Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [784,2,Mod(111,784)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(784, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 0, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("784.111");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 784 = 2^{4} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 784.bb (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26027151847\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 111.14 | ||
Character | \(\chi\) | \(=\) | 784.111 |
Dual form | 784.2.bb.b.671.14 |
$q$-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 \(\left(\mathbb{Z}/784\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(687\) | \(689\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{14}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | 0.912783 | + | 1.14459i | 0.526996 | + | 0.660832i | 0.972078 | − | 0.234658i | \(-0.0753970\pi\) |
−0.445082 | + | 0.895490i | \(0.646826\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.583523 | + | 0.465344i | −0.260959 | + | 0.208108i | −0.745225 | − | 0.666813i | \(-0.767658\pi\) |
0.484266 | + | 0.874921i | \(0.339087\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.34056 | + | 1.23360i | 0.884649 | + | 0.466257i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.190641 | − | 0.835251i | 0.0635469 | − | 0.278417i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −2.76768 | + | 0.631705i | −0.834487 | + | 0.190466i | −0.618356 | − | 0.785898i | \(-0.712201\pi\) |
−0.216131 | + | 0.976364i | \(0.569344\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 4.35414 | − | 0.993805i | 1.20762 | − | 0.275632i | 0.429105 | − | 0.903255i | \(-0.358829\pi\) |
0.778518 | + | 0.627623i | \(0.215972\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.06526 | − | 0.243138i | −0.275049 | − | 0.0627781i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.20256 | + | 2.49715i | −0.291665 | + | 0.605648i | −0.994386 | − | 0.105818i | \(-0.966254\pi\) |
0.702721 | + | 0.711466i | \(0.251968\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 7.65489 | 1.75615 | 0.878076 | − | 0.478522i | \(-0.158827\pi\) | ||||
0.878076 | + | 0.478522i | \(0.158827\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.724455 | + | 3.80500i | 0.158089 | + | 0.830320i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.83869 | + | 5.89461i | 0.591909 | + | 1.22911i | 0.954791 | + | 0.297276i | \(0.0960782\pi\) |
−0.362883 | + | 0.931835i | \(0.618207\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.988651 | + | 4.33156i | −0.197730 | + | 0.866313i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.08707 | − | 2.44980i | 0.979007 | − | 0.471465i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.35245 | − | 3.05918i | −1.17962 | − | 0.568075i | −0.261819 | − | 0.965117i | \(-0.584322\pi\) |
−0.917801 | + | 0.397042i | \(0.870037\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.74877 | −0.673298 | −0.336649 | − | 0.941630i | \(-0.609294\pi\) | ||||
−0.336649 | + | 0.941630i | \(0.609294\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −3.24934 | − | 2.59126i | −0.565637 | − | 0.451081i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.93982 | + | 0.369333i | −0.327889 | + | 0.0624286i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.24341 | − | 3.00667i | −1.02641 | − | 0.494293i | −0.156591 | − | 0.987664i | \(-0.550051\pi\) |
−0.869819 | + | 0.493370i | \(0.835765\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 5.11189 | + | 4.07660i | 0.818558 | + | 0.652778i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −9.00202 | + | 7.17887i | −1.40588 | + | 1.12115i | −0.430003 | + | 0.902827i | \(0.641488\pi\) |
−0.975876 | + | 0.218324i | \(0.929941\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 9.26094 | + | 7.38535i | 1.41228 | + | 1.12626i | 0.973771 | + | 0.227529i | \(0.0730646\pi\) |
0.438509 | + | 0.898727i | \(0.355507\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0.277436 | + | 0.576101i | 0.0413577 | + | 0.0858801i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.75018 | − | 7.66806i | −0.255291 | − | 1.11850i | −0.926221 | − | 0.376981i | \(-0.876962\pi\) |
0.670930 | − | 0.741520i | \(-0.265895\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.95646 | + | 5.77463i | 0.565209 | + | 0.824948i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −3.95591 | + | 0.902910i | −0.553938 | + | 0.126433i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 10.6688 | − | 5.13783i | 1.46547 | − | 0.705735i | 0.480269 | − | 0.877121i | \(-0.340539\pi\) |
0.985204 | + | 0.171386i | \(0.0548246\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.32104 | − | 1.65654i | 0.178130 | − | 0.223367i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6.98725 | + | 8.76174i | 0.925484 | + | 1.16052i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −3.70620 | + | 4.64743i | −0.482507 | + | 0.605044i | −0.962184 | − | 0.272401i | \(-0.912182\pi\) |
0.479677 | + | 0.877445i | \(0.340754\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.65453 | − | 7.58871i | 0.467915 | − | 0.971635i | −0.524809 | − | 0.851220i | \(-0.675863\pi\) |
0.992724 | − | 0.120415i | \(-0.0384224\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.47657 | − | 1.71978i | 0.186031 | − | 0.216672i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.07828 | + | 2.60608i | −0.257779 | + | 0.323245i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | − | 2.87802i | − | 0.351606i | −0.984425 | − | 0.175803i | \(-0.943748\pi\) | ||
0.984425 | − | 0.175803i | \(-0.0562521\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −4.15582 | + | 8.62965i | −0.500302 | + | 1.03889i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.64942 | + | 3.42506i | 0.195751 | + | 0.406480i | 0.975621 | − | 0.219460i | \(-0.0704296\pi\) |
−0.779871 | + | 0.625940i | \(0.784715\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −12.8007 | − | 2.92168i | −1.49821 | − | 0.341957i | −0.606691 | − | 0.794937i | \(-0.707504\pi\) |
−0.891521 | + | 0.452980i | \(0.850361\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −5.86030 | + | 2.82217i | −0.676690 | + | 0.325877i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.25720 | − | 1.93566i | −0.827035 | − | 0.220589i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 10.6555i | − | 1.19884i | −0.800434 | − | 0.599421i | \(-0.795397\pi\) | ||
0.800434 | − | 0.599421i | \(-0.204603\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.13175 | + | 2.47132i | 0.570195 | + | 0.274591i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −0.570078 | + | 2.49768i | −0.0625742 | + | 0.274156i | −0.996530 | − | 0.0832326i | \(-0.973476\pi\) |
0.933956 | + | 0.357388i | \(0.116333\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.460310 | − | 2.01675i | −0.0499276 | − | 0.218747i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.29689 | − | 10.0633i | −0.246253 | − | 1.07890i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 8.01149 | + | 1.82857i | 0.849217 | + | 0.193828i | 0.624916 | − | 0.780692i | \(-0.285133\pi\) |
0.224300 | + | 0.974520i | \(0.427990\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 11.4171 | + | 3.04521i | 1.19684 | + | 0.319225i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.42181 | − | 4.29082i | −0.354825 | − | 0.444937i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −4.46680 | + | 3.56215i | −0.458284 | + | 0.365469i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 3.34444i | − | 0.339576i | −0.985481 | − | 0.169788i | \(-0.945692\pi\) | ||
0.985481 | − | 0.169788i | \(-0.0543083\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.43214i | 0.244439i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.92431 | − | 1.53459i | 0.191476 | − | 0.152697i | −0.523059 | − | 0.852296i | \(-0.675209\pi\) |
0.714536 | + | 0.699599i | \(0.246638\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.33833 | − | 1.67821i | −0.131869 | − | 0.165359i | 0.711513 | − | 0.702673i | \(-0.248010\pi\) |
−0.843382 | + | 0.537314i | \(0.819439\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −2.19337 | − | 1.88318i | −0.214051 | − | 0.183780i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 12.0646 | + | 2.75366i | 1.16633 | + | 0.266207i | 0.761487 | − | 0.648181i | \(-0.224470\pi\) |
0.404841 | + | 0.914387i | \(0.367327\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.332533 | − | 1.45692i | −0.0318509 | − | 0.139548i | 0.956502 | − | 0.291724i | \(-0.0942290\pi\) |
−0.988353 | + | 0.152176i | \(0.951372\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −2.25747 | − | 9.89061i | −0.214269 | − | 0.938775i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 2.30656 | − | 10.1057i | 0.216983 | − | 0.950665i | −0.742710 | − | 0.669614i | \(-0.766460\pi\) |
0.959693 | − | 0.281051i | \(-0.0906831\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.39946 | − | 2.11867i | −0.410252 | − | 0.197567i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − | 3.82626i | − | 0.353738i | ||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.89516 | + | 4.36126i | −0.540409 | + | 0.399796i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −2.64965 | + | 1.27601i | −0.240878 | + | 0.116001i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −16.4338 | − | 3.75091i | −1.48178 | − | 0.338208i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −3.05792 | − | 6.34983i | −0.273508 | − | 0.567946i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.61869 | + | 7.51429i | −0.321107 | + | 0.666786i | −0.997569 | − | 0.0696923i | \(-0.977798\pi\) |
0.676461 | + | 0.736478i | \(0.263513\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 17.3412i | 1.52681i | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.87210 | − | 6.10943i | 0.425678 | − | 0.533783i | −0.522028 | − | 0.852928i | \(-0.674824\pi\) |
0.947706 | + | 0.319145i | \(0.103396\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 17.9167 | + | 9.44306i | 1.55358 | + | 0.818818i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −1.82842 | + | 3.79675i | −0.157365 | + | 0.326772i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.8732 | − | 16.1425i | 1.09984 | − | 1.37915i | 0.181479 | − | 0.983395i | \(-0.441912\pi\) |
0.918356 | − | 0.395755i | \(-0.129517\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −12.0541 | − | 15.1153i | −1.02241 | − | 1.28206i | −0.958798 | − | 0.284090i | \(-0.908309\pi\) |
−0.0636147 | − | 0.997975i | \(-0.520263\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 7.17927 | − | 9.00253i | 0.604604 | − | 0.758149i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −11.4231 | + | 5.50107i | −0.955247 | + | 0.460022i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 5.13037 | − | 1.17097i | 0.426054 | − | 0.0972440i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −2.99822 | + | 9.79953i | −0.247289 | + | 0.808252i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.16108 | − | 13.8496i | −0.258966 | − | 1.13460i | −0.922360 | − | 0.386333i | \(-0.873742\pi\) |
0.663394 | − | 0.748271i | \(-0.269115\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.58908 | − | 3.29977i | −0.129318 | − | 0.268531i | 0.826249 | − | 0.563304i | \(-0.190470\pi\) |
−0.955567 | + | 0.294773i | \(0.904756\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.85649 | + | 1.48050i | 0.150088 | + | 0.119692i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.18749 | − | 1.74446i | 0.175703 | − | 0.140119i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.91388 | + | 4.71617i | 0.471979 | + | 0.376391i | 0.830399 | − | 0.557170i | \(-0.188113\pi\) |
−0.358419 | + | 0.933561i | \(0.616684\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 15.6190 | + | 7.52173i | 1.23867 | + | 0.596512i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −0.627447 | + | 17.2985i | −0.0494497 | + | 1.36331i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.42935 | − | 5.92471i | −0.581912 | − | 0.464059i | 0.287751 | − | 0.957705i | \(-0.407092\pi\) |
−0.869663 | + | 0.493646i | \(0.835664\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 3.10189 | 0.241482 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 2.47849 | + | 1.19358i | 0.191791 | + | 0.0923619i | 0.527315 | − | 0.849670i | \(-0.323199\pi\) |
−0.335523 | + | 0.942032i | \(0.608913\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.25832 | − | 3.01385i | 0.481410 | − | 0.231835i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.45933 | − | 6.39375i | 0.111598 | − | 0.488943i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −10.8189 | − | 22.4656i | −0.822544 | − | 1.70803i | −0.698332 | − | 0.715774i | \(-0.746074\pi\) |
−0.124212 | − | 0.992256i | \(-0.539640\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −7.65741 | + | 8.91869i | −0.578846 | + | 0.674190i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −8.70239 | −0.654111 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.01315 | + | 6.25686i | −0.225213 | + | 0.467660i | −0.982703 | − | 0.185187i | \(-0.940711\pi\) |
0.757490 | + | 0.652846i | \(0.226425\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −11.5309 | − | 2.63185i | −0.857083 | − | 0.195624i | −0.228671 | − | 0.973504i | \(-0.573438\pi\) |
−0.628413 | + | 0.777880i | \(0.716295\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 12.0218 | − | 2.74389i | 0.888676 | − | 0.202834i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 5.04231 | − | 1.15087i | 0.370718 | − | 0.0846139i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.75085 | − | 7.67098i | 0.128035 | − | 0.560958i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 14.9287 | + | 0.541489i | 1.08590 | + | 0.0393875i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.1613 | + | 8.90081i | −0.807601 | + | 0.644040i | −0.937694 | − | 0.347462i | \(-0.887044\pi\) |
0.130093 | + | 0.991502i | \(0.458472\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.19083 | + | 11.5249i | 0.661571 | + | 0.829583i | 0.993513 | − | 0.113716i | \(-0.0362755\pi\) |
−0.331943 | + | 0.943300i | \(0.607704\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −4.87992 | −0.349459 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 13.4757 | 0.960106 | 0.480053 | − | 0.877240i | \(-0.340617\pi\) | ||||
0.480053 | + | 0.877240i | \(0.340617\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −5.44906 | − | 6.83290i | −0.386273 | − | 0.484371i | 0.550238 | − | 0.835008i | \(-0.314537\pi\) |
−0.936512 | + | 0.350636i | \(0.885965\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 3.29416 | − | 2.62700i | 0.232352 | − | 0.185295i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −11.0945 | − | 14.9966i | −0.778681 | − | 1.05255i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.91224 | − | 8.37807i | 0.133557 | − | 0.585150i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 5.46465 | − | 1.24727i | 0.379820 | − | 0.0866913i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −21.1863 | + | 4.83563i | −1.46549 | + | 0.334488i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −3.27585 | − | 0.747691i | −0.225519 | − | 0.0514731i | 0.108268 | − | 0.994122i | \(-0.465469\pi\) |
−0.333787 | + | 0.942649i | \(0.608327\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −2.41474 | + | 5.01426i | −0.165455 | + | 0.343572i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −8.84069 | −0.602930 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −8.77422 | − | 4.62448i | −0.595633 | − | 0.313930i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −8.34015 | − | 17.3185i | −0.563575 | − | 1.17028i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.75446 | + | 12.0681i | −0.185285 | + | 0.811786i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.0534 | − | 5.32303i | 0.740190 | − | 0.356456i | −0.0254931 | − | 0.999675i | \(-0.508116\pi\) |
0.765683 | + | 0.643219i | \(0.222401\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 3.42947 | + | 1.65154i | 0.228631 | + | 0.110103i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −16.8406 | −1.11775 | −0.558876 | − | 0.829251i | \(-0.688767\pi\) | ||||
−0.558876 | + | 0.829251i | \(0.688767\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.94811 | − | 7.13588i | −0.591308 | − | 0.471552i | 0.281537 | − | 0.959550i | \(-0.409156\pi\) |
−0.872845 | + | 0.487998i | \(0.837727\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.40870 | − | 10.0734i | −0.290071 | − | 0.662780i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −23.1694 | − | 11.1578i | −1.51788 | − | 0.730973i | −0.525114 | − | 0.851032i | \(-0.675977\pi\) |
−0.992767 | + | 0.120060i | \(0.961691\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.58955 | + | 3.66005i | 0.299390 | + | 0.238755i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 12.1963 | − | 9.72620i | 0.792233 | − | 0.631785i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −11.4121 | − | 9.10085i | −0.738188 | − | 0.588685i | 0.180544 | − | 0.983567i | \(-0.442214\pi\) |
−0.918732 | + | 0.394882i | \(0.870785\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 3.84677 | + | 7.98790i | 0.247792 | + | 0.514546i | 0.987352 | − | 0.158545i | \(-0.0506804\pi\) |
−0.739560 | + | 0.673091i | \(0.764966\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −1.91369 | − | 8.38441i | −0.122763 | − | 0.537860i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −4.99587 | − | 1.52851i | −0.319175 | − | 0.0976531i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 33.3305 | − | 7.60746i | 2.12077 | − | 0.484051i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −3.37918 | + | 1.62733i | −0.214147 | + | 0.103128i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.64093 | − | 2.05766i | 0.103574 | − | 0.129878i | −0.727343 | − | 0.686274i | \(-0.759245\pi\) |
0.830917 | + | 0.556396i | \(0.187816\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −11.5803 | − | 14.5212i | −0.728044 | − | 0.912939i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 1.88820 | − | 2.36772i | 0.118243 | − | 0.148273i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.33144 | − | 6.91781i | 0.207810 | − | 0.431521i | −0.770848 | − | 0.637019i | \(-0.780167\pi\) |
0.978657 | + | 0.205498i | \(0.0658815\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −10.9041 | − | 14.7392i | −0.677546 | − | 0.915847i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.76622 | + | 4.72269i | −0.233123 | + | 0.292327i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 22.0087i | 1.35711i | 0.734548 | + | 0.678557i | \(0.237394\pi\) | ||||
−0.734548 | + | 0.678557i | \(0.762606\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −3.83463 | + | 7.96270i | −0.235560 | + | 0.489145i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 5.21979 | + | 10.8390i | 0.319446 | + | 0.663336i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.94398 | − | 0.900187i | −0.240468 | − | 0.0548854i | 0.100588 | − | 0.994928i | \(-0.467928\pi\) |
−0.341056 | + | 0.940043i | \(0.610785\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 2.07004 | − | 0.996877i | 0.125746 | − | 0.0605560i | −0.369953 | − | 0.929050i | \(-0.620626\pi\) |
0.495699 | + | 0.868494i | \(0.334912\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 6.93581 | + | 15.8476i | 0.419775 | + | 0.959138i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | − | 12.6129i | − | 0.760588i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.24266 | − | 3.00631i | −0.375085 | − | 0.180632i | 0.236837 | − | 0.971549i | \(-0.423889\pi\) |
−0.611922 | + | 0.790918i | \(0.709604\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.714667 | + | 3.13116i | −0.0427860 | + | 0.187458i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.35967 | − | 5.95710i | −0.0811110 | − | 0.355371i | 0.918044 | − | 0.396479i | \(-0.129768\pi\) |
−0.999155 | + | 0.0411087i | \(0.986911\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.18329 | + | 22.7095i | 0.308115 | + | 1.34994i | 0.857549 | + | 0.514402i | \(0.171986\pi\) |
−0.549435 | + | 0.835537i | \(0.685157\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −8.15444 | − | 1.86120i | −0.483027 | − | 0.110248i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −29.9256 | + | 5.69771i | −1.76646 | + | 0.336325i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.80972 | + | 7.28516i | 0.341748 | + | 0.428539i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 3.82802 | − | 3.05275i | 0.224403 | − | 0.178955i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 4.30147i | 0.251295i | 0.992075 | + | 0.125647i | \(0.0401008\pi\) | ||||
−0.992075 | + | 0.125647i | \(0.959899\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | − | 4.43654i | − | 0.258305i | ||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −12.5318 | + | 9.99380i | −0.727170 | + | 0.579899i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 18.2182 | + | 22.8449i | 1.05358 | + | 1.32115i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 12.5652 | + | 28.7102i | 0.724248 | + | 1.65483i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.51296 | + | 0.801811i | 0.201814 | + | 0.0460628i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.39886 | + | 6.12879i | 0.0800983 | + | 0.350934i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 0.873487 | + | 3.82699i | 0.0498525 | + | 0.218418i | 0.993718 | − | 0.111911i | \(-0.0356973\pi\) |
−0.943866 | + | 0.330330i | \(0.892840\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.699266 | − | 3.06368i | 0.0397798 | − | 0.174287i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 10.5040 | + | 5.05848i | 0.595629 | + | 0.286840i | 0.707309 | − | 0.706904i | \(-0.249909\pi\) |
−0.111680 | + | 0.993744i | \(0.535623\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.52163i | 0.312101i | 0.987749 | + | 0.156050i | \(0.0498762\pi\) | ||||
−0.987749 | + | 0.156050i | \(0.950124\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −0.0613226 | + | 1.69065i | −0.00345514 | + | 0.0952571i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 17.4880 | − | 8.42177i | 0.982223 | − | 0.473014i | 0.127354 | − | 0.991857i | \(-0.459352\pi\) |
0.854869 | + | 0.518843i | \(0.173637\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 19.5140 | + | 4.45395i | 1.09258 | + | 0.249374i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 7.86052 | + | 16.3225i | 0.438732 | + | 0.911036i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −9.20550 | + | 19.1154i | −0.512208 | + | 1.06361i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 19.8428i | 1.10068i | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.36405 | − | 1.71047i | 0.0754324 | − | 0.0945892i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 5.36290 | − | 20.1066i | 0.295666 | − | 1.10851i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.14994 | − | 6.54091i | 0.173136 | − | 0.359521i | −0.796286 | − | 0.604921i | \(-0.793205\pi\) |
0.969422 | + | 0.245400i | \(0.0789191\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.70157 | + | 4.64163i | −0.202845 | + | 0.254359i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 1.33927 | + | 1.67939i | 0.0731720 | + | 0.0917547i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.5523 | − | 16.9941i | 0.738243 | − | 0.925727i | −0.260972 | − | 0.965346i | \(-0.584043\pi\) |
0.999215 | + | 0.0396190i | \(0.0126144\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 13.6723 | − | 6.58424i | 0.742579 | − | 0.357607i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 10.3754 | − | 2.36811i | 0.561859 | − | 0.128241i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2.13677 | + | 18.3966i | 0.115374 | + | 0.993322i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.59074 | − | 6.96948i | −0.0856425 | − | 0.375224i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 7.07694 | + | 14.6954i | 0.379910 | + | 0.788891i | 0.999991 | + | 0.00435293i | \(0.00138558\pi\) |
−0.620081 | + | 0.784538i | \(0.712900\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.1017 | − | 14.4356i | −0.968959 | − | 0.772719i | 0.00487266 | − | 0.999988i | \(-0.498449\pi\) |
−0.973832 | + | 0.227269i | \(0.927020\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 19.7152 | − | 15.7223i | 1.05232 | − | 0.839197i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −18.4378 | − | 14.7036i | −0.981344 | − | 0.782596i | −0.00525946 | − | 0.999986i | \(-0.501674\pi\) |
−0.976085 | + | 0.217390i | \(0.930246\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.55631 | − | 1.23105i | −0.135675 | − | 0.0653375i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −10.3729 | − | 2.76669i | −0.548991 | − | 0.146429i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −6.17766 | − | 4.92652i | −0.326044 | − | 0.260012i | 0.446763 | − | 0.894652i | \(-0.352577\pi\) |
−0.772807 | + | 0.634641i | \(0.781148\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 39.5973 | 2.08407 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.87907 | − | 1.86806i | −0.203598 | − | 0.0980478i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.82910 | − | 4.25187i | 0.462136 | − | 0.222553i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2.55991 | − | 11.2157i | 0.133626 | − | 0.585454i | −0.863131 | − | 0.504981i | \(-0.831500\pi\) |
0.996757 | − | 0.0804736i | \(-0.0256433\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 4.28001 | + | 8.88754i | 0.222809 | + | 0.462667i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 31.3090 | + | 1.13563i | 1.62548 | + | 0.0589591i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.4606 | −0.593406 | −0.296703 | − | 0.954970i | \(-0.595887\pi\) | ||||
−0.296703 | + | 0.954970i | \(0.595887\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 4.47676 | − | 9.29609i | 0.231179 | − | 0.480048i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −30.6997 | − | 7.00701i | −1.58111 | − | 0.360879i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.07633 | + | 1.84337i | −0.414853 | + | 0.0946876i | −0.424853 | − | 0.905262i | \(-0.639674\pi\) |
0.00999950 | + | 0.999950i | \(0.496817\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −11.9039 | + | 2.71699i | −0.609855 | + | 0.139195i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.21831 | + | 31.6255i | −0.368838 | + | 1.61599i | 0.361137 | + | 0.932513i | \(0.382389\pi\) |
−0.729975 | + | 0.683474i | \(0.760468\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.13549 | − | 2.24759i | 0.261729 | − | 0.114548i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 7.93414 | − | 6.32726i | 0.403315 | − | 0.321633i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 16.7804 | + | 21.0420i | 0.850801 | + | 1.06687i | 0.996984 | + | 0.0776132i | \(0.0247299\pi\) |
−0.146182 | + | 0.989258i | \(0.546699\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −18.1334 | −0.917048 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 11.4400 | 0.577071 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.95849 | + | 6.21775i | 0.249489 | + | 0.312849i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.45246 | + | 4.34819i | −0.273651 | + | 0.218230i | −0.750693 | − | 0.660651i | \(-0.770280\pi\) |
0.477042 | + | 0.878880i | \(0.341709\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 5.54562 | + | 29.1269i | 0.277628 | + | 1.45817i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −7.85804 | + | 34.4283i | −0.392412 | + | 1.71927i | 0.263700 | + | 0.964605i | \(0.415057\pi\) |
−0.656112 | + | 0.754664i | \(0.727800\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −16.3227 | + | 3.72554i | −0.813090 | + | 0.185582i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −4.14451 | + | 0.945957i | −0.205942 | + | 0.0470050i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 19.1791 | + | 4.37750i | 0.950673 | + | 0.216985i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.11195 | − | 4.38551i | 0.104429 | − | 0.216850i | −0.842206 | − | 0.539155i | \(-0.818744\pi\) |
0.946636 | + | 0.322306i | \(0.104458\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 30.2271 | 1.49099 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −14.4077 | + | 6.30564i | −0.708955 | + | 0.310280i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −0.829625 | − | 1.72273i | −0.0407247 | − | 0.0845656i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 6.29815 | − | 27.5940i | 0.308422 | − | 1.35128i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −24.8980 | + | 11.9902i | −1.21635 | + | 0.585761i | −0.928292 | − | 0.371853i | \(-0.878722\pi\) |
−0.288054 | + | 0.957614i | \(0.593008\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 31.8253 | + | 15.3262i | 1.55107 | + | 0.746955i | 0.996373 | − | 0.0850982i | \(-0.0271204\pi\) |
0.554696 | + | 0.832053i | \(0.312835\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −6.73841 | −0.327633 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −9.62765 | − | 7.67780i | −0.467010 | − | 0.372428i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 17.9151 | − | 13.2536i | 0.866972 | − | 0.641388i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −16.7233 | − | 8.05351i | −0.807408 | − | 0.388827i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 16.7037 | + | 13.3207i | 0.804587 | + | 0.641637i | 0.936910 | − | 0.349570i | \(-0.113672\pi\) |
−0.132323 | + | 0.991207i | \(0.542244\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.69579 | + | 7.73213i | −0.465950 | + | 0.371583i | −0.828140 | − | 0.560522i | \(-0.810601\pi\) |
0.362190 | + | 0.932104i | \(0.382029\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 6.02320 | + | 4.80334i | 0.288790 | + | 0.230303i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 21.7299 | + | 45.1226i | 1.03948 | + | 2.15851i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 3.73252 | + | 16.3533i | 0.178144 | + | 0.780499i | 0.982487 | + | 0.186333i | \(0.0596604\pi\) |
−0.804343 | + | 0.594165i | \(0.797482\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 5.57753 | − | 2.20376i | 0.265597 | − | 0.104941i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −5.88301 | + | 1.34276i | −0.279510 | + | 0.0637964i | −0.359978 | − | 0.932961i | \(-0.617216\pi\) |
0.0804677 | + | 0.996757i | \(0.474359\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.52580 | + | 2.66109i | −0.261948 | + | 0.126148i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 12.9668 | − | 16.2598i | 0.613308 | − | 0.769064i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 2.38463 | + | 2.99023i | 0.112538 | + | 0.141118i | 0.834910 | − | 0.550387i | \(-0.185520\pi\) |
−0.722372 | + | 0.691504i | \(0.756948\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 20.3798 | − | 25.5554i | 0.959647 | − | 1.20336i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 2.32640 | − | 4.83083i | 0.109304 | − | 0.226972i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −8.07920 | + | 3.53593i | −0.378759 | + | 0.165767i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −10.6215 | + | 13.3189i | −0.496851 | + | 0.623032i | −0.965516 | − | 0.260344i | \(-0.916164\pi\) |
0.468664 | + | 0.883376i | \(0.344735\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 15.6492i | 0.730443i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.0359041 | − | 0.0745555i | 0.00167222 | − | 0.00347240i | −0.900131 | − | 0.435619i | \(-0.856529\pi\) |
0.901803 | + | 0.432147i | \(0.142244\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.40999 | − | 9.15745i | −0.204950 | − | 0.425583i | 0.773005 | − | 0.634400i | \(-0.218753\pi\) |
−0.977955 | + | 0.208818i | \(0.933039\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 3.99341 | + | 0.911469i | 0.185190 | + | 0.0422684i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 11.5662 | − | 5.56998i | 0.535219 | − | 0.257748i | −0.146693 | − | 0.989182i | \(-0.546863\pi\) |
0.681912 | + | 0.731434i | \(0.261149\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 3.55032 | − | 6.73618i | 0.163939 | − | 0.311048i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 11.0738i | 0.510255i | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −30.2967 | − | 14.5901i | −1.39304 | − | 0.670854i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.56801 | + | 33.1576i | −0.347244 | + | 1.52138i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.25747 | − | 9.89061i | −0.103362 | − | 0.452860i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −6.68066 | − | 29.2699i | −0.305247 | − | 1.33737i | −0.862089 | − | 0.506756i | \(-0.830844\pi\) |
0.556842 | − | 0.830618i | \(-0.312013\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −30.1728 | − | 6.88673i | −1.37576 | − | 0.314008i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −20.3725 | + | 15.0716i | −0.926981 | + | 0.685783i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.55631 | + | 1.95155i | 0.0706685 | + | 0.0886155i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −4.26640 | + | 3.40234i | −0.193329 | + | 0.154175i | −0.715371 | − | 0.698745i | \(-0.753742\pi\) |
0.522041 | + | 0.852920i | \(0.325171\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | − | 13.9116i | − | 0.629103i | ||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 14.7035i | 0.663560i | 0.943357 | + | 0.331780i | \(0.107649\pi\) | ||||
−0.943357 | + | 0.331780i | \(0.892351\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 15.2785 | − | 12.1842i | 0.688107 | − | 0.548747i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.13178 | − | 1.41921i | −0.0508697 | − | 0.0637886i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −0.364578 | + | 10.0513i | −0.0163536 | + | 0.450863i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 42.6862 | + | 9.74284i | 1.91090 | + | 0.436149i | 0.999708 | + | 0.0241572i | \(0.00769023\pi\) |
0.911187 | + | 0.411992i | \(0.135167\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0.896163 | + | 3.92635i | 0.0400376 | + | 0.175416i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.20446 | − | 31.5648i | −0.321231 | − | 1.40740i | −0.835366 | − | 0.549695i | \(-0.814744\pi\) |
0.514135 | − | 0.857709i | \(-0.328113\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −0.408769 | + | 1.79093i | −0.0181900 | + | 0.0796955i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9.16213 | + | 4.41225i | 0.406904 | + | 0.195955i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | − | 18.7995i | − | 0.833275i | −0.909073 | − | 0.416638i | \(-0.863208\pi\) | ||
0.909073 | − | 0.416638i | \(-0.136792\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −26.3567 | − | 22.6294i | −1.16595 | − | 1.00106i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 38.9409 | − | 18.7530i | 1.71928 | − | 0.827963i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 1.56189 | + | 0.356491i | 0.0688250 | + | 0.0157089i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 9.68790 | + | 20.1171i | 0.426073 | + | 0.884751i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 15.8387 | − | 32.8895i | 0.695243 | − | 1.44369i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 15.5108i | 0.679540i | 0.940509 | + | 0.339770i | \(0.110349\pi\) | ||||
−0.940509 | + | 0.339770i | \(0.889651\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.0902 | − | 13.9067i | 0.484941 | − | 0.608097i | −0.477818 | − | 0.878459i | \(-0.658572\pi\) |
0.962759 | + | 0.270362i | \(0.0871435\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −17.1978 | − | 0.623795i | −0.750575 | − | 0.0272247i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 4.50813 | − | 9.36124i | 0.196377 | − | 0.407782i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −12.3480 | + | 15.4839i | −0.536868 | + | 0.673212i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 3.17522 | + | 3.98160i | 0.137793 | + | 0.172787i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −32.0617 | + | 40.2041i | −1.38875 | + | 1.74143i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.32136 | + | 4.00735i | −0.359764 | + | 0.173253i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −9.91192 | + | 2.26233i | −0.427731 | + | 0.0976268i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −14.5981 | − | 13.4830i | −0.628784 | − | 0.580755i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.60462 | − | 7.03030i | −0.0689881 | − | 0.302256i | 0.928649 | − | 0.370959i | \(-0.120971\pi\) |
−0.997637 | + | 0.0687029i | \(0.978114\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.51279 | − | 15.6005i | −0.322405 | − | 0.669480i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0.872011 | + | 0.695405i | 0.0373528 | + | 0.0297879i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −7.53685 | + | 6.01043i | −0.322252 | + | 0.256988i | −0.771232 | − | 0.636554i | \(-0.780359\pi\) |
0.448979 | + | 0.893542i | \(0.351788\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −5.64178 | − | 4.49917i | −0.240785 | − | 0.192020i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −48.6273 | − | 23.4177i | −2.07159 | − | 0.997626i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.1447 | − | 24.9400i | 0.558969 | − | 1.06056i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 5.91981 | + | 4.72089i | 0.251282 | + | 0.200391i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 4.57373 | 0.193795 | 0.0968976 | − | 0.995294i | \(-0.469108\pi\) | ||||
0.0968976 | + | 0.995294i | \(0.469108\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 47.6631 | + | 22.9533i | 2.01593 | + | 0.970822i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 10.3783 | − | 4.99793i | 0.438173 | − | 0.211013i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −2.49552 | + | 10.9336i | −0.105174 | + | 0.460796i | 0.894726 | + | 0.446616i | \(0.147371\pi\) |
−0.999899 | + | 0.0141801i | \(0.995486\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3.35670 | + | 6.97025i | 0.141217 | + | 0.293241i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 8.96257 | + | 12.1148i | 0.376392 | + | 0.508774i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 34.8208 | 1.45976 | 0.729882 | − | 0.683573i | \(-0.239575\pi\) | ||||
0.729882 | + | 0.683573i | \(0.239575\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.143914 | + | 0.298840i | −0.00602259 | + | 0.0125060i | −0.903958 | − | 0.427620i | \(-0.859352\pi\) |
0.897936 | + | 0.440126i | \(0.145066\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −20.3756 | − | 4.65061i | −0.851204 | − | 0.194282i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −28.3393 | + | 6.46827i | −1.18183 | + | 0.269746i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −14.2014 | + | 3.24139i | −0.591214 | + | 0.134941i | −0.507653 | − | 0.861562i | \(-0.669487\pi\) |
−0.0835615 | + | 0.996503i | \(0.526630\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −4.80214 | + | 21.0395i | −0.199570 | + | 0.874373i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −4.41544 | + | 5.14272i | −0.183183 | + | 0.213356i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −26.2823 | + | 20.9594i | −1.08850 | + | 0.868050i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.78053 | + | 2.23271i | 0.0736158 | + | 0.0923113i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −17.1275 | −0.706929 | −0.353464 | − | 0.935448i | \(-0.614996\pi\) | ||||
−0.353464 | + | 0.935448i | \(0.614996\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −28.6964 | −1.18241 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 12.3004 | + | 15.4242i | 0.505971 | + | 0.634468i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 7.08018 | − | 5.64625i | 0.290748 | − | 0.231864i | −0.467243 | − | 0.884129i | \(-0.654753\pi\) |
0.757991 | + | 0.652265i | \(0.226181\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 1.41048 | − | 5.28817i | 0.0578239 | − | 0.216794i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.84709 | − | 12.4739i | 0.116524 | − | 0.510523i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 22.3946 | − | 5.11142i | 0.915018 | − | 0.208847i | 0.261012 | − | 0.965336i | \(-0.415944\pi\) |
0.654007 | + | 0.756489i | \(0.273087\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 30.9570 | − | 7.06574i | 1.26276 | − | 0.288217i | 0.461828 | − | 0.886969i | \(-0.347194\pi\) |
0.800935 | + | 0.598752i | \(0.204336\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2.40387 | − | 0.548667i | −0.0978930 | − | 0.0223434i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0.952351 | − | 1.97758i | 0.0387186 | − | 0.0804000i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.455111 | −0.0184724 | −0.00923619 | − | 0.999957i | \(-0.502940\pi\) | ||||
−0.00923619 | + | 0.999957i | \(0.502940\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 7.03811 | − | 26.3873i | 0.285199 | − | 1.06927i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −15.2411 | − | 31.6485i | −0.616589 | − | 1.28036i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.55574 | + | 28.7226i | −0.264784 | + | 1.16009i | 0.651209 | + | 0.758899i | \(0.274262\pi\) |
−0.915993 | + | 0.401195i | \(0.868595\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 11.3349 | − | 5.45862i | 0.457069 | − | 0.220113i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −18.9663 | − | 9.13371i | −0.763556 | − | 0.367709i | 0.0112263 | − | 0.999937i | \(-0.496426\pi\) |
−0.774783 | + | 0.632228i | \(0.782141\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.28200 | −0.212302 | −0.106151 | − | 0.994350i | \(-0.533853\pi\) | ||||
−0.106151 | + | 0.994350i | \(0.533853\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 28.8813 | + | 23.0320i | 1.15897 | + | 0.924244i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 16.4957 | + | 14.1629i | 0.660885 | + | 0.567423i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −15.2756 | − | 7.35635i | −0.611024 | − | 0.294254i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −24.8733 | − | 19.8358i | −0.993344 | − | 0.792166i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 15.0162 | − | 11.9750i | 0.598736 | − | 0.477476i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.0725 | − | 9.62751i | −0.480599 | − | 0.383265i | 0.353010 | − | 0.935620i | \(-0.385158\pi\) |
−0.833609 | + | 0.552354i | \(0.813730\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −2.13434 | − | 4.43199i | −0.0848322 | − | 0.176156i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −1.38514 | − | 6.06870i | −0.0549676 | − | 0.240829i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 22.9659 | + | 21.2116i | 0.909941 | + | 0.840435i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.17524 | − | 0.724727i | 0.125610 | − | 0.0286698i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −13.9476 | + | 6.71679i | −0.550896 | + | 0.265297i | −0.688557 | − | 0.725182i | \(-0.741756\pi\) |
0.137662 | + | 0.990479i | \(0.456041\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −5.10534 | + | 6.40189i | −0.201335 | + | 0.252466i | −0.872241 | − | 0.489076i | \(-0.837334\pi\) |
0.670906 | + | 0.741542i | \(0.265905\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −8.06964 | − | 10.1190i | −0.317742 | − | 0.398435i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −6.91336 | + | 8.66907i | −0.271792 | + | 0.340816i | −0.898930 | − | 0.438091i | \(-0.855655\pi\) |
0.627138 | + | 0.778908i | \(0.284226\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 7.32178 | − | 15.2038i | 0.287405 | − | 0.596803i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −2.71581 | − | 14.2641i | −0.106441 | − | 0.559053i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −20.3303 | + | 25.4934i | −0.795587 | + | 0.997635i | 0.204238 | + | 0.978921i | \(0.434528\pi\) |
−0.999825 | + | 0.0187135i | \(0.994043\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 5.83219i | 0.227883i | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −4.88068 | + | 10.1348i | −0.190413 | + | 0.395398i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.32499 | + | 2.75137i | 0.0516143 | + | 0.107178i | 0.925181 | − | 0.379526i | \(-0.123913\pi\) |
−0.873567 | + | 0.486705i | \(0.838199\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −45.3445 | − | 10.3496i | −1.76370 | − | 0.402552i | −0.786961 | − | 0.617002i | \(-0.788347\pi\) |
−0.976735 | + | 0.214450i | \(0.931204\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −16.3273 | + | 7.86280i | −0.634098 | + | 0.305366i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −14.8491 | + | 2.82720i | −0.575823 | + | 0.109634i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | − | 46.1293i | − | 1.78613i | ||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 16.1821 | + | 7.79287i | 0.625634 | + | 0.301290i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −5.32075 | + | 23.3117i | −0.205405 | + | 0.899938i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.32432 | + | 5.80221i | 0.0510486 | + | 0.223659i | 0.994017 | − | 0.109223i | \(-0.0348362\pi\) |
−0.942969 | + | 0.332882i | \(0.891979\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 5.58214 | + | 24.4569i | 0.214857 | + | 0.941348i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −7.08002 | − | 1.61597i | −0.272107 | − | 0.0621067i | 0.0842899 | − | 0.996441i | \(-0.473138\pi\) |
−0.356397 | + | 0.934335i | \(0.615995\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.12570 | − | 7.82787i | 0.158330 | − | 0.300406i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −15.3718 | − | 19.2757i | −0.589050 | − | 0.738646i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 9.45025 | − | 7.53633i | 0.361604 | − | 0.288370i | −0.425787 | − | 0.904823i | \(-0.640003\pi\) |
0.787391 | + | 0.616454i | \(0.211431\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 15.4100i | 0.588786i | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | − | 16.7555i | − | 0.639261i | ||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 41.3475 | − | 32.9735i | 1.57522 | − | 1.25619i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.44921 | − | 5.57913i | −0.169256 | − | 0.212240i | 0.689968 | − | 0.723840i | \(-0.257625\pi\) |
−0.859224 | + | 0.511600i | \(0.829053\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −3.00028 | + | 5.69257i | −0.113971 | + | 0.216243i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 14.0676 | + | 3.21085i | 0.533616 | + | 0.121794i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.10122 | − | 31.1125i | −0.268978 | − | 1.17847i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −8.37751 | − | 36.7043i | −0.316866 | − | 1.38828i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.42298 | − | 6.23450i | 0.0537454 | − | 0.235474i | −0.940920 | − | 0.338629i | \(-0.890037\pi\) |
0.994665 | + | 0.103155i | \(0.0328939\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −47.7926 | − | 23.0157i | −1.80253 | − | 0.868054i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 8.59401i | 0.323669i | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 6.39704 | − | 1.21797i | 0.240586 | − | 0.0458064i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 23.1413 | − | 11.1443i | 0.869090 | − | 0.418532i | 0.0544622 | − | 0.998516i | \(-0.482656\pi\) |
0.814628 | + | 0.579984i | \(0.196941\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −8.90006 | − | 2.03138i | −0.333778 | − | 0.0761827i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −10.6416 | − | 22.0975i | −0.398531 | − | 0.827558i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.10574 | − | 8.52566i | 0.153546 | − | 0.318842i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | − | 21.3693i | − | 0.798052i | ||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 16.2410 | − | 20.3656i | 0.605688 | − | 0.759509i | −0.380564 | − | 0.924754i | \(-0.624270\pi\) |
0.986252 | + | 0.165246i | \(0.0528417\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.06220 | − | 5.57892i | −0.0395584 | − | 0.207770i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.63163 | + | 11.6942i | −0.209443 | + | 0.434912i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 19.5314 | − | 24.4916i | 0.725377 | − | 0.909594i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.87310 | − | 7.36464i | −0.217821 | − | 0.273139i | 0.660901 | − | 0.750474i | \(-0.270175\pi\) |
−0.878722 | + | 0.477334i | \(0.841603\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 18.5038 | − | 23.2031i | 0.685327 | − | 0.859372i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −29.5792 | + | 14.2446i | −1.09403 | + | 0.526856i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.32048 | + | 0.757878i | −0.122645 | + | 0.0279929i | −0.283403 | − | 0.959001i | \(-0.591463\pi\) |
0.160758 | + | 0.986994i | \(0.448606\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.81062 | − | 7.11345i | −0.103671 | − | 0.262384i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.81806 | + | 7.96543i | 0.0669690 | + | 0.293410i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.4618 | − | 32.1068i | −0.568772 | − | 1.18107i | −0.964838 | − | 0.262846i | \(-0.915339\pi\) |
0.396066 | − | 0.918222i | \(-0.370375\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 39.1310 | + | 31.2059i | 1.43751 | + | 1.14638i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −40.2744 | + | 32.1178i | −1.47753 | + | 1.17829i | −0.534682 | + | 0.845054i | \(0.679568\pi\) |
−0.942844 | + | 0.333234i | \(0.891860\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.28938 | + | 6.61056i | 0.303700 | + | 0.242192i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.97751 | + | 0.952318i | 0.0723532 | + | 0.0348435i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 24.8410 | + | 21.3280i | 0.907670 | + | 0.779308i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.5100 | + | 10.7739i | 0.492987 | + | 0.393144i | 0.838185 | − | 0.545386i | \(-0.183617\pi\) |
−0.345198 | + | 0.938530i | \(0.612188\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 3.85299 | 0.140411 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.46279 | + | 1.18602i | 0.0896302 | + | 0.0431636i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −16.9022 | + | 8.13966i | −0.614320 | + | 0.295841i | −0.715051 | − | 0.699073i | \(-0.753596\pi\) |
0.100730 | + | 0.994914i | \(0.467882\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 6.05059 | − | 26.5094i | 0.219623 | − | 0.962229i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −18.2606 | − | 37.9185i | −0.661946 | − | 1.37455i | −0.913555 | − | 0.406716i | \(-0.866674\pi\) |
0.251608 | − | 0.967829i | \(-0.419040\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.01895 | − | 3.82023i | 0.0368883 | − | 0.138302i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −1.77225 | −0.0640757 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −11.5187 | + | 23.9188i | −0.415916 | + | 0.863659i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 15.5717 | + | 3.55413i | 0.561529 | + | 0.128165i | 0.493858 | − | 0.869542i | \(-0.335586\pi\) |
0.0676707 | + | 0.997708i | \(0.478443\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 10.9590 | − | 2.50131i | 0.394677 | − | 0.0900825i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 36.3233 | − | 8.29057i | 1.30646 | − | 0.298191i | 0.488045 | − | 0.872819i | \(-0.337710\pi\) |
0.818415 | + | 0.574628i | \(0.194853\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 3.70622 | − | 16.2380i | 0.133131 | − | 0.583287i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 6.91731 | − | 25.9344i | 0.248157 | − | 0.930391i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −68.9095 | + | 54.9535i | −2.46894 | + | 1.96891i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.72871 | − | 8.43753i | −0.240772 | − | 0.301919i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −39.8097 | −1.42268 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −5.64552 | −0.201497 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 27.1158 | + | 34.0021i | 0.966572 | + | 1.21204i | 0.977248 | + | 0.212100i | \(0.0680303\pi\) |
−0.0106758 | + | 0.999943i | \(0.503398\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −25.1910 | + | 20.0892i | −0.896824 | + | 0.715193i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 17.8650 | − | 20.8077i | 0.635208 | − | 0.739835i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.37065 | − | 36.6742i | 0.297251 | − | 1.30234i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −12.6142 | + | 2.87912i | −0.447381 | + | 0.102112i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 19.5452 | − | 4.46107i | 0.692327 | − | 0.158019i | 0.138142 | − | 0.990412i | \(-0.455887\pi\) |
0.554185 | + | 0.832393i | \(0.313030\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 21.2530 | + | 4.85086i | 0.751878 | + | 0.171611i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.05463 | − | 6.34301i | 0.107930 | − | 0.224119i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 37.2740 | 1.31537 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −7.68362 | − | 10.3861i | −0.270812 | − | 0.366060i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.56965 | − | 5.33593i | −0.0904559 | − | 0.187834i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 0.768601 | − | 3.36746i | 0.0270226 | − | 0.118394i | −0.959618 | − | 0.281307i | \(-0.909232\pi\) |
0.986640 | + | 0.162914i | \(0.0520892\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 19.7053 | − | 9.48958i | 0.691948 | − | 0.333224i | −0.0546451 | − | 0.998506i | \(-0.517403\pi\) |
0.746593 | + | 0.665281i | \(0.231688\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.03051 | + | 1.45942i | 0.106285 | + | 0.0511840i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 7.09222 | 0.248430 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 70.8914 | + | 56.5340i | 2.48018 | + | 1.97788i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 4.72008 | − | 8.95561i | 0.164933 | − | 0.312934i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 33.4886 | + | 16.1273i | 1.16876 | + | 0.562845i | 0.914617 | − | 0.404322i | \(-0.132492\pi\) |
0.254143 | + | 0.967167i | \(0.418207\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.4790 | + | 13.1416i | 0.574424 | + | 0.458087i | 0.867107 | − | 0.498122i | \(-0.165977\pi\) |
−0.292683 | + | 0.956209i | \(0.594548\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 14.4367 | − | 11.5129i | 0.502620 | − | 0.400826i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −25.5756 | − | 20.3958i | −0.889350 | − | 0.709233i | 0.0681473 | − | 0.997675i | \(-0.478291\pi\) |
−0.957497 | + | 0.288442i | \(0.906863\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −8.66507 | − | 17.9932i | −0.300950 | − | 0.624930i | 0.694576 | − | 0.719420i | \(-0.255592\pi\) |
−0.995526 | + | 0.0944902i | \(0.969878\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.25720 | − | 9.88942i | −0.0783012 | − | 0.343060i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −19.1780 | + | 2.93552i | −0.664480 | + | 0.101710i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −2.00168 | + | 0.456871i | −0.0692710 | + | 0.0158107i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −19.0702 | + | 9.18374i | −0.659163 | + | 0.317436i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 19.1156 | − | 23.9703i | 0.659945 | − | 0.827545i | −0.333392 | − | 0.942788i | \(-0.608193\pi\) |
0.993337 | + | 0.115243i | \(0.0367647\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.9138 | + | 16.1934i | 0.445304 | + | 0.558394i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 5.57737 | − | 6.99381i | 0.192095 | − | 0.240879i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −2.24940 | + | 4.67092i | −0.0773816 | + | 0.160685i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −7.77576 | − | 0.282040i | −0.267178 | − | 0.00969102i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −21.2619 | + | 26.6616i | −0.729707 | + | 0.915024i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − | 45.3375i | − | 1.55415i | ||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 4.72558 | − | 9.81277i | 0.161801 | − | 0.335983i | −0.804268 | − | 0.594266i | \(-0.797443\pi\) |
0.966069 | + | 0.258283i | \(0.0831568\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 2.12374 | + | 4.40999i | 0.0726304 | + | 0.150819i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −4.85761 | − | 1.10872i | −0.165933 | − | 0.0378730i | 0.138747 | − | 0.990328i | \(-0.455692\pi\) |
−0.304680 | + | 0.952455i | \(0.598550\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −36.2912 | + | 17.4769i | −1.23824 | + | 0.596304i | −0.934334 | − | 0.356398i | \(-0.884005\pi\) |
−0.303904 | + | 0.952703i | \(0.598290\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −33.8372 | − | 29.0519i | −1.15317 | − | 0.990088i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 45.7020i | 1.55571i | 0.628441 | + | 0.777857i | \(0.283693\pi\) | ||||
−0.628441 | + | 0.777857i | \(0.716307\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 16.7673 | + | 8.07470i | 0.570105 | + | 0.274548i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −3.03554 | + | 13.2995i | −0.103092 | + | 0.451676i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.73116 | + | 29.4911i | 0.228339 | + | 1.00042i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.86019 | − | 12.5313i | −0.0969137 | − | 0.424607i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −2.79345 | − | 0.637586i | −0.0945438 | − | 0.0215790i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0.675903 | − | 18.6344i | 0.0228497 | − | 0.629959i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 8.86076 | + | 11.1110i | 0.299206 | + | 0.375193i | 0.908595 | − | 0.417679i | \(-0.137156\pi\) |
−0.609388 | + | 0.792872i | \(0.708585\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −4.92344 | + | 3.92631i | −0.166064 | + | 0.132431i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − | 55.0950i | − | 1.85620i | −0.372332 | − | 0.928099i | \(-0.621442\pi\) | ||
0.372332 | − | 0.928099i | \(-0.378558\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 3.88004i | 0.130574i | 0.997867 | + | 0.0652869i | \(0.0207963\pi\) | ||||
−0.997867 | + | 0.0652869i | \(0.979204\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 5.07804 | − | 4.04960i | 0.170696 | − | 0.136126i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 7.87252 | + | 9.87183i | 0.264333 | + | 0.331464i | 0.896231 | − | 0.443589i | \(-0.146295\pi\) |
−0.631897 | + | 0.775052i | \(0.717723\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.7394 | + | 13.1237i | −0.594961 | + | 0.440153i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −15.7642 | − | 3.59808i | −0.528121 | − | 0.120540i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −13.3975 | − | 58.6981i | −0.448329 | − | 1.96426i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −1.15335 | − | 5.05317i | −0.0385523 | − | 0.168909i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −9.51885 | + | 41.7048i | −0.317825 | + | 1.39248i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 23.8138 | + | 11.4681i | 0.794236 | + | 0.382484i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 32.8202i | 1.09340i | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −21.3921 | + | 40.5883i | −0.711886 | + | 1.35069i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 7.95324 | − | 3.83008i | 0.264375 | − | 0.127316i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.2535 | − | 3.48150i | −0.506483 | − | 0.115601i | −0.0383587 | − | 0.999264i | \(-0.512213\pi\) |
−0.468124 | + | 0.883663i | \(0.655070\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −0.914915 | − | 1.89984i | −0.0303458 | − | 0.0630137i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 13.8819 | − | 28.8260i | 0.459927 | − | 0.955049i | −0.534049 | − | 0.845454i | \(-0.679330\pi\) |
0.993976 | − | 0.109595i | \(-0.0349555\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − | 7.27289i | − | 0.240698i | ||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | −5.73813 | + | 7.19538i | −0.189697 | + | 0.237872i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 18.9401 | − | 8.28927i | 0.625456 | − | 0.273736i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −23.6354 | + | 49.0794i | −0.779660 | + | 1.61898i | 0.00573224 | + | 0.999984i | \(0.498175\pi\) |
−0.785393 | + | 0.618998i | \(0.787539\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.58305 | + | 4.49300i | −0.118066 | + | 0.148050i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 10.5857 | + | 13.2740i | 0.348432 | + | 0.436920i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 19.1961 | − | 24.0712i | 0.631165 | − | 0.791456i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −1.65687 | + | 0.797905i | −0.0544187 | + | 0.0262066i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 29.4374 | − | 6.71889i | 0.965809 | − | 0.220440i | 0.289599 | − | 0.957148i | \(-0.406478\pi\) |
0.676211 | + | 0.736708i | \(0.263621\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 30.2863 | + | 44.2042i | 0.992593 | + | 1.44873i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 3.79801 | + | 16.6402i | 0.124341 | + | 0.544774i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 2.54798 | + | 5.29094i | 0.0833279 | + | 0.173032i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 25.9883 | + | 20.7249i | 0.848999 | + | 0.677054i | 0.948082 | − | 0.318025i | \(-0.103020\pi\) |
−0.0990830 | + | 0.995079i | \(0.531591\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −6.32002 | + | 5.04005i | −0.206246 | + | 0.164476i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −11.0991 | − | 8.85126i | −0.361821 | − | 0.288543i | 0.425658 | − | 0.904884i | \(-0.360043\pi\) |
−0.787479 | + | 0.616341i | \(0.788614\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −67.8706 | − | 32.6848i | −2.21017 | − | 1.06436i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.96320 | + | 6.63099i | −0.291573 | + | 0.215706i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −16.4689 | − | 13.1335i | −0.535168 | − | 0.426782i | 0.318252 | − | 0.948006i | \(-0.396904\pi\) |
−0.853420 | + | 0.521224i | \(0.825476\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −58.6398 | −1.90353 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 25.6023 | + | 12.3294i | 0.830210 | + | 0.399808i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −22.8440 | + | 11.0011i | −0.739990 | + | 0.356360i | −0.765605 | − | 0.643312i | \(-0.777560\pi\) |
0.0256146 | + | 0.999672i | \(0.491846\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.37091 | − | 10.3876i | 0.0767209 | − | 0.336136i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.7141 | + | 26.4012i | 0.410989 | + | 0.853428i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 50.0440 | − | 21.9022i | 1.61601 | − | 0.707258i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.9468 | −0.546669 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 4.60000 | − | 9.55200i | 0.148233 | − | 0.307809i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −10.7261 | − | 2.44817i | −0.345286 | − | 0.0788092i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.4090 | − | 4.20173i | 0.591993 | − | 0.135118i | 0.0839791 | − | 0.996468i | \(-0.473237\pi\) |
0.508014 | + | 0.861349i | \(0.330380\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −30.2820 | + | 6.91167i | −0.972798 | + | 0.222035i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 5.15127 | − | 22.5692i | 0.165312 | − | 0.724279i | −0.822518 | − | 0.568740i | \(-0.807431\pi\) |
0.987830 | − | 0.155540i | \(-0.0497116\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −9.56704 | − | 50.2482i | −0.306705 | − | 1.61088i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | −22.7119 | + | 18.1121i | −0.727363 | + | 0.580053i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −12.9016 | − | 16.1781i | −0.412759 | − | 0.517583i | 0.531379 | − | 0.847134i | \(-0.321674\pi\) |
−0.944138 | + | 0.329551i | \(0.893103\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −23.3284 | −0.745578 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.28029 | −0.0408766 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −20.1774 | − | 25.3017i | −0.643560 | − | 0.806999i | 0.347883 | − | 0.937538i | \(-0.386901\pi\) |
−0.991443 | + | 0.130539i | \(0.958329\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −7.86339 | + | 6.27084i | −0.250548 | + | 0.199806i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 27.9091 | − | 12.2146i | 0.888355 | − | 0.388796i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −17.2448 | + | 75.5544i | −0.548353 | + | 2.40249i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 19.7064 | − | 4.49786i | 0.625994 | − | 0.142879i | 0.102256 | − | 0.994758i | \(-0.467394\pi\) |
0.523739 | + | 0.851879i | \(0.324537\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 10.3619 | − | 2.36504i | 0.328825 | − | 0.0750521i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 6.35929 | + | 1.45147i | 0.201603 | + | 0.0460146i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 9.01881 | − | 18.7278i | 0.285629 | − | 0.593114i | −0.707949 | − | 0.706263i | \(-0.750380\pi\) |
0.993578 | + | 0.113149i | \(0.0360938\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −39.1264 | −1.23790 |
(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 | 784.2.bb.b.111.14 | yes | 120 | |
4.3 | odd | 2 | inner | 784.2.bb.b.111.7 | ✓ | 120 | |
49.34 | odd | 14 | inner | 784.2.bb.b.671.7 | yes | 120 | |
196.83 | even | 14 | inner | 784.2.bb.b.671.14 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
784.2.bb.b.111.7 | ✓ | 120 | 4.3 | odd | 2 | inner | |
784.2.bb.b.111.14 | yes | 120 | 1.1 | even | 1 | trivial | |
784.2.bb.b.671.7 | yes | 120 | 49.34 | odd | 14 | inner | |
784.2.bb.b.671.14 | yes | 120 | 196.83 | even | 14 | inner |