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 | 161.20 | ||
Character | \(\chi\) | \(=\) | 891.161 |
Dual form | 891.2.k.a.404.20 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
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 | 0.949660 | + | 0.313284i | \(0.101429\pi\) |
0.591412 | + | 0.806370i | \(0.298571\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.62452 | + | 4.99975i | 0.812259 | + | 2.49988i | ||||
\(5\) | 0.850459 | + | 1.17056i | 0.380337 | + | 0.523488i | 0.955674 | − | 0.294428i | \(-0.0951291\pi\) |
−0.575337 | + | 0.817916i | \(0.695129\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.37298 | − | 0.446107i | 0.518936 | − | 0.168613i | −0.0378262 | − | 0.999284i | \(-0.512043\pi\) |
0.556763 | + | 0.830672i | \(0.312043\pi\) | |||||||
\(8\) | −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 | −0.979512 | − | 0.201388i | \(-0.935455\pi\) |
0.494217 | + | 0.869339i | \(0.335455\pi\) | |||||||
\(14\) | 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 | \(-0.532071\pi\) |
0.915151 | + | 0.403112i | \(0.132071\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.19136 | − | 0.387096i | −0.273317 | − | 0.0888059i | 0.169152 | − | 0.985590i | \(-0.445897\pi\) |
−0.442468 | + | 0.896784i | \(0.645897\pi\) | |||||||
\(20\) | −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 | \(-0.0971226\pi\) |
−0.948224 | + | 0.317601i | \(0.897123\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.30738 | − | 2.40295i | −0.594023 | − | 0.431583i | 0.249730 | − | 0.968316i | \(-0.419658\pi\) |
−0.843752 | + | 0.536733i | \(0.819658\pi\) | |||||||
\(32\) | −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 | −0.796711 | − | 0.604360i | \(-0.793429\pi\) |
0.289319 | − | 0.957233i | \(-0.406571\pi\) | |||||||
\(38\) | −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 | −0.778130 | − | 0.628103i | \(-0.783832\pi\) |
0.998710 | − | 0.0507726i | \(-0.0161684\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 2.12626i | − | 0.324252i | −0.986770 | − | 0.162126i | \(-0.948165\pi\) | ||
0.986770 | − | 0.162126i | \(-0.0518351\pi\) | |||||||
\(44\) | 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 | \(-0.222414\pi\) |
0.241338 | + | 0.970441i | \(0.422414\pi\) | |||||||
\(48\) | 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 | \(-0.792654\pi\) |
0.822365 | + | 0.568960i | \(0.192654\pi\) | |||||||
\(54\) | 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 | \(-0.536873\pi\) |
0.490340 | + | 0.871531i | \(0.336873\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.187098 | + | 0.257518i | 0.0239554 | + | 0.0329718i | 0.820827 | − | 0.571177i | \(-0.193513\pi\) |
−0.796871 | + | 0.604149i | \(0.793513\pi\) | |||||||
\(62\) | −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 | \(-0.0168937\pi\) |
−0.359034 | + | 0.933325i | \(0.616894\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −6.75113 | + | 2.19358i | −0.790160 | + | 0.256739i | −0.676172 | − | 0.736743i | \(-0.736363\pi\) |
−0.113988 | + | 0.993482i | \(0.536363\pi\) | |||||||
\(74\) | 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 | −0.999566 | − | 0.0294671i | \(-0.990619\pi\) |
0.336908 | + | 0.941538i | \(0.390619\pi\) | |||||||
\(80\) | −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 | \(-0.593849\pi\) |
0.820224 | + | 0.572042i | \(0.193849\pi\) | |||||||
\(84\) | 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 | 0.311350 | − | 0.950295i | \(-0.399219\pi\) |
−0.807572 | + | 0.589769i | \(0.799219\pi\) | |||||||
\(98\) | −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 | \(-0.103354\pi\) |
−0.0105370 | + | 0.999944i | \(0.503354\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.03517 | − | 3.18593i | −0.101999 | − | 0.313919i | 0.887016 | − | 0.461739i | \(-0.152774\pi\) |
−0.989014 | + | 0.147820i | \(0.952774\pi\) | |||||||
\(104\) | −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 | −0.704704 | − | 0.709501i | \(-0.748920\pi\) |
0.987152 | − | 0.159784i | \(-0.0510797\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.11325i | 0.393978i | 0.980406 | + | 0.196989i | \(0.0631163\pi\) | ||||
−0.980406 | + | 0.196989i | \(0.936884\pi\) | |||||||
\(110\) | 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 | −1.00000 | 0.000415145i | \(-0.999868\pi\) | |
−0.809261 | − | 0.587449i | \(-0.800132\pi\) | |||||||
\(114\) | 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 | 0.806325 | − | 0.591473i | \(-0.201453\pi\) |
−0.811692 | + | 0.584085i | \(0.801453\pi\) | |||||||
\(128\) | −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 | \(-0.265763\pi\) | ||||
0.671238 | + | 0.741242i | \(0.265763\pi\) | |||||||
\(132\) | 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 | \(-0.149154\pi\) |
−0.705225 | + | 0.708984i | \(0.749154\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.1833 | − | 5.25827i | 1.37265 | − | 0.446001i | 0.472404 | − | 0.881382i | \(-0.343386\pi\) |
0.900246 | + | 0.435381i | \(0.143386\pi\) | |||||||
\(140\) | −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 | \(-0.544582\pi\) |
0.898604 | + | 0.438760i | \(0.144582\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.01097 | + | 0.328485i | 0.0822718 | + | 0.0267317i | 0.349864 | − | 0.936801i | \(-0.386228\pi\) |
−0.267592 | + | 0.963532i | \(0.586228\pi\) | |||||||
\(152\) | 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 | −0.952104 | − | 0.305775i | \(-0.901085\pi\) |
0.949998 | + | 0.312256i | \(0.101085\pi\) | |||||||
\(158\) | −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 | 0.491079 | − | 0.871115i | \(-0.336603\pi\) |
−0.676728 | + | 0.736233i | \(0.736603\pi\) | |||||||
\(164\) | 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 | \(-0.244875\pi\) |
−0.439585 | + | 0.898201i | \(0.644875\pi\) | |||||||
\(168\) | 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 | 0.750027 | + | 0.661407i | \(0.230040\pi\) |
−0.995550 | + | 0.0942343i | \(0.969960\pi\) | |||||||
\(174\) | 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 | \(-0.522879\pi\) |
−0.644368 | + | 0.764716i | \(0.722879\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 12.5433 | − | 9.11327i | 0.932339 | − | 0.677384i | −0.0142256 | − | 0.999899i | \(-0.504528\pi\) |
0.946564 | + | 0.322515i | \(0.104528\pi\) | |||||||
\(182\) | −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 | \(-0.557090\pi\) |
0.434032 | + | 0.900897i | \(0.357090\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.6578 | − | 20.1747i | −1.05509 | − | 1.45221i | −0.884311 | − | 0.466898i | \(-0.845372\pi\) |
−0.170779 | − | 0.985309i | \(-0.554628\pi\) | |||||||
\(194\) | −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 | \(-0.740081\pi\) | ||||
−0.684733 | + | 0.728794i | \(0.740081\pi\) | |||||||
\(198\) | 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 | 0.0435567 | + | 0.999051i | \(0.486131\pi\) |
−0.963614 | + | 0.267299i | \(0.913869\pi\) | |||||||
\(212\) | 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 | 0.380881 | + | 0.924624i | \(0.375621\pi\) |
−0.851619 | + | 0.524161i | \(0.824379\pi\) | |||||||
\(224\) | −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 | \(-0.186933\pi\) |
−0.999158 | + | 0.0410390i | \(0.986933\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.9974 | − | 7.99008i | −0.726728 | − | 0.527999i | 0.161798 | − | 0.986824i | \(-0.448271\pi\) |
−0.888527 | + | 0.458825i | \(0.848271\pi\) | |||||||
\(230\) | −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 | \(-0.352976\pi\) |
−0.713687 | + | 0.700464i | \(0.752976\pi\) | |||||||
\(234\) | 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 | 0.519390 | + | 0.854538i | \(0.326159\pi\) |
−0.922480 | + | 0.386046i | \(0.873841\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 28.3011i | − | 1.82303i | −0.411264 | − | 0.911516i | \(-0.634913\pi\) | ||
0.411264 | − | 0.911516i | \(-0.365087\pi\) | |||||||
\(242\) | −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 | 0.111931 | + | 0.993716i | \(0.464296\pi\) |
−0.979669 | + | 0.200622i | \(0.935704\pi\) | |||||||
\(252\) | 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 | \(-0.595865\pi\) |
0.321344 | + | 0.946962i | \(0.395865\pi\) | |||||||
\(258\) | 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 | \(-0.833892\pi\) | ||||
−0.866902 | + | 0.498478i | \(0.833892\pi\) | |||||||
\(264\) | 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 | \(-0.335671\pi\) |
−0.979648 | + | 0.200721i | \(0.935671\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −10.5963 | + | 3.44294i | −0.643678 | + | 0.209144i | −0.612624 | − | 0.790374i | \(-0.709886\pi\) |
−0.0310533 | + | 0.999518i | \(0.509886\pi\) | |||||||
\(272\) | −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 | −0.946051 | − | 0.324017i | \(-0.894967\pi\) |
0.600504 | + | 0.799622i | \(0.294967\pi\) | |||||||
\(278\) | 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 | \(-0.581601\pi\) |
0.841623 | + | 0.540066i | \(0.181601\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 14.6399 | + | 4.75680i | 0.870253 | + | 0.282762i | 0.709904 | − | 0.704298i | \(-0.248738\pi\) |
0.160348 | + | 0.987060i | \(0.448738\pi\) | |||||||
\(284\) | −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 | 0.822512 | + | 0.568747i | \(0.192572\pi\) |
−0.331125 | + | 0.943587i | \(0.607428\pi\) | |||||||
\(294\) | 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 | \(0.347146\pi\) | ||||
−0.461960 | + | 0.886901i | \(0.652854\pi\) | |||||||
\(308\) | 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 | \(-0.348200\pi\) |
−0.150845 | + | 0.988557i | \(0.548200\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.3843 | − | 15.5366i | 1.20871 | − | 0.878180i | 0.213598 | − | 0.976922i | \(-0.431482\pi\) |
0.995113 | + | 0.0987412i | \(0.0314816\pi\) | |||||||
\(314\) | −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 | \(-0.817707\pi\) |
0.775085 | + | 0.631857i | \(0.217707\pi\) | |||||||
\(318\) | 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 | −0.933497 | − | 0.358585i | \(-0.883259\pi\) |
−0.544444 | + | 0.838797i | \(0.683259\pi\) | |||||||
\(338\) | −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 | \(-0.789509\pi\) |
0.340190 | + | 0.940357i | \(0.389509\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 17.5504 | + | 5.70248i | 0.939453 | + | 0.305247i | 0.738423 | − | 0.674338i | \(-0.235571\pi\) |
0.201030 | + | 0.979585i | \(0.435571\pi\) | |||||||
\(350\) | 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 | \(-0.152663\pi\) |
−0.988962 | + | 0.148167i | \(0.952663\pi\) | |||||||
\(360\) | 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 | 0.869546 | − | 0.493851i | \(-0.164411\pi\) |
−0.993756 | + | 0.111572i | \(0.964411\pi\) | |||||||
\(368\) | −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 | \(-0.816452\pi\) | ||
0.838304 | − | 0.545204i | \(-0.183548\pi\) | |||||||
\(374\) | −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 | 0.235715 | − | 0.971822i | \(-0.424257\pi\) |
0.997098 | + | 0.0761314i | \(0.0242568\pi\) | |||||||
\(380\) | 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 | \(-0.821715\pi\) |
0.767068 | + | 0.641566i | \(0.221715\pi\) | |||||||
\(384\) | 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 | \(-0.605144\pi\) |
0.293608 | + | 0.955926i | \(0.405144\pi\) | |||||||
\(390\) | 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 | −0.982457 | − | 0.186487i | \(-0.940290\pi\) |
0.126236 | − | 0.992000i | \(-0.459710\pi\) | |||||||
\(402\) | 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 | −0.496318 | − | 0.868141i | \(-0.665315\pi\) |
0.979022 | + | 0.203756i | \(0.0653150\pi\) | |||||||
\(410\) | 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 | −0.972889 | − | 0.231273i | \(-0.925711\pi\) |
0.923022 | + | 0.384746i | \(0.125711\pi\) | |||||||
\(422\) | −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 | \(-0.283676\pi\) |
−0.545541 | + | 0.838084i | \(0.683676\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.76068 | − | 14.6519i | −0.228784 | − | 0.704124i | −0.997885 | − | 0.0649975i | \(-0.979296\pi\) |
0.769102 | − | 0.639126i | \(-0.220704\pi\) | |||||||
\(434\) | −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 | \(0.326104\pi\) | ||||
−0.519539 | + | 0.854447i | \(0.673896\pi\) | |||||||
\(440\) | 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 | \(-0.308002\pi\) |
−0.0251376 | + | 0.999684i | \(0.508002\pi\) | |||||||
\(444\) | 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 | 0.291525 | + | 0.956563i | \(0.405837\pi\) |
−0.999832 | + | 0.0183378i | \(0.994163\pi\) | |||||||
\(450\) | 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 | 0.822809 | − | 0.568319i | \(-0.192406\pi\) |
−0.794765 | + | 0.606917i | \(0.792406\pi\) | |||||||
\(458\) | −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 | \(-0.466403\pi\) | ||||
0.105353 | + | 0.994435i | \(0.466403\pi\) | |||||||
\(462\) | 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 | \(-0.245841\pi\) |
−0.884998 | + | 0.465594i | \(0.845841\pi\) | |||||||
\(468\) | 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 | \(-0.870207\pi\) |
0.0934623 | + | 0.995623i | \(0.470207\pi\) | |||||||
\(480\) | 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 | −0.365965 | − | 0.930629i | \(-0.619261\pi\) |
0.843082 | − | 0.537786i | \(-0.180739\pi\) | |||||||
\(488\) | −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 | 0.992253 | + | 0.124232i | \(0.0396467\pi\) |
−0.729728 | + | 0.683738i | \(0.760353\pi\) | |||||||
\(492\) | 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 | 0.989755 | − | 0.142775i | \(-0.0456024\pi\) |
−0.884650 | + | 0.466256i | \(0.845602\pi\) | |||||||
\(500\) | 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 | −0.585399 | − | 0.810745i | \(-0.699062\pi\) |
0.950142 | − | 0.311818i | \(-0.100938\pi\) | |||||||
\(504\) | 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 | \(-0.491182\pi\) |
−0.565150 | + | 0.824988i | \(0.691182\pi\) | |||||||
\(510\) | 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 | \(-0.549893\pi\) |
0.454291 | + | 0.890854i | \(0.349893\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 18.1933 | + | 25.0410i | 0.795539 | + | 1.09497i | 0.993396 | + | 0.114734i | \(0.0366017\pi\) |
−0.197857 | + | 0.980231i | \(0.563398\pi\) | |||||||
\(524\) | 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 | 0.258845 | − | 0.965919i | \(-0.416658\pi\) |
0.838656 | − | 0.544661i | \(-0.183342\pi\) | |||||||
\(542\) | −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 | 0.457005 | − | 0.889464i | \(-0.348922\pi\) |
−0.153090 | + | 0.988212i | \(0.548922\pi\) | |||||||
\(548\) | −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 | 0.958631 | + | 0.284653i | \(0.0918785\pi\) |
−0.608233 | + | 0.793758i | \(0.708121\pi\) | |||||||
\(558\) | 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 | \(-0.463748\pi\) |
−0.909778 | + | 0.415095i | \(0.863748\pi\) | |||||||
\(564\) | 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 | \(-0.863687\pi\) |
0.980051 | + | 0.198746i | \(0.0636867\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 10.1542i | − | 0.424940i | −0.977168 | − | 0.212470i | \(-0.931849\pi\) | ||
0.977168 | − | 0.212470i | \(-0.0681508\pi\) | |||||||
\(572\) | −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 | −0.174508 | − | 0.984656i | \(-0.555833\pi\) |
0.882537 | + | 0.470242i | \(0.155833\pi\) | |||||||
\(578\) | 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 | \(-0.243433\pi\) |
0.990705 | + | 0.136027i | \(0.0434334\pi\) | |||||||
\(588\) | 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 | \(-0.225042\pi\) | ||||
0.760319 | + | 0.649549i | \(0.225042\pi\) | |||||||
\(594\) | 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 | \(-0.363818\pi\) |
−0.993547 | + | 0.113423i | \(0.963818\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −17.7661 | + | 5.77256i | −0.724694 | + | 0.235467i | −0.648057 | − | 0.761592i | \(-0.724418\pi\) |
−0.0766371 | + | 0.997059i | \(0.524418\pi\) | |||||||
\(602\) | 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 | −0.994441 | − | 0.105296i | \(-0.966421\pi\) |
0.407441 | + | 0.913231i | \(0.366421\pi\) | |||||||
\(608\) | 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 | 0.709083 | − | 0.705125i | \(-0.249109\pi\) |
0.159199 | + | 0.987247i | \(0.449109\pi\) | |||||||
\(614\) | −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 | −0.999129 | − | 0.0417238i | \(-0.986715\pi\) |
0.832837 | + | 0.553518i | \(0.186715\pi\) | |||||||
\(620\) | 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 | 0.839397 | − | 0.543519i | \(-0.182909\pi\) |
−0.998559 | + | 0.0536685i | \(0.982909\pi\) | |||||||
\(632\) | −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 | \(-0.463217\pi\) |
−0.490586 | + | 0.871393i | \(0.663217\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.2607 | − | 7.45486i | 0.404644 | − | 0.293991i | −0.366786 | − | 0.930305i | \(-0.619542\pi\) |
0.771430 | + | 0.636314i | \(0.219542\pi\) | |||||||
\(644\) | −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 | −0.236849 | − | 0.971547i | \(-0.576115\pi\) |
0.997186 | − | 0.0749678i | \(-0.0238854\pi\) | |||||||
\(648\) | 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 | \(-0.737266\pi\) |
−0.116809 | + | 0.993154i | \(0.537266\pi\) | |||||||
\(654\) | 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 | \(-0.433222\pi\) | ||||
0.208254 | + | 0.978075i | \(0.433222\pi\) | |||||||
\(660\) | 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 | 0.00779576 | + | 0.999970i | \(0.497519\pi\) |
−0.953437 | + | 0.301593i | \(0.902481\pi\) | |||||||
\(674\) | −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 | \(-0.893694\pi\) |
0.0198090 | + | 0.999804i | \(0.493694\pi\) | |||||||
\(678\) | 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 | 0.567859 | − | 0.823126i | \(-0.307772\pi\) |
−0.607361 | + | 0.794426i | \(0.707772\pi\) | |||||||
\(692\) | −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 | 0.575290 | + | 0.817949i | \(0.304889\pi\) |
−0.946198 | + | 0.323588i | \(0.895111\pi\) | |||||||
\(702\) | 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 | −0.595040 | − | 0.803696i | \(-0.702864\pi\) |
0.580483 | + | 0.814273i | \(0.302864\pi\) | |||||||
\(710\) | −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 | \(-0.457676\pi\) |
0.689851 | + | 0.723951i | \(0.257676\pi\) | |||||||
\(720\) | 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 | −0.132220 | − | 0.991220i | \(-0.542211\pi\) |
0.475656 | + | 0.879631i | \(0.342211\pi\) | |||||||
\(734\) | 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 | −0.985040 | − | 0.172324i | \(-0.944873\pi\) |
0.468284 | + | 0.883578i | \(0.344873\pi\) | |||||||
\(740\) | 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 | \(-0.463939\pi\) |
0.979893 | + | 0.199523i | \(0.0639392\pi\) | |||||||
\(744\) | 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 | 0.614752 | + | 0.788720i | \(0.289256\pi\) |
−0.960943 | + | 0.276746i | \(0.910744\pi\) | |||||||
\(752\) | −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 | −0.258822 | − | 0.965925i | \(-0.583334\pi\) |
−0.998630 | + | 0.0523331i | \(0.983334\pi\) | |||||||
\(758\) | 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 | \(-0.137153\pi\) |
−0.116454 | + | 0.993196i | \(0.537153\pi\) | |||||||
\(762\) | 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 | \(0.337538\pi\) | ||||
−0.488517 | + | 0.872555i | \(0.662462\pi\) | |||||||
\(770\) | 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 | \(-0.180500\pi\) |
0.366664 | + | 0.930354i | \(0.380500\pi\) | |||||||
\(774\) | 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 | 0.988664 | − | 0.150146i | \(-0.0479743\pi\) |
−0.448311 | + | 0.893878i | \(0.647974\pi\) | |||||||
\(788\) | −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 | \(-0.102303\pi\) |
−0.593624 | + | 0.804742i | \(0.702303\pi\) | |||||||
\(798\) | 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 | 0.364778 | − | 0.931095i | \(-0.381145\pi\) |
0.998246 | − | 0.0592001i | \(-0.0188550\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 45.0299 | + | 14.6311i | 1.58121 | + | 0.513768i | 0.962369 | − | 0.271745i | \(-0.0876009\pi\) |
0.618845 | + | 0.785513i | \(0.287601\pi\) | |||||||
\(812\) | −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 | \(-0.000760556\pi\) |
−0.810419 | + | 0.585851i | \(0.800761\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −23.1389 | − | 16.8114i | −0.806571 | − | 0.586008i | 0.106263 | − | 0.994338i | \(-0.466111\pi\) |
−0.912835 | + | 0.408330i | \(0.866111\pi\) | |||||||
\(824\) | 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 | \(-0.209847\pi\) |
−0.338286 | + | 0.941043i | \(0.609847\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 0.324003 | + | 0.997179i | 0.0112531 | + | 0.0346335i | 0.956525 | − | 0.291649i | \(-0.0942039\pi\) |
−0.945272 | + | 0.326282i | \(0.894204\pi\) | |||||||
\(830\) | 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 | \(-0.281967\pi\) |
0.0566224 | + | 0.998396i | \(0.481967\pi\) | |||||||
\(840\) | 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 | 0.752432 | − | 0.658670i | \(-0.228881\pi\) |
−0.858947 | + | 0.512065i | \(0.828881\pi\) | |||||||
\(854\) | 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 | \(-0.542315\pi\) | ||||
−0.132545 | + | 0.991177i | \(0.542315\pi\) | |||||||
\(858\) | 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 | \(-0.282690\pi\) |
−0.932854 | + | 0.360253i | \(0.882690\pi\) | |||||||
\(864\) | 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 | 0.642283 | − | 0.766468i | \(-0.277987\pi\) |
0.0690993 | + | 0.997610i | \(0.477987\pi\) | |||||||
\(878\) | −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 | 0.534872 | + | 0.844933i | \(0.320360\pi\) |
−0.929360 | + | 0.369175i | \(0.879640\pi\) | |||||||
\(884\) | −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 | −0.980754 | − | 0.195247i | \(-0.937449\pi\) |
0.678683 | − | 0.734431i | \(-0.262551\pi\) | |||||||
\(888\) | 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 | −0.309991 | − | 0.950739i | \(-0.600326\pi\) |
0.808414 | + | 0.588614i | \(0.200326\pi\) | |||||||
\(908\) | 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 | \(-0.614512\pi\) |
0.998961 | + | 0.0455740i | \(0.0145117\pi\) | |||||||
\(912\) | 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 | 0.592185 | − | 0.805802i | \(-0.298265\pi\) |
−0.949358 | + | 0.314195i | \(0.898265\pi\) | |||||||
\(920\) | −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 | \(-0.359511\pi\) |
−0.991921 | + | 0.126857i | \(0.959511\pi\) | |||||||
\(930\) | 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 | −0.933312 | − | 0.359066i | \(-0.883095\pi\) |
0.629901 | + | 0.776675i | \(0.283095\pi\) | |||||||
\(938\) | 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 | \(-0.656893\pi\) |
0.691630 | + | 0.722252i | \(0.256893\pi\) | |||||||
\(942\) | 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 | \(-0.130304\pi\) |
−0.976125 | + | 0.217211i | \(0.930304\pi\) | |||||||
\(954\) | 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 | \(0.0910110\pi\) | ||||
−0.959403 | + | 0.282040i | \(0.908989\pi\) | |||||||
\(968\) | 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 | \(-0.688689\pi\) |
−0.939478 | + | 0.342610i | \(0.888689\pi\) | |||||||
\(972\) | 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 | \(-0.864331\pi\) |
0.674566 | + | 0.738215i | \(0.264331\pi\) | |||||||
\(978\) | 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 | \(-0.709120\pi\) |
−0.0286471 | + | 0.999590i | \(0.509120\pi\) | |||||||
\(984\) | 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 | 0.705588 | − | 0.708622i | \(-0.250683\pi\) |
0.987351 | + | 0.158553i | \(0.0506828\pi\) | |||||||
\(998\) | −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.161.20 | 80 | ||
3.2 | odd | 2 | inner | 891.2.k.a.161.1 | 80 | ||
9.2 | odd | 6 | 99.2.p.a.95.1 | yes | 80 | ||
9.4 | even | 3 | 99.2.p.a.29.1 | ✓ | 80 | ||
9.5 | odd | 6 | 297.2.t.a.62.10 | 80 | |||
9.7 | even | 3 | 297.2.t.a.260.10 | 80 | |||
11.8 | odd | 10 | inner | 891.2.k.a.404.1 | 80 | ||
33.8 | even | 10 | inner | 891.2.k.a.404.20 | 80 | ||
99.41 | even | 30 | 297.2.t.a.8.10 | 80 | |||
99.52 | odd | 30 | 297.2.t.a.206.10 | 80 | |||
99.74 | even | 30 | 99.2.p.a.41.1 | yes | 80 | ||
99.85 | odd | 30 | 99.2.p.a.74.1 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
99.2.p.a.29.1 | ✓ | 80 | 9.4 | even | 3 | ||
99.2.p.a.41.1 | yes | 80 | 99.74 | even | 30 | ||
99.2.p.a.74.1 | yes | 80 | 99.85 | odd | 30 | ||
99.2.p.a.95.1 | yes | 80 | 9.2 | odd | 6 | ||
297.2.t.a.8.10 | 80 | 99.41 | even | 30 | |||
297.2.t.a.62.10 | 80 | 9.5 | odd | 6 | |||
297.2.t.a.206.10 | 80 | 99.52 | odd | 30 | |||
297.2.t.a.260.10 | 80 | 9.7 | even | 3 | |||
891.2.k.a.161.1 | 80 | 3.2 | odd | 2 | inner | ||
891.2.k.a.161.20 | 80 | 1.1 | even | 1 | trivial | ||
891.2.k.a.404.1 | 80 | 11.8 | odd | 10 | inner | ||
891.2.k.a.404.20 | 80 | 33.8 | even | 10 | inner |