Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(47,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 0, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.be (of order \(18\), degree \(6\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 335.3 | ||
Character | \(\chi\) | \(=\) | 432.335 |
Dual form | 432.2.be.a.383.3 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{13}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.265485 | + | 1.71158i | −0.153278 | + | 0.988183i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.601308 | − | 1.65208i | 0.268913 | − | 0.738833i | −0.729577 | − | 0.683899i | \(-0.760283\pi\) |
0.998490 | − | 0.0549340i | \(-0.0174948\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.31695 | + | 0.584867i | 1.25369 | + | 0.221059i | 0.760773 | − | 0.649018i | \(-0.224820\pi\) |
0.492916 | + | 0.870077i | \(0.335931\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.85904 | − | 0.908799i | −0.953012 | − | 0.302933i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.91444 | − | 0.696801i | 0.577227 | − | 0.210093i | −0.0368755 | − | 0.999320i | \(-0.511740\pi\) |
0.614102 | + | 0.789227i | \(0.289518\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 3.10802 | − | 2.60794i | 0.862010 | − | 0.723312i | −0.100390 | − | 0.994948i | \(-0.532009\pi\) |
0.962400 | + | 0.271636i | \(0.0875647\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.66804 | + | 1.46779i | 0.688884 | + | 0.378982i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.93090 | + | 1.69216i | −0.710848 | + | 0.410408i | −0.811375 | − | 0.584526i | \(-0.801280\pi\) |
0.100527 | + | 0.994934i | \(0.467947\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.04178 | + | 1.17882i | 0.468416 | + | 0.270440i | 0.715576 | − | 0.698534i | \(-0.246164\pi\) |
−0.247160 | + | 0.968975i | \(0.579497\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.88165 | + | 5.52196i | −0.410610 | + | 1.20499i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.695477 | + | 3.94425i | 0.145017 | + | 0.822433i | 0.967353 | + | 0.253431i | \(0.0815591\pi\) |
−0.822336 | + | 0.569002i | \(0.807330\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.46242 | + | 1.22712i | 0.292485 | + | 0.245424i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 2.31452 | − | 4.65220i | 0.445429 | − | 0.895317i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.89297 | − | 2.25596i | 0.351516 | − | 0.418921i | −0.561094 | − | 0.827752i | \(-0.689619\pi\) |
0.912610 | + | 0.408832i | \(0.134064\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.69332 | + | 0.827559i | −0.842946 | + | 0.148634i | −0.578414 | − | 0.815743i | \(-0.696328\pi\) |
−0.264531 | + | 0.964377i | \(0.585217\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.684376 | + | 3.46172i | 0.119135 | + | 0.602608i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.96076 | − | 5.12818i | 0.500459 | − | 0.866821i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 4.41679 | + | 7.65010i | 0.726115 | + | 1.25767i | 0.958513 | + | 0.285047i | \(0.0920093\pi\) |
−0.232398 | + | 0.972621i | \(0.574657\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 3.63857 | + | 6.01200i | 0.582638 | + | 0.962691i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.67751 | − | 7.95795i | −1.04285 | − | 1.24282i | −0.969390 | − | 0.245525i | \(-0.921040\pi\) |
−0.0734622 | − | 0.997298i | \(-0.523405\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.29292 | + | 3.55227i | 0.197169 | + | 0.541717i | 0.998394 | − | 0.0566457i | \(-0.0180405\pi\) |
−0.801226 | + | 0.598362i | \(0.795818\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3.22057 | + | 4.17689i | −0.480094 | + | 0.622654i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.19570 | + | 12.4524i | −0.320276 | + | 1.81637i | 0.220706 | + | 0.975340i | \(0.429164\pi\) |
−0.540982 | + | 0.841034i | \(0.681947\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.08223 | + | 1.48581i | 0.583175 | + | 0.212258i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −2.11816 | − | 5.46573i | −0.296601 | − | 0.765355i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 10.0071i | − | 1.37457i | −0.726386 | − | 0.687287i | \(-0.758801\pi\) | ||
0.726386 | − | 0.687287i | \(-0.241199\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 3.58181i | − | 0.482971i | ||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.55971 | + | 3.18171i | −0.339042 | + | 0.421428i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 6.19943 | + | 2.25641i | 0.807097 | + | 0.293759i | 0.712424 | − | 0.701749i | \(-0.247597\pi\) |
0.0946731 | + | 0.995508i | \(0.469819\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.0727139 | + | 0.412381i | −0.00931006 | + | 0.0528000i | −0.989109 | − | 0.147186i | \(-0.952978\pi\) |
0.979799 | + | 0.199986i | \(0.0640896\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −8.95174 | − | 4.68660i | −1.12781 | − | 0.590456i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.43965 | − | 6.70287i | −0.302601 | − | 0.831389i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −7.81114 | − | 9.30896i | −0.954283 | − | 1.13727i | −0.990443 | − | 0.137924i | \(-0.955957\pi\) |
0.0361600 | − | 0.999346i | \(-0.488487\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −6.93555 | + | 0.143229i | −0.834942 | + | 0.0172427i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.57186 | − | 13.1148i | −0.898615 | − | 1.55645i | −0.829266 | − | 0.558854i | \(-0.811241\pi\) |
−0.0693485 | − | 0.997592i | \(-0.522092\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 5.87873 | − | 10.1823i | 0.688054 | − | 1.19174i | −0.284413 | − | 0.958702i | \(-0.591799\pi\) |
0.972467 | − | 0.233042i | \(-0.0748681\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −2.48857 | + | 2.17728i | −0.287355 | + | 0.251410i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 6.75765 | − | 1.19156i | 0.770106 | − | 0.135790i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.00952 | + | 5.97012i | −0.563615 | + | 0.671691i | −0.970308 | − | 0.241875i | \(-0.922238\pi\) |
0.406692 | + | 0.913565i | \(0.366682\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.34817 | + | 5.19658i | 0.816463 | + | 0.577398i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −12.5809 | − | 10.5566i | −1.38093 | − | 1.15874i | −0.968866 | − | 0.247587i | \(-0.920363\pi\) |
−0.412067 | − | 0.911154i | \(-0.635193\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.03320 | + | 5.85959i | 0.112067 | + | 0.635562i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3.35870 | + | 3.83890i | 0.360091 | + | 0.411574i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.81064 | − | 1.62273i | −0.297928 | − | 0.172009i | 0.343584 | − | 0.939122i | \(-0.388359\pi\) |
−0.641512 | + | 0.767113i | \(0.721692\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.8344 | − | 6.83262i | 1.24059 | − | 0.716253i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −0.170430 | − | 8.25272i | −0.0176728 | − | 0.855767i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 3.17524 | − | 2.66435i | 0.325773 | − | 0.273356i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.7401 | − | 3.90906i | 1.09049 | − | 0.396905i | 0.266686 | − | 0.963783i | \(-0.414071\pi\) |
0.823802 | + | 0.566878i | \(0.191849\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −6.10672 | + | 0.252332i | −0.613748 | + | 0.0253603i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −5.82407 | − | 1.02694i | −0.579516 | − | 0.102184i | −0.123796 | − | 0.992308i | \(-0.539507\pi\) |
−0.455720 | + | 0.890123i | \(0.650618\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.09855 | + | 3.01824i | −0.108243 | + | 0.297396i | −0.981975 | − | 0.189013i | \(-0.939471\pi\) |
0.873731 | + | 0.486409i | \(0.161693\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 7.99127 | + | 6.42904i | 0.779868 | + | 0.627410i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −2.38343 | −0.230415 | −0.115208 | − | 0.993341i | \(-0.536753\pi\) | ||||
−0.115208 | + | 0.993341i | \(0.536753\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.67235 | −0.447530 | −0.223765 | − | 0.974643i | \(-0.571835\pi\) | ||||
−0.223765 | + | 0.974643i | \(0.571835\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −14.2664 | + | 5.52871i | −1.35410 | + | 0.524762i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −5.25158 | + | 14.4286i | −0.494027 | + | 1.35733i | 0.402938 | + | 0.915227i | \(0.367989\pi\) |
−0.896965 | + | 0.442101i | \(0.854233\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.93441 | + | 1.22272i | 0.646637 | + | 0.114020i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −11.2560 | + | 4.63162i | −1.04062 | + | 0.428194i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −10.7113 | + | 3.89861i | −0.981907 | + | 0.357385i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.24692 | + | 4.40269i | −0.476993 | + | 0.400245i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 15.3935 | − | 9.31641i | 1.38798 | − | 0.840032i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 10.5195 | − | 6.07343i | 0.940892 | − | 0.543224i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −7.33037 | − | 4.23219i | −0.650465 | − | 0.375546i | 0.138169 | − | 0.990409i | \(-0.455878\pi\) |
−0.788634 | + | 0.614863i | \(0.789211\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −6.42326 | + | 1.26987i | −0.565537 | + | 0.111806i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 0.590649 | + | 3.34974i | 0.0516053 | + | 0.292668i | 0.999678 | − | 0.0253865i | \(-0.00808164\pi\) |
−0.948072 | + | 0.318054i | \(0.896971\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.08302 | + | 5.10426i | 0.527464 | + | 0.442595i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −6.29408 | − | 6.62118i | −0.541708 | − | 0.569860i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −3.87409 | + | 4.61696i | −0.330986 | + | 0.394454i | −0.905713 | − | 0.423891i | \(-0.860664\pi\) |
0.574727 | + | 0.818345i | \(0.305108\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −18.5190 | + | 3.26539i | −1.57076 | + | 0.276967i | −0.890145 | − | 0.455677i | \(-0.849397\pi\) |
−0.680612 | + | 0.732644i | \(0.738286\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −20.7305 | − | 7.06406i | −1.74582 | − | 0.594901i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.13292 | − | 7.15842i | 0.345612 | − | 0.598617i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.58876 | − | 4.48387i | −0.214985 | − | 0.372365i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −3.62686 | + | 6.59261i | −0.299138 | + | 0.543749i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −0.977398 | − | 1.16482i | −0.0800716 | − | 0.0954256i | 0.724521 | − | 0.689252i | \(-0.242061\pi\) |
−0.804593 | + | 0.593827i | \(0.797616\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.98184 | + | 16.4350i | 0.486795 | + | 1.33746i | 0.903567 | + | 0.428447i | \(0.140939\pi\) |
−0.416771 | + | 0.909011i | \(0.636838\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 9.91738 | − | 2.17433i | 0.801773 | − | 0.175785i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −1.45494 | + | 8.25137i | −0.116863 | + | 0.662766i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.00637 | + | 0.730259i | 0.160126 | + | 0.0582810i | 0.420839 | − | 0.907135i | \(-0.361736\pi\) |
−0.260714 | + | 0.965416i | \(0.583958\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 17.1279 | + | 2.65672i | 1.35833 | + | 0.210692i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 13.4896i | 1.06313i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 23.0331i | − | 1.80409i | −0.431640 | − | 0.902046i | \(-0.642065\pi\) | ||
0.431640 | − | 0.902046i | \(-0.357935\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 6.13056 | + | 0.950916i | 0.477264 | + | 0.0740287i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 22.1988 | + | 8.07970i | 1.71779 | + | 0.625226i | 0.997645 | − | 0.0685925i | \(-0.0218508\pi\) |
0.720150 | + | 0.693819i | \(0.244073\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 0.601020 | − | 3.40855i | 0.0462323 | − | 0.262196i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.76620 | − | 5.22586i | −0.364481 | − | 0.399631i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 1.26759 | + | 3.48267i | 0.0963728 | + | 0.264782i | 0.978506 | − | 0.206218i | \(-0.0661155\pi\) |
−0.882133 | + | 0.471000i | \(0.843893\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.13308 | + | 4.92561i | 0.312432 | + | 0.372341i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −5.50789 | + | 10.0118i | −0.413998 | + | 0.752533i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 4.88951 | + | 8.46888i | 0.365459 | + | 0.632994i | 0.988850 | − | 0.148917i | \(-0.0475787\pi\) |
−0.623391 | + | 0.781911i | \(0.714245\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.23147 | + | 3.86501i | −0.165864 | + | 0.287284i | −0.936962 | − | 0.349432i | \(-0.886374\pi\) |
0.771098 | + | 0.636716i | \(0.219708\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −0.686520 | − | 0.233937i | −0.0507490 | − | 0.0172931i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 15.2944 | − | 2.69682i | 1.12447 | − | 0.198274i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −4.43195 | + | 5.28179i | −0.324096 | + | 0.386243i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 10.3981 | − | 14.0774i | 0.756347 | − | 1.02398i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 1.11424 | + | 0.934959i | 0.0806236 | + | 0.0676513i | 0.682209 | − | 0.731157i | \(-0.261020\pi\) |
−0.601585 | + | 0.798809i | \(0.705464\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.89413 | − | 16.4134i | −0.208324 | − | 1.18146i | −0.892122 | − | 0.451794i | \(-0.850784\pi\) |
0.683798 | − | 0.729671i | \(-0.260327\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 12.1202 | − | 2.39615i | 0.867947 | − | 0.171592i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 0.492249 | + | 0.284200i | 0.0350713 | + | 0.0202484i | 0.517433 | − | 0.855724i | \(-0.326888\pi\) |
−0.482362 | + | 0.875972i | \(0.660221\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 13.9651 | − | 8.06276i | 0.989960 | − | 0.571554i | 0.0846975 | − | 0.996407i | \(-0.473008\pi\) |
0.905262 | + | 0.424853i | \(0.139674\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 18.0068 | − | 10.8980i | 1.27010 | − | 0.768688i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 7.59833 | − | 6.37575i | 0.533298 | − | 0.447490i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.1624 | + | 6.24661i | −1.19868 | + | 0.436282i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.59614 | − | 11.9088i | 0.110939 | − | 0.827719i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 4.73027 | + | 0.834075i | 0.327200 | + | 0.0576942i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.10308 | + | 5.77817i | −0.144782 | + | 0.397786i | −0.990794 | − | 0.135378i | \(-0.956775\pi\) |
0.846012 | + | 0.533164i | \(0.178997\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 24.4574 | − | 9.47808i | 1.67579 | − | 0.649427i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 6.64609 | 0.453259 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −16.0515 | −1.08965 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 15.8671 | + | 12.7652i | 1.07220 | + | 0.862591i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −4.69626 | + | 12.9029i | −0.315905 | + | 0.867941i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −6.78099 | − | 1.19567i | −0.454088 | − | 0.0800680i | −0.0580739 | − | 0.998312i | \(-0.518496\pi\) |
−0.396015 | + | 0.918244i | \(0.629607\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.06592 | − | 4.83743i | −0.204394 | − | 0.322495i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −19.2009 | + | 6.98854i | −1.27441 | + | 0.463846i | −0.888578 | − | 0.458725i | \(-0.848306\pi\) |
−0.385827 | + | 0.922571i | \(0.626084\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −3.69275 | + | 3.09858i | −0.244024 | + | 0.204760i | −0.756594 | − | 0.653885i | \(-0.773138\pi\) |
0.512570 | + | 0.858645i | \(0.328693\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.245393 | + | 11.8826i | 0.0161456 | + | 0.781819i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −5.70605 | + | 3.29439i | −0.373816 | + | 0.215823i | −0.675124 | − | 0.737704i | \(-0.735910\pi\) |
0.301308 | + | 0.953527i | \(0.402577\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 19.2521 | + | 11.1152i | 1.25587 | + | 0.725077i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −8.88840 | − | 10.1592i | −0.577364 | − | 0.659910i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.78098 | + | 10.1005i | 0.115202 | + | 0.653344i | 0.986650 | + | 0.162856i | \(0.0520705\pi\) |
−0.871448 | + | 0.490488i | \(0.836818\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −16.6341 | − | 13.9577i | −1.07150 | − | 0.899092i | −0.0763084 | − | 0.997084i | \(-0.524313\pi\) |
−0.995187 | + | 0.0979927i | \(0.968758\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −10.8452 | + | 11.1974i | −0.695720 | + | 0.718313i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 4.90935 | − | 5.85074i | 0.313647 | − | 0.373790i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 9.42018 | − | 1.66103i | 0.599392 | − | 0.105689i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 21.4086 | − | 18.7306i | 1.35671 | − | 1.18701i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 7.00303 | − | 12.1296i | 0.442027 | − | 0.765614i | −0.555813 | − | 0.831308i | \(-0.687593\pi\) |
0.997840 | + | 0.0656939i | \(0.0209261\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.07981 | + | 7.06644i | 0.256495 | + | 0.444263i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −10.3035 | + | 0.212781i | −0.645229 | + | 0.0133249i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −16.2302 | − | 19.3424i | −1.01241 | − | 1.20655i | −0.978313 | − | 0.207130i | \(-0.933588\pi\) |
−0.0341011 | − | 0.999418i | \(-0.510857\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.1760 | + | 27.9582i | 0.632303 | + | 1.73724i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −7.46229 | + | 4.72953i | −0.461904 | + | 0.292750i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.542765 | + | 3.07817i | −0.0334683 | + | 0.189808i | −0.996958 | − | 0.0779359i | \(-0.975167\pi\) |
0.963490 | + | 0.267744i | \(0.0862782\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −16.5325 | − | 6.01732i | −1.01558 | − | 0.369641i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 3.52362 | − | 4.37984i | 0.215642 | − | 0.268042i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 21.1146i | 1.28738i | 0.765287 | + | 0.643689i | \(0.222597\pi\) | ||||
−0.765287 | + | 0.643689i | \(0.777403\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.60064i | 0.0972320i | 0.998818 | + | 0.0486160i | \(0.0154811\pi\) | ||||
−0.998818 | + | 0.0486160i | \(0.984519\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 8.55273 | + | 22.0696i | 0.517635 | + | 1.33571i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 3.65479 | + | 1.33023i | 0.220392 | + | 0.0802161i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −1.63119 | + | 9.25096i | −0.0980090 | + | 0.555836i | 0.895775 | + | 0.444508i | \(0.146622\pi\) |
−0.993784 | + | 0.111328i | \(0.964490\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 14.1705 | + | 1.89927i | 0.848363 | + | 0.113706i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 8.00459 | + | 21.9924i | 0.477514 | + | 1.31196i | 0.911597 | + | 0.411085i | \(0.134850\pi\) |
−0.434083 | + | 0.900873i | \(0.642928\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −12.4967 | − | 14.8930i | −0.742853 | − | 0.885297i | 0.253783 | − | 0.967261i | \(-0.418325\pi\) |
−0.996635 | + | 0.0819641i | \(0.973881\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 3.71727 | + | 6.14204i | 0.220192 | + | 0.363823i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −17.4946 | − | 30.3016i | −1.03267 | − | 1.78865i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.77321 | + | 4.80334i | −0.163130 | + | 0.282549i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.83936 | + | 19.4203i | 0.225067 | + | 1.13844i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 31.0155 | − | 5.46886i | 1.81194 | − | 0.319494i | 0.837894 | − | 0.545833i | \(-0.183787\pi\) |
0.974049 | + | 0.226339i | \(0.0726756\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 7.45554 | − | 8.88516i | 0.434078 | − | 0.517314i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.18935 | − | 10.5191i | 0.0690133 | − | 0.610383i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 12.4479 | + | 10.4450i | 0.719882 | + | 0.604052i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.21095 | + | 12.5389i | 0.127437 | + | 0.722730i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.30390 | − | 9.69574i | 0.189804 | − | 0.557006i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0.637563 | + | 0.368097i | 0.0365068 | + | 0.0210772i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.54525 | − | 0.892151i | 0.0881921 | − | 0.0509177i | −0.455255 | − | 0.890361i | \(-0.650452\pi\) |
0.543447 | + | 0.839443i | \(0.317119\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.87431 | − | 2.68155i | −0.277290 | − | 0.152548i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 8.43637 | − | 7.07896i | 0.478383 | − | 0.401411i | −0.371458 | − | 0.928450i | \(-0.621142\pi\) |
0.849841 | + | 0.527039i | \(0.176698\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −18.0684 | + | 6.57635i | −1.02129 | + | 0.371718i | −0.797757 | − | 0.602980i | \(-0.793980\pi\) |
−0.223529 | + | 0.974697i | \(0.571758\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −13.1254 | + | 11.9709i | −0.739532 | + | 0.674485i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 21.7504 | + | 3.83518i | 1.22162 | + | 0.215405i | 0.747024 | − | 0.664797i | \(-0.231482\pi\) |
0.474600 | + | 0.880202i | \(0.342593\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.05204 | − | 5.63793i | 0.114892 | − | 0.315663i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0.632766 | − | 4.07945i | 0.0353176 | − | 0.227693i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −7.97900 | −0.443963 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.74549 | 0.429643 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.24044 | − | 7.99712i | 0.0685964 | − | 0.442242i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −14.5661 | + | 40.0199i | −0.803052 | + | 2.20637i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.3244 | + | 2.34946i | 0.732377 | + | 0.129138i | 0.527386 | − | 0.849626i | \(-0.323172\pi\) |
0.204991 | + | 0.978764i | \(0.434283\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.67534 | − | 25.8859i | −0.311007 | − | 1.41854i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −20.0760 | + | 7.30708i | −1.09687 | + | 0.399229i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.8570 | − | 9.11008i | 0.591417 | − | 0.496258i | −0.297257 | − | 0.954798i | \(-0.596072\pi\) |
0.888674 | + | 0.458540i | \(0.151627\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −23.3015 | − | 12.8191i | −1.26557 | − | 0.696238i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −8.40846 | + | 4.85463i | −0.455344 | + | 0.262893i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.74659 | − | 4.47250i | −0.418277 | − | 0.241492i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −3.93378 | + | 11.5442i | −0.211787 | + | 0.621519i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.54597 | + | 14.4389i | 0.136675 | + | 0.775121i | 0.973679 | + | 0.227924i | \(0.0731938\pi\) |
−0.837004 | + | 0.547196i | \(0.815695\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −8.88139 | − | 7.45237i | −0.475410 | − | 0.398916i | 0.373354 | − | 0.927689i | \(-0.378208\pi\) |
−0.848763 | + | 0.528773i | \(0.822652\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4.93910 | − | 20.4953i | −0.263630 | − | 1.09396i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −12.3110 | + | 14.6717i | −0.655249 | + | 0.780895i | −0.986696 | − | 0.162579i | \(-0.948019\pi\) |
0.331447 | + | 0.943474i | \(0.392463\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −26.2198 | + | 4.62326i | −1.39160 | + | 0.245377i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.82909 | − | 19.3684i | −0.202657 | − | 1.02508i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −1.56411 | + | 2.70911i | −0.0825504 | + | 0.142982i | −0.904345 | − | 0.426803i | \(-0.859640\pi\) |
0.821794 | + | 0.569784i | \(0.192973\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.72076 | − | 11.6407i | −0.353724 | − | 0.612668i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.14259 | − | 10.1494i | −0.322403 | − | 0.532705i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −13.2870 | − | 15.8348i | −0.695473 | − | 0.828833i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.9355 | − | 32.7926i | −0.623030 | − | 1.71176i | −0.699446 | − | 0.714686i | \(-0.746570\pi\) |
0.0764152 | − | 0.997076i | \(-0.475653\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 11.8591 | + | 28.8206i | 0.617358 | + | 1.50034i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.85280 | − | 33.1929i | 0.303862 | − | 1.72329i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −17.5314 | − | 6.38090i | −0.907740 | − | 0.330391i | −0.154390 | − | 0.988010i | \(-0.549341\pi\) |
−0.753350 | + | 0.657619i | \(0.771564\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 7.60242 | + | 19.6174i | 0.392587 | + | 1.01304i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 11.9483i | − | 0.615369i | ||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.52212i | 0.232285i | 0.993233 | + | 0.116143i | \(0.0370530\pi\) | ||||
−0.993233 | + | 0.116143i | \(0.962947\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.18985 | − | 11.4230i | 0.470810 | − | 0.585216i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.58521 | − | 2.76079i | −0.387586 | − | 0.141070i | 0.140875 | − | 0.990027i | \(-0.455009\pi\) |
−0.528461 | + | 0.848958i | \(0.677231\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 2.09488 | − | 11.8807i | 0.106765 | − | 0.605495i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.468205 | − | 11.3311i | −0.0238002 | − | 0.575991i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.93943 | + | 8.07603i | 0.149035 | + | 0.409471i | 0.991636 | − | 0.129068i | \(-0.0411986\pi\) |
−0.842600 | + | 0.538539i | \(0.818976\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8.71266 | − | 10.3833i | −0.440618 | − | 0.525109i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −5.89016 | + | 0.121640i | −0.297119 | + | 0.00613593i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 6.85085 | + | 11.8660i | 0.344704 | + | 0.597044i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −8.36056 | + | 14.4809i | −0.419605 | + | 0.726776i | −0.995900 | − | 0.0904653i | \(-0.971165\pi\) |
0.576295 | + | 0.817242i | \(0.304498\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −10.3513 | + | 9.05649i | −0.518214 | + | 0.453391i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 10.7406 | − | 1.89386i | 0.536360 | − | 0.0945747i | 0.101094 | − | 0.994877i | \(-0.467766\pi\) |
0.435266 | + | 0.900302i | \(0.356654\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −12.4287 | + | 14.8120i | −0.619119 | + | 0.737837i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 13.0037 | − | 9.01502i | 0.646158 | − | 0.447960i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.7863 | + | 11.5681i | 0.683361 | + | 0.573408i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.98786 | − | 11.2737i | −0.0982932 | − | 0.557449i | −0.993688 | − | 0.112176i | \(-0.964218\pi\) |
0.895395 | − | 0.445273i | \(-0.146893\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.87380 | − | 7.85656i | −0.339060 | − | 0.387536i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 19.2435 | + | 11.1102i | 0.946911 | + | 0.546699i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −25.0054 | + | 14.4369i | −1.22747 | + | 0.708678i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.672485 | − | 32.5636i | −0.0329317 | − | 1.59465i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −29.6189 | + | 24.8532i | −1.44698 | + | 1.21416i | −0.512226 | + | 0.858851i | \(0.671179\pi\) |
−0.934750 | + | 0.355306i | \(0.884377\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 22.9468 | − | 8.35196i | 1.11836 | − | 0.407050i | 0.284306 | − | 0.958733i | \(-0.408237\pi\) |
0.834053 | + | 0.551684i | \(0.186014\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 17.5944 | − | 33.6065i | 0.855467 | − | 1.63400i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.36270 | − | 1.12192i | −0.308636 | − | 0.0544209i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.482377 | + | 1.32532i | −0.0233438 | + | 0.0641367i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 11.1550 | + | 8.97429i | 0.538569 | + | 0.433283i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.83273 | −0.0882794 | −0.0441397 | − | 0.999025i | \(-0.514055\pi\) | ||||
−0.0441397 | + | 0.999025i | \(0.514055\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 24.3880 | 1.17201 | 0.586006 | − | 0.810306i | \(-0.300699\pi\) | ||||
0.586006 | + | 0.810306i | \(0.300699\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 8.36179 | − | 3.24048i | 0.400917 | − | 0.155369i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −3.22955 | + | 8.87312i | −0.154490 | + | 0.424459i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 6.79585 | + | 1.19829i | 0.324348 | + | 0.0571913i | 0.333452 | − | 0.942767i | \(-0.391787\pi\) |
−0.00910346 | + | 0.999959i | \(0.502898\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.3209 | − | 7.95791i | −0.491473 | − | 0.378948i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 12.8196 | − | 4.66594i | 0.609076 | − | 0.221686i | −0.0190226 | − | 0.999819i | \(-0.506055\pi\) |
0.628099 | + | 0.778133i | \(0.283833\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −4.37094 | + | 3.66765i | −0.207202 | + | 0.173863i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.25317 | − | 1.36366i | 0.106571 | − | 0.0644987i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.16633 | + | 1.25073i | −0.102235 | + | 0.0590255i | −0.550246 | − | 0.835003i | \(-0.685466\pi\) |
0.448011 | + | 0.894028i | \(0.352133\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −18.3288 | − | 10.5822i | −0.863071 | − | 0.498294i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −29.7179 | + | 5.87518i | −1.39627 | + | 0.276040i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −4.17189 | − | 23.6600i | −0.195581 | − | 1.10920i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 12.1416 | + | 10.1880i | 0.567961 | + | 0.476576i | 0.880969 | − | 0.473175i | \(-0.156892\pi\) |
−0.313008 | + | 0.949751i | \(0.601337\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.08864 | + | 17.5517i | 0.0508133 | + | 0.819242i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.3795 | − | 15.9451i | 0.623147 | − | 0.742637i | −0.358461 | − | 0.933545i | \(-0.616699\pi\) |
0.981608 | + | 0.190907i | \(0.0611430\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.07709 | − | 0.718900i | 0.189478 | − | 0.0334101i | −0.0781036 | − | 0.996945i | \(-0.524887\pi\) |
0.267582 | + | 0.963535i | \(0.413775\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −13.7366 | − | 4.68086i | −0.637021 | − | 0.217070i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −1.51667 | + | 2.62696i | −0.0701833 | + | 0.121561i | −0.898982 | − | 0.437987i | \(-0.855692\pi\) |
0.828798 | + | 0.559548i | \(0.189025\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −20.4646 | − | 35.4458i | −0.944970 | − | 1.63674i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.78256 | + | 3.24019i | −0.0821360 | + | 0.149300i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.95045 | + | 5.89972i | 0.227622 | + | 0.271269i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.53939 | + | 4.22944i | 0.0706321 | + | 0.194060i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −9.09441 | + | 28.6105i | −0.416404 | + | 1.30999i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −0.400967 | + | 2.27400i | −0.0183207 | + | 0.103902i | −0.992597 | − | 0.121456i | \(-0.961244\pi\) |
0.974276 | + | 0.225357i | \(0.0723549\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 33.6784 | + | 12.2579i | 1.53560 | + | 0.558914i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −23.0886 | − | 3.58129i | −1.05057 | − | 0.162955i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 20.0940i | − | 0.912421i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.8187i | 0.490242i | 0.969492 | + | 0.245121i | \(0.0788277\pi\) | ||||
−0.969492 | + | 0.245121i | \(0.921172\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 39.4231 | + | 6.11495i | 1.78277 | + | 0.276527i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −37.8763 | − | 13.7858i | −1.70933 | − | 0.622146i | −0.712499 | − | 0.701673i | \(-0.752437\pi\) |
−0.996833 | + | 0.0795275i | \(0.974659\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.73068 | + | 9.81519i | −0.0779461 | + | 0.442054i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −3.25515 | + | 10.2405i | −0.146308 | + | 0.460277i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −17.4450 | − | 47.9298i | −0.782516 | − | 2.14995i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.0797 | + | 14.3960i | 0.540760 | + | 0.644452i | 0.965358 | − | 0.260930i | \(-0.0840290\pi\) |
−0.424598 | + | 0.905382i | \(0.639585\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −19.7225 | + | 35.8501i | −0.881138 | + | 1.60166i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −4.44979 | − | 7.70726i | −0.198406 | − | 0.343650i | 0.749606 | − | 0.661885i | \(-0.230243\pi\) |
−0.948012 | + | 0.318235i | \(0.896910\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.19865 | + | 9.00432i | −0.231337 | + | 0.400687i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 5.67446 | + | 1.93361i | 0.252012 | + | 0.0858748i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 16.1048 | − | 2.83970i | 0.713831 | − | 0.125868i | 0.195073 | − | 0.980789i | \(-0.437506\pi\) |
0.518758 | + | 0.854921i | \(0.326395\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 25.4547 | − | 30.3358i | 1.12605 | − | 1.34198i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 10.2098 | − | 6.77037i | 0.450776 | − | 0.298919i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 4.32580 | + | 3.62978i | 0.190618 | + | 0.159947i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.47332 | + | 25.3695i | 0.196736 | + | 1.11575i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −6.29740 | + | 1.24498i | −0.276425 | + | 0.0546488i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.28398 | + | 3.05071i | 0.231495 | + | 0.133654i | 0.611262 | − | 0.791429i | \(-0.290662\pi\) |
−0.379766 | + | 0.925082i | \(0.623996\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 26.2053 | − | 15.1297i | 1.14588 | − | 0.661574i | 0.198000 | − | 0.980202i | \(-0.436555\pi\) |
0.947880 | + | 0.318628i | \(0.103222\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −9.52787 | + | 5.76644i | −0.415830 | + | 0.251668i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 12.3553 | − | 10.3673i | 0.538206 | − | 0.451608i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 6.53952 | − | 2.38019i | 0.284327 | − | 0.103487i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −15.6738 | − | 12.0852i | −0.680184 | − | 0.524453i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −41.5077 | − | 7.31893i | −1.79790 | − | 0.317018i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.43318 | + | 3.93763i | −0.0619617 | + | 0.170238i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.7933 | + | 6.12044i | −0.681530 | + | 0.264117i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 8.85051 | 0.381218 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −7.88737 | −0.339105 | −0.169552 | − | 0.985521i | \(-0.554232\pi\) | ||||
−0.169552 | + | 0.985521i | \(0.554232\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −6.02287 | − | 4.84545i | −0.258466 | − | 0.207938i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −2.80952 | + | 7.71910i | −0.120347 | + | 0.330650i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −18.7310 | − | 3.30278i | −0.800878 | − | 0.141216i | −0.241794 | − | 0.970327i | \(-0.577736\pi\) |
−0.559084 | + | 0.829111i | \(0.688847\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0.582663 | − | 1.11293i | 0.0248675 | − | 0.0474987i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.52440 | − | 2.37469i | 0.277949 | − | 0.101165i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −20.1081 | + | 16.8727i | −0.855081 | + | 0.717499i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0.555391 | + | 26.8936i | 0.0235750 | + | 1.14157i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.52729 | − | 2.03648i | 0.149456 | − | 0.0862886i | −0.423407 | − | 0.905940i | \(-0.639166\pi\) |
0.572863 | + | 0.819651i | \(0.305833\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 13.2825 | + | 7.66868i | 0.561792 | + | 0.324351i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −7.86362 | − | 8.98789i | −0.332002 | − | 0.379469i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −1.67761 | − | 9.51422i | −0.0707030 | − | 0.400976i | −0.999535 | − | 0.0304766i | \(-0.990298\pi\) |
0.928833 | − | 0.370500i | \(-0.120814\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.6794 | + | 17.3521i | 0.869989 | + | 0.730007i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 21.3342 | + | 21.5345i | 0.895951 | + | 0.904364i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −18.7820 | + | 22.3835i | −0.787382 | + | 0.938365i | −0.999242 | − | 0.0389352i | \(-0.987603\pi\) |
0.211860 | + | 0.977300i | \(0.432048\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 29.7351 | − | 5.24311i | 1.24438 | − | 0.219417i | 0.487587 | − | 0.873075i | \(-0.337877\pi\) |
0.756791 | + | 0.653657i | \(0.226766\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.89607 | + | 1.65890i | −0.0792096 | + | 0.0693015i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −3.82298 | + | 6.62160i | −0.159429 | + | 0.276140i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.3102 | + | 19.5898i | 0.470848 | + | 0.815532i | 0.999444 | − | 0.0333411i | \(-0.0106148\pi\) |
−0.528596 | + | 0.848873i | \(0.677281\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 28.8613 | − | 0.596026i | 1.19944 | − | 0.0247700i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −35.5560 | − | 42.3739i | −1.47511 | − | 1.75797i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.97292 | − | 19.1580i | −0.288789 | − | 0.793441i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.883468 | + | 21.3809i | 0.0365269 | + | 0.883992i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 2.91625 | − | 16.5389i | 0.120367 | − | 0.682633i | −0.863586 | − | 0.504202i | \(-0.831787\pi\) |
0.983952 | − | 0.178431i | \(-0.0571021\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.5583 | − | 3.84290i | −0.435046 | − | 0.158344i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.617118 | + | 0.767075i | −0.0253848 | + | 0.0315533i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 29.7423i | − | 1.22137i | −0.791874 | − | 0.610685i | \(-0.790894\pi\) | ||
0.791874 | − | 0.610685i | \(-0.209106\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 20.0403i | 0.821570i | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 10.0926 | + | 26.0430i | 0.413061 | + | 1.06587i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 37.6477 | + | 13.7027i | 1.53824 | + | 0.559875i | 0.965624 | − | 0.259945i | \(-0.0837043\pi\) |
0.572621 | + | 0.819820i | \(0.305927\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.169116 | − | 0.959102i | 0.00689837 | − | 0.0391226i | −0.981164 | − | 0.193175i | \(-0.938121\pi\) |
0.988063 | + | 0.154053i | \(0.0492325\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 13.8724 | + | 33.7134i | 0.564926 | + | 1.37292i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.11858 | + | 11.3157i | 0.167444 | + | 0.460049i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 26.7728 | + | 31.9065i | 1.08667 | + | 1.29505i | 0.952651 | + | 0.304067i | \(0.0983448\pi\) |
0.134022 | + | 0.990978i | \(0.457211\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 8.89539 | + | 14.6978i | 0.360459 | + | 0.595586i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 25.6509 | + | 44.4287i | 1.03772 | + | 1.79739i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.4932 | − | 19.9068i | 0.464207 | − | 0.804029i | −0.534959 | − | 0.844878i | \(-0.679673\pi\) |
0.999165 | + | 0.0408488i | \(0.0130062\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −6.13523 | − | 31.0333i | −0.247396 | − | 1.25138i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 40.0276 | − | 7.05794i | 1.61145 | − | 0.284142i | 0.705877 | − | 0.708334i | \(-0.250553\pi\) |
0.905572 | + | 0.424192i | \(0.139442\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.5190 | + | 20.8783i | −0.704147 | + | 0.839169i | −0.992989 | − | 0.118207i | \(-0.962285\pi\) |
0.288842 | + | 0.957377i | \(0.406730\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 19.9591 | + | 5.89353i | 0.800933 | + | 0.236499i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −8.37368 | − | 7.02635i | −0.335484 | − | 0.281505i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −2.05082 | − | 11.6308i | −0.0820328 | − | 0.465231i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −2.68341 | + | 7.87482i | −0.107165 | + | 0.314490i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −25.8903 | − | 14.9478i | −1.03231 | − | 0.596007i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −34.4360 | + | 19.8817i | −1.37088 | + | 0.791476i | −0.991039 | − | 0.133577i | \(-0.957354\pi\) |
−0.379839 | + | 0.925053i | \(0.624020\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −9.33149 | − | 5.13362i | −0.370893 | − | 0.204043i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −11.3997 | + | 9.56551i | −0.452384 | + | 0.379596i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 16.5625 | − | 6.02827i | 0.656232 | − | 0.238849i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 9.72945 | + | 44.3771i | 0.384891 | + | 1.75553i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 16.0784 | + | 2.83506i | 0.635060 | + | 0.111978i | 0.481904 | − | 0.876224i | \(-0.339945\pi\) |
0.153156 | + | 0.988202i | \(0.451056\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 12.5805 | − | 34.5646i | 0.496126 | − | 1.36309i | −0.398865 | − | 0.917010i | \(-0.630596\pi\) |
0.894991 | − | 0.446084i | \(-0.147182\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.76444 | + | 11.3753i | −0.0694746 | + | 0.447903i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −16.3460 | −0.642627 | −0.321314 | − | 0.946973i | \(-0.604124\pi\) | ||||
−0.321314 | + | 0.946973i | \(0.604124\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 13.4407 | 0.527595 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 4.26144 | − | 27.4735i | 0.167019 | − | 1.07677i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −14.5391 | + | 39.9459i | −0.568960 | + | 1.56320i | 0.237172 | + | 0.971468i | \(0.423779\pi\) |
−0.806132 | + | 0.591736i | \(0.798443\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.88920 | + | 1.03842i | 0.230110 | + | 0.0405746i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −26.0612 | + | 23.7689i | −1.01674 | + | 0.927312i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 38.5139 | − | 14.0179i | 1.50029 | − | 0.546060i | 0.544153 | − | 0.838986i | \(-0.316851\pi\) |
0.956135 | + | 0.292926i | \(0.0946290\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 24.6279 | − | 20.6653i | 0.957916 | − | 0.803787i | −0.0226971 | − | 0.999742i | \(-0.507225\pi\) |
0.980613 | + | 0.195956i | \(0.0627809\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −20.8376 | − | 11.4636i | −0.809263 | − | 0.445208i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 12.0904 | − | 6.98040i | 0.468846 | − | 0.270688i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 10.2146 | + | 5.89739i | 0.395510 | + | 0.228348i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 3.84674 | − | 11.2888i | 0.148724 | − | 0.436450i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.148141 | + | 0.840148i | 0.00571891 | + | 0.0324335i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 14.3659 | + | 12.0545i | 0.553767 | + | 0.464665i | 0.876214 | − | 0.481922i | \(-0.160061\pi\) |
−0.322447 | + | 0.946587i | \(0.604506\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 9.09361 | − | 3.96331i | 0.350013 | − | 0.152548i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 29.7738 | − | 35.4831i | 1.14430 | − | 1.36373i | 0.223027 | − | 0.974812i | \(-0.428406\pi\) |
0.921275 | − | 0.388913i | \(-0.127149\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 37.9105 | − | 6.68465i | 1.45487 | − | 0.256533i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.86393 | − | 34.7192i | −0.263026 | − | 1.33044i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −11.4472 | + | 19.8272i | −0.438016 | + | 0.758666i | −0.997536 | − | 0.0701505i | \(-0.977652\pi\) |
0.559520 | + | 0.828817i | \(0.310985\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.29807 | + | 9.17653i | 0.202429 | + | 0.350617i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −4.32312 | − | 7.14307i | −0.164937 | − | 0.272525i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −26.0978 | − | 31.1021i | −0.994247 | − | 1.18490i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.74396 | − | 21.2764i | −0.294594 | − | 0.809391i | −0.995380 | − | 0.0960186i | \(-0.969389\pi\) |
0.700785 | − | 0.713372i | \(-0.252833\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −20.4032 | − | 2.73465i | −0.775055 | − | 0.103881i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −5.74091 | + | 32.5583i | −0.217765 | + | 1.23501i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 33.0372 | + | 12.0246i | 1.25137 | + | 0.455463i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −4.12375 | − | 10.6410i | −0.155975 | − | 0.402480i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 4.91265i | 0.185548i | 0.995687 | + | 0.0927741i | \(0.0295735\pi\) | ||||
−0.995687 | + | 0.0927741i | \(0.970427\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 20.8264i | 0.785482i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −24.1358 | + | 30.0007i | −0.909006 | + | 1.12989i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −18.7175 | − | 6.81261i | −0.703944 | − | 0.256215i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.99743 | − | 16.9993i | 0.112571 | − | 0.638421i | −0.875354 | − | 0.483483i | \(-0.839371\pi\) |
0.987924 | − | 0.154937i | \(-0.0495176\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 19.7480 | − | 12.5161i | 0.740609 | − | 0.469391i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −6.52820 | − | 17.9361i | −0.244483 | − | 0.671712i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.34114 | − | 11.1323i | −0.349339 | − | 0.416326i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −17.7606 | + | 0.366781i | −0.663281 | + | 0.0136977i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 13.2483 | + | 22.9467i | 0.494077 | + | 0.855767i | 0.999977 | − | 0.00682566i | \(-0.00217269\pi\) |
−0.505900 | + | 0.862592i | \(0.668839\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.40910 | + | 9.36883i | −0.201445 | + | 0.348913i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 28.3058 | − | 24.7651i | 1.05270 | − | 0.921023i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 5.53665 | − | 0.976262i | 0.205626 | − | 0.0362574i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.7022 | + | 15.1379i | −0.471098 | + | 0.561433i | −0.948306 | − | 0.317357i | \(-0.897205\pi\) |
0.477208 | + | 0.878791i | \(0.341649\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −16.2860 | − | 21.5352i | −0.603186 | − | 0.797601i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −9.80043 | − | 8.22354i | −0.362482 | − | 0.304159i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −2.32265 | − | 13.1724i | −0.0857892 | − | 0.486535i | −0.997184 | − | 0.0750004i | \(-0.976104\pi\) |
0.911394 | − | 0.411534i | \(-0.135007\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 8.71067 | + | 9.95605i | 0.321298 | + | 0.367234i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −21.4405 | − | 12.3787i | −0.789770 | − | 0.455974i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.2507 | + | 10.5370i | −0.671363 | + | 0.387611i | −0.796593 | − | 0.604516i | \(-0.793366\pi\) |
0.125230 | + | 0.992128i | \(0.460033\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0.342078 | + | 16.5644i | 0.0125665 | + | 0.608509i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 25.5261 | − | 21.4190i | 0.936463 | − | 0.785786i | −0.0405033 | − | 0.999179i | \(-0.512896\pi\) |
0.976966 | + | 0.213394i | \(0.0684517\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.51209 | + | 0.914326i | −0.0920358 | + | 0.0334983i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 26.3754 | + | 41.6153i | 0.965024 | + | 1.52262i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −7.90573 | − | 1.39399i | −0.288869 | − | 0.0509354i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.9383 | + | 38.2951i | −0.508615 | + | 1.39741i | 0.374051 | + | 0.927408i | \(0.377969\pi\) |
−0.882666 | + | 0.470001i | \(0.844254\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 18.9016 | + | 15.2065i | 0.688814 | + | 0.554156i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 30.7488 | 1.11906 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 52.2535 | 1.89919 | 0.949593 | − | 0.313487i | \(-0.101497\pi\) | ||||
0.949593 | + | 0.313487i | \(0.101497\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −13.1779 | + | 5.10690i | −0.478328 | + | 0.185369i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.53784 | − | 26.2050i | 0.345746 | − | 0.949930i | −0.637948 | − | 0.770080i | \(-0.720216\pi\) |
0.983694 | − | 0.179851i | \(-0.0575614\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −15.4979 | − | 2.73271i | −0.561063 | − | 0.0989306i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 2.37123 | − | 17.6918i | 0.0857319 | − | 0.639647i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 25.1525 | − | 9.15477i | 0.908205 | − | 0.330560i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 8.86910 | − | 7.44206i | 0.319828 | − | 0.268368i | −0.468712 | − | 0.883351i | \(-0.655282\pi\) |
0.788540 | + | 0.614983i | \(0.210837\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 37.4151 | − | 22.6443i | 1.34747 | − | 0.815514i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 2.47753 | − | 1.43040i | 0.0891105 | − | 0.0514480i | −0.454783 | − | 0.890603i | \(-0.650283\pi\) |
0.543893 | + | 0.839155i | \(0.316950\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −7.87914 | − | 4.54902i | −0.283027 | − | 0.163406i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −50.5544 | + | 9.99451i | −1.81363 | + | 0.358551i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −4.25300 | − | 24.1200i | −0.152380 | − | 0.864187i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −23.6343 | − | 19.8316i | −0.845703 | − | 0.709629i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.11385 | − | 14.0279i | −0.218491 | − | 0.501318i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.41289 | − | 2.87557i | 0.0861198 | − | 0.102634i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.8499 | − | 3.67640i | 0.743219 | − | 0.131050i | 0.210798 | − | 0.977530i | \(-0.432394\pi\) |
0.532420 | + | 0.846480i | \(0.321283\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −5.12445 | − | 1.74620i | −0.182435 | − | 0.0621662i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −25.8580 | + | 44.7874i | −0.919406 | + | 1.59246i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.849468 | + | 1.47132i | 0.0301655 | + | 0.0522482i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 14.6883 | − | 26.6992i | 0.520939 | − | 0.946922i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −17.6420 | − | 21.0249i | −0.624911 | − | 0.744740i | 0.356996 | − | 0.934106i | \(-0.383801\pi\) |
−0.981907 | + | 0.189366i | \(0.939357\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −14.6361 | − | 40.2123i | −0.517788 | − | 1.42261i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.56100 | + | 7.19374i | 0.231822 | + | 0.254178i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.15950 | − | 23.5897i | 0.146786 | − | 0.832462i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 22.2860 | + | 8.11142i | 0.785477 | + | 0.285890i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −36.1394 | − | 5.60560i | −1.27217 | − | 0.197327i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 41.4523i | 1.45738i | 0.684842 | + | 0.728692i | \(0.259871\pi\) | ||||
−0.684842 | + | 0.728692i | \(0.740129\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 42.2247i | − | 1.48271i | −0.671113 | − | 0.741355i | \(-0.734184\pi\) | ||
0.671113 | − | 0.741355i | \(-0.265816\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −2.73963 | − | 0.424946i | −0.0960831 | − | 0.0149035i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −38.0525 | − | 13.8500i | −1.33292 | − | 0.485144i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −1.54764 | + | 8.77708i | −0.0541449 | + | 0.307071i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −40.0446 | + | 8.77956i | −1.39927 | + | 0.306783i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 10.9108 | + | 29.9771i | 0.380789 | + | 1.04621i | 0.971025 | + | 0.238978i | \(0.0768122\pi\) |
−0.590237 | + | 0.807230i | \(0.700966\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 27.8560 | + | 33.1975i | 0.970999 | + | 1.15719i | 0.987546 | + | 0.157329i | \(0.0502883\pi\) |
−0.0165468 | + | 0.999863i | \(0.505267\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −3.24710 | + | 5.90231i | −0.113049 | + | 0.205492i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 1.71924 | + | 2.97781i | 0.0597839 | + | 0.103549i | 0.894368 | − | 0.447331i | \(-0.147626\pi\) |
−0.834584 | + | 0.550880i | \(0.814292\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −3.02819 | + | 5.24497i | −0.105173 | + | 0.182165i | −0.913809 | − | 0.406144i | \(-0.866873\pi\) |
0.808636 | + | 0.588310i | \(0.200206\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −15.4007 | − | 5.24792i | −0.534246 | − | 0.182048i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −14.4788 | + | 2.55301i | −0.501662 | + | 0.0884565i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 26.6966 | − | 31.8158i | 0.923875 | − | 1.10103i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −7.01280 | + | 23.7497i | −0.242398 | + | 0.820910i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −11.3788 | − | 9.54796i | −0.392840 | − | 0.329632i | 0.424878 | − | 0.905251i | \(-0.360317\pi\) |
−0.817718 | + | 0.575618i | \(0.804761\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 3.52980 | + | 20.0185i | 0.121717 | + | 0.690293i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −39.7670 | + | 7.86186i | −1.36965 | + | 0.270777i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −5.26980 | − | 3.04252i | −0.181287 | − | 0.104666i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −19.9788 | + | 11.5347i | −0.686478 | + | 0.396339i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 28.8083 | − | 17.4353i | 0.988699 | − | 0.598378i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −27.1021 | + | 22.7414i | −0.929048 | + | 0.779564i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −13.5897 | + | 4.94624i | −0.465302 | + | 0.169356i | −0.564023 | − | 0.825759i | \(-0.690747\pi\) |
0.0987209 | + | 0.995115i | \(0.468525\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −11.4995 | + | 4.73180i | −0.393274 | + | 0.161824i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 42.4672 | + | 7.48812i | 1.45065 | + | 0.255789i | 0.842786 | − | 0.538249i | \(-0.180914\pi\) |
0.607867 | + | 0.794039i | \(0.292025\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.46996 | + | 4.03868i | −0.0501544 | + | 0.137798i | −0.962241 | − | 0.272201i | \(-0.912249\pi\) |
0.912086 | + | 0.409999i | \(0.134471\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 56.5082 | − | 21.8989i | 1.92580 | − | 0.746312i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −6.00632 | −0.204458 | −0.102229 | − | 0.994761i | \(-0.532597\pi\) | ||||
−0.102229 | + | 0.994761i | \(0.532597\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 6.51586 | 0.221546 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.48507 | − | 6.02179i | −0.254206 | − | 0.204511i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −5.43047 | + | 14.9201i | −0.184216 | + | 0.506130i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −48.5544 | − | 8.56145i | −1.64520 | − | 0.290094i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −34.2588 | + | 1.41559i | −1.15948 | + | 0.0479103i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 38.4448 | − | 13.9928i | 1.29967 | − | 0.473041i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.42320 | − | 1.19421i | 0.0480580 | − | 0.0403255i | −0.618442 | − | 0.785830i | \(-0.712236\pi\) |
0.666500 | + | 0.745505i | \(0.267792\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 1.12627 | + | 54.5374i | 0.0379883 | + | 1.83950i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −6.71329 | + | 3.87592i | −0.226177 | + | 0.130583i | −0.608807 | − | 0.793318i | \(-0.708352\pi\) |
0.382630 | + | 0.923902i | \(0.375018\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.22295 | − | 5.32487i | −0.310377 | − | 0.179196i | 0.336718 | − | 0.941605i | \(-0.390683\pi\) |
−0.647095 | + | 0.762409i | \(0.724016\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 13.2284 | + | 15.1197i | 0.444667 | + | 0.508242i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −3.81854 | − | 21.6560i | −0.128214 | − | 0.727138i | −0.979347 | − | 0.202188i | \(-0.935195\pi\) |
0.851133 | − | 0.524951i | \(-0.175916\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −21.8392 | − | 18.3252i | −0.732463 | − | 0.614609i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 17.6886 | + | 4.82835i | 0.592592 | + | 0.161756i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −19.1623 | + | 22.8368i | −0.641243 | + | 0.764203i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 16.9314 | − | 2.98546i | 0.565953 | − | 0.0997928i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −21.1823 | + | 18.5326i | −0.707256 | + | 0.618787i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −7.01739 | + | 12.1545i | −0.234043 | + | 0.405375i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.9335 | + | 29.3297i | 0.564137 | + | 0.977114i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −22.0483 | + | 0.455329i | −0.733723 | + | 0.0151524i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 5.04352 | + | 6.01063i | 0.167652 | + | 0.199800i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.63320 | + | 20.9721i | 0.253456 | + | 0.696366i | 0.999535 | + | 0.0305073i | \(0.00971228\pi\) |
−0.746078 | + | 0.665858i | \(0.768065\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 15.7179 | + | 8.22897i | 0.521331 | + | 0.272938i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 2.00814 | − | 11.3887i | 0.0665327 | − | 0.377326i | −0.933301 | − | 0.359095i | \(-0.883085\pi\) |
0.999834 | − | 0.0182309i | \(-0.00580341\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −31.4413 | − | 11.4437i | −1.04055 | − | 0.378731i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −0.799293 | + | 0.993518i | −0.0264238 | + | 0.0328447i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 11.4564i | 0.378322i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 35.4086i | 1.16802i | 0.811746 | + | 0.584011i | \(0.198517\pi\) | ||||
−0.811746 | + | 0.584011i | \(0.801483\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 1.11675 | + | 2.88168i | 0.0367981 | + | 0.0949545i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −57.7362 | − | 21.0143i | −1.90041 | − | 0.691693i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.92837 | + | 16.6076i | −0.0962842 | + | 0.546055i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 5.88376 | − | 7.63088i | 0.193248 | − | 0.250631i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −4.75085 | − | 13.0528i | −0.155870 | − | 0.428250i | 0.837036 | − | 0.547147i | \(-0.184286\pi\) |
−0.992907 | + | 0.118897i | \(0.962064\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.58350 | + | 7.84591i | 0.215765 | + | 0.257139i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 9.87650 | + | 16.3189i | 0.323342 | + | 0.534257i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 6.06098 | + | 10.4979i | 0.198215 | + | 0.343319i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.62506 | − | 4.54673i | 0.0857569 | − | 0.148535i | −0.819957 | − | 0.572426i | \(-0.806002\pi\) |
0.905714 | + | 0.423890i | \(0.139336\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −6.45909 | − | 32.6715i | −0.210785 | − | 1.06619i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 24.7575 | − | 4.36542i | 0.807072 | − | 0.142309i | 0.245135 | − | 0.969489i | \(-0.421168\pi\) |
0.561936 | + | 0.827180i | \(0.310057\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 26.7441 | − | 31.8724i | 0.870907 | − | 1.03791i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −17.0046 | − | 25.6433i | −0.553160 | − | 0.834177i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −26.3507 | − | 22.1108i | −0.856282 | − | 0.718506i | 0.104882 | − | 0.994485i | \(-0.466553\pi\) |
−0.961164 | + | 0.275979i | \(0.910998\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −8.28350 | − | 46.9781i | −0.268894 | − | 1.52497i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −12.3386 | + | 36.2094i | −0.400108 | + | 1.17417i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −6.30853 | − | 3.64223i | −0.204353 | − | 0.117984i | 0.394331 | − | 0.918968i | \(-0.370976\pi\) |
−0.598684 | + | 0.800985i | \(0.704310\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.21463 | − | 1.27862i | 0.0716637 | − | 0.0413751i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 9.10500 | + | 5.00902i | 0.294323 | + | 0.161919i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −15.5505 | + | 13.0484i | −0.502151 | + | 0.421355i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −7.78805 | + | 2.83462i | −0.251227 | + | 0.0914393i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 6.81432 | + | 2.16606i | 0.219589 | + | 0.0698005i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −28.8566 | − | 5.08819i | −0.928926 | − | 0.163795i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 16.9994 | − | 46.7055i | 0.546664 | − | 1.50195i | −0.291524 | − | 0.956564i | \(-0.594162\pi\) |
0.838187 | − | 0.545383i | \(-0.183616\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.11831 | − | 13.6567i | 0.0680498 | − | 0.438717i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 10.4064 | 0.333956 | 0.166978 | − | 0.985961i | \(-0.446599\pi\) | ||||
0.166978 | + | 0.985961i | \(0.446599\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −63.3362 | −2.03047 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −2.05631 | + | 13.2571i | −0.0658547 | + | 0.424566i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 5.41567 | − | 14.8794i | 0.173263 | − | 0.476036i | −0.822417 | − | 0.568885i | \(-0.807375\pi\) |
0.995680 | + | 0.0928489i | \(0.0295974\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −6.51154 | − | 1.14816i | −0.208110 | − | 0.0366954i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 13.3584 | + | 4.24623i | 0.426501 | + | 0.135572i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 11.6932 | − | 4.25598i | 0.372956 | − | 0.135745i | −0.148740 | − | 0.988876i | \(-0.547522\pi\) |
0.521696 | + | 0.853132i | \(0.325300\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.765516 | − | 0.642344i | 0.0243914 | − | 0.0204668i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −64.6303 | − | 35.5557i | −2.05721 | − | 1.13175i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −13.1119 | + | 7.57013i | −0.416933 | + | 0.240716i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −31.3417 | − | 18.0951i | −0.995601 | − | 0.574811i | −0.0886575 | − | 0.996062i | \(-0.528258\pi\) |
−0.906944 | + | 0.421251i | \(0.861591\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −7.55873 | + | 22.1821i | −0.239869 | + | 0.703929i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.92299 | − | 27.9197i | −0.156069 | − | 0.885113i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 20.8072 | + | 17.4593i | 0.658971 | + | 0.552942i | 0.909778 | − | 0.415095i | \(-0.136252\pi\) |
−0.250807 | + | 0.968037i | \(0.580696\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 45.8125 | − | 2.84151i | 1.44944 | − | 0.0899014i |
(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 | 432.2.be.a.335.3 | ✓ | 36 | |
4.3 | odd | 2 | inner | 432.2.be.a.335.4 | yes | 36 | |
27.5 | odd | 18 | inner | 432.2.be.a.383.4 | yes | 36 | |
108.59 | even | 18 | inner | 432.2.be.a.383.3 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.be.a.335.3 | ✓ | 36 | 1.1 | even | 1 | trivial | |
432.2.be.a.335.4 | yes | 36 | 4.3 | odd | 2 | inner | |
432.2.be.a.383.3 | yes | 36 | 108.59 | even | 18 | inner | |
432.2.be.a.383.4 | yes | 36 | 27.5 | odd | 18 | inner |