Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(97,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.y (of order \(9\), 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(54\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 193.5 | ||
Character | \(\chi\) | \(=\) | 864.193 |
Dual form | 864.2.y.c.385.5 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
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 | ||||||||
\(3\) | 0.0599758 | − | 1.73101i | 0.0346270 | − | 0.999400i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0.392840 | − | 2.22791i | 0.175683 | − | 0.996350i | −0.761669 | − | 0.647966i | \(-0.775620\pi\) |
0.937352 | − | 0.348383i | \(-0.113269\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.55853 | − | 2.98596i | 1.34500 | − | 1.12859i | 0.364686 | − | 0.931130i | \(-0.381176\pi\) |
0.980312 | − | 0.197457i | \(-0.0632682\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.99281 | − | 0.207638i | −0.997602 | − | 0.0692125i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.0857584 | − | 0.486360i | −0.0258571 | − | 0.146643i | 0.969146 | − | 0.246488i | \(-0.0792765\pi\) |
−0.995003 | + | 0.0998447i | \(0.968165\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.29725 | + | 0.472162i | −0.359794 | + | 0.130954i | −0.515591 | − | 0.856835i | \(-0.672428\pi\) |
0.155797 | + | 0.987789i | \(0.450205\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −3.83297 | − | 0.813631i | −0.989669 | − | 0.210079i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 2.34912 | − | 4.06879i | 0.569745 | − | 0.986827i | −0.426846 | − | 0.904324i | \(-0.640375\pi\) |
0.996591 | − | 0.0825025i | \(-0.0262913\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.368407 | + | 0.638099i | 0.0845183 | + | 0.146390i | 0.905186 | − | 0.425016i | \(-0.139732\pi\) |
−0.820668 | + | 0.571406i | \(0.806398\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −4.95531 | − | 6.33894i | −1.08134 | − | 1.38327i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.71710 | + | 3.11901i | 0.775068 | + | 0.650359i | 0.942001 | − | 0.335609i | \(-0.108942\pi\) |
−0.166933 | + | 0.985968i | \(0.553386\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.110777 | − | 0.0403195i | −0.0221554 | − | 0.00806391i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.538919 | + | 5.16813i | −0.103715 | + | 0.994607i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −6.04895 | − | 2.20164i | −1.12326 | − | 0.408834i | −0.287420 | − | 0.957805i | \(-0.592798\pi\) |
−0.835842 | + | 0.548971i | \(0.815020\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 7.95399 | + | 6.67419i | 1.42858 | + | 1.19872i | 0.946547 | + | 0.322567i | \(0.104546\pi\) |
0.482033 | + | 0.876153i | \(0.339899\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −0.847039 | + | 0.119279i | −0.147451 | + | 0.0207638i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −5.25451 | − | 9.10107i | −0.888174 | − | 1.53836i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.34064 | + | 5.78616i | −0.549198 | + | 0.951238i | 0.449132 | + | 0.893465i | \(0.351733\pi\) |
−0.998330 | + | 0.0577728i | \(0.981600\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.739514 | + | 2.27388i | 0.118417 | + | 0.364112i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −6.29948 | + | 2.29282i | −0.983814 | + | 0.358079i | −0.783322 | − | 0.621617i | \(-0.786476\pi\) |
−0.200492 | + | 0.979695i | \(0.564254\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.00111724 | + | 0.00633619i | 0.000170378 | + | 0.000966260i | 0.984893 | − | 0.173165i | \(-0.0553994\pi\) |
−0.984722 | + | 0.174131i | \(0.944288\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.63829 | + | 6.58612i | −0.244222 | + | 0.981801i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −7.24088 | + | 6.07582i | −1.05619 | + | 0.886249i | −0.993731 | − | 0.111798i | \(-0.964339\pi\) |
−0.0624597 | + | 0.998047i | \(0.519894\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.53163 | − | 14.3576i | 0.361662 | − | 2.05109i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.90224 | − | 4.31038i | −0.966506 | − | 0.603574i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 4.89390 | 0.672229 | 0.336115 | − | 0.941821i | \(-0.390887\pi\) | ||||
0.336115 | + | 0.941821i | \(0.390887\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.11725 | −0.150651 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.12665 | − | 0.599446i | 0.149229 | − | 0.0793986i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.96490 | − | 11.1435i | 0.255809 | − | 1.45076i | −0.538180 | − | 0.842830i | \(-0.680888\pi\) |
0.793989 | − | 0.607932i | \(-0.208001\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.09432 | + | 4.27464i | −0.652261 | + | 0.547312i | −0.907756 | − | 0.419498i | \(-0.862206\pi\) |
0.255495 | + | 0.966810i | \(0.417762\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −11.2700 | + | 8.19752i | −1.41988 | + | 1.03279i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.542319 | + | 3.07564i | 0.0672664 | + | 0.381487i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 6.31410 | − | 2.29815i | 0.771390 | − | 0.280763i | 0.0738125 | − | 0.997272i | \(-0.476483\pi\) |
0.697578 | + | 0.716509i | \(0.254261\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 5.62199 | − | 6.24727i | 0.676808 | − | 0.752083i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.36994 | − | 7.56897i | 0.518617 | − | 0.898271i | −0.481149 | − | 0.876639i | \(-0.659780\pi\) |
0.999766 | − | 0.0216322i | \(-0.00688627\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.06930 | − | 13.9764i | −0.944440 | − | 1.63582i | −0.756868 | − | 0.653568i | \(-0.773271\pi\) |
−0.187573 | − | 0.982251i | \(-0.560062\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −0.0764375 | + | 0.189338i | −0.00882625 | + | 0.0218629i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −1.75743 | − | 1.47466i | −0.200277 | − | 0.168053i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.82331 | + | 1.39157i | 0.430156 | + | 0.156564i | 0.548019 | − | 0.836466i | \(-0.315382\pi\) |
−0.117863 | + | 0.993030i | \(0.537604\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 8.91377 | + | 1.24284i | 0.990419 | + | 0.138093i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −1.25679 | − | 0.457434i | −0.137951 | − | 0.0502100i | 0.272122 | − | 0.962263i | \(-0.412275\pi\) |
−0.410073 | + | 0.912053i | \(0.634497\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.14206 | − | 6.83200i | −0.883130 | − | 0.741034i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −4.17385 | + | 10.3388i | −0.447484 | + | 1.10843i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −1.21254 | − | 2.10019i | −0.128529 | − | 0.222619i | 0.794578 | − | 0.607163i | \(-0.207692\pi\) |
−0.923107 | + | 0.384543i | \(0.874359\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −3.20646 | + | 5.55375i | −0.336129 | + | 0.582192i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 12.0302 | − | 13.3682i | 1.24747 | − | 1.38621i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 1.56635 | − | 0.570105i | 0.160704 | − | 0.0584915i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1.94180 | + | 11.0125i | 0.197160 | + | 1.11815i | 0.909309 | + | 0.416122i | \(0.136611\pi\) |
−0.712149 | + | 0.702029i | \(0.752278\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.155672 | + | 1.47339i | 0.0156456 | + | 0.148081i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.72429 | + | 6.48145i | −0.768596 | + | 0.644928i | −0.940349 | − | 0.340212i | \(-0.889501\pi\) |
0.171753 | + | 0.985140i | \(0.445057\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.63208 | + | 9.25601i | −0.160814 | + | 0.912022i | 0.792462 | + | 0.609921i | \(0.208799\pi\) |
−0.953276 | + | 0.302100i | \(0.902312\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −16.0692 | + | 8.54977i | −1.56819 | + | 0.834372i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.86301 | −0.373451 | −0.186726 | − | 0.982412i | \(-0.559788\pi\) | ||||
−0.186726 | + | 0.982412i | \(0.559788\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 17.7973 | 1.70467 | 0.852334 | − | 0.522998i | \(-0.175186\pi\) | ||||
0.852334 | + | 0.522998i | \(0.175186\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 9.81555 | + | 6.12971i | 0.931651 | + | 0.581807i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −2.75210 | + | 15.6080i | −0.258896 | + | 1.46827i | 0.526974 | + | 0.849881i | \(0.323326\pi\) |
−0.785870 | + | 0.618391i | \(0.787785\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.40909 | − | 7.05607i | 0.784152 | − | 0.657982i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 3.98047 | − | 1.14373i | 0.367995 | − | 0.105738i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −3.78985 | − | 21.4933i | −0.347415 | − | 1.97029i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.1074 | − | 3.67880i | 0.918857 | − | 0.334437i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.59109 | + | 11.0420i | 0.323798 | + | 0.995623i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 5.52234 | − | 9.56497i | 0.493933 | − | 0.855517i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 2.08119 | + | 3.60472i | 0.184675 | + | 0.319867i | 0.943467 | − | 0.331466i | \(-0.107543\pi\) |
−0.758792 | + | 0.651333i | \(0.774210\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0.0110350 | − | 0.00155394i | 0.000971580 | − | 0.000136817i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −4.03252 | − | 3.38368i | −0.352323 | − | 0.295634i | 0.449399 | − | 0.893331i | \(-0.351638\pi\) |
−0.801722 | + | 0.597697i | \(0.796083\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.21633 | + | 1.17065i | 0.278891 | + | 0.101508i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 11.3024 | + | 3.23091i | 0.972755 | + | 0.278072i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 7.75659 | + | 2.82317i | 0.662690 | + | 0.241200i | 0.651398 | − | 0.758737i | \(-0.274183\pi\) |
0.0112930 | + | 0.999936i | \(0.496405\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.67895 | − | 1.40881i | −0.142407 | − | 0.119493i | 0.568802 | − | 0.822475i | \(-0.307407\pi\) |
−0.711208 | + | 0.702981i | \(0.751852\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.0830 | + | 12.8984i | 0.849145 | + | 1.08625i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0.340891 | + | 0.590441i | 0.0285068 | + | 0.0493752i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.28131 | + | 12.6116i | −0.604680 | + | 1.04734i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −24.7014 | − | 5.24340i | −2.03733 | − | 0.432468i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −4.43117 | + | 1.61281i | −0.363016 | + | 0.132127i | −0.517087 | − | 0.855933i | \(-0.672984\pi\) |
0.154071 | + | 0.988060i | \(0.450761\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.46982 | + | 14.0070i | 0.200991 | + | 1.13988i | 0.903625 | + | 0.428325i | \(0.140896\pi\) |
−0.702634 | + | 0.711552i | \(0.747993\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −7.87529 | + | 11.6893i | −0.636679 | + | 0.945027i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 17.9941 | − | 15.0989i | 1.44532 | − | 1.21277i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.73600 | + | 9.84533i | −0.138548 | + | 0.785743i | 0.833776 | + | 0.552103i | \(0.186175\pi\) |
−0.972323 | + | 0.233639i | \(0.924936\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0.293516 | − | 8.47140i | 0.0232773 | − | 0.671826i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 22.5407 | 1.77645 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 14.6667 | 1.14878 | 0.574392 | − | 0.818580i | \(-0.305238\pi\) | ||||
0.574392 | + | 0.818580i | \(0.305238\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −0.0670082 | + | 1.93398i | −0.00521658 | + | 0.150560i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 3.01907 | − | 17.1220i | 0.233623 | − | 1.32494i | −0.611873 | − | 0.790956i | \(-0.709583\pi\) |
0.845495 | − | 0.533983i | \(-0.179305\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.49865 | + | 7.13121i | −0.653742 | + | 0.548555i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −0.970077 | − | 1.98620i | −0.0741836 | − | 0.151889i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −3.57227 | − | 20.2594i | −0.271595 | − | 1.54029i | −0.749574 | − | 0.661920i | \(-0.769742\pi\) |
0.477979 | − | 0.878371i | \(-0.341369\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.514596 | + | 0.187298i | −0.0388998 | + | 0.0141584i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −19.1717 | − | 4.06961i | −1.44103 | − | 0.305891i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3.72621 | − | 6.45399i | 0.278510 | − | 0.482394i | −0.692505 | − | 0.721413i | \(-0.743493\pi\) |
0.971015 | + | 0.239020i | \(0.0768261\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 9.06049 | + | 15.6932i | 0.673461 | + | 1.16647i | 0.976916 | + | 0.213623i | \(0.0685264\pi\) |
−0.303455 | + | 0.952846i | \(0.598140\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 7.09392 | + | 9.07471i | 0.524398 | + | 0.670822i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 11.5787 | + | 9.71566i | 0.851281 | + | 0.714309i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.18036 | − | 0.793584i | −0.159443 | − | 0.0580326i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 13.5141 | + | 20.0001i | 0.983004 | + | 1.45480i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −2.86526 | − | 1.04287i | −0.207323 | − | 0.0754593i | 0.236271 | − | 0.971687i | \(-0.424075\pi\) |
−0.443594 | + | 0.896228i | \(0.646297\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.37182 | − | 7.02479i | −0.602617 | − | 0.505656i | 0.289669 | − | 0.957127i | \(-0.406455\pi\) |
−0.892286 | + | 0.451471i | \(0.850899\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 5.35650 | − | 0.754297i | 0.383587 | − | 0.0540163i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 4.77836 | + | 8.27636i | 0.340444 | + | 0.589666i | 0.984515 | − | 0.175299i | \(-0.0560893\pi\) |
−0.644071 | + | 0.764966i | \(0.722756\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 11.0292 | − | 19.1032i | 0.781841 | − | 1.35419i | −0.149028 | − | 0.988833i | \(-0.547614\pi\) |
0.930868 | − | 0.365355i | \(-0.119052\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.59942 | − | 11.0676i | −0.253884 | − | 0.780650i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −28.0994 | + | 10.2273i | −1.97219 | + | 0.717818i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.63351 | + | 14.9354i | 0.183932 | + | 1.04313i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −10.4769 | − | 10.1064i | −0.728196 | − | 0.702444i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 0.278752 | − | 0.233901i | 0.0192817 | − | 0.0161793i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 4.44996 | − | 25.2370i | 0.306348 | − | 1.73739i | −0.310743 | − | 0.950494i | \(-0.600578\pi\) |
0.617091 | − | 0.786892i | \(-0.288311\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −12.8399 | − | 8.01838i | −0.879774 | − | 0.549410i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0.0145553 | 0.000992665 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 48.2334 | 3.27430 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −24.6774 | + | 13.1298i | −1.66754 | + | 0.887231i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.12627 | + | 6.38742i | −0.0757614 | + | 0.429664i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.58235 | + | 3.84504i | −0.306857 | + | 0.257483i | −0.783191 | − | 0.621781i | \(-0.786409\pi\) |
0.476335 | + | 0.879264i | \(0.341965\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.323162 | + | 0.143670i | 0.0215441 | + | 0.00957800i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.97026 | + | 22.5165i | 0.263516 | + | 1.49447i | 0.773229 | + | 0.634127i | \(0.218640\pi\) |
−0.509713 | + | 0.860344i | \(0.670249\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.753045 | + | 0.274086i | −0.0497626 | + | 0.0181121i | −0.366782 | − | 0.930307i | \(-0.619540\pi\) |
0.317019 | + | 0.948419i | \(0.397318\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −2.65805 | + | 2.95368i | −0.174887 | + | 0.194338i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 3.74421 | − | 6.48516i | 0.245291 | − | 0.424857i | −0.716922 | − | 0.697153i | \(-0.754450\pi\) |
0.962213 | + | 0.272296i | \(0.0877830\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 10.6918 | + | 18.5188i | 0.697459 | + | 1.20803i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 2.63813 | − | 6.53474i | 0.171365 | − | 0.424477i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 5.58510 | + | 4.68646i | 0.361270 | + | 0.303142i | 0.805297 | − | 0.592872i | \(-0.202006\pi\) |
−0.444027 | + | 0.896014i | \(0.646450\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −7.45569 | − | 2.71365i | −0.480263 | − | 0.174802i | 0.0905327 | − | 0.995893i | \(-0.471143\pi\) |
−0.570796 | + | 0.821092i | \(0.693365\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 2.68598 | − | 15.3553i | 0.172306 | − | 0.985044i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −30.9929 | − | 11.2805i | −1.98006 | − | 0.720684i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.779204 | − | 0.653829i | −0.0495795 | − | 0.0416022i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.867202 | + | 2.14808i | −0.0549567 | + | 0.136129i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.83632 | + | 15.3050i | 0.557744 | + | 0.966041i | 0.997684 | + | 0.0680138i | \(0.0216662\pi\) |
−0.439941 | + | 0.898027i | \(0.645000\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.19819 | − | 2.07533i | 0.0753297 | − | 0.130475i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −12.3146 | + | 13.6842i | −0.771170 | + | 0.856940i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 25.4726 | − | 9.27126i | 1.58894 | − | 0.578326i | 0.611814 | − | 0.791002i | \(-0.290440\pi\) |
0.977123 | + | 0.212676i | \(0.0682179\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 5.38947 | + | 30.5652i | 0.334886 | + | 1.89923i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 17.6462 | + | 7.84506i | 1.09227 | + | 0.485597i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.925393 | + | 0.776497i | −0.0570622 | + | 0.0478808i | −0.670873 | − | 0.741573i | \(-0.734080\pi\) |
0.613811 | + | 0.789453i | \(0.289636\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.92252 | − | 10.9032i | 0.118099 | − | 0.669775i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −3.70817 | + | 1.97297i | −0.226936 | + | 0.120744i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −10.8066 | −0.658891 | −0.329446 | − | 0.944175i | \(-0.606862\pi\) | ||||
−0.329446 | + | 0.944175i | \(0.606862\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 17.5515 | 1.06618 | 0.533088 | − | 0.846060i | \(-0.321031\pi\) | ||||
0.533088 | + | 0.846060i | \(0.321031\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 9.42131 | + | 5.88351i | 0.570203 | + | 0.356087i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.0101098 | + | 0.0573353i | −0.000609641 | + | 0.00345745i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −11.8531 | + | 9.94592i | −0.712183 | + | 0.597592i | −0.925211 | − | 0.379454i | \(-0.876112\pi\) |
0.213028 | + | 0.977046i | \(0.431668\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −22.4189 | − | 21.6261i | −1.34219 | − | 1.29472i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1.02603 | − | 5.81889i | −0.0612076 | − | 0.347126i | −0.999997 | − | 0.00263273i | \(-0.999162\pi\) |
0.938789 | − | 0.344493i | \(-0.111949\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −11.6778 | + | 4.25037i | −0.694173 | + | 0.252658i | −0.664921 | − | 0.746914i | \(-0.731535\pi\) |
−0.0292522 | + | 0.999572i | \(0.509313\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −0.892915 | − | 2.74556i | −0.0528917 | − | 0.162633i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −15.5706 | + | 26.9691i | −0.919104 | + | 1.59193i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.53671 | − | 4.39371i | −0.149218 | − | 0.258453i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 19.1792 | − | 2.70080i | 1.12431 | − | 0.158324i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 16.4638 | + | 13.8148i | 0.961826 | + | 0.807068i | 0.981249 | − | 0.192744i | \(-0.0617386\pi\) |
−0.0194235 | + | 0.999811i | \(0.506183\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −24.0548 | − | 8.75524i | −1.40053 | − | 0.509749i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 2.55979 | − | 0.181102i | 0.148534 | − | 0.0105086i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −6.29470 | − | 2.29108i | −0.364032 | − | 0.132497i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.0228954 | + | 0.0192115i | 0.00131967 | + | 0.00110733i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 10.7562 | + | 13.7596i | 0.617927 | + | 0.790467i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 7.52225 | + | 13.0289i | 0.430723 | + | 0.746034i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.37441 | + | 7.57669i | −0.249661 | + | 0.432425i | −0.963432 | − | 0.267954i | \(-0.913652\pi\) |
0.713771 | + | 0.700379i | \(0.246986\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 15.9244 | + | 3.38029i | 0.905906 | + | 0.192298i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −10.6679 | + | 3.88280i | −0.604921 | + | 0.220173i | −0.626279 | − | 0.779599i | \(-0.715423\pi\) |
0.0213585 | + | 0.999772i | \(0.493201\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.87957 | − | 22.0021i | −0.219286 | − | 1.24363i | −0.873312 | − | 0.487162i | \(-0.838032\pi\) |
0.654026 | − | 0.756472i | \(-0.273079\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 13.8360 | + | 28.3288i | 0.779570 | + | 1.59615i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.18327 | − | 4.34928i | 0.291122 | − | 0.244280i | −0.485516 | − | 0.874228i | \(-0.661368\pi\) |
0.776637 | + | 0.629948i | \(0.216924\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.552041 | + | 3.13078i | −0.0309083 | + | 0.175290i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −0.231687 | + | 6.68692i | −0.0129315 | + | 0.373227i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.46172 | 0.192615 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.162743 | 0.00902738 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 1.06740 | − | 30.8073i | 0.0590276 | − | 1.70365i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −7.62472 | + | 43.2420i | −0.420365 | + | 2.38401i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 16.5564 | − | 13.8925i | 0.910021 | − | 0.763598i | −0.0621018 | − | 0.998070i | \(-0.519780\pi\) |
0.972123 | + | 0.234471i | \(0.0753359\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 11.1993 | − | 16.6232i | 0.613718 | − | 0.910946i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −2.63962 | − | 14.9700i | −0.144218 | − | 0.817900i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −24.1627 | + | 8.79450i | −1.31623 | + | 0.479067i | −0.902247 | − | 0.431219i | \(-0.858084\pi\) |
−0.413979 | + | 0.910286i | \(0.635861\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 26.8525 | + | 5.70002i | 1.45843 | + | 0.309583i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.56394 | − | 4.44087i | 0.138845 | − | 0.240487i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −17.6037 | − | 30.4905i | −0.950511 | − | 1.64633i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −11.7098 | − | 14.9794i | −0.630434 | − | 0.806466i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 6.02970 | + | 5.05952i | 0.323691 | + | 0.271609i | 0.790123 | − | 0.612948i | \(-0.210016\pi\) |
−0.466432 | + | 0.884557i | \(0.654461\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −32.0098 | − | 11.6506i | −1.71345 | − | 0.623643i | −0.716206 | − | 0.697889i | \(-0.754123\pi\) |
−0.997240 | + | 0.0742458i | \(0.976345\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.74108 | − | 6.95884i | −0.0929319 | − | 0.371435i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −33.7248 | − | 12.2748i | −1.79499 | − | 0.653322i | −0.998836 | − | 0.0482262i | \(-0.984643\pi\) |
−0.796152 | − | 0.605096i | \(-0.793135\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −15.1463 | − | 12.7092i | −0.803880 | − | 0.674535i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −37.4324 | + | 5.27119i | −1.98114 | + | 0.278981i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 7.11161 | + | 12.3177i | 0.375337 | + | 0.650102i | 0.990377 | − | 0.138393i | \(-0.0441938\pi\) |
−0.615041 | + | 0.788495i | \(0.710860\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.22855 | − | 15.9843i | 0.485713 | − | 0.841280i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −5.76185 | − | 17.7167i | −0.302419 | − | 0.929887i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −34.3081 | + | 12.4871i | −1.79577 | + | 0.653607i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 0.983240 | + | 5.57623i | 0.0513247 | + | 0.291077i | 0.999657 | − | 0.0262031i | \(-0.00834166\pi\) |
−0.948332 | + | 0.317280i | \(0.897231\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 19.3292 | − | 5.55397i | 1.00624 | − | 0.289128i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 17.4151 | − | 14.6130i | 0.904147 | − | 0.758669i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.71024 | − | 32.3844i | 0.295665 | − | 1.67680i | −0.368822 | − | 0.929500i | \(-0.620239\pi\) |
0.664487 | − | 0.747300i | \(-0.268650\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −16.2259 | − | 10.1329i | −0.837901 | − | 0.523261i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 8.88656 | 0.457681 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −25.2534 | −1.29718 | −0.648591 | − | 0.761137i | \(-0.724641\pi\) | ||||
−0.648591 | + | 0.761137i | \(0.724641\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 6.36463 | − | 3.38636i | 0.326070 | − | 0.173489i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.31166 | − | 7.43879i | 0.0670226 | − | 0.380104i | −0.932784 | − | 0.360436i | \(-0.882628\pi\) |
0.999807 | − | 0.0196682i | \(-0.00626099\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.97578 | + | 3.33608i | −0.202625 | + | 0.170022i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −0.00202805 | − | 0.0191950i | −0.000103092 | − | 0.000975735i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.0534572 | + | 0.303171i | 0.00271039 | + | 0.0153714i | 0.986133 | − | 0.165957i | \(-0.0530714\pi\) |
−0.983423 | + | 0.181329i | \(0.941960\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 21.4225 | − | 7.79716i | 1.08338 | − | 0.394319i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.09905 | + | 6.77740i | −0.307656 | + | 0.341875i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 4.60224 | − | 7.97131i | 0.231564 | − | 0.401080i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.90379 | + | 13.6898i | 0.396680 | + | 0.687070i | 0.993314 | − | 0.115444i | \(-0.0368290\pi\) |
−0.596634 | + | 0.802513i | \(0.703496\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 2.21931 | − | 5.49729i | 0.111104 | − | 0.275209i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −4.01983 | − | 3.37304i | −0.200741 | − | 0.168442i | 0.536876 | − | 0.843661i | \(-0.319604\pi\) |
−0.737617 | + | 0.675220i | \(0.764049\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.4697 | − | 4.90255i | −0.670971 | − | 0.244214i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 6.27061 | − | 19.3708i | 0.311589 | − | 0.962543i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 3.10064 | + | 1.12854i | 0.153693 | + | 0.0559398i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −14.6135 | − | 12.2622i | −0.722589 | − | 0.606324i | 0.205511 | − | 0.978655i | \(-0.434114\pi\) |
−0.928100 | + | 0.372330i | \(0.878559\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.35215 | − | 13.2574i | 0.264002 | − | 0.653941i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −26.2819 | − | 45.5217i | −1.29325 | − | 2.23997i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.51284 | + | 2.62031i | −0.0742623 | + | 0.128626i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −2.53936 | + | 2.82179i | −0.124353 | + | 0.138184i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.36859 | + | 0.862098i | −0.115713 | + | 0.0421162i | −0.399228 | − | 0.916852i | \(-0.630722\pi\) |
0.283515 | + | 0.958968i | \(0.408500\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.18072 | + | 18.0388i | 0.155019 | + | 0.879155i | 0.958769 | + | 0.284188i | \(0.0917240\pi\) |
−0.803750 | + | 0.594968i | \(0.797165\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 22.9321 | − | 16.6803i | 1.11500 | − | 0.811022i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −0.424280 | + | 0.356013i | −0.0205806 | + | 0.0172692i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.36438 | + | 30.4229i | −0.259600 | + | 1.47227i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 1.04251 | − | 0.554675i | 0.0503327 | − | 0.0267800i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 18.4805 | 0.890174 | 0.445087 | − | 0.895487i | \(-0.353173\pi\) | ||||
0.445087 | + | 0.895487i | \(0.353173\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 10.1685 | 0.488665 | 0.244333 | − | 0.969691i | \(-0.421431\pi\) | ||||
0.244333 | + | 0.969691i | \(0.421431\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 21.3941 | + | 13.3604i | 1.02577 | + | 0.640583i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −0.620837 | + | 3.52094i | −0.0296987 | + | 0.168430i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 16.0560 | − | 13.4726i | 0.766311 | − | 0.643011i | −0.173451 | − | 0.984843i | \(-0.555492\pi\) |
0.939761 | + | 0.341832i | \(0.111047\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −10.5579 | + | 42.4439i | −0.502756 | + | 2.02114i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 6.71710 | + | 38.0946i | 0.319139 | + | 1.80993i | 0.548011 | + | 0.836471i | \(0.315385\pi\) |
−0.228872 | + | 0.973457i | \(0.573504\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.15535 | + | 1.87639i | −0.244387 | + | 0.0889496i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.52604 | + | 7.76714i | 0.119478 | + | 0.367373i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −1.82208 | + | 3.15593i | −0.0859893 | + | 0.148938i | −0.905812 | − | 0.423679i | \(-0.860738\pi\) |
0.819823 | + | 0.572617i | \(0.194072\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.65537 | + | 2.86719i | 0.0779484 | + | 0.135011i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 24.3945 | − | 3.43520i | 1.14615 | − | 0.161400i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 11.1136 | + | 9.32543i | 0.521014 | + | 0.437183i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −9.50969 | − | 3.46124i | −0.444845 | − | 0.161910i | 0.109879 | − | 0.993945i | \(-0.464954\pi\) |
−0.554723 | + | 0.832035i | \(0.687176\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 19.7621 | + | 14.3333i | 0.922414 | + | 0.669021i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 13.1036 | + | 4.76931i | 0.610295 | + | 0.222129i | 0.628632 | − | 0.777703i | \(-0.283615\pi\) |
−0.0183375 | + | 0.999832i | \(0.505837\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.36922 | − | 2.82711i | −0.156581 | − | 0.131387i | 0.561131 | − | 0.827727i | \(-0.310366\pi\) |
−0.717712 | + | 0.696340i | \(0.754811\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −25.0571 | − | 32.0536i | −1.16199 | − | 1.48645i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −21.1566 | − | 36.6443i | −0.979010 | − | 1.69569i | −0.666012 | − | 0.745941i | \(-0.732000\pi\) |
−0.312997 | − | 0.949754i | \(-0.601333\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 15.6067 | − | 27.0317i | 0.720653 | − | 1.24821i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 16.9383 | + | 3.59551i | 0.780474 | + | 0.165673i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 0.00298586 | − | 0.00108676i | 0.000137290 | − | 4.99694e-5i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.0150831 | − | 0.0855407i | −0.000692062 | − | 0.00392488i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −14.6465 | − | 1.01616i | −0.670617 | − | 0.0465267i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −28.3497 | + | 23.7882i | −1.29533 | + | 1.08691i | −0.304397 | + | 0.952545i | \(0.598455\pi\) |
−0.990932 | + | 0.134365i | \(0.957101\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.60166 | − | 9.08344i | 0.0730292 | − | 0.414169i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.35189 | − | 39.0181i | 0.0615133 | − | 1.77539i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 25.2976 | 1.14871 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.6561 | −0.754762 | −0.377381 | − | 0.926058i | \(-0.623175\pi\) | ||||
−0.377381 | + | 0.926058i | \(0.623175\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0.879647 | − | 25.3882i | 0.0397790 | − | 1.14810i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −5.32604 | + | 30.2055i | −0.240361 | + | 1.36315i | 0.590663 | + | 0.806918i | \(0.298866\pi\) |
−0.831024 | + | 0.556236i | \(0.812245\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −23.1677 | + | 19.4400i | −1.04342 | + | 0.875534i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 3.34372 | + | 0.231984i | 0.150289 | + | 0.0104269i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −7.05006 | − | 39.9829i | −0.316238 | − | 1.79348i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.7046 | + | 4.98805i | −0.613501 | + | 0.223296i | −0.630034 | − | 0.776567i | \(-0.716959\pi\) |
0.0165336 | + | 0.999863i | \(0.494737\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −29.4573 | − | 6.25295i | −1.31606 | − | 0.279361i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −1.88683 | + | 3.26809i | −0.0841296 | + | 0.145717i | −0.905020 | − | 0.425369i | \(-0.860144\pi\) |
0.820890 | + | 0.571086i | \(0.193478\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 11.4056 | + | 19.7552i | 0.507545 | + | 0.879093i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 11.8345 | + | 15.1390i | 0.525589 | + | 0.672345i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 13.7117 | + | 11.5055i | 0.607760 | + | 0.509971i | 0.893929 | − | 0.448208i | \(-0.147938\pi\) |
−0.286169 | + | 0.958179i | \(0.592382\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −70.4480 | − | 25.6410i | −3.11643 | − | 1.13429i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.49632 | + | 1.56009i | −0.154366 | + | 0.0688797i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 19.9804 | + | 7.27226i | 0.880440 | + | 0.320454i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 3.57600 | + | 3.00062i | 0.157272 | + | 0.131967i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −35.2835 | + | 4.96858i | −1.54877 | + | 0.218096i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 4.35976 | + | 7.55132i | 0.191004 | + | 0.330829i | 0.945583 | − | 0.325380i | \(-0.105492\pi\) |
−0.754579 | + | 0.656209i | \(0.772159\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −7.62696 | + | 13.2103i | −0.333504 | + | 0.577645i | −0.983196 | − | 0.182552i | \(-0.941564\pi\) |
0.649693 | + | 0.760197i | \(0.274898\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0.293351 | + | 0.902005i | 0.0128029 | + | 0.0393667i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 45.8408 | − | 16.6847i | 1.99685 | − | 0.726796i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 0.0946468 | + | 0.536769i | 0.00411508 | + | 0.0233378i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −8.19439 | + | 32.9424i | −0.355606 | + | 1.42958i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 7.08944 | − | 5.94875i | 0.307078 | − | 0.257669i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.51754 | + | 8.60642i | −0.0656092 | + | 0.372088i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −10.9484 | − | 6.83720i | −0.472460 | − | 0.295047i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −7.20008 | −0.310129 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −31.3381 | −1.34733 | −0.673666 | − | 0.739036i | \(-0.735281\pi\) | ||||
−0.673666 | + | 0.739036i | \(0.735281\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 27.7086 | − | 14.7426i | 1.18909 | − | 0.632666i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 6.99147 | − | 39.6506i | 0.299482 | − | 1.69845i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 17.2228 | − | 14.4517i | 0.736396 | − | 0.617909i | −0.195471 | − | 0.980709i | \(-0.562624\pi\) |
0.931867 | + | 0.362800i | \(0.118179\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 16.1339 | − | 11.7354i | 0.688578 | − | 0.500855i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −0.823611 | − | 4.67093i | −0.0350870 | − | 0.198988i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 17.7605 | − | 6.46431i | 0.755255 | − | 0.274890i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 17.5124 | − | 19.4601i | 0.743358 | − | 0.826036i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 13.5637 | − | 23.4930i | 0.574711 | − | 0.995429i | −0.421362 | − | 0.906893i | \(-0.638448\pi\) |
0.996073 | − | 0.0885364i | \(-0.0282190\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −0.00444105 | − | 0.00769213i | −0.000187837 | − | 0.000325343i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.50447 | + | 3.72663i | −0.0635189 | + | 0.157338i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 12.3708 | + | 10.3803i | 0.521367 | + | 0.437478i | 0.865108 | − | 0.501586i | \(-0.167250\pi\) |
−0.343741 | + | 0.939064i | \(0.611694\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 33.6919 | + | 12.2628i | 1.41743 | + | 0.515902i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 35.4310 | − | 22.1935i | 1.48796 | − | 0.932040i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −15.2951 | − | 5.56697i | −0.641205 | − | 0.233379i | 0.000896107 | − | 1.00000i | \(-0.499715\pi\) |
−0.642101 | + | 0.766620i | \(0.721937\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −13.1097 | − | 11.0003i | −0.548622 | − | 0.460349i | 0.325852 | − | 0.945421i | \(-0.394349\pi\) |
−0.874474 | + | 0.485072i | \(0.838793\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −1.97706 | + | 4.89725i | −0.0825930 | + | 0.204586i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −0.286012 | − | 0.495387i | −0.0119275 | − | 0.0206590i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.98126 | − | 3.43163i | 0.0824807 | − | 0.142861i | −0.821834 | − | 0.569727i | \(-0.807049\pi\) |
0.904315 | + | 0.426866i | \(0.140382\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −12.6621 | + | 14.0704i | −0.526219 | + | 0.584746i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.83821 | + | 2.12493i | −0.242210 | + | 0.0881571i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.419693 | − | 2.38020i | −0.0173819 | − | 0.0985778i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −0.984436 | − | 9.31741i | −0.0407014 | − | 0.385228i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −31.7228 | + | 26.6186i | −1.30934 | + | 1.09867i | −0.320891 | + | 0.947116i | \(0.603982\pi\) |
−0.988449 | + | 0.151551i | \(0.951573\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.32849 | + | 7.53425i | −0.0547396 | + | 0.310444i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 14.6131 | − | 7.77502i | 0.601101 | − | 0.319821i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −11.2304 | −0.461175 | −0.230588 | − | 0.973052i | \(-0.574065\pi\) | ||||
−0.230588 | + | 0.973052i | \(0.574065\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −49.3738 | −2.02413 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −32.4063 | − | 20.2374i | −1.32630 | − | 0.828263i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −1.77286 | + | 10.0544i | −0.0724369 | + | 0.410810i | 0.926930 | + | 0.375234i | \(0.122438\pi\) |
−0.999367 | + | 0.0355760i | \(0.988673\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.509071 | − | 0.427161i | 0.0207654 | − | 0.0174243i | −0.632346 | − | 0.774686i | \(-0.717908\pi\) |
0.653111 | + | 0.757262i | \(0.273463\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −19.3741 | + | 5.56686i | −0.788973 | + | 0.226700i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −4.22542 | − | 23.9636i | −0.171788 | − | 0.974258i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −24.3607 | + | 8.86658i | −0.988771 | + | 0.359883i | −0.785244 | − | 0.619186i | \(-0.787463\pi\) |
−0.203527 | + | 0.979069i | \(0.565240\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 16.0184 | + | 49.2538i | 0.649097 | + | 1.99586i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 6.52449 | − | 11.3007i | 0.263953 | − | 0.457179i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 8.97419 | + | 15.5438i | 0.362464 | + | 0.627806i | 0.988366 | − | 0.152096i | \(-0.0486022\pi\) |
−0.625902 | + | 0.779902i | \(0.715269\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 26.0112 | − | 3.66287i | 1.04887 | − | 0.147701i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 6.76451 | + | 5.67609i | 0.272329 | + | 0.228511i | 0.768716 | − | 0.639590i | \(-0.220896\pi\) |
−0.496387 | + | 0.868101i | \(0.665340\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 18.3976 | + | 6.69619i | 0.739463 | + | 0.269143i | 0.684165 | − | 0.729327i | \(-0.260167\pi\) |
0.0552981 | + | 0.998470i | \(0.482389\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −18.1227 | + | 17.5295i | −0.727238 | + | 0.703436i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −10.5859 | − | 3.85297i | −0.424117 | − | 0.154366i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −19.5920 | − | 16.4396i | −0.783680 | − | 0.657585i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.388167 | − | 0.496552i | −0.0155019 | − | 0.0198304i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 15.6951 | + | 27.1847i | 0.625805 | + | 1.08393i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.99069 | + | 10.3762i | −0.238485 | + | 0.413069i | −0.960280 | − | 0.279039i | \(-0.909984\pi\) |
0.721794 | + | 0.692107i | \(0.243318\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −43.4186 | − | 9.21654i | −1.72574 | − | 0.366325i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 8.84854 | − | 3.22061i | 0.351144 | − | 0.127806i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 3.49495 | + | 19.8208i | 0.138475 | + | 0.785329i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −14.6500 | + | 21.7451i | −0.579545 | + | 0.860222i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −34.0436 | + | 28.5660i | −1.34464 | + | 1.12829i | −0.364233 | + | 0.931308i | \(0.618669\pi\) |
−0.980408 | + | 0.196980i | \(0.936887\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 4.43276 | − | 25.1394i | 0.174811 | − | 0.991403i | −0.763551 | − | 0.645748i | \(-0.776546\pi\) |
0.938362 | − | 0.345655i | \(-0.112343\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0.000872968 | − | 0.0251955i | 3.43731e−5 | − | 0.000992070i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −38.0816 | −1.49714 | −0.748571 | − | 0.663055i | \(-0.769259\pi\) | ||||
−0.748571 | + | 0.663055i | \(0.769259\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5.58827 | −0.219359 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.89284 | − | 83.4926i | 0.113379 | − | 3.27233i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −0.360584 | + | 2.04497i | −0.0141107 | + | 0.0800260i | −0.991050 | − | 0.133492i | \(-0.957381\pi\) |
0.976939 | + | 0.213518i | \(0.0684921\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −9.12266 | + | 7.65482i | −0.356452 | + | 0.299099i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 21.2478 | + | 43.5043i | 0.828956 | + | 1.69726i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 2.70315 | + | 15.3303i | 0.105300 | + | 0.597185i | 0.991100 | + | 0.133118i | \(0.0424990\pi\) |
−0.885800 | + | 0.464066i | \(0.846390\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 9.18307 | − | 3.34237i | 0.357180 | − | 0.130003i | −0.157196 | − | 0.987567i | \(-0.550246\pi\) |
0.514377 | + | 0.857564i | \(0.328023\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 10.9892 | + | 2.33269i | 0.426783 | + | 0.0905940i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 3.87159 | − | 6.70579i | 0.150134 | − | 0.260040i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −15.6176 | − | 27.0505i | −0.604716 | − | 1.04740i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 6.38099 | + | 8.16270i | 0.246703 | + | 0.315588i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.51590 | + | 2.11109i | 0.0971252 | + | 0.0814977i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.28819 | − | 0.468862i | −0.0496560 | − | 0.0180733i | 0.317073 | − | 0.948401i | \(-0.397300\pi\) |
−0.366729 | + | 0.930328i | \(0.619522\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0.268076 | − | 0.550781i | 0.0103183 | − | 0.0211996i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 11.7891 | + | 4.29089i | 0.453093 | + | 0.164912i | 0.558478 | − | 0.829519i | \(-0.311385\pi\) |
−0.105385 | + | 0.994431i | \(0.533608\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 39.7929 | + | 33.3902i | 1.52711 | + | 1.28140i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 39.2144 | − | 5.52213i | 1.50270 | − | 0.211608i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 13.8263 | + | 23.9478i | 0.529047 | + | 0.916337i | 0.999426 | + | 0.0338721i | \(0.0107839\pi\) |
−0.470379 | + | 0.882465i | \(0.655883\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 9.33685 | − | 16.1719i | 0.356743 | − | 0.617897i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.429282 | + | 1.31997i | 0.0163781 | + | 0.0503599i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −6.34864 | + | 2.31071i | −0.241864 | + | 0.0880312i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.333393 | − | 1.89077i | −0.0126829 | − | 0.0719282i | 0.977809 | − | 0.209496i | \(-0.0671825\pi\) |
−0.990492 | + | 0.137568i | \(0.956071\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 4.95344 | + | 4.77827i | 0.188166 | + | 0.181511i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −3.79825 | + | 3.18711i | −0.144076 | + | 0.120894i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.46920 | + | 31.0174i | −0.207161 | + | 1.17487i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −11.0013 | − | 6.87023i | −0.416109 | − | 0.259856i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 24.9902 | 0.943867 | 0.471933 | − | 0.881634i | \(-0.343556\pi\) | ||||
0.471933 | + | 0.881634i | \(0.343556\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.92286 | −0.185669 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 32.6975 | − | 17.3970i | 1.23146 | − | 0.655210i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −8.13376 | + | 46.1289i | −0.305902 | + | 1.73485i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 11.0046 | − | 9.23396i | 0.413287 | − | 0.346789i | −0.412316 | − | 0.911041i | \(-0.635280\pi\) |
0.825602 | + | 0.564252i | \(0.190835\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −11.1535 | − | 4.95857i | −0.418288 | − | 0.185961i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8.74886 | + | 49.6172i | 0.327647 | + | 1.85818i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.44936 | − | 0.527525i | 0.0542031 | − | 0.0197283i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.44728 | − | 9.38680i | 0.315470 | − | 0.350557i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −13.0300 | + | 22.5686i | −0.485937 | + | 0.841668i | −0.999869 | − | 0.0161626i | \(-0.994855\pi\) |
0.513932 | + | 0.857831i | \(0.328188\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 21.8303 | + | 37.8111i | 0.813002 | + | 1.40816i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.14452 | + | 12.7431i | −0.191327 | + | 0.473922i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0.581316 | + | 0.487782i | 0.0215895 | + | 0.0181158i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −16.5039 | − | 6.00694i | −0.612097 | − | 0.222785i | 0.0173234 | − | 0.999850i | \(-0.494486\pi\) |
−0.629421 | + | 0.777065i | \(0.716708\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.4191 | − | 5.57041i | −0.978486 | − | 0.206311i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.0284052 | + | 0.0103386i | 0.00105060 | + | 0.000382388i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −16.0100 | − | 13.4340i | −0.591342 | − | 0.496195i | 0.297307 | − | 0.954782i | \(-0.403911\pi\) |
−0.888650 | + | 0.458587i | \(0.848356\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −21.3855 | + | 52.9725i | −0.788815 | + | 1.95392i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.65921 | − | 2.87384i | −0.0611179 | − | 0.105859i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −6.25842 | + | 10.8399i | −0.230220 | + | 0.398752i | −0.957873 | − | 0.287193i | \(-0.907278\pi\) |
0.727653 | + | 0.685945i | \(0.240611\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.17852 | + | 1.30960i | −0.0432940 | + | 0.0481092i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.69954 | − | 0.618581i | 0.0623499 | − | 0.0226935i | −0.310657 | − | 0.950522i | \(-0.600549\pi\) |
0.373007 | + | 0.927829i | \(0.378327\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.85246 | + | 10.5058i | 0.0678688 | + | 0.384903i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 3.66635 | + | 1.62997i | 0.134145 | + | 0.0596375i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −13.7466 | + | 11.5348i | −0.502291 | + | 0.421472i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.577783 | − | 3.27677i | 0.0210836 | − | 0.119571i | −0.972450 | − | 0.233113i | \(-0.925109\pi\) |
0.993533 | + | 0.113542i | \(0.0362198\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 27.0230 | − | 14.3779i | 0.984774 | − | 0.523958i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 32.1766 | 1.17103 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.1091 | −0.876259 | −0.438130 | − | 0.898912i | \(-0.644359\pi\) | ||||
−0.438130 | + | 0.898912i | \(0.644359\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −3.52056 | − | 2.19855i | −0.127788 | − | 0.0798025i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −6.40688 | + | 36.3352i | −0.232249 | + | 1.31715i | 0.616081 | + | 0.787683i | \(0.288719\pi\) |
−0.848330 | + | 0.529468i | \(0.822392\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 63.3321 | − | 53.1419i | 2.29277 | − | 1.92387i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 22.9490 | + | 22.1374i | 0.829723 | + | 0.800381i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 2.71257 | + | 15.3837i | 0.0979451 | + | 0.555474i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 9.02941 | − | 3.28644i | 0.325609 | − | 0.118512i | −0.174044 | − | 0.984738i | \(-0.555683\pi\) |
0.499652 | + | 0.866226i | \(0.333461\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −14.5209 | − | 44.6494i | −0.522959 | − | 1.60801i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −10.4760 | + | 18.1449i | −0.376794 | + | 0.652626i | −0.990594 | − | 0.136835i | \(-0.956307\pi\) |
0.613800 | + | 0.789462i | \(0.289640\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −0.612019 | − | 1.06005i | −0.0219844 | − | 0.0380781i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 53.2320 | − | 7.49607i | 1.90969 | − | 0.268920i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −3.78382 | − | 3.17500i | −0.135569 | − | 0.113756i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.05600 | − | 1.47626i | −0.145135 | − | 0.0528249i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 14.6382 | − | 30.0753i | 0.523128 | − | 1.07480i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 21.2525 | + | 7.73528i | 0.758534 | + | 0.276084i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.75781 | − | 2.31408i | −0.0983055 | − | 0.0824881i | 0.592310 | − | 0.805710i | \(-0.298216\pi\) |
−0.690616 | + | 0.723222i | \(0.742660\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 1.28862 | + | 1.64844i | 0.0458762 | + | 0.0586859i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 36.8113 | + | 63.7590i | 1.30886 | + | 2.26701i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 4.59031 | − | 7.95064i | 0.163007 | − | 0.282336i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −18.7582 | − | 3.98183i | −0.665284 | − | 0.141221i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −10.7418 | + | 3.90969i | −0.380493 | + | 0.138488i | −0.525184 | − | 0.850989i | \(-0.676004\pi\) |
0.144691 | + | 0.989477i | \(0.453781\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 7.71156 | + | 43.7344i | 0.272815 | + | 1.54721i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 3.19283 | + | 6.53722i | 0.112813 | + | 0.230981i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | −6.10558 | + | 5.12319i | −0.215461 | + | 0.180793i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.85487 | − | 50.2184i | 0.312093 | − | 1.76997i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −0.648136 | + | 18.7064i | −0.0228155 | + | 0.658496i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 17.2384 | 0.606071 | 0.303036 | − | 0.952979i | \(-0.402000\pi\) | ||||
0.303036 | + | 0.952979i | \(0.402000\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 39.4818 | 1.38639 | 0.693197 | − | 0.720749i | \(-0.256202\pi\) | ||||
0.693197 | + | 0.720749i | \(0.256202\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 1.05266 | − | 30.3818i | 0.0369186 | − | 1.06554i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 5.76167 | − | 32.6760i | 0.201822 | − | 1.14459i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.00363152 | + | 0.00304721i | −0.000127051 | + | 0.000106608i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 10.7495 | − | 15.9555i | 0.375617 | − | 0.557531i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 8.83146 | + | 50.0857i | 0.308220 | + | 1.74800i | 0.607947 | + | 0.793977i | \(0.291993\pi\) |
−0.299727 | + | 0.954025i | \(0.596896\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 3.78997 | − | 1.37944i | 0.132110 | − | 0.0480841i | −0.275119 | − | 0.961410i | \(-0.588717\pi\) |
0.407229 | + | 0.913326i | \(0.366495\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0.0986417 | + | 0.0209388i | 0.00343426 | + | 0.000728997i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.8069 | − | 23.9142i | 0.480112 | − | 0.831578i | −0.519628 | − | 0.854393i | \(-0.673929\pi\) |
0.999740 | + | 0.0228147i | \(0.00726277\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.43951 | + | 11.1536i | 0.223654 | + | 0.387379i | 0.955915 | − | 0.293645i | \(-0.0948683\pi\) |
−0.732261 | + | 0.681024i | \(0.761535\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 16.5056 | + | 21.1144i | 0.572573 | + | 0.732449i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −52.4710 | − | 44.0284i | −1.81801 | − | 1.52549i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −36.9602 | − | 13.4524i | −1.27906 | − | 0.465540i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −38.7797 | + | 37.5104i | −1.34042 | + | 1.29655i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 29.8306 | + | 10.8574i | 1.02987 | + | 0.374841i | 0.801030 | − | 0.598624i | \(-0.204286\pi\) |
0.228836 | + | 0.973465i | \(0.426508\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.52730 | + | 7.99436i | 0.328528 | + | 0.275667i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −10.1341 | + | 1.42707i | −0.349037 | + | 0.0491510i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 12.5491 | + | 21.7356i | 0.431701 | + | 0.747727i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 24.9828 | − | 43.2715i | 0.858420 | − | 1.48683i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 6.65706 | + | 20.4693i | 0.228470 | + | 0.702506i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −30.4646 | + | 11.0882i | −1.04431 | + | 0.380099i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.12442 | − | 40.4046i | −0.243936 | − | 1.38343i | −0.822952 | − | 0.568111i | \(-0.807674\pi\) |
0.579016 | − | 0.815316i | \(-0.303437\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −4.80616 | + | 1.38098i | −0.164367 | + | 0.0472285i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 27.3508 | − | 22.9501i | 0.934287 | − | 0.783960i | −0.0422952 | − | 0.999105i | \(-0.513467\pi\) |
0.976582 | + | 0.215145i | \(0.0690226\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.781011 | − | 4.42933i | 0.0266477 | − | 0.151127i | −0.968581 | − | 0.248700i | \(-0.919997\pi\) |
0.995228 | + | 0.0975728i | \(0.0311079\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 45.7500 | + | 28.5704i | 1.55915 | + | 0.973677i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −6.22982 | −0.212065 | −0.106033 | − | 0.994363i | \(-0.533815\pi\) | ||||
−0.106033 | + | 0.994363i | \(0.533815\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −46.5393 | −1.58238 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −7.75770 | + | 4.12756i | −0.263465 | + | 0.140179i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.348924 | − | 1.97885i | 0.0118364 | − | 0.0671277i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −7.10590 | + | 5.96256i | −0.240774 | + | 0.202034i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −3.52483 | − | 33.3615i | −0.119297 | − | 1.12912i | ||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −8.90923 | − | 50.5267i | −0.301187 | − | 1.70812i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 12.2573 | − | 4.46130i | 0.413901 | − | 0.150648i | −0.126672 | − | 0.991945i | \(-0.540430\pi\) |
0.540573 | + | 0.841297i | \(0.318207\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 24.9010 | − | 27.6705i | 0.839889 | − | 0.933303i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 19.7593 | − | 34.2241i | 0.665707 | − | 1.15304i | −0.313386 | − | 0.949626i | \(-0.601463\pi\) |
0.979093 | − | 0.203413i | \(-0.0652033\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −1.28534 | − | 2.22628i | −0.0432552 | − | 0.0749202i | 0.843587 | − | 0.536992i | \(-0.180440\pi\) |
−0.886842 | + | 0.462072i | \(0.847106\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | −16.5981 | + | 41.1141i | −0.557940 | + | 1.38203i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | −31.4116 | − | 26.3574i | −1.05470 | − | 0.884996i | −0.0611178 | − | 0.998131i | \(-0.519467\pi\) |
−0.993580 | + | 0.113134i | \(0.963911\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 18.1695 | + | 6.61316i | 0.609386 | + | 0.221798i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −0.159964 | − | 4.44189i | −0.00535900 | − | 0.148809i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −6.54456 | − | 2.38203i | −0.219005 | − | 0.0797115i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.9151 | − | 10.8370i | −0.431703 | − | 0.362242i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −4.34342 | + | 10.7588i | −0.145023 | + | 0.359226i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −33.4192 | − | 57.8837i | −1.11459 | − | 1.93053i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 11.4964 | − | 19.9123i | 0.382999 | − | 0.663374i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0.0346285 | − | 0.0384799i | 0.00115236 | − | 0.00128053i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 38.5224 | − | 14.0210i | 1.28053 | − | 0.466074i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.17389 | + | 40.6851i | 0.238205 | + | 1.35093i | 0.835758 | + | 0.549098i | \(0.185029\pi\) |
−0.597553 | + | 0.801830i | \(0.703860\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 24.4631 | − | 17.7939i | 0.811390 | − | 0.590185i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 10.7599 | − | 9.02864i | 0.356492 | − | 0.299132i | −0.446899 | − | 0.894585i | \(-0.647472\pi\) |
0.803391 | + | 0.595452i | \(0.203027\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −0.114698 | + | 0.650482i | −0.00379593 | + | 0.0215278i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 23.0044 | − | 12.2397i | 0.760501 | − | 0.404631i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −24.4534 | −0.807522 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 27.1102 | 0.894284 | 0.447142 | − | 0.894463i | \(-0.352442\pi\) | ||||
0.447142 | + | 0.894463i | \(0.352442\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 12.8530 | + | 8.02657i | 0.423520 | + | 0.264484i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −2.09515 | + | 11.8822i | −0.0689628 | + | 0.391107i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0.603361 | − | 0.506280i | 0.0198384 | − | 0.0166464i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 6.80641 | − | 27.3626i | 0.223552 | − | 0.898704i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −3.48369 | − | 19.7570i | −0.114296 | − | 0.648206i | −0.987096 | − | 0.160128i | \(-0.948809\pi\) |
0.872800 | − | 0.488078i | \(-0.162302\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 10.0943 | − | 3.67401i | 0.330826 | − | 0.120411i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 6.08135 | + | 18.6991i | 0.199095 | + | 0.612182i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −2.62456 | + | 4.54587i | −0.0858323 | + | 0.148666i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.77086 | − | 15.1916i | −0.286532 | − | 0.496287i | 0.686448 | − | 0.727179i | \(-0.259169\pi\) |
−0.972979 | + | 0.230892i | \(0.925836\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −38.3186 | + | 5.39599i | −1.25048 | + | 0.176091i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 36.8470 | + | 30.9183i | 1.20118 | + | 1.00791i | 0.999596 | + | 0.0284363i | \(0.00905279\pi\) |
0.201582 | + | 0.979472i | \(0.435392\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −30.5671 | − | 11.1255i | −0.995402 | − | 0.362297i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 49.8673 | − | 22.2512i | 1.62218 | − | 0.723833i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 31.4351 | + | 11.4414i | 1.02150 | + | 0.371796i | 0.797839 | − | 0.602870i | \(-0.205976\pi\) |
0.223663 | + | 0.974667i | \(0.428199\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 17.0671 | + | 14.3210i | 0.554021 | + | 0.464879i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −7.21779 | − | 9.23316i | −0.234053 | − | 0.299406i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −4.37147 | − | 7.57160i | −0.141606 | − | 0.245268i | 0.786496 | − | 0.617596i | \(-0.211893\pi\) |
−0.928101 | + | 0.372327i | \(0.878560\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.44900 | + | 5.97384i | −0.111607 | + | 0.193309i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 5.38631 | + | 1.14336i | 0.174115 | + | 0.0369596i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 36.0319 | − | 13.1146i | 1.16353 | − | 0.423491i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.3381 | + | 75.6439i | 0.430260 | + | 2.44013i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 11.5612 | + | 0.802106i | 0.372556 | + | 0.0258475i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −18.9394 | + | 15.8920i | −0.609679 | + | 0.511582i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 3.78186 | − | 21.4480i | 0.121616 | − | 0.689720i | −0.861644 | − | 0.507513i | \(-0.830565\pi\) |
0.983260 | − | 0.182207i | \(-0.0583241\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0.207620 | − | 5.99229i | 0.00666970 | − | 0.192500i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −4.16181 | −0.133559 | −0.0667795 | − | 0.997768i | \(-0.521272\pi\) | ||||
−0.0667795 | + | 0.997768i | \(0.521272\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −10.1812 | −0.326395 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.00976066 | − | 0.281711i | 0.000312591 | − | 0.00902196i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −9.25341 | + | 52.4787i | −0.296043 | + | 1.67894i | 0.366891 | + | 0.930264i | \(0.380422\pi\) |
−0.662933 | + | 0.748678i | \(0.730689\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −0.917461 | + | 0.769842i | −0.0293222 | + | 0.0246042i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −53.2637 | − | 3.69538i | −1.70058 | − | 0.117984i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −0.0564764 | − | 0.320293i | −0.00180132 | − | 0.0102158i | 0.983894 | − | 0.178754i | \(-0.0572065\pi\) |
−0.985695 | + | 0.168538i | \(0.946095\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 20.3161 | − | 7.39445i | 0.647324 | − | 0.235607i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 74.3951 | + | 15.7920i | 2.36802 | + | 0.502664i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.0156098 | + | 0.0270369i | −0.000496362 | + | 0.000859724i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.4316 | + | 40.5847i | 0.744329 | + | 1.28922i | 0.950508 | + | 0.310702i | \(0.100564\pi\) |
−0.206178 | + | 0.978514i | \(0.566103\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −23.0550 | − | 29.4925i | −0.731629 | − | 0.935917i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −38.2273 | − | 32.0765i | −1.21189 | − | 1.01689i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.1928 | + | 6.62164i | 0.576172 | + | 0.209710i | 0.613637 | − | 0.789588i | \(-0.289706\pi\) |
−0.0374646 | + | 0.999298i | \(0.511928\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | −28.1033 | − | 20.3831i | −0.889148 | − | 0.644893i |
(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 | 864.2.y.c.193.5 | yes | 54 | |
4.3 | odd | 2 | 864.2.y.b.193.5 | ✓ | 54 | ||
27.7 | even | 9 | inner | 864.2.y.c.385.5 | yes | 54 | |
108.7 | odd | 18 | 864.2.y.b.385.5 | yes | 54 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
864.2.y.b.193.5 | ✓ | 54 | 4.3 | odd | 2 | ||
864.2.y.b.385.5 | yes | 54 | 108.7 | odd | 18 | ||
864.2.y.c.193.5 | yes | 54 | 1.1 | even | 1 | trivial | |
864.2.y.c.385.5 | yes | 54 | 27.7 | even | 9 | inner |