Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,3,Mod(13,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 11]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.13");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.o (of order \(30\), degree \(8\), 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: | \(3.37875527807\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Character | \(\chi\) | \(=\) | 124.17 |
Dual form | 124.3.o.a.73.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{7}{30}\right)\) |
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 | ||||||||
\(3\) | −1.31136 | − | 1.18075i | −0.437119 | − | 0.393583i | 0.420979 | − | 0.907071i | \(-0.361687\pi\) |
−0.858097 | + | 0.513487i | \(0.828353\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 2.72362 | − | 4.71744i | 0.544723 | − | 0.943489i | −0.453901 | − | 0.891052i | \(-0.649968\pi\) |
0.998624 | − | 0.0524364i | \(-0.0166987\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.568373 | + | 5.40771i | −0.0811962 | + | 0.772530i | 0.875848 | + | 0.482587i | \(0.160303\pi\) |
−0.957044 | + | 0.289943i | \(0.906364\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.615273 | − | 5.85393i | −0.0683637 | − | 0.650437i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −8.24988 | − | 18.5295i | −0.749989 | − | 1.68450i | −0.728798 | − | 0.684729i | \(-0.759921\pi\) |
−0.0211913 | − | 0.999775i | \(-0.506746\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.300183 | − | 1.41225i | 0.0230910 | − | 0.108635i | −0.965093 | − | 0.261908i | \(-0.915648\pi\) |
0.988184 | + | 0.153274i | \(0.0489816\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −9.14175 | + | 2.97034i | −0.609450 | + | 0.198022i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 8.32365 | − | 18.6952i | 0.489627 | − | 1.09972i | −0.484721 | − | 0.874669i | \(-0.661079\pi\) |
0.974347 | − | 0.225050i | \(-0.0722546\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 9.86752 | − | 2.09741i | 0.519343 | − | 0.110390i | 0.0592200 | − | 0.998245i | \(-0.481139\pi\) |
0.460123 | + | 0.887855i | \(0.347805\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 7.13049 | − | 6.42032i | 0.339547 | − | 0.305730i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 21.5145 | + | 29.6121i | 0.935412 | + | 1.28748i | 0.957711 | + | 0.287733i | \(0.0929014\pi\) |
−0.0222990 | + | 0.999751i | \(0.507099\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.33618 | − | 4.04638i | −0.0934472 | − | 0.161855i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −15.4401 | + | 21.2514i | −0.571854 | + | 0.787089i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −33.4954 | − | 10.8833i | −1.15501 | − | 0.375286i | −0.331983 | − | 0.943285i | \(-0.607718\pi\) |
−0.823029 | + | 0.567999i | \(0.807718\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −16.7164 | + | 26.1067i | −0.539240 | + | 0.842152i | ||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −11.0602 | + | 34.0399i | −0.335158 | + | 1.03151i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 23.9625 | + | 17.4098i | 0.684644 | + | 0.497423i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 34.1947 | − | 19.7423i | 0.924182 | − | 0.533577i | 0.0392151 | − | 0.999231i | \(-0.487514\pi\) |
0.884967 | + | 0.465654i | \(0.154181\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.06116 | + | 1.49752i | −0.0528503 | + | 0.0383980i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 37.9235 | + | 42.1183i | 0.924964 | + | 1.02728i | 0.999548 | + | 0.0300615i | \(0.00957030\pi\) |
−0.0745845 | + | 0.997215i | \(0.523763\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.99301 | − | 9.37635i | −0.0463490 | − | 0.218055i | 0.948878 | − | 0.315643i | \(-0.102220\pi\) |
−0.995227 | + | 0.0975887i | \(0.968887\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −29.2914 | − | 13.0413i | −0.650919 | − | 0.289808i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 1.15874 | + | 3.56625i | 0.0246541 | + | 0.0758776i | 0.962627 | − | 0.270832i | \(-0.0872989\pi\) |
−0.937972 | + | 0.346710i | \(0.887299\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 19.0090 | + | 4.04048i | 0.387938 | + | 0.0824587i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −32.9897 | + | 14.6879i | −0.646856 | + | 0.287999i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 65.8818 | − | 6.92446i | 1.24305 | − | 0.130650i | 0.539925 | − | 0.841713i | \(-0.318453\pi\) |
0.703128 | + | 0.711063i | \(0.251786\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −109.882 | − | 11.5490i | −1.99785 | − | 0.209982i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −15.4163 | − | 8.90063i | −0.270462 | − | 0.156151i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 15.1814 | − | 16.8606i | 0.257312 | − | 0.285773i | −0.600623 | − | 0.799532i | \(-0.705081\pi\) |
0.857935 | + | 0.513759i | \(0.171747\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 60.4313i | 0.990677i | 0.868700 | + | 0.495339i | \(0.164956\pi\) | ||||
−0.868700 | + | 0.495339i | \(0.835044\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 32.0061 | 0.508033 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −5.84462 | − | 5.26252i | −0.0899173 | − | 0.0809619i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −31.6110 | + | 54.7518i | −0.471806 | + | 0.817191i | −0.999480 | − | 0.0322558i | \(-0.989731\pi\) |
0.527674 | + | 0.849447i | \(0.323064\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 6.75140 | − | 64.2353i | 0.0978463 | − | 0.930946i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.20157 | + | 11.4322i | 0.0169235 | + | 0.161016i | 0.999720 | − | 0.0236772i | \(-0.00753739\pi\) |
−0.982796 | + | 0.184694i | \(0.940871\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −31.1377 | − | 69.9365i | −0.426544 | − | 0.958035i | −0.991159 | − | 0.132680i | \(-0.957642\pi\) |
0.564614 | − | 0.825355i | \(-0.309025\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.71420 | + | 8.06469i | −0.0228560 | + | 0.107529i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 104.891 | − | 34.0813i | 1.36223 | − | 0.442614i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 31.2003 | − | 70.0771i | 0.394941 | − | 0.887052i | −0.601185 | − | 0.799110i | \(-0.705304\pi\) |
0.996126 | − | 0.0879416i | \(-0.0280289\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −6.47792 | + | 1.37692i | −0.0799743 | + | 0.0169991i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 90.5466 | − | 81.5285i | 1.09092 | − | 0.982271i | 0.0910151 | − | 0.995850i | \(-0.470989\pi\) |
0.999908 | + | 0.0135781i | \(0.00432219\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −65.5232 | − | 90.1850i | −0.770861 | − | 1.06100i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 31.0739 | + | 53.8215i | 0.357171 | + | 0.618638i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −42.3350 | + | 58.2691i | −0.475674 | + | 0.654709i | −0.977666 | − | 0.210163i | \(-0.932600\pi\) |
0.501993 | + | 0.864872i | \(0.332600\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.46642 | + | 2.42599i | 0.0820486 | + | 0.0266592i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 52.7467 | − | 14.4973i | 0.567169 | − | 0.155885i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 16.9809 | − | 52.2620i | 0.178747 | − | 0.550126i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −103.021 | − | 74.8494i | −1.06208 | − | 0.771643i | −0.0876041 | − | 0.996155i | \(-0.527921\pi\) |
−0.974471 | + | 0.224512i | \(0.927921\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −103.395 | + | 59.6950i | −1.04439 | + | 0.602980i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 18.1564 | − | 13.1914i | 0.179766 | − | 0.130608i | −0.494263 | − | 0.869312i | \(-0.664562\pi\) |
0.674029 | + | 0.738705i | \(0.264562\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −55.5245 | − | 61.6662i | −0.539073 | − | 0.598701i | 0.410650 | − | 0.911793i | \(-0.365302\pi\) |
−0.949723 | + | 0.313092i | \(0.898635\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −10.8668 | − | 51.1242i | −0.103493 | − | 0.486897i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −104.129 | − | 46.3614i | −0.973173 | − | 0.433284i | −0.142347 | − | 0.989817i | \(-0.545465\pi\) |
−0.830826 | + | 0.556532i | \(0.812132\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 43.2016 | + | 132.961i | 0.396345 | + | 1.21982i | 0.927909 | + | 0.372806i | \(0.121604\pi\) |
−0.531564 | + | 0.847018i | \(0.678396\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −68.1522 | − | 14.4862i | −0.613984 | − | 0.130506i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 17.2923 | − | 7.69903i | 0.153029 | − | 0.0681330i | −0.328793 | − | 0.944402i | \(-0.606642\pi\) |
0.481822 | + | 0.876269i | \(0.339975\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 198.291 | − | 20.8412i | 1.72427 | − | 0.181228i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −8.45190 | − | 0.888331i | −0.0722385 | − | 0.00759257i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 96.3674 | + | 55.6378i | 0.809810 | + | 0.467544i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −194.319 | + | 215.813i | −1.60594 | + | 1.78358i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | − | 100.010i | − | 0.813092i | ||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 110.729 | 0.885835 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 48.6007 | + | 43.7602i | 0.382682 | + | 0.344569i | 0.837912 | − | 0.545805i | \(-0.183776\pi\) |
−0.455230 | + | 0.890374i | \(0.650443\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −8.45759 | + | 14.6490i | −0.0655627 | + | 0.113558i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.34935 | + | 69.9244i | −0.0561019 | + | 0.533774i | 0.929991 | + | 0.367581i | \(0.119814\pi\) |
−0.986093 | + | 0.166193i | \(0.946853\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.73373 | + | 54.5528i | 0.0431107 | + | 0.410171i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 58.1995 | + | 130.718i | 0.431108 | + | 0.968284i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 21.9062 | − | 103.060i | 0.159899 | − | 0.752266i | −0.822988 | − | 0.568058i | \(-0.807695\pi\) |
0.982887 | − | 0.184207i | \(-0.0589718\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 127.623 | − | 41.4671i | 0.918149 | − | 0.298325i | 0.188441 | − | 0.982084i | \(-0.439656\pi\) |
0.729707 | + | 0.683760i | \(0.239656\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.69132 | − | 6.04481i | 0.0190874 | − | 0.0428710i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −28.6448 | + | 6.08864i | −0.200313 | + | 0.0425779i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −142.570 | + | 128.370i | −0.983240 | + | 0.885314i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −20.1567 | − | 27.7433i | −0.137120 | − | 0.188730i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 73.3036 | + | 126.966i | 0.491970 | + | 0.852118i | 0.999957 | − | 0.00924706i | \(-0.00294347\pi\) |
−0.507987 | + | 0.861365i | \(0.669610\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −68.9723 | + | 94.9322i | −0.456770 | + | 0.628690i | −0.973835 | − | 0.227256i | \(-0.927025\pi\) |
0.517065 | + | 0.855946i | \(0.327025\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −114.562 | − | 37.2234i | −0.748770 | − | 0.243290i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 77.6278 | + | 149.964i | 0.500825 | + | 0.967507i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.09721 | − | 3.37686i | 0.00698859 | − | 0.0215087i | −0.947501 | − | 0.319752i | \(-0.896401\pi\) |
0.954490 | + | 0.298243i | \(0.0964005\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −94.5706 | − | 68.7095i | −0.594784 | − | 0.432136i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −172.362 | + | 99.5133i | −1.07057 | + | 0.618095i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 169.366 | − | 123.051i | 1.03905 | − | 0.754917i | 0.0689531 | − | 0.997620i | \(-0.478034\pi\) |
0.970101 | + | 0.242703i | \(0.0780341\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 130.457 | + | 144.888i | 0.790651 | + | 0.878106i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.67326 | + | 36.0999i | 0.0459477 | + | 0.216167i | 0.995132 | − | 0.0985551i | \(-0.0314221\pi\) |
−0.949184 | + | 0.314722i | \(0.898089\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 152.485 | + | 67.8906i | 0.902277 | + | 0.401720i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −18.3493 | − | 56.4733i | −0.107306 | − | 0.330253i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 114.821 | + | 24.4061i | 0.663708 | + | 0.141075i | 0.527434 | − | 0.849596i | \(-0.323154\pi\) |
0.136274 | + | 0.990671i | \(0.456487\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 23.2095 | − | 10.3335i | 0.132626 | − | 0.0590487i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −39.8164 | + | 4.18487i | −0.224951 | + | 0.0236433i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −215.899 | − | 22.6919i | −1.20614 | − | 0.126770i | −0.519952 | − | 0.854196i | \(-0.674050\pi\) |
−0.686187 | + | 0.727425i | \(0.740717\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −192.495 | − | 111.137i | −1.06351 | − | 0.614018i | −0.137109 | − | 0.990556i | \(-0.543781\pi\) |
−0.926401 | + | 0.376538i | \(0.877115\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 71.3543 | − | 79.2470i | 0.389914 | − | 0.433043i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | − | 215.082i | − | 1.16261i | ||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −415.083 | −2.21970 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −106.146 | − | 95.5741i | −0.561618 | − | 0.505683i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 184.857 | − | 320.181i | 0.967836 | − | 1.67634i | 0.266042 | − | 0.963962i | \(-0.414284\pi\) |
0.701794 | − | 0.712380i | \(-0.252383\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −38.6748 | + | 367.966i | −0.200388 | + | 1.90656i | 0.183232 | + | 0.983070i | \(0.441344\pi\) |
−0.383619 | + | 0.923491i | \(0.625322\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.45066 | + | 13.8021i | 0.00743926 | + | 0.0707799i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 98.5340 | + | 221.311i | 0.500172 | + | 1.12341i | 0.970541 | + | 0.240936i | \(0.0774543\pi\) |
−0.470369 | + | 0.882470i | \(0.655879\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 39.8170 | − | 187.324i | 0.200086 | − | 0.941328i | −0.757423 | − | 0.652924i | \(-0.773542\pi\) |
0.957509 | − | 0.288404i | \(-0.0931247\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 106.101 | − | 34.4744i | 0.527868 | − | 0.171515i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 77.8916 | − | 174.947i | 0.383702 | − | 0.861810i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 301.980 | − | 64.1878i | 1.47307 | − | 0.313111i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 160.110 | − | 144.164i | 0.773479 | − | 0.696443i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −120.270 | − | 165.537i | −0.575454 | − | 0.792044i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 76.4808 | + | 132.469i | 0.362468 | + | 0.627813i | 0.988366 | − | 0.152091i | \(-0.0486008\pi\) |
−0.625898 | + | 0.779905i | \(0.715267\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 11.9228 | − | 16.4104i | 0.0559758 | − | 0.0770441i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −49.6606 | − | 16.1357i | −0.230980 | − | 0.0750498i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −131.676 | − | 105.236i | −0.606804 | − | 0.484958i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −41.7449 | + | 128.478i | −0.190616 | + | 0.586656i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −23.9037 | − | 17.3671i | −0.108162 | − | 0.0785840i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 210.185 | − | 121.350i | 0.942532 | − | 0.544171i | 0.0517787 | − | 0.998659i | \(-0.483511\pi\) |
0.890753 | + | 0.454488i | \(0.150178\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −22.2498 | + | 16.1655i | −0.0988882 | + | 0.0718465i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 37.7395 | + | 41.9139i | 0.166253 | + | 0.184643i | 0.820515 | − | 0.571626i | \(-0.193687\pi\) |
−0.654261 | + | 0.756269i | \(0.727020\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −55.6536 | − | 261.830i | −0.243029 | − | 1.14336i | −0.915211 | − | 0.402975i | \(-0.867976\pi\) |
0.672182 | − | 0.740386i | \(-0.265357\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −177.791 | − | 79.1578i | −0.769660 | − | 0.342675i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 82.0335 | + | 252.473i | 0.352075 | + | 1.08358i | 0.957686 | + | 0.287815i | \(0.0929289\pi\) |
−0.605611 | + | 0.795761i | \(0.707071\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 19.9795 | + | 4.24678i | 0.0850193 | + | 0.0180714i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −123.658 | + | 55.0562i | −0.521765 | + | 0.232305i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −163.946 | + | 17.2314i | −0.685966 | + | 0.0720979i | −0.441098 | − | 0.897459i | \(-0.645411\pi\) |
−0.244867 | + | 0.969557i | \(0.578744\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −270.189 | − | 28.3980i | −1.12112 | − | 0.117834i | −0.474215 | − | 0.880409i | \(-0.657268\pi\) |
−0.646900 | + | 0.762575i | \(0.723935\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 214.861 | + | 124.050i | 0.884202 | + | 0.510494i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 70.8338 | − | 78.6689i | 0.289118 | − | 0.321098i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − | 14.5650i | − | 0.0589676i | ||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −215.004 | −0.863468 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −266.154 | − | 239.646i | −1.06038 | − | 0.954766i | −0.0613153 | − | 0.998118i | \(-0.519530\pi\) |
−0.999060 | + | 0.0433524i | \(0.986196\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 371.207 | − | 642.950i | 1.46722 | − | 2.54130i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −20.5617 | + | 195.631i | −0.0806340 | + | 0.767181i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 38.2716 | + | 364.130i | 0.148917 | + | 1.41685i | 0.772462 | + | 0.635061i | \(0.219025\pi\) |
−0.623545 | + | 0.781788i | \(0.714308\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 87.3255 | + | 196.136i | 0.337164 | + | 0.757283i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −43.1013 | + | 202.776i | −0.165139 | + | 0.776918i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 39.0657 | − | 12.6932i | 0.148539 | − | 0.0482631i | −0.233804 | − | 0.972284i | \(-0.575117\pi\) |
0.382343 | + | 0.924021i | \(0.375117\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 146.771 | − | 329.653i | 0.553853 | − | 1.24397i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 124.317 | − | 26.4245i | 0.465608 | − | 0.0989681i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 48.9120 | − | 44.0406i | 0.181829 | − | 0.163720i | −0.573190 | − | 0.819422i | \(-0.694294\pi\) |
0.755019 | + | 0.655703i | \(0.227628\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 142.795 | + | 196.541i | 0.526919 | + | 0.725242i | 0.986657 | − | 0.162813i | \(-0.0520567\pi\) |
−0.459738 | + | 0.888055i | \(0.652057\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −6.92665 | − | 11.9973i | −0.0253723 | − | 0.0439462i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −55.7044 | + | 76.6705i | −0.202561 | + | 0.278802i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −238.373 | − | 77.4522i | −0.860554 | − | 0.279611i | −0.154694 | − | 0.987962i | \(-0.549439\pi\) |
−0.705860 | + | 0.708351i | \(0.749439\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 163.112 | + | 81.7940i | 0.584631 | + | 0.293169i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 15.5682 | − | 47.9141i | 0.0554029 | − | 0.170513i | −0.919526 | − | 0.393029i | \(-0.871427\pi\) |
0.974929 | + | 0.222517i | \(0.0714271\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −42.7805 | − | 31.0818i | −0.151168 | − | 0.109830i | 0.509630 | − | 0.860393i | \(-0.329782\pi\) |
−0.660798 | + | 0.750564i | \(0.729782\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −83.9764 | + | 48.4838i | −0.294654 | + | 0.170119i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −249.318 | + | 181.140i | −0.868705 | + | 0.631151i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −86.8496 | − | 96.4562i | −0.300518 | − | 0.333759i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 46.7192 | + | 219.797i | 0.160547 | + | 0.755315i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −382.239 | − | 170.184i | −1.30457 | − | 0.580832i | −0.367516 | − | 0.930017i | \(-0.619792\pi\) |
−0.937054 | + | 0.349185i | \(0.886458\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −38.1908 | − | 117.539i | −0.129460 | − | 0.398438i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 521.158 | + | 110.775i | 1.75474 | + | 0.372981i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 48.2780 | − | 21.4947i | 0.161465 | − | 0.0718888i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 51.8374 | − | 5.44833i | 0.172217 | − | 0.0181008i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −39.3852 | − | 4.13955i | −0.129984 | − | 0.0136619i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 285.081 | + | 164.592i | 0.934693 | + | 0.539645i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −144.980 | + | 161.017i | −0.472249 | + | 0.524486i | −0.931461 | − | 0.363841i | \(-0.881465\pi\) |
0.459212 | + | 0.888327i | \(0.348132\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 146.427i | 0.473873i | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −557.952 | −1.79406 | −0.897029 | − | 0.441971i | \(-0.854279\pi\) | ||||
−0.897029 | + | 0.441971i | \(0.854279\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 333.403 | + | 300.198i | 1.06519 | + | 0.959098i | 0.999250 | − | 0.0387263i | \(-0.0123301\pi\) |
0.0659359 | + | 0.997824i | \(0.478997\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 87.1723 | − | 150.987i | 0.276737 | − | 0.479323i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −26.3308 | + | 250.521i | −0.0830625 | + | 0.790287i | 0.871122 | + | 0.491067i | \(0.163393\pi\) |
−0.954184 | + | 0.299220i | \(0.903274\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 74.6702 | + | 710.440i | 0.234076 | + | 2.22708i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 81.8095 | + | 183.747i | 0.254858 | + | 0.572421i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 42.9223 | − | 201.934i | 0.132886 | − | 0.625181i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.41578 | + | 2.08461i | −0.0197409 | + | 0.00641419i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 100.341 | − | 225.369i | 0.306853 | − | 0.689203i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −19.9438 | + | 4.23919i | −0.0606195 | + | 0.0128851i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −344.829 | + | 310.486i | −1.04178 | + | 0.938023i | −0.998136 | − | 0.0610239i | \(-0.980563\pi\) |
−0.0436440 | + | 0.999047i | \(0.513897\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −136.609 | − | 188.027i | −0.410238 | − | 0.564645i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 172.192 | + | 298.246i | 0.514007 | + | 0.890286i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −155.928 | + | 214.617i | −0.462695 | + | 0.636845i | −0.975065 | − | 0.221920i | \(-0.928768\pi\) |
0.512370 | + | 0.858765i | \(0.328768\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −31.7670 | − | 10.3217i | −0.0937080 | − | 0.0304476i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 621.654 | + | 94.3703i | 1.82303 | + | 0.276746i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −114.988 | + | 353.895i | −0.335241 | + | 1.03176i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −284.638 | − | 206.802i | −0.825037 | − | 0.599425i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −207.914 | + | 120.039i | −0.599177 | + | 0.345935i | −0.768718 | − | 0.639588i | \(-0.779105\pi\) |
0.169541 | + | 0.985523i | \(0.445772\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 444.157 | − | 322.699i | 1.27266 | − | 0.924638i | 0.273351 | − | 0.961914i | \(-0.411868\pi\) |
0.999305 | + | 0.0372760i | \(0.0118681\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 25.3775 | + | 28.1845i | 0.0723004 | + | 0.0802978i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −139.657 | − | 657.032i | −0.395628 | − | 1.86128i | −0.498946 | − | 0.866633i | \(-0.666279\pi\) |
0.103318 | − | 0.994648i | \(-0.467054\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 57.2032 | + | 25.4685i | 0.161136 | + | 0.0717423i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −60.6777 | − | 186.747i | −0.169966 | − | 0.523100i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −495.721 | − | 105.369i | −1.38084 | − | 0.293506i | −0.543142 | − | 0.839641i | \(-0.682765\pi\) |
−0.837698 | + | 0.546134i | \(0.816099\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −236.821 | + | 105.440i | −0.656014 | + | 0.292076i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 509.642 | − | 53.5655i | 1.40397 | − | 0.147563i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −414.729 | − | 43.5898i | −1.13624 | − | 0.119424i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 268.992 | + | 155.302i | 0.732948 | + | 0.423167i | 0.819500 | − | 0.573080i | \(-0.194252\pi\) |
−0.0865519 | + | 0.996247i | \(0.527585\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 223.224 | − | 247.916i | 0.604944 | − | 0.671859i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 360.206i | 0.970904i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 672.226 | 1.80221 | 0.901107 | − | 0.433597i | \(-0.142756\pi\) | ||||
0.901107 | + | 0.433597i | \(0.142756\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −145.206 | − | 130.744i | −0.387215 | − | 0.348650i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −25.4247 | + | 44.0368i | −0.0674394 | + | 0.116809i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.0763 | − | 191.013i | 0.0529718 | − | 0.503993i | −0.935580 | − | 0.353114i | \(-0.885123\pi\) |
0.988552 | − | 0.150879i | \(-0.0482104\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −12.0629 | − | 114.770i | −0.0316611 | − | 0.301235i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −70.8050 | − | 159.031i | −0.184869 | − | 0.415223i | 0.797207 | − | 0.603706i | \(-0.206310\pi\) |
−0.982077 | + | 0.188482i | \(0.939643\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 124.908 | − | 587.644i | 0.324435 | − | 1.52635i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −53.6623 | + | 17.4359i | −0.138662 | + | 0.0450541i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −213.012 | + | 478.432i | −0.547587 | + | 1.22990i | 0.401781 | + | 0.915736i | \(0.368391\pi\) |
−0.949368 | + | 0.314166i | \(0.898275\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 732.684 | − | 155.737i | 1.87387 | − | 0.398304i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 92.2009 | − | 83.0180i | 0.234608 | − | 0.211242i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −245.607 | − | 338.049i | −0.621790 | − | 0.855820i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 102.045 | + | 176.746i | 0.257039 | + | 0.445205i | 0.965447 | − | 0.260598i | \(-0.0839197\pi\) |
−0.708408 | + | 0.705803i | \(0.750586\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 56.8942 | − | 78.3082i | 0.142592 | − | 0.196261i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −103.355 | − | 33.5822i | −0.257744 | − | 0.0837461i | 0.177295 | − | 0.984158i | \(-0.443265\pi\) |
−0.435039 | + | 0.900412i | \(0.643265\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 31.8512 | + | 31.4446i | 0.0790353 | + | 0.0780262i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −11.1478 | + | 34.3094i | −0.0275255 | + | 0.0847147i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −647.919 | − | 470.741i | −1.59194 | − | 1.15661i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −333.237 | + | 192.395i | −0.814761 | + | 0.470403i | −0.848607 | − | 0.529024i | \(-0.822558\pi\) |
0.0338454 | + | 0.999427i | \(0.489225\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −150.415 | + | 109.283i | −0.365974 | + | 0.265896i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 82.5487 | + | 91.6797i | 0.199876 | + | 0.221985i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −137.992 | − | 649.201i | −0.332511 | − | 1.56434i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −216.321 | − | 96.3123i | −0.518755 | − | 0.230965i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −102.457 | − | 315.330i | −0.244527 | − | 0.752578i | −0.995714 | − | 0.0924880i | \(-0.970518\pi\) |
0.751186 | − | 0.660090i | \(-0.229482\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −673.209 | − | 143.095i | −1.59907 | − | 0.339893i | −0.679763 | − | 0.733432i | \(-0.737917\pi\) |
−0.919308 | + | 0.393539i | \(0.871251\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 20.1636 | − | 8.97742i | 0.0476681 | − | 0.0212232i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −95.0935 | + | 9.99473i | −0.223749 | + | 0.0235170i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −326.795 | − | 34.3475i | −0.765328 | − | 0.0804392i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 44.7527 | + | 25.8380i | 0.104319 | + | 0.0602284i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −149.138 | + | 165.635i | −0.346028 | + | 0.384303i | −0.890887 | − | 0.454224i | \(-0.849916\pi\) |
0.544859 | + | 0.838528i | \(0.316583\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 443.738i | − | 1.02480i | −0.858747 | − | 0.512399i | \(-0.828757\pi\) | ||
0.858747 | − | 0.512399i | \(-0.171243\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 338.533 | 0.778237 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 274.403 | + | 247.074i | 0.627925 | + | 0.565386i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −154.468 | + | 267.547i | −0.351864 | + | 0.609447i | −0.986576 | − | 0.163302i | \(-0.947785\pi\) |
0.634712 | + | 0.772749i | \(0.281119\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 11.9570 | − | 113.763i | 0.0271133 | − | 0.257966i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 53.0759 | + | 504.983i | 0.119810 | + | 1.13992i | 0.874903 | + | 0.484299i | \(0.160925\pi\) |
−0.755092 | + | 0.655618i | \(0.772408\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 159.577 | + | 358.415i | 0.358600 | + | 0.805428i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 53.7875 | − | 253.050i | 0.120330 | − | 0.566108i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 753.741 | − | 244.905i | 1.67871 | − | 0.545446i | 0.694050 | − | 0.719926i | \(-0.255824\pi\) |
0.984661 | + | 0.174480i | \(0.0558244\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 467.569 | − | 1050.18i | 1.03674 | − | 2.32855i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 202.538 | − | 43.0509i | 0.447105 | − | 0.0950350i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 31.7801 | − | 28.6149i | 0.0698464 | − | 0.0628900i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 367.652 | + | 506.030i | 0.804491 | + | 1.10729i | 0.992150 | + | 0.125053i | \(0.0399100\pi\) |
−0.187659 | + | 0.982234i | \(0.560090\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 268.782 | + | 465.545i | 0.585582 | + | 1.01426i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −29.2786 | + | 40.2985i | −0.0635110 | + | 0.0874154i | −0.839591 | − | 0.543219i | \(-0.817205\pi\) |
0.776080 | + | 0.630635i | \(0.217205\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 340.483 | + | 110.630i | 0.735385 | + | 0.238941i | 0.652681 | − | 0.757633i | \(-0.273644\pi\) |
0.0827045 | + | 0.996574i | \(0.473644\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 75.2717 | − | 288.315i | 0.161875 | − | 0.620031i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 59.8831 | − | 184.301i | 0.128229 | − | 0.394649i | −0.866246 | − | 0.499617i | \(-0.833474\pi\) |
0.994476 | + | 0.104968i | \(0.0334740\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −278.115 | − | 202.062i | −0.592996 | − | 0.430837i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −5.42606 | + | 3.13274i | −0.0115203 | + | 0.00665124i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −157.298 | + | 114.283i | −0.332553 | + | 0.241614i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −31.5392 | − | 35.0278i | −0.0663983 | − | 0.0737428i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −81.0706 | − | 381.407i | −0.169959 | − | 0.799596i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 366.581 | + | 163.212i | 0.765305 | + | 0.340736i | 0.751989 | − | 0.659176i | \(-0.229095\pi\) |
0.0133158 | + | 0.999911i | \(0.495761\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −17.6164 | − | 54.2178i | −0.0366246 | − | 0.112719i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 343.528 | + | 73.0192i | 0.711239 | + | 0.151178i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −633.688 | + | 282.136i | −1.30657 | + | 0.581724i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 131.620 | − | 13.8339i | 0.270268 | − | 0.0284063i | 0.0315749 | − | 0.999501i | \(-0.489948\pi\) |
0.238693 | + | 0.971095i | \(0.423281\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −367.392 | − | 38.6144i | −0.751312 | − | 0.0789661i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −434.939 | − | 251.112i | −0.885823 | − | 0.511430i | −0.0132491 | − | 0.999912i | \(-0.504217\pi\) |
−0.872574 | + | 0.488482i | \(0.837551\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −482.269 | + | 535.614i | −0.978234 | + | 1.08644i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 650.345i | 1.31383i | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −62.5048 | −0.125764 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 244.205 | + | 219.883i | 0.489389 | + | 0.440648i | 0.876512 | − | 0.481380i | \(-0.159864\pi\) |
−0.387123 | + | 0.922028i | \(0.626531\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 32.5625 | − | 56.4000i | 0.0649951 | − | 0.112575i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −12.9927 | + | 123.617i | −0.0258304 | + | 0.245759i | 0.973986 | + | 0.226607i | \(0.0727634\pi\) |
−0.999817 | + | 0.0191522i | \(0.993903\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −12.7786 | − | 121.580i | −0.0253041 | − | 0.240752i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −119.800 | − | 269.075i | −0.236292 | − | 0.530720i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −39.6424 | + | 186.503i | −0.0778828 | + | 0.366410i | −0.999779 | − | 0.0210273i | \(-0.993306\pi\) |
0.921896 | + | 0.387437i | \(0.126640\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 395.894 | − | 128.634i | 0.774744 | − | 0.251730i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −107.782 | + | 242.083i | −0.210102 | + | 0.471896i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −442.134 | + | 93.9786i | −0.858513 | + | 0.182483i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 56.5214 | − | 50.8921i | 0.109326 | − | 0.0984374i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −121.754 | − | 167.580i | −0.234594 | − | 0.322891i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −77.5760 | − | 134.365i | −0.148898 | − | 0.257899i | 0.781922 | − | 0.623376i | \(-0.214239\pi\) |
−0.930821 | + | 0.365477i | \(0.880906\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −246.486 | + | 339.259i | −0.471293 | + | 0.648680i | −0.976803 | − | 0.214142i | \(-0.931305\pi\) |
0.505509 | + | 0.862821i | \(0.331305\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −42.6372 | − | 13.8537i | −0.0812137 | − | 0.0263879i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 348.929 | + | 529.821i | 0.662105 | + | 1.00535i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −250.536 | + | 771.070i | −0.473603 | + | 1.45760i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −108.042 | − | 78.4969i | −0.203468 | − | 0.147828i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 70.8656 | − | 40.9142i | 0.132956 | − | 0.0767622i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −502.316 | + | 364.954i | −0.938909 | + | 0.682157i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 256.327 | + | 284.680i | 0.477331 | + | 0.530130i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −81.9535 | − | 385.561i | −0.152047 | − | 0.715326i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −424.878 | − | 189.168i | −0.785357 | − | 0.349663i | −0.0254337 | − | 0.999677i | \(-0.508097\pi\) |
−0.759923 | + | 0.650013i | \(0.774763\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 121.205 | + | 373.029i | 0.223213 | + | 0.686979i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 744.900 | + | 158.333i | 1.36679 | + | 0.290520i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 119.820 | − | 53.3474i | 0.219050 | − | 0.0975272i | −0.294278 | − | 0.955720i | \(-0.595079\pi\) |
0.513328 | + | 0.858193i | \(0.328413\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 353.761 | − | 37.1818i | 0.644373 | − | 0.0677263i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −353.343 | − | 37.1378i | −0.641275 | − | 0.0674007i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 361.223 | + | 208.552i | 0.653206 | + | 0.377129i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −253.958 | + | 282.049i | −0.457583 | + | 0.508197i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | − | 253.453i | − | 0.455033i | −0.973774 | − | 0.227516i | \(-0.926939\pi\) | ||
0.973774 | − | 0.227516i | \(-0.0730605\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −13.8400 | −0.0247585 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 544.322 | + | 490.109i | 0.970270 | + | 0.873635i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 422.134 | − | 731.157i | 0.749793 | − | 1.29868i | −0.198128 | − | 0.980176i | \(-0.563486\pi\) |
0.947921 | − | 0.318504i | \(-0.103180\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 10.7779 | − | 102.545i | 0.0190759 | − | 0.181495i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −3.76413 | − | 35.8133i | −0.00663868 | − | 0.0631628i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −161.017 | − | 361.650i | −0.282983 | − | 0.635589i | 0.714997 | − | 0.699128i | \(-0.246428\pi\) |
−0.997979 | + | 0.0635385i | \(0.979761\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −190.116 | + | 894.423i | −0.332952 | + | 1.56642i | 0.419492 | + | 0.907759i | \(0.362208\pi\) |
−0.752444 | + | 0.658657i | \(0.771125\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −620.467 | + | 201.602i | −1.08284 | + | 0.351836i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 69.5603 | − | 156.235i | 0.120974 | − | 0.271713i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −86.4764 | + | 18.3811i | −0.149872 | + | 0.0318564i | −0.282237 | − | 0.959345i | \(-0.591076\pi\) |
0.132364 | + | 0.991201i | \(0.457743\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 485.193 | − | 436.869i | 0.837984 | − | 0.754524i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 389.418 | + | 535.988i | 0.670255 | + | 0.922527i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −671.825 | − | 1163.63i | −1.15236 | − | 1.99594i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −27.2104 | + | 37.4519i | −0.0465135 | + | 0.0640203i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −111.610 | − | 36.2643i | −0.190136 | − | 0.0617790i | 0.212401 | − | 0.977183i | \(-0.431872\pi\) |
−0.402537 | + | 0.915404i | \(0.631872\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −110.193 | + | 292.670i | −0.187085 | + | 0.496892i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 132.100 | − | 406.561i | 0.223519 | − | 0.687921i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −137.176 | − | 99.6640i | −0.231325 | − | 0.168067i | 0.466085 | − | 0.884740i | \(-0.345664\pi\) |
−0.697410 | + | 0.716673i | \(0.745664\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 524.936 | − | 303.072i | 0.882245 | − | 0.509364i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −273.398 | + | 198.635i | −0.457952 | + | 0.332722i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 679.245 | + | 754.378i | 1.13396 | + | 1.25940i | 0.961628 | + | 0.274357i | \(0.0884651\pi\) |
0.172337 | + | 0.985038i | \(0.444868\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 118.607 | + | 558.003i | 0.197350 | + | 0.928457i | 0.959642 | + | 0.281224i | \(0.0907405\pi\) |
−0.762292 | + | 0.647233i | \(0.775926\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 339.963 | + | 151.361i | 0.563785 | + | 0.251013i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 488.835 | + | 1504.48i | 0.807991 | + | 2.48674i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 16.2476 | + | 3.45353i | 0.0267670 | + | 0.00568951i | 0.221276 | − | 0.975211i | \(-0.428978\pi\) |
−0.194509 | + | 0.980901i | \(0.562311\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −308.713 | + | 137.448i | −0.506917 | + | 0.225694i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 5.38426 | − | 0.565909i | 0.00881222 | − | 0.000926201i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −395.523 | − | 41.5712i | −0.645225 | − | 0.0678159i | −0.223737 | − | 0.974650i | \(-0.571826\pi\) |
−0.421489 | + | 0.906834i | \(0.638492\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −471.793 | − | 272.390i | −0.767143 | − | 0.442910i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 601.066 | − | 667.552i | 0.974175 | − | 1.08193i | −0.0224420 | − | 0.999748i | \(-0.507144\pi\) |
0.996617 | − | 0.0821830i | \(-0.0261892\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 496.975i | − | 0.802868i | −0.915888 | − | 0.401434i | \(-0.868512\pi\) | ||
0.915888 | − | 0.401434i | \(-0.131488\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −961.484 | −1.54828 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −291.040 | − | 262.054i | −0.467159 | − | 0.420632i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 359.989 | − | 623.519i | 0.575982 | − | 0.997631i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −37.7415 | + | 359.087i | −0.0601938 | + | 0.572706i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −84.4625 | − | 803.607i | −0.134281 | − | 1.27759i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 197.075 | + | 442.637i | 0.312321 | + | 0.701485i | 0.999692 | − | 0.0248218i | \(-0.00790183\pi\) |
−0.687371 | + | 0.726307i | \(0.741235\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 56.1188 | − | 264.018i | 0.0886553 | − | 0.417090i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 338.806 | − | 110.085i | 0.533553 | − | 0.173362i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.4123 | − | 25.6325i | 0.0179157 | − | 0.0402394i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 66.1838 | − | 14.0678i | 0.103574 | − | 0.0220153i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 210.134 | − | 189.206i | 0.327823 | − | 0.295173i | −0.488740 | − | 0.872429i | \(-0.662543\pi\) |
0.816563 | + | 0.577257i | \(0.195877\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −218.286 | − | 300.445i | −0.339481 | − | 0.467255i | 0.604809 | − | 0.796371i | \(-0.293250\pi\) |
−0.944290 | + | 0.329115i | \(0.893250\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 46.0705 | + | 79.7964i | 0.0714271 | + | 0.123715i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −118.897 | + | 163.648i | −0.183767 | + | 0.252933i | −0.890954 | − | 0.454093i | \(-0.849964\pi\) |
0.707188 | + | 0.707026i | \(0.249964\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −437.665 | − | 142.206i | −0.674368 | − | 0.219115i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 48.4173 | + | 293.479i | 0.0743737 | + | 0.450812i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −67.0601 | + | 206.390i | −0.102695 | + | 0.316064i | −0.989183 | − | 0.146689i | \(-0.953138\pi\) |
0.886487 | + | 0.462753i | \(0.153138\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 309.848 | + | 225.117i | 0.473050 | + | 0.343691i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −390.245 | + | 225.308i | −0.593981 | + | 0.342935i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −286.417 | + | 208.094i | −0.434624 | + | 0.315773i | −0.783495 | − | 0.621398i | \(-0.786565\pi\) |
0.348871 | + | 0.937171i | \(0.386565\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −544.518 | − | 604.748i | −0.823779 | − | 0.914899i | 0.173776 | − | 0.984785i | \(-0.444403\pi\) |
−0.997555 | + | 0.0698860i | \(0.977736\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 10.8401 | + | 50.9987i | 0.0163501 | + | 0.0769211i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 272.966 | + | 121.532i | 0.410475 | + | 0.182755i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −398.357 | − | 1226.02i | −0.597237 | − | 1.83811i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −418.911 | − | 89.0423i | −0.626175 | − | 0.133098i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 1119.76 | − | 498.551i | 1.66880 | − | 0.742998i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −191.630 | + | 20.1412i | −0.284741 | + | 0.0299275i | −0.245822 | − | 0.969315i | \(-0.579058\pi\) |
−0.0389185 | + | 0.999242i | \(0.512391\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 122.062 | + | 12.8292i | 0.180833 | + | 0.0190063i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −401.649 | − | 231.892i | −0.593277 | − | 0.342529i | 0.173115 | − | 0.984902i | \(-0.444617\pi\) |
−0.766392 | + | 0.642373i | \(0.777950\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 463.318 | − | 514.567i | 0.682354 | − | 0.757831i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | − | 99.5249i | − | 0.146145i | ||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 303.747 | 0.444725 | 0.222363 | − | 0.974964i | \(-0.428623\pi\) | ||||
0.222363 | + | 0.974964i | \(0.428623\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −426.517 | − | 384.038i | −0.622653 | − | 0.560639i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −236.174 | + | 409.065i | −0.343775 | + | 0.595436i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 9.99753 | − | 95.1202i | 0.0145102 | − | 0.138055i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 34.2665 | + | 326.024i | 0.0495897 | + | 0.471815i | 0.990932 | + | 0.134362i | \(0.0428986\pi\) |
−0.941343 | + | 0.337453i | \(0.890435\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −264.046 | − | 593.058i | −0.381019 | − | 0.855783i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 151.976 | − | 714.993i | 0.218671 | − | 1.02877i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 1103.07 | − | 358.410i | 1.58260 | − | 0.514219i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 190.533 | − | 427.943i | 0.272579 | − | 0.612222i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 187.693 | − | 39.8953i | 0.267750 | − | 0.0569120i | −0.0720802 | − | 0.997399i | \(-0.522964\pi\) |
0.339830 | + | 0.940487i | \(0.389630\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 296.009 | − | 266.528i | 0.421066 | − | 0.379130i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −21.1859 | − | 29.1599i | −0.0300509 | − | 0.0413615i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 61.0155 | + | 105.682i | 0.0863020 | + | 0.149480i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −106.548 | + | 146.651i | −0.150279 | + | 0.206842i | −0.877519 | − | 0.479542i | \(-0.840803\pi\) |
0.727240 | + | 0.686384i | \(0.240803\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −429.423 | − | 139.528i | −0.603971 | − | 0.196242i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1132.72 | + | 66.6633i | −1.58867 | + | 0.0934970i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −49.2947 | + | 151.713i | −0.0689436 | + | 0.212187i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 235.337 | + | 170.982i | 0.328225 | + | 0.238469i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 12.4104 | − | 7.16515i | 0.0172606 | − | 0.00996544i | −0.491345 | − | 0.870965i | \(-0.663495\pi\) |
0.508605 | + | 0.861000i | \(0.330161\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 365.032 | − | 265.211i | 0.506285 | − | 0.367838i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 320.783 | + | 356.265i | 0.443683 | + | 0.492760i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 34.2132 | + | 160.960i | 0.0471906 | + | 0.222014i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −358.176 | − | 159.470i | −0.492677 | − | 0.219354i | 0.145332 | − | 0.989383i | \(-0.453575\pi\) |
−0.638009 | + | 0.770029i | \(0.720242\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −116.868 | − | 359.684i | −0.160313 | − | 0.493394i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −191.882 | − | 40.7858i | −0.262493 | − | 0.0557945i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1043.68 | + | 464.677i | −1.42385 | + | 0.633938i | −0.966807 | − | 0.255508i | \(-0.917757\pi\) |
−0.457041 | + | 0.889446i | \(0.651091\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −185.777 | + | 19.5259i | −0.252757 | + | 0.0265659i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1275.31 | + | 134.041i | 1.73041 | + | 0.181874i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −172.810 | − | 99.7716i | −0.233842 | − | 0.135009i | 0.378501 | − | 0.925601i | \(-0.376440\pi\) |
−0.612343 | + | 0.790592i | \(0.709773\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −17.1976 | + | 19.0999i | −0.0232087 | + | 0.0257758i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | − | 962.274i | − | 1.29512i | −0.762015 | − | 0.647560i | \(-0.775790\pi\) | ||
0.762015 | − | 0.647560i | \(-0.224210\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 798.604 | 1.07195 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −532.973 | − | 479.891i | −0.713485 | − | 0.642425i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 309.894 | − | 536.751i | 0.413743 | − | 0.716624i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −24.2010 | + | 230.257i | −0.0322250 | + | 0.306601i | 0.966523 | + | 0.256580i | \(0.0825956\pi\) |
−0.998748 | + | 0.0500212i | \(0.984071\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 66.0604 | + | 628.523i | 0.0877297 | + | 0.834692i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 259.983 | + | 583.932i | 0.344348 | + | 0.773419i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −35.5524 | + | 167.261i | −0.0469648 | + | 0.220952i | −0.995371 | − | 0.0961053i | \(-0.969361\pi\) |
0.948406 | + | 0.317057i | \(0.102695\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −1245.95 | + | 404.833i | −1.64157 | + | 0.533377i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −107.789 | + | 242.097i | −0.141641 | + | 0.318131i | −0.970411 | − | 0.241458i | \(-0.922374\pi\) |
0.828770 | + | 0.559589i | \(0.189041\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −743.568 | + | 158.050i | −0.974533 | + | 0.207143i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −487.622 | + | 439.057i | −0.637414 | + | 0.573930i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −19.2542 | − | 26.5012i | −0.0251033 | − | 0.0345517i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 666.556 | + | 1154.51i | 0.866783 | + | 1.50131i | 0.865265 | + | 0.501314i | \(0.167150\pi\) |
0.00151784 | + | 0.999999i | \(0.499517\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 379.759 | − | 522.693i | 0.492554 | − | 0.677942i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 960.282 | + | 312.014i | 1.24228 | + | 0.403641i | 0.855148 | − | 0.518384i | \(-0.173466\pi\) |
0.387131 | + | 0.922025i | \(0.373466\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 144.690 | + | 6.65105i | 0.186697 | + | 0.00858200i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 117.073 | − | 360.314i | 0.150673 | − | 0.463724i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 462.550 | + | 336.062i | 0.593774 | + | 0.431402i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 201.920 | − | 116.579i | 0.258540 | − | 0.149268i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 748.456 | − | 543.785i | 0.955882 | − | 0.694489i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −12.9418 | − | 14.3733i | −0.0164863 | − | 0.0183099i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 301.179 | + | 1416.94i | 0.382693 | + | 1.80043i | 0.573952 | + | 0.818889i | \(0.305410\pi\) |
−0.191259 | + | 0.981540i | \(0.561257\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −66.2165 | − | 29.4815i | −0.0839246 | − | 0.0373656i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 31.8056 | + | 97.8877i | 0.0402094 | + | 0.123752i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 85.3441 | + | 18.1404i | 0.107622 | + | 0.0228757i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −581.707 | + | 258.993i | −0.731707 | + | 0.325777i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 500.302 | − | 52.5839i | 0.627731 | − | 0.0659772i | 0.214679 | − | 0.976685i | \(-0.431129\pi\) |
0.413052 | + | 0.910707i | \(0.364463\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 76.3168 | + | 8.02122i | 0.0955154 | + | 0.0100391i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 367.151 | + | 211.975i | 0.458365 | + | 0.264637i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −1039.01 | + | 1153.94i | −1.29391 | + | 1.43703i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 1084.14i | 1.34676i | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −116.142 | −0.143918 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −336.433 | − | 302.925i | −0.415862 | − | 0.374444i | 0.434473 | − | 0.900685i | \(-0.356934\pi\) |
−0.850336 | + | 0.526241i | \(0.823601\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −723.353 | + | 1252.88i | −0.891928 | + | 1.54486i | −0.0543658 | + | 0.998521i | \(0.517314\pi\) |
−0.837562 | + | 0.546343i | \(0.816020\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 44.8101 | − | 426.340i | 0.0551170 | − | 0.524403i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −119.201 | − | 1134.12i | −0.146258 | − | 1.39156i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −39.3320 | − | 88.3412i | −0.0481420 | − | 0.108129i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 9.60767 | − | 45.2005i | 0.0117310 | − | 0.0551899i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −279.062 | + | 90.6727i | −0.339905 | + | 0.110442i | −0.473996 | − | 0.880527i | \(-0.657189\pi\) |
0.134091 | + | 0.990969i | \(0.457189\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −542.691 | + | 1218.90i | −0.659405 | + | 1.48105i | 0.205264 | + | 0.978707i | \(0.434195\pi\) |
−0.864669 | + | 0.502342i | \(0.832472\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 163.577 | − | 34.7694i | 0.198275 | − | 0.0421447i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −778.763 | + | 701.202i | −0.941673 | + | 0.847886i | −0.988531 | − | 0.151016i | \(-0.951746\pi\) |
0.0468587 | + | 0.998902i | \(0.485079\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −412.388 | − | 567.604i | −0.497453 | − | 0.684685i | 0.484288 | − | 0.874909i | \(-0.339079\pi\) |
−0.981741 | + | 0.190224i | \(0.939079\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 221.141 | + | 383.027i | 0.266114 | + | 0.460923i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 233.762 | − | 321.745i | 0.280626 | − | 0.386249i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 191.198 | + | 62.1240i | 0.228980 | + | 0.0744000i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −296.702 | − | 758.337i | −0.354483 | − | 0.906018i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 221.778 | − | 682.564i | 0.264337 | − | 0.813545i | −0.727509 | − | 0.686098i | \(-0.759322\pi\) |
0.991845 | − | 0.127446i | \(-0.0406780\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 323.109 | + | 234.753i | 0.384197 | + | 0.279135i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −76.9900 | + | 44.4502i | −0.0913286 | + | 0.0527286i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 735.580 | − | 534.430i | 0.870509 | − | 0.632462i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1056.61 | − | 1173.48i | −1.24747 | − | 1.38546i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 19.4005 | + | 91.2724i | 0.0228511 | + | 0.107506i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1320.29 | + | 587.833i | 1.55146 | + | 0.690755i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 229.416 | + | 706.071i | 0.268952 | + | 0.827751i | 0.990756 | + | 0.135653i | \(0.0433132\pi\) |
−0.721804 | + | 0.692098i | \(0.756687\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −316.386 | − | 67.2499i | −0.370042 | − | 0.0786548i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1341.35 | − | 597.209i | 1.56517 | − | 0.696860i | 0.572750 | − | 0.819730i | \(-0.305877\pi\) |
0.992423 | + | 0.122871i | \(0.0392101\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −440.624 | + | 46.3114i | −0.512950 | + | 0.0539132i | −0.357468 | − | 0.933925i | \(-0.616360\pi\) |
−0.155482 | + | 0.987839i | \(0.549693\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 540.827 | + | 56.8432i | 0.628138 | + | 0.0660199i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 1449.29 | + | 836.749i | 1.67936 | + | 0.969582i | 0.962066 | + | 0.272815i | \(0.0879548\pi\) |
0.717298 | + | 0.696766i | \(0.245379\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 427.864 | − | 475.191i | 0.494640 | − | 0.549354i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 229.036i | 0.264171i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1555.90 | −1.79044 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 67.8341 | + | 61.0781i | 0.0778807 | + | 0.0701241i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −374.777 | + | 649.132i | −0.429298 | + | 0.743565i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −62.9356 | + | 598.793i | −0.0719264 | + | 0.684334i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 64.5896 | + | 614.529i | 0.0736483 | + | 0.700717i | 0.967589 | + | 0.252531i | \(0.0812630\pi\) |
−0.893940 | + | 0.448186i | \(0.852070\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 300.307 | + | 674.500i | 0.341646 | + | 0.767350i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 242.220 | − | 1139.56i | 0.274938 | − | 1.29348i | −0.596356 | − | 0.802720i | \(-0.703385\pi\) |
0.871294 | − | 0.490761i | \(-0.163281\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −619.778 | + | 201.378i | −0.701900 | + | 0.228061i | −0.638158 | − | 0.769905i | \(-0.720303\pi\) |
−0.0637420 | + | 0.997966i | \(0.520303\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −88.7027 | + | 199.230i | −0.100229 | + | 0.225118i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −356.160 | + | 75.7041i | −0.401533 | + | 0.0853485i | −0.404252 | − | 0.914648i | \(-0.632468\pi\) |
0.00271850 | + | 0.999996i | \(0.499135\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −264.266 | + | 237.946i | −0.297262 | + | 0.267656i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 78.9559 | + | 108.673i | 0.0886149 | + | 0.121968i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 18.9138 | + | 32.7596i | 0.0211801 | + | 0.0366849i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −695.073 | + | 956.687i | −0.776618 | + | 1.06892i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −88.6895 | − | 28.8170i | −0.0988735 | − | 0.0321259i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 844.050 | − | 692.524i | 0.938877 | − | 0.770327i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 418.923 | − | 1289.31i | 0.464953 | − | 1.43098i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −74.4104 | − | 54.0623i | −0.0824035 | − | 0.0598696i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −1048.57 | + | 605.391i | −1.15864 | + | 0.668940i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 851.493 | − | 618.646i | 0.938801 | − | 0.682079i | −0.00933072 | − | 0.999956i | \(-0.502970\pi\) |
0.948132 | + | 0.317878i | \(0.102970\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −88.3925 | − | 98.1699i | −0.0972415 | − | 0.107998i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 122.199 | + | 574.902i | 0.134137 | + | 0.631067i | 0.992926 | + | 0.118737i | \(0.0378844\pi\) |
−0.858788 | + | 0.512331i | \(0.828782\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −2257.69 | − | 1005.19i | −2.47282 | − | 1.10097i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −179.501 | − | 552.448i | −0.196176 | − | 0.603768i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −373.954 | − | 79.4863i | −0.407801 | − | 0.0866808i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1461.88 | − | 650.871i | 1.59073 | − | 0.708238i | 0.595279 | − | 0.803519i | \(-0.297042\pi\) |
0.995450 | + | 0.0952811i | \(0.0303750\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 380.242 | − | 39.9650i | 0.412858 | − | 0.0433931i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 16.5058 | + | 1.73483i | 0.0178827 | + | 0.00187955i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −159.770 | − | 92.2433i | −0.172724 | − | 0.0997224i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −326.827 | + | 362.978i | −0.352564 | + | 0.391562i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 634.016i | 0.682472i | 0.939978 | + | 0.341236i | \(0.110845\pi\) | ||||
−0.939978 | + | 0.341236i | \(0.889155\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 196.046 | 0.210575 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 731.674 | + | 658.802i | 0.784216 | + | 0.706112i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1130.53 | + | 1958.13i | −1.20912 | + | 2.09426i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 165.438 | − | 1574.04i | 0.176562 | − | 1.67987i | −0.444243 | − | 0.895906i | \(-0.646527\pi\) |
0.620805 | − | 0.783965i | \(-0.286806\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −82.7519 | − | 787.332i | −0.0881277 | − | 0.838479i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −322.581 | − | 724.528i | −0.342806 | − | 0.769955i | −0.999870 | − | 0.0161203i | \(-0.994869\pi\) |
0.657064 | − | 0.753835i | \(-0.271798\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −431.309 | + | 2029.15i | −0.457380 | + | 2.15180i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −739.966 | + | 240.429i | −0.783032 | + | 0.254423i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 94.2280 | − | 211.639i | 0.0995015 | − | 0.223484i | −0.856935 | − | 0.515425i | \(-0.827634\pi\) |
0.956437 | + | 0.291940i | \(0.0943009\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −108.115 | + | 22.9805i | −0.113925 | + | 0.0242155i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 330.332 | − | 297.432i | 0.347352 | − | 0.312757i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −444.716 | − | 612.099i | −0.466648 | − | 0.642286i | 0.509223 | − | 0.860635i | \(-0.329933\pi\) |
−0.975871 | + | 0.218349i | \(0.929933\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1006.96 | − | 1744.10i | −1.05441 | − | 1.82628i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 740.932 | − | 1019.81i | 0.774224 | − | 1.06563i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 544.870 | + | 177.039i | 0.568164 | + | 0.184608i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −402.122 | − | 872.822i | −0.418441 | − | 0.908244i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −207.329 | + | 638.092i | −0.215294 | + | 0.662608i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 1630.52 | + | 1184.65i | 1.68966 | + | 1.22761i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 588.730 | − | 339.903i | 0.608821 | − | 0.351503i | −0.163683 | − | 0.986513i | \(-0.552337\pi\) |
0.772504 | + | 0.635010i | \(0.219004\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −294.719 | + | 214.126i | −0.304148 | + | 0.220976i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −906.331 | − | 1006.58i | −0.933400 | − | 1.03665i | −0.999246 | − | 0.0388159i | \(-0.987641\pi\) |
0.0658464 | − | 0.997830i | \(-0.479025\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 151.705 | + | 713.715i | 0.155915 | + | 0.733520i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 10.8748 | + | 4.84176i | 0.0111536 | + | 0.00496591i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 14.1767 | + | 43.6314i | 0.0145104 | + | 0.0446585i | 0.958050 | − | 0.286603i | \(-0.0925259\pi\) |
−0.943539 | + | 0.331261i | \(0.892526\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 1428.96 | + | 303.734i | 1.45961 | + | 0.310250i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 751.763 | − | 334.706i | 0.766323 | − | 0.341189i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −291.460 | + | 30.6337i | −0.296501 | + | 0.0311635i | −0.251611 | − | 0.967828i | \(-0.580960\pi\) |
−0.0448897 | + | 0.998992i | \(0.514294\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1312.39 | + | 137.938i | 1.33238 | + | 0.140038i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 31.1589 | + | 17.9896i | 0.0315693 | + | 0.0182265i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 234.775 | − | 260.744i | 0.237387 | − | 0.263645i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 490.075i | − | 0.494525i | −0.968948 | − | 0.247263i | \(-0.920469\pi\) | ||
0.968948 | − | 0.247263i | \(-0.0795311\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 818.800 | 0.824572 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −775.246 | − | 698.034i | −0.779141 | − | 0.701542i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 514.371 | − | 890.916i | 0.515919 | − | 0.893597i | −0.483911 | − | 0.875117i | \(-0.660784\pi\) |
0.999829 | − | 0.0184798i | \(-0.00588262\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −108.416 | + | 1031.51i | −0.108525 | + | 1.03254i |
(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 | 124.3.o.a.17.2 | ✓ | 40 | |
31.11 | odd | 30 | inner | 124.3.o.a.73.2 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.3.o.a.17.2 | ✓ | 40 | 1.1 | even | 1 | trivial | |
124.3.o.a.73.2 | yes | 40 | 31.11 | odd | 30 | inner |