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 | 199.4 | ||
Character | \(\chi\) | \(=\) | 950.199 |
Dual form | 950.2.u.g.549.4 |
$q$-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 | \(-0.767593\pi\) |
−0.527450 | − | 0.849586i | \(-0.676852\pi\) | |||||||
\(4\) | 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 | 0.162284 | − | 0.986744i | \(-0.448114\pi\) |
−0.773403 | + | 0.633914i | \(0.781447\pi\) | |||||||
\(8\) | 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 | −0.957151 | − | 0.289588i | \(-0.906482\pi\) |
0.451396 | + | 0.892324i | \(0.350926\pi\) | |||||||
\(14\) | −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 | −0.834586 | − | 0.550878i | \(-0.814293\pi\) |
−0.595842 | + | 0.803101i | \(0.703182\pi\) | |||||||
\(18\) | 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 | \(0.0668603\pi\) |
−0.615182 | + | 0.788385i | \(0.710918\pi\) | |||||||
\(24\) | −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 | \(0.0888625\pi\) | ||||
−0.961285 | + | 0.275558i | \(0.911137\pi\) | |||||||
\(38\) | −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 | −0.955978 | − | 0.293439i | \(-0.905200\pi\) |
0.920940 | + | 0.389703i | \(0.127422\pi\) | |||||||
\(44\) | 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 | −0.300027 | − | 0.953931i | \(-0.596996\pi\) |
−0.608197 | + | 0.793786i | \(0.708107\pi\) | |||||||
\(48\) | −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 | 0.985208 | − | 0.171365i | \(-0.0548176\pi\) |
−0.864864 | + | 0.502006i | \(0.832595\pi\) | |||||||
\(54\) | 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 | 0.630795 | − | 0.775949i | \(-0.282729\pi\) |
0.327363 | + | 0.944899i | \(0.393840\pi\) | |||||||
\(68\) | −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 | 0.920886 | − | 0.389832i | \(-0.127467\pi\) |
−0.543820 | + | 0.839202i | \(0.683022\pi\) | |||||||
\(74\) | 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 | 0.406827 | − | 0.913505i | \(-0.366635\pi\) |
−0.587706 | + | 0.809075i | \(0.699969\pi\) | |||||||
\(84\) | 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 | −0.164263 | − | 0.986417i | \(-0.552525\pi\) |
0.183018 | + | 0.983110i | \(0.441413\pi\) | |||||||
\(98\) | −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 | −0.999973 | − | 0.00728653i | \(-0.997681\pi\) |
−0.493676 | + | 0.869646i | \(0.664347\pi\) | |||||||
\(104\) | −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 | −0.0137643 | − | 0.999905i | \(-0.504381\pi\) |
−0.872826 | + | 0.488032i | \(0.837715\pi\) | |||||||
\(108\) | 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 | \(0.269732\pi\) | ||||
−0.661944 | + | 0.749553i | \(0.730268\pi\) | |||||||
\(114\) | 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 | \(-0.509749\pi\) |
0.989663 | − | 0.143409i | \(-0.0458066\pi\) | |||||||
\(128\) | 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 | \(-0.778510\pi\) |
0.175914 | − | 0.984406i | \(-0.443712\pi\) | |||||||
\(138\) | 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 | \(0.439550\pi\) |
−0.775837 | + | 0.630934i | \(0.782672\pi\) | |||||||
\(158\) | 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 | −0.965431 | − | 0.260660i | \(-0.916060\pi\) |
−0.256977 | + | 0.966418i | \(0.582726\pi\) | |||||||
\(164\) | −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 | \(0.0275874\pi\) |
−0.707530 | + | 0.706684i | \(0.750190\pi\) | |||||||
\(168\) | 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 | −0.168183 | − | 0.985756i | \(-0.553790\pi\) |
0.179108 | + | 0.983829i | \(0.442679\pi\) | |||||||
\(174\) | 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 | 0.641138 | − | 0.767426i | \(-0.278463\pi\) |
−0.867099 | + | 0.498135i | \(0.834018\pi\) | |||||||
\(194\) | 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 | 0.604576 | − | 0.796547i | \(-0.293342\pi\) |
−0.387542 | + | 0.921852i | \(0.626676\pi\) | |||||||
\(198\) | −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 | \(-0.763822\pi\) |
0.999039 | − | 0.0438288i | \(-0.0139556\pi\) | |||||||
\(224\) | −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 | \(0.173403\pi\) | ||||
−0.855251 | + | 0.518214i | \(0.826597\pi\) | |||||||
\(228\) | 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 | \(-0.767876\pi\) |
0.999516 | − | 0.0311019i | \(-0.00990164\pi\) | |||||||
\(234\) | −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 | 0.514879 | − | 0.857263i | \(-0.327837\pi\) |
0.190627 | + | 0.981663i | \(0.438948\pi\) | |||||||
\(258\) | 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 | \(-0.788297\pi\) |
−0.471113 | − | 0.882073i | \(-0.656148\pi\) | |||||||
\(264\) | −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 | −0.917251 | − | 0.398310i | \(-0.869597\pi\) |
−0.113679 | + | 0.993518i | \(0.536263\pi\) | |||||||
\(278\) | −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 | −0.690418 | − | 0.723411i | \(-0.742573\pi\) |
−0.401359 | + | 0.915921i | \(0.631462\pi\) | |||||||
\(284\) | 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 | \(-0.331788\pi\) |
0.999988 | − | 0.00485332i | \(-0.00154486\pi\) | |||||||
\(294\) | −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 | 0.663014 | − | 0.748607i | \(-0.269277\pi\) |
−0.852365 | + | 0.522947i | \(0.824833\pi\) | |||||||
\(308\) | −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 | 0.181356 | − | 0.983418i | \(-0.441951\pi\) |
−0.165930 | + | 0.986138i | \(0.553063\pi\) | |||||||
\(314\) | −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 | \(0.469058\pi\) |
−0.997012 | + | 0.0772492i | \(0.975386\pi\) | |||||||
\(318\) | 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 | −0.974883 | − | 0.222719i | \(-0.928507\pi\) |
0.889964 | + | 0.456030i | \(0.150729\pi\) | |||||||
\(338\) | 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 | \(-0.699385\pi\) |
0.969826 | − | 0.243796i | \(-0.0783928\pi\) | |||||||
\(348\) | 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 | −0.298553 | − | 0.954393i | \(-0.596504\pi\) |
0.677252 | + | 0.735751i | \(0.263171\pi\) | |||||||
\(354\) | 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 | −0.454568 | − | 0.890712i | \(-0.650206\pi\) |
0.956115 | + | 0.292992i | \(0.0946509\pi\) | |||||||
\(368\) | 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 | 0.682644 | − | 0.730752i | \(-0.260830\pi\) |
−0.291528 | + | 0.956562i | \(0.594164\pi\) | |||||||
\(374\) | −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 | 0.793923 | − | 0.608019i | \(-0.208036\pi\) |
−0.736645 | + | 0.676280i | \(0.763591\pi\) | |||||||
\(384\) | −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 | −0.0712700 | − | 0.997457i | \(-0.522705\pi\) |
0.274179 | + | 0.961679i | \(0.411594\pi\) | |||||||
\(398\) | − | 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 | \(0.128623\pi\) |
−0.451624 | + | 0.892208i | \(0.649155\pi\) | |||||||
\(434\) | −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 | −0.296377 | − | 0.955071i | \(-0.595779\pi\) |
0.992027 | + | 0.126029i | \(0.0402231\pi\) | |||||||
\(444\) | 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 | \(-0.901026\pi\) | ||
0.952047 | − | 0.305951i | \(-0.0989744\pi\) | |||||||
\(458\) | −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 | −0.0404670 | − | 0.999181i | \(-0.512885\pi\) |
−0.885550 | + | 0.464545i | \(0.846218\pi\) | |||||||
\(464\) | 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 | −0.909429 | − | 0.415860i | \(-0.863481\pi\) |
−0.0945691 | + | 0.995518i | \(0.530147\pi\) | |||||||
\(468\) | −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 | 0.563827 | − | 0.825893i | \(-0.309328\pi\) |
−0.433330 | + | 0.901235i | \(0.642662\pi\) | |||||||
\(488\) | −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 | 0.0245291 | − | 0.999699i | \(-0.492191\pi\) |
−0.318867 | + | 0.947799i | \(0.603302\pi\) | |||||||
\(504\) | 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 | 0.499597 | − | 0.866258i | \(-0.333481\pi\) |
0.173190 | + | 0.984888i | \(0.444593\pi\) | |||||||
\(524\) | 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 | \(0.0248812\pi\) |
−0.713512 | + | 0.700643i | \(0.752897\pi\) | |||||||
\(548\) | −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 | \(-0.478499\pi\) |
0.970842 | − | 0.239721i | \(-0.0770561\pi\) | |||||||
\(558\) | 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 | 0.707829 | − | 0.706384i | \(-0.249675\pi\) |
−0.257832 | + | 0.966190i | \(0.583008\pi\) | |||||||
\(564\) | 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 | 0.538274 | − | 0.842770i | \(-0.319076\pi\) |
−0.460723 | + | 0.887544i | \(0.652410\pi\) | |||||||
\(578\) | 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 | 0.439342 | − | 0.898320i | \(-0.355212\pi\) |
0.720090 | + | 0.693880i | \(0.244100\pi\) | |||||||
\(588\) | 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 | 0.990167 | − | 0.139889i | \(-0.0446744\pi\) |
−0.848431 | + | 0.529306i | \(0.822452\pi\) | |||||||
\(594\) | 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 | \(-0.632282\pi\) | ||
0.403717 | − | 0.914884i | \(-0.367718\pi\) | |||||||
\(608\) | −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 | −0.930919 | − | 0.365227i | \(-0.880991\pi\) |
0.947888 | + | 0.318603i | \(0.103214\pi\) | |||||||
\(614\) | −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 | 0.622773 | − | 0.782402i | \(-0.286006\pi\) |
0.317618 | + | 0.948219i | \(0.397117\pi\) | |||||||
\(618\) | 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 | 0.918401 | − | 0.395650i | \(-0.129481\pi\) |
−0.549118 | + | 0.835745i | \(0.685036\pi\) | |||||||
\(644\) | −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 | \(0.0278306\pi\) | ||||
−0.996180 | + | 0.0873211i | \(0.972169\pi\) | |||||||
\(648\) | −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 | 0.791937 | − | 0.610603i | \(-0.209073\pi\) |
−0.132829 | + | 0.991139i | \(0.542406\pi\) | |||||||
\(654\) | 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 | −0.479276 | − | 0.877664i | \(-0.659101\pi\) |
0.520442 | + | 0.853897i | \(0.325767\pi\) | |||||||
\(674\) | −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 | 0.766759 | − | 0.641935i | \(-0.221868\pi\) |
−0.172552 | + | 0.985000i | \(0.555201\pi\) | |||||||
\(678\) | 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 | \(-0.821697\pi\) | ||
0.847173 | − | 0.531318i | \(-0.178303\pi\) | |||||||
\(684\) | −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 | \(0.302943\pi\) |
−0.968018 | + | 0.250883i | \(0.919279\pi\) | |||||||
\(728\) | 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 | 0.412299 | − | 0.911049i | \(-0.364726\pi\) |
0.995141 | + | 0.0984629i | \(0.0313926\pi\) | |||||||
\(734\) | 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 | 0.0685156 | − | 0.997650i | \(-0.478174\pi\) |
0.405600 | + | 0.914051i | \(0.367063\pi\) | |||||||
\(744\) | −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 | \(-0.991465\pi\) |
0.147183 | − | 0.989109i | \(-0.452979\pi\) | |||||||
\(758\) | −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 | −0.451623 | − | 0.892209i | \(-0.649155\pi\) |
0.957078 | + | 0.289832i | \(0.0935994\pi\) | |||||||
\(774\) | −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 | −0.886901 | − | 0.461960i | \(-0.847146\pi\) |
−0.0433810 | + | 0.999059i | \(0.513813\pi\) | |||||||
\(788\) | 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 | \(-0.887971\pi\) | ||
0.938703 | − | 0.344728i | \(-0.112029\pi\) | |||||||
\(798\) | −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 | −0.428240 | − | 0.903665i | \(-0.640866\pi\) |
0.964299 | + | 0.264814i | \(0.0853107\pi\) | |||||||
\(824\) | −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 | 0.578215 | − | 0.815884i | \(-0.303749\pi\) |
0.264296 | + | 0.964442i | \(0.414861\pi\) | |||||||
\(828\) | −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 | 0.285034 | − | 0.958517i | \(-0.407995\pi\) |
0.595676 | + | 0.803225i | \(0.296884\pi\) | |||||||
\(854\) | 15.3773 | 0.526201 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.5897 | −0.361949 | ||||||||
\(857\) | 48.4238 | − | 8.53842i | 1.65412 | − | 0.291667i | 0.732795 | − | 0.680449i | \(-0.238215\pi\) |
0.921329 | + | 0.388783i | \(0.127104\pi\) | |||||||
\(858\) | 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 | −0.330597 | − | 0.943772i | \(-0.607250\pi\) |
0.652032 | + | 0.758191i | \(0.273917\pi\) | |||||||
\(864\) | 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 | 0.874178 | − | 0.485606i | \(-0.161401\pi\) |
−0.630028 | + | 0.776573i | \(0.716956\pi\) | |||||||
\(878\) | −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 | −0.355499 | − | 0.934677i | \(-0.615689\pi\) |
−0.653738 | + | 0.756721i | \(0.726800\pi\) | |||||||
\(884\) | 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 | −0.882348 | − | 0.470598i | \(-0.844038\pi\) |
0.616667 | + | 0.787224i | \(0.288483\pi\) | |||||||
\(888\) | 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 | \(0.348121\pi\) |
−0.922795 | + | 0.385292i | \(0.874101\pi\) | |||||||
\(908\) | 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 | −0.999638 | − | 0.0268915i | \(-0.991439\pi\) |
0.200068 | + | 0.979782i | \(0.435884\pi\) | |||||||
\(938\) | −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 | 0.686053 | − | 0.727551i | \(-0.259342\pi\) |
−0.835630 | + | 0.549293i | \(0.814897\pi\) | |||||||
\(948\) | −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 | 0.991593 | − | 0.129393i | \(-0.0413030\pi\) |
−0.299616 | + | 0.954060i | \(0.596859\pi\) | |||||||
\(954\) | −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 | 0.240708 | − | 0.970597i | \(-0.422620\pi\) |
0.558156 | + | 0.829736i | \(0.311509\pi\) | |||||||
\(968\) | 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 | −0.500066 | − | 0.865987i | \(-0.666691\pi\) |
0.499934 | + | 0.866064i | \(0.333358\pi\) | |||||||
\(978\) | 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 | \(0.311905\pi\) |
−0.960571 | + | 0.278034i | \(0.910317\pi\) | |||||||
\(984\) | 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 | −0.834458 | − | 0.551072i | \(-0.814219\pi\) |
−0.972612 | + | 0.232437i | \(0.925330\pi\) | |||||||
\(998\) | −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.199.4 | 36 | ||
5.2 | odd | 4 | 950.2.l.i.351.1 | 18 | |||
5.3 | odd | 4 | 190.2.k.d.161.3 | yes | 18 | ||
5.4 | even | 2 | inner | 950.2.u.g.199.3 | 36 | ||
19.17 | even | 9 | inner | 950.2.u.g.549.3 | 36 | ||
95.13 | even | 36 | 3610.2.a.bj.1.1 | 9 | |||
95.17 | odd | 36 | 950.2.l.i.701.1 | 18 | |||
95.63 | odd | 36 | 3610.2.a.bi.1.9 | 9 | |||
95.74 | even | 18 | inner | 950.2.u.g.549.4 | 36 | ||
95.93 | odd | 36 | 190.2.k.d.131.3 | ✓ | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.131.3 | ✓ | 18 | 95.93 | odd | 36 | ||
190.2.k.d.161.3 | yes | 18 | 5.3 | odd | 4 | ||
950.2.l.i.351.1 | 18 | 5.2 | odd | 4 | |||
950.2.l.i.701.1 | 18 | 95.17 | odd | 36 | |||
950.2.u.g.199.3 | 36 | 5.4 | even | 2 | inner | ||
950.2.u.g.199.4 | 36 | 1.1 | even | 1 | trivial | ||
950.2.u.g.549.3 | 36 | 19.17 | even | 9 | inner | ||
950.2.u.g.549.4 | 36 | 95.74 | even | 18 | inner | ||
3610.2.a.bi.1.9 | 9 | 95.63 | odd | 36 | |||
3610.2.a.bj.1.1 | 9 | 95.13 | even | 36 |