Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [927,2,Mod(80,927)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(927, base_ring=CyclotomicField(34))
chi = DirichletCharacter(H, H._module([17, 25]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("927.80");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 927 = 3^{2} \cdot 103 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 927.w (of order \(34\), degree \(16\), 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: | \(7.40213226737\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{34})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{34}]$ |
Embedding invariants
Embedding label | 80.22 | ||
Character | \(\chi\) | \(=\) | 927.80 |
Dual form | 927.2.w.a.197.22 |
$q$-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 \(\left(\mathbb{Z}/927\mathbb{Z}\right)^\times\).
\(n\) | \(722\) | \(829\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{25}{34}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.607968 | − | 0.302732i | 0.429898 | − | 0.214064i | −0.217748 | − | 0.976005i | \(-0.569871\pi\) |
0.647646 | + | 0.761941i | \(0.275753\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.927291 | + | 1.22793i | −0.463645 | + | 0.613966i | ||||
\(5\) | 0.905941 | + | 0.825874i | 0.405149 | + | 0.369342i | 0.850465 | − | 0.526031i | \(-0.176321\pi\) |
−0.445316 | + | 0.895373i | \(0.646909\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.56947 | + | 0.480316i | −0.971167 | + | 0.181542i | −0.645347 | − | 0.763890i | \(-0.723287\pi\) |
−0.325819 | + | 0.945432i | \(0.605640\pi\) | |||||||
\(8\) | −0.441623 | + | 2.36248i | −0.156137 | + | 0.835261i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.800802 | + | 0.227848i | 0.253236 | + | 0.0720518i | ||||
\(11\) | −1.85000 | − | 3.71530i | −0.557796 | − | 1.12020i | −0.977183 | − | 0.212397i | \(-0.931873\pi\) |
0.419388 | − | 0.907807i | \(-0.362245\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.91729 | + | 0.358404i | −0.531761 | + | 0.0994033i | −0.442780 | − | 0.896630i | \(-0.646008\pi\) |
−0.0889803 | + | 0.996033i | \(0.528361\pi\) | |||||||
\(14\) | −1.41675 | + | 1.06988i | −0.378641 | + | 0.285937i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.395481 | − | 1.38997i | −0.0988703 | − | 0.347493i | ||||
\(17\) | −2.13537 | + | 0.197872i | −0.517905 | + | 0.0479909i | −0.348046 | − | 0.937478i | \(-0.613155\pi\) |
−0.169859 | + | 0.985468i | \(0.554331\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.31861 | + | 1.43562i | −0.531926 | + | 0.329354i | −0.765975 | − | 0.642870i | \(-0.777743\pi\) |
0.234049 | + | 0.972225i | \(0.424802\pi\) | |||||||
\(20\) | −1.85419 | + | 0.346608i | −0.414609 | + | 0.0775038i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.24948 | − | 1.69873i | −0.479591 | − | 0.362170i | ||||
\(23\) | 1.96007 | + | 0.975997i | 0.408702 | + | 0.203509i | 0.638319 | − | 0.769772i | \(-0.279630\pi\) |
−0.229618 | + | 0.973281i | \(0.573748\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.322681 | − | 3.48229i | −0.0645362 | − | 0.696457i | ||||
\(26\) | −1.05715 | + | 0.798324i | −0.207324 | + | 0.156564i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.79285 | − | 3.60052i | 0.338816 | − | 0.680434i | ||||
\(29\) | −3.18971 | + | 3.49895i | −0.592314 | + | 0.649738i | −0.959930 | − | 0.280240i | \(-0.909586\pi\) |
0.367616 | + | 0.929978i | \(0.380174\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.283420 | + | 0.0806400i | −0.0509037 | + | 0.0144834i | −0.299019 | − | 0.954247i | \(-0.596659\pi\) |
0.248115 | + | 0.968731i | \(0.420189\pi\) | |||||||
\(32\) | −3.89955 | − | 4.27760i | −0.689349 | − | 0.756180i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.23834 | + | 0.766746i | −0.212373 | + | 0.131496i | ||||
\(35\) | −2.72446 | − | 1.68692i | −0.460518 | − | 0.285141i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.88028 | − | 10.0162i | −0.637915 | − | 1.64665i | −0.756727 | − | 0.653731i | \(-0.773203\pi\) |
0.118813 | − | 0.992917i | \(-0.462091\pi\) | |||||||
\(38\) | −0.975032 | + | 1.57473i | −0.158171 | + | 0.255455i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.35119 | + | 1.77554i | −0.371756 | + | 0.280737i | ||||
\(41\) | 5.34845 | + | 5.86697i | 0.835288 | + | 0.916267i | 0.997513 | − | 0.0704869i | \(-0.0224553\pi\) |
−0.162225 | + | 0.986754i | \(0.551867\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.25610 | − | 8.40496i | 0.496551 | − | 1.28174i | −0.429063 | − | 0.903275i | \(-0.641156\pi\) |
0.925613 | − | 0.378470i | \(-0.123550\pi\) | |||||||
\(44\) | 6.27762 | + | 1.17349i | 0.946387 | + | 0.176910i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.48712 | 0.219264 | ||||||||
\(47\) | −11.6669 | −1.70179 | −0.850893 | − | 0.525338i | \(-0.823939\pi\) | ||||
−0.850893 | + | 0.525338i | \(0.823939\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.155858 | + | 0.0603798i | −0.0222654 | + | 0.00862568i | ||||
\(50\) | −1.25038 | − | 2.01943i | −0.176830 | − | 0.285591i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 1.33779 | − | 2.68665i | 0.185518 | − | 0.372571i | ||||
\(53\) | −8.50169 | + | 5.26402i | −1.16780 | + | 0.723069i | −0.966552 | − | 0.256472i | \(-0.917440\pi\) |
−0.201245 | + | 0.979541i | \(0.564499\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.39238 | − | 4.89371i | 0.187748 | − | 0.659867i | ||||
\(56\) | − | 6.28242i | − | 0.839523i | ||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.879999 | + | 3.09287i | −0.115550 | + | 0.406114i | ||||
\(59\) | −1.05844 | + | 5.66217i | −0.137797 | + | 0.737151i | 0.842358 | + | 0.538919i | \(0.181167\pi\) |
−0.980155 | + | 0.198232i | \(0.936480\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.131933 | + | 1.42378i | 0.0168923 | + | 0.182297i | 1.00000 | 0.000732714i | \(-0.000233230\pi\) | |
−0.983107 | + | 0.183029i | \(0.941410\pi\) | |||||||
\(62\) | −0.147898 | + | 0.134827i | −0.0187831 | + | 0.0171230i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.970661 | − | 0.376036i | −0.121333 | − | 0.0470045i | ||||
\(65\) | −2.03295 | − | 1.25875i | −0.252156 | − | 0.156128i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.40117 | + | 12.8451i | −0.293350 | + | 1.56928i | 0.445419 | + | 0.895322i | \(0.353055\pi\) |
−0.738769 | + | 0.673959i | \(0.764592\pi\) | |||||||
\(68\) | 1.73714 | − | 2.80558i | 0.210659 | − | 0.340226i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −2.16707 | − | 0.200809i | −0.259015 | − | 0.0240012i | ||||
\(71\) | −0.412129 | + | 0.375705i | −0.0489107 | + | 0.0445880i | −0.697782 | − | 0.716310i | \(-0.745830\pi\) |
0.648871 | + | 0.760898i | \(0.275241\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 9.01207 | + | 9.88577i | 1.05478 | + | 1.15704i | 0.987226 | + | 0.159327i | \(0.0509324\pi\) |
0.0675574 | + | 0.997715i | \(0.478479\pi\) | |||||||
\(74\) | −5.39130 | − | 4.91482i | −0.626726 | − | 0.571336i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.387180 | − | 4.17833i | 0.0444125 | − | 0.479288i | ||||
\(77\) | 6.53803 | + | 8.65775i | 0.745077 | + | 0.986642i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.99599 | − | 3.64282i | −0.449584 | − | 0.409850i | 0.416980 | − | 0.908915i | \(-0.363088\pi\) |
−0.866564 | + | 0.499066i | \(0.833677\pi\) | |||||||
\(80\) | 0.789660 | − | 1.58585i | 0.0882866 | − | 0.177303i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 5.02781 | + | 1.94778i | 0.555229 | + | 0.215097i | ||||
\(83\) | 0.946334 | + | 5.06244i | 0.103874 | + | 0.555675i | 0.994827 | + | 0.101581i | \(0.0323900\pi\) |
−0.890954 | + | 0.454094i | \(0.849963\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.09794 | − | 1.58429i | −0.227554 | − | 0.171840i | ||||
\(86\) | −0.564848 | − | 6.09568i | −0.0609091 | − | 0.657314i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 9.59431 | − | 2.72982i | 1.02276 | − | 0.290999i | ||||
\(89\) | 7.05643 | + | 9.34423i | 0.747981 | + | 0.990486i | 0.999742 | + | 0.0226971i | \(0.00722533\pi\) |
−0.251762 | + | 0.967789i | \(0.581010\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.75426 | − | 1.84181i | 0.498382 | − | 0.193074i | ||||
\(92\) | −3.01601 | + | 1.50179i | −0.314441 | + | 0.156573i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −7.09308 | + | 3.53193i | −0.731595 | + | 0.364291i | ||||
\(95\) | −3.28617 | − | 0.614291i | −0.337154 | − | 0.0630249i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.252334 | + | 2.72312i | −0.0256206 | + | 0.276491i | 0.973280 | + | 0.229620i | \(0.0737484\pi\) |
−0.998901 | + | 0.0468705i | \(0.985075\pi\) | |||||||
\(98\) | −0.0764779 | + | 0.0838922i | −0.00772543 | + | 0.00847440i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.57523 | + | 2.83286i | 0.457523 | + | 0.283286i | ||||
\(101\) | 4.15381 | + | 8.34198i | 0.413320 | + | 0.830058i | 0.999798 | + | 0.0200928i | \(0.00639617\pi\) |
−0.586479 | + | 0.809965i | \(0.699486\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.41976 | − | 9.13596i | −0.435492 | − | 0.900192i | ||||
\(104\) | − | 4.68783i | − | 0.459680i | ||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.57517 | + | 5.77409i | −0.347251 | + | 0.560830i | ||||
\(107\) | −4.90431 | − | 3.70356i | −0.474118 | − | 0.358037i | 0.338372 | − | 0.941012i | \(-0.390124\pi\) |
−0.812490 | + | 0.582975i | \(0.801888\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.32147 | − | 0.678434i | −0.701270 | − | 0.0649822i | −0.264277 | − | 0.964447i | \(-0.585133\pi\) |
−0.436993 | + | 0.899465i | \(0.643957\pi\) | |||||||
\(110\) | −0.634960 | − | 3.39674i | −0.0605410 | − | 0.323866i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.68380 | + | 3.38153i | 0.159104 | + | 0.319525i | ||||
\(113\) | −0.195939 | + | 0.688653i | −0.0184324 | + | 0.0647830i | −0.970496 | − | 0.241116i | \(-0.922486\pi\) |
0.952064 | + | 0.305899i | \(0.0989571\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.969653 | + | 2.50296i | 0.0904206 | + | 0.233402i | ||||
\(116\) | −1.33868 | − | 7.16129i | −0.124293 | − | 0.664909i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 1.07062 | + | 3.76284i | 0.0985586 | + | 0.346398i | ||||
\(119\) | 5.39173 | − | 1.53408i | 0.494259 | − | 0.140629i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.75197 | + | 4.96841i | −0.341088 | + | 0.451673i | ||||
\(122\) | 0.511235 | + | 0.825673i | 0.0462851 | + | 0.0747530i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0.163792 | − | 0.422797i | 0.0147090 | − | 0.0379683i | ||||
\(125\) | 6.27741 | − | 8.31263i | 0.561468 | − | 0.743504i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 10.9584 | − | 12.0208i | 0.972401 | − | 1.06667i | −0.0253524 | − | 0.999679i | \(-0.508071\pi\) |
0.997753 | − | 0.0669944i | \(-0.0213410\pi\) | |||||||
\(128\) | 10.8232 | − | 1.00292i | 0.956648 | − | 0.0886464i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −1.61703 | − | 0.149840i | −0.141823 | − | 0.0131418i | ||||
\(131\) | −2.65122 | − | 1.32015i | −0.231638 | − | 0.115342i | 0.326173 | − | 0.945310i | \(-0.394241\pi\) |
−0.557811 | + | 0.829968i | \(0.688358\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.26803 | − | 4.80245i | 0.456796 | − | 0.416425i | ||||
\(134\) | 2.42880 | + | 8.53634i | 0.209816 | + | 0.737427i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.475564 | − | 5.13216i | 0.0407793 | − | 0.440079i | ||||
\(137\) | 10.0880 | + | 16.2927i | 0.861876 | + | 1.39198i | 0.919271 | + | 0.393626i | \(0.128780\pi\) |
−0.0573945 | + | 0.998352i | \(0.518279\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −19.6962 | − | 3.68186i | −1.67061 | − | 0.312291i | −0.738442 | − | 0.674318i | \(-0.764438\pi\) |
−0.932168 | + | 0.362027i | \(0.882085\pi\) | |||||||
\(140\) | 4.59779 | − | 1.78119i | 0.388584 | − | 0.150538i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.136823 | + | 0.353181i | −0.0114819 | + | 0.0296383i | ||||
\(143\) | 4.87856 | + | 6.46026i | 0.407966 | + | 0.540234i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.77938 | + | 0.535538i | −0.479951 | + | 0.0444740i | ||||
\(146\) | 8.47179 | + | 3.28199i | 0.701131 | + | 0.271619i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 15.8973 | + | 4.52318i | 1.30675 | + | 0.371803i | ||||
\(149\) | − | 2.60225i | − | 0.213185i | −0.994303 | − | 0.106592i | \(-0.966006\pi\) | ||
0.994303 | − | 0.106592i | \(-0.0339939\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.64863 | + | 0.753602i | 0.215543 | + | 0.0613272i | 0.379711 | − | 0.925105i | \(-0.376023\pi\) |
−0.164168 | + | 0.986432i | \(0.552494\pi\) | |||||||
\(152\) | −2.36767 | − | 6.11166i | −0.192043 | − | 0.495721i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.59589 | + | 3.28436i | 0.531512 | + | 0.264661i | ||||
\(155\) | −0.323360 | − | 0.161014i | −0.0259729 | − | 0.0129330i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.88788 | + | 15.1984i | 0.469904 | + | 1.21296i | 0.943250 | + | 0.332085i | \(0.107752\pi\) |
−0.473346 | + | 0.880877i | \(0.656954\pi\) | |||||||
\(158\) | −3.53223 | − | 1.00501i | −0.281009 | − | 0.0799541i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | − | 7.09579i | − | 0.560971i | ||||||
\(161\) | −5.50511 | − | 1.56634i | −0.433863 | − | 0.123445i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −7.18067 | − | 2.78181i | −0.562433 | − | 0.217888i | 0.0632057 | − | 0.998001i | \(-0.479868\pi\) |
−0.625639 | + | 0.780113i | \(0.715162\pi\) | |||||||
\(164\) | −12.1638 | + | 1.12714i | −0.949834 | + | 0.0880151i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.10790 | + | 2.79132i | 0.163605 | + | 0.216648i | ||||
\(167\) | 4.56761 | − | 11.7904i | 0.353452 | − | 0.912365i | −0.636540 | − | 0.771244i | \(-0.719635\pi\) |
0.989992 | − | 0.141122i | \(-0.0450708\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −8.57459 | + | 3.32181i | −0.659584 | + | 0.255524i | ||||
\(170\) | −1.75510 | − | 0.328084i | −0.134610 | − | 0.0251629i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 7.30137 | + | 11.7921i | 0.556724 | + | 0.899140i | ||||
\(173\) | 0.123368 | − | 1.33135i | 0.00937947 | − | 0.101221i | −0.989757 | − | 0.142759i | \(-0.954402\pi\) |
0.999137 | + | 0.0415388i | \(0.0132260\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.50172 | + | 8.79262i | 0.189112 | + | 0.664660i | ||||
\(176\) | −4.43252 | + | 4.04078i | −0.334114 | + | 0.304585i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.11889 | + | 3.54478i | 0.533583 | + | 0.265693i | ||||
\(179\) | 4.82717 | + | 0.447303i | 0.360800 | + | 0.0334330i | 0.271141 | − | 0.962540i | \(-0.412599\pi\) |
0.0896585 | + | 0.995973i | \(0.471422\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.8643 | − | 1.74803i | 1.40217 | − | 0.129930i | 0.635565 | − | 0.772047i | \(-0.280767\pi\) |
0.766607 | + | 0.642117i | \(0.221943\pi\) | |||||||
\(182\) | 2.33287 | − | 2.55903i | 0.172923 | − | 0.189688i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.17138 | + | 4.19958i | −0.233797 | + | 0.309598i | ||||
\(185\) | 4.75678 | − | 12.2787i | 0.349726 | − | 0.902746i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 4.68559 | + | 7.56749i | 0.342645 | + | 0.553390i | ||||
\(188\) | 10.8186 | − | 14.3261i | 0.789026 | − | 1.04484i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.18385 | + | 0.621359i | −0.158433 | + | 0.0450781i | ||||
\(191\) | −0.599458 | − | 2.10687i | −0.0433752 | − | 0.152448i | 0.937113 | − | 0.349026i | \(-0.113488\pi\) |
−0.980488 | + | 0.196578i | \(0.937017\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −1.23131 | − | 6.58695i | −0.0886319 | − | 0.474139i | −0.998273 | − | 0.0587440i | \(-0.981290\pi\) |
0.909641 | − | 0.415395i | \(-0.136357\pi\) | |||||||
\(194\) | 0.670964 | + | 1.73196i | 0.0481724 | + | 0.124347i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0703836 | − | 0.247373i | 0.00502740 | − | 0.0176695i | ||||
\(197\) | 3.48871 | + | 7.00627i | 0.248560 | + | 0.499176i | 0.983945 | − | 0.178474i | \(-0.0571161\pi\) |
−0.735384 | + | 0.677650i | \(0.762998\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −1.93730 | − | 10.3636i | −0.137332 | − | 0.734659i | −0.980425 | − | 0.196892i | \(-0.936915\pi\) |
0.843094 | − | 0.537767i | \(-0.180732\pi\) | |||||||
\(200\) | 8.36932 | + | 0.775531i | 0.591800 | + | 0.0548384i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 5.05077 | + | 3.81416i | 0.355371 | + | 0.268364i | ||||
\(203\) | 6.51525 | − | 10.5225i | 0.457281 | − | 0.738534i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 9.73227i | 0.679732i | ||||||||
\(206\) | −5.45282 | − | 4.21636i | −0.379916 | − | 0.293768i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.25642 | + | 2.52324i | 0.0871173 | + | 0.174955i | ||||
\(209\) | 9.62319 | + | 5.95843i | 0.665650 | + | 0.412153i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.3056 | + | 11.3047i | −0.709465 | + | 0.778246i | −0.982998 | − | 0.183616i | \(-0.941220\pi\) |
0.273533 | + | 0.961863i | \(0.411808\pi\) | |||||||
\(212\) | 1.41968 | − | 15.3208i | 0.0975039 | − | 1.05224i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.10285 | − | 0.766956i | −0.280465 | − | 0.0524280i | ||||
\(215\) | 9.89127 | − | 4.92527i | 0.674579 | − | 0.335901i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0.689505 | − | 0.343333i | 0.0468067 | − | 0.0233069i | ||||
\(218\) | −4.65661 | + | 1.80398i | −0.315385 | + | 0.122181i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 4.71800 | + | 6.24764i | 0.318087 | + | 0.421215i | ||||
\(221\) | 4.02322 | − | 1.14470i | 0.270631 | − | 0.0770011i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.523151 | − | 5.64570i | −0.0350328 | − | 0.378064i | −0.995143 | − | 0.0984415i | \(-0.968614\pi\) |
0.960110 | − | 0.279622i | \(-0.0902093\pi\) | |||||||
\(224\) | 12.0744 | + | 9.11813i | 0.806752 | + | 0.609230i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.0893529 | + | 0.477996i | 0.00594367 | + | 0.0317958i | ||||
\(227\) | −14.3720 | − | 5.56776i | −0.953906 | − | 0.369545i | −0.166543 | − | 0.986034i | \(-0.553260\pi\) |
−0.787363 | + | 0.616489i | \(0.788554\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.478592 | + | 0.961142i | −0.0316262 | + | 0.0635140i | −0.910413 | − | 0.413701i | \(-0.864236\pi\) |
0.878787 | + | 0.477215i | \(0.158354\pi\) | |||||||
\(230\) | 1.34725 | + | 1.22818i | 0.0888347 | + | 0.0809836i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −6.85752 | − | 9.08083i | −0.450218 | − | 0.596186i | ||||
\(233\) | 0.459055 | − | 4.95400i | 0.0300737 | − | 0.324547i | −0.967386 | − | 0.253308i | \(-0.918481\pi\) |
0.997459 | − | 0.0712387i | \(-0.0226952\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.5695 | − | 9.63536i | −0.689477 | − | 0.628541i | ||||
\(236\) | −5.97127 | − | 6.55017i | −0.388696 | − | 0.426380i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.81359 | − | 2.56492i | 0.182378 | − | 0.166259i | ||||
\(239\) | 7.15881 | + | 0.663361i | 0.463065 | + | 0.0429093i | 0.321272 | − | 0.946987i | \(-0.395890\pi\) |
0.141793 | + | 0.989896i | \(0.454713\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −9.32611 | + | 15.0622i | −0.600747 | + | 0.970240i | 0.397858 | + | 0.917447i | \(0.369754\pi\) |
−0.998605 | + | 0.0527934i | \(0.983188\pi\) | |||||||
\(242\) | −0.776980 | + | 4.15647i | −0.0499461 | + | 0.267188i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −1.87065 | − | 1.15825i | −0.119756 | − | 0.0741497i | ||||
\(245\) | −0.191064 | − | 0.0740187i | −0.0122067 | − | 0.00472888i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.93092 | − | 3.58350i | 0.250118 | − | 0.228013i | ||||
\(248\) | −0.0653451 | − | 0.705185i | −0.00414941 | − | 0.0447793i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 1.29996 | − | 6.95419i | 0.0822169 | − | 0.439821i | ||||
\(251\) | 4.15941 | − | 14.6188i | 0.262540 | − | 0.922732i | −0.712679 | − | 0.701490i | \(-0.752518\pi\) |
0.975219 | − | 0.221242i | \(-0.0710110\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 9.08782i | − | 0.571347i | ||||||
\(254\) | 3.02328 | − | 10.6257i | 0.189697 | − | 0.666717i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.04664 | − | 4.98227i | 0.502915 | − | 0.311392i | ||||
\(257\) | −3.90523 | + | 7.84275i | −0.243601 | + | 0.489217i | −0.982895 | − | 0.184165i | \(-0.941042\pi\) |
0.739294 | + | 0.673383i | \(0.235159\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 14.7812 | + | 23.8724i | 0.918458 | + | 1.48336i | ||||
\(260\) | 3.43079 | − | 1.32910i | 0.212769 | − | 0.0824270i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.01151 | −0.124271 | ||||||||
\(263\) | 11.1713 | 0.688852 | 0.344426 | − | 0.938813i | \(-0.388074\pi\) | ||||
0.344426 | + | 0.938813i | \(0.388074\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −12.0494 | − | 2.25243i | −0.740192 | − | 0.138366i | ||||
\(266\) | 1.74894 | − | 4.51454i | 0.107234 | − | 0.276804i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −13.5463 | − | 14.8596i | −0.827475 | − | 0.907697i | ||||
\(269\) | −7.14463 | + | 5.39537i | −0.435616 | + | 0.328962i | −0.797562 | − | 0.603237i | \(-0.793877\pi\) |
0.361946 | + | 0.932199i | \(0.382112\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.68613 | − | 7.56836i | 0.284662 | − | 0.459745i | −0.676221 | − | 0.736699i | \(-0.736384\pi\) |
0.960883 | + | 0.276953i | \(0.0893248\pi\) | |||||||
\(272\) | 1.11954 | + | 2.88986i | 0.0678819 | + | 0.175223i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 11.0655 | + | 6.85147i | 0.668491 | + | 0.413912i | ||||
\(275\) | −12.3408 | + | 7.64108i | −0.744176 | + | 0.460775i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −18.4404 | − | 20.2282i | −1.10798 | − | 1.21539i | −0.974511 | − | 0.224339i | \(-0.927978\pi\) |
−0.133465 | − | 0.991053i | \(-0.542610\pi\) | |||||||
\(278\) | −13.0893 | + | 3.72422i | −0.785042 | + | 0.223364i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 5.18849 | − | 5.69150i | 0.310071 | − | 0.340132i | ||||
\(281\) | 3.21514 | − | 6.45687i | 0.191799 | − | 0.385185i | −0.778300 | − | 0.627892i | \(-0.783918\pi\) |
0.970100 | + | 0.242707i | \(0.0780355\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 4.40165 | − | 3.32397i | 0.261651 | − | 0.197590i | −0.463656 | − | 0.886015i | \(-0.653463\pi\) |
0.725307 | + | 0.688426i | \(0.241698\pi\) | |||||||
\(284\) | −0.0791768 | − | 0.854453i | −0.00469828 | − | 0.0507025i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 4.92174 | + | 2.45073i | 0.291029 | + | 0.144915i | ||||
\(287\) | −16.5607 | − | 12.5060i | −0.977545 | − | 0.738208i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.1899 | + | 2.27868i | −0.717051 | + | 0.134040i | ||||
\(290\) | −3.35155 | + | 2.07519i | −0.196810 | + | 0.121860i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −20.4959 | + | 1.89922i | −1.19943 | + | 0.111144i | ||||
\(293\) | 0.238781 | + | 0.839229i | 0.0139498 | + | 0.0490283i | 0.968488 | − | 0.249060i | \(-0.0801216\pi\) |
−0.954538 | + | 0.298088i | \(0.903651\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.63512 | + | 4.25545i | −0.328090 | + | 0.247762i | ||||
\(296\) | 25.3766 | − | 4.74370i | 1.47498 | − | 0.275722i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.787784 | − | 1.58208i | −0.0456351 | − | 0.0916477i | ||||
\(299\) | −4.10782 | − | 1.16877i | −0.237561 | − | 0.0675920i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.32940 | + | 23.1602i | −0.249542 | + | 1.33493i | ||||
\(302\) | 1.83843 | − | 0.343661i | 0.105789 | − | 0.0197755i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 2.91244 | + | 2.65504i | 0.167040 | + | 0.152277i | ||||
\(305\) | −1.05634 | + | 1.39882i | −0.0604859 | + | 0.0800963i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 9.11655 | − | 4.53950i | 0.520309 | − | 0.259083i | −0.166345 | − | 0.986068i | \(-0.553196\pi\) |
0.686654 | + | 0.726984i | \(0.259079\pi\) | |||||||
\(308\) | −16.6938 | −0.951216 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.245337 | −0.0139342 | ||||||||
\(311\) | −27.6436 | + | 13.7649i | −1.56753 | + | 0.780535i | −0.999109 | − | 0.0422060i | \(-0.986561\pi\) |
−0.568417 | + | 0.822741i | \(0.692444\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −13.1881 | + | 17.4639i | −0.745435 | + | 0.987116i | 0.254364 | + | 0.967108i | \(0.418134\pi\) |
−0.999800 | + | 0.0200075i | \(0.993631\pi\) | |||||||
\(314\) | 8.18068 | + | 7.45767i | 0.461662 | + | 0.420861i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.17858 | − | 1.52884i | 0.460081 | − | 0.0860041i | ||||
\(317\) | −2.12308 | + | 11.3575i | −0.119244 | + | 0.637899i | 0.870167 | + | 0.492757i | \(0.164011\pi\) |
−0.989411 | + | 0.145142i | \(0.953636\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 18.9006 | + | 5.37768i | 1.05823 | + | 0.301092i | ||||
\(320\) | −0.568803 | − | 1.14231i | −0.0317971 | − | 0.0638571i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −3.82111 | + | 0.714289i | −0.212942 | + | 0.0398058i | ||||
\(323\) | 4.66703 | − | 3.52438i | 0.259681 | − | 0.196102i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.86674 | + | 6.56090i | 0.103548 | + | 0.363933i | ||||
\(326\) | −5.20776 | + | 0.482570i | −0.288431 | + | 0.0267271i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −16.2226 | + | 10.0446i | −0.895742 | + | 0.554620i | ||||
\(329\) | 29.9776 | − | 5.60378i | 1.65272 | − | 0.308947i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 24.2962 | + | 18.3476i | 1.33544 | + | 1.00848i | 0.997738 | + | 0.0672213i | \(0.0214133\pi\) |
0.337699 | + | 0.941254i | \(0.390351\pi\) | |||||||
\(332\) | −7.09386 | − | 3.53232i | −0.389326 | − | 0.193861i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.792360 | − | 8.55092i | −0.0433560 | − | 0.467886i | ||||
\(335\) | −12.7838 | + | 9.65385i | −0.698452 | + | 0.527446i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.61794 | + | 9.27408i | −0.251555 | + | 0.505191i | −0.984563 | − | 0.175029i | \(-0.943998\pi\) |
0.733008 | + | 0.680220i | \(0.238116\pi\) | |||||||
\(338\) | −4.20746 | + | 4.61536i | −0.228855 | + | 0.251043i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 3.89080 | − | 1.10703i | 0.211008 | − | 0.0600370i | ||||
\(341\) | 0.823928 | + | 0.903806i | 0.0446182 | + | 0.0489439i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 15.9286 | − | 9.86256i | 0.860063 | − | 0.532528i | ||||
\(344\) | 18.4186 | + | 11.4043i | 0.993062 | + | 0.614878i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.328038 | − | 0.846765i | −0.0176355 | − | 0.0455224i | ||||
\(347\) | 2.02741 | − | 3.27438i | 0.108837 | − | 0.175778i | −0.791244 | − | 0.611501i | \(-0.790566\pi\) |
0.900081 | + | 0.435723i | \(0.143507\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 18.0591 | − | 13.6376i | 0.966681 | − | 0.730004i | 0.00381778 | − | 0.999993i | \(-0.498785\pi\) |
0.962863 | + | 0.269989i | \(0.0870201\pi\) | |||||||
\(350\) | 4.18277 | + | 4.58828i | 0.223579 | + | 0.245254i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.67840 | + | 22.4015i | −0.462560 | + | 1.19401i | ||||
\(353\) | −21.0184 | − | 3.92901i | −1.11869 | − | 0.209120i | −0.408247 | − | 0.912871i | \(-0.633860\pi\) |
−0.710447 | + | 0.703751i | \(0.751507\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.683649 | −0.0362843 | ||||||||
\(356\) | −18.0174 | −0.954922 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 3.07018 | − | 1.18939i | 0.162264 | − | 0.0628614i | ||||
\(359\) | 19.0354 | + | 30.7433i | 1.00465 | + | 1.62257i | 0.756662 | + | 0.653807i | \(0.226829\pi\) |
0.247991 | + | 0.968762i | \(0.420230\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.15409 | + | 10.3508i | −0.271268 | + | 0.544779i | ||||
\(362\) | 10.9397 | − | 6.77358i | 0.574978 | − | 0.356011i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.14697 | + | 7.54581i | −0.112532 | + | 0.395508i | ||||
\(365\) | 16.3988i | 0.858350i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.21185 | − | 11.2885i | 0.167657 | − | 0.589253i | −0.831761 | − | 0.555134i | \(-0.812667\pi\) |
0.999418 | − | 0.0341191i | \(-0.0108626\pi\) | |||||||
\(368\) | 0.581439 | − | 3.11043i | 0.0303096 | − | 0.162142i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −0.825177 | − | 8.90507i | −0.0428989 | − | 0.462953i | ||||
\(371\) | 19.3164 | − | 17.6092i | 1.00286 | − | 0.914226i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −14.8244 | − | 5.74299i | −0.767577 | − | 0.297361i | −0.0545627 | − | 0.998510i | \(-0.517376\pi\) |
−0.713014 | + | 0.701149i | \(0.752671\pi\) | |||||||
\(374\) | 5.13962 | + | 3.18231i | 0.265763 | + | 0.164554i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.15236 | − | 27.5627i | 0.265713 | − | 1.42144i | ||||
\(377\) | 4.86157 | − | 7.85170i | 0.250383 | − | 0.404383i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.92800 | + | 0.271319i | 0.150401 | + | 0.0139367i | 0.167205 | − | 0.985922i | \(-0.446526\pi\) |
−0.0168043 | + | 0.999859i | \(0.505349\pi\) | |||||||
\(380\) | 3.80154 | − | 3.46556i | 0.195015 | − | 0.177779i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.00227 | − | 1.09944i | −0.0512806 | − | 0.0562521i | ||||
\(383\) | 1.73634 | + | 1.58289i | 0.0887230 | + | 0.0808817i | 0.716842 | − | 0.697235i | \(-0.245587\pi\) |
−0.628119 | + | 0.778117i | \(0.716175\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.22714 | + | 13.2430i | −0.0625410 | + | 0.674925i | ||||
\(386\) | −2.74268 | − | 3.63190i | −0.139599 | − | 0.184859i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.10981 | − | 2.83497i | −0.157877 | − | 0.143924i | ||||
\(389\) | −8.45150 | + | 16.9729i | −0.428508 | + | 0.860560i | 0.570715 | + | 0.821148i | \(0.306666\pi\) |
−0.999223 | + | 0.0394117i | \(0.987452\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −4.37860 | − | 1.69628i | −0.221435 | − | 0.0857845i | ||||
\(392\) | −0.0738152 | − | 0.394876i | −0.00372823 | − | 0.0199443i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.24205 | + | 3.20344i | 0.213711 | + | 0.161387i | ||||
\(395\) | −0.611614 | − | 6.60036i | −0.0307736 | − | 0.332100i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.75164 | − | 2.20553i | 0.389043 | − | 0.110692i | −0.0734861 | − | 0.997296i | \(-0.523412\pi\) |
0.462530 | + | 0.886604i | \(0.346942\pi\) | |||||||
\(398\) | −4.31522 | − | 5.71428i | −0.216303 | − | 0.286431i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.71267 | + | 1.82570i | −0.235633 | + | 0.0912848i | ||||
\(401\) | 29.0262 | − | 14.4534i | 1.44950 | − | 0.721766i | 0.463128 | − | 0.886291i | \(-0.346727\pi\) |
0.986373 | + | 0.164525i | \(0.0526092\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0.514497 | − | 0.256189i | 0.0256289 | − | 0.0127617i | ||||
\(404\) | −14.0952 | − | 2.63484i | −0.701261 | − | 0.131088i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0.775568 | − | 8.36971i | 0.0384908 | − | 0.415382i | ||||
\(407\) | −30.0345 | + | 32.9463i | −1.48876 | + | 1.63309i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.7789 | − | 13.4849i | −1.07690 | − | 0.666787i | −0.131043 | − | 0.991377i | \(-0.541833\pi\) |
−0.945855 | + | 0.324590i | \(0.894774\pi\) | |||||||
\(410\) | 2.94627 | + | 5.91691i | 0.145506 | + | 0.292215i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 15.3167 | + | 3.04452i | 0.754601 | + | 0.149993i | ||||
\(413\) | − | 15.0571i | − | 0.740913i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.32361 | + | 5.36782i | −0.163150 | + | 0.263496i | ||||
\(416\) | 9.00967 | + | 6.80379i | 0.441736 | + | 0.333583i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 7.65440 | + | 0.709285i | 0.374389 | + | 0.0346922i | ||||
\(419\) | 4.48466 | + | 23.9908i | 0.219090 | + | 1.17203i | 0.898737 | + | 0.438489i | \(0.144486\pi\) |
−0.679646 | + | 0.733540i | \(0.737867\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −16.3991 | − | 32.9338i | −0.799241 | − | 1.60509i | −0.796151 | − | 0.605098i | \(-0.793134\pi\) |
−0.00309050 | − | 0.999995i | \(-0.500984\pi\) | |||||||
\(422\) | −2.84317 | + | 9.99272i | −0.138403 | + | 0.486438i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.68158 | − | 22.4098i | −0.421615 | − | 1.08831i | ||||
\(425\) | 1.37809 | + | 7.37214i | 0.0668472 | + | 0.357601i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.02286 | − | 3.59499i | −0.0494998 | − | 0.173974i | ||||
\(428\) | 9.09544 | − | 2.58788i | 0.439645 | − | 0.125090i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 4.52254 | − | 5.98881i | 0.218096 | − | 0.288806i | ||||
\(431\) | −20.2794 | − | 32.7523i | −0.976823 | − | 1.57762i | −0.805658 | − | 0.592382i | \(-0.798188\pi\) |
−0.171166 | − | 0.985242i | \(-0.554753\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.280835 | − | 0.724918i | 0.0134961 | − | 0.0348373i | −0.925561 | − | 0.378597i | \(-0.876407\pi\) |
0.939058 | + | 0.343760i | \(0.111701\pi\) | |||||||
\(434\) | 0.315259 | − | 0.417471i | 0.0151329 | − | 0.0200392i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 7.62221 | − | 8.36116i | 0.365037 | − | 0.400427i | ||||
\(437\) | −5.94579 | + | 0.550959i | −0.284426 | + | 0.0263559i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 5.43292 | + | 0.503434i | 0.259299 | + | 0.0240276i | 0.221133 | − | 0.975244i | \(-0.429025\pi\) |
0.0381667 | + | 0.999271i | \(0.487848\pi\) | |||||||
\(440\) | 10.9464 | + | 5.45064i | 0.521847 | + | 0.259849i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.09945 | − | 1.91390i | 0.0998606 | − | 0.0910350i | ||||
\(443\) | 4.29132 | + | 15.0824i | 0.203887 | + | 0.716587i | 0.994543 | + | 0.104327i | \(0.0332689\pi\) |
−0.790656 | + | 0.612260i | \(0.790260\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −1.32445 | + | 14.2930i | −0.0627847 | + | 0.677555i | ||||
\(446\) | −2.02719 | − | 3.27403i | −0.0959904 | − | 0.155030i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.67470 | + | 0.499987i | 0.126368 | + | 0.0236222i | ||||
\(449\) | −19.9450 | + | 7.72672i | −0.941261 | + | 0.364647i | −0.782486 | − | 0.622668i | \(-0.786049\pi\) |
−0.158775 | + | 0.987315i | \(0.550755\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 11.9029 | − | 30.7250i | 0.560487 | − | 1.44678i | ||||
\(452\) | −0.663927 | − | 0.879181i | −0.0312285 | − | 0.0413532i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −10.4233 | + | 0.965859i | −0.489189 | + | 0.0453300i | ||||
\(455\) | 5.82819 | + | 2.25785i | 0.273230 | + | 0.105850i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 30.0328 | + | 8.54505i | 1.40487 | + | 0.399721i | 0.889378 | − | 0.457172i | \(-0.151138\pi\) |
0.515495 | + | 0.856893i | \(0.327608\pi\) | |||||||
\(458\) | 0.729229i | 0.0340746i | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.97262 | − | 1.13031i | −0.185224 | − | 0.0527008i | ||||
\(461\) | −7.51549 | − | 19.3997i | −0.350031 | − | 0.903535i | −0.990743 | − | 0.135753i | \(-0.956655\pi\) |
0.640711 | − | 0.767782i | \(-0.278640\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −20.5008 | − | 10.2082i | −0.952753 | − | 0.474414i | −0.0989966 | − | 0.995088i | \(-0.531563\pi\) |
−0.853756 | + | 0.520673i | \(0.825681\pi\) | |||||||
\(464\) | 6.12491 | + | 3.04984i | 0.284342 | + | 0.141585i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.22064 | − | 3.15084i | −0.0565452 | − | 0.145960i | ||||
\(467\) | −26.4686 | − | 7.53096i | −1.22482 | − | 0.348491i | −0.401389 | − | 0.915908i | \(-0.631473\pi\) |
−0.823431 | + | 0.567416i | \(0.807943\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | − | 34.1584i | − | 1.57729i | ||||||
\(470\) | −9.34284 | − | 2.65827i | −0.430953 | − | 0.122617i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −12.9093 | − | 5.00109i | −0.594199 | − | 0.230194i | ||||
\(473\) | −37.2507 | + | 3.45179i | −1.71279 | + | 0.158713i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.74742 | + | 7.61081i | 0.263710 | + | 0.349208i | ||||
\(476\) | −3.11596 | + | 8.04321i | −0.142820 | + | 0.368660i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.55315 | − | 1.76390i | 0.208256 | − | 0.0806789i | ||||
\(479\) | −23.8099 | − | 4.45085i | −1.08790 | − | 0.203364i | −0.390901 | − | 0.920433i | \(-0.627836\pi\) |
−0.697003 | + | 0.717068i | \(0.745483\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 11.0295 | + | 17.8132i | 0.502900 | + | 0.812212i | ||||
\(482\) | −1.11017 | + | 11.9806i | −0.0505668 | + | 0.545703i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.62170 | − | 9.21432i | −0.119168 | − | 0.418833i | ||||
\(485\) | −2.47755 | + | 2.25859i | −0.112500 | + | 0.102557i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −20.1509 | − | 10.0340i | −0.913125 | − | 0.454682i | −0.0731586 | − | 0.997320i | \(-0.523308\pi\) |
−0.839967 | + | 0.542638i | \(0.817426\pi\) | |||||||
\(488\) | −3.42191 | − | 0.317087i | −0.154903 | − | 0.0143539i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.138569 | + | 0.0128403i | −0.00625990 | + | 0.000580065i | ||||
\(491\) | −29.5024 | + | 32.3626i | −1.33142 | + | 1.46050i | −0.552281 | + | 0.833658i | \(0.686243\pi\) |
−0.779143 | + | 0.626846i | \(0.784346\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 6.11889 | − | 8.10271i | 0.275581 | − | 0.364928i | ||||
\(494\) | 1.30503 | − | 3.36867i | 0.0587161 | − | 0.151564i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.224175 | + | 0.362055i | 0.0100657 | + | 0.0162567i | ||||
\(497\) | 0.878493 | − | 1.16331i | 0.0394058 | − | 0.0521817i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −11.0031 | + | 3.13066i | −0.492567 | + | 0.140147i | −0.510823 | − | 0.859686i | \(-0.670659\pi\) |
0.0182558 | + | 0.999833i | \(0.494189\pi\) | |||||||
\(500\) | 4.38636 | + | 15.4164i | 0.196164 | + | 0.689445i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −1.89680 | − | 10.1470i | −0.0846582 | − | 0.452881i | ||||
\(503\) | −6.39776 | − | 16.5145i | −0.285262 | − | 0.736346i | −0.999342 | − | 0.0362816i | \(-0.988449\pi\) |
0.714080 | − | 0.700065i | \(-0.246845\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.12632 | + | 10.9879i | −0.139119 | + | 0.488953i | ||||
\(506\) | −2.75118 | − | 5.52511i | −0.122305 | − | 0.245621i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.59909 | + | 24.6029i | 0.204051 | + | 1.09158i | ||||
\(509\) | 20.2887 | + | 1.88002i | 0.899280 | + | 0.0833305i | 0.531965 | − | 0.846766i | \(-0.321454\pi\) |
0.367315 | + | 0.930097i | \(0.380277\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −27.9045 | − | 21.0725i | −1.23442 | − | 0.932193i | ||||
\(512\) | −8.06041 | + | 13.0180i | −0.356223 | + | 0.575320i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 5.95038i | 0.262460i | ||||||||
\(515\) | 3.54110 | − | 11.9268i | 0.156040 | − | 0.525558i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 21.5837 | + | 43.3459i | 0.949249 | + | 1.90635i | ||||
\(518\) | 16.2134 | + | 10.0389i | 0.712377 | + | 0.441085i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.87156 | − | 4.24690i | 0.169779 | − | 0.186239i | ||||
\(521\) | −3.93402 | + | 42.4548i | −0.172352 | + | 1.85998i | 0.269641 | + | 0.962961i | \(0.413095\pi\) |
−0.441993 | + | 0.897018i | \(0.645729\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.5222 | − | 1.96694i | −0.460105 | − | 0.0860085i | −0.0514061 | − | 0.998678i | \(-0.516370\pi\) |
−0.408699 | + | 0.912669i | \(0.634017\pi\) | |||||||
\(524\) | 4.07950 | − | 2.03135i | 0.178214 | − | 0.0887399i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.79179 | − | 3.38191i | 0.296136 | − | 0.147458i | ||||
\(527\) | 0.589252 | − | 0.228277i | 0.0256682 | − | 0.00994392i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.9713 | − | 14.5284i | −0.477013 | − | 0.631668i | ||||
\(530\) | −8.00756 | + | 2.27835i | −0.347826 | + | 0.0989651i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.01208 | + | 10.9221i | 0.0438791 | + | 0.473531i | ||||
\(533\) | −12.3573 | − | 9.33178i | −0.535253 | − | 0.404204i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −1.38434 | − | 7.40555i | −0.0598501 | − | 0.320170i | ||||
\(536\) | −29.2859 | − | 11.3454i | −1.26496 | − | 0.490047i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.71035 | + | 5.44312i | −0.116852 | + | 0.234670i | ||||
\(539\) | 0.512666 | + | 0.467357i | 0.0220821 | + | 0.0201305i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −6.18277 | − | 8.18731i | −0.265818 | − | 0.352000i | 0.645458 | − | 0.763796i | \(-0.276666\pi\) |
−0.911276 | + | 0.411796i | \(0.864902\pi\) | |||||||
\(542\) | 0.557832 | − | 6.01997i | 0.0239609 | − | 0.258580i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 9.17341 | + | 8.36267i | 0.393307 | + | 0.358546i | ||||
\(545\) | −6.07252 | − | 6.66124i | −0.260118 | − | 0.285336i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 9.50222 | − | 8.66242i | 0.406286 | − | 0.370378i | −0.444600 | − | 0.895729i | \(-0.646654\pi\) |
0.850886 | + | 0.525351i | \(0.176066\pi\) | |||||||
\(548\) | −29.3608 | − | 2.72068i | −1.25423 | − | 0.116222i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.18959 | + | 8.38148i | −0.221285 | + | 0.357388i | ||||
\(551\) | 2.37253 | − | 12.6919i | 0.101073 | − | 0.540693i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 12.0173 | + | 7.44077i | 0.511026 | + | 0.316414i | ||||
\(554\) | −17.3349 | − | 6.71557i | −0.736489 | − | 0.285317i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 22.7852 | − | 20.7714i | 0.966306 | − | 0.880905i | ||||
\(557\) | 2.95360 | + | 31.8744i | 0.125148 | + | 1.35056i | 0.794340 | + | 0.607474i | \(0.207817\pi\) |
−0.669192 | + | 0.743090i | \(0.733359\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.23052 | + | 17.2818i | −0.136636 | + | 0.730940i | ||||
\(560\) | −1.26729 | + | 4.45407i | −0.0535529 | + | 0.188219i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 4.89890i | − | 0.206648i | ||||||
\(563\) | 3.75348 | − | 13.1921i | 0.158190 | − | 0.555981i | −0.841682 | − | 0.539974i | \(-0.818434\pi\) |
0.999872 | − | 0.0160069i | \(-0.00509539\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.746250 | + | 0.462058i | −0.0313950 | + | 0.0194389i | ||||
\(566\) | 1.66979 | − | 3.35339i | 0.0701865 | − | 0.140953i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.705588 | − | 1.13956i | −0.0296058 | − | 0.0478150i | ||||
\(569\) | 14.6673 | − | 5.68214i | 0.614885 | − | 0.238208i | −0.0336000 | − | 0.999435i | \(-0.510697\pi\) |
0.648485 | + | 0.761228i | \(0.275403\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −10.3924 | −0.434909 | −0.217454 | − | 0.976071i | \(-0.569775\pi\) | ||||
−0.217454 | + | 0.976071i | \(0.569775\pi\) | |||||||
\(572\) | −12.4566 | −0.520837 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −13.8543 | − | 2.58982i | −0.578269 | − | 0.108097i | ||||
\(575\) | 2.76622 | − | 7.14044i | 0.115359 | − | 0.297777i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −19.9664 | − | 21.9021i | −0.831213 | − | 0.911797i | 0.166021 | − | 0.986122i | \(-0.446908\pi\) |
−0.997234 | + | 0.0743249i | \(0.976320\pi\) | |||||||
\(578\) | −6.72122 | + | 5.07563i | −0.279566 | + | 0.211118i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.70156 | − | 7.59328i | 0.195222 | − | 0.315294i | ||||
\(581\) | −4.86314 | − | 12.5532i | −0.201757 | − | 0.520795i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 35.2855 | + | 21.8479i | 1.46138 | + | 0.904847i | ||||
\(584\) | −27.3348 | + | 16.9250i | −1.13112 | + | 0.700362i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.399233 | + | 0.437938i | 0.0164922 | + | 0.0180910i | ||||
\(587\) | 9.87679 | − | 2.81019i | 0.407659 | − | 0.115989i | −0.0636179 | − | 0.997974i | \(-0.520264\pi\) |
0.471277 | + | 0.881985i | \(0.343793\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.541372 | − | 0.593857i | 0.0223068 | − | 0.0244694i | ||||
\(590\) | −2.13771 | + | 4.29311i | −0.0880083 | + | 0.176744i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −12.3876 | + | 9.35469i | −0.509128 | + | 0.384476i | ||||
\(593\) | −3.37825 | − | 36.4571i | −0.138728 | − | 1.49711i | −0.725984 | − | 0.687712i | \(-0.758615\pi\) |
0.587256 | − | 0.809401i | \(-0.300208\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.15154 | + | 3.06311i | 0.252189 | + | 0.125575i | ||||
\(596\) | 3.19538 | + | 2.41304i | 0.130888 | + | 0.0988420i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.85125 | + | 0.532990i | −0.116596 | + | 0.0217956i | ||||
\(599\) | −2.71003 | + | 1.67798i | −0.110729 | + | 0.0685605i | −0.580679 | − | 0.814132i | \(-0.697213\pi\) |
0.469950 | + | 0.882693i | \(0.344272\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.5293 | − | 1.80965i | 0.796616 | − | 0.0738173i | 0.313743 | − | 0.949508i | \(-0.398417\pi\) |
0.482873 | + | 0.875691i | \(0.339593\pi\) | |||||||
\(602\) | 4.37921 | + | 15.3913i | 0.178483 | + | 0.627303i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −3.38143 | + | 2.55353i | −0.137588 | + | 0.103902i | ||||
\(605\) | −7.50234 | + | 1.40243i | −0.305013 | + | 0.0570169i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1.34473 | + | 2.70059i | 0.0545810 | + | 0.109613i | 0.920774 | − | 0.390095i | \(-0.127558\pi\) |
−0.866193 | + | 0.499709i | \(0.833440\pi\) | |||||||
\(608\) | 15.1825 | + | 4.31981i | 0.615734 | + | 0.175191i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −0.218753 | + | 1.17023i | −0.00885706 | + | 0.0473811i | ||||
\(611\) | 22.3688 | − | 4.18145i | 0.904943 | − | 0.169163i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −16.6747 | − | 15.2010i | −0.673484 | − | 0.613962i | 0.262948 | − | 0.964810i | \(-0.415305\pi\) |
−0.936432 | + | 0.350848i | \(0.885893\pi\) | |||||||
\(614\) | 4.16832 | − | 5.51975i | 0.168220 | − | 0.222759i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −23.3411 | + | 11.6225i | −0.940438 | + | 0.468283i | ||||
\(617\) | 6.08410 | 0.244937 | 0.122468 | − | 0.992472i | \(-0.460919\pi\) | ||||
0.122468 | + | 0.992472i | \(0.460919\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −5.50076 | −0.221094 | −0.110547 | − | 0.993871i | \(-0.535260\pi\) | ||||
−0.110547 | + | 0.993871i | \(0.535260\pi\) | |||||||
\(620\) | 0.497563 | − | 0.247757i | 0.0199826 | − | 0.00995017i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.6394 | + | 16.7372i | −0.506792 | + | 0.671101i | ||||
\(623\) | −22.6194 | − | 20.6204i | −0.906229 | − | 0.826137i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −4.63614 | + | 0.866646i | −0.185446 | + | 0.0346658i | ||||
\(626\) | −2.73107 | + | 14.6099i | −0.109156 | + | 0.583930i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −24.1223 | − | 6.86339i | −0.962586 | − | 0.273879i | ||||
\(629\) | 10.2678 | + | 20.6205i | 0.409403 | + | 0.822192i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.00854 | + | 0.562393i | −0.119768 | + | 0.0223885i | −0.243292 | − | 0.969953i | \(-0.578227\pi\) |
0.123524 | + | 0.992342i | \(0.460580\pi\) | |||||||
\(632\) | 10.3708 | − | 7.83167i | 0.412528 | − | 0.311527i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.14751 | + | 7.54770i | 0.0852883 | + | 0.299757i | ||||
\(635\) | 19.8553 | − | 1.83987i | 0.787934 | − | 0.0730129i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.277185 | − | 0.171626i | 0.0109825 | − | 0.00680006i | ||||
\(638\) | 13.1190 | − | 2.45236i | 0.519384 | − | 0.0970897i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 10.6335 | + | 8.03004i | 0.420326 | + | 0.317415i | ||||
\(641\) | 39.3324 | + | 19.5852i | 1.55354 | + | 0.773570i | 0.998309 | − | 0.0581285i | \(-0.0185133\pi\) |
0.555228 | + | 0.831698i | \(0.312631\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −4.14153 | − | 44.6942i | −0.163326 | − | 1.76257i | −0.545154 | − | 0.838336i | \(-0.683529\pi\) |
0.381828 | − | 0.924233i | \(-0.375295\pi\) | |||||||
\(644\) | 7.02819 | − | 5.30744i | 0.276950 | − | 0.209143i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 1.77046 | − | 3.55557i | 0.0696580 | − | 0.139892i | ||||
\(647\) | 10.8471 | − | 11.8987i | 0.426444 | − | 0.467786i | −0.487798 | − | 0.872957i | \(-0.662200\pi\) |
0.914241 | + | 0.405170i | \(0.132788\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 22.9948 | − | 6.54257i | 0.902623 | − | 0.256818i | ||||
\(650\) | 3.12111 | + | 3.42370i | 0.122420 | + | 0.134288i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.0744 | − | 6.23783i | 0.394545 | − | 0.244292i | ||||
\(653\) | −21.6691 | − | 13.4169i | −0.847977 | − | 0.525045i | 0.0323150 | − | 0.999478i | \(-0.489712\pi\) |
−0.880292 | + | 0.474433i | \(0.842653\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.31157 | − | 3.38555i | −0.0512472 | − | 0.132284i | ||||
\(656\) | 6.03972 | − | 9.75448i | 0.235811 | − | 0.380848i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 16.5290 | − | 12.4821i | 0.644367 | − | 0.486603i | ||||
\(659\) | 26.0003 | + | 28.5210i | 1.01283 | + | 1.11102i | 0.993798 | + | 0.111201i | \(0.0354696\pi\) |
0.0190300 | + | 0.999819i | \(0.493942\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.43154 | + | 24.3456i | −0.366844 | + | 0.946935i | 0.619904 | + | 0.784678i | \(0.287172\pi\) |
−0.986749 | + | 0.162257i | \(0.948123\pi\) | |||||||
\(662\) | 20.3257 | + | 3.79953i | 0.789981 | + | 0.147673i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.3778 | −0.480352 | ||||||||
\(665\) | 8.73874 | 0.338874 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.66700 | + | 3.74502i | −0.374308 | + | 0.145008i | ||||
\(668\) | 10.2422 | + | 16.5418i | 0.396284 | + | 0.640021i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −4.84959 | + | 9.73929i | −0.187356 | + | 0.376262i | ||||
\(671\) | 5.04570 | − | 3.12416i | 0.194787 | − | 0.120607i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 2.33801 | − | 8.21725i | 0.0901236 | − | 0.316752i | −0.903635 | − | 0.428303i | \(-0.859111\pi\) |
0.993759 | + | 0.111552i | \(0.0355821\pi\) | |||||||
\(674\) | 7.03634i | 0.271030i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.87218 | − | 13.6093i | 0.148930 | − | 0.523434i | ||||
\(677\) | 0.0590824 | − | 0.316063i | 0.00227072 | − | 0.0121473i | −0.981819 | − | 0.189820i | \(-0.939210\pi\) |
0.984090 | + | 0.177672i | \(0.0568567\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.659594 | − | 7.11815i | −0.0253129 | − | 0.273170i | ||||
\(680\) | 4.66935 | − | 4.25667i | 0.179061 | − | 0.163236i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0.774533 | + | 0.300056i | 0.0296584 | + | 0.0114897i | ||||
\(683\) | −28.0563 | − | 17.3718i | −1.07355 | − | 0.664712i | −0.128520 | − | 0.991707i | \(-0.541023\pi\) |
−0.945026 | + | 0.326995i | \(0.893964\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −4.31657 | + | 23.0916i | −0.164928 | + | 0.882285i | ||||
\(686\) | 6.69836 | − | 10.8182i | 0.255744 | − | 0.413041i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −12.9704 | − | 1.20188i | −0.494492 | − | 0.0458214i | ||||
\(689\) | 14.4136 | − | 13.1397i | 0.549113 | − | 0.500583i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 31.7005 | + | 34.7738i | 1.20594 | + | 1.32286i | 0.932587 | + | 0.360946i | \(0.117546\pi\) |
0.273358 | + | 0.961912i | \(0.411866\pi\) | |||||||
\(692\) | 1.52041 | + | 1.38603i | 0.0577972 | + | 0.0526891i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0.241341 | − | 2.60448i | 0.00916117 | − | 0.0988647i | ||||
\(695\) | −14.8028 | − | 19.6021i | −0.561503 | − | 0.743551i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −12.5819 | − | 11.4699i | −0.476572 | − | 0.434453i | ||||
\(698\) | 6.85082 | − | 13.7583i | 0.259307 | − | 0.520759i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −13.1166 | − | 5.08138i | −0.495759 | − | 0.192058i | ||||
\(701\) | −3.76848 | − | 20.1596i | −0.142334 | − | 0.761418i | −0.977421 | − | 0.211301i | \(-0.932230\pi\) |
0.835087 | − | 0.550117i | \(-0.185417\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 23.3763 | + | 17.6530i | 0.881653 | + | 0.665794i | ||||
\(704\) | 0.398636 | + | 4.30196i | 0.0150241 | + | 0.162136i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −13.9679 | + | 3.97422i | −0.525690 | + | 0.149572i | ||||
\(707\) | −14.6799 | − | 19.4393i | −0.552093 | − | 0.731089i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.48924 | + | 3.67615i | −0.356376 | + | 0.138061i | −0.532773 | − | 0.846258i | \(-0.678850\pi\) |
0.176397 | + | 0.984319i | \(0.443556\pi\) | |||||||
\(710\) | −0.415637 | + | 0.206963i | −0.0155986 | + | 0.00776716i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −25.1918 | + | 12.5440i | −0.944103 | + | 0.470107i | ||||
\(713\) | −0.634226 | − | 0.118557i | −0.0237520 | − | 0.00444001i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.915674 | + | 9.88169i | −0.0342442 | + | 0.369554i | ||||
\(716\) | −5.02545 | + | 5.51266i | −0.187810 | + | 0.206018i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 20.8799 | + | 12.9283i | 0.779232 | + | 0.482480i | ||||
\(719\) | 3.74092 | + | 7.51278i | 0.139513 | + | 0.280179i | 0.953890 | − | 0.300156i | \(-0.0970389\pi\) |
−0.814377 | + | 0.580336i | \(0.802921\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 15.7446 | + | 21.3516i | 0.586359 | + | 0.795176i | ||||
\(722\) | 7.85327i | 0.292268i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −15.3462 | + | 24.7850i | −0.570338 | + | 0.921127i | ||||
\(725\) | 13.2136 | + | 9.97844i | 0.490740 | + | 0.370590i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −6.55771 | − | 0.607661i | −0.243212 | − | 0.0225369i | −0.0300283 | − | 0.999549i | \(-0.509560\pi\) |
−0.213184 | + | 0.977012i | \(0.568383\pi\) | |||||||
\(728\) | 2.25164 | + | 12.0452i | 0.0834514 | + | 0.446426i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.96443 | + | 9.96992i | 0.183742 | + | 0.369003i | ||||
\(731\) | −5.28989 | + | 18.5920i | −0.195654 | + | 0.687651i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −11.3841 | − | 29.3858i | −0.420482 | − | 1.08539i | −0.968520 | − | 0.248935i | \(-0.919919\pi\) |
0.548039 | − | 0.836453i | \(-0.315375\pi\) | |||||||
\(734\) | −1.46468 | − | 7.83536i | −0.0540624 | − | 0.289208i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.46845 | − | 12.1903i | −0.127849 | − | 0.449341i | ||||
\(737\) | 52.1656 | − | 14.8424i | 1.92155 | − | 0.546727i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.8853 | + | 21.0355i | −0.584349 | + | 0.773804i | −0.990128 | − | 0.140168i | \(-0.955236\pi\) |
0.405778 | + | 0.913972i | \(0.367000\pi\) | |||||||
\(740\) | 10.6664 | + | 17.2269i | 0.392106 | + | 0.633274i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 6.41288 | − | 16.5535i | 0.235424 | − | 0.607700i | ||||
\(743\) | 26.6306 | − | 35.2646i | 0.976983 | − | 1.29373i | 0.0211645 | − | 0.999776i | \(-0.493263\pi\) |
0.955818 | − | 0.293958i | \(-0.0949727\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.14913 | − | 2.35748i | 0.0787380 | − | 0.0863715i | ||||
\(746\) | −10.7513 | + | 0.996258i | −0.393634 | + | 0.0364756i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −13.6373 | − | 1.26368i | −0.498628 | − | 0.0462047i | ||||
\(749\) | 14.3803 | + | 7.16056i | 0.525446 | + | 0.261641i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 7.89424 | − | 7.19655i | 0.288065 | − | 0.262606i | −0.516744 | − | 0.856140i | \(-0.672856\pi\) |
0.804809 | + | 0.593534i | \(0.202268\pi\) | |||||||
\(752\) | 4.61403 | + | 16.2166i | 0.168256 | + | 0.591359i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.578716 | − | 6.24534i | 0.0210756 | − | 0.227442i | ||||
\(755\) | 1.77713 | + | 2.87016i | 0.0646762 | + | 0.104456i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.8897 | − | 4.83963i | −0.940978 | − | 0.175899i | −0.309155 | − | 0.951012i | \(-0.600046\pi\) |
−0.631823 | + | 0.775112i | \(0.717693\pi\) | |||||||
\(758\) | 1.86227 | − | 0.721446i | 0.0676405 | − | 0.0262041i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 2.90249 | − | 7.49220i | 0.105285 | − | 0.271771i | ||||
\(761\) | −13.0020 | − | 17.2175i | −0.471324 | − | 0.624133i | 0.498808 | − | 0.866712i | \(-0.333771\pi\) |
−0.970132 | + | 0.242579i | \(0.922007\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 19.1381 | − | 1.77341i | 0.692847 | − | 0.0642017i | ||||
\(764\) | 3.14297 | + | 1.21759i | 0.113709 | + | 0.0440510i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.53483 | + | 0.436697i | 0.0554557 | + | 0.0157785i | ||||
\(767\) | − | 11.2354i | − | 0.405686i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 29.8413 | + | 8.49059i | 1.07611 | + | 0.306178i | 0.764890 | − | 0.644161i | \(-0.222793\pi\) |
0.311215 | + | 0.950339i | \(0.399264\pi\) | |||||||
\(770\) | 3.26301 | + | 8.42281i | 0.117591 | + | 0.303537i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.23011 | + | 4.59605i | 0.332199 | + | 0.165415i | ||||
\(773\) | 6.40058 | + | 3.18711i | 0.230213 | + | 0.114632i | 0.557144 | − | 0.830416i | \(-0.311897\pi\) |
−0.326931 | + | 0.945048i | \(0.606015\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.372266 | + | 0.960928i | 0.0133722 | + | 0.0345176i | ||||
\(776\) | −6.32186 | − | 1.79872i | −0.226942 | − | 0.0645704i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12.8775i | 0.461681i | ||||||||
\(779\) | −20.8237 | − | 5.92486i | −0.746087 | − | 0.212280i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.15829 | + | 0.836127i | 0.0772298 | + | 0.0299190i | ||||
\(782\) | −3.17557 | + | 0.294259i | −0.113558 | + | 0.0105227i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0.145565 | + | 0.192759i | 0.00519876 | + | 0.00688427i | ||||
\(785\) | −7.21787 | + | 18.6315i | −0.257617 | + | 0.664985i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 0.632071 | − | 0.244866i | 0.0225309 | − | 0.00872852i | −0.349950 | − | 0.936768i | \(-0.613801\pi\) |
0.372481 | + | 0.928040i | \(0.378507\pi\) | |||||||
\(788\) | −11.8383 | − | 2.21296i | −0.421721 | − | 0.0788333i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −2.36998 | − | 3.82766i | −0.0843203 | − | 0.136182i | ||||
\(791\) | 0.172686 | − | 1.86358i | 0.00614002 | − | 0.0662614i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.763242 | − | 2.68252i | −0.0271035 | − | 0.0952590i | ||||
\(794\) | 4.04506 | − | 3.68756i | 0.143554 | − | 0.130867i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 14.5223 | + | 7.23123i | 0.514728 | + | 0.256304i | ||||
\(797\) | −0.817780 | − | 0.0757785i | −0.0289672 | − | 0.00268421i | 0.0777750 | − | 0.996971i | \(-0.475218\pi\) |
−0.106742 | + | 0.994287i | \(0.534042\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 24.9131 | − | 2.30854i | 0.881363 | − | 0.0816703i | ||||
\(800\) | −13.6375 | + | 14.9596i | −0.482159 | + | 0.528903i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 13.2715 | − | 17.5744i | 0.468634 | − | 0.620572i | ||||
\(803\) | 20.0563 | − | 51.7712i | 0.707771 | − | 1.82697i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.69370 | − | 5.96554i | −0.130186 | − | 0.210257i | ||||
\(806\) | 0.235241 | − | 0.311510i | 0.00828601 | − | 0.0109725i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −21.5421 | + | 6.12927i | −0.757850 | + | 0.215627i | ||||
\(809\) | −7.59310 | − | 26.6870i | −0.266959 | − | 0.938264i | −0.973137 | − | 0.230229i | \(-0.926053\pi\) |
0.706178 | − | 0.708035i | \(-0.250418\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.158643 | − | 0.848665i | −0.00557071 | − | 0.0298007i | 0.980075 | − | 0.198629i | \(-0.0636488\pi\) |
−0.985646 | + | 0.168828i | \(0.946002\pi\) | |||||||
\(812\) | 6.87936 | + | 17.7577i | 0.241418 | + | 0.623173i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.28613 | + | 29.1227i | −0.290429 | + | 1.02075i | ||||
\(815\) | −4.20784 | − | 8.45048i | −0.147394 | − | 0.296007i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.51673 | + | 24.1624i | 0.158020 | + | 0.845334i | ||||
\(818\) | −17.3232 | − | 1.60523i | −0.605692 | − | 0.0561256i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.9506 | − | 9.02465i | −0.417332 | − | 0.315154i | ||||
\(821\) | 12.8085 | − | 20.6865i | 0.447021 | − | 0.721963i | −0.546270 | − | 0.837609i | \(-0.683953\pi\) |
0.993290 | + | 0.115646i | \(0.0368938\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 6.05956i | − | 0.211223i | −0.994407 | − | 0.105611i | \(-0.966320\pi\) | ||
0.994407 | − | 0.105611i | \(-0.0336800\pi\) | |||||||
\(824\) | 23.5353 | − | 6.40694i | 0.819893 | − | 0.223196i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.55828 | − | 9.15425i | −0.158603 | − | 0.318517i | ||||
\(827\) | 14.1728 | + | 8.77541i | 0.492836 | + | 0.305151i | 0.750255 | − | 0.661149i | \(-0.229931\pi\) |
−0.257419 | + | 0.966300i | \(0.582872\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 9.50751 | − | 10.4292i | 0.330210 | − | 0.362223i | −0.551368 | − | 0.834262i | \(-0.685894\pi\) |
0.881577 | + | 0.472040i | \(0.156482\pi\) | |||||||
\(830\) | −0.395639 | + | 4.26963i | −0.0137328 | + | 0.148201i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.99581 | + | 0.373082i | 0.0691924 | + | 0.0129343i | ||||
\(833\) | 0.320868 | − | 0.159773i | 0.0111174 | − | 0.00553582i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.8753 | − | 6.90909i | 0.480176 | − | 0.239099i | ||||
\(836\) | −16.2400 | + | 6.29142i | −0.561673 | + | 0.217593i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.98933 | + | 13.2280i | 0.345076 | + | 0.456954i | ||||
\(839\) | 17.0003 | − | 4.83699i | 0.586914 | − | 0.166992i | 0.0328427 | − | 0.999461i | \(-0.489544\pi\) |
0.554072 | + | 0.832469i | \(0.313073\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.607415 | + | 6.55505i | 0.0209453 | + | 0.226036i | ||||
\(842\) | −19.9402 | − | 15.0582i | −0.687185 | − | 0.518938i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.32511 | − | 23.1373i | −0.148876 | − | 0.796418i | ||||
\(845\) | −10.5115 | − | 4.07216i | −0.361605 | − | 0.140087i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.25414 | − | 14.5683i | 0.249255 | − | 0.500572i | ||||
\(848\) | 10.6791 | + | 9.73530i | 0.366722 | + | 0.334311i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.06962 | + | 4.06483i | 0.105287 | + | 0.139423i | ||||
\(851\) | 2.17013 | − | 23.4195i | 0.0743913 | − | 0.802810i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.5998 | + | 13.3095i | 0.499887 | + | 0.455707i | 0.883938 | − | 0.467605i | \(-0.154883\pi\) |
−0.384051 | + | 0.923312i | \(0.625471\pi\) | |||||||
\(854\) | −1.71019 | − | 1.87598i | −0.0585213 | − | 0.0641949i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.9154 | − | 9.95073i | 0.373082 | − | 0.340109i | ||||
\(857\) | −3.20362 | − | 0.296859i | −0.109433 | − | 0.0101405i | 0.0374122 | − | 0.999300i | \(-0.488089\pi\) |
−0.146846 | + | 0.989159i | \(0.546912\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −14.8831 | + | 24.0370i | −0.507803 | + | 0.820131i | −0.998694 | − | 0.0510906i | \(-0.983730\pi\) |
0.490891 | + | 0.871221i | \(0.336671\pi\) | |||||||
\(860\) | −3.12419 | + | 16.7130i | −0.106534 | + | 0.569907i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −22.2444 | − | 13.7731i | −0.757647 | − | 0.469115i | ||||
\(863\) | −24.3092 | − | 9.41743i | −0.827495 | − | 0.320573i | −0.0900132 | − | 0.995941i | \(-0.528691\pi\) |
−0.737481 | + | 0.675367i | \(0.763985\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.21129 | − | 1.10424i | 0.0411851 | − | 0.0375452i | ||||
\(866\) | −0.0487174 | − | 0.525745i | −0.00165548 | − | 0.0178655i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.217783 | + | 1.16503i | −0.00739203 | + | 0.0395438i | ||||
\(869\) | −6.14161 | + | 21.5855i | −0.208340 | + | 0.732238i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 25.4884i | − | 0.863642i | ||||||
\(872\) | 4.83612 | − | 16.9972i | 0.163772 | − | 0.575598i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.44806 | + | 2.13495i | −0.116632 | + | 0.0722157i | ||||
\(875\) | −12.1369 | + | 24.3741i | −0.410302 | + | 0.823997i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 19.7091 | + | 31.8314i | 0.665531 | + | 1.07487i | 0.991577 | + | 0.129515i | \(0.0413421\pi\) |
−0.326047 | + | 0.945354i | \(0.605717\pi\) | |||||||
\(878\) | 3.45545 | − | 1.33865i | 0.116616 | − | 0.0451772i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −7.35278 | −0.247862 | ||||||||
\(881\) | 58.1348 | 1.95861 | 0.979306 | − | 0.202384i | \(-0.0648689\pi\) | ||||
0.979306 | + | 0.202384i | \(0.0648689\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 26.7675 | + | 5.00372i | 0.900799 | + | 0.168389i | 0.613725 | − | 0.789520i | \(-0.289670\pi\) |
0.287074 | + | 0.957908i | \(0.407317\pi\) | |||||||
\(884\) | −2.32507 | + | 6.00171i | −0.0782007 | + | 0.201859i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7.17492 | + | 7.87051i | 0.241046 | + | 0.264415i | ||||
\(887\) | −46.2994 | + | 34.9637i | −1.55458 | + | 1.17397i | −0.640837 | + | 0.767677i | \(0.721413\pi\) |
−0.913745 | + | 0.406289i | \(0.866823\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −22.3834 | + | 36.1505i | −0.750717 | + | 1.21245i | ||||
\(890\) | 3.52174 | + | 9.09067i | 0.118049 | + | 0.304720i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 7.41764 | + | 4.59281i | 0.248361 | + | 0.153779i | ||||
\(893\) | 27.0509 | − | 16.7492i | 0.905224 | − | 0.560491i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 4.00372 | + | 4.39187i | 0.133829 | + | 0.146804i | ||||
\(896\) | −27.3282 | + | 7.77554i | −0.912971 | + | 0.259763i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.78678 | + | 10.7356i | −0.326589 | + | 0.358251i | ||||
\(899\) | 0.621873 | − | 1.24889i | 0.0207406 | − | 0.0416528i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 17.1127 | − | 12.9229i | 0.570107 | − | 0.430525i | ||||
\(902\) | −2.06484 | − | 22.2832i | −0.0687518 | − | 0.741950i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.54040 | − | 0.767026i | −0.0512328 | − | 0.0255109i | ||||
\(905\) | 18.5336 | + | 13.9959i | 0.616078 | + | 0.465240i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 22.6100 | − | 4.22655i | 0.750754 | − | 0.140340i | 0.205554 | − | 0.978646i | \(-0.434101\pi\) |
0.545201 | + | 0.838306i | \(0.316453\pi\) | |||||||
\(908\) | 20.1639 | − | 12.4850i | 0.669162 | − | 0.414328i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.22688 | − | 0.391678i | 0.140120 | − | 0.0129840i | ||||
\(911\) | −1.74066 | − | 6.11779i | −0.0576707 | − | 0.202692i | 0.927636 | − | 0.373485i | \(-0.121837\pi\) |
−0.985307 | + | 0.170794i | \(0.945367\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 17.0578 | − | 12.8814i | 0.564529 | − | 0.426313i | ||||
\(914\) | 20.8458 | − | 3.89676i | 0.689518 | − | 0.128893i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.736423 | − | 1.47894i | −0.0243321 | − | 0.0488654i | ||||
\(917\) | 7.44630 | + | 2.11865i | 0.245898 | + | 0.0699641i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −2.69880 | + | 14.4373i | −0.0890250 | + | 0.476242i | 0.909183 | + | 0.416397i | \(0.136708\pi\) |
−0.998208 | + | 0.0598444i | \(0.980940\pi\) | |||||||
\(920\) | −6.34141 | + | 1.18541i | −0.209070 | + | 0.0390820i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −10.4421 | − | 9.51923i | −0.343892 | − | 0.313499i | ||||
\(923\) | 0.655516 | − | 0.868044i | 0.0215766 | − | 0.0285720i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −33.6270 | + | 16.7443i | −1.10565 | + | 0.550548i | ||||
\(926\) | −15.5542 | −0.511142 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 27.4055 | 0.899630 | ||||||||
\(929\) | 39.5643 | − | 19.7007i | 1.29806 | − | 0.646358i | 0.342049 | − | 0.939682i | \(-0.388879\pi\) |
0.956013 | + | 0.293324i | \(0.0947614\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0.274692 | − | 0.363751i | 0.00900266 | − | 0.0119214i | ||||
\(932\) | 5.65749 | + | 5.15748i | 0.185317 | + | 0.168939i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −18.3719 | + | 3.43431i | −0.601148 | + | 0.112374i | ||||
\(935\) | −2.00493 | + | 10.7254i | −0.0655681 | + | 0.350758i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 56.3240 | + | 16.0256i | 1.84003 | + | 0.523532i | 0.999824 | − | 0.0187425i | \(-0.00596628\pi\) |
0.840201 | + | 0.542275i | \(0.182437\pi\) | |||||||
\(938\) | −10.3408 | − | 20.7672i | −0.337641 | − | 0.678074i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 21.6325 | − | 4.04382i | 0.705576 | − | 0.131895i | ||||
\(941\) | −13.3971 | + | 10.1170i | −0.436732 | + | 0.329805i | −0.798000 | − | 0.602657i | \(-0.794109\pi\) |
0.361268 | + | 0.932462i | \(0.382344\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 4.75717 | + | 16.7197i | 0.154915 | + | 0.544469i | ||||
\(944\) | 8.28885 | − | 0.768075i | 0.269779 | − | 0.0249987i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −21.6023 | + | 13.3756i | −0.702351 | + | 0.434877i | ||||
\(947\) | 40.8055 | − | 7.62787i | 1.32600 | − | 0.247872i | 0.527340 | − | 0.849654i | \(-0.323189\pi\) |
0.798660 | + | 0.601782i | \(0.205542\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −20.8219 | − | 15.7239i | −0.675906 | − | 0.510421i | ||||
\(950\) | 5.79828 | + | 2.88720i | 0.188121 | + | 0.0936732i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.24311 | + | 13.4153i | 0.0402895 | + | 0.434793i | ||||
\(953\) | −32.1207 | + | 24.2564i | −1.04049 | + | 0.785742i | −0.977214 | − | 0.212254i | \(-0.931919\pi\) |
−0.0632757 | + | 0.997996i | \(0.520155\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 1.19694 | − | 2.40378i | 0.0387321 | − | 0.0777845i | ||||
\(956\) | −7.45286 | + | 8.17540i | −0.241043 | + | 0.264411i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −15.8231 | + | 4.50206i | −0.511221 | + | 0.145455i | ||||
\(959\) | −33.7464 | − | 37.0180i | −1.08973 | − | 1.19538i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −26.2829 | + | 16.2737i | −0.847836 | + | 0.524958i | ||||
\(962\) | 12.0982 | + | 7.49088i | 0.390061 | + | 0.241516i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −9.84731 | − | 25.4188i | −0.317161 | − | 0.818686i | ||||
\(965\) | 4.32449 | − | 6.98430i | 0.139210 | − | 0.224832i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.4220 | − | 16.9323i | 0.721043 | − | 0.544507i | −0.177109 | − | 0.984191i | \(-0.556674\pi\) |
0.898152 | + | 0.439685i | \(0.144910\pi\) | |||||||
\(968\) | −10.0808 | − | 11.0581i | −0.324009 | − | 0.355421i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.822525 | + | 2.12318i | −0.0264097 | + | 0.0681713i | ||||
\(971\) | 44.4899 | + | 8.31660i | 1.42775 | + | 0.266892i | 0.840191 | − | 0.542291i | \(-0.182443\pi\) |
0.587557 | + | 0.809183i | \(0.300090\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 52.3771 | 1.67913 | ||||||||
\(974\) | −15.2887 | −0.489882 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 1.92684 | − | 0.746462i | 0.0616767 | − | 0.0238937i | ||||
\(977\) | 1.84592 | + | 2.98126i | 0.0590562 | + | 0.0953791i | 0.878407 | − | 0.477914i | \(-0.158607\pi\) |
−0.819350 | + | 0.573293i | \(0.805666\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 21.6622 | − | 43.5036i | 0.692327 | − | 1.39038i | ||||
\(980\) | 0.268062 | − | 0.165977i | 0.00856293 | − | 0.00530194i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −8.13932 | + | 28.6068i | −0.259736 | + | 0.912878i | ||||
\(983\) | − | 57.1040i | − | 1.82133i | −0.413141 | − | 0.910667i | \(-0.635568\pi\) | ||
0.413141 | − | 0.910667i | \(-0.364432\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.62573 | + | 9.22850i | −0.0836628 | + | 0.294044i | ||||
\(986\) | 1.26714 | − | 6.77857i | 0.0403538 | − | 0.215874i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.755194 | + | 8.14985i | 0.0240259 | + | 0.259281i | ||||
\(989\) | 14.5854 | − | 13.2963i | 0.463788 | − | 0.422799i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1.96679 | − | 0.761940i | −0.0624773 | − | 0.0242038i | 0.329800 | − | 0.944051i | \(-0.393019\pi\) |
−0.392278 | + | 0.919847i | \(0.628313\pi\) | |||||||
\(992\) | 1.45016 | + | 0.897898i | 0.0460425 | + | 0.0285083i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.181924 | − | 0.973205i | 0.00577026 | − | 0.0308682i | ||||
\(995\) | 6.80398 | − | 10.9888i | 0.215701 | − | 0.348369i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −47.1724 | − | 4.37117i | −1.49397 | − | 0.138436i | −0.685972 | − | 0.727628i | \(-0.740623\pi\) |
−0.807993 | + | 0.589192i | \(0.799446\pi\) | |||||||
\(998\) | −5.74179 | + | 5.23434i | −0.181753 | + | 0.165690i | ||||
\(999\) | 0 | 0 |
(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 | 927.2.w.a.80.22 | yes | 576 | |
3.2 | odd | 2 | inner | 927.2.w.a.80.15 | ✓ | 576 | |
103.94 | odd | 34 | inner | 927.2.w.a.197.15 | yes | 576 | |
309.197 | even | 34 | inner | 927.2.w.a.197.22 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
927.2.w.a.80.15 | ✓ | 576 | 3.2 | odd | 2 | inner | |
927.2.w.a.80.22 | yes | 576 | 1.1 | even | 1 | trivial | |
927.2.w.a.197.15 | yes | 576 | 103.94 | odd | 34 | inner | |
927.2.w.a.197.22 | yes | 576 | 309.197 | even | 34 | inner |