Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(257,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 9, 17]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.257");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.cc (of order \(18\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{18})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + \cdots + 19683 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 641.3 | ||
Root | \(-0.363139 + 1.69356i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.641 |
Dual form | 912.2.cc.c.737.3 |
$q$-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 \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) | \(1\) | \(-1\) | \(1\) |
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 | ||||||||
\(3\) | 1.36678 | + | 1.06392i | 0.789109 | + | 0.614253i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.20556 | + | 2.62849i | −0.986357 | + | 1.17549i | −0.00187711 | + | 0.999998i | \(0.500598\pi\) |
−0.984480 | + | 0.175496i | \(0.943847\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.68651 | − | 2.92113i | −0.637442 | − | 1.10408i | −0.985992 | − | 0.166792i | \(-0.946659\pi\) |
0.348550 | − | 0.937290i | \(-0.386674\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.736160 | + | 2.90828i | 0.245387 | + | 0.969425i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.33635 | − | 1.34889i | −0.704437 | − | 0.406707i | 0.104561 | − | 0.994519i | \(-0.466656\pi\) |
−0.808998 | + | 0.587811i | \(0.799990\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.05419 | + | 0.891189i | −1.40178 | + | 0.247171i | −0.822874 | − | 0.568224i | \(-0.807631\pi\) |
−0.578905 | + | 0.815395i | \(0.696520\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.81100 | + | 1.24602i | −1.50039 | + | 0.321721i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.44531 | − | 3.97095i | −0.350538 | − | 0.963096i | −0.982198 | − | 0.187850i | \(-0.939848\pi\) |
0.631659 | − | 0.775246i | \(-0.282374\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.73048 | − | 3.39772i | 0.626414 | − | 0.779490i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.802750 | − | 5.78684i | 0.175174 | − | 1.26279i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1.69398 | − | 2.01881i | −0.353220 | − | 0.420951i | 0.559952 | − | 0.828525i | \(-0.310819\pi\) |
−0.913172 | + | 0.407574i | \(0.866375\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.17620 | − | 6.67054i | −0.235239 | − | 1.33411i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.08800 | + | 4.75818i | −0.401836 | + | 0.915712i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.54249 | + | 1.28936i | 0.657823 | + | 0.239428i | 0.649296 | − | 0.760536i | \(-0.275064\pi\) |
0.00852691 | + | 0.999964i | \(0.497286\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.78254 | + | 2.76120i | −0.858970 | + | 0.495927i | −0.863667 | − | 0.504062i | \(-0.831838\pi\) |
0.00469717 | + | 0.999989i | \(0.498505\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.75816 | − | 4.32933i | −0.306057 | − | 0.753639i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 11.3979 | + | 2.00975i | 1.92659 | + | 0.339710i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.17636i | 0.850989i | 0.904961 | + | 0.425494i | \(0.139900\pi\) | ||||
−0.904961 | + | 0.425494i | \(0.860100\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −7.85610 | − | 4.15918i | −1.25798 | − | 0.666002i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.289735 | − | 1.64317i | 0.0452490 | − | 0.256620i | −0.953789 | − | 0.300478i | \(-0.902854\pi\) |
0.999038 | + | 0.0438581i | \(0.0139649\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.85806 | − | 1.55910i | −0.283351 | − | 0.237760i | 0.490023 | − | 0.871709i | \(-0.336988\pi\) |
−0.773374 | + | 0.633950i | \(0.781433\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −9.26801 | − | 4.47940i | −1.38159 | − | 0.667749i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −0.0440069 | + | 0.120908i | −0.00641906 | + | 0.0176362i | −0.942861 | − | 0.333187i | \(-0.891876\pi\) |
0.936442 | + | 0.350823i | \(0.114098\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.18866 | + | 3.79087i | −0.312665 | + | 0.541552i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.24935 | − | 6.96509i | 0.314972 | − | 0.975307i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6.53342 | + | 5.48219i | −0.897434 | + | 0.753036i | −0.969687 | − | 0.244350i | \(-0.921425\pi\) |
0.0722533 | + | 0.997386i | \(0.476981\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 8.69853 | − | 3.16600i | 1.17291 | − | 0.426904i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.34685 | − | 1.73892i | 0.973113 | − | 0.230326i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.87665 | + | 1.41099i | −0.504697 | + | 0.183695i | −0.581805 | − | 0.813328i | \(-0.697653\pi\) |
0.0771085 | + | 0.997023i | \(0.475431\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.53369 | − | 2.96512i | 0.452443 | − | 0.379645i | −0.387898 | − | 0.921702i | \(-0.626799\pi\) |
0.840342 | + | 0.542057i | \(0.182354\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 7.25390 | − | 7.05526i | 0.913906 | − | 0.888880i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 8.80484 | − | 15.2504i | 1.09211 | − | 1.89158i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.81629 | + | 10.4852i | −0.466234 | + | 1.28097i | 0.454490 | + | 0.890752i | \(0.349821\pi\) |
−0.920724 | + | 0.390215i | \(0.872401\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −0.167450 | − | 4.56152i | −0.0201586 | − | 0.549143i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −9.91131 | − | 8.31658i | −1.17626 | − | 0.986996i | −0.999996 | − | 0.00265261i | \(-0.999156\pi\) |
−0.176260 | − | 0.984344i | \(-0.556400\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.414656 | + | 2.35163i | −0.0485318 | + | 0.275238i | −0.999411 | − | 0.0343255i | \(-0.989072\pi\) |
0.950879 | + | 0.309563i | \(0.100183\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 5.48930 | − | 10.3685i | 0.633850 | − | 1.19725i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 9.09972i | 1.03701i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.22246 | − | 0.391880i | −0.250046 | − | 0.0440899i | 0.0472200 | − | 0.998885i | \(-0.484964\pi\) |
−0.297266 | + | 0.954795i | \(0.596075\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −7.91614 | + | 4.28191i | −0.879571 | + | 0.475768i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −6.27861 | + | 3.62496i | −0.689167 | + | 0.397891i | −0.803300 | − | 0.595575i | \(-0.796924\pi\) |
0.114133 | + | 0.993465i | \(0.463591\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 13.6253 | + | 4.95920i | 1.47787 | + | 0.537901i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.47002 | + | 5.53118i | 0.372025 | + | 0.593005i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 0.209662 | + | 1.18905i | 0.0222241 | + | 0.126039i | 0.993901 | − | 0.110273i | \(-0.0351724\pi\) |
−0.971677 | + | 0.236312i | \(0.924061\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.1272 | + | 13.2609i | 1.16645 | + | 1.39012i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −9.47436 | − | 1.31428i | −0.982446 | − | 0.136285i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 2.90863 | + | 14.6709i | 0.298419 | + | 1.50520i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 3.13271 | + | 8.60706i | 0.318079 | + | 0.873914i | 0.990959 | + | 0.134163i | \(0.0428346\pi\) |
−0.672880 | + | 0.739751i | \(0.734943\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.20303 | − | 7.78777i | 0.221413 | − | 0.782700i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 5.56915 | − | 0.981991i | 0.554151 | − | 0.0977117i | 0.110442 | − | 0.993883i | \(-0.464773\pi\) |
0.443709 | + | 0.896171i | \(0.353662\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −3.35680 | − | 1.93805i | −0.330755 | − | 0.190961i | 0.325421 | − | 0.945569i | \(-0.394494\pi\) |
−0.656176 | + | 0.754608i | \(0.727827\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 13.4401 | + | 14.8733i | 1.31162 | + | 1.45148i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 3.48940 | + | 6.04382i | 0.337333 | + | 0.584278i | 0.983930 | − | 0.178554i | \(-0.0571419\pi\) |
−0.646597 | + | 0.762832i | \(0.723809\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.68457 | − | 4.39110i | 0.352918 | − | 0.420591i | −0.560155 | − | 0.828388i | \(-0.689258\pi\) |
0.913073 | + | 0.407797i | \(0.133703\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.50722 | + | 7.07493i | −0.522722 | + | 0.671523i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −16.8907 | −1.58895 | −0.794474 | − | 0.607298i | \(-0.792253\pi\) | ||||
−0.794474 | + | 0.607298i | \(0.792253\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 9.04260 | 0.843227 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −6.31251 | − | 14.0429i | −0.583592 | − | 1.29827i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −9.16212 | + | 10.9190i | −0.839890 | + | 1.00094i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1.86097 | − | 3.22329i | −0.169179 | − | 0.293026i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 2.14420 | − | 1.93759i | 0.193336 | − | 0.174707i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.26986 | + | 3.04256i | 0.471351 | + | 0.272134i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.44679 | + | 0.960416i | −0.483324 | + | 0.0852231i | −0.410001 | − | 0.912085i | \(-0.634472\pi\) |
−0.0733234 | + | 0.997308i | \(0.523361\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −0.880802 | − | 4.10776i | −0.0775503 | − | 0.361668i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.04199 | − | 13.8528i | −0.440521 | − | 1.21032i | −0.939150 | − | 0.343506i | \(-0.888385\pi\) |
0.498629 | − | 0.866815i | \(-0.333837\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −14.5302 | − | 2.24577i | −1.25992 | − | 0.194733i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −7.90159 | − | 15.9827i | −0.680061 | − | 1.37557i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.8171 | + | 15.2748i | 1.09503 | + | 1.30501i | 0.948840 | + | 0.315756i | \(0.102258\pi\) |
0.146195 | + | 0.989256i | \(0.453297\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 0.280984 | + | 1.59354i | 0.0238328 | + | 0.135162i | 0.994403 | − | 0.105658i | \(-0.0336948\pi\) |
−0.970570 | + | 0.240820i | \(0.922584\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.188784 | + | 0.118434i | −0.0158984 | + | 0.00997398i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 13.0105 | + | 4.73543i | 1.08799 | + | 0.395997i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −11.2022 | + | 6.46761i | −0.930295 | + | 0.537106i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.02457 | + | 2.85272i | −0.579377 | + | 0.235288i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −23.7332 | − | 4.18480i | −1.94430 | − | 0.342832i | −0.999902 | − | 0.0140170i | \(-0.995538\pi\) |
−0.944394 | − | 0.328815i | \(-0.893351\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − | 14.7053i | − | 1.19670i | −0.801235 | − | 0.598349i | \(-0.795824\pi\) | ||
0.801235 | − | 0.598349i | \(-0.204176\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 10.4846 | − | 7.12660i | 0.847633 | − | 0.576152i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 3.29041 | − | 18.6609i | 0.264292 | − | 1.49888i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 11.7536 | + | 9.86243i | 0.938038 | + | 0.787108i | 0.977243 | − | 0.212124i | \(-0.0680380\pi\) |
−0.0392046 | + | 0.999231i | \(0.512482\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −14.7623 | + | 0.541913i | −1.17073 | + | 0.0429765i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −3.04028 | + | 8.35309i | −0.239607 | + | 0.658316i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −5.96235 | + | 10.3271i | −0.467007 | + | 0.808880i | −0.999290 | − | 0.0376868i | \(-0.988001\pi\) |
0.532283 | + | 0.846567i | \(0.321334\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 15.2573 | + | 4.92729i | 1.18778 | + | 0.383589i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.37759 | − | 1.15593i | 0.106601 | − | 0.0894489i | −0.587929 | − | 0.808912i | \(-0.700057\pi\) |
0.694530 | + | 0.719463i | \(0.255612\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.5346 | − | 4.56221i | 0.964198 | − | 0.350939i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.8916 | + | 5.43971i | 0.909371 | + | 0.415985i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 6.36766 | − | 2.31764i | 0.484124 | − | 0.176207i | −0.0884156 | − | 0.996084i | \(-0.528180\pi\) |
0.572540 | + | 0.819877i | \(0.305958\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −17.5018 | + | 14.6858i | −1.32301 | + | 1.11014i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −6.79969 | − | 2.19593i | −0.511096 | − | 0.165056i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.17879 | − | 12.4340i | 0.536568 | − | 0.929363i | −0.462518 | − | 0.886610i | \(-0.653054\pi\) |
0.999086 | − | 0.0427531i | \(-0.0136129\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.09139 | + | 11.2410i | −0.304111 | + | 0.835537i | 0.689664 | + | 0.724129i | \(0.257758\pi\) |
−0.993775 | + | 0.111408i | \(0.964464\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.98441 | − | 0.293102i | 0.590225 | − | 0.0216667i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −13.6060 | − | 11.4168i | −1.00033 | − | 0.839379i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.97964 | + | 11.2271i | −0.144766 | + | 0.821008i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 17.4207 | − | 1.92542i | 1.26717 | − | 0.140054i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 10.1652i | 0.735526i | 0.929919 | + | 0.367763i | \(0.119876\pi\) | ||||
−0.929919 | + | 0.367763i | \(0.880124\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.3371 | − | 2.17537i | −0.888046 | − | 0.156587i | −0.289027 | − | 0.957321i | \(-0.593332\pi\) |
−0.599019 | + | 0.800734i | \(0.704443\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 28.2595 | − | 11.4763i | 2.02370 | − | 0.821836i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 19.9041 | − | 11.4916i | 1.41811 | − | 0.818744i | 0.421974 | − | 0.906608i | \(-0.361338\pi\) |
0.996132 | + | 0.0878643i | \(0.0280042\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 23.8117 | + | 8.66676i | 1.68797 | + | 0.614370i | 0.994367 | − | 0.105990i | \(-0.0338011\pi\) |
0.693601 | + | 0.720360i | \(0.256023\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −16.3714 | + | 10.2707i | −1.15475 | + | 0.724437i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −2.20807 | − | 12.5226i | −0.154976 | − | 0.878913i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 3.68002 | + | 4.38567i | 0.257024 | + | 0.306309i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 4.62422 | − | 6.41274i | 0.321405 | − | 0.445716i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −10.9625 | + | 4.25515i | −0.758294 | + | 0.294335i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.07273 | + | 11.1897i | 0.280378 | + | 0.770333i | 0.997317 | + | 0.0731972i | \(0.0233202\pi\) |
−0.716939 | + | 0.697136i | \(0.754458\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −4.69840 | − | 21.9117i | −0.321929 | − | 1.50137i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 8.19612 | − | 1.44520i | 0.558971 | − | 0.0985616i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 16.1316 | + | 9.31361i | 1.09509 | + | 0.632249i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −3.06868 | + | 2.77300i | −0.207362 | + | 0.187382i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 10.8437 | + | 18.7819i | 0.729427 | + | 1.26341i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.14222 | + | 9.70352i | −0.545243 | + | 0.649796i | −0.966355 | − | 0.257213i | \(-0.917196\pi\) |
0.421111 | + | 0.907009i | \(0.361640\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 18.5339 | − | 8.33128i | 1.23559 | − | 0.555419i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.77953 | 0.250857 | 0.125428 | − | 0.992103i | \(-0.459970\pi\) | ||||
0.125428 | + | 0.992103i | \(0.459970\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 15.3222 | 1.01252 | 0.506259 | − | 0.862381i | \(-0.331028\pi\) | ||||
0.506259 | + | 0.862381i | \(0.331028\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −9.68135 | + | 12.4373i | −0.636986 | + | 0.818313i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 15.6260 | − | 18.6223i | 1.02369 | − | 1.21999i | 0.0484572 | − | 0.998825i | \(-0.484570\pi\) |
0.975236 | − | 0.221165i | \(-0.0709860\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −0.220745 | − | 0.382341i | −0.0143998 | − | 0.0249412i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.62068 | − | 2.90013i | −0.170232 | − | 0.188384i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.5689 | + | 6.67933i | 0.748332 | + | 0.432050i | 0.825091 | − | 0.565000i | \(-0.191124\pi\) |
−0.0767587 | + | 0.997050i | \(0.524457\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −21.6352 | + | 3.81487i | −1.39365 | + | 0.245737i | −0.819530 | − | 0.573037i | \(-0.805765\pi\) |
−0.574116 | + | 0.818774i | \(0.694654\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −15.3752 | − | 2.56970i | −0.986319 | − | 0.164846i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −5.13702 | − | 14.1138i | −0.328192 | − | 0.901700i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.7723 | + | 19.6061i | −0.685427 | + | 1.24751i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −12.4381 | − | 1.72541i | −0.788234 | − | 0.109344i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.35873 | + | 5.19453i | 0.275121 | + | 0.327876i | 0.885857 | − | 0.463958i | \(-0.153571\pi\) |
−0.610737 | + | 0.791834i | \(0.709127\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.23458 | + | 7.00166i | 0.0776175 | + | 0.440191i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 13.3466 | + | 21.2743i | 0.835794 | + | 1.33225i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 16.7251 | + | 6.08743i | 1.04328 | + | 0.379724i | 0.806123 | − | 0.591747i | \(-0.201562\pi\) |
0.237158 | + | 0.971471i | \(0.423784\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.1208 | − | 8.73000i | 0.939561 | − | 0.542456i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −1.14198 | + | 11.2517i | −0.0706866 | + | 0.696463i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.78041 | − | 0.666587i | −0.233110 | − | 0.0411035i | 0.0558728 | − | 0.998438i | \(-0.482206\pi\) |
−0.288983 | + | 0.957334i | \(0.593317\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | − | 29.2643i | − | 1.79769i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −0.978490 | + | 1.84823i | −0.0598826 | + | 0.113110i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 0.457985 | − | 2.59736i | 0.0279239 | − | 0.158364i | −0.967657 | − | 0.252268i | \(-0.918824\pi\) |
0.995581 | + | 0.0939040i | \(0.0299347\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.7222 | − | 8.99702i | −0.651329 | − | 0.546530i | 0.256145 | − | 0.966638i | \(-0.417548\pi\) |
−0.907474 | + | 0.420108i | \(0.861992\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1.09993 | + | 29.9632i | 0.0665705 | + | 1.81345i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −6.24984 | + | 17.1713i | −0.376880 | + | 1.03547i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −0.166629 | + | 0.288609i | −0.0100117 | + | 0.0173408i | −0.870988 | − | 0.491305i | \(-0.836520\pi\) |
0.860976 | + | 0.508645i | \(0.169854\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −11.5511 | − | 11.8763i | −0.691544 | − | 0.711014i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 1.92247 | − | 1.61315i | 0.114685 | − | 0.0962323i | −0.583642 | − | 0.812011i | \(-0.698373\pi\) |
0.698327 | + | 0.715779i | \(0.253928\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 24.7578 | − | 9.01110i | 1.47170 | − | 0.535655i | 0.523138 | − | 0.852248i | \(-0.324761\pi\) |
0.948561 | + | 0.316594i | \(0.102539\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −11.6332 | + | 23.1464i | −0.689090 | + | 1.37107i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.28855 | + | 1.92487i | −0.312173 | + | 0.113622i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −0.656761 | + | 0.551088i | −0.0386330 | + | 0.0324169i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.87548 | + | 15.0969i | −0.285806 | + | 0.884995i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −6.53329 | + | 11.3160i | −0.381679 | + | 0.661087i | −0.991302 | − | 0.131604i | \(-0.957987\pi\) |
0.609624 | + | 0.792691i | \(0.291321\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 4.84144 | − | 13.3017i | 0.281879 | − | 0.774457i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 11.2966 | − | 8.30030i | 0.655495 | − | 0.481632i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 10.3608 | + | 8.69378i | 0.599183 | + | 0.502775i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.42068 | + | 8.05706i | −0.0818864 | + | 0.464401i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 8.65654 | + | 4.58295i | 0.497305 | + | 0.263284i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 15.8280i | 0.906310i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.06477 | − | 1.24571i | −0.403208 | − | 0.0710964i | −0.0316333 | − | 0.999500i | \(-0.510071\pi\) |
−0.371575 | + | 0.928403i | \(0.621182\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.52607 | − | 6.22023i | −0.143703 | − | 0.353857i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 9.96292 | − | 5.75210i | 0.564945 | − | 0.326171i | −0.190183 | − | 0.981749i | \(-0.560908\pi\) |
0.755128 | + | 0.655577i | \(0.227575\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 16.6644 | + | 6.06533i | 0.941925 | + | 0.342833i | 0.766926 | − | 0.641736i | \(-0.221785\pi\) |
0.174999 | + | 0.984569i | \(0.444008\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 2.54574 | + | 34.6276i | 0.143436 | + | 1.95104i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −5.91797 | − | 33.5625i | −0.332386 | − | 1.88506i | −0.451653 | − | 0.892194i | \(-0.649165\pi\) |
0.119267 | − | 0.992862i | \(-0.461946\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −6.53729 | − | 7.79084i | −0.366018 | − | 0.436203i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.66089 | + | 11.9730i | −0.0927019 | + | 0.668267i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −17.4385 | − | 5.93183i | −0.970307 | − | 0.330056i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 11.8894 | + | 32.6659i | 0.659507 | + | 1.81198i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 9.70775 | − | 2.08158i | 0.536840 | − | 0.115111i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.427405 | − | 0.0753631i | 0.0235636 | − | 0.00415490i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −18.0961 | − | 10.4478i | −0.994652 | − | 0.574263i | −0.0879907 | − | 0.996121i | \(-0.528045\pi\) |
−0.906662 | + | 0.421858i | \(0.861378\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −15.0543 | + | 3.81063i | −0.824970 | + | 0.208821i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −19.1430 | − | 33.1567i | −1.04590 | − | 1.81155i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −19.1366 | + | 22.8061i | −1.04244 | + | 1.24233i | −0.0729092 | + | 0.997339i | \(0.523228\pi\) |
−0.969526 | + | 0.244988i | \(0.921216\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −23.0859 | − | 17.9704i | −1.25385 | − | 0.976016i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 14.8983 | 0.806788 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −8.84639 | −0.477660 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 12.3592 | + | 9.62058i | 0.665398 | + | 0.517955i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −3.49226 | + | 4.16191i | −0.187474 | + | 0.223423i | −0.851592 | − | 0.524204i | \(-0.824363\pi\) |
0.664118 | + | 0.747628i | \(0.268807\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.07643 | − | 13.9888i | −0.432322 | − | 0.748803i | 0.564751 | − | 0.825261i | \(-0.308972\pi\) |
−0.997073 | + | 0.0764582i | \(0.975639\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 6.31270 | − | 25.9095i | 0.336947 | − | 1.38295i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 18.1153 | + | 10.4589i | 0.964180 | + | 0.556670i | 0.897457 | − | 0.441102i | \(-0.145412\pi\) |
0.0667232 | + | 0.997772i | \(0.478746\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 43.7200 | − | 7.70902i | 2.32042 | − | 0.409152i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −24.1395 | + | 5.17608i | −1.27760 | + | 0.273947i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.05343 | − | 22.1266i | −0.425044 | − | 1.16780i | −0.948785 | − | 0.315921i | \(-0.897686\pi\) |
0.523741 | − | 0.851877i | \(-0.324536\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −4.08900 | − | 18.5548i | −0.215211 | − | 0.976568i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0.885785 | − | 6.38543i | 0.0464917 | − | 0.335148i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.26668 | − | 6.27659i | −0.275671 | − | 0.328532i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.11469 | − | 17.6643i | −0.162586 | − | 0.922069i | −0.951519 | − | 0.307590i | \(-0.900477\pi\) |
0.788933 | − | 0.614479i | \(-0.210634\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.99208 | − | 0.367005i | 0.259877 | − | 0.0191055i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 27.0329 | + | 9.83916i | 1.40348 | + | 0.510824i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 12.2615 | − | 7.07917i | 0.634876 | − | 0.366546i | −0.147762 | − | 0.989023i | \(-0.547207\pi\) |
0.782638 | + | 0.622477i | \(0.213874\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 3.96570 | + | 9.76519i | 0.204788 | + | 0.504272i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −19.0534 | − | 3.35964i | −0.981303 | − | 0.173030i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.25595i | 0.0645137i | 0.999480 | + | 0.0322569i | \(0.0102695\pi\) | ||||
−0.999480 | + | 0.0322569i | \(0.989731\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −8.46635 | − | 4.48226i | −0.433744 | − | 0.229633i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −0.465296 | + | 2.63882i | −0.0237755 | + | 0.134838i | −0.994385 | − | 0.105822i | \(-0.966253\pi\) |
0.970610 | + | 0.240660i | \(0.0773637\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −23.9185 | − | 20.0700i | −1.21900 | − | 1.02286i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 3.16645 | − | 6.55149i | 0.160960 | − | 0.333031i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 11.2472 | − | 30.9013i | 0.570253 | − | 1.56676i | −0.233852 | − | 0.972272i | \(-0.575133\pi\) |
0.804106 | − | 0.594486i | \(-0.202645\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.56827 | + | 9.64452i | −0.281599 | + | 0.487744i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 7.84692 | − | 24.2979i | 0.395825 | − | 1.22567i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 5.93183 | − | 4.97739i | 0.298463 | − | 0.250440i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.19998 | + | 0.800726i | −0.110414 | + | 0.0401873i | −0.396636 | − | 0.917976i | \(-0.629823\pi\) |
0.286223 | + | 0.958163i | \(0.407600\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −17.4702 | − | 18.5284i | −0.874603 | − | 0.927578i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 12.8782 | − | 4.68726i | 0.643104 | − | 0.234071i | 0.000179351 | − | 1.00000i | \(-0.499943\pi\) |
0.642925 | + | 0.765929i | \(0.277721\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 21.7111 | − | 18.2178i | 1.08151 | − | 0.907492i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.20459 | − | 30.2515i | 0.308308 | − | 1.50321i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 6.98237 | − | 12.0938i | 0.346103 | − | 0.599468i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.27394 | − | 19.9850i | 0.359673 | − | 0.988194i | −0.619470 | − | 0.785020i | \(-0.712652\pi\) |
0.979143 | − | 0.203173i | \(-0.0651254\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 1.26696 | + | 34.5135i | 0.0624947 | + | 1.70243i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 10.6597 | + | 8.94454i | 0.524529 | + | 0.440132i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 4.31971 | − | 24.4983i | 0.212046 | − | 1.20257i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.31135 | + | 2.47696i | −0.0642173 | + | 0.121297i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 29.1990i | 1.42646i | 0.700928 | + | 0.713232i | \(0.252770\pi\) | ||||
−0.700928 | + | 0.713232i | \(0.747230\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 7.45681 | + | 1.31484i | 0.363423 | + | 0.0640812i | 0.352378 | − | 0.935858i | \(-0.385373\pi\) |
0.0110448 | + | 0.999939i | \(0.496484\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −0.384029 | − | 0.0389766i | −0.0186722 | − | 0.00189511i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −24.7884 | + | 14.3116i | −1.20241 | + | 0.694214i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −14.6211 | − | 5.32165i | −0.707565 | − | 0.257533i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 12.7443 | + | 20.3144i | 0.615302 | + | 0.980787i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 4.16028 | + | 23.5941i | 0.200394 | + | 1.13649i | 0.904526 | + | 0.426419i | \(0.140225\pi\) |
−0.704132 | + | 0.710069i | \(0.748664\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.89407 | − | 11.7913i | −0.475479 | − | 0.566654i | 0.473984 | − | 0.880534i | \(-0.342816\pi\) |
−0.949463 | + | 0.313880i | \(0.898371\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −22.1920 | − | 3.07847i | −1.06402 | − | 0.147601i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −11.4847 | + | 0.243366i | −0.549389 | + | 0.0116418i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7.60564 | + | 20.8963i | 0.362997 | + | 0.997327i | 0.977964 | + | 0.208774i | \(0.0669472\pi\) |
−0.614967 | + | 0.788553i | \(0.710831\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12.6361 | − | 3.57454i | −0.601718 | − | 0.170216i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −30.8547 | + | 5.44051i | −1.46595 | + | 0.258486i | −0.848948 | − | 0.528476i | \(-0.822764\pi\) |
−0.617001 | + | 0.786963i | \(0.711652\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −3.58782 | − | 2.07143i | −0.170079 | − | 0.0981952i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −27.9857 | − | 30.9698i | −1.32368 | − | 1.46482i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −6.15216 | − | 10.6559i | −0.290338 | − | 0.502881i | 0.683551 | − | 0.729902i | \(-0.260435\pi\) |
−0.973890 | + | 0.227022i | \(0.927101\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −2.89339 | + | 3.44820i | −0.136244 | + | 0.162370i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 15.6452 | − | 20.0988i | 0.735076 | − | 0.944326i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −59.3979 | −2.78462 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −37.8216 | −1.76922 | −0.884609 | − | 0.466334i | \(-0.845575\pi\) | ||||
−0.884609 | + | 0.466334i | \(0.845575\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 21.9123 | + | 1.41431i | 1.02278 | + | 0.0660142i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −24.9818 | + | 29.7722i | −1.16352 | + | 1.38663i | −0.255970 | + | 0.966685i | \(0.582395\pi\) |
−0.907550 | + | 0.419945i | \(0.862050\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −12.3259 | − | 21.3492i | −0.572835 | − | 0.992180i | −0.996273 | − | 0.0862548i | \(-0.972510\pi\) |
0.423438 | − | 0.905925i | \(-0.360823\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 24.3509 | − | 22.0045i | 1.12924 | − | 1.02043i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −3.17931 | − | 1.83558i | −0.147121 | − | 0.0849404i | 0.424632 | − | 0.905366i | \(-0.360403\pi\) |
−0.571754 | + | 0.820425i | \(0.693737\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 37.0647 | − | 6.53551i | 1.71149 | − | 0.301782i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 5.57172 | + | 25.9846i | 0.256731 | + | 1.19731i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 2.23803 | + | 6.14892i | 0.102905 | + | 0.282728i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −25.8762 | − | 14.2174i | −1.18728 | − | 0.652337i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −20.7534 | − | 14.9652i | −0.950231 | − | 0.685210i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 16.6874 | + | 19.8872i | 0.762465 | + | 0.908670i | 0.998001 | − | 0.0631952i | \(-0.0201291\pi\) |
−0.235536 | + | 0.971866i | \(0.575685\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.61312 | − | 26.1623i | −0.210340 | − | 1.19290i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −13.0424 | + | 8.18221i | −0.593449 | + | 0.372304i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −29.5329 | − | 10.7491i | −1.34102 | − | 0.488092i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −8.59327 | + | 4.96133i | −0.389398 | + | 0.224819i | −0.681899 | − | 0.731446i | \(-0.738846\pi\) |
0.292501 | + | 0.956265i | \(0.405512\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −19.1364 | + | 7.77138i | −0.865376 | + | 0.351434i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −14.8971 | − | 2.62676i | −0.672296 | − | 0.118544i | −0.172929 | − | 0.984934i | \(-0.555323\pi\) |
−0.499367 | + | 0.866391i | \(0.666434\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 15.9305i | − | 0.717476i | ||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 15.6111 | + | 22.9670i | 0.701668 | + | 1.03229i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −7.57822 | + | 42.9782i | −0.339930 | + | 1.92784i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −16.3136 | − | 13.6887i | −0.730296 | − | 0.612791i | 0.199917 | − | 0.979813i | \(-0.435933\pi\) |
−0.930212 | + | 0.367022i | \(0.880377\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.11268 | − | 0.114264i | 0.139064 | − | 0.00510494i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.99181 | − | 5.47245i | 0.0888104 | − | 0.244004i | −0.887334 | − | 0.461128i | \(-0.847445\pi\) |
0.976144 | + | 0.217123i | \(0.0696673\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.70195 | + | 16.8043i | −0.431731 | + | 0.747780i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 21.9858 | + | 7.10023i | 0.976423 | + | 0.315332i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −10.9586 | + | 9.19535i | −0.485731 | + | 0.407577i | −0.852493 | − | 0.522738i | \(-0.824911\pi\) |
0.366763 | + | 0.930315i | \(0.380466\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.56874 | − | 2.75480i | 0.334821 | − | 0.121865i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 10.4657 | + | 20.0865i | 0.462073 | + | 0.886842i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 12.4977 | − | 4.54881i | 0.550717 | − | 0.200444i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.265908 | − | 0.223123i | 0.0116946 | − | 0.00981294i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 11.1690 | + | 3.60697i | 0.490263 | + | 0.158328i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −5.93133 | + | 10.2734i | −0.259856 | + | 0.450084i | −0.966203 | − | 0.257781i | \(-0.917009\pi\) |
0.706347 | + | 0.707866i | \(0.250342\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.6971 | + | 29.3899i | −0.467750 | + | 1.28513i | 0.451787 | + | 0.892126i | \(0.350787\pi\) |
−0.919536 | + | 0.393005i | \(0.871435\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −39.5455 | + | 1.45169i | −1.72591 | + | 0.0633568i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 17.8768 | + | 15.0004i | 0.778727 | + | 0.653430i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.78789 | − | 15.8109i | 0.121213 | − | 0.687431i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −6.95737 | − | 10.2357i | −0.301924 | − | 0.444190i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 8.56309i | 0.370909i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −23.5822 | − | 4.15817i | −1.01955 | − | 0.179774i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 23.0406 | − | 9.35691i | 0.994275 | − | 0.403780i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 10.2270 | − | 5.90454i | 0.440506 | − | 0.254326i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −26.2388 | − | 9.55016i | −1.12810 | − | 0.410593i | −0.290495 | − | 0.956876i | \(-0.593820\pi\) |
−0.837601 | + | 0.546283i | \(0.816042\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −17.5515 | + | 11.0110i | −0.753207 | + | 0.472529i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.41540 | + | 19.3697i | 0.146300 | + | 0.829706i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −12.0859 | − | 14.4034i | −0.516757 | − | 0.615847i | 0.443054 | − | 0.896495i | \(-0.353895\pi\) |
−0.959811 | + | 0.280648i | \(0.909451\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 11.2248 | + | 8.09415i | 0.479061 | + | 0.345450i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 14.0536 | − | 8.51581i | 0.598702 | − | 0.362786i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.60348 | + | 7.15300i | 0.110711 | + | 0.304177i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −6.44985 | − | 30.0799i | −0.273781 | − | 1.27682i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −22.6372 | + | 3.99155i | −0.959170 | + | 0.169128i | −0.631251 | − | 0.775578i | \(-0.717458\pi\) |
−0.327919 | + | 0.944706i | \(0.606347\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 10.7804 | + | 6.22408i | 0.455963 | + | 0.263250i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −14.6504 | + | 13.2388i | −0.618542 | + | 0.558942i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −6.45057 | − | 11.1727i | −0.271859 | − | 0.470874i | 0.697479 | − | 0.716605i | \(-0.254305\pi\) |
−0.969338 | + | 0.245732i | \(0.920972\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 37.2536 | − | 44.3971i | 1.56727 | − | 1.86780i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 25.8587 | + | 15.9025i | 1.08596 | + | 0.667844i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −37.8380 | −1.58625 | −0.793125 | − | 0.609059i | \(-0.791547\pi\) | ||||
−0.793125 | + | 0.609059i | \(0.791547\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −20.7087 | −0.866632 | −0.433316 | − | 0.901242i | \(-0.642657\pi\) | ||||
−0.433316 | + | 0.901242i | \(0.642657\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −10.8149 | + | 13.8935i | −0.451799 | + | 0.580411i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −11.4741 | + | 13.6743i | −0.478503 | + | 0.570258i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −8.69281 | − | 15.0564i | −0.361886 | − | 0.626805i | 0.626385 | − | 0.779514i | \(-0.284534\pi\) |
−0.988271 | + | 0.152708i | \(0.951200\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −14.5477 | − | 16.0989i | −0.604582 | − | 0.669049i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 21.1779 | + | 12.2271i | 0.878608 | + | 0.507265i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 22.6593 | − | 3.99544i | 0.938451 | − | 0.165474i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 50.8342 | + | 14.3802i | 2.10174 | + | 0.594546i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 10.0782 | + | 27.6896i | 0.415971 | + | 1.14287i | 0.953964 | + | 0.299922i | \(0.0969607\pi\) |
−0.537992 | + | 0.842950i | \(0.680817\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −3.67683 | + | 23.7891i | −0.151501 | + | 0.980214i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 39.4306 | + | 5.46980i | 1.62196 | + | 0.224998i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.16230 | − | 9.72745i | −0.335185 | − | 0.399458i | 0.571956 | − | 0.820284i | \(-0.306185\pi\) |
−0.907141 | + | 0.420826i | \(0.861740\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.49279 | − | 48.1650i | −0.348170 | − | 1.97457i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 23.3246 | + | 37.1792i | 0.954612 | + | 1.52164i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.8817 | + | 6.14443i | 0.689767 | + | 0.251055i | 0.663035 | − | 0.748588i | \(-0.269268\pi\) |
0.0267313 | + | 0.999643i | \(0.491490\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 8.14038 | − | 4.69985i | 0.332053 | − | 0.191711i | −0.324699 | − | 0.945817i | \(-0.605263\pi\) |
0.656752 | + | 0.754106i | \(0.271930\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −33.3031 | − | 3.38006i | −1.35621 | − | 0.137647i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 12.5768 | + | 2.21764i | 0.511321 | + | 0.0901597i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 9.88885i | 0.401376i | 0.979655 | + | 0.200688i | \(0.0643177\pi\) | ||||
−0.979655 | + | 0.200688i | \(0.935682\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 10.3050 | − | 19.4648i | 0.417582 | − | 0.788752i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.114667 | − | 0.650309i | 0.00463893 | − | 0.0263087i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −24.8777 | − | 20.8749i | −1.00480 | − | 0.843129i | −0.0171592 | − | 0.999853i | \(-0.505462\pi\) |
−0.987642 | + | 0.156724i | \(0.949907\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0.363769 | + | 9.90947i | 0.0146686 | + | 0.399589i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.64721 | − | 21.0105i | 0.307865 | − | 0.845852i | −0.685207 | − | 0.728348i | \(-0.740288\pi\) |
0.993072 | − | 0.117504i | \(-0.0374893\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.39662 | − | 16.2754i | 0.377682 | − | 0.654164i | −0.613043 | − | 0.790050i | \(-0.710055\pi\) |
0.990725 | + | 0.135886i | \(0.0433880\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 13.1429 | − | 3.84500i | 0.527406 | − | 0.154295i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 3.11977 | − | 2.61780i | 0.124991 | − | 0.104880i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 12.2044 | − | 4.44205i | 0.488178 | − | 0.177682i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −19.5105 | − | 5.84738i | −0.779173 | − | 0.233522i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 20.5551 | − | 7.48143i | 0.819584 | − | 0.298304i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 22.1517 | − | 18.5875i | 0.881846 | − | 0.739956i | −0.0847122 | − | 0.996405i | \(-0.526997\pi\) |
0.966558 | + | 0.256449i | \(0.0825526\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −6.33844 | + | 19.6269i | −0.251930 | + | 0.780100i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 9.48879 | − | 16.4351i | 0.376551 | − | 0.652206i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 7.68350 | − | 21.1102i | 0.304431 | − | 0.836418i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 16.8906 | − | 34.9472i | 0.668182 | − | 1.38249i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 18.2950 | + | 15.3513i | 0.722609 | + | 0.606341i | 0.928106 | − | 0.372317i | \(-0.121437\pi\) |
−0.205497 | + | 0.978658i | \(0.565881\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −6.83453 | + | 38.7606i | −0.269528 | + | 1.52857i | 0.486297 | + | 0.873793i | \(0.338347\pi\) |
−0.755825 | + | 0.654774i | \(0.772764\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 12.7398 | + | 6.74473i | 0.501631 | + | 0.265574i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − | 24.3840i | − | 0.958633i | −0.877642 | − | 0.479317i | \(-0.840885\pi\) | ||
0.877642 | − | 0.479317i | \(-0.159115\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 10.9605 | + | 1.93263i | 0.430237 | + | 0.0758624i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 12.1395 | + | 29.8924i | 0.475783 | + | 1.17157i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 20.0643 | − | 11.5841i | 0.785178 | − | 0.453323i | −0.0530845 | − | 0.998590i | \(-0.516905\pi\) |
0.838262 | + | 0.545268i | \(0.183572\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 47.5322 | + | 17.3003i | 1.85724 | + | 0.675979i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −7.14445 | + | 0.525242i | −0.278731 | + | 0.0204916i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −3.15401 | − | 17.8873i | −0.122863 | − | 0.696790i | −0.982554 | − | 0.185976i | \(-0.940455\pi\) |
0.859691 | − | 0.510814i | \(-0.170656\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.4662 | + | 26.7742i | 0.873835 | + | 1.04140i | 0.998787 | + | 0.0492336i | \(0.0156779\pi\) |
−0.124952 | + | 0.992163i | \(0.539878\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −5.16141 | + | 37.2074i | −0.200453 | + | 1.44502i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 37.9501 | − | 33.2391i | 1.47164 | − | 1.28896i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.39794 | − | 9.33576i | −0.131569 | − | 0.361482i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −21.4523 | + | 4.59990i | −0.829395 | + | 0.177842i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −12.2556 | + | 2.16099i | −0.473122 | + | 0.0834242i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.97335 | − | 5.18077i | −0.345897 | − | 0.199704i | 0.316980 | − | 0.948432i | \(-0.397331\pi\) |
−0.662877 | + | 0.748729i | \(0.730665\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 34.1955 | + | 8.33153i | 1.31619 | + | 0.320681i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 2.66151 | + | 4.60988i | 0.102290 | + | 0.177172i | 0.912628 | − | 0.408791i | \(-0.134050\pi\) |
−0.810338 | + | 0.585963i | \(0.800716\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 19.8590 | − | 23.6670i | 0.762117 | − | 0.908255i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 5.16578 | + | 4.02111i | 0.197953 | + | 0.154089i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −29.5958 | −1.13245 | −0.566226 | − | 0.824250i | \(-0.691597\pi\) | ||||
−0.566226 | + | 0.824250i | \(0.691597\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −68.4183 | −2.61413 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 20.9420 | + | 16.3015i | 0.798987 | + | 0.621942i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 28.1354 | − | 33.5305i | 1.07187 | − | 1.27741i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −9.35680 | − | 16.2065i | −0.355950 | − | 0.616523i | 0.631330 | − | 0.775514i | \(-0.282509\pi\) |
−0.987280 | + | 0.158991i | \(0.949176\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −26.4645 | + | 6.69885i | −1.00530 | + | 0.254468i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −4.80833 | − | 2.77609i | −0.182390 | − | 0.105303i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.94369 | + | 1.22436i | −0.263011 | + | 0.0463760i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 41.1699 | − | 8.82782i | 1.55719 | − | 0.333899i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −9.40339 | − | 25.8356i | −0.355161 | − | 0.975798i | −0.980685 | − | 0.195593i | \(-0.937337\pi\) |
0.625524 | − | 0.780205i | \(-0.284885\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 17.5878 | + | 14.1339i | 0.663337 | + | 0.533071i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0.105070 | − | 0.757429i | 0.00395718 | − | 0.0285264i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −12.2610 | − | 14.6120i | −0.461121 | − | 0.549543i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 7.22305 | + | 40.9640i | 0.271267 | + | 1.53843i | 0.750574 | + | 0.660786i | \(0.229777\pi\) |
−0.479307 | + | 0.877647i | \(0.659112\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −0.496392 | − | 6.75202i | −0.0186161 | − | 0.253220i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 13.6759 | + | 4.97762i | 0.512166 | + | 0.186413i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −41.1425 | + | 23.7536i | −1.53864 | + | 0.888335i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.70590 | + | 21.4375i | 0.325128 | + | 0.800600i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −26.6001 | − | 4.69031i | −0.992015 | − | 0.174919i | −0.345992 | − | 0.938237i | \(-0.612458\pi\) |
−0.646022 | + | 0.763318i | \(0.723569\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.0742i | 0.486908i | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −33.6292 | − | 17.8040i | −1.25068 | − | 0.662137i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.43406 | − | 25.1468i | 0.164677 | − | 0.933930i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −23.4708 | − | 19.6943i | −0.870483 | − | 0.730422i | 0.0937165 | − | 0.995599i | \(-0.470125\pi\) |
−0.964200 | + | 0.265177i | \(0.914570\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −18.2805 | − | 19.8701i | −0.677056 | − | 0.735931i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.50562 | + | 9.63162i | −0.129660 | + | 0.356238i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −24.9658 | + | 43.2420i | −0.922132 | + | 1.59718i | −0.126023 | + | 0.992027i | \(0.540221\pi\) |
−0.796110 | + | 0.605152i | \(0.793112\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 7.99480 | − | 24.7558i | 0.294893 | − | 0.913133i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 23.0596 | − | 19.3493i | 0.849410 | − | 0.712740i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −32.2619 | + | 11.7424i | −1.18677 | + | 0.431950i | −0.858589 | − | 0.512664i | \(-0.828659\pi\) |
−0.328183 | + | 0.944614i | \(0.606436\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −35.5826 | + | 15.3363i | −1.30716 | + | 0.563392i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 27.6540 | − | 10.0652i | 1.01453 | − | 0.369257i | 0.219357 | − | 0.975645i | \(-0.429604\pi\) |
0.795169 | + | 0.606387i | \(0.207382\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 63.3446 | − | 53.1525i | 2.32077 | − | 1.94736i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −15.1644 | − | 15.5914i | −0.554838 | − | 0.570459i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 11.7698 | − | 20.3860i | 0.430061 | − | 0.744887i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −0.559448 | + | 1.53707i | −0.0204145 | + | 0.0560885i | −0.949481 | − | 0.313824i | \(-0.898390\pi\) |
0.929067 | + | 0.369912i | \(0.120612\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0.430860 | + | 11.7371i | 0.0157014 | + | 0.427724i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 38.6526 | + | 32.4334i | 1.40671 | + | 1.18037i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.17165 | − | 23.6586i | 0.151621 | − | 0.859887i | −0.810189 | − | 0.586169i | \(-0.800635\pi\) |
0.961810 | − | 0.273718i | \(-0.0882534\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.76179 | + | 10.8832i | −0.209140 | + | 0.395035i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 12.8974i | − | 0.467530i | −0.972293 | − | 0.233765i | \(-0.924895\pi\) | ||
0.972293 | − | 0.233765i | \(-0.0751047\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19.0410 | − | 3.35745i | −0.689332 | − | 0.121548i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −4.39233 | + | 43.2769i | −0.158805 | + | 1.56468i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 18.3359 | − | 10.5862i | 0.662069 | − | 0.382246i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 21.8210 | + | 7.94220i | 0.786886 | + | 0.286403i | 0.704041 | − | 0.710159i | \(-0.251377\pi\) |
0.0828452 | + | 0.996562i | \(0.473599\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.3829 | + | 26.1143i | 0.590017 | + | 0.940482i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 6.98308 | + | 39.6030i | 0.251164 | + | 1.42442i | 0.805730 | + | 0.592283i | \(0.201773\pi\) |
−0.554566 | + | 0.832140i | \(0.687116\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 24.0439 | + | 28.6544i | 0.863683 | + | 1.02930i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 29.9548 | + | 4.15532i | 1.07462 | + | 0.149071i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.79191 | − | 5.47107i | −0.171688 | − | 0.196021i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 11.9381 | + | 32.7998i | 0.427181 | + | 1.17367i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −13.5317 | + | 14.1636i | −0.483584 | + | 0.506166i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −51.8465 | + | 9.14194i | −1.85048 | + | 0.326290i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 40.4947 | + | 23.3796i | 1.44348 | + | 0.833393i | 0.998080 | − | 0.0619383i | \(-0.0197282\pi\) |
0.445400 | + | 0.895332i | \(0.353062\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −4.45778 | − | 4.93312i | −0.158701 | − | 0.175624i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 28.4865 | + | 49.3400i | 1.01286 | + | 1.75433i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −15.2175 | + | 18.1355i | −0.540388 | + | 0.644009i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 31.1348 | − | 39.9978i | 1.10424 | − | 1.41857i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −6.73284 | −0.238489 | −0.119245 | − | 0.992865i | \(-0.538047\pi\) | ||||
−0.119245 | + | 0.992865i | \(0.538047\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.543722 | 0.0192355 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −3.30374 | + | 1.48508i | −0.116732 | + | 0.0524729i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.14089 | − | 4.93492i | 0.146129 | − | 0.174149i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −15.2505 | − | 26.4146i | −0.537508 | − | 0.930992i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 3.38934 | − | 3.06276i | 0.119311 | − | 0.107814i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −7.36554 | − | 4.25250i | −0.258959 | − | 0.149510i | 0.364901 | − | 0.931046i | \(-0.381103\pi\) |
−0.623859 | + | 0.781537i | \(0.714436\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −28.9589 | + | 5.10623i | −1.01688 | + | 0.179304i | −0.657157 | − | 0.753753i | \(-0.728241\pi\) |
−0.359727 | + | 0.933058i | \(0.617130\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −5.08282 | − | 23.7045i | −0.178262 | − | 0.831353i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −13.9943 | − | 38.4490i | −0.490198 | − | 1.34681i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.3708 | + | 2.05609i | −0.362827 | + | 0.0719333i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −30.3750 | + | 42.1232i | −1.06139 | + | 1.47190i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −6.42410 | − | 7.65594i | −0.224203 | − | 0.267194i | 0.642204 | − | 0.766534i | \(-0.278020\pi\) |
−0.866406 | + | 0.499340i | \(0.833576\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.07641 | + | 45.8036i | 0.281526 | + | 1.59661i | 0.717437 | + | 0.696623i | \(0.245315\pi\) |
−0.435911 | + | 0.899990i | \(0.643574\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −26.8110 | + | 16.8200i | −0.933439 | + | 0.585598i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −46.9782 | − | 17.0987i | −1.63359 | − | 0.594579i | −0.647690 | − | 0.761904i | \(-0.724265\pi\) |
−0.985902 | + | 0.167325i | \(0.946487\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 16.9994 | − | 9.81460i | 0.590413 | − | 0.340875i | −0.174848 | − | 0.984595i | \(-0.555943\pi\) |
0.765261 | + | 0.643720i | \(0.222610\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −0.534800 | + | 0.217185i | −0.0185520 | + | 0.00753408i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 18.2166 | + | 3.21208i | 0.631168 | + | 0.111292i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 6.17046i | 0.213538i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −3.15235 | − | 28.5216i | −0.108961 | − | 0.985850i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −2.71691 | + | 15.4084i | −0.0937982 | + | 0.531956i | 0.901311 | + | 0.433173i | \(0.142606\pi\) |
−0.995109 | + | 0.0987829i | \(0.968505\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −11.3285 | − | 9.50576i | −0.390639 | − | 0.327785i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 4.34385 | − | 0.159459i | 0.149610 | − | 0.00549207i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −15.6541 | + | 43.0092i | −0.538516 | + | 1.47956i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −6.27709 | + | 10.8722i | −0.215683 | + | 0.373574i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 43.4255 | + | 14.0241i | 1.49036 | + | 0.481305i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.4501 | − | 8.76867i | 0.358225 | − | 0.300586i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.82954 | − | 2.48575i | 0.233839 | − | 0.0851104i | −0.222443 | − | 0.974946i | \(-0.571403\pi\) |
0.456282 | + | 0.889835i | \(0.349181\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −40.5258 | + | 19.2592i | −1.38595 | + | 0.658651i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 10.7658 | − | 3.91845i | 0.367754 | − | 0.133852i | −0.151531 | − | 0.988452i | \(-0.548420\pi\) |
0.519285 | + | 0.854601i | \(0.326198\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 38.6125 | − | 32.3998i | 1.31744 | − | 1.10547i | 0.330602 | − | 0.943770i | \(-0.392748\pi\) |
0.986841 | − | 0.161695i | \(-0.0516962\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −9.27617 | − | 2.99570i | −0.316131 | − | 0.102093i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 13.4511 | − | 23.2980i | 0.457882 | − | 0.793075i | −0.540967 | − | 0.841044i | \(-0.681942\pi\) |
0.998849 | + | 0.0479693i | \(0.0152749\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −7.95239 | + | 21.8490i | −0.270389 | + | 0.742889i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −1.48396 | + | 0.0544750i | −0.0503979 | + | 0.00185007i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 4.66385 | + | 3.91344i | 0.158210 | + | 0.132754i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 9.94396 | − | 56.3950i | 0.336938 | − | 1.91087i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −22.7255 | + | 15.4470i | −0.769143 | + | 0.522801i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | − | 20.5252i | − | 0.693880i | ||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 3.93346 | + | 0.693575i | 0.132823 | + | 0.0234204i | 0.239665 | − | 0.970856i | \(-0.422963\pi\) |
−0.106841 | + | 0.994276i | \(0.534074\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −20.9688 | + | 8.51555i | −0.707261 | + | 0.287223i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −27.5291 | + | 15.8939i | −0.927479 | + | 0.535480i | −0.886013 | − | 0.463660i | \(-0.846536\pi\) |
−0.0414655 | + | 0.999140i | \(0.513203\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −14.7726 | − | 5.37678i | −0.497136 | − | 0.180943i | 0.0812691 | − | 0.996692i | \(-0.474103\pi\) |
−0.578406 | + | 0.815749i | \(0.696325\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 20.7691 | − | 13.0296i | 0.698146 | − | 0.437986i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 7.99628 | + | 45.3492i | 0.268489 | + | 1.52268i | 0.758913 | + | 0.651192i | \(0.225731\pi\) |
−0.490424 | + | 0.871484i | \(0.663158\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 11.9916 | + | 14.2910i | 0.402185 | + | 0.479305i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 24.2708 | + | 0.673976i | 0.813101 | + | 0.0225790i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 0.290651 | + | 0.479659i | 0.00972628 | + | 0.0160512i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.8494 | + | 46.2934i | 0.563214 | + | 1.54742i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 4.91150 | + | 22.9056i | 0.163990 | + | 0.764794i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −20.5023 | + | 3.61510i | −0.683789 | + | 0.120570i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 31.2123 | + | 18.0204i | 1.03983 | + | 0.600347i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −10.5138 | + | 9.50072i | −0.349877 | + | 0.316164i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −20.5230 | − | 35.5469i | −0.682208 | − | 1.18162i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 0.695285 | − | 0.828609i | 0.0230866 | − | 0.0275135i | −0.754378 | − | 0.656441i | \(-0.772061\pi\) |
0.777464 | + | 0.628927i | \(0.216506\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 6.95568 | + | 15.4737i | 0.230705 | + | 0.513231i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 45.4512 | 1.50587 | 0.752933 | − | 0.658098i | \(-0.228639\pi\) | ||||
0.752933 | + | 0.658098i | \(0.228639\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 19.5587 | 0.647300 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −16.8397 | + | 21.6334i | −0.556704 | + | 0.715177i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −31.9623 | + | 38.0912i | −1.05549 | + | 1.25788i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 10.4915 | + | 18.1717i | 0.346081 | + | 0.599430i | 0.985550 | − | 0.169387i | \(-0.0541788\pi\) |
−0.639468 | + | 0.768817i | \(0.720845\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −8.33064 | − | 9.21894i | −0.274504 | − | 0.303774i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 57.5053 | + | 33.2007i | 1.89281 | + | 1.09281i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 34.5291 | − | 6.08841i | 1.13531 | − | 0.200186i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 3.16524 | − | 11.1892i | 0.103960 | − | 0.367502i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 10.4843 | + | 28.8055i | 0.343980 | + | 0.945077i | 0.984227 | + | 0.176908i | \(0.0566096\pi\) |
−0.640247 | + | 0.768169i | \(0.721168\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.90422 | + | 17.7873i | 0.226277 | + | 0.582956i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 19.7368 | + | 2.73789i | 0.646155 | + | 0.0896346i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −25.1441 | − | 29.9655i | −0.822299 | − | 0.979978i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.894500 | − | 5.07296i | −0.0292221 | − | 0.165726i | 0.966704 | − | 0.255896i | \(-0.0823703\pi\) |
−0.995926 | + | 0.0901691i | \(0.971259\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 16.3235 | + | 26.0195i | 0.532696 | + | 0.849113i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 23.0587 | + | 8.39267i | 0.751691 | + | 0.273593i | 0.689317 | − | 0.724460i | \(-0.257911\pi\) |
0.0623740 | + | 0.998053i | \(0.480133\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −3.80805 | + | 2.19858i | −0.124007 | + | 0.0715956i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −33.3614 | + | 50.0367i | −1.08525 | + | 1.62769i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 23.9834 | + | 4.22892i | 0.779357 | + | 0.137422i | 0.549154 | − | 0.835721i | \(-0.314950\pi\) |
0.230203 | + | 0.973143i | \(0.426061\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | − | 12.2551i | − | 0.397818i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 27.6191 | − | 52.1686i | 0.895612 | − | 1.69168i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 0.495016 | − | 2.80737i | 0.0160351 | − | 0.0909398i | −0.975740 | − | 0.218933i | \(-0.929742\pi\) |
0.991775 | + | 0.127993i | \(0.0408535\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −26.7190 | − | 22.4199i | −0.864607 | − | 0.725492i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −0.646210 | − | 17.6035i | −0.0208890 | − | 0.569040i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 23.0034 | − | 63.2014i | 0.742819 | − | 2.04088i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −0.251521 | + | 0.435647i | −0.00811358 | + | 0.0140531i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −15.0083 | + | 14.5973i | −0.483637 | + | 0.470393i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 32.9282 | − | 27.6301i | 1.06000 | − | 0.889444i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 24.1580 | − | 8.79281i | 0.776870 | − | 0.282758i | 0.0770033 | − | 0.997031i | \(-0.475465\pi\) |
0.699867 | + | 0.714273i | \(0.253243\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −17.5236 | − | 26.6607i | −0.562940 | − | 0.856464i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −8.94724 | + | 3.25653i | −0.287131 | + | 0.104507i | −0.481570 | − | 0.876407i | \(-0.659933\pi\) |
0.194440 | + | 0.980914i | \(0.437711\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.18105 | − | 3.50832i | 0.134038 | − | 0.112472i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −18.5037 | + | 57.2964i | −0.592591 | + | 1.83495i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 11.2275 | − | 19.4466i | 0.359199 | − | 0.622151i | −0.628628 | − | 0.777706i | \(-0.716383\pi\) |
0.987827 | + | 0.155555i | \(0.0497166\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1.11406 | − | 3.06085i | 0.0356055 | − | 0.0978253i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 15.4830 | + | 7.48319i | 0.494333 | + | 0.238920i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −15.1924 | − | 12.7479i | −0.484561 | − | 0.406595i | 0.367511 | − | 0.930019i | \(-0.380210\pi\) |
−0.852072 | + | 0.523424i | \(0.824654\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −13.6941 | + | 77.6630i | −0.436330 | + | 2.47455i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0.664348 | + | 0.351719i | 0.0211464 | + | 0.0111954i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 6.39215i | 0.203258i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −11.0355 | − | 1.94586i | −0.350556 | − | 0.0618124i | −0.00440221 | − | 0.999990i | \(-0.501401\pi\) |
−0.346154 | + | 0.938178i | \(0.612512\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −13.6178 | − | 33.5326i | −0.432147 | − | 1.06412i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −75.2987 | + | 43.4737i | −2.38713 | + | 1.37821i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −6.92900 | − | 2.52195i | −0.219444 | − | 0.0798710i | 0.229959 | − | 0.973200i | \(-0.426141\pi\) |
−0.449402 | + | 0.893329i | \(0.648363\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −24.6300 | − | 10.8082i | −0.779260 | − | 0.341957i |
(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 | 912.2.cc.c.641.3 | 18 | ||
3.2 | odd | 2 | 912.2.cc.d.641.3 | 18 | |||
4.3 | odd | 2 | 114.2.l.b.71.1 | yes | 18 | ||
12.11 | even | 2 | 114.2.l.a.71.1 | yes | 18 | ||
19.15 | odd | 18 | 912.2.cc.d.737.3 | 18 | |||
57.53 | even | 18 | inner | 912.2.cc.c.737.3 | 18 | ||
76.15 | even | 18 | 114.2.l.a.53.1 | ✓ | 18 | ||
228.167 | odd | 18 | 114.2.l.b.53.1 | yes | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.l.a.53.1 | ✓ | 18 | 76.15 | even | 18 | ||
114.2.l.a.71.1 | yes | 18 | 12.11 | even | 2 | ||
114.2.l.b.53.1 | yes | 18 | 228.167 | odd | 18 | ||
114.2.l.b.71.1 | yes | 18 | 4.3 | odd | 2 | ||
912.2.cc.c.641.3 | 18 | 1.1 | even | 1 | trivial | ||
912.2.cc.c.737.3 | 18 | 57.53 | even | 18 | inner | ||
912.2.cc.d.641.3 | 18 | 3.2 | odd | 2 | |||
912.2.cc.d.737.3 | 18 | 19.15 | odd | 18 |