.373283i | ||||
\(5\) | 3.21396 | + | 1.16979i | 1.43733 | + | 0.523144i | 0.939022 | − | 0.343857i | \(-0.111734\pi\) |
0.498306 | + | 0.867001i | \(0.333956\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.199218 | + | 0.0351275i | 0.0752973 | + | 0.0132770i | 0.211170 | − | 0.977449i | \(-0.432273\pi\) |
−0.135873 | + | 0.990726i | \(0.543384\pi\) | |||||||
\(8\) | 2.37541 | + | 1.53539i | 0.839834 | + | 0.542843i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.14784 | + | 2.48825i | 1.31166 | + | 0.786852i | ||||
\(11\) | −1.37658 | − | 3.78212i | −0.415054 | − | 1.14035i | −0.954469 | − | 0.298311i | \(-0.903577\pi\) |
0.539414 | − | 0.842040i | \(-0.318646\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.09713 | − | 1.30751i | −0.304290 | − | 0.362639i | 0.592131 | − | 0.805842i | \(-0.298287\pi\) |
−0.896422 | + | 0.443202i | \(0.853842\pi\) | |||||||
\(14\) | 0.267155 | + | 0.102332i | 0.0714001 | + | 0.0273495i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.88528 | + | 2.77041i | 0.721319 | + | 0.692603i | ||||
\(17\) | −1.57350 | + | 0.908459i | −0.381629 | + | 0.220334i | −0.678527 | − | 0.734576i | \(-0.737381\pi\) |
0.296898 | + | 0.954909i | \(0.404048\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.24004 | + | 5.61192i | −0.743317 | + | 1.28746i | 0.207661 | + | 0.978201i | \(0.433415\pi\) |
−0.950977 | + | 0.309261i | \(0.899918\pi\) | |||||||
\(20\) | 5.08997 | + | 4.56990i | 1.13815 | + | 1.02186i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.894435 | − | 5.62128i | −0.190694 | − | 1.19846i | ||||
\(23\) | −1.37566 | − | 7.80173i | −0.286844 | − | 1.62677i | −0.698623 | − | 0.715490i | \(-0.746204\pi\) |
0.411779 | − | 0.911284i | \(-0.364908\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 5.13093 | + | 4.30536i | 1.02619 | + | 0.861072i | ||||
\(26\) | −1.17176 | − | 2.11035i | −0.229800 | − | 0.413874i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.343411 | + | 0.213906i | 0.0648986 | + | 0.0404245i | ||||
\(29\) | −3.08543 | − | 2.58898i | −0.572949 | − | 0.480761i | 0.309674 | − | 0.950843i | \(-0.399780\pi\) |
−0.882623 | + | 0.470081i | \(0.844225\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −7.51214 | + | 1.32459i | −1.34922 | + | 0.237904i | −0.801117 | − | 0.598507i | \(-0.795761\pi\) |
−0.548103 | + | 0.836411i | \(0.684650\pi\) | |||||||
\(32\) | 3.26115 | + | 4.62222i | 0.576495 | + | 0.817101i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −2.42892 | + | 0.838284i | −0.416557 | + | 0.143764i | ||||
\(35\) | 0.599188 | + | 0.345941i | 0.101281 | + | 0.0584747i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.53384 | + | 0.885560i | −0.252161 | + | 0.145585i | −0.620753 | − | 0.784006i | \(-0.713173\pi\) |
0.368592 | + | 0.929591i | \(0.379840\pi\) | |||||||
\(38\) | −6.00733 | + | 6.92061i | −0.974518 | + | 1.12267i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 5.83840 | + | 7.71341i | 0.923132 | + | 1.21960i | ||||
\(41\) | 6.61260 | + | 7.88059i | 1.03271 | + | 1.23074i | 0.972584 | + | 0.232551i | \(0.0747072\pi\) |
0.0601305 | + | 0.998191i | \(0.480848\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.47909 | − | 1.26628i | 0.530556 | − | 0.193107i | −0.0628305 | − | 0.998024i | \(-0.520013\pi\) |
0.593387 | + | 0.804918i | \(0.297791\pi\) | |||||||
\(44\) | 0.269450 | − | 8.04518i | 0.0406211 | − | 1.21286i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.187536 | − | 11.2020i | 0.0276507 | − | 1.65164i | ||||
\(47\) | 0.523875 | − | 2.97105i | 0.0764151 | − | 0.433371i | −0.922466 | − | 0.386078i | \(-0.873829\pi\) |
0.998881 | − | 0.0472931i | \(-0.0150595\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −6.53939 | − | 2.38014i | −0.934199 | − | 0.340021i | ||||
\(50\) | 5.96638 | + | 7.35713i | 0.843774 | + | 1.04046i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.05952 | − | 3.24509i | −0.146928 | − | 0.450013i | ||||
\(53\) | 9.46508 | 1.30013 | 0.650064 | − | 0.759879i | \(-0.274742\pi\) | ||||
0.650064 | + | 0.759879i | \(0.274742\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 13.7659i | − | 1.85619i | ||||||
\(56\) | 0.419290 | + | 0.389320i | 0.0560300 | + | 0.0520250i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.58782 | − | 4.42413i | −0.471103 | − | 0.580916i | ||||
\(59\) | −1.23077 | + | 3.38152i | −0.160233 | + | 0.440237i | −0.993665 | − | 0.112386i | \(-0.964151\pi\) |
0.833432 | + | 0.552623i | \(0.186373\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.13039 | + | 1.43361i | 1.04099 | + | 0.183555i | 0.667908 | − | 0.744244i | \(-0.267190\pi\) |
0.373082 | + | 0.927798i | \(0.378301\pi\) | |||||||
\(62\) | −10.7861 | − | 0.180575i | −1.36984 | − | 0.0229330i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.28515 | + | 7.29437i | 0.410644 | + | 0.911796i | ||||
\(65\) | −1.99664 | − | 5.48571i | −0.247652 | − | 0.680419i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.26475 | + | 1.06125i | −0.154514 | + | 0.129653i | −0.716767 | − | 0.697312i | \(-0.754379\pi\) |
0.562253 | + | 0.826965i | \(0.309935\pi\) | |||||||
\(68\) | −3.59775 | + | 0.510867i | −0.436291 | + | 0.0619517i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.738918 | + | 0.641406i | 0.0883176 | + | 0.0766627i | ||||
\(71\) | −2.24594 | − | 3.89008i | −0.266544 | − | 0.461668i | 0.701423 | − | 0.712745i | \(-0.252548\pi\) |
−0.967967 | + | 0.251078i | \(0.919215\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.05026 | + | 7.01525i | −0.474047 | + | 0.821073i | −0.999558 | − | 0.0297132i | \(-0.990541\pi\) |
0.525512 | + | 0.850786i | \(0.323874\pi\) | |||||||
\(74\) | −2.36770 | + | 0.817154i | −0.275239 | + | 0.0949922i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −10.2014 | + | 7.99364i | −1.17018 | + | 0.916934i | ||||
\(77\) | −0.141383 | − | 0.801822i | −0.0161121 | − | 0.0913761i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.380899 | − | 0.453938i | 0.0428545 | − | 0.0510720i | −0.744191 | − | 0.667966i | \(-0.767165\pi\) |
0.787046 | + | 0.616894i | \(0.211609\pi\) | |||||||
\(80\) | 6.03238 | + | 12.2792i | 0.674441 | + | 1.37285i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.06236 | + | 12.7194i | 0.779907 | + | 1.40462i | ||||
\(83\) | 8.02454 | − | 9.56328i | 0.880808 | − | 1.04971i | −0.117586 | − | 0.993063i | \(-0.537516\pi\) |
0.998394 | − | 0.0566436i | \(-0.0180399\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −6.11986 | + | 1.07910i | −0.663792 | + | 0.117044i | ||||
\(86\) | 5.17089 | − | 0.822771i | 0.557592 | − | 0.0887217i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.53709 | − | 11.0977i | 0.270455 | − | 1.18302i | ||||
\(89\) | −10.7122 | − | 6.18471i | −1.13549 | − | 0.655578i | −0.190183 | − | 0.981749i | \(-0.560908\pi\) |
−0.945311 | + | 0.326171i | \(0.894241\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.172639 | − | 0.299020i | −0.0180975 | − | 0.0313458i | ||||
\(92\) | 3.27207 | − | 15.5026i | 0.341137 | − | 1.61626i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.52614 | − | 3.98422i | 0.157409 | − | 0.410941i | ||||
\(95\) | −16.9781 | + | 14.2463i | −1.74192 | + | 1.46164i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.24324 | + | 3.00029i | −0.836974 | + | 0.304634i | −0.724718 | − | 0.689046i | \(-0.758030\pi\) |
−0.112256 | + | 0.993679i | \(0.535808\pi\) | |||||||
\(98\) | −8.43953 | − | 5.06279i | −0.852521 | − | 0.511419i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.30587 | + | 11.8189i | 0.630587 | + | 1.18189i | ||||
\(101\) | 1.79803 | − | 10.1971i | 0.178910 | − | 1.01465i | −0.754623 | − | 0.656159i | \(-0.772180\pi\) |
0.933533 | − | 0.358491i | \(-0.116709\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.22000 | + | 6.09941i | −0.218744 | + | 0.600993i | −0.999722 | − | 0.0235646i | \(-0.992498\pi\) |
0.780979 | + | 0.624558i | \(0.214721\pi\) | |||||||
\(104\) | −0.598600 | − | 4.79041i | −0.0586975 | − | 0.469739i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.1415 | + | 2.54473i | 1.27642 | + | 0.247166i | ||||
\(107\) | 2.26037i | 0.218518i | 0.994013 | + | 0.109259i | \(0.0348478\pi\) | ||||
−0.994013 | + | 0.109259i | \(0.965152\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 3.00655i | − | 0.287975i | −0.989580 | − | 0.143987i | \(-0.954008\pi\) | ||
0.989580 | − | 0.143987i | \(-0.0459925\pi\) | |||||||
\(110\) | 3.70102 | − | 19.1129i | 0.352878 | − | 1.82234i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.477482 | + | 0.653268i | 0.0451178 | + | 0.0617281i | ||||
\(113\) | −1.92611 | + | 5.29194i | −0.181193 | + | 0.497824i | −0.996723 | − | 0.0808910i | \(-0.974223\pi\) |
0.815530 | + | 0.578715i | \(0.196446\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.70506 | − | 26.6837i | 0.438749 | − | 2.48827i | ||||
\(116\) | −3.79196 | − | 7.10716i | −0.352075 | − | 0.659883i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.61797 | + | 4.36408i | −0.241004 | + | 0.401746i | ||||
\(119\) | −0.345381 | + | 0.125708i | −0.0316610 | + | 0.0115237i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.98297 | + | 3.34211i | −0.362088 | + | 0.303828i | ||||
\(122\) | 10.9030 | + | 4.17634i | 0.987110 | + | 0.378108i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −14.9272 | − | 3.15061i | −1.34050 | − | 0.282933i | ||||
\(125\) | 2.90369 | + | 5.02934i | 0.259714 | + | 0.449838i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −9.60934 | − | 5.54795i | −0.852691 | − | 0.492301i | 0.00886716 | − | 0.999961i | \(-0.497177\pi\) |
−0.861558 | + | 0.507660i | \(0.830511\pi\) | |||||||
\(128\) | 2.60006 | + | 11.0109i | 0.229815 | + | 0.973234i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.29732 | − | 8.15329i | −0.113782 | − | 0.715091i | ||||
\(131\) | −7.26270 | + | 1.28061i | −0.634545 | + | 0.111887i | −0.481662 | − | 0.876357i | \(-0.659967\pi\) |
−0.152883 | + | 0.988244i | \(0.548856\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.842608 | + | 1.00418i | −0.0730633 | + | 0.0870735i | ||||
\(134\) | −2.04134 | + | 1.13344i | −0.176345 | + | 0.0979139i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.13254 | − | 0.257970i | −0.440112 | − | 0.0221207i | ||||
\(137\) | −7.46073 | + | 8.89135i | −0.637413 | + | 0.759640i | −0.983959 | − | 0.178393i | \(-0.942910\pi\) |
0.346546 | + | 0.938033i | \(0.387354\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.37040 | + | 7.77191i | 0.116236 | + | 0.659205i | 0.986131 | + | 0.165969i | \(0.0530751\pi\) |
−0.869895 | + | 0.493236i | \(0.835814\pi\) | |||||||
\(140\) | 0.853486 | + | 1.08920i | 0.0721327 | + | 0.0920546i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −2.07245 | − | 6.00490i | −0.173916 | − | 0.503920i | ||||
\(143\) | −3.43488 | + | 5.94939i | −0.287239 | + | 0.497513i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −6.88789 | − | 11.9302i | −0.572008 | − | 0.990747i | ||||
\(146\) | −7.50955 | + | 8.65121i | −0.621495 | + | 0.715979i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.50706 | + | 0.497990i | −0.288279 | + | 0.0409345i | ||||
\(149\) | 5.38903 | − | 4.52193i | 0.441486 | − | 0.370451i | −0.394779 | − | 0.918776i | \(-0.629179\pi\) |
0.836265 | + | 0.548325i | \(0.184734\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.14375 | − | 5.88990i | −0.174456 | − | 0.479313i | 0.821390 | − | 0.570367i | \(-0.193199\pi\) |
−0.995846 | + | 0.0910533i | \(0.970977\pi\) | |||||||
\(152\) | −16.3129 | + | 8.35588i | −1.32315 | + | 0.677751i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.0192740 | − | 1.15128i | 0.00155314 | − | 0.0927727i | ||||
\(155\) | −25.6932 | − | 4.53041i | −2.06373 | − | 0.363891i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.70377 | − | 4.68108i | 0.135976 | − | 0.373591i | −0.852952 | − | 0.521990i | \(-0.825190\pi\) |
0.988928 | + | 0.148399i | \(0.0474120\pi\) | |||||||
\(158\) | 0.650892 | − | 0.527851i | 0.0517822 | − | 0.0419936i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.07420 | + | 18.6705i | 0.401151 | + | 1.47603i | ||||
\(161\) | − | 1.60257i | − | 0.126300i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.53033 | 0.511495 | 0.255747 | − | 0.966744i | \(-0.417679\pi\) | ||||
0.255747 | + | 0.966744i | \(0.417679\pi\) | |||||||
\(164\) | 6.38587 | + | 19.5587i | 0.498652 | + | 1.52728i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 13.7126 | − | 11.1204i | 1.06430 | − | 0.863114i | ||||
\(167\) | −11.5164 | − | 4.19163i | −0.891167 | − | 0.324358i | −0.144460 | − | 0.989511i | \(-0.546144\pi\) |
−0.746708 | + | 0.665152i | \(0.768367\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.75154 | − | 9.93346i | 0.134734 | − | 0.764113i | ||||
\(170\) | −8.78707 | − | 0.147108i | −0.673938 | − | 0.0112826i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.40059 | + | 0.247861i | 0.564290 | + | 0.0188992i | ||||
\(173\) | 22.9308 | − | 8.34612i | 1.74339 | − | 0.634543i | 0.743961 | − | 0.668223i | \(-0.232945\pi\) |
0.999433 | + | 0.0336797i | \(0.0107226\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.870937 | + | 1.03794i | 0.0658367 | + | 0.0784611i | ||||
\(176\) | 6.50621 | − | 14.7262i | 0.490424 | − | 1.11003i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −13.2103 | − | 11.4670i | −0.990155 | − | 0.859489i | ||||
\(179\) | 12.4964 | − | 7.21481i | 0.934026 | − | 0.539260i | 0.0459437 | − | 0.998944i | \(-0.485371\pi\) |
0.888083 | + | 0.459684i | \(0.152037\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.7079 | + | 10.2237i | 1.31622 | + | 0.759919i | 0.983118 | − | 0.182973i | \(-0.0585721\pi\) |
0.333100 | + | 0.942892i | \(0.391905\pi\) | |||||||
\(182\) | −0.159303 | − | 0.461581i | −0.0118084 | − | 0.0342146i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 8.71096 | − | 20.6445i | 0.642181 | − | 1.52193i | ||||
\(185\) | −5.96560 | + | 1.05190i | −0.438600 | + | 0.0773370i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 5.60194 | + | 4.70059i | 0.409655 | + | 0.343741i | ||||
\(188\) | 3.19010 | − | 5.12147i | 0.232662 | − | 0.373522i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −27.4030 | + | 15.2153i | −1.98802 | + | 1.10383i | ||||
\(191\) | 15.9522 | + | 13.3855i | 1.15426 | + | 0.968538i | 0.999811 | − | 0.0194633i | \(-0.00619574\pi\) |
0.154448 | + | 0.988001i | \(0.450640\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 0.989078 | + | 5.60934i | 0.0711954 | + | 0.403769i | 0.999490 | + | 0.0319244i | \(0.0101636\pi\) |
−0.928295 | + | 0.371845i | \(0.878725\pi\) | |||||||
\(194\) | −12.2517 | + | 1.94945i | −0.879623 | + | 0.139962i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −10.3565 | − | 9.29830i | −0.739749 | − | 0.664164i | ||||
\(197\) | −13.4024 | + | 23.2137i | −0.954885 | + | 1.65391i | −0.220254 | + | 0.975443i | \(0.570688\pi\) |
−0.734631 | + | 0.678467i | \(0.762645\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 22.2890 | − | 12.8685i | 1.58002 | − | 0.912226i | 0.585168 | − | 0.810912i | \(-0.301029\pi\) |
0.994854 | − | 0.101314i | \(-0.0323048\pi\) | |||||||
\(200\) | 5.57765 | + | 18.1050i | 0.394400 | + | 1.28022i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.23795 | − | 13.6745i | 0.368541 | − | 0.962134i | ||||
\(203\) | −0.523728 | − | 0.624155i | −0.0367585 | − | 0.0438071i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 12.0340 | + | 33.0633i | 0.840494 | + | 2.30924i | ||||
\(206\) | −4.72216 | + | 7.87171i | −0.329008 | + | 0.548448i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0.456812 | − | 6.81205i | 0.0316742 | − | 0.472331i | ||||
\(209\) | 25.6851 | + | 4.52898i | 1.77668 | + | 0.313276i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.22400 | − | 0.809471i | −0.153107 | − | 0.0557263i | 0.264330 | − | 0.964432i | \(-0.414849\pi\) |
−0.417437 | + | 0.908706i | \(0.637071\pi\) | |||||||
\(212\) | 17.5618 | + | 7.06631i | 1.20615 | + | 0.485316i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.607709 | + | 3.13835i | −0.0415421 | + | 0.214533i | ||||
\(215\) | 12.6629 | 0.863606 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.54308 | −0.104751 | ||||||||
\(218\) | 0.808322 | − | 4.17436i | 0.0547465 | − | 0.282723i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.2771 | − | 25.5417i | 0.692885 | − | 1.72202i | ||||
\(221\) | 2.91416 | + | 1.06067i | 0.196028 | + | 0.0713482i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −19.7258 | − | 3.47820i | −1.32094 | − | 0.232917i | −0.531664 | − | 0.846955i | \(-0.678433\pi\) |
−0.789277 | + | 0.614038i | \(0.789544\pi\) | |||||||
\(224\) | 0.487313 | + | 1.03539i | 0.0325599 | + | 0.0691796i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.09701 | + | 6.82961i | −0.272529 | + | 0.454299i | ||||
\(227\) | 8.81116 | + | 24.2085i | 0.584817 | + | 1.60677i | 0.779843 | + | 0.625975i | \(0.215299\pi\) |
−0.195026 | + | 0.980798i | \(0.562479\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1.43440 | − | 1.70946i | −0.0947880 | − | 0.112964i | 0.716565 | − | 0.697520i | \(-0.245713\pi\) |
−0.811353 | + | 0.584556i | \(0.801269\pi\) | |||||||
\(230\) | 13.7066 | − | 35.7833i | 0.903788 | − | 2.35948i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.35406 | − | 10.8872i | −0.220205 | − | 0.714781i | ||||
\(233\) | 7.43882 | − | 4.29480i | 0.487333 | − | 0.281362i | −0.236134 | − | 0.971720i | \(-0.575881\pi\) |
0.723467 | + | 0.690358i | \(0.242547\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.15920 | − | 8.93600i | 0.336549 | − | 0.582921i | ||||
\(236\) | −4.80815 | + | 5.35534i | −0.312984 | + | 0.348603i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.513332 | + | 0.0816793i | −0.0332744 | + | 0.00529448i | ||||
\(239\) | −0.254336 | − | 1.44241i | −0.0164516 | − | 0.0933018i | 0.975476 | − | 0.220104i | \(-0.0706397\pi\) |
−0.991928 | + | 0.126802i | \(0.959529\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.54665 | + | 1.29779i | 0.0996285 | + | 0.0835982i | 0.691241 | − | 0.722624i | \(-0.257064\pi\) |
−0.591613 | + | 0.806222i | \(0.701509\pi\) | |||||||
\(242\) | −6.42858 | + | 3.56942i | −0.413245 | + | 0.229451i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 14.0151 | + | 8.72984i | 0.897227 | + | 0.558871i | ||||
\(245\) | −18.2331 | − | 15.2994i | −1.16487 | − | 0.977442i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.8924 | − | 1.92063i | 0.693068 | − | 0.122207i | ||||
\(248\) | −19.8782 | − | 8.38762i | −1.26227 | − | 0.532614i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.67939 | + | 7.76352i | 0.169460 | + | 0.491008i | ||||
\(251\) | 0.0195920 | + | 0.0113115i | 0.00123664 | + | 0.000713973i | 0.500618 | − | 0.865668i | \(-0.333106\pi\) |
−0.499382 | + | 0.866382i | \(0.666439\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −27.6134 | + | 15.9426i | −1.73604 | + | 1.00230i | ||||
\(254\) | −11.8502 | − | 10.2864i | −0.743550 | − | 0.645427i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.649655 | + | 15.9868i | 0.0406034 | + | 0.999175i | ||||
\(257\) | 10.5865 | + | 12.6165i | 0.660369 | + | 0.786997i | 0.987439 | − | 0.158003i | \(-0.0505056\pi\) |
−0.327070 | + | 0.945000i | \(0.606061\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.336675 | + | 0.122540i | −0.0209200 | + | 0.00761425i | ||||
\(260\) | 0.390819 | − | 11.6690i | 0.0242376 | − | 0.723681i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −10.4280 | − | 0.174579i | −0.644243 | − | 0.0107855i | ||||
\(263\) | 1.02766 | − | 5.82816i | 0.0633684 | − | 0.359380i | −0.936592 | − | 0.350423i | \(-0.886038\pi\) |
0.999960 | − | 0.00895677i | \(-0.00285107\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 30.4204 | + | 11.0721i | 1.86871 | + | 0.680155i | ||||
\(266\) | −1.43987 | + | 1.16769i | −0.0882843 | + | 0.0715956i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.13897 | + | 1.02487i | −0.191743 | + | 0.0626037i | ||||
\(269\) | −4.98736 | −0.304085 | −0.152042 | − | 0.988374i | \(-0.548585\pi\) | ||||
−0.152042 | + | 0.988374i | \(0.548585\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.03519i | 0.427358i | 0.976904 | + | 0.213679i | \(0.0685446\pi\) | ||||
−0.976904 | + | 0.213679i | \(0.931455\pi\) | |||||||
\(272\) | −7.05678 | − | 1.73808i | −0.427880 | − | 0.105386i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −12.7491 | + | 10.3391i | −0.770203 | + | 0.624608i | ||||
\(275\) | 9.22026 | − | 25.3325i | 0.556003 | − | 1.52760i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.4822 | + | 3.96421i | 1.35082 | + | 0.238187i | 0.801786 | − | 0.597611i | \(-0.203883\pi\) |
0.549037 | + | 0.835798i | \(0.314994\pi\) | |||||||
\(278\) | −0.186819 | + | 11.1591i | −0.0112047 | + | 0.669281i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.892162 | + | 1.74174i | 0.0533169 | + | 0.104089i | ||||
\(281\) | −8.38379 | − | 23.0343i | −0.500135 | − | 1.37411i | −0.891143 | − | 0.453722i | \(-0.850096\pi\) |
0.391008 | − | 0.920387i | \(-0.372126\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −8.31451 | + | 6.97670i | −0.494246 | + | 0.414722i | −0.855545 | − | 0.517728i | \(-0.826778\pi\) |
0.361299 | + | 0.932450i | \(0.382333\pi\) | |||||||
\(284\) | −1.26299 | − | 8.89453i | −0.0749447 | − | 0.527793i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −6.36858 | + | 7.33678i | −0.376582 | + | 0.433833i | ||||
\(287\) | 1.04052 | + | 1.80224i | 0.0614202 | + | 0.106383i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.84941 | + | 11.8635i | −0.402906 | + | 0.697854i | ||||
\(290\) | −6.35582 | − | 18.4160i | −0.373227 | − | 1.08142i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −12.7523 | + | 9.99256i | −0.746274 | + | 0.584770i | ||||
\(293\) | −2.84714 | − | 16.1469i | −0.166332 | − | 0.943313i | −0.947681 | − | 0.319219i | \(-0.896579\pi\) |
0.781349 | − | 0.624094i | \(-0.214532\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.91132 | + | 9.42834i | −0.460615 | + | 0.548939i | ||||
\(296\) | −5.00317 | − | 0.251467i | −0.290803 | − | 0.0146162i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 8.69799 | − | 4.82949i | 0.503861 | − | 0.279765i | ||||
\(299\) | −8.69159 | + | 10.3582i | −0.502648 | + | 0.599032i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.737579 | − | 0.130055i | 0.0425133 | − | 0.00749625i | ||||
\(302\) | −1.39291 | − | 8.75403i | −0.0801527 | − | 0.503738i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −24.8957 | + | 7.21569i | −1.42787 | + | 0.413848i | ||||
\(305\) | 24.4538 | + | 14.1184i | 1.40022 | + | 0.808416i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.29100 | + | 12.6284i | 0.416119 | + | 0.720740i | 0.995545 | − | 0.0942851i | \(-0.0300565\pi\) |
−0.579426 | + | 0.815025i | \(0.696723\pi\) | |||||||
\(308\) | 0.336287 | − | 1.59328i | 0.0191617 | − | 0.0907856i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −34.4550 | − | 13.1978i | −1.95691 | − | 0.749587i | ||||
\(311\) | −18.0464 | + | 15.1428i | −1.02332 | + | 0.858667i | −0.990041 | − | 0.140779i | \(-0.955039\pi\) |
−0.0332788 | + | 0.999446i | \(0.510595\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.27277 | − | 1.55516i | 0.241511 | − | 0.0879028i | −0.218429 | − | 0.975853i | \(-0.570093\pi\) |
0.459940 | + | 0.887950i | \(0.347871\pi\) | |||||||
\(314\) | 3.62409 | − | 6.04125i | 0.204519 | − | 0.340928i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 1.04563 | − | 0.557886i | 0.0588212 | − | 0.0313835i | ||||
\(317\) | −1.85951 | + | 10.5458i | −0.104440 | + | 0.592310i | 0.887002 | + | 0.461765i | \(0.152784\pi\) |
−0.991442 | + | 0.130545i | \(0.958327\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.54450 | + | 15.2334i | −0.310432 | + | 0.852906i | ||||
\(320\) | 2.02550 | + | 27.2867i | 0.113229 | + | 1.52538i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.430857 | − | 2.22504i | 0.0240107 | − | 0.123997i | ||||
\(323\) | − | 11.7738i | − | 0.655111i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | − | 11.4323i | − | 0.634151i | ||||||
\(326\) | 9.06685 | + | 1.75570i | 0.502166 | + | 0.0972395i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 3.60786 | + | 28.8726i | 0.199210 | + | 1.59422i | ||||
\(329\) | 0.208731 | − | 0.573483i | 0.0115077 | − | 0.0316172i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.53127 | + | 14.3556i | −0.139131 | + | 0.789053i | 0.832762 | + | 0.553631i | \(0.186758\pi\) |
−0.971893 | + | 0.235422i | \(0.924353\pi\) | |||||||
\(332\) | 22.0286 | − | 11.7532i | 1.20898 | − | 0.645040i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −14.8627 | − | 8.91600i | −0.813252 | − | 0.487862i | ||||
\(335\) | −5.30631 | + | 1.93134i | −0.289915 | + | 0.105520i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.2969 | − | 16.1920i | 1.05117 | − | 0.882035i | 0.0579523 | − | 0.998319i | \(-0.481543\pi\) |
0.993216 | + | 0.116285i | \(0.0370984\pi\) | |||||||
\(338\) | 5.10253 | − | 13.3209i | 0.277541 | − | 0.724564i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −12.1606 | − | 2.56669i | −0.659502 | − | 0.139198i | ||||
\(341\) | 15.3508 | + | 26.5884i | 0.831293 | + | 1.43984i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −2.44548 | − | 1.41190i | −0.132044 | − | 0.0762354i | ||||
\(344\) | 10.2085 | + | 2.33381i | 0.550406 | + | 0.125831i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 34.0815 | − | 5.42291i | 1.83223 | − | 0.291537i | ||||
\(347\) | 8.71967 | − | 1.53751i | 0.468097 | − | 0.0825380i | 0.0653753 | − | 0.997861i | \(-0.479176\pi\) |
0.402721 | + | 0.915323i | \(0.368064\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 19.6221 | − | 23.3847i | 1.05035 | − | 1.25175i | 0.0834696 | − | 0.996510i | \(-0.473400\pi\) |
0.966877 | − | 0.255244i | \(-0.0821557\pi\) | |||||||
\(350\) | 0.930174 | + | 1.67526i | 0.0497199 | + | 0.0895463i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 12.9926 | − | 18.6969i | 0.692506 | − | 0.996548i | ||||
\(353\) | 8.90806 | − | 10.6162i | 0.474128 | − | 0.565044i | −0.474979 | − | 0.879997i | \(-0.657544\pi\) |
0.949107 | + | 0.314953i | \(0.101989\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.66780 | − | 15.1298i | −0.141592 | − | 0.803008i | ||||
\(356\) | −15.2585 | − | 19.4727i | −0.808701 | − | 1.03205i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 19.2900 | − | 6.65750i | 1.01951 | − | 0.351860i | ||||
\(359\) | 9.49643 | − | 16.4483i | 0.501202 | − | 0.868108i | −0.498797 | − | 0.866719i | \(-0.666225\pi\) |
0.999999 | − | 0.00138897i | \(-0.000442121\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.4957 | − | 19.9112i | −0.605039 | − | 1.04796i | ||||
\(362\) | 21.8374 | + | 18.9556i | 1.14775 | + | 0.996284i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.0970827 | − | 0.683699i | −0.00508852 | − | 0.0358355i | ||||
\(365\) | −21.2237 | + | 17.8088i | −1.11090 | + | 0.932156i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 6.89218 | + | 18.9361i | 0.359769 | + | 0.988456i | 0.979109 | + | 0.203334i | \(0.0651777\pi\) |
−0.619341 | + | 0.785122i | \(0.712600\pi\) | |||||||
\(368\) | 17.6449 | − | 26.3213i | 0.919801 | − | 1.37209i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −8.56559 | − | 0.143400i | −0.445304 | − | 0.00745499i | ||||
\(371\) | 1.88561 | + | 0.332485i | 0.0978962 | + | 0.0172617i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −4.70270 | + | 12.9206i | −0.243496 | + | 0.669001i | 0.756393 | + | 0.654118i | \(0.226960\pi\) |
−0.999889 | + | 0.0148833i | \(0.995262\pi\) | |||||||
\(374\) | 6.51409 | + | 8.03251i | 0.336836 | + | 0.415351i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.80613 | − | 6.25310i | 0.299429 | − | 0.322479i | ||||
\(377\) | 6.87469i | 0.354065i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −23.0899 | −1.18605 | −0.593026 | − | 0.805184i | \(-0.702067\pi\) | ||||
−0.593026 | + | 0.805184i | \(0.702067\pi\) | |||||||
\(380\) | −42.1376 | + | 13.7579i | −2.16161 | + | 0.705763i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 18.5496 | + | 22.8735i | 0.949081 | + | 1.17031i | ||||
\(383\) | −1.72830 | − | 0.629049i | −0.0883119 | − | 0.0321429i | 0.297486 | − | 0.954726i | \(-0.403852\pi\) |
−0.385798 | + | 0.922583i | \(0.626074\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.483562 | − | 2.74241i | 0.0246446 | − | 0.139766i | ||||
\(386\) | −0.134836 | + | 8.05406i | −0.00686296 | + | 0.409941i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −17.5347 | − | 0.587274i | −0.890190 | − | 0.0298143i | ||||
\(389\) | −27.9217 | + | 10.1627i | −1.41569 | + | 0.515268i | −0.932794 | − | 0.360411i | \(-0.882636\pi\) |
−0.482894 | + | 0.875679i | \(0.660414\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 9.25214 | + | 11.0263i | 0.467901 | + | 0.557623i | ||||
\(392\) | −11.8793 | − | 15.6943i | −0.599995 | − | 0.792684i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −24.8494 | + | 28.6272i | −1.25189 | + | 1.44222i | ||||
\(395\) | 1.75521 | − | 1.01337i | 0.0883140 | − | 0.0509881i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −13.2935 | − | 7.67501i | −0.667182 | − | 0.385198i | 0.127826 | − | 0.991797i | \(-0.459200\pi\) |
−0.795008 | + | 0.606599i | \(0.792533\pi\) | |||||||
\(398\) | 34.4063 | − | 11.8745i | 1.72463 | − | 0.595214i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.87654 | + | 26.6369i | 0.143827 | + | 1.33185i | ||||
\(401\) | −16.6682 | + | 2.93905i | −0.832368 | + | 0.146769i | −0.573564 | − | 0.819161i | \(-0.694440\pi\) |
−0.258804 | + | 0.965930i | \(0.583328\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 9.97375 | + | 8.36897i | 0.496828 | + | 0.416888i | ||||
\(404\) | 10.9489 | − | 17.5777i | 0.544730 | − | 0.874525i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.559349 | − | 1.00740i | −0.0277600 | − | 0.0499963i | ||||
\(407\) | 5.46074 | + | 4.58210i | 0.270679 | + | 0.227126i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.249722 | + | 1.41624i | 0.0123480 | + | 0.0700287i | 0.990359 | − | 0.138524i | \(-0.0442358\pi\) |
−0.978011 | + | 0.208553i | \(0.933125\pi\) | |||||||
\(410\) | 7.81914 | + | 49.1412i | 0.386160 | + | 2.42691i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −8.67269 | + | 9.65968i | −0.427273 | + | 0.475898i | ||||
\(413\) | −0.363977 | + | 0.630426i | −0.0179101 | + | 0.0310212i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 36.9776 | − | 21.3490i | 1.81516 | − | 1.04798i | ||||
\(416\) | 2.46570 | − | 9.33519i | 0.120891 | − | 0.457695i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 34.4442 | + | 13.1937i | 1.68472 | + | 0.645324i | ||||
\(419\) | 17.2769 | + | 20.5898i | 0.844029 | + | 1.00588i | 0.999836 | + | 0.0180876i | \(0.00575778\pi\) |
−0.155807 | + | 0.987788i | \(0.549798\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.1300 | − | 36.0744i | −0.639917 | − | 1.75816i | −0.651986 | − | 0.758231i | \(-0.726064\pi\) |
0.0120688 | − | 0.999927i | \(-0.496158\pi\) | |||||||
\(422\) | −2.87023 | − | 1.72182i | −0.139720 | − | 0.0838169i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 22.4835 | + | 14.5326i | 1.09189 | + | 0.705765i | ||||
\(425\) | −11.9847 | − | 2.11323i | −0.581345 | − | 0.102507i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.56936 | + | 0.571201i | 0.0759467 | + | 0.0276424i | ||||
\(428\) | −1.68751 | + | 4.19396i | −0.0815691 | + | 0.202723i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 17.5815 | + | 3.40448i | 0.847856 | + | 0.164179i | ||||
\(431\) | 7.70543 | 0.371157 | 0.185579 | − | 0.982629i | \(-0.440584\pi\) | ||||
0.185579 | + | 0.982629i | \(0.440584\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −18.8564 | −0.906183 | −0.453091 | − | 0.891464i | \(-0.649679\pi\) | ||||
−0.453091 | + | 0.891464i | \(0.649679\pi\) | |||||||
\(434\) | −2.14245 | − | 0.414864i | −0.102841 | − | 0.0199141i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.24459 | − | 5.57845i | 0.107496 | − | 0.267159i | ||||
\(437\) | 48.2399 | + | 17.5579i | 2.30763 | + | 0.839907i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.3164 | + | 2.87702i | 0.778738 | + | 0.137313i | 0.548868 | − | 0.835909i | \(-0.315059\pi\) |
0.229870 | + | 0.973221i | \(0.426170\pi\) | |||||||
\(440\) | 21.1360 | − | 32.6996i | 1.00762 | − | 1.55889i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3.76092 | + | 2.25614i | 0.178889 | + | 0.107314i | ||||
\(443\) | 2.23622 | + | 6.14396i | 0.106246 | + | 0.291908i | 0.981411 | − | 0.191915i | \(-0.0614699\pi\) |
−0.875166 | + | 0.483824i | \(0.839248\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −27.1939 | − | 32.4084i | −1.28911 | − | 1.53631i | ||||
\(446\) | −26.4527 | − | 10.1326i | −1.25257 | − | 0.479792i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0.398228 | + | 1.56857i | 0.0188145 | + | 0.0741079i | ||||
\(449\) | −9.04053 | + | 5.21955i | −0.426649 | + | 0.246326i | −0.697918 | − | 0.716178i | \(-0.745890\pi\) |
0.271269 | + | 0.962504i | \(0.412557\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.7026 | − | 35.8579i | 0.974846 | − | 1.68848i | ||||
\(452\) | −7.52456 | + | 8.38089i | −0.353925 | + | 0.394204i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 5.72507 | + | 35.9805i | 0.268691 | + | 1.68865i | ||||
\(455\) | −0.205066 | − | 1.16299i | −0.00961366 | − | 0.0545218i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 20.6728 | + | 17.3466i | 0.967034 | + | 0.811438i | 0.982083 | − | 0.188449i | \(-0.0603460\pi\) |
−0.0150490 | + | 0.999887i | \(0.504790\pi\) | |||||||
\(458\) | −1.53196 | − | 2.75909i | −0.0715840 | − | 0.128924i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 28.6511 | − | 45.9972i | 1.33586 | − | 2.14463i | ||||
\(461\) | 3.79701 | + | 3.18607i | 0.176844 | + | 0.148390i | 0.726913 | − | 0.686729i | \(-0.240954\pi\) |
−0.550069 | + | 0.835119i | \(0.685399\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −2.96473 | + | 0.522762i | −0.137783 | + | 0.0242948i | −0.242114 | − | 0.970248i | \(-0.577841\pi\) |
0.104331 | + | 0.994543i | \(0.466730\pi\) | |||||||
\(464\) | −1.72977 | − | 16.0178i | −0.0803028 | − | 0.743608i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 11.4829 | − | 3.96305i | 0.531935 | − | 0.183585i | ||||
\(467\) | 29.0602 | + | 16.7779i | 1.34475 | + | 0.776390i | 0.987500 | − | 0.157620i | \(-0.0503822\pi\) |
0.357247 | + | 0.934010i | \(0.383716\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.289241 | + | 0.166993i | −0.0133559 | + | 0.00771104i | ||||
\(470\) | 9.56564 | − | 11.0199i | 0.441230 | − | 0.508309i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.11555 | + | 6.14279i | −0.373548 | + | 0.282745i | ||||
\(473\) | −9.57848 | − | 11.4152i | −0.440419 | − | 0.524871i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −40.7858 | + | 14.8448i | −1.87138 | + | 0.681126i | ||||
\(476\) | −0.734681 | − | 0.0246060i | −0.0336741 | − | 0.00112782i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.0346723 | − | 2.07106i | 0.00158587 | − | 0.0947279i | ||||
\(479\) | −2.69060 | + | 15.2592i | −0.122937 | + | 0.697208i | 0.859575 | + | 0.511009i | \(0.170728\pi\) |
−0.982512 | + | 0.186199i | \(0.940383\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 2.84070 | + | 1.03393i | 0.129525 | + | 0.0471432i | ||||
\(482\) | 1.79849 | + | 2.21771i | 0.0819188 | + | 0.101014i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −9.88524 | + | 3.22751i | −0.449329 | + | 0.146705i | ||||
\(485\) | −30.0031 | −1.36237 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 42.9742i | 1.94735i | 0.227945 | + | 0.973674i | \(0.426799\pi\) | ||||
−0.227945 | + | 0.973674i | \(0.573201\pi\) | |||||||
\(488\) | 17.1119 | + | 15.8887i | 0.774618 | + | 0.719249i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −21.2020 | − | 26.1441i | −0.957807 | − | 1.18107i | ||||
\(491\) | 4.27635 | − | 11.7492i | 0.192989 | − | 0.530233i | −0.805024 | − | 0.593243i | \(-0.797848\pi\) |
0.998013 | + | 0.0630092i | \(0.0200697\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.20689 | + | 1.27077i | 0.324582 | + | 0.0572325i | ||||
\(494\) | 15.6397 | + | 0.261829i | 0.703661 | + | 0.0117802i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −25.3443 | − | 16.9899i | −1.13799 | − | 0.762869i | ||||
\(497\) | −0.310783 | − | 0.853868i | −0.0139405 | − | 0.0383012i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.451535 | − | 0.378883i | 0.0202135 | − | 0.0169611i | −0.632625 | − | 0.774458i | \(-0.718023\pi\) |
0.652838 | + | 0.757497i | \(0.273578\pi\) | |||||||
\(500\) | 1.63287 | + | 11.4994i | 0.0730244 | + | 0.514270i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0.0241609 | + | 0.0209725i | 0.00107835 | + | 0.000936047i | ||||
\(503\) | −5.40120 | − | 9.35516i | −0.240828 | − | 0.417126i | 0.720123 | − | 0.693847i | \(-0.244086\pi\) |
−0.960950 | + | 0.276721i | \(0.910752\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.7072 | − | 30.6698i | 0.787961 | − | 1.36479i | ||||
\(506\) | −42.6253 | + | 14.7111i | −1.89492 | + | 0.653988i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.6876 | − | 17.4679i | −0.607288 | − | 0.775011i | ||||
\(509\) | −4.10539 | − | 23.2828i | −0.181968 | − | 1.03199i | −0.929789 | − | 0.368093i | \(-0.880011\pi\) |
0.747821 | − | 0.663901i | \(-0.231100\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.05331 | + | 1.25529i | −0.0465958 | + | 0.0555307i | ||||
\(512\) | −3.39612 | + | 22.3711i | −0.150089 | + | 0.988673i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 11.3066 | + | 20.3633i | 0.498711 | + | 0.898187i | ||||
\(515\) | −14.2700 | + | 17.0064i | −0.628812 | + | 0.749389i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.9580 | + | 2.10852i | −0.525912 | + | 0.0927325i | ||||
\(518\) | −0.500393 | + | 0.0796204i | −0.0219860 | + | 0.00349832i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.67988 | − | 16.0964i | 0.161374 | − | 0.705875i | ||||
\(521\) | −29.7943 | − | 17.2017i | −1.30531 | − | 0.753622i | −0.324002 | − | 0.946056i | \(-0.605028\pi\) |
−0.981310 | + | 0.192434i | \(0.938362\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 15.1865 | + | 26.3038i | 0.664059 | + | 1.15018i | 0.979539 | + | 0.201252i | \(0.0645011\pi\) |
−0.315480 | + | 0.948932i | \(0.602166\pi\) | |||||||
\(524\) | −14.4315 | − | 3.04600i | −0.630444 | − | 0.133065i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.99375 | − | 7.81566i | 0.130534 | − | 0.340779i | ||||
\(527\) | 10.6170 | − | 8.90871i | 0.462483 | − | 0.388070i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −37.3617 | + | 13.5985i | −1.62442 | + | 0.591241i | ||||
\(530\) | 39.2596 | + | 23.5514i | 1.70533 | + | 1.02301i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.31309 | + | 1.23413i | −0.100285 | + | 0.0535063i | ||||
\(533\) | 3.04907 | − | 17.2921i | 0.132070 | − | 0.749005i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.64415 | + | 7.26473i | −0.114316 | + | 0.314082i | ||||
\(536\) | −4.63375 | + | 0.579024i | −0.200148 | + | 0.0250100i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −6.92456 | − | 1.34087i | −0.298539 | − | 0.0578091i | ||||
\(539\) | 28.0092i | 1.20644i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 4.15389i | − | 0.178590i | −0.996005 | − | 0.0892948i | \(-0.971539\pi\) | ||
0.996005 | − | 0.0892948i | \(-0.0284613\pi\) | |||||||
\(542\) | −1.89144 | + | 9.76782i | −0.0812443 | + | 0.419564i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.33050 | − | 4.31043i | −0.400042 | − | 0.184808i | ||||
\(545\) | 3.51702 | − | 9.66293i | 0.150652 | − | 0.413914i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.83365 | − | 16.0704i | 0.121158 | − | 0.687122i | −0.862358 | − | 0.506300i | \(-0.831013\pi\) |
0.983516 | − | 0.180823i | \(-0.0578760\pi\) | |||||||
\(548\) | −20.4809 | + | 10.9274i | −0.874900 | + | 0.466795i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 19.6124 | − | 32.6933i | 0.836274 | − | 1.39404i | ||||
\(551\) | 24.5260 | − | 8.92675i | 1.04484 | − | 0.380292i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0918277 | − | 0.0770526i | 0.00390491 | − | 0.00327661i | ||||
\(554\) | 30.1490 | + | 11.5484i | 1.28091 | + | 0.490646i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.25956 | + | 15.4434i | −0.138236 | + | 0.654945i | ||||
\(557\) | −14.8098 | − | 25.6513i | −0.627511 | − | 1.08688i | −0.988049 | − | 0.154137i | \(-0.950740\pi\) |
0.360538 | − | 0.932745i | \(-0.382593\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −5.47271 | − | 3.15967i | −0.231471 | − | 0.133640i | ||||
\(560\) | 0.770424 | + | 2.65813i | 0.0325563 | + | 0.112327i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −5.44738 | − | 34.2353i | −0.229784 | − | 1.44413i | ||||
\(563\) | −22.0013 | + | 3.87943i | −0.927246 | + | 0.163498i | −0.616824 | − | 0.787101i | \(-0.711581\pi\) |
−0.310421 | + | 0.950599i | \(0.600470\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.3809 | + | 14.7550i | −0.520868 | + | 0.620746i | ||||
\(566\) | −13.4198 | + | 7.45122i | −0.564075 | + | 0.313198i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.637766 | − | 12.6889i | 0.0267601 | − | 0.532416i | ||||
\(569\) | 1.10991 | − | 1.32274i | 0.0465299 | − | 0.0554522i | −0.742278 | − | 0.670093i | \(-0.766254\pi\) |
0.788807 | + | 0.614640i | \(0.210699\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.73361 | + | 15.5031i | 0.114398 | + | 0.648783i | 0.987047 | + | 0.160434i | \(0.0512894\pi\) |
−0.872649 | + | 0.488349i | \(0.837599\pi\) | |||||||
\(572\) | −10.8148 | + | 8.47434i | −0.452190 | + | 0.354330i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.960147 | + | 2.78202i | 0.0400758 | + | 0.116119i | ||||
\(575\) | 26.5309 | − | 45.9528i | 1.10641 | − | 1.91637i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.83883 | + | 17.0414i | 0.409596 | + | 0.709441i | 0.994844 | − | 0.101413i | \(-0.0323364\pi\) |
−0.585248 | + | 0.810854i | \(0.699003\pi\) | |||||||
\(578\) | −12.6994 | + | 14.6301i | −0.528226 | + | 0.608531i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −3.87336 | − | 27.2779i | −0.160833 | − | 1.13265i | ||||
\(581\) | 1.93457 | − | 1.62330i | 0.0802594 | − | 0.0673456i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −13.0294 | − | 35.7981i | −0.539624 | − | 1.48260i | ||||
\(584\) | −20.3922 | + | 10.4454i | −0.843834 | + | 0.432233i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.388135 | − | 23.1842i | 0.0160337 | − | 0.957731i | ||||
\(587\) | 1.96505 | + | 0.346492i | 0.0811063 | + | 0.0143012i | 0.214054 | − | 0.976822i | \(-0.431333\pi\) |
−0.132948 | + | 0.991123i | \(0.542444\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 16.9061 | − | 46.4492i | 0.696605 | − | 1.91391i | ||||
\(590\) | −13.5191 | + | 10.9635i | −0.556573 | + | 0.451362i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −6.87890 | − | 1.69427i | −0.282721 | − | 0.0696339i | ||||
\(593\) | − | 21.4365i | − | 0.880291i | −0.897927 | − | 0.440145i | \(-0.854927\pi\) | ||
0.897927 | − | 0.440145i | \(-0.145073\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.25709 | −0.0515358 | ||||||||
\(596\) | 13.3749 | − | 4.36688i | 0.547858 | − | 0.178875i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14.8525 | + | 12.0448i | −0.607362 | + | 0.492550i | ||||
\(599\) | 39.6839 | + | 14.4438i | 1.62144 | + | 0.590156i | 0.983656 | − | 0.180059i | \(-0.0576288\pi\) |
0.637785 | + | 0.770215i | \(0.279851\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.07096 | + | 17.4163i | −0.125267 | + | 0.710424i | 0.855882 | + | 0.517171i | \(0.173015\pi\) |
−0.981149 | + | 0.193253i | \(0.938096\pi\) | |||||||
\(602\) | 1.05904 | + | 0.0177297i | 0.0431631 | + | 0.000722609i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.419615 | − | 12.5288i | 0.0170739 | − | 0.509789i | ||||
\(605\) | −16.7107 | + | 6.08218i | −0.679385 | + | 0.247276i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 25.0286 | + | 29.8279i | 1.01588 | + | 1.21068i | 0.977395 | + | 0.211420i | \(0.0678087\pi\) |
0.0384848 | + | 0.999259i | \(0.487747\pi\) | |||||||
\(608\) | −36.5058 | + | 3.32511i | −1.48050 | + | 0.134851i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 30.1564 | + | 26.1768i | 1.22100 | + | 1.05987i | ||||
\(611\) | −4.45944 | + | 2.57466i | −0.180410 | + | 0.104160i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.98975 | − | 1.72613i | −0.120755 | − | 0.0697178i | 0.438406 | − | 0.898777i | \(-0.355543\pi\) |
−0.559161 | + | 0.829059i | \(0.688877\pi\) | |||||||
\(614\) | 6.72780 | + | 19.4937i | 0.271512 | + | 0.786704i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.895268 | − | 2.12173i | 0.0360714 | − | 0.0854871i | ||||
\(617\) | −3.45250 | + | 0.608769i | −0.138992 | + | 0.0245081i | −0.242711 | − | 0.970099i | \(-0.578037\pi\) |
0.103719 | + | 0.994607i | \(0.466926\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.42408 | − | 4.55134i | −0.218012 | − | 0.182934i | 0.527241 | − | 0.849716i | \(-0.323227\pi\) |
−0.745253 | + | 0.666782i | \(0.767671\pi\) | |||||||
\(620\) | −44.2898 | − | 27.5876i | −1.77872 | − | 1.10794i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −29.1273 | + | 16.1727i | −1.16790 | + | 0.648466i | ||||
\(623\) | −1.91682 | − | 1.60840i | −0.0767956 | − | 0.0644391i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.36634 | − | 13.4202i | −0.0946535 | − | 0.536807i | ||||
\(626\) | 6.35052 | − | 1.01047i | 0.253818 | − | 0.0403864i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.65598 | − | 7.41346i | 0.265602 | − | 0.295829i | ||||
\(629\) | 1.60899 | − | 2.78685i | 0.0641546 | − | 0.111119i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −6.49028 | + | 3.74717i | −0.258374 | + | 0.149172i | −0.623593 | − | 0.781749i | \(-0.714328\pi\) |
0.365219 | + | 0.930922i | \(0.380994\pi\) | |||||||
\(632\) | 1.60176 | − | 0.493460i | 0.0637147 | − | 0.0196288i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.41706 | + | 14.1421i | −0.215139 | + | 0.561653i | ||||
\(635\) | −24.3941 | − | 29.0718i | −0.968051 | − | 1.15368i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 4.06252 | + | 11.1617i | 0.160963 | + | 0.442242i | ||||
\(638\) | −11.7937 | + | 19.6597i | −0.466916 | + | 0.778335i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −4.52391 | + | 38.4301i | −0.178823 | + | 1.51908i | ||||
\(641\) | −21.3252 | − | 3.76021i | −0.842295 | − | 0.148519i | −0.264178 | − | 0.964474i | \(-0.585101\pi\) |
−0.578116 | + | 0.815955i | \(0.696212\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −22.2522 | − | 8.09915i | −0.877543 | − | 0.319399i | −0.136325 | − | 0.990664i | \(-0.543529\pi\) |
−0.741218 | + | 0.671265i | \(0.765751\pi\) | |||||||
\(644\) | 1.19642 | − | 2.97346i | 0.0471457 | − | 0.117171i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 3.16543 | − | 16.3470i | 0.124542 | − | 0.643163i | ||||
\(647\) | −18.8024 | −0.739198 | −0.369599 | − | 0.929191i | \(-0.620505\pi\) | ||||
−0.369599 | + | 0.929191i | \(0.620505\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 14.4836 | 0.568530 | ||||||||
\(650\) | 3.07363 | − | 15.8729i | 0.120558 | − | 0.622586i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 12.1166 | + | 4.87532i | 0.474522 | + | 0.190932i | ||||
\(653\) | 10.1057 | + | 3.67818i | 0.395467 | + | 0.143938i | 0.532096 | − | 0.846684i | \(-0.321405\pi\) |
−0.136629 | + | 0.990622i | \(0.543627\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −24.8401 | − | 4.37998i | −0.970582 | − | 0.171140i | ||||
\(656\) | −2.75328 | + | 41.0573i | −0.107497 | + | 1.60302i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.443990 | − | 0.740119i | 0.0173085 | − | 0.0288528i | ||||
\(659\) | −8.25777 | − | 22.6880i | −0.321677 | − | 0.883800i | −0.990143 | − | 0.140058i | \(-0.955271\pi\) |
0.668466 | − | 0.743742i | \(-0.266951\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.20921 | + | 1.44108i | 0.0470329 | + | 0.0560516i | 0.789048 | − | 0.614331i | \(-0.210574\pi\) |
−0.742015 | + | 0.670383i | \(0.766130\pi\) | |||||||
\(662\) | −7.37403 | + | 19.2511i | −0.286600 | + | 0.748213i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 33.7450 | − | 10.3959i | 1.30956 | − | 0.403439i | ||||
\(665\) | −3.88279 | + | 2.24173i | −0.150568 | + | 0.0869305i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.9540 | + | 27.6332i | −0.617743 | + | 1.06996i | ||||
\(668\) | −18.2386 | − | 16.3751i | −0.705674 | − | 0.633571i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.88665 | + | 1.25489i | −0.304688 | + | 0.0484807i | ||||
\(671\) | −5.77005 | − | 32.7236i | −0.222750 | − | 1.26328i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −20.7393 | − | 17.4023i | −0.799439 | − | 0.670809i | 0.148623 | − | 0.988894i | \(-0.452516\pi\) |
−0.948062 | + | 0.318085i | \(0.896960\pi\) | |||||||
\(674\) | 31.1455 | − | 17.2933i | 1.19968 | − | 0.666113i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 10.6659 | − | 17.1233i | 0.410225 | − | 0.658587i | ||||
\(677\) | −18.1567 | − | 15.2353i | −0.697820 | − | 0.585540i | 0.223333 | − | 0.974742i | \(-0.428306\pi\) |
−0.921153 | + | 0.389202i | \(0.872751\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.74759 | + | 0.308148i | −0.0670665 | + | 0.0118256i | ||||
\(680\) | −16.1940 | − | 6.83308i | −0.621012 | − | 0.262037i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 14.1650 | + | 41.0431i | 0.542407 | + | 1.57162i | ||||
\(683\) | −18.0209 | − | 10.4044i | −0.689551 | − | 0.398113i | 0.113893 | − | 0.993493i | \(-0.463668\pi\) |
−0.803444 | + | 0.595380i | \(0.797001\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −34.3795 | + | 19.8490i | −1.31357 | + | 0.758392i | ||||
\(686\) | −3.01577 | − | 2.61779i | −0.115143 | − | 0.0999478i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 13.5463 | + | 5.98492i | 0.516447 | + | 0.228173i | ||||
\(689\) | −10.3845 | − | 12.3757i | −0.395617 | − | 0.471478i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 17.7551 | − | 6.46235i | 0.675438 | − | 0.245839i | 0.0185503 | − | 0.999828i | \(-0.494095\pi\) |
0.656887 | + | 0.753989i | \(0.271873\pi\) | |||||||
\(692\) | 48.7775 | + | 1.63366i | 1.85424 | + | 0.0621024i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 12.5200 | + | 0.209601i | 0.475251 | + | 0.00795635i | ||||
\(695\) | −4.68707 | + | 26.5817i | −0.177791 | + | 1.00830i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −17.5641 | − | 6.39281i | −0.665288 | − | 0.242145i | ||||
\(698\) | 33.5308 | − | 27.1924i | 1.26916 | − | 1.02925i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.841074 | + | 2.57605i | 0.0317896 | + | 0.0973654i | ||||
\(701\) | −7.59328 | −0.286794 | −0.143397 | − | 0.989665i | \(-0.545803\pi\) | ||||
−0.143397 | + | 0.989665i | \(0.545803\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 11.4770i | − | 0.432864i | ||||||
\(704\) | 23.0659 | − | 22.4661i | 0.869329 | − | 0.846723i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 15.2224 | − | 12.3448i | 0.572901 | − | 0.464603i | ||||
\(707\) | 0.716398 | − | 1.96829i | 0.0269429 | − | 0.0740251i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −47.1054 | − | 8.30595i | −1.76908 | − | 0.311937i | −0.808202 | − | 0.588906i | \(-0.799559\pi\) |
−0.960879 | + | 0.276969i | \(0.910670\pi\) | |||||||
\(710\) | 0.363687 | − | 21.7239i | 0.0136489 | − | 0.815282i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.9500 | − | 31.1387i | −0.597751 | − | 1.16697i | ||||
\(713\) | 20.6682 | + | 56.7855i | 0.774032 | + | 2.12663i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −17.9991 | + | 15.1030i | −0.673128 | + | 0.564821i | ||||
\(716\) | 28.5726 | − | 4.05721i | 1.06781 | − | 0.151625i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 17.6073 | − | 20.2840i | 0.657097 | − | 0.756994i | ||||
\(719\) | −3.52716 | − | 6.10922i | −0.131541 | − | 0.227835i | 0.792730 | − | 0.609573i | \(-0.208659\pi\) |
−0.924271 | + | 0.381738i | \(0.875326\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.656522 | + | 1.13713i | −0.0244502 | + | 0.0423489i | ||||
\(722\) | −10.6077 | − | 30.7359i | −0.394779 | − | 1.14387i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 25.2232 | + | 32.1894i | 0.937413 | + | 1.19631i | ||||
\(725\) | −4.68461 | − | 26.5677i | −0.173982 | − | 0.986701i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −18.2911 | + | 21.7985i | −0.678380 | + | 0.808462i | −0.989898 | − | 0.141778i | \(-0.954718\pi\) |
0.311518 | + | 0.950240i | \(0.399163\pi\) | |||||||
\(728\) | 0.0490234 | − | 0.975364i | 0.00181693 | − | 0.0361494i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −34.2555 | + | 19.0201i | −1.26785 | + | 0.703965i | ||||
\(731\) | −4.32397 | + | 5.15310i | −0.159928 | + | 0.190594i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.2179 | − | 2.50701i | 0.525152 | − | 0.0925984i | 0.0952137 | − | 0.995457i | \(-0.469647\pi\) |
0.429938 | + | 0.902858i | \(0.358535\pi\) | |||||||
\(734\) | 4.47821 | + | 28.1443i | 0.165294 | + | 1.03883i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 31.5751 | − | 31.8012i | 1.16387 | − | 1.17221i | ||||
\(737\) | 5.75483 | + | 3.32255i | 0.211982 | + | 0.122388i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −7.63499 | − | 13.2242i | −0.280858 | − | 0.486460i | 0.690738 | − | 0.723105i | \(-0.257286\pi\) |
−0.971596 | + | 0.236645i | \(0.923952\pi\) | |||||||
\(740\) | −11.8541 | − | 2.50199i | −0.435765 | − | 0.0919751i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.52864 | + | 0.968585i | 0.0928293 | + | 0.0355579i | ||||
\(743\) | −9.41012 | + | 7.89602i | −0.345224 | + | 0.289677i | −0.798869 | − | 0.601505i | \(-0.794568\pi\) |
0.453645 | + | 0.891182i | \(0.350123\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 22.6098 | − | 8.22931i | 0.828360 | − | 0.301498i | ||||
\(746\) | −10.0031 | + | 16.6749i | −0.366239 | + | 0.610510i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 6.88474 | + | 12.9039i | 0.251731 | + | 0.471812i | ||||
\(749\) | −0.0794011 | + | 0.450306i | −0.00290125 | + | 0.0164538i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 8.22636 | − | 22.6017i | 0.300184 | − | 0.824749i | −0.694283 | − | 0.719702i | \(-0.744278\pi\) |
0.994467 | − | 0.105047i | \(-0.0334993\pi\) | |||||||
\(752\) | 9.74254 | − | 7.12094i | 0.355274 | − | 0.259674i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.84829 | + | 9.54498i | −0.0673107 | + | 0.347608i | ||||
\(755\) | − | 21.4376i | − | 0.780196i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 2.57077i | − | 0.0934361i | −0.998908 | − | 0.0467180i | \(-0.985124\pi\) | ||
0.998908 | − | 0.0467180i | \(-0.0148762\pi\) | |||||||
\(758\) | −32.0586 | − | 6.20783i | −1.16442 | − | 0.225478i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −62.2037 | + | 7.77284i | −2.25636 | + | 0.281951i | ||||
\(761\) | 8.41063 | − | 23.1080i | 0.304885 | − | 0.837665i | −0.688748 | − | 0.725001i | \(-0.741839\pi\) |
0.993633 | − | 0.112664i | \(-0.0359384\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.105613 | − | 0.598958i | 0.00382343 | − | 0.0216837i | ||||
\(764\) | 19.6051 | + | 36.7452i | 0.709287 | + | 1.32939i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −2.23049 | − | 1.33805i | −0.0805908 | − | 0.0483456i | ||||
\(767\) | 5.77171 | − | 2.10073i | 0.208404 | − | 0.0758530i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 17.5940 | − | 14.7631i | 0.634455 | − | 0.532371i | −0.267855 | − | 0.963459i | \(-0.586315\pi\) |
0.902310 | + | 0.431088i | \(0.141870\pi\) | |||||||
\(770\) | 1.40870 | − | 3.67762i | 0.0507659 | − | 0.132532i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −2.35257 | + | 11.1462i | −0.0846710 | + | 0.401160i | ||||
\(773\) | 1.98617 | + | 3.44015i | 0.0714375 | + | 0.123733i | 0.899532 | − | 0.436856i | \(-0.143908\pi\) |
−0.828094 | + | 0.560589i | \(0.810575\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −44.2471 | − | 25.5461i | −1.58940 | − | 0.917642i | ||||
\(776\) | −24.1877 | − | 5.52966i | −0.868287 | − | 0.198503i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −41.4994 | + | 6.60322i | −1.48783 | + | 0.236737i | ||||
\(779\) | −65.6503 | + | 11.5759i | −2.35217 | + | 0.414751i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −11.6210 | + | 13.8494i | −0.415833 | + | 0.495571i | ||||
\(782\) | 9.88143 | + | 17.7966i | 0.353359 | + | 0.636405i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −12.2740 | − | 24.9842i | −0.438357 | − | 0.892292i | ||||
\(785\) | 10.9517 | − | 13.0518i | 0.390884 | − | 0.465837i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 2.43923 | + | 13.8335i | 0.0869490 | + | 0.493112i | 0.996919 | + | 0.0784382i | \(0.0249933\pi\) |
−0.909970 | + | 0.414674i | \(0.863896\pi\) | |||||||
\(788\) | −42.1980 | + | 33.0657i | −1.50324 | + | 1.17792i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.70942 | − | 0.935090i | 0.0963967 | − | 0.0332690i | ||||
\(791\) | −0.569609 | + | 0.986591i | −0.0202529 | + | 0.0350791i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.04567 | − | 12.2035i | −0.250199 | − | 0.433358i | ||||
\(794\) | −16.3936 | − | 14.2302i | −0.581785 | − | 0.505010i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 50.9629 | − | 7.23655i | 1.80633 | − | 0.256493i | ||||
\(797\) | −18.0786 | + | 15.1698i | −0.640378 | + | 0.537341i | −0.904134 | − | 0.427248i | \(-0.859483\pi\) |
0.263756 | + | 0.964589i | \(0.415039\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.87476 | + | 5.15085i | 0.0663241 | + | 0.182224i | ||||
\(800\) | −3.16760 | + | 37.7567i | −0.111991 | + | 1.33490i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −23.9326 | − | 0.400665i | −0.845090 | − | 0.0141480i | ||||
\(803\) | 32.1080 | + | 5.66151i | 1.13307 | + | 0.199790i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1.87466 | − | 5.15060i | 0.0660732 | − | 0.181535i | ||||
\(806\) | 11.5977 | + | 14.3011i | 0.408513 | + | 0.503736i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 19.9276 | − | 21.4617i | 0.701050 | − | 0.755018i | ||||
\(809\) | − | 30.1592i | − | 1.06034i | −0.847891 | − | 0.530170i | \(-0.822128\pi\) | ||
0.847891 | − | 0.530170i | \(-0.177872\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −19.2303 | −0.675266 | −0.337633 | − | 0.941278i | \(-0.609626\pi\) | ||||
−0.337633 | + | 0.941278i | \(0.609626\pi\) | |||||||
\(812\) | −0.505770 | − | 1.54908i | −0.0177491 | − | 0.0543619i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 6.34990 | + | 7.83004i | 0.222564 | + | 0.274443i | ||||
\(815\) | 20.9882 | + | 7.63909i | 0.735185 | + | 0.267586i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −4.16611 | + | 23.6272i | −0.145754 | + | 0.826610i | ||||
\(818\) | −0.0340433 | + | 2.03348i | −0.00119029 | + | 0.0710991i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.35553 | + | 70.3309i | −0.0822587 | + | 2.45606i | ||||
\(821\) | −4.28889 | + | 1.56103i | −0.149683 | + | 0.0544802i | −0.415775 | − | 0.909467i | \(-0.636490\pi\) |
0.266092 | + | 0.963948i | \(0.414267\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −9.86833 | − | 11.7606i | −0.343988 | − | 0.409949i | 0.566118 | − | 0.824324i | \(-0.308445\pi\) |
−0.910106 | + | 0.414375i | \(0.864000\pi\) | |||||||
\(824\) | −14.6384 | + | 11.0800i | −0.509953 | + | 0.385991i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −0.674846 | + | 0.777441i | −0.0234809 | + | 0.0270506i | ||||
\(827\) | −30.5131 | + | 17.6168i | −1.06104 | + | 0.612594i | −0.925721 | − | 0.378207i | \(-0.876541\pi\) |
−0.135324 | + | 0.990801i | \(0.543207\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 32.1764 | + | 18.5771i | 1.11753 | + | 0.645208i | 0.940770 | − | 0.339045i | \(-0.110104\pi\) |
0.176763 | + | 0.984253i | \(0.443437\pi\) | |||||||
\(830\) | 57.0803 | − | 19.6999i | 1.98129 | − | 0.683793i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 5.93323 | − | 12.2983i | 0.205698 | − | 0.426366i | ||||
\(833\) | 12.4520 | − | 2.19562i | 0.431435 | − | 0.0760737i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −32.1100 | − | 26.9435i | −1.11121 | − | 0.932418i | ||||
\(836\) | 44.2759 | + | 27.5789i | 1.53131 | + | 0.953835i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 18.4519 | + | 33.2322i | 0.637411 | + | 1.14799i | ||||
\(839\) | 12.7067 | + | 10.6622i | 0.438683 | + | 0.368099i | 0.835216 | − | 0.549921i | \(-0.185342\pi\) |
−0.396533 | + | 0.918020i | \(0.629787\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.21876 | − | 12.5832i | −0.0765090 | − | 0.433904i | ||||
\(842\) | −8.53125 | − | 53.6166i | −0.294006 | − | 1.84775i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.52217 | − | 3.16229i | −0.121238 | − | 0.108850i | ||||
\(845\) | 17.2494 | − | 29.8769i | 0.593398 | − | 1.02779i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −0.910879 | + | 0.525896i | −0.0312982 | + | 0.0180700i | ||||
\(848\) | 27.3094 | + | 26.2222i | 0.937808 | + | 0.900473i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −16.0717 | − | 6.15621i | −0.551256 | − | 0.211156i | ||||
\(851\) | 9.01893 | + | 10.7483i | 0.309165 | + | 0.368449i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −6.77920 | − | 18.6257i | −0.232115 | − | 0.637732i | 0.767880 | − | 0.640593i | \(-0.221311\pi\) |
−0.999996 | + | 0.00286126i | \(0.999089\pi\) | |||||||
\(854\) | 2.02537 | + | 1.21500i | 0.0693067 | + | 0.0415764i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.47055 | + | 5.36930i | −0.118621 | + | 0.183519i | ||||
\(857\) | 17.6147 | + | 3.10595i | 0.601708 | + | 0.106097i | 0.466201 | − | 0.884679i | \(-0.345623\pi\) |
0.135507 | + | 0.990776i | \(0.456734\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 7.25730 | + | 2.64144i | 0.247616 | + | 0.0901249i | 0.462847 | − | 0.886438i | \(-0.346828\pi\) |
−0.215231 | + | 0.976563i | \(0.569050\pi\) | |||||||
\(860\) | 23.4953 | + | 9.45373i | 0.801182 | + | 0.322369i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.6984 | + | 2.07164i | 0.364389 | + | 0.0705602i | ||||
\(863\) | −8.69446 | −0.295963 | −0.147981 | − | 0.988990i | \(-0.547278\pi\) | ||||
−0.147981 | + | 0.988990i | \(0.547278\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 83.4618 | 2.83779 | ||||||||
\(866\) | −26.1807 | − | 5.06963i | −0.889657 | − | 0.172273i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.86309 | − | 1.15201i | −0.0971796 | − | 0.0391019i | ||||
\(869\) | −2.24118 | − | 0.815725i | −0.0760270 | − | 0.0276716i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.77521 | + | 0.489344i | 0.0940344 | + | 0.0165808i | ||||
\(872\) | 4.61622 | − | 7.14178i | 0.156325 | − | 0.241851i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 62.2568 | + | 37.3472i | 2.10587 | + | 1.26329i | ||||
\(875\) | 0.401800 | + | 1.10394i | 0.0135833 | + | 0.0373198i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 27.2022 | + | 32.4183i | 0.918553 | + | 1.09469i | 0.995223 | + | 0.0976318i | \(0.0311268\pi\) |
−0.0766700 | + | 0.997057i | \(0.524429\pi\) | |||||||
\(878\) | 21.8805 | + | 8.38124i | 0.738432 | + | 0.282853i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 38.1372 | − | 39.7184i | 1.28560 | − | 1.33891i | ||||
\(881\) | −23.5185 | + | 13.5784i | −0.792359 | + | 0.457468i | −0.840792 | − | 0.541358i | \(-0.817910\pi\) |
0.0484336 | + | 0.998826i | \(0.484577\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 4.48989 | − | 7.77672i | 0.151097 | − | 0.261707i | −0.780534 | − | 0.625113i | \(-0.785053\pi\) |
0.931631 | + | 0.363406i | \(0.118386\pi\) | |||||||
\(884\) | 4.61517 | + | 4.14361i | 0.155225 | + | 0.139365i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 1.45299 | + | 9.13163i | 0.0488141 | + | 0.306783i | ||||
\(887\) | −1.66173 | − | 9.42413i | −0.0557954 | − | 0.316431i | 0.944118 | − | 0.329608i | \(-0.106917\pi\) |
−0.999913 | + | 0.0131769i | \(0.995806\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.71947 | − | 1.44280i | −0.0576691 | − | 0.0483901i | ||||
\(890\) | −29.0435 | − | 52.3078i | −0.973540 | − | 1.75336i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −34.0033 | − | 21.1802i | −1.13852 | − | 0.709166i | ||||
\(893\) | 14.9759 | + | 12.5663i | 0.501149 | + | 0.420514i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 48.6028 | − | 8.56999i | 1.62461 | − | 0.286463i | ||||
\(896\) | 0.131193 | + | 2.28490i | 0.00438285 | + | 0.0763332i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −13.9554 | + | 4.81636i | −0.465697 | + | 0.160724i | ||||
\(899\) | 26.6075 | + | 15.3618i | 0.887409 | + | 0.512346i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −14.8933 | + | 8.59864i | −0.496167 | + | 0.286462i | ||||
\(902\) | 38.3845 | − | 44.2199i | 1.27806 | − | 1.47236i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −12.7005 | + | 9.61320i | −0.422412 | + | 0.319730i | ||||
\(905\) | 44.9530 | + | 53.5729i | 1.49429 | + | 1.78082i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 22.4084 | − | 8.15601i | 0.744060 | − | 0.270816i | 0.0579560 | − | 0.998319i | \(-0.481542\pi\) |
0.686104 | + | 0.727503i | \(0.259319\pi\) | |||||||
\(908\) | −1.72469 | + | 51.4954i | −0.0572358 | + | 1.70893i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.0279556 | − | 1.66985i | 0.000926720 | − | 0.0553551i | ||||
\(911\) | 4.55164 | − | 25.8136i | 0.150802 | − | 0.855243i | −0.811721 | − | 0.584045i | \(-0.801469\pi\) |
0.962524 | − | 0.271198i | \(-0.0874198\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −47.2159 | − | 17.1852i | −1.56262 | − | 0.568746i | ||||
\(914\) | 24.0389 | + | 29.6423i | 0.795137 | + | 0.980481i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.38522 | − | 4.24266i | −0.0457690 | − | 0.140181i | ||||
\(917\) | −1.49185 | −0.0492651 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 28.4248i | 0.937649i | 0.883291 | + | 0.468824i | \(0.155322\pi\) | ||||
−0.883291 | + | 0.468824i | \(0.844678\pi\) | |||||||
\(920\) | 52.1463 | − | 56.1606i | 1.71921 | − | 1.85156i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 4.41527 | + | 5.44446i | 0.145409 | + | 0.179304i | ||||
\(923\) | −2.62224 | + | 7.20454i | −0.0863120 | + | 0.237140i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −11.6827 | − | 2.05997i | −0.384123 | − | 0.0677313i | ||||
\(926\) | −4.25685 | − | 0.0712654i | −0.139889 | − | 0.00234193i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 1.90480 | − | 22.7046i | 0.0625281 | − | 0.745314i | ||||
\(929\) | −0.817461 | − | 2.24596i | −0.0268200 | − | 0.0736874i | 0.925560 | − | 0.378601i | \(-0.123595\pi\) |
−0.952380 | + | 0.304913i | \(0.901372\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 34.5451 | − | 28.9868i | 1.13217 | − | 0.950003i | ||||
\(932\) | 17.0086 | − | 2.41516i | 0.557135 | − | 0.0791112i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 35.8370 | + | 31.1078i | 1.17262 | + | 1.01788i | ||||
\(935\) | 12.5057 | + | 21.6606i | 0.408982 | + | 0.708377i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −25.1607 | + | 43.5796i | −0.821965 | + | 1.42368i | 0.0822523 | + | 0.996612i | \(0.473789\pi\) |
−0.904217 | + | 0.427073i | \(0.859545\pi\) | |||||||
\(938\) | −0.446486 | + | 0.154094i | −0.0145783 | + | 0.00503134i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 16.2439 | − | 12.7285i | 0.529817 | − | 0.415157i | ||||
\(941\) | 7.57703 | + | 42.9715i | 0.247004 | + | 1.40083i | 0.815792 | + | 0.578346i | \(0.196302\pi\) |
−0.568787 | + | 0.822485i | \(0.692587\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 52.3856 | − | 62.4307i | 1.70591 | − | 2.03302i | ||||
\(944\) | −12.9193 | + | 6.34688i | −0.420488 | + | 0.206573i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −10.2300 | − | 18.4243i | −0.332605 | − | 0.599026i | ||||
\(947\) | 19.4528 | − | 23.1830i | 0.632132 | − | 0.753345i | −0.350974 | − | 0.936385i | \(-0.614149\pi\) |
0.983105 | + | 0.183040i | \(0.0585938\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 13.6162 | − | 2.40091i | 0.442001 | − | 0.0779367i | ||||
\(950\) | −60.6190 | + | 9.64544i | −1.96674 | + | 0.312939i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −1.01343 | − | 0.231686i | −0.0328455 | − | 0.00750897i | ||||
\(953\) | −27.2578 | − | 15.7373i | −0.882965 | − | 0.509780i | −0.0113304 | − | 0.999936i | \(-0.503607\pi\) |
−0.871635 | + | 0.490156i | \(0.836940\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 35.6115 | + | 61.6810i | 1.15236 | + | 1.99595i | ||||
\(956\) | 0.604952 | − | 2.86618i | 0.0195655 | − | 0.0926989i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −7.83818 | + | 20.4628i | −0.253240 | + | 0.661122i | ||||
\(959\) | −1.79864 | + | 1.50924i | −0.0580812 | + | 0.0487359i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 25.5472 | − | 9.29843i | 0.824104 | − | 0.299949i | ||||
\(962\) | 3.66612 | + | 2.19927i | 0.118201 | + | 0.0709073i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.90082 | + | 3.56265i | 0.0612213 | + | 0.114745i | ||||
\(965\) | −3.38287 | + | 19.1852i | −0.108899 | + | 0.617594i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 2.57740 | − | 7.08136i | 0.0828837 | − | 0.227721i | −0.891327 | − | 0.453361i | \(-0.850225\pi\) |
0.974211 | + | 0.225640i | \(0.0724472\pi\) | |||||||
\(968\) | −14.5926 | + | 1.82346i | −0.469025 | + | 0.0586084i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −41.6570 | − | 8.06647i | −1.33753 | − | 0.258999i | ||||
\(971\) | 15.5087i | 0.497696i | 0.968543 | + | 0.248848i | \(0.0800520\pi\) | ||||
−0.968543 | + | 0.248848i | \(0.919948\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1.59644i | 0.0511796i | ||||||||
\(974\) | −11.5538 | + | 59.6664i | −0.370207 | + | 1.91183i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 19.4868 | + | 26.6609i | 0.623756 | + | 0.853394i | ||||
\(977\) | 7.54941 | − | 20.7418i | 0.241527 | − | 0.663590i | −0.758403 | − | 0.651786i | \(-0.774020\pi\) |
0.999930 | − | 0.0118046i | \(-0.00375761\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.64507 | + | 49.0287i | −0.276298 | + | 1.56696i | ||||
\(980\) | −22.4083 | − | 41.9992i | −0.715808 | − | 1.34162i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.09620 | − | 15.1631i | 0.290272 | − | 0.483875i | ||||
\(983\) | −13.7881 | + | 5.01845i | −0.439771 | + | 0.160064i | −0.552410 | − | 0.833572i | \(-0.686292\pi\) |
0.112639 | + | 0.993636i | \(0.464070\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −70.2301 | + | 58.9300i | −2.23772 | + | 1.87767i | ||||
\(986\) | 9.66455 | + | 3.70196i | 0.307782 | + | 0.117895i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 21.6441 | + | 4.56831i | 0.688589 | + | 0.145337i | ||||
\(989\) | −14.6652 | − | 25.4010i | −0.466328 | − | 0.807703i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 10.0032 | + | 5.77533i | 0.317761 | + | 0.183460i | 0.650394 | − | 0.759597i | \(-0.274604\pi\) |
−0.332633 | + | 0.943056i | \(0.607937\pi\) | |||||||
\(992\) | −30.6208 | − | 30.4031i | −0.972210 | − | 0.965298i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.201932 | − | 1.26909i | −0.00640488 | − | 0.0402529i | ||||
\(995\) | 86.6893 | − | 15.2857i | 2.74824 | − | 0.484588i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 27.6917 | − | 33.0016i | 0.877004 | − | 1.04517i | −0.121612 | − | 0.992578i | \(-0.538806\pi\) |
0.998616 | − | 0.0525950i | \(-0.0167492\pi\) | |||||||
\(998\) | 0.728786 | − | 0.404653i | 0.0230693 | − | 0.0128091i | ||||
\(999\) | 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 | 648.2.v.b.35.30 | 192 | ||
3.2 | odd | 2 | 216.2.v.b.11.3 | ✓ | 192 | ||
8.3 | odd | 2 | inner | 648.2.v.b.35.13 | 192 | ||
12.11 | even | 2 | 864.2.bh.b.335.25 | 192 | |||
24.5 | odd | 2 | 864.2.bh.b.335.26 | 192 | |||
24.11 | even | 2 | 216.2.v.b.11.20 | yes | 192 | ||
27.5 | odd | 18 | inner | 648.2.v.b.611.13 | 192 | ||
27.22 | even | 9 | 216.2.v.b.59.20 | yes | 192 | ||
108.103 | odd | 18 | 864.2.bh.b.815.26 | 192 | |||
216.59 | even | 18 | inner | 648.2.v.b.611.30 | 192 | ||
216.157 | even | 18 | 864.2.bh.b.815.25 | 192 | |||
216.211 | odd | 18 | 216.2.v.b.59.3 | yes | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.3 | ✓ | 192 | 3.2 | odd | 2 | ||
216.2.v.b.11.20 | yes | 192 | 24.11 | even | 2 | ||
216.2.v.b.59.3 | yes | 192 | 216.211 | odd | 18 | ||
216.2.v.b.59.20 | yes | 192 | 27.22 | even | 9 | ||
648.2.v.b.35.13 | 192 | 8.3 | odd | 2 | inner | ||
648.2.v.b.35.30 | 192 | 1.1 | even | 1 | trivial | ||
648.2.v.b.611.13 | 192 | 27.5 | odd | 18 | inner | ||
648.2.v.b.611.30 | 192 | 216.59 | even | 18 | inner | ||
864.2.bh.b.335.25 | 192 | 12.11 | even | 2 | |||
864.2.bh.b.335.26 | 192 | 24.5 | odd | 2 | |||
864.2.bh.b.815.25 | 192 | 216.157 | even | 18 | |||
864.2.bh.b.815.26 | 192 | 108.103 | odd | 18 |