Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [552,2,Mod(17,552)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(552, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 11, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("552.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 552 = 2^{3} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 552.u (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.40774219157\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 17.14 | ||
Character | \(\chi\) | \(=\) | 552.17 |
Dual form | 552.2.u.a.65.14 |
$q$-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 \(\left(\mathbb{Z}/552\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(185\) | \(277\) | \(415\) |
\(\chi(n)\) | \(e\left(\frac{7}{22}\right)\) | \(-1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.239483 | − | 1.71541i | 0.138266 | − | 0.990395i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.91532 | + | 1.23090i | −0.856559 | + | 0.550477i | −0.893614 | − | 0.448836i | \(-0.851839\pi\) |
0.0370550 | + | 0.999313i | \(0.488202\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.52083 | − | 0.362441i | −0.952786 | − | 0.136990i | −0.351645 | − | 0.936133i | \(-0.614378\pi\) |
−0.601140 | + | 0.799143i | \(0.705287\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.88530 | − | 0.821626i | −0.961765 | − | 0.273875i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.59948 | + | 5.69206i | 0.783772 | + | 1.71622i | 0.693675 | + | 0.720289i | \(0.255991\pi\) |
0.0900976 | + | 0.995933i | \(0.471282\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.468610 | − | 3.25925i | −0.129969 | − | 0.903955i | −0.945588 | − | 0.325366i | \(-0.894513\pi\) |
0.815619 | − | 0.578589i | \(-0.196396\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.65282 | + | 3.58036i | 0.426757 | + | 0.924444i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −0.929854 | + | 1.07311i | −0.225523 | + | 0.260267i | −0.857223 | − | 0.514946i | \(-0.827812\pi\) |
0.631700 | + | 0.775213i | \(0.282357\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.59593 | + | 3.98240i | −1.05438 | + | 0.913624i | −0.996407 | − | 0.0846941i | \(-0.973009\pi\) |
−0.0579714 | + | 0.998318i | \(0.518463\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.22543 | + | 4.23748i | −0.267412 | + | 0.924693i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.945993 | + | 4.70161i | −0.197253 | + | 0.980353i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.0762668 | − | 0.167001i | 0.0152534 | − | 0.0334002i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.10041 | + | 4.75271i | −0.404224 | + | 0.914660i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −2.85836 | − | 2.47678i | −0.530784 | − | 0.459927i | 0.347763 | − | 0.937582i | \(-0.386941\pi\) |
−0.878547 | + | 0.477655i | \(0.841487\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.0411754 | + | 0.0120902i | −0.00739533 | + | 0.00217146i | −0.285428 | − | 0.958400i | \(-0.592136\pi\) |
0.278033 | + | 0.960572i | \(0.410318\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 10.3868 | − | 3.09603i | 1.80811 | − | 0.538949i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 5.27434 | − | 2.40871i | 0.891527 | − | 0.407147i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.178889 | + | 0.278357i | −0.0294092 | + | 0.0457616i | −0.855647 | − | 0.517560i | \(-0.826840\pi\) |
0.826238 | + | 0.563322i | \(0.190477\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.70320 | + | 0.0233237i | −0.913243 | + | 0.00373478i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.34196 | + | 5.20018i | 0.521926 | + | 0.812132i | 0.997725 | − | 0.0674219i | \(-0.0214773\pi\) |
−0.475799 | + | 0.879554i | \(0.657841\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.46419 | − | 4.98657i | 0.223287 | − | 0.760445i | −0.769298 | − | 0.638890i | \(-0.779394\pi\) |
0.992585 | − | 0.121555i | \(-0.0387880\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 6.53762 | − | 1.97784i | 0.974571 | − | 0.294839i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 0.768936i | − | 0.112161i | −0.998426 | − | 0.0560804i | \(-0.982140\pi\) | ||
0.998426 | − | 0.0560804i | \(-0.0178603\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.493210 | − | 0.144820i | −0.0704586 | − | 0.0206885i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.61814 | + | 1.85208i | 0.226585 | + | 0.259343i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 0.207558 | − | 1.44359i | 0.0285102 | − | 0.198293i | −0.970588 | − | 0.240746i | \(-0.922608\pi\) |
0.999098 | + | 0.0424526i | \(0.0135172\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.9852 | − | 7.70244i | −1.61609 | − | 1.03860i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 5.73081 | + | 8.83764i | 0.759065 | + | 1.17057i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −10.4315 | + | 1.49982i | −1.35806 | + | 0.195260i | −0.782578 | − | 0.622553i | \(-0.786096\pi\) |
−0.575484 | + | 0.817813i | \(0.695186\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.49411 | − | 5.08846i | −0.191301 | − | 0.651510i | −0.998153 | − | 0.0607567i | \(-0.980649\pi\) |
0.806852 | − | 0.590754i | \(-0.201170\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 6.97556 | + | 3.11693i | 0.878838 | + | 0.392697i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 4.90937 | + | 5.66572i | 0.608932 | + | 0.702746i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.0939 | + | 5.97976i | 1.59967 | + | 0.730544i | 0.997688 | − | 0.0679663i | \(-0.0216510\pi\) |
0.601981 | + | 0.798510i | \(0.294378\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 7.83865 | + | 2.74873i | 0.943663 | + | 0.330908i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.3469 | − | 4.72526i | −1.22795 | − | 0.560785i | −0.307462 | − | 0.951561i | \(-0.599480\pi\) |
−0.920486 | + | 0.390776i | \(0.872207\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.90704 | − | 5.66303i | −0.574326 | − | 0.662808i | 0.392049 | − | 0.919944i | \(-0.371766\pi\) |
−0.966375 | + | 0.257137i | \(0.917221\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.268211 | − | 0.170823i | −0.0309704 | − | 0.0197250i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.48981 | − | 15.2909i | −0.511662 | − | 1.74256i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −11.8371 | + | 1.70191i | −1.33177 | + | 0.191480i | −0.771184 | − | 0.636613i | \(-0.780335\pi\) |
−0.560591 | + | 0.828093i | \(0.689426\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.64986 | + | 4.74127i | 0.849985 | + | 0.526808i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 12.7060 | + | 8.16565i | 1.39466 | + | 0.896296i | 0.999749 | − | 0.0224213i | \(-0.00713752\pi\) |
0.394915 | + | 0.918717i | \(0.370774\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.460078 | − | 3.19991i | 0.0499025 | − | 0.347079i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4.93324 | + | 4.31012i | −0.528899 | + | 0.462094i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −9.78309 | − | 2.87258i | −1.03701 | − | 0.304492i | −0.281449 | − | 0.959576i | \(-0.590815\pi\) |
−0.755556 | + | 0.655084i | \(0.772633\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 8.38588i | 0.879080i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.0108789 | + | 0.0735284i | 0.00112809 | + | 0.00762454i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.90075 | − | 13.2847i | 0.400208 | − | 1.36298i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.97379 | − | 10.8514i | −0.708081 | − | 1.10180i | −0.989823 | − | 0.142306i | \(-0.954548\pi\) |
0.281741 | − | 0.959490i | \(-0.409088\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −2.82351 | − | 18.5591i | −0.283774 | − | 1.86526i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 8.75508 | − | 13.6232i | 0.871163 | − | 1.35556i | −0.0627397 | − | 0.998030i | \(-0.519984\pi\) |
0.933903 | − | 0.357527i | \(-0.116380\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −11.3103 | + | 5.16522i | −1.11443 | + | 0.508945i | −0.885566 | − | 0.464513i | \(-0.846229\pi\) |
−0.228867 | + | 0.973458i | \(0.573502\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.86882 | − | 9.62454i | −0.279969 | − | 0.939258i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −1.84236 | + | 0.540966i | −0.178108 | + | 0.0522972i | −0.369570 | − | 0.929203i | \(-0.620495\pi\) |
0.191463 | + | 0.981500i | \(0.438677\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.62744 | + | 4.87621i | 0.539011 | + | 0.467056i | 0.881312 | − | 0.472534i | \(-0.156661\pi\) |
−0.342301 | + | 0.939590i | \(0.611206\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.434657 | + | 0.373531i | 0.0412558 | + | 0.0354540i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.19144 | + | 4.79859i | −0.206154 | + | 0.451414i | −0.984262 | − | 0.176717i | \(-0.943452\pi\) |
0.778108 | + | 0.628130i | \(0.216180\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −3.97534 | − | 10.1695i | −0.370703 | − | 0.948313i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −1.32581 | + | 9.78894i | −0.122571 | + | 0.904987i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 2.73295 | − | 2.36811i | 0.250529 | − | 0.217085i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −18.4388 | + | 21.2795i | −1.67626 | + | 1.93450i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 9.72081 | − | 4.48748i | 0.876496 | − | 0.404623i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −1.56059 | − | 10.8541i | −0.139583 | − | 0.970824i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.0542436 | − | 0.118777i | −0.00481334 | − | 0.0105397i | 0.907210 | − | 0.420678i | \(-0.138208\pi\) |
−0.912023 | + | 0.410138i | \(0.865480\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −8.20339 | − | 3.70589i | −0.722268 | − | 0.326286i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.94331 | − | 1.14207i | −0.694010 | − | 0.0997836i | −0.213722 | − | 0.976895i | \(-0.568559\pi\) |
−0.480288 | + | 0.877111i | \(0.659468\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 13.0290 | − | 8.37320i | 1.12975 | − | 0.726049i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.82717 | − | 11.6884i | −0.157258 | − | 1.00598i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 6.51094 | 0.556267 | 0.278134 | − | 0.960542i | \(-0.410284\pi\) | ||||
0.278134 | + | 0.960542i | \(0.410284\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 20.3981 | 1.73014 | 0.865071 | − | 0.501649i | \(-0.167273\pi\) | ||||
0.865071 | + | 0.501649i | \(0.167273\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.31904 | − | 0.184147i | −0.111084 | − | 0.0155080i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 17.3337 | − | 11.1397i | 1.44952 | − | 0.931550i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 8.52337 | + | 1.22548i | 0.707827 | + | 0.101770i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.366541 | + | 0.811378i | −0.0302318 | + | 0.0669213i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 4.75960 | + | 10.4221i | 0.389922 | + | 0.853810i | 0.998194 | + | 0.0600808i | \(0.0191358\pi\) |
−0.608272 | + | 0.793729i | \(0.708137\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.30470 | + | 16.0296i | 0.187554 | + | 1.30447i | 0.838315 | + | 0.545186i | \(0.183541\pi\) |
−0.650761 | + | 0.759283i | \(0.725550\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 3.56460 | − | 2.33224i | 0.288181 | − | 0.188551i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0.0639824 | − | 0.0738397i | 0.00513919 | − | 0.00593095i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.80247 | − | 3.29486i | 0.303471 | − | 0.262959i | −0.489791 | − | 0.871840i | \(-0.662927\pi\) |
0.793261 | + | 0.608881i | \(0.208381\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −2.42666 | − | 0.701764i | −0.192446 | − | 0.0556535i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 4.08875 | − | 11.5091i | 0.322238 | − | 0.907044i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.16824 | − | 17.8859i | 0.639786 | − | 1.40094i | −0.260431 | − | 0.965493i | \(-0.583865\pi\) |
0.900216 | − | 0.435443i | \(-0.143408\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −16.0831 | + | 18.7150i | −1.25207 | + | 1.45696i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 15.0267 | + | 13.0207i | 1.16280 | + | 1.00757i | 0.999781 | + | 0.0209502i | \(0.00666914\pi\) |
0.163021 | + | 0.986623i | \(0.447876\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 2.07026 | − | 0.607884i | 0.159251 | − | 0.0467603i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 16.5327 | − | 7.71425i | 1.26428 | − | 0.589924i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −14.6245 | + | 6.67879i | −1.11188 | + | 0.507779i | −0.884741 | − | 0.466083i | \(-0.845665\pi\) |
−0.227140 | + | 0.973862i | \(0.572937\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.252784 | + | 0.393340i | −0.0191087 | + | 0.0297337i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.0746491 | + | 18.2535i | 0.00561097 | + | 1.37202i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 1.94528 | + | 3.02692i | 0.145397 | + | 0.226243i | 0.906312 | − | 0.422609i | \(-0.138886\pi\) |
−0.760915 | + | 0.648852i | \(0.775249\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 3.03959 | − | 10.3519i | 0.225931 | − | 0.769450i | −0.766019 | − | 0.642818i | \(-0.777765\pi\) |
0.991950 | − | 0.126632i | \(-0.0404167\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.08663 | + | 1.34441i | −0.671703 | + | 0.0993818i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | − | 0.753339i | − | 0.0553866i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.52534 | − | 2.50327i | −0.623435 | − | 0.183057i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 7.01736 | − | 11.2195i | 0.510438 | − | 0.816100i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −3.07920 | + | 21.4163i | −0.222803 | + | 1.54963i | 0.504560 | + | 0.863377i | \(0.331655\pi\) |
−0.727363 | + | 0.686253i | \(0.759254\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.91478 | + | 3.80120i | 0.425755 | + | 0.273616i | 0.735923 | − | 0.677066i | \(-0.236749\pi\) |
−0.310167 | + | 0.950682i | \(0.600385\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 10.8948 | − | 7.06476i | 0.780190 | − | 0.505918i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 1.14464 | − | 0.164574i | 0.0815521 | − | 0.0117254i | −0.101418 | − | 0.994844i | \(-0.532338\pi\) |
0.182970 | + | 0.983118i | \(0.441429\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.73961 | − | 26.3587i | −0.548647 | − | 1.86852i | −0.492924 | − | 0.870072i | \(-0.664072\pi\) |
−0.0557222 | − | 0.998446i | \(-0.517746\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 13.3935 | − | 21.0293i | 0.944707 | − | 1.48329i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 6.30776 | + | 7.27954i | 0.442718 | + | 0.510924i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −12.8019 | − | 5.84641i | −0.894120 | − | 0.408331i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 6.59243 | − | 12.7883i | 0.458206 | − | 0.888846i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −34.6151 | − | 15.8082i | −2.39437 | − | 1.09347i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.60591 | + | 11.0858i | 0.661298 | + | 0.763179i | 0.982989 | − | 0.183666i | \(-0.0587965\pi\) |
−0.321690 | + | 0.946845i | \(0.604251\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −10.5837 | + | 16.6176i | −0.725182 | + | 1.13862i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 3.33359 | + | 11.3532i | 0.227349 | + | 0.774280i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.108178 | − | 0.0155537i | 0.00734363 | − | 0.00105585i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −10.8896 | + | 7.06141i | −0.735851 | + | 0.477166i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.93328 | + | 2.52776i | 0.264581 | + | 0.170036i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.15800 | + | 8.05407i | −0.0775455 | + | 0.539341i | 0.913606 | + | 0.406602i | \(0.133286\pi\) |
−0.991151 | + | 0.132739i | \(0.957623\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.357265 | + | 0.419185i | −0.0238177 | + | 0.0279456i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −10.9368 | − | 3.21133i | −0.725899 | − | 0.213143i | −0.102151 | − | 0.994769i | \(-0.532573\pi\) |
−0.623748 | + | 0.781626i | \(0.714391\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 26.7486i | 1.76760i | 0.467869 | + | 0.883798i | \(0.345022\pi\) | ||||
−0.467869 | + | 0.883798i | \(0.654978\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −27.3055 | + | 4.03998i | −1.79657 | + | 0.265811i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −1.28660 | + | 4.38174i | −0.0842877 | + | 0.287057i | −0.990841 | − | 0.135034i | \(-0.956886\pi\) |
0.906553 | + | 0.422091i | \(0.138704\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.946486 | + | 1.47276i | 0.0617420 | + | 0.0960724i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0.0847078 | + | 20.7131i | 0.00550236 | + | 1.34546i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 0.615846 | − | 0.958275i | 0.0398358 | − | 0.0619857i | −0.820765 | − | 0.571267i | \(-0.806452\pi\) |
0.860600 | + | 0.509281i | \(0.170089\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −5.51291 | + | 2.51766i | −0.355118 | + | 0.162177i | −0.584983 | − | 0.811046i | \(-0.698899\pi\) |
0.229865 | + | 0.973222i | \(0.426171\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 9.96526 | − | 11.9872i | 0.639272 | − | 0.768981i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 1.12292 | − | 0.329718i | 0.0717405 | − | 0.0210649i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 15.1333 | + | 13.1131i | 0.962911 | + | 0.834367i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 17.0503 | − | 19.8405i | 1.08052 | − | 1.25734i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.87201 | + | 10.6682i | −0.307518 | + | 0.673372i | −0.998788 | − | 0.0492258i | \(-0.984325\pi\) |
0.691269 | + | 0.722597i | \(0.257052\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −29.2209 | + | 6.83707i | −1.83710 | + | 0.429843i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.37900 | − | 1.55555i | −0.336846 | − | 0.0974124i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −2.49167 | + | 2.15904i | −0.155426 | + | 0.134677i | −0.729102 | − | 0.684405i | \(-0.760062\pi\) |
0.573676 | + | 0.819082i | \(0.305517\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.551838 | − | 0.636855i | 0.0342895 | − | 0.0395722i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.21222 | + | 9.49475i | 0.384527 | + | 0.587710i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 2.42892 | + | 16.8935i | 0.149774 | + | 1.04170i | 0.916589 | + | 0.399830i | \(0.130931\pi\) |
−0.766816 | + | 0.641867i | \(0.778160\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.37939 | + | 3.02043i | 0.0847350 | + | 0.185544i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.27054 | + | 16.0941i | −0.444950 | + | 0.984945i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 8.11972 | + | 1.16744i | 0.495068 | + | 0.0711801i | 0.385327 | − | 0.922780i | \(-0.374089\pi\) |
0.109741 | + | 0.993960i | \(0.464998\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.31556 | + | 1.48812i | −0.140660 | + | 0.0903970i | −0.609078 | − | 0.793110i | \(-0.708461\pi\) |
0.468418 | + | 0.883507i | \(0.344824\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 14.3853 | + | 2.00828i | 0.870636 | + | 0.121547i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 1.14883 | 0.0692773 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.00330 | 0.0602826 | 0.0301413 | − | 0.999546i | \(-0.490404\pi\) | ||||
0.0301413 | + | 0.999546i | \(0.490404\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0.128737 | − | 0.00105298i | 0.00770728 | − | 6.30401e-5i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.41371 | + | 3.47918i | −0.322955 | + | 0.207550i | −0.692065 | − | 0.721835i | \(-0.743299\pi\) |
0.369110 | + | 0.929386i | \(0.379662\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −19.6434 | − | 2.82430i | −1.16768 | − | 0.167887i | −0.468919 | − | 0.883241i | \(-0.655356\pi\) |
−0.698762 | + | 0.715354i | \(0.746265\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −21.8547 | − | 9.87287i | −1.29456 | − | 0.584818i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −6.53975 | − | 14.3201i | −0.386029 | − | 0.845287i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 2.13242 | + | 14.8313i | 0.125436 | + | 0.872429i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −20.2848 | + | 9.36421i | −1.18912 | + | 0.548940i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −5.08863 | + | 5.87260i | −0.297281 | + | 0.343081i | −0.884665 | − | 0.466228i | \(-0.845613\pi\) |
0.587383 | + | 0.809309i | \(0.300158\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 18.1335 | − | 15.7128i | 1.05577 | − | 0.914834i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −32.5127 | + | 0.398908i | −1.88658 | + | 0.0231470i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 15.7670 | + | 0.880011i | 0.911831 | + | 0.0508924i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.49832 | + | 12.0396i | −0.316918 | + | 0.693953i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −21.2727 | − | 18.2811i | −1.22208 | − | 1.05022i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.12510 | + | 7.90695i | 0.522502 | + | 0.452751i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 25.0001 | − | 7.34069i | 1.42683 | − | 0.418955i | 0.525021 | − | 0.851089i | \(-0.324057\pi\) |
0.901810 | + | 0.432134i | \(0.142239\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 6.15188 | + | 20.6388i | 0.349968 | + | 1.17410i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 7.97874 | − | 3.64377i | 0.452433 | − | 0.206619i | −0.176148 | − | 0.984364i | \(-0.556364\pi\) |
0.628580 | + | 0.777745i | \(0.283636\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 2.78300 | − | 4.33044i | 0.157305 | − | 0.244771i | −0.753651 | − | 0.657274i | \(-0.771709\pi\) |
0.910956 | + | 0.412504i | \(0.135346\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −17.1971 | + | 2.61631i | −0.968947 | + | 0.147412i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −10.0747 | − | 15.6765i | −0.565849 | − | 0.880479i | 0.433941 | − | 0.900941i | \(-0.357123\pi\) |
−0.999791 | + | 0.0204623i | \(0.993486\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.66776 | − | 22.7083i | 0.373323 | − | 1.27142i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.486766 | + | 3.28997i | 0.0271687 | + | 0.183628i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 8.63498i | − | 0.480463i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.580038 | − | 0.170315i | −0.0321747 | − | 0.00944736i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.71240 | − | 8.48563i | 0.537097 | − | 0.469256i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −0.278694 | + | 1.93836i | −0.0153649 | + | 0.106865i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −16.5314 | − | 10.6241i | −0.908650 | − | 0.583954i | 0.000693682 | − | 1.00000i | \(-0.499779\pi\) |
−0.909344 | + | 0.416046i | \(0.863416\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0.744854 | − | 0.656162i | 0.0408177 | − | 0.0359575i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −32.4395 | + | 4.66409i | −1.77236 | + | 0.254827i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 0.751251 | + | 2.55853i | 0.0409233 | + | 0.139372i | 0.977421 | − | 0.211303i | \(-0.0677706\pi\) |
−0.936497 | + | 0.350674i | \(0.885952\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 7.70676 | + | 4.90842i | 0.418574 | + | 0.266589i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.175853 | − | 0.202945i | −0.00952296 | − | 0.0109901i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.4071 | + | 7.94955i | 0.939894 | + | 0.429235i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −18.3970 | + | 4.38393i | −0.990460 | + | 0.236023i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 0.343760 | + | 0.156990i | 0.0184540 | + | 0.00842766i | 0.424621 | − | 0.905371i | \(-0.360407\pi\) |
−0.406167 | + | 0.913799i | \(0.633135\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 12.7674 | + | 14.7344i | 0.683423 | + | 0.788712i | 0.986413 | − | 0.164282i | \(-0.0525306\pi\) |
−0.302991 | + | 0.952993i | \(0.597985\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 16.4746 | + | 4.61860i | 0.879348 | + | 0.246523i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.53147 | + | 25.6498i | 0.400860 | + | 1.36520i | 0.874731 | + | 0.484608i | \(0.161038\pi\) |
−0.473872 | + | 0.880594i | \(0.657144\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 25.6339 | − | 3.68561i | 1.36051 | − | 0.195612i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.40780 | − | 5.25526i | −0.180360 | − | 0.278138i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −5.42548 | − | 3.48675i | −0.286346 | − | 0.184023i | 0.389580 | − | 0.920992i | \(-0.372620\pi\) |
−0.675927 | + | 0.736969i | \(0.736256\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 2.55911 | − | 17.7990i | 0.134690 | − | 0.936790i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 32.0874 | + | 36.7263i | 1.68415 | + | 1.92763i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 16.3692 | + | 4.80644i | 0.856805 | + | 0.251581i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 22.4448i | 1.17161i | 0.810452 | + | 0.585805i | \(0.199222\pi\) | ||||
−0.810452 | + | 0.585805i | \(0.800778\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −5.36992 | − | 17.7499i | −0.279547 | − | 0.924023i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1.04644 | + | 3.56383i | −0.0543283 | + | 0.185025i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.0998 | + | 17.2717i | 0.574728 | + | 0.894294i | 0.999942 | − | 0.0107993i | \(-0.00343758\pi\) |
−0.425214 | + | 0.905093i | \(0.639801\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −18.9931 | + | 0.0776738i | −0.980799 | + | 0.00401106i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −6.73301 | + | 10.4768i | −0.346768 | + | 0.539581i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 30.4955 | − | 13.9268i | 1.56645 | − | 0.715374i | 0.571968 | − | 0.820276i | \(-0.306180\pi\) |
0.994483 | + | 0.104902i | \(0.0334529\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.216742 | + | 0.0646051i | −0.0111040 | + | 0.00330982i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 8.95839 | − | 2.63042i | 0.457753 | − | 0.134408i | −0.0447235 | − | 0.998999i | \(-0.514241\pi\) |
0.502476 | + | 0.864591i | \(0.332422\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 27.4211 | + | 23.7605i | 1.39751 | + | 1.21095i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −8.32172 | + | 13.1847i | −0.423017 | + | 0.670217i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 4.30198 | − | 9.42003i | 0.218119 | − | 0.477614i | −0.768666 | − | 0.639651i | \(-0.779079\pi\) |
0.986785 | + | 0.162036i | \(0.0518062\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.16570 | − | 5.38696i | −0.210669 | − | 0.272430i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −3.86142 | + | 13.3526i | −0.194783 | + | 0.673547i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 20.5769 | − | 17.8300i | 1.03534 | − | 0.897125i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −1.29062 | + | 1.48946i | −0.0647745 | + | 0.0747537i | −0.787212 | − | 0.616682i | \(-0.788476\pi\) |
0.722438 | + | 0.691436i | \(0.243022\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −11.2433 | − | 24.3553i | −0.562869 | − | 1.21929i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −1.38491 | − | 9.63226i | −0.0691591 | − | 0.481012i | −0.994738 | − | 0.102456i | \(-0.967330\pi\) |
0.925578 | − | 0.378556i | \(-0.123579\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.0587003 | + | 0.128536i | 0.00292407 | + | 0.00640282i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −20.4880 | + | 0.335178i | −1.01806 | + | 0.0166551i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −2.04944 | − | 0.294666i | −0.101587 | − | 0.0146060i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.07947 | − | 2.62172i | 0.201717 | − | 0.129635i | −0.435883 | − | 0.900003i | \(-0.643564\pi\) |
0.637600 | + | 0.770368i | \(0.279927\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.55926 | − | 11.1690i | 0.0769127 | − | 0.550925i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 26.8396 | 1.32069 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −34.3872 | −1.68800 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.88500 | − | 34.9912i | 0.239219 | − | 1.71352i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −8.61706 | + | 5.53785i | −0.420971 | + | 0.270541i | −0.733930 | − | 0.679225i | \(-0.762316\pi\) |
0.312959 | + | 0.949767i | \(0.398680\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.2035 | + | 1.75460i | 0.594763 | + | 0.0855141i | 0.433122 | − | 0.901335i | \(-0.357412\pi\) |
0.161642 | + | 0.986850i | \(0.448321\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.631778 | + | 2.21861i | −0.0307181 | + | 0.107872i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0.108293 | + | 0.237129i | 0.00525300 | + | 0.0115025i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1.92213 | + | 13.3687i | 0.0930183 | + | 0.646956i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −14.9581 | − | 32.4023i | −0.722184 | − | 1.56440i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −17.6821 | + | 20.4062i | −0.851717 | + | 0.982934i | −0.999982 | − | 0.00601369i | \(-0.998086\pi\) |
0.148265 | + | 0.988948i | \(0.452631\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 15.7264 | − | 13.6270i | 0.755764 | − | 0.654873i | −0.189240 | − | 0.981931i | \(-0.560603\pi\) |
0.945004 | + | 0.327057i | \(0.106057\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 4.14340 | − | 14.3276i | 0.198661 | − | 0.686957i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −14.3759 | − | 25.3756i | −0.687694 | − | 1.21388i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −14.7120 | + | 32.2149i | −0.702168 | + | 1.53753i | 0.135156 | + | 0.990824i | \(0.456847\pi\) |
−0.837323 | + | 0.546708i | \(0.815881\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.30407 | + | 0.823081i | 0.0620985 | + | 0.0391944i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −19.0113 | − | 16.4734i | −0.903254 | − | 0.782674i | 0.0734428 | − | 0.997299i | \(-0.476601\pi\) |
−0.976696 | + | 0.214626i | \(0.931147\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 22.2737 | − | 6.54014i | 1.05587 | − | 0.310032i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 19.0180 | − | 5.66878i | 0.899522 | − | 0.268124i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −32.7813 | + | 14.9707i | −1.54704 | + | 0.706511i | −0.992108 | − | 0.125383i | \(-0.959984\pi\) |
−0.554935 | + | 0.831894i | \(0.687257\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −20.9124 | + | 32.5404i | −0.984728 | + | 1.53227i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 28.0493 | − | 0.114710i | 1.31787 | − | 0.00538954i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −10.3222 | − | 16.0617i | −0.483913 | − | 0.752983i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 10.7501 | − | 36.6114i | 0.502867 | − | 1.71261i | −0.181429 | − | 0.983404i | \(-0.558072\pi\) |
0.684296 | − | 0.729204i | \(-0.260110\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −3.14710 | − | 6.67330i | −0.146894 | − | 0.311483i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 6.90750i | 0.321714i | 0.986978 | + | 0.160857i | \(0.0514258\pi\) | ||||
−0.986978 | + | 0.160857i | \(0.948574\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 2.65762 | + | 0.780348i | 0.123510 | + | 0.0362658i | 0.342903 | − | 0.939371i | \(-0.388590\pi\) |
−0.219393 | + | 0.975636i | \(0.570408\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −0.111343 | − | 0.127440i | −0.00516341 | − | 0.00590988i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −0.234889 | + | 1.63369i | −0.0108694 | + | 0.0755982i | −0.994534 | − | 0.104412i | \(-0.966704\pi\) |
0.983665 | + | 0.180010i | \(0.0576130\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −30.8401 | − | 19.8197i | −1.42406 | − | 0.915191i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.74143 | − | 7.31189i | −0.218473 | − | 0.336914i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 32.1900 | − | 4.62822i | 1.48010 | − | 0.212806i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.314547 | + | 1.07125i | 0.0144324 | + | 0.0491523i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −1.78496 | + | 3.99466i | −0.0817277 | + | 0.182903i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −13.7520 | − | 15.8707i | −0.628346 | − | 0.725150i | 0.348923 | − | 0.937151i | \(-0.386547\pi\) |
−0.977269 | + | 0.212001i | \(0.932002\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.991066 | + | 0.452604i | 0.0451887 | + | 0.0206370i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −18.7637 | − | 9.77013i | −0.853778 | − | 0.444556i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 26.7142 | + | 12.1999i | 1.21303 | + | 0.553971i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.9286 | − | 12.6122i | −0.495221 | − | 0.571515i | 0.452032 | − | 0.892001i | \(-0.350699\pi\) |
−0.947253 | + | 0.320486i | \(0.896154\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −28.7257 | − | 18.2953i | −1.29902 | − | 0.827342i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.10764 | + | 7.17797i | 0.0951165 | + | 0.323937i | 0.993282 | − | 0.115721i | \(-0.0369178\pi\) |
−0.898165 | + | 0.439658i | \(0.855100\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5.31572 | − | 0.764285i | 0.239408 | − | 0.0344216i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 28.2524 | + | 32.0712i | 1.26985 | + | 1.44149i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 24.3701 | + | 15.6617i | 1.09315 | + | 0.702524i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −2.90071 | + | 20.1749i | −0.129853 | + | 0.903151i | 0.815883 | + | 0.578217i | \(0.196251\pi\) |
−0.945737 | + | 0.324934i | \(0.894658\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 25.9346 | − | 22.6588i | 1.15867 | − | 1.01232i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 2.18885 | + | 0.642704i | 0.0975960 | + | 0.0286568i | 0.330166 | − | 0.943923i | \(-0.392895\pi\) |
−0.232570 | + | 0.972580i | \(0.574713\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 36.8695i | 1.64067i | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −0.546980 | − | 3.69694i | −0.0242922 | − | 0.164187i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.540888 | − | 1.84210i | 0.0239744 | − | 0.0816494i | −0.946637 | − | 0.322302i | \(-0.895543\pi\) |
0.970611 | + | 0.240653i | \(0.0773615\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.3173 | + | 16.0541i | 0.456412 | + | 0.710191i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −9.27385 | − | 30.2078i | −0.409450 | − | 1.33371i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 15.3049 | − | 23.8149i | 0.674416 | − | 1.04941i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.37683 | − | 1.99883i | 0.192493 | − | 0.0879085i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 7.95457 | + | 26.6865i | 0.349167 | + | 1.17141i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 9.06499 | − | 2.66172i | 0.397144 | − | 0.116612i | −0.0770610 | − | 0.997026i | \(-0.524554\pi\) |
0.474205 | + | 0.880414i | \(0.342735\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.6443 | − | 12.6894i | −0.640352 | − | 0.554868i | 0.273013 | − | 0.962010i | \(-0.411980\pi\) |
−0.913365 | + | 0.407142i | \(0.866525\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.614203 | + | 0.527828i | 0.0268060 | + | 0.0230363i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.0253131 | − | 0.0554279i | 0.00110265 | − | 0.00241448i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −21.2102 | − | 8.89537i | −0.922182 | − | 0.386755i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 31.3302 | + | 4.24335i | 1.35961 | + | 0.184146i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 15.3826 | − | 13.3291i | 0.666297 | − | 0.577349i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.86284 | − | 3.30390i | 0.123771 | − | 0.142840i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 5.65829 | − | 2.61207i | 0.244173 | − | 0.112719i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −0.457767 | − | 3.18384i | −0.0197174 | − | 0.137138i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.5895 | − | 34.1362i | −0.670243 | − | 1.46763i | −0.872660 | − | 0.488329i | \(-0.837607\pi\) |
0.202416 | − | 0.979300i | \(-0.435121\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −17.0299 | − | 7.69326i | −0.730821 | − | 0.330150i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −16.7805 | − | 2.41267i | −0.718799 | − | 0.103348i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.9217 | − | 11.5176i | 0.766275 | − | 0.492455i | −0.0981780 | − | 0.995169i | \(-0.531301\pi\) |
0.864453 | + | 0.502714i | \(0.167665\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.130127 | + | 15.9093i | 0.00555368 | + | 0.678993i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 23.0003 | 0.979847 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 30.4561 | 1.29513 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −1.29229 | − | 0.180412i | −0.0548546 | − | 0.00765807i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −37.3757 | + | 24.0199i | −1.58366 | + | 1.01776i | −0.609248 | + | 0.792979i | \(0.708529\pi\) |
−0.974410 | + | 0.224776i | \(0.927835\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −16.9386 | − | 2.43541i | −0.716428 | − | 0.103007i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.33582 | + | 14.0250i | −0.267498 | + | 0.592136i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −0.130393 | − | 0.285522i | −0.00549543 | − | 0.0120333i | 0.906864 | − | 0.421423i | \(-0.138469\pi\) |
−0.912360 | + | 0.409389i | \(0.865742\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.70928 | − | 11.8883i | −0.0719100 | − | 0.500145i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −17.5656 | − | 14.7246i | −0.737686 | − | 0.618374i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 12.0499 | − | 13.9064i | 0.505160 | − | 0.582986i | −0.444693 | − | 0.895683i | \(-0.646687\pi\) |
0.949853 | + | 0.312698i | \(0.101233\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −23.9236 | + | 20.7299i | −1.00117 | + | 0.867519i | −0.991192 | − | 0.132431i | \(-0.957722\pi\) |
−0.00997806 | + | 0.999950i | \(0.503176\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 36.0004 | + | 10.4110i | 1.50394 | + | 0.434924i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.713025 | + | 0.516558i | 0.0297352 | + | 0.0215420i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 10.1638 | − | 22.2557i | 0.423125 | − | 0.926516i | −0.571267 | − | 0.820764i | \(-0.693548\pi\) |
0.994393 | − | 0.105751i | \(-0.0337248\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 7.93713 | − | 9.23598i | 0.329856 | − | 0.383834i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −29.0701 | − | 25.1894i | −1.20603 | − | 1.04503i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.75657 | − | 2.57116i | 0.362660 | − | 0.106487i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −9.50988 | − | 20.3809i | −0.393185 | − | 0.842648i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 30.4536 | − | 13.9077i | 1.25695 | − | 0.574032i | 0.328158 | − | 0.944623i | \(-0.393572\pi\) |
0.928796 | + | 0.370591i | \(0.120845\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.141091 | − | 0.219543i | 0.00581357 | − | 0.00904609i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.00819120 | − | 2.00294i | −0.000336941 | − | 0.0823900i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −4.02638 | − | 6.26518i | −0.165344 | − | 0.257280i | 0.748688 | − | 0.662923i | \(-0.230684\pi\) |
−0.914032 | + | 0.405643i | \(0.867048\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.31956 | + | 7.89970i | −0.0950927 | + | 0.323856i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −47.0696 | + | 6.96418i | −1.92643 | + | 0.285025i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 36.6759i | − | 1.49854i | −0.662267 | − | 0.749268i | \(-0.730405\pi\) | ||
0.662267 | − | 0.749268i | \(-0.269595\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −35.4412 | − | 10.4065i | −1.44568 | − | 0.424489i | −0.537566 | − | 0.843222i | \(-0.680656\pi\) |
−0.908109 | + | 0.418733i | \(0.862474\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −32.8665 | − | 28.0116i | −1.33843 | − | 1.14072i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 9.12326 | − | 63.4536i | 0.370913 | − | 2.57976i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −25.5752 | − | 16.4362i | −1.03806 | − | 0.667124i | −0.0935575 | − | 0.995614i | \(-0.529824\pi\) |
−0.944507 | + | 0.328490i | \(0.893460\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 13.9980 | − | 9.07710i | 0.567229 | − | 0.367823i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −2.50616 | + | 0.360331i | −0.101388 | + | 0.0145774i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 5.81744 | + | 19.8124i | 0.234964 | + | 0.800214i | 0.989572 | + | 0.144038i | \(0.0460088\pi\) |
−0.754608 | + | 0.656176i | \(0.772173\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −13.0949 | + | 20.5604i | −0.528035 | + | 0.829074i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 8.50846 | + | 9.81929i | 0.342538 | + | 0.395310i | 0.900714 | − | 0.434413i | \(-0.143044\pi\) |
−0.558176 | + | 0.829723i | \(0.688499\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.03421 | − | 1.84236i | −0.162149 | − | 0.0740509i | 0.332687 | − | 0.943037i | \(-0.392045\pi\) |
−0.494836 | + | 0.868986i | \(0.664772\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −20.3584 | − | 14.3713i | −0.816955 | − | 0.576702i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 23.6204 | + | 10.7871i | 0.946332 | + | 0.432175i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 16.9506 | + | 19.5620i | 0.678023 | + | 0.782481i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −35.4073 | + | 55.5934i | −1.41403 | + | 2.22019i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.132367 | − | 0.450799i | −0.00527780 | − | 0.0179745i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 19.6316 | − | 2.82260i | 0.781523 | − | 0.112366i | 0.260006 | − | 0.965607i | \(-0.416276\pi\) |
0.521517 | + | 0.853241i | \(0.325366\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 21.3172 | − | 13.8233i | 0.847284 | − | 0.549425i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0.250097 | + | 0.160727i | 0.00992479 | + | 0.00637828i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.240881 | + | 1.67536i | −0.00954403 | + | 0.0663802i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 25.9714 | + | 22.1350i | 1.02741 | + | 0.875648i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 21.8930 | + | 6.42836i | 0.864721 | + | 0.253905i | 0.683868 | − | 0.729605i | \(-0.260296\pi\) |
0.180852 | + | 0.983510i | \(0.442114\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.9469i | 0.983811i | 0.870649 | + | 0.491905i | \(0.163699\pi\) | ||||
−0.870649 | + | 0.491905i | \(0.836301\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 20.2737 | − | 2.99960i | 0.798278 | − | 0.118109i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 8.62999 | − | 29.3911i | 0.339280 | − | 1.15548i | −0.596416 | − | 0.802675i | \(-0.703409\pi\) |
0.935696 | − | 0.352806i | \(-0.114773\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −35.6534 | − | 55.4778i | −1.39952 | − | 2.17770i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.000774140 | − | 0.189296i | −3.03410e−5 | − | 0.00741909i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −21.7560 | + | 33.8530i | −0.851377 | + | 1.32477i | 0.0929193 | + | 0.995674i | \(0.470380\pi\) |
−0.944297 | + | 0.329095i | \(0.893256\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 16.6198 | − | 7.59000i | 0.649389 | − | 0.296566i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 9.50538 | + | 20.3713i | 0.370840 | + | 0.794759i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −30.8064 | + | 9.04556i | −1.20005 | + | 0.352365i | −0.819870 | − | 0.572550i | \(-0.805954\pi\) |
−0.380175 | + | 0.924915i | \(0.624136\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 33.7711 | + | 29.2628i | 1.31354 | + | 1.13819i | 0.980766 | + | 0.195186i | \(0.0625311\pi\) |
0.332777 | + | 0.943006i | \(0.392014\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 5.27812 | − | 6.14184i | 0.204985 | − | 0.238529i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −14.6481 | + | 32.0748i | −0.568028 | + | 1.24381i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 14.3488 | − | 11.0959i | 0.555589 | − | 0.429633i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 13.5388 | + | 3.91527i | 0.523439 | + | 0.151373i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 25.0799 | − | 21.7319i | 0.968200 | − | 0.838950i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −11.7156 | + | 13.5206i | −0.451605 | + | 0.521180i | −0.935204 | − | 0.354110i | \(-0.884784\pi\) |
0.483599 | + | 0.875290i | \(0.339329\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.633517 | + | 0.713245i | 0.0243841 | + | 0.0274528i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −2.29431 | − | 15.9573i | −0.0881775 | − | 0.613288i | −0.985214 | − | 0.171331i | \(-0.945193\pi\) |
0.897036 | − | 0.441957i | \(-0.145716\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.6468 | + | 29.8823i | 0.523715 | + | 1.14678i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −8.12793 | + | 17.9920i | −0.311463 | + | 0.689457i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 2.16970 | + | 0.311955i | 0.0830211 | + | 0.0119366i | 0.183700 | − | 0.982982i | \(-0.441192\pi\) |
−0.100679 | + | 0.994919i | \(0.532102\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −12.4706 | + | 8.01435i | −0.476476 | + | 0.306212i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 45.8849 | + | 6.40584i | 1.75062 | + | 0.244398i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −4.80230 | −0.182953 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.4526 | 0.930220 | 0.465110 | − | 0.885253i | \(-0.346015\pi\) | ||||
0.465110 | + | 0.885253i | \(0.346015\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.391034 | + | 47.8077i | 0.0148541 | + | 1.81607i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −39.0689 | + | 25.1081i | −1.48197 | + | 0.952404i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.68790 | − | 1.24913i | −0.329078 | − | 0.0473142i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 7.20839 | + | 3.25640i | 0.272646 | + | 0.123168i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 15.3838 | + | 33.6859i | 0.581040 | + | 1.27230i | 0.940707 | + | 0.339219i | \(0.110163\pi\) |
−0.359668 | + | 0.933080i | \(0.617110\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −0.286366 | − | 1.99172i | −0.0108005 | − | 0.0751190i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.75306 | − | 1.27091i | 0.103686 | − | 0.0478654i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −27.0077 | + | 31.1686i | −1.01573 | + | 1.17221i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.15993 | − | 1.87159i | 0.0811179 | − | 0.0702890i | −0.613358 | − | 0.789805i | \(-0.710182\pi\) |
0.694476 | + | 0.719516i | \(0.255636\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 35.5518 | + | 4.81512i | 1.33330 | + | 0.180581i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −0.0178917 | − | 0.205028i | −0.000670049 | − | 0.00767836i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −19.4878 | + | 42.6723i | −0.728803 | + | 1.59586i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −1.49635 | − | 1.28592i | −0.0558824 | − | 0.0480237i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −36.3569 | − | 31.5034i | −1.35588 | − | 1.17488i | −0.967350 | − | 0.253445i | \(-0.918436\pi\) |
−0.388533 | − | 0.921435i | \(-0.627018\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 30.3834 | − | 8.92137i | 1.13154 | − | 0.332249i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 2.99858 | + | 10.0599i | 0.111519 | + | 0.374130i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −0.631623 | + | 0.288453i | −0.0234579 | + | 0.0107129i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.85075 | − | 5.99189i | 0.142816 | − | 0.222227i | −0.762475 | − | 0.647018i | \(-0.776016\pi\) |
0.905292 | + | 0.424791i | \(0.139652\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.1766 | − | 19.9653i | −0.673206 | − | 0.739455i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.98965 | + | 6.20802i | 0.147563 | + | 0.229612i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.76835 | − | 23.0509i | 0.249995 | − | 0.851404i | −0.734889 | − | 0.678188i | \(-0.762766\pi\) |
0.984884 | − | 0.173217i | \(-0.0554161\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −0.296683 | − | 2.00523i | −0.0109433 | − | 0.0739640i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 90.0753i | 3.31797i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −31.5653 | − | 9.26842i | −1.16115 | − | 0.340944i | −0.356270 | − | 0.934383i | \(-0.615952\pi\) |
−0.804879 | + | 0.593439i | \(0.797770\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 26.1186 | − | 22.8196i | 0.959491 | − | 0.838298i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −7.08960 | + | 49.3093i | −0.260092 | + | 1.80898i | 0.272002 | + | 0.962297i | \(0.412314\pi\) |
−0.532095 | + | 0.846685i | \(0.678595\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −21.9448 | − | 14.1030i | −0.803994 | − | 0.516695i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −29.9514 | − | 33.9999i | −1.09587 | − | 1.24399i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 4.84035 | − | 0.695938i | 0.176863 | − | 0.0254290i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.90745 | − | 9.90188i | −0.106095 | − | 0.361325i | 0.889284 | − | 0.457356i | \(-0.151203\pi\) |
−0.995378 | + | 0.0960310i | \(0.969385\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 17.1336 | + | 10.9124i | 0.624385 | + | 0.397669i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −24.1451 | − | 27.8650i | −0.878731 | − | 1.01411i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 1.02326 | + | 0.467305i | 0.0371909 | + | 0.0169845i | 0.433924 | − | 0.900950i | \(-0.357129\pi\) |
−0.396733 | + | 0.917934i | \(0.629856\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 4.73049 | + | 51.7634i | 0.171706 | + | 1.87889i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.29130 | − | 2.41646i | −0.191809 | − | 0.0875964i | 0.317195 | − | 0.948360i | \(-0.397259\pi\) |
−0.509004 | + | 0.860764i | \(0.669986\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −12.4185 | − | 14.3317i | −0.449580 | − | 0.518843i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.95659 | + | 8.85468i | −0.143051 | + | 0.320142i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 9.77659 | + | 33.2960i | 0.353012 | + | 1.20225i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.20710 | − | 0.173555i | 0.0435291 | − | 0.00625854i | −0.120516 | − | 0.992711i | \(-0.538455\pi\) |
0.164045 | + | 0.986453i | \(0.447546\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 3.10694 | + | 4.79130i | 0.111894 | + | 0.172554i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −5.09238 | − | 3.27268i | −0.183160 | − | 0.117710i | 0.445848 | − | 0.895109i | \(-0.352902\pi\) |
−0.629008 | + | 0.777399i | \(0.716539\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.00112124 | + | 0.00779842i | −4.02763e−5 | + | 0.000280128i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −0.960314 | − | 1.09915i | −0.0344511 | − | 0.0394317i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −36.0686 | − | 10.5907i | −1.29229 | − | 0.379451i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | − | 71.1782i | − | 2.54696i | ||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 17.7752 | − | 8.38270i | 0.635232 | − | 0.299573i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −3.22731 | + | 10.9912i | −0.115188 | + | 0.392293i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.9360 | − | 20.1288i | −0.461118 | − | 0.717513i | 0.530362 | − | 0.847771i | \(-0.322056\pi\) |
−0.991480 | + | 0.130258i | \(0.958420\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 29.5610 | − | 0.120892i | 1.05240 | − | 0.00430388i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 7.26347 | − | 11.3022i | 0.258259 | − | 0.401860i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.8844 | + | 7.25418i | −0.564073 | + | 0.257603i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 5.51164 | − | 1.64288i | 0.195478 | − | 0.0582668i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 47.2314 | − | 13.8684i | 1.67302 | − | 0.491243i | 0.698514 | − | 0.715597i | \(-0.253845\pi\) |
0.974508 | + | 0.224353i | \(0.0720269\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.825152 | + | 0.714998i | 0.0291918 | + | 0.0252948i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 25.8669 | + | 16.3263i | 0.913963 | + | 0.576861i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 19.4786 | − | 42.6521i | 0.687384 | − | 1.50516i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.33533 | + | 27.0765i | 0.223291 | + | 0.954322i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 3.94718 | − | 13.6491i | 0.138947 | − | 0.480472i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 16.4449 | − | 14.2496i | 0.578173 | − | 0.500990i | −0.315971 | − | 0.948769i | \(-0.602330\pi\) |
0.894144 | + | 0.447779i | \(0.147785\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −18.1693 | + | 20.9684i | −0.638009 | + | 0.736301i | −0.979021 | − | 0.203757i | \(-0.934685\pi\) |
0.341013 | + | 0.940059i | \(0.389230\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.99821 | + | 4.32853i | 0.0700802 | + | 0.151808i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 6.37106 | + | 44.3117i | 0.223169 | + | 1.55217i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 13.1292 | + | 28.7489i | 0.459332 | + | 1.00580i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 6.89006 | − | 24.1958i | 0.240758 | − | 0.845468i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 34.8734 | + | 5.01404i | 1.21709 | + | 0.174991i | 0.720786 | − | 0.693158i | \(-0.243781\pi\) |
0.496304 | + | 0.868149i | \(0.334690\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.36286 | + | 4.73182i | −0.256653 | + | 0.164941i | −0.662640 | − | 0.748938i | \(-0.730564\pi\) |
0.405987 | + | 0.913879i | \(0.366928\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.275127 | − | 1.97073i | 0.00957868 | − | 0.0686119i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −45.3316 | −1.57633 | −0.788167 | − | 0.615462i | \(-0.788969\pi\) | ||||
−0.788167 | + | 0.615462i | \(0.788969\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −48.9886 | −1.70144 | −0.850722 | − | 0.525615i | \(-0.823835\pi\) | ||||
−0.850722 | + | 0.525615i | \(0.823835\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0.240274 | − | 1.72108i | 0.00833502 | − | 0.0597036i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0.614021 | − | 0.394607i | 0.0212746 | − | 0.0136723i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −44.8083 | − | 6.44245i | −1.55065 | − | 0.222950i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0.0290240 | − | 0.221089i | 0.00100322 | − | 0.00764197i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −4.90117 | − | 10.7321i | −0.169207 | − | 0.370512i | 0.805964 | − | 0.591964i | \(-0.201647\pi\) |
−0.975171 | + | 0.221453i | \(0.928920\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.09136 | − | 14.5458i | −0.0721160 | − | 0.501578i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 4.67174 | + | 10.1200i | 0.160903 | + | 0.348550i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −3.21698 | + | 3.71259i | −0.110667 | + | 0.127717i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 54.1938 | − | 46.9592i | 1.86212 | − | 1.61354i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −9.54912 | + | 33.0203i | −0.327725 | + | 1.13325i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −1.13950 | − | 1.10439i | −0.0390615 | − | 0.0378580i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −16.6935 | + | 36.5538i | −0.571576 | + | 1.25158i | 0.374378 | + | 0.927276i | \(0.377856\pi\) |
−0.945954 | + | 0.324301i | \(0.894871\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −22.1699 | + | 35.1254i | −0.758194 | + | 1.20126i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −2.31111 | − | 2.00259i | −0.0789459 | − | 0.0684070i | 0.614494 | − | 0.788922i | \(-0.289360\pi\) |
−0.693440 | + | 0.720515i | \(0.743906\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.34693 | − | 1.27637i | 0.148315 | − | 0.0435493i | −0.206732 | − | 0.978398i | \(-0.566283\pi\) |
0.355048 | + | 0.934848i | \(0.384465\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −26.1310 | + | 7.78897i | −0.890542 | + | 0.265448i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 14.5987 | − | 6.66701i | 0.496946 | − | 0.226948i | −0.151143 | − | 0.988512i | \(-0.548295\pi\) |
0.648090 | + | 0.761564i | \(0.275568\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 19.7897 | − | 30.7934i | 0.672871 | − | 1.04701i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 25.9525 | − | 0.106135i | 0.881393 | − | 0.00360453i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −40.4576 | − | 62.9532i | −1.37243 | − | 2.13554i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 13.3537 | − | 45.4784i | 0.452471 | − | 1.54098i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 11.2056 | + | 37.0394i | 0.379253 | + | 1.25360i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 27.9271i | 0.944109i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −4.85540 | − | 1.42567i | −0.163955 | − | 0.0481416i | 0.198725 | − | 0.980055i | \(-0.436320\pi\) |
−0.362680 | + | 0.931914i | \(0.618138\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 8.85529 | + | 10.1355i | 0.298682 | + | 0.341862i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.85750 | + | 47.6950i | −0.231035 | + | 1.60688i | 0.462607 | + | 0.886564i | \(0.346914\pi\) |
−0.693642 | + | 0.720320i | \(0.743995\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −37.0636 | − | 23.8193i | −1.24729 | − | 0.801583i | −0.260796 | − | 0.965394i | \(-0.583985\pi\) |
−0.986492 | + | 0.163811i | \(0.947621\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −22.6113 | − | 34.8695i | −0.760069 | − | 1.17212i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −1.54899 | + | 0.222712i | −0.0520101 | + | 0.00747792i | −0.168271 | − | 0.985741i | \(-0.553818\pi\) |
0.116261 | + | 0.993219i | \(0.462909\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0.0936894 | + | 0.319077i | 0.00314224 | + | 0.0107015i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −7.10196 | + | 55.8683i | −0.237925 | + | 1.87166i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 3.06221 | + | 3.53397i | 0.102473 | + | 0.118260i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.45170 | − | 3.40308i | −0.249083 | − | 0.113752i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 5.28552 | − | 26.8363i | 0.176479 | − | 0.896036i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 0.147639 | + | 0.0674245i | 0.00492404 | + | 0.00224873i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.35614 | + | 1.56506i | 0.0451794 | + | 0.0521399i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 19.3362 | + | 12.3152i | 0.643469 | + | 0.409824i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 6.92039 | + | 23.5687i | 0.230041 | + | 0.783449i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.3564 | + | 2.20791i | −0.509900 | + | 0.0733125i | −0.392463 | − | 0.919768i | \(-0.628377\pi\) |
−0.117437 | + | 0.993080i | \(0.537468\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −36.4542 | + | 32.1135i | −1.20911 | + | 1.06514i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 9.24946 | + | 5.94427i | 0.306448 | + | 0.196942i | 0.684822 | − | 0.728711i | \(-0.259880\pi\) |
−0.378373 | + | 0.925653i | \(0.623516\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.4504 | + | 93.5497i | −0.445144 | + | 3.09604i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 15.7490 | − | 13.7598i | 0.520646 | − | 0.454884i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 19.6098 | + | 5.75796i | 0.647573 | + | 0.190145i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 31.9646i | 1.05441i | 0.849737 | + | 0.527207i | \(0.176761\pi\) | ||||
−0.849737 | + | 0.527207i | \(0.823239\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.60522 | − | 44.6435i | −0.217650 | − | 1.47105i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −10.5522 | + | 35.9374i | −0.347329 | + | 1.18289i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.0328426 | + | 0.0511041i | 0.00107986 | + | 0.00168029i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 36.8773 | − | 5.61039i | 1.21121 | − | 0.184269i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 3.12129 | − | 4.85682i | 0.102406 | − | 0.159347i | −0.786269 | − | 0.617884i | \(-0.787990\pi\) |
0.888675 | + | 0.458537i | \(0.151626\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.84349 | − | 1.29858i | 0.0931915 | − | 0.0425591i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −4.33980 | − | 14.5595i | −0.142079 | − | 0.476655i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 19.4101 | − | 5.69931i | 0.634777 | − | 0.186387i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.35212 | − | 7.23716i | −0.272852 | − | 0.236428i | 0.507677 | − | 0.861548i | \(-0.330505\pi\) |
−0.780529 | + | 0.625120i | \(0.785050\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −6.76201 | − | 5.81107i | −0.220670 | − | 0.189637i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 22.0278 | − | 48.2342i | 0.718086 | − | 1.57239i | −0.0984812 | − | 0.995139i | \(-0.531398\pi\) |
0.816567 | − | 0.577250i | \(-0.195874\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −27.6107 | + | 10.7932i | −0.899127 | + | 0.351476i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0.369634 | + | 30.1267i | 0.0120242 | + | 0.980023i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −18.7174 | + | 16.2187i | −0.608234 | + | 0.527038i | −0.903617 | − | 0.428341i | \(-0.859098\pi\) |
0.295383 | + | 0.955379i | \(0.404553\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16.1578 | + | 18.6471i | −0.524503 | + | 0.605309i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −29.3044 | + | 13.5280i | −0.950260 | + | 0.438674i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 4.27703 | + | 29.7474i | 0.138546 | + | 0.963612i | 0.933917 | + | 0.357489i | \(0.116367\pi\) |
−0.795371 | + | 0.606123i | \(0.792724\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −20.4638 | − | 44.8094i | −0.662191 | − | 1.45000i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −37.3573 | − | 16.8762i | −1.20759 | − | 0.545531i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −16.4130 | − | 2.35983i | −0.530004 | − | 0.0762030i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.0773 | + | 16.7589i | −0.841204 | + | 0.540609i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 5.76023 | − | 0.0471146i | 0.185621 | − | 0.00151825i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −16.0076 | −0.515304 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 6.84894 | 0.220247 | 0.110124 | − | 0.993918i | \(-0.464875\pi\) | ||||
0.110124 | + | 0.993918i | \(0.464875\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −14.8126 | − | 2.06793i | −0.475848 | − | 0.0664316i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 34.5183 | − | 22.1835i | 1.10774 | − | 0.711904i | 0.146944 | − | 0.989145i | \(-0.453056\pi\) |
0.960800 | + | 0.277241i | \(0.0894200\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −51.4202 | − | 7.39311i | −1.64846 | − | 0.237012i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.431070 | + | 0.954219i | −0.0138053 | + | 0.0305595i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 3.66882 | + | 8.03360i | 0.117376 | + | 0.257017i | 0.959197 | − | 0.282740i | \(-0.0912433\pi\) |
−0.841821 | + | 0.539757i | \(0.818516\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −9.08006 | − | 63.1532i | −0.290200 | − | 2.01838i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.2304 | − | 18.6930i | −0.390487 | − | 0.596820i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 17.6918 | − | 20.4174i | 0.564281 | − | 0.651215i | −0.399869 | − | 0.916572i | \(-0.630944\pi\) |
0.964150 | + | 0.265357i | \(0.0854898\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.98978 | + | 1.72415i | −0.0633996 | + | 0.0549361i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 3.25835 | + | 0.942281i | 0.103714 | + | 0.0299931i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 22.0598 | + | 11.6013i | 0.701460 | + | 0.368900i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.07185 | − | 17.6749i | 0.256411 | − | 0.561461i | −0.737023 | − | 0.675867i | \(-0.763769\pi\) |
0.993434 | + | 0.114406i | \(0.0364965\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −22.1838 | + | 25.8140i | −0.703980 | + | 0.819182i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 47.2689 | + | 40.9587i | 1.49852 | + | 1.29848i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −17.6534 | + | 5.18350i | −0.559088 | + | 0.164163i | −0.549054 | − | 0.835787i | \(-0.685012\pi\) |
−0.0100336 | + | 0.999950i | \(0.503194\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −0.947210 | − | 1.43487i | −0.0299684 | − | 0.0453974i |
(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 | 552.2.u.a.17.14 | yes | 240 | |
3.2 | odd | 2 | inner | 552.2.u.a.17.10 | ✓ | 240 | |
23.19 | odd | 22 | inner | 552.2.u.a.65.10 | yes | 240 | |
69.65 | even | 22 | inner | 552.2.u.a.65.14 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
552.2.u.a.17.10 | ✓ | 240 | 3.2 | odd | 2 | inner | |
552.2.u.a.17.14 | yes | 240 | 1.1 | even | 1 | trivial | |
552.2.u.a.65.10 | yes | 240 | 23.19 | odd | 22 | inner | |
552.2.u.a.65.14 | yes | 240 | 69.65 | even | 22 | inner |