Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(161,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.k (of order \(10\), degree \(4\), 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | no (minimal twist has level 99) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 404.1 | ||
Character | \(\chi\) | \(=\) | 891.404 |
Dual form | 891.2.k.a.161.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{3}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.17940 | + | 1.58343i | −1.54107 | + | 1.11965i | −0.591412 | + | 0.806370i | \(0.701429\pi\) |
−0.949660 | + | 0.313284i | \(0.898571\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.62452 | − | 4.99975i | 0.812259 | − | 2.49988i | ||||
\(5\) | −0.850459 | + | 1.17056i | −0.380337 | + | 0.523488i | −0.955674 | − | 0.294428i | \(-0.904871\pi\) |
0.575337 | + | 0.817916i | \(0.304871\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.37298 | + | 0.446107i | 0.518936 | + | 0.168613i | 0.556763 | − | 0.830672i | \(-0.312043\pi\) |
−0.0378262 | + | 0.999284i | \(0.512043\pi\) | |||||||
\(8\) | 2.71136 | + | 8.34470i | 0.958610 | + | 2.95030i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | − | 3.89775i | − | 1.23258i | ||||||
\(11\) | 0.371076 | − | 3.29580i | 0.111883 | − | 0.993721i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.74976 | − | 2.40833i | −0.485295 | − | 0.667951i | 0.494217 | − | 0.869339i | \(-0.335455\pi\) |
−0.979512 | + | 0.201388i | \(0.935455\pi\) | |||||||
\(14\) | −3.69865 | + | 1.20176i | −0.988506 | + | 0.321185i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −10.6163 | − | 7.71319i | −2.65408 | − | 1.92830i | ||||
\(17\) | −3.35854 | − | 2.44012i | −0.814566 | − | 0.591817i | 0.100585 | − | 0.994928i | \(-0.467929\pi\) |
−0.915151 | + | 0.403112i | \(0.867929\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.19136 | + | 0.387096i | −0.273317 | + | 0.0888059i | −0.442468 | − | 0.896784i | \(-0.645897\pi\) |
0.169152 | + | 0.985590i | \(0.445897\pi\) | |||||||
\(20\) | 4.47090 | + | 6.15367i | 0.999724 | + | 1.37600i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.40994 | + | 7.77045i | 0.940203 | + | 1.65667i | ||||
\(23\) | 5.80743i | 1.21093i | 0.795871 | + | 0.605467i | \(0.207014\pi\) | ||||
−0.795871 | + | 0.605467i | \(0.792986\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.898164 | + | 2.76426i | 0.179633 | + | 0.552853i | ||||
\(26\) | 7.62685 | + | 2.47811i | 1.49575 | + | 0.485998i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 4.46085 | − | 6.13983i | 0.843021 | − | 1.16032i | ||||
\(29\) | −0.0300853 | + | 0.0925930i | −0.00558670 | + | 0.0171941i | −0.953811 | − | 0.300407i | \(-0.902877\pi\) |
0.948224 | + | 0.317601i | \(0.102877\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.30738 | + | 2.40295i | −0.594023 | + | 0.431583i | −0.843752 | − | 0.536733i | \(-0.819658\pi\) |
0.249730 | + | 0.968316i | \(0.419658\pi\) | |||||||
\(32\) | 17.8022 | 3.14702 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 11.1834 | 1.91793 | ||||||||
\(35\) | −1.68985 | + | 1.22775i | −0.285637 | + | 0.207528i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.08635 | + | 9.49880i | −0.507392 | + | 1.56159i | 0.289319 | + | 0.957233i | \(0.406571\pi\) |
−0.796711 | + | 0.604360i | \(0.793429\pi\) | |||||||
\(38\) | 1.98351 | − | 2.73007i | 0.321768 | − | 0.442876i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −12.0738 | − | 3.92303i | −1.90904 | − | 0.620285i | ||||
\(41\) | −1.41240 | − | 4.34693i | −0.220580 | − | 0.678876i | −0.998710 | − | 0.0507726i | \(-0.983832\pi\) |
0.778130 | − | 0.628103i | \(-0.216168\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.12626i | 0.324252i | 0.986770 | + | 0.162126i | \(0.0518351\pi\) | ||||
−0.986770 | + | 0.162126i | \(0.948165\pi\) | |||||||
\(44\) | −15.8754 | − | 7.20937i | −2.39330 | − | 1.08685i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −9.19566 | − | 12.6567i | −1.35583 | − | 1.86614i | ||||
\(47\) | −6.90361 | + | 2.24312i | −1.00700 | + | 0.327193i | −0.765657 | − | 0.643249i | \(-0.777586\pi\) |
−0.241338 | + | 0.970441i | \(0.577586\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.97707 | − | 2.88951i | −0.568152 | − | 0.412787i | ||||
\(50\) | −6.33448 | − | 4.60227i | −0.895831 | − | 0.650859i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −14.8836 | + | 4.83597i | −2.06398 | + | 0.670628i | ||||
\(53\) | −0.197492 | − | 0.271824i | −0.0271276 | − | 0.0373379i | 0.795238 | − | 0.606298i | \(-0.207346\pi\) |
−0.822365 | + | 0.568960i | \(0.807346\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.54233 | + | 3.23731i | 0.477648 | + | 0.436518i | ||||
\(56\) | 12.6666i | 1.69265i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.0810465 | − | 0.249436i | −0.0106419 | − | 0.0327525i | ||||
\(59\) | −2.87859 | − | 0.935310i | −0.374760 | − | 0.121767i | 0.115580 | − | 0.993298i | \(-0.463127\pi\) |
−0.490340 | + | 0.871531i | \(0.663127\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.187098 | − | 0.257518i | 0.0239554 | − | 0.0329718i | −0.796871 | − | 0.604149i | \(-0.793513\pi\) |
0.820827 | + | 0.571177i | \(0.193513\pi\) | |||||||
\(62\) | 3.40321 | − | 10.4740i | 0.432208 | − | 1.33020i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −17.5657 | + | 12.7622i | −2.19571 | + | 1.59527i | ||||
\(65\) | 4.30718 | 0.534240 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.43656 | 0.419843 | 0.209922 | − | 0.977718i | \(-0.432679\pi\) | ||||
0.209922 | + | 0.977718i | \(0.432679\pi\) | |||||||
\(68\) | −17.6560 | + | 12.8278i | −2.14111 | + | 1.55561i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.73882 | − | 5.35153i | 0.207828 | − | 0.639630i | ||||
\(71\) | −5.38901 | + | 7.41734i | −0.639558 | + | 0.880276i | −0.998592 | − | 0.0530483i | \(-0.983106\pi\) |
0.359034 | + | 0.933325i | \(0.383106\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.75113 | − | 2.19358i | −0.790160 | − | 0.256739i | −0.113988 | − | 0.993482i | \(-0.536363\pi\) |
−0.676172 | + | 0.736743i | \(0.736363\pi\) | |||||||
\(74\) | −8.31428 | − | 25.5887i | −0.966516 | − | 2.97463i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 6.58534i | 0.755391i | ||||||||
\(77\) | 1.97976 | − | 4.35952i | 0.225614 | − | 0.496813i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −5.88983 | − | 8.10666i | −0.662658 | − | 0.912071i | 0.336908 | − | 0.941538i | \(-0.390619\pi\) |
−0.999566 | + | 0.0294671i | \(0.990619\pi\) | |||||||
\(80\) | 18.0574 | − | 5.86722i | 2.01888 | − | 0.655975i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 9.96124 | + | 7.23727i | 1.10004 | + | 0.799222i | ||||
\(83\) | −4.82527 | − | 3.50577i | −0.529643 | − | 0.384808i | 0.290581 | − | 0.956850i | \(-0.406151\pi\) |
−0.820224 | + | 0.572042i | \(0.806151\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.71260 | − | 1.85614i | 0.619619 | − | 0.201326i | ||||
\(86\) | −3.36679 | − | 4.63399i | −0.363050 | − | 0.499696i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 28.5086 | − | 5.83958i | 3.03903 | − | 0.622501i | ||||
\(89\) | − | 5.11584i | − | 0.542278i | −0.962540 | − | 0.271139i | \(-0.912600\pi\) | ||
0.962540 | − | 0.271139i | \(-0.0874004\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.32800 | − | 4.08716i | −0.139212 | − | 0.428451i | ||||
\(92\) | 29.0357 | + | 9.43428i | 3.02718 | + | 0.983592i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 11.4939 | − | 15.8200i | 1.18551 | − | 1.63171i | ||||
\(95\) | 0.560084 | − | 1.72376i | 0.0574634 | − | 0.176854i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.88722 | + | 3.55077i | −0.496222 | + | 0.360526i | −0.807572 | − | 0.589769i | \(-0.799219\pi\) |
0.311350 | + | 0.950295i | \(0.399219\pi\) | |||||||
\(98\) | 13.2430 | 1.33774 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 15.2797 | 1.52797 | ||||||||
\(101\) | −9.41885 | + | 6.84320i | −0.937211 | + | 0.680923i | −0.947748 | − | 0.319021i | \(-0.896646\pi\) |
0.0105370 | + | 0.999944i | \(0.496646\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.03517 | + | 3.18593i | −0.101999 | + | 0.313919i | −0.989014 | − | 0.147820i | \(-0.952774\pi\) |
0.887016 | + | 0.461739i | \(0.152774\pi\) | |||||||
\(104\) | 15.3526 | − | 21.1310i | 1.50545 | − | 2.07207i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.860829 | + | 0.279700i | 0.0836111 | + | 0.0271669i | ||||
\(107\) | −2.92166 | − | 8.99195i | −0.282448 | − | 0.869285i | −0.987152 | − | 0.159784i | \(-0.948920\pi\) |
0.704704 | − | 0.709501i | \(-0.251080\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 4.11325i | − | 0.393978i | −0.980406 | − | 0.196989i | \(-0.936884\pi\) | ||
0.980406 | − | 0.196989i | \(-0.0631163\pi\) | |||||||
\(110\) | −12.8462 | − | 1.44636i | −1.22484 | − | 0.137905i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −11.1350 | − | 15.3260i | −1.05216 | − | 1.44818i | ||||
\(113\) | 19.2327 | − | 6.24909i | 1.80926 | − | 0.587864i | 0.809261 | − | 0.587449i | \(-0.199868\pi\) |
1.00000 | 0.000415145i | \(-0.000132145\pi\) | ||||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.79793 | − | 4.93898i | −0.633910 | − | 0.460562i | ||||
\(116\) | 0.414068 | + | 0.300838i | 0.0384452 | + | 0.0279321i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.75460 | − | 2.51962i | 0.713869 | − | 0.231950i | ||||
\(119\) | −3.52264 | − | 4.84850i | −0.322920 | − | 0.444461i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.7246 | − | 2.44598i | −0.974964 | − | 0.222362i | ||||
\(122\) | 0.857491i | 0.0776336i | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.64126 | + | 20.4397i | 0.596403 | + | 1.83554i | ||||
\(125\) | −10.8799 | − | 3.53510i | −0.973131 | − | 0.316189i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.0604870 | + | 0.0832533i | −0.00536736 | + | 0.00738753i | −0.811692 | − | 0.584085i | \(-0.801453\pi\) |
0.806325 | + | 0.591473i | \(0.201453\pi\) | |||||||
\(128\) | 7.07223 | − | 21.7661i | 0.625103 | − | 1.92387i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −9.38709 | + | 6.82012i | −0.823302 | + | 0.598164i | ||||
\(131\) | −15.3653 | −1.34248 | −0.671238 | − | 0.741242i | \(-0.734237\pi\) | ||||
−0.671238 | + | 0.741242i | \(0.734237\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.80839 | −0.156808 | ||||||||
\(134\) | −7.48966 | + | 5.44156i | −0.647008 | + | 0.470079i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 11.2559 | − | 34.6421i | 0.965185 | − | 2.97053i | ||||
\(137\) | −2.18861 | + | 3.01236i | −0.186986 | + | 0.257364i | −0.892210 | − | 0.451620i | \(-0.850846\pi\) |
0.705225 | + | 0.708984i | \(0.250846\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.1833 | + | 5.25827i | 1.37265 | + | 0.446001i | 0.900246 | − | 0.435381i | \(-0.143386\pi\) |
0.472404 | + | 0.881382i | \(0.343386\pi\) | |||||||
\(140\) | 3.39325 | + | 10.4433i | 0.286782 | + | 0.882624i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 24.6985i | − | 2.07265i | ||||||
\(143\) | −8.58668 | + | 4.87317i | −0.718054 | + | 0.407515i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.0827990 | − | 0.113963i | −0.00687608 | − | 0.00946412i | ||||
\(146\) | 18.1868 | − | 5.90925i | 1.50515 | − | 0.489053i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 42.4778 | + | 30.8619i | 3.49166 | + | 2.53684i | ||||
\(149\) | −9.26481 | − | 6.73128i | −0.759003 | − | 0.551448i | 0.139601 | − | 0.990208i | \(-0.455418\pi\) |
−0.898604 | + | 0.438760i | \(0.855418\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.01097 | − | 0.328485i | 0.0822718 | − | 0.0267317i | −0.267592 | − | 0.963532i | \(-0.586228\pi\) |
0.349864 | + | 0.936801i | \(0.386228\pi\) | |||||||
\(152\) | −6.46040 | − | 8.89198i | −0.524008 | − | 0.721235i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.58830 | + | 12.6360i | 0.208571 | + | 1.01823i | ||||
\(155\) | − | 5.91508i | − | 0.475111i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.0263869 | − | 0.0812104i | −0.00210590 | − | 0.00648129i | 0.949998 | − | 0.312256i | \(-0.101085\pi\) |
−0.952104 | + | 0.305775i | \(0.901085\pi\) | |||||||
\(158\) | 25.6727 | + | 8.34155i | 2.04241 | + | 0.663618i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −15.1401 | + | 20.8385i | −1.19693 | + | 1.64743i | ||||
\(161\) | −2.59074 | + | 7.97347i | −0.204179 | + | 0.628398i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −2.37021 | + | 1.72206i | −0.185650 | + | 0.134882i | −0.676728 | − | 0.736233i | \(-0.736603\pi\) |
0.491079 | + | 0.871115i | \(0.336603\pi\) | |||||||
\(164\) | −24.0280 | −1.87627 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 16.0674 | 1.24707 | ||||||||
\(167\) | −3.60309 | + | 2.61780i | −0.278816 | + | 0.202571i | −0.718401 | − | 0.695630i | \(-0.755125\pi\) |
0.439585 | + | 0.898201i | \(0.355125\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.27880 | − | 3.93575i | 0.0983694 | − | 0.302750i | ||||
\(170\) | −9.51100 | + | 13.0908i | −0.729461 | + | 1.00402i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 10.6308 | + | 3.45415i | 0.810590 | + | 0.263377i | ||||
\(173\) | 3.22935 | + | 9.93891i | 0.245523 | + | 0.755641i | 0.995550 | + | 0.0942343i | \(0.0300403\pi\) |
−0.750027 | + | 0.661407i | \(0.769960\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 4.19595i | 0.317184i | ||||||||
\(176\) | −29.3606 | + | 32.1270i | −2.21314 | + | 2.42167i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 8.10058 | + | 11.1495i | 0.607164 | + | 0.835690i | ||||
\(179\) | 9.58188 | − | 3.11334i | 0.716183 | − | 0.232702i | 0.0718157 | − | 0.997418i | \(-0.477121\pi\) |
0.644368 | + | 0.764716i | \(0.277121\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.5433 | + | 9.11327i | 0.932339 | + | 0.677384i | 0.946564 | − | 0.322515i | \(-0.104528\pi\) |
−0.0142256 | + | 0.999899i | \(0.504528\pi\) | |||||||
\(182\) | 9.36598 | + | 6.80478i | 0.694253 | + | 0.504404i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −48.4613 | + | 15.7460i | −3.57261 | + | 1.16081i | ||||
\(185\) | −8.49407 | − | 11.6911i | −0.624496 | − | 0.859545i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.28843 | + | 10.1636i | −0.679237 | + | 0.743237i | ||||
\(188\) | 38.1603i | 2.78313i | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.50881 | + | 4.64363i | 0.109460 | + | 0.336884i | ||||
\(191\) | −3.53297 | − | 1.14793i | −0.255637 | − | 0.0830615i | 0.178395 | − | 0.983959i | \(-0.442910\pi\) |
−0.434032 | + | 0.900897i | \(0.642910\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.6578 | + | 20.1747i | −1.05509 | + | 1.45221i | −0.170779 | + | 0.985309i | \(0.554628\pi\) |
−0.884311 | + | 0.466898i | \(0.845372\pi\) | |||||||
\(194\) | 5.02883 | − | 15.4771i | 0.361049 | − | 1.11119i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −20.9076 | + | 15.1903i | −1.49340 | + | 1.08502i | ||||
\(197\) | 19.2214 | 1.36947 | 0.684733 | − | 0.728794i | \(-0.259919\pi\) | ||||
0.684733 | + | 0.728794i | \(0.259919\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −26.0126 | −1.84399 | −0.921993 | − | 0.387206i | \(-0.873440\pi\) | ||||
−0.921993 | + | 0.387206i | \(0.873440\pi\) | |||||||
\(200\) | −20.6317 | + | 14.9898i | −1.45888 | + | 1.05994i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.69176 | − | 29.8282i | 0.681910 | − | 2.09870i | ||||
\(203\) | −0.0826128 | + | 0.113707i | −0.00579828 | + | 0.00798065i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.28951 | + | 2.04358i | 0.439278 | + | 0.142730i | ||||
\(206\) | −2.78864 | − | 8.58255i | −0.194294 | − | 0.597975i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 39.0638i | 2.70859i | ||||||||
\(209\) | 0.833707 | + | 4.07012i | 0.0576687 | + | 0.281536i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.3646 | − | 18.3948i | −0.920057 | − | 1.26635i | −0.963614 | − | 0.267299i | \(-0.913869\pi\) |
0.0435567 | − | 0.999051i | \(-0.486131\pi\) | |||||||
\(212\) | −1.67988 | + | 0.545827i | −0.115375 | + | 0.0374875i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 20.6056 | + | 14.9708i | 1.40857 | + | 1.02339i | ||||
\(215\) | −2.48891 | − | 1.80830i | −0.169742 | − | 0.123325i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.61293 | + | 1.82375i | −0.381030 | + | 0.123804i | ||||
\(218\) | 6.51304 | + | 8.96443i | 0.441119 | + | 0.607148i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 21.9403 | − | 12.4517i | 1.47922 | − | 0.839495i | ||||
\(221\) | 12.3581i | 0.831296i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.02963 | − | 21.6350i | −0.470739 | − | 1.44878i | −0.851619 | − | 0.524161i | \(-0.824379\pi\) |
0.380881 | − | 0.924624i | \(-0.375621\pi\) | |||||||
\(224\) | 24.4421 | + | 7.94170i | 1.63310 | + | 0.530627i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −32.0208 | + | 44.0729i | −2.13000 | + | 2.93169i | ||||
\(227\) | 2.51159 | − | 7.72987i | 0.166700 | − | 0.513050i | −0.832458 | − | 0.554089i | \(-0.813067\pi\) |
0.999158 | + | 0.0410390i | \(0.0130668\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.9974 | + | 7.99008i | −0.726728 | + | 0.527999i | −0.888527 | − | 0.458825i | \(-0.848271\pi\) |
0.161798 | + | 0.986824i | \(0.448271\pi\) | |||||||
\(230\) | 22.6360 | 1.49257 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −0.854233 | −0.0560831 | ||||||||
\(233\) | 4.09157 | − | 2.97270i | 0.268048 | − | 0.194748i | −0.445640 | − | 0.895212i | \(-0.647024\pi\) |
0.713687 | + | 0.700464i | \(0.247024\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.24554 | − | 9.98874i | 0.211716 | − | 0.651594i | ||||
\(236\) | −9.35264 | + | 12.8728i | −0.608805 | + | 0.837948i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 15.3545 | + | 4.98899i | 0.995286 | + | 0.323388i | ||||
\(239\) | 6.23162 | + | 19.1790i | 0.403090 | + | 1.24058i | 0.922480 | + | 0.386046i | \(0.126159\pi\) |
−0.519390 | + | 0.854538i | \(0.673841\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 28.3011i | 1.82303i | 0.411264 | + | 0.911516i | \(0.365087\pi\) | ||||
−0.411264 | + | 0.911516i | \(0.634913\pi\) | |||||||
\(242\) | 27.2463 | − | 11.6509i | 1.75146 | − | 0.748947i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.983581 | − | 1.35378i | −0.0629674 | − | 0.0866671i | ||||
\(245\) | 6.76466 | − | 2.19797i | 0.432178 | − | 0.140423i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.01684 | + | 2.19187i | 0.191957 | + | 0.139465i | ||||
\(248\) | −29.0194 | − | 21.0838i | −1.84273 | − | 1.33882i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 29.3093 | − | 9.52318i | 1.85369 | − | 0.602299i | ||||
\(251\) | 13.7475 | + | 18.9219i | 0.867737 | + | 1.19434i | 0.979669 | + | 0.200622i | \(0.0642964\pi\) |
−0.111931 | + | 0.993716i | \(0.535704\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 19.1401 | + | 2.15500i | 1.20333 | + | 0.135483i | ||||
\(254\) | − | 0.277219i | − | 0.0173943i | ||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.63285 | + | 17.3361i | 0.352053 | + | 1.08351i | ||||
\(257\) | −0.396081 | − | 0.128695i | −0.0247069 | − | 0.00802775i | 0.296637 | − | 0.954990i | \(-0.404135\pi\) |
−0.321344 | + | 0.946962i | \(0.604135\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −8.47497 | + | 11.6648i | −0.526609 | + | 0.724815i | ||||
\(260\) | 6.99709 | − | 21.5348i | 0.433941 | − | 1.33553i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 33.4873 | − | 24.3299i | 2.06885 | − | 1.50311i | ||||
\(263\) | 28.1176 | 1.73380 | 0.866902 | − | 0.498478i | \(-0.166108\pi\) | ||||
0.866902 | + | 0.498478i | \(0.166108\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.486144 | 0.0298636 | ||||||||
\(266\) | 3.94122 | − | 2.86347i | 0.241652 | − | 0.175570i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.58276 | − | 17.1820i | 0.341021 | − | 1.04956i | ||||
\(269\) | 7.97137 | − | 10.9716i | 0.486023 | − | 0.668953i | −0.493625 | − | 0.869675i | \(-0.664329\pi\) |
0.979648 | + | 0.200721i | \(0.0643286\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.5963 | − | 3.44294i | −0.643678 | − | 0.209144i | −0.0310533 | − | 0.999518i | \(-0.509886\pi\) |
−0.612624 | + | 0.790374i | \(0.709886\pi\) | |||||||
\(272\) | 16.8341 | + | 51.8102i | 1.02072 | + | 3.14145i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | − | 10.0307i | − | 0.605975i | ||||||
\(275\) | 9.44375 | − | 1.93442i | 0.569480 | − | 0.116650i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −5.75105 | − | 7.91564i | −0.345547 | − | 0.475605i | 0.600504 | − | 0.799622i | \(-0.294967\pi\) |
−0.946051 | + | 0.324017i | \(0.894967\pi\) | |||||||
\(278\) | −43.5961 | + | 14.1652i | −2.61472 | + | 0.849573i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −14.8270 | − | 10.7724i | −0.886083 | − | 0.643777i | ||||
\(281\) | −9.85777 | − | 7.16209i | −0.588065 | − | 0.427254i | 0.253558 | − | 0.967320i | \(-0.418399\pi\) |
−0.841623 | + | 0.540066i | \(0.818399\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.6399 | − | 4.75680i | 0.870253 | − | 0.282762i | 0.160348 | − | 0.987060i | \(-0.448738\pi\) |
0.709904 | + | 0.704298i | \(0.248738\pi\) | |||||||
\(284\) | 28.3303 | + | 38.9933i | 1.68109 | + | 2.31383i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 10.9975 | − | 24.2170i | 0.650296 | − | 1.43198i | ||||
\(287\) | − | 6.59831i | − | 0.389486i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 0.0723102 | + | 0.222548i | 0.00425354 | + | 0.0130911i | ||||
\(290\) | 0.360905 | + | 0.117265i | 0.0211931 | + | 0.00688604i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −21.9347 | + | 30.1905i | −1.28363 | + | 1.76676i | ||||
\(293\) | −8.41119 | + | 25.8870i | −0.491387 | + | 1.51233i | 0.331125 | + | 0.943587i | \(0.392572\pi\) |
−0.822512 | + | 0.568747i | \(0.807428\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.54295 | − | 2.57411i | 0.206279 | − | 0.149870i | ||||
\(296\) | −87.6328 | −5.09356 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 30.8503 | 1.78711 | ||||||||
\(299\) | 13.9862 | − | 10.1616i | 0.808845 | − | 0.587660i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.948542 | + | 2.91931i | −0.0546730 | + | 0.168266i | ||||
\(302\) | −1.68319 | + | 2.31671i | −0.0968564 | + | 0.133311i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 15.6336 | + | 5.07966i | 0.896647 | + | 0.291338i | ||||
\(305\) | 0.142320 | + | 0.438016i | 0.00814923 | + | 0.0250807i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 31.0795i | − | 1.77380i | −0.461960 | − | 0.886901i | \(-0.652854\pi\) | ||
0.461960 | − | 0.886901i | \(-0.347146\pi\) | |||||||
\(308\) | −18.5804 | − | 16.9804i | −1.05871 | − | 0.967549i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 9.36611 | + | 12.8914i | 0.531960 | + | 0.732179i | ||||
\(311\) | −5.43478 | + | 1.76587i | −0.308178 | + | 0.100133i | −0.459023 | − | 0.888424i | \(-0.651800\pi\) |
0.150845 | + | 0.988557i | \(0.451800\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.3843 | + | 15.5366i | 1.20871 | + | 0.878180i | 0.995113 | − | 0.0987412i | \(-0.0314816\pi\) |
0.213598 | + | 0.976922i | \(0.431482\pi\) | |||||||
\(314\) | 0.186099 | + | 0.135209i | 0.0105021 | + | 0.00763026i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −50.0994 | + | 16.2783i | −2.81831 | + | 0.915725i | ||||
\(317\) | 1.16373 | + | 1.60174i | 0.0653617 | + | 0.0899627i | 0.840446 | − | 0.541895i | \(-0.182293\pi\) |
−0.775085 | + | 0.631857i | \(0.782293\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.294004 | + | 0.133514i | 0.0164611 | + | 0.00747536i | ||||
\(320\) | − | 31.4153i | − | 1.75617i | ||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.97917 | − | 21.4797i | −0.388934 | − | 1.19701i | ||||
\(323\) | 4.94579 | + | 1.60698i | 0.275191 | + | 0.0894150i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 5.08570 | − | 6.99986i | 0.282104 | − | 0.388283i | ||||
\(326\) | 2.43889 | − | 7.50614i | 0.135078 | − | 0.415726i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 32.4443 | − | 23.5721i | 1.79143 | − | 1.30155i | ||||
\(329\) | −10.4792 | −0.577735 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.07717 | −0.224101 | −0.112051 | − | 0.993702i | \(-0.535742\pi\) | ||||
−0.112051 | + | 0.993702i | \(0.535742\pi\) | |||||||
\(332\) | −25.3667 | + | 18.4300i | −1.39218 | + | 1.01148i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 3.70749 | − | 11.4105i | 0.202865 | − | 0.624354i | ||||
\(335\) | −2.92266 | + | 4.02269i | −0.159682 | + | 0.219783i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −27.1314 | − | 8.81552i | −1.47794 | − | 0.480212i | −0.544444 | − | 0.838797i | \(-0.683259\pi\) |
−0.933497 | + | 0.358585i | \(0.883259\pi\) | |||||||
\(338\) | 3.44495 | + | 10.6025i | 0.187381 | + | 0.576699i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | − | 31.5769i | − | 1.71250i | ||||||
\(341\) | 6.69236 | + | 11.7921i | 0.362412 | + | 0.638580i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.1112 | − | 13.9169i | −0.545954 | − | 0.751441i | ||||
\(344\) | −17.7430 | + | 5.76506i | −0.956640 | + | 0.310831i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −22.7756 | − | 16.5474i | −1.22442 | − | 0.889596i | ||||
\(347\) | 8.36428 | + | 6.07700i | 0.449018 | + | 0.326231i | 0.789208 | − | 0.614126i | \(-0.210491\pi\) |
−0.340190 | + | 0.940357i | \(0.610491\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.5504 | − | 5.70248i | 0.939453 | − | 0.305247i | 0.201030 | − | 0.979585i | \(-0.435571\pi\) |
0.738423 | + | 0.674338i | \(0.235571\pi\) | |||||||
\(350\) | −6.64399 | − | 9.14466i | −0.355136 | − | 0.488803i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.60597 | − | 58.6726i | 0.352100 | − | 3.12726i | ||||
\(353\) | 13.3918i | 0.712772i | 0.934339 | + | 0.356386i | \(0.115991\pi\) | ||||
−0.934339 | + | 0.356386i | \(0.884009\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.09928 | − | 12.6163i | −0.217567 | − | 0.669603i | ||||
\(356\) | −25.5780 | − | 8.31078i | −1.35563 | − | 0.440470i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −15.9530 | + | 21.9575i | −0.843144 | + | 1.16049i | ||||
\(359\) | 1.92854 | − | 5.93545i | 0.101785 | − | 0.313261i | −0.887178 | − | 0.461428i | \(-0.847337\pi\) |
0.988962 | + | 0.148167i | \(0.0473373\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −14.1018 | + | 10.2456i | −0.742202 | + | 0.539241i | ||||
\(362\) | −41.7672 | −2.19524 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −22.5922 | −1.18415 | ||||||||
\(365\) | 8.30926 | − | 6.03703i | 0.434927 | − | 0.315993i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.37952 | + | 7.32341i | −0.124210 | + | 0.382279i | −0.993756 | − | 0.111572i | \(-0.964411\pi\) |
0.869546 | + | 0.493851i | \(0.164411\pi\) | |||||||
\(368\) | 44.7939 | − | 61.6535i | 2.33504 | − | 3.21391i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 37.0240 | + | 12.0298i | 1.92479 | + | 0.625401i | ||||
\(371\) | −0.149889 | − | 0.461311i | −0.00778185 | − | 0.0239501i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.0593i | 1.09041i | 0.838304 | + | 0.545204i | \(0.183548\pi\) | ||||
−0.838304 | + | 0.545204i | \(0.816452\pi\) | |||||||
\(374\) | 4.14988 | − | 36.8582i | 0.214585 | − | 1.90589i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −37.4363 | − | 51.5267i | −1.93063 | − | 2.65729i | ||||
\(377\) | 0.275637 | − | 0.0895598i | 0.0141960 | − | 0.00461256i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.0003 | + | 17.4372i | 1.23281 | + | 0.895691i | 0.997098 | − | 0.0761314i | \(-0.0242568\pi\) |
0.235715 | + | 0.971822i | \(0.424257\pi\) | |||||||
\(380\) | −7.70851 | − | 5.60056i | −0.395438 | − | 0.287303i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 9.51744 | − | 3.09241i | 0.486955 | − | 0.158221i | ||||
\(383\) | 1.56826 | + | 2.15852i | 0.0801343 | + | 0.110295i | 0.847202 | − | 0.531270i | \(-0.178285\pi\) |
−0.767068 | + | 0.641566i | \(0.778285\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.41936 | + | 6.02501i | 0.174267 | + | 0.307063i | ||||
\(386\) | − | 67.1784i | − | 3.41929i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 9.81361 | + | 30.2032i | 0.498210 | + | 1.53333i | ||||
\(389\) | 0.606242 | + | 0.196980i | 0.0307377 | + | 0.00998729i | 0.324346 | − | 0.945939i | \(-0.394856\pi\) |
−0.293608 | + | 0.955926i | \(0.594856\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.1709 | − | 19.5045i | 0.716651 | − | 0.986385i | ||||
\(392\) | 13.3288 | − | 41.0219i | 0.673207 | − | 2.07192i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −41.8911 | + | 30.4357i | −2.11044 | + | 1.53333i | ||||
\(395\) | 14.4984 | 0.729492 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −25.2145 | −1.26548 | −0.632741 | − | 0.774364i | \(-0.718070\pi\) | ||||
−0.632741 | + | 0.774364i | \(0.718070\pi\) | |||||||
\(398\) | 56.6920 | − | 41.1892i | 2.84171 | − | 2.06463i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 11.7861 | − | 36.2740i | 0.589306 | − | 1.81370i | ||||
\(401\) | 17.1458 | − | 23.5992i | 0.856221 | − | 1.17849i | −0.126236 | − | 0.992000i | \(-0.540290\pi\) |
0.982457 | − | 0.186487i | \(-0.0597102\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 11.5742 | + | 3.76069i | 0.576552 | + | 0.187333i | ||||
\(404\) | 18.9132 | + | 58.2088i | 0.940966 | + | 2.89600i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | − | 0.378625i | − | 0.0187908i | ||||||
\(407\) | 30.1609 | + | 13.6968i | 1.49502 | + | 0.678923i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.76208 | + | 13.4363i | 0.482704 | + | 0.664384i | 0.979022 | − | 0.203756i | \(-0.0653150\pi\) |
−0.496318 | + | 0.868141i | \(0.665315\pi\) | |||||||
\(410\) | −16.9432 | + | 5.50520i | −0.836767 | + | 0.271882i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 14.2472 | + | 10.3512i | 0.701910 | + | 0.509967i | ||||
\(413\) | −3.53499 | − | 2.56832i | −0.173945 | − | 0.126379i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 8.20739 | − | 2.66674i | 0.402885 | − | 0.130905i | ||||
\(416\) | −31.1496 | − | 42.8737i | −1.52723 | − | 2.10206i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −8.26174 | − | 7.55033i | −0.404095 | − | 0.369299i | ||||
\(419\) | − | 9.37377i | − | 0.457939i | −0.973434 | − | 0.228969i | \(-0.926464\pi\) | ||
0.973434 | − | 0.228969i | \(-0.0735356\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.02317 | − | 3.14901i | −0.0498664 | − | 0.153473i | 0.923022 | − | 0.384746i | \(-0.125711\pi\) |
−0.972889 | + | 0.231273i | \(0.925711\pi\) | |||||||
\(422\) | 58.2537 | + | 18.9278i | 2.83575 | + | 0.921390i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 1.73282 | − | 2.38502i | 0.0841532 | − | 0.115827i | ||||
\(425\) | 3.72862 | − | 11.4755i | 0.180865 | − | 0.556645i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0.371761 | − | 0.270100i | 0.0179908 | − | 0.0130711i | ||||
\(428\) | −49.7038 | −2.40252 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8.28766 | 0.399666 | ||||||||
\(431\) | −1.72195 | + | 1.25107i | −0.0829434 | + | 0.0602619i | −0.628484 | − | 0.777822i | \(-0.716324\pi\) |
0.545541 | + | 0.838084i | \(0.316324\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.76068 | + | 14.6519i | −0.228784 | + | 0.704124i | 0.769102 | + | 0.639126i | \(0.220704\pi\) |
−0.997885 | + | 0.0649975i | \(0.979296\pi\) | |||||||
\(434\) | 9.34505 | − | 12.8624i | 0.448577 | − | 0.617413i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −20.5652 | − | 6.68205i | −0.984896 | − | 0.320012i | ||||
\(437\) | −2.24803 | − | 6.91874i | −0.107538 | − | 0.330968i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | − | 35.8053i | − | 1.70889i | −0.519539 | − | 0.854447i | \(-0.673896\pi\) | ||
0.519539 | − | 0.854447i | \(-0.326104\pi\) | |||||||
\(440\) | −17.4098 | + | 38.3372i | −0.829981 | + | 1.82765i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −19.5682 | − | 26.9333i | −0.930764 | − | 1.28109i | ||||
\(443\) | −11.4104 | + | 3.70747i | −0.542125 | + | 0.176147i | −0.567263 | − | 0.823537i | \(-0.691998\pi\) |
0.0251376 | + | 0.999684i | \(0.491998\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.98838 | + | 4.35081i | 0.283877 | + | 0.206248i | ||||
\(446\) | 49.5779 | + | 36.0204i | 2.34758 | + | 1.70562i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −29.8105 | + | 9.68603i | −1.40842 | + | 0.457622i | ||||
\(449\) | 15.0088 | + | 20.6578i | 0.708307 | + | 0.974901i | 0.999832 | + | 0.0183378i | \(0.00583742\pi\) |
−0.291525 | + | 0.956563i | \(0.594163\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −14.8507 | + | 3.04196i | −0.699292 | + | 0.143240i | ||||
\(452\) | − | 106.310i | − | 5.00043i | ||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 6.76595 | + | 20.8234i | 0.317542 | + | 0.977292i | ||||
\(455\) | 5.91366 | + | 1.92146i | 0.277237 | + | 0.0900797i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.599502 | − | 0.825144i | 0.0280435 | − | 0.0385986i | −0.794765 | − | 0.606917i | \(-0.792406\pi\) |
0.822809 | + | 0.568319i | \(0.192406\pi\) | |||||||
\(458\) | 11.3160 | − | 34.8272i | 0.528764 | − | 1.62737i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −35.7370 | + | 25.9645i | −1.66625 | + | 1.21060i | ||||
\(461\) | −4.52405 | −0.210706 | −0.105353 | − | 0.994435i | \(-0.533597\pi\) | ||||
−0.105353 | + | 0.994435i | \(0.533597\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −8.45187 | −0.392792 | −0.196396 | − | 0.980525i | \(-0.562924\pi\) | ||||
−0.196396 | + | 0.980525i | \(0.562924\pi\) | |||||||
\(464\) | 1.03358 | − | 0.750942i | 0.0479829 | − | 0.0348616i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.21012 | + | 12.9574i | −0.195030 | + | 0.600241i | ||||
\(467\) | 3.64591 | − | 5.01817i | 0.168713 | − | 0.232213i | −0.716286 | − | 0.697807i | \(-0.754159\pi\) |
0.884998 | + | 0.465594i | \(0.154159\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.71832 | + | 1.53308i | 0.217872 | + | 0.0707909i | ||||
\(470\) | 8.74313 | + | 26.9086i | 0.403290 | + | 1.24120i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | − | 26.5569i | − | 1.22238i | ||||||
\(473\) | 7.00774 | + | 0.789005i | 0.322216 | + | 0.0362785i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −2.14007 | − | 2.94556i | −0.0981932 | − | 0.135151i | ||||
\(476\) | −29.9639 | + | 9.73586i | −1.37339 | + | 0.446242i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −43.9497 | − | 31.9314i | −2.01021 | − | 1.46051i | ||||
\(479\) | 18.0462 | + | 13.1113i | 0.824550 | + | 0.599071i | 0.918012 | − | 0.396552i | \(-0.129793\pi\) |
−0.0934623 | + | 0.995623i | \(0.529793\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 28.2766 | − | 9.18763i | 1.28930 | − | 0.418920i | ||||
\(482\) | −44.8128 | − | 61.6795i | −2.04117 | − | 2.80942i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −29.6516 | + | 49.6468i | −1.34780 | + | 2.25667i | ||||
\(485\) | − | 8.74055i | − | 0.396888i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.5290 | + | 32.4051i | 0.477117 | + | 1.46841i | 0.843082 | + | 0.537786i | \(0.180739\pi\) |
−0.365965 | + | 0.930629i | \(0.619261\pi\) | |||||||
\(488\) | 2.65620 | + | 0.863051i | 0.120240 | + | 0.0390685i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −11.2626 | + | 15.5016i | −0.508792 | + | 0.700292i | ||||
\(491\) | −5.81717 | + | 17.9034i | −0.262525 | + | 0.807970i | 0.729728 | + | 0.683738i | \(0.239647\pi\) |
−0.992253 | + | 0.124232i | \(0.960353\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.326981 | − | 0.237566i | 0.0147265 | − | 0.0106994i | ||||
\(494\) | −10.0456 | −0.451972 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 53.6466 | 2.40880 | ||||||||
\(497\) | −10.7079 | + | 7.77976i | −0.480316 | + | 0.348970i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 2.34788 | − | 7.22603i | 0.105106 | − | 0.323482i | −0.884650 | − | 0.466256i | \(-0.845602\pi\) |
0.989755 | + | 0.142775i | \(0.0456024\pi\) | |||||||
\(500\) | −35.3493 | + | 48.6541i | −1.58087 | + | 2.17588i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −59.9229 | − | 19.4701i | −2.67449 | − | 0.868995i | ||||
\(503\) | −8.18033 | − | 25.1765i | −0.364743 | − | 1.12256i | −0.950142 | − | 0.311818i | \(-0.899062\pi\) |
0.585399 | − | 0.810745i | \(-0.300938\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | − | 16.8451i | − | 0.749599i | ||||||
\(506\) | −45.1264 | + | 25.6105i | −2.00611 | + | 1.13852i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.317983 | + | 0.437666i | 0.0141082 | + | 0.0194183i | ||||
\(509\) | 12.1254 | − | 3.93980i | 0.537451 | − | 0.174628i | −0.0276995 | − | 0.999616i | \(-0.508818\pi\) |
0.565150 | + | 0.824988i | \(0.308818\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −8.29058 | − | 6.02346i | −0.366754 | − | 0.266462i | ||||
\(512\) | −2.69612 | − | 1.95884i | −0.119153 | − | 0.0865695i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.06700 | − | 0.346689i | 0.0470633 | − | 0.0152918i | ||||
\(515\) | −2.84894 | − | 3.92123i | −0.125539 | − | 0.172790i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 4.83111 | + | 23.5853i | 0.212472 | + | 1.03728i | ||||
\(518\) | − | 38.8418i | − | 1.70661i | ||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 11.6783 | + | 35.9421i | 0.512128 | + | 1.57617i | ||||
\(521\) | −6.80629 | − | 2.21150i | −0.298189 | − | 0.0968875i | 0.156102 | − | 0.987741i | \(-0.450107\pi\) |
−0.454291 | + | 0.890854i | \(0.650107\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 18.1933 | − | 25.0410i | 0.795539 | − | 1.09497i | −0.197857 | − | 0.980231i | \(-0.563398\pi\) |
0.993396 | − | 0.114734i | \(-0.0366017\pi\) | |||||||
\(524\) | −24.9613 | + | 76.8229i | −1.09044 | + | 3.35602i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −61.2796 | + | 44.5222i | −2.67192 | + | 1.94126i | ||||
\(527\) | 16.9715 | 0.739289 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −10.7263 | −0.466360 | ||||||||
\(530\) | −1.05950 | + | 0.769775i | −0.0460219 | + | 0.0334369i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.93777 | + | 9.04152i | −0.127368 | + | 0.392000i | ||||
\(533\) | −7.99748 | + | 11.0076i | −0.346409 | + | 0.476792i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.0103 | + | 4.22731i | 0.562486 | + | 0.182763i | ||||
\(536\) | 9.31775 | + | 28.6771i | 0.402466 | + | 1.23866i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 36.5338i | 1.57508i | ||||||||
\(539\) | −10.9990 | + | 12.0354i | −0.473762 | + | 0.518401i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 25.5272 | + | 35.1352i | 1.09750 | + | 1.51058i | 0.838656 | + | 0.544661i | \(0.183342\pi\) |
0.258845 | + | 0.965919i | \(0.416658\pi\) | |||||||
\(542\) | 28.5452 | − | 9.27490i | 1.22612 | − | 0.398391i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −59.7895 | − | 43.4396i | −2.56346 | − | 1.86246i | ||||
\(545\) | 4.81479 | + | 3.49815i | 0.206243 | + | 0.149844i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 7.10797 | − | 2.30952i | 0.303915 | − | 0.0987480i | −0.153090 | − | 0.988212i | \(-0.548922\pi\) |
0.457005 | + | 0.889464i | \(0.348922\pi\) | |||||||
\(548\) | 11.5056 | + | 15.8361i | 0.491496 | + | 0.676487i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −17.5187 | + | 19.1694i | −0.747001 | + | 0.817386i | ||||
\(551\) | − | 0.121957i | − | 0.00519556i | ||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −4.47017 | − | 13.7578i | −0.190091 | − | 0.585039i | ||||
\(554\) | 25.0677 | + | 8.14499i | 1.06503 | + | 0.346048i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 52.5801 | − | 72.3703i | 2.22989 | − | 3.06919i | ||||
\(557\) | −8.26967 | + | 25.4514i | −0.350397 | + | 1.07841i | 0.608233 | + | 0.793758i | \(0.291879\pi\) |
−0.958631 | + | 0.284653i | \(0.908121\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 5.12075 | − | 3.72044i | 0.216585 | − | 0.157358i | ||||
\(560\) | 27.4099 | 1.15828 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 32.8247 | 1.38463 | ||||||||
\(563\) | 18.8904 | − | 13.7247i | 0.796136 | − | 0.578427i | −0.113642 | − | 0.993522i | \(-0.536252\pi\) |
0.909778 | + | 0.415095i | \(0.136252\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9.04172 | + | 27.8275i | −0.380388 | + | 1.17071i | ||||
\(566\) | −24.3742 | + | 33.5483i | −1.02453 | + | 1.41014i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −76.5070 | − | 24.8586i | −3.21016 | − | 1.04305i | ||||
\(569\) | −1.67819 | − | 5.16494i | −0.0703534 | − | 0.216526i | 0.909698 | − | 0.415271i | \(-0.136313\pi\) |
−0.980051 | + | 0.198746i | \(0.936313\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 10.1542i | 0.424940i | 0.977168 | + | 0.212470i | \(0.0681508\pi\) | ||||
−0.977168 | + | 0.212470i | \(0.931849\pi\) | |||||||
\(572\) | 10.4154 | + | 50.8478i | 0.435492 | + | 2.12605i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 10.4480 | + | 14.3804i | 0.436089 | + | 0.600225i | ||||
\(575\) | −16.0533 | + | 5.21603i | −0.669468 | + | 0.217523i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.0075 | + | 12.3566i | 0.708029 | + | 0.514414i | 0.882537 | − | 0.470242i | \(-0.155833\pi\) |
−0.174508 | + | 0.984656i | \(0.555833\pi\) | |||||||
\(578\) | −0.509982 | − | 0.370524i | −0.0212125 | − | 0.0154118i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.704295 | + | 0.228839i | −0.0292443 | + | 0.00950204i | ||||
\(581\) | −5.06104 | − | 6.96593i | −0.209967 | − | 0.288995i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.969163 | + | 0.550026i | −0.0401386 | + | 0.0227798i | ||||
\(584\) | − | 62.2837i | − | 2.57732i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −22.6588 | − | 69.7367i | −0.936028 | − | 2.88080i | ||||
\(587\) | −41.4845 | − | 13.4791i | −1.71225 | − | 0.556343i | −0.721543 | − | 0.692370i | \(-0.756567\pi\) |
−0.990705 | + | 0.136027i | \(0.956567\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.01010 | − | 4.14305i | 0.124029 | − | 0.170711i | ||||
\(590\) | −3.64561 | + | 11.2200i | −0.150087 | + | 0.461921i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 106.032 | − | 77.0365i | 4.35788 | − | 3.16618i | ||||
\(593\) | −37.0300 | −1.52064 | −0.760319 | − | 0.649549i | \(-0.774958\pi\) | ||||
−0.760319 | + | 0.649549i | \(0.774958\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.67130 | 0.355489 | ||||||||
\(596\) | −48.7056 | + | 35.3867i | −1.99506 | + | 1.44949i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −14.3915 | + | 44.2924i | −0.588511 | + | 1.81125i | ||||
\(599\) | 14.1622 | − | 19.4926i | 0.578652 | − | 0.796446i | −0.414895 | − | 0.909869i | \(-0.636182\pi\) |
0.993547 | + | 0.113423i | \(0.0361817\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.7661 | − | 5.77256i | −0.724694 | − | 0.235467i | −0.0766371 | − | 0.997059i | \(-0.524418\pi\) |
−0.648057 | + | 0.761592i | \(0.724418\pi\) | |||||||
\(602\) | −2.55527 | − | 7.86431i | −0.104145 | − | 0.320525i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | − | 5.58824i | − | 0.227382i | ||||||
\(605\) | 11.9840 | − | 10.4735i | 0.487219 | − | 0.425810i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −14.4621 | − | 19.9054i | −0.587000 | − | 0.807936i | 0.407441 | − | 0.913231i | \(-0.366421\pi\) |
−0.994441 | + | 0.105296i | \(0.966421\pi\) | |||||||
\(608\) | −21.2089 | + | 6.89117i | −0.860133 | + | 0.279474i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.00374 | − | 0.729261i | −0.0406403 | − | 0.0295269i | ||||
\(611\) | 17.4818 | + | 12.7013i | 0.707238 | + | 0.513839i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.4976 | − | 6.98501i | 0.868282 | − | 0.282122i | 0.159199 | − | 0.987247i | \(-0.449109\pi\) |
0.709083 | + | 0.705125i | \(0.249109\pi\) | |||||||
\(614\) | 49.2122 | + | 67.7348i | 1.98604 | + | 2.73355i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 41.7467 | + | 4.70028i | 1.68202 | + | 0.189380i | ||||
\(617\) | 9.43688i | 0.379915i | 0.981792 | + | 0.189957i | \(0.0608349\pi\) | ||||
−0.981792 | + | 0.189957i | \(0.939165\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.13730 | − | 12.7333i | −0.166292 | − | 0.511794i | 0.832837 | − | 0.553518i | \(-0.186715\pi\) |
−0.999129 | + | 0.0417238i | \(0.986715\pi\) | |||||||
\(620\) | −29.5739 | − | 9.60915i | −1.18772 | − | 0.385913i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 9.04845 | − | 12.4541i | 0.362810 | − | 0.499365i | ||||
\(623\) | 2.28222 | − | 7.02394i | 0.0914350 | − | 0.281408i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 1.63385 | − | 1.18706i | 0.0653540 | − | 0.0474824i | ||||
\(626\) | −71.2061 | −2.84597 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.448898 | −0.0179130 | ||||||||
\(629\) | 33.5439 | − | 24.3710i | 1.33748 | − | 0.971737i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.99811 | + | 12.3049i | −0.159162 | + | 0.489851i | −0.998559 | − | 0.0536685i | \(-0.982909\pi\) |
0.839397 | + | 0.543519i | \(0.182909\pi\) | |||||||
\(632\) | 51.6782 | − | 71.1290i | 2.05565 | − | 2.82936i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.07249 | − | 1.64815i | −0.201454 | − | 0.0654564i | ||||
\(635\) | −0.0460109 | − | 0.141607i | −0.00182589 | − | 0.00561950i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 14.6340i | 0.579821i | ||||||||
\(638\) | −0.852164 | + | 0.174554i | −0.0337375 | + | 0.00691065i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 19.4638 | + | 26.7896i | 0.769373 | + | 1.05895i | ||||
\(641\) | 9.50152 | − | 3.08723i | 0.375288 | − | 0.121938i | −0.115299 | − | 0.993331i | \(-0.536783\pi\) |
0.490586 | + | 0.871393i | \(0.336783\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.2607 | + | 7.45486i | 0.404644 | + | 0.293991i | 0.771430 | − | 0.636314i | \(-0.219542\pi\) |
−0.366786 | + | 0.930305i | \(0.619542\pi\) | |||||||
\(644\) | 35.6567 | + | 25.9061i | 1.40507 | + | 1.02084i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −13.3234 | + | 4.32904i | −0.524203 | + | 0.170324i | ||||
\(647\) | −19.3401 | − | 26.6193i | −0.760337 | − | 1.04651i | −0.997186 | − | 0.0749678i | \(-0.976115\pi\) |
0.236849 | − | 0.971547i | \(-0.423885\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.15077 | + | 9.14018i | −0.162932 | + | 0.358784i | ||||
\(650\) | 23.3084i | 0.914230i | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 4.75943 | + | 14.6480i | 0.186393 | + | 0.573660i | ||||
\(653\) | 20.3171 | + | 6.60143i | 0.795070 | + | 0.258334i | 0.678262 | − | 0.734820i | \(-0.262734\pi\) |
0.116809 | + | 0.993154i | \(0.462734\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 13.0676 | − | 17.9860i | 0.510593 | − | 0.702771i | ||||
\(656\) | −18.5342 | + | 57.0424i | −0.723639 | + | 2.22713i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 22.8383 | − | 16.5930i | 0.890331 | − | 0.646863i | ||||
\(659\) | −10.6922 | −0.416508 | −0.208254 | − | 0.978075i | \(-0.566778\pi\) | ||||
−0.208254 | + | 0.978075i | \(0.566778\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 29.2602 | 1.13809 | 0.569045 | − | 0.822306i | \(-0.307313\pi\) | ||||
0.569045 | + | 0.822306i | \(0.307313\pi\) | |||||||
\(662\) | 8.88580 | − | 6.45591i | 0.345356 | − | 0.250916i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 16.1715 | − | 49.7709i | 0.627577 | − | 1.93148i | ||||
\(665\) | 1.53796 | − | 2.11683i | 0.0596397 | − | 0.0820870i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −0.537728 | − | 0.174718i | −0.0208209 | − | 0.00676512i | ||||
\(668\) | 7.23506 | + | 22.2672i | 0.279933 | + | 0.861544i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 13.3949i | − | 0.517490i | ||||||
\(671\) | −0.779300 | − | 0.712195i | −0.0300845 | − | 0.0274940i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −24.5320 | − | 33.7655i | −0.945641 | − | 1.30156i | −0.953437 | − | 0.301593i | \(-0.902481\pi\) |
0.00779576 | − | 0.999970i | \(-0.497519\pi\) | |||||||
\(674\) | 73.0890 | − | 23.7481i | 2.81528 | − | 0.914741i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.6003 | − | 12.7874i | −0.676935 | − | 0.491822i | ||||
\(677\) | 24.0662 | + | 17.4851i | 0.924940 | + | 0.672008i | 0.944749 | − | 0.327796i | \(-0.106306\pi\) |
−0.0198090 | + | 0.999804i | \(0.506306\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −8.29406 | + | 2.69491i | −0.318297 | + | 0.103421i | ||||
\(680\) | 30.9778 | + | 42.6373i | 1.18794 | + | 1.63507i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −33.2574 | − | 15.1029i | −1.27349 | − | 0.578322i | ||||
\(683\) | 27.9122i | 1.06803i | 0.845475 | + | 0.534015i | \(0.179317\pi\) | ||||
−0.845475 | + | 0.534015i | \(0.820683\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −1.66482 | − | 5.12378i | −0.0636094 | − | 0.195770i | ||||
\(686\) | 44.0728 | + | 14.3201i | 1.68271 | + | 0.546745i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 16.4003 | − | 22.5731i | 0.625255 | − | 0.860590i | ||||
\(689\) | −0.309081 | + | 0.951252i | −0.0117750 | + | 0.0362398i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −1.03840 | + | 0.754441i | −0.0395026 | + | 0.0287003i | −0.607361 | − | 0.794426i | \(-0.707772\pi\) |
0.567859 | + | 0.823126i | \(0.307772\pi\) | |||||||
\(692\) | 54.9382 | 2.08844 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −27.8516 | −1.05723 | ||||||||
\(695\) | −19.9183 | + | 14.4715i | −0.755545 | + | 0.548936i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −5.86342 | + | 18.0458i | −0.222093 | + | 0.683532i | ||||
\(698\) | −29.2200 | + | 40.2179i | −1.10599 | + | 1.52227i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 20.9787 | + | 6.81639i | 0.792920 | + | 0.257635i | ||||
\(701\) | 9.82030 | + | 30.2238i | 0.370908 | + | 1.14154i | 0.946198 | + | 0.323588i | \(0.104889\pi\) |
−0.575290 | + | 0.817949i | \(0.695111\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 12.5112i | − | 0.471869i | ||||||
\(704\) | 35.5435 | + | 62.6286i | 1.33959 | + | 2.36041i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −21.2049 | − | 29.1861i | −0.798058 | − | 1.09843i | ||||
\(707\) | −15.9847 | + | 5.19373i | −0.601165 | + | 0.195330i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.387633 | − | 0.281632i | −0.0145579 | − | 0.0105769i | 0.580483 | − | 0.814273i | \(-0.302864\pi\) |
−0.595040 | + | 0.803696i | \(0.702864\pi\) | |||||||
\(710\) | 28.9110 | + | 21.0050i | 1.08501 | + | 0.788305i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 42.6902 | − | 13.8709i | 1.59988 | − | 0.519833i | ||||
\(713\) | −13.9550 | − | 19.2074i | −0.522618 | − | 0.719322i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 1.59829 | − | 14.1956i | 0.0597727 | − | 0.530886i | ||||
\(716\) | − | 52.9647i | − | 1.97938i | ||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 5.19529 | + | 15.9895i | 0.193886 | + | 0.596721i | ||||
\(719\) | −22.0526 | − | 7.16534i | −0.822425 | − | 0.267222i | −0.132574 | − | 0.991173i | \(-0.542324\pi\) |
−0.689851 | + | 0.723951i | \(0.742324\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −2.84253 | + | 3.91241i | −0.105862 | + | 0.145706i | ||||
\(722\) | 14.5104 | − | 44.6585i | 0.540022 | − | 1.66202i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 65.9409 | − | 47.9089i | 2.45068 | − | 1.78052i | ||||
\(725\) | −0.282973 | −0.0105094 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 39.4438 | 1.46289 | 0.731444 | − | 0.681902i | \(-0.238847\pi\) | ||||
0.731444 | + | 0.681902i | \(0.238847\pi\) | |||||||
\(728\) | 30.5055 | − | 22.1635i | 1.13061 | − | 0.821435i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −8.55002 | + | 26.3143i | −0.316450 | + | 0.973934i | ||||
\(731\) | 5.18835 | − | 7.14114i | 0.191898 | − | 0.264125i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 9.29818 | + | 3.02116i | 0.343436 | + | 0.111589i | 0.475656 | − | 0.879631i | \(-0.342211\pi\) |
−0.132220 | + | 0.991220i | \(0.542211\pi\) | |||||||
\(734\) | −6.41017 | − | 19.7285i | −0.236604 | − | 0.728191i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 103.385i | 3.81083i | ||||||||
\(737\) | 1.27523 | − | 11.3262i | 0.0469735 | − | 0.417207i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.0478 | − | 19.3351i | −0.516757 | − | 0.711255i | 0.468284 | − | 0.883578i | \(-0.344873\pi\) |
−0.985040 | + | 0.172324i | \(0.944873\pi\) | |||||||
\(740\) | −72.2512 | + | 23.4759i | −2.65601 | + | 0.862990i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.05712 | + | 0.768044i | 0.0388082 | + | 0.0281958i | ||||
\(743\) | −29.7914 | − | 21.6447i | −1.09294 | − | 0.794067i | −0.113046 | − | 0.993590i | \(-0.536061\pi\) |
−0.979893 | + | 0.199523i | \(0.936061\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 15.7587 | − | 5.12031i | 0.577353 | − | 0.187593i | ||||
\(746\) | −33.3459 | − | 45.8967i | −1.22088 | − | 1.68040i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 35.7263 | + | 62.9508i | 1.30628 | + | 2.30171i | ||||
\(749\) | − | 13.6491i | − | 0.498728i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.48714 | − | 29.1984i | −0.346191 | − | 1.06547i | −0.960943 | − | 0.276746i | \(-0.910744\pi\) |
0.614752 | − | 0.788720i | \(-0.289256\pi\) | |||||||
\(752\) | 90.5924 | + | 29.4353i | 3.30357 | + | 1.07339i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −0.458912 | + | 0.631638i | −0.0167126 | + | 0.0230029i | ||||
\(755\) | −0.475281 | + | 1.46276i | −0.0172972 | + | 0.0532354i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −34.5971 | + | 25.1362i | −1.25745 | + | 0.913592i | −0.998630 | − | 0.0523331i | \(-0.983334\pi\) |
−0.258822 | + | 0.965925i | \(0.583334\pi\) | |||||||
\(758\) | −79.9170 | −2.90272 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 15.9029 | 0.576857 | ||||||||
\(761\) | −21.8523 | + | 15.8766i | −0.792145 | + | 0.575527i | −0.908599 | − | 0.417669i | \(-0.862847\pi\) |
0.116454 | + | 0.993196i | \(0.462847\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.83495 | − | 5.64740i | 0.0664297 | − | 0.204450i | ||||
\(764\) | −11.4788 | + | 15.7991i | −0.415287 | + | 0.571593i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6.83574 | − | 2.22107i | −0.246985 | − | 0.0802504i | ||||
\(767\) | 2.78429 | + | 8.56916i | 0.100535 | + | 0.309415i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 48.3934i | − | 1.74511i | −0.488517 | − | 0.872555i | \(-0.662462\pi\) | ||
0.488517 | − | 0.872555i | \(-0.337538\pi\) | |||||||
\(770\) | −16.9923 | − | 7.71661i | −0.612361 | − | 0.278087i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 77.0567 | + | 106.059i | 2.77333 | + | 3.81716i | ||||
\(773\) | −33.6456 | + | 10.9321i | −1.21015 | + | 0.393201i | −0.843485 | − | 0.537152i | \(-0.819500\pi\) |
−0.366664 | + | 0.930354i | \(0.619500\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −9.61296 | − | 6.98422i | −0.345308 | − | 0.250881i | ||||
\(776\) | −42.8811 | − | 31.1550i | −1.53934 | − | 1.11840i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.63315 | + | 0.530643i | −0.0585513 | + | 0.0190245i | ||||
\(779\) | 3.36536 | + | 4.63201i | 0.120576 | + | 0.165959i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 22.4463 | + | 20.5135i | 0.803193 | + | 0.734031i | ||||
\(782\) | 64.9467i | 2.32249i | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 19.9344 | + | 61.3518i | 0.711943 | + | 2.19113i | ||||
\(785\) | 0.117502 | + | 0.0381788i | 0.00419383 | + | 0.00136266i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 15.1588 | − | 20.8643i | 0.540353 | − | 0.743732i | −0.448311 | − | 0.893878i | \(-0.647974\pi\) |
0.988664 | + | 0.150146i | \(0.0479743\pi\) | |||||||
\(788\) | 31.2255 | − | 96.1021i | 1.11236 | − | 3.42349i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −31.5978 | + | 22.9571i | −1.12420 | + | 0.816778i | ||||
\(791\) | 29.1938 | 1.03801 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −0.947564 | −0.0336490 | ||||||||
\(794\) | 54.9527 | − | 39.9254i | 1.95020 | − | 1.41690i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −42.2580 | + | 130.057i | −1.49779 | + | 4.60974i | ||||
\(797\) | −10.0269 | + | 13.8009i | −0.355171 | + | 0.488851i | −0.948795 | − | 0.315891i | \(-0.897697\pi\) |
0.593624 | + | 0.804742i | \(0.297697\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 28.6596 | + | 9.31205i | 1.01390 | + | 0.329437i | ||||
\(800\) | 15.9893 | + | 49.2101i | 0.565308 | + | 1.73984i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 78.5813i | 2.77480i | ||||||||
\(803\) | −9.73477 | + | 21.4364i | −0.343533 | + | 0.756474i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −7.13008 | − | 9.81371i | −0.251302 | − | 0.345888i | ||||
\(806\) | −31.1797 | + | 10.1309i | −1.09826 | + | 0.356845i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −82.6423 | − | 60.0431i | −2.90735 | − | 2.11231i | ||||
\(809\) | −38.7684 | − | 28.1669i | −1.36302 | − | 0.990295i | −0.998246 | − | 0.0592001i | \(-0.981145\pi\) |
−0.364778 | − | 0.931095i | \(-0.618855\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 45.0299 | − | 14.6311i | 1.58121 | − | 0.513768i | 0.618845 | − | 0.785513i | \(-0.287601\pi\) |
0.962369 | + | 0.271745i | \(0.0876009\pi\) | |||||||
\(812\) | 0.434300 | + | 0.597762i | 0.0152409 | + | 0.0209773i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −87.4206 | + | 17.9069i | −3.06409 | + | 0.627636i | ||||
\(815\) | − | 4.23901i | − | 0.148486i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.823068 | − | 2.53314i | −0.0287955 | − | 0.0886235i | ||||
\(818\) | −42.5510 | − | 13.8257i | −1.48776 | − | 0.483403i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 20.4348 | − | 28.1261i | 0.713615 | − | 0.982207i | ||||
\(821\) | −5.43200 | + | 16.7180i | −0.189578 | + | 0.583461i | −0.999997 | − | 0.00238936i | \(-0.999239\pi\) |
0.810419 | + | 0.585851i | \(0.199239\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −23.1389 | + | 16.8114i | −0.806571 | + | 0.586008i | −0.912835 | − | 0.408330i | \(-0.866111\pi\) |
0.106263 | + | 0.994338i | \(0.466111\pi\) | |||||||
\(824\) | −29.3924 | −1.02393 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 11.7709 | 0.409562 | ||||||||
\(827\) | −13.0031 | + | 9.44733i | −0.452163 | + | 0.328516i | −0.790449 | − | 0.612527i | \(-0.790153\pi\) |
0.338286 | + | 0.941043i | \(0.390153\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.324003 | − | 0.997179i | 0.0112531 | − | 0.0346335i | −0.945272 | − | 0.326282i | \(-0.894204\pi\) |
0.956525 | + | 0.291649i | \(0.0942039\pi\) | |||||||
\(830\) | −13.6646 | + | 18.8077i | −0.474306 | + | 0.652826i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 61.4712 | + | 19.9732i | 2.13113 | + | 0.692446i | ||||
\(833\) | 6.30639 | + | 19.4091i | 0.218503 | + | 0.672484i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | − | 6.44395i | − | 0.223002i | ||||||
\(836\) | 21.7040 | + | 2.44366i | 0.750648 | + | 0.0845158i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 14.8427 | + | 20.4292i | 0.512733 | + | 0.705716i | ||||
\(839\) | −19.9651 | + | 6.48707i | −0.689273 | + | 0.223958i | −0.632651 | − | 0.774437i | \(-0.718033\pi\) |
−0.0566224 | + | 0.998396i | \(0.518033\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 23.4538 | + | 17.0402i | 0.808753 | + | 0.587593i | ||||
\(842\) | 7.21614 | + | 5.24283i | 0.248685 | + | 0.180680i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −113.680 | + | 36.9370i | −3.91304 | + | 1.27142i | ||||
\(845\) | 3.51944 | + | 4.84410i | 0.121073 | + | 0.166642i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −13.6335 | − | 8.14260i | −0.468451 | − | 0.279783i | ||||
\(848\) | 4.40906i | 0.151408i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 10.0445 | + | 30.9138i | 0.344524 | + | 1.06034i | ||||
\(851\) | −55.1637 | − | 17.9238i | −1.89099 | − | 0.614419i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −3.11090 | + | 4.28178i | −0.106515 | + | 0.146605i | −0.858947 | − | 0.512065i | \(-0.828881\pi\) |
0.752432 | + | 0.658670i | \(0.228881\pi\) | |||||||
\(854\) | −0.382533 | + | 1.17732i | −0.0130900 | + | 0.0402869i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 67.1135 | − | 48.7608i | 2.29389 | − | 1.66661i | ||||
\(857\) | 7.76042 | 0.265091 | 0.132545 | − | 0.991177i | \(-0.457685\pi\) | ||||
0.132545 | + | 0.991177i | \(0.457685\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −48.6716 | −1.66065 | −0.830326 | − | 0.557278i | \(-0.811846\pi\) | ||||
−0.830326 | + | 0.557278i | \(0.811846\pi\) | |||||||
\(860\) | −13.0843 | + | 9.50632i | −0.446172 | + | 0.324163i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 1.77184 | − | 5.45317i | 0.0603492 | − | 0.185736i | ||||
\(863\) | 8.87079 | − | 12.2096i | 0.301965 | − | 0.415619i | −0.630889 | − | 0.775873i | \(-0.717310\pi\) |
0.932854 | + | 0.360253i | \(0.117310\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −14.3805 | − | 4.67250i | −0.488951 | − | 0.158870i | ||||
\(866\) | −12.8248 | − | 39.4705i | −0.435803 | − | 1.34126i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 31.0260i | 1.05309i | ||||||||
\(869\) | −28.9035 | + | 16.4035i | −0.980485 | + | 0.556452i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −6.01315 | − | 8.27639i | −0.203748 | − | 0.280435i | ||||
\(872\) | 34.3238 | − | 11.1525i | 1.16235 | − | 0.377671i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 15.8547 | + | 11.5191i | 0.536294 | + | 0.389640i | ||||
\(875\) | −13.3609 | − | 9.70723i | −0.451679 | − | 0.328164i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 21.0670 | − | 6.84508i | 0.711382 | − | 0.231142i | 0.0690993 | − | 0.997610i | \(-0.477987\pi\) |
0.642283 | + | 0.766468i | \(0.277987\pi\) | |||||||
\(878\) | 56.6952 | + | 78.0342i | 1.91337 | + | 2.63353i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −12.6365 | − | 61.6909i | −0.425977 | − | 2.07960i | ||||
\(881\) | − | 18.8235i | − | 0.634180i | −0.948395 | − | 0.317090i | \(-0.897294\pi\) | ||
0.948395 | − | 0.317090i | \(-0.102706\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.7223 | − | 36.0776i | −0.394488 | − | 1.21411i | −0.929360 | − | 0.369175i | \(-0.879640\pi\) |
0.534872 | − | 0.844933i | \(-0.320360\pi\) | |||||||
\(884\) | 61.7874 | + | 20.0760i | 2.07814 | + | 0.675228i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 18.9974 | − | 26.1477i | 0.638230 | − | 0.878448i | ||||
\(887\) | 8.99644 | − | 27.6882i | 0.302071 | − | 0.929679i | −0.678683 | − | 0.734431i | \(-0.737449\pi\) |
0.980754 | − | 0.195247i | \(-0.0625510\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.120187 | + | 0.0873211i | −0.00403095 | + | 0.00292866i | ||||
\(890\) | −19.9403 | −0.668401 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −119.589 | −4.00414 | ||||||||
\(893\) | 7.35638 | − | 5.34472i | 0.246172 | − | 0.178854i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −4.50465 | + | 13.8639i | −0.150574 | + | 0.463419i | ||||
\(896\) | 19.4200 | − | 26.7293i | 0.648777 | − | 0.892965i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −65.4203 | − | 21.2563i | −2.18310 | − | 0.709333i | ||||
\(899\) | −0.122993 | − | 0.378534i | −0.00410205 | − | 0.0126248i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 1.39484i | 0.0464688i | ||||||||
\(902\) | 27.5490 | − | 30.1447i | 0.917280 | − | 1.00371i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 104.293 | + | 143.548i | 3.46875 | + | 4.77432i | ||||
\(905\) | −21.3352 | + | 6.93222i | −0.709205 | + | 0.230435i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 15.0107 | + | 10.9059i | 0.498423 | + | 0.362126i | 0.808414 | − | 0.588614i | \(-0.200326\pi\) |
−0.309991 | + | 0.950739i | \(0.600326\pi\) | |||||||
\(908\) | −34.5673 | − | 25.1146i | −1.14716 | − | 0.833458i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −15.9308 | + | 5.17622i | −0.528100 | + | 0.171590i | ||||
\(911\) | −19.5259 | − | 26.8751i | −0.646922 | − | 0.890411i | 0.352039 | − | 0.935985i | \(-0.385488\pi\) |
−0.998961 | + | 0.0455740i | \(0.985488\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.3449 | + | 14.6022i | −0.441650 | + | 0.483264i | ||||
\(914\) | 2.74759i | 0.0908823i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 22.0829 | + | 67.9643i | 0.729640 | + | 2.24560i | ||||
\(917\) | −21.0963 | − | 6.85459i | −0.696660 | − | 0.226359i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −10.8277 | + | 14.9031i | −0.357173 | + | 0.491606i | −0.949358 | − | 0.314195i | \(-0.898265\pi\) |
0.592185 | + | 0.805802i | \(0.298265\pi\) | |||||||
\(920\) | 22.7827 | − | 70.1180i | 0.751124 | − | 2.31172i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 9.85973 | − | 7.16351i | 0.324713 | − | 0.235918i | ||||
\(923\) | 27.2929 | 0.898356 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −29.0292 | −0.954476 | ||||||||
\(926\) | 18.4200 | − | 13.3829i | 0.605320 | − | 0.439791i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.535586 | + | 1.64836i | −0.0175815 | + | 0.0541102i | ||||
\(929\) | 17.2134 | − | 23.6922i | 0.564752 | − | 0.777315i | −0.427169 | − | 0.904172i | \(-0.640489\pi\) |
0.991921 | + | 0.126857i | \(0.0404889\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.85663 | + | 1.90293i | 0.191943 | + | 0.0623662i | ||||
\(932\) | −8.21593 | − | 25.2860i | −0.269122 | − | 0.828272i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 16.7097i | 0.546757i | ||||||||
\(935\) | −3.99765 | − | 19.5164i | −0.130737 | − | 0.638253i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −9.28756 | − | 12.7832i | −0.303411 | − | 0.417610i | 0.629901 | − | 0.776675i | \(-0.283095\pi\) |
−0.933312 | + | 0.359066i | \(0.883095\pi\) | |||||||
\(938\) | −12.7106 | + | 4.12994i | −0.415017 | + | 0.134847i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −44.6688 | − | 32.4538i | −1.45694 | − | 1.05853i | ||||
\(941\) | −6.70118 | − | 4.86869i | −0.218452 | − | 0.158715i | 0.473177 | − | 0.880967i | \(-0.343107\pi\) |
−0.691630 | + | 0.722252i | \(0.743107\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 25.2445 | − | 8.20243i | 0.822073 | − | 0.267108i | ||||
\(944\) | 23.3457 | + | 32.1326i | 0.759839 | + | 1.04583i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −16.5220 | + | 9.37671i | −0.537178 | + | 0.304863i | ||||
\(947\) | 4.91237i | 0.159631i | 0.996810 | + | 0.0798154i | \(0.0254331\pi\) | ||||
−0.996810 | + | 0.0798154i | \(0.974567\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 6.52997 | + | 20.0972i | 0.211972 | + | 0.652382i | ||||
\(950\) | 9.32816 | + | 3.03090i | 0.302645 | + | 0.0983355i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 30.9081 | − | 42.5414i | 1.00174 | − | 1.37878i | ||||
\(953\) | 1.81366 | − | 5.58186i | 0.0587501 | − | 0.180814i | −0.917375 | − | 0.398025i | \(-0.869696\pi\) |
0.976125 | + | 0.217211i | \(0.0696958\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.34837 | − | 3.15927i | 0.140710 | − | 0.102232i | ||||
\(956\) | 106.013 | 3.42872 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −60.0907 | −1.94144 | ||||||||
\(959\) | −4.34875 | + | 3.15955i | −0.140428 | + | 0.102027i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −4.41495 | + | 13.5878i | −0.142418 | + | 0.438317i | ||||
\(962\) | −47.0782 | + | 64.7976i | −1.51786 | + | 2.08916i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 141.498 | + | 45.9756i | 4.55735 | + | 1.48077i | ||||
\(965\) | −11.1498 | − | 34.3155i | −0.358924 | − | 1.10466i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | − | 17.5410i | − | 0.564080i | −0.959403 | − | 0.282040i | \(-0.908989\pi\) | ||
0.959403 | − | 0.282040i | \(-0.0910110\pi\) | |||||||
\(968\) | −8.66725 | − | 96.1256i | −0.278576 | − | 3.08959i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 13.8400 | + | 19.0492i | 0.444377 | + | 0.611633i | ||||
\(971\) | 46.6836 | − | 15.1684i | 1.49815 | − | 0.486778i | 0.558672 | − | 0.829389i | \(-0.311311\pi\) |
0.939478 | + | 0.342610i | \(0.111311\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 19.8735 | + | 14.4390i | 0.637117 | + | 0.462892i | ||||
\(974\) | −74.2582 | − | 53.9518i | −2.37939 | − | 1.72873i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −3.97257 | + | 1.29077i | −0.127159 | + | 0.0413164i | ||||
\(977\) | 7.37573 | + | 10.1518i | 0.235970 | + | 0.324785i | 0.910536 | − | 0.413429i | \(-0.135669\pi\) |
−0.674566 | + | 0.738215i | \(0.735669\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −16.8608 | − | 1.89836i | −0.538874 | − | 0.0606720i | ||||
\(980\) | − | 37.3923i | − | 1.19445i | ||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −15.6708 | − | 48.2298i | −0.500076 | − | 1.53908i | ||||
\(983\) | 20.0460 | + | 6.51333i | 0.639367 | + | 0.207743i | 0.610720 | − | 0.791847i | \(-0.290880\pi\) |
0.0286471 | + | 0.999590i | \(0.490880\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −16.3470 | + | 22.4997i | −0.520858 | + | 0.716900i | ||||
\(986\) | −0.336455 | + | 1.03550i | −0.0107149 | + | 0.0329771i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 15.8597 | − | 11.5227i | 0.504564 | − | 0.366587i | ||||
\(989\) | −12.3481 | −0.392648 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 60.3045 | 1.91564 | 0.957818 | − | 0.287375i | \(-0.0927826\pi\) | ||||
0.957818 | + | 0.287375i | \(0.0927826\pi\) | |||||||
\(992\) | −58.8787 | + | 42.7779i | −1.86940 | + | 1.35820i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 11.0182 | − | 33.9105i | 0.349475 | − | 1.07557i | ||||
\(995\) | 22.1227 | − | 30.4492i | 0.701336 | − | 0.965306i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 53.4551 | + | 17.3686i | 1.69294 | + | 0.550069i | 0.987351 | − | 0.158553i | \(-0.0506828\pi\) |
0.705588 | + | 0.708622i | \(0.250683\pi\) | |||||||
\(998\) | 6.32493 | + | 19.4661i | 0.200212 | + | 0.616190i | ||||
\(999\) | 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 | 891.2.k.a.404.1 | 80 | ||
3.2 | odd | 2 | inner | 891.2.k.a.404.20 | 80 | ||
9.2 | odd | 6 | 99.2.p.a.41.1 | yes | 80 | ||
9.4 | even | 3 | 99.2.p.a.74.1 | yes | 80 | ||
9.5 | odd | 6 | 297.2.t.a.8.10 | 80 | |||
9.7 | even | 3 | 297.2.t.a.206.10 | 80 | |||
11.7 | odd | 10 | inner | 891.2.k.a.161.20 | 80 | ||
33.29 | even | 10 | inner | 891.2.k.a.161.1 | 80 | ||
99.7 | odd | 30 | 297.2.t.a.260.10 | 80 | |||
99.29 | even | 30 | 99.2.p.a.95.1 | yes | 80 | ||
99.40 | odd | 30 | 99.2.p.a.29.1 | ✓ | 80 | ||
99.95 | even | 30 | 297.2.t.a.62.10 | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.1 | ✓ | 80 | 99.40 | odd | 30 | ||
99.2.p.a.41.1 | yes | 80 | 9.2 | odd | 6 | ||
99.2.p.a.74.1 | yes | 80 | 9.4 | even | 3 | ||
99.2.p.a.95.1 | yes | 80 | 99.29 | even | 30 | ||
297.2.t.a.8.10 | 80 | 9.5 | odd | 6 | |||
297.2.t.a.62.10 | 80 | 99.95 | even | 30 | |||
297.2.t.a.206.10 | 80 | 9.7 | even | 3 | |||
297.2.t.a.260.10 | 80 | 99.7 | odd | 30 | |||
891.2.k.a.161.1 | 80 | 33.29 | even | 10 | inner | ||
891.2.k.a.161.20 | 80 | 11.7 | odd | 10 | inner | ||
891.2.k.a.404.1 | 80 | 1.1 | even | 1 | trivial | ||
891.2.k.a.404.20 | 80 | 3.2 | odd | 2 | inner |