Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(71,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bu (of order \(12\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 71.6 | ||
Character | \(\chi\) | \(=\) | 546.71 |
Dual form | 546.2.bu.b.323.6 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{12}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.965926 | + | 0.258819i | −0.683013 | + | 0.183013i | ||||
\(3\) | 1.13690 | − | 1.30670i | 0.656389 | − | 0.754422i | ||||
\(4\) | 0.866025 | − | 0.500000i | 0.433013 | − | 0.250000i | ||||
\(5\) | 1.58301 | + | 1.58301i | 0.707946 | + | 0.707946i | 0.966103 | − | 0.258157i | \(-0.0831153\pi\) |
−0.258157 | + | 0.966103i | \(0.583115\pi\) | |||||||
\(6\) | −0.759962 | + | 1.55642i | −0.310253 | + | 0.635408i | ||||
\(7\) | −0.258819 | + | 0.965926i | −0.0978244 | + | 0.365086i | ||||
\(8\) | −0.707107 | + | 0.707107i | −0.250000 | + | 0.250000i | ||||
\(9\) | −0.414918 | − | 2.97117i | −0.138306 | − | 0.990390i | ||||
\(10\) | −1.93879 | − | 1.11936i | −0.613099 | − | 0.353973i | ||||
\(11\) | 1.28804 | + | 4.80702i | 0.388358 | + | 1.44937i | 0.832805 | + | 0.553566i | \(0.186733\pi\) |
−0.444447 | + | 0.895805i | \(0.646600\pi\) | |||||||
\(12\) | 0.331235 | − | 1.70008i | 0.0956193 | − | 0.490772i | ||||
\(13\) | 0.738744 | + | 3.52906i | 0.204891 | + | 0.978785i | ||||
\(14\) | − | 1.00000i | − | 0.267261i | ||||||
\(15\) | 3.86825 | − | 0.268793i | 0.998778 | − | 0.0694021i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | 1.25294 | + | 2.17015i | 0.303882 | + | 0.526340i | 0.977012 | − | 0.213185i | \(-0.0683837\pi\) |
−0.673129 | + | 0.739525i | \(0.735050\pi\) | |||||||
\(18\) | 1.16978 | + | 2.76254i | 0.275719 | + | 0.651137i | ||||
\(19\) | 1.54049 | + | 0.412774i | 0.353414 | + | 0.0946969i | 0.431158 | − | 0.902276i | \(-0.358105\pi\) |
−0.0777444 | + | 0.996973i | \(0.524772\pi\) | |||||||
\(20\) | 2.16244 | + | 0.579424i | 0.483536 | + | 0.129563i | ||||
\(21\) | 0.967922 | + | 1.43636i | 0.211218 | + | 0.313439i | ||||
\(22\) | −2.48830 | − | 4.30986i | −0.530507 | − | 0.918864i | ||||
\(23\) | −0.566768 | + | 0.981671i | −0.118179 | + | 0.204692i | −0.919046 | − | 0.394150i | \(-0.871039\pi\) |
0.800867 | + | 0.598842i | \(0.204372\pi\) | |||||||
\(24\) | 0.120065 | + | 1.72788i | 0.0245083 | + | 0.352703i | ||||
\(25\) | 0.0118705i | 0.00237409i | ||||||||
\(26\) | −1.62696 | − | 3.21761i | −0.319073 | − | 0.631025i | ||||
\(27\) | −4.35414 | − | 2.83575i | −0.837955 | − | 0.545740i | ||||
\(28\) | 0.258819 | + | 0.965926i | 0.0489122 | + | 0.182543i | ||||
\(29\) | −5.50981 | − | 3.18109i | −1.02315 | − | 0.590714i | −0.108133 | − | 0.994136i | \(-0.534487\pi\) |
−0.915014 | + | 0.403422i | \(0.867821\pi\) | |||||||
\(30\) | −3.66687 | + | 1.26081i | −0.669477 | + | 0.230192i | ||||
\(31\) | 1.36926 | − | 1.36926i | 0.245926 | − | 0.245926i | −0.573370 | − | 0.819296i | \(-0.694364\pi\) |
0.819296 | + | 0.573370i | \(0.194364\pi\) | |||||||
\(32\) | −0.258819 | + | 0.965926i | −0.0457532 | + | 0.170753i | ||||
\(33\) | 7.74569 | + | 3.78202i | 1.34835 | + | 0.658366i | ||||
\(34\) | −1.77192 | − | 1.77192i | −0.303882 | − | 0.303882i | ||||
\(35\) | −1.93879 | + | 1.11936i | −0.327715 | + | 0.189206i | ||||
\(36\) | −1.84491 | − | 2.36565i | −0.307486 | − | 0.394275i | ||||
\(37\) | 1.84621 | − | 0.494691i | 0.303515 | − | 0.0813267i | −0.103847 | − | 0.994593i | \(-0.533115\pi\) |
0.407362 | + | 0.913267i | \(0.366449\pi\) | |||||||
\(38\) | −1.59484 | −0.258717 | ||||||||
\(39\) | 5.45129 | + | 3.04687i | 0.872905 | + | 0.487890i | ||||
\(40\) | −2.23872 | −0.353973 | ||||||||
\(41\) | −3.36855 | + | 0.902600i | −0.526079 | + | 0.140963i | −0.512077 | − | 0.858939i | \(-0.671124\pi\) |
−0.0140021 | + | 0.999902i | \(0.504457\pi\) | |||||||
\(42\) | −1.30670 | − | 1.13690i | −0.201628 | − | 0.175427i | ||||
\(43\) | 6.80079 | − | 3.92644i | 1.03711 | − | 0.598776i | 0.118097 | − | 0.993002i | \(-0.462320\pi\) |
0.919014 | + | 0.394226i | \(0.128987\pi\) | |||||||
\(44\) | 3.51898 | + | 3.51898i | 0.530507 | + | 0.530507i | ||||
\(45\) | 4.04658 | − | 5.36023i | 0.603229 | − | 0.799055i | ||||
\(46\) | 0.293381 | − | 1.09491i | 0.0432566 | − | 0.161436i | ||||
\(47\) | 8.51745 | − | 8.51745i | 1.24240 | − | 1.24240i | 0.283394 | − | 0.959003i | \(-0.408540\pi\) |
0.959003 | − | 0.283394i | \(-0.0914605\pi\) | |||||||
\(48\) | −0.563184 | − | 1.63793i | −0.0812886 | − | 0.236415i | ||||
\(49\) | −0.866025 | − | 0.500000i | −0.123718 | − | 0.0714286i | ||||
\(50\) | −0.00307230 | − | 0.0114660i | −0.000434489 | − | 0.00162153i | ||||
\(51\) | 4.26020 | + | 0.830035i | 0.596548 | + | 0.116228i | ||||
\(52\) | 2.40430 | + | 2.68688i | 0.333416 | + | 0.372604i | ||||
\(53\) | 1.61436i | 0.221750i | 0.993834 | + | 0.110875i | \(0.0353653\pi\) | ||||
−0.993834 | + | 0.110875i | \(0.964635\pi\) | |||||||
\(54\) | 4.93972 | + | 1.61219i | 0.672211 | + | 0.219391i | ||||
\(55\) | −5.57060 | + | 9.64856i | −0.751140 | + | 1.30101i | ||||
\(56\) | −0.500000 | − | 0.866025i | −0.0668153 | − | 0.115728i | ||||
\(57\) | 2.29076 | − | 1.54368i | 0.303418 | − | 0.204465i | ||||
\(58\) | 6.14540 | + | 1.64665i | 0.806931 | + | 0.216216i | ||||
\(59\) | −5.35382 | − | 1.43455i | −0.697007 | − | 0.186763i | −0.107118 | − | 0.994246i | \(-0.534162\pi\) |
−0.589890 | + | 0.807484i | \(0.700829\pi\) | |||||||
\(60\) | 3.21561 | − | 2.16691i | 0.415133 | − | 0.279746i | ||||
\(61\) | 1.56891 | + | 2.71743i | 0.200878 | + | 0.347931i | 0.948812 | − | 0.315843i | \(-0.102287\pi\) |
−0.747934 | + | 0.663774i | \(0.768954\pi\) | |||||||
\(62\) | −0.968212 | + | 1.67699i | −0.122963 | + | 0.212978i | ||||
\(63\) | 2.97732 | + | 0.368215i | 0.375107 | + | 0.0463907i | ||||
\(64\) | − | 1.00000i | − | 0.125000i | ||||||
\(65\) | −4.41711 | + | 6.75599i | −0.547875 | + | 0.837978i | ||||
\(66\) | −8.46062 | − | 1.64842i | −1.04143 | − | 0.202907i | ||||
\(67\) | −3.18853 | − | 11.8997i | −0.389540 | − | 1.45378i | −0.830884 | − | 0.556446i | \(-0.812165\pi\) |
0.441343 | − | 0.897338i | \(-0.354502\pi\) | |||||||
\(68\) | 2.17015 | + | 1.25294i | 0.263170 | + | 0.151941i | ||||
\(69\) | 0.638389 | + | 1.85666i | 0.0768530 | + | 0.223515i | ||||
\(70\) | 1.58301 | − | 1.58301i | 0.189206 | − | 0.189206i | ||||
\(71\) | −0.709782 | + | 2.64894i | −0.0842357 | + | 0.314372i | −0.995168 | − | 0.0981832i | \(-0.968697\pi\) |
0.910933 | + | 0.412555i | \(0.135364\pi\) | |||||||
\(72\) | 2.39433 | + | 1.80754i | 0.282174 | + | 0.213021i | ||||
\(73\) | 8.64213 | + | 8.64213i | 1.01148 | + | 1.01148i | 0.999933 | + | 0.0115511i | \(0.00367692\pi\) |
0.0115511 | + | 0.999933i | \(0.496323\pi\) | |||||||
\(74\) | −1.65527 | + | 0.955670i | −0.192421 | + | 0.111094i | ||||
\(75\) | 0.0155111 | + | 0.0134955i | 0.00179107 | + | 0.00155833i | ||||
\(76\) | 1.54049 | − | 0.412774i | 0.176707 | − | 0.0473485i | ||||
\(77\) | −4.97659 | −0.567135 | ||||||||
\(78\) | −6.05413 | − | 1.53215i | −0.685495 | − | 0.173482i | ||||
\(79\) | 17.5434 | 1.97379 | 0.986894 | − | 0.161370i | \(-0.0515912\pi\) | ||||
0.986894 | + | 0.161370i | \(0.0515912\pi\) | |||||||
\(80\) | 2.16244 | − | 0.579424i | 0.241768 | − | 0.0647815i | ||||
\(81\) | −8.65569 | + | 2.46559i | −0.961743 | + | 0.273954i | ||||
\(82\) | 3.02016 | − | 1.74369i | 0.333521 | − | 0.192558i | ||||
\(83\) | −4.87907 | − | 4.87907i | −0.535547 | − | 0.535547i | 0.386671 | − | 0.922218i | \(-0.373625\pi\) |
−0.922218 | + | 0.386671i | \(0.873625\pi\) | |||||||
\(84\) | 1.55642 | + | 0.759962i | 0.169820 | + | 0.0829187i | ||||
\(85\) | −1.45197 | + | 5.41881i | −0.157488 | + | 0.587752i | ||||
\(86\) | −5.55282 | + | 5.55282i | −0.598776 | + | 0.598776i | ||||
\(87\) | −10.4208 | + | 3.58308i | −1.11723 | + | 0.384146i | ||||
\(88\) | −4.30986 | − | 2.48830i | −0.459432 | − | 0.265253i | ||||
\(89\) | 1.28335 | + | 4.78954i | 0.136035 | + | 0.507690i | 0.999991 | + | 0.00412321i | \(0.00131246\pi\) |
−0.863956 | + | 0.503567i | \(0.832021\pi\) | |||||||
\(90\) | −2.52137 | + | 6.22491i | −0.265776 | + | 0.656163i | ||||
\(91\) | −3.60001 | − | 0.199816i | −0.377384 | − | 0.0209464i | ||||
\(92\) | 1.13354i | 0.118179i | ||||||||
\(93\) | −0.232498 | − | 3.34592i | −0.0241089 | − | 0.346956i | ||||
\(94\) | −6.02275 | + | 10.4317i | −0.621199 | + | 1.07595i | ||||
\(95\) | 1.78520 | + | 3.09205i | 0.183157 | + | 0.317238i | ||||
\(96\) | 0.967922 | + | 1.43636i | 0.0987881 | + | 0.146598i | ||||
\(97\) | −15.8815 | − | 4.25543i | −1.61252 | − | 0.432073i | −0.663727 | − | 0.747975i | \(-0.731026\pi\) |
−0.948792 | + | 0.315902i | \(0.897693\pi\) | |||||||
\(98\) | 0.965926 | + | 0.258819i | 0.0975732 | + | 0.0261447i | ||||
\(99\) | 13.7480 | − | 5.82150i | 1.38173 | − | 0.585082i | ||||
\(100\) | 0.00593523 | + | 0.0102801i | 0.000593523 | + | 0.00102801i | ||||
\(101\) | −2.68778 | + | 4.65537i | −0.267444 | + | 0.463226i | −0.968201 | − | 0.250174i | \(-0.919512\pi\) |
0.700757 | + | 0.713400i | \(0.252846\pi\) | |||||||
\(102\) | −4.32987 | + | 0.300869i | −0.428721 | + | 0.0297905i | ||||
\(103\) | − | 10.5077i | − | 1.03535i | −0.855577 | − | 0.517676i | \(-0.826797\pi\) | ||
0.855577 | − | 0.517676i | \(-0.173203\pi\) | |||||||
\(104\) | −3.01779 | − | 1.97305i | −0.295919 | − | 0.193474i | ||||
\(105\) | −0.741543 | + | 3.80601i | −0.0723672 | + | 0.371429i | ||||
\(106\) | −0.417828 | − | 1.55936i | −0.0405831 | − | 0.151458i | ||||
\(107\) | −14.0696 | − | 8.12308i | −1.36016 | − | 0.785288i | −0.370514 | − | 0.928827i | \(-0.620818\pi\) |
−0.989645 | + | 0.143539i | \(0.954152\pi\) | |||||||
\(108\) | −5.18867 | − | 0.278759i | −0.499280 | − | 0.0268236i | ||||
\(109\) | −8.50467 | + | 8.50467i | −0.814600 | + | 0.814600i | −0.985320 | − | 0.170720i | \(-0.945391\pi\) |
0.170720 | + | 0.985320i | \(0.445391\pi\) | |||||||
\(110\) | 2.88356 | − | 10.7616i | 0.274936 | − | 1.02608i | ||||
\(111\) | 1.45255 | − | 2.97486i | 0.137870 | − | 0.282361i | ||||
\(112\) | 0.707107 | + | 0.707107i | 0.0668153 | + | 0.0668153i | ||||
\(113\) | 0.529726 | − | 0.305837i | 0.0498324 | − | 0.0287707i | −0.474877 | − | 0.880052i | \(-0.657507\pi\) |
0.524709 | + | 0.851282i | \(0.324174\pi\) | |||||||
\(114\) | −1.81317 | + | 2.08397i | −0.169819 | + | 0.195182i | ||||
\(115\) | −2.45120 | + | 0.656797i | −0.228576 | + | 0.0612467i | ||||
\(116\) | −6.36219 | −0.590714 | ||||||||
\(117\) | 10.1789 | − | 3.65920i | 0.941041 | − | 0.338294i | ||||
\(118\) | 5.54268 | 0.510245 | ||||||||
\(119\) | −2.42049 | + | 0.648569i | −0.221886 | + | 0.0594542i | ||||
\(120\) | −2.54520 | + | 2.92533i | −0.232344 | + | 0.267045i | ||||
\(121\) | −11.9221 | + | 6.88324i | −1.08383 | + | 0.625749i | ||||
\(122\) | −2.21877 | − | 2.21877i | −0.200878 | − | 0.200878i | ||||
\(123\) | −2.65028 | + | 5.42784i | −0.238968 | + | 0.489412i | ||||
\(124\) | 0.501184 | − | 1.87044i | 0.0450076 | − | 0.167971i | ||||
\(125\) | 7.89628 | − | 7.89628i | 0.706265 | − | 0.706265i | ||||
\(126\) | −2.97117 | + | 0.414918i | −0.264693 | + | 0.0369639i | ||||
\(127\) | 3.09276 | + | 1.78561i | 0.274438 | + | 0.158447i | 0.630903 | − | 0.775862i | \(-0.282685\pi\) |
−0.356465 | + | 0.934309i | \(0.616018\pi\) | |||||||
\(128\) | 0.258819 | + | 0.965926i | 0.0228766 | + | 0.0853766i | ||||
\(129\) | 2.60115 | − | 13.3505i | 0.229018 | − | 1.17545i | ||||
\(130\) | 2.51802 | − | 7.66902i | 0.220845 | − | 0.672618i | ||||
\(131\) | − | 21.9639i | − | 1.91899i | −0.281722 | − | 0.959496i | \(-0.590906\pi\) | ||
0.281722 | − | 0.959496i | \(-0.409094\pi\) | |||||||
\(132\) | 8.59898 | − | 0.597517i | 0.748445 | − | 0.0520072i | ||||
\(133\) | −0.797419 | + | 1.38117i | −0.0691450 | + | 0.119763i | ||||
\(134\) | 6.15976 | + | 10.6690i | 0.532122 | + | 0.921662i | ||||
\(135\) | −2.40364 | − | 11.3817i | −0.206872 | − | 0.979581i | ||||
\(136\) | −2.42049 | − | 0.648569i | −0.207556 | − | 0.0556143i | ||||
\(137\) | 3.85986 | + | 1.03425i | 0.329770 | + | 0.0883616i | 0.419905 | − | 0.907568i | \(-0.362063\pi\) |
−0.0901352 | + | 0.995930i | \(0.528730\pi\) | |||||||
\(138\) | −1.09717 | − | 1.62816i | −0.0933976 | − | 0.138599i | ||||
\(139\) | −5.62224 | − | 9.73800i | −0.476872 | − | 0.825966i | 0.522777 | − | 0.852470i | \(-0.324896\pi\) |
−0.999649 | + | 0.0265031i | \(0.991563\pi\) | |||||||
\(140\) | −1.11936 | + | 1.93879i | −0.0946032 | + | 0.163858i | ||||
\(141\) | −1.44625 | − | 20.8132i | −0.121796 | − | 1.75279i | ||||
\(142\) | − | 2.74239i | − | 0.230136i | ||||||
\(143\) | −16.0127 | + | 8.09671i | −1.33905 | + | 0.677081i | ||||
\(144\) | −2.78057 | − | 1.12625i | −0.231714 | − | 0.0938545i | ||||
\(145\) | −3.68640 | − | 13.7578i | −0.306139 | − | 1.14253i | ||||
\(146\) | −10.5844 | − | 6.11091i | −0.875971 | − | 0.505742i | ||||
\(147\) | −1.63793 | + | 0.563184i | −0.135094 | + | 0.0464506i | ||||
\(148\) | 1.35152 | − | 1.35152i | 0.111094 | − | 0.111094i | ||||
\(149\) | 1.48620 | − | 5.54659i | 0.121755 | − | 0.454394i | −0.877949 | − | 0.478755i | \(-0.841088\pi\) |
0.999703 | + | 0.0243606i | \(0.00775498\pi\) | |||||||
\(150\) | −0.0184755 | − | 0.00902110i | −0.00150852 | − | 0.000736570i | ||||
\(151\) | 4.76868 | + | 4.76868i | 0.388070 | + | 0.388070i | 0.873998 | − | 0.485929i | \(-0.161519\pi\) |
−0.485929 | + | 0.873998i | \(0.661519\pi\) | |||||||
\(152\) | −1.38117 | + | 0.797419i | −0.112028 | + | 0.0646792i | ||||
\(153\) | 5.92803 | − | 4.62313i | 0.479253 | − | 0.373758i | ||||
\(154\) | 4.80702 | − | 1.28804i | 0.387361 | − | 0.103793i | ||||
\(155\) | 4.33511 | 0.348205 | ||||||||
\(156\) | 6.24439 | − | 0.0869777i | 0.499952 | − | 0.00696379i | ||||
\(157\) | −3.72232 | −0.297074 | −0.148537 | − | 0.988907i | \(-0.547456\pi\) | ||||
−0.148537 | + | 0.988907i | \(0.547456\pi\) | |||||||
\(158\) | −16.9456 | + | 4.54057i | −1.34812 | + | 0.361228i | ||||
\(159\) | 2.10949 | + | 1.83537i | 0.167293 | + | 0.145554i | ||||
\(160\) | −1.93879 | + | 1.11936i | −0.153275 | + | 0.0884932i | ||||
\(161\) | −0.801531 | − | 0.801531i | −0.0631695 | − | 0.0631695i | ||||
\(162\) | 7.72261 | − | 4.62183i | 0.606746 | − | 0.363125i | ||||
\(163\) | −0.0370686 | + | 0.138342i | −0.00290343 | + | 0.0108358i | −0.967362 | − | 0.253397i | \(-0.918452\pi\) |
0.964459 | + | 0.264233i | \(0.0851187\pi\) | |||||||
\(164\) | −2.46595 | + | 2.46595i | −0.192558 | + | 0.192558i | ||||
\(165\) | 6.27454 | + | 18.2485i | 0.488473 | + | 1.42065i | ||||
\(166\) | 5.97561 | + | 3.45002i | 0.463798 | + | 0.267774i | ||||
\(167\) | 0.947784 | + | 3.53718i | 0.0733418 | + | 0.273715i | 0.992852 | − | 0.119350i | \(-0.0380812\pi\) |
−0.919510 | + | 0.393066i | \(0.871415\pi\) | |||||||
\(168\) | −1.70008 | − | 0.331235i | −0.131164 | − | 0.0255553i | ||||
\(169\) | −11.9085 | + | 5.21414i | −0.916040 | + | 0.401088i | ||||
\(170\) | − | 5.60996i | − | 0.430264i | ||||||
\(171\) | 0.587242 | − | 4.74834i | 0.0449075 | − | 0.363114i | ||||
\(172\) | 3.92644 | − | 6.80079i | 0.299388 | − | 0.518556i | ||||
\(173\) | −5.32718 | − | 9.22695i | −0.405018 | − | 0.701512i | 0.589306 | − | 0.807910i | \(-0.299401\pi\) |
−0.994324 | + | 0.106399i | \(0.966068\pi\) | |||||||
\(174\) | 9.13838 | − | 6.15810i | 0.692779 | − | 0.466844i | ||||
\(175\) | −0.0114660 | − | 0.00307230i | −0.000866747 | − | 0.000232244i | ||||
\(176\) | 4.80702 | + | 1.28804i | 0.362343 | + | 0.0970894i | ||||
\(177\) | −7.96128 | + | 5.36488i | −0.598406 | + | 0.403249i | ||||
\(178\) | −2.47925 | − | 4.29418i | −0.185827 | − | 0.321862i | ||||
\(179\) | −5.67227 | + | 9.82466i | −0.423966 | + | 0.734330i | −0.996323 | − | 0.0856742i | \(-0.972696\pi\) |
0.572358 | + | 0.820004i | \(0.306029\pi\) | |||||||
\(180\) | 0.824330 | − | 6.66538i | 0.0614419 | − | 0.496808i | ||||
\(181\) | 21.0789i | 1.56678i | 0.621528 | + | 0.783392i | \(0.286512\pi\) | ||||
−0.621528 | + | 0.783392i | \(0.713488\pi\) | |||||||
\(182\) | 3.52906 | − | 0.738744i | 0.261591 | − | 0.0547593i | ||||
\(183\) | 5.33455 | + | 1.03935i | 0.394341 | + | 0.0768313i | ||||
\(184\) | −0.293381 | − | 1.09491i | −0.0216283 | − | 0.0807179i | ||||
\(185\) | 3.70568 | + | 2.13948i | 0.272447 | + | 0.157298i | ||||
\(186\) | 1.09056 | + | 3.17173i | 0.0799639 | + | 0.232563i | ||||
\(187\) | −8.81814 | + | 8.81814i | −0.644847 | + | 0.644847i | ||||
\(188\) | 3.11760 | − | 11.6351i | 0.227375 | − | 0.848573i | ||||
\(189\) | 3.86606 | − | 3.47183i | 0.281214 | − | 0.252539i | ||||
\(190\) | −2.52465 | − | 2.52465i | −0.183157 | − | 0.183157i | ||||
\(191\) | −12.3423 | + | 7.12581i | −0.893055 | + | 0.515606i | −0.874941 | − | 0.484230i | \(-0.839100\pi\) |
−0.0181148 | + | 0.999836i | \(0.505766\pi\) | |||||||
\(192\) | −1.30670 | − | 1.13690i | −0.0943028 | − | 0.0820487i | ||||
\(193\) | −23.8028 | + | 6.37795i | −1.71337 | + | 0.459095i | −0.976246 | − | 0.216667i | \(-0.930482\pi\) |
−0.737120 | + | 0.675762i | \(0.763815\pi\) | |||||||
\(194\) | 16.4417 | 1.18045 | ||||||||
\(195\) | 3.80623 | + | 13.4527i | 0.272570 | + | 0.963369i | ||||
\(196\) | −1.00000 | −0.0714286 | ||||||||
\(197\) | 12.8235 | − | 3.43606i | 0.913639 | − | 0.244809i | 0.228775 | − | 0.973479i | \(-0.426528\pi\) |
0.684865 | + | 0.728670i | \(0.259861\pi\) | |||||||
\(198\) | −11.7729 | + | 9.18139i | −0.836661 | + | 0.652493i | ||||
\(199\) | 10.9034 | − | 6.29510i | 0.772924 | − | 0.446248i | −0.0609926 | − | 0.998138i | \(-0.519427\pi\) |
0.833917 | + | 0.551890i | \(0.186093\pi\) | |||||||
\(200\) | −0.00839368 | − | 0.00839368i | −0.000593523 | − | 0.000593523i | ||||
\(201\) | −19.1744 | − | 9.36237i | −1.35246 | − | 0.660371i | ||||
\(202\) | 1.39130 | − | 5.19239i | 0.0978912 | − | 0.365335i | ||||
\(203\) | 4.49875 | − | 4.49875i | 0.315750 | − | 0.315750i | ||||
\(204\) | 4.10446 | − | 1.41127i | 0.287370 | − | 0.0988087i | ||||
\(205\) | −6.76130 | − | 3.90364i | −0.472229 | − | 0.272642i | ||||
\(206\) | 2.71958 | + | 10.1496i | 0.189482 | + | 0.707158i | ||||
\(207\) | 3.15187 | + | 1.27665i | 0.219070 | + | 0.0887333i | ||||
\(208\) | 3.42563 | + | 1.12476i | 0.237524 | + | 0.0779880i | ||||
\(209\) | 7.93686i | 0.549004i | ||||||||
\(210\) | −0.268793 | − | 3.86825i | −0.0185485 | − | 0.266935i | ||||
\(211\) | −13.5521 | + | 23.4730i | −0.932967 | + | 1.61595i | −0.154748 | + | 0.987954i | \(0.549456\pi\) |
−0.778219 | + | 0.627992i | \(0.783877\pi\) | |||||||
\(212\) | 0.807182 | + | 1.39808i | 0.0554375 | + | 0.0960205i | ||||
\(213\) | 2.65442 | + | 3.93905i | 0.181878 | + | 0.269900i | ||||
\(214\) | 15.6926 | + | 4.20482i | 1.07272 | + | 0.287435i | ||||
\(215\) | 16.9814 | + | 4.55014i | 1.15812 | + | 0.310317i | ||||
\(216\) | 5.08402 | − | 1.07367i | 0.345924 | − | 0.0730537i | ||||
\(217\) | 0.968212 | + | 1.67699i | 0.0657265 | + | 0.113842i | ||||
\(218\) | 6.01371 | − | 10.4161i | 0.407300 | − | 0.705464i | ||||
\(219\) | 21.1179 | − | 1.46742i | 1.42701 | − | 0.0991589i | ||||
\(220\) | 11.1412i | 0.751140i | ||||||||
\(221\) | −6.73300 | + | 6.02488i | −0.452911 | + | 0.405278i | ||||
\(222\) | −0.633103 | + | 3.24944i | −0.0424911 | + | 0.218088i | ||||
\(223\) | −2.15953 | − | 8.05949i | −0.144613 | − | 0.539704i | −0.999772 | − | 0.0213380i | \(-0.993207\pi\) |
0.855159 | − | 0.518365i | \(-0.173459\pi\) | |||||||
\(224\) | −0.866025 | − | 0.500000i | −0.0578638 | − | 0.0334077i | ||||
\(225\) | 0.0352691 | − | 0.00492527i | 0.00235127 | − | 0.000328351i | ||||
\(226\) | −0.432519 | + | 0.432519i | −0.0287707 | + | 0.0287707i | ||||
\(227\) | 3.42193 | − | 12.7708i | 0.227121 | − | 0.847628i | −0.754422 | − | 0.656389i | \(-0.772083\pi\) |
0.981544 | − | 0.191239i | \(-0.0612504\pi\) | |||||||
\(228\) | 1.21202 | − | 2.48224i | 0.0802677 | − | 0.164391i | ||||
\(229\) | −16.1525 | − | 16.1525i | −1.06739 | − | 1.06739i | −0.997559 | − | 0.0698266i | \(-0.977755\pi\) |
−0.0698266 | − | 0.997559i | \(-0.522245\pi\) | |||||||
\(230\) | 2.19769 | − | 1.26883i | 0.144911 | − | 0.0836645i | ||||
\(231\) | −5.65789 | + | 6.50290i | −0.372262 | + | 0.427860i | ||||
\(232\) | 6.14540 | − | 1.64665i | 0.403465 | − | 0.108108i | ||||
\(233\) | 2.62536 | 0.171993 | 0.0859967 | − | 0.996295i | \(-0.472593\pi\) | ||||
0.0859967 | + | 0.996295i | \(0.472593\pi\) | |||||||
\(234\) | −8.88500 | + | 6.16902i | −0.580831 | + | 0.403281i | ||||
\(235\) | 26.9665 | 1.75910 | ||||||||
\(236\) | −5.35382 | + | 1.43455i | −0.348504 | + | 0.0933813i | ||||
\(237\) | 19.9451 | − | 22.9239i | 1.29557 | − | 1.48907i | ||||
\(238\) | 2.17015 | − | 1.25294i | 0.140670 | − | 0.0812160i | ||||
\(239\) | 19.2179 | + | 19.2179i | 1.24310 | + | 1.24310i | 0.958708 | + | 0.284393i | \(0.0917920\pi\) |
0.284393 | + | 0.958708i | \(0.408208\pi\) | |||||||
\(240\) | 1.70134 | − | 3.48440i | 0.109821 | − | 0.224917i | ||||
\(241\) | 2.64967 | − | 9.88872i | 0.170681 | − | 0.636988i | −0.826567 | − | 0.562839i | \(-0.809709\pi\) |
0.997247 | − | 0.0741495i | \(-0.0236242\pi\) | |||||||
\(242\) | 9.73437 | − | 9.73437i | 0.625749 | − | 0.625749i | ||||
\(243\) | −6.61887 | + | 14.1135i | −0.424601 | + | 0.905381i | ||||
\(244\) | 2.71743 | + | 1.56891i | 0.173965 | + | 0.100439i | ||||
\(245\) | −0.579424 | − | 2.16244i | −0.0370180 | − | 0.138153i | ||||
\(246\) | 1.15514 | − | 5.92884i | 0.0736492 | − | 0.378009i | ||||
\(247\) | −0.318674 | + | 5.74143i | −0.0202768 | + | 0.365318i | ||||
\(248\) | 1.93642i | 0.122963i | ||||||||
\(249\) | −11.9225 | + | 0.828457i | −0.755556 | + | 0.0525013i | ||||
\(250\) | −5.58351 | + | 9.67093i | −0.353132 | + | 0.611643i | ||||
\(251\) | 10.0300 | + | 17.3724i | 0.633087 | + | 1.09654i | 0.986917 | + | 0.161229i | \(0.0515457\pi\) |
−0.353830 | + | 0.935310i | \(0.615121\pi\) | |||||||
\(252\) | 2.76254 | − | 1.16978i | 0.174024 | − | 0.0736889i | ||||
\(253\) | −5.44893 | − | 1.46004i | −0.342571 | − | 0.0917917i | ||||
\(254\) | −3.44953 | − | 0.924299i | −0.216443 | − | 0.0579956i | ||||
\(255\) | 5.43001 | + | 8.05792i | 0.340040 | + | 0.504607i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 9.14621 | − | 15.8417i | 0.570525 | − | 0.988178i | −0.425987 | − | 0.904729i | \(-0.640073\pi\) |
0.996512 | − | 0.0834485i | \(-0.0265934\pi\) | |||||||
\(258\) | 0.942859 | + | 13.5689i | 0.0586999 | + | 0.844761i | ||||
\(259\) | 1.91134i | 0.118765i | ||||||||
\(260\) | −0.447333 | + | 8.05942i | −0.0277424 | + | 0.499824i | ||||
\(261\) | −7.16544 | + | 17.6905i | −0.443530 | + | 1.09501i | ||||
\(262\) | 5.68467 | + | 21.2155i | 0.351200 | + | 1.31070i | ||||
\(263\) | −24.5608 | − | 14.1802i | −1.51449 | − | 0.874389i | −0.999856 | − | 0.0169770i | \(-0.994596\pi\) |
−0.514630 | − | 0.857412i | \(-0.672071\pi\) | |||||||
\(264\) | −8.15133 | + | 2.80274i | −0.501679 | + | 0.172496i | ||||
\(265\) | −2.55556 | + | 2.55556i | −0.156987 | + | 0.156987i | ||||
\(266\) | 0.412774 | − | 1.54049i | 0.0253088 | − | 0.0944538i | ||||
\(267\) | 7.71752 | + | 3.76827i | 0.472304 | + | 0.230614i | ||||
\(268\) | −8.71121 | − | 8.71121i | −0.532122 | − | 0.532122i | ||||
\(269\) | −7.67274 | + | 4.42986i | −0.467815 | + | 0.270093i | −0.715325 | − | 0.698792i | \(-0.753721\pi\) |
0.247510 | + | 0.968885i | \(0.420388\pi\) | |||||||
\(270\) | 5.26754 | + | 10.3718i | 0.320572 | + | 0.631206i | ||||
\(271\) | 20.9937 | − | 5.62524i | 1.27527 | − | 0.341709i | 0.443225 | − | 0.896410i | \(-0.353834\pi\) |
0.832049 | + | 0.554701i | \(0.187168\pi\) | |||||||
\(272\) | 2.50588 | 0.151941 | ||||||||
\(273\) | −4.35395 | + | 4.47695i | −0.263513 | + | 0.270958i | ||||
\(274\) | −3.99602 | −0.241408 | ||||||||
\(275\) | −0.0570615 | + | 0.0152896i | −0.00344094 | + | 0.000921997i | ||||
\(276\) | 1.48119 | + | 1.28872i | 0.0891571 | + | 0.0775716i | ||||
\(277\) | −5.24317 | + | 3.02715i | −0.315032 | + | 0.181884i | −0.649176 | − | 0.760638i | \(-0.724886\pi\) |
0.334144 | + | 0.942522i | \(0.391553\pi\) | |||||||
\(278\) | 7.95104 | + | 7.95104i | 0.476872 | + | 0.476872i | ||||
\(279\) | −4.63643 | − | 3.50017i | −0.277576 | − | 0.209550i | ||||
\(280\) | 0.579424 | − | 2.16244i | 0.0346272 | − | 0.129230i | ||||
\(281\) | −3.97123 | + | 3.97123i | −0.236904 | + | 0.236904i | −0.815567 | − | 0.578663i | \(-0.803575\pi\) |
0.578663 | + | 0.815567i | \(0.303575\pi\) | |||||||
\(282\) | 6.78383 | + | 19.7297i | 0.403971 | + | 1.17489i | ||||
\(283\) | 5.01459 | + | 2.89518i | 0.298087 | + | 0.172100i | 0.641583 | − | 0.767054i | \(-0.278278\pi\) |
−0.343496 | + | 0.939154i | \(0.611611\pi\) | |||||||
\(284\) | 0.709782 | + | 2.64894i | 0.0421178 | + | 0.157186i | ||||
\(285\) | 6.06997 | + | 1.18264i | 0.359554 | + | 0.0700535i | ||||
\(286\) | 13.3715 | − | 11.9652i | 0.790675 | − | 0.707519i | ||||
\(287\) | − | 3.48738i | − | 0.205854i | ||||||
\(288\) | 2.97732 | + | 0.368215i | 0.175440 | + | 0.0216972i | ||||
\(289\) | 5.36029 | − | 9.28429i | 0.315311 | − | 0.546135i | ||||
\(290\) | 7.12158 | + | 12.3349i | 0.418194 | + | 0.724332i | ||||
\(291\) | −23.6162 | + | 15.9143i | −1.38441 | + | 0.932912i | ||||
\(292\) | 11.8054 | + | 3.16324i | 0.690857 | + | 0.185114i | ||||
\(293\) | 25.7752 | + | 6.90644i | 1.50580 | + | 0.403478i | 0.915038 | − | 0.403367i | \(-0.132160\pi\) |
0.590763 | + | 0.806845i | \(0.298827\pi\) | |||||||
\(294\) | 1.43636 | − | 0.967922i | 0.0837702 | − | 0.0564504i | ||||
\(295\) | −6.20425 | − | 10.7461i | −0.361226 | − | 0.625661i | ||||
\(296\) | −0.955670 | + | 1.65527i | −0.0555472 | + | 0.0962105i | ||||
\(297\) | 8.02320 | − | 24.5830i | 0.465553 | − | 1.42645i | ||||
\(298\) | 5.74225i | 0.332640i | ||||||||
\(299\) | −3.88307 | − | 1.27495i | −0.224564 | − | 0.0737325i | ||||
\(300\) | 0.0201808 | + | 0.00393191i | 0.00116514 | + | 0.000227009i | ||||
\(301\) | 2.03247 | + | 7.58530i | 0.117150 | + | 0.437209i | ||||
\(302\) | −5.84042 | − | 3.37197i | −0.336078 | − | 0.194035i | ||||
\(303\) | 3.02742 | + | 8.80480i | 0.173921 | + | 0.505822i | ||||
\(304\) | 1.12772 | − | 1.12772i | 0.0646792 | − | 0.0646792i | ||||
\(305\) | −1.81812 | + | 6.78533i | −0.104105 | + | 0.388527i | ||||
\(306\) | −4.52948 | + | 5.99989i | −0.258933 | + | 0.342991i | ||||
\(307\) | 11.6341 | + | 11.6341i | 0.663995 | + | 0.663995i | 0.956319 | − | 0.292324i | \(-0.0944287\pi\) |
−0.292324 | + | 0.956319i | \(0.594429\pi\) | |||||||
\(308\) | −4.30986 | + | 2.48830i | −0.245577 | + | 0.141784i | ||||
\(309\) | −13.7303 | − | 11.9462i | −0.781092 | − | 0.679593i | ||||
\(310\) | −4.18740 | + | 1.12201i | −0.237828 | + | 0.0637259i | ||||
\(311\) | 32.9657 | 1.86931 | 0.934656 | − | 0.355554i | \(-0.115708\pi\) | ||||
0.934656 | + | 0.355554i | \(0.115708\pi\) | |||||||
\(312\) | −6.00911 | + | 1.70018i | −0.340199 | + | 0.0962538i | ||||
\(313\) | 0.469408 | 0.0265325 | 0.0132663 | − | 0.999912i | \(-0.495777\pi\) | ||||
0.0132663 | + | 0.999912i | \(0.495777\pi\) | |||||||
\(314\) | 3.59549 | − | 0.963408i | 0.202905 | − | 0.0543682i | ||||
\(315\) | 4.13025 | + | 5.29603i | 0.232713 | + | 0.298397i | ||||
\(316\) | 15.1930 | − | 8.77171i | 0.854675 | − | 0.493447i | ||||
\(317\) | 8.07451 | + | 8.07451i | 0.453510 | + | 0.453510i | 0.896518 | − | 0.443008i | \(-0.146089\pi\) |
−0.443008 | + | 0.896518i | \(0.646089\pi\) | |||||||
\(318\) | −2.51264 | − | 1.22686i | −0.140902 | − | 0.0687987i | ||||
\(319\) | 8.19473 | − | 30.5832i | 0.458817 | − | 1.71233i | ||||
\(320\) | 1.58301 | − | 1.58301i | 0.0884932 | − | 0.0884932i | ||||
\(321\) | −26.6101 | + | 9.14957i | −1.48523 | + | 0.510679i | ||||
\(322\) | 0.981671 | + | 0.566768i | 0.0547064 | + | 0.0315847i | ||||
\(323\) | 1.03436 | + | 3.86029i | 0.0575535 | + | 0.214792i | ||||
\(324\) | −6.26325 | + | 6.46310i | −0.347958 | + | 0.359061i | ||||
\(325\) | −0.0418915 | + | 0.00876922i | −0.00232372 | + | 0.000486429i | ||||
\(326\) | − | 0.143222i | − | 0.00793233i | ||||||
\(327\) | 1.44408 | + | 20.7820i | 0.0798577 | + | 1.14925i | ||||
\(328\) | 1.74369 | − | 3.02016i | 0.0962792 | − | 0.166760i | ||||
\(329\) | 6.02275 | + | 10.4317i | 0.332045 | + | 0.575118i | ||||
\(330\) | −10.7838 | − | 16.0028i | −0.593629 | − | 0.880923i | ||||
\(331\) | −14.9180 | − | 3.99725i | −0.819965 | − | 0.219709i | −0.175634 | − | 0.984456i | \(-0.556198\pi\) |
−0.644331 | + | 0.764747i | \(0.722864\pi\) | |||||||
\(332\) | −6.66493 | − | 1.78586i | −0.365786 | − | 0.0980120i | ||||
\(333\) | −2.23584 | − | 5.28015i | −0.122523 | − | 0.289350i | ||||
\(334\) | −1.83098 | − | 3.17135i | −0.100187 | − | 0.173528i | ||||
\(335\) | 13.7900 | − | 23.8849i | 0.753427 | − | 1.30497i | ||||
\(336\) | 1.72788 | − | 0.120065i | 0.0942638 | − | 0.00655011i | ||||
\(337\) | − | 21.9719i | − | 1.19688i | −0.801166 | − | 0.598442i | \(-0.795787\pi\) | ||
0.801166 | − | 0.598442i | \(-0.204213\pi\) | |||||||
\(338\) | 10.1532 | − | 8.11862i | 0.552263 | − | 0.441595i | ||||
\(339\) | 0.202608 | − | 1.03990i | 0.0110042 | − | 0.0564795i | ||||
\(340\) | 1.45197 | + | 5.41881i | 0.0787439 | + | 0.293876i | ||||
\(341\) | 8.34571 | + | 4.81840i | 0.451946 | + | 0.260931i | ||||
\(342\) | 0.661727 | + | 4.73853i | 0.0357821 | + | 0.256230i | ||||
\(343\) | 0.707107 | − | 0.707107i | 0.0381802 | − | 0.0381802i | ||||
\(344\) | −2.03247 | + | 7.58530i | −0.109584 | + | 0.408972i | ||||
\(345\) | −1.92853 | + | 3.94969i | −0.103829 | + | 0.212644i | ||||
\(346\) | 7.53377 | + | 7.53377i | 0.405018 | + | 0.405018i | ||||
\(347\) | 23.4175 | − | 13.5201i | 1.25712 | − | 0.725798i | 0.284606 | − | 0.958645i | \(-0.408137\pi\) |
0.972514 | + | 0.232846i | \(0.0748038\pi\) | |||||||
\(348\) | −7.23317 | + | 8.31346i | −0.387738 | + | 0.445648i | ||||
\(349\) | 10.1686 | − | 2.72467i | 0.544313 | − | 0.145848i | 0.0238236 | − | 0.999716i | \(-0.492416\pi\) |
0.520490 | + | 0.853868i | \(0.325749\pi\) | |||||||
\(350\) | 0.0118705 | 0.000634503 | ||||||||
\(351\) | 6.79093 | − | 17.4609i | 0.362473 | − | 0.931994i | ||||
\(352\) | −4.97659 | −0.265253 | ||||||||
\(353\) | −24.4009 | + | 6.53820i | −1.29873 | + | 0.347993i | −0.840969 | − | 0.541083i | \(-0.818015\pi\) |
−0.457759 | + | 0.889076i | \(0.651348\pi\) | |||||||
\(354\) | 6.30147 | − | 7.24261i | 0.334919 | − | 0.384940i | ||||
\(355\) | −5.31691 | + | 3.06972i | −0.282192 | + | 0.162924i | ||||
\(356\) | 3.50618 | + | 3.50618i | 0.185827 | + | 0.185827i | ||||
\(357\) | −1.90437 | + | 3.90021i | −0.100790 | + | 0.206421i | ||||
\(358\) | 2.93618 | − | 10.9580i | 0.155182 | − | 0.579148i | ||||
\(359\) | −10.0644 | + | 10.0644i | −0.531180 | + | 0.531180i | −0.920923 | − | 0.389744i | \(-0.872564\pi\) |
0.389744 | + | 0.920923i | \(0.372564\pi\) | |||||||
\(360\) | 0.928887 | + | 6.65162i | 0.0489566 | + | 0.350571i | ||||
\(361\) | −14.2517 | − | 8.22825i | −0.750092 | − | 0.433066i | ||||
\(362\) | −5.45563 | − | 20.3607i | −0.286741 | − | 1.07013i | ||||
\(363\) | −4.55994 | + | 23.4042i | −0.239335 | + | 1.22840i | ||||
\(364\) | −3.21761 | + | 1.62696i | −0.168649 | + | 0.0852758i | ||||
\(365\) | 27.3612i | 1.43215i | ||||||||
\(366\) | −5.42178 | + | 0.376743i | −0.283401 | + | 0.0196927i | ||||
\(367\) | 10.9933 | − | 19.0409i | 0.573845 | − | 0.993929i | −0.422321 | − | 0.906446i | \(-0.638784\pi\) |
0.996166 | − | 0.0874825i | \(-0.0278822\pi\) | |||||||
\(368\) | 0.566768 | + | 0.981671i | 0.0295448 | + | 0.0511731i | ||||
\(369\) | 4.07945 | + | 9.63403i | 0.212368 | + | 0.501527i | ||||
\(370\) | −4.13315 | − | 1.10747i | −0.214872 | − | 0.0575749i | ||||
\(371\) | −1.55936 | − | 0.417828i | −0.0809577 | − | 0.0216926i | ||||
\(372\) | −1.87431 | − | 2.78140i | −0.0971783 | − | 0.144209i | ||||
\(373\) | 4.13080 | + | 7.15475i | 0.213885 | + | 0.370459i | 0.952927 | − | 0.303200i | \(-0.0980550\pi\) |
−0.739042 | + | 0.673659i | \(0.764722\pi\) | |||||||
\(374\) | 6.23537 | − | 10.8000i | 0.322423 | − | 0.558453i | ||||
\(375\) | −1.34077 | − | 19.2953i | −0.0692373 | − | 0.996407i | ||||
\(376\) | 12.0455i | 0.621199i | ||||||||
\(377\) | 7.15592 | − | 21.7945i | 0.368549 | − | 1.12247i | ||||
\(378\) | −2.83575 | + | 4.35414i | −0.145855 | + | 0.223953i | ||||
\(379\) | 7.14022 | + | 26.6477i | 0.366769 | + | 1.36880i | 0.865007 | + | 0.501759i | \(0.167314\pi\) |
−0.498239 | + | 0.867040i | \(0.666020\pi\) | |||||||
\(380\) | 3.09205 | + | 1.78520i | 0.158619 | + | 0.0915787i | ||||
\(381\) | 5.84941 | − | 2.01125i | 0.299674 | − | 0.103039i | ||||
\(382\) | 10.0774 | − | 10.0774i | 0.515606 | − | 0.515606i | ||||
\(383\) | 8.42594 | − | 31.4460i | 0.430545 | − | 1.60682i | −0.320962 | − | 0.947092i | \(-0.604006\pi\) |
0.751507 | − | 0.659725i | \(-0.229327\pi\) | |||||||
\(384\) | 1.55642 | + | 0.759962i | 0.0794260 | + | 0.0387817i | ||||
\(385\) | −7.87802 | − | 7.87802i | −0.401501 | − | 0.401501i | ||||
\(386\) | 21.3410 | − | 12.3213i | 1.08623 | − | 0.627135i | ||||
\(387\) | −14.4879 | − | 18.5771i | −0.736461 | − | 0.944329i | ||||
\(388\) | −15.8815 | + | 4.25543i | −0.806260 | + | 0.216037i | ||||
\(389\) | −8.73060 | −0.442659 | −0.221330 | − | 0.975199i | \(-0.571040\pi\) | ||||
−0.221330 | + | 0.975199i | \(0.571040\pi\) | |||||||
\(390\) | −7.15836 | − | 12.0092i | −0.362477 | − | 0.608109i | ||||
\(391\) | −2.84050 | −0.143650 | ||||||||
\(392\) | 0.965926 | − | 0.258819i | 0.0487866 | − | 0.0130723i | ||||
\(393\) | −28.7001 | − | 24.9707i | −1.44773 | − | 1.25961i | ||||
\(394\) | −11.4973 | + | 6.63795i | −0.579224 | + | 0.334415i | ||||
\(395\) | 27.7715 | + | 27.7715i | 1.39733 | + | 1.39733i | ||||
\(396\) | 8.99540 | − | 11.9156i | 0.452036 | − | 0.598781i | ||||
\(397\) | −0.479393 | + | 1.78912i | −0.0240600 | + | 0.0897933i | −0.976912 | − | 0.213643i | \(-0.931467\pi\) |
0.952852 | + | 0.303436i | \(0.0981338\pi\) | |||||||
\(398\) | −8.90262 | + | 8.90262i | −0.446248 | + | 0.446248i | ||||
\(399\) | 0.898186 | + | 2.61224i | 0.0449656 | + | 0.130775i | ||||
\(400\) | 0.0102801 | + | 0.00593523i | 0.000514006 | + | 0.000296761i | ||||
\(401\) | 4.16963 | + | 15.5613i | 0.208221 | + | 0.777093i | 0.988443 | + | 0.151590i | \(0.0484394\pi\) |
−0.780222 | + | 0.625503i | \(0.784894\pi\) | |||||||
\(402\) | 20.9442 | + | 4.08066i | 1.04460 | + | 0.203525i | ||||
\(403\) | 5.84373 | + | 3.82066i | 0.291097 | + | 0.190321i | ||||
\(404\) | 5.37555i | 0.267444i | ||||||||
\(405\) | −17.6051 | − | 9.79902i | −0.874806 | − | 0.486917i | ||||
\(406\) | −3.18109 | + | 5.50981i | −0.157875 | + | 0.273448i | ||||
\(407\) | 4.75598 | + | 8.23760i | 0.235745 | + | 0.408323i | ||||
\(408\) | −3.59934 | + | 2.42549i | −0.178194 | + | 0.120080i | ||||
\(409\) | −4.38075 | − | 1.17382i | −0.216614 | − | 0.0580416i | 0.148880 | − | 0.988855i | \(-0.452433\pi\) |
−0.365494 | + | 0.930814i | \(0.619100\pi\) | |||||||
\(410\) | 7.54124 | + | 2.02067i | 0.372436 | + | 0.0997938i | ||||
\(411\) | 5.73972 | − | 3.86784i | 0.283120 | − | 0.190786i | ||||
\(412\) | −5.25383 | − | 9.09991i | −0.258838 | − | 0.448320i | ||||
\(413\) | 2.77134 | − | 4.80010i | 0.136369 | − | 0.236197i | ||||
\(414\) | −3.37489 | − | 0.417384i | −0.165867 | − | 0.0205133i | ||||
\(415\) | − | 15.4473i | − | 0.758277i | ||||||
\(416\) | −3.60001 | − | 0.199816i | −0.176505 | − | 0.00979679i | ||||
\(417\) | −19.1165 | − | 3.72456i | −0.936141 | − | 0.182393i | ||||
\(418\) | −2.05421 | − | 7.66641i | −0.100475 | − | 0.374977i | ||||
\(419\) | −27.3709 | − | 15.8026i | −1.33716 | − | 0.772008i | −0.350772 | − | 0.936461i | \(-0.614081\pi\) |
−0.986385 | + | 0.164453i | \(0.947414\pi\) | |||||||
\(420\) | 1.26081 | + | 3.66687i | 0.0615213 | + | 0.178925i | ||||
\(421\) | −7.48230 | + | 7.48230i | −0.364665 | + | 0.364665i | −0.865527 | − | 0.500862i | \(-0.833016\pi\) |
0.500862 | + | 0.865527i | \(0.333016\pi\) | |||||||
\(422\) | 7.01510 | − | 26.1807i | 0.341490 | − | 1.27446i | ||||
\(423\) | −28.8408 | − | 21.7727i | −1.40229 | − | 1.05863i | ||||
\(424\) | −1.14153 | − | 1.14153i | −0.0554375 | − | 0.0554375i | ||||
\(425\) | −0.0257607 | + | 0.0148730i | −0.00124958 | + | 0.000721445i | ||||
\(426\) | −3.58347 | − | 3.11782i | −0.173620 | − | 0.151059i | ||||
\(427\) | −3.03090 | + | 0.812126i | −0.146675 | + | 0.0393015i | ||||
\(428\) | −16.2462 | −0.785288 | ||||||||
\(429\) | −7.62490 | + | 30.1289i | −0.368134 | + | 1.45464i | ||||
\(430\) | −17.5804 | −0.847802 | ||||||||
\(431\) | −28.2946 | + | 7.58152i | −1.36290 | + | 0.365189i | −0.864882 | − | 0.501976i | \(-0.832607\pi\) |
−0.498021 | + | 0.867165i | \(0.665940\pi\) | |||||||
\(432\) | −4.63290 | + | 2.35292i | −0.222900 | + | 0.113205i | ||||
\(433\) | 1.27868 | − | 0.738247i | 0.0614495 | − | 0.0354779i | −0.468960 | − | 0.883219i | \(-0.655371\pi\) |
0.530410 | + | 0.847741i | \(0.322038\pi\) | |||||||
\(434\) | −1.36926 | − | 1.36926i | −0.0657265 | − | 0.0657265i | ||||
\(435\) | −22.1684 | − | 10.8243i | −1.06289 | − | 0.518984i | ||||
\(436\) | −3.11293 | + | 11.6176i | −0.149082 | + | 0.556382i | ||||
\(437\) | −1.27831 | + | 1.27831i | −0.0611499 | + | 0.0611499i | ||||
\(438\) | −20.0185 | + | 6.88313i | −0.956521 | + | 0.328888i | ||||
\(439\) | 4.51923 | + | 2.60918i | 0.215691 | + | 0.124529i | 0.603953 | − | 0.797020i | \(-0.293591\pi\) |
−0.388263 | + | 0.921549i | \(0.626925\pi\) | |||||||
\(440\) | −2.88356 | − | 10.7616i | −0.137468 | − | 0.513038i | ||||
\(441\) | −1.12625 | + | 2.78057i | −0.0536312 | + | 0.132408i | ||||
\(442\) | 4.94423 | − | 7.56222i | 0.235173 | − | 0.359698i | ||||
\(443\) | − | 31.3186i | − | 1.48799i | −0.668184 | − | 0.743996i | \(-0.732928\pi\) | ||
0.668184 | − | 0.743996i | \(-0.267072\pi\) | |||||||
\(444\) | −0.229486 | − | 3.30257i | −0.0108909 | − | 0.156733i | ||||
\(445\) | −5.55034 | + | 9.61347i | −0.263111 | + | 0.455722i | ||||
\(446\) | 4.17190 | + | 7.22594i | 0.197545 | + | 0.342158i | ||||
\(447\) | −5.55805 | − | 8.24793i | −0.262887 | − | 0.390114i | ||||
\(448\) | 0.965926 | + | 0.258819i | 0.0456357 | + | 0.0122281i | ||||
\(449\) | 14.3287 | + | 3.83936i | 0.676213 | + | 0.181191i | 0.580552 | − | 0.814223i | \(-0.302837\pi\) |
0.0956610 | + | 0.995414i | \(0.469504\pi\) | |||||||
\(450\) | −0.0327926 | + | 0.0138858i | −0.00154586 | + | 0.000654581i | ||||
\(451\) | −8.67764 | − | 15.0301i | −0.408614 | − | 0.707740i | ||||
\(452\) | 0.305837 | − | 0.529726i | 0.0143854 | − | 0.0249162i | ||||
\(453\) | 11.6527 | − | 0.809714i | 0.547493 | − | 0.0380437i | ||||
\(454\) | 13.2213i | 0.620507i | ||||||||
\(455\) | −5.38256 | − | 6.01518i | −0.252338 | − | 0.281996i | ||||
\(456\) | −0.528266 | + | 2.71136i | −0.0247383 | + | 0.126971i | ||||
\(457\) | 9.76856 | + | 36.4568i | 0.456954 | + | 1.70537i | 0.682280 | + | 0.731091i | \(0.260989\pi\) |
−0.225326 | + | 0.974283i | \(0.572345\pi\) | |||||||
\(458\) | 19.7827 | + | 11.4215i | 0.924383 | + | 0.533693i | ||||
\(459\) | 0.698537 | − | 13.0022i | 0.0326049 | − | 0.606890i | ||||
\(460\) | −1.79440 | + | 1.79440i | −0.0836645 | + | 0.0836645i | ||||
\(461\) | 5.51810 | − | 20.5938i | 0.257004 | − | 0.959150i | −0.709961 | − | 0.704241i | \(-0.751288\pi\) |
0.966965 | − | 0.254910i | \(-0.0820457\pi\) | |||||||
\(462\) | 3.78202 | − | 7.74569i | 0.175956 | − | 0.360362i | ||||
\(463\) | 13.5636 | + | 13.5636i | 0.630356 | + | 0.630356i | 0.948157 | − | 0.317801i | \(-0.102944\pi\) |
−0.317801 | + | 0.948157i | \(0.602944\pi\) | |||||||
\(464\) | −5.50981 | + | 3.18109i | −0.255787 | + | 0.147679i | ||||
\(465\) | 4.92859 | − | 5.66468i | 0.228558 | − | 0.262693i | ||||
\(466\) | −2.53591 | + | 0.679494i | −0.117474 | + | 0.0314770i | ||||
\(467\) | −17.4566 | −0.807796 | −0.403898 | − | 0.914804i | \(-0.632345\pi\) | ||||
−0.403898 | + | 0.914804i | \(0.632345\pi\) | |||||||
\(468\) | 6.98559 | − | 8.25842i | 0.322909 | − | 0.381746i | ||||
\(469\) | 12.3195 | 0.568862 | ||||||||
\(470\) | −26.0476 | + | 6.97944i | −1.20149 | + | 0.321938i | ||||
\(471\) | −4.23191 | + | 4.86395i | −0.194996 | + | 0.224119i | ||||
\(472\) | 4.80010 | − | 2.77134i | 0.220943 | − | 0.127561i | ||||
\(473\) | 27.6341 | + | 27.6341i | 1.27062 | + | 1.27062i | ||||
\(474\) | −13.3323 | + | 27.3050i | −0.612374 | + | 1.25416i | ||||
\(475\) | −0.00489982 | + | 0.0182864i | −0.000224819 | + | 0.000839036i | ||||
\(476\) | −1.77192 | + | 1.77192i | −0.0812160 | + | 0.0812160i | ||||
\(477\) | 4.79655 | − | 0.669829i | 0.219619 | − | 0.0306694i | ||||
\(478\) | −23.5370 | − | 13.5891i | −1.07656 | − | 0.621550i | ||||
\(479\) | −2.23517 | − | 8.34178i | −0.102128 | − | 0.381146i | 0.895876 | − | 0.444304i | \(-0.146549\pi\) |
−0.998003 | + | 0.0631589i | \(0.979882\pi\) | |||||||
\(480\) | −0.741543 | + | 3.80601i | −0.0338466 | + | 0.173720i | ||||
\(481\) | 3.10967 | + | 6.14994i | 0.141789 | + | 0.280413i | ||||
\(482\) | 10.2376i | 0.466308i | ||||||||
\(483\) | −1.95862 | + | 0.136098i | −0.0891202 | + | 0.00619269i | ||||
\(484\) | −6.88324 | + | 11.9221i | −0.312874 | + | 0.541915i | ||||
\(485\) | −18.4042 | − | 31.8770i | −0.835692 | − | 1.44746i | ||||
\(486\) | 2.74050 | − | 15.3457i | 0.124312 | − | 0.696094i | ||||
\(487\) | 0.718108 | + | 0.192417i | 0.0325406 | + | 0.00871922i | 0.275053 | − | 0.961429i | \(-0.411305\pi\) |
−0.242512 | + | 0.970148i | \(0.577971\pi\) | |||||||
\(488\) | −3.03090 | − | 0.812126i | −0.137202 | − | 0.0367632i | ||||
\(489\) | 0.138628 | + | 0.205718i | 0.00626896 | + | 0.00930289i | ||||
\(490\) | 1.11936 | + | 1.93879i | 0.0505675 | + | 0.0875856i | ||||
\(491\) | −17.7481 | + | 30.7405i | −0.800959 | + | 1.38730i | 0.118027 | + | 0.993010i | \(0.462343\pi\) |
−0.918986 | + | 0.394291i | \(0.870990\pi\) | |||||||
\(492\) | 0.418714 | + | 6.02579i | 0.0188771 | + | 0.271664i | ||||
\(493\) | − | 15.9429i | − | 0.718031i | ||||||
\(494\) | −1.17818 | − | 5.62827i | −0.0530086 | − | 0.253228i | ||||
\(495\) | 30.9789 | + | 12.5478i | 1.39240 | + | 0.563983i | ||||
\(496\) | −0.501184 | − | 1.87044i | −0.0225038 | − | 0.0839853i | ||||
\(497\) | −2.37498 | − | 1.37119i | −0.106532 | − | 0.0615065i | ||||
\(498\) | 11.3018 | − | 3.88599i | 0.506446 | − | 0.174136i | ||||
\(499\) | 27.6348 | − | 27.6348i | 1.23710 | − | 1.23710i | 0.275921 | − | 0.961180i | \(-0.411017\pi\) |
0.961180 | − | 0.275921i | \(-0.0889829\pi\) | |||||||
\(500\) | 2.89024 | − | 10.7865i | 0.129255 | − | 0.482388i | ||||
\(501\) | 5.69956 | + | 2.78295i | 0.254638 | + | 0.124333i | ||||
\(502\) | −14.1845 | − | 14.1845i | −0.633087 | − | 0.633087i | ||||
\(503\) | 11.4842 | − | 6.63042i | 0.512056 | − | 0.295636i | −0.221622 | − | 0.975133i | \(-0.571135\pi\) |
0.733679 | + | 0.679497i | \(0.237802\pi\) | |||||||
\(504\) | −2.36565 | + | 1.84491i | −0.105374 | + | 0.0821790i | ||||
\(505\) | −11.6243 | + | 3.11472i | −0.517275 | + | 0.138603i | ||||
\(506\) | 5.64114 | 0.250779 | ||||||||
\(507\) | −6.72548 | + | 21.4888i | −0.298689 | + | 0.954350i | ||||
\(508\) | 3.57122 | 0.158447 | ||||||||
\(509\) | −29.5365 | + | 7.91427i | −1.30918 | + | 0.350794i | −0.844914 | − | 0.534901i | \(-0.820349\pi\) |
−0.464267 | + | 0.885695i | \(0.653682\pi\) | |||||||
\(510\) | −7.33053 | − | 6.37796i | −0.324601 | − | 0.282421i | ||||
\(511\) | −10.5844 | + | 6.11091i | −0.468226 | + | 0.270331i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | −5.53701 | − | 6.16573i | −0.244465 | − | 0.272224i | ||||
\(514\) | −4.73442 | + | 17.6691i | −0.208826 | + | 0.779351i | ||||
\(515\) | 16.6338 | − | 16.6338i | 0.732972 | − | 0.732972i | ||||
\(516\) | −4.42261 | − | 12.8625i | −0.194695 | − | 0.566239i | ||||
\(517\) | 51.9143 | + | 29.9728i | 2.28319 | + | 1.31820i | ||||
\(518\) | −0.494691 | − | 1.84621i | −0.0217355 | − | 0.0811179i | ||||
\(519\) | −18.1133 | − | 3.52910i | −0.795086 | − | 0.154910i | ||||
\(520\) | −1.65384 | − | 7.90058i | −0.0725257 | − | 0.346463i | ||||
\(521\) | − | 37.9878i | − | 1.66428i | −0.554568 | − | 0.832138i | \(-0.687117\pi\) | ||
0.554568 | − | 0.832138i | \(-0.312883\pi\) | |||||||
\(522\) | 2.34265 | − | 18.9422i | 0.102535 | − | 0.829080i | ||||
\(523\) | −5.61192 | + | 9.72013i | −0.245392 | + | 0.425032i | −0.962242 | − | 0.272196i | \(-0.912250\pi\) |
0.716850 | + | 0.697228i | \(0.245583\pi\) | |||||||
\(524\) | −10.9819 | − | 19.0213i | −0.479748 | − | 0.830948i | ||||
\(525\) | −0.0170502 | + | 0.0114897i | −0.000744133 | + | 0.000501450i | ||||
\(526\) | 27.3941 | + | 7.34022i | 1.19444 | + | 0.320049i | ||||
\(527\) | 4.68710 | + | 1.25591i | 0.204173 | + | 0.0547081i | ||||
\(528\) | 7.14817 | − | 4.81695i | 0.311084 | − | 0.209631i | ||||
\(529\) | 10.8575 | + | 18.8058i | 0.472067 | + | 0.817645i | ||||
\(530\) | 1.80705 | − | 3.12991i | 0.0784934 | − | 0.135955i | ||||
\(531\) | −2.04089 | + | 16.5023i | −0.0885673 | + | 0.716139i | ||||
\(532\) | 1.59484i | 0.0691450i | ||||||||
\(533\) | −5.67383 | − | 11.2210i | −0.245761 | − | 0.486037i | ||||
\(534\) | −8.42985 | − | 1.64243i | −0.364795 | − | 0.0710747i | ||||
\(535\) | −9.41341 | − | 35.1313i | −0.406977 | − | 1.51886i | ||||
\(536\) | 10.6690 | + | 6.15976i | 0.460831 | + | 0.266061i | ||||
\(537\) | 6.38906 | + | 18.5816i | 0.275708 | + | 0.801855i | ||||
\(538\) | 6.26477 | − | 6.26477i | 0.270093 | − | 0.270093i | ||||
\(539\) | 1.28804 | − | 4.80702i | 0.0554797 | − | 0.207053i | ||||
\(540\) | −7.77246 | − | 8.65502i | −0.334473 | − | 0.372453i | ||||
\(541\) | 21.3151 | + | 21.3151i | 0.916409 | + | 0.916409i | 0.996766 | − | 0.0803571i | \(-0.0256061\pi\) |
−0.0803571 | + | 0.996766i | \(0.525606\pi\) | |||||||
\(542\) | −18.8224 | + | 10.8671i | −0.808492 | + | 0.466783i | ||||
\(543\) | 27.5438 | + | 23.9646i | 1.18202 | + | 1.02842i | ||||
\(544\) | −2.42049 | + | 0.648569i | −0.103778 | + | 0.0278072i | ||||
\(545\) | −26.9260 | −1.15339 | ||||||||
\(546\) | 3.04687 | − | 5.45129i | 0.130394 | − | 0.233294i | ||||
\(547\) | −8.55508 | −0.365789 | −0.182894 | − | 0.983133i | \(-0.558547\pi\) | ||||
−0.182894 | + | 0.983133i | \(0.558547\pi\) | |||||||
\(548\) | 3.85986 | − | 1.03425i | 0.164885 | − | 0.0441808i | ||||
\(549\) | 7.42297 | − | 5.78900i | 0.316805 | − | 0.247068i | ||||
\(550\) | 0.0511600 | − | 0.0295372i | 0.00218147 | − | 0.00125947i | ||||
\(551\) | −7.17477 | − | 7.17477i | −0.305655 | − | 0.305655i | ||||
\(552\) | −1.76426 | − | 0.861444i | −0.0750920 | − | 0.0366655i | ||||
\(553\) | −4.54057 | + | 16.9456i | −0.193085 | + | 0.720602i | ||||
\(554\) | 4.28103 | − | 4.28103i | 0.181884 | − | 0.181884i | ||||
\(555\) | 7.00864 | − | 2.40984i | 0.297500 | − | 0.102292i | ||||
\(556\) | −9.73800 | − | 5.62224i | −0.412983 | − | 0.238436i | ||||
\(557\) | −8.11955 | − | 30.3026i | −0.344037 | − | 1.28396i | −0.893734 | − | 0.448598i | \(-0.851924\pi\) |
0.549697 | − | 0.835364i | \(-0.314743\pi\) | |||||||
\(558\) | 5.38436 | + | 2.18091i | 0.227938 | + | 0.0923251i | ||||
\(559\) | 18.8807 | + | 21.0998i | 0.798568 | + | 0.892425i | ||||
\(560\) | 2.23872i | 0.0946032i | ||||||||
\(561\) | 1.49731 | + | 21.5480i | 0.0632163 | + | 0.909757i | ||||
\(562\) | 2.80809 | − | 4.86375i | 0.118452 | − | 0.205165i | ||||
\(563\) | 18.7355 | + | 32.4508i | 0.789605 | + | 1.36764i | 0.926209 | + | 0.377010i | \(0.123048\pi\) |
−0.136604 | + | 0.990626i | \(0.543619\pi\) | |||||||
\(564\) | −11.6591 | − | 17.3017i | −0.490937 | − | 0.728531i | ||||
\(565\) | 1.32271 | + | 0.354419i | 0.0556467 | + | 0.0149105i | ||||
\(566\) | −5.59305 | − | 1.49865i | −0.235094 | − | 0.0629931i | ||||
\(567\) | −0.141316 | − | 8.99889i | −0.00593473 | − | 0.377918i | ||||
\(568\) | −1.37119 | − | 2.37498i | −0.0575340 | − | 0.0996519i | ||||
\(569\) | 15.1741 | − | 26.2824i | 0.636133 | − | 1.10181i | −0.350141 | − | 0.936697i | \(-0.613866\pi\) |
0.986274 | − | 0.165117i | \(-0.0528003\pi\) | |||||||
\(570\) | −6.16923 | + | 0.428681i | −0.258401 | + | 0.0179555i | ||||
\(571\) | − | 23.8669i | − | 0.998797i | −0.866372 | − | 0.499398i | \(-0.833554\pi\) | ||
0.866372 | − | 0.499398i | \(-0.166446\pi\) | |||||||
\(572\) | −9.81907 | + | 15.0183i | −0.410556 | + | 0.627948i | ||||
\(573\) | −4.72064 | + | 24.2290i | −0.197208 | + | 1.01218i | ||||
\(574\) | 0.902600 | + | 3.36855i | 0.0376738 | + | 0.140601i | ||||
\(575\) | −0.0116529 | − | 0.00672779i | −0.000485959 | − | 0.000280568i | ||||
\(576\) | −2.97117 | + | 0.414918i | −0.123799 | + | 0.0172883i | ||||
\(577\) | 4.27637 | − | 4.27637i | 0.178027 | − | 0.178027i | −0.612468 | − | 0.790495i | \(-0.709823\pi\) |
0.790495 | + | 0.612468i | \(0.209823\pi\) | |||||||
\(578\) | −2.77469 | + | 10.3553i | −0.115412 | + | 0.430723i | ||||
\(579\) | −18.7274 | + | 38.3542i | −0.778284 | + | 1.59395i | ||||
\(580\) | −10.0714 | − | 10.0714i | −0.418194 | − | 0.418194i | ||||
\(581\) | 5.97561 | − | 3.45002i | 0.247910 | − | 0.143131i | ||||
\(582\) | 18.6926 | − | 21.4843i | 0.774832 | − | 0.890555i | ||||
\(583\) | −7.76028 | + | 2.07936i | −0.321398 | + | 0.0861183i | ||||
\(584\) | −12.2218 | −0.505742 | ||||||||
\(585\) | 21.9059 | + | 10.3208i | 0.905699 | + | 0.426712i | ||||
\(586\) | −26.6844 | −1.10232 | ||||||||
\(587\) | −7.17007 | + | 1.92122i | −0.295941 | + | 0.0792970i | −0.403734 | − | 0.914876i | \(-0.632288\pi\) |
0.107794 | + | 0.994173i | \(0.465621\pi\) | |||||||
\(588\) | −1.13690 | + | 1.30670i | −0.0468850 | + | 0.0538873i | ||||
\(589\) | 2.67453 | − | 1.54414i | 0.110202 | − | 0.0636252i | ||||
\(590\) | 8.77414 | + | 8.77414i | 0.361226 | + | 0.361226i | ||||
\(591\) | 10.0892 | − | 20.6629i | 0.415014 | − | 0.849960i | ||||
\(592\) | 0.494691 | − | 1.84621i | 0.0203317 | − | 0.0758788i | ||||
\(593\) | −20.8143 | + | 20.8143i | −0.854743 | + | 0.854743i | −0.990713 | − | 0.135970i | \(-0.956585\pi\) |
0.135970 | + | 0.990713i | \(0.456585\pi\) | |||||||
\(594\) | −1.38727 | + | 25.8219i | −0.0569204 | + | 1.05949i | ||||
\(595\) | −4.85837 | − | 2.80498i | −0.199174 | − | 0.114993i | ||||
\(596\) | −1.48620 | − | 5.54659i | −0.0608773 | − | 0.227197i | ||||
\(597\) | 4.17032 | − | 21.4044i | 0.170680 | − | 0.876024i | ||||
\(598\) | 4.08074 | + | 0.226499i | 0.166874 | + | 0.00926222i | ||||
\(599\) | 26.0281i | 1.06348i | 0.846908 | + | 0.531739i | \(0.178461\pi\) | ||||
−0.846908 | + | 0.531739i | \(0.821539\pi\) | |||||||
\(600\) | −0.0205108 | + | 0.00142523i | −0.000837349 | + | 5.81848e-5i | ||||
\(601\) | 1.89419 | − | 3.28084i | 0.0772657 | − | 0.133828i | −0.824804 | − | 0.565419i | \(-0.808714\pi\) |
0.902069 | + | 0.431591i | \(0.142048\pi\) | |||||||
\(602\) | −3.92644 | − | 6.80079i | −0.160030 | − | 0.277180i | ||||
\(603\) | −34.0332 | + | 14.4111i | −1.38594 | + | 0.586864i | ||||
\(604\) | 6.51414 | + | 1.74546i | 0.265057 | + | 0.0710217i | ||||
\(605\) | −29.7692 | − | 7.97662i | −1.21029 | − | 0.324296i | ||||
\(606\) | −5.20312 | − | 7.72122i | −0.211362 | − | 0.313653i | ||||
\(607\) | −2.64461 | − | 4.58060i | −0.107341 | − | 0.185921i | 0.807351 | − | 0.590071i | \(-0.200900\pi\) |
−0.914692 | + | 0.404151i | \(0.867567\pi\) | |||||||
\(608\) | −0.797419 | + | 1.38117i | −0.0323396 | + | 0.0560138i | ||||
\(609\) | −0.763879 | − | 10.9931i | −0.0309539 | − | 0.445464i | ||||
\(610\) | − | 7.02469i | − | 0.284421i | ||||||
\(611\) | 36.3508 | + | 23.7664i | 1.47060 | + | 0.961484i | ||||
\(612\) | 2.82226 | − | 6.96776i | 0.114083 | − | 0.281655i | ||||
\(613\) | 8.05524 | + | 30.0626i | 0.325348 | + | 1.21422i | 0.913961 | + | 0.405801i | \(0.133007\pi\) |
−0.588613 | + | 0.808415i | \(0.700326\pi\) | |||||||
\(614\) | −14.2488 | − | 8.22657i | −0.575036 | − | 0.331997i | ||||
\(615\) | −12.7878 | + | 4.39693i | −0.515653 | + | 0.177301i | ||||
\(616\) | 3.51898 | − | 3.51898i | 0.141784 | − | 0.141784i | ||||
\(617\) | 5.64026 | − | 21.0497i | 0.227068 | − | 0.847430i | −0.754497 | − | 0.656303i | \(-0.772119\pi\) |
0.981565 | − | 0.191127i | \(-0.0612142\pi\) | |||||||
\(618\) | 16.3544 | + | 7.98543i | 0.657870 | + | 0.321221i | ||||
\(619\) | −3.03970 | − | 3.03970i | −0.122176 | − | 0.122176i | 0.643375 | − | 0.765551i | \(-0.277534\pi\) |
−0.765551 | + | 0.643375i | \(0.777534\pi\) | |||||||
\(620\) | 3.75432 | − | 2.16756i | 0.150777 | − | 0.0870512i | ||||
\(621\) | 5.25156 | − | 2.66712i | 0.210738 | − | 0.107028i | ||||
\(622\) | −31.8424 | + | 8.53214i | −1.27676 | + | 0.342108i | ||||
\(623\) | −4.95849 | −0.198658 | ||||||||
\(624\) | 5.36431 | − | 3.19752i | 0.214744 | − | 0.128003i | ||||
\(625\) | 25.0592 | 1.00237 | ||||||||
\(626\) | −0.453414 | + | 0.121492i | −0.0181221 | + | 0.00485579i | ||||
\(627\) | 10.3711 | + | 9.02341i | 0.414181 | + | 0.360360i | ||||
\(628\) | −3.22362 | + | 1.86116i | −0.128637 | + | 0.0742684i | ||||
\(629\) | 3.38675 | + | 3.38675i | 0.135038 | + | 0.135038i | ||||
\(630\) | −5.36023 | − | 4.04658i | −0.213556 | − | 0.161220i | ||||
\(631\) | −8.03819 | + | 29.9989i | −0.319995 | + | 1.19424i | 0.599253 | + | 0.800560i | \(0.295464\pi\) |
−0.919248 | + | 0.393679i | \(0.871202\pi\) | |||||||
\(632\) | −12.4051 | + | 12.4051i | −0.493447 | + | 0.493447i | ||||
\(633\) | 15.2647 | + | 44.3950i | 0.606716 | + | 1.76454i | ||||
\(634\) | −9.88922 | − | 5.70954i | −0.392751 | − | 0.226755i | ||||
\(635\) | 2.06925 | + | 7.72253i | 0.0821155 | + | 0.306459i | ||||
\(636\) | 2.74455 | + | 0.534734i | 0.108829 | + | 0.0212036i | ||||
\(637\) | 1.12476 | − | 3.42563i | 0.0445646 | − | 0.135728i | ||||
\(638\) | 31.6620i | 1.25351i | ||||||||
\(639\) | 8.16496 | + | 1.00979i | 0.323001 | + | 0.0399466i | ||||
\(640\) | −1.11936 | + | 1.93879i | −0.0442466 | + | 0.0766374i | ||||
\(641\) | 17.8622 | + | 30.9382i | 0.705513 | + | 1.22198i | 0.966506 | + | 0.256643i | \(0.0826166\pi\) |
−0.260993 | + | 0.965341i | \(0.584050\pi\) | |||||||
\(642\) | 23.3353 | − | 15.7250i | 0.920972 | − | 0.620617i | ||||
\(643\) | 3.75070 | + | 1.00500i | 0.147913 | + | 0.0396332i | 0.332016 | − | 0.943274i | \(-0.392271\pi\) |
−0.184103 | + | 0.982907i | \(0.558938\pi\) | |||||||
\(644\) | −1.09491 | − | 0.293381i | −0.0431455 | − | 0.0115608i | ||||
\(645\) | 25.2518 | − | 17.0165i | 0.994287 | − | 0.670022i | ||||
\(646\) | −1.99823 | − | 3.46104i | −0.0786195 | − | 0.136173i | ||||
\(647\) | 3.36667 | − | 5.83124i | 0.132357 | − | 0.229250i | −0.792228 | − | 0.610226i | \(-0.791079\pi\) |
0.924585 | + | 0.380976i | \(0.124412\pi\) | |||||||
\(648\) | 4.37706 | − | 7.86393i | 0.171947 | − | 0.308924i | ||||
\(649\) | − | 27.5837i | − | 1.08275i | ||||||
\(650\) | 0.0381945 | − | 0.0193127i | 0.00149811 | − | 0.000757508i | ||||
\(651\) | 3.29208 | + | 0.641412i | 0.129027 | + | 0.0251389i | ||||
\(652\) | 0.0370686 | + | 0.138342i | 0.00145172 | + | 0.00541788i | ||||
\(653\) | −28.4810 | − | 16.4435i | −1.11455 | − | 0.643486i | −0.174546 | − | 0.984649i | \(-0.555846\pi\) |
−0.940004 | + | 0.341164i | \(0.889179\pi\) | |||||||
\(654\) | −6.77365 | − | 19.7001i | −0.264871 | − | 0.770335i | ||||
\(655\) | 34.7691 | − | 34.7691i | 1.35854 | − | 1.35854i | ||||
\(656\) | −0.902600 | + | 3.36855i | −0.0352406 | + | 0.131520i | ||||
\(657\) | 22.0914 | − | 29.2630i | 0.861869 | − | 1.14166i | ||||
\(658\) | −8.51745 | − | 8.51745i | −0.332045 | − | 0.332045i | ||||
\(659\) | −34.6566 | + | 20.0090i | −1.35003 | + | 0.779441i | −0.988254 | − | 0.152823i | \(-0.951163\pi\) |
−0.361778 | + | 0.932264i | \(0.617830\pi\) | |||||||
\(660\) | 14.5582 | + | 12.6664i | 0.566677 | + | 0.493040i | ||||
\(661\) | −41.2876 | + | 11.0630i | −1.60590 | + | 0.430300i | −0.946818 | − | 0.321769i | \(-0.895722\pi\) |
−0.659084 | + | 0.752069i | \(0.729056\pi\) | |||||||
\(662\) | 15.4442 | 0.600256 | ||||||||
\(663\) | 0.217956 | + | 15.6477i | 0.00846470 | + | 0.607706i | ||||
\(664\) | 6.90004 | 0.267774 | ||||||||
\(665\) | −3.44874 | + | 0.924086i | −0.133736 | + | 0.0358345i | ||||
\(666\) | 3.52626 | + | 4.52156i | 0.136640 | + | 0.175207i | ||||
\(667\) | 6.24557 | − | 3.60588i | 0.241829 | − | 0.139620i | ||||
\(668\) | 2.58940 | + | 2.58940i | 0.100187 | + | 0.100187i | ||||
\(669\) | −12.9865 | − | 6.34097i | −0.502087 | − | 0.245156i | ||||
\(670\) | −7.13822 | + | 26.6402i | −0.275773 | + | 1.02920i | ||||
\(671\) | −11.0419 | + | 11.0419i | −0.426268 | + | 0.426268i | ||||
\(672\) | −1.63793 | + | 0.563184i | −0.0631846 | + | 0.0217253i | ||||
\(673\) | 22.2799 | + | 12.8633i | 0.858828 | + | 0.495845i | 0.863620 | − | 0.504144i | \(-0.168192\pi\) |
−0.00479162 | + | 0.999989i | \(0.501525\pi\) | |||||||
\(674\) | 5.68674 | + | 21.2232i | 0.219045 | + | 0.817487i | ||||
\(675\) | 0.0336616 | − | 0.0516856i | 0.00129564 | − | 0.00198938i | ||||
\(676\) | −7.70601 | + | 10.4698i | −0.296385 | + | 0.402686i | ||||
\(677\) | − | 29.2077i | − | 1.12254i | −0.827631 | − | 0.561272i | \(-0.810312\pi\) | ||
0.827631 | − | 0.561272i | \(-0.189688\pi\) | |||||||
\(678\) | 0.0734410 | + | 1.05690i | 0.00282048 | + | 0.0405901i | ||||
\(679\) | 8.22085 | − | 14.2389i | 0.315487 | − | 0.546440i | ||||
\(680\) | −2.80498 | − | 4.85837i | −0.107566 | − | 0.186310i | ||||
\(681\) | −12.7972 | − | 18.9905i | −0.490389 | − | 0.727719i | ||||
\(682\) | −9.30843 | − | 2.49419i | −0.356438 | − | 0.0955073i | ||||
\(683\) | 25.1156 | + | 6.72971i | 0.961022 | + | 0.257505i | 0.705033 | − | 0.709174i | \(-0.250932\pi\) |
0.255989 | + | 0.966680i | \(0.417599\pi\) | |||||||
\(684\) | −1.86560 | − | 4.40580i | −0.0713331 | − | 0.168460i | ||||
\(685\) | 4.47299 | + | 7.74744i | 0.170904 | + | 0.296015i | ||||
\(686\) | −0.500000 | + | 0.866025i | −0.0190901 | + | 0.0330650i | ||||
\(687\) | −39.4702 | + | 2.74266i | −1.50588 | + | 0.104639i | ||||
\(688\) | − | 7.85288i | − | 0.299388i | ||||||
\(689\) | −5.69719 | + | 1.19260i | −0.217045 | + | 0.0454345i | ||||
\(690\) | 0.840565 | − | 4.31425i | 0.0319998 | − | 0.164241i | ||||
\(691\) | −3.58545 | − | 13.3811i | −0.136397 | − | 0.509041i | −0.999988 | − | 0.00484814i | \(-0.998457\pi\) |
0.863591 | − | 0.504193i | \(-0.168210\pi\) | |||||||
\(692\) | −9.22695 | − | 5.32718i | −0.350756 | − | 0.202509i | ||||
\(693\) | 2.06488 | + | 14.7863i | 0.0784383 | + | 0.561685i | ||||
\(694\) | −19.1203 | + | 19.1203i | −0.725798 | + | 0.725798i | ||||
\(695\) | 6.51531 | − | 24.3155i | 0.247140 | − | 0.922339i | ||||
\(696\) | 4.83502 | − | 9.90226i | 0.183271 | − | 0.375344i | ||||
\(697\) | −6.17937 | − | 6.17937i | −0.234060 | − | 0.234060i | ||||
\(698\) | −9.11693 | + | 5.26366i | −0.345081 | + | 0.199233i | ||||
\(699\) | 2.98478 | − | 3.43056i | 0.112895 | − | 0.129756i | ||||
\(700\) | −0.0114660 | + | 0.00307230i | −0.000433373 | + | 0.000116122i | ||||
\(701\) | −20.7025 | −0.781924 | −0.390962 | − | 0.920407i | \(-0.627858\pi\) | ||||
−0.390962 | + | 0.920407i | \(0.627858\pi\) | |||||||
\(702\) | −2.04032 | + | 18.6236i | −0.0770068 | + | 0.702901i | ||||
\(703\) | 3.04827 | 0.114968 | ||||||||
\(704\) | 4.80702 | − | 1.28804i | 0.181171 | − | 0.0485447i | ||||
\(705\) | 30.6582 | − | 35.2371i | 1.15465 | − | 1.32710i | ||||
\(706\) | 21.8772 | − | 12.6308i | 0.823361 | − | 0.475368i | ||||
\(707\) | −3.80109 | − | 3.80109i | −0.142955 | − | 0.142955i | ||||
\(708\) | −4.21223 | + | 8.62676i | −0.158305 | + | 0.324213i | ||||
\(709\) | −4.80853 | + | 17.9457i | −0.180588 | + | 0.673964i | 0.814944 | + | 0.579540i | \(0.196768\pi\) |
−0.995532 | + | 0.0944240i | \(0.969899\pi\) | |||||||
\(710\) | 4.34124 | − | 4.34124i | 0.162924 | − | 0.162924i | ||||
\(711\) | −7.27909 | − | 52.1244i | −0.272987 | − | 1.95482i | ||||
\(712\) | −4.29418 | − | 2.47925i | −0.160931 | − | 0.0929137i | ||||
\(713\) | 0.568109 | + | 2.12021i | 0.0212759 | + | 0.0794026i | ||||
\(714\) | 0.830035 | − | 4.26020i | 0.0310633 | − | 0.159434i | ||||
\(715\) | −38.1656 | − | 12.5312i | −1.42731 | − | 0.468639i | ||||
\(716\) | 11.3445i | 0.423966i | ||||||||
\(717\) | 46.9607 | − | 3.26316i | 1.75378 | − | 0.121865i | ||||
\(718\) | 7.11662 | − | 12.3263i | 0.265590 | − | 0.460015i | ||||
\(719\) | −1.20412 | − | 2.08560i | −0.0449063 | − | 0.0777799i | 0.842699 | − | 0.538386i | \(-0.180966\pi\) |
−0.887605 | + | 0.460606i | \(0.847632\pi\) | |||||||
\(720\) | −2.61880 | − | 6.18455i | −0.0975969 | − | 0.230485i | ||||
\(721\) | 10.1496 | + | 2.71958i | 0.377992 | + | 0.101283i | ||||
\(722\) | 15.8958 | + | 4.25925i | 0.591579 | + | 0.158513i | ||||
\(723\) | −9.90915 | − | 14.7048i | −0.368525 | − | 0.546878i | ||||
\(724\) | 10.5395 | + | 18.2549i | 0.391696 | + | 0.678437i | ||||
\(725\) | 0.0377610 | − | 0.0654040i | 0.00140241 | − | 0.00242904i | ||||
\(726\) | −1.65288 | − | 23.7869i | −0.0613441 | − | 0.882814i | ||||
\(727\) | − | 19.3374i | − | 0.717186i | −0.933494 | − | 0.358593i | \(-0.883257\pi\) | ||
0.933494 | − | 0.358593i | \(-0.116743\pi\) | |||||||
\(728\) | 2.68688 | − | 2.40430i | 0.0995825 | − | 0.0891093i | ||||
\(729\) | 10.9171 | + | 24.6945i | 0.404336 | + | 0.914610i | ||||
\(730\) | −7.08161 | − | 26.4289i | −0.262102 | − | 0.978178i | ||||
\(731\) | 17.0420 | + | 9.83918i | 0.630320 | + | 0.363915i | ||||
\(732\) | 5.13953 | − | 1.76717i | 0.189963 | − | 0.0653163i | ||||
\(733\) | 29.1374 | − | 29.1374i | 1.07622 | − | 1.07622i | 0.0793711 | − | 0.996845i | \(-0.474709\pi\) |
0.996845 | − | 0.0793711i | \(-0.0252912\pi\) | |||||||
\(734\) | −5.69055 | + | 21.2374i | −0.210042 | + | 0.783887i | ||||
\(735\) | −3.48440 | − | 1.70134i | −0.128524 | − | 0.0627550i | ||||
\(736\) | −0.801531 | − | 0.801531i | −0.0295448 | − | 0.0295448i | ||||
\(737\) | 53.0953 | − | 30.6546i | 1.95579 | − | 1.12918i | ||||
\(738\) | −6.43392 | − | 8.24992i | −0.236836 | − | 0.303684i | ||||
\(739\) | −32.0414 | + | 8.58548i | −1.17866 | + | 0.315822i | −0.794396 | − | 0.607400i | \(-0.792212\pi\) |
−0.384267 | + | 0.923222i | \(0.625546\pi\) | |||||||
\(740\) | 4.27895 | 0.157298 | ||||||||
\(741\) | 7.14001 | + | 6.94384i | 0.262295 | + | 0.255088i | ||||
\(742\) | 1.61436 | 0.0592652 | ||||||||
\(743\) | 3.74703 | − | 1.00401i | 0.137465 | − | 0.0368337i | −0.189430 | − | 0.981894i | \(-0.560664\pi\) |
0.326896 | + | 0.945060i | \(0.393997\pi\) | |||||||
\(744\) | 2.53032 | + | 2.20152i | 0.0927661 | + | 0.0807117i | ||||
\(745\) | 11.1330 | − | 6.42765i | 0.407882 | − | 0.235491i | ||||
\(746\) | −5.84183 | − | 5.84183i | −0.213885 | − | 0.213885i | ||||
\(747\) | −12.4721 | + | 16.5210i | −0.456331 | + | 0.604470i | ||||
\(748\) | −3.22766 | + | 12.0458i | −0.118015 | + | 0.440438i | ||||
\(749\) | 11.4878 | − | 11.4878i | 0.419754 | − | 0.419754i | ||||
\(750\) | 6.28909 | + | 18.2908i | 0.229645 | + | 0.667887i | ||||
\(751\) | −9.20781 | − | 5.31613i | −0.335998 | − | 0.193988i | 0.322503 | − | 0.946568i | \(-0.395476\pi\) |
−0.658501 | + | 0.752580i | \(0.728809\pi\) | |||||||
\(752\) | −3.11760 | − | 11.6351i | −0.113687 | − | 0.424287i | ||||
\(753\) | 34.1036 | + | 6.64456i | 1.24280 | + | 0.242141i | ||||
\(754\) | −1.27127 | + | 22.9039i | −0.0462968 | + | 0.834112i | ||||
\(755\) | 15.0978i | 0.549465i | ||||||||
\(756\) | 1.61219 | − | 4.93972i | 0.0586347 | − | 0.179656i | ||||
\(757\) | 14.6540 | − | 25.3815i | 0.532609 | − | 0.922506i | −0.466666 | − | 0.884434i | \(-0.654545\pi\) |
0.999275 | − | 0.0380725i | \(-0.0121218\pi\) | |||||||
\(758\) | −13.7939 | − | 23.8917i | −0.501015 | − | 0.867784i | ||||
\(759\) | −8.10271 | + | 5.46019i | −0.294110 | + | 0.198192i | ||||
\(760\) | −3.44874 | − | 0.924086i | −0.125099 | − | 0.0335201i | ||||
\(761\) | −2.05863 | − | 0.551608i | −0.0746252 | − | 0.0199958i | 0.221313 | − | 0.975203i | \(-0.428966\pi\) |
−0.295938 | + | 0.955207i | \(0.595632\pi\) | |||||||
\(762\) | −5.12955 | + | 3.45666i | −0.185824 | + | 0.125221i | ||||
\(763\) | −6.01371 | − | 10.4161i | −0.217711 | − | 0.377087i | ||||
\(764\) | −7.12581 | + | 12.3423i | −0.257803 | + | 0.446528i | ||||
\(765\) | 16.7026 | + | 2.06567i | 0.603885 | + | 0.0746844i | ||||
\(766\) | 32.5553i | 1.17627i | ||||||||
\(767\) | 1.10752 | − | 19.9537i | 0.0399901 | − | 0.720486i | ||||
\(768\) | −1.70008 | − | 0.331235i | −0.0613465 | − | 0.0119524i | ||||
\(769\) | −8.89775 | − | 33.2069i | −0.320861 | − | 1.19747i | −0.918408 | − | 0.395636i | \(-0.870524\pi\) |
0.597547 | − | 0.801834i | \(-0.296142\pi\) | |||||||
\(770\) | 9.64856 | + | 5.57060i | 0.347710 | + | 0.200751i | ||||
\(771\) | −10.3020 | − | 29.9617i | −0.371017 | − | 1.07905i | ||||
\(772\) | −17.4249 | + | 17.4249i | −0.627135 | + | 0.627135i | ||||
\(773\) | −9.33711 | + | 34.8466i | −0.335833 | + | 1.25334i | 0.567131 | + | 0.823628i | \(0.308053\pi\) |
−0.902964 | + | 0.429717i | \(0.858613\pi\) | |||||||
\(774\) | 18.8023 | + | 14.1944i | 0.675836 | + | 0.510207i | ||||
\(775\) | 0.0162537 | + | 0.0162537i | 0.000583851 | + | 0.000583851i | ||||
\(776\) | 14.2389 | − | 8.22085i | 0.511148 | − | 0.295111i | ||||
\(777\) | 2.49754 | + | 2.17300i | 0.0895989 | + | 0.0779560i | ||||
\(778\) | 8.43311 | − | 2.25965i | 0.302342 | − | 0.0810122i | ||||
\(779\) | −5.56180 | −0.199272 | ||||||||
\(780\) | 10.0227 | + | 9.74728i | 0.358868 | + | 0.349009i | ||||
\(781\) | −13.6477 | −0.488355 | ||||||||
\(782\) | 2.74371 | − | 0.735176i | 0.0981150 | − | 0.0262898i | ||||
\(783\) | 14.9697 | + | 29.4754i | 0.534975 | + | 1.05336i | ||||
\(784\) | −0.866025 | + | 0.500000i | −0.0309295 | + | 0.0178571i | ||||
\(785\) | −5.89249 | − | 5.89249i | −0.210312 | − | 0.210312i | ||||
\(786\) | 34.1851 | + | 16.6917i | 1.21934 | + | 0.595374i | ||||
\(787\) | −11.3760 | + | 42.4560i | −0.405512 | + | 1.51339i | 0.397597 | + | 0.917560i | \(0.369844\pi\) |
−0.803109 | + | 0.595832i | \(0.796822\pi\) | |||||||
\(788\) | 9.38748 | − | 9.38748i | 0.334415 | − | 0.334415i | ||||
\(789\) | −46.4525 | + | 15.9721i | −1.65375 | + | 0.568623i | ||||
\(790\) | −34.0130 | − | 19.6374i | −1.21013 | − | 0.698667i | ||||
\(791\) | 0.158313 | + | 0.590832i | 0.00562896 | + | 0.0210076i | ||||
\(792\) | −5.60491 | + | 13.8377i | −0.199162 | + | 0.491703i | ||||
\(793\) | −8.43094 | + | 7.54425i | −0.299392 | + | 0.267904i | ||||
\(794\) | − | 1.85223i | − | 0.0657333i | ||||||
\(795\) | 0.433930 | + | 6.24476i | 0.0153899 | + | 0.221479i | ||||
\(796\) | 6.29510 | − | 10.9034i | 0.223124 | − | 0.386462i | ||||
\(797\) | −12.7222 | − | 22.0354i | −0.450642 | − | 0.780536i | 0.547784 | − | 0.836620i | \(-0.315472\pi\) |
−0.998426 | + | 0.0560845i | \(0.982138\pi\) | |||||||
\(798\) | −1.54368 | − | 2.29076i | −0.0546456 | − | 0.0810920i | ||||
\(799\) | 29.1560 | + | 7.81233i | 1.03147 | + | 0.276381i | ||||
\(800\) | −0.0114660 | − | 0.00307230i | −0.000405384 | − | 0.000108622i | ||||
\(801\) | 13.6980 | − | 5.80032i | 0.483996 | − | 0.204944i | ||||
\(802\) | −8.05510 | − | 13.9519i | −0.284436 | − | 0.492657i | ||||
\(803\) | −30.4115 | + | 52.6743i | −1.07320 | + | 1.85883i | ||||
\(804\) | −21.2867 | + | 1.47915i | −0.750724 | + | 0.0521655i | ||||
\(805\) | − | 2.53767i | − | 0.0894411i | ||||||
\(806\) | −6.63347 | − | 2.17801i | −0.233654 | − | 0.0767171i | ||||
\(807\) | −2.93465 | + | 15.0623i | −0.103305 | + | 0.530217i | ||||
\(808\) | −1.39130 | − | 5.19239i | −0.0489456 | − | 0.182667i | ||||
\(809\) | 19.5795 | + | 11.3042i | 0.688379 | + | 0.397436i | 0.803004 | − | 0.595973i | \(-0.203233\pi\) |
−0.114626 | + | 0.993409i | \(0.536567\pi\) | |||||||
\(810\) | 19.5414 | + | 4.90858i | 0.686616 | + | 0.172470i | ||||
\(811\) | −25.7313 | + | 25.7313i | −0.903549 | + | 0.903549i | −0.995741 | − | 0.0921926i | \(-0.970612\pi\) |
0.0921926 | + | 0.995741i | \(0.470612\pi\) | |||||||
\(812\) | 1.64665 | − | 6.14540i | 0.0577863 | − | 0.215661i | ||||
\(813\) | 16.5172 | − | 33.8277i | 0.579284 | − | 1.18639i | ||||
\(814\) | −6.72597 | − | 6.72597i | −0.235745 | − | 0.235745i | ||||
\(815\) | −0.277677 | + | 0.160317i | −0.00972660 | + | 0.00561566i | ||||
\(816\) | 2.84893 | − | 3.27443i | 0.0997326 | − | 0.114628i | ||||
\(817\) | 12.0973 | − | 3.24147i | 0.423231 | − | 0.113405i | ||||
\(818\) | 4.53529 | 0.158573 | ||||||||
\(819\) | 0.900023 | + | 10.7791i | 0.0314494 | + | 0.376654i | ||||
\(820\) | −7.80727 | −0.272642 | ||||||||
\(821\) | 38.9072 | − | 10.4251i | 1.35787 | − | 0.363840i | 0.494836 | − | 0.868987i | \(-0.335228\pi\) |
0.863033 | + | 0.505147i | \(0.168562\pi\) | |||||||
\(822\) | −4.54308 | + | 5.22159i | −0.158458 | + | 0.182124i | ||||
\(823\) | 6.92538 | − | 3.99837i | 0.241403 | − | 0.139374i | −0.374418 | − | 0.927260i | \(-0.622158\pi\) |
0.615822 | + | 0.787886i | \(0.288824\pi\) | |||||||
\(824\) | 7.43004 | + | 7.43004i | 0.258838 | + | 0.258838i | ||||
\(825\) | −0.0448943 | + | 0.0919449i | −0.00156302 | + | 0.00320111i | ||||
\(826\) | −1.43455 | + | 5.35382i | −0.0499144 | + | 0.186283i | ||||
\(827\) | −24.8745 | + | 24.8745i | −0.864972 | + | 0.864972i | −0.991911 | − | 0.126939i | \(-0.959485\pi\) |
0.126939 | + | 0.991911i | \(0.459485\pi\) | |||||||
\(828\) | 3.36793 | − | 0.470325i | 0.117043 | − | 0.0163449i | ||||
\(829\) | 9.87941 | + | 5.70388i | 0.343126 | + | 0.198104i | 0.661654 | − | 0.749810i | \(-0.269855\pi\) |
−0.318527 | + | 0.947914i | \(0.603188\pi\) | |||||||
\(830\) | 3.99805 | + | 14.9209i | 0.138774 | + | 0.517913i | ||||
\(831\) | −2.00539 | + | 10.2928i | −0.0695664 | + | 0.357053i | ||||
\(832\) | 3.52906 | − | 0.738744i | 0.122348 | − | 0.0256113i | ||||
\(833\) | − | 2.50588i | − | 0.0868236i | ||||||
\(834\) | 19.4292 | − | 1.35007i | 0.672777 | − | 0.0467492i | ||||
\(835\) | −4.09905 | + | 7.09976i | −0.141853 | + | 0.245697i | ||||
\(836\) | 3.96843 | + | 6.87352i | 0.137251 | + | 0.237726i | ||||
\(837\) | −9.84482 | + | 2.07907i | −0.340287 | + | 0.0718633i | ||||
\(838\) | 30.5283 | + | 8.18003i | 1.05458 | + | 0.282574i | ||||
\(839\) | −44.3216 | − | 11.8759i | −1.53015 | − | 0.410003i | −0.607084 | − | 0.794638i | \(-0.707661\pi\) |
−0.923069 | + | 0.384634i | \(0.874328\pi\) | |||||||
\(840\) | −2.16691 | − | 3.21561i | −0.0747654 | − | 0.110949i | ||||
\(841\) | 5.73871 | + | 9.93973i | 0.197886 | + | 0.342749i | ||||
\(842\) | 5.29079 | − | 9.16391i | 0.182332 | − | 0.315809i | ||||
\(843\) | 0.674308 | + | 9.70410i | 0.0232244 | + | 0.334227i | ||||
\(844\) | 27.1043i | 0.932967i | ||||||||
\(845\) | −27.1054 | − | 10.5973i | −0.932455 | − | 0.364558i | ||||
\(846\) | 33.4933 | + | 13.5663i | 1.15152 | + | 0.466419i | ||||
\(847\) | −3.56303 | − | 13.2974i | −0.122427 | − | 0.456904i | ||||
\(848\) | 1.39808 | + | 0.807182i | 0.0480103 | + | 0.0277187i | ||||
\(849\) | 9.48421 | − | 3.26103i | 0.325497 | − | 0.111918i | ||||
\(850\) | 0.0210335 | − | 0.0210335i | 0.000721445 | − | 0.000721445i | ||||
\(851\) | −0.560750 | + | 2.09275i | −0.0192223 | + | 0.0717384i | ||||
\(852\) | 4.26832 | + | 2.08411i | 0.146230 | + | 0.0714005i | ||||
\(853\) | −23.7588 | − | 23.7588i | −0.813485 | − | 0.813485i | 0.171670 | − | 0.985155i | \(-0.445084\pi\) |
−0.985155 | + | 0.171670i | \(0.945084\pi\) | |||||||
\(854\) | 2.71743 | − | 1.56891i | 0.0929885 | − | 0.0536869i | ||||
\(855\) | 8.44630 | − | 6.58707i | 0.288857 | − | 0.225273i | ||||
\(856\) | 15.6926 | − | 4.20482i | 0.536362 | − | 0.143718i | ||||
\(857\) | −19.0007 | −0.649051 | −0.324525 | − | 0.945877i | \(-0.605205\pi\) | ||||
−0.324525 | + | 0.945877i | \(0.605205\pi\) | |||||||
\(858\) | −0.432853 | − | 31.0758i | −0.0147774 | − | 1.06091i | ||||
\(859\) | −5.67989 | −0.193795 | −0.0968976 | − | 0.995294i | \(-0.530892\pi\) | ||||
−0.0968976 | + | 0.995294i | \(0.530892\pi\) | |||||||
\(860\) | 16.9814 | − | 4.55014i | 0.579060 | − | 0.155159i | ||||
\(861\) | −4.55695 | − | 3.96480i | −0.155301 | − | 0.135120i | ||||
\(862\) | 25.3682 | − | 14.6464i | 0.864046 | − | 0.498857i | ||||
\(863\) | 4.75015 | + | 4.75015i | 0.161697 | + | 0.161697i | 0.783318 | − | 0.621621i | \(-0.213526\pi\) |
−0.621621 | + | 0.783318i | \(0.713526\pi\) | |||||||
\(864\) | 3.86606 | − | 3.47183i | 0.131526 | − | 0.118114i | ||||
\(865\) | 6.17339 | − | 23.0394i | 0.209901 | − | 0.783363i | ||||
\(866\) | −1.04404 | + | 1.04404i | −0.0354779 | + | 0.0354779i | ||||
\(867\) | −6.03765 | − | 17.5596i | −0.205049 | − | 0.596355i | ||||
\(868\) | 1.67699 | + | 0.968212i | 0.0569208 | + | 0.0328633i | ||||
\(869\) | 22.5966 | + | 84.3315i | 0.766536 | + | 2.86075i | ||||
\(870\) | 24.2146 | + | 4.71783i | 0.820950 | + | 0.159950i | ||||
\(871\) | 39.6394 | − | 20.0434i | 1.34313 | − | 0.679143i | ||||
\(872\) | − | 12.0274i | − | 0.407300i | ||||||
\(873\) | −6.05408 | + | 48.9522i | −0.204899 | + | 1.65678i | ||||
\(874\) | 0.903902 | − | 1.56560i | 0.0305750 | − | 0.0529574i | ||||
\(875\) | 5.58351 | + | 9.67093i | 0.188757 | + | 0.326937i | ||||
\(876\) | 17.5549 | − | 11.8298i | 0.593125 | − | 0.399691i | ||||
\(877\) | −5.82114 | − | 1.55977i | −0.196566 | − | 0.0526697i | 0.159193 | − | 0.987248i | \(-0.449111\pi\) |
−0.355759 | + | 0.934578i | \(0.615778\pi\) | |||||||
\(878\) | −5.04054 | − | 1.35061i | −0.170110 | − | 0.0455808i | ||||
\(879\) | 38.3284 | − | 25.8284i | 1.29279 | − | 0.871172i | ||||
\(880\) | 5.57060 | + | 9.64856i | 0.187785 | + | 0.325253i | ||||
\(881\) | −9.99592 | + | 17.3134i | −0.336771 | + | 0.583305i | −0.983823 | − | 0.179141i | \(-0.942668\pi\) |
0.647052 | + | 0.762446i | \(0.276002\pi\) | |||||||
\(882\) | 0.368215 | − | 2.97732i | 0.0123984 | − | 0.100251i | ||||
\(883\) | − | 49.8542i | − | 1.67773i | −0.544342 | − | 0.838863i | \(-0.683221\pi\) | ||
0.544342 | − | 0.838863i | \(-0.316779\pi\) | |||||||
\(884\) | −2.81851 | + | 8.58420i | −0.0947967 | + | 0.288718i | ||||
\(885\) | −21.0955 | − | 4.11013i | −0.709117 | − | 0.138161i | ||||
\(886\) | 8.10586 | + | 30.2515i | 0.272322 | + | 1.01632i | ||||
\(887\) | 48.5860 | + | 28.0511i | 1.63136 | + | 0.941865i | 0.983675 | + | 0.179954i | \(0.0575950\pi\) |
0.647682 | + | 0.761910i | \(0.275738\pi\) | |||||||
\(888\) | 1.07644 | + | 3.13065i | 0.0361228 | + | 0.105058i | ||||
\(889\) | −2.52523 | + | 2.52523i | −0.0846935 | + | 0.0846935i | ||||
\(890\) | 2.87307 | − | 10.7224i | 0.0963054 | − | 0.359417i | ||||
\(891\) | −23.0010 | − | 38.4323i | −0.770561 | − | 1.28753i | ||||
\(892\) | −5.89996 | − | 5.89996i | −0.197545 | − | 0.197545i | ||||
\(893\) | 16.6369 | − | 9.60530i | 0.556732 | − | 0.321429i | ||||
\(894\) | 7.50339 | + | 6.52836i | 0.250951 | + | 0.218341i | ||||
\(895\) | −24.5319 | + | 6.57330i | −0.820010 | + | 0.219721i | ||||
\(896\) | −1.00000 | −0.0334077 | ||||||||
\(897\) | −6.08064 | + | 3.62450i | −0.203027 | + | 0.121019i | ||||
\(898\) | −14.8342 | −0.495022 | ||||||||
\(899\) | −11.9001 | + | 3.18862i | −0.396891 | + | 0.106347i | ||||
\(900\) | 0.0280813 | − | 0.0219000i | 0.000936044 | − | 0.000729999i | ||||
\(901\) | −3.50342 | + | 2.02270i | −0.116716 | + | 0.0673859i | ||||
\(902\) | 12.2720 | + | 12.2720i | 0.408614 | + | 0.408614i | ||||
\(903\) | 12.2224 | + | 5.96789i | 0.406736 | + | 0.198599i | ||||
\(904\) | −0.158313 | + | 0.590832i | −0.00526541 | + | 0.0196508i | ||||
\(905\) | −33.3682 | + | 33.3682i | −1.10920 | + | 1.10920i | ||||
\(906\) | −11.0461 | + | 3.79807i | −0.366982 | + | 0.126183i | ||||
\(907\) | −15.4491 | − | 8.91954i | −0.512979 | − | 0.296169i | 0.221078 | − | 0.975256i | \(-0.429042\pi\) |
−0.734057 | + | 0.679087i | \(0.762376\pi\) | |||||||
\(908\) | −3.42193 | − | 12.7708i | −0.113561 | − | 0.423814i | ||||
\(909\) | 14.9471 | + | 6.05424i | 0.495763 | + | 0.200806i | ||||
\(910\) | 6.75599 | + | 4.41711i | 0.223959 | + | 0.146426i | ||||
\(911\) | − | 5.28604i | − | 0.175134i | −0.996159 | − | 0.0875671i | \(-0.972091\pi\) | ||
0.996159 | − | 0.0875671i | \(-0.0279092\pi\) | |||||||
\(912\) | −0.191485 | − | 2.75569i | −0.00634070 | − | 0.0912502i | ||||
\(913\) | 17.1694 | − | 29.7382i | 0.568223 | − | 0.984191i | ||||
\(914\) | −18.8714 | − | 32.6862i | −0.624211 | − | 1.08116i | ||||
\(915\) | 6.79935 | + | 10.0900i | 0.224780 | + | 0.333564i | ||||
\(916\) | −22.0647 | − | 5.91222i | −0.729038 | − | 0.195345i | ||||
\(917\) | 21.2155 | + | 5.68467i | 0.700596 | + | 0.187724i | ||||
\(918\) | 2.69048 | + | 12.7399i | 0.0887990 | + | 0.420480i | ||||
\(919\) | −21.8919 | − | 37.9178i | −0.722146 | − | 1.25079i | −0.960138 | − | 0.279527i | \(-0.909822\pi\) |
0.237992 | − | 0.971267i | \(-0.423511\pi\) | |||||||
\(920\) | 1.26883 | − | 2.19769i | 0.0418322 | − | 0.0724556i | ||||
\(921\) | 28.4291 | − | 1.97545i | 0.936772 | − | 0.0650934i | ||||
\(922\) | 21.3203i | 0.702147i | ||||||||
\(923\) | −9.87263 | − | 0.547973i | −0.324961 | − | 0.0180368i | ||||
\(924\) | −1.64842 | + | 8.46062i | −0.0542291 | + | 0.278334i | ||||
\(925\) | 0.00587221 | + | 0.0219154i | 0.000193077 | + | 0.000720573i | ||||
\(926\) | −16.6120 | − | 9.59095i | −0.545904 | − | 0.315178i | ||||
\(927\) | −31.2200 | + | 4.35982i | −1.02540 | + | 0.143195i | ||||
\(928\) | 4.49875 | − | 4.49875i | 0.147679 | − | 0.147679i | ||||
\(929\) | −10.3476 | + | 38.6176i | −0.339492 | + | 1.26700i | 0.559424 | + | 0.828882i | \(0.311022\pi\) |
−0.898916 | + | 0.438121i | \(0.855644\pi\) | |||||||
\(930\) | −3.29452 | + | 6.74728i | −0.108032 | + | 0.221252i | ||||
\(931\) | −1.12772 | − | 1.12772i | −0.0369595 | − | 0.0369595i | ||||
\(932\) | 2.27363 | − | 1.31268i | 0.0744753 | − | 0.0429983i | ||||
\(933\) | 37.4787 | − | 43.0762i | 1.22700 | − | 1.41025i | ||||
\(934\) | 16.8618 | − | 4.51811i | 0.551735 | − | 0.147837i | ||||
\(935\) | −27.9185 | −0.913033 | ||||||||
\(936\) | −4.61013 | + | 9.78502i | −0.150687 | + | 0.319834i | ||||
\(937\) | −6.59358 | −0.215403 | −0.107701 | − | 0.994183i | \(-0.534349\pi\) | ||||
−0.107701 | + | 0.994183i | \(0.534349\pi\) | |||||||
\(938\) | −11.8997 | + | 3.18853i | −0.388540 | + | 0.104109i | ||||
\(939\) | 0.533670 | − | 0.613375i | 0.0174157 | − | 0.0200167i | ||||
\(940\) | 23.3537 | − | 13.4832i | 0.761713 | − | 0.439775i | ||||
\(941\) | 35.0177 | + | 35.0177i | 1.14155 | + | 1.14155i | 0.988168 | + | 0.153377i | \(0.0490150\pi\) |
0.153377 | + | 0.988168i | \(0.450985\pi\) | |||||||
\(942\) | 2.82882 | − | 5.79351i | 0.0921681 | − | 0.188763i | ||||
\(943\) | 1.02313 | − | 3.81837i | 0.0333177 | − | 0.124343i | ||||
\(944\) | −3.91927 | + | 3.91927i | −0.127561 | + | 0.127561i | ||||
\(945\) | 11.6160 | + | 0.624064i | 0.377868 | + | 0.0203008i | ||||
\(946\) | −33.8448 | − | 19.5403i | −1.10039 | − | 0.635310i | ||||
\(947\) | −0.602447 | − | 2.24836i | −0.0195769 | − | 0.0730619i | 0.955446 | − | 0.295165i | \(-0.0953746\pi\) |
−0.975023 | + | 0.222103i | \(0.928708\pi\) | |||||||
\(948\) | 5.81099 | − | 29.8253i | 0.188732 | − | 0.968679i | ||||
\(949\) | −24.1143 | + | 36.8829i | −0.782782 | + | 1.19727i | ||||
\(950\) | − | 0.0189314i | − | 0.000614217i | ||||||
\(951\) | 19.7309 | − | 1.37104i | 0.639817 | − | 0.0444590i | ||||
\(952\) | 1.25294 | − | 2.17015i | 0.0406080 | − | 0.0703351i | ||||
\(953\) | 1.78680 | + | 3.09483i | 0.0578801 | + | 0.100251i | 0.893514 | − | 0.449036i | \(-0.148233\pi\) |
−0.835634 | + | 0.549287i | \(0.814899\pi\) | |||||||
\(954\) | −4.45974 | + | 1.88844i | −0.144390 | + | 0.0611406i | ||||
\(955\) | −30.8183 | − | 8.25773i | −0.997256 | − | 0.267214i | ||||
\(956\) | 26.2521 | + | 7.03423i | 0.849054 | + | 0.227503i | ||||
\(957\) | −30.6464 | − | 45.4780i | −0.990656 | − | 1.47010i | ||||
\(958\) | 4.31802 | + | 7.47903i | 0.139509 | + | 0.241637i | ||||
\(959\) | −1.99801 | + | 3.46066i | −0.0645191 | + | 0.111750i | ||||
\(960\) | −0.268793 | − | 3.86825i | −0.00867526 | − | 0.124847i | ||||
\(961\) | 27.2503i | 0.879041i | ||||||||
\(962\) | −4.59543 | − | 5.13554i | −0.148163 | − | 0.165577i | ||||
\(963\) | −18.2973 | + | 45.1735i | −0.589623 | + | 1.45570i | ||||
\(964\) | −2.64967 | − | 9.88872i | −0.0853403 | − | 0.318494i | ||||
\(965\) | −47.7766 | − | 27.5839i | −1.53798 | − | 0.887956i | ||||
\(966\) | 1.85666 | − | 0.638389i | 0.0597369 | − | 0.0205398i | ||||
\(967\) | −24.9932 | + | 24.9932i | −0.803729 | + | 0.803729i | −0.983676 | − | 0.179948i | \(-0.942407\pi\) |
0.179948 | + | 0.983676i | \(0.442407\pi\) | |||||||
\(968\) | 3.56303 | − | 13.2974i | 0.114520 | − | 0.427395i | ||||
\(969\) | 6.22020 | + | 3.03717i | 0.199822 | + | 0.0975678i | ||||
\(970\) | 26.0275 | + | 26.0275i | 0.835692 | + | 0.835692i | ||||
\(971\) | −13.1700 | + | 7.60373i | −0.422647 | + | 0.244015i | −0.696209 | − | 0.717839i | \(-0.745131\pi\) |
0.273562 | + | 0.961854i | \(0.411798\pi\) | |||||||
\(972\) | 1.32463 | + | 15.5321i | 0.0424877 | + | 0.498192i | ||||
\(973\) | 10.8613 | − | 2.91028i | 0.348198 | − | 0.0932994i | ||||
\(974\) | −0.743440 | −0.0238214 | ||||||||
\(975\) | −0.0361677 | + | 0.0647093i | −0.00115829 | + | 0.00207236i | ||||
\(976\) | 3.13782 | 0.100439 | ||||||||
\(977\) | 28.9604 | − | 7.75992i | 0.926526 | − | 0.248262i | 0.236153 | − | 0.971716i | \(-0.424113\pi\) |
0.690373 | + | 0.723454i | \(0.257447\pi\) | |||||||
\(978\) | −0.187148 | − | 0.162829i | −0.00598433 | − | 0.00520669i | ||||
\(979\) | −21.3704 | + | 12.3382i | −0.683001 | + | 0.394331i | ||||
\(980\) | −1.58301 | − | 1.58301i | −0.0505675 | − | 0.0505675i | ||||
\(981\) | 28.7976 | + | 21.7401i | 0.919436 | + | 0.694107i | ||||
\(982\) | 9.18707 | − | 34.2866i | 0.293171 | − | 1.09413i | ||||
\(983\) | −7.07354 | + | 7.07354i | −0.225611 | + | 0.225611i | −0.810856 | − | 0.585245i | \(-0.800998\pi\) |
0.585245 | + | 0.810856i | \(0.300998\pi\) | |||||||
\(984\) | −1.96404 | − | 5.71210i | −0.0626112 | − | 0.182095i | ||||
\(985\) | 25.7392 | + | 14.8605i | 0.820118 | + | 0.473496i | ||||
\(986\) | 4.12632 | + | 15.3996i | 0.131409 | + | 0.490424i | ||||
\(987\) | 20.4783 | + | 3.98989i | 0.651833 | + | 0.127000i | ||||
\(988\) | 2.59474 | + | 5.13156i | 0.0825495 | + | 0.163257i | ||||
\(989\) | 8.90152i | 0.283052i | ||||||||
\(990\) | −33.1709 | − | 4.10235i | −1.05424 | − | 0.130381i | ||||
\(991\) | −8.69196 | + | 15.0549i | −0.276109 | + | 0.478235i | −0.970414 | − | 0.241446i | \(-0.922378\pi\) |
0.694305 | + | 0.719681i | \(0.255712\pi\) | |||||||
\(992\) | 0.968212 | + | 1.67699i | 0.0307408 | + | 0.0532446i | ||||
\(993\) | −22.1834 | + | 14.9488i | −0.703970 | + | 0.474385i | ||||
\(994\) | 2.64894 | + | 0.709782i | 0.0840194 | + | 0.0225129i | ||||
\(995\) | 27.2255 | + | 7.29506i | 0.863108 | + | 0.231269i | ||||
\(996\) | −9.91094 | + | 6.67870i | −0.314040 | + | 0.211623i | ||||
\(997\) | 20.3712 | + | 35.2839i | 0.645162 | + | 1.11745i | 0.984264 | + | 0.176704i | \(0.0565435\pi\) |
−0.339102 | + | 0.940750i | \(0.610123\pi\) | |||||||
\(998\) | −19.5407 | + | 33.8455i | −0.618551 | + | 1.07136i | ||||
\(999\) | −9.44148 | − | 3.08144i | −0.298715 | − | 0.0974923i |
(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 | 546.2.bu.b.71.6 | yes | 56 | |
3.2 | odd | 2 | 546.2.bu.a.71.12 | ✓ | 56 | ||
13.11 | odd | 12 | 546.2.bu.a.323.12 | yes | 56 | ||
39.11 | even | 12 | inner | 546.2.bu.b.323.6 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.bu.a.71.12 | ✓ | 56 | 3.2 | odd | 2 | ||
546.2.bu.a.323.12 | yes | 56 | 13.11 | odd | 12 | ||
546.2.bu.b.71.6 | yes | 56 | 1.1 | even | 1 | trivial | |
546.2.bu.b.323.6 | yes | 56 | 39.11 | even | 12 | inner |