Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 325.2 | ||
Root | \(0.0878222i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.325 |
Dual form | 729.2.e.j.406.2 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.132507 | − | 0.111187i | 0.0936968 | − | 0.0786209i | −0.594736 | − | 0.803921i | \(-0.702743\pi\) |
0.688433 | + | 0.725300i | \(0.258299\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.342101 | + | 1.94015i | −0.171050 | + | 0.970075i | ||||
\(5\) | 3.51122 | − | 1.27798i | 1.57027 | − | 0.571530i | 0.597207 | − | 0.802087i | \(-0.296277\pi\) |
0.973059 | + | 0.230557i | \(0.0740550\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.526414 | + | 2.98544i | 0.198966 | + | 1.12839i | 0.906657 | + | 0.421869i | \(0.138626\pi\) |
−0.707691 | + | 0.706522i | \(0.750263\pi\) | |||||||
\(8\) | 0.343364 | + | 0.594724i | 0.121398 | + | 0.210267i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.323168 | − | 0.559743i | 0.102195 | − | 0.177006i | ||||
\(11\) | 2.34143 | + | 0.852210i | 0.705967 | + | 0.256951i | 0.669957 | − | 0.742400i | \(-0.266313\pi\) |
0.0360107 | + | 0.999351i | \(0.488535\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.586130 | − | 0.491822i | −0.162563 | − | 0.136407i | 0.557877 | − | 0.829923i | \(-0.311616\pi\) |
−0.720441 | + | 0.693517i | \(0.756060\pi\) | |||||||
\(14\) | 0.401695 | + | 0.337062i | 0.107358 | + | 0.0900837i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.59091 | − | 1.30699i | −0.897729 | − | 0.326746i | ||||
\(17\) | −2.31139 | + | 4.00345i | −0.560595 | + | 0.970979i | 0.436850 | + | 0.899534i | \(0.356094\pi\) |
−0.997445 | + | 0.0714442i | \(0.977239\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.305922 | + | 0.529872i | 0.0701833 | + | 0.121561i | 0.898982 | − | 0.437987i | \(-0.144308\pi\) |
−0.828798 | + | 0.559548i | \(0.810975\pi\) | |||||||
\(20\) | 1.27828 | + | 7.24949i | 0.285832 | + | 1.62104i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.405011 | − | 0.147412i | 0.0863486 | − | 0.0314283i | ||||
\(23\) | 1.13295 | − | 6.42526i | 0.236236 | − | 1.33976i | −0.603760 | − | 0.797166i | \(-0.706332\pi\) |
0.839996 | − | 0.542593i | \(-0.182557\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 6.86521 | − | 5.76060i | 1.37304 | − | 1.15212i | ||||
\(26\) | −0.132351 | −0.0259561 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.97229 | −1.12866 | ||||||||
\(29\) | −5.01827 | + | 4.21083i | −0.931870 | + | 0.781932i | −0.976152 | − | 0.217087i | \(-0.930344\pi\) |
0.0442820 | + | 0.999019i | \(0.485900\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.13747 | − | 6.45091i | 0.204296 | − | 1.15862i | −0.694249 | − | 0.719735i | \(-0.744263\pi\) |
0.898544 | − | 0.438883i | \(-0.144626\pi\) | |||||||
\(32\) | −1.91177 | + | 0.695827i | −0.337956 | + | 0.123006i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.138854 | + | 0.787482i | 0.0238133 | + | 0.135052i | ||||
\(35\) | 5.66369 | + | 9.80980i | 0.957338 | + | 1.65816i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.47984 | + | 4.29522i | −0.407684 | + | 0.706129i | −0.994630 | − | 0.103497i | \(-0.966997\pi\) |
0.586946 | + | 0.809626i | \(0.300330\pi\) | |||||||
\(38\) | 0.0994517 | + | 0.0361975i | 0.0161332 | + | 0.00587200i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.96567 | + | 1.64939i | 0.310800 | + | 0.260792i | ||||
\(41\) | 4.02958 | + | 3.38122i | 0.629314 | + | 0.528057i | 0.900716 | − | 0.434409i | \(-0.143043\pi\) |
−0.271402 | + | 0.962466i | \(0.587487\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −5.23463 | − | 1.90525i | −0.798273 | − | 0.290548i | −0.0895024 | − | 0.995987i | \(-0.528528\pi\) |
−0.708771 | + | 0.705439i | \(0.750750\pi\) | |||||||
\(44\) | −2.45442 | + | 4.25118i | −0.370018 | + | 0.640889i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.564280 | − | 0.977362i | −0.0831986 | − | 0.144104i | ||||
\(47\) | 0.192335 | + | 1.09079i | 0.0280550 | + | 0.159108i | 0.995617 | − | 0.0935267i | \(-0.0298141\pi\) |
−0.967562 | + | 0.252635i | \(0.918703\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.05791 | + | 0.749017i | −0.293987 | + | 0.107002i | ||||
\(50\) | 0.269188 | − | 1.52664i | 0.0380690 | − | 0.215900i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.15472 | − | 0.968928i | 0.160131 | − | 0.134366i | ||||
\(53\) | 8.84310 | 1.21469 | 0.607346 | − | 0.794437i | \(-0.292234\pi\) | ||||
0.607346 | + | 0.794437i | \(0.292234\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 9.31038 | 1.25541 | ||||||||
\(56\) | −1.59476 | + | 1.33816i | −0.213109 | + | 0.178820i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.196769 | + | 1.11593i | −0.0258370 | + | 0.146529i | ||||
\(59\) | 11.1370 | − | 4.05354i | 1.44992 | − | 0.527726i | 0.507347 | − | 0.861742i | \(-0.330626\pi\) |
0.942568 | + | 0.334016i | \(0.108404\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.42166 | + | 8.06263i | 0.182025 | + | 1.03231i | 0.929719 | + | 0.368270i | \(0.120050\pi\) |
−0.747694 | + | 0.664043i | \(0.768839\pi\) | |||||||
\(62\) | −0.566533 | − | 0.981264i | −0.0719498 | − | 0.124621i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.64541 | − | 6.31404i | 0.455677 | − | 0.789255i | ||||
\(65\) | −2.68657 | − | 0.977832i | −0.333228 | − | 0.121285i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.928705 | − | 0.779276i | −0.113459 | − | 0.0952037i | 0.584293 | − | 0.811543i | \(-0.301372\pi\) |
−0.697752 | + | 0.716339i | \(0.745816\pi\) | |||||||
\(68\) | −6.97656 | − | 5.85403i | −0.846032 | − | 0.709905i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.84120 | + | 0.670142i | 0.220066 | + | 0.0800973i | ||||
\(71\) | 2.45973 | − | 4.26038i | 0.291916 | − | 0.505614i | −0.682346 | − | 0.731029i | \(-0.739040\pi\) |
0.974263 | + | 0.225415i | \(0.0723738\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.14972 | − | 3.72343i | −0.251606 | − | 0.435795i | 0.712362 | − | 0.701812i | \(-0.247625\pi\) |
−0.963968 | + | 0.266017i | \(0.914292\pi\) | |||||||
\(74\) | 0.148974 | + | 0.844873i | 0.0173179 | + | 0.0982145i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.13269 | + | 0.412265i | −0.129928 | + | 0.0472900i | ||||
\(77\) | −1.31166 | + | 7.43882i | −0.149478 | + | 0.847732i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −9.03519 | + | 7.58143i | −1.01654 | + | 0.852977i | −0.989189 | − | 0.146649i | \(-0.953151\pi\) |
−0.0273498 | + | 0.999626i | \(0.508707\pi\) | |||||||
\(80\) | −14.2788 | −1.59642 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.909895 | 0.100481 | ||||||||
\(83\) | 6.90671 | − | 5.79542i | 0.758110 | − | 0.636130i | −0.179524 | − | 0.983754i | \(-0.557456\pi\) |
0.937634 | + | 0.347624i | \(0.113011\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.99948 | + | 17.0109i | −0.325339 | + | 1.84509i | ||||
\(86\) | −0.905464 | + | 0.329562i | −0.0976387 | + | 0.0355376i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0.297133 | + | 1.68512i | 0.0316744 | + | 0.179635i | ||||
\(89\) | −3.76943 | − | 6.52884i | −0.399558 | − | 0.692055i | 0.594113 | − | 0.804382i | \(-0.297503\pi\) |
−0.993671 | + | 0.112326i | \(0.964170\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.15976 | − | 2.00876i | 0.121576 | − | 0.210575i | ||||
\(92\) | 12.0784 | + | 4.39617i | 1.25926 | + | 0.458332i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.146767 | + | 0.123152i | 0.0151379 | + | 0.0127022i | ||||
\(95\) | 1.75133 | + | 1.46954i | 0.179682 | + | 0.150771i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.891161 | + | 0.324356i | 0.0904837 | + | 0.0329334i | 0.386865 | − | 0.922136i | \(-0.373558\pi\) |
−0.296382 | + | 0.955070i | \(0.595780\pi\) | |||||||
\(98\) | −0.189407 | + | 0.328062i | −0.0191330 | + | 0.0331393i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 8.82783 | + | 15.2902i | 0.882783 | + | 1.52902i | ||||
\(101\) | −0.973846 | − | 5.52295i | −0.0969013 | − | 0.549554i | −0.994148 | − | 0.108025i | \(-0.965547\pi\) |
0.897247 | − | 0.441529i | \(-0.145564\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 8.85662 | − | 3.22355i | 0.872669 | − | 0.317625i | 0.133421 | − | 0.991059i | \(-0.457404\pi\) |
0.739247 | + | 0.673434i | \(0.235181\pi\) | |||||||
\(104\) | 0.0912421 | − | 0.517460i | 0.00894702 | − | 0.0507411i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.17177 | − | 0.983235i | 0.113813 | − | 0.0955003i | ||||
\(107\) | −1.27825 | −0.123573 | −0.0617864 | − | 0.998089i | \(-0.519680\pi\) | ||||
−0.0617864 | + | 0.998089i | \(0.519680\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.40689 | −0.709451 | −0.354726 | − | 0.934970i | \(-0.615426\pi\) | ||||
−0.354726 | + | 0.934970i | \(0.615426\pi\) | |||||||
\(110\) | 1.23369 | − | 1.03519i | 0.117628 | − | 0.0987016i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.01162 | − | 11.4085i | 0.190081 | − | 1.07800i | ||||
\(113\) | −8.78797 | + | 3.19856i | −0.826703 | + | 0.300895i | −0.720505 | − | 0.693450i | \(-0.756090\pi\) |
−0.106198 | + | 0.994345i | \(0.533868\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.23332 | − | 24.0084i | −0.394759 | − | 2.23879i | ||||
\(116\) | −6.45289 | − | 11.1767i | −0.599136 | − | 1.03773i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.02503 | − | 1.77541i | 0.0943621 | − | 0.163440i | ||||
\(119\) | −13.1688 | − | 4.79306i | −1.20718 | − | 0.439379i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.67046 | − | 3.07989i | −0.333679 | − | 0.279990i | ||||
\(122\) | 1.08484 | + | 0.910287i | 0.0982166 | + | 0.0824135i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 12.1266 | + | 4.41372i | 1.08900 | + | 0.396364i | ||||
\(125\) | 7.40194 | − | 12.8205i | 0.662050 | − | 1.14670i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −10.3984 | − | 18.0106i | −0.922710 | − | 1.59818i | −0.795204 | − | 0.606342i | \(-0.792636\pi\) |
−0.127505 | − | 0.991838i | \(-0.540697\pi\) | |||||||
\(128\) | −0.925555 | − | 5.24909i | −0.0818083 | − | 0.463958i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.464712 | + | 0.169141i | −0.0407579 | + | 0.0148347i | ||||
\(131\) | −0.113884 | + | 0.645866i | −0.00995006 | + | 0.0564296i | −0.989379 | − | 0.145362i | \(-0.953565\pi\) |
0.979428 | + | 0.201792i | \(0.0646764\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.42086 | + | 1.19224i | −0.123204 | + | 0.103381i | ||||
\(134\) | −0.209705 | −0.0181158 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.17460 | −0.272219 | ||||||||
\(137\) | 6.57849 | − | 5.52001i | 0.562038 | − | 0.471606i | −0.316955 | − | 0.948441i | \(-0.602660\pi\) |
0.878993 | + | 0.476835i | \(0.158216\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.33490 | − | 13.2419i | 0.198043 | − | 1.12316i | −0.709974 | − | 0.704228i | \(-0.751293\pi\) |
0.908017 | − | 0.418932i | \(-0.137596\pi\) | |||||||
\(140\) | −20.9700 | + | 7.63247i | −1.77229 | + | 0.645061i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.147766 | − | 0.838021i | −0.0124002 | − | 0.0703251i | ||||
\(143\) | −0.953247 | − | 1.65107i | −0.0797145 | − | 0.138070i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −12.2389 | + | 21.1984i | −1.01639 | + | 1.76043i | ||||
\(146\) | −0.698851 | − | 0.254361i | −0.0578373 | − | 0.0210511i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.48500 | − | 6.28066i | −0.615264 | − | 0.516267i | ||||
\(149\) | 7.37093 | + | 6.18495i | 0.603850 | + | 0.506691i | 0.892681 | − | 0.450690i | \(-0.148822\pi\) |
−0.288830 | + | 0.957380i | \(0.593266\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.69832 | + | 2.43799i | 0.545101 | + | 0.198401i | 0.599869 | − | 0.800098i | \(-0.295219\pi\) |
−0.0547672 | + | 0.998499i | \(0.517442\pi\) | |||||||
\(152\) | −0.210085 | + | 0.363878i | −0.0170402 | + | 0.0295144i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.653293 | + | 1.13154i | 0.0526439 | + | 0.0911818i | ||||
\(155\) | −4.25023 | − | 24.1042i | −0.341386 | − | 1.93610i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.22226 | + | 2.62869i | −0.576399 | + | 0.209792i | −0.613737 | − | 0.789511i | \(-0.710334\pi\) |
0.0373379 | + | 0.999303i | \(0.488112\pi\) | |||||||
\(158\) | −0.354274 | + | 2.00919i | −0.0281845 | + | 0.159842i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −5.82339 | + | 4.88640i | −0.460379 | + | 0.386304i | ||||
\(161\) | 19.7786 | 1.55877 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.04750 | 0.0820465 | 0.0410232 | − | 0.999158i | \(-0.486938\pi\) | ||||
0.0410232 | + | 0.999158i | \(0.486938\pi\) | |||||||
\(164\) | −7.93859 | + | 6.66126i | −0.619899 | + | 0.520157i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0.270815 | − | 1.53587i | 0.0210193 | − | 0.119207i | ||||
\(167\) | −7.85026 | + | 2.85726i | −0.607472 | + | 0.221102i | −0.627397 | − | 0.778700i | \(-0.715880\pi\) |
0.0199249 | + | 0.999801i | \(0.493657\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.15577 | − | 12.2260i | −0.165828 | − | 0.940458i | ||||
\(170\) | 1.49393 | + | 2.58757i | 0.114580 | + | 0.198458i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.48724 | − | 9.50417i | 0.418398 | − | 0.724686i | ||||
\(173\) | −20.5283 | − | 7.47170i | −1.56074 | − | 0.568063i | −0.589834 | − | 0.807525i | \(-0.700807\pi\) |
−0.970906 | + | 0.239462i | \(0.923029\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 20.8119 | + | 17.4632i | 1.57323 | + | 1.32010i | ||||
\(176\) | −7.29404 | − | 6.12043i | −0.549809 | − | 0.461345i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.22540 | − | 0.446008i | −0.0918474 | − | 0.0334297i | ||||
\(179\) | 4.54433 | − | 7.87101i | 0.339659 | − | 0.588307i | −0.644709 | − | 0.764428i | \(-0.723022\pi\) |
0.984369 | + | 0.176121i | \(0.0563549\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.56539 | + | 6.17543i | 0.265013 | + | 0.459016i | 0.967567 | − | 0.252614i | \(-0.0812904\pi\) |
−0.702554 | + | 0.711630i | \(0.747957\pi\) | |||||||
\(182\) | −0.0696712 | − | 0.395125i | −0.00516437 | − | 0.0292886i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.21027 | − | 1.53241i | 0.310385 | − | 0.112971i | ||||
\(185\) | −3.21808 | + | 18.2506i | −0.236598 | + | 1.34181i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.82374 | + | 7.40399i | −0.645256 | + | 0.541434i | ||||
\(188\) | −2.18209 | −0.159145 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.395456 | 0.0286894 | ||||||||
\(191\) | 9.15854 | − | 7.68493i | 0.662689 | − | 0.556062i | −0.248203 | − | 0.968708i | \(-0.579840\pi\) |
0.910891 | + | 0.412646i | \(0.135395\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.54089 | + | 8.73883i | −0.110916 | + | 0.629034i | 0.877776 | + | 0.479071i | \(0.159027\pi\) |
−0.988692 | + | 0.149963i | \(0.952085\pi\) | |||||||
\(194\) | 0.154149 | − | 0.0561058i | 0.0110673 | − | 0.00402816i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −0.749193 | − | 4.24889i | −0.0535138 | − | 0.303492i | ||||
\(197\) | −3.69895 | − | 6.40677i | −0.263539 | − | 0.456464i | 0.703641 | − | 0.710556i | \(-0.251557\pi\) |
−0.967180 | + | 0.254093i | \(0.918223\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.19187 | − | 8.99259i | 0.368042 | − | 0.637468i | −0.621217 | − | 0.783638i | \(-0.713362\pi\) |
0.989259 | + | 0.146171i | \(0.0466948\pi\) | |||||||
\(200\) | 5.78323 | + | 2.10493i | 0.408936 | + | 0.148841i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −0.743121 | − | 0.623553i | −0.0522858 | − | 0.0438730i | ||||
\(203\) | −15.2129 | − | 12.7651i | −1.06774 | − | 0.895936i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 18.4699 | + | 6.72248i | 1.28999 | + | 0.469518i | ||||
\(206\) | 0.815151 | − | 1.41188i | 0.0567942 | − | 0.0983705i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.46194 | + | 2.53215i | 0.101367 | + | 0.175573i | ||||
\(209\) | 0.264732 | + | 1.50137i | 0.0183119 | + | 0.103852i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −19.6031 | + | 7.13493i | −1.34953 | + | 0.491189i | −0.912801 | − | 0.408404i | \(-0.866085\pi\) |
−0.436729 | + | 0.899593i | \(0.643863\pi\) | |||||||
\(212\) | −3.02523 | + | 17.1569i | −0.207774 | + | 1.17834i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −0.169377 | + | 0.142124i | −0.0115784 | + | 0.00971540i | ||||
\(215\) | −20.8148 | −1.41956 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 19.8576 | 1.34802 | ||||||||
\(218\) | −0.981466 | + | 0.823548i | −0.0664733 | + | 0.0557777i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.18509 | + | 18.0635i | −0.214739 | + | 1.21784i | ||||
\(221\) | 3.32376 | − | 1.20975i | 0.223580 | − | 0.0813765i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 4.09436 | + | 23.2203i | 0.274179 | + | 1.55494i | 0.741558 | + | 0.670888i | \(0.234087\pi\) |
−0.467380 | + | 0.884057i | \(0.654802\pi\) | |||||||
\(224\) | −3.08373 | − | 5.34118i | −0.206041 | − | 0.356873i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.808832 | + | 1.40094i | −0.0538027 | + | 0.0931890i | ||||
\(227\) | 9.85186 | + | 3.58578i | 0.653891 | + | 0.237997i | 0.647597 | − | 0.761983i | \(-0.275774\pi\) |
0.00629435 | + | 0.999980i | \(0.497996\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.6345 | − | 8.92345i | −0.702751 | − | 0.589678i | 0.219804 | − | 0.975544i | \(-0.429458\pi\) |
−0.922555 | + | 0.385866i | \(0.873903\pi\) | |||||||
\(230\) | −3.23036 | − | 2.71059i | −0.213004 | − | 0.178731i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.22738 | − | 1.53864i | −0.277541 | − | 0.101017i | ||||
\(233\) | −3.79982 | + | 6.58149i | −0.248935 | + | 0.431167i | −0.963230 | − | 0.268676i | \(-0.913414\pi\) |
0.714296 | + | 0.699844i | \(0.246747\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.06934 | + | 3.58420i | 0.134989 | + | 0.233807i | ||||
\(236\) | 4.05449 | + | 22.9942i | 0.263925 | + | 1.49679i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.27789 | + | 0.829083i | −0.147654 | + | 0.0537415i | ||||
\(239\) | 2.87539 | − | 16.3071i | 0.185993 | − | 1.05482i | −0.738679 | − | 0.674057i | \(-0.764550\pi\) |
0.924673 | − | 0.380763i | \(-0.124339\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.1218 | + | 9.33230i | −0.716419 | + | 0.601147i | −0.926392 | − | 0.376560i | \(-0.877107\pi\) |
0.209973 | + | 0.977707i | \(0.432662\pi\) | |||||||
\(242\) | −0.828806 | −0.0532776 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −16.1290 | −1.03256 | ||||||||
\(245\) | −6.26854 | + | 5.25993i | −0.400482 | + | 0.336044i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.0812926 | − | 0.461033i | 0.00517252 | − | 0.0293348i | ||||
\(248\) | 4.22708 | − | 1.53853i | 0.268420 | − | 0.0976968i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −0.444664 | − | 2.52181i | −0.0281230 | − | 0.159493i | ||||
\(251\) | −4.52591 | − | 7.83910i | −0.285673 | − | 0.494800i | 0.687099 | − | 0.726563i | \(-0.258884\pi\) |
−0.972772 | + | 0.231764i | \(0.925550\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.12838 | − | 14.0788i | 0.511027 | − | 0.885125i | ||||
\(254\) | −3.38040 | − | 1.23037i | −0.212105 | − | 0.0772000i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 10.4639 | + | 8.78028i | 0.653995 | + | 0.548767i | ||||
\(257\) | 7.43054 | + | 6.23496i | 0.463504 | + | 0.388926i | 0.844418 | − | 0.535684i | \(-0.179946\pi\) |
−0.380914 | + | 0.924610i | \(0.624391\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −14.1285 | − | 5.14237i | −0.877905 | − | 0.319531i | ||||
\(260\) | 2.81622 | − | 4.87783i | 0.174654 | − | 0.302510i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.0567214 | + | 0.0982443i | 0.00350426 | + | 0.00606955i | ||||
\(263\) | −4.66336 | − | 26.4473i | −0.287555 | − | 1.63081i | −0.696012 | − | 0.718030i | \(-0.745044\pi\) |
0.408457 | − | 0.912778i | \(-0.366067\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 31.0501 | − | 11.3013i | 1.90739 | − | 0.694233i | ||||
\(266\) | −0.0557126 | + | 0.315962i | −0.00341596 | + | 0.0193729i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.82962 | − | 1.53524i | 0.111762 | − | 0.0937794i | ||||
\(269\) | 11.7388 | 0.715729 | 0.357865 | − | 0.933774i | \(-0.383505\pi\) | ||||
0.357865 | + | 0.933774i | \(0.383505\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.144576 | 0.00878238 | 0.00439119 | − | 0.999990i | \(-0.498602\pi\) | ||||
0.00439119 | + | 0.999990i | \(0.498602\pi\) | |||||||
\(272\) | 13.5325 | − | 11.3551i | 0.820526 | − | 0.688503i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.257945 | − | 1.46288i | 0.0155831 | − | 0.0883759i | ||||
\(275\) | 20.9836 | − | 7.63742i | 1.26536 | − | 0.460554i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.176153 | − | 0.999013i | −0.0105840 | − | 0.0600249i | 0.979058 | − | 0.203580i | \(-0.0652577\pi\) |
−0.989642 | + | 0.143555i | \(0.954147\pi\) | |||||||
\(278\) | −1.16293 | − | 2.01425i | −0.0697479 | − | 0.120807i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.88942 | + | 6.73667i | −0.232437 | + | 0.402593i | ||||
\(281\) | 25.8692 | + | 9.41563i | 1.54323 | + | 0.561689i | 0.966817 | − | 0.255470i | \(-0.0822302\pi\) |
0.576412 | + | 0.817159i | \(0.304452\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −20.5322 | − | 17.2286i | −1.22051 | − | 1.02413i | −0.998798 | − | 0.0490201i | \(-0.984390\pi\) |
−0.221715 | − | 0.975112i | \(-0.571165\pi\) | |||||||
\(284\) | 7.42430 | + | 6.22973i | 0.440551 | + | 0.369666i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.309889 | − | 0.112791i | −0.0183241 | − | 0.00666944i | ||||
\(287\) | −7.97320 | + | 13.8100i | −0.470643 | + | 0.815178i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.18506 | − | 3.78464i | −0.128533 | − | 0.222626i | ||||
\(290\) | 0.735239 | + | 4.16975i | 0.0431747 | + | 0.244856i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.95944 | − | 2.89700i | 0.465791 | − | 0.169534i | ||||
\(293\) | 3.23980 | − | 18.3738i | 0.189271 | − | 1.07341i | −0.731073 | − | 0.682299i | \(-0.760980\pi\) |
0.920344 | − | 0.391110i | \(-0.127909\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 33.9241 | − | 28.4657i | 1.97514 | − | 1.65734i | ||||
\(296\) | −3.40596 | −0.197967 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.66439 | 0.0964153 | ||||||||
\(299\) | −3.82413 | + | 3.20883i | −0.221155 | + | 0.185571i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.93243 | − | 16.6306i | 0.169022 | − | 0.958573i | ||||
\(302\) | 1.15865 | − | 0.421713i | 0.0666727 | − | 0.0242669i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.406004 | − | 2.30256i | −0.0232859 | − | 0.132061i | ||||
\(305\) | 15.2956 | + | 26.4928i | 0.875825 | + | 1.51697i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −16.8946 | + | 29.2624i | −0.964227 | + | 1.67009i | −0.252551 | + | 0.967584i | \(0.581269\pi\) |
−0.711677 | + | 0.702507i | \(0.752064\pi\) | |||||||
\(308\) | −13.9837 | − | 5.08965i | −0.796795 | − | 0.290010i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.24326 | − | 2.72142i | −0.184205 | − | 0.154566i | ||||
\(311\) | 26.5715 | + | 22.2961i | 1.50673 | + | 1.26430i | 0.869833 | + | 0.493346i | \(0.164226\pi\) |
0.636896 | + | 0.770950i | \(0.280218\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.13893 | − | 1.14248i | −0.177423 | − | 0.0645766i | 0.251781 | − | 0.967784i | \(-0.418984\pi\) |
−0.429204 | + | 0.903208i | \(0.641206\pi\) | |||||||
\(314\) | −0.664726 | + | 1.15134i | −0.0375127 | + | 0.0649739i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −11.6182 | − | 20.1232i | −0.653572 | − | 1.13202i | ||||
\(317\) | 5.38879 | + | 30.5613i | 0.302665 | + | 1.71650i | 0.634299 | + | 0.773088i | \(0.281289\pi\) |
−0.331634 | + | 0.943408i | \(0.607600\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.3384 | + | 5.58274i | −0.858788 | + | 0.312573i | ||||
\(320\) | 4.73063 | − | 26.8288i | 0.264451 | − | 1.49977i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.62081 | − | 2.19912i | 0.146052 | − | 0.122552i | ||||
\(323\) | −2.82842 | −0.157378 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.85710 | −0.380363 | ||||||||
\(326\) | 0.138801 | − | 0.116468i | 0.00768749 | − | 0.00645057i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.627279 | + | 3.55747i | −0.0346357 | + | 0.196429i | ||||
\(329\) | −3.15524 | + | 1.14841i | −0.173954 | + | 0.0633141i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.568121 | + | 3.22197i | 0.0312267 | + | 0.177096i | 0.996432 | − | 0.0843970i | \(-0.0268964\pi\) |
−0.965205 | + | 0.261493i | \(0.915785\pi\) | |||||||
\(332\) | 8.88119 | + | 15.3827i | 0.487419 | + | 0.844234i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.722527 | + | 1.25145i | −0.0395349 | + | 0.0684765i | ||||
\(335\) | −4.25679 | − | 1.54934i | −0.232573 | − | 0.0846497i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.87649 | + | 4.09186i | 0.265639 | + | 0.222898i | 0.765872 | − | 0.642993i | \(-0.222308\pi\) |
−0.500232 | + | 0.865891i | \(0.666752\pi\) | |||||||
\(338\) | −1.64502 | − | 1.38034i | −0.0894773 | − | 0.0750803i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −31.9776 | − | 11.6389i | −1.73423 | − | 0.631207i | ||||
\(341\) | 8.16083 | − | 14.1350i | 0.441934 | − | 0.765452i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 7.29078 | + | 12.6280i | 0.393665 | + | 0.681848i | ||||
\(344\) | −0.664286 | − | 3.76735i | −0.0358159 | − | 0.203122i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −3.55091 | + | 1.29242i | −0.190898 | + | 0.0694812i | ||||
\(347\) | 1.52679 | − | 8.65883i | 0.0819622 | − | 0.464831i | −0.916009 | − | 0.401158i | \(-0.868608\pi\) |
0.997971 | − | 0.0636721i | \(-0.0202812\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11.0312 | − | 9.25628i | 0.590487 | − | 0.495478i | −0.297885 | − | 0.954602i | \(-0.596281\pi\) |
0.888372 | + | 0.459124i | \(0.151837\pi\) | |||||||
\(350\) | 4.69941 | 0.251194 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −5.06926 | −0.270192 | ||||||||
\(353\) | −25.4330 | + | 21.3409i | −1.35366 | + | 1.13586i | −0.375781 | + | 0.926709i | \(0.622625\pi\) |
−0.977883 | + | 0.209150i | \(0.932930\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 3.19198 | − | 18.1026i | 0.169413 | − | 0.960787i | ||||
\(356\) | 13.9564 | − | 5.07973i | 0.739690 | − | 0.269225i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.272996 | − | 1.54824i | −0.0144283 | − | 0.0818268i | ||||
\(359\) | 2.47257 | + | 4.28262i | 0.130497 | + | 0.226028i | 0.923868 | − | 0.382710i | \(-0.125009\pi\) |
−0.793371 | + | 0.608738i | \(0.791676\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.31282 | − | 16.1303i | 0.490149 | − | 0.848962i | ||||
\(362\) | 1.15907 | + | 0.421865i | 0.0609191 | + | 0.0221728i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.50054 | + | 2.93730i | 0.183478 | + | 0.153956i | ||||
\(365\) | −12.3066 | − | 10.3265i | −0.644158 | − | 0.540513i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.34214 | + | 0.852469i | 0.122259 | + | 0.0444985i | 0.402425 | − | 0.915453i | \(-0.368167\pi\) |
−0.280166 | + | 0.959951i | \(0.590390\pi\) | |||||||
\(368\) | −12.4660 | + | 21.5918i | −0.649837 | + | 1.12555i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.60281 | + | 2.77615i | 0.0833262 | + | 0.144325i | ||||
\(371\) | 4.65513 | + | 26.4006i | 0.241682 | + | 1.37065i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 26.3561 | − | 9.59284i | 1.36467 | − | 0.496698i | 0.447173 | − | 0.894447i | \(-0.352431\pi\) |
0.917494 | + | 0.397749i | \(0.130209\pi\) | |||||||
\(374\) | −0.345983 | + | 1.96217i | −0.0178903 | + | 0.101461i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.582677 | + | 0.488924i | −0.0300493 | + | 0.0252143i | ||||
\(377\) | 5.01234 | 0.258149 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 5.13991 | 0.264019 | 0.132010 | − | 0.991248i | \(-0.457857\pi\) | ||||
0.132010 | + | 0.991248i | \(0.457857\pi\) | |||||||
\(380\) | −3.45025 | + | 2.89510i | −0.176994 | + | 0.148516i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0.359111 | − | 2.03662i | 0.0183737 | − | 0.104202i | ||||
\(383\) | −0.0419788 | + | 0.0152790i | −0.00214502 | + | 0.000780722i | −0.343092 | − | 0.939302i | \(-0.611474\pi\) |
0.340947 | + | 0.940082i | \(0.389252\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.90111 | + | 27.7956i | 0.249784 | + | 1.41659i | ||||
\(386\) | 0.767463 | + | 1.32928i | 0.0390628 | + | 0.0676588i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.934167 | + | 1.61802i | −0.0474251 | + | 0.0821427i | ||||
\(389\) | 19.7169 | + | 7.17636i | 0.999685 | + | 0.363856i | 0.789463 | − | 0.613798i | \(-0.210359\pi\) |
0.210222 | + | 0.977654i | \(0.432581\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 23.1045 | + | 19.3870i | 1.16844 | + | 0.980441i | ||||
\(392\) | −1.15207 | − | 0.966701i | −0.0581883 | − | 0.0488258i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −1.20249 | − | 0.437669i | −0.0605804 | − | 0.0220495i | ||||
\(395\) | −22.0356 | + | 38.1668i | −1.10873 | + | 1.92038i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.00122821 | + | 0.00212731i | 6.16419e−5 | + | 0.000106767i | 0.866056 | − | 0.499947i | \(-0.166647\pi\) |
−0.865995 | + | 0.500053i | \(0.833314\pi\) | |||||||
\(398\) | −0.311896 | − | 1.76885i | −0.0156339 | − | 0.0886645i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −32.1814 | + | 11.7131i | −1.60907 | + | 0.585654i | ||||
\(401\) | −4.38571 | + | 24.8726i | −0.219012 | + | 1.24208i | 0.654795 | + | 0.755807i | \(0.272755\pi\) |
−0.873807 | + | 0.486273i | \(0.838356\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.83940 | + | 3.22164i | −0.191254 | + | 0.160481i | ||||
\(404\) | 11.0485 | 0.549684 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.43513 | −0.170483 | ||||||||
\(407\) | −9.46680 | + | 7.94359i | −0.469252 | + | 0.393749i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −4.04401 | + | 22.9347i | −0.199964 | + | 1.13405i | 0.705207 | + | 0.709001i | \(0.250854\pi\) |
−0.905171 | + | 0.425048i | \(0.860257\pi\) | |||||||
\(410\) | 3.19484 | − | 1.16283i | 0.157782 | − | 0.0574279i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 3.22431 | + | 18.2859i | 0.158850 | + | 0.900884i | ||||
\(413\) | 17.9643 | + | 31.1151i | 0.883965 | + | 1.53107i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 16.8446 | − | 29.1756i | 0.826867 | − | 1.43218i | ||||
\(416\) | 1.46277 | + | 0.532404i | 0.0717181 | + | 0.0261033i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.202011 | + | 0.169507i | 0.00988069 | + | 0.00829088i | ||||
\(419\) | −23.9683 | − | 20.1118i | −1.17093 | − | 0.982524i | −0.170931 | − | 0.985283i | \(-0.554677\pi\) |
−0.999996 | + | 0.00275857i | \(0.999122\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −28.6884 | − | 10.4417i | −1.39819 | − | 0.508899i | −0.470548 | − | 0.882374i | \(-0.655944\pi\) |
−0.927640 | + | 0.373476i | \(0.878166\pi\) | |||||||
\(422\) | −1.80424 | + | 3.12503i | −0.0878289 | + | 0.152124i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.03640 | + | 5.25920i | 0.147461 | + | 0.255409i | ||||
\(425\) | 7.19406 | + | 40.7995i | 0.348963 | + | 1.97907i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −23.3221 | + | 8.48856i | −1.12864 | + | 0.410790i | ||||
\(428\) | 0.437289 | − | 2.47999i | 0.0211372 | − | 0.119875i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.75811 | + | 2.31433i | −0.133008 | + | 0.111607i | ||||
\(431\) | −12.4246 | −0.598474 | −0.299237 | − | 0.954179i | \(-0.596732\pi\) | ||||
−0.299237 | + | 0.954179i | \(0.596732\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −0.760649 | −0.0365545 | −0.0182772 | − | 0.999833i | \(-0.505818\pi\) | ||||
−0.0182772 | + | 0.999833i | \(0.505818\pi\) | |||||||
\(434\) | 2.63128 | − | 2.20790i | 0.126305 | − | 0.105983i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2.53390 | − | 14.3705i | 0.121352 | − | 0.688221i | ||||
\(437\) | 3.75116 | − | 1.36531i | 0.179442 | − | 0.0653116i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.22844 | + | 29.6519i | 0.249540 | + | 1.41521i | 0.809709 | + | 0.586831i | \(0.199625\pi\) |
−0.560170 | + | 0.828378i | \(0.689264\pi\) | |||||||
\(440\) | 3.19685 | + | 5.53711i | 0.152404 | + | 0.263971i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.305914 | − | 0.529859i | 0.0145508 | − | 0.0252028i | ||||
\(443\) | −12.8377 | − | 4.67254i | −0.609937 | − | 0.221999i | 0.0185388 | − | 0.999828i | \(-0.494099\pi\) |
−0.628476 | + | 0.777829i | \(0.716321\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.5790 | − | 18.1069i | −1.02294 | − | 0.858351i | ||||
\(446\) | 3.12432 | + | 2.62162i | 0.147941 | + | 0.124137i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 20.7692 | + | 7.55937i | 0.981253 | + | 0.357147i | ||||
\(449\) | 10.9995 | − | 19.0516i | 0.519097 | − | 0.899102i | −0.480657 | − | 0.876909i | \(-0.659602\pi\) |
0.999754 | − | 0.0221934i | \(-0.00706496\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 6.55346 | + | 11.3509i | 0.308590 | + | 0.534494i | ||||
\(452\) | −3.19931 | − | 18.1442i | −0.150483 | − | 0.853432i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.70413 | − | 0.620254i | 0.0799790 | − | 0.0291100i | ||||
\(455\) | 1.50501 | − | 8.53535i | 0.0705560 | − | 0.400143i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.14051 | + | 0.957000i | −0.0533507 | + | 0.0447666i | −0.669073 | − | 0.743197i | \(-0.733309\pi\) |
0.615722 | + | 0.787963i | \(0.288864\pi\) | |||||||
\(458\) | −2.40132 | −0.112206 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 48.0281 | 2.23932 | ||||||||
\(461\) | −5.44913 | + | 4.57236i | −0.253791 | + | 0.212956i | −0.760803 | − | 0.648983i | \(-0.775195\pi\) |
0.507011 | + | 0.861939i | \(0.330750\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.60875 | + | 26.1375i | −0.214187 | + | 1.21471i | 0.668125 | + | 0.744049i | \(0.267097\pi\) |
−0.882312 | + | 0.470665i | \(0.844014\pi\) | |||||||
\(464\) | 23.5237 | − | 8.56192i | 1.09206 | − | 0.397477i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.228270 | + | 1.29458i | 0.0105744 | + | 0.0599705i | ||||
\(467\) | −13.0760 | − | 22.6482i | −0.605084 | − | 1.04804i | −0.992038 | − | 0.125937i | \(-0.959806\pi\) |
0.386955 | − | 0.922099i | \(-0.373527\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.83760 | − | 3.18282i | 0.0848525 | − | 0.146969i | ||||
\(470\) | 0.672718 | + | 0.244849i | 0.0310302 | + | 0.0112941i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.23479 | + | 5.23161i | 0.286979 | + | 0.240804i | ||||
\(473\) | −10.6328 | − | 8.92201i | −0.488898 | − | 0.410234i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.15260 | + | 1.87539i | 0.236418 | + | 0.0860490i | ||||
\(476\) | 13.8043 | − | 23.9098i | 0.632719 | − | 1.09590i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −1.43213 | − | 2.48052i | −0.0655040 | − | 0.113456i | ||||
\(479\) | −1.80708 | − | 10.2485i | −0.0825675 | − | 0.468264i | −0.997855 | − | 0.0654625i | \(-0.979148\pi\) |
0.915288 | − | 0.402801i | \(-0.131963\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.56599 | − | 1.29791i | 0.162595 | − | 0.0591798i | ||||
\(482\) | −0.436091 | + | 2.47320i | −0.0198634 | + | 0.112651i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.23111 | − | 6.06762i | 0.328687 | − | 0.275801i | ||||
\(485\) | 3.54358 | 0.160906 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −18.4664 | −0.836791 | −0.418396 | − | 0.908265i | \(-0.637407\pi\) | ||||
−0.418396 | + | 0.908265i | \(0.637407\pi\) | |||||||
\(488\) | −4.30689 | + | 3.61391i | −0.194964 | + | 0.163594i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.245792 | + | 1.39396i | −0.0111038 | + | 0.0629725i | ||||
\(491\) | 15.9502 | − | 5.80541i | 0.719824 | − | 0.261995i | 0.0439731 | − | 0.999033i | \(-0.485998\pi\) |
0.675851 | + | 0.737038i | \(0.263776\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −5.25865 | − | 29.8233i | −0.236838 | − | 1.34317i | ||||
\(494\) | −0.0404890 | − | 0.0701289i | −0.00182168 | − | 0.00315525i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −12.5158 | + | 21.6780i | −0.561976 | + | 0.973371i | ||||
\(497\) | 14.0140 | + | 5.10066i | 0.628612 | + | 0.228796i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 18.8801 | + | 15.8423i | 0.845188 | + | 0.709197i | 0.958724 | − | 0.284337i | \(-0.0917735\pi\) |
−0.113537 | + | 0.993534i | \(0.536218\pi\) | |||||||
\(500\) | 22.3416 | + | 18.7468i | 0.999145 | + | 0.838382i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.47132 | − | 0.535517i | −0.0656682 | − | 0.0239013i | ||||
\(503\) | −20.0569 | + | 34.7395i | −0.894291 | + | 1.54896i | −0.0596120 | + | 0.998222i | \(0.518986\pi\) |
−0.834679 | + | 0.550736i | \(0.814347\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.4776 | − | 18.1478i | −0.466248 | − | 0.807564i | ||||
\(506\) | −0.488304 | − | 2.76931i | −0.0217077 | − | 0.123111i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 38.5005 | − | 14.0130i | 1.70818 | − | 0.621728i | ||||
\(509\) | 0.859301 | − | 4.87334i | 0.0380879 | − | 0.216007i | −0.959824 | − | 0.280604i | \(-0.909465\pi\) |
0.997911 | + | 0.0645972i | \(0.0205763\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.98445 | − | 8.37795i | 0.441686 | − | 0.370619i | ||||
\(512\) | 13.0229 | 0.575537 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.67785 | 0.0740066 | ||||||||
\(515\) | 26.9779 | − | 22.6372i | 1.18879 | − | 0.997513i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.479242 | + | 2.71791i | −0.0210770 | + | 0.119534i | ||||
\(518\) | −2.44390 | + | 0.889506i | −0.107379 | + | 0.0390827i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −0.340932 | − | 1.93352i | −0.0149508 | − | 0.0847905i | ||||
\(521\) | −3.86979 | − | 6.70267i | −0.169539 | − | 0.293649i | 0.768719 | − | 0.639586i | \(-0.220894\pi\) |
−0.938258 | + | 0.345937i | \(0.887561\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.0070 | + | 31.1891i | −0.787391 | + | 1.36380i | 0.140169 | + | 0.990128i | \(0.455236\pi\) |
−0.927560 | + | 0.373674i | \(0.878098\pi\) | |||||||
\(524\) | −1.21412 | − | 0.441903i | −0.0530390 | − | 0.0193046i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −3.55851 | − | 2.98595i | −0.155159 | − | 0.130194i | ||||
\(527\) | 23.1967 | + | 19.4644i | 1.01047 | + | 0.847882i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −18.3874 | − | 6.69247i | −0.799453 | − | 0.290977i | ||||
\(530\) | 2.85780 | − | 4.94986i | 0.124135 | − | 0.215008i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.82705 | − | 3.16455i | −0.0792129 | − | 0.137201i | ||||
\(533\) | −0.698901 | − | 3.96367i | −0.0302728 | − | 0.171685i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −4.48820 | + | 1.63357i | −0.194042 | + | 0.0706255i | ||||
\(536\) | 0.144570 | − | 0.819899i | 0.00624448 | − | 0.0354142i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 1.55548 | − | 1.30520i | 0.0670615 | − | 0.0562713i | ||||
\(539\) | −5.45676 | −0.235039 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.4147 | −1.04967 | −0.524834 | − | 0.851204i | \(-0.675873\pi\) | ||||
−0.524834 | + | 0.851204i | \(0.675873\pi\) | |||||||
\(542\) | 0.0191574 | − | 0.0160750i | 0.000822881 | − | 0.000690479i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.63314 | − | 9.26199i | 0.0700203 | − | 0.397105i | ||||
\(545\) | −26.0072 | + | 9.46585i | −1.11403 | + | 0.405473i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.92497 | − | 27.9309i | −0.210577 | − | 1.19424i | −0.888420 | − | 0.459032i | \(-0.848196\pi\) |
0.677843 | − | 0.735207i | \(-0.262915\pi\) | |||||||
\(548\) | 8.45913 | + | 14.6516i | 0.361356 | + | 0.625887i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.93130 | − | 3.34512i | 0.0823511 | − | 0.142636i | ||||
\(551\) | −3.76640 | − | 1.37086i | −0.160454 | − | 0.0584006i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −27.3902 | − | 22.9831i | −1.16475 | − | 0.977340i | ||||
\(554\) | −0.134419 | − | 0.112791i | −0.00571090 | − | 0.00479201i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 24.8924 | + | 9.06010i | 1.05567 | + | 0.384234i | ||||
\(557\) | 18.4687 | − | 31.9887i | 0.782542 | − | 1.35540i | −0.147914 | − | 0.989000i | \(-0.547256\pi\) |
0.930456 | − | 0.366403i | \(-0.119411\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.13113 | + | 3.69123i | 0.0901372 | + | 0.156122i | ||||
\(560\) | −7.51656 | − | 42.6285i | −0.317633 | − | 1.80138i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.47475 | − | 1.62868i | 0.188756 | − | 0.0687016i | ||||
\(563\) | 3.95491 | − | 22.4294i | 0.166680 | − | 0.945287i | −0.780636 | − | 0.624986i | \(-0.785105\pi\) |
0.947316 | − | 0.320301i | \(-0.103784\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −26.7688 | + | 22.4617i | −1.12617 | + | 0.944971i | ||||
\(566\) | −4.63625 | −0.194876 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 3.37833 | 0.141752 | ||||||||
\(569\) | 23.6468 | − | 19.8421i | 0.991327 | − | 0.831822i | 0.00556781 | − | 0.999984i | \(-0.498228\pi\) |
0.985759 | + | 0.168162i | \(0.0537833\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.22626 | − | 12.6257i | 0.0931659 | − | 0.528370i | −0.902128 | − | 0.431468i | \(-0.857996\pi\) |
0.995294 | − | 0.0969016i | \(-0.0308932\pi\) | |||||||
\(572\) | 3.52943 | − | 1.28461i | 0.147573 | − | 0.0537122i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.478981 | + | 2.71644i | 0.0199923 | + | 0.113382i | ||||
\(575\) | −29.2354 | − | 50.6372i | −1.21920 | − | 2.11172i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.7632 | − | 20.3745i | 0.489708 | − | 0.848200i | −0.510222 | − | 0.860043i | \(-0.670437\pi\) |
0.999930 | + | 0.0118433i | \(0.00376992\pi\) | |||||||
\(578\) | −0.710338 | − | 0.258542i | −0.0295462 | − | 0.0107539i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −36.9411 | − | 30.9973i | −1.53390 | − | 1.28709i | ||||
\(581\) | 20.9377 | + | 17.5688i | 0.868641 | + | 0.728877i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 20.7055 | + | 7.53618i | 0.857533 | + | 0.312117i | ||||
\(584\) | 1.47628 | − | 2.55699i | 0.0610888 | − | 0.105809i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.61363 | − | 2.79489i | −0.0666584 | − | 0.115456i | ||||
\(587\) | 1.97741 | + | 11.2144i | 0.0816164 | + | 0.462870i | 0.998036 | + | 0.0626498i | \(0.0199551\pi\) |
−0.916419 | + | 0.400220i | \(0.868934\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.76614 | − | 1.37076i | 0.155181 | − | 0.0564812i | ||||
\(590\) | 1.33018 | − | 7.54383i | 0.0547627 | − | 0.310575i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 14.5187 | − | 12.1826i | 0.596715 | − | 0.500703i | ||||
\(593\) | −37.7324 | −1.54948 | −0.774742 | − | 0.632277i | \(-0.782120\pi\) | ||||
−0.774742 | + | 0.632277i | \(0.782120\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −52.3640 | −2.14672 | ||||||||
\(596\) | −14.5213 | + | 12.1848i | −0.594816 | + | 0.499110i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.149946 | + | 0.850386i | −0.00613175 | + | 0.0347749i | ||||
\(599\) | −44.5021 | + | 16.1975i | −1.81831 | + | 0.661810i | −0.822669 | + | 0.568520i | \(0.807516\pi\) |
−0.995639 | + | 0.0932901i | \(0.970262\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −5.40175 | − | 30.6348i | −0.220342 | − | 1.24962i | −0.871392 | − | 0.490587i | \(-0.836782\pi\) |
0.651050 | − | 0.759035i | \(-0.274329\pi\) | |||||||
\(602\) | −1.46054 | − | 2.52973i | −0.0595271 | − | 0.103104i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −7.02156 | + | 12.1617i | −0.285703 | + | 0.494853i | ||||
\(605\) | −16.8238 | − | 6.12338i | −0.683986 | − | 0.248951i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.5879 | + | 18.9535i | 0.916815 | + | 0.769300i | 0.973403 | − | 0.229098i | \(-0.0735777\pi\) |
−0.0565879 | + | 0.998398i | \(0.518022\pi\) | |||||||
\(608\) | −0.953551 | − | 0.800125i | −0.0386716 | − | 0.0324493i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.97243 | + | 1.80982i | 0.201328 | + | 0.0732773i | ||||
\(611\) | 0.423740 | − | 0.733939i | 0.0171427 | − | 0.0296920i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.05214 | + | 5.28646i | 0.123275 | + | 0.213518i | 0.921057 | − | 0.389427i | \(-0.127327\pi\) |
−0.797782 | + | 0.602945i | \(0.793994\pi\) | |||||||
\(614\) | 1.01493 | + | 5.75593i | 0.0409591 | + | 0.232291i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.87442 | + | 1.77414i | −0.196396 | + | 0.0714823i | ||||
\(617\) | −3.32017 | + | 18.8296i | −0.133665 | + | 0.758052i | 0.842115 | + | 0.539298i | \(0.181310\pi\) |
−0.975780 | + | 0.218754i | \(0.929801\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.17375 | + | 4.34129i | −0.207951 | + | 0.174491i | −0.740814 | − | 0.671710i | \(-0.765560\pi\) |
0.532864 | + | 0.846201i | \(0.321116\pi\) | |||||||
\(620\) | 48.2198 | 1.93655 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.99994 | 0.240576 | ||||||||
\(623\) | 17.5072 | − | 14.6903i | 0.701411 | − | 0.588553i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.82437 | − | 10.3465i | 0.0729749 | − | 0.413861i | ||||
\(626\) | −0.542959 | + | 0.197621i | −0.0217010 | + | 0.00789853i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.62931 | − | 14.9115i | −0.104921 | − | 0.595035i | ||||
\(629\) | −11.4638 | − | 19.8559i | −0.457091 | − | 0.791705i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.228453 | − | 0.395693i | 0.00909458 | − | 0.0157523i | −0.861442 | − | 0.507855i | \(-0.830438\pi\) |
0.870537 | + | 0.492103i | \(0.163772\pi\) | |||||||
\(632\) | −7.61122 | − | 2.77026i | −0.302758 | − | 0.110195i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 4.11207 | + | 3.45044i | 0.163311 | + | 0.137034i | ||||
\(635\) | −59.5282 | − | 49.9501i | −2.36231 | − | 1.98221i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.57458 | + | 0.573102i | 0.0623873 | + | 0.0227071i | ||||
\(638\) | −1.41173 | + | 2.44519i | −0.0558909 | + | 0.0968058i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −9.95805 | − | 17.2479i | −0.393627 | − | 0.681781i | ||||
\(641\) | 0.498549 | + | 2.82741i | 0.0196915 | + | 0.111676i | 0.993069 | − | 0.117531i | \(-0.0374979\pi\) |
−0.973378 | + | 0.229207i | \(0.926387\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.60015 | − | 0.582407i | 0.0631037 | − | 0.0229679i | −0.310275 | − | 0.950647i | \(-0.600421\pi\) |
0.373379 | + | 0.927679i | \(0.378199\pi\) | |||||||
\(644\) | −6.76628 | + | 38.3735i | −0.266629 | + | 1.51213i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.374786 | + | 0.314483i | −0.0147458 | + | 0.0123732i | ||||
\(647\) | −36.1004 | −1.41925 | −0.709626 | − | 0.704579i | \(-0.751136\pi\) | ||||
−0.709626 | + | 0.704579i | \(0.751136\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.5310 | 1.15919 | ||||||||
\(650\) | −0.908615 | + | 0.762419i | −0.0356388 | + | 0.0299045i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −0.358350 | + | 2.03231i | −0.0140341 | + | 0.0795912i | ||||
\(653\) | −40.9405 | + | 14.9011i | −1.60213 | + | 0.583126i | −0.979861 | − | 0.199681i | \(-0.936010\pi\) |
−0.622265 | + | 0.782807i | \(0.713787\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.425533 | + | 2.41332i | 0.0166270 | + | 0.0942962i | ||||
\(656\) | −10.0507 | − | 17.4083i | −0.392412 | − | 0.679678i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.290404 | + | 0.502994i | −0.0113211 | + | 0.0196087i | ||||
\(659\) | 23.9443 | + | 8.71501i | 0.932737 | + | 0.339489i | 0.763294 | − | 0.646051i | \(-0.223581\pi\) |
0.169443 | + | 0.985540i | \(0.445803\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 26.1736 | + | 21.9623i | 1.01803 | + | 0.854233i | 0.989379 | − | 0.145357i | \(-0.0464330\pi\) |
0.0286555 | + | 0.999589i | \(0.490877\pi\) | |||||||
\(662\) | 0.433521 | + | 0.363767i | 0.0168493 | + | 0.0141382i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 5.81819 | + | 2.11765i | 0.225790 | + | 0.0821807i | ||||
\(665\) | −3.46529 | + | 6.00207i | −0.134378 | + | 0.232750i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 21.3702 | + | 37.0143i | 0.827459 | + | 1.43320i | ||||
\(668\) | −2.85794 | − | 16.2082i | −0.110577 | − | 0.627112i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.736322 | + | 0.267999i | −0.0284466 | + | 0.0103537i | ||||
\(671\) | −3.54234 | + | 20.0896i | −0.136751 | + | 0.775551i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −22.6318 | + | 18.9903i | −0.872392 | + | 0.732024i | −0.964600 | − | 0.263716i | \(-0.915052\pi\) |
0.0922084 | + | 0.995740i | \(0.470607\pi\) | |||||||
\(674\) | 1.10113 | 0.0424140 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 24.4577 | 0.940680 | ||||||||
\(677\) | −31.2395 | + | 26.2130i | −1.20063 | + | 1.00745i | −0.201019 | + | 0.979587i | \(0.564425\pi\) |
−0.999612 | + | 0.0278613i | \(0.991130\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.499227 | + | 2.83126i | −0.0191586 | + | 0.108654i | ||||
\(680\) | −11.1467 | + | 4.05707i | −0.427457 | + | 0.155581i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.490253 | − | 2.78036i | −0.0187728 | − | 0.106466i | ||||
\(683\) | 15.8213 | + | 27.4033i | 0.605384 | + | 1.04856i | 0.991991 | + | 0.126312i | \(0.0403139\pi\) |
−0.386606 | + | 0.922245i | \(0.626353\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 16.0441 | − | 27.7891i | 0.613012 | − | 1.06177i | ||||
\(686\) | 2.37015 | + | 0.862664i | 0.0904927 | + | 0.0329367i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 16.3070 | + | 13.6832i | 0.621697 | + | 0.521666i | ||||
\(689\) | −5.18321 | − | 4.34923i | −0.197464 | − | 0.165692i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 26.8609 | + | 9.77656i | 1.02184 | + | 0.371918i | 0.797967 | − | 0.602701i | \(-0.205909\pi\) |
0.223869 | + | 0.974619i | \(0.428131\pi\) | |||||||
\(692\) | 21.5190 | − | 37.2719i | 0.818028 | − | 1.41687i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.760438 | − | 1.31712i | −0.0288658 | − | 0.0499971i | ||||
\(695\) | −8.72449 | − | 49.4791i | −0.330939 | − | 1.87685i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −22.8505 | + | 8.31688i | −0.865523 | + | 0.315024i | ||||
\(698\) | 0.432539 | − | 2.45305i | 0.0163718 | − | 0.0928493i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −41.0011 | + | 34.4040i | −1.54969 | + | 1.30035i | ||||
\(701\) | 7.52982 | 0.284397 | 0.142199 | − | 0.989838i | \(-0.454583\pi\) | ||||
0.142199 | + | 0.989838i | \(0.454583\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.03455 | −0.114450 | ||||||||
\(704\) | 13.9164 | − | 11.6772i | 0.524493 | − | 0.440102i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −0.997241 | + | 5.65564i | −0.0375317 | + | 0.212853i | ||||
\(707\) | 15.9758 | − | 5.81472i | 0.600832 | − | 0.218685i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 1.39161 | + | 7.89224i | 0.0522632 | + | 0.296399i | 0.999725 | − | 0.0234711i | \(-0.00747176\pi\) |
−0.947461 | + | 0.319870i | \(0.896361\pi\) | |||||||
\(710\) | −1.58981 | − | 2.75363i | −0.0596646 | − | 0.103342i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 2.58857 | − | 4.48354i | 0.0970108 | − | 0.168028i | ||||
\(713\) | −40.1601 | − | 14.6171i | −1.50401 | − | 0.547413i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −5.45709 | − | 4.57905i | −0.204084 | − | 0.171247i | ||||
\(716\) | 13.7163 | + | 11.5094i | 0.512603 | + | 0.430125i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.803805 | + | 0.292561i | 0.0299977 | + | 0.0109183i | ||||
\(719\) | 13.4913 | − | 23.3676i | 0.503140 | − | 0.871464i | −0.496854 | − | 0.867834i | \(-0.665511\pi\) |
0.999993 | − | 0.00362928i | \(-0.00115524\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 14.2860 | + | 24.7440i | 0.532037 | + | 0.921515i | ||||
\(722\) | −0.559458 | − | 3.17284i | −0.0208209 | − | 0.118081i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −13.2010 | + | 4.80476i | −0.490610 | + | 0.178568i | ||||
\(725\) | −10.1946 | + | 57.8165i | −0.378618 | + | 2.14725i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −11.2565 | + | 9.44534i | −0.417481 | + | 0.350308i | −0.827204 | − | 0.561902i | \(-0.810070\pi\) |
0.409723 | + | 0.912210i | \(0.365625\pi\) | |||||||
\(728\) | 1.59288 | 0.0590360 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.77889 | −0.102851 | ||||||||
\(731\) | 19.7268 | − | 16.5528i | 0.729623 | − | 0.612227i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.44279 | + | 30.8676i | −0.201034 | + | 1.14012i | 0.702526 | + | 0.711658i | \(0.252056\pi\) |
−0.903560 | + | 0.428462i | \(0.859056\pi\) | |||||||
\(734\) | 0.405134 | − | 0.147457i | 0.0149538 | − | 0.00544272i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 2.30494 | + | 13.0719i | 0.0849610 | + | 0.481838i | ||||
\(737\) | −1.51039 | − | 2.61607i | −0.0556359 | − | 0.0963642i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −0.241454 | + | 0.418211i | −0.00888205 | + | 0.0153842i | −0.870432 | − | 0.492288i | \(-0.836161\pi\) |
0.861550 | + | 0.507672i | \(0.169494\pi\) | |||||||
\(740\) | −34.3081 | − | 12.4871i | −1.26119 | − | 0.459035i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.55223 | + | 2.98068i | 0.130407 | + | 0.109424i | ||||
\(743\) | −32.9788 | − | 27.6725i | −1.20987 | − | 1.01520i | −0.999292 | − | 0.0376288i | \(-0.988020\pi\) |
−0.210582 | − | 0.977576i | \(-0.567536\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 33.7852 | + | 12.2968i | 1.23779 | + | 0.450520i | ||||
\(746\) | 2.42578 | − | 4.20157i | 0.0888140 | − | 0.153830i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −11.3462 | − | 19.6523i | −0.414860 | − | 0.718558i | ||||
\(749\) | −0.672887 | − | 3.81613i | −0.0245867 | − | 0.139438i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −41.2728 | + | 15.0221i | −1.50607 | + | 0.548163i | −0.957623 | − | 0.288024i | \(-0.907002\pi\) |
−0.548443 | + | 0.836188i | \(0.684779\pi\) | |||||||
\(752\) | 0.734985 | − | 4.16831i | 0.0268022 | − | 0.152003i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.664172 | − | 0.557306i | 0.0241877 | − | 0.0202959i | ||||
\(755\) | 26.6350 | 0.969346 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 22.4143 | 0.814661 | 0.407331 | − | 0.913281i | \(-0.366460\pi\) | ||||
0.407331 | + | 0.913281i | \(0.366460\pi\) | |||||||
\(758\) | 0.681075 | − | 0.571490i | 0.0247378 | − | 0.0207575i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −0.272626 | + | 1.54614i | −0.00988920 | + | 0.0560844i | ||||
\(761\) | −9.39386 | + | 3.41909i | −0.340527 | + | 0.123942i | −0.506623 | − | 0.862168i | \(-0.669106\pi\) |
0.166095 | + | 0.986110i | \(0.446884\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.89909 | − | 22.1128i | −0.141157 | − | 0.800538i | ||||
\(764\) | 11.7768 | + | 20.3980i | 0.426069 | + | 0.737972i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.00386367 | + | 0.00669207i | −0.000139600 | + | 0.000241794i | ||||
\(767\) | −8.52136 | − | 3.10152i | −0.307688 | − | 0.111989i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.74242 | − | 4.81846i | −0.207077 | − | 0.173758i | 0.533351 | − | 0.845894i | \(-0.320933\pi\) |
−0.740428 | + | 0.672136i | \(0.765377\pi\) | |||||||
\(770\) | 3.73994 | + | 3.13818i | 0.134778 | + | 0.113092i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −16.4275 | − | 5.97912i | −0.591238 | − | 0.215193i | ||||
\(773\) | −9.91954 | + | 17.1812i | −0.356781 | + | 0.617963i | −0.987421 | − | 0.158112i | \(-0.949459\pi\) |
0.630640 | + | 0.776076i | \(0.282793\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −29.3521 | − | 50.8394i | −1.05436 | − | 1.82620i | ||||
\(776\) | 0.113090 | + | 0.641367i | 0.00405971 | + | 0.0230237i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.41055 | − | 1.24134i |