Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 351.2 | ||
Character | \(\chi\) | \(=\) | 950.351 |
Dual form | 950.2.l.l.701.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | − | 0.984808i | −0.122788 | − | 0.696364i | ||||
\(3\) | −1.28288 | + | 1.07646i | −0.740671 | + | 0.621497i | −0.933018 | − | 0.359830i | \(-0.882835\pi\) |
0.192346 | + | 0.981327i | \(0.438390\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.28288 | + | 1.07646i | 0.523734 | + | 0.439465i | ||||
\(7\) | −1.16183 | + | 2.01234i | −0.439129 | + | 0.760594i | −0.997623 | − | 0.0689147i | \(-0.978046\pi\) |
0.558493 | + | 0.829509i | \(0.311380\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −0.0339381 | + | 0.192472i | −0.0113127 | + | 0.0641574i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.54750 | + | 2.68035i | 0.466589 | + | 0.808156i | 0.999272 | − | 0.0381589i | \(-0.0121493\pi\) |
−0.532682 | + | 0.846315i | \(0.678816\pi\) | |||||||
\(12\) | 0.837341 | − | 1.45032i | 0.241719 | − | 0.418670i | ||||
\(13\) | −5.18492 | − | 4.35067i | −1.43804 | − | 1.20666i | −0.940763 | − | 0.339065i | \(-0.889889\pi\) |
−0.497275 | − | 0.867593i | \(-0.665666\pi\) | |||||||
\(14\) | 2.18352 | + | 0.794737i | 0.583570 | + | 0.212402i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.818439 | + | 4.64160i | 0.198501 | + | 1.12575i | 0.907345 | + | 0.420388i | \(0.138106\pi\) |
−0.708844 | + | 0.705365i | \(0.750783\pi\) | |||||||
\(18\) | 0.195441 | 0.0460660 | ||||||||
\(19\) | −0.846315 | − | 4.27595i | −0.194158 | − | 0.980970i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −0.675731 | − | 3.83226i | −0.147457 | − | 0.836268i | ||||
\(22\) | 2.37091 | − | 1.98943i | 0.505480 | − | 0.424148i | ||||
\(23\) | 2.99540 | − | 1.09024i | 0.624585 | − | 0.227330i | −0.0102880 | − | 0.999947i | \(-0.503275\pi\) |
0.634873 | + | 0.772617i | \(0.281053\pi\) | |||||||
\(24\) | −1.57369 | − | 0.572775i | −0.321227 | − | 0.116917i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −3.38422 | + | 5.86164i | −0.663700 | + | 1.14956i | ||||
\(27\) | −2.67567 | − | 4.63440i | −0.514934 | − | 0.891891i | ||||
\(28\) | 0.403498 | − | 2.28835i | 0.0762540 | − | 0.432458i | ||||
\(29\) | 0.115201 | − | 0.653337i | 0.0213923 | − | 0.121322i | −0.972242 | − | 0.233979i | \(-0.924825\pi\) |
0.993634 | + | 0.112658i | \(0.0359363\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.25407 | − | 3.90416i | 0.404842 | − | 0.701207i | −0.589461 | − | 0.807797i | \(-0.700660\pi\) |
0.994303 | + | 0.106590i | \(0.0339932\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | −4.87056 | − | 1.77274i | −0.847856 | − | 0.308594i | ||||
\(34\) | 4.42896 | − | 1.61201i | 0.759561 | − | 0.276458i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −0.0339381 | − | 0.192472i | −0.00565634 | − | 0.0320787i | ||||
\(37\) | −9.57421 | −1.57399 | −0.786995 | − | 0.616959i | \(-0.788364\pi\) | ||||
−0.786995 | + | 0.616959i | \(0.788364\pi\) | |||||||
\(38\) | −4.06403 | + | 1.57597i | −0.659272 | + | 0.255656i | ||||
\(39\) | 11.3350 | 1.81505 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1.86510 | − | 1.56501i | 0.291280 | − | 0.244413i | −0.485424 | − | 0.874279i | \(-0.661335\pi\) |
0.776704 | + | 0.629866i | \(0.216890\pi\) | |||||||
\(42\) | −3.65670 | + | 1.33093i | −0.564241 | + | 0.205367i | ||||
\(43\) | −2.05525 | − | 0.748052i | −0.313423 | − | 0.114077i | 0.180519 | − | 0.983572i | \(-0.442222\pi\) |
−0.493942 | + | 0.869495i | \(0.664445\pi\) | |||||||
\(44\) | −2.37091 | − | 1.98943i | −0.357428 | − | 0.299918i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.59382 | − | 2.76058i | −0.234996 | − | 0.407025i | ||||
\(47\) | 1.08992 | − | 6.18124i | 0.158981 | − | 0.901626i | −0.796074 | − | 0.605199i | \(-0.793094\pi\) |
0.955055 | − | 0.296427i | \(-0.0957953\pi\) | |||||||
\(48\) | −0.290805 | + | 1.64924i | −0.0419741 | + | 0.238047i | ||||
\(49\) | 0.800316 | + | 1.38619i | 0.114331 | + | 0.198027i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −6.04648 | − | 5.07360i | −0.846676 | − | 0.710446i | ||||
\(52\) | 6.36025 | + | 2.31494i | 0.882008 | + | 0.321025i | ||||
\(53\) | −9.43800 | + | 3.43515i | −1.29641 | + | 0.471854i | −0.895825 | − | 0.444406i | \(-0.853415\pi\) |
−0.400583 | + | 0.916260i | \(0.631193\pi\) | |||||||
\(54\) | −4.09937 | + | 3.43978i | −0.557854 | + | 0.468095i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −2.32365 | −0.310511 | ||||||||
\(57\) | 5.68863 | + | 4.57451i | 0.753477 | + | 0.605908i | ||||
\(58\) | −0.663415 | −0.0871107 | ||||||||
\(59\) | −1.77002 | − | 10.0383i | −0.230437 | − | 1.30687i | −0.852014 | − | 0.523519i | \(-0.824619\pi\) |
0.621577 | − | 0.783353i | \(-0.286492\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.49881 | + | 1.27346i | −0.447976 | + | 0.163050i | −0.556150 | − | 0.831082i | \(-0.687722\pi\) |
0.108174 | + | 0.994132i | \(0.465500\pi\) | |||||||
\(62\) | −4.23626 | − | 1.54187i | −0.538005 | − | 0.195818i | ||||
\(63\) | −0.347890 | − | 0.291915i | −0.0438300 | − | 0.0367778i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −0.900044 | + | 5.10440i | −0.110788 | + | 0.628308i | ||||
\(67\) | 0.920817 | − | 5.22221i | 0.112496 | − | 0.637995i | −0.875464 | − | 0.483283i | \(-0.839444\pi\) |
0.987960 | − | 0.154711i | \(-0.0494448\pi\) | |||||||
\(68\) | −2.35660 | − | 4.08175i | −0.285780 | − | 0.494985i | ||||
\(69\) | −2.66914 | + | 4.62309i | −0.321327 | + | 0.556554i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −11.0982 | − | 4.03942i | −1.31711 | − | 0.479390i | −0.414582 | − | 0.910012i | \(-0.636072\pi\) |
−0.902533 | + | 0.430621i | \(0.858294\pi\) | |||||||
\(72\) | −0.183655 | + | 0.0668449i | −0.0216439 | + | 0.00787775i | ||||
\(73\) | 1.96449 | − | 1.64840i | 0.229926 | − | 0.192931i | −0.520545 | − | 0.853834i | \(-0.674271\pi\) |
0.750471 | + | 0.660903i | \(0.229827\pi\) | |||||||
\(74\) | 1.66254 | + | 9.42875i | 0.193267 | + | 1.09607i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.25774 | + | 3.72862i | 0.258980 | + | 0.427702i | ||||
\(77\) | −7.19172 | −0.819572 | ||||||||
\(78\) | −1.96830 | − | 11.1628i | −0.222866 | − | 1.26393i | ||||
\(79\) | −12.6337 | + | 10.6009i | −1.42140 | + | 1.19270i | −0.470821 | + | 0.882229i | \(0.656042\pi\) |
−0.950583 | + | 0.310470i | \(0.899513\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.87038 | + | 2.86458i | 0.874486 | + | 0.318287i | ||||
\(82\) | −1.86510 | − | 1.56501i | −0.205966 | − | 0.172826i | ||||
\(83\) | 3.21477 | − | 5.56814i | 0.352866 | − | 0.611183i | −0.633884 | − | 0.773428i | \(-0.718540\pi\) |
0.986750 | + | 0.162246i | \(0.0518737\pi\) | |||||||
\(84\) | 1.94569 | + | 3.37003i | 0.212292 | + | 0.367701i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.379796 | + | 2.15393i | −0.0409544 | + | 0.232264i | ||||
\(87\) | 0.555505 | + | 0.962162i | 0.0595564 | + | 0.103155i | ||||
\(88\) | −1.54750 | + | 2.68035i | −0.164964 | + | 0.285726i | ||||
\(89\) | −6.47935 | − | 5.43682i | −0.686810 | − | 0.576302i | 0.231178 | − | 0.972912i | \(-0.425742\pi\) |
−0.917987 | + | 0.396610i | \(0.870187\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 14.7790 | − | 5.37912i | 1.54926 | − | 0.563885i | ||||
\(92\) | −2.44187 | + | 2.04898i | −0.254583 | + | 0.213620i | ||||
\(93\) | 1.31099 | + | 7.43499i | 0.135943 | + | 0.770972i | ||||
\(94\) | −6.27659 | −0.647381 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.67468 | 0.170921 | ||||||||
\(97\) | 0.923151 | + | 5.23545i | 0.0937318 | + | 0.531579i | 0.995129 | + | 0.0985853i | \(0.0314317\pi\) |
−0.901397 | + | 0.432994i | \(0.857457\pi\) | |||||||
\(98\) | 1.22615 | − | 1.02887i | 0.123860 | − | 0.103931i | ||||
\(99\) | −0.568413 | + | 0.206885i | −0.0571276 | + | 0.0207927i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −9.73383 | − | 8.16765i | −0.968552 | − | 0.812712i | 0.0137710 | − | 0.999905i | \(-0.495616\pi\) |
−0.982323 | + | 0.187193i | \(0.940061\pi\) | |||||||
\(102\) | −3.94656 | + | 6.83564i | −0.390767 | + | 0.676829i | ||||
\(103\) | 4.56327 | + | 7.90381i | 0.449632 | + | 0.778785i | 0.998362 | − | 0.0572143i | \(-0.0182218\pi\) |
−0.548730 | + | 0.836000i | \(0.684888\pi\) | |||||||
\(104\) | 1.17533 | − | 6.66561i | 0.115250 | − | 0.653616i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.02185 | + | 8.69811i | 0.487766 | + | 0.844835i | ||||
\(107\) | 4.47737 | − | 7.75503i | 0.432843 | − | 0.749707i | −0.564274 | − | 0.825588i | \(-0.690844\pi\) |
0.997117 | + | 0.0758813i | \(0.0241770\pi\) | |||||||
\(108\) | 4.09937 | + | 3.43978i | 0.394462 | + | 0.330993i | ||||
\(109\) | 9.01456 | + | 3.28103i | 0.863439 | + | 0.314266i | 0.735507 | − | 0.677517i | \(-0.236944\pi\) |
0.127932 | + | 0.991783i | \(0.459166\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 12.2826 | − | 10.3063i | 1.16581 | − | 0.978230i | ||||
\(112\) | 0.403498 | + | 2.28835i | 0.0381270 | + | 0.216229i | ||||
\(113\) | −3.77955 | −0.355551 | −0.177775 | − | 0.984071i | \(-0.556890\pi\) | ||||
−0.177775 | + | 0.984071i | \(0.556890\pi\) | |||||||
\(114\) | 3.51719 | − | 6.39656i | 0.329415 | − | 0.599093i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.115201 | + | 0.653337i | 0.0106961 | + | 0.0606608i | ||||
\(117\) | 1.01335 | − | 0.850300i | 0.0936841 | − | 0.0786103i | ||||
\(118\) | −9.57841 | + | 3.48626i | −0.881764 | + | 0.320936i | ||||
\(119\) | −10.2914 | − | 3.74575i | −0.943409 | − | 0.343373i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.710478 | − | 1.23058i | 0.0645889 | − | 0.111871i | ||||
\(122\) | 1.86168 | + | 3.22452i | 0.168548 | + | 0.291934i | ||||
\(123\) | −0.708029 | + | 4.01543i | −0.0638408 | + | 0.362059i | ||||
\(124\) | −0.782829 | + | 4.43964i | −0.0703001 | + | 0.398692i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.227069 | + | 0.393295i | −0.0202289 | + | 0.0350375i | ||||
\(127\) | 1.37966 | + | 1.15767i | 0.122425 | + | 0.102727i | 0.701945 | − | 0.712231i | \(-0.252315\pi\) |
−0.579520 | + | 0.814958i | \(0.696760\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | 3.44190 | − | 1.25275i | 0.303042 | − | 0.110298i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.39065 | + | 7.88678i | 0.121502 | + | 0.689072i | 0.983324 | + | 0.181861i | \(0.0582122\pi\) |
−0.861822 | + | 0.507210i | \(0.830677\pi\) | |||||||
\(132\) | 5.18314 | 0.451135 | ||||||||
\(133\) | 9.58795 | + | 3.26484i | 0.831381 | + | 0.283097i | ||||
\(134\) | −5.30277 | −0.458090 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.61052 | + | 3.02959i | −0.309600 | + | 0.259785i | ||||
\(137\) | 18.0566 | − | 6.57208i | 1.54268 | − | 0.561491i | 0.575996 | − | 0.817452i | \(-0.304614\pi\) |
0.966687 | + | 0.255961i | \(0.0823920\pi\) | |||||||
\(138\) | 5.01634 | + | 1.82580i | 0.427020 | + | 0.155422i | ||||
\(139\) | −0.826741 | − | 0.693718i | −0.0701233 | − | 0.0588404i | 0.607052 | − | 0.794662i | \(-0.292352\pi\) |
−0.677176 | + | 0.735821i | \(0.736796\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.25565 | + | 9.10305i | 0.442605 | + | 0.766615i | ||||
\(142\) | −2.05087 | + | 11.6310i | −0.172105 | + | 0.976055i | ||||
\(143\) | 3.63764 | − | 20.6301i | 0.304195 | − | 1.72517i | ||||
\(144\) | 0.0977207 | + | 0.169257i | 0.00814339 | + | 0.0141048i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.96449 | − | 1.64840i | −0.162582 | − | 0.136423i | ||||
\(147\) | −2.51889 | − | 0.916801i | −0.207755 | − | 0.0756165i | ||||
\(148\) | 8.99681 | − | 3.27457i | 0.739533 | − | 0.269168i | ||||
\(149\) | −2.12048 | + | 1.77929i | −0.173716 | + | 0.145765i | −0.725501 | − | 0.688222i | \(-0.758392\pi\) |
0.551784 | + | 0.833987i | \(0.313947\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −10.2734 | −0.836034 | −0.418017 | − | 0.908439i | \(-0.637275\pi\) | ||||
−0.418017 | + | 0.908439i | \(0.637275\pi\) | |||||||
\(152\) | 3.27992 | − | 2.87091i | 0.266037 | − | 0.232861i | ||||
\(153\) | −0.921155 | −0.0744710 | ||||||||
\(154\) | 1.24883 | + | 7.08246i | 0.100633 | + | 0.570721i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −10.6514 | + | 3.87679i | −0.852794 | + | 0.310392i | ||||
\(157\) | −6.55116 | − | 2.38443i | −0.522840 | − | 0.190298i | 0.0670986 | − | 0.997746i | \(-0.478626\pi\) |
−0.589938 | + | 0.807448i | \(0.700848\pi\) | |||||||
\(158\) | 12.6337 | + | 10.6009i | 1.00508 | + | 0.843366i | ||||
\(159\) | 8.41001 | − | 14.5666i | 0.666957 | − | 1.15520i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −1.28621 | + | 7.29445i | −0.101367 | + | 0.574883i | ||||
\(162\) | 1.45439 | − | 8.24824i | 0.114267 | − | 0.648043i | ||||
\(163\) | 2.51501 | + | 4.35612i | 0.196991 | + | 0.341198i | 0.947551 | − | 0.319604i | \(-0.103550\pi\) |
−0.750561 | + | 0.660802i | \(0.770216\pi\) | |||||||
\(164\) | −1.21736 | + | 2.10853i | −0.0950598 | + | 0.164648i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.04178 | − | 2.19903i | −0.468933 | − | 0.170678i | ||||
\(167\) | 5.55242 | − | 2.02091i | 0.429659 | − | 0.156383i | −0.118133 | − | 0.992998i | \(-0.537691\pi\) |
0.547792 | + | 0.836615i | \(0.315469\pi\) | |||||||
\(168\) | 2.98097 | − | 2.50133i | 0.229987 | − | 0.192982i | ||||
\(169\) | 5.69769 | + | 32.3132i | 0.438284 | + | 2.48563i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.851724 | − | 0.0177748i | 0.0651330 | − | 0.00135927i | ||||
\(172\) | 2.18716 | 0.166769 | ||||||||
\(173\) | 3.35907 | + | 19.0502i | 0.255386 | + | 1.44836i | 0.795081 | + | 0.606503i | \(0.207428\pi\) |
−0.539695 | + | 0.841860i | \(0.681461\pi\) | |||||||
\(174\) | 0.851083 | − | 0.714143i | 0.0645204 | − | 0.0541391i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 2.90835 | + | 1.05855i | 0.219225 | + | 0.0797915i | ||||
\(177\) | 13.0766 | + | 10.9725i | 0.982895 | + | 0.824747i | ||||
\(178\) | −4.22909 | + | 7.32501i | −0.316984 | + | 0.549032i | ||||
\(179\) | 3.95499 | + | 6.85025i | 0.295610 | + | 0.512012i | 0.975127 | − | 0.221648i | \(-0.0711437\pi\) |
−0.679517 | + | 0.733660i | \(0.737810\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.41624 | + | 13.7032i | −0.179597 | + | 1.01855i | 0.753105 | + | 0.657900i | \(0.228555\pi\) |
−0.932702 | + | 0.360647i | \(0.882556\pi\) | |||||||
\(182\) | −7.86375 | − | 13.6204i | −0.582900 | − | 1.00961i | ||||
\(183\) | 3.11772 | − | 5.40004i | 0.230468 | − | 0.399183i | ||||
\(184\) | 2.44187 | + | 2.04898i | 0.180017 | + | 0.151052i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 7.09438 | − | 2.58214i | 0.520185 | − | 0.189332i | ||||
\(187\) | −11.1746 | + | 9.37659i | −0.817166 | + | 0.685684i | ||||
\(188\) | 1.08992 | + | 6.18124i | 0.0794905 | + | 0.450813i | ||||
\(189\) | 12.4347 | 0.904490 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.3770 | −1.47442 | −0.737212 | − | 0.675661i | \(-0.763858\pi\) | ||||
−0.737212 | + | 0.675661i | \(0.763858\pi\) | |||||||
\(192\) | −0.290805 | − | 1.64924i | −0.0209871 | − | 0.119024i | ||||
\(193\) | 14.1218 | − | 11.8496i | 1.01651 | − | 0.852955i | 0.0273270 | − | 0.999627i | \(-0.491300\pi\) |
0.989185 | + | 0.146671i | \(0.0468560\pi\) | |||||||
\(194\) | 4.99561 | − | 1.81825i | 0.358664 | − | 0.130543i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.22615 | − | 1.02887i | −0.0875825 | − | 0.0734904i | ||||
\(197\) | −4.44834 | + | 7.70476i | −0.316931 | + | 0.548941i | −0.979846 | − | 0.199754i | \(-0.935986\pi\) |
0.662915 | + | 0.748695i | \(0.269319\pi\) | |||||||
\(198\) | 0.302446 | + | 0.523852i | 0.0214939 | + | 0.0372285i | ||||
\(199\) | 4.19553 | − | 23.7940i | 0.297413 | − | 1.68671i | −0.359817 | − | 0.933023i | \(-0.617161\pi\) |
0.657230 | − | 0.753690i | \(-0.271728\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.44023 | + | 7.69070i | 0.313190 | + | 0.542460i | ||||
\(202\) | −6.35330 | + | 11.0042i | −0.447017 | + | 0.774256i | ||||
\(203\) | 1.18089 | + | 0.990888i | 0.0828825 | + | 0.0695467i | ||||
\(204\) | 7.41710 | + | 2.69960i | 0.519301 | + | 0.189010i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 6.99133 | − | 5.86642i | 0.487109 | − | 0.408733i | ||||
\(207\) | 0.108182 | + | 0.613532i | 0.00751919 | + | 0.0426435i | ||||
\(208\) | −6.76843 | −0.469306 | ||||||||
\(209\) | 10.1514 | − | 8.88546i | 0.702185 | − | 0.614620i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.876981 | + | 4.97361i | 0.0603739 | + | 0.342397i | 1.00000 | 0.000194382i | \(6.18739e-5\pi\) | |
−0.939626 | + | 0.342203i | \(0.888827\pi\) | |||||||
\(212\) | 7.69393 | − | 6.45597i | 0.528421 | − | 0.443398i | ||||
\(213\) | 18.5860 | − | 6.76474i | 1.27349 | − | 0.463512i | ||||
\(214\) | −8.41470 | − | 3.06270i | −0.575217 | − | 0.209362i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 2.67567 | − | 4.63440i | 0.182057 | − | 0.315331i | ||||
\(217\) | 5.23767 | + | 9.07191i | 0.355556 | + | 0.615841i | ||||
\(218\) | 1.66582 | − | 9.44736i | 0.112824 | − | 0.639856i | ||||
\(219\) | −0.745759 | + | 4.22941i | −0.0503937 | + | 0.285797i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.9505 | − | 27.6271i | 1.07295 | − | 1.85840i | ||||
\(222\) | −12.2826 | − | 10.3063i | −0.824352 | − | 0.691713i | ||||
\(223\) | 2.60238 | + | 0.947189i | 0.174268 | + | 0.0634285i | 0.427681 | − | 0.903930i | \(-0.359331\pi\) |
−0.253412 | + | 0.967358i | \(0.581553\pi\) | |||||||
\(224\) | 2.18352 | − | 0.794737i | 0.145893 | − | 0.0531006i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.656313 | + | 3.72213i | 0.0436573 | + | 0.247593i | ||||
\(227\) | 11.4199 | 0.757967 | 0.378984 | − | 0.925403i | \(-0.376274\pi\) | ||||
0.378984 | + | 0.925403i | \(0.376274\pi\) | |||||||
\(228\) | −6.91014 | − | 2.35300i | −0.457635 | − | 0.155831i | ||||
\(229\) | −15.0259 | −0.992937 | −0.496469 | − | 0.868055i | \(-0.665370\pi\) | ||||
−0.496469 | + | 0.868055i | \(0.665370\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 9.22611 | − | 7.74163i | 0.607034 | − | 0.509362i | ||||
\(232\) | 0.623407 | − | 0.226901i | 0.0409286 | − | 0.0148968i | ||||
\(233\) | −7.44632 | − | 2.71024i | −0.487825 | − | 0.177554i | 0.0863852 | − | 0.996262i | \(-0.472468\pi\) |
−0.574210 | + | 0.818708i | \(0.694691\pi\) | |||||||
\(234\) | −1.01335 | − | 0.850300i | −0.0662447 | − | 0.0555859i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 5.09657 | + | 8.82751i | 0.331758 | + | 0.574622i | ||||
\(237\) | 4.79600 | − | 27.1995i | 0.311534 | − | 1.76680i | ||||
\(238\) | −1.90177 | + | 10.7855i | −0.123273 | + | 0.699118i | ||||
\(239\) | −7.40667 | − | 12.8287i | −0.479097 | − | 0.829821i | 0.520615 | − | 0.853791i | \(-0.325703\pi\) |
−0.999713 | + | 0.0239703i | \(0.992369\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.26586 | − | 5.25768i | −0.403620 | − | 0.338677i | 0.418271 | − | 0.908322i | \(-0.362636\pi\) |
−0.821891 | + | 0.569645i | \(0.807081\pi\) | |||||||
\(242\) | −1.33526 | − | 0.485995i | −0.0858338 | − | 0.0312410i | ||||
\(243\) | 1.90549 | − | 0.693542i | 0.122237 | − | 0.0444908i | ||||
\(244\) | 2.85225 | − | 2.39333i | 0.182597 | − | 0.153217i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 4.07738 | 0.259964 | ||||||||
\(247\) | −14.2152 | + | 25.8525i | −0.904488 | + | 1.64496i | ||||
\(248\) | 4.50813 | 0.286267 | ||||||||
\(249\) | 1.86974 | + | 10.6038i | 0.118490 | + | 0.671991i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −0.806527 | + | 0.293552i | −0.0509075 | + | 0.0185288i | −0.367348 | − | 0.930083i | \(-0.619734\pi\) |
0.316441 | + | 0.948612i | \(0.397512\pi\) | |||||||
\(252\) | 0.426751 | + | 0.155324i | 0.0268828 | + | 0.00978452i | ||||
\(253\) | 7.55761 | + | 6.34159i | 0.475143 | + | 0.398692i | ||||
\(254\) | 0.900509 | − | 1.55973i | 0.0565030 | − | 0.0978660i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −1.97617 | + | 11.2074i | −0.123270 | + | 0.699101i | 0.859050 | + | 0.511892i | \(0.171055\pi\) |
−0.982320 | + | 0.187209i | \(0.940056\pi\) | |||||||
\(258\) | −1.83140 | − | 3.17207i | −0.114018 | − | 0.197484i | ||||
\(259\) | 11.1236 | − | 19.2666i | 0.691185 | − | 1.19717i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0.121839 | + | 0.0443459i | 0.00754168 | + | 0.00274495i | ||||
\(262\) | 7.52548 | − | 2.73905i | 0.464926 | − | 0.169219i | ||||
\(263\) | −9.72539 | + | 8.16057i | −0.599693 | + | 0.503202i | −0.891347 | − | 0.453322i | \(-0.850239\pi\) |
0.291654 | + | 0.956524i | \(0.405794\pi\) | |||||||
\(264\) | −0.900044 | − | 5.10440i | −0.0553939 | − | 0.314154i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 1.55031 | − | 10.0092i | 0.0950554 | − | 0.613705i | ||||
\(267\) | 14.1648 | 0.866870 | ||||||||
\(268\) | 0.920817 | + | 5.22221i | 0.0562478 | + | 0.318997i | ||||
\(269\) | −16.7636 | + | 14.0663i | −1.02209 | + | 0.857639i | −0.989889 | − | 0.141842i | \(-0.954698\pi\) |
−0.0322055 | + | 0.999481i | \(0.510253\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.2666 | + | 4.82863i | 0.805886 | + | 0.293319i | 0.711924 | − | 0.702257i | \(-0.247824\pi\) |
0.0939629 | + | 0.995576i | \(0.470046\pi\) | |||||||
\(272\) | 3.61052 | + | 3.02959i | 0.218920 | + | 0.183696i | ||||
\(273\) | −13.1693 | + | 22.8099i | −0.797041 | + | 1.38052i | ||||
\(274\) | −9.60774 | − | 16.6411i | −0.580425 | − | 1.00533i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0.926983 | − | 5.25718i | 0.0557978 | − | 0.316445i | ||||
\(277\) | −9.12112 | − | 15.7982i | −0.548035 | − | 0.949225i | −0.998409 | − | 0.0563847i | \(-0.982043\pi\) |
0.450374 | − | 0.892840i | \(-0.351291\pi\) | |||||||
\(278\) | −0.539617 | + | 0.934644i | −0.0323641 | + | 0.0560562i | ||||
\(279\) | 0.674943 | + | 0.566344i | 0.0404078 | + | 0.0339062i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.2228 | + | 4.44872i | −0.729149 | + | 0.265389i | −0.679805 | − | 0.733393i | \(-0.737935\pi\) |
−0.0493445 | + | 0.998782i | \(0.515713\pi\) | |||||||
\(282\) | 8.05212 | − | 6.75653i | 0.479497 | − | 0.402346i | ||||
\(283\) | 0.505725 | + | 2.86811i | 0.0300622 | + | 0.170491i | 0.996142 | − | 0.0877507i | \(-0.0279679\pi\) |
−0.966080 | + | 0.258242i | \(0.916857\pi\) | |||||||
\(284\) | 11.8105 | 0.700822 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −20.9483 | −1.23870 | ||||||||
\(287\) | 0.982405 | + | 5.57149i | 0.0579895 | + | 0.328875i | ||||
\(288\) | 0.149717 | − | 0.125627i | 0.00882215 | − | 0.00740266i | ||||
\(289\) | −4.89983 | + | 1.78339i | −0.288225 | + | 0.104905i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −6.82007 | − | 5.72272i | −0.399799 | − | 0.335472i | ||||
\(292\) | −1.28223 | + | 2.22089i | −0.0750368 | + | 0.129968i | ||||
\(293\) | −0.680540 | − | 1.17873i | −0.0397575 | − | 0.0688621i | 0.845462 | − | 0.534036i | \(-0.179325\pi\) |
−0.885219 | + | 0.465174i | \(0.845992\pi\) | |||||||
\(294\) | −0.465472 | + | 2.63982i | −0.0271469 | + | 0.153958i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | −4.78710 | − | 8.29151i | −0.278245 | − | 0.481934i | ||||
\(297\) | 8.28122 | − | 14.3435i | 0.480525 | − | 0.832294i | ||||
\(298\) | 2.12048 | + | 1.77929i | 0.122836 | + | 0.103072i | ||||
\(299\) | −20.2742 | − | 7.37920i | −1.17249 | − | 0.426750i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 3.89319 | − | 3.26677i | 0.224400 | − | 0.188294i | ||||
\(302\) | 1.78395 | + | 10.1173i | 0.102655 | + | 0.582184i | ||||
\(303\) | 21.2795 | 1.22248 | ||||||||
\(304\) | −3.39684 | − | 2.73157i | −0.194822 | − | 0.156666i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.159957 | + | 0.907161i | 0.00914413 | + | 0.0518589i | ||||
\(307\) | −1.00946 | + | 0.847040i | −0.0576131 | + | 0.0483431i | −0.671140 | − | 0.741331i | \(-0.734195\pi\) |
0.613526 | + | 0.789674i | \(0.289750\pi\) | |||||||
\(308\) | 6.75800 | − | 2.45971i | 0.385073 | − | 0.140155i | ||||
\(309\) | −14.3623 | − | 5.22745i | −0.817042 | − | 0.297379i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.94243 | − | 5.09644i | 0.166850 | − | 0.288993i | −0.770461 | − | 0.637487i | \(-0.779974\pi\) |
0.937311 | + | 0.348495i | \(0.113307\pi\) | |||||||
\(312\) | 5.66749 | + | 9.81637i | 0.320858 | + | 0.555743i | ||||
\(313\) | 1.08099 | − | 6.13058i | 0.0611010 | − | 0.346521i | −0.938896 | − | 0.344200i | \(-0.888150\pi\) |
0.999997 | − | 0.00232080i | \(-0.000738735\pi\) | |||||||
\(314\) | −1.21061 | + | 6.86569i | −0.0683185 | + | 0.387453i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.24607 | − | 14.2826i | 0.463878 | − | 0.803460i | ||||
\(317\) | −16.4488 | − | 13.8022i | −0.923856 | − | 0.775207i | 0.0508485 | − | 0.998706i | \(-0.483807\pi\) |
−0.974704 | + | 0.223500i | \(0.928252\pi\) | |||||||
\(318\) | −15.8056 | − | 5.75278i | −0.886337 | − | 0.322600i | ||||
\(319\) | 1.92945 | − | 0.702261i | 0.108028 | − | 0.0393190i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 2.60408 | + | 14.7685i | 0.145346 | + | 0.824297i | ||||
\(322\) | 7.40697 | 0.412775 | ||||||||
\(323\) | 19.1546 | − | 7.42786i | 1.06579 | − | 0.413297i | ||||
\(324\) | −8.37548 | −0.465304 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 3.85322 | − | 3.23323i | 0.213410 | − | 0.179072i | ||||
\(327\) | −15.0965 | + | 5.49469i | −0.834840 | + | 0.303857i | ||||
\(328\) | 2.28789 | + | 0.832723i | 0.126327 | + | 0.0459794i | ||||
\(329\) | 11.1725 | + | 9.37482i | 0.615959 | + | 0.516851i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −10.2669 | − | 17.7827i | −0.564318 | − | 0.977427i | −0.997113 | − | 0.0759348i | \(-0.975806\pi\) |
0.432795 | − | 0.901492i | \(-0.357527\pi\) | |||||||
\(332\) | −1.11648 | + | 6.33185i | −0.0612746 | + | 0.347506i | ||||
\(333\) | 0.324930 | − | 1.84277i | 0.0178061 | − | 0.100983i | ||||
\(334\) | −2.95438 | − | 5.11713i | −0.161656 | − | 0.279997i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −2.98097 | − | 2.50133i | −0.162625 | − | 0.136459i | ||||
\(337\) | −30.5745 | − | 11.1282i | −1.66550 | − | 0.606192i | −0.674287 | − | 0.738469i | \(-0.735549\pi\) |
−0.991213 | + | 0.132277i | \(0.957771\pi\) | |||||||
\(338\) | 30.8329 | − | 11.2223i | 1.67709 | − | 0.610411i | ||||
\(339\) | 4.84872 | − | 4.06856i | 0.263346 | − | 0.220974i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 13.9527 | 0.755580 | ||||||||
\(342\) | −0.165405 | − | 0.835698i | −0.00894408 | − | 0.0451894i | ||||
\(343\) | −19.9849 | −1.07908 | ||||||||
\(344\) | −0.379796 | − | 2.15393i | −0.0204772 | − | 0.116132i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.1775 | − | 6.61608i | 0.977230 | − | 0.355683i | ||||
\(347\) | 0.243254 | + | 0.0885371i | 0.0130585 | + | 0.00475292i | 0.348541 | − | 0.937293i | \(-0.386677\pi\) |
−0.335483 | + | 0.942046i | \(0.608899\pi\) | |||||||
\(348\) | −0.851083 | − | 0.714143i | −0.0456228 | − | 0.0382821i | ||||
\(349\) | 15.5129 | − | 26.8692i | 0.830387 | − | 1.43827i | −0.0673443 | − | 0.997730i | \(-0.521453\pi\) |
0.897732 | − | 0.440543i | \(-0.145214\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.28958 | + | 35.6700i | −0.335713 | + | 1.90392i | ||||
\(352\) | 0.537442 | − | 3.04798i | 0.0286457 | − | 0.162458i | ||||
\(353\) | −5.19728 | − | 9.00195i | −0.276623 | − | 0.479125i | 0.693920 | − | 0.720052i | \(-0.255882\pi\) |
−0.970543 | + | 0.240927i | \(0.922549\pi\) | |||||||
\(354\) | 8.53513 | − | 14.7833i | 0.453637 | − | 0.785722i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 7.94810 | + | 2.89287i | 0.421248 | + | 0.153322i | ||||
\(357\) | 17.2348 | − | 6.27295i | 0.912161 | − | 0.332000i | ||||
\(358\) | 6.05940 | − | 5.08444i | 0.320249 | − | 0.268721i | ||||
\(359\) | 4.15028 | + | 23.5374i | 0.219044 | + | 1.24226i | 0.873750 | + | 0.486375i | \(0.161681\pi\) |
−0.654707 | + | 0.755883i | \(0.727208\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −17.5675 | + | 7.23760i | −0.924605 | + | 0.380926i | ||||
\(362\) | 13.9145 | 0.731332 | ||||||||
\(363\) | 0.413222 | + | 2.34350i | 0.0216885 | + | 0.123002i | ||||
\(364\) | −12.0480 | + | 10.1094i | −0.631485 | + | 0.529879i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −5.85939 | − | 2.13264i | −0.306275 | − | 0.111475i | ||||
\(367\) | 28.5180 | + | 23.9294i | 1.48863 | + | 1.24911i | 0.896331 | + | 0.443385i | \(0.146222\pi\) |
0.592295 | + | 0.805721i | \(0.298222\pi\) | |||||||
\(368\) | 1.59382 | − | 2.76058i | 0.0830836 | − | 0.143905i | ||||
\(369\) | 0.237922 | + | 0.412094i | 0.0123857 | + | 0.0214527i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 4.05262 | − | 22.9835i | 0.210402 | − | 1.19325i | ||||
\(372\) | −3.77484 | − | 6.53822i | −0.195716 | − | 0.338991i | ||||
\(373\) | −3.31321 | + | 5.73866i | −0.171552 | + | 0.297136i | −0.938963 | − | 0.344019i | \(-0.888211\pi\) |
0.767411 | + | 0.641156i | \(0.221545\pi\) | |||||||
\(374\) | 11.1746 | + | 9.37659i | 0.577824 | + | 0.484852i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.89807 | − | 2.14672i | 0.304170 | − | 0.110709i | ||||
\(377\) | −3.43976 | + | 2.88630i | −0.177156 | + | 0.148652i | ||||
\(378\) | −2.15926 | − | 12.2458i | −0.111060 | − | 0.629854i | ||||
\(379\) | 24.9336 | 1.28075 | 0.640377 | − | 0.768060i | \(-0.278778\pi\) | ||||
0.640377 | + | 0.768060i | \(0.278778\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −3.01613 | −0.154521 | ||||||||
\(382\) | 3.53842 | + | 20.0674i | 0.181041 | + | 1.02674i | ||||
\(383\) | −13.1589 | + | 11.0417i | −0.672390 | + | 0.564203i | −0.913772 | − | 0.406228i | \(-0.866844\pi\) |
0.241381 | + | 0.970430i | \(0.422400\pi\) | |||||||
\(384\) | −1.57369 | + | 0.572775i | −0.0803068 | + | 0.0292293i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −14.1218 | − | 11.8496i | −0.718783 | − | 0.603130i | ||||
\(387\) | 0.213731 | − | 0.370192i | 0.0108645 | − | 0.0188179i | ||||
\(388\) | −2.65811 | − | 4.60398i | −0.134945 | − | 0.233731i | ||||
\(389\) | −3.89323 | + | 22.0796i | −0.197394 | + | 1.11948i | 0.711573 | + | 0.702612i | \(0.247983\pi\) |
−0.908967 | + | 0.416867i | \(0.863128\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 7.51200 | + | 13.0112i | 0.379898 | + | 0.658003i | ||||
\(392\) | −0.800316 | + | 1.38619i | −0.0404220 | + | 0.0700130i | ||||
\(393\) | −10.2739 | − | 8.62081i | −0.518249 | − | 0.434862i | ||||
\(394\) | 8.36015 | + | 3.04285i | 0.421178 | + | 0.153296i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.463374 | − | 0.388817i | 0.0232854 | − | 0.0195388i | ||||
\(397\) | 6.53610 | + | 37.0681i | 0.328038 | + | 1.86039i | 0.487408 | + | 0.873175i | \(0.337943\pi\) |
−0.159370 | + | 0.987219i | \(0.550946\pi\) | |||||||
\(398\) | −24.1611 | −1.21108 | ||||||||
\(399\) | −15.8147 | + | 6.13269i | −0.791724 | + | 0.307019i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 3.13998 | + | 17.8077i | 0.156803 | + | 0.889273i | 0.957119 | + | 0.289695i | \(0.0935539\pi\) |
−0.800316 | + | 0.599578i | \(0.795335\pi\) | |||||||
\(402\) | 6.80282 | − | 5.70825i | 0.339294 | − | 0.284702i | ||||
\(403\) | −28.6728 | + | 10.4361i | −1.42830 | + | 0.519857i | ||||
\(404\) | 11.9403 | + | 4.34592i | 0.594053 | + | 0.216217i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.770774 | − | 1.33502i | 0.0382529 | − | 0.0662559i | ||||
\(407\) | −14.8161 | − | 25.6622i | −0.734407 | − | 1.27203i | ||||
\(408\) | 1.37063 | − | 7.77320i | 0.0678561 | − | 0.384831i | ||||
\(409\) | −2.43421 | + | 13.8051i | −0.120364 | + | 0.682618i | 0.863590 | + | 0.504195i | \(0.168211\pi\) |
−0.983954 | + | 0.178423i | \(0.942900\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −16.0899 | + | 27.8685i | −0.793657 | + | 1.37465i | ||||
\(412\) | −6.99133 | − | 5.86642i | −0.344438 | − | 0.289018i | ||||
\(413\) | 22.2569 | + | 8.10085i | 1.09519 | + | 0.398617i | ||||
\(414\) | 0.585426 | − | 0.213078i | 0.0287721 | − | 0.0104722i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 1.17533 | + | 6.66561i | 0.0576251 | + | 0.326808i | ||||
\(417\) | 1.80737 | 0.0885075 | ||||||||
\(418\) | −10.5132 | − | 8.45421i | −0.514219 | − | 0.413509i | ||||
\(419\) | −24.5099 | −1.19739 | −0.598693 | − | 0.800978i | \(-0.704313\pi\) | ||||
−0.598693 | + | 0.800978i | \(0.704313\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −28.5396 | + | 23.9475i | −1.39093 | + | 1.16713i | −0.425974 | + | 0.904736i | \(0.640068\pi\) |
−0.964960 | + | 0.262396i | \(0.915487\pi\) | |||||||
\(422\) | 4.74576 | − | 1.72732i | 0.231020 | − | 0.0840844i | ||||
\(423\) | 1.15273 | + | 0.419558i | 0.0560475 | + | 0.0203996i | ||||
\(424\) | −7.69393 | − | 6.45597i | −0.373650 | − | 0.313530i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −9.88938 | − | 17.1289i | −0.479142 | − | 0.829899i | ||||
\(427\) | 1.50237 | − | 8.52035i | 0.0727046 | − | 0.412328i | ||||
\(428\) | −1.55497 | + | 8.81869i | −0.0751625 | + | 0.426267i | ||||
\(429\) | 17.5409 | + | 30.3817i | 0.846882 | + | 1.46684i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.57632 | − | 3.00089i | −0.172265 | − | 0.144548i | 0.552579 | − | 0.833461i | \(-0.313644\pi\) |
−0.724844 | + | 0.688913i | \(0.758088\pi\) | |||||||
\(432\) | −5.02862 | − | 1.83027i | −0.241940 | − | 0.0880588i | ||||
\(433\) | −25.9265 | + | 9.43648i | −1.24595 | + | 0.453488i | −0.879031 | − | 0.476765i | \(-0.841809\pi\) |
−0.366918 | + | 0.930253i | \(0.619587\pi\) | |||||||
\(434\) | 8.02457 | − | 6.73342i | 0.385192 | − | 0.323214i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −9.59310 | −0.459426 | ||||||||
\(437\) | −7.19685 | − | 11.8855i | −0.344272 | − | 0.568561i | ||||
\(438\) | 4.29465 | 0.205206 | ||||||||
\(439\) | 1.01404 | + | 5.75093i | 0.0483977 | + | 0.274477i | 0.999397 | − | 0.0347154i | \(-0.0110525\pi\) |
−0.951000 | + | 0.309192i | \(0.899941\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −0.293964 | + | 0.106994i | −0.0139983 | + | 0.00509496i | ||||
\(442\) | −29.9771 | − | 10.9108i | −1.42587 | − | 0.518973i | ||||
\(443\) | −28.0241 | − | 23.5150i | −1.33146 | − | 1.11723i | −0.983733 | − | 0.179635i | \(-0.942508\pi\) |
−0.347730 | − | 0.937595i | \(-0.613047\pi\) | |||||||
\(444\) | −8.01688 | + | 13.8856i | −0.380464 | + | 0.658983i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0.480901 | − | 2.72732i | 0.0227713 | − | 0.129143i | ||||
\(447\) | 0.804975 | − | 4.56524i | 0.0380740 | − | 0.215929i | ||||
\(448\) | −1.16183 | − | 2.01234i | −0.0548912 | − | 0.0950743i | ||||
\(449\) | −8.87052 | + | 15.3642i | −0.418626 | + | 0.725081i | −0.995802 | − | 0.0915387i | \(-0.970821\pi\) |
0.577176 | + | 0.816620i | \(0.304155\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.08102 | + | 2.57728i | 0.333432 | + | 0.121359i | ||||
\(452\) | 3.55162 | − | 1.29268i | 0.167054 | − | 0.0608027i | ||||
\(453\) | 13.1795 | − | 11.0589i | 0.619227 | − | 0.519593i | ||||
\(454\) | −1.98305 | − | 11.2464i | −0.0930692 | − | 0.527821i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.11732 | + | 7.21375i | −0.0523234 | + | 0.337815i | ||||
\(457\) | −35.9758 | −1.68288 | −0.841438 | − | 0.540354i | \(-0.818290\pi\) | ||||
−0.841438 | + | 0.540354i | \(0.818290\pi\) | |||||||
\(458\) | 2.60921 | + | 14.7976i | 0.121921 | + | 0.691446i | ||||
\(459\) | 19.3212 | − | 16.2124i | 0.901835 | − | 0.756729i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −35.7175 | − | 13.0001i | −1.66353 | − | 0.605476i | −0.672620 | − | 0.739988i | \(-0.734831\pi\) |
−0.990912 | + | 0.134512i | \(0.957053\pi\) | |||||||
\(462\) | −9.22611 | − | 7.74163i | −0.429238 | − | 0.360173i | ||||
\(463\) | −10.1192 | + | 17.5270i | −0.470281 | + | 0.814551i | −0.999422 | − | 0.0339831i | \(-0.989181\pi\) |
0.529141 | + | 0.848534i | \(0.322514\pi\) | |||||||
\(464\) | −0.331708 | − | 0.574535i | −0.0153991 | − | 0.0266721i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.37602 | + | 7.80382i | −0.0637431 | + | 0.361505i | ||||
\(467\) | 9.70916 | + | 16.8168i | 0.449286 | + | 0.778186i | 0.998340 | − | 0.0576007i | \(-0.0183450\pi\) |
−0.549054 | + | 0.835787i | \(0.685012\pi\) | |||||||
\(468\) | −0.661416 | + | 1.14561i | −0.0305740 | + | 0.0529557i | ||||
\(469\) | 9.43905 | + | 7.92031i | 0.435855 | + | 0.365726i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 10.9711 | − | 3.99316i | 0.505522 | − | 0.183995i | ||||
\(472\) | 7.80839 | − | 6.55202i | 0.359410 | − | 0.301581i | ||||
\(473\) | −1.17547 | − | 6.66642i | −0.0540481 | − | 0.306522i | ||||
\(474\) | −27.6191 | −1.26859 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 10.9519 | 0.501977 | ||||||||
\(477\) | −0.340864 | − | 1.93314i | −0.0156071 | − | 0.0885122i | ||||
\(478\) | −11.3477 | + | 9.52183i | −0.519030 | + | 0.435518i | ||||
\(479\) | 6.88996 | − | 2.50774i | 0.314810 | − | 0.114582i | −0.179782 | − | 0.983706i | \(-0.557539\pi\) |
0.494593 | + | 0.869125i | \(0.335317\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 49.6415 | + | 41.6542i | 2.26346 | + | 1.89927i | ||||
\(482\) | −4.08975 | + | 7.08366i | −0.186283 | + | 0.322652i | ||||
\(483\) | −6.20216 | − | 10.7425i | −0.282208 | − | 0.488799i | ||||
\(484\) | −0.246746 | + | 1.39937i | −0.0112157 | + | 0.0636076i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −1.01389 | − | 1.75611i | −0.0459910 | − | 0.0796588i | ||||
\(487\) | −11.5058 | + | 19.9286i | −0.521376 | + | 0.903049i | 0.478315 | + | 0.878188i | \(0.341248\pi\) |
−0.999691 | + | 0.0248610i | \(0.992086\pi\) | |||||||
\(488\) | −2.85225 | − | 2.39333i | −0.129115 | − | 0.108341i | ||||
\(489\) | −7.91567 | − | 2.88107i | −0.357959 | − | 0.130286i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 16.1944 | − | 13.5887i | 0.730842 | − | 0.613249i | −0.199519 | − | 0.979894i | \(-0.563938\pi\) |
0.930361 | + | 0.366645i | \(0.119494\pi\) | |||||||
\(492\) | −0.708029 | − | 4.01543i | −0.0319204 | − | 0.181030i | ||||
\(493\) | 3.12681 | 0.140825 | ||||||||
\(494\) | 27.9282 | + | 9.50995i | 1.25655 | + | 0.427873i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.782829 | − | 4.43964i | −0.0351500 | − | 0.199346i | ||||
\(497\) | 21.0229 | − | 17.6403i | 0.943005 | − | 0.791275i | ||||
\(498\) | 10.1181 | − | 3.68267i | 0.453401 | − | 0.165025i | ||||
\(499\) | −12.7827 | − | 4.65252i | −0.572232 | − | 0.208275i | 0.0396647 | − | 0.999213i | \(-0.487371\pi\) |
−0.611897 | + | 0.790938i | \(0.709593\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.94764 | + | 8.56957i | −0.221044 | + | 0.382860i | ||||
\(502\) | 0.429144 | + | 0.743299i | 0.0191536 | + | 0.0331751i | ||||
\(503\) | 1.42656 | − | 8.09040i | 0.0636070 | − | 0.360733i | −0.936346 | − | 0.351078i | \(-0.885815\pi\) |
0.999953 | − | 0.00965567i | \(-0.00307354\pi\) | |||||||
\(504\) | 0.0788603 | − | 0.447239i | 0.00351272 | − | 0.0199216i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 4.93288 | − | 8.54400i | 0.219293 | − | 0.379827i | ||||
\(507\) | −42.0935 | − | 35.3206i | −1.86944 | − | 1.56864i | ||||
\(508\) | −1.69240 | − | 0.615985i | −0.0750883 | − | 0.0273299i | ||||
\(509\) | 5.81193 | − | 2.11537i | 0.257609 | − | 0.0937621i | −0.209987 | − | 0.977704i | \(-0.567342\pi\) |
0.467597 | + | 0.883942i | \(0.345120\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1.03476 | + | 5.86839i | 0.0457749 | + | 0.259602i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −17.5520 | + | 15.3632i | −0.774940 | + | 0.678302i | ||||
\(514\) | 11.3803 | 0.501965 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −2.80586 | + | 2.35440i | −0.123521 | + | 0.103647i | ||||
\(517\) | 18.2545 | − | 6.64411i | 0.802834 | − | 0.292208i | ||||
\(518\) | −20.9055 | − | 7.60897i | −0.918534 | − | 0.334319i | ||||
\(519\) | −24.8162 | − | 20.8233i | −1.08931 | − | 0.914040i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 8.76833 | + | 15.1872i | 0.384148 | + | 0.665363i | 0.991651 | − | 0.128954i | \(-0.0411620\pi\) |
−0.607503 | + | 0.794317i | \(0.707829\pi\) | |||||||
\(522\) | 0.0225150 | − | 0.127689i | 0.000985456 | − | 0.00558880i | ||||
\(523\) | −0.0595191 | + | 0.337550i | −0.00260259 | + | 0.0147600i | −0.986081 | − | 0.166263i | \(-0.946830\pi\) |
0.983479 | + | 0.181023i | \(0.0579409\pi\) | |||||||
\(524\) | −4.00423 | − | 6.93552i | −0.174925 | − | 0.302980i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 9.72539 | + | 8.16057i | 0.424047 | + | 0.355818i | ||||
\(527\) | 19.9663 | + | 7.26715i | 0.869747 | + | 0.316562i | ||||
\(528\) | −4.87056 | + | 1.77274i | −0.211964 | + | 0.0771486i | ||||
\(529\) | −9.83521 | + | 8.25272i | −0.427618 | + | 0.358814i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.99216 | 0.0864524 | ||||||||
\(532\) | −10.1264 | + | 0.211329i | −0.439034 | + | 0.00916227i | ||||
\(533\) | −16.4792 | −0.713795 | ||||||||
\(534\) | −2.45969 | − | 13.9496i | −0.106441 | − | 0.603657i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 4.98298 | − | 1.81366i | 0.215232 | − | 0.0783380i | ||||
\(537\) | −12.4478 | − | 4.53064i | −0.537164 | − | 0.195512i | ||||
\(538\) | 16.7636 | + | 14.0663i | 0.722730 | + | 0.606443i | ||||
\(539\) | −2.47698 | + | 4.29025i | −0.106691 | + | 0.184794i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.40498 | − | 30.6532i | 0.232378 | − | 1.31788i | −0.615687 | − | 0.787991i | \(-0.711121\pi\) |
0.848065 | − | 0.529892i | \(-0.177767\pi\) | |||||||
\(542\) | 2.45156 | − | 13.9035i | 0.105304 | − | 0.597206i | ||||
\(543\) | −11.6512 | − | 20.1805i | −0.500002 | − | 0.866028i | ||||
\(544\) | 2.35660 | − | 4.08175i | 0.101038 | − | 0.175004i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 24.7501 | + | 9.00832i | 1.05921 | + | 0.385520i | ||||
\(547\) | 20.5259 | − | 7.47082i | 0.877625 | − | 0.319429i | 0.136374 | − | 0.990657i | \(-0.456455\pi\) |
0.741251 | + | 0.671228i | \(0.234233\pi\) | |||||||
\(548\) | −14.7199 | + | 12.3515i | −0.628804 | + | 0.527629i | ||||
\(549\) | −0.126363 | − | 0.716642i | −0.00539306 | − | 0.0305855i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −2.89113 | + | 0.0603355i | −0.123166 | + | 0.00257038i | ||||
\(552\) | −5.33828 | −0.227212 | ||||||||
\(553\) | −6.65455 | − | 37.7398i | −0.282980 | − | 1.60486i | ||||
\(554\) | −13.9744 | + | 11.7259i | −0.593714 | + | 0.498185i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.01415 | + | 0.369120i | 0.0430095 | + | 0.0156542i | ||||
\(557\) | 5.09607 | + | 4.27611i | 0.215928 | + | 0.181185i | 0.744335 | − | 0.667806i | \(-0.232766\pi\) |
−0.528408 | + | 0.848991i | \(0.677211\pi\) | |||||||
\(558\) | 0.440538 | − | 0.763034i | 0.0186495 | − | 0.0323018i | ||||
\(559\) | 7.40181 | + | 12.8203i | 0.313063 | + | 0.542242i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 4.24209 | − | 24.0581i | 0.179101 | − | 1.01573i | ||||
\(562\) | 6.50360 | + | 11.2646i | 0.274338 | + | 0.475167i | ||||
\(563\) | 3.63425 | − | 6.29471i | 0.153165 | − | 0.265290i | −0.779224 | − | 0.626745i | \(-0.784387\pi\) |
0.932390 | + | 0.361455i | \(0.117720\pi\) | |||||||
\(564\) | −8.05212 | − | 6.75653i | −0.339055 | − | 0.284501i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 2.73672 | − | 0.996084i | 0.115033 | − | 0.0418685i | ||||
\(567\) | −14.9085 | + | 12.5097i | −0.626100 | + | 0.525360i | ||||
\(568\) | −2.05087 | − | 11.6310i | −0.0860524 | − | 0.488027i | ||||
\(569\) | −17.9593 | −0.752892 | −0.376446 | − | 0.926438i | \(-0.622854\pi\) | ||||
−0.376446 | + | 0.926438i | \(0.622854\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.175164 | −0.00733040 | −0.00366520 | − | 0.999993i | \(-0.501167\pi\) | ||||
−0.00366520 | + | 0.999993i | \(0.501167\pi\) | |||||||
\(572\) | 3.63764 | + | 20.6301i | 0.152097 | + | 0.862587i | ||||
\(573\) | 26.1412 | − | 21.9351i | 1.09206 | − | 0.916351i | ||||
\(574\) | 5.31626 | − | 1.93496i | 0.221896 | − | 0.0807636i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −0.149717 | − | 0.125627i | −0.00623820 | − | 0.00523447i | ||||
\(577\) | −21.4197 | + | 37.0999i | −0.891712 | + | 1.54449i | −0.0538907 | + | 0.998547i | \(0.517162\pi\) |
−0.837822 | + | 0.545944i | \(0.816171\pi\) | |||||||
\(578\) | 2.60714 | + | 4.51570i | 0.108443 | + | 0.187829i | ||||
\(579\) | −5.36093 | + | 30.4033i | −0.222792 | + | 1.26352i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.47001 | + | 12.9384i | 0.309908 | + | 0.536776i | ||||
\(582\) | −4.45148 | + | 7.71019i | −0.184520 | + | 0.319598i | ||||
\(583\) | −23.8127 | − | 19.9813i | −0.986223 | − | 0.827539i | ||||
\(584\) | 2.40980 | + | 0.877097i | 0.0997184 | + | 0.0362945i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.04265 | + | 0.874885i | −0.0430714 | + | 0.0361412i | ||||
\(587\) | −6.74126 | − | 38.2316i | −0.278242 | − | 1.57799i | −0.728472 | − | 0.685075i | \(-0.759769\pi\) |
0.450231 | − | 0.892912i | \(-0.351342\pi\) | |||||||
\(588\) | 2.68055 | 0.110544 | ||||||||
\(589\) | −18.6016 | − | 6.33412i | −0.766467 | − | 0.260993i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.58721 | − | 14.6728i | −0.106423 | − | 0.603557i | ||||
\(592\) | −7.33427 | + | 6.15418i | −0.301437 | + | 0.252935i | ||||
\(593\) | 35.1745 | − | 12.8025i | 1.44444 | − | 0.525735i | 0.503411 | − | 0.864047i | \(-0.332078\pi\) |
0.941034 | + | 0.338312i | \(0.109856\pi\) | |||||||
\(594\) | −15.5636 | − | 5.66469i | −0.638582 | − | 0.232425i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 1.38404 | − | 2.39724i | 0.0566927 | − | 0.0981946i | ||||
\(597\) | 20.2310 | + | 35.0412i | 0.828002 | + | 1.43414i | ||||
\(598\) | −3.74652 | + | 21.2476i | −0.153206 | + | 0.868877i | ||||
\(599\) | 7.72566 | − | 43.8144i | 0.315662 | − | 1.79021i | −0.252822 | − | 0.967513i | \(-0.581359\pi\) |
0.568484 | − | 0.822694i | \(-0.307530\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −2.34958 | + | 4.06960i | −0.0958415 | + | 0.166002i | −0.909959 | − | 0.414697i | \(-0.863888\pi\) |
0.814118 | + | 0.580699i | \(0.197221\pi\) | |||||||
\(602\) | −3.89319 | − | 3.26677i | −0.158674 | − | 0.133144i | ||||
\(603\) | 0.973880 | + | 0.354463i | 0.0396595 | + | 0.0144349i | ||||
\(604\) | 9.65380 | − | 3.51370i | 0.392808 | − | 0.142970i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −3.69515 | − | 20.9562i | −0.150105 | − | 0.851289i | ||||
\(607\) | 35.6234 | 1.44591 | 0.722954 | − | 0.690896i | \(-0.242784\pi\) | ||||
0.722954 | + | 0.690896i | \(0.242784\pi\) | |||||||
\(608\) | −2.10021 | + | 3.81957i | −0.0851749 | + | 0.154904i | ||||
\(609\) | −2.58160 | −0.104612 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −32.5436 | + | 27.3074i | −1.31657 | + | 1.10474i | ||||
\(612\) | 0.865603 | − | 0.315054i | 0.0349899 | − | 0.0127353i | ||||
\(613\) | −7.63724 | − | 2.77973i | −0.308465 | − | 0.112272i | 0.183149 | − | 0.983085i | \(-0.441371\pi\) |
−0.491615 | + | 0.870813i | \(0.663593\pi\) | |||||||
\(614\) | 1.00946 | + | 0.847040i | 0.0407386 | + | 0.0341837i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.59586 | − | 6.22821i | −0.144881 | − | 0.250942i | ||||
\(617\) | 7.17684 | − | 40.7019i | 0.288929 | − | 1.63860i | −0.401975 | − | 0.915651i | \(-0.631676\pi\) |
0.690904 | − | 0.722946i | \(-0.257213\pi\) | |||||||
\(618\) | −2.65404 | + | 15.0518i | −0.106761 | + | 0.605474i | ||||
\(619\) | 17.2816 | + | 29.9327i | 0.694608 | + | 1.20310i | 0.970313 | + | 0.241854i | \(0.0777555\pi\) |
−0.275705 | + | 0.961242i | \(0.588911\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −13.0673 | − | 10.9648i | −0.524373 | − | 0.440001i | ||||
\(622\) | −5.52996 | − | 2.01274i | −0.221731 | − | 0.0807036i | ||||
\(623\) | 18.4686 | − | 6.72203i | 0.739930 | − | 0.269313i | ||||
\(624\) | 8.68309 | − | 7.28598i | 0.347602 | − | 0.291673i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −6.22515 | −0.248807 | ||||||||
\(627\) | −3.45812 | + | 22.3266i | −0.138104 | + | 0.891638i | ||||
\(628\) | 6.97160 | 0.278197 | ||||||||
\(629\) | −7.83591 | − | 44.4396i | −0.312438 | − | 1.77192i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 0.914627 | − | 0.332897i | 0.0364107 | − | 0.0132524i | −0.323751 | − | 0.946142i | \(-0.604944\pi\) |
0.360161 | + | 0.932890i | \(0.382722\pi\) | |||||||
\(632\) | −15.4975 | − | 5.64064i | −0.616459 | − | 0.224373i | ||||
\(633\) | −6.47897 | − | 5.43650i | −0.257516 | − | 0.216082i | ||||
\(634\) | −10.7362 | + | 18.5956i | −0.426388 | + | 0.738526i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −2.92077 | + | 16.5645i | −0.115816 | + | 0.656824i | ||||
\(637\) | 1.88126 | − | 10.6692i | 0.0745384 | − | 0.422728i | ||||
\(638\) | −1.02664 | − | 1.77819i | −0.0406449 | − | 0.0703991i | ||||
\(639\) | 1.15413 | − | 1.99901i | 0.0456566 | − | 0.0790795i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 30.0851 | + | 10.9501i | 1.18829 | + | 0.432502i | 0.859123 | − | 0.511770i | \(-0.171010\pi\) |
0.329167 | + | 0.944272i | \(0.393232\pi\) | |||||||
\(642\) | 14.0919 | − | 5.12905i | 0.556164 | − | 0.202427i | ||||
\(643\) | −15.2535 | + | 12.7992i | −0.601540 | + | 0.504752i | −0.891940 | − | 0.452153i | \(-0.850656\pi\) |
0.290400 | + | 0.956905i | \(0.406212\pi\) | |||||||
\(644\) | −1.28621 | − | 7.29445i | −0.0506837 | − | 0.287441i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −10.6412 | − | 17.5738i | −0.418671 | − | 0.691430i | ||||
\(647\) | −30.2057 | −1.18751 | −0.593753 | − | 0.804647i | \(-0.702355\pi\) | ||||
−0.593753 | + | 0.804647i | \(0.702355\pi\) | |||||||
\(648\) | 1.45439 | + | 8.24824i | 0.0571337 | + | 0.324021i | ||||
\(649\) | 24.1670 | − | 20.2785i | 0.948638 | − | 0.796001i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −16.4849 | − | 6.00001i | −0.646094 | − | 0.235159i | ||||
\(652\) | −3.85322 | − | 3.23323i | −0.150904 | − | 0.126623i | ||||
\(653\) | −3.44070 | + | 5.95947i | −0.134645 | + | 0.233212i | −0.925462 | − | 0.378841i | \(-0.876323\pi\) |
0.790817 | + | 0.612053i | \(0.209656\pi\) | |||||||
\(654\) | 8.03269 | + | 13.9130i | 0.314103 | + | 0.544043i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0.422784 | − | 2.39773i | 0.0165070 | − | 0.0936156i | ||||
\(657\) | 0.250601 | + | 0.434053i | 0.00977687 | + | 0.0169340i | ||||
\(658\) | 7.29232 | − | 12.6307i | 0.284284 | − | 0.492395i | ||||
\(659\) | −26.2163 | − | 21.9981i | −1.02124 | − | 0.856925i | −0.0314603 | − | 0.999505i | \(-0.510016\pi\) |
−0.989783 | + | 0.142580i | \(0.954460\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 15.7427 | − | 5.72986i | 0.612319 | − | 0.222866i | −0.0171986 | − | 0.999852i | \(-0.505475\pi\) |
0.629518 | + | 0.776986i | \(0.283253\pi\) | |||||||
\(662\) | −15.7297 | + | 13.1988i | −0.611354 | + | 0.512987i | ||||
\(663\) | 9.27698 | + | 52.6124i | 0.360288 | + | 2.04330i | ||||
\(664\) | 6.42953 | 0.249514 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.87120 | −0.0725074 | ||||||||
\(667\) | −0.367219 | − | 2.08260i | −0.0142188 | − | 0.0806387i | ||||
\(668\) | −4.52637 | + | 3.79808i | −0.175131 | + | 0.146952i | ||||
\(669\) | −4.35816 | + | 1.58624i | −0.168496 | + | 0.0613276i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.82774 | − | 7.40735i | −0.340791 | − | 0.285958i | ||||
\(672\) | −1.94569 | + | 3.37003i | −0.0750566 | + | 0.130002i | ||||
\(673\) | 4.89013 | + | 8.46996i | 0.188501 | + | 0.326493i | 0.944751 | − | 0.327790i | \(-0.106304\pi\) |
−0.756250 | + | 0.654283i | \(0.772971\pi\) | |||||||
\(674\) | −5.64994 | + | 32.0424i | −0.217628 | + | 1.23423i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −16.4058 | − | 28.4158i | −0.630994 | − | 1.09291i | ||||
\(677\) | −2.90819 | + | 5.03714i | −0.111771 | + | 0.193593i | −0.916484 | − | 0.400071i | \(-0.868986\pi\) |
0.804713 | + | 0.593663i | \(0.202319\pi\) | |||||||
\(678\) | −4.84872 | − | 4.06856i | −0.186214 | − | 0.156252i | ||||
\(679\) | −11.6081 | − | 4.22499i | −0.445477 | − | 0.162140i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −14.6504 | + | 12.2932i | −0.561405 | + | 0.471075i | ||||
\(682\) | −2.42286 | − | 13.7407i | −0.0927760 | − | 0.526159i | ||||
\(683\) | 28.5207 | 1.09131 | 0.545657 | − | 0.838008i | \(-0.316280\pi\) | ||||
0.545657 | + | 0.838008i | \(0.316280\pi\) | |||||||
\(684\) | −0.794280 | + | 0.308010i | −0.0303700 | + | 0.0117770i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 3.47034 | + | 19.6813i | 0.132498 | + | 0.751435i | ||||
\(687\) | 19.2764 | − | 16.1748i | 0.735440 | − | 0.617108i | ||||
\(688\) | −2.05525 | + | 0.748052i | −0.0783559 | + | 0.0285192i | ||||
\(689\) | 63.8805 | + | 23.2506i | 2.43365 | + | 0.885777i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 16.1503 | − | 27.9731i | 0.614385 | − | 1.06415i | −0.376107 | − | 0.926576i | \(-0.622738\pi\) |
0.990492 | − | 0.137570i | \(-0.0439291\pi\) | |||||||
\(692\) | −9.67206 | − | 16.7525i | −0.367677 | − | 0.636835i | ||||
\(693\) | 0.244073 | − | 1.38421i | 0.00927156 | − | 0.0525816i | ||||
\(694\) | 0.0449515 | − | 0.254933i | 0.00170633 | − | 0.00967711i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −0.555505 | + | 0.962162i | −0.0210564 | + | 0.0364707i | ||||
\(697\) | 8.79061 | + | 7.37619i | 0.332968 | + | 0.279393i | ||||
\(698\) | −29.1547 | − | 10.6115i | −1.10352 | − | 0.401650i | ||||
\(699\) | 12.4702 | − | 4.53879i | 0.471667 | − | 0.171673i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 1.97675 | + | 11.2107i | 0.0746609 | + | 0.423423i | 0.999112 | + | 0.0421235i | \(0.0134123\pi\) |
−0.924451 | + | 0.381300i | \(0.875477\pi\) | |||||||
\(702\) | 36.2202 | 1.36704 | ||||||||
\(703\) | 8.10280 | + | 40.9388i | 0.305603 | + | 1.54404i | ||||
\(704\) | −3.09500 | −0.116647 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −7.96269 | + | 6.68149i | −0.299680 | + | 0.251461i | ||||
\(707\) | 27.7451 | − | 10.0984i | 1.04346 | − | 0.379790i | ||||
\(708\) | −16.0408 | − | 5.83837i | −0.602850 | − | 0.219419i | ||||
\(709\) | 26.4481 | + | 22.1926i | 0.993278 | + | 0.833459i | 0.986039 | − | 0.166515i | \(-0.0532513\pi\) |
0.00723886 | + | 0.999974i | \(0.497696\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −1.61162 | − | 2.79141i | −0.0604406 | − | 0.104686i | ||||
\(712\) | 1.46875 | − | 8.32969i | 0.0550437 | − | 0.312168i | ||||
\(713\) | 2.49538 | − | 14.1520i | 0.0934526 | − | 0.529996i | ||||
\(714\) | −9.17043 | − | 15.8837i | −0.343195 | − | 0.594431i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −6.05940 | − | 5.08444i | −0.226450 | − | 0.190015i | ||||
\(717\) | 23.3115 | + | 8.48470i | 0.870585 | + | 0.316867i | ||||
\(718\) | 22.4592 | − | 8.17446i | 0.838168 | − | 0.305068i | ||||
\(719\) | 19.8549 | − | 16.6603i | 0.740464 | − | 0.621323i | −0.192498 | − | 0.981297i | \(-0.561659\pi\) |
0.932962 | + | 0.359974i | \(0.117215\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −21.2069 | −0.789786 | ||||||||
\(722\) | 10.1782 | + | 16.0438i | 0.378794 | + | 0.597089i | ||||
\(723\) | 13.6981 | 0.509437 | ||||||||
\(724\) | −2.41624 | − | 13.7032i | −0.0897987 | − | 0.509274i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.23614 | − | 0.813887i | 0.0829908 | − | 0.0302062i | ||||
\(727\) | −9.38104 | − | 3.41442i | −0.347923 | − | 0.126634i | 0.162147 | − | 0.986767i | \(-0.448158\pi\) |
−0.510070 | + | 0.860133i | \(0.670380\pi\) | |||||||
\(728\) | 12.0480 | + | 10.1094i | 0.446527 | + | 0.374681i | ||||
\(729\) | −14.2612 | + | 24.7011i | −0.528191 | + | 0.914854i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 1.79005 | − | 10.1519i | 0.0662076 | − | 0.375482i | ||||
\(732\) | −1.08277 | + | 6.14070i | −0.0400204 | + | 0.226967i | ||||
\(733\) | 1.03498 | + | 1.79264i | 0.0382279 | + | 0.0662126i | 0.884506 | − | 0.466528i | \(-0.154495\pi\) |
−0.846278 | + | 0.532741i | \(0.821162\pi\) | |||||||
\(734\) | 18.6138 | − | 32.2400i | 0.687048 | − | 1.19000i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.99540 | − | 1.09024i | −0.110412 | − | 0.0401867i | ||||
\(737\) | 15.4223 | − | 5.61327i | 0.568089 | − | 0.206767i | ||||
\(738\) | 0.364518 | − | 0.305867i | 0.0134181 | − | 0.0112591i | ||||
\(739\) | −4.32655 | − | 24.5371i | −0.159155 | − | 0.902612i | −0.954888 | − | 0.296965i | \(-0.904025\pi\) |
0.795733 | − | 0.605647i | \(-0.207086\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −9.59296 | − | 48.4678i | −0.352406 | − | 1.78051i | ||||
\(742\) | −23.3381 | −0.856769 | ||||||||
\(743\) | 0.202822 | + | 1.15026i | 0.00744080 | + | 0.0421989i | 0.988302 | − | 0.152509i | \(-0.0487353\pi\) |
−0.980861 | + | 0.194708i | \(0.937624\pi\) | |||||||
\(744\) | −5.78339 | + | 4.85284i | −0.212029 | + | 0.177914i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 6.22681 | + | 2.26637i | 0.227980 | + | 0.0829778i | ||||
\(747\) | 0.962609 | + | 0.807725i | 0.0352200 | + | 0.0295531i | ||||
\(748\) | 7.29369 | − | 12.6330i | 0.266684 | − | 0.461910i | ||||
\(749\) | 10.4039 | + | 18.0200i | 0.380148 | + | 0.658436i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.41878 | − | 13.7176i | 0.0882625 | − | 0.500562i | −0.908342 | − | 0.418228i | \(-0.862651\pi\) |
0.996605 | − | 0.0823341i | \(-0.0262374\pi\) | |||||||
\(752\) | −3.13830 | − | 5.43569i | −0.114442 | − | 0.198219i | ||||
\(753\) | 0.718680 | − | 1.24479i | 0.0261901 | − | 0.0453627i | ||||
\(754\) | 3.43976 | + | 2.88630i | 0.125269 | + | 0.105113i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −11.6848 | + | 4.25291i | −0.424971 | + | 0.154677i | ||||
\(757\) | −6.79067 | + | 5.69805i | −0.246811 | + | 0.207099i | −0.757798 | − | 0.652490i | \(-0.773725\pi\) |
0.510987 | + | 0.859589i | \(0.329280\pi\) | |||||||
\(758\) | −4.32968 | − | 24.5548i | −0.157261 | − | 0.891872i | ||||
\(759\) | −16.5220 | −0.599711 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 8.72950 | 0.316444 | 0.158222 | − | 0.987404i | \(-0.449424\pi\) | ||||
0.158222 | + | 0.987404i | \(0.449424\pi\) | |||||||
\(762\) | 0.523746 | + | 2.97031i | 0.0189733 | + | 0.107603i | ||||
\(763\) | −17.0759 | + | 14.3284i | −0.618190 | + | 0.518723i | ||||
\(764\) | 19.1481 | − | 6.96933i | 0.692753 | − | 0.252141i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.1589 | + | 11.0417i | 0.475452 | + | 0.398951i | ||||
\(767\) | −34.4958 | + | 59.7484i | −1.24557 | + | 2.15739i | ||||
\(768\) | 0.837341 | + | 1.45032i | 0.0302149 | + | 0.0523338i | ||||
\(769\) | 3.03165 | − | 17.1933i | 0.109324 | − | 0.620008i | −0.880081 | − | 0.474824i | \(-0.842512\pi\) |
0.989405 | − | 0.145183i | \(-0.0463772\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.52921 | − | 16.5051i | −0.343186 | − | 0.594416i | ||||
\(772\) | −9.21738 | + | 15.9650i | −0.331741 | + | 0.574592i | ||||
\(773\) | −10.3498 | − | 8.68454i | −0.372258 | − | 0.312361i | 0.437396 | − | 0.899269i | \(-0.355901\pi\) |
−0.809654 | + | 0.586908i | \(0.800345\pi\) | |||||||
\(774\) | −0.401682 | − | 0.146200i | −0.0144382 | − | 0.00525506i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −4.07246 | + | 3.41720i | −0.146193 | + | 0.122670i | ||||
\(777\) | 6.46959 | + | 36.6909i | 0.232095 | + | 1.31628i | ||||
\(778\) | 22.4202 | 0.803803 | ||||||||
\(779\) | −8.27035 | − | 6.65059i | −0.296316 | − | 0.238282i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6.34743 | − | 35.9981i | −0.227129 | − | 1.28811i | ||||
\(782\) | 11.5090 | − | 9.65724i | 0.411563 | − | 0.345342i | ||||
\(783\) | −3.33606 | + | 1.21423i | −0.119221 | + | 0.0433930i | ||||
\(784\) | 1.50410 | + | 0.547448i | 0.0537179 | + | 0.0195517i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −6.70580 | + | 11.6148i | −0.239188 | + | 0.414286i | ||||
\(787\) | −17.6119 | − | 30.5047i | −0.627797 | − | 1.08738i | −0.987993 | − | 0.154500i | \(-0.950623\pi\) |
0.360196 | − | 0.932877i | \(-0.382710\pi\) | |||||||
\(788\) | 1.54489 | − | 8.76153i | 0.0550346 | − | 0.312117i | ||||
\(789\) | 3.69195 | − | 20.9381i | 0.131437 | − | 0.745415i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 4.39119 | − | 7.60576i | 0.156133 | − | 0.270430i | ||||
\(792\) | −0.463374 | − | 0.388817i | −0.0164653 | − | 0.0138160i | ||||
\(793\) | 23.6814 | + | 8.61934i | 0.840953 | + | 0.306082i | ||||
\(794\) | 35.3699 | − | 12.8736i | 1.25523 | − | 0.456867i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 4.19553 | + | 23.7940i | 0.148706 | + | 0.843356i | ||||
\(797\) | 19.1074 | 0.676818 | 0.338409 | − | 0.940999i | \(-0.390111\pi\) | ||||
0.338409 | + | 0.940999i | \(0.390111\pi\) | |||||||
\(798\) | 8.78572 | + | 14.5095i | 0.311011 | + | 0.513630i | ||||
\(799\) | 29.5829 | 1.04657 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.26633 | − | 1.06258i | 0.0447437 | − | 0.0375444i | ||||
\(802\) | 16.9919 | − | 6.18454i | 0.600005 | − | 0.218384i | ||||
\(803\) | 7.45835 | + | 2.71462i | 0.263199 | + | 0.0957968i | ||||
\(804\) | −6.80282 | − | 5.70825i | −0.239917 | − | 0.201314i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 15.2565 | + | 26.4250i | 0.537387 | + | 0.930782i | ||||
\(807\) | 6.36379 | − | 36.0908i | 0.224016 | − | 1.27046i | ||||
\(808\) | 2.20648 | − | 12.5136i | 0.0776237 | − | 0.440226i | ||||
\(809\) | −5.22079 | − | 9.04268i | −0.183553 | − | 0.317924i | 0.759535 | − | 0.650467i | \(-0.225427\pi\) |
−0.943088 | + | 0.332543i | \(0.892093\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.03037 | + | 5.89918i | 0.246870 | + | 0.207148i | 0.757823 | − | 0.652460i | \(-0.226263\pi\) |
−0.510953 | + | 0.859609i | \(0.670707\pi\) | |||||||
\(812\) | −1.44858 | − | 0.527240i | −0.0508352 | − | 0.0185025i | ||||
\(813\) | −22.2173 | + | 8.08643i | −0.779194 | + | 0.283603i | ||||
\(814\) | −22.6996 | + | 19.0472i | −0.795620 | + | 0.667604i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −7.89312 | −0.276314 | ||||||||
\(817\) | −1.45924 | + | 9.42125i | −0.0510523 | + | 0.329608i | ||||
\(818\) | 14.0181 | 0.490130 | ||||||||
\(819\) | 0.533761 | + | 3.02711i | 0.0186511 | + | 0.105776i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −8.43841 | + | 3.07133i | −0.294503 | + | 0.107190i | −0.485046 | − | 0.874489i | \(-0.661197\pi\) |
0.190544 | + | 0.981679i | \(0.438975\pi\) | |||||||
\(822\) | 30.2391 | + | 11.0061i | 1.05471 | + | 0.383883i | ||||
\(823\) | 27.6581 | + | 23.2079i | 0.964101 | + | 0.808977i | 0.981615 | − | 0.190870i | \(-0.0611309\pi\) |
−0.0175145 | + | 0.999847i | \(0.505575\pi\) | |||||||
\(824\) | −4.56327 | + | 7.90381i | −0.158969 | + | 0.275342i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 4.11291 | − | 23.3255i | 0.143106 | − | 0.811597i | ||||
\(827\) | 0.988578 | − | 5.60650i | 0.0343762 | − | 0.194957i | −0.962783 | − | 0.270274i | \(-0.912886\pi\) |
0.997160 | + | 0.0753168i | \(0.0239968\pi\) | |||||||
\(828\) | −0.311499 | − | 0.539531i | −0.0108253 | − | 0.0187500i | ||||
\(829\) | −6.25554 | + | 10.8349i | −0.217264 | + | 0.376312i | −0.953970 | − | 0.299901i | \(-0.903047\pi\) |
0.736707 | + | 0.676212i | \(0.236380\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 28.7076 | + | 10.4487i | 0.995854 | + | 0.362461i | ||||
\(832\) | 6.36025 | − | 2.31494i | 0.220502 | − | 0.0802561i | ||||
\(833\) | −5.77912 | + | 4.84925i | −0.200234 | + | 0.168017i | ||||
\(834\) | −0.313847 | − | 1.77992i | −0.0108676 | − | 0.0616334i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −6.50017 | + | 11.8216i | −0.224813 | + | 0.408858i | ||||
\(837\) | −24.1246 | −0.833867 | ||||||||
\(838\) | 4.25610 | + | 24.1375i | 0.147025 | + | 0.833817i | ||||
\(839\) | 25.8961 | − | 21.7294i | 0.894033 | − | 0.750183i | −0.0749821 | − | 0.997185i | \(-0.523890\pi\) |
0.969015 | + | 0.247002i | \(0.0794455\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 26.8375 | + | 9.76805i | 0.925431 | + | 0.336829i | ||||
\(842\) | 28.5396 | + | 23.9475i | 0.983539 | + | 0.825287i | ||||
\(843\) | 10.8915 | − | 18.8646i | 0.375122 | − | 0.649730i | ||||
\(844\) | −2.52517 | − | 4.37372i | −0.0869198 | − | 0.150550i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0.213015 | − | 1.20807i | 0.00732362 | − | 0.0415343i | ||||
\(847\) | 1.65090 | + | 2.85945i | 0.0567257 | + | 0.0982519i | ||||
\(848\) | −5.02185 | + | 8.69811i | −0.172451 | + | 0.298694i | ||||
\(849\) | −3.73620 | − | 3.13505i | −0.128226 | − | 0.107594i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −28.6786 | + | 10.4382i | −0.983090 | + | 0.357815i | ||||
\(852\) | −15.1514 | + | 12.7135i | −0.519079 | + | 0.435559i | ||||
\(853\) | −1.99098 | − | 11.2914i | −0.0681697 | − | 0.386610i | −0.999735 | − | 0.0230347i | \(-0.992667\pi\) |
0.931565 | − | 0.363575i | \(-0.118444\pi\) | |||||||
\(854\) | −8.65179 | −0.296058 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.95473 | 0.306066 | ||||||||
\(857\) | −2.49949 | − | 14.1753i | −0.0853810 | − | 0.484220i | −0.997274 | − | 0.0737912i | \(-0.976490\pi\) |
0.911893 | − | 0.410429i | \(-0.134621\pi\) | |||||||
\(858\) | 26.8742 | − | 22.5501i | 0.917470 | − | 0.769849i | ||||
\(859\) | −32.3900 | + | 11.7890i | −1.10513 | + | 0.402236i | −0.829206 | − | 0.558943i | \(-0.811207\pi\) |
−0.275927 | + | 0.961179i | \(0.588985\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −7.25782 | − | 6.09004i | −0.247346 | − | 0.207548i | ||||
\(862\) | −2.33428 | + | 4.04309i | −0.0795059 | + | 0.137708i | ||||
\(863\) | 13.3344 | + | 23.0958i | 0.453907 | + | 0.786191i | 0.998625 | − | 0.0524291i | \(-0.0166964\pi\) |
−0.544717 | + | 0.838620i | \(0.683363\pi\) | |||||||
\(864\) | −0.929252 | + | 5.27005i | −0.0316138 | + | 0.179291i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 13.7952 | + | 23.8940i | 0.468780 | + | 0.811951i | ||||
\(867\) | 4.36613 | − | 7.56237i | 0.148282 | − | 0.256831i | ||||
\(868\) | −8.02457 | − | 6.73342i | −0.272372 | − | 0.228547i | ||||
\(869\) | −47.9649 | − | 17.4578i | −1.62710 | − | 0.592216i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −27.4945 | + | 23.0706i | −0.931614 | + | 0.781717i | ||||
\(872\) | 1.66582 | + | 9.44736i | 0.0564119 | + | 0.319928i | ||||
\(873\) | −1.03901 | −0.0351651 | ||||||||
\(874\) | −10.4552 | + | 9.15141i | −0.353653 | + | 0.309551i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −0.745759 | − | 4.22941i | −0.0251969 | − | 0.142898i | ||||
\(877\) | −3.91536 | + | 3.28538i | −0.132212 | + | 0.110939i | −0.706496 | − | 0.707717i | \(-0.749725\pi\) |
0.574284 | + | 0.818656i | \(0.305281\pi\) | |||||||
\(878\) | 5.48747 | − | 1.99728i | 0.185193 | − | 0.0674048i | ||||
\(879\) | 2.14191 | + | 0.779592i | 0.0722449 | + | 0.0262950i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 9.23774 | − | 16.0002i | 0.311227 | − | 0.539062i | −0.667401 | − | 0.744699i | \(-0.732593\pi\) |
0.978628 | + | 0.205637i | \(0.0659266\pi\) | |||||||
\(882\) | 0.156415 | + | 0.270918i | 0.00526676 | + | 0.00912230i | ||||
\(883\) | 3.77236 | − | 21.3941i | 0.126950 | − | 0.719969i | −0.853181 | − | 0.521616i | \(-0.825329\pi\) |
0.980131 | − | 0.198354i | \(-0.0635594\pi\) | |||||||
\(884\) | −5.53955 | + | 31.4164i | −0.186315 | + | 1.05665i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −18.2914 | + | 31.6816i | −0.614512 | + | 1.06437i | ||||
\(887\) | −29.7825 | − | 24.9905i | −1.00000 | − | 0.839099i | −0.0130151 | − | 0.999915i | \(-0.504143\pi\) |
−0.986984 | + | 0.160816i | \(0.948587\pi\) | |||||||
\(888\) | 15.0668 | + | 5.48387i | 0.505609 | + | 0.184026i | ||||
\(889\) | −3.93256 | + | 1.43134i | −0.131894 | + | 0.0480054i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4.50133 | + | 25.5283i | 0.150800 | + | 0.855231i | ||||
\(892\) | −2.76940 | −0.0927263 | ||||||||
\(893\) | −27.3531 | + | 0.570836i | −0.915336 | + | 0.0191023i | ||||
\(894\) | −4.63567 | −0.155040 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.78002 | + | 1.49362i | −0.0594664 | + | 0.0498982i | ||||
\(897\) | 33.9528 | − | 12.3578i | 1.13365 | − | 0.412615i | ||||
\(898\) | 16.6711 | + | 6.06780i | 0.556323 | + | 0.202485i | ||||
\(899\) | −2.29106 | − | 1.92243i | −0.0764110 | − | 0.0641165i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −23.6690 | − | 40.9959i | −0.788529 | − | 1.36577i | ||||
\(902\) | 1.30852 | − | 7.42098i | 0.0435689 | − | 0.247092i | ||||
\(903\) | −1.47793 | + | 8.38176i | −0.0491824 | + | 0.278927i | ||||
\(904\) | −1.88978 | − | 3.27319i | −0.0628530 | − | 0.108865i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −13.1795 | − | 11.0589i | −0.437859 | − | 0.367408i | ||||
\(907\) | −1.45333 | − | 0.528970i | −0.0482572 | − | 0.0175642i | 0.317779 | − | 0.948165i | \(-0.397063\pi\) |
−0.366036 | + | 0.930601i | \(0.619285\pi\) | |||||||
\(908\) | −10.7312 | + | 3.90585i | −0.356128 | + | 0.129620i | ||||
\(909\) | 1.90239 | − | 1.59630i | 0.0630984 | − | 0.0529459i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 34.1846 | 1.13259 | 0.566294 | − | 0.824204i | \(-0.308377\pi\) | ||||
0.566294 | + | 0.824204i | \(0.308377\pi\) | |||||||
\(912\) | 7.29818 | − | 0.152307i | 0.241667 | − | 0.00504339i | ||||
\(913\) | 19.8994 | 0.658575 | ||||||||
\(914\) | 6.24713 | + | 35.4292i | 0.206637 | + | 1.17189i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.1197 | − | 5.13915i | 0.466528 | − | 0.169802i | ||||
\(917\) | −17.4866 | − | 6.36461i | −0.577459 | − | 0.210178i | ||||
\(918\) | −19.3212 | − | 16.2124i | −0.637693 | − | 0.535088i | ||||
\(919\) | −1.47826 | + | 2.56043i | −0.0487634 | + | 0.0844606i | −0.889377 | − | 0.457175i | \(-0.848861\pi\) |
0.840613 | + | 0.541635i | \(0.182195\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0.383212 | − | 2.17330i | 0.0126273 | − | 0.0716127i | ||||
\(922\) | −6.60033 | + | 37.4324i | −0.217370 | + | 1.23277i | ||||
\(923\) | 39.9692 | + | 69.2286i | 1.31560 | + | 2.27869i | ||||
\(924\) | −6.02192 | + | 10.4303i | −0.198107 | + | 0.343131i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 19.0180 | + | 6.92197i | 0.624969 | + | 0.227470i | ||||
\(927\) | −1.67613 | + | 0.610062i | −0.0550514 | + | 0.0200371i | ||||
\(928\) | −0.508206 | + | 0.426435i | −0.0166827 | + | 0.0139984i | ||||
\(929\) | −5.79901 | − | 32.8878i | −0.190259 | − | 1.07901i | −0.919010 | − | 0.394235i | \(-0.871010\pi\) |
0.728750 | − | 0.684779i | \(-0.240101\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.24995 | − | 4.59526i | 0.172060 | − | 0.150604i | ||||
\(932\) | 7.92421 | 0.259566 | ||||||||
\(933\) | 1.71135 | + | 9.70555i | 0.0560271 | + | 0.317745i | ||||
\(934\) | 14.8753 | − | 12.4818i | 0.486734 | − | 0.408419i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 1.24306 | + | 0.452435i | 0.0406306 | + | 0.0147883i | ||||
\(937\) | −30.6304 | − | 25.7020i | −1.00065 | − | 0.839647i | −0.0135779 | − | 0.999908i | \(-0.504322\pi\) |
−0.987075 | + | 0.160261i | \(0.948767\pi\) | |||||||
\(938\) | 6.16091 | − | 10.6710i | 0.201161 | − | 0.348421i | ||||
\(939\) | 5.21258 | + | 9.02845i | 0.170106 | + | 0.294632i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.18958 | + | 35.1028i | −0.201774 | + | 1.14432i | 0.700661 | + | 0.713494i | \(0.252889\pi\) |
−0.902435 | + | 0.430825i | \(0.858223\pi\) | |||||||
\(942\) | −5.83761 | − | 10.1110i | −0.190200 | − | 0.329435i | ||||
\(943\) | 3.88050 | − | 6.72123i | 0.126367 | − | 0.218873i | ||||
\(944\) | −7.80839 | − | 6.55202i | −0.254142 | − | 0.213250i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.36102 | + | 2.31522i | −0.206815 | + | 0.0752744i | ||||
\(947\) | −12.9277 | + | 10.8476i | −0.420094 | + | 0.352500i | −0.828199 | − | 0.560435i | \(-0.810634\pi\) |
0.408105 | + | 0.912935i | \(0.366190\pi\) | |||||||
\(948\) | 4.79600 | + | 27.1995i | 0.155767 | + | 0.883398i | ||||
\(949\) | −17.3574 | −0.563444 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 35.9594 | 1.16606 | ||||||||
\(952\) | −1.90177 | − | 10.7855i | −0.0616367 | − | 0.349559i | ||||
\(953\) | 18.1350 | − | 15.2171i | 0.587450 | − | 0.492929i | −0.299934 | − | 0.953960i | \(-0.596965\pi\) |
0.887384 | + | 0.461031i | \(0.152520\pi\) | |||||||
\(954\) | −1.84458 | + | 0.671371i | −0.0597204 | + | 0.0217364i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 11.3477 | + | 9.52183i | 0.367010 | + | 0.307958i | ||||
\(957\) | −1.71929 | + | 2.97790i | −0.0555767 | + | 0.0962617i | ||||
\(958\) | −3.66607 | − | 6.34982i | −0.118445 | − | 0.205154i | ||||
\(959\) | −7.75341 | + | 43.9718i | −0.250371 | + | 1.41992i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 5.33838 | + | 9.24635i | 0.172206 | + | 0.298269i | ||||
\(962\) | 32.4012 | − | 56.1205i | 1.04466 | − | 1.80940i | ||||
\(963\) | 1.34067 | + | 1.12496i | 0.0432026 | + | 0.0362513i | ||||
\(964\) | 7.68622 | + | 2.79756i | 0.247556 | + | 0.0901032i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −9.50226 | + | 7.97335i | −0.305730 | + | 0.256538i | ||||
\(967\) | −0.149858 | − | 0.849889i | −0.00481912 | − | 0.0273306i | 0.982303 | − | 0.187297i | \(-0.0599726\pi\) |
−0.987122 | + | 0.159966i | \(0.948861\pi\) | |||||||
\(968\) | 1.42096 | 0.0456712 | ||||||||
\(969\) | −16.5772 | + | 30.1483i | −0.532537 | + | 0.968503i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.54276 | + | 42.7771i | 0.242059 | + | 1.37278i | 0.827226 | + | 0.561870i | \(0.189918\pi\) |
−0.585167 | + | 0.810913i | \(0.698971\pi\) | |||||||
\(972\) | −1.55337 | + | 1.30343i | −0.0498244 | + | 0.0418076i | ||||
\(973\) | 2.35653 | − | 0.857707i | 0.0755469 | − | 0.0274968i | ||||
\(974\) | 21.6238 | + | 7.87040i | 0.692870 | + | 0.252184i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.86168 | + | 3.22452i | −0.0595908 | + | 0.103214i | ||||
\(977\) | 22.2280 | + | 38.5001i | 0.711138 | + | 1.23173i | 0.964430 | + | 0.264338i | \(0.0851533\pi\) |
−0.253292 | + | 0.967390i | \(0.581513\pi\) | |||||||
\(978\) | −1.46276 | + | 8.29570i | −0.0467738 | + | 0.265267i | ||||
\(979\) | 4.54578 | − | 25.7804i | 0.145284 | − | 0.823946i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −0.937445 | + | 1.62370i | −0.0299303 | + | 0.0518408i | ||||
\(982\) | −16.1944 | − | 13.5887i | −0.516783 | − | 0.433633i | ||||
\(983\) | −12.2338 | − | 4.45274i | −0.390198 | − | 0.142020i | 0.139469 | − | 0.990226i | \(-0.455461\pi\) |
−0.529666 | + | 0.848206i | \(0.677683\pi\) | |||||||
\(984\) | −3.83148 | + | 1.39455i | −0.122143 | + | 0.0444565i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −0.542965 | − | 3.07931i | −0.0172915 | − | 0.0980652i | ||||
\(987\) | −24.4246 | −0.777444 | ||||||||
\(988\) | 4.51580 | − | 29.1553i | 0.143667 | − | 0.927553i | ||||
\(989\) | −6.97187 | −0.221693 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 20.8851 | − | 17.5247i | 0.663436 | − | 0.556689i | −0.247678 | − | 0.968842i | \(-0.579668\pi\) |
0.911115 | + | 0.412153i | \(0.135223\pi\) | |||||||
\(992\) | −4.23626 | + | 1.54187i | −0.134501 | + | 0.0489545i | ||||
\(993\) | 32.3136 | + | 11.7612i | 1.02544 | + | 0.373230i | ||||
\(994\) | −21.0229 | − | 17.6403i | −0.666806 | − | 0.559516i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −5.38371 | − | 9.32486i | −0.170589 | − | 0.295469i | ||||
\(997\) | −3.46311 | + | 19.6403i | −0.109678 | + | 0.622014i | 0.879570 | + | 0.475769i | \(0.157830\pi\) |
−0.989248 | + | 0.146246i | \(0.953281\pi\) | |||||||
\(998\) | −2.36215 | + | 13.3964i | −0.0747725 | + | 0.424056i | ||||
\(999\) | 25.6175 | + | 44.3707i | 0.810500 | + | 1.40383i |
(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 | 950.2.l.l.351.2 | 30 | ||
5.2 | odd | 4 | 190.2.p.a.9.9 | yes | 60 | ||
5.3 | odd | 4 | 190.2.p.a.9.2 | ✓ | 60 | ||
5.4 | even | 2 | 950.2.l.m.351.4 | 30 | |||
19.17 | even | 9 | inner | 950.2.l.l.701.2 | 30 | ||
95.17 | odd | 36 | 190.2.p.a.169.2 | yes | 60 | ||
95.74 | even | 18 | 950.2.l.m.701.4 | 30 | |||
95.93 | odd | 36 | 190.2.p.a.169.9 | yes | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.p.a.9.2 | ✓ | 60 | 5.3 | odd | 4 | ||
190.2.p.a.9.9 | yes | 60 | 5.2 | odd | 4 | ||
190.2.p.a.169.2 | yes | 60 | 95.17 | odd | 36 | ||
190.2.p.a.169.9 | yes | 60 | 95.93 | odd | 36 | ||
950.2.l.l.351.2 | 30 | 1.1 | even | 1 | trivial | ||
950.2.l.l.701.2 | 30 | 19.17 | even | 9 | inner | ||
950.2.l.m.351.4 | 30 | 5.4 | even | 2 | |||
950.2.l.m.701.4 | 30 | 95.74 | even | 18 |