Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(143,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 34]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.143");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.bb (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 243.1 | ||
Character | \(\chi\) | \(=\) | 950.243 |
Dual form | 950.2.bb.d.907.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{11}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.422618 | − | 0.906308i | −0.298836 | − | 0.640856i | ||||
\(3\) | −2.62162 | − | 1.83568i | −1.51359 | − | 1.05983i | −0.976296 | − | 0.216438i | \(-0.930556\pi\) |
−0.537298 | − | 0.843392i | \(-0.680555\pi\) | |||||||
\(4\) | −0.642788 | + | 0.766044i | −0.321394 | + | 0.383022i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.555745 | + | 3.15179i | −0.226882 | + | 1.28671i | ||||
\(7\) | −0.894036 | − | 3.33659i | −0.337914 | − | 1.26111i | −0.900675 | − | 0.434493i | \(-0.856928\pi\) |
0.562761 | − | 0.826619i | \(-0.309739\pi\) | |||||||
\(8\) | 0.965926 | + | 0.258819i | 0.341506 | + | 0.0915064i | ||||
\(9\) | 2.47712 | + | 6.80584i | 0.825708 | + | 2.26861i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.707253 | − | 1.22500i | −0.213245 | − | 0.369351i | 0.739483 | − | 0.673175i | \(-0.235070\pi\) |
−0.952728 | + | 0.303824i | \(0.901736\pi\) | |||||||
\(12\) | 3.09136 | − | 0.828327i | 0.892398 | − | 0.239117i | ||||
\(13\) | 2.38073 | + | 3.40003i | 0.660295 | + | 0.942999i | 0.999997 | + | 0.00246562i | \(0.000784832\pi\) |
−0.339702 | + | 0.940533i | \(0.610326\pi\) | |||||||
\(14\) | −2.64614 | + | 2.22038i | −0.707211 | + | 0.593420i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.173648 | − | 0.984808i | −0.0434120 | − | 0.246202i | ||||
\(17\) | −4.06687 | + | 1.89641i | −0.986360 | + | 0.459947i | −0.847748 | − | 0.530399i | \(-0.822042\pi\) |
−0.138612 | + | 0.990347i | \(0.544264\pi\) | |||||||
\(18\) | 5.12131 | − | 5.12131i | 1.20710 | − | 1.20710i | ||||
\(19\) | 2.09775 | + | 3.82092i | 0.481258 | + | 0.876579i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −3.78108 | + | 10.3884i | −0.825100 | + | 2.26694i | ||||
\(22\) | −0.811327 | + | 1.15869i | −0.172975 | + | 0.247035i | ||||
\(23\) | 0.672892 | + | 7.69119i | 0.140308 | + | 1.60372i | 0.661272 | + | 0.750146i | \(0.270017\pi\) |
−0.520964 | + | 0.853578i | \(0.674428\pi\) | |||||||
\(24\) | −2.05718 | − | 2.45166i | −0.419921 | − | 0.500442i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 2.07534 | − | 3.59459i | 0.407007 | − | 0.704956i | ||||
\(27\) | 3.51428 | − | 13.1155i | 0.676324 | − | 2.52407i | ||||
\(28\) | 3.13065 | + | 1.45985i | 0.591637 | + | 0.275885i | ||||
\(29\) | 1.30483 | − | 0.474920i | 0.242301 | − | 0.0881905i | −0.218015 | − | 0.975945i | \(-0.569958\pi\) |
0.460316 | + | 0.887755i | \(0.347736\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.89915 | − | 1.67383i | −0.520703 | − | 0.300628i | 0.216519 | − | 0.976278i | \(-0.430530\pi\) |
−0.737222 | + | 0.675650i | \(0.763863\pi\) | |||||||
\(32\) | −0.819152 | + | 0.573576i | −0.144807 | + | 0.101395i | ||||
\(33\) | −0.394554 | + | 4.50977i | −0.0686830 | + | 0.785050i | ||||
\(34\) | 3.43746 | + | 2.88438i | 0.589520 | + | 0.494666i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −6.80584 | − | 2.47712i | −1.13431 | − | 0.412854i | ||||
\(37\) | 6.36094 | + | 6.36094i | 1.04573 | + | 1.04573i | 0.998903 | + | 0.0468293i | \(0.0149117\pi\) |
0.0468293 | + | 0.998903i | \(0.485088\pi\) | |||||||
\(38\) | 2.57638 | − | 3.51600i | 0.417944 | − | 0.570371i | ||||
\(39\) | − | 13.2838i | − | 2.12712i | ||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.61046 | − | 0.989276i | 0.876207 | − | 0.154499i | 0.282584 | − | 0.959242i | \(-0.408808\pi\) |
0.593623 | + | 0.804744i | \(0.297697\pi\) | |||||||
\(42\) | 11.0131 | − | 0.963520i | 1.69936 | − | 0.148674i | ||||
\(43\) | 2.01898 | + | 0.176638i | 0.307892 | + | 0.0269370i | 0.240055 | − | 0.970759i | \(-0.422835\pi\) |
0.0678370 | + | 0.997696i | \(0.478390\pi\) | |||||||
\(44\) | 1.39302 | + | 0.245626i | 0.210005 | + | 0.0370295i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.68621 | − | 3.86029i | 0.985828 | − | 0.569168i | ||||
\(47\) | 3.91266 | − | 8.39073i | 0.570720 | − | 1.22391i | −0.383148 | − | 0.923687i | \(-0.625160\pi\) |
0.953868 | − | 0.300226i | \(-0.0970622\pi\) | |||||||
\(48\) | −1.35255 | + | 2.90056i | −0.195224 | + | 0.418659i | ||||
\(49\) | −4.27135 | + | 2.46606i | −0.610192 | + | 0.352295i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 14.1430 | + | 2.49379i | 1.98042 | + | 0.349201i | ||||
\(52\) | −4.13488 | − | 0.361755i | −0.573404 | − | 0.0501664i | ||||
\(53\) | −10.3675 | + | 0.907035i | −1.42408 | + | 0.124591i | −0.772994 | − | 0.634413i | \(-0.781242\pi\) |
−0.651086 | + | 0.759004i | \(0.725686\pi\) | |||||||
\(54\) | −13.3719 | + | 2.35782i | −1.81968 | + | 0.320859i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | − | 3.45429i | − | 0.461599i | ||||||
\(57\) | 1.51446 | − | 13.8678i | 0.200596 | − | 1.83684i | ||||
\(58\) | −0.981870 | − | 0.981870i | −0.128926 | − | 0.128926i | ||||
\(59\) | −3.03420 | − | 1.10436i | −0.395019 | − | 0.143775i | 0.136870 | − | 0.990589i | \(-0.456296\pi\) |
−0.531890 | + | 0.846814i | \(0.678518\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.74896 | − | 2.30665i | −0.351968 | − | 0.295336i | 0.449612 | − | 0.893224i | \(-0.351562\pi\) |
−0.801580 | + | 0.597888i | \(0.796007\pi\) | |||||||
\(62\) | −0.291767 | + | 3.33491i | −0.0370544 | + | 0.423534i | ||||
\(63\) | 20.4937 | − | 14.3498i | 2.58196 | − | 1.80791i | ||||
\(64\) | 0.866025 | + | 0.500000i | 0.108253 | + | 0.0625000i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 4.25399 | − | 1.54832i | 0.523629 | − | 0.190586i | ||||
\(67\) | −10.4937 | − | 4.89327i | −1.28200 | − | 0.597809i | −0.342234 | − | 0.939615i | \(-0.611184\pi\) |
−0.939771 | + | 0.341806i | \(0.888961\pi\) | |||||||
\(68\) | 1.16140 | − | 4.33439i | 0.140840 | − | 0.525622i | ||||
\(69\) | 12.3545 | − | 21.3986i | 1.48731 | − | 2.57609i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.59774 | + | 7.86288i | 0.783007 | + | 0.933152i | 0.999065 | − | 0.0432289i | \(-0.0137645\pi\) |
−0.216058 | + | 0.976381i | \(0.569320\pi\) | |||||||
\(72\) | 0.631236 | + | 7.21506i | 0.0743919 | + | 0.850304i | ||||
\(73\) | 4.39706 | − | 6.27966i | 0.514637 | − | 0.734978i | −0.474776 | − | 0.880107i | \(-0.657471\pi\) |
0.989413 | + | 0.145129i | \(0.0463596\pi\) | |||||||
\(74\) | 3.07672 | − | 8.45322i | 0.357661 | − | 0.982667i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.27540 | − | 0.849067i | −0.490423 | − | 0.0973946i | ||||
\(77\) | −3.45500 | + | 3.45500i | −0.393734 | + | 0.393734i | ||||
\(78\) | −12.0393 | + | 5.61400i | −1.36318 | + | 0.635660i | ||||
\(79\) | 0.384302 | + | 2.17948i | 0.0432373 | + | 0.245211i | 0.998765 | − | 0.0496917i | \(-0.0158239\pi\) |
−0.955527 | + | 0.294903i | \(0.904713\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −16.6444 | + | 13.9663i | −1.84938 | + | 1.55181i | ||||
\(82\) | −3.26767 | − | 4.66672i | −0.360854 | − | 0.515353i | ||||
\(83\) | −3.28743 | + | 0.880864i | −0.360842 | + | 0.0966873i | −0.434685 | − | 0.900583i | \(-0.643140\pi\) |
0.0738430 | + | 0.997270i | \(0.476474\pi\) | |||||||
\(84\) | −5.52757 | − | 9.57404i | −0.603108 | − | 1.04461i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.693169 | − | 1.90447i | −0.0747464 | − | 0.205364i | ||||
\(87\) | −4.29258 | − | 1.15019i | −0.460213 | − | 0.123314i | ||||
\(88\) | −0.366101 | − | 1.36631i | −0.0390265 | − | 0.145649i | ||||
\(89\) | −2.33167 | + | 13.2236i | −0.247157 | + | 1.40169i | 0.568274 | + | 0.822840i | \(0.307611\pi\) |
−0.815430 | + | 0.578855i | \(0.803500\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 9.21605 | − | 10.9833i | 0.966104 | − | 1.15136i | ||||
\(92\) | −6.32432 | − | 4.42834i | −0.659356 | − | 0.461686i | ||||
\(93\) | 4.52787 | + | 9.71005i | 0.469518 | + | 1.00689i | ||||
\(94\) | −9.25814 | −0.954905 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.20041 | 0.326640 | ||||||||
\(97\) | 7.27665 | + | 15.6048i | 0.738832 | + | 1.58443i | 0.809630 | + | 0.586940i | \(0.199668\pi\) |
−0.0707980 | + | 0.997491i | \(0.522555\pi\) | |||||||
\(98\) | 4.04016 | + | 2.82895i | 0.408118 | + | 0.285767i | ||||
\(99\) | 6.58519 | − | 7.84792i | 0.661836 | − | 0.788746i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.708506 | − | 4.01814i | 0.0704990 | − | 0.399819i | −0.929055 | − | 0.369943i | \(-0.879377\pi\) |
0.999554 | − | 0.0298769i | \(-0.00951152\pi\) | |||||||
\(102\) | −3.71695 | − | 13.8718i | −0.368032 | − | 1.37352i | ||||
\(103\) | 11.1090 | + | 2.97664i | 1.09460 | + | 0.293297i | 0.760563 | − | 0.649264i | \(-0.224923\pi\) |
0.334035 | + | 0.942561i | \(0.391590\pi\) | |||||||
\(104\) | 1.41961 | + | 3.90035i | 0.139204 | + | 0.382461i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.20353 | + | 9.01278i | 0.505412 | + | 0.875399i | ||||
\(107\) | 17.5550 | − | 4.70383i | 1.69710 | − | 0.454737i | 0.724894 | − | 0.688860i | \(-0.241889\pi\) |
0.972207 | + | 0.234123i | \(0.0752219\pi\) | |||||||
\(108\) | 7.78810 | + | 11.1226i | 0.749410 | + | 1.07027i | ||||
\(109\) | 11.7220 | − | 9.83595i | 1.12277 | − | 0.942113i | 0.124026 | − | 0.992279i | \(-0.460419\pi\) |
0.998741 | + | 0.0501656i | \(0.0159749\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −4.99933 | − | 28.3526i | −0.474516 | − | 2.69111i | ||||
\(112\) | −3.13065 | + | 1.45985i | −0.295819 | + | 0.137943i | ||||
\(113\) | −8.96692 | + | 8.96692i | −0.843537 | + | 0.843537i | −0.989317 | − | 0.145780i | \(-0.953431\pi\) |
0.145780 | + | 0.989317i | \(0.453431\pi\) | |||||||
\(114\) | −13.2085 | + | 4.48822i | −1.23709 | + | 0.420360i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −0.474920 | + | 1.30483i | −0.0440953 | + | 0.121151i | ||||
\(117\) | −17.2427 | + | 24.6251i | −1.59409 | + | 2.27660i | ||||
\(118\) | 0.281420 | + | 3.21664i | 0.0259068 | + | 0.296116i | ||||
\(119\) | 9.96347 | + | 11.8740i | 0.913350 | + | 1.08849i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.49959 | − | 7.79351i | 0.409053 | − | 0.708501i | ||||
\(122\) | −0.928775 | + | 3.46624i | −0.0840874 | + | 0.313818i | ||||
\(123\) | −16.5245 | − | 7.70550i | −1.48996 | − | 0.694782i | ||||
\(124\) | 3.14576 | − | 1.14496i | 0.282498 | − | 0.102821i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −21.6663 | − | 12.5091i | −1.93019 | − | 1.11440i | ||||
\(127\) | −4.87205 | + | 3.41145i | −0.432325 | + | 0.302717i | −0.769408 | − | 0.638758i | \(-0.779449\pi\) |
0.337083 | + | 0.941475i | \(0.390560\pi\) | |||||||
\(128\) | 0.0871557 | − | 0.996195i | 0.00770355 | − | 0.0880520i | ||||
\(129\) | −4.96875 | − | 4.16928i | −0.437474 | − | 0.367084i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −12.4984 | − | 4.54905i | −1.09199 | − | 0.397453i | −0.267634 | − | 0.963521i | \(-0.586242\pi\) |
−0.824358 | + | 0.566068i | \(0.808464\pi\) | |||||||
\(132\) | −3.20107 | − | 3.20107i | −0.278617 | − | 0.278617i | ||||
\(133\) | 10.8734 | − | 10.4154i | 0.942841 | − | 0.903128i | ||||
\(134\) | 11.5785i | 1.00023i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.41912 | + | 0.779210i | −0.378936 | + | 0.0668167i | ||||
\(137\) | 6.54756 | − | 0.572837i | 0.559396 | − | 0.0489408i | 0.196048 | − | 0.980594i | \(-0.437189\pi\) |
0.363348 | + | 0.931653i | \(0.381634\pi\) | |||||||
\(138\) | −24.6150 | − | 2.15353i | −2.09537 | − | 0.183321i | ||||
\(139\) | 5.50395 | + | 0.970495i | 0.466839 | + | 0.0823163i | 0.402120 | − | 0.915587i | \(-0.368274\pi\) |
0.0647196 | + | 0.997903i | \(0.479385\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −25.6602 | + | 14.8149i | −2.16098 | + | 1.24764i | ||||
\(142\) | 4.33786 | − | 9.30257i | 0.364025 | − | 0.780655i | ||||
\(143\) | 2.48125 | − | 5.32106i | 0.207493 | − | 0.444970i | ||||
\(144\) | 6.27230 | − | 3.62131i | 0.522691 | − | 0.301776i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −7.54958 | − | 1.33119i | −0.624808 | − | 0.110170i | ||||
\(147\) | 15.7248 | + | 1.37574i | 1.29696 | + | 0.113469i | ||||
\(148\) | −8.96150 | + | 0.784029i | −0.736631 | + | 0.0644468i | ||||
\(149\) | −5.41753 | + | 0.955256i | −0.443821 | + | 0.0782576i | −0.391093 | − | 0.920351i | \(-0.627903\pi\) |
−0.0527283 | + | 0.998609i | \(0.516792\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 23.7223i | 1.93049i | 0.261347 | + | 0.965245i | \(0.415833\pi\) | ||||
−0.261347 | + | 0.965245i | \(0.584167\pi\) | |||||||
\(152\) | 1.03735 | + | 4.23366i | 0.0841401 | + | 0.343395i | ||||
\(153\) | −22.9808 | − | 22.9808i | −1.85789 | − | 1.85789i | ||||
\(154\) | 4.59144 | + | 1.67115i | 0.369989 | + | 0.134665i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 10.1760 | + | 8.53869i | 0.814733 | + | 0.683643i | ||||
\(157\) | 0.340258 | − | 3.88916i | 0.0271555 | − | 0.310389i | −0.970454 | − | 0.241286i | \(-0.922431\pi\) |
0.997610 | − | 0.0691029i | \(-0.0220137\pi\) | |||||||
\(158\) | 1.81287 | − | 1.26939i | 0.144224 | − | 0.100987i | ||||
\(159\) | 28.8446 | + | 16.6534i | 2.28753 | + | 1.32070i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 25.0608 | − | 9.12137i | 1.97506 | − | 0.718865i | ||||
\(162\) | 19.6920 | + | 9.18254i | 1.54715 | + | 0.721449i | ||||
\(163\) | −1.21575 | + | 4.53725i | −0.0952250 | + | 0.355385i | −0.997053 | − | 0.0767096i | \(-0.975559\pi\) |
0.901828 | + | 0.432094i | \(0.142225\pi\) | |||||||
\(164\) | −2.84851 | + | 4.93376i | −0.222431 | + | 0.385262i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 2.18766 | + | 2.60715i | 0.169795 | + | 0.202354i | ||||
\(167\) | 0.515520 | + | 5.89242i | 0.0398921 | + | 0.455969i | 0.989702 | + | 0.143142i | \(0.0457205\pi\) |
−0.949810 | + | 0.312827i | \(0.898724\pi\) | |||||||
\(168\) | −6.34097 | + | 9.05585i | −0.489217 | + | 0.698674i | ||||
\(169\) | −1.44608 | + | 3.97308i | −0.111237 | + | 0.305622i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −20.8082 | + | 23.7419i | −1.59124 | + | 1.81559i | ||||
\(172\) | −1.43309 | + | 1.43309i | −0.109272 | + | 0.109272i | ||||
\(173\) | −8.11112 | + | 3.78228i | −0.616677 | + | 0.287561i | −0.705747 | − | 0.708464i | \(-0.749388\pi\) |
0.0890696 | + | 0.996025i | \(0.471611\pi\) | |||||||
\(174\) | 0.771694 | + | 4.37649i | 0.0585020 | + | 0.331781i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.08357 | + | 0.909226i | −0.0816774 | + | 0.0685355i | ||||
\(177\) | 5.92728 | + | 8.46503i | 0.445522 | + | 0.636271i | ||||
\(178\) | 12.9700 | − | 3.47531i | 0.972144 | − | 0.260485i | ||||
\(179\) | 10.3502 | + | 17.9270i | 0.773608 | + | 1.33993i | 0.935573 | + | 0.353132i | \(0.114883\pi\) |
−0.161965 | + | 0.986796i | \(0.551783\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.649214 | − | 1.78370i | −0.0482557 | − | 0.132581i | 0.913224 | − | 0.407459i | \(-0.133585\pi\) |
−0.961479 | + | 0.274877i | \(0.911363\pi\) | |||||||
\(182\) | −13.8491 | − | 3.71085i | −1.02656 | − | 0.275066i | ||||
\(183\) | 2.97246 | + | 11.0934i | 0.219731 | + | 0.820046i | ||||
\(184\) | −1.34066 | + | 7.60328i | −0.0988350 | + | 0.560521i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 6.88673 | − | 8.20729i | 0.504960 | − | 0.601788i | ||||
\(187\) | 5.19940 | + | 3.64066i | 0.380218 | + | 0.266231i | ||||
\(188\) | 3.91266 | + | 8.39073i | 0.285360 | + | 0.611957i | ||||
\(189\) | −46.9028 | −3.41168 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4.97260 | −0.359805 | −0.179902 | − | 0.983684i | \(-0.557578\pi\) | ||||
−0.179902 | + | 0.983684i | \(0.557578\pi\) | |||||||
\(192\) | −1.35255 | − | 2.90056i | −0.0976120 | − | 0.209330i | ||||
\(193\) | 11.6682 | + | 8.17020i | 0.839899 | + | 0.588104i | 0.912416 | − | 0.409264i | \(-0.134214\pi\) |
−0.0725172 | + | 0.997367i | \(0.523103\pi\) | |||||||
\(194\) | 11.0675 | − | 13.1898i | 0.794603 | − | 0.946971i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.856455 | − | 4.85720i | 0.0611753 | − | 0.346943i | ||||
\(197\) | 3.17595 | + | 11.8528i | 0.226277 | + | 0.844477i | 0.981889 | + | 0.189457i | \(0.0606729\pi\) |
−0.755612 | + | 0.655019i | \(0.772660\pi\) | |||||||
\(198\) | −9.89565 | − | 2.65153i | −0.703253 | − | 0.188436i | ||||
\(199\) | 4.07663 | + | 11.2005i | 0.288985 | + | 0.793979i | 0.996209 | + | 0.0869901i | \(0.0277249\pi\) |
−0.707224 | + | 0.706989i | \(0.750053\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 18.5279 | + | 32.0913i | 1.30686 | + | 2.26355i | ||||
\(202\) | −3.94109 | + | 1.05601i | −0.277294 | + | 0.0743008i | ||||
\(203\) | −2.75118 | − | 3.92910i | −0.193095 | − | 0.275768i | ||||
\(204\) | −11.0013 | + | 9.23118i | −0.770245 | + | 0.646312i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −1.99710 | − | 11.3261i | −0.139145 | − | 0.789128i | ||||
\(207\) | −50.6782 | + | 23.6316i | −3.52238 | + | 1.64251i | ||||
\(208\) | 2.93497 | − | 2.93497i | 0.203503 | − | 0.203503i | ||||
\(209\) | 3.19697 | − | 5.27210i | 0.221139 | − | 0.364679i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 3.89642 | − | 10.7053i | 0.268240 | − | 0.736984i | −0.730308 | − | 0.683118i | \(-0.760623\pi\) |
0.998548 | − | 0.0538660i | \(-0.0171544\pi\) | |||||||
\(212\) | 5.96925 | − | 8.52497i | 0.409970 | − | 0.585497i | ||||
\(213\) | −2.86305 | − | 32.7248i | −0.196173 | − | 2.24227i | ||||
\(214\) | −11.6822 | − | 13.9223i | −0.798576 | − | 0.951706i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 6.78907 | − | 11.7590i | 0.461938 | − | 0.800100i | ||||
\(217\) | −2.99292 | + | 11.1697i | −0.203173 | + | 0.758251i | ||||
\(218\) | −13.8683 | − | 6.46692i | −0.939283 | − | 0.437995i | ||||
\(219\) | −23.0549 | + | 8.39129i | −1.55790 | + | 0.567031i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −16.1300 | − | 9.31263i | −1.08502 | − | 0.626436i | ||||
\(222\) | −23.5834 | + | 16.5133i | −1.58281 | + | 1.10830i | ||||
\(223\) | −1.17005 | + | 13.3737i | −0.0783521 | + | 0.895568i | 0.850708 | + | 0.525639i | \(0.176174\pi\) |
−0.929060 | + | 0.369929i | \(0.879382\pi\) | |||||||
\(224\) | 2.64614 | + | 2.22038i | 0.176803 | + | 0.148355i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 11.9164 | + | 4.33721i | 0.792666 | + | 0.288507i | ||||
\(227\) | 1.01378 | + | 1.01378i | 0.0672869 | + | 0.0672869i | 0.739949 | − | 0.672663i | \(-0.234849\pi\) |
−0.672663 | + | 0.739949i | \(0.734849\pi\) | |||||||
\(228\) | 9.64988 | + | 10.0742i | 0.639079 | + | 0.667181i | ||||
\(229\) | − | 13.1010i | − | 0.865737i | −0.901457 | − | 0.432869i | \(-0.857501\pi\) | ||
0.901457 | − | 0.432869i | \(-0.142499\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 15.4000 | − | 2.71543i | 1.01325 | − | 0.178662i | ||||
\(232\) | 1.38329 | − | 0.121022i | 0.0908175 | − | 0.00794550i | ||||
\(233\) | 0.811168 | + | 0.0709680i | 0.0531414 | + | 0.00464927i | 0.113695 | − | 0.993516i | \(-0.463731\pi\) |
−0.0605541 | + | 0.998165i | \(0.519287\pi\) | |||||||
\(234\) | 29.6050 | + | 5.22017i | 1.93534 | + | 0.341253i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.79633 | − | 1.61446i | 0.182026 | − | 0.105093i | ||||
\(237\) | 2.99334 | − | 6.41924i | 0.194438 | − | 0.416974i | ||||
\(238\) | 6.55076 | − | 14.0481i | 0.424622 | − | 0.910606i | ||||
\(239\) | −18.0452 | + | 10.4184i | −1.16725 | + | 0.673910i | −0.953030 | − | 0.302876i | \(-0.902053\pi\) |
−0.214217 | + | 0.976786i | \(0.568720\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 22.7312 | + | 4.00813i | 1.46425 | + | 0.258186i | 0.848264 | − | 0.529573i | \(-0.177648\pi\) |
0.615983 | + | 0.787760i | \(0.288759\pi\) | |||||||
\(242\) | −8.96493 | − | 0.784330i | −0.576288 | − | 0.0504186i | ||||
\(243\) | 28.6937 | − | 2.51037i | 1.84070 | − | 0.161040i | ||||
\(244\) | 3.53400 | − | 0.623139i | 0.226241 | − | 0.0398924i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 18.2328i | 1.16248i | ||||||||
\(247\) | −7.99706 | + | 16.2290i | −0.508841 | + | 1.03263i | ||||
\(248\) | −2.36715 | − | 2.36715i | −0.150314 | − | 0.150314i | ||||
\(249\) | 10.2354 | + | 3.72537i | 0.648641 | + | 0.236086i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 4.00063 | + | 3.35693i | 0.252518 | + | 0.211887i | 0.760255 | − | 0.649624i | \(-0.225074\pi\) |
−0.507738 | + | 0.861512i | \(0.669518\pi\) | |||||||
\(252\) | −2.18047 | + | 24.9229i | −0.137357 | + | 1.57000i | ||||
\(253\) | 8.94579 | − | 6.26391i | 0.562417 | − | 0.393808i | ||||
\(254\) | 5.15084 | + | 2.97384i | 0.323192 | + | 0.186595i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −14.4740 | − | 6.74936i | −0.902866 | − | 0.421013i | −0.0849729 | − | 0.996383i | \(-0.527080\pi\) |
−0.817893 | + | 0.575370i | \(0.804858\pi\) | |||||||
\(258\) | −1.67876 | + | 6.26523i | −0.104515 | + | 0.390056i | ||||
\(259\) | 15.5369 | − | 26.9108i | 0.965418 | − | 1.67215i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 6.46447 | + | 7.70405i | 0.400140 | + | 0.476869i | ||||
\(262\) | 1.15922 | + | 13.2499i | 0.0716168 | + | 0.818583i | ||||
\(263\) | −2.82412 | + | 4.03326i | −0.174143 | + | 0.248702i | −0.896730 | − | 0.442578i | \(-0.854064\pi\) |
0.722587 | + | 0.691280i | \(0.242953\pi\) | |||||||
\(264\) | −1.54832 | + | 4.25399i | −0.0952928 | + | 0.261815i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −14.0348 | − | 5.45289i | −0.860531 | − | 0.334338i | ||||
\(267\) | 30.3870 | − | 30.3870i | 1.85965 | − | 1.85965i | ||||
\(268\) | 10.4937 | − | 4.89327i | 0.641002 | − | 0.298904i | ||||
\(269\) | −1.50061 | − | 8.51040i | −0.0914940 | − | 0.518888i | −0.995765 | − | 0.0919302i | \(-0.970696\pi\) |
0.904271 | − | 0.426958i | \(-0.140415\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.73615 | − | 3.97410i | 0.287701 | − | 0.241410i | −0.487502 | − | 0.873122i | \(-0.662092\pi\) |
0.775203 | + | 0.631712i | \(0.217647\pi\) | |||||||
\(272\) | 2.57380 | + | 3.67577i | 0.156060 | + | 0.222877i | ||||
\(273\) | −44.3227 | + | 11.8762i | −2.68253 | + | 0.718783i | ||||
\(274\) | −3.28629 | − | 5.69201i | −0.198532 | − | 0.343867i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 8.45097 | + | 23.2189i | 0.508689 | + | 1.39761i | ||||
\(277\) | 17.9629 | + | 4.81316i | 1.07929 | + | 0.289195i | 0.754304 | − | 0.656525i | \(-0.227974\pi\) |
0.324984 | + | 0.945719i | \(0.394641\pi\) | |||||||
\(278\) | −1.44650 | − | 5.39842i | −0.0867555 | − | 0.323776i | ||||
\(279\) | 4.21024 | − | 23.8774i | 0.252060 | − | 1.42950i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −7.41687 | + | 8.83908i | −0.442453 | + | 0.527295i | −0.940472 | − | 0.339871i | \(-0.889617\pi\) |
0.498019 | + | 0.867166i | \(0.334061\pi\) | |||||||
\(282\) | 24.2714 | + | 16.9950i | 1.44534 | + | 1.01204i | ||||
\(283\) | 2.21273 | + | 4.74521i | 0.131533 | + | 0.282074i | 0.961033 | − | 0.276433i | \(-0.0891524\pi\) |
−0.829500 | + | 0.558506i | \(0.811375\pi\) | |||||||
\(284\) | −10.2643 | −0.609072 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.87114 | −0.347168 | ||||||||
\(287\) | −8.31676 | − | 17.8354i | −0.490923 | − | 1.05279i | ||||
\(288\) | −5.93281 | − | 4.15420i | −0.349594 | − | 0.244789i | ||||
\(289\) | 2.01565 | − | 2.40215i | 0.118567 | − | 0.141303i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 9.56884 | − | 54.2676i | 0.560935 | − | 3.18122i | ||||
\(292\) | 1.98412 | + | 7.40483i | 0.116112 | + | 0.433335i | ||||
\(293\) | −12.5741 | − | 3.36921i | −0.734584 | − | 0.196831i | −0.127914 | − | 0.991785i | \(-0.540828\pi\) |
−0.606670 | + | 0.794954i | \(0.707495\pi\) | |||||||
\(294\) | −5.39873 | − | 14.8329i | −0.314860 | − | 0.865071i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 4.49786 | + | 7.79053i | 0.261433 | + | 0.452815i | ||||
\(297\) | −18.5519 | + | 4.97097i | −1.07649 | + | 0.288445i | ||||
\(298\) | 3.15530 | + | 4.50624i | 0.182782 | + | 0.261039i | ||||
\(299\) | −24.5483 | + | 20.5985i | −1.41967 | + | 1.19124i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.21567 | − | 6.89443i | −0.0700702 | − | 0.397388i | ||||
\(302\) | 21.4997 | − | 10.0255i | 1.23717 | − | 0.576900i | ||||
\(303\) | −9.23344 | + | 9.23344i | −0.530448 | + | 0.530448i | ||||
\(304\) | 3.39860 | − | 2.72938i | 0.194923 | − | 0.156541i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −11.1156 | + | 30.5398i | −0.635435 | + | 1.74584i | ||||
\(307\) | 4.68539 | − | 6.69143i | 0.267409 | − | 0.381900i | −0.662881 | − | 0.748725i | \(-0.730666\pi\) |
0.930290 | + | 0.366825i | \(0.119555\pi\) | |||||||
\(308\) | −0.425853 | − | 4.86752i | −0.0242652 | − | 0.277353i | ||||
\(309\) | −23.6594 | − | 28.1961i | −1.34593 | − | 1.60402i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 3.55758 | − | 6.16191i | 0.201732 | − | 0.349410i | −0.747355 | − | 0.664425i | \(-0.768676\pi\) |
0.949087 | + | 0.315015i | \(0.102010\pi\) | |||||||
\(312\) | 3.43811 | − | 12.8312i | 0.194645 | − | 0.726424i | ||||
\(313\) | 5.71815 | + | 2.66642i | 0.323209 | + | 0.150715i | 0.577450 | − | 0.816426i | \(-0.304048\pi\) |
−0.254241 | + | 0.967141i | \(0.581826\pi\) | |||||||
\(314\) | −3.66858 | + | 1.33525i | −0.207030 | + | 0.0753527i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.91661 | − | 1.10655i | −0.107817 | − | 0.0622484i | ||||
\(317\) | 6.28743 | − | 4.40251i | 0.353137 | − | 0.247269i | −0.383525 | − | 0.923531i | \(-0.625290\pi\) |
0.736662 | + | 0.676261i | \(0.236401\pi\) | |||||||
\(318\) | 2.90289 | − | 33.1801i | 0.162786 | − | 1.86065i | ||||
\(319\) | −1.50462 | − | 1.26253i | −0.0842427 | − | 0.0706880i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −54.6572 | − | 19.8936i | −3.05067 | − | 1.11035i | ||||
\(322\) | −18.8579 | − | 18.8579i | −1.05091 | − | 1.05091i | ||||
\(323\) | −15.7773 | − | 11.5610i | −0.877874 | − | 0.643269i | ||||
\(324\) | − | 21.7277i | − | 1.20710i | ||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 4.62594 | − | 0.815678i | 0.256207 | − | 0.0451762i | ||||
\(327\) | −48.7864 | + | 4.26826i | −2.69789 | + | 0.236035i | ||||
\(328\) | 5.67533 | + | 0.496527i | 0.313368 | + | 0.0274161i | ||||
\(329\) | −31.4945 | − | 5.55332i | −1.73635 | − | 0.306165i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 22.8196 | − | 13.1749i | 1.25428 | − | 0.724160i | 0.282324 | − | 0.959319i | \(-0.408895\pi\) |
0.971957 | + | 0.235159i | \(0.0755612\pi\) | |||||||
\(332\) | 1.43834 | − | 3.08452i | 0.0789390 | − | 0.169285i | ||||
\(333\) | −27.5347 | + | 59.0484i | −1.50889 | + | 3.23583i | ||||
\(334\) | 5.12248 | − | 2.95746i | 0.280290 | − | 0.161825i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 10.8872 | + | 1.91971i | 0.593945 | + | 0.104729i | ||||
\(337\) | 17.8145 | + | 1.55857i | 0.970417 | + | 0.0849005i | 0.561328 | − | 0.827594i | \(-0.310291\pi\) |
0.409090 | + | 0.912494i | \(0.365846\pi\) | |||||||
\(338\) | 4.21197 | − | 0.368500i | 0.229101 | − | 0.0200438i | ||||
\(339\) | 39.9683 | − | 7.04749i | 2.17078 | − | 0.382767i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 4.73527i | 0.256429i | ||||||||
\(342\) | 30.3114 | + | 8.82486i | 1.63905 | + | 0.477194i | ||||
\(343\) | −5.05089 | − | 5.05089i | −0.272723 | − | 0.272723i | ||||
\(344\) | 1.90447 | + | 0.693169i | 0.102682 | + | 0.0373732i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.85582 | + | 5.75271i | 0.368571 | + | 0.309268i | ||||
\(347\) | 1.00272 | − | 11.4611i | 0.0538288 | − | 0.615266i | −0.920591 | − | 0.390529i | \(-0.872292\pi\) |
0.974419 | − | 0.224737i | \(-0.0721524\pi\) | |||||||
\(348\) | 3.64032 | − | 2.54898i | 0.195142 | − | 0.136640i | ||||
\(349\) | −2.71591 | − | 1.56803i | −0.145380 | − | 0.0839349i | 0.425546 | − | 0.904937i | \(-0.360082\pi\) |
−0.570925 | + | 0.821002i | \(0.693415\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 52.9596 | − | 19.2757i | 2.82677 | − | 1.02886i | ||||
\(352\) | 1.28198 | + | 0.597796i | 0.0683296 | + | 0.0318626i | ||||
\(353\) | 8.03081 | − | 29.9714i | 0.427437 | − | 1.59522i | −0.331107 | − | 0.943593i | \(-0.607422\pi\) |
0.758544 | − | 0.651622i | \(-0.225911\pi\) | |||||||
\(354\) | 5.16695 | − | 8.94942i | 0.274620 | − | 0.475656i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −8.63107 | − | 10.2861i | −0.457446 | − | 0.545162i | ||||
\(357\) | −4.32359 | − | 49.4189i | −0.228829 | − | 2.61553i | ||||
\(358\) | 11.8732 | − | 16.9567i | 0.627520 | − | 0.896191i | ||||
\(359\) | 3.69276 | − | 10.1458i | 0.194896 | − | 0.535474i | −0.803295 | − | 0.595581i | \(-0.796922\pi\) |
0.998192 | + | 0.0601071i | \(0.0191442\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −10.1989 | + | 16.0307i | −0.536782 | + | 0.843721i | ||||
\(362\) | −1.34221 | + | 1.34221i | −0.0705451 | + | 0.0705451i | ||||
\(363\) | −26.1026 | + | 12.1719i | −1.37003 | + | 0.638856i | ||||
\(364\) | 2.48970 | + | 14.1198i | 0.130496 | + | 0.740079i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 8.79780 | − | 7.38223i | 0.459868 | − | 0.385875i | ||||
\(367\) | 20.3005 | + | 28.9921i | 1.05968 | + | 1.51337i | 0.843581 | + | 0.537002i | \(0.180443\pi\) |
0.216096 | + | 0.976372i | \(0.430668\pi\) | |||||||
\(368\) | 7.45750 | − | 1.99823i | 0.388749 | − | 0.104165i | ||||
\(369\) | 20.6307 | + | 35.7334i | 1.07399 | + | 1.86020i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 12.2953 | + | 33.7810i | 0.638340 | + | 1.75382i | ||||
\(372\) | −10.3488 | − | 2.77295i | −0.536560 | − | 0.143771i | ||||
\(373\) | 2.05214 | + | 7.65869i | 0.106256 | + | 0.396552i | 0.998485 | − | 0.0550317i | \(-0.0175260\pi\) |
−0.892229 | + | 0.451583i | \(0.850859\pi\) | |||||||
\(374\) | 1.10220 | − | 6.25087i | 0.0569932 | − | 0.323225i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 5.95102 | − | 7.09215i | 0.306900 | − | 0.365750i | ||||
\(377\) | 4.72119 | + | 3.30582i | 0.243154 | + | 0.170258i | ||||
\(378\) | 19.8220 | + | 42.5084i | 1.01953 | + | 2.18640i | ||||
\(379\) | −10.8099 | −0.555265 | −0.277633 | − | 0.960687i | \(-0.589550\pi\) | ||||
−0.277633 | + | 0.960687i | \(0.589550\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 19.0350 | 0.975193 | ||||||||
\(382\) | 2.10151 | + | 4.50670i | 0.107523 | + | 0.230583i | ||||
\(383\) | 0.470283 | + | 0.329296i | 0.0240303 | + | 0.0168262i | 0.585530 | − | 0.810651i | \(-0.300886\pi\) |
−0.561500 | + | 0.827477i | \(0.689775\pi\) | |||||||
\(384\) | −2.05718 | + | 2.45166i | −0.104980 | + | 0.125111i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 2.47350 | − | 14.0279i | 0.125898 | − | 0.714001i | ||||
\(387\) | 3.79909 | + | 14.1784i | 0.193119 | + | 0.720729i | ||||
\(388\) | −16.6313 | − | 4.45635i | −0.844328 | − | 0.226237i | ||||
\(389\) | 4.55692 | + | 12.5200i | 0.231045 | + | 0.634791i | 0.999990 | − | 0.00452428i | \(-0.00144013\pi\) |
−0.768945 | + | 0.639315i | \(0.779218\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −17.3222 | − | 30.0030i | −0.876023 | − | 1.51732i | ||||
\(392\) | −4.76407 | + | 1.27653i | −0.240622 | + | 0.0644744i | ||||
\(393\) | 24.4155 | + | 34.8690i | 1.23160 | + | 1.75891i | ||||
\(394\) | 9.40007 | − | 7.88759i | 0.473569 | − | 0.397371i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 1.77898 | + | 10.0891i | 0.0893970 | + | 0.506996i | ||||
\(397\) | 30.8272 | − | 14.3749i | 1.54717 | − | 0.721458i | 0.553402 | − | 0.832914i | \(-0.313329\pi\) |
0.993769 | + | 0.111456i | \(0.0355515\pi\) | |||||||
\(398\) | 8.42820 | − | 8.42820i | 0.422468 | − | 0.422468i | ||||
\(399\) | −47.6252 | + | 7.34518i | −2.38424 | + | 0.367719i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −13.0114 | + | 35.7486i | −0.649760 | + | 1.78520i | −0.0311325 | + | 0.999515i | \(0.509911\pi\) |
−0.618627 | + | 0.785685i | \(0.712311\pi\) | |||||||
\(402\) | 21.2544 | − | 30.3544i | 1.06007 | − | 1.51394i | ||||
\(403\) | −1.21103 | − | 13.8421i | −0.0603256 | − | 0.689525i | ||||
\(404\) | 2.62265 | + | 3.12555i | 0.130482 | + | 0.155502i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.39827 | + | 4.15393i | −0.119024 | + | 0.206156i | ||||
\(407\) | 3.29334 | − | 12.2909i | 0.163245 | − | 0.609239i | ||||
\(408\) | 13.0156 | + | 6.06929i | 0.644370 | + | 0.300475i | ||||
\(409\) | 27.1372 | − | 9.87714i | 1.34185 | − | 0.488393i | 0.431455 | − | 0.902135i | \(-0.358001\pi\) |
0.910394 | + | 0.413742i | \(0.135778\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −18.2168 | − | 10.5175i | −0.898568 | − | 0.518788i | ||||
\(412\) | −9.42094 | + | 6.59661i | −0.464136 | + | 0.324992i | ||||
\(413\) | −0.972106 | + | 11.1112i | −0.0478342 | + | 0.546747i | ||||
\(414\) | 42.8351 | + | 35.9429i | 2.10523 | + | 1.76650i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.90035 | − | 1.41961i | −0.191231 | − | 0.0696022i | ||||
\(417\) | −12.6478 | − | 12.6478i | −0.619364 | − | 0.619364i | ||||
\(418\) | −6.12924 | − | 0.669357i | −0.299791 | − | 0.0327393i | ||||
\(419\) | − | 28.4755i | − | 1.39112i | −0.718469 | − | 0.695559i | \(-0.755157\pi\) | ||
0.718469 | − | 0.695559i | \(-0.244843\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −13.3963 | + | 2.36212i | −0.652894 | + | 0.115123i | −0.490277 | − | 0.871567i | \(-0.663104\pi\) |
−0.162617 | + | 0.986689i | \(0.551993\pi\) | |||||||
\(422\) | −11.3490 | + | 0.992909i | −0.552461 | + | 0.0483341i | ||||
\(423\) | 66.7981 | + | 5.84408i | 3.24783 | + | 0.284149i | ||||
\(424\) | −10.2490 | − | 1.80717i | −0.497733 | − | 0.0877638i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −28.4488 | + | 16.4249i | −1.37835 | + | 0.795790i | ||||
\(427\) | −5.23868 | + | 11.2344i | −0.253517 | + | 0.543670i | ||||
\(428\) | −7.68076 | + | 16.4714i | −0.371263 | + | 0.796177i | ||||
\(429\) | −16.2727 | + | 9.39504i | −0.785652 | + | 0.453597i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −21.1623 | − | 3.73148i | −1.01935 | − | 0.179739i | −0.361092 | − | 0.932530i | \(-0.617596\pi\) |
−0.658260 | + | 0.752791i | \(0.728707\pi\) | |||||||
\(432\) | −13.5265 | − | 1.18341i | −0.650793 | − | 0.0569370i | ||||
\(433\) | 36.6617 | − | 3.20749i | 1.76185 | − | 0.154142i | 0.840229 | − | 0.542232i | \(-0.182421\pi\) |
0.921621 | + | 0.388090i | \(0.126865\pi\) | |||||||
\(434\) | 11.3881 | − | 2.00803i | 0.546645 | − | 0.0963883i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 15.3020i | 0.732834i | ||||||||
\(437\) | −27.9759 | + | 18.7053i | −1.33827 | + | 0.894796i | ||||
\(438\) | 17.3485 | + | 17.3485i | 0.828944 | + | 0.828944i | ||||
\(439\) | −22.3050 | − | 8.11835i | −1.06456 | − | 0.387468i | −0.250420 | − | 0.968137i | \(-0.580569\pi\) |
−0.814139 | + | 0.580670i | \(0.802791\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −27.3643 | − | 22.9614i | −1.30306 | − | 1.09340i | ||||
\(442\) | −1.62330 | + | 18.5544i | −0.0772125 | + | 0.882543i | ||||
\(443\) | −18.8934 | + | 13.2293i | −0.897653 | + | 0.628544i | −0.928642 | − | 0.370976i | \(-0.879023\pi\) |
0.0309890 | + | 0.999520i | \(0.490134\pi\) | |||||||
\(444\) | 24.9329 | + | 14.3950i | 1.18326 | + | 0.683157i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 12.6152 | − | 4.59154i | 0.597345 | − | 0.217416i | ||||
\(447\) | 15.9563 | + | 7.44052i | 0.754705 | + | 0.351925i | ||||
\(448\) | 0.894036 | − | 3.33659i | 0.0422392 | − | 0.157639i | ||||
\(449\) | −12.1508 | + | 21.0458i | −0.573433 | + | 0.993214i | 0.422777 | + | 0.906234i | \(0.361055\pi\) |
−0.996210 | + | 0.0869808i | \(0.972278\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.17987 | − | 6.17313i | −0.243911 | − | 0.290681i | ||||
\(452\) | −1.10523 | − | 12.6329i | −0.0519859 | − | 0.594201i | ||||
\(453\) | 43.5465 | − | 62.1908i | 2.04599 | − | 2.92198i | ||||
\(454\) | 0.490354 | − | 1.34724i | 0.0230135 | − | 0.0632290i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 5.05211 | − | 13.0033i | 0.236587 | − | 0.608936i | ||||
\(457\) | −21.9368 | + | 21.9368i | −1.02616 | + | 1.02616i | −0.0265099 | + | 0.999649i | \(0.508439\pi\) |
−0.999649 | + | 0.0265099i | \(0.991561\pi\) | |||||||
\(458\) | −11.8735 | + | 5.53671i | −0.554813 | + | 0.258714i | ||||
\(459\) | 10.5802 | + | 60.0034i | 0.493843 | + | 2.80072i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −2.41326 | + | 2.02497i | −0.112397 | + | 0.0943122i | −0.697254 | − | 0.716824i | \(-0.745595\pi\) |
0.584857 | + | 0.811136i | \(0.301151\pi\) | |||||||
\(462\) | −8.96934 | − | 12.8095i | −0.417291 | − | 0.595954i | ||||
\(463\) | −15.4936 | + | 4.15151i | −0.720051 | + | 0.192937i | −0.600194 | − | 0.799854i | \(-0.704910\pi\) |
−0.119856 | + | 0.992791i | \(0.538243\pi\) | |||||||
\(464\) | −0.694287 | − | 1.20254i | −0.0322315 | − | 0.0558265i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.278495 | − | 0.765160i | −0.0129011 | − | 0.0354454i | ||||
\(467\) | 13.1244 | + | 3.51666i | 0.607323 | + | 0.162732i | 0.549358 | − | 0.835587i | \(-0.314872\pi\) |
0.0579645 | + | 0.998319i | \(0.481539\pi\) | |||||||
\(468\) | −7.78055 | − | 29.0374i | −0.359656 | − | 1.34226i | ||||
\(469\) | −6.94513 | + | 39.3878i | −0.320696 | + | 1.81876i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −8.03128 | + | 9.57131i | −0.370062 | + | 0.441023i | ||||
\(472\) | −2.64498 | − | 1.85204i | −0.121745 | − | 0.0852469i | ||||
\(473\) | −1.21155 | − | 2.59817i | −0.0557070 | − | 0.119464i | ||||
\(474\) | −7.08284 | −0.325326 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −15.5004 | −0.710460 | ||||||||
\(477\) | −31.8546 | − | 68.3125i | −1.45852 | − | 3.12781i | ||||
\(478\) | 17.0685 | + | 11.9515i | 0.780695 | + | 0.546649i | ||||
\(479\) | 11.0719 | − | 13.1950i | 0.505889 | − | 0.602896i | −0.451295 | − | 0.892375i | \(-0.649038\pi\) |
0.957184 | + | 0.289479i | \(0.0934821\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −6.48373 | + | 36.7710i | −0.295633 | + | 1.67662i | ||||
\(482\) | −5.97403 | − | 22.2954i | −0.272110 | − | 1.01553i | ||||
\(483\) | −82.4438 | − | 22.0907i | −3.75132 | − | 1.00516i | ||||
\(484\) | 3.07790 | + | 8.45646i | 0.139905 | + | 0.384384i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −14.4016 | − | 24.9444i | −0.653271 | − | 1.13150i | ||||
\(487\) | 11.1361 | − | 2.98390i | 0.504623 | − | 0.135213i | 0.00247807 | − | 0.999997i | \(-0.499211\pi\) |
0.502145 | + | 0.864784i | \(0.332545\pi\) | |||||||
\(488\) | −2.05829 | − | 2.93954i | −0.0931742 | − | 0.133067i | ||||
\(489\) | 11.5162 | − | 9.66322i | 0.520779 | − | 0.436986i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −0.181649 | − | 1.03018i | −0.00819772 | − | 0.0464916i | 0.980435 | − | 0.196846i | \(-0.0630698\pi\) |
−0.988632 | + | 0.150354i | \(0.951959\pi\) | |||||||
\(492\) | 16.5245 | − | 7.70550i | 0.744982 | − | 0.347391i | ||||
\(493\) | −4.40594 | + | 4.40594i | −0.198433 | + | 0.198433i | ||||
\(494\) | 18.0882 | + | 0.389130i | 0.813825 | + | 0.0175078i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −1.14496 | + | 3.14576i | −0.0514104 | + | 0.141249i | ||||
\(497\) | 20.3366 | − | 29.0436i | 0.912220 | − | 1.30278i | ||||
\(498\) | −0.949323 | − | 10.8508i | −0.0425402 | − | 0.486237i | ||||
\(499\) | −10.2856 | − | 12.2579i | −0.460445 | − | 0.548737i | 0.485002 | − | 0.874513i | \(-0.338819\pi\) |
−0.945447 | + | 0.325776i | \(0.894374\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 9.46510 | − | 16.3940i | 0.422869 | − | 0.732431i | ||||
\(502\) | 1.35167 | − | 5.04450i | 0.0603280 | − | 0.225147i | ||||
\(503\) | 6.24323 | + | 2.91127i | 0.278372 | + | 0.129807i | 0.556791 | − | 0.830653i | \(-0.312033\pi\) |
−0.278419 | + | 0.960460i | \(0.589810\pi\) | |||||||
\(504\) | 23.5094 | − | 8.55671i | 1.04719 | − | 0.381146i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.45768 | − | 5.46039i | −0.420445 | − | 0.242744i | ||||
\(507\) | 11.0844 | − | 7.76137i | 0.492275 | − | 0.344695i | ||||
\(508\) | 0.518374 | − | 5.92504i | 0.0229991 | − | 0.262881i | ||||
\(509\) | 11.1511 | + | 9.35689i | 0.494264 | + | 0.414737i | 0.855552 | − | 0.517718i | \(-0.173218\pi\) |
−0.361287 | + | 0.932455i | \(0.617663\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −24.8838 | − | 9.05695i | −1.10079 | − | 0.400656i | ||||
\(512\) | 0.707107 | + | 0.707107i | 0.0312500 | + | 0.0312500i | ||||
\(513\) | 57.4853 | − | 14.0853i | 2.53804 | − | 0.621880i | ||||
\(514\) | 15.9703i | 0.704422i | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 6.38770 | − | 1.12632i | 0.281203 | − | 0.0495837i | ||||
\(517\) | −13.0459 | + | 1.14136i | −0.573756 | + | 0.0501972i | ||||
\(518\) | −30.9556 | − | 2.70827i | −1.36011 | − | 0.118994i | ||||
\(519\) | 28.2074 | + | 4.97372i | 1.23817 | + | 0.218322i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8.57170 | + | 4.94888i | −0.375533 | + | 0.216814i | −0.675873 | − | 0.737018i | \(-0.736233\pi\) |
0.300340 | + | 0.953832i | \(0.402900\pi\) | |||||||
\(522\) | 4.25024 | − | 9.11467i | 0.186028 | − | 0.398938i | ||||
\(523\) | 8.87600 | − | 19.0346i | 0.388120 | − | 0.832327i | −0.611050 | − | 0.791592i | \(-0.709252\pi\) |
0.999170 | − | 0.0407347i | \(-0.0129698\pi\) | |||||||
\(524\) | 11.5186 | − | 6.65027i | 0.503193 | − | 0.290518i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 4.84890 | + | 0.854992i | 0.211422 | + | 0.0372794i | ||||
\(527\) | 14.9647 | + | 1.30924i | 0.651874 | + | 0.0570315i | ||||
\(528\) | 4.50977 | − | 0.394554i | 0.196263 | − | 0.0171707i | ||||
\(529\) | −36.0511 | + | 6.35678i | −1.56744 | + | 0.276382i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | − | 23.3859i | − | 1.01486i | ||||||
\(532\) | 0.989381 | + | 15.0244i | 0.0428951 | + | 0.651389i | ||||
\(533\) | 16.7205 | + | 16.7205i | 0.724247 | + | 0.724247i | ||||
\(534\) | −40.3821 | − | 14.6979i | −1.74750 | − | 0.636039i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −8.86963 | − | 7.44250i | −0.383109 | − | 0.321467i | ||||
\(537\) | 5.77403 | − | 65.9975i | 0.249168 | − | 2.84800i | ||||
\(538\) | −7.07885 | + | 4.95667i | −0.305191 | + | 0.213697i | ||||
\(539\) | 6.04184 | + | 3.48826i | 0.260241 | + | 0.150250i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.1392 | + | 5.14624i | −0.607891 | + | 0.221254i | −0.627580 | − | 0.778552i | \(-0.715955\pi\) |
0.0196892 | + | 0.999806i | \(0.493732\pi\) | |||||||
\(542\) | −5.60335 | − | 2.61288i | −0.240684 | − | 0.112233i | ||||
\(543\) | −1.57231 | + | 5.86794i | −0.0674743 | + | 0.251817i | ||||
\(544\) | 2.24365 | − | 3.88611i | 0.0961955 | − | 0.166616i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 29.4951 | + | 35.1509i | 1.26227 | + | 1.50432i | ||||
\(547\) | −0.136677 | − | 1.56223i | −0.00584390 | − | 0.0667961i | 0.992713 | − | 0.120505i | \(-0.0384513\pi\) |
−0.998557 | + | 0.0537087i | \(0.982896\pi\) | |||||||
\(548\) | −3.76987 | + | 5.38394i | −0.161041 | + | 0.229990i | ||||
\(549\) | 8.88919 | − | 24.4228i | 0.379381 | − | 1.04234i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 4.55185 | + | 3.98940i | 0.193915 | + | 0.169954i | ||||
\(552\) | 17.4719 | − | 17.4719i | 0.743653 | − | 0.743653i | ||||
\(553\) | 6.92846 | − | 3.23079i | 0.294628 | − | 0.137387i | ||||
\(554\) | −3.22927 | − | 18.3141i | −0.137198 | − | 0.778091i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −4.28131 | + | 3.59245i | −0.181568 | + | 0.152354i | ||||
\(557\) | 20.9634 | + | 29.9389i | 0.888248 | + | 1.26855i | 0.962492 | + | 0.271310i | \(0.0874568\pi\) |
−0.0742438 | + | 0.997240i | \(0.523654\pi\) | |||||||
\(558\) | −23.4196 | + | 6.27527i | −0.991432 | + | 0.265653i | ||||
\(559\) | 4.20606 | + | 7.28512i | 0.177898 | + | 0.308128i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.94778 | − | 19.0889i | −0.293336 | − | 0.805933i | ||||
\(562\) | 11.1454 | + | 2.98641i | 0.470142 | + | 0.125974i | ||||
\(563\) | 4.06624 | + | 15.1754i | 0.171371 | + | 0.639567i | 0.997141 | + | 0.0755597i | \(0.0240743\pi\) |
−0.825770 | + | 0.564007i | \(0.809259\pi\) | |||||||
\(564\) | 5.14517 | − | 29.1797i | 0.216651 | − | 1.22869i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 3.36548 | − | 4.01083i | 0.141462 | − | 0.168588i | ||||
\(567\) | 61.4806 | + | 43.0492i | 2.58194 | + | 1.80790i | ||||
\(568\) | 4.33786 | + | 9.30257i | 0.182013 | + | 0.390327i | ||||
\(569\) | 20.0131 | 0.838992 | 0.419496 | − | 0.907757i | \(-0.362207\pi\) | ||||
0.419496 | + | 0.907757i | \(0.362207\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −25.4373 | −1.06452 | −0.532260 | − | 0.846581i | \(-0.678657\pi\) | ||||
−0.532260 | + | 0.846581i | \(0.678657\pi\) | |||||||
\(572\) | 2.48125 | + | 5.32106i | 0.103746 | + | 0.222485i | ||||
\(573\) | 13.0363 | + | 9.12810i | 0.544598 | + | 0.381332i | ||||
\(574\) | −12.6495 | + | 15.0751i | −0.527980 | + | 0.629222i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −1.25767 | + | 7.13259i | −0.0524029 | + | 0.297191i | ||||
\(577\) | −1.61051 | − | 6.01050i | −0.0670464 | − | 0.250221i | 0.924266 | − | 0.381749i | \(-0.124678\pi\) |
−0.991312 | + | 0.131529i | \(0.958012\pi\) | |||||||
\(578\) | −3.02894 | − | 0.811601i | −0.125987 | − | 0.0337582i | ||||
\(579\) | −15.5919 | − | 42.8383i | −0.647976 | − | 1.78030i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 5.87816 | + | 10.1813i | 0.243867 | + | 0.422390i | ||||
\(582\) | −53.2271 | + | 14.2622i | −2.20633 | + | 0.591186i | ||||
\(583\) | 8.44353 | + | 12.0586i | 0.349695 | + | 0.499417i | ||||
\(584\) | 5.87253 | − | 4.92764i | 0.243007 | − | 0.203907i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 2.26049 | + | 12.8198i | 0.0933798 | + | 0.529583i | ||||
\(587\) | −30.5767 | + | 14.2582i | −1.26204 | + | 0.588497i | −0.934372 | − | 0.356298i | \(-0.884039\pi\) |
−0.327663 | + | 0.944795i | \(0.606261\pi\) | |||||||
\(588\) | −11.1616 | + | 11.1616i | −0.460295 | + | 0.460295i | ||||
\(589\) | 0.313846 | − | 14.5887i | 0.0129318 | − | 0.601117i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 13.4318 | − | 36.9036i | 0.552511 | − | 1.51801i | ||||
\(592\) | 5.15974 | − | 7.36887i | 0.212064 | − | 0.302859i | ||||
\(593\) | 1.01390 | + | 11.5889i | 0.0416359 | + | 0.475900i | 0.988177 | + | 0.153317i | \(0.0489956\pi\) |
−0.946541 | + | 0.322583i | \(0.895449\pi\) | |||||||
\(594\) | 12.3456 | + | 14.7129i | 0.506546 | + | 0.603678i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 2.75055 | − | 4.76409i | 0.112667 | − | 0.195145i | ||||
\(597\) | 9.87306 | − | 36.8468i | 0.404077 | − | 1.50804i | ||||
\(598\) | 29.0431 | + | 13.5430i | 1.18766 | + | 0.553816i | ||||
\(599\) | 23.0322 | − | 8.38305i | 0.941072 | − | 0.342522i | 0.174483 | − | 0.984660i | \(-0.444175\pi\) |
0.766589 | + | 0.642138i | \(0.221952\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −40.5629 | − | 23.4190i | −1.65459 | − | 0.955280i | −0.975148 | − | 0.221555i | \(-0.928887\pi\) |
−0.679447 | − | 0.733725i | \(-0.737780\pi\) | |||||||
\(602\) | −5.73471 | + | 4.01548i | −0.233729 | + | 0.163659i | ||||
\(603\) | 7.30875 | − | 83.5394i | 0.297635 | − | 3.40199i | ||||
\(604\) | −18.1723 | − | 15.2484i | −0.739421 | − | 0.620448i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 12.2706 | + | 4.46612i | 0.498458 | + | 0.181424i | ||||
\(607\) | 1.23711 | + | 1.23711i | 0.0502129 | + | 0.0502129i | 0.731767 | − | 0.681554i | \(-0.238696\pi\) |
−0.681554 | + | 0.731767i | \(0.738696\pi\) | |||||||
\(608\) | −3.90997 | − | 1.92669i | −0.158570 | − | 0.0781377i | ||||
\(609\) | 15.3509i | 0.622050i | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 37.8437 | − | 6.67287i | 1.53099 | − | 0.269955i | ||||
\(612\) | 32.3761 | − | 2.83254i | 1.30873 | − | 0.114499i | ||||
\(613\) | 20.0869 | + | 1.75737i | 0.811302 | + | 0.0709797i | 0.485254 | − | 0.874373i | \(-0.338727\pi\) |
0.326048 | + | 0.945353i | \(0.394283\pi\) | |||||||
\(614\) | −8.04462 | − | 1.41848i | −0.324655 | − | 0.0572454i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.23150 | + | 2.44306i | −0.170492 | + | 0.0984335i | ||||
\(617\) | −0.746096 | + | 1.60001i | −0.0300367 | + | 0.0644139i | −0.920754 | − | 0.390144i | \(-0.872425\pi\) |
0.890717 | + | 0.454558i | \(0.150203\pi\) | |||||||
\(618\) | −15.5555 | + | 33.3589i | −0.625733 | + | 1.34189i | ||||
\(619\) | −14.4462 | + | 8.34054i | −0.580644 | + | 0.335235i | −0.761389 | − | 0.648295i | \(-0.775482\pi\) |
0.180746 | + | 0.983530i | \(0.442149\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 103.238 | + | 18.2037i | 4.14281 | + | 0.730490i | ||||
\(622\) | −7.08809 | − | 0.620127i | −0.284206 | − | 0.0248648i | ||||
\(623\) | 46.2062 | − | 4.04252i | 1.85121 | − | 0.161960i | ||||
\(624\) | −13.0820 | + | 2.30672i | −0.523701 | + | 0.0923425i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | − | 6.30928i | − | 0.252170i | ||||||
\(627\) | −18.0591 | + | 7.95283i | −0.721213 | + | 0.317606i | ||||
\(628\) | 2.76056 | + | 2.76056i | 0.110158 | + | 0.110158i | ||||
\(629\) | −37.9321 | − | 13.8061i | −1.51245 | − | 0.550487i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 30.8976 | + | 25.9262i | 1.23001 | + | 1.03210i | 0.998238 | + | 0.0593350i | \(0.0188980\pi\) |
0.231776 | + | 0.972769i | \(0.425546\pi\) | |||||||
\(632\) | −0.192885 | + | 2.20468i | −0.00767255 | + | 0.0876976i | ||||
\(633\) | −29.8665 | + | 20.9127i | −1.18709 | + | 0.831206i | ||||
\(634\) | −6.64721 | − | 3.83777i | −0.263994 | − | 0.152417i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −31.2982 | + | 11.3916i | −1.24106 | + | 0.451707i | ||||
\(637\) | −18.5536 | − | 8.65168i | −0.735120 | − | 0.342792i | ||||
\(638\) | −0.508358 | + | 1.89722i | −0.0201261 | + | 0.0751116i | ||||
\(639\) | −37.1701 | + | 64.3805i | −1.47043 | + | 2.54685i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 8.11148 | + | 9.66689i | 0.320384 | + | 0.381819i | 0.902067 | − | 0.431597i | \(-0.142050\pi\) |
−0.581682 | + | 0.813416i | \(0.697605\pi\) | |||||||
\(642\) | 5.06941 | + | 57.9436i | 0.200074 | + | 2.28685i | ||||
\(643\) | 6.72363 | − | 9.60234i | 0.265154 | − | 0.378679i | −0.664392 | − | 0.747384i | \(-0.731310\pi\) |
0.929547 | + | 0.368704i | \(0.120199\pi\) | |||||||
\(644\) | −9.12137 | + | 25.0608i | −0.359432 | + | 0.987532i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.81001 | + | 19.1850i | −0.149903 | + | 0.754823i | ||||
\(647\) | 11.3977 | − | 11.3977i | 0.448091 | − | 0.448091i | −0.446628 | − | 0.894720i | \(-0.647375\pi\) |
0.894720 | + | 0.446628i | \(0.147375\pi\) | |||||||
\(648\) | −19.6920 | + | 9.18254i | −0.773576 | + | 0.360724i | ||||
\(649\) | 0.793110 | + | 4.49795i | 0.0311323 | + | 0.176560i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 28.3504 | − | 23.7888i | 1.11114 | − | 0.932356i | ||||
\(652\) | −2.69426 | − | 3.84781i | −0.105515 | − | 0.150692i | ||||
\(653\) | 15.1596 | − | 4.06201i | 0.593242 | − | 0.158959i | 0.0503074 | − | 0.998734i | \(-0.483980\pi\) |
0.542934 | + | 0.839775i | \(0.317313\pi\) | |||||||
\(654\) | 24.4864 | + | 42.4117i | 0.957493 | + | 1.65843i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −1.94849 | − | 5.35344i | −0.0760759 | − | 0.209017i | ||||
\(657\) | 53.6304 | + | 14.3702i | 2.09232 | + | 0.560636i | ||||
\(658\) | 8.27712 | + | 30.8906i | 0.322676 | + | 1.20424i | ||||
\(659\) | 0.421563 | − | 2.39080i | 0.0164218 | − | 0.0931324i | −0.975495 | − | 0.220020i | \(-0.929388\pi\) |
0.991917 | + | 0.126888i | \(0.0404988\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.33788 | + | 9.93669i | −0.324306 | + | 0.386493i | −0.903422 | − | 0.428752i | \(-0.858953\pi\) |
0.579116 | + | 0.815245i | \(0.303398\pi\) | |||||||
\(662\) | −21.5845 | − | 15.1137i | −0.838907 | − | 0.587409i | ||||
\(663\) | 25.1916 | + | 54.0236i | 0.978362 | + | 2.09810i | ||||
\(664\) | −3.40340 | −0.132077 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 65.1527 | 2.52462 | ||||||||
\(667\) | 4.53072 | + | 9.71615i | 0.175430 | + | 0.376211i | ||||
\(668\) | −4.84523 | − | 3.39266i | −0.187467 | − | 0.131266i | ||||
\(669\) | 27.6172 | − | 32.9129i | 1.06774 | − | 1.27249i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.881433 | + | 4.99885i | −0.0340273 | + | 0.192979i | ||||
\(672\) | −2.86128 | − | 10.6785i | −0.110376 | − | 0.411930i | ||||
\(673\) | 32.7833 | + | 8.78425i | 1.26370 | + | 0.338608i | 0.827615 | − | 0.561297i | \(-0.189697\pi\) |
0.436087 | + | 0.899904i | \(0.356364\pi\) | |||||||
\(674\) | −6.11619 | − | 16.8041i | −0.235587 | − | 0.647270i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.11403 | − | 3.66161i | −0.0813089 | − | 0.140831i | ||||
\(677\) | −3.37074 | + | 0.903187i | −0.129548 | + | 0.0347123i | −0.323010 | − | 0.946395i | \(-0.604695\pi\) |
0.193462 | + | 0.981108i | \(0.438028\pi\) | |||||||
\(678\) | −23.2785 | − | 33.2452i | −0.894006 | − | 1.27677i | ||||
\(679\) | 45.5613 | − | 38.2305i | 1.74848 | − | 1.46715i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −0.796772 | − | 4.51872i | −0.0305324 | − | 0.173158i | ||||
\(682\) | 4.29161 | − | 2.00121i | 0.164334 | − | 0.0766303i | ||||
\(683\) | −29.1380 | + | 29.1380i | −1.11494 | + | 1.11494i | −0.122462 | + | 0.992473i | \(0.539079\pi\) |
−0.992473 | + | 0.122462i | \(0.960921\pi\) | |||||||
\(684\) | −4.81209 | − | 31.2010i | −0.183995 | − | 1.19300i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.44306 | + | 6.71226i | −0.0932766 | + | 0.256275i | ||||
\(687\) | −24.0492 | + | 34.3458i | −0.917534 | + | 1.31037i | ||||
\(688\) | −0.176638 | − | 2.01898i | −0.00673425 | − | 0.0769729i | ||||
\(689\) | −27.7660 | − | 33.0903i | −1.05780 | − | 1.26064i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.7140 | + | 39.3418i | −0.864082 | + | 1.49663i | 0.00387407 | + | 0.999992i | \(0.498767\pi\) |
−0.867956 | + | 0.496641i | \(0.834566\pi\) | |||||||
\(692\) | 2.31634 | − | 8.64468i | 0.0880539 | − | 0.328622i | ||||
\(693\) | −32.0727 | − | 14.9557i | −1.21834 | − | 0.568121i | ||||
\(694\) | −10.8111 | + | 3.93491i | −0.410383 | + | 0.149367i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −3.84862 | − | 2.22200i | −0.145882 | − | 0.0842248i | ||||
\(697\) | −20.9409 | + | 14.6630i | −0.793194 | + | 0.555401i | ||||
\(698\) | −0.273326 | + | 3.12413i | −0.0103456 | + | 0.118250i | ||||
\(699\) | −1.99630 | − | 1.67510i | −0.0755070 | − | 0.0633579i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 48.3161 | + | 17.5856i | 1.82487 | + | 0.664199i | 0.994214 | + | 0.107417i | \(0.0342579\pi\) |
0.830658 | + | 0.556782i | \(0.187964\pi\) | |||||||
\(702\) | −39.8514 | − | 39.8514i | −1.50409 | − | 1.50409i | ||||
\(703\) | −10.9609 | + | 37.6483i | −0.413400 | + | 1.41993i | ||||
\(704\) | − | 1.41451i | − | 0.0533112i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −30.5573 | + | 5.38807i | −1.15004 | + | 0.202783i | ||||
\(707\) | −14.0403 | + | 1.22837i | −0.528040 | + | 0.0461975i | ||||
\(708\) | −10.2946 | − | 0.900659i | −0.386894 | − | 0.0338488i | ||||
\(709\) | 5.47309 | + | 0.965053i | 0.205546 | + | 0.0362433i | 0.275473 | − | 0.961309i | \(-0.411165\pi\) |
−0.0699269 | + | 0.997552i | \(0.522277\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.8813 | + | 8.01435i | −0.520588 | + | 0.300561i | ||||
\(712\) | −5.67473 | + | 12.1695i | −0.212670 | + | 0.456071i | ||||
\(713\) | 10.9229 | − | 23.4242i | 0.409066 | − | 0.877244i | ||||
\(714\) | −42.9615 | + | 24.8038i | −1.60779 | + | 0.928260i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −20.3859 | − | 3.59458i | −0.761855 | − | 0.134336i | ||||
\(717\) | 66.4325 | + | 5.81209i | 2.48097 | + | 0.217057i | ||||
\(718\) | −10.7558 | + | 0.941013i | −0.401404 | + | 0.0351183i | ||||
\(719\) | 3.44997 | − | 0.608322i | 0.128662 | − | 0.0226866i | −0.108946 | − | 0.994048i | \(-0.534748\pi\) |
0.237608 | + | 0.971361i | \(0.423637\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 39.7273i | − | 1.47952i | ||||||
\(722\) | 18.8390 | + | 2.46843i | 0.701114 | + | 0.0918655i | ||||
\(723\) | −52.2351 | − | 52.2351i | −1.94264 | − | 1.94264i | ||||
\(724\) | 1.78370 | + | 0.649214i | 0.0662907 | + | 0.0241279i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 22.0629 | + | 18.5130i | 0.818830 | + | 0.687080i | ||||
\(727\) | −0.252352 | + | 2.88440i | −0.00935923 | + | 0.106976i | −0.999437 | − | 0.0335418i | \(-0.989321\pi\) |
0.990078 | + | 0.140518i | \(0.0448769\pi\) | |||||||
\(728\) | 11.7447 | − | 8.22372i | 0.435287 | − | 0.304791i | ||||
\(729\) | −23.3819 | − | 13.4995i | −0.865994 | − | 0.499982i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.54590 | + | 3.11045i | −0.316082 | + | 0.115044i | ||||
\(732\) | −10.4087 | − | 4.85365i | −0.384716 | − | 0.179396i | ||||
\(733\) | −5.30300 | + | 19.7911i | −0.195871 | + | 0.731000i | 0.796169 | + | 0.605075i | \(0.206857\pi\) |
−0.992040 | + | 0.125926i | \(0.959810\pi\) | |||||||
\(734\) | 17.6964 | − | 30.6511i | 0.653186 | − | 1.13135i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −4.96269 | − | 5.91430i | −0.182927 | − | 0.218004i | ||||
\(737\) | 1.42742 | + | 16.3155i | 0.0525797 | + | 0.600989i | ||||
\(738\) | 23.6665 | − | 33.7993i | 0.871177 | − | 1.24417i | ||||
\(739\) | 0.521791 | − | 1.43361i | 0.0191944 | − | 0.0527361i | −0.929725 | − | 0.368254i | \(-0.879956\pi\) |
0.948920 | + | 0.315517i | \(0.102178\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 50.7565 | − | 27.8663i | 1.86459 | − | 1.02369i | ||||
\(742\) | 25.4198 | − | 25.4198i | 0.933190 | − | 0.933190i | ||||
\(743\) | −24.7765 | + | 11.5535i | −0.908961 | + | 0.423856i | −0.820121 | − | 0.572190i | \(-0.806094\pi\) |
−0.0888405 | + | 0.996046i | \(0.528316\pi\) | |||||||
\(744\) | 1.86044 | + | 10.5511i | 0.0682071 | + | 0.386822i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 6.07386 | − | 5.09657i | 0.222380 | − | 0.186599i | ||||
\(747\) | −14.1384 | − | 20.1917i | −0.517296 | − | 0.738776i | ||||
\(748\) | −6.13102 | + | 1.64280i | −0.224172 | + | 0.0600668i | ||||
\(749\) | −31.3895 | − | 54.3683i | −1.14695 | − | 1.98657i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 13.0862 | + | 35.9542i | 0.477524 | + | 1.31199i | 0.911588 | + | 0.411104i | \(0.134857\pi\) |
−0.434065 | + | 0.900882i | \(0.642921\pi\) | |||||||
\(752\) | −8.94268 | − | 2.39618i | −0.326106 | − | 0.0873798i | ||||
\(753\) | −4.32590 | − | 16.1445i | −0.157644 | − | 0.588337i | ||||
\(754\) | 1.00082 | − | 5.67595i | 0.0364479 | − | 0.206706i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 30.1486 | − | 35.9297i | 1.09649 | − | 1.30675i | ||||
\(757\) | −6.37689 | − | 4.46515i | −0.231772 | − | 0.162289i | 0.451922 | − | 0.892058i | \(-0.350739\pi\) |
−0.683694 | + | 0.729769i | \(0.739628\pi\) | |||||||
\(758\) | 4.56844 | + | 9.79706i | 0.165933 | + | 0.355845i | ||||
\(759\) | −34.9510 | −1.26864 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.98318 | −0.144390 | −0.0721951 | − | 0.997391i | \(-0.523000\pi\) | ||||
−0.0721951 | + | 0.997391i | \(0.523000\pi\) | |||||||
\(762\) | −8.04454 | − | 17.2516i | −0.291423 | − | 0.624958i | ||||
\(763\) | −43.2984 | − | 30.3179i | −1.56751 | − | 1.09758i | ||||
\(764\) | 3.19632 | − | 3.80923i | 0.115639 | − | 0.137813i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0.0996931 | − | 0.565388i | 0.00360206 | − | 0.0204283i | ||||
\(767\) | −3.46875 | − | 12.9456i | −0.125249 | − | 0.467437i | ||||
\(768\) | 3.09136 | + | 0.828327i | 0.111550 | + | 0.0298897i | ||||
\(769\) | 5.05692 | + | 13.8938i | 0.182357 | + | 0.501022i | 0.996864 | − | 0.0791316i | \(-0.0252147\pi\) |
−0.814507 | + | 0.580154i | \(0.802993\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 25.5558 | + | 44.2640i | 0.920371 | + | 1.59413i | ||||
\(772\) | −13.7589 | + | 3.68670i | −0.495195 | + | 0.132687i | ||||
\(773\) | −22.1599 | − | 31.6476i | −0.797037 | − | 1.13829i | −0.987659 | − | 0.156623i | \(-0.949939\pi\) |
0.190622 | − | 0.981664i | \(-0.438950\pi\) | |||||||
\(774\) | 11.2444 | − | 9.43520i | 0.404173 | − | 0.339141i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 2.98988 | + | 16.9564i | 0.107330 | + | 0.608701i | ||||
\(777\) | −90.1315 | + | 42.0290i | −3.23345 | + | 1.50778i | ||||
\(778\) | 9.42117 | − | 9.42117i | 0.337765 | − | 0.337765i | ||||
\(779\) | 15.5493 | + | 19.3619i | 0.557112 | + | 0.693711i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 4.96574 | − | 13.6432i | 0.177688 | − | 0.488194i | ||||
\(782\) | −19.8712 | + | 28.3791i | −0.710594 | + | 1.01483i | ||||
\(783\) | −1.64326 | − | 18.7825i | −0.0587252 | − | 0.671232i | ||||
\(784\) | 3.17031 | + | 3.77823i | 0.113225 | + | 0.134937i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 21.2836 | − | 36.8643i | 0.759161 | − | 1.31490i | ||||
\(787\) | 4.82993 | − | 18.0255i | 0.172168 | − | 0.642541i | −0.824848 | − | 0.565354i | \(-0.808740\pi\) |
0.997017 | − | 0.0771869i | \(-0.0245938\pi\) | |||||||
\(788\) | −11.1212 | − | 5.18591i | −0.396177 | − | 0.184741i | ||||
\(789\) | 14.8076 | − | 5.38951i | 0.527163 | − | 0.191872i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 37.9357 | + | 21.9022i | 1.34884 | + | 0.778752i | ||||
\(792\) | 8.39199 | − | 5.87614i | 0.298196 | − | 0.208799i | ||||
\(793\) | 1.29816 | − | 14.8381i | 0.0460991 | − | 0.526915i | ||||
\(794\) | −26.0563 | − | 21.8638i | −0.924702 | − | 0.775917i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −11.2005 | − | 4.07663i | −0.396990 | − | 0.144492i | ||||
\(797\) | −2.61033 | − | 2.61033i | −0.0924625 | − | 0.0924625i | 0.659363 | − | 0.751825i | \(-0.270826\pi\) |
−0.751825 | + | 0.659363i | \(0.770826\pi\) | |||||||
\(798\) | 26.7843 | + | 40.0589i | 0.948153 | + | 1.41807i | ||||
\(799\) | 41.5440i | 1.46972i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −95.7733 | + | 16.8874i | −3.38398 | + | 0.596688i | ||||
\(802\) | 37.8981 | − | 3.31565i | 1.33823 | − | 0.117080i | ||||
\(803\) | −10.8024 | − | 0.945087i | −0.381208 | − | 0.0333514i | ||||
\(804\) | −36.4929 | − | 6.43468i | −1.28701 | − | 0.226934i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −12.0334 | + | 6.94750i | −0.423859 | + | 0.244715i | ||||
\(807\) | −11.6883 | + | 25.0657i | −0.411449 | + | 0.882354i | ||||
\(808\) | 1.72433 | − | 3.69785i | 0.0606619 | − | 0.130090i | ||||
\(809\) | −6.76647 | + | 3.90662i | −0.237896 | + | 0.137350i | −0.614210 | − | 0.789143i | \(-0.710525\pi\) |
0.376313 | + | 0.926493i | \(0.377192\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −5.82748 | − | 1.02754i | −0.204631 | − | 0.0360819i | 0.0703932 | − | 0.997519i | \(-0.477575\pi\) |
−0.275024 | + | 0.961437i | \(0.588686\pi\) | |||||||
\(812\) | 4.77829 | + | 0.418046i | 0.167685 | + | 0.0146705i | ||||
\(813\) | −19.7116 | + | 1.72454i | −0.691315 | + | 0.0604823i | ||||
\(814\) | −12.5312 | + | 2.20959i | −0.439218 | + | 0.0774460i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | − | 14.3612i | − | 0.502742i | ||||||
\(817\) | 3.56040 | + | 8.08490i | 0.124563 | + | 0.282855i | ||||
\(818\) | −20.4204 | − | 20.4204i | −0.713983 | − | 0.713983i | ||||
\(819\) | 97.5796 | + | 35.5161i | 3.40971 | + | 1.24103i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −22.4619 | − | 18.8477i | −0.783924 | − | 0.657790i | 0.160309 | − | 0.987067i | \(-0.448751\pi\) |
−0.944234 | + | 0.329276i | \(0.893195\pi\) | |||||||
\(822\) | −1.83331 | + | 20.9549i | −0.0639442 | + | 0.730886i | ||||
\(823\) | 16.7348 | − | 11.7178i | 0.583339 | − | 0.408458i | −0.244316 | − | 0.969696i | \(-0.578563\pi\) |
0.827655 | + | 0.561237i | \(0.189675\pi\) | |||||||
\(824\) | 9.96002 | + | 5.75042i | 0.346974 | + | 0.200325i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 10.4810 | − | 3.81478i | 0.364681 | − | 0.132733i | ||||
\(827\) | 0.477919 | + | 0.222857i | 0.0166189 | + | 0.00774950i | 0.430910 | − | 0.902395i | \(-0.358193\pi\) |
−0.414291 | + | 0.910144i | \(0.635970\pi\) | |||||||
\(828\) | 14.4724 | − | 54.0119i | 0.502952 | − | 1.87704i | ||||
\(829\) | 0.221683 | − | 0.383966i | 0.00769937 | − | 0.0133357i | −0.862150 | − | 0.506653i | \(-0.830883\pi\) |
0.869849 | + | 0.493317i | \(0.164216\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −38.2566 | − | 45.5925i | −1.32711 | − | 1.58159i | ||||
\(832\) | 0.361755 | + | 4.13488i | 0.0125416 | + | 0.143351i | ||||
\(833\) | 12.6943 | − | 18.1294i | 0.439832 | − | 0.628146i | ||||
\(834\) | −6.11759 | + | 16.8079i | −0.211835 | + | 0.582012i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 1.98369 | + | 5.83786i | 0.0686072 | + | 0.201907i | ||||
\(837\) | −32.1414 | + | 32.1414i | −1.11097 | + | 1.11097i | ||||
\(838\) | −25.8075 | + | 12.0343i | −0.891507 | + | 0.415716i | ||||
\(839\) | −1.58896 | − | 9.01145i | −0.0548571 | − | 0.311110i | 0.945016 | − | 0.327023i | \(-0.106046\pi\) |
−0.999873 | + | 0.0159133i | \(0.994934\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −20.7382 | + | 17.4015i | −0.715112 | + | 0.600050i | ||||
\(842\) | 7.80231 | + | 11.1429i | 0.268885 | + | 0.384008i | ||||
\(843\) | 35.6700 | − | 9.55774i | 1.22854 | − | 0.329186i | ||||
\(844\) | 5.69618 | + | 9.86607i | 0.196071 | + | 0.339604i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −22.9336 | − | 63.0095i | −0.788472 | − | 2.16631i | ||||
\(847\) | −30.0265 | − | 8.04559i | −1.03172 | − | 0.276450i | ||||
\(848\) | 2.69355 | + | 10.0525i | 0.0924968 | + | 0.345203i | ||||
\(849\) | 2.90975 | − | 16.5020i | 0.0998624 | − | 0.566348i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −44.6430 | + | 53.2034i | −1.53034 | + | 1.82379i | ||||
\(852\) | 26.9090 | + | 18.8419i | 0.921887 | + | 0.645512i | ||||
\(853\) | 1.80109 | + | 3.86245i | 0.0616681 | + | 0.132248i | 0.934726 | − | 0.355368i | \(-0.115644\pi\) |
−0.873058 | + | 0.487616i | \(0.837867\pi\) | |||||||
\(854\) | 12.3958 | 0.424174 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 18.1742 | 0.621182 | ||||||||
\(857\) | −1.70026 | − | 3.64622i | −0.0580798 | − | 0.124553i | 0.875126 | − | 0.483896i | \(-0.160779\pi\) |
−0.933206 | + | 0.359343i | \(0.883001\pi\) | |||||||
\(858\) | 15.3919 | + | 10.7775i | 0.525472 | + | 0.367939i | ||||
\(859\) | −15.3804 | + | 18.3296i | −0.524772 | + | 0.625399i | −0.961702 | − | 0.274097i | \(-0.911621\pi\) |
0.436930 | + | 0.899495i | \(0.356066\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −10.9366 | + | 62.0245i | −0.372718 | + | 2.11379i | ||||
\(862\) | 5.56170 | + | 20.7565i | 0.189432 | + | 0.706971i | ||||
\(863\) | −27.4715 | − | 7.36096i | −0.935140 | − | 0.250570i | −0.241095 | − | 0.970501i | \(-0.577507\pi\) |
−0.694045 | + | 0.719931i | \(0.744173\pi\) | |||||||
\(864\) | 4.64400 | + | 12.7593i | 0.157992 | + | 0.434079i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −18.4009 | − | 31.8713i | −0.625287 | − | 1.08303i | ||||
\(867\) | −9.69384 | + | 2.59746i | −0.329220 | + | 0.0882143i | ||||
\(868\) | −6.63270 | − | 9.47248i | −0.225128 | − | 0.321517i | ||||
\(869\) | 2.39806 | − | 2.01221i | 0.0813487 | − | 0.0682597i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −8.34526 | − | 47.3283i | −0.282768 | − | 1.60366i | ||||
\(872\) | 13.8683 | − | 6.46692i | 0.469641 | − | 0.218997i | ||||
\(873\) | −88.1789 | + | 88.1789i | −2.98440 | + | 2.98440i | ||||
\(874\) | 28.7759 | + | 17.4495i | 0.973358 | + | 0.590240i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 8.39129 | − | 23.0549i | 0.283515 | − | 0.778952i | ||||
\(877\) | −23.8761 | + | 34.0986i | −0.806239 | + | 1.15143i | 0.179601 | + | 0.983739i | \(0.442519\pi\) |
−0.985840 | + | 0.167689i | \(0.946370\pi\) | |||||||
\(878\) | 2.06877 | + | 23.6461i | 0.0698176 | + | 0.798019i | ||||
\(879\) | 26.7796 | + | 31.9147i | 0.903255 | + | 1.07646i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 1.70327 | − | 2.95014i | 0.0573845 | − | 0.0993929i | −0.835906 | − | 0.548873i | \(-0.815057\pi\) |
0.893291 | + | 0.449480i | \(0.148391\pi\) | |||||||
\(882\) | −9.24541 | + | 34.5044i | −0.311309 | + | 1.16182i | ||||
\(883\) | −28.0241 | − | 13.0678i | −0.943085 | − | 0.439768i | −0.110631 | − | 0.993862i | \(-0.535287\pi\) |
−0.832454 | + | 0.554094i | \(0.813065\pi\) | |||||||
\(884\) | 17.5020 | − | 6.37022i | 0.588657 | − | 0.214254i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 19.9745 | + | 11.5323i | 0.671058 | + | 0.387435i | ||||
\(887\) | 25.8171 | − | 18.0773i | 0.866852 | − | 0.606977i | −0.0532819 | − | 0.998580i | \(-0.516968\pi\) |
0.920134 | + | 0.391603i | \(0.128079\pi\) | |||||||
\(888\) | 2.50922 | − | 28.6805i | 0.0842038 | − | 0.962453i | ||||
\(889\) | 15.7384 | + | 13.2061i | 0.527848 | + | 0.442917i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 28.8805 | + | 10.5116i | 0.967534 | + | 0.352153i | ||||
\(892\) | −9.49275 | − | 9.49275i | −0.317841 | − | 0.317841i | ||||
\(893\) | 40.2681 | − | 2.65173i | 1.34752 | − | 0.0887366i | ||||
\(894\) | − | 17.6058i | − | 0.588825i | ||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −3.40181 | + | 0.599831i | −0.113647 | + | 0.0200390i | ||||
\(897\) | 102.169 | − | 8.93860i | 3.41131 | − | 0.298451i | ||||
\(898\) | 24.2092 | + | 2.11803i | 0.807870 | + | 0.0706795i | ||||
\(899\) | −4.57784 | − | 0.807197i | −0.152680 | − | 0.0269215i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 40.4430 | − | 23.3498i | 1.34735 | − | 0.777893i | ||||
\(902\) | −3.40565 | + | 7.30344i | −0.113396 | + | 0.243178i | ||||
\(903\) | −9.46892 | + | 20.3062i | −0.315106 | + | 0.675747i | ||||
\(904\) | −10.9822 | + | 6.34057i | −0.365262 | + | 0.210884i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −74.7675 | − | 13.1835i | −2.48399 | − | 0.437994i | ||||
\(907\) | −11.3172 | − | 0.990124i | −0.375780 | − | 0.0328765i | −0.102299 | − | 0.994754i | \(-0.532620\pi\) |
−0.273482 | + | 0.961877i | \(0.588175\pi\) | |||||||
\(908\) | −1.42824 | + | 0.124955i | −0.0473980 | + | 0.00414678i | ||||
\(909\) | 29.1018 | − | 5.13144i | 0.965247 | − | 0.170199i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 39.9545i | 1.32375i | 0.749614 | + | 0.661875i | \(0.230239\pi\) | ||||
−0.749614 | + | 0.661875i | \(0.769761\pi\) | |||||||
\(912\) | −13.9201 | + | 0.916664i | −0.460941 | + | 0.0303538i | ||||
\(913\) | 3.40410 | + | 3.40410i | 0.112659 | + | 0.112659i | ||||
\(914\) | 29.1523 | + | 10.6106i | 0.964273 | + | 0.350967i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 10.0359 | + | 8.42115i | 0.331597 | + | 0.278243i | ||||
\(917\) | −4.00428 | + | 45.7691i | −0.132233 | + | 1.51143i | ||||
\(918\) | 49.9102 | − | 34.9475i | 1.64728 | − | 1.15344i | ||||
\(919\) | −41.2189 | − | 23.7978i | −1.35969 | − | 0.785016i | −0.370106 | − | 0.928990i | \(-0.620679\pi\) |
−0.989582 | + | 0.143974i | \(0.954012\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −24.5666 | + | 8.94153i | −0.809498 | + | 0.294633i | ||||
\(922\) | 2.85513 | + | 1.33137i | 0.0940288 | + | 0.0438463i | ||||
\(923\) | −11.0266 | + | 41.1519i | −0.362945 | + | 1.35453i | ||||
\(924\) | −7.81878 | + | 13.5425i | −0.257219 | + | 0.445516i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 10.3104 | + | 12.2875i | 0.338822 | + | 0.403792i | ||||
\(927\) | 7.25975 | + | 82.9793i | 0.238442 | + | 2.72540i | ||||
\(928\) | −0.796454 | + | 1.13745i | −0.0261449 | + | 0.0373387i | ||||
\(929\) | −16.1400 | + | 44.3442i | −0.529535 | + | 1.45489i | 0.330085 | + | 0.943951i | \(0.392923\pi\) |
−0.859620 | + | 0.510934i | \(0.829300\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −18.3829 | − | 11.1473i | −0.602474 | − | 0.365337i | ||||
\(932\) | −0.575773 | + | 0.575773i | −0.0188601 | + | 0.0188601i | ||||
\(933\) | −20.6379 | + | 9.62363i | −0.675656 | + | 0.315063i | ||||
\(934\) | −2.35941 | − | 13.3809i | −0.0772024 | − | 0.437837i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −23.0286 | + | 19.3233i | −0.752714 | + | 0.631602i | ||||
\(937\) | −22.7543 | − | 32.4965i | −0.743351 | − | 1.06161i | −0.995577 | − | 0.0939465i | \(-0.970052\pi\) |
0.252227 | − | 0.967668i | \(-0.418837\pi\) | |||||||
\(938\) | 38.6326 | − | 10.3516i | 1.26140 | − | 0.337991i | ||||
\(939\) | −10.0961 | − | 17.4870i | −0.329475 | − | 0.570668i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −0.341008 | − | 0.936911i | −0.0111165 | − | 0.0305424i | 0.934010 | − | 0.357246i | \(-0.116284\pi\) |
−0.945127 | + | 0.326704i | \(0.894062\pi\) | |||||||
\(942\) | 12.0687 | + | 3.23380i | 0.393220 | + | 0.105363i | ||||
\(943\) | 11.3839 | + | 42.4855i | 0.370712 | + | 1.38352i | ||||
\(944\) | −0.560698 | + | 3.17987i | −0.0182492 | + | 0.103496i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −1.84272 | + | 2.19607i | −0.0599120 | + | 0.0714004i | ||||
\(947\) | −43.7371 | − | 30.6250i | −1.42126 | − | 0.995180i | −0.995929 | − | 0.0901435i | \(-0.971267\pi\) |
−0.425335 | − | 0.905036i | \(-0.639844\pi\) | |||||||
\(948\) | 2.99334 | + | 6.41924i | 0.0972191 | + | 0.208487i | ||||
\(949\) | 31.8192 | 1.03290 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −24.5649 | −0.796570 | ||||||||
\(952\) | 6.55076 | + | 14.0481i | 0.212311 | + | 0.455303i | ||||
\(953\) | 7.74722 | + | 5.42466i | 0.250957 | + | 0.175722i | 0.692286 | − | 0.721624i | \(-0.256604\pi\) |
−0.441329 | + | 0.897346i | \(0.645493\pi\) | |||||||
\(954\) | −48.4498 | + | 57.7402i | −1.56862 | + | 1.86941i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 3.61827 | − | 20.5202i | 0.117023 | − | 0.663672i | ||||
\(957\) | 1.62695 | + | 6.07188i | 0.0525920 | + | 0.196276i | ||||
\(958\) | −16.6379 | − | 4.45812i | −0.537548 | − | 0.144035i | ||||
\(959\) | −7.76508 | − | 21.3344i | −0.250748 | − | 0.688923i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −9.89662 | − | 17.1414i | −0.319246 | − | 0.552950i | ||||
\(962\) | 36.0660 | − | 9.66386i | 1.16282 | − | 0.311575i | ||||
\(963\) | 75.4993 | + | 107.824i | 2.43293 | + | 3.47459i | ||||
\(964\) | −17.6818 | + | 14.8368i | −0.569491 | + | 0.477860i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 14.8212 | + | 84.0554i | 0.476865 | + | 2.70444i | ||||
\(967\) | −15.2666 | + | 7.11895i | −0.490942 | + | 0.228930i | −0.652293 | − | 0.757967i | \(-0.726193\pi\) |
0.161351 | + | 0.986897i | \(0.448415\pi\) | |||||||
\(968\) | 6.36338 | − | 6.36338i | 0.204527 | − | 0.204527i | ||||
\(969\) | 20.1400 | + | 59.2706i | 0.646989 | + | 1.90405i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −0.707107 | + | 1.94276i | −0.0226922 | + | 0.0623462i | −0.950521 | − | 0.310659i | \(-0.899450\pi\) |
0.927829 | + | 0.373005i | \(0.121673\pi\) | |||||||
\(972\) | −16.5209 | + | 23.5943i | −0.529907 | + | 0.756786i | ||||
\(973\) | −1.68259 | − | 19.2321i | −0.0539413 | − | 0.616552i | ||||
\(974\) | −7.41063 | − | 8.83164i | −0.237452 | − | 0.282984i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.79426 | + | 3.10774i | −0.0574327 | + | 0.0994764i | ||||
\(977\) | 0.879812 | − | 3.28350i | 0.0281477 | − | 0.105049i | −0.950423 | − | 0.310960i | \(-0.899349\pi\) |
0.978571 | + | 0.205912i | \(0.0660160\pi\) | |||||||
\(978\) | −13.6248 | − | 6.35335i | −0.435673 | − | 0.203158i | ||||
\(979\) | 17.8479 | − | 6.49611i | 0.570422 | − | 0.207616i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 95.9789 | + | 55.4134i | 3.06437 | + | 1.76921i | ||||
\(982\) | −0.856896 | + | 0.600005i | −0.0273446 | + | 0.0191469i | ||||
\(983\) | 4.52441 | − | 51.7142i | 0.144306 | − | 1.64943i | −0.486642 | − | 0.873602i | \(-0.661778\pi\) |
0.630948 | − | 0.775825i | \(-0.282666\pi\) | |||||||
\(984\) | −13.9671 | − | 11.7198i | −0.445255 | − | 0.373614i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 5.85517 | + | 2.13111i | 0.186466 | + | 0.0678683i | ||||
\(987\) | 72.3725 | + | 72.3725i | 2.30364 | + | 2.30364i | ||||
\(988\) | −7.29172 | − | 16.5579i | −0.231980 | − | 0.526777i | ||||
\(989\) | 15.6472i | 0.497553i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −21.0199 | + | 3.70638i | −0.667719 | + | 0.117737i | −0.497225 | − | 0.867622i | \(-0.665648\pi\) |
−0.170494 | + | 0.985359i | \(0.554536\pi\) | |||||||
\(992\) | 3.33491 | − | 0.291767i | 0.105884 | − | 0.00926361i | ||||
\(993\) | −84.0094 | − | 7.34987i | −2.66596 | − | 0.233241i | ||||
\(994\) | −34.9171 | − | 6.15682i | −1.10750 | − | 0.195283i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −9.43298 | + | 5.44613i | −0.298895 | + | 0.172567i | ||||
\(997\) | −3.48901 | + | 7.48222i | −0.110498 | + | 0.236964i | −0.953779 | − | 0.300509i | \(-0.902843\pi\) |
0.843281 | + | 0.537473i | \(0.180621\pi\) | |||||||
\(998\) | −6.76252 | + | 14.5023i | −0.214064 | + | 0.459062i | ||||
\(999\) | 105.781 | − | 61.0726i | 3.34676 | − | 1.93225i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 950.2.bb.d.243.1 | ✓ | 96 | |
5.2 | odd | 4 | inner | 950.2.bb.d.357.5 | yes | 96 | |
5.3 | odd | 4 | inner | 950.2.bb.d.357.4 | yes | 96 | |
5.4 | even | 2 | inner | 950.2.bb.d.243.8 | yes | 96 | |
19.14 | odd | 18 | inner | 950.2.bb.d.793.5 | yes | 96 | |
95.14 | odd | 18 | inner | 950.2.bb.d.793.4 | yes | 96 | |
95.33 | even | 36 | inner | 950.2.bb.d.907.8 | yes | 96 | |
95.52 | even | 36 | inner | 950.2.bb.d.907.1 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.bb.d.243.1 | ✓ | 96 | 1.1 | even | 1 | trivial | |
950.2.bb.d.243.8 | yes | 96 | 5.4 | even | 2 | inner | |
950.2.bb.d.357.4 | yes | 96 | 5.3 | odd | 4 | inner | |
950.2.bb.d.357.5 | yes | 96 | 5.2 | odd | 4 | inner | |
950.2.bb.d.793.4 | yes | 96 | 95.14 | odd | 18 | inner | |
950.2.bb.d.793.5 | yes | 96 | 19.14 | odd | 18 | inner | |
950.2.bb.d.907.1 | yes | 96 | 95.52 | even | 36 | inner | |
950.2.bb.d.907.8 | yes | 96 | 95.33 | even | 36 | inner |