Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [912,2,Mod(289,912)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(912, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("912.289");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 912 = 2^{4} \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 912.bo (of order \(9\), degree \(6\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.28235666434\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 114) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 385.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 912.385 |
Dual form | 912.2.bo.c.289.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/912\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(229\) | \(305\) | \(799\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) | \(1\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −0.173648 | + | 0.984808i | −0.100256 | + | 0.568579i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.97178 | − | 2.49362i | −1.32902 | − | 1.11518i | −0.984305 | − | 0.176474i | \(-0.943531\pi\) |
−0.344716 | − | 0.938707i | \(-0.612025\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.613341 | + | 1.06234i | 0.231821 | + | 0.401526i | 0.958344 | − | 0.285616i | \(-0.0921983\pi\) |
−0.726523 | + | 0.687142i | \(0.758865\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.939693 | − | 0.342020i | −0.313231 | − | 0.114007i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.06031 | + | 1.83651i | −0.319695 | + | 0.553727i | −0.980424 | − | 0.196897i | \(-0.936914\pi\) |
0.660730 | + | 0.750624i | \(0.270247\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.0851223 | + | 0.482753i | 0.0236087 | + | 0.133891i | 0.994334 | − | 0.106301i | \(-0.0339006\pi\) |
−0.970725 | + | 0.240192i | \(0.922790\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 2.97178 | − | 2.49362i | 0.767311 | − | 0.643850i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 5.19846 | − | 1.89209i | 1.26081 | − | 0.458898i | 0.376771 | − | 0.926306i | \(-0.377034\pi\) |
0.884042 | + | 0.467408i | \(0.154812\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.77719 | + | 3.35965i | −0.637131 | + | 0.770756i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −1.15270 | + | 0.419550i | −0.251541 | + | 0.0915533i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 6.85117 | − | 5.74881i | 1.42857 | − | 1.19871i | 0.482013 | − | 0.876164i | \(-0.339906\pi\) |
0.946554 | − | 0.322546i | \(-0.104539\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.74510 | + | 9.89695i | 0.349020 | + | 1.97939i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0.500000 | − | 0.866025i | 0.0962250 | − | 0.166667i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 7.96451 | + | 2.89884i | 1.47897 | + | 0.538302i | 0.950521 | − | 0.310662i | \(-0.100551\pi\) |
0.528451 | + | 0.848964i | \(0.322773\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.20574 | + | 2.08840i | 0.216557 | + | 0.375087i | 0.953753 | − | 0.300591i | \(-0.0971840\pi\) |
−0.737196 | + | 0.675679i | \(0.763851\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.62449 | − | 1.36310i | −0.282787 | − | 0.237286i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0.826352 | − | 4.68647i | 0.139679 | − | 0.792159i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.69459 | 0.278589 | 0.139295 | − | 0.990251i | \(-0.455516\pi\) | ||||
0.139295 | + | 0.990251i | \(0.455516\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.490200 | −0.0784948 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 0.277189 | − | 1.57202i | 0.0432896 | − | 0.245508i | −0.955483 | − | 0.295048i | \(-0.904664\pi\) |
0.998772 | + | 0.0495401i | \(0.0157756\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.08512 | + | 4.26692i | 0.775474 | + | 0.650700i | 0.942104 | − | 0.335320i | \(-0.108844\pi\) |
−0.166631 | + | 0.986019i | \(0.553289\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 1.93969 | + | 3.35965i | 0.289152 | + | 0.500826i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 2.03936 | + | 0.742267i | 0.297472 | + | 0.108271i | 0.486444 | − | 0.873711i | \(-0.338294\pi\) |
−0.188973 | + | 0.981982i | \(0.560516\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.74763 | − | 4.75903i | 0.392518 | − | 0.679861i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.960637 | + | 5.44804i | 0.134516 | + | 0.762879i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 6.80793 | − | 5.71253i | 0.935142 | − | 0.784677i | −0.0415917 | − | 0.999135i | \(-0.513243\pi\) |
0.976733 | + | 0.214458i | \(0.0687984\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.73055 | − | 2.81369i | 1.04239 | − | 0.379398i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −2.82635 | − | 3.31839i | −0.374359 | − | 0.439532i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −10.7306 | + | 3.90560i | −1.39700 | + | 0.508466i | −0.927286 | − | 0.374353i | \(-0.877865\pi\) |
−0.469713 | + | 0.882819i | \(0.655643\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.0320889 | − | 0.0269258i | 0.00410856 | − | 0.00344749i | −0.640731 | − | 0.767765i | \(-0.721369\pi\) |
0.644840 | + | 0.764318i | \(0.276924\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −0.213011 | − | 1.20805i | −0.0268369 | − | 0.152199i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.950837 | − | 1.64690i | 0.117937 | − | 0.204273i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.20574 | + | 1.53076i | 0.513813 | + | 0.187012i | 0.585896 | − | 0.810386i | \(-0.300743\pi\) |
−0.0720836 | + | 0.997399i | \(0.522965\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.47178 | + | 7.74535i | 0.538339 | + | 0.932431i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.02094 | − | 1.69577i | −0.239842 | − | 0.201251i | 0.514941 | − | 0.857225i | \(-0.327814\pi\) |
−0.754783 | + | 0.655974i | \(0.772258\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −2.66772 | + | 15.1294i | −0.312233 | + | 1.77076i | 0.275101 | + | 0.961415i | \(0.411289\pi\) |
−0.587334 | + | 0.809345i | \(0.699822\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −10.0496 | −1.16043 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −2.60132 | −0.296448 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.809278 | − | 4.58964i | 0.0910509 | − | 0.516375i | −0.904835 | − | 0.425762i | \(-0.860006\pi\) |
0.995886 | − | 0.0906133i | \(-0.0288827\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.766044 | + | 0.642788i | 0.0851160 | + | 0.0714208i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 6.24035 | + | 10.8086i | 0.684968 | + | 1.18640i | 0.973447 | + | 0.228913i | \(0.0735170\pi\) |
−0.288479 | + | 0.957486i | \(0.593150\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −20.1668 | − | 7.34013i | −2.18740 | − | 0.796149i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4.23783 | + | 7.34013i | −0.454343 | + | 0.786945i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 1.46838 | + | 8.32759i | 0.155648 | + | 0.882722i | 0.958191 | + | 0.286129i | \(0.0923685\pi\) |
−0.802543 | + | 0.596594i | \(0.796520\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.460637 | + | 0.386520i | −0.0482879 | + | 0.0405184i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −2.26604 | + | 0.824773i | −0.234978 | + | 0.0855249i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 16.6309 | − | 3.05888i | 1.70629 | − | 0.313834i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 13.5103 | − | 4.91734i | 1.37176 | − | 0.499280i | 0.452090 | − | 0.891972i | \(-0.350679\pi\) |
0.919670 | + | 0.392693i | \(0.128456\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 1.62449 | − | 1.36310i | 0.163267 | − | 0.136997i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.988856 | + | 5.60808i | 0.0983948 | + | 0.558025i | 0.993654 | + | 0.112479i | \(0.0358792\pi\) |
−0.895259 | + | 0.445546i | \(0.853010\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −0.156574 | + | 0.271194i | −0.0154277 | + | 0.0267216i | −0.873636 | − | 0.486580i | \(-0.838244\pi\) |
0.858208 | + | 0.513301i | \(0.171578\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 4.47178 | + | 1.62760i | 0.436401 | + | 0.158837i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −8.41400 | − | 14.5735i | −0.813412 | − | 1.40887i | −0.910462 | − | 0.413592i | \(-0.864274\pi\) |
0.0970504 | − | 0.995279i | \(-0.469059\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.97565 | − | 6.69237i | −0.763929 | − | 0.641012i | 0.175217 | − | 0.984530i | \(-0.443937\pi\) |
−0.939146 | + | 0.343517i | \(0.888382\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.294263 | + | 1.66885i | −0.0279302 | + | 0.158400i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −17.3824 | −1.63520 | −0.817598 | − | 0.575789i | \(-0.804695\pi\) | ||||
−0.817598 | + | 0.575789i | \(0.804695\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −34.6955 | −3.23537 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.0851223 | − | 0.482753i | 0.00786956 | − | 0.0446305i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 5.19846 | + | 4.36203i | 0.476542 | + | 0.399866i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.25150 | + | 5.63176i | 0.295591 | + | 0.511978i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 1.50000 | + | 0.545955i | 0.135250 | + | 0.0492271i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.79473 | − | 16.9650i | 0.876067 | − | 1.51739i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.283119 | + | 1.60565i | 0.0251227 | + | 0.142478i | 0.994789 | − | 0.101954i | \(-0.0325095\pi\) |
−0.969666 | + | 0.244432i | \(0.921398\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −5.08512 | + | 4.26692i | −0.447720 | + | 0.375682i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.60354 | − | 2.03952i | 0.489584 | − | 0.178194i | −0.0854195 | − | 0.996345i | \(-0.527223\pi\) |
0.575003 | + | 0.818151i | \(0.305001\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −5.27244 | − | 0.889704i | −0.457179 | − | 0.0771471i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −3.64543 | + | 1.32683i | −0.313749 | + | 0.114195i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −0.0150147 | + | 0.0125989i | −0.00128280 | + | 0.00107639i | −0.643429 | − | 0.765506i | \(-0.722489\pi\) |
0.642146 | + | 0.766582i | \(0.278044\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −0.780592 | − | 4.42696i | −0.0662090 | − | 0.375490i | −0.999851 | − | 0.0172815i | \(-0.994499\pi\) |
0.933642 | − | 0.358208i | \(-0.116612\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.08512 | + | 1.87949i | −0.0913838 | + | 0.158281i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.976834 | − | 0.355538i | −0.0816870 | − | 0.0297316i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −16.4402 | − | 28.4752i | −1.36528 | − | 2.36474i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 4.20961 | + | 3.53228i | 0.347203 | + | 0.291338i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 2.08899 | − | 11.8473i | 0.171137 | − | 0.970566i | −0.771372 | − | 0.636385i | \(-0.780429\pi\) |
0.942509 | − | 0.334181i | \(-0.108460\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.0591253 | −0.00481155 | −0.00240578 | − | 0.999997i | \(-0.500766\pi\) | ||||
−0.00240578 | + | 0.999997i | \(0.500766\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −5.53209 | −0.447243 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.62449 | − | 9.21291i | 0.130482 | − | 0.739999i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.92649 | + | 8.32931i | 0.792220 | + | 0.664752i | 0.946294 | − | 0.323308i | \(-0.104795\pi\) |
−0.154074 | + | 0.988059i | \(0.549239\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 4.44356 | + | 7.69648i | 0.352397 | + | 0.610370i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 10.3093 | + | 3.75227i | 0.812485 | + | 0.295720i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 7.53596 | − | 13.0527i | 0.590262 | − | 1.02236i | −0.403935 | − | 0.914788i | \(-0.632358\pi\) |
0.994197 | − | 0.107576i | \(-0.0343089\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 1.42855 | + | 8.10170i | 0.111212 | + | 0.630716i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1.48680 | − | 1.24757i | 0.115052 | − | 0.0965399i | −0.583447 | − | 0.812151i | \(-0.698296\pi\) |
0.698499 | + | 0.715612i | \(0.253852\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 11.9902 | − | 4.36408i | 0.922323 | − | 0.335698i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.75877 | − | 2.20718i | 0.287440 | − | 0.168787i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −15.1027 | + | 5.49692i | −1.14823 | + | 0.417923i | −0.844881 | − | 0.534955i | \(-0.820329\pi\) |
−0.303354 | + | 0.952878i | \(0.598106\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −9.44356 | + | 7.92409i | −0.713866 | + | 0.599005i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.98293 | − | 11.2457i | −0.149046 | − | 0.845281i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.38713 | − | 12.7949i | 0.552140 | − | 0.956334i | −0.445980 | − | 0.895043i | \(-0.647145\pi\) |
0.998120 | − | 0.0612912i | \(-0.0195218\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 17.1275 | + | 6.23389i | 1.27308 | + | 0.463362i | 0.888136 | − | 0.459580i | \(-0.152000\pi\) |
0.384939 | + | 0.922942i | \(0.374222\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0.0209445 | + | 0.0362770i | 0.00154826 | + | 0.00268167i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −5.03596 | − | 4.22567i | −0.370251 | − | 0.310678i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.03714 | + | 11.5532i | −0.148971 | + | 0.844854i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 1.22668 | 0.0892280 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.29086 | −0.0934033 | −0.0467017 | − | 0.998909i | \(-0.514871\pi\) | ||||
−0.0467017 | + | 0.998909i | \(0.514871\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.58378 | + | 8.98205i | −0.114003 | + | 0.646542i | 0.873236 | + | 0.487297i | \(0.162017\pi\) |
−0.987239 | + | 0.159245i | \(0.949094\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 1.45677 | + | 1.22237i | 0.104321 | + | 0.0875359i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −9.31180 | − | 16.1285i | −0.663439 | − | 1.14911i | −0.979706 | − | 0.200439i | \(-0.935763\pi\) |
0.316268 | − | 0.948670i | \(-0.397570\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.92262 | + | 2.88360i | 0.561620 | + | 0.204413i | 0.607202 | − | 0.794548i | \(-0.292292\pi\) |
−0.0455821 | + | 0.998961i | \(0.514514\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.23783 | + | 3.87603i | −0.157844 | + | 0.273394i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 1.80541 | + | 10.2390i | 0.126715 | + | 0.718635i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.74376 | + | 3.98048i | −0.331318 | + | 0.278009i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −8.40420 | + | 3.05888i | −0.584132 | + | 0.212607i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −3.22534 | − | 8.66258i | −0.223101 | − | 0.599203i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.37939 | + | 0.502055i | −0.0949608 | + | 0.0345629i | −0.389064 | − | 0.921211i | \(-0.627201\pi\) |
0.294103 | + | 0.955774i | \(0.404979\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 2.02094 | − | 1.69577i | 0.138473 | − | 0.116193i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −4.47178 | − | 25.3607i | −0.304973 | − | 1.72959i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.47906 | + | 2.56180i | −0.100405 | + | 0.173906i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −14.4363 | − | 5.25438i | −0.975514 | − | 0.355058i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.35591 | + | 2.34851i | 0.0912087 | + | 0.157978i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −20.1229 | − | 16.8851i | −1.34753 | − | 1.13071i | −0.979622 | − | 0.200848i | \(-0.935630\pi\) |
−0.367906 | − | 0.929863i | \(-0.619925\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 1.74510 | − | 9.89695i | 0.116340 | − | 0.659797i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −18.3678 | −1.21912 | −0.609558 | − | 0.792742i | \(-0.708653\pi\) | ||||
−0.609558 | + | 0.792742i | \(0.708653\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.87164 | 0.255845 | 0.127923 | − | 0.991784i | \(-0.459169\pi\) | ||||
0.127923 | + | 0.991784i | \(0.459169\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.451714 | − | 2.56180i | 0.0297206 | − | 0.168554i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 12.5988 | + | 10.5716i | 0.825374 | + | 0.692571i | 0.954224 | − | 0.299093i | \(-0.0966840\pi\) |
−0.128850 | + | 0.991664i | \(0.541128\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −4.20961 | − | 7.29125i | −0.274605 | − | 0.475629i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 4.37939 | + | 1.59397i | 0.284472 | + | 0.103539i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.65270 | − | 2.86257i | 0.106905 | − | 0.185164i | −0.807610 | − | 0.589717i | \(-0.799239\pi\) |
0.914515 | + | 0.404553i | \(0.132573\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.523633 | + | 2.96967i | 0.0337302 | + | 0.191293i | 0.997017 | − | 0.0771806i | \(-0.0245918\pi\) |
−0.963287 | + | 0.268474i | \(0.913481\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −0.766044 | + | 0.642788i | −0.0491418 | + | 0.0412348i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −20.0326 | + | 7.29125i | −1.27983 | + | 0.465821i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.85828 | − | 1.05471i | −0.118239 | − | 0.0671099i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −11.7280 | + | 4.26865i | −0.743233 | + | 0.270515i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.70780 | − | 2.27211i | 0.170915 | − | 0.143414i | −0.553318 | − | 0.832970i | \(-0.686639\pi\) |
0.724233 | + | 0.689556i | \(0.242194\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.29339 | + | 18.6777i | 0.207053 | + | 1.17426i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 10.7306 | − | 18.5859i | 0.671973 | − | 1.16389i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 4.41875 | + | 1.60829i | 0.275634 | + | 0.100323i | 0.476139 | − | 0.879370i | \(-0.342036\pi\) |
−0.200505 | + | 0.979693i | \(0.564258\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.03936 | + | 1.80023i | 0.0645829 | + | 0.111861i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −6.49273 | − | 5.44804i | −0.401890 | − | 0.337225i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.65745 | + | 20.7424i | −0.225528 | + | 1.27903i | 0.636145 | + | 0.771570i | \(0.280528\pi\) |
−0.861673 | + | 0.507464i | \(0.830583\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −34.4766 | −2.11788 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −8.45605 | −0.517502 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.75015 | − | 9.92561i | 0.106709 | − | 0.605175i | −0.883815 | − | 0.467836i | \(-0.845034\pi\) |
0.990524 | − | 0.137339i | \(-0.0438550\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.47952 | + | 6.27606i | 0.454349 | + | 0.381244i | 0.841047 | − | 0.540963i | \(-0.181940\pi\) |
−0.386698 | + | 0.922206i | \(0.626384\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.300660 | − | 0.520758i | −0.0181967 | − | 0.0315177i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −20.0262 | − | 7.28893i | −1.20762 | − | 0.439539i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.42855 | + | 14.5987i | −0.506422 | + | 0.877149i | 0.493550 | + | 0.869717i | \(0.335699\pi\) |
−0.999972 | + | 0.00743188i | \(0.997634\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.418748 | − | 2.37484i | −0.0250698 | − | 0.142178i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −8.98158 | + | 7.53644i | −0.535796 | + | 0.449586i | −0.870097 | − | 0.492880i | \(-0.835944\pi\) |
0.334301 | + | 0.942466i | \(0.391500\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −20.2456 | + | 7.36878i | −1.20347 | + | 0.438029i | −0.864435 | − | 0.502744i | \(-0.832324\pi\) |
−0.339039 | + | 0.940772i | \(0.610102\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0.124485 | + | 16.9094i | 0.00737386 | + | 1.00163i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 1.84002 | − | 0.669713i | 0.108613 | − | 0.0395319i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 10.4213 | − | 8.74449i | 0.613016 | − | 0.514382i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 2.49660 | + | 14.1589i | 0.146353 | + | 0.830010i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 5.56031 | − | 9.63073i | 0.324837 | − | 0.562634i | −0.656643 | − | 0.754202i | \(-0.728024\pi\) |
0.981479 | + | 0.191568i | \(0.0613573\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 41.6279 | + | 15.1513i | 2.42367 | + | 0.882145i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1.06031 | + | 1.83651i | 0.0615253 | + | 0.106565i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 3.35844 | + | 2.81807i | 0.194224 | + | 0.162973i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.41400 | + | 8.01919i | −0.0815016 | + | 0.462219i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −5.69459 | −0.327146 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −0.162504 | −0.00930494 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.34817 | + | 24.6597i | −0.248163 | + | 1.40740i | 0.564866 | + | 0.825182i | \(0.308928\pi\) |
−0.813030 | + | 0.582222i | \(0.802183\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.239885 | − | 0.201288i | −0.0136466 | − | 0.0114509i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.0282185 | + | 0.0488759i | 0.00160012 | + | 0.00277150i | 0.866824 | − | 0.498614i | \(-0.166157\pi\) |
−0.865224 | + | 0.501385i | \(0.832824\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −12.9338 | − | 4.70750i | −0.731059 | − | 0.266084i | −0.0504462 | − | 0.998727i | \(-0.516064\pi\) |
−0.680613 | + | 0.732643i | \(0.738287\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.37939 | + | 4.12122i | −0.134063 | + | 0.232204i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 1.89347 | + | 10.7384i | 0.106348 | + | 0.603128i | 0.990673 | + | 0.136257i | \(0.0435074\pi\) |
−0.884326 | + | 0.466870i | \(0.845381\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −13.7686 | + | 11.5532i | −0.770892 | + | 0.646855i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 15.8131 | − | 5.75552i | 0.882604 | − | 0.321242i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −8.08037 | + | 22.7197i | −0.449604 | + | 1.26416i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −4.62923 | + | 1.68490i | −0.256784 | + | 0.0934616i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7.97565 | − | 6.69237i | 0.441055 | − | 0.370089i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0.462286 | + | 2.62175i | 0.0254867 | + | 0.144542i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.29561 | − | 7.44021i | 0.236108 | − | 0.408951i | −0.723486 | − | 0.690339i | \(-0.757461\pi\) |
0.959594 | + | 0.281388i | \(0.0907948\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −1.59240 | − | 0.579585i | −0.0872628 | − | 0.0317611i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −8.68139 | − | 15.0366i | −0.474315 | − | 0.821538i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.76991 | − | 1.48513i | −0.0964134 | − | 0.0809005i | 0.593307 | − | 0.804976i | \(-0.297822\pi\) |
−0.689720 | + | 0.724076i | \(0.742267\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 3.01842 | − | 17.1183i | 0.163938 | − | 0.929738i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −5.11381 | −0.276928 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.3277 | 0.827618 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 6.02481 | − | 34.1684i | 0.324365 | − | 1.83957i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 2.51707 | + | 2.11208i | 0.135124 | + | 0.113382i | 0.707845 | − | 0.706368i | \(-0.249668\pi\) |
−0.572721 | + | 0.819750i | \(0.694112\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −14.6741 | − | 25.4163i | −0.785487 | − | 1.36050i | −0.928707 | − | 0.370813i | \(-0.879079\pi\) |
0.143220 | − | 0.989691i | \(-0.454254\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.460637 | + | 0.167658i | 0.0245870 | + | 0.00894893i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 3.86959 | − | 6.70232i | 0.205957 | − | 0.356728i | −0.744480 | − | 0.667645i | \(-0.767303\pi\) |
0.950437 | + | 0.310916i | \(0.100636\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.77719 | + | 10.0789i | 0.0943234 | + | 0.534935i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −5.19846 | + | 4.36203i | −0.275132 | + | 0.230863i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 2.69459 | − | 0.980752i | 0.142215 | − | 0.0517621i | −0.269932 | − | 0.962879i | \(-0.587001\pi\) |
0.412147 | + | 0.911117i | \(0.364779\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −3.57444 | − | 18.6607i | −0.188129 | − | 0.982144i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −6.11081 | + | 2.22415i | −0.320735 | + | 0.116738i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 45.6548 | − | 38.3089i | 2.38968 | − | 2.00518i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.98798 | + | 22.6169i | 0.208171 | + | 1.18060i | 0.892372 | + | 0.451301i | \(0.149040\pi\) |
−0.684201 | + | 0.729294i | \(0.739849\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −0.798133 | + | 1.38241i | −0.0415492 | + | 0.0719653i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 10.2442 | + | 3.72859i | 0.531854 | + | 0.193579i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.5954 | + | 20.0838i | 0.600387 | + | 1.03990i | 0.992762 | + | 0.120095i | \(0.0383199\pi\) |
−0.392376 | + | 0.919805i | \(0.628347\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 15.0064 | + | 12.5919i | 0.774927 | + | 0.650241i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −0.721467 | + | 4.09164i | −0.0371574 | + | 0.210730i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 33.5185 | 1.72173 | 0.860864 | − | 0.508835i | \(-0.169924\pi\) | ||||
0.860864 | + | 0.508835i | \(0.169924\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −1.63041 | −0.0835287 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −1.16860 | + | 6.62744i | −0.0597125 | + | 0.338646i | −0.999998 | − | 0.00173918i | \(-0.999446\pi\) |
0.940286 | + | 0.340385i | \(0.110558\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 7.73055 | + | 6.48670i | 0.393985 | + | 0.330593i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −3.31908 | − | 5.74881i | −0.168718 | − | 0.292229i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 17.8751 | + | 6.50601i | 0.906304 | + | 0.329868i | 0.752776 | − | 0.658277i | \(-0.228714\pi\) |
0.153528 | + | 0.988144i | \(0.450937\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 24.7383 | − | 42.8480i | 1.25107 | − | 2.16692i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1.03549 | + | 5.87257i | 0.0522337 | + | 0.296232i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −13.8498 | + | 11.6214i | −0.696860 | + | 0.584735i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 25.2913 | − | 9.20529i | 1.26934 | − | 0.462000i | 0.382444 | − | 0.923979i | \(-0.375082\pi\) |
0.886891 | + | 0.461978i | \(0.152860\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 1.79174 | − | 5.03785i | 0.0896990 | − | 0.252208i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.35756 | − | 1.94999i | 0.267544 | − | 0.0973780i | −0.204765 | − | 0.978811i | \(-0.565643\pi\) |
0.472309 | + | 0.881433i | \(0.343421\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.905544 | + | 0.759842i | −0.0451084 | + | 0.0378504i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.673648 | − | 3.82045i | −0.0334738 | − | 0.189840i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.79679 | + | 3.11213i | −0.0890635 | + | 0.154263i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 0.758770 | + | 0.276170i | 0.0375188 | + | 0.0136557i | 0.360711 | − | 0.932677i | \(-0.382534\pi\) |
−0.323193 | + | 0.946333i | \(0.604756\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −0.00980018 | − | 0.0169744i | −0.000483407 | − | 0.000837286i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −10.7306 | − | 9.00400i | −0.528016 | − | 0.443058i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.40760 | − | 47.6819i | 0.412713 | − | 2.34061i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 4.49525 | 0.220133 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 19.1215 | 0.934149 | 0.467074 | − | 0.884218i | \(-0.345308\pi\) | ||||
0.467074 | + | 0.884218i | \(0.345308\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.86618 | + | 27.5975i | −0.237163 | + | 1.34502i | 0.600847 | + | 0.799364i | \(0.294830\pi\) |
−0.838010 | + | 0.545655i | \(0.816281\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −1.66250 | − | 1.39501i | −0.0808337 | − | 0.0678275i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 27.7977 | + | 48.1471i | 1.34839 | + | 2.33548i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.0482857 | + | 0.0175745i | 0.00233671 | + | 0.000850492i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0.519762 | − | 0.900255i | 0.0250944 | − | 0.0434647i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 1.56923 | + | 8.89955i | 0.0755872 | + | 0.428676i | 0.998994 | + | 0.0448525i | \(0.0142818\pi\) |
−0.923406 | + | 0.383824i | \(0.874607\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.12061 | − | 0.940307i | 0.0538533 | − | 0.0451883i | −0.615464 | − | 0.788165i | \(-0.711031\pi\) |
0.669317 | + | 0.742977i | \(0.266587\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 30.8974 | − | 11.2457i | 1.48142 | − | 0.539192i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 0.286989 | + | 38.9830i | 0.0137285 | + | 1.86481i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −5.08987 | + | 1.85256i | −0.242926 | + | 0.0884179i | −0.460614 | − | 0.887601i | \(-0.652371\pi\) |
0.217688 | + | 0.976018i | \(0.430149\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −4.20961 | + | 3.53228i | −0.200457 | + | 0.168204i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 4.94310 | + | 28.0337i | 0.234854 | + | 1.33192i | 0.842922 | + | 0.538036i | \(0.180834\pi\) |
−0.608068 | + | 0.793885i | \(0.708055\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 16.4021 | − | 28.4093i | 0.777536 | − | 1.34673i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 11.3045 | + | 4.11451i | 0.534686 | + | 0.194610i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 11.3824 | + | 19.7149i | 0.537168 | + | 0.930402i | 0.999055 | + | 0.0434631i | \(0.0138391\pi\) |
−0.461887 | + | 0.886939i | \(0.652828\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.59311 | + | 2.17588i | 0.122105 | + | 0.102458i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0.0102670 | − | 0.0582271i | 0.000482386 | − | 0.00273575i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 2.33275 | 0.109361 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.13011 | −0.0528643 | −0.0264322 | − | 0.999651i | \(-0.508415\pi\) | ||||
−0.0264322 | + | 0.999651i | \(0.508415\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0.960637 | − | 5.44804i | 0.0448387 | − | 0.254293i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −9.94562 | − | 8.34537i | −0.463214 | − | 0.388683i | 0.381098 | − | 0.924535i | \(-0.375546\pi\) |
−0.844312 | + | 0.535852i | \(0.819990\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.3123 | − | 26.5216i | −0.711622 | − | 1.23256i | −0.964248 | − | 0.265001i | \(-0.914628\pi\) |
0.252627 | − | 0.967564i | \(-0.418706\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 8.79086 | + | 3.19961i | 0.407666 | + | 0.148378i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 5.52869 | − | 9.57596i | 0.255837 | − | 0.443123i | −0.709285 | − | 0.704921i | \(-0.750982\pi\) |
0.965123 | + | 0.261799i | \(0.0843156\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.953363 | + | 5.40679i | 0.0440222 | + | 0.249662i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −9.92649 | + | 8.32931i | −0.457388 | + | 0.383794i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −13.2280 | + | 4.81461i | −0.608225 | + | 0.221376i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −38.0967 | − | 21.6228i | −1.74800 | − | 0.992122i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −8.35117 | + | 3.03958i | −0.382374 | + | 0.139173i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 13.5116 | − | 11.3376i | 0.617361 | − | 0.518028i | −0.279612 | − | 0.960113i | \(-0.590206\pi\) |
0.896973 | + | 0.442086i | \(0.145761\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0.144248 | + | 0.818069i | 0.00657713 | + | 0.0373007i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −5.48545 | + | 9.50108i | −0.249597 | + | 0.432314i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −52.4115 | − | 19.0762i | −2.37989 | − | 0.866207i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.64677 | − | 13.2446i | −0.346508 | − | 0.600170i | 0.639118 | − | 0.769109i | \(-0.279299\pi\) |
−0.985627 | + | 0.168938i | \(0.945966\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 11.5458 | + | 9.68804i | 0.522117 | + | 0.438108i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 0.308811 | − | 1.75135i | 0.0139364 | − | 0.0790375i | −0.977046 | − | 0.213027i | \(-0.931668\pi\) |
0.990983 | + | 0.133990i | \(0.0427789\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 46.8881 | 2.11173 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −8.22668 | −0.369762 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0.561956 | − | 3.18701i | 0.0252072 | − | 0.142957i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 0.0825961 | + | 0.0693063i | 0.00369751 | + | 0.00310258i | 0.644634 | − | 0.764491i | \(-0.277010\pi\) |
−0.640937 | + | 0.767594i | \(0.721454\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.970437 | + | 1.68085i | 0.0433559 | + | 0.0750947i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −22.2615 | − | 8.10251i | −0.992589 | − | 0.361273i | −0.205867 | − | 0.978580i | \(-0.566001\pi\) |
−0.786722 | + | 0.617307i | \(0.788224\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.0458 | − | 19.1318i | 0.491530 | − | 0.851355i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 2.21570 | + | 12.5659i | 0.0984027 | + | 0.558069i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −2.73783 | + | 2.29731i | −0.121352 | + | 0.101826i | −0.701444 | − | 0.712724i | \(-0.747461\pi\) |
0.580092 | + | 0.814551i | \(0.303017\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.7087 | + | 6.44545i | −0.783388 | + | 0.285130i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 1.52094 | + | 4.08494i | 0.0671513 | + | 0.180354i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.14156 | − | 0.415494i | 0.0503031 | − | 0.0183088i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.52553 | + | 2.95827i | −0.155053 | + | 0.130105i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −2.79086 | − | 15.8278i | −0.122505 | − | 0.694761i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −17.0608 | + | 29.5501i | −0.747446 | + | 1.29461i | 0.201597 | + | 0.979469i | \(0.435387\pi\) |
−0.949043 | + | 0.315146i | \(0.897946\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 16.0376 | + | 5.83721i | 0.701276 | + | 0.255243i | 0.667955 | − | 0.744201i | \(-0.267170\pi\) |
0.0333202 | + | 0.999445i | \(0.489392\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −6.16385 | − | 10.6761i | −0.269012 | − | 0.465943i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 10.2194 | + | 8.57510i | 0.445164 | + | 0.373537i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 9.89574 | − | 56.1216i | 0.430250 | − | 2.44007i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 11.4192 | 0.495552 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.782490 | 0.0338934 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −11.3362 | + | 64.2905i | −0.490105 | + | 2.77952i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 11.3177 | + | 9.49671i | 0.488396 | + | 0.409813i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 5.82666 | + | 10.0921i | 0.250972 | + | 0.434696i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −24.7841 | − | 9.02066i | −1.06555 | − | 0.387828i | −0.251039 | − | 0.967977i | \(-0.580772\pi\) |
−0.814511 | + | 0.580149i | \(0.802994\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −9.11334 | + | 15.7848i | −0.391091 | + | 0.677389i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 7.01367 | + | 39.7765i | 0.300433 | + | 1.70384i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 26.7317 | − | 22.4306i | 1.14297 | − | 0.959063i | 0.143435 | − | 0.989660i | \(-0.454185\pi\) |
0.999532 | + | 0.0305971i | \(0.00974088\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.0393628 | + | 0.0143269i | −0.00167997 | + | 0.000611457i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −31.8580 | + | 18.7073i | −1.35720 | + | 0.796957i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 5.37211 | − | 1.95529i | 0.228445 | − | 0.0831473i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.03596 | − | 4.22567i | 0.213765 | − | 0.179370i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.65957 | − | 32.0970i | −0.239804 | − | 1.35999i | −0.832258 | − | 0.554389i | \(-0.812952\pi\) |
0.592454 | − | 0.805604i | \(-0.298159\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.62701 | + | 2.81807i | −0.0688152 | + | 0.119192i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −11.0239 | − | 4.01239i | −0.465431 | − | 0.169403i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.39780 | − | 4.15312i | −0.101055 | − | 0.175033i | 0.811064 | − | 0.584957i | \(-0.198889\pi\) |
−0.912120 | + | 0.409924i | \(0.865555\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 51.6566 | + | 43.3451i | 2.17321 | + | 1.82354i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −0.213011 | + | 1.20805i | −0.00894562 | + | 0.0507331i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −32.7006 | −1.37088 | −0.685440 | − | 0.728129i | \(-0.740390\pi\) | ||||
−0.685440 | + | 0.728129i | \(0.740390\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.9531 | 0.458371 | 0.229186 | − | 0.973383i | \(-0.426394\pi\) | ||||
0.229186 | + | 0.973383i | \(0.426394\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0.224155 | − | 1.27125i | 0.00936423 | − | 0.0531072i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 68.8517 | + | 57.7734i | 2.87131 | + | 2.40932i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 9.15136 | + | 15.8506i | 0.380976 | + | 0.659870i | 0.991202 | − | 0.132357i | \(-0.0422547\pi\) |
−0.610226 | + | 0.792227i | \(0.708921\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −8.57057 | − | 3.11943i | −0.356181 | − | 0.129639i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −7.65493 | + | 13.2587i | −0.317580 | + | 0.550064i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 3.27260 | + | 18.5599i | 0.135537 | + | 0.768671i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −1.45677 | + | 1.22237i | −0.0602299 | + | 0.0505389i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −5.34137 | + | 1.94410i | −0.220462 | + | 0.0802415i | −0.449890 | − | 0.893084i | \(-0.648537\pi\) |
0.229428 | + | 0.973326i | \(0.426314\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10.3648 | − | 1.74903i | −0.427076 | − | 0.0720673i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 17.5005 | − | 6.36965i | 0.719873 | − | 0.262012i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −8.05097 | + | 6.75557i | −0.330614 | + | 0.277418i | −0.792950 | − | 0.609287i | \(-0.791456\pi\) |
0.462336 | + | 0.886705i | \(0.347011\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −4.57145 | − | 25.9260i | −0.187411 | − | 1.06286i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −4.21554 | + | 7.30152i | −0.172530 | + | 0.298832i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −42.0146 | − | 15.2921i | −1.71667 | − | 0.624817i | −0.719128 | − | 0.694878i | \(-0.755458\pi\) |
−0.997543 | + | 0.0700613i | \(0.977681\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −16.4363 | − | 28.4685i | −0.670450 | − | 1.16125i | −0.977777 | − | 0.209650i | \(-0.932768\pi\) |
0.307326 | − | 0.951604i | \(-0.400566\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −3.42855 | − | 2.87689i | −0.139621 | − | 0.117156i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 4.38073 | − | 24.8444i | 0.178102 | − | 1.01007i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −29.9486 | −1.21558 | −0.607788 | − | 0.794099i | \(-0.707943\pi\) | ||||
−0.607788 | + | 0.794099i | \(0.707943\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −10.3969 | −0.421305 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −0.184736 | + | 1.04769i | −0.00747363 | + | 0.0423850i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.47384 | + | 3.75400i | 0.180697 | + | 0.151623i | 0.728650 | − | 0.684887i | \(-0.240148\pi\) |
−0.547953 | + | 0.836509i | \(0.684593\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −3.09627 | − | 5.36289i | −0.124854 | − | 0.216253i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.8135 | + | 4.29975i | 0.475592 | + | 0.173101i | 0.568684 | − | 0.822556i | \(-0.307453\pi\) |
−0.0930920 | + | 0.995658i | \(0.529675\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.14290 | − | 7.17572i | 0.166517 | − | 0.288417i | −0.770676 | − | 0.637228i | \(-0.780081\pi\) |
0.937193 | + | 0.348811i | \(0.113414\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.55303 | − | 8.80769i | −0.0623211 | − | 0.353440i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −7.94609 | + | 6.66756i | −0.318353 | + | 0.267130i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −24.1942 | + | 8.80596i | −0.967767 | + | 0.352238i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 9.09105 | − | 1.67210i | 0.363062 | − | 0.0667771i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 8.80928 | − | 3.20631i | 0.351249 | − | 0.127844i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.23055 | + | 4.38895i | −0.208225 | + | 0.174722i | −0.740936 | − | 0.671576i | \(-0.765618\pi\) |
0.532711 | + | 0.846297i | \(0.321173\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.254900 | − | 1.44561i | −0.0101314 | − | 0.0574578i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 3.16250 | − | 5.47762i | 0.125500 | − | 0.217373i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.53132 | + | 0.921324i | 0.100294 | + | 0.0365042i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.31908 | + | 2.28471i | 0.0521819 | + | 0.0903817i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 29.6544 | + | 24.8830i | 1.17128 | + | 0.982818i | 0.999997 | − | 0.00240481i | \(-0.000765477\pi\) |
0.171279 | + | 0.985222i | \(0.445210\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.18820 | − | 12.4099i | 0.0862940 | − | 0.489398i | −0.910776 | − | 0.412901i | \(-0.864515\pi\) |
0.997070 | − | 0.0764965i | \(-0.0243734\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 25.7520 | 1.01398 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −8.41241 | −0.330726 | −0.165363 | − | 0.986233i | \(-0.552880\pi\) | ||||
−0.165363 | + | 0.986233i | \(0.552880\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.20502 | − | 23.8479i | 0.165062 | − | 0.936111i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.26604 | − | 1.90144i | −0.0888133 | − | 0.0745232i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −13.1900 | − | 22.8458i | −0.516165 | − | 0.894024i | −0.999824 | − | 0.0187673i | \(-0.994026\pi\) |
0.483659 | − | 0.875257i | \(-0.339307\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −21.7383 | − | 7.91209i | −0.849385 | − | 0.309151i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 7.68139 | − | 13.3046i | 0.299680 | − | 0.519060i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −5.55794 | − | 31.5207i | −0.216507 | − | 1.22787i | −0.878273 | − | 0.478160i | \(-0.841304\pi\) |
0.661766 | − | 0.749711i | \(-0.269807\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −31.0462 | + | 26.0509i | −1.20756 | + | 1.01326i | −0.208177 | + | 0.978091i | \(0.566753\pi\) |
−0.999381 | + | 0.0351705i | \(0.988803\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −2.54829 | + | 0.927500i | −0.0989672 | + | 0.0360211i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 13.4500 | + | 15.7915i | 0.521567 | + | 0.612367i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 71.2311 | − | 25.9260i | 2.75808 | − | 1.00386i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 20.1229 | − | 16.8851i | 0.777996 | − | 0.652816i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 0.0154253 | + | 0.0874810i | 0.000595486 | + | 0.00337717i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.28059 | − | 3.95010i | 0.0879104 | − | 0.152265i | −0.818717 | − | 0.574197i | \(-0.805314\pi\) |
0.906628 | + | 0.421932i | \(0.138648\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 9.44356 | + | 3.43718i | 0.363483 | + | 0.132297i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −16.7208 | − | 28.9612i | −0.642631 | − | 1.11307i | −0.984843 | − | 0.173446i | \(-0.944510\pi\) |
0.342213 | − | 0.939623i | \(-0.388824\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.5103 | + | 11.3365i | 0.518476 | + | 0.435053i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 3.18954 | − | 18.0888i | 0.122223 | − | 0.693164i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 26.4825 | 1.01332 | 0.506662 | − | 0.862145i | \(-0.330879\pi\) | ||||
0.506662 | + | 0.862145i | \(0.330879\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0760373 | 0.00290524 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −0.672304 | + | 3.81283i | −0.0256500 | + | 0.145468i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.33725 | + | 2.80028i | 0.127139 | + | 0.106682i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.7003 | + | 28.9257i | 0.635308 | + | 1.10039i | 0.986450 | + | 0.164064i | \(0.0524603\pi\) |
−0.351141 | + | 0.936322i | \(0.614206\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 2.44444 | + | 0.889704i | 0.0928566 | + | 0.0337970i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −8.71941 | + | 15.1025i | −0.330746 | + | 0.572869i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.53343 | − | 8.69653i | −0.0580829 | − | 0.329405i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −12.5988 | + | 10.5716i | −0.476530 | + | 0.399856i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −17.7408 | + | 6.45713i | −0.670061 | + | 0.243882i | −0.654574 | − | 0.755998i | \(-0.727152\pi\) |
−0.0154871 | + | 0.999880i | \(0.504930\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.70620 | + | 5.69323i | −0.177498 | + | 0.214724i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 7.91147 | − | 2.87954i | 0.297963 | − | 0.108450i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −5.35117 | + | 4.49016i | −0.201251 | + | 0.168870i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.0369988 | − | 0.209830i | −0.00138952 | − | 0.00788034i | 0.984105 | − | 0.177587i | \(-0.0568291\pi\) |
−0.985495 | + | 0.169707i | \(0.945718\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −2.33022 | + | 4.03606i | −0.0873902 | + | 0.151364i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 20.2665 | + | 7.37641i | 0.758987 | + | 0.276249i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.01636 | + | 3.49244i | 0.0754075 | + | 0.130610i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 2.53209 | + | 2.12467i | 0.0945626 | + | 0.0793474i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 2.25150 | − | 12.7689i | 0.0839667 | − | 0.476199i | −0.913608 | − | 0.406596i | \(-0.866716\pi\) |
0.997575 | − | 0.0696027i | \(-0.0221732\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.384133 | −0.0143059 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −3.01548 | −0.112147 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −14.7909 | + | 83.8831i | −0.549319 | + | 3.11534i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −19.7062 | − | 16.5355i | −0.730863 | − | 0.613267i | 0.199504 | − | 0.979897i | \(-0.436067\pi\) |
−0.930367 | + | 0.366630i | \(0.880511\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −0.500000 | − | 0.866025i | −0.0185185 | − | 0.0320750i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 34.5082 | + | 12.5600i | 1.27633 | + | 0.464547i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −4.25995 | + | 7.37845i | −0.157345 | + | 0.272529i | −0.933910 | − | 0.357507i | \(-0.883627\pi\) |
0.776565 | + | 0.630037i | \(0.216960\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −3.70187 | − | 20.9943i | −0.136545 | − | 0.774387i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −7.27063 | + | 6.10078i | −0.267817 | + | 0.224725i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12.5030 | + | 4.55072i | −0.459930 | + | 0.167401i | −0.561585 | − | 0.827419i | \(-0.689808\pi\) |
0.101655 | + | 0.994820i | \(0.467586\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 1.36138 | − | 1.64690i | 0.0500115 | − | 0.0605003i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −25.3307 | + | 9.21962i | −0.929293 | + | 0.338235i | −0.761929 | − | 0.647660i | \(-0.775748\pi\) |
−0.167364 | + | 0.985895i | \(0.553525\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.7506 | + | 29.9983i | −1.30980 | + | 1.09905i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −2.16725 | − | 12.2911i | −0.0792956 | − | 0.449708i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 10.3213 | − | 17.8770i | 0.377132 | − | 0.653212i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.3277 | + | 6.30677i | 0.632297 | + | 0.230137i | 0.638231 | − | 0.769845i | \(-0.279667\pi\) |
−0.00593399 | + | 0.999982i | \(0.501889\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.76739 | + | 3.06121i | 0.0644072 | + | 0.111557i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0.175708 | + | 0.147436i | 0.00639465 | + | 0.00536575i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 5.19490 | − | 29.4617i | 0.188812 | − | 1.07080i | −0.732148 | − | 0.681146i | \(-0.761482\pi\) |
0.920959 | − | 0.389659i | \(-0.127407\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −18.9659 | −0.688417 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −28.6691 | −1.03925 | −0.519627 | − | 0.854393i | \(-0.673929\pi\) | ||||
−0.519627 | + | 0.854393i | \(0.673929\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.21776 | − | 12.5775i | 0.0802883 | − | 0.455337i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 16.4402 | + | 13.7949i | 0.594395 | + | 0.498757i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −2.79885 | − | 4.84775i | −0.101061 | − | 0.175042i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.17277 | + | 3.33862i | 0.330779 | + | 0.120394i | 0.502070 | − | 0.864827i | \(-0.332572\pi\) |
−0.171292 | + | 0.985220i | \(0.554794\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.35117 | + | 4.07234i | −0.0846752 | + | 0.146662i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −0.676641 | − | 3.83742i | −0.0243371 | − | 0.138023i | 0.970218 | − | 0.242233i | \(-0.0778797\pi\) |
−0.994555 | + | 0.104210i | \(0.966769\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −18.5646 | + | 15.5776i | −0.666862 | + | 0.559563i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.95336 | + | 0.710966i | −0.0700765 | + | 0.0255058i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 4.51161 | + | 5.29704i | 0.161645 | + | 0.189786i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5.25712 | − | 1.91344i | 0.188115 | − | 0.0684681i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 6.49273 | − | 5.44804i | 0.232031 | − | 0.194697i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −8.72921 | − | 49.5058i | −0.311559 | − | 1.76694i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.47044 | + | 2.54687i | −0.0524154 | + | 0.0907862i | −0.891043 | − | 0.453920i | \(-0.850025\pi\) |
0.838627 | + | 0.544706i | \(0.183359\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −19.7922 | − | 7.20377i | −0.704621 | − | 0.256461i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −10.6613 | − | 18.4660i | −0.379073 | − | 0.656574i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0.0157300 | + | 0.0131990i | 0.000558587 | + | 0.000468711i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 5.98680 | − | 33.9528i | 0.212330 | − | 1.20418i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 8.26950 | 0.292921 | 0.146460 | − | 0.989217i | \(-0.453212\pi\) | ||||
0.146460 | + | 0.989217i | \(0.453212\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 12.0060 | 0.424741 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.46838 | − | 8.32759i | 0.0518826 | − | 0.294241i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −24.9566 | − | 20.9411i | −0.880699 | − | 0.738995i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −21.2802 | − | 36.8584i | −0.750028 | − | 1.29909i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 9.47090 | + | 3.44713i | 0.333392 | + | 0.121345i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 1.04529 | − | 1.81050i | 0.0367505 | − | 0.0636538i | −0.847065 | − | 0.531489i | \(-0.821633\pi\) |
0.883816 | + | 0.467835i | \(0.154966\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.150177 | − | 0.851698i | −0.00527344 | − | 0.0299072i | 0.982057 | − | 0.188582i | \(-0.0603890\pi\) |
−0.987331 | + | 0.158675i | \(0.949278\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.47952 | + | 6.27606i | −0.262318 | + | 0.220111i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −54.9436 | + | 19.9978i | −1.92459 | + | 0.700494i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −28.4577 | + | 5.23416i | −0.995609 | + | 0.183120i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.565055 | − | 0.205663i | 0.0197446 | − | 0.00718646i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 17.4394 | − | 14.6334i | 0.608641 | − | 0.510710i | −0.285569 | − | 0.958358i | \(-0.592183\pi\) |
0.894210 | + | 0.447648i | \(0.147738\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 5.75056 | + | 32.6131i | 0.200452 | + | 1.13682i | 0.904438 | + | 0.426606i | \(0.140291\pi\) |
−0.703986 | + | 0.710214i | \(0.748598\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 10.6557 | − | 18.4562i | 0.370984 | − | 0.642563i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −24.9158 | − | 9.06861i | −0.866408 | − | 0.315347i | −0.129696 | − | 0.991554i | \(-0.541400\pi\) |
−0.736712 | + | 0.676207i | \(0.763622\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 1.57873 | + | 2.73443i | 0.0548314 | + | 0.0949708i | 0.892138 | − | 0.451762i | \(-0.149205\pi\) |
−0.837307 | + | 0.546733i | \(0.815871\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −12.9133 | − | 10.8355i | −0.447957 | − | 0.375880i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 5.27894 | − | 29.9384i | 0.182905 | − | 1.03730i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −7.52940 | −0.260566 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.41147 | 0.0833527 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 7.31386 | − | 41.4790i | 0.252503 | − | 1.43201i | −0.549900 | − | 0.835230i | \(-0.685334\pi\) |
0.802403 | − | 0.596783i | \(-0.203555\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 32.8148 | + | 27.5349i | 1.13154 | + | 0.949479i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −5.86231 | − | 10.1538i | −0.201909 | − | 0.349716i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −46.5146 | − | 16.9299i | −1.60015 | − | 0.582407i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −3.98855 | + | 6.90837i | −0.137048 | + | 0.237375i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −3.74123 | − | 21.2176i | −0.128399 | − | 0.728185i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 11.6099 | − | 9.74189i | 0.397984 | − | 0.333948i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −53.1147 | + | 19.3322i | −1.81861 | + | 0.661921i | −0.823035 | + | 0.567990i | \(0.807721\pi\) |
−0.995579 | + | 0.0939314i | \(0.970057\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −16.6741 | − | 2.81369i | −0.570243 | − | 0.0962262i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −12.3960 | + | 4.51179i | −0.423441 | + | 0.154120i | −0.544946 | − | 0.838471i | \(-0.683450\pi\) |
0.121505 | + | 0.992591i | \(0.461228\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 16.6623 | − | 13.9813i | 0.568509 | − | 0.477036i | −0.312642 | − | 0.949871i | \(-0.601214\pi\) |
0.881151 | + | 0.472836i | \(0.156770\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0.340022 | + | 1.92836i | 0.0115879 | + | 0.0657184i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −23.4550 | + | 40.6253i | −0.798418 | + | 1.38290i | 0.122228 | + | 0.992502i | \(0.460996\pi\) |
−0.920646 | + | 0.390398i | \(0.872337\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 58.5890 | + | 21.3247i | 1.99209 | + | 0.725061i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 6.80200 | + | 11.7814i | 0.231008 | + | 0.400118i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 7.57082 | + | 6.35267i | 0.256823 | + | 0.215500i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.380978 | + | 2.16063i | −0.0129089 | + | 0.0732102i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −14.3773 | −0.486599 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 24.0300 | 0.812363 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.464451 | + | 2.63403i | −0.0156834 | + | 0.0889450i | −0.991645 | − | 0.128999i | \(-0.958824\pi\) |
0.975961 | + | 0.217944i | \(0.0699349\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 8.51889 | + | 7.14819i | 0.287335 | + | 0.241103i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.5548 | + | 23.4777i | 0.456674 | + | 0.790983i | 0.998783 | − | 0.0493254i | \(-0.0157071\pi\) |
−0.542108 | + | 0.840309i | \(0.682374\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −40.8055 | − | 14.8520i | −1.37321 | − | 0.499809i | −0.453099 | − | 0.891460i | \(-0.649682\pi\) |
−0.920114 | + | 0.391651i | \(0.871904\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −22.1498 | + | 38.3645i | −0.744556 | + | 1.28961i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 3.72251 | + | 21.1114i | 0.124990 | + | 0.708851i | 0.981314 | + | 0.192413i | \(0.0616313\pi\) |
−0.856325 | + | 0.516438i | \(0.827258\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.53209 | + | 1.28558i | −0.0513846 | + | 0.0431168i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.99273 | + | 0.725293i | −0.0667588 | + | 0.0242982i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −8.15745 | + | 4.79012i | −0.272979 | + | 0.160295i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −53.8585 | + | 19.6029i | −1.80029 | + | 0.655252i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.35844 | + | 2.81807i | −0.112135 | + | 0.0940925i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 3.54916 | + | 20.1283i | 0.118371 | + | 0.671317i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 24.5822 | − | 42.5776i | 0.818951 | − | 1.41847i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −7.65183 | − | 2.78504i | −0.254637 | − | 0.0926802i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −35.3542 | − | 61.2352i | −1.17521 | − | 2.03553i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 12.5471 | + | 10.5283i | 0.416620 | + | 0.349585i | 0.826875 | − | 0.562385i | \(-0.190116\pi\) |
−0.410256 | + | 0.911971i | \(0.634561\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0.988856 | − | 5.60808i | 0.0327983 | − | 0.186008i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −28.4502 | −0.942596 | −0.471298 | − | 0.881974i | \(-0.656214\pi\) | ||||
−0.471298 | + | 0.881974i | \(0.656214\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −26.4668 | −0.875922 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0.0282185 | − | 0.160035i | 0.000932875 | − | 0.00529059i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 5.60354 | + | 4.70193i | 0.185045 | + | 0.155271i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −25.6268 | − | 44.3869i | −0.845349 | − | 1.46419i | −0.885318 | − | 0.464986i | \(-0.846059\pi\) |
0.0399689 | − | 0.999201i | \(-0.487274\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −23.5300 | − | 8.56423i | −0.775341 | − | 0.282201i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0.646612 | − | 1.11996i | 0.0212835 | − | 0.0368641i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.95723 | + | 16.7713i | 0.0972332 | + | 0.551437i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.239885 | − | 0.201288i | 0.00787887 | − | 0.00661116i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −48.4445 | + | 17.6324i | −1.58941 | + | 0.578499i | −0.977223 | − | 0.212213i | \(-0.931933\pi\) |
−0.612189 | + | 0.790712i | \(0.709711\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.35797 | + | 22.4478i | 0.273922 | + | 0.735696i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | −0.0530334 | + | 0.0193026i | −0.00173624 | + | 0.000631938i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 34.8632 | − | 29.2537i | 1.14015 | − | 0.956699i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −2.51161 | − | 14.2441i | −0.0820508 | − | 0.465333i | −0.997954 | − | 0.0639341i | \(-0.979635\pi\) |
0.915903 | − | 0.401399i | \(-0.131476\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 6.88191 | − | 11.9198i | 0.224583 | − | 0.388989i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 12.3855 | + | 4.50795i | 0.403755 | + | 0.146955i | 0.535912 | − | 0.844274i | \(-0.319968\pi\) |
−0.132157 | + | 0.991229i | \(0.542190\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −7.13816 | − | 12.3636i | −0.232450 | − | 0.402616i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −3.64543 | − | 3.05888i | −0.118586 | − | 0.0995053i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 7.43676 | − | 42.1759i | 0.241662 | − | 1.37053i | −0.586456 | − | 0.809981i | \(-0.699477\pi\) |
0.828119 | − | 0.560553i | \(-0.189411\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −7.53083 | −0.244461 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −10.9040 | −0.353588 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −5.59451 | + | 31.7281i | −0.181224 | + | 1.02777i | 0.749488 | + | 0.662018i | \(0.230300\pi\) |
−0.930712 | + | 0.365754i | \(0.880811\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.83615 | + | 3.21891i | 0.124135 | + | 0.104162i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | −8.98680 | − | 15.5656i | −0.290502 | − | 0.503164i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −0.0225934 | − | 0.00822333i | −0.000729579 | − | 0.000265545i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 12.5924 | − | 21.8107i | 0.406206 | − | 0.703570i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 2.92215 | + | 16.5723i | 0.0941650 | + | 0.534036i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 27.1045 | − | 22.7434i | 0.872524 | − | 0.732134i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.4650 | − | 11.8163i | 1.04400 | − | 0.379986i | 0.237607 | − | 0.971361i | \(-0.423637\pi\) |
0.806396 | + | 0.591375i | \(0.201415\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −20.9714 | − | 11.9028i | −0.673697 | − | 0.382375i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −1.11556 | + | 0.406031i | −0.0358001 | + | 0.0130302i | −0.359858 | − | 0.933007i | \(-0.617175\pi\) |
0.324058 | + | 0.946037i | \(0.394953\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 4.22416 | − | 3.54449i | 0.135420 | − | 0.113631i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −0.855448 | − | 4.85148i | −0.0273963 | − | 0.155372i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −10.4413 | + | 18.0849i | −0.334048 | + | 0.578588i | −0.983302 | − | 0.181984i | \(-0.941748\pi\) |
0.649253 | + | 0.760572i | \(0.275081\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.8506 | − | 6.13311i | −0.538547 | − | 0.196015i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 5.20574 | + | 9.01660i | 0.166206 | + | 0.287878i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 26.8855 | + | 22.5596i | 0.857515 | + | 0.719541i | 0.961431 | − | 0.275045i | \(-0.0886928\pi\) |
−0.103916 | + | 0.994586i | \(0.533137\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −12.5458 | + | 71.1505i | −0.399741 | + | 2.26704i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −2.66220 | −0.0847387 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 59.3688 | 1.88782 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.63651 | − | 48.9801i | 0.274348 | − | 1.55590i | −0.466679 | − | 0.884427i | \(-0.654550\pi\) |
0.741026 | − | 0.671476i | \(-0.234339\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 6.58125 | + | 5.52233i | 0.208850 | + | 0.175246i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −16.3537 | − | 28.3254i | −0.518447 | − | 0.897976i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −39.3105 | − | 14.3079i | −1.24498 | − | 0.453134i | −0.366275 | − | 0.930507i | \(-0.619367\pi\) |
−0.878701 | + | 0.477372i | \(0.841589\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0.847296 | − | 1.46756i | 0.0268073 | − | 0.0464316i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 912.2.bo.c.385.1 | 6 | ||
4.3 | odd | 2 | 114.2.i.b.43.1 | ✓ | 6 | ||
12.11 | even | 2 | 342.2.u.d.271.1 | 6 | |||
19.4 | even | 9 | inner | 912.2.bo.c.289.1 | 6 | ||
76.23 | odd | 18 | 114.2.i.b.61.1 | yes | 6 | ||
76.55 | odd | 18 | 2166.2.a.t.1.1 | 3 | |||
76.59 | even | 18 | 2166.2.a.n.1.1 | 3 | |||
228.23 | even | 18 | 342.2.u.d.289.1 | 6 | |||
228.59 | odd | 18 | 6498.2.a.bt.1.3 | 3 | |||
228.131 | even | 18 | 6498.2.a.bo.1.3 | 3 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.b.43.1 | ✓ | 6 | 4.3 | odd | 2 | ||
114.2.i.b.61.1 | yes | 6 | 76.23 | odd | 18 | ||
342.2.u.d.271.1 | 6 | 12.11 | even | 2 | |||
342.2.u.d.289.1 | 6 | 228.23 | even | 18 | |||
912.2.bo.c.289.1 | 6 | 19.4 | even | 9 | inner | ||
912.2.bo.c.385.1 | 6 | 1.1 | even | 1 | trivial | ||
2166.2.a.n.1.1 | 3 | 76.59 | even | 18 | |||
2166.2.a.t.1.1 | 3 | 76.55 | odd | 18 | |||
6498.2.a.bo.1.3 | 3 | 228.131 | even | 18 | |||
6498.2.a.bt.1.3 | 3 | 228.59 | odd | 18 |