Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [324,3,Mod(19,324)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(324, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 16]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("324.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 324 = 2^{2} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 324.j (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: | \(8.82836056527\) |
Analytic rank: | \(0\) |
Dimension: | \(204\) |
Relative dimension: | \(34\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 108) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 19.19 | ||
Character | \(\chi\) | \(=\) | 324.19 |
Dual form | 324.3.j.a.307.19 |
$q$-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 \(\left(\mathbb{Z}/324\mathbb{Z}\right)^\times\).
\(n\) | \(163\) | \(245\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.443343 | − | 1.95024i | 0.221671 | − | 0.975121i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −3.60689 | − | 1.72925i | −0.901724 | − | 0.432313i | ||||
\(5\) | 0.890579 | + | 5.05073i | 0.178116 | + | 1.01015i | 0.934486 | + | 0.356001i | \(0.115860\pi\) |
−0.756370 | + | 0.654144i | \(0.773029\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.0265129 | + | 0.0315969i | −0.00378756 | + | 0.00451384i | −0.767935 | − | 0.640528i | \(-0.778716\pi\) |
0.764147 | + | 0.645042i | \(0.223160\pi\) | |||||||
\(8\) | −4.97155 | + | 6.26767i | −0.621444 | + | 0.783459i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 10.2450 | + | 0.502357i | 1.02450 | + | 0.0502357i | ||||
\(11\) | 4.18050 | + | 0.737135i | 0.380045 | + | 0.0670123i | 0.360408 | − | 0.932795i | \(-0.382638\pi\) |
0.0196378 | + | 0.999807i | \(0.493749\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.91152 | − | 0.695736i | −0.147040 | − | 0.0535182i | 0.267452 | − | 0.963571i | \(-0.413818\pi\) |
−0.414492 | + | 0.910053i | \(0.636041\pi\) | |||||||
\(14\) | 0.0498672 | + | 0.0657149i | 0.00356195 | + | 0.00469392i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 10.0194 | + | 12.4745i | 0.626211 | + | 0.779654i | ||||
\(17\) | 15.1353 | + | 26.2152i | 0.890313 | + | 1.54207i | 0.839500 | + | 0.543359i | \(0.182848\pi\) |
0.0508130 | + | 0.998708i | \(0.483819\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.91027 | + | 3.41230i | 0.311067 | + | 0.179595i | 0.647404 | − | 0.762147i | \(-0.275855\pi\) |
−0.336337 | + | 0.941742i | \(0.609188\pi\) | |||||||
\(20\) | 5.52176 | − | 19.7575i | 0.276088 | − | 0.987874i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 3.29099 | − | 7.82619i | 0.149590 | − | 0.355736i | ||||
\(23\) | 25.3540 | + | 30.2157i | 1.10235 | + | 1.31373i | 0.945324 | + | 0.326133i | \(0.105746\pi\) |
0.157024 | + | 0.987595i | \(0.449810\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.22440 | + | 0.445645i | −0.0489760 | + | 0.0178258i | ||||
\(26\) | −2.20431 | + | 3.41948i | −0.0847813 | + | 0.131518i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.150268 | − | 0.0681190i | 0.00536672 | − | 0.00243282i | ||||
\(29\) | 20.7044 | − | 7.53578i | 0.713944 | − | 0.259854i | 0.0405915 | − | 0.999176i | \(-0.487076\pi\) |
0.673353 | + | 0.739321i | \(0.264854\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −25.1859 | − | 30.0153i | −0.812447 | − | 0.968237i | 0.187454 | − | 0.982273i | \(-0.439976\pi\) |
−0.999901 | + | 0.0140364i | \(0.995532\pi\) | |||||||
\(32\) | 28.7702 | − | 14.0097i | 0.899070 | − | 0.437805i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 57.8360 | − | 17.8953i | 1.70106 | − | 0.526331i | ||||
\(35\) | −0.183199 | − | 0.105770i | −0.00523426 | − | 0.00302200i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 15.9508 | + | 27.6276i | 0.431103 | + | 0.746693i | 0.996969 | − | 0.0778047i | \(-0.0247911\pi\) |
−0.565865 | + | 0.824498i | \(0.691458\pi\) | |||||||
\(38\) | 9.27508 | − | 10.0136i | 0.244081 | − | 0.263517i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −36.0838 | − | 19.5281i | −0.902096 | − | 0.488203i | ||||
\(41\) | −53.8833 | − | 19.6119i | −1.31423 | − | 0.478340i | −0.412623 | − | 0.910902i | \(-0.635387\pi\) |
−0.901604 | + | 0.432562i | \(0.857610\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −40.8395 | − | 7.20111i | −0.949756 | − | 0.167468i | −0.322752 | − | 0.946484i | \(-0.604608\pi\) |
−0.627004 | + | 0.779016i | \(0.715719\pi\) | |||||||
\(44\) | −13.8039 | − | 9.88791i | −0.313726 | − | 0.224725i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 70.1685 | − | 36.0505i | 1.52540 | − | 0.783708i | ||||
\(47\) | 9.40005 | − | 11.2025i | 0.200001 | − | 0.238352i | −0.656717 | − | 0.754137i | \(-0.728055\pi\) |
0.856718 | + | 0.515785i | \(0.172500\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 8.50847 | + | 48.2539i | 0.173642 | + | 0.984774i | ||||
\(50\) | 0.326287 | + | 2.58545i | 0.00652574 | + | 0.0517090i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 5.69155 | + | 5.81495i | 0.109453 | + | 0.111826i | ||||
\(53\) | 43.0946 | 0.813105 | 0.406553 | − | 0.913627i | \(-0.366731\pi\) | ||||
0.406553 | + | 0.913627i | \(0.366731\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 21.7710i | 0.395837i | ||||||||
\(56\) | −0.0662283 | − | 0.323260i | −0.00118265 | − | 0.00577249i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.51746 | − | 43.7195i | −0.0951286 | − | 0.753785i | ||||
\(59\) | −40.5818 | + | 7.15567i | −0.687828 | + | 0.121283i | −0.506629 | − | 0.862164i | \(-0.669109\pi\) |
−0.181199 | + | 0.983447i | \(0.557998\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 14.2464 | + | 11.9542i | 0.233548 | + | 0.195970i | 0.752050 | − | 0.659107i | \(-0.229065\pi\) |
−0.518501 | + | 0.855077i | \(0.673510\pi\) | |||||||
\(62\) | −69.7032 | + | 35.8115i | −1.12424 | + | 0.577604i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −14.5673 | − | 62.3201i | −0.227614 | − | 0.973751i | ||||
\(65\) | 1.81161 | − | 10.2742i | 0.0278710 | − | 0.158064i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −16.7275 | + | 45.9585i | −0.249664 | + | 0.685948i | 0.750034 | + | 0.661399i | \(0.230037\pi\) |
−0.999699 | + | 0.0245484i | \(0.992185\pi\) | |||||||
\(68\) | −9.25890 | − | 120.728i | −0.136160 | − | 1.77541i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.287497 | + | 0.310390i | −0.00410710 | + | 0.00443414i | ||||
\(71\) | −111.053 | + | 64.1166i | −1.56413 | + | 0.903051i | −0.567298 | + | 0.823512i | \(0.692011\pi\) |
−0.996832 | + | 0.0795386i | \(0.974655\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 63.7153 | − | 110.358i | 0.872813 | − | 1.51176i | 0.0137383 | − | 0.999906i | \(-0.495627\pi\) |
0.859075 | − | 0.511851i | \(-0.171040\pi\) | |||||||
\(74\) | 60.9523 | − | 18.8595i | 0.823680 | − | 0.254858i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −15.4170 | − | 22.5281i | −0.202855 | − | 0.296423i | ||||
\(77\) | −0.134128 | + | 0.112547i | −0.00174193 | + | 0.00146165i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.11267 | − | 3.05705i | −0.0140845 | − | 0.0386968i | 0.932451 | − | 0.361296i | \(-0.117666\pi\) |
−0.946536 | + | 0.322599i | \(0.895443\pi\) | |||||||
\(80\) | −54.0821 | + | 61.7146i | −0.676026 | + | 0.771433i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −62.1368 | + | 96.3907i | −0.757766 | + | 1.17550i | ||||
\(83\) | 40.0201 | + | 109.954i | 0.482169 | + | 1.32475i | 0.907629 | + | 0.419772i | \(0.137890\pi\) |
−0.425460 | + | 0.904977i | \(0.639888\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −118.926 | + | 99.7911i | −1.39913 | + | 1.17401i | ||||
\(86\) | −32.1498 | + | 76.4544i | −0.373835 | + | 0.889004i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −25.4037 | + | 22.5373i | −0.288678 | + | 0.256105i | ||||
\(89\) | 26.9272 | − | 46.6393i | 0.302553 | − | 0.524037i | −0.674160 | − | 0.738585i | \(-0.735494\pi\) |
0.976714 | + | 0.214548i | \(0.0688277\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.0726630 | − | 0.0419520i | 0.000798495 | − | 0.000461011i | ||||
\(92\) | −39.1986 | − | 152.828i | −0.426072 | − | 1.66118i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −17.6802 | − | 23.2989i | −0.188088 | − | 0.247861i | ||||
\(95\) | −11.9710 | + | 32.8901i | −0.126011 | + | 0.346211i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −5.60171 | + | 31.7689i | −0.0577496 | + | 0.327514i | −0.999972 | − | 0.00747351i | \(-0.997621\pi\) |
0.942222 | + | 0.334988i | \(0.108732\pi\) | |||||||
\(98\) | 97.8790 | + | 4.79945i | 0.998765 | + | 0.0489740i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.18691 | + | 0.509901i | 0.0518691 | + | 0.00509901i | ||||
\(101\) | 105.877 | + | 88.8411i | 1.04828 | + | 0.879615i | 0.992912 | − | 0.118851i | \(-0.0379210\pi\) |
0.0553723 | + | 0.998466i | \(0.482365\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 70.1342 | − | 12.3665i | 0.680914 | − | 0.120064i | 0.177516 | − | 0.984118i | \(-0.443194\pi\) |
0.503398 | + | 0.864054i | \(0.332083\pi\) | |||||||
\(104\) | 13.8639 | − | 8.52188i | 0.133306 | − | 0.0819412i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 19.1057 | − | 84.0449i | 0.180242 | − | 0.792876i | ||||
\(107\) | − | 106.755i | − | 0.997712i | −0.866685 | − | 0.498856i | \(-0.833754\pi\) | ||
0.866685 | − | 0.498856i | \(-0.166246\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 53.1106 | 0.487253 | 0.243627 | − | 0.969869i | \(-0.421663\pi\) | ||||
0.243627 | + | 0.969869i | \(0.421663\pi\) | |||||||
\(110\) | 42.4588 | + | 9.65203i | 0.385989 | + | 0.0877458i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.659797 | − | 0.0141536i | −0.00589104 | − | 0.000126371i | ||||
\(113\) | −22.6559 | − | 128.488i | −0.200494 | − | 1.13706i | −0.904374 | − | 0.426740i | \(-0.859662\pi\) |
0.703880 | − | 0.710319i | \(-0.251449\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −130.032 | + | 154.966i | −1.13071 | + | 1.34753i | ||||
\(116\) | −87.7098 | − | 8.62234i | −0.756119 | − | 0.0743305i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.03637 | + | 82.3169i | −0.0342065 | + | 0.697601i | ||||
\(119\) | −1.22960 | − | 0.216811i | −0.0103328 | − | 0.00182194i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −96.7696 | − | 35.2213i | −0.799749 | − | 0.291085i | ||||
\(122\) | 29.6296 | − | 22.4842i | 0.242866 | − | 0.184297i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 38.9386 | + | 151.815i | 0.314021 | + | 1.22431i | ||||
\(125\) | 60.7668 | + | 105.251i | 0.486134 | + | 0.842009i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −90.4208 | − | 52.2045i | −0.711975 | − | 0.411059i | 0.0998168 | − | 0.995006i | \(-0.468174\pi\) |
−0.811792 | + | 0.583947i | \(0.801508\pi\) | |||||||
\(128\) | −127.998 | + | 0.780665i | −0.999981 | + | 0.00609894i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −19.2340 | − | 8.08807i | −0.147954 | − | 0.0622159i | ||||
\(131\) | −87.8938 | − | 104.748i | −0.670945 | − | 0.799601i | 0.317968 | − | 0.948102i | \(-0.397000\pi\) |
−0.988912 | + | 0.148501i | \(0.952555\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.264516 | + | 0.0962761i | −0.00198884 | + | 0.000723880i | ||||
\(134\) | 82.2142 | + | 52.9981i | 0.613539 | + | 0.395508i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −239.554 | − | 35.4668i | −1.76143 | − | 0.260785i | ||||
\(137\) | −100.206 | + | 36.4722i | −0.731434 | + | 0.266220i | −0.680772 | − | 0.732496i | \(-0.738355\pi\) |
−0.0506624 | + | 0.998716i | \(0.516133\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 55.0613 | + | 65.6195i | 0.396124 | + | 0.472083i | 0.926834 | − | 0.375471i | \(-0.122519\pi\) |
−0.530710 | + | 0.847554i | \(0.678075\pi\) | |||||||
\(140\) | 0.477876 | + | 0.698298i | 0.00341340 | + | 0.00498785i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 75.8083 | + | 245.006i | 0.533861 | + | 1.72540i | ||||
\(143\) | −7.47826 | − | 4.31757i | −0.0522955 | − | 0.0301928i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 56.5001 | + | 97.8610i | 0.389656 | + | 0.674903i | ||||
\(146\) | −186.978 | − | 173.187i | −1.28067 | − | 1.18621i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −9.75778 | − | 127.233i | −0.0659310 | − | 0.859682i | ||||
\(149\) | −147.356 | − | 53.6331i | −0.988965 | − | 0.359954i | −0.203646 | − | 0.979045i | \(-0.565279\pi\) |
−0.785319 | + | 0.619091i | \(0.787501\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −24.6643 | − | 4.34897i | −0.163339 | − | 0.0288011i | 0.0913803 | − | 0.995816i | \(-0.470872\pi\) |
−0.254720 | + | 0.967015i | \(0.581983\pi\) | |||||||
\(152\) | −50.7704 | + | 20.0792i | −0.334015 | + | 0.132100i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.160029 | + | 0.311480i | 0.00103915 | + | 0.00202260i | ||||
\(155\) | 129.169 | − | 153.938i | 0.833350 | − | 0.993148i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −19.7195 | − | 111.835i | −0.125602 | − | 0.712324i | −0.980949 | − | 0.194268i | \(-0.937767\pi\) |
0.855347 | − | 0.518056i | \(-0.173344\pi\) | |||||||
\(158\) | −6.45528 | + | 0.814665i | −0.0408562 | + | 0.00515611i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 96.3816 | + | 132.834i | 0.602385 | + | 0.830212i | ||||
\(161\) | −1.62693 | −0.0101052 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 228.549i | − | 1.40214i | −0.713091 | − | 0.701072i | \(-0.752705\pi\) | ||
0.713091 | − | 0.701072i | \(-0.247295\pi\) | |||||||
\(164\) | 160.437 | + | 163.916i | 0.978277 | + | 0.999488i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 232.180 | − | 29.3014i | 1.39867 | − | 0.176515i | ||||
\(167\) | −15.9992 | + | 2.82109i | −0.0958035 | + | 0.0168927i | −0.221344 | − | 0.975196i | \(-0.571044\pi\) |
0.125541 | + | 0.992088i | \(0.459933\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −126.292 | − | 105.971i | −0.747288 | − | 0.627049i | ||||
\(170\) | 141.892 | + | 276.177i | 0.834657 | + | 1.62457i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 134.851 | + | 96.5954i | 0.784019 | + | 0.561601i | ||||
\(173\) | −16.7323 | + | 94.8933i | −0.0967182 | + | 0.548516i | 0.897489 | + | 0.441037i | \(0.145389\pi\) |
−0.994207 | + | 0.107480i | \(0.965722\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0.0183814 | − | 0.0505025i | 0.000105037 | − | 0.000288586i | ||||
\(176\) | 32.6906 | + | 59.5351i | 0.185742 | + | 0.338268i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −79.0200 | − | 73.1918i | −0.443933 | − | 0.411190i | ||||
\(179\) | 198.630 | − | 114.679i | 1.10967 | − | 0.640666i | 0.170923 | − | 0.985284i | \(-0.445325\pi\) |
0.938743 | + | 0.344619i | \(0.111992\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 154.487 | − | 267.580i | 0.853522 | − | 1.47834i | −0.0244878 | − | 0.999700i | \(-0.507795\pi\) |
0.878010 | − | 0.478643i | \(-0.158871\pi\) | |||||||
\(182\) | −0.0496020 | − | 0.160310i | −0.000272538 | − | 0.000880823i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −315.431 | + | 8.69141i | −1.71430 | + | 0.0472359i | ||||
\(185\) | −125.334 | + | 105.168i | −0.677482 | + | 0.568475i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 43.9491 | + | 120.749i | 0.235022 | + | 0.645718i | ||||
\(188\) | −53.2770 | + | 24.1513i | −0.283388 | + | 0.128465i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 58.8364 | + | 37.9280i | 0.309665 | + | 0.199621i | ||||
\(191\) | 76.7399 | + | 210.841i | 0.401779 | + | 1.10388i | 0.961406 | + | 0.275135i | \(0.0887224\pi\) |
−0.559626 | + | 0.828745i | \(0.689055\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −130.384 | + | 109.405i | −0.675564 | + | 0.566865i | −0.914706 | − | 0.404119i | \(-0.867578\pi\) |
0.239142 | + | 0.970984i | \(0.423134\pi\) | |||||||
\(194\) | 59.4736 | + | 25.0092i | 0.306565 | + | 0.128913i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 52.7540 | − | 188.760i | 0.269153 | − | 0.963061i | ||||
\(197\) | 100.143 | − | 173.453i | 0.508341 | − | 0.880473i | −0.491612 | − | 0.870814i | \(-0.663592\pi\) |
0.999953 | − | 0.00965858i | \(-0.00307447\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 230.445 | − | 133.047i | 1.15801 | − | 0.668579i | 0.207186 | − | 0.978301i | \(-0.433569\pi\) |
0.950827 | + | 0.309722i | \(0.100236\pi\) | |||||||
\(200\) | 3.29401 | − | 9.88967i | 0.0164701 | − | 0.0494484i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 220.201 | − | 167.098i | 1.09011 | − | 0.827219i | ||||
\(203\) | −0.310826 | + | 0.853989i | −0.00153117 | + | 0.00420684i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 51.0671 | − | 289.616i | 0.249108 | − | 1.41276i | ||||
\(206\) | 6.97571 | − | 142.261i | 0.0338627 | − | 0.690589i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.4733 | − | 30.8160i | −0.0503524 | − | 0.148154i | ||||
\(209\) | 22.1926 | + | 18.6218i | 0.106184 | + | 0.0890994i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 393.246 | − | 69.3398i | 1.86372 | − | 0.328625i | 0.875691 | − | 0.482872i | \(-0.160406\pi\) |
0.988032 | + | 0.154247i | \(0.0492953\pi\) | |||||||
\(212\) | −155.438 | − | 74.5214i | −0.733196 | − | 0.351516i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −208.199 | − | 47.3292i | −0.972891 | − | 0.221164i | ||||
\(215\) | − | 212.682i | − | 0.989220i | ||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 1.61614 | 0.00744765 | ||||||||
\(218\) | 23.5462 | − | 103.579i | 0.108010 | − | 0.475131i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 37.6476 | − | 78.5258i | 0.171126 | − | 0.356936i | ||||
\(221\) | −10.6926 | − | 60.6410i | −0.0483830 | − | 0.274394i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 178.190 | − | 212.358i | 0.799056 | − | 0.952278i | −0.200568 | − | 0.979680i | \(-0.564279\pi\) |
0.999625 | + | 0.0274016i | \(0.00872331\pi\) | |||||||
\(224\) | −0.320119 | + | 1.28049i | −0.00142910 | + | 0.00571647i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −260.627 | − | 12.7797i | −1.15321 | − | 0.0565473i | ||||
\(227\) | −157.783 | − | 27.8214i | −0.695079 | − | 0.122561i | −0.185064 | − | 0.982727i | \(-0.559249\pi\) |
−0.510015 | + | 0.860165i | \(0.670360\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 391.957 | + | 142.661i | 1.71160 | + | 0.622972i | 0.997060 | − | 0.0766226i | \(-0.0244136\pi\) |
0.714540 | + | 0.699594i | \(0.246636\pi\) | |||||||
\(230\) | 244.572 | + | 322.296i | 1.06336 | + | 1.40129i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −55.7012 | + | 167.233i | −0.240091 | + | 0.720831i | ||||
\(233\) | −113.470 | − | 196.537i | −0.486998 | − | 0.843505i | 0.512890 | − | 0.858454i | \(-0.328575\pi\) |
−0.999888 | + | 0.0149492i | \(0.995241\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 64.9525 | + | 37.5003i | 0.276394 | + | 0.159576i | ||||
\(236\) | 158.748 | + | 44.3665i | 0.672663 | + | 0.187994i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −0.967968 | + | 2.30189i | −0.00406709 | + | 0.00967182i | ||||
\(239\) | 100.927 | + | 120.281i | 0.422290 | + | 0.503266i | 0.934682 | − | 0.355486i | \(-0.115685\pi\) |
−0.512391 | + | 0.858752i | \(0.671240\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −113.715 | + | 41.3887i | −0.471845 | + | 0.171737i | −0.566988 | − | 0.823726i | \(-0.691891\pi\) |
0.0951430 | + | 0.995464i | \(0.469669\pi\) | |||||||
\(242\) | −111.592 | + | 173.109i | −0.461124 | + | 0.715327i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −30.7136 | − | 67.7532i | −0.125875 | − | 0.277677i | ||||
\(245\) | −236.140 | + | 85.9479i | −0.963836 | + | 0.350808i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.92354 | − | 10.6347i | −0.0361277 | − | 0.0430553i | ||||
\(248\) | 313.339 | − | 8.63377i | 1.26346 | − | 0.0348136i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 232.206 | − | 71.8476i | 0.928823 | − | 0.287391i | ||||
\(251\) | 3.42052 | + | 1.97484i | 0.0136276 | + | 0.00786788i | 0.506798 | − | 0.862065i | \(-0.330829\pi\) |
−0.493171 | + | 0.869933i | \(0.664162\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 83.7194 | + | 145.006i | 0.330907 | + | 0.573147i | ||||
\(254\) | −141.899 | + | 153.198i | −0.558657 | + | 0.603142i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −55.2243 | + | 249.973i | −0.215720 | + | 0.976455i | ||||
\(257\) | −70.1778 | − | 25.5426i | −0.273065 | − | 0.0993876i | 0.201858 | − | 0.979415i | \(-0.435302\pi\) |
−0.474923 | + | 0.880027i | \(0.657524\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.29585 | − | 0.228493i | −0.00500328 | − | 0.000882213i | ||||
\(260\) | −24.3009 | + | 33.9251i | −0.0934652 | + | 0.130481i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −243.251 | + | 124.975i | −0.928437 | + | 0.477004i | ||||
\(263\) | 258.741 | − | 308.356i | 0.983807 | − | 1.17246i | −0.00121067 | − | 0.999999i | \(-0.500385\pi\) |
0.985017 | − | 0.172456i | \(-0.0551702\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 38.3791 | + | 217.659i | 0.144827 | + | 0.821354i | ||||
\(266\) | 0.0704903 | + | 0.558554i | 0.000265001 | + | 0.00209983i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 139.808 | − | 136.841i | 0.521672 | − | 0.510602i | ||||
\(269\) | 256.494 | 0.953508 | 0.476754 | − | 0.879037i | \(-0.341813\pi\) | ||||
0.476754 | + | 0.879037i | \(0.341813\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 98.1325i | 0.362112i | 0.983473 | + | 0.181056i | \(0.0579516\pi\) | ||||
−0.983473 | + | 0.181056i | \(0.942048\pi\) | |||||||
\(272\) | −175.373 | + | 451.464i | −0.644755 | + | 1.65980i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 26.7038 | + | 211.597i | 0.0974591 | + | 0.772251i | ||||
\(275\) | −5.44710 | + | 0.960471i | −0.0198076 | + | 0.00349262i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −240.716 | − | 201.985i | −0.869011 | − | 0.729187i | 0.0948788 | − | 0.995489i | \(-0.469754\pi\) |
−0.963890 | + | 0.266302i | \(0.914198\pi\) | |||||||
\(278\) | 152.385 | − | 78.2910i | 0.548147 | − | 0.281622i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.57371 | − | 0.622389i | 0.00562041 | − | 0.00222282i | ||||
\(281\) | −13.7932 | + | 78.2252i | −0.0490862 | + | 0.278381i | −0.999465 | − | 0.0327143i | \(-0.989585\pi\) |
0.950379 | + | 0.311096i | \(0.100696\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −49.7122 | + | 136.583i | −0.175661 | + | 0.482626i | −0.996010 | − | 0.0892374i | \(-0.971557\pi\) |
0.820349 | + | 0.571863i | \(0.193779\pi\) | |||||||
\(284\) | 511.431 | − | 39.2228i | 1.80081 | − | 0.138108i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −11.7357 | + | 12.6703i | −0.0410341 | + | 0.0443016i | ||||
\(287\) | 2.04828 | − | 1.18257i | 0.00713686 | − | 0.00412047i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −313.656 | + | 543.268i | −1.08532 | + | 1.87982i | ||||
\(290\) | 215.902 | − | 66.8029i | 0.744488 | − | 0.230355i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −420.652 | + | 287.870i | −1.44059 | + | 0.985858i | ||||
\(293\) | 91.9061 | − | 77.1184i | 0.313673 | − | 0.263203i | −0.472335 | − | 0.881419i | \(-0.656589\pi\) |
0.786008 | + | 0.618216i | \(0.212144\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −72.2827 | − | 198.595i | −0.245026 | − | 0.673204i | ||||
\(296\) | −252.461 | − | 37.3778i | −0.852910 | − | 0.126276i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −169.927 | + | 263.602i | −0.570224 | + | 0.884570i | ||||
\(299\) | −27.4425 | − | 75.3977i | −0.0917810 | − | 0.252166i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.31031 | − | 1.09948i | 0.00435318 | − | 0.00365275i | ||||
\(302\) | −19.4163 | + | 46.1732i | −0.0642923 | + | 0.152891i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 16.6506 | + | 107.916i | 0.0547719 | + | 0.354988i | ||||
\(305\) | −47.6897 | + | 82.6010i | −0.156360 | + | 0.270823i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −177.597 | + | 102.536i | −0.578491 | + | 0.333992i | −0.760534 | − | 0.649299i | \(-0.775063\pi\) |
0.182042 | + | 0.983291i | \(0.441729\pi\) | |||||||
\(308\) | 0.678409 | − | 0.174004i | 0.00220263 | − | 0.000564947i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −242.950 | − | 320.159i | −0.783710 | − | 1.03277i | ||||
\(311\) | −83.6144 | + | 229.729i | −0.268857 | + | 0.738677i | 0.729638 | + | 0.683833i | \(0.239688\pi\) |
−0.998495 | + | 0.0548442i | \(0.982534\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 23.7303 | − | 134.581i | 0.0758156 | − | 0.429971i | −0.923148 | − | 0.384446i | \(-0.874393\pi\) |
0.998963 | − | 0.0455257i | \(-0.0144963\pi\) | |||||||
\(314\) | −226.848 | − | 11.1234i | −0.722445 | − | 0.0354247i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.27311 | + | 12.9505i | −0.00402882 | + | 0.0409827i | ||||
\(317\) | 108.274 | + | 90.8524i | 0.341557 | + | 0.286601i | 0.797389 | − | 0.603465i | \(-0.206214\pi\) |
−0.455832 | + | 0.890066i | \(0.650658\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 92.1095 | − | 16.2414i | 0.288745 | − | 0.0509135i | ||||
\(320\) | 301.788 | − | 129.077i | 0.943089 | − | 0.403364i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.721288 | + | 3.17291i | −0.00224003 | + | 0.00985376i | ||||
\(323\) | 206.585i | 0.639581i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 2.65051 | 0.00815543 | ||||||||
\(326\) | −445.727 | − | 101.326i | −1.36726 | − | 0.310815i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 390.805 | − | 240.221i | 1.19148 | − | 0.732381i | ||||
\(329\) | 0.104742 | + | 0.594024i | 0.000318366 | + | 0.00180554i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −97.6833 | + | 116.414i | −0.295116 | + | 0.351705i | −0.893145 | − | 0.449769i | \(-0.851506\pi\) |
0.598029 | + | 0.801474i | \(0.295951\pi\) | |||||||
\(332\) | 45.7905 | − | 465.798i | 0.137923 | − | 1.40301i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.59132 | + | 32.4530i | −0.00476442 | + | 0.0971647i | ||||
\(335\) | −247.021 | − | 43.5565i | −0.737376 | − | 0.130019i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 119.675 | + | 43.5582i | 0.355119 | + | 0.129253i | 0.513418 | − | 0.858138i | \(-0.328379\pi\) |
−0.158299 | + | 0.987391i | \(0.550601\pi\) | |||||||
\(338\) | −262.660 | + | 199.318i | −0.777101 | + | 0.589698i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 601.519 | − | 154.282i | 1.76917 | − | 0.453771i | ||||
\(341\) | −83.1641 | − | 144.045i | −0.243883 | − | 0.422418i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3.50057 | − | 2.02106i | −0.0102058 | − | 0.00589229i | ||||
\(344\) | 248.170 | − | 220.168i | 0.721424 | − | 0.640023i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 177.647 | + | 74.7022i | 0.513430 | + | 0.215902i | ||||
\(347\) | 19.4708 | + | 23.2044i | 0.0561119 | + | 0.0668715i | 0.793370 | − | 0.608739i | \(-0.208324\pi\) |
−0.737258 | + | 0.675611i | \(0.763880\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 162.407 | − | 59.1115i | 0.465351 | − | 0.169374i | −0.0986944 | − | 0.995118i | \(-0.531467\pi\) |
0.564045 | + | 0.825744i | \(0.309244\pi\) | |||||||
\(350\) | −0.0903429 | − | 0.0582381i | −0.000258123 | − | 0.000166395i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 130.601 | − | 37.3602i | 0.371026 | − | 0.106137i | ||||
\(353\) | −364.507 | + | 132.670i | −1.03260 | + | 0.375835i | −0.802069 | − | 0.597231i | \(-0.796267\pi\) |
−0.230528 | + | 0.973066i | \(0.574045\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −422.737 | − | 503.799i | −1.19081 | − | 1.41915i | ||||
\(356\) | −177.775 | + | 121.659i | −0.499367 | + | 0.341739i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −135.591 | − | 438.219i | −0.378746 | − | 1.22408i | ||||
\(359\) | −494.326 | − | 285.399i | −1.37695 | − | 0.794983i | −0.385160 | − | 0.922850i | \(-0.625854\pi\) |
−0.991791 | + | 0.127866i | \(0.959187\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −157.212 | − | 272.300i | −0.435492 | − | 0.754294i | ||||
\(362\) | −453.355 | − | 419.918i | −1.25236 | − | 1.15999i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.334634 | + | 0.0256638i | −0.000919323 | + | 7.05049e-5i | ||||
\(365\) | 614.133 | + | 223.526i | 1.68256 | + | 0.612400i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 77.7710 | + | 13.7131i | 0.211910 | + | 0.0373655i | 0.278595 | − | 0.960409i | \(-0.410131\pi\) |
−0.0666852 | + | 0.997774i | \(0.521242\pi\) | |||||||
\(368\) | −122.894 | + | 619.020i | −0.333950 | + | 1.68212i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 149.537 | + | 291.058i | 0.404154 | + | 0.786642i | ||||
\(371\) | −1.14256 | + | 1.36165i | −0.00307968 | + | 0.00367022i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −102.883 | − | 583.480i | −0.275827 | − | 1.56429i | −0.736324 | − | 0.676629i | \(-0.763440\pi\) |
0.460498 | − | 0.887661i | \(-0.347671\pi\) | |||||||
\(374\) | 254.975 | − | 32.1782i | 0.681751 | − | 0.0860378i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 23.4810 | + | 114.610i | 0.0624494 | + | 0.304815i | ||||
\(377\) | −44.8198 | −0.118885 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 93.1184i | 0.245695i | 0.992426 | + | 0.122847i | \(0.0392026\pi\) | ||||
−0.992426 | + | 0.122847i | \(0.960797\pi\) | |||||||
\(380\) | 100.053 | − | 97.9301i | 0.263298 | − | 0.257711i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 445.213 | − | 56.1865i | 1.16548 | − | 0.147085i | ||||
\(383\) | 185.774 | − | 32.7570i | 0.485051 | − | 0.0855275i | 0.0742251 | − | 0.997242i | \(-0.476352\pi\) |
0.410825 | + | 0.911714i | \(0.365241\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.687896 | − | 0.577214i | −0.00178674 | − | 0.00149926i | ||||
\(386\) | 155.562 | + | 302.784i | 0.403009 | + | 0.784415i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 75.1412 | − | 104.900i | 0.193663 | − | 0.270361i | ||||
\(389\) | 27.7003 | − | 157.096i | 0.0712091 | − | 0.403847i | −0.928280 | − | 0.371882i | \(-0.878712\pi\) |
0.999489 | − | 0.0319646i | \(-0.0101764\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −408.369 | + | 1121.98i | −1.04442 | + | 2.86952i | ||||
\(392\) | −344.740 | − | 186.569i | −0.879438 | − | 0.475940i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −293.878 | − | 272.203i | −0.745883 | − | 0.690870i | ||||
\(395\) | 14.4494 | − | 8.34236i | 0.0365807 | − | 0.0211199i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 58.9618 | − | 102.125i | 0.148518 | − | 0.257241i | −0.782162 | − | 0.623075i | \(-0.785883\pi\) |
0.930680 | + | 0.365834i | \(0.119216\pi\) | |||||||
\(398\) | −157.309 | − | 508.409i | −0.395248 | − | 1.27741i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.8269 | − | 10.8086i | −0.0445672 | − | 0.0270216i | ||||
\(401\) | 104.236 | − | 87.4644i | 0.259940 | − | 0.218116i | −0.503498 | − | 0.863996i | \(-0.667954\pi\) |
0.763439 | + | 0.645881i | \(0.223510\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 27.2605 | + | 74.8977i | 0.0676440 | + | 0.185850i | ||||
\(404\) | −228.257 | − | 503.528i | −0.564994 | − | 1.24636i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.52768 | + | 0.984797i | 0.00376277 | + | 0.00242561i | ||||
\(407\) | 46.3171 | + | 127.255i | 0.113801 | + | 0.312667i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −98.1152 | + | 82.3284i | −0.239890 | + | 0.201292i | −0.754804 | − | 0.655950i | \(-0.772268\pi\) |
0.514914 | + | 0.857242i | \(0.327824\pi\) | |||||||
\(410\) | −542.181 | − | 227.992i | −1.32239 | − | 0.556079i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −274.351 | − | 76.6748i | −0.665901 | − | 0.186104i | ||||
\(413\) | 0.849846 | − | 1.47198i | 0.00205774 | − | 0.00356411i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −519.708 | + | 300.053i | −1.25231 | + | 0.723020i | ||||
\(416\) | −64.7420 | + | 6.76341i | −0.155630 | + | 0.0162582i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 46.1559 | − | 35.0251i | 0.110421 | − | 0.0837920i | ||||
\(419\) | −139.827 | + | 384.171i | −0.333716 | + | 0.916876i | 0.653421 | + | 0.756995i | \(0.273333\pi\) |
−0.987136 | + | 0.159881i | \(0.948889\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.5187 | + | 150.395i | −0.0629897 | + | 0.357233i | 0.936979 | + | 0.349384i | \(0.113609\pi\) |
−0.999969 | + | 0.00784813i | \(0.997502\pi\) | |||||||
\(422\) | 39.1131 | − | 797.666i | 0.0926852 | − | 1.89020i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −214.247 | + | 270.102i | −0.505299 | + | 0.637034i | ||||
\(425\) | −30.2143 | − | 25.3528i | −0.0710925 | − | 0.0596537i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −0.755429 | + | 0.133203i | −0.00176916 | + | 0.000311950i | ||||
\(428\) | −184.607 | + | 385.055i | −0.431324 | + | 0.899661i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −414.782 | − | 94.2912i | −0.964610 | − | 0.219282i | ||||
\(431\) | 640.109i | 1.48517i | 0.669751 | + | 0.742585i | \(0.266401\pi\) | ||||
−0.669751 | + | 0.742585i | \(0.733599\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 343.700 | 0.793765 | 0.396883 | − | 0.917869i | \(-0.370092\pi\) | ||||
0.396883 | + | 0.917869i | \(0.370092\pi\) | |||||||
\(434\) | 0.716505 | − | 3.15187i | 0.00165093 | − | 0.00726237i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −191.564 | − | 91.8416i | −0.439368 | − | 0.210646i | ||||
\(437\) | 46.7440 | + | 265.099i | 0.106966 | + | 0.606633i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 58.0596 | − | 69.1928i | 0.132254 | − | 0.157615i | −0.695853 | − | 0.718184i | \(-0.744973\pi\) |
0.828107 | + | 0.560570i | \(0.189418\pi\) | |||||||
\(440\) | −136.454 | − | 108.236i | −0.310122 | − | 0.245991i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −123.005 | − | 6.03150i | −0.278292 | − | 0.0136459i | ||||
\(443\) | −288.931 | − | 50.9464i | −0.652215 | − | 0.115003i | −0.162256 | − | 0.986749i | \(-0.551877\pi\) |
−0.489959 | + | 0.871746i | \(0.662988\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 259.543 | + | 94.4660i | 0.583243 | + | 0.212283i | ||||
\(446\) | −335.151 | − | 441.660i | −0.751459 | − | 0.990270i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.35534 | + | 1.19201i | 0.00525746 | + | 0.00266073i | ||||
\(449\) | −63.8556 | − | 110.601i | −0.142217 | − | 0.246328i | 0.786114 | − | 0.618082i | \(-0.212090\pi\) |
−0.928331 | + | 0.371754i | \(0.878757\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −210.803 | − | 121.707i | −0.467411 | − | 0.269860i | ||||
\(452\) | −140.470 | + | 502.619i | −0.310775 | + | 1.11199i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −124.210 | + | 295.381i | −0.273591 | + | 0.650618i | ||||
\(455\) | 0.276600 | + | 0.329640i | 0.000607913 | + | 0.000724483i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −394.951 | + | 143.750i | −0.864225 | + | 0.314552i | −0.735826 | − | 0.677170i | \(-0.763206\pi\) |
−0.128399 | + | 0.991723i | \(0.540984\pi\) | |||||||
\(458\) | 451.994 | − | 701.163i | 0.986886 | − | 1.53092i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 736.985 | − | 334.087i | 1.60214 | − | 0.726277i | ||||
\(461\) | 648.376 | − | 235.990i | 1.40646 | − | 0.511908i | 0.476368 | − | 0.879246i | \(-0.341953\pi\) |
0.930088 | + | 0.367338i | \(0.119731\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −354.216 | − | 422.138i | −0.765045 | − | 0.911745i | 0.233111 | − | 0.972450i | \(-0.425109\pi\) |
−0.998156 | + | 0.0607054i | \(0.980665\pi\) | |||||||
\(464\) | 301.450 | + | 182.772i | 0.649676 | + | 0.393906i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −433.600 | + | 134.162i | −0.930473 | + | 0.287901i | ||||
\(467\) | 535.942 | + | 309.426i | 1.14763 | + | 0.662583i | 0.948308 | − | 0.317351i | \(-0.102793\pi\) |
0.199320 | + | 0.979934i | \(0.436127\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.00865 | − | 1.74703i | −0.00215064 | − | 0.00372501i | ||||
\(470\) | 101.931 | − | 110.048i | 0.216874 | − | 0.234144i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 156.905 | − | 289.928i | 0.332427 | − | 0.614255i | ||||
\(473\) | −165.421 | − | 60.2084i | −0.349728 | − | 0.127291i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −8.75720 | − | 1.54413i | −0.0184362 | − | 0.00325080i | ||||
\(476\) | 4.06011 | + | 2.90830i | 0.00852964 | + | 0.00610987i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 279.322 | − | 143.507i | 0.584355 | − | 0.300225i | ||||
\(479\) | −205.959 | + | 245.453i | −0.429977 | + | 0.512427i | −0.936916 | − | 0.349555i | \(-0.886333\pi\) |
0.506938 | + | 0.861982i | \(0.330777\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −11.2688 | − | 63.9084i | −0.0234278 | − | 0.132866i | ||||
\(482\) | 30.3035 | + | 240.120i | 0.0628704 | + | 0.498175i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 288.131 | + | 294.378i | 0.595313 | + | 0.608220i | ||||
\(485\) | −165.445 | −0.341123 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 5.24750i | − | 0.0107752i | −0.999985 | − | 0.00538758i | \(-0.998285\pi\) | ||
0.999985 | − | 0.00538758i | \(-0.00171493\pi\) | |||||||
\(488\) | −145.752 | + | 29.8611i | −0.298672 | + | 0.0611908i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 62.9283 | + | 498.634i | 0.128425 | + | 1.01762i | ||||
\(491\) | −593.831 | + | 104.708i | −1.20943 | + | 0.213255i | −0.741771 | − | 0.670653i | \(-0.766014\pi\) |
−0.467660 | + | 0.883908i | \(0.654903\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 510.919 | + | 428.712i | 1.03635 | + | 0.869598i | ||||
\(494\) | −24.6964 | + | 12.6883i | −0.0499926 | + | 0.0256848i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 122.079 | − | 614.915i | 0.246126 | − | 1.23975i | ||||
\(497\) | 0.918461 | − | 5.20885i | 0.00184801 | − | 0.0104806i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.99347 | − | 5.47702i | 0.00399494 | − | 0.0109760i | −0.937679 | − | 0.347502i | \(-0.887030\pi\) |
0.941674 | + | 0.336526i | \(0.109252\pi\) | |||||||
\(500\) | −37.1736 | − | 484.711i | −0.0743471 | − | 0.969422i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 5.36788 | − | 5.79532i | 0.0106930 | − | 0.0115445i | ||||
\(503\) | 103.706 | − | 59.8746i | 0.206175 | − | 0.119035i | −0.393358 | − | 0.919386i | \(-0.628687\pi\) |
0.599532 | + | 0.800350i | \(0.295353\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −354.421 | + | 613.875i | −0.701823 | + | 1.21559i | ||||
\(506\) | 319.914 | − | 98.9856i | 0.632240 | − | 0.195624i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 235.864 | + | 344.657i | 0.464299 | + | 0.678458i | ||||
\(509\) | 280.047 | − | 234.987i | 0.550190 | − | 0.461664i | −0.324816 | − | 0.945777i | \(-0.605302\pi\) |
0.875005 | + | 0.484113i | \(0.160858\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.79769 | + | 4.93912i | 0.00351799 | + | 0.00966560i | ||||
\(512\) | 463.024 | + | 218.524i | 0.904343 | + | 0.426805i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −80.9271 | + | 125.540i | −0.157446 | + | 0.244240i | ||||
\(515\) | 124.920 | + | 343.215i | 0.242563 | + | 0.666437i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 47.5547 | − | 39.9031i | 0.0919820 | − | 0.0771821i | ||||
\(518\) | −1.02012 | + | 2.42592i | −0.00196935 | + | 0.00468324i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 55.3886 | + | 62.4332i | 0.106517 | + | 0.120064i | ||||
\(521\) | −109.267 | + | 189.256i | −0.209726 | + | 0.363255i | −0.951628 | − | 0.307253i | \(-0.900590\pi\) |
0.741903 | + | 0.670508i | \(0.233924\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 696.524 | − | 402.138i | 1.33179 | − | 0.768907i | 0.346212 | − | 0.938156i | \(-0.387468\pi\) |
0.985573 | + | 0.169250i | \(0.0541344\pi\) | |||||||
\(524\) | 135.888 | + | 529.804i | 0.259329 | + | 1.01108i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −486.657 | − | 641.315i | −0.925204 | − | 1.21923i | ||||
\(527\) | 405.661 | − | 1114.54i | 0.769754 | − | 2.11488i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −178.305 | + | 1011.22i | −0.337060 | + | 1.91156i | ||||
\(530\) | 441.503 | + | 21.6489i | 0.833024 | + | 0.0408469i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.12057 | + | 0.110158i | 0.00210633 | + | 0.000207064i | ||||
\(533\) | 89.3543 | + | 74.9772i | 0.167644 | + | 0.140670i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 539.192 | − | 95.0740i | 1.00783 | − | 0.177708i | ||||
\(536\) | −204.891 | − | 333.328i | −0.382259 | − | 0.621880i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 113.715 | − | 500.225i | 0.211366 | − | 0.929787i | ||||
\(539\) | 207.997i | 0.385895i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −172.884 | −0.319563 | −0.159782 | − | 0.987152i | \(-0.551079\pi\) | ||||
−0.159782 | + | 0.987152i | \(0.551079\pi\) | |||||||
\(542\) | 191.382 | + | 43.5063i | 0.353104 | + | 0.0802700i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 802.715 | + | 542.174i | 1.47558 | + | 0.996644i | ||||
\(545\) | 47.2992 | + | 268.247i | 0.0867875 | + | 0.492197i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −164.443 | + | 195.975i | −0.300627 | + | 0.358273i | −0.895118 | − | 0.445829i | \(-0.852909\pi\) |
0.594491 | + | 0.804102i | \(0.297353\pi\) | |||||||
\(548\) | 424.504 | + | 41.7310i | 0.774642 | + | 0.0761515i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.541782 | + | 11.0490i | −0.000985058 | + | 0.0200891i | ||||
\(551\) | 148.083 | + | 26.1110i | 0.268753 | + | 0.0473884i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.126093 | + | 0.0458942i | 0.000228017 | + | 8.29913e-5i | ||||
\(554\) | −500.639 | + | 379.906i | −0.903680 | + | 0.685751i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −85.1276 | − | 331.897i | −0.153107 | − | 0.596938i | ||||
\(557\) | 177.380 | + | 307.231i | 0.318456 | + | 0.551582i | 0.980166 | − | 0.198178i | \(-0.0635023\pi\) |
−0.661710 | + | 0.749760i | \(0.730169\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 73.0554 | + | 42.1786i | 0.130690 | + | 0.0754536i | ||||
\(560\) | −0.516115 | − | 3.34506i | −0.000921635 | − | 0.00597332i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 146.443 | + | 61.5807i | 0.260575 | + | 0.109574i | ||||
\(563\) | −7.92579 | − | 9.44559i | −0.0140778 | − | 0.0167773i | 0.758960 | − | 0.651138i | \(-0.225708\pi\) |
−0.773037 | + | 0.634360i | \(0.781264\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 628.780 | − | 228.857i | 1.11288 | − | 0.405057i | ||||
\(566\) | 244.331 | + | 157.504i | 0.431680 | + | 0.278276i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 150.245 | − | 1014.80i | 0.264516 | − | 1.78663i | ||||
\(569\) | 168.484 | − | 61.3233i | 0.296106 | − | 0.107774i | −0.189695 | − | 0.981843i | \(-0.560750\pi\) |
0.485801 | + | 0.874069i | \(0.338528\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −254.026 | − | 302.737i | −0.444880 | − | 0.530187i | 0.496274 | − | 0.868166i | \(-0.334701\pi\) |
−0.941154 | + | 0.337979i | \(0.890257\pi\) | |||||||
\(572\) | 19.5071 | + | 28.5048i | 0.0341033 | + | 0.0498336i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −1.39822 | − | 4.51893i | −0.00243592 | − | 0.00787269i | ||||
\(575\) | −44.5089 | − | 25.6972i | −0.0774068 | − | 0.0446908i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −344.513 | − | 596.713i | −0.597075 | − | 1.03417i | −0.993250 | − | 0.115990i | \(-0.962996\pi\) |
0.396175 | − | 0.918175i | \(-0.370337\pi\) | |||||||
\(578\) | 920.448 | + | 852.560i | 1.59247 | + | 1.47502i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −34.5634 | − | 450.677i | −0.0595921 | − | 0.777029i | ||||
\(581\) | −4.53526 | − | 1.65070i | −0.00780595 | − | 0.00284113i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 180.157 | + | 31.7665i | 0.309017 | + | 0.0544880i | ||||
\(584\) | 374.924 | + | 947.998i | 0.641994 | + | 1.62328i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −109.654 | − | 213.429i | −0.187122 | − | 0.364213i | ||||
\(587\) | −207.235 | + | 246.973i | −0.353040 | + | 0.420737i | −0.913113 | − | 0.407706i | \(-0.866329\pi\) |
0.560073 | + | 0.828443i | \(0.310773\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −46.4340 | − | 263.340i | −0.0788353 | − | 0.447097i | ||||
\(590\) | −419.355 | + | 52.9231i | −0.710771 | + | 0.0897002i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −184.823 | + | 475.790i | −0.312200 | + | 0.803699i | ||||
\(593\) | −469.564 | −0.791846 | −0.395923 | − | 0.918284i | \(-0.629575\pi\) | ||||
−0.395923 | + | 0.918284i | \(0.629575\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | − | 6.40345i | − | 0.0107621i | ||||||
\(596\) | 438.752 | + | 448.264i | 0.736160 | + | 0.752121i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −159.210 | + | 20.0925i | −0.266238 | + | 0.0335996i | ||||
\(599\) | 527.632 | − | 93.0357i | 0.880854 | − | 0.155318i | 0.285112 | − | 0.958494i | \(-0.407969\pi\) |
0.595742 | + | 0.803176i | \(0.296858\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 647.757 | + | 543.533i | 1.07780 | + | 0.904381i | 0.995736 | − | 0.0922465i | \(-0.0294048\pi\) |
0.0820627 | + | 0.996627i | \(0.473849\pi\) | |||||||
\(602\) | −1.56333 | − | 3.04286i | −0.00259690 | − | 0.00505459i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 81.4409 | + | 58.3370i | 0.134836 | + | 0.0965844i | ||||
\(605\) | 91.7119 | − | 520.124i | 0.151590 | − | 0.859709i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 138.471 | − | 380.445i | 0.228123 | − | 0.626763i | −0.771836 | − | 0.635822i | \(-0.780661\pi\) |
0.999959 | + | 0.00905875i | \(0.00288353\pi\) | |||||||
\(608\) | 217.845 | + | 15.3712i | 0.358298 | + | 0.0252816i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 139.949 | + | 129.627i | 0.229425 | + | 0.212504i | ||||
\(611\) | −25.7624 | + | 14.8739i | −0.0421643 | + | 0.0243436i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 62.6459 | − | 108.506i | 0.102196 | − | 0.177008i | −0.810393 | − | 0.585886i | \(-0.800747\pi\) |
0.912589 | + | 0.408878i | \(0.134080\pi\) | |||||||
\(614\) | 121.233 | + | 391.815i | 0.197448 | + | 0.638136i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0385814 | − | 1.40021i | −6.26321e−5 | − | 0.00227306i | ||||
\(617\) | −221.013 | + | 185.452i | −0.358205 | + | 0.300570i | −0.804075 | − | 0.594528i | \(-0.797339\pi\) |
0.445870 | + | 0.895098i | \(0.352895\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −122.807 | − | 337.411i | −0.198397 | − | 0.545090i | 0.800102 | − | 0.599864i | \(-0.204779\pi\) |
−0.998499 | + | 0.0547735i | \(0.982556\pi\) | |||||||
\(620\) | −732.098 | + | 331.872i | −1.18080 | + | 0.535277i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 410.957 | + | 264.917i | 0.660702 | + | 0.425911i | ||||
\(623\) | 0.759737 | + | 2.08736i | 0.00121948 | + | 0.00335050i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −502.431 | + | 421.589i | −0.803889 | + | 0.674543i | ||||
\(626\) | −251.945 | − | 105.945i | −0.402468 | − | 0.169242i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −122.265 | + | 437.476i | −0.194689 | + | 0.696619i | ||||
\(629\) | −482.842 | + | 836.307i | −0.767634 | + | 1.32958i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −874.059 | + | 504.638i | −1.38520 | + | 0.799743i | −0.992769 | − | 0.120040i | \(-0.961698\pi\) |
−0.392427 | + | 0.919783i | \(0.628364\pi\) | |||||||
\(632\) | 24.6923 | + | 8.22440i | 0.0390700 | + | 0.0130133i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 225.187 | − | 170.881i | 0.355184 | − | 0.269529i | ||||
\(635\) | 183.144 | − | 503.183i | 0.288415 | − | 0.792415i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 17.3079 | − | 98.1580i | 0.0271710 | − | 0.154094i | ||||
\(638\) | 9.16144 | − | 186.836i | 0.0143596 | − | 0.292847i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −117.935 | − | 645.786i | −0.184273 | − | 1.00904i | ||||
\(641\) | −610.695 | − | 512.434i | −0.952722 | − | 0.799429i | 0.0270317 | − | 0.999635i | \(-0.491394\pi\) |
−0.979754 | + | 0.200206i | \(0.935839\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 696.625 | − | 122.834i | 1.08340 | − | 0.191032i | 0.396680 | − | 0.917957i | \(-0.370162\pi\) |
0.686717 | + | 0.726925i | \(0.259051\pi\) | |||||||
\(644\) | 5.86817 | + | 2.81337i | 0.00911206 | + | 0.00436859i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 402.891 | + | 91.5879i | 0.623670 | + | 0.141777i | ||||
\(647\) | − | 595.093i | − | 0.919774i | −0.887978 | − | 0.459887i | \(-0.847890\pi\) | ||
0.887978 | − | 0.459887i | \(-0.152110\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −174.927 | −0.269533 | ||||||||
\(650\) | 1.17509 | − | 5.16915i | 0.00180783 | − | 0.00795253i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −395.220 | + | 824.354i | −0.606165 | + | 1.26435i | ||||
\(653\) | 128.322 | + | 727.750i | 0.196511 | + | 1.11447i | 0.910250 | + | 0.414060i | \(0.135889\pi\) |
−0.713738 | + | 0.700412i | \(0.752999\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 450.776 | − | 537.214i | 0.688207 | − | 0.820173i | ||||
\(656\) | −295.229 | − | 868.664i | −0.450044 | − | 1.32418i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.20493 | + | 0.0590831i | 0.00183120 | + | 8.97919e-5i | ||||
\(659\) | 225.185 | + | 39.7062i | 0.341707 | + | 0.0602522i | 0.341869 | − | 0.939748i | \(-0.388940\pi\) |
−0.000161354 | 1.00000i | \(0.500051\pi\) | ||||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 247.564 | + | 90.1059i | 0.374529 | + | 0.136318i | 0.522425 | − | 0.852686i | \(-0.325028\pi\) |
−0.147895 | + | 0.989003i | \(0.547250\pi\) | |||||||
\(662\) | 183.729 | + | 242.118i | 0.277537 | + | 0.365737i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −888.118 | − | 295.811i | −1.33753 | − | 0.445498i | ||||
\(665\) | −0.721837 | − | 1.25026i | −0.00108547 | − | 0.00188009i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 752.638 | + | 434.536i | 1.12839 | + | 0.651478i | ||||
\(668\) | 62.5858 | + | 17.4913i | 0.0936913 | + | 0.0261845i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −194.461 | + | 462.440i | −0.290240 | + | 0.690210i | ||||
\(671\) | 50.7454 | + | 60.4760i | 0.0756265 | + | 0.0901282i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 262.025 | − | 95.3693i | 0.389339 | − | 0.141708i | −0.139931 | − | 0.990161i | \(-0.544688\pi\) |
0.529270 | + | 0.848453i | \(0.322466\pi\) | |||||||
\(674\) | 138.006 | − | 214.084i | 0.204757 | − | 0.317632i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 272.270 | + | 600.617i | 0.402766 | + | 0.888487i | ||||
\(677\) | 213.983 | − | 77.8835i | 0.316076 | − | 0.115042i | −0.179111 | − | 0.983829i | \(-0.557322\pi\) |
0.495186 | + | 0.868787i | \(0.335100\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.855279 | − | 1.01928i | −0.00125962 | − | 0.00150115i | ||||
\(680\) | −34.2086 | − | 1241.51i | −0.0503068 | − | 1.82575i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −317.792 | + | 98.3292i | −0.465971 | + | 0.144178i | ||||
\(683\) | 662.983 | + | 382.773i | 0.970692 | + | 0.560429i | 0.899447 | − | 0.437030i | \(-0.143969\pi\) |
0.0712449 | + | 0.997459i | \(0.477303\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −273.453 | − | 473.634i | −0.399201 | − | 0.691437i | ||||
\(686\) | −5.49350 | + | 5.93095i | −0.00800802 | + | 0.00864569i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −319.356 | − | 581.601i | −0.464181 | − | 0.845351i | ||||
\(689\) | −82.3761 | − | 29.9825i | −0.119559 | − | 0.0435159i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −460.568 | − | 81.2105i | −0.666523 | − | 0.117526i | −0.169858 | − | 0.985468i | \(-0.554331\pi\) |
−0.496665 | + | 0.867942i | \(0.665442\pi\) | |||||||
\(692\) | 224.446 | − | 313.336i | 0.324344 | − | 0.452798i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 53.8865 | − | 27.6853i | 0.0776462 | − | 0.0398924i | ||||
\(695\) | −282.390 | + | 336.539i | −0.406316 | + | 0.484229i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −301.412 | − | 1709.39i | −0.432442 | − | 2.45250i | ||||
\(698\) | −43.2795 | − | 342.941i | −0.0620051 | − | 0.491319i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.153631 | + | 0.150371i | −0.000219473 | + | 0.000214816i | ||||
\(701\) | 88.4726 | 0.126209 | 0.0631046 | − | 0.998007i | \(-0.479900\pi\) | ||||
0.0631046 | + | 0.998007i | \(0.479900\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 217.716i | 0.309695i | ||||||||
\(704\) | −14.9604 | − | 271.267i | −0.0212506 | − | 0.385323i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 97.1365 | + | 769.695i | 0.137587 | + | 1.09022i | ||||
\(707\) | −5.61420 | + | 0.989935i | −0.00794088 | + | 0.00140019i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.313958 | − | 0.263442i | −0.000442819 | − | 0.000371569i | 0.642566 | − | 0.766230i | \(-0.277870\pi\) |
−0.643009 | + | 0.765859i | \(0.722314\pi\) | |||||||
\(710\) | −1169.95 | + | 601.085i | −1.64781 | + | 0.846598i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 158.450 | + | 400.641i | 0.222542 | + | 0.562698i | ||||
\(713\) | 268.373 | − | 1522.02i | 0.376400 | − | 2.13467i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.1469 | − | 41.6158i | 0.0211845 | − | 0.0582039i | ||||
\(716\) | −914.747 | + | 70.1540i | −1.27758 | + | 0.0979804i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −775.753 | + | 837.525i | −1.08044 | + | 1.16647i | ||||
\(719\) | −437.936 | + | 252.842i | −0.609090 | + | 0.351658i | −0.772609 | − | 0.634882i | \(-0.781049\pi\) |
0.163519 | + | 0.986540i | \(0.447715\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.46872 | + | 2.54389i | −0.00203706 | + | 0.00352828i | ||||
\(722\) | −600.750 | + | 185.880i | −0.832064 | + | 0.257452i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −1019.93 | + | 697.985i | −1.40875 | + | 0.964068i | ||||
\(725\) | −21.9921 | + | 18.4536i | −0.0303340 | + | 0.0254532i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 317.879 | + | 873.365i | 0.437247 | + | 1.20133i | 0.941275 | + | 0.337640i | \(0.109629\pi\) |
−0.504028 | + | 0.863687i | \(0.668149\pi\) | |||||||
\(728\) | −0.0983068 | + | 0.663995i | −0.000135037 | + | 0.000912080i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 708.201 | − | 1098.61i | 0.970139 | − | 1.50494i | ||||
\(731\) | −429.341 | − | 1179.60i | −0.587334 | − | 1.61369i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 465.367 | − | 390.489i | 0.634880 | − | 0.532728i | −0.267561 | − | 0.963541i | \(-0.586218\pi\) |
0.902441 | + | 0.430813i | \(0.141773\pi\) | |||||||
\(734\) | 61.2231 | − | 145.593i | 0.0834103 | − | 0.198355i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1152.76 | + | 514.111i | 1.56624 | + | 0.698520i | ||||
\(737\) | −103.807 | + | 179.799i | −0.140851 | + | 0.243961i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 1027.02 | − | 592.950i | 1.38974 | − | 0.802368i | 0.396457 | − | 0.918053i | \(-0.370240\pi\) |
0.993286 | + | 0.115685i | \(0.0369063\pi\) | |||||||
\(740\) | 633.929 | − | 162.595i | 0.856661 | − | 0.219723i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 2.14901 | + | 2.83195i | 0.00289624 | + | 0.00381665i | ||||
\(743\) | 66.6908 | − | 183.232i | 0.0897589 | − | 0.246610i | −0.886688 | − | 0.462368i | \(-0.847000\pi\) |
0.976447 | + | 0.215758i | \(0.0692221\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 139.654 | − | 792.018i | 0.187455 | − | 1.06311i | ||||
\(746\) | −1183.54 | − | 58.0343i | −1.58652 | − | 0.0777940i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 50.2860 | − | 511.529i | 0.0672273 | − | 0.683862i | ||||
\(749\) | 3.37313 | + | 2.83039i | 0.00450351 | + | 0.00377889i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −352.727 | + | 62.1954i | −0.469677 | + | 0.0828167i | −0.403477 | − | 0.914990i | \(-0.632199\pi\) |
−0.0661997 | + | 0.997806i | \(0.521087\pi\) | |||||||
\(752\) | 233.928 | + | 5.01810i | 0.311075 | + | 0.00667300i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −19.8705 | + | 87.4094i | −0.0263535 | + | 0.115928i | ||||
\(755\) | − | 128.446i | − | 0.170127i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −692.369 | −0.914622 | −0.457311 | − | 0.889307i | \(-0.651187\pi\) | ||||
−0.457311 | + | 0.889307i | \(0.651187\pi\) | |||||||
\(758\) | 181.603 | + | 41.2834i | 0.239582 | + | 0.0544636i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −146.630 | − | 238.545i | −0.192934 | − | 0.313875i | ||||
\(761\) | −202.751 | − | 1149.86i | −0.266427 | − | 1.51098i | −0.764941 | − | 0.644100i | \(-0.777232\pi\) |
0.498514 | − | 0.866882i | \(-0.333879\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.40812 | + | 1.67813i | −0.00184550 | + | 0.00219938i | ||||
\(764\) | 87.8048 | − | 893.184i | 0.114928 | − | 1.16909i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 18.4776 | − | 376.828i | 0.0241221 | − | 0.491942i | ||||
\(767\) | 82.5515 | + | 14.5561i | 0.107629 | + | 0.0189779i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 332.286 | + | 120.942i | 0.432102 | + | 0.157272i | 0.548908 | − | 0.835882i | \(-0.315044\pi\) |
−0.116807 | + | 0.993155i | \(0.537266\pi\) | |||||||
\(770\) | −1.43068 | + | 1.08566i | −0.00185803 | + | 0.00140995i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 659.470 | − | 169.146i | 0.854235 | − | 0.219101i | ||||
\(773\) | 530.607 | + | 919.038i | 0.686425 | + | 1.18892i | 0.972987 | + | 0.230862i | \(0.0741545\pi\) |
−0.286561 | + | 0.958062i | \(0.592512\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 44.2137 | + | 25.5268i | 0.0570500 | + | 0.0329378i | ||||
\(776\) | −171.268 | − | 193.050i | −0.220706 | − | 0.248776i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −294.095 | − | 123.670i | −0.378015 | − | 0.158959i | ||||
\(779\) | −251.543 | − | 299.778i | −0.322905 | − | 0.384824i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −511.521 | + | 186.178i | −0.654956 | + | 0.238384i | ||||
\(782\) | 2007.09 | + | 1293.84i | 2.56662 | + | 1.65453i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −516.692 | + | 589.612i | −0.659046 | + | 0.752057i | ||||
\(785\) | 547.286 | − | 199.196i | 0.697179 | − | 0.253752i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −936.718 | − | 1116.34i | −1.19024 | − | 1.41847i | −0.884617 | − | 0.466318i | \(-0.845580\pi\) |
−0.305621 | − | 0.952153i | \(-0.598864\pi\) | |||||||
\(788\) | −661.150 | + | 452.454i | −0.839023 | + | 0.574181i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −9.86359 | − | 31.8783i | −0.0124856 | − | 0.0403523i | ||||
\(791\) | 4.66048 | + | 2.69073i | 0.00589188 | + | 0.00340168i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −18.9154 | − | 32.7624i | −0.0238530 | − | 0.0413145i | ||||
\(794\) | −173.028 | − | 160.266i | −0.217919 | − | 0.201846i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1061.26 | + | 81.3906i | −1.33324 | + | 0.102249i | ||||
\(797\) | −508.103 | − | 184.934i | −0.637519 | − | 0.232038i | 0.00298155 | − | 0.999996i | \(-0.499051\pi\) |
−0.640501 | + | 0.767958i | \(0.721273\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 435.949 | + | 76.8696i | 0.545618 | + | 0.0962073i | ||||
\(800\) | −28.9829 | + | 29.9748i | −0.0362286 | + | 0.0374685i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −124.364 | − | 242.062i | −0.155068 | − | 0.301823i | ||||
\(803\) | 347.711 | − | 414.386i | 0.433015 | − | 0.516047i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.44891 | − | 8.21718i | −0.00179989 | − | 0.0102077i | ||||
\(806\) | 158.154 | − | 19.9593i | 0.196221 | − | 0.0247634i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1083.20 | + | 221.922i | −1.34059 | + | 0.274656i | ||||
\(809\) | −1070.62 | −1.32338 | −0.661692 | − | 0.749776i | \(-0.730161\pi\) | ||||
−0.661692 | + | 0.749776i | \(0.730161\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1307.05i | 1.61165i | 0.592153 | + | 0.805826i | \(0.298278\pi\) | ||||
−0.592153 | + | 0.805826i | \(0.701722\pi\) | |||||||
\(812\) | 2.59788 | − | 2.54275i | 0.00319936 | − | 0.00313147i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 268.713 | − | 33.9119i | 0.330114 | − | 0.0416609i | ||||
\(815\) | 1154.34 | − | 203.541i | 1.41637 | − | 0.249744i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −216.800 | − | 181.917i | −0.265361 | − | 0.222665i | ||||
\(818\) | 117.062 | + | 227.848i | 0.143107 | + | 0.278543i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −685.013 | + | 956.306i | −0.835381 | + | 1.16623i | ||||
\(821\) | −113.123 | + | 641.554i | −0.137787 | + | 0.781430i | 0.835091 | + | 0.550112i | \(0.185415\pi\) |
−0.972878 | + | 0.231318i | \(0.925696\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −175.770 | + | 482.923i | −0.213572 | + | 0.586784i | −0.999503 | − | 0.0315306i | \(-0.989962\pi\) |
0.785931 | + | 0.618314i | \(0.212184\pi\) | |||||||
\(824\) | −271.166 | + | 501.059i | −0.329085 | + | 0.608081i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −2.49394 | − | 2.31000i | −0.00301930 | − | 0.00279661i | ||||
\(827\) | −144.231 | + | 83.2717i | −0.174402 | + | 0.100691i | −0.584660 | − | 0.811278i | \(-0.698772\pi\) |
0.410258 | + | 0.911970i | \(0.365439\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 569.032 | − | 985.592i | 0.686407 | − | 1.18889i | −0.286585 | − | 0.958055i | \(-0.592520\pi\) |
0.972992 | − | 0.230838i | \(-0.0741466\pi\) | |||||||
\(830\) | 354.768 | + | 1146.58i | 0.427432 | + | 1.38142i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −15.5126 | + | 129.261i | −0.0186450 | + | 0.155362i | ||||
\(833\) | −1136.20 | + | 953.389i | −1.36399 | + | 1.14452i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −28.4971 | − | 78.2951i | −0.0341283 | − | 0.0937666i | ||||
\(836\) | −47.8445 | − | 105.543i | −0.0572302 | − | 0.126248i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 687.236 | + | 443.016i | 0.820091 | + | 0.528659i | ||||
\(839\) | −254.878 | − | 700.272i | −0.303788 | − | 0.834650i | −0.993833 | − | 0.110884i | \(-0.964632\pi\) |
0.690045 | − | 0.723766i | \(-0.257591\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −272.360 | + | 228.537i | −0.323853 | + | 0.271745i | ||||
\(842\) | 281.550 | + | 118.394i | 0.334382 | + | 0.140611i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1538.30 | − | 429.919i | −1.82263 | − | 0.509383i | ||||
\(845\) | 422.759 | − | 732.241i | 0.500307 | − | 0.866557i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 3.67852 | − | 2.12380i | 0.00434300 | − | 0.00250743i | ||||
\(848\) | 431.781 | + | 537.582i | 0.509175 | + | 0.633941i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −62.8395 | + | 47.6853i | −0.0739288 | + | 0.0561003i | ||||
\(851\) | −430.372 | + | 1182.44i | −0.505725 | + | 1.38947i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −202.360 | + | 1147.64i | −0.237233 | + | 1.34542i | 0.600626 | + | 0.799530i | \(0.294918\pi\) |
−0.837859 | + | 0.545886i | \(0.816193\pi\) | |||||||
\(854\) | −0.0751368 | + | 1.53233i | −8.79822e−5 | + | 0.00179429i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 669.106 | + | 530.739i | 0.781666 | + | 0.620022i | ||||
\(857\) | −350.934 | − | 294.468i | −0.409491 | − | 0.343604i | 0.414658 | − | 0.909978i | \(-0.363901\pi\) |
−0.824148 | + | 0.566374i | \(0.808346\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1043.94 | + | 184.076i | −1.21530 | + | 0.214291i | −0.744302 | − | 0.667843i | \(-0.767218\pi\) |
−0.471000 | + | 0.882133i | \(0.656107\pi\) | |||||||
\(860\) | −367.781 | + | 767.123i | −0.427653 | + | 0.892003i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1248.37 | + | 283.788i | 1.44822 | + | 0.329220i | ||||
\(863\) | − | 842.741i | − | 0.976525i | −0.872697 | − | 0.488262i | \(-0.837631\pi\) | ||
0.872697 | − | 0.488262i | \(-0.162369\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −494.182 | −0.571308 | ||||||||
\(866\) | 152.377 | − | 670.299i | 0.175955 | − | 0.774017i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −5.82925 | − | 2.79472i | −0.00671573 | − | 0.00321972i | ||||
\(869\) | −2.39808 | − | 13.6002i | −0.00275958 | − | 0.0156504i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 63.9500 | − | 76.2126i | 0.0734213 | − | 0.0875001i | ||||
\(872\) | −264.042 | + | 332.880i | −0.302801 | + | 0.381743i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 537.730 | + | 26.3673i | 0.615252 | + | 0.0301686i | ||||
\(875\) | −4.93671 | − | 0.870475i | −0.00564195 | − | 0.000994829i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −919.491 | − | 334.667i | −1.04845 | − | 0.381605i | −0.240373 | − | 0.970681i | \(-0.577270\pi\) |
−0.808078 | + | 0.589076i | \(0.799492\pi\) | |||||||
\(878\) | −109.202 | − | 143.906i | −0.124376 | − | 0.163903i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −271.582 | + | 218.132i | −0.308616 | + | 0.247877i | ||||
\(881\) | −22.0835 | − | 38.2497i | −0.0250664 | − | 0.0434163i | 0.853220 | − | 0.521551i | \(-0.174646\pi\) |
−0.878286 | + | 0.478135i | \(0.841313\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 445.575 | + | 257.253i | 0.504615 | + | 0.291339i | 0.730617 | − | 0.682787i | \(-0.239232\pi\) |
−0.226002 | + | 0.974127i | \(0.572566\pi\) | |||||||
\(884\) | −66.2963 | + | 237.216i | −0.0749959 | + | 0.268344i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −227.453 | + | 540.900i | −0.256719 | + | 0.610496i | ||||
\(887\) | −918.503 | − | 1094.63i | −1.03552 | − | 1.23408i | −0.971725 | − | 0.236117i | \(-0.924125\pi\) |
−0.0637919 | − | 0.997963i | \(-0.520319\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.04682 | − | 1.47292i | 0.00455210 | − | 0.00165683i | ||||
\(890\) | 299.298 | − | 464.292i | 0.336290 | − | 0.521676i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −1009.93 | + | 457.818i | −1.13221 | + | 0.513249i | ||||
\(893\) | 93.7832 | − | 34.1343i | 0.105020 | − | 0.0382243i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 756.109 | + | 901.096i | 0.844814 | + | 1.00681i | ||||
\(896\) | 3.36892 | − | 4.06502i | 0.00375996 | − | 0.00453685i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −244.009 | + | 75.4998i | −0.271725 | + | 0.0840755i | ||||
\(899\) | −747.647 | − | 431.654i | −0.831643 | − | 0.480149i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 652.250 | + | 1129.73i | 0.723918 | + | 1.25386i | ||||
\(902\) | −330.816 | + | 357.158i | −0.366758 | + | 0.395963i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 917.953 | + | 496.784i | 1.01543 | + | 0.549540i | ||||
\(905\) | 1489.06 | + | 541.973i | 1.64537 | + | 0.598865i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1252.53 | + | 220.855i | 1.38096 | + | 0.243501i | 0.814297 | − | 0.580449i | \(-0.197123\pi\) |
0.566663 | + | 0.823949i | \(0.308234\pi\) | |||||||
\(908\) | 520.996 | + | 373.195i | 0.573784 | + | 0.411008i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.765506 | − | 0.393295i | 0.000841216 | − | 0.000432192i | ||||
\(911\) | −985.284 | + | 1174.22i | −1.08154 | + | 1.28893i | −0.126659 | + | 0.991946i | \(0.540425\pi\) |
−0.954882 | + | 0.296985i | \(0.904019\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 86.2528 | + | 489.164i | 0.0944718 | + | 0.535776i | ||||
\(914\) | 105.249 | + | 833.981i | 0.115153 | + | 0.912452i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1167.05 | − | 1192.35i | −1.27407 | − | 1.30170i | ||||
\(917\) | 5.64002 | 0.00615051 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 958.663i | − | 1.04316i | −0.853203 | − | 0.521580i | \(-0.825343\pi\) | ||
0.853203 | − | 0.521580i | \(-0.174657\pi\) | |||||||
\(920\) | −324.814 | − | 1585.42i | −0.353059 | − | 1.72328i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −172.784 | − | 1369.12i | −0.187401 | − | 1.48494i | ||||
\(923\) | 256.889 | − | 45.2964i | 0.278319 | − | 0.0490752i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −31.8423 | − | 26.7189i | −0.0344241 | − | 0.0288853i | ||||
\(926\) | −980.310 | + | 503.655i | −1.05865 | + | 0.543904i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 490.096 | − | 506.869i | 0.528120 | − | 0.546195i | ||||
\(929\) | −249.626 | + | 1415.70i | −0.268704 | + | 1.52389i | 0.489573 | + | 0.871962i | \(0.337153\pi\) |
−0.758277 | + | 0.651933i | \(0.773958\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −114.369 | + | 314.227i | −0.122846 | + | 0.337516i | ||||
\(932\) | 69.4146 | + | 905.106i | 0.0744792 | + | 0.971144i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 841.063 | − | 908.036i | 0.900495 | − | 0.972201i | ||||
\(935\) | −570.731 | + | 329.512i | −0.610408 | + | 0.352419i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 151.138 | − | 261.779i | 0.161300 | − | 0.279380i | −0.774035 | − | 0.633143i | \(-0.781765\pi\) |
0.935335 | + | 0.353763i | \(0.115098\pi\) | |||||||
\(938\) | −3.85431 | + | 1.19258i | −0.00410907 | + | 0.00127140i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −169.429 | − | 247.579i | −0.180244 | − | 0.263382i | ||||
\(941\) | 629.923 | − | 528.568i | 0.669419 | − | 0.561709i | −0.243475 | − | 0.969907i | \(-0.578287\pi\) |
0.912893 | + | 0.408198i | \(0.133843\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −773.569 | − | 2125.36i | −0.820328 | − | 2.25383i | ||||
\(944\) | −495.868 | − | 434.541i | −0.525284 | − | 0.460319i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −190.759 | + | 295.919i | −0.201648 | + | 0.312811i | ||||
\(947\) | −456.809 | − | 1255.07i | −0.482375 | − | 1.32531i | −0.907451 | − | 0.420157i | \(-0.861975\pi\) |
0.425076 | − | 0.905158i | \(-0.360247\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −198.573 | + | 166.623i | −0.209245 | + | 0.175577i | ||||
\(950\) | −6.89387 | + | 16.3941i | −0.00725671 | + | 0.0172569i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 7.47191 | − | 6.62882i | 0.00784865 | − | 0.00696305i | ||||
\(953\) | 156.667 | − | 271.356i | 0.164394 | − | 0.284739i | −0.772046 | − | 0.635567i | \(-0.780767\pi\) |
0.936440 | + | 0.350828i | \(0.114100\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −996.558 | + | 575.363i | −1.04352 | + | 0.602474i | ||||
\(956\) | −156.039 | − | 608.368i | −0.163221 | − | 0.636369i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 387.382 | + | 510.490i | 0.404365 | + | 0.532871i | ||||
\(959\) | 1.50436 | − | 4.13319i | 0.00156868 | − | 0.00430990i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −99.7172 | + | 565.524i | −0.103764 | + | 0.588475i | ||||
\(962\) | −129.633 | − | 6.35648i | −0.134753 | − | 0.00660757i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 481.728 | + | 47.3565i | 0.499718 | + | 0.0491250i | ||||
\(965\) | −668.692 | − | 561.099i | −0.692945 | − | 0.581450i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1793.17 | − | 316.184i | 1.85437 | − | 0.326975i | 0.868654 | − | 0.495419i | \(-0.164986\pi\) |
0.985711 | + | 0.168444i | \(0.0538744\pi\) | |||||||
\(968\) | 701.850 | − | 431.415i | 0.725052 | − | 0.445677i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −73.3487 | + | 322.657i | −0.0756173 | + | 0.332637i | ||||
\(971\) | 1200.07i | 1.23592i | 0.786211 | + | 0.617958i | \(0.212040\pi\) | ||||
−0.786211 | + | 0.617958i | \(0.787960\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −3.53321 | −0.00363125 | ||||||||
\(974\) | −10.2339 | − | 2.32644i | −0.0105071 | − | 0.00238854i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.38159 | + | 297.490i | −0.00653851 | + | 0.304805i | ||||
\(977\) | −35.8447 | − | 203.285i | −0.0366885 | − | 0.208071i | 0.960953 | − | 0.276712i | \(-0.0892448\pi\) |
−0.997641 | + | 0.0686410i | \(0.978134\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 146.949 | − | 175.127i | 0.150101 | − | 0.178883i | ||||
\(980\) | 1000.36 | + | 98.3405i | 1.02077 | + | 0.100347i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −59.0638 | + | 1204.54i | −0.0601464 | + | 1.22661i | ||||
\(983\) | 1420.62 | + | 250.494i | 1.44519 | + | 0.254826i | 0.840575 | − | 0.541695i | \(-0.182217\pi\) |
0.604612 | + | 0.796520i | \(0.293328\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 965.250 | + | 351.322i | 0.979949 | + | 0.356672i | ||||
\(986\) | 1062.60 | − | 806.350i | 1.07769 | − | 0.817799i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 13.7963 | + | 53.7892i | 0.0139638 | + | 0.0544425i | ||||
\(989\) | −817.858 | − | 1416.57i | −0.826955 | − | 1.43233i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −814.600 | − | 470.309i | −0.821998 | − | 0.474581i | 0.0291073 | − | 0.999576i | \(-0.490734\pi\) |
−0.851105 | + | 0.524996i | \(0.824067\pi\) | |||||||
\(992\) | −1145.11 | − | 510.701i | −1.15435 | − | 0.514820i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −9.75133 | − | 4.10053i | −0.00981019 | − | 0.00412528i | ||||
\(995\) | 877.215 | + | 1045.42i | 0.881623 | + | 1.05068i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 173.772 | − | 63.2477i | 0.174294 | − | 0.0634380i | −0.253399 | − | 0.967362i | \(-0.581549\pi\) |
0.427693 | + | 0.903924i | \(0.359326\pi\) | |||||||
\(998\) | −9.79773 | − | 6.31596i | −0.00981737 | − | 0.00632861i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 324.3.j.a.19.19 | 204 | ||
3.2 | odd | 2 | 108.3.j.a.7.16 | yes | 204 | ||
4.3 | odd | 2 | inner | 324.3.j.a.19.27 | 204 | ||
12.11 | even | 2 | 108.3.j.a.7.8 | ✓ | 204 | ||
27.4 | even | 9 | inner | 324.3.j.a.307.27 | 204 | ||
27.23 | odd | 18 | 108.3.j.a.31.8 | yes | 204 | ||
108.23 | even | 18 | 108.3.j.a.31.16 | yes | 204 | ||
108.31 | odd | 18 | inner | 324.3.j.a.307.19 | 204 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.3.j.a.7.8 | ✓ | 204 | 12.11 | even | 2 | ||
108.3.j.a.7.16 | yes | 204 | 3.2 | odd | 2 | ||
108.3.j.a.31.8 | yes | 204 | 27.23 | odd | 18 | ||
108.3.j.a.31.16 | yes | 204 | 108.23 | even | 18 | ||
324.3.j.a.19.19 | 204 | 1.1 | even | 1 | trivial | ||
324.3.j.a.19.27 | 204 | 4.3 | odd | 2 | inner | ||
324.3.j.a.307.19 | 204 | 108.31 | odd | 18 | inner | ||
324.3.j.a.307.27 | 204 | 27.4 | even | 9 | inner |