Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(99,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.u (of order \(18\), degree \(6\), not 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: | \(36\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{18})\) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 199.3 | ||
Character | \(\chi\) | \(=\) | 950.199 |
Dual form | 950.2.u.g.549.3 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | 2.20410 | + | 2.62675i | 1.27254 | + | 1.51655i | 0.745088 | + | 0.666966i | \(0.232407\pi\) |
0.527450 | + | 0.849586i | \(0.323148\pi\) | |||||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.62675 | − | 2.20410i | −1.07236 | − | 0.899820i | ||||
\(7\) | 1.61687 | + | 0.933500i | 0.611119 | + | 0.352830i | 0.773403 | − | 0.633914i | \(-0.218553\pi\) |
−0.162284 | + | 0.986744i | \(0.551886\pi\) | |||||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | −1.52078 | + | 8.62480i | −0.506928 | + | 2.87493i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.80254 | + | 3.12210i | 0.543488 | + | 0.941348i | 0.998700 | + | 0.0509654i | \(0.0162298\pi\) |
−0.455213 | + | 0.890383i | \(0.650437\pi\) | |||||||
\(12\) | 2.96958 | + | 1.71449i | 0.857243 | + | 0.494930i | ||||
\(13\) | 1.82353 | − | 2.17319i | 0.505755 | − | 0.602736i | −0.451396 | − | 0.892324i | \(-0.649074\pi\) |
0.957151 | + | 0.289588i | \(0.0935183\pi\) | |||||||
\(14\) | −1.75441 | − | 0.638551i | −0.468885 | − | 0.170660i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 5.89781 | − | 1.03994i | 1.43043 | − | 0.252223i | 0.595842 | − | 0.803101i | \(-0.296818\pi\) |
0.834586 | + | 0.550878i | \(0.185707\pi\) | |||||||
\(18\) | − | 8.75785i | − | 2.06425i | ||||||
\(19\) | −4.32047 | − | 0.577506i | −0.991184 | − | 0.132489i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.11168 | + | 6.30463i | 0.242588 | + | 1.37578i | ||||
\(22\) | −2.31731 | − | 2.76166i | −0.494051 | − | 0.588787i | ||||
\(23\) | −1.74011 | − | 4.78092i | −0.362839 | − | 0.996892i | −0.978021 | − | 0.208507i | \(-0.933140\pi\) |
0.615182 | − | 0.788385i | \(-0.289082\pi\) | |||||||
\(24\) | −3.22218 | − | 1.17278i | −0.657725 | − | 0.239392i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.41845 | + | 2.45683i | −0.278181 | + | 0.481824i | ||||
\(27\) | −17.0984 | + | 9.87176i | −3.29059 | + | 1.89982i | ||||
\(28\) | 1.83864 | + | 0.324201i | 0.347469 | + | 0.0612682i | ||||
\(29\) | −0.204642 | + | 1.16058i | −0.0380010 | + | 0.215514i | −0.997895 | − | 0.0648484i | \(-0.979344\pi\) |
0.959894 | + | 0.280363i | \(0.0904547\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.59932 | − | 4.50215i | 0.466851 | − | 0.808610i | −0.532432 | − | 0.846473i | \(-0.678722\pi\) |
0.999283 | + | 0.0378630i | \(0.0120550\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | −4.22797 | + | 11.6162i | −0.735995 | + | 2.02213i | ||||
\(34\) | −5.62762 | + | 2.04829i | −0.965129 | + | 0.351278i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.52078 | + | 8.62480i | 0.253464 | + | 1.43747i | ||||
\(37\) | − | 3.35231i | − | 0.551116i | −0.961285 | − | 0.275558i | \(-0.911137\pi\) | ||
0.961285 | − | 0.275558i | \(-0.0888625\pi\) | |||||||
\(38\) | 4.35512 | − | 0.181510i | 0.706493 | − | 0.0294447i | ||||
\(39\) | 9.72766 | 1.55767 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.85406 | + | 2.39484i | −0.445730 | + | 0.374012i | −0.837848 | − | 0.545903i | \(-0.816187\pi\) |
0.392119 | + | 0.919915i | \(0.371742\pi\) | |||||||
\(42\) | −2.18958 | − | 6.01581i | −0.337859 | − | 0.928259i | ||||
\(43\) | 0.229755 | − | 0.631247i | 0.0350373 | − | 0.0962642i | −0.920940 | − | 0.389703i | \(-0.872578\pi\) |
0.955978 | + | 0.293439i | \(0.0947998\pi\) | |||||||
\(44\) | 2.76166 | + | 2.31731i | 0.416336 | + | 0.349347i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.54388 | + | 4.40612i | 0.375074 | + | 0.649647i | ||||
\(47\) | 6.22647 | + | 1.09789i | 0.908223 | + | 0.160144i | 0.608197 | − | 0.793786i | \(-0.291893\pi\) |
0.300027 | + | 0.953931i | \(0.403004\pi\) | |||||||
\(48\) | 3.37688 | + | 0.595435i | 0.487410 | + | 0.0859436i | ||||
\(49\) | −1.75716 | − | 3.04348i | −0.251022 | − | 0.434783i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 15.7310 | + | 13.1999i | 2.20278 | + | 1.84836i | ||||
\(52\) | 0.970278 | − | 2.66582i | 0.134553 | − | 0.369682i | ||||
\(53\) | −0.876116 | − | 2.40711i | −0.120344 | − | 0.330642i | 0.864864 | − | 0.502006i | \(-0.167405\pi\) |
−0.985208 | + | 0.171365i | \(0.945182\pi\) | |||||||
\(54\) | 15.1244 | − | 12.6909i | 2.05817 | − | 1.72701i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.86700 | −0.249488 | ||||||||
\(57\) | −8.00580 | − | 12.6217i | −1.06039 | − | 1.67178i | ||||
\(58\) | − | 1.17848i | − | 0.154743i | ||||||
\(59\) | 0.827999 | + | 4.69581i | 0.107796 | + | 0.611343i | 0.990067 | + | 0.140600i | \(0.0449031\pi\) |
−0.882270 | + | 0.470743i | \(0.843986\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.73966 | + | 2.81701i | −0.990962 | + | 0.360681i | −0.786093 | − | 0.618109i | \(-0.787899\pi\) |
−0.204869 | + | 0.978789i | \(0.565677\pi\) | |||||||
\(62\) | −1.77804 | + | 4.88512i | −0.225811 | + | 0.620411i | ||||
\(63\) | −10.5102 | + | 12.5255i | −1.32416 | + | 1.57807i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.14660 | − | 12.1739i | 0.264228 | − | 1.49851i | ||||
\(67\) | −7.84286 | − | 1.38291i | −0.958158 | − | 0.168949i | −0.327363 | − | 0.944899i | \(-0.606160\pi\) |
−0.630795 | + | 0.775949i | \(0.717271\pi\) | |||||||
\(68\) | 5.18644 | − | 2.99439i | 0.628949 | − | 0.363124i | ||||
\(69\) | 8.72288 | − | 15.1085i | 1.05011 | − | 1.81885i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.81077 | + | 0.659065i | 0.214898 | + | 0.0782166i | 0.447226 | − | 0.894421i | \(-0.352412\pi\) |
−0.232328 | + | 0.972638i | \(0.574634\pi\) | |||||||
\(72\) | −2.99536 | − | 8.22969i | −0.353007 | − | 0.969878i | ||||
\(73\) | −3.22165 | − | 3.83942i | −0.377066 | − | 0.449370i | 0.543820 | − | 0.839202i | \(-0.316978\pi\) |
−0.920886 | + | 0.389832i | \(0.872533\pi\) | |||||||
\(74\) | 0.582122 | + | 3.30138i | 0.0676703 | + | 0.383777i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.25744 | + | 0.935010i | −0.488361 | + | 0.107253i | ||||
\(77\) | 6.73070i | 0.767034i | ||||||||
\(78\) | −9.57988 | + | 1.68919i | −1.08471 | + | 0.191263i | ||||
\(79\) | 0.460535 | − | 0.386434i | 0.0518142 | − | 0.0434773i | −0.616513 | − | 0.787345i | \(-0.711455\pi\) |
0.668327 | + | 0.743868i | \(0.267011\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −38.9281 | − | 14.1687i | −4.32534 | − | 1.57430i | ||||
\(82\) | 2.39484 | − | 2.85406i | 0.264466 | − | 0.315179i | ||||
\(83\) | 1.64789 | + | 0.951408i | 0.180879 | + | 0.104431i | 0.587706 | − | 0.809075i | \(-0.300031\pi\) |
−0.406827 | + | 0.913505i | \(0.633365\pi\) | |||||||
\(84\) | 3.20094 | + | 5.54420i | 0.349252 | + | 0.604922i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.116650 | + | 0.661553i | −0.0125787 | + | 0.0713371i | ||||
\(87\) | −3.49960 | + | 2.02049i | −0.375196 | + | 0.216620i | ||||
\(88\) | −3.12210 | − | 1.80254i | −0.332817 | − | 0.192152i | ||||
\(89\) | −0.755257 | − | 0.633736i | −0.0800571 | − | 0.0671759i | 0.601881 | − | 0.798586i | \(-0.294418\pi\) |
−0.681938 | + | 0.731410i | \(0.738863\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.97708 | − | 1.81151i | 0.521740 | − | 0.189898i | ||||
\(92\) | −3.27034 | − | 3.89744i | −0.340957 | − | 0.406337i | ||||
\(93\) | 17.5552 | − | 3.09545i | 1.82039 | − | 0.320983i | ||||
\(94\) | −6.32252 | −0.652118 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −3.42897 | −0.349968 | ||||||||
\(97\) | −0.184712 | + | 0.0325697i | −0.0187547 | + | 0.00330695i | −0.183018 | − | 0.983110i | \(-0.558587\pi\) |
0.164263 | + | 0.986417i | \(0.447475\pi\) | |||||||
\(98\) | 2.25896 | + | 2.69212i | 0.228189 | + | 0.271945i | ||||
\(99\) | −29.6688 | + | 10.7985i | −2.98182 | + | 1.08529i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.50168 | − | 1.26006i | −0.149423 | − | 0.125380i | 0.565012 | − | 0.825083i | \(-0.308872\pi\) |
−0.714435 | + | 0.699702i | \(0.753316\pi\) | |||||||
\(102\) | −17.7842 | − | 10.2677i | −1.76090 | − | 1.01665i | ||||
\(103\) | 15.1589 | − | 8.75199i | 1.49365 | − | 0.862359i | 0.493676 | − | 0.869646i | \(-0.335653\pi\) |
0.999973 | + | 0.00728653i | \(0.00231940\pi\) | |||||||
\(104\) | −0.492623 | + | 2.79380i | −0.0483057 | + | 0.273955i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.28080 | + | 2.21840i | 0.124402 | + | 0.215470i | ||||
\(107\) | 9.17096 | + | 5.29485i | 0.886590 | + | 0.511873i | 0.872826 | − | 0.488032i | \(-0.162285\pi\) |
0.0137643 | + | 0.999905i | \(0.495619\pi\) | |||||||
\(108\) | −12.6909 | + | 15.1244i | −1.22118 | + | 1.45535i | ||||
\(109\) | −13.0386 | − | 4.74565i | −1.24887 | − | 0.454551i | −0.368849 | − | 0.929489i | \(-0.620248\pi\) |
−0.880019 | + | 0.474939i | \(0.842470\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.80565 | − | 7.38882i | 0.835796 | − | 0.701316i | ||||
\(112\) | 1.83864 | − | 0.324201i | 0.173735 | − | 0.0306341i | ||||
\(113\) | − | 15.9357i | − | 1.49911i | −0.661944 | − | 0.749553i | \(-0.730268\pi\) | ||
0.661944 | − | 0.749553i | \(-0.269732\pi\) | |||||||
\(114\) | 10.0759 | + | 11.0397i | 0.943694 | + | 1.03396i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.204642 | + | 1.16058i | 0.0190005 | + | 0.107757i | ||||
\(117\) | 15.9702 | + | 19.0325i | 1.47644 | + | 1.75956i | ||||
\(118\) | −1.63084 | − | 4.48069i | −0.150131 | − | 0.412481i | ||||
\(119\) | 10.5068 | + | 3.82415i | 0.963154 | + | 0.350559i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.998331 | + | 1.72916i | −0.0907574 | + | 0.157196i | ||||
\(122\) | 7.13291 | − | 4.11819i | 0.645783 | − | 0.372843i | ||||
\(123\) | −12.5813 | − | 2.21842i | −1.13442 | − | 0.200028i | ||||
\(124\) | 0.902733 | − | 5.11966i | 0.0810679 | − | 0.459759i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 8.17545 | − | 14.1603i | 0.728327 | − | 1.26150i | ||||
\(127\) | −10.8078 | + | 12.8803i | −0.959041 | + | 1.14294i | 0.0306225 | + | 0.999531i | \(0.490251\pi\) |
−0.989663 | + | 0.143409i | \(0.954193\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | 2.16453 | − | 0.787824i | 0.190576 | − | 0.0693640i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.13110 | + | 6.41481i | 0.0988249 | + | 0.560464i | 0.993508 | + | 0.113763i | \(0.0362903\pi\) |
−0.894683 | + | 0.446702i | \(0.852599\pi\) | |||||||
\(132\) | 12.3617i | 1.07595i | ||||||||
\(133\) | −6.44654 | − | 4.96691i | −0.558986 | − | 0.430686i | ||||
\(134\) | 7.96385 | 0.687972 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.58768 | + | 3.84952i | −0.393390 | + | 0.330094i | ||||
\(137\) | 6.92459 | + | 19.0252i | 0.591608 | + | 1.62543i | 0.767521 | + | 0.641023i | \(0.221490\pi\) |
−0.175914 | + | 0.984406i | \(0.556288\pi\) | |||||||
\(138\) | −5.96680 | + | 16.3937i | −0.507928 | + | 1.39552i | ||||
\(139\) | −3.05535 | − | 2.56374i | −0.259151 | − | 0.217454i | 0.503950 | − | 0.863733i | \(-0.331880\pi\) |
−0.763101 | + | 0.646279i | \(0.776324\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.8399 | + | 18.7752i | 0.912882 | + | 1.58116i | ||||
\(142\) | −1.89770 | − | 0.334616i | −0.159252 | − | 0.0280803i | ||||
\(143\) | 10.0719 | + | 1.77595i | 0.842256 | + | 0.148512i | ||||
\(144\) | 4.37893 | + | 7.58452i | 0.364910 | + | 0.632043i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 3.83942 | + | 3.22165i | 0.317753 | + | 0.266626i | ||||
\(147\) | 4.12151 | − | 11.3237i | 0.339936 | − | 0.933967i | ||||
\(148\) | −1.14656 | − | 3.15014i | −0.0942463 | − | 0.258940i | ||||
\(149\) | −4.31479 | + | 3.62054i | −0.353481 | + | 0.296606i | −0.802186 | − | 0.597074i | \(-0.796330\pi\) |
0.448705 | + | 0.893680i | \(0.351885\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.23848 | −0.100786 | −0.0503932 | − | 0.998729i | \(-0.516047\pi\) | ||||
−0.0503932 | + | 0.998729i | \(0.516047\pi\) | |||||||
\(152\) | 4.03039 | − | 1.66010i | 0.326908 | − | 0.134652i | ||||
\(153\) | 52.4489i | 4.24024i | ||||||||
\(154\) | −1.16877 | − | 6.62844i | −0.0941825 | − | 0.534135i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 9.14101 | − | 3.32706i | 0.731867 | − | 0.266378i | ||||
\(157\) | 7.35594 | − | 20.2103i | 0.587068 | − | 1.61296i | −0.188769 | − | 0.982021i | \(-0.560450\pi\) |
0.775837 | − | 0.630934i | \(-0.217328\pi\) | |||||||
\(158\) | −0.386434 | + | 0.460535i | −0.0307431 | + | 0.0366382i | ||||
\(159\) | 4.39181 | − | 7.60685i | 0.348294 | − | 0.603262i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.64946 | − | 9.35452i | 0.129995 | − | 0.737240i | ||||
\(162\) | 40.7970 | + | 7.19362i | 3.20532 | + | 0.565184i | ||||
\(163\) | 15.6067 | − | 9.01050i | 1.22241 | − | 0.705757i | 0.256977 | − | 0.966418i | \(-0.417274\pi\) |
0.965431 | + | 0.260660i | \(0.0839403\pi\) | |||||||
\(164\) | −1.86286 | + | 3.22656i | −0.145465 | + | 0.251952i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.78806 | − | 0.650801i | −0.138781 | − | 0.0505120i | ||||
\(167\) | −3.73105 | − | 10.2510i | −0.288717 | − | 0.793244i | −0.996247 | − | 0.0865598i | \(-0.972413\pi\) |
0.707530 | − | 0.706684i | \(-0.249810\pi\) | |||||||
\(168\) | −4.11506 | − | 4.90413i | −0.317483 | − | 0.378362i | ||||
\(169\) | 0.859902 | + | 4.87675i | 0.0661463 | + | 0.375134i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.5514 | − | 36.3850i | 0.883357 | − | 2.78243i | ||||
\(172\) | − | 0.671759i | − | 0.0512211i | ||||||
\(173\) | −0.143686 | + | 0.0253357i | −0.0109242 | + | 0.00192623i | −0.179108 | − | 0.983829i | \(-0.557321\pi\) |
0.168183 | + | 0.985756i | \(0.446210\pi\) | |||||||
\(174\) | 3.09558 | − | 2.59750i | 0.234675 | − | 0.196916i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.38767 | + | 1.23301i | 0.255356 | + | 0.0929418i | ||||
\(177\) | −10.5097 | + | 12.5250i | −0.789958 | + | 0.941436i | ||||
\(178\) | 0.853830 | + | 0.492959i | 0.0639973 | + | 0.0369488i | ||||
\(179\) | 2.84974 | + | 4.93590i | 0.213000 | + | 0.368927i | 0.952652 | − | 0.304063i | \(-0.0983433\pi\) |
−0.739652 | + | 0.672989i | \(0.765010\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.21271 | + | 18.2202i | −0.238799 | + | 1.35430i | 0.595665 | + | 0.803233i | \(0.296889\pi\) |
−0.834464 | + | 0.551063i | \(0.814223\pi\) | |||||||
\(182\) | −4.58690 | + | 2.64825i | −0.340004 | + | 0.196301i | ||||
\(183\) | −24.4586 | − | 14.1212i | −1.80803 | − | 1.04387i | ||||
\(184\) | 3.89744 | + | 3.27034i | 0.287323 | + | 0.241093i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −16.7509 | + | 6.09684i | −1.22824 | + | 0.447042i | ||||
\(187\) | 13.8779 | + | 16.5390i | 1.01485 | + | 1.20945i | ||||
\(188\) | 6.22647 | − | 1.09789i | 0.454112 | − | 0.0800721i | ||||
\(189\) | −36.8611 | −2.68125 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.8820 | 1.36626 | 0.683128 | − | 0.730298i | \(-0.260619\pi\) | ||||
0.683128 | + | 0.730298i | \(0.260619\pi\) | |||||||
\(192\) | 3.37688 | − | 0.595435i | 0.243705 | − | 0.0429718i | ||||
\(193\) | 3.13916 | + | 3.74110i | 0.225961 | + | 0.269290i | 0.867099 | − | 0.498135i | \(-0.165982\pi\) |
−0.641138 | + | 0.767426i | \(0.721537\pi\) | |||||||
\(194\) | 0.176250 | − | 0.0641498i | 0.0126540 | − | 0.00460568i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.69212 | − | 2.25896i | −0.192294 | − | 0.161354i | ||||
\(197\) | −3.04622 | − | 1.75874i | −0.217034 | − | 0.125305i | 0.387542 | − | 0.921852i | \(-0.373324\pi\) |
−0.604576 | + | 0.796547i | \(0.706658\pi\) | |||||||
\(198\) | 27.3429 | − | 15.7864i | 1.94317 | − | 1.12189i | ||||
\(199\) | 0.145954 | − | 0.827747i | 0.0103464 | − | 0.0586774i | −0.979197 | − | 0.202910i | \(-0.934960\pi\) |
0.989544 | + | 0.144232i | \(0.0460713\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.6539 | − | 23.6493i | −0.963073 | − | 1.66809i | ||||
\(202\) | 1.69767 | + | 0.980151i | 0.119448 | + | 0.0689632i | ||||
\(203\) | −1.41428 | + | 1.68547i | −0.0992630 | + | 0.118297i | ||||
\(204\) | 19.2970 | + | 7.02352i | 1.35106 | + | 0.491745i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −13.4088 | + | 11.2513i | −0.934237 | + | 0.783918i | ||||
\(207\) | 43.8809 | − | 7.73738i | 3.04993 | − | 0.537785i | ||||
\(208\) | − | 2.83690i | − | 0.196704i | ||||||
\(209\) | −5.98481 | − | 14.5299i | −0.413978 | − | 1.00506i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.75961 | − | 26.9931i | −0.327665 | − | 1.85828i | −0.490244 | − | 0.871585i | \(-0.663092\pi\) |
0.162579 | − | 0.986695i | \(-0.448019\pi\) | |||||||
\(212\) | −1.64656 | − | 1.96229i | −0.113086 | − | 0.134771i | ||||
\(213\) | 2.25991 | + | 6.20906i | 0.154847 | + | 0.425438i | ||||
\(214\) | −9.95107 | − | 3.62189i | −0.680241 | − | 0.247588i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 9.87176 | − | 17.0984i | 0.671688 | − | 1.16340i | ||||
\(217\) | 8.40551 | − | 4.85292i | 0.570603 | − | 0.329438i | ||||
\(218\) | 13.6646 | + | 2.40943i | 0.925480 | + | 0.163187i | ||||
\(219\) | 2.98432 | − | 16.9249i | 0.201662 | − | 1.14368i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.49481 | − | 14.7134i | 0.571423 | − | 0.989733i | ||||
\(222\) | −7.38882 | + | 8.80565i | −0.495905 | + | 0.590997i | ||||
\(223\) | −3.91105 | + | 10.7455i | −0.261903 | + | 0.719574i | 0.737136 | + | 0.675745i | \(0.236178\pi\) |
−0.999039 | + | 0.0438288i | \(0.986044\pi\) | |||||||
\(224\) | −1.75441 | + | 0.638551i | −0.117221 | + | 0.0426650i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.76721 | + | 15.6936i | 0.184072 | + | 1.04392i | ||||
\(227\) | − | 15.6154i | − | 1.03643i | −0.855251 | − | 0.518214i | \(-0.826597\pi\) | ||
0.855251 | − | 0.518214i | \(-0.173403\pi\) | |||||||
\(228\) | −11.8399 | − | 9.12234i | −0.784113 | − | 0.604142i | ||||
\(229\) | −5.50003 | −0.363452 | −0.181726 | − | 0.983349i | \(-0.558168\pi\) | ||||
−0.181726 | + | 0.983349i | \(0.558168\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −17.6798 | + | 14.8351i | −1.16325 | + | 0.976080i | ||||
\(232\) | −0.403065 | − | 1.10741i | −0.0264625 | − | 0.0727052i | ||||
\(233\) | −3.87461 | + | 10.6454i | −0.253834 | + | 0.697404i | 0.745682 | + | 0.666302i | \(0.232124\pi\) |
−0.999516 | + | 0.0311019i | \(0.990098\pi\) | |||||||
\(234\) | −19.0325 | − | 15.9702i | −1.24419 | − | 1.04400i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.38413 | + | 4.12943i | 0.155193 | + | 0.268803i | ||||
\(237\) | 2.03013 | + | 0.357967i | 0.131871 | + | 0.0232524i | ||||
\(238\) | −11.0112 | − | 1.94157i | −0.713750 | − | 0.125853i | ||||
\(239\) | 0.741670 | + | 1.28461i | 0.0479747 | + | 0.0830946i | 0.889016 | − | 0.457877i | \(-0.151390\pi\) |
−0.841041 | + | 0.540972i | \(0.818057\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.44943 | − | 5.41172i | −0.415444 | − | 0.348599i | 0.410983 | − | 0.911643i | \(-0.365186\pi\) |
−0.826427 | + | 0.563044i | \(0.809630\pi\) | |||||||
\(242\) | 0.682899 | − | 1.87625i | 0.0438984 | − | 0.120610i | ||||
\(243\) | −28.3259 | − | 77.8248i | −1.81711 | − | 4.99247i | ||||
\(244\) | −6.30943 | + | 5.29424i | −0.403920 | + | 0.338929i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 12.7754 | 0.814528 | ||||||||
\(247\) | −9.13353 | + | 8.33613i | −0.581153 | + | 0.530415i | ||||
\(248\) | 5.19863i | 0.330114i | ||||||||
\(249\) | 1.13300 | + | 6.42558i | 0.0718011 | + | 0.407204i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.4219 | + | 3.79327i | −0.657826 | + | 0.239429i | −0.649298 | − | 0.760535i | \(-0.724937\pi\) |
−0.00852858 | + | 0.999964i | \(0.502715\pi\) | |||||||
\(252\) | −5.59234 | + | 15.3648i | −0.352284 | + | 0.967893i | ||||
\(253\) | 11.7899 | − | 14.0506i | 0.741223 | − | 0.883356i | ||||
\(254\) | 8.40701 | − | 14.5614i | 0.527503 | − | 0.913661i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −11.3101 | − | 1.99428i | −0.705506 | − | 0.124400i | −0.190627 | − | 0.981663i | \(-0.561052\pi\) |
−0.514879 | + | 0.857263i | \(0.672163\pi\) | |||||||
\(258\) | −1.99484 | + | 1.15172i | −0.124193 | + | 0.0717030i | ||||
\(259\) | 3.12938 | − | 5.42024i | 0.194450 | − | 0.336797i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.69856 | − | 3.52999i | −0.600326 | − | 0.218501i | ||||
\(262\) | −2.22784 | − | 6.12094i | −0.137636 | − | 0.378153i | ||||
\(263\) | 20.4010 | + | 24.3129i | 1.25798 | + | 1.49920i | 0.786864 | + | 0.617126i | \(0.211703\pi\) |
0.471113 | + | 0.882073i | \(0.343852\pi\) | |||||||
\(264\) | −2.14660 | − | 12.1739i | −0.132114 | − | 0.749255i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 7.21109 | + | 3.77202i | 0.442141 | + | 0.231278i | ||||
\(267\) | − | 3.38069i | − | 0.206895i | ||||||
\(268\) | −7.84286 | + | 1.38291i | −0.479079 | + | 0.0844746i | ||||
\(269\) | 17.8932 | − | 15.0142i | 1.09097 | − | 0.915431i | 0.0941831 | − | 0.995555i | \(-0.469976\pi\) |
0.996785 | + | 0.0801240i | \(0.0255316\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.7560 | + | 7.55458i | 1.26084 | + | 0.458908i | 0.884050 | − | 0.467392i | \(-0.154806\pi\) |
0.376788 | + | 0.926299i | \(0.377028\pi\) | |||||||
\(272\) | 3.84952 | − | 4.58768i | 0.233411 | − | 0.278169i | ||||
\(273\) | 15.7284 | + | 9.08077i | 0.951924 | + | 0.549593i | ||||
\(274\) | −10.1231 | − | 17.5337i | −0.611557 | − | 1.05925i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.02943 | − | 17.1807i | 0.182350 | − | 1.03416i | ||||
\(277\) | 17.1581 | − | 9.90622i | 1.03093 | − | 0.595207i | 0.113679 | − | 0.993518i | \(-0.463737\pi\) |
0.917251 | + | 0.398310i | \(0.130403\pi\) | |||||||
\(278\) | 3.45412 | + | 1.99424i | 0.207164 | + | 0.119606i | ||||
\(279\) | 34.8771 | + | 29.2654i | 2.08804 | + | 1.75207i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.8856 | − | 7.23776i | 1.18627 | − | 0.431769i | 0.327860 | − | 0.944726i | \(-0.393672\pi\) |
0.858414 | + | 0.512958i | \(0.171450\pi\) | |||||||
\(282\) | −13.9355 | − | 16.6076i | −0.829845 | − | 0.988971i | ||||
\(283\) | 18.3665 | − | 3.23851i | 1.09178 | − | 0.192510i | 0.401359 | − | 0.915921i | \(-0.368538\pi\) |
0.690418 | + | 0.723411i | \(0.257427\pi\) | |||||||
\(284\) | 1.92698 | 0.114345 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.2273 | −0.604752 | ||||||||
\(287\) | −6.85023 | + | 1.20788i | −0.404356 | + | 0.0712989i | ||||
\(288\) | −5.62944 | − | 6.70890i | −0.331718 | − | 0.395326i | ||||
\(289\) | 17.7279 | − | 6.45241i | 1.04282 | − | 0.379554i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.492676 | − | 0.413404i | −0.0288812 | − | 0.0242342i | ||||
\(292\) | −4.34052 | − | 2.50600i | −0.254010 | − | 0.146653i | ||||
\(293\) | −25.7475 | + | 14.8653i | −1.50419 | + | 0.868442i | −0.504197 | + | 0.863589i | \(0.668212\pi\) |
−0.999988 | + | 0.00485332i | \(0.998455\pi\) | |||||||
\(294\) | −2.09254 | + | 11.8674i | −0.122040 | + | 0.692121i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.67615 | + | 2.90318i | 0.0974244 | + | 0.168744i | ||||
\(297\) | −61.6412 | − | 35.5886i | −3.57678 | − | 2.06506i | ||||
\(298\) | 3.62054 | − | 4.31479i | 0.209732 | − | 0.249949i | ||||
\(299\) | −13.5630 | − | 4.93654i | −0.784370 | − | 0.285487i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.960753 | − | 0.806167i | 0.0553769 | − | 0.0464667i | ||||
\(302\) | 1.21967 | − | 0.215061i | 0.0701841 | − | 0.0123753i | ||||
\(303\) | − | 6.72182i | − | 0.386159i | ||||||
\(304\) | −3.68089 | + | 2.33475i | −0.211113 | + | 0.133907i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −9.10766 | − | 51.6521i | −0.520650 | − | 2.95275i | ||||
\(307\) | 3.31770 | + | 3.95389i | 0.189351 | + | 0.225660i | 0.852365 | − | 0.522947i | \(-0.175167\pi\) |
−0.663014 | + | 0.748607i | \(0.730723\pi\) | |||||||
\(308\) | 2.30203 | + | 6.32479i | 0.131171 | + | 0.360388i | ||||
\(309\) | 56.4010 | + | 20.5283i | 3.20854 | + | 1.16781i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 13.0187 | − | 22.5490i | 0.738223 | − | 1.27864i | −0.215072 | − | 0.976598i | \(-0.568999\pi\) |
0.953295 | − | 0.302041i | \(-0.0976680\pi\) | |||||||
\(312\) | −8.42440 | + | 4.86383i | −0.476938 | + | 0.275360i | ||||
\(313\) | −0.272916 | − | 0.0481224i | −0.0154261 | − | 0.00272004i | 0.165930 | − | 0.986138i | \(-0.446937\pi\) |
−0.181356 | + | 0.983418i | \(0.558049\pi\) | |||||||
\(314\) | −3.73471 | + | 21.1806i | −0.210762 | + | 1.19529i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.300593 | − | 0.520642i | 0.0169097 | − | 0.0292884i | ||||
\(317\) | 16.0233 | − | 19.0958i | 0.899958 | − | 1.07253i | −0.0970537 | − | 0.995279i | \(-0.530942\pi\) |
0.997012 | − | 0.0772492i | \(-0.0246137\pi\) | |||||||
\(318\) | −3.00418 | + | 8.25391i | −0.168466 | + | 0.462856i | ||||
\(319\) | −3.99232 | + | 1.45309i | −0.223527 | + | 0.0813572i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.30548 | + | 35.7602i | 0.351938 | + | 1.99594i | ||||
\(322\) | 9.49883i | 0.529349i | ||||||||
\(323\) | −26.0819 | + | 1.08702i | −1.45123 | + | 0.0604835i | ||||
\(324\) | −41.4264 | −2.30147 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −13.8049 | + | 11.5837i | −0.764582 | + | 0.641561i | ||||
\(327\) | −16.2727 | − | 44.7089i | −0.899882 | − | 2.47241i | ||||
\(328\) | 1.27427 | − | 3.50103i | 0.0703598 | − | 0.193312i | ||||
\(329\) | 9.04250 | + | 7.58755i | 0.498529 | + | 0.418315i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.34847 | + | 9.26381i | 0.293978 | + | 0.509185i | 0.974747 | − | 0.223313i | \(-0.0716873\pi\) |
−0.680768 | + | 0.732499i | \(0.738354\pi\) | |||||||
\(332\) | 1.87391 | + | 0.330420i | 0.102844 | + | 0.0181342i | ||||
\(333\) | 28.9130 | + | 5.09814i | 1.58442 | + | 0.279376i | ||||
\(334\) | 5.45442 | + | 9.44734i | 0.298453 | + | 0.516935i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 4.90413 | + | 4.11506i | 0.267542 | + | 0.224495i | ||||
\(337\) | 1.55890 | − | 4.28303i | 0.0849184 | − | 0.233312i | −0.889964 | − | 0.456030i | \(-0.849271\pi\) |
0.974883 | + | 0.222719i | \(0.0714931\pi\) | |||||||
\(338\) | −1.69368 | − | 4.65334i | −0.0921238 | − | 0.253108i | ||||
\(339\) | 41.8591 | − | 35.1239i | 2.27347 | − | 1.90767i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 18.7415 | 1.01491 | ||||||||
\(342\) | −5.05771 | + | 37.8381i | −0.273490 | + | 2.04605i | ||||
\(343\) | − | 19.6302i | − | 1.05993i | ||||||
\(344\) | 0.116650 | + | 0.661553i | 0.00628933 | + | 0.0356686i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.137103 | − | 0.0499015i | 0.00737072 | − | 0.00268272i | ||||
\(347\) | −7.14578 | + | 19.6329i | −0.383606 | + | 1.05395i | 0.586221 | + | 0.810151i | \(0.300615\pi\) |
−0.969826 | + | 0.243796i | \(0.921607\pi\) | |||||||
\(348\) | −2.59750 | + | 3.09558i | −0.139240 | + | 0.165940i | ||||
\(349\) | −5.64218 | + | 9.77255i | −0.302019 | + | 0.523112i | −0.976593 | − | 0.215095i | \(-0.930994\pi\) |
0.674574 | + | 0.738207i | \(0.264327\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.72611 | + | 55.1595i | −0.519141 | + | 2.94420i | ||||
\(352\) | −3.55032 | − | 0.626017i | −0.189233 | − | 0.0333668i | ||||
\(353\) | −7.11512 | + | 4.10792i | −0.378700 | + | 0.218642i | −0.677252 | − | 0.735751i | \(-0.736829\pi\) |
0.298553 | + | 0.954393i | \(0.403496\pi\) | |||||||
\(354\) | 8.17511 | − | 14.1597i | 0.434502 | − | 0.752580i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −0.926460 | − | 0.337204i | −0.0491023 | − | 0.0178718i | ||||
\(357\) | 13.1129 | + | 36.0274i | 0.694009 | + | 1.90677i | ||||
\(358\) | −3.66356 | − | 4.36606i | −0.193625 | − | 0.230753i | ||||
\(359\) | 1.86656 | + | 10.5858i | 0.0985131 | + | 0.558696i | 0.993614 | + | 0.112832i | \(0.0359922\pi\) |
−0.895101 | + | 0.445864i | \(0.852897\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.3330 | + | 4.99020i | 0.964893 | + | 0.262642i | ||||
\(362\) | − | 18.5013i | − | 0.972405i | ||||||
\(363\) | −6.74248 | + | 1.18888i | −0.353889 | + | 0.0624001i | ||||
\(364\) | 4.05735 | − | 3.40452i | 0.212663 | − | 0.178446i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 26.5391 | + | 9.65944i | 1.38722 | + | 0.504907i | ||||
\(367\) | −9.60825 | + | 11.4507i | −0.501547 | + | 0.597720i | −0.956115 | − | 0.292992i | \(-0.905349\pi\) |
0.454568 | + | 0.890712i | \(0.349794\pi\) | |||||||
\(368\) | −4.40612 | − | 2.54388i | −0.229685 | − | 0.132609i | ||||
\(369\) | −16.3146 | − | 28.2578i | −0.849306 | − | 1.47104i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.830471 | − | 4.70983i | 0.0431159 | − | 0.244522i | ||||
\(372\) | 15.4377 | − | 8.91299i | 0.800410 | − | 0.462117i | ||||
\(373\) | −7.55370 | − | 4.36113i | −0.391116 | − | 0.225811i | 0.291528 | − | 0.956562i | \(-0.405836\pi\) |
−0.682644 | + | 0.730752i | \(0.739170\pi\) | |||||||
\(374\) | −16.5390 | − | 13.8779i | −0.855211 | − | 0.717607i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.94122 | + | 2.16243i | −0.306395 | + | 0.111519i | ||||
\(377\) | 2.14900 | + | 2.56107i | 0.110679 | + | 0.131902i | ||||
\(378\) | 36.3011 | − | 6.40087i | 1.86713 | − | 0.329225i | ||||
\(379\) | −15.9169 | −0.817597 | −0.408799 | − | 0.912625i | \(-0.634052\pi\) | ||||
−0.408799 | + | 0.912625i | \(0.634052\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −57.6548 | −2.95375 | ||||||||
\(382\) | −18.5952 | + | 3.27883i | −0.951412 | + | 0.167760i | ||||
\(383\) | −1.12094 | − | 1.33589i | −0.0572776 | − | 0.0682607i | 0.736645 | − | 0.676280i | \(-0.236409\pi\) |
−0.793923 | + | 0.608019i | \(0.791964\pi\) | |||||||
\(384\) | −3.22218 | + | 1.17278i | −0.164431 | + | 0.0598481i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.74110 | − | 3.13916i | −0.190417 | − | 0.159779i | ||||
\(387\) | 5.09497 | + | 2.94158i | 0.258992 | + | 0.149529i | ||||
\(388\) | −0.162433 | + | 0.0937807i | −0.00824628 | + | 0.00476099i | ||||
\(389\) | −5.63929 | + | 31.9820i | −0.285924 | + | 1.62155i | 0.416044 | + | 0.909344i | \(0.363416\pi\) |
−0.701968 | + | 0.712209i | \(0.747695\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −15.2347 | − | 26.3873i | −0.770454 | − | 1.33447i | ||||
\(392\) | 3.04348 | + | 1.75716i | 0.153719 | + | 0.0887498i | ||||
\(393\) | −14.3570 | + | 17.1100i | −0.724214 | + | 0.863085i | ||||
\(394\) | 3.30534 | + | 1.20305i | 0.166521 | + | 0.0606086i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −24.1862 | + | 20.2946i | −1.21540 | + | 1.01984i | ||||
\(397\) | −4.04292 | + | 0.712877i | −0.202909 | + | 0.0357783i | −0.274179 | − | 0.961679i | \(-0.588406\pi\) |
0.0712700 | + | 0.997457i | \(0.477295\pi\) | |||||||
\(398\) | 0.840516i | 0.0421313i | ||||||||
\(399\) | −1.16200 | − | 27.8810i | −0.0581730 | − | 1.39580i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.41766 | + | 30.7251i | 0.270545 | + | 1.53434i | 0.752766 | + | 0.658288i | \(0.228719\pi\) |
−0.482221 | + | 0.876049i | \(0.660170\pi\) | |||||||
\(402\) | 17.5531 | + | 20.9190i | 0.875471 | + | 1.04335i | ||||
\(403\) | −5.04412 | − | 13.8586i | −0.251266 | − | 0.690347i | ||||
\(404\) | −1.84208 | − | 0.670463i | −0.0916470 | − | 0.0333568i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.10011 | − | 1.90545i | 0.0545978 | − | 0.0945661i | ||||
\(407\) | 10.4662 | − | 6.04268i | 0.518792 | − | 0.299524i | ||||
\(408\) | −20.2234 | − | 3.56593i | −1.00121 | − | 0.176540i | ||||
\(409\) | −1.52348 | + | 8.64010i | −0.0753313 | + | 0.427225i | 0.923696 | + | 0.383127i | \(0.125153\pi\) |
−0.999027 | + | 0.0440987i | \(0.985958\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −34.7117 | + | 60.1225i | −1.71220 | + | 2.96562i | ||||
\(412\) | 11.2513 | − | 13.4088i | 0.554314 | − | 0.660605i | ||||
\(413\) | −3.04478 | + | 8.36545i | −0.149824 | + | 0.411637i | ||||
\(414\) | −41.8706 | + | 15.2397i | −2.05783 | + | 0.748988i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.492623 | + | 2.79380i | 0.0241528 | + | 0.136978i | ||||
\(417\) | − | 13.6764i | − | 0.669734i | ||||||
\(418\) | 8.41698 | + | 13.2699i | 0.411688 | + | 0.649053i | ||||
\(419\) | 6.13252 | 0.299593 | 0.149797 | − | 0.988717i | \(-0.452138\pi\) | ||||
0.149797 | + | 0.988717i | \(0.452138\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.93864 | + | 2.46581i | −0.143220 | + | 0.120176i | −0.711583 | − | 0.702602i | \(-0.752021\pi\) |
0.568363 | + | 0.822778i | \(0.307577\pi\) | |||||||
\(422\) | 9.37460 | + | 25.7565i | 0.456348 | + | 1.25381i | ||||
\(423\) | −18.9382 | + | 52.0324i | −0.920808 | + | 2.52990i | ||||
\(424\) | 1.96229 | + | 1.64656i | 0.0952974 | + | 0.0799640i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −3.30377 | − | 5.72230i | −0.160068 | − | 0.277247i | ||||
\(427\) | −15.1437 | − | 2.67024i | −0.732855 | − | 0.129222i | ||||
\(428\) | 10.4288 | + | 1.83888i | 0.504096 | + | 0.0888858i | ||||
\(429\) | 17.5345 | + | 30.3707i | 0.846576 | + | 1.46631i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −19.5996 | − | 16.4460i | −0.944081 | − | 0.792178i | 0.0342100 | − | 0.999415i | \(-0.489108\pi\) |
−0.978291 | + | 0.207237i | \(0.933553\pi\) | |||||||
\(432\) | −6.75268 | + | 18.5528i | −0.324888 | + | 0.892624i | ||||
\(433\) | −9.73513 | − | 26.7471i | −0.467841 | − | 1.28538i | −0.919464 | − | 0.393173i | \(-0.871377\pi\) |
0.451624 | − | 0.892208i | \(-0.350845\pi\) | |||||||
\(434\) | −7.43511 | + | 6.23880i | −0.356897 | + | 0.299472i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.8754 | −0.664509 | ||||||||
\(437\) | 4.75710 | + | 21.6608i | 0.227563 | + | 1.03618i | ||||
\(438\) | 17.1860i | 0.821180i | ||||||||
\(439\) | −6.61684 | − | 37.5260i | −0.315805 | − | 1.79102i | −0.567671 | − | 0.823256i | \(-0.692155\pi\) |
0.251866 | − | 0.967762i | \(-0.418956\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 28.9217 | − | 10.5266i | 1.37722 | − | 0.501268i | ||||
\(442\) | −5.81079 | + | 15.9650i | −0.276391 | + | 0.759379i | ||||
\(443\) | −14.6417 | + | 17.4493i | −0.695649 | + | 0.829042i | −0.992027 | − | 0.126029i | \(-0.959777\pi\) |
0.296377 | + | 0.955071i | \(0.404221\pi\) | |||||||
\(444\) | 5.74748 | − | 9.95493i | 0.272763 | − | 0.472440i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 1.98569 | − | 11.2614i | 0.0940253 | − | 0.533244i | ||||
\(447\) | −19.0205 | − | 3.35382i | −0.899637 | − | 0.158630i | ||||
\(448\) | 1.61687 | − | 0.933500i | 0.0763899 | − | 0.0441037i | ||||
\(449\) | −15.5911 | + | 27.0045i | −0.735787 | + | 1.27442i | 0.218590 | + | 0.975817i | \(0.429854\pi\) |
−0.954377 | + | 0.298604i | \(0.903479\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.6215 | − | 4.59385i | −0.594324 | − | 0.216316i | ||||
\(452\) | −5.45034 | − | 14.9747i | −0.256362 | − | 0.704350i | ||||
\(453\) | −2.72975 | − | 3.25318i | −0.128255 | − | 0.152848i | ||||
\(454\) | 2.71158 | + | 15.3781i | 0.127261 | + | 0.721731i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 13.2441 | + | 6.92778i | 0.620210 | + | 0.324423i | ||||
\(457\) | 13.0810i | 0.611902i | 0.952047 | + | 0.305951i | \(0.0989744\pi\) | ||||
−0.952047 | + | 0.305951i | \(0.901026\pi\) | |||||||
\(458\) | 5.41647 | − | 0.955070i | 0.253095 | − | 0.0446275i | ||||
\(459\) | −90.5769 | + | 76.0030i | −4.22777 | + | 3.54752i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.1219 | − | 6.23187i | −0.797448 | − | 0.290247i | −0.0890194 | − | 0.996030i | \(-0.528373\pi\) |
−0.708429 | + | 0.705783i | \(0.750596\pi\) | |||||||
\(462\) | 14.8351 | − | 17.6798i | 0.690193 | − | 0.822540i | ||||
\(463\) | 19.9255 | + | 11.5040i | 0.926017 | + | 0.534636i | 0.885550 | − | 0.464545i | \(-0.153782\pi\) |
0.0404670 | + | 0.999181i | \(0.487115\pi\) | |||||||
\(464\) | 0.589242 | + | 1.02060i | 0.0273549 | + | 0.0473800i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.96719 | − | 11.1565i | 0.0911284 | − | 0.516815i | ||||
\(467\) | 21.6966 | − | 12.5265i | 1.00400 | − | 0.579658i | 0.0945691 | − | 0.995518i | \(-0.469853\pi\) |
0.909429 | + | 0.415860i | \(0.136519\pi\) | |||||||
\(468\) | 21.5166 | + | 12.4226i | 0.994603 | + | 0.574234i | ||||
\(469\) | −11.3899 | − | 9.55729i | −0.525938 | − | 0.441315i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 69.3005 | − | 25.2233i | 3.19320 | − | 1.16223i | ||||
\(472\) | −3.06497 | − | 3.65269i | −0.141077 | − | 0.168129i | ||||
\(473\) | 2.38496 | − | 0.420532i | 0.109660 | − | 0.0193361i | ||||
\(474\) | −2.06145 | −0.0946854 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 11.1811 | 0.512483 | ||||||||
\(477\) | 22.0932 | − | 3.89563i | 1.01158 | − | 0.178369i | ||||
\(478\) | −0.953473 | − | 1.13631i | −0.0436108 | − | 0.0519734i | ||||
\(479\) | 20.3567 | − | 7.40924i | 0.930122 | − | 0.338537i | 0.167864 | − | 0.985810i | \(-0.446313\pi\) |
0.762258 | + | 0.647274i | \(0.224091\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.28521 | − | 6.11302i | −0.332177 | − | 0.278730i | ||||
\(482\) | 7.29118 | + | 4.20957i | 0.332104 | + | 0.191741i | ||||
\(483\) | 28.2075 | − | 16.2856i | 1.28349 | − | 0.741021i | ||||
\(484\) | −0.346717 | + | 1.96633i | −0.0157598 | + | 0.0893785i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 41.4097 | + | 71.7238i | 1.87838 | + | 3.25346i | ||||
\(487\) | −2.87982 | − | 1.66266i | −0.130497 | − | 0.0753425i | 0.433330 | − | 0.901235i | \(-0.357338\pi\) |
−0.563827 | + | 0.825893i | \(0.690672\pi\) | |||||||
\(488\) | 5.29424 | − | 6.30943i | 0.239659 | − | 0.285614i | ||||
\(489\) | 58.0669 | + | 21.1346i | 2.62588 | + | 0.955741i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.86014 | + | 3.23904i | −0.174206 | + | 0.146176i | −0.725722 | − | 0.687988i | \(-0.758494\pi\) |
0.551516 | + | 0.834164i | \(0.314050\pi\) | |||||||
\(492\) | −12.5813 | + | 2.21842i | −0.567208 | + | 0.100014i | ||||
\(493\) | 7.05769i | 0.317862i | ||||||||
\(494\) | 7.54722 | − | 9.79551i | 0.339565 | − | 0.440721i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.902733 | − | 5.11966i | −0.0405339 | − | 0.229879i | ||||
\(497\) | 2.31253 | + | 2.75597i | 0.103731 | + | 0.123622i | ||||
\(498\) | −2.23158 | − | 6.13121i | −0.0999995 | − | 0.274746i | ||||
\(499\) | −9.62114 | − | 3.50181i | −0.430701 | − | 0.156762i | 0.117567 | − | 0.993065i | \(-0.462491\pi\) |
−0.548268 | + | 0.836302i | \(0.684713\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 18.7031 | − | 32.3947i | 0.835592 | − | 1.44729i | ||||
\(502\) | 9.60490 | − | 5.54539i | 0.428688 | − | 0.247503i | ||||
\(503\) | 6.60132 | + | 1.16399i | 0.294338 | + | 0.0518998i | 0.318867 | − | 0.947799i | \(-0.396698\pi\) |
−0.0245291 | + | 0.999699i | \(0.507809\pi\) | |||||||
\(504\) | 2.83930 | − | 16.1025i | 0.126473 | − | 0.717262i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.17090 | + | 15.8845i | −0.407696 | + | 0.706151i | ||||
\(507\) | −10.9147 | + | 13.0076i | −0.484737 | + | 0.577687i | ||||
\(508\) | −5.75073 | + | 15.8000i | −0.255148 | + | 0.701012i | ||||
\(509\) | 22.6049 | − | 8.22751i | 1.00195 | − | 0.364678i | 0.211611 | − | 0.977354i | \(-0.432129\pi\) |
0.790334 | + | 0.612676i | \(0.209907\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.62490 | − | 9.21525i | −0.0718812 | − | 0.407659i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 79.5741 | − | 32.7762i | 3.51328 | − | 1.44711i | ||||
\(514\) | 11.4846 | 0.506564 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.76454 | − | 1.48062i | 0.0776795 | − | 0.0651808i | ||||
\(517\) | 7.79575 | + | 21.4186i | 0.342857 | + | 0.941991i | ||||
\(518\) | −2.14062 | + | 5.88130i | −0.0940534 | + | 0.258410i | ||||
\(519\) | −0.383248 | − | 0.321583i | −0.0168227 | − | 0.0141159i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −13.2375 | − | 22.9280i | −0.579945 | − | 1.00449i | −0.995485 | − | 0.0949192i | \(-0.969741\pi\) |
0.415540 | − | 0.909575i | \(-0.363593\pi\) | |||||||
\(522\) | 10.1642 | + | 1.79222i | 0.444874 | + | 0.0784434i | ||||
\(523\) | −15.3861 | − | 2.71298i | −0.672787 | − | 0.118631i | −0.173190 | − | 0.984888i | \(-0.555407\pi\) |
−0.499597 | + | 0.866258i | \(0.666519\pi\) | |||||||
\(524\) | 3.25688 | + | 5.64108i | 0.142278 | + | 0.246432i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −24.3129 | − | 20.4010i | −1.06009 | − | 0.889524i | ||||
\(527\) | 10.6483 | − | 29.2559i | 0.463847 | − | 1.27441i | ||||
\(528\) | 4.22797 | + | 11.6162i | 0.183999 | + | 0.505532i | ||||
\(529\) | −2.21022 | + | 1.85459i | −0.0960963 | + | 0.0806344i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −41.7597 | −1.81222 | ||||||||
\(532\) | −7.75655 | − | 2.46253i | −0.336289 | − | 0.106764i | ||||
\(533\) | 10.5695i | 0.457816i | ||||||||
\(534\) | 0.587050 | + | 3.32933i | 0.0254041 | + | 0.144074i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 7.48357 | − | 2.72380i | 0.323241 | − | 0.117650i | ||||
\(537\) | −6.68423 | + | 18.3648i | −0.288446 | + | 0.792498i | ||||
\(538\) | −15.0142 | + | 17.8932i | −0.647307 | + | 0.771431i | ||||
\(539\) | 6.33470 | − | 10.9720i | 0.272855 | − | 0.472599i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.57421 | + | 14.5991i | −0.110674 | + | 0.627664i | 0.878127 | + | 0.478427i | \(0.158793\pi\) |
−0.988801 | + | 0.149237i | \(0.952318\pi\) | |||||||
\(542\) | −21.7525 | − | 3.83556i | −0.934351 | − | 0.164751i | ||||
\(543\) | −54.9409 | + | 31.7202i | −2.35774 | + | 1.36124i | ||||
\(544\) | −2.99439 | + | 5.18644i | −0.128384 | + | 0.222367i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −17.0663 | − | 6.21161i | −0.730369 | − | 0.265833i | ||||
\(547\) | −6.62897 | − | 18.2130i | −0.283434 | − | 0.778730i | −0.996947 | − | 0.0780869i | \(-0.975119\pi\) |
0.713512 | − | 0.700643i | \(-0.247103\pi\) | |||||||
\(548\) | 13.0140 | + | 15.5095i | 0.555929 | + | 0.662531i | ||||
\(549\) | −12.5258 | − | 71.0371i | −0.534586 | − | 3.03179i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.55439 | − | 4.89607i | 0.0662193 | − | 0.208580i | ||||
\(552\) | 17.4458i | 0.742541i | ||||||||
\(553\) | 1.10536 | − | 0.194905i | 0.0470047 | − | 0.00828820i | ||||
\(554\) | −15.1772 | + | 12.7352i | −0.644818 | + | 0.541067i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.74794 | − | 1.36414i | −0.158948 | − | 0.0578523i | ||||
\(557\) | −24.5056 | + | 29.2047i | −1.03834 | + | 1.23744i | −0.0674946 | + | 0.997720i | \(0.521501\pi\) |
−0.970842 | + | 0.239721i | \(0.922944\pi\) | |||||||
\(558\) | −39.4292 | − | 22.7644i | −1.66917 | − | 0.963695i | ||||
\(559\) | −0.952858 | − | 1.65040i | −0.0403016 | − | 0.0698044i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.8555 | + | 72.9072i | −0.542760 | + | 3.07814i | ||||
\(562\) | −18.3267 | + | 10.5809i | −0.773063 | + | 0.446328i | ||||
\(563\) | −10.6774 | − | 6.16458i | −0.449998 | − | 0.259806i | 0.257832 | − | 0.966190i | \(-0.416992\pi\) |
−0.707829 | + | 0.706384i | \(0.750325\pi\) | |||||||
\(564\) | 16.6076 | + | 13.9355i | 0.699308 | + | 0.586789i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −17.5251 | + | 6.37863i | −0.736636 | + | 0.268114i | ||||
\(567\) | −49.7152 | − | 59.2482i | −2.08784 | − | 2.48819i | ||||
\(568\) | −1.89770 | + | 0.334616i | −0.0796258 | + | 0.0140402i | ||||
\(569\) | 3.18778 | 0.133639 | 0.0668194 | − | 0.997765i | \(-0.478715\pi\) | ||||
0.0668194 | + | 0.997765i | \(0.478715\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.67370 | 0.153740 | 0.0768698 | − | 0.997041i | \(-0.475507\pi\) | ||||
0.0768698 | + | 0.997041i | \(0.475507\pi\) | |||||||
\(572\) | 10.0719 | − | 1.77595i | 0.421128 | − | 0.0742562i | ||||
\(573\) | 41.6179 | + | 49.5983i | 1.73861 | + | 2.07200i | ||||
\(574\) | 6.53641 | − | 2.37906i | 0.272825 | − | 0.0993001i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 6.70890 | + | 5.62944i | 0.279538 | + | 0.234560i | ||||
\(577\) | −1.86286 | − | 1.07552i | −0.0775519 | − | 0.0447746i | 0.460723 | − | 0.887544i | \(-0.347590\pi\) |
−0.538274 | + | 0.842770i | \(0.680924\pi\) | |||||||
\(578\) | −16.3381 | + | 9.43280i | −0.679575 | + | 0.392353i | ||||
\(579\) | −2.90790 | + | 16.4915i | −0.120848 | + | 0.685364i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.77628 | + | 3.07660i | 0.0736924 | + | 0.127639i | ||||
\(582\) | 0.556978 | + | 0.321571i | 0.0230875 | + | 0.0133296i | ||||
\(583\) | 5.93599 | − | 7.07424i | 0.245844 | − | 0.292985i | ||||
\(584\) | 4.70974 | + | 1.71421i | 0.194891 | + | 0.0709344i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 22.7750 | − | 19.1105i | 0.940827 | − | 0.789447i | ||||
\(587\) | −28.0908 | + | 4.95317i | −1.15943 | + | 0.204439i | −0.720090 | − | 0.693880i | \(-0.755900\pi\) |
−0.439342 | + | 0.898320i | \(0.644788\pi\) | |||||||
\(588\) | − | 12.0505i | − | 0.496953i | ||||||
\(589\) | −13.8303 | + | 17.9503i | −0.569868 | + | 0.739629i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.09442 | − | 11.8781i | −0.0861531 | − | 0.488599i | ||||
\(592\) | −2.15482 | − | 2.56801i | −0.0885626 | − | 0.105545i | ||||
\(593\) | −3.45151 | − | 9.48294i | −0.141737 | − | 0.389418i | 0.848431 | − | 0.529306i | \(-0.177548\pi\) |
−0.990167 | + | 0.139889i | \(0.955326\pi\) | |||||||
\(594\) | 66.8846 | + | 24.3440i | 2.74431 | + | 0.998847i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.81628 | + | 4.87794i | −0.115359 | + | 0.199808i | ||||
\(597\) | 2.49598 | − | 1.44105i | 0.102154 | − | 0.0589784i | ||||
\(598\) | 14.2142 | + | 2.50635i | 0.581261 | + | 0.102492i | ||||
\(599\) | −0.479831 | + | 2.72126i | −0.0196054 | + | 0.111188i | −0.993040 | − | 0.117778i | \(-0.962423\pi\) |
0.973435 | + | 0.228965i | \(0.0735341\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.51074 | + | 14.7410i | −0.347160 | + | 0.601299i | −0.985744 | − | 0.168253i | \(-0.946187\pi\) |
0.638583 | + | 0.769553i | \(0.279521\pi\) | |||||||
\(602\) | −0.806167 | + | 0.960753i | −0.0328569 | + | 0.0391574i | ||||
\(603\) | 23.8546 | − | 65.5400i | 0.971435 | − | 2.66900i | ||||
\(604\) | −1.16380 | + | 0.423587i | −0.0473542 | + | 0.0172355i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.16723 | + | 6.61970i | 0.0474156 | + | 0.268907i | ||||
\(607\) | 45.0807i | 1.82977i | 0.403717 | + | 0.914884i | \(0.367718\pi\) | ||||
−0.403717 | + | 0.914884i | \(0.632282\pi\) | |||||||
\(608\) | 3.21954 | − | 2.93846i | 0.130570 | − | 0.119170i | ||||
\(609\) | −7.54452 | −0.305720 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 13.7401 | − | 11.5293i | 0.555863 | − | 0.466425i | ||||
\(612\) | 17.9386 | + | 49.2859i | 0.725124 | + | 1.99226i | ||||
\(613\) | −0.420147 | + | 1.15435i | −0.0169696 | + | 0.0466236i | −0.947888 | − | 0.318603i | \(-0.896786\pi\) |
0.930919 | + | 0.365227i | \(0.119009\pi\) | |||||||
\(614\) | −3.95389 | − | 3.31770i | −0.159566 | − | 0.133892i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.36535 | − | 5.82896i | −0.135594 | − | 0.234855i | ||||
\(617\) | −23.3588 | − | 4.11879i | −0.940392 | − | 0.165816i | −0.317618 | − | 0.948219i | \(-0.602883\pi\) |
−0.622773 | + | 0.782402i | \(0.713994\pi\) | |||||||
\(618\) | −59.1088 | − | 10.4225i | −2.37771 | − | 0.419254i | ||||
\(619\) | 6.32545 | + | 10.9560i | 0.254241 | + | 0.440359i | 0.964689 | − | 0.263391i | \(-0.0848410\pi\) |
−0.710448 | + | 0.703750i | \(0.751508\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 76.9493 | + | 64.5681i | 3.08787 | + | 2.59103i | ||||
\(622\) | −8.90531 | + | 24.4672i | −0.357071 | + | 0.981043i | ||||
\(623\) | −0.629559 | − | 1.72970i | −0.0252228 | − | 0.0692990i | ||||
\(624\) | 7.45182 | − | 6.25282i | 0.298312 | − | 0.250313i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0.277126 | 0.0110762 | ||||||||
\(627\) | 24.9753 | − | 47.7460i | 0.997416 | − | 1.90679i | ||||
\(628\) | − | 21.5073i | − | 0.858235i | ||||||
\(629\) | −3.48620 | − | 19.7712i | −0.139004 | − | 0.788331i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.9350 | + | 13.0793i | −1.43055 | + | 0.520677i | −0.937089 | − | 0.349091i | \(-0.886490\pi\) |
−0.493460 | + | 0.869769i | \(0.664268\pi\) | |||||||
\(632\) | −0.205617 | + | 0.564929i | −0.00817902 | + | 0.0224717i | ||||
\(633\) | 60.4133 | − | 71.9978i | 2.40121 | − | 2.86165i | ||||
\(634\) | −12.4639 | + | 21.5881i | −0.495005 | + | 0.857374i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.52526 | − | 8.65019i | 0.0604805 | − | 0.343002i | ||||
\(637\) | −9.81830 | − | 1.73123i | −0.389015 | − | 0.0685939i | ||||
\(638\) | 3.67934 | − | 2.12427i | 0.145667 | − | 0.0841006i | ||||
\(639\) | −8.43809 | + | 14.6152i | −0.333806 | + | 0.578168i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.64318 | − | 3.50983i | −0.380883 | − | 0.138630i | 0.144481 | − | 0.989508i | \(-0.453849\pi\) |
−0.525364 | + | 0.850878i | \(0.676071\pi\) | |||||||
\(642\) | −12.4194 | − | 34.1219i | −0.490154 | − | 1.34669i | ||||
\(643\) | −9.36407 | − | 11.1597i | −0.369283 | − | 0.440094i | 0.549118 | − | 0.835745i | \(-0.314964\pi\) |
−0.918401 | + | 0.395650i | \(0.870519\pi\) | |||||||
\(644\) | −1.64946 | − | 9.35452i | −0.0649976 | − | 0.368620i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 25.4969 | − | 5.59958i | 1.00316 | − | 0.220313i | ||||
\(647\) | − | 4.44223i | − | 0.174642i | −0.996180 | − | 0.0873211i | \(-0.972169\pi\) | ||
0.996180 | − | 0.0873211i | \(-0.0278306\pi\) | |||||||
\(648\) | 40.7970 | − | 7.19362i | 1.60266 | − | 0.282592i | ||||
\(649\) | −13.1683 | + | 11.0495i | −0.516900 | + | 0.433731i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 31.2740 | + | 11.3828i | 1.22572 | + | 0.446127i | ||||
\(652\) | 11.5837 | − | 13.8049i | 0.453652 | − | 0.540641i | ||||
\(653\) | −16.8427 | − | 9.72417i | −0.659108 | − | 0.380536i | 0.132829 | − | 0.991139i | \(-0.457594\pi\) |
−0.791937 | + | 0.610603i | \(0.790927\pi\) | |||||||
\(654\) | 23.7891 | + | 41.2039i | 0.930227 | + | 1.61120i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.646964 | + | 3.66911i | −0.0252597 | + | 0.143255i | ||||
\(657\) | 38.0137 | − | 21.9472i | 1.48305 | − | 0.856242i | ||||
\(658\) | −10.2227 | − | 5.90207i | −0.398522 | − | 0.230087i | ||||
\(659\) | −9.54535 | − | 8.00950i | −0.371834 | − | 0.312006i | 0.437652 | − | 0.899144i | \(-0.355810\pi\) |
−0.809487 | + | 0.587138i | \(0.800254\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.75350 | + | 2.82204i | −0.301576 | + | 0.109765i | −0.488376 | − | 0.872633i | \(-0.662411\pi\) |
0.186800 | + | 0.982398i | \(0.440188\pi\) | |||||||
\(662\) | −6.87585 | − | 8.19432i | −0.267238 | − | 0.318481i | ||||
\(663\) | 57.3719 | − | 10.1162i | 2.22814 | − | 0.392881i | ||||
\(664\) | −1.90282 | −0.0738436 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −29.3590 | −1.13764 | ||||||||
\(667\) | 5.90475 | − | 1.04117i | 0.228633 | − | 0.0403141i | ||||
\(668\) | −7.01207 | − | 8.35666i | −0.271305 | − | 0.323329i | ||||
\(669\) | −36.8461 | + | 13.4109i | −1.42455 | + | 0.518495i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −22.7461 | − | 19.0862i | −0.878102 | − | 0.736815i | ||||
\(672\) | −5.54420 | − | 3.20094i | −0.213872 | − | 0.123479i | ||||
\(673\) | −1.06793 | + | 0.616571i | −0.0411658 | + | 0.0237671i | −0.520442 | − | 0.853897i | \(-0.674233\pi\) |
0.479276 | + | 0.877664i | \(0.340899\pi\) | |||||||
\(674\) | −0.791472 | + | 4.48866i | −0.0304864 | + | 0.172897i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.47599 | + | 4.28854i | 0.0952303 | + | 0.164944i | ||||
\(677\) | −15.4608 | − | 8.92630i | −0.594207 | − | 0.343065i | 0.172552 | − | 0.985000i | \(-0.444799\pi\) |
−0.766759 | + | 0.641935i | \(0.778132\pi\) | |||||||
\(678\) | −35.1239 | + | 41.8591i | −1.34893 | + | 1.60759i | ||||
\(679\) | −0.329059 | − | 0.119768i | −0.0126281 | − | 0.00459626i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 41.0176 | − | 34.4178i | 1.57180 | − | 1.31889i | ||||
\(682\) | −18.4568 | + | 3.25443i | −0.706748 | + | 0.124619i | ||||
\(683\) | 27.7712i | 1.06264i | 0.847173 | + | 0.531318i | \(0.178303\pi\) | ||||
−0.847173 | + | 0.531318i | \(0.821697\pi\) | |||||||
\(684\) | −1.58963 | − | 38.1415i | −0.0607812 | − | 1.45838i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 3.40875 | + | 19.3320i | 0.130147 | + | 0.738099i | ||||
\(687\) | −12.1226 | − | 14.4472i | −0.462507 | − | 0.551194i | ||||
\(688\) | −0.229755 | − | 0.631247i | −0.00875933 | − | 0.0240661i | ||||
\(689\) | −6.82874 | − | 2.48546i | −0.260154 | − | 0.0946884i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.3398 | + | 36.9617i | −0.811805 | + | 1.40609i | 0.0997945 | + | 0.995008i | \(0.468181\pi\) |
−0.911600 | + | 0.411079i | \(0.865152\pi\) | |||||||
\(692\) | −0.126355 | + | 0.0729511i | −0.00480330 | + | 0.00277319i | ||||
\(693\) | −58.0509 | − | 10.2359i | −2.20517 | − | 0.388831i | ||||
\(694\) | 3.62801 | − | 20.5755i | 0.137717 | − | 0.781033i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.02049 | − | 3.49960i | 0.0765866 | − | 0.132652i | ||||
\(697\) | −14.3422 | + | 17.0924i | −0.543250 | + | 0.647420i | ||||
\(698\) | 3.85948 | − | 10.6038i | 0.146083 | − | 0.401361i | ||||
\(699\) | −36.5028 | + | 13.2859i | −1.38066 | + | 0.502520i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.91944 | − | 39.2421i | −0.261344 | − | 1.48215i | −0.779249 | − | 0.626715i | \(-0.784399\pi\) |
0.517905 | − | 0.855438i | \(-0.326712\pi\) | |||||||
\(702\) | − | 56.0104i | − | 2.11398i | ||||||
\(703\) | −1.93598 | + | 14.4835i | −0.0730168 | + | 0.546257i | ||||
\(704\) | 3.60509 | 0.135872 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.29370 | − | 5.28104i | 0.236866 | − | 0.198754i | ||||
\(707\) | −1.25175 | − | 3.43916i | −0.0470770 | − | 0.129343i | ||||
\(708\) | −5.59210 | + | 15.3642i | −0.210164 | + | 0.577421i | ||||
\(709\) | −36.8093 | − | 30.8866i | −1.38240 | − | 1.15997i | −0.968314 | − | 0.249734i | \(-0.919657\pi\) |
−0.414086 | − | 0.910238i | \(-0.635899\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.63255 | + | 4.55970i | 0.0987282 | + | 0.171002i | ||||
\(712\) | 0.970940 | + | 0.171203i | 0.0363875 | + | 0.00641610i | ||||
\(713\) | −26.0475 | − | 4.59288i | −0.975488 | − | 0.172005i | ||||
\(714\) | −19.1698 | − | 33.2030i | −0.717411 | − | 1.24259i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.36606 | + | 3.66356i | 0.163167 | + | 0.136914i | ||||
\(717\) | −1.73963 | + | 4.77959i | −0.0649676 | + | 0.178497i | ||||
\(718\) | −3.67640 | − | 10.1008i | −0.137202 | − | 0.376960i | ||||
\(719\) | 23.2680 | − | 19.5242i | 0.867749 | − | 0.728128i | −0.0958738 | − | 0.995393i | \(-0.530565\pi\) |
0.963623 | + | 0.267266i | \(0.0861201\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 32.6799 | 1.21706 | ||||||||
\(722\) | −18.9210 | − | 1.73090i | −0.704166 | − | 0.0644175i | ||||
\(723\) | − | 28.8690i | − | 1.07365i | ||||||
\(724\) | 3.21271 | + | 18.2202i | 0.119399 | + | 0.677148i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.43360 | − | 2.34164i | 0.238773 | − | 0.0869064i | ||||
\(727\) | 10.4545 | − | 28.7236i | 0.387737 | − | 1.06530i | −0.580280 | − | 0.814417i | \(-0.697057\pi\) |
0.968018 | − | 0.250883i | \(-0.0807208\pi\) | |||||||
\(728\) | −3.40452 | + | 4.05735i | −0.126180 | + | 0.150376i | ||||
\(729\) | 79.8532 | − | 138.310i | 2.95753 | − | 5.12259i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.698590 | − | 3.96190i | 0.0258383 | − | 0.146536i | ||||
\(732\) | −27.8132 | − | 4.90422i | −1.02801 | − | 0.181265i | ||||
\(733\) | −38.1050 | + | 21.9999i | −1.40744 | + | 0.812586i | −0.995141 | − | 0.0984629i | \(-0.968607\pi\) |
−0.412299 | + | 0.911049i | \(0.635274\pi\) | |||||||
\(734\) | 7.47389 | − | 12.9452i | 0.275866 | − | 0.477815i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.78092 | + | 1.74011i | 0.176227 | + | 0.0641415i | ||||
\(737\) | −9.81953 | − | 26.9789i | −0.361707 | − | 0.993782i | ||||
\(738\) | 20.9737 | + | 24.9955i | 0.772052 | + | 0.920096i | ||||
\(739\) | −5.08815 | − | 28.8563i | −0.187171 | − | 1.06150i | −0.923135 | − | 0.384476i | \(-0.874382\pi\) |
0.735964 | − | 0.677020i | \(-0.236729\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −42.0281 | − | 5.61779i | −1.54394 | − | 0.206375i | ||||
\(742\) | 4.78249i | 0.175571i | ||||||||
\(743\) | −12.9235 | + | 2.27875i | −0.474116 | + | 0.0835994i | −0.405600 | − | 0.914051i | \(-0.632937\pi\) |
−0.0685156 | + | 0.997650i | \(0.521826\pi\) | |||||||
\(744\) | −13.6555 | + | 11.4583i | −0.500635 | + | 0.420082i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 8.19625 | + | 2.98319i | 0.300086 | + | 0.109222i | ||||
\(747\) | −10.7118 | + | 12.7658i | −0.391924 | + | 0.467076i | ||||
\(748\) | 18.6976 | + | 10.7951i | 0.683651 | + | 0.394706i | ||||
\(749\) | 9.88549 | + | 17.1222i | 0.361208 | + | 0.625631i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.47466 | − | 19.7058i | 0.126792 | − | 0.719074i | −0.853435 | − | 0.521199i | \(-0.825485\pi\) |
0.980227 | − | 0.197875i | \(-0.0634040\pi\) | |||||||
\(752\) | 5.47546 | − | 3.16126i | 0.199670 | − | 0.115279i | ||||
\(753\) | −32.9349 | − | 19.0150i | −1.20022 | − | 0.692945i | ||||
\(754\) | −2.56107 | − | 2.14900i | −0.0932688 | − | 0.0782618i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −34.6381 | + | 12.6072i | −1.25978 | + | 0.458521i | ||||
\(757\) | 23.4542 | + | 27.9516i | 0.852458 | + | 1.01592i | 0.999641 | + | 0.0268104i | \(0.00853505\pi\) |
−0.147183 | + | 0.989109i | \(0.547021\pi\) | |||||||
\(758\) | 15.6751 | − | 2.76394i | 0.569345 | − | 0.100391i | ||||
\(759\) | 62.8935 | 2.28289 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.91470 | 0.141908 | 0.0709540 | − | 0.997480i | \(-0.477396\pi\) | ||||
0.0709540 | + | 0.997480i | \(0.477396\pi\) | |||||||
\(762\) | 56.7789 | − | 10.0117i | 2.05688 | − | 0.362684i | ||||
\(763\) | −16.6516 | − | 19.8446i | −0.602828 | − | 0.718422i | ||||
\(764\) | 17.7433 | − | 6.45804i | 0.641931 | − | 0.233644i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.33589 | + | 1.12094i | 0.0482676 | + | 0.0405013i | ||||
\(767\) | 11.7148 | + | 6.76354i | 0.422997 | + | 0.244217i | ||||
\(768\) | 2.96958 | − | 1.71449i | 0.107155 | − | 0.0618662i | ||||
\(769\) | 3.94857 | − | 22.3935i | 0.142389 | − | 0.807530i | −0.827037 | − | 0.562147i | \(-0.809975\pi\) |
0.969426 | − | 0.245382i | \(-0.0789135\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −19.6902 | − | 34.1044i | −0.709125 | − | 1.22824i | ||||
\(772\) | 4.22937 | + | 2.44183i | 0.152218 | + | 0.0878834i | ||||
\(773\) | −14.0531 | + | 16.7478i | −0.505454 | + | 0.602377i | −0.957078 | − | 0.289832i | \(-0.906401\pi\) |
0.451623 | + | 0.892209i | \(0.350845\pi\) | |||||||
\(774\) | −5.52837 | − | 2.01216i | −0.198713 | − | 0.0723256i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.143680 | − | 0.120562i | 0.00515782 | − | 0.00432793i | ||||
\(777\) | 21.1350 | − | 3.72668i | 0.758216 | − | 0.133694i | ||||
\(778\) | − | 32.4754i | − | 1.16430i | ||||||
\(779\) | 13.7139 | − | 8.69862i | 0.491353 | − | 0.311660i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.20632 | + | 6.84138i | 0.0431655 | + | 0.244804i | ||||
\(782\) | 19.5854 | + | 23.3410i | 0.700373 | + | 0.834672i | ||||
\(783\) | −7.95792 | − | 21.8642i | −0.284393 | − | 0.781363i | ||||
\(784\) | −3.30237 | − | 1.20197i | −0.117942 | − | 0.0429273i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 11.1678 | − | 19.3431i | 0.398341 | − | 0.689946i | ||||
\(787\) | 26.0977 | − | 15.0675i | 0.930282 | − | 0.537098i | 0.0433810 | − | 0.999059i | \(-0.486187\pi\) |
0.886901 | + | 0.461960i | \(0.152854\pi\) | |||||||
\(788\) | −3.46403 | − | 0.610802i | −0.123401 | − | 0.0217589i | ||||
\(789\) | −18.8981 | + | 107.176i | −0.672789 | + | 3.81558i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 14.8760 | − | 25.7660i | 0.528929 | − | 0.916133i | ||||
\(792\) | 20.2946 | − | 24.1862i | 0.721138 | − | 0.859419i | ||||
\(793\) | −7.99158 | + | 21.9567i | −0.283789 | + | 0.779704i | ||||
\(794\) | 3.85771 | − | 1.40409i | 0.136905 | − | 0.0498294i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.145954 | − | 0.827747i | −0.00517321 | − | 0.0293387i | ||||
\(797\) | 19.4641i | 0.689456i | 0.938703 | + | 0.344728i | \(0.112029\pi\) | ||||
−0.938703 | + | 0.344728i | \(0.887971\pi\) | |||||||
\(798\) | 5.98583 | + | 27.2556i | 0.211896 | + | 0.964839i | ||||
\(799\) | 37.8642 | 1.33954 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.61443 | − | 5.55016i | 0.233709 | − | 0.196105i | ||||
\(802\) | −10.6707 | − | 29.3175i | −0.376796 | − | 1.03524i | ||||
\(803\) | 6.17987 | − | 16.9790i | 0.218083 | − | 0.599177i | ||||
\(804\) | −20.9190 | − | 17.5531i | −0.737757 | − | 0.619051i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 7.37401 | + | 12.7722i | 0.259739 | + | 0.449880i | ||||
\(807\) | 78.8769 | + | 13.9081i | 2.77660 | + | 0.489589i | ||||
\(808\) | 1.93052 | + | 0.340403i | 0.0679155 | + | 0.0119753i | ||||
\(809\) | −20.1616 | − | 34.9209i | −0.708844 | − | 1.22775i | −0.965286 | − | 0.261194i | \(-0.915884\pi\) |
0.256443 | − | 0.966559i | \(-0.417450\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.7737 | − | 12.3966i | −0.518775 | − | 0.435304i | 0.345430 | − | 0.938445i | \(-0.387733\pi\) |
−0.864204 | + | 0.503141i | \(0.832178\pi\) | |||||||
\(812\) | −0.752523 | + | 2.06754i | −0.0264084 | + | 0.0725564i | ||||
\(813\) | 25.9044 | + | 71.1718i | 0.908508 | + | 2.49611i | ||||
\(814\) | −9.25792 | + | 7.76832i | −0.324490 | + | 0.272279i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 20.5354 | 0.718883 | ||||||||
\(817\) | −1.35720 | + | 2.59460i | −0.0474824 | + | 0.0907736i | ||||
\(818\) | − | 8.77338i | − | 0.306754i | ||||||
\(819\) | 8.05483 | + | 45.6812i | 0.281459 | + | 1.59623i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −39.3911 | + | 14.3372i | −1.37476 | + | 0.500372i | −0.920586 | − | 0.390541i | \(-0.872288\pi\) |
−0.454175 | + | 0.890913i | \(0.650066\pi\) | |||||||
\(822\) | 23.7442 | − | 65.2367i | 0.828175 | − | 2.27539i | ||||
\(823\) | −15.3785 | + | 18.3273i | −0.536059 | + | 0.638851i | −0.964299 | − | 0.264814i | \(-0.914689\pi\) |
0.428240 | + | 0.903665i | \(0.359134\pi\) | |||||||
\(824\) | −8.75199 | + | 15.1589i | −0.304890 | + | 0.528085i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.54587 | − | 8.76708i | 0.0537878 | − | 0.305046i | ||||
\(827\) | −24.2286 | − | 4.27216i | −0.842511 | − | 0.148557i | −0.264296 | − | 0.964442i | \(-0.585139\pi\) |
−0.578215 | + | 0.815884i | \(0.696251\pi\) | |||||||
\(828\) | 38.5882 | − | 22.2789i | 1.34103 | − | 0.774245i | ||||
\(829\) | −17.5981 | + | 30.4809i | −0.611209 | + | 1.05865i | 0.379828 | + | 0.925057i | \(0.375983\pi\) |
−0.991037 | + | 0.133588i | \(0.957350\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 63.8393 | + | 23.2356i | 2.21456 | + | 0.806034i | ||||
\(832\) | −0.970278 | − | 2.66582i | −0.0336383 | − | 0.0924206i | ||||
\(833\) | −13.5284 | − | 16.1225i | −0.468732 | − | 0.558613i | ||||
\(834\) | 2.37487 | + | 13.4686i | 0.0822352 | + | 0.466379i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −10.5934 | − | 11.6067i | −0.366381 | − | 0.401427i | ||||
\(837\) | 102.639i | 3.54773i | ||||||||
\(838\) | −6.03935 | + | 1.06490i | −0.208626 | + | 0.0367864i | ||||
\(839\) | 18.3065 | − | 15.3610i | 0.632010 | − | 0.530319i | −0.269543 | − | 0.962988i | \(-0.586873\pi\) |
0.901553 | + | 0.432669i | \(0.142428\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 25.9460 | + | 9.44358i | 0.894690 | + | 0.325641i | ||||
\(842\) | 2.46581 | − | 2.93864i | 0.0849774 | − | 0.101272i | ||||
\(843\) | 62.8416 | + | 36.2816i | 2.16438 | + | 1.24960i | ||||
\(844\) | −13.7047 | − | 23.7373i | −0.471737 | − | 0.817072i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 9.61519 | − | 54.5305i | 0.330577 | − | 1.87480i | ||||
\(847\) | −3.22834 | + | 1.86388i | −0.110927 | + | 0.0640438i | ||||
\(848\) | −2.21840 | − | 1.28080i | −0.0761803 | − | 0.0439827i | ||||
\(849\) | 48.9884 | + | 41.1062i | 1.68128 | + | 1.41076i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −16.0271 | + | 5.83339i | −0.549403 | + | 0.199966i | ||||
\(852\) | 4.24725 | + | 5.06168i | 0.145508 | + | 0.173410i | ||||
\(853\) | −25.7222 | + | 4.53551i | −0.880710 | + | 0.155293i | −0.595676 | − | 0.803225i | \(-0.703116\pi\) |
−0.285034 | + | 0.958517i | \(0.592005\pi\) | |||||||
\(854\) | 15.3773 | 0.526201 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.5897 | −0.361949 | ||||||||
\(857\) | −48.4238 | + | 8.53842i | −1.65412 | + | 0.291667i | −0.921329 | − | 0.388783i | \(-0.872896\pi\) |
−0.732795 | + | 0.680449i | \(0.761785\pi\) | |||||||
\(858\) | −22.5420 | − | 26.8645i | −0.769570 | − | 0.917138i | ||||
\(859\) | −13.6388 | + | 4.96410i | −0.465348 | + | 0.169373i | −0.564044 | − | 0.825745i | \(-0.690755\pi\) |
0.0986958 | + | 0.995118i | \(0.468533\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −18.2714 | − | 15.3315i | −0.622688 | − | 0.522497i | ||||
\(862\) | 22.1577 | + | 12.7927i | 0.754694 | + | 0.435723i | ||||
\(863\) | −9.44276 | + | 5.45178i | −0.321435 | + | 0.185581i | −0.652032 | − | 0.758191i | \(-0.726083\pi\) |
0.330597 | + | 0.943772i | \(0.392750\pi\) | |||||||
\(864\) | 3.42843 | − | 19.4436i | 0.116637 | − | 0.661484i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 14.2318 | + | 24.6502i | 0.483617 | + | 0.837649i | ||||
\(867\) | 56.0228 | + | 32.3448i | 1.90264 | + | 1.09849i | ||||
\(868\) | 6.23880 | − | 7.43511i | 0.211759 | − | 0.252364i | ||||
\(869\) | 2.03662 | + | 0.741269i | 0.0690876 | + | 0.0251458i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17.3070 | + | 14.5223i | −0.586425 | + | 0.492069i | ||||
\(872\) | 13.6646 | − | 2.40943i | 0.462740 | − | 0.0815936i | ||||
\(873\) | − | 1.64263i | − | 0.0555948i | ||||||
\(874\) | −8.44619 | − | 20.5056i | −0.285696 | − | 0.693614i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2.98432 | − | 16.9249i | −0.100831 | − | 0.571840i | ||||
\(877\) | −7.23032 | − | 8.61676i | −0.244150 | − | 0.290967i | 0.630028 | − | 0.776573i | \(-0.283044\pi\) |
−0.874178 | + | 0.485606i | \(0.838599\pi\) | |||||||
\(878\) | 13.0326 | + | 35.8069i | 0.439830 | + | 1.20842i | ||||
\(879\) | −95.7975 | − | 34.8675i | −3.23117 | − | 1.17605i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.90996 | − | 8.50431i | 0.165421 | − | 0.286517i | −0.771384 | − | 0.636370i | \(-0.780435\pi\) |
0.936805 | + | 0.349853i | \(0.113768\pi\) | |||||||
\(882\) | −26.6544 | + | 15.3889i | −0.897500 | + | 0.518172i | ||||
\(883\) | 29.9898 | + | 5.28801i | 1.00924 | + | 0.177956i | 0.653738 | − | 0.756721i | \(-0.273200\pi\) |
0.355499 | + | 0.934677i | \(0.384311\pi\) | |||||||
\(884\) | 2.95022 | − | 16.7315i | 0.0992265 | − | 0.562742i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 11.3892 | − | 19.7267i | 0.382629 | − | 0.662733i | ||||
\(887\) | 7.91266 | − | 9.42994i | 0.265681 | − | 0.316627i | −0.616667 | − | 0.787224i | \(-0.711517\pi\) |
0.882348 | + | 0.470598i | \(0.155962\pi\) | |||||||
\(888\) | −3.93151 | + | 10.8017i | −0.131933 | + | 0.362482i | ||||
\(889\) | −29.4986 | + | 10.7366i | −0.989352 | + | 0.360095i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −25.9336 | − | 147.077i | −0.868810 | − | 4.92726i | ||||
\(892\) | 11.4351i | 0.382877i | ||||||||
\(893\) | −26.2672 | − | 8.33924i | −0.879000 | − | 0.279062i | ||||
\(894\) | 19.3139 | 0.645953 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.43020 | + | 1.20008i | −0.0477798 | + | 0.0400920i | ||||
\(897\) | −16.9272 | − | 46.5072i | −0.565184 | − | 1.55283i | ||||
\(898\) | 10.6649 | − | 29.3016i | 0.355893 | − | 0.977807i | ||||
\(899\) | 4.69318 | + | 3.93804i | 0.156526 | + | 0.131341i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.67042 | − | 13.2856i | −0.255539 | − | 0.442606i | ||||
\(902\) | 13.2275 | + | 2.33236i | 0.440427 | + | 0.0776591i | ||||
\(903\) | 4.23519 | + | 0.746778i | 0.140938 | + | 0.0248512i | ||||
\(904\) | 7.96786 | + | 13.8007i | 0.265007 | + | 0.459006i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.25318 | + | 2.72975i | 0.108080 | + | 0.0906897i | ||||
\(907\) | 13.9606 | − | 38.3564i | 0.463554 | − | 1.27360i | −0.459241 | − | 0.888312i | \(-0.651879\pi\) |
0.922795 | − | 0.385292i | \(-0.125899\pi\) | |||||||
\(908\) | −5.34077 | − | 14.6736i | −0.177240 | − | 0.486962i | ||||
\(909\) | 13.1515 | − | 11.0354i | 0.436207 | − | 0.366021i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1.58058 | 0.0523671 | 0.0261836 | − | 0.999657i | \(-0.491665\pi\) | ||||
0.0261836 | + | 0.999657i | \(0.491665\pi\) | |||||||
\(912\) | −14.2458 | − | 4.52273i | −0.471727 | − | 0.149763i | ||||
\(913\) | 6.85982i | 0.227027i | ||||||||
\(914\) | −2.27149 | − | 12.8822i | −0.0751341 | − | 0.426107i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.16834 | + | 1.88112i | −0.170767 | + | 0.0621540i | ||||
\(917\) | −4.15937 | + | 11.4278i | −0.137355 | + | 0.377379i | ||||
\(918\) | 76.0030 | − | 90.5769i | 2.50847 | − | 2.98948i | ||||
\(919\) | −23.8891 | + | 41.3772i | −0.788029 | + | 1.36491i | 0.139143 | + | 0.990272i | \(0.455565\pi\) |
−0.927172 | + | 0.374635i | \(0.877768\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.07330 | + | 17.4295i | −0.101269 | + | 0.574322i | ||||
\(922\) | 17.9440 | + | 3.16401i | 0.590953 | + | 0.104201i | ||||
\(923\) | 4.73425 | − | 2.73332i | 0.155830 | − | 0.0899684i | ||||
\(924\) | −11.5397 | + | 19.9873i | −0.379628 | + | 0.657535i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −21.6204 | − | 7.86919i | −0.710492 | − | 0.258598i | ||||
\(927\) | 52.4307 | + | 144.052i | 1.72205 | + | 4.73130i | ||||
\(928\) | −0.757515 | − | 0.902771i | −0.0248666 | − | 0.0296349i | ||||
\(929\) | 8.32760 | + | 47.2282i | 0.273220 | + | 1.54951i | 0.744561 | + | 0.667555i | \(0.232659\pi\) |
−0.471341 | + | 0.881951i | \(0.656230\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.83411 | + | 14.1641i | 0.191205 | + | 0.464208i | ||||
\(932\) | 11.3286i | 0.371081i | ||||||||
\(933\) | 87.9251 | − | 15.5036i | 2.87854 | − | 0.507564i | ||||
\(934\) | −19.1917 | + | 16.1038i | −0.627973 | + | 0.526932i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −23.3468 | − | 8.49755i | −0.763115 | − | 0.277751i | ||||
\(937\) | 24.4752 | − | 29.1684i | 0.799570 | − | 0.952890i | −0.200068 | − | 0.979782i | \(-0.564116\pi\) |
0.999638 | + | 0.0268915i | \(0.00856087\pi\) | |||||||
\(938\) | 12.8765 | + | 7.43425i | 0.420433 | + | 0.242737i | ||||
\(939\) | −0.475128 | − | 0.822946i | −0.0155052 | − | 0.0268558i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.81969 | + | 38.6764i | −0.222315 | + | 1.26081i | 0.645436 | + | 0.763815i | \(0.276676\pi\) |
−0.867751 | + | 0.496999i | \(0.834435\pi\) | |||||||
\(942\) | −63.8676 | + | 36.8740i | −2.08092 | + | 1.20142i | ||||
\(943\) | 16.4160 | + | 9.47776i | 0.534577 | + | 0.308638i | ||||
\(944\) | 3.65269 | + | 3.06497i | 0.118885 | + | 0.0997564i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.27570 | + | 0.828287i | −0.0739894 | + | 0.0269299i | ||||
\(947\) | 4.60297 | + | 5.48561i | 0.149577 | + | 0.178258i | 0.835630 | − | 0.549293i | \(-0.185103\pi\) |
−0.686053 | + | 0.727551i | \(0.740658\pi\) | |||||||
\(948\) | 2.03013 | − | 0.357967i | 0.0659355 | − | 0.0116262i | ||||
\(949\) | −14.2186 | −0.461555 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 85.4768 | 2.77178 | ||||||||
\(952\) | −11.0112 | + | 1.94157i | −0.356875 | + | 0.0629267i | ||||
\(953\) | −21.3618 | − | 25.4580i | −0.691977 | − | 0.824667i | 0.299616 | − | 0.954060i | \(-0.403141\pi\) |
−0.991593 | + | 0.129393i | \(0.958697\pi\) | |||||||
\(954\) | −21.0811 | + | 7.67290i | −0.682526 | + | 0.248419i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.13631 | + | 0.953473i | 0.0367507 | + | 0.0308375i | ||||
\(957\) | −12.6164 | − | 7.28406i | −0.407829 | − | 0.235460i | ||||
\(958\) | −18.7608 | + | 10.8316i | −0.606135 | + | 0.349952i | ||||
\(959\) | −6.56382 | + | 37.2253i | −0.211957 | + | 1.20207i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.98710 | + | 3.44176i | 0.0641000 | + | 0.111024i | ||||
\(962\) | 8.23605 | + | 4.75508i | 0.265541 | + | 0.153310i | ||||
\(963\) | −59.6141 | + | 71.0453i | −1.92104 | + | 2.28940i | ||||
\(964\) | −7.91140 | − | 2.87951i | −0.254809 | − | 0.0927429i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −24.9510 | + | 20.9364i | −0.802786 | + | 0.673617i | ||||
\(967\) | −24.8420 | + | 4.38031i | −0.798864 | + | 0.140861i | −0.558156 | − | 0.829736i | \(-0.688491\pi\) |
−0.240708 | + | 0.970597i | \(0.577380\pi\) | |||||||
\(968\) | − | 1.99666i | − | 0.0641751i | ||||||
\(969\) | −60.3424 | − | 66.1146i | −1.93848 | − | 2.12391i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.59334 | + | 43.0640i | 0.243682 | + | 1.38199i | 0.823534 | + | 0.567267i | \(0.191999\pi\) |
−0.579852 | + | 0.814722i | \(0.696890\pi\) | |||||||
\(972\) | −53.2353 | − | 63.4434i | −1.70752 | − | 2.03495i | ||||
\(973\) | −2.54684 | − | 6.99739i | −0.0816481 | − | 0.224326i | ||||
\(974\) | 3.12479 | + | 1.13733i | 0.100125 | + | 0.0364424i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.11819 | + | 7.13291i | −0.131820 | + | 0.228319i | ||||
\(977\) | 0.00414279 | − | 0.00239184i | 0.000132539 | − | 7.65217e-5i | −0.499934 | − | 0.866064i | \(-0.666642\pi\) |
0.500066 | + | 0.865987i | \(0.333309\pi\) | |||||||
\(978\) | −60.8548 | − | 10.7303i | −1.94592 | − | 0.343118i | ||||
\(979\) | 0.617201 | − | 3.50032i | 0.0197258 | − | 0.111871i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 60.7591 | − | 105.238i | 1.93989 | − | 3.35999i | ||||
\(982\) | 3.23904 | − | 3.86014i | 0.103362 | − | 0.123182i | ||||
\(983\) | 12.6492 | − | 34.7535i | 0.403448 | − | 1.10846i | −0.557123 | − | 0.830430i | \(-0.688095\pi\) |
0.960571 | − | 0.278034i | \(-0.0896829\pi\) | |||||||
\(984\) | 12.0049 | − | 4.36943i | 0.382703 | − | 0.139292i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −1.22556 | − | 6.95047i | −0.0390296 | − | 0.221348i | ||||
\(987\) | 40.4761i | 1.28837i | ||||||||
\(988\) | −5.73159 | + | 10.9573i | −0.182346 | + | 0.348597i | ||||
\(989\) | −3.41774 | −0.108678 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.48081 | + | 3.75985i | −0.142338 | + | 0.119435i | −0.711176 | − | 0.703014i | \(-0.751837\pi\) |
0.568839 | + | 0.822449i | \(0.307393\pi\) | |||||||
\(992\) | 1.77804 | + | 4.88512i | 0.0564528 | + | 0.155103i | ||||
\(993\) | −12.5451 | + | 34.4674i | −0.398107 | + | 1.09379i | ||||
\(994\) | −2.75597 | − | 2.31253i | −0.0874141 | − | 0.0733491i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 3.26235 | + | 5.65056i | 0.103372 | + | 0.179045i | ||||
\(997\) | 57.0588 | + | 10.0610i | 1.80707 | + | 0.318635i | 0.972612 | − | 0.232437i | \(-0.0746698\pi\) |
0.834458 | + | 0.551072i | \(0.185781\pi\) | |||||||
\(998\) | 10.0831 | + | 1.77791i | 0.319174 | + | 0.0562789i | ||||
\(999\) | 33.0931 | + | 57.3190i | 1.04702 | + | 1.81349i |
(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.u.g.199.3 | 36 | ||
5.2 | odd | 4 | 190.2.k.d.161.3 | yes | 18 | ||
5.3 | odd | 4 | 950.2.l.i.351.1 | 18 | |||
5.4 | even | 2 | inner | 950.2.u.g.199.4 | 36 | ||
19.17 | even | 9 | inner | 950.2.u.g.549.4 | 36 | ||
95.17 | odd | 36 | 190.2.k.d.131.3 | ✓ | 18 | ||
95.32 | even | 36 | 3610.2.a.bj.1.1 | 9 | |||
95.74 | even | 18 | inner | 950.2.u.g.549.3 | 36 | ||
95.82 | odd | 36 | 3610.2.a.bi.1.9 | 9 | |||
95.93 | odd | 36 | 950.2.l.i.701.1 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.131.3 | ✓ | 18 | 95.17 | odd | 36 | ||
190.2.k.d.161.3 | yes | 18 | 5.2 | odd | 4 | ||
950.2.l.i.351.1 | 18 | 5.3 | odd | 4 | |||
950.2.l.i.701.1 | 18 | 95.93 | odd | 36 | |||
950.2.u.g.199.3 | 36 | 1.1 | even | 1 | trivial | ||
950.2.u.g.199.4 | 36 | 5.4 | even | 2 | inner | ||
950.2.u.g.549.3 | 36 | 95.74 | even | 18 | inner | ||
950.2.u.g.549.4 | 36 | 19.17 | even | 9 | inner | ||
3610.2.a.bi.1.9 | 9 | 95.82 | odd | 36 | |||
3610.2.a.bj.1.1 | 9 | 95.32 | even | 36 |