Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(101,950)]
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([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.101");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.l (of order \(9\), degree \(6\), 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: | \(18\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{18} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 190) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 701.1 | ||
Root | \(-1.71449 + 2.96958i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 950.701 |
Dual form | 950.2.l.i.351.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.173648 | − | 0.984808i | 0.122788 | − | 0.696364i | ||||
\(3\) | −2.62675 | − | 2.20410i | −1.51655 | − | 1.27254i | −0.849586 | − | 0.527450i | \(-0.823148\pi\) |
−0.666966 | − | 0.745088i | \(-0.732407\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −2.62675 | + | 2.20410i | −1.07236 | + | 0.899820i | ||||
\(7\) | 0.933500 | + | 1.61687i | 0.352830 | + | 0.611119i | 0.986744 | − | 0.162284i | \(-0.0518861\pi\) |
−0.633914 | + | 0.773403i | \(0.718553\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 1.52078 | + | 8.62480i | 0.506928 | + | 2.87493i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.80254 | − | 3.12210i | 0.543488 | − | 0.941348i | −0.455213 | − | 0.890383i | \(-0.650437\pi\) |
0.998700 | − | 0.0509654i | \(-0.0162298\pi\) | |||||||
\(12\) | 1.71449 | + | 2.96958i | 0.494930 | + | 0.857243i | ||||
\(13\) | 2.17319 | − | 1.82353i | 0.602736 | − | 0.505755i | −0.289588 | − | 0.957151i | \(-0.593518\pi\) |
0.892324 | + | 0.451396i | \(0.149074\pi\) | |||||||
\(14\) | 1.75441 | − | 0.638551i | 0.468885 | − | 0.170660i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −1.03994 | + | 5.89781i | −0.252223 | + | 1.43043i | 0.550878 | + | 0.834586i | \(0.314293\pi\) |
−0.803101 | + | 0.595842i | \(0.796818\pi\) | |||||||
\(18\) | 8.75785 | 2.06425 | ||||||||
\(19\) | 4.32047 | − | 0.577506i | 0.991184 | − | 0.132489i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.11168 | − | 6.30463i | 0.242588 | − | 1.37578i | ||||
\(22\) | −2.76166 | − | 2.31731i | −0.588787 | − | 0.494051i | ||||
\(23\) | 4.78092 | + | 1.74011i | 0.996892 | + | 0.362839i | 0.788385 | − | 0.615182i | \(-0.210918\pi\) |
0.208507 | + | 0.978021i | \(0.433140\pi\) | |||||||
\(24\) | 3.22218 | − | 1.17278i | 0.657725 | − | 0.239392i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −1.41845 | − | 2.45683i | −0.278181 | − | 0.481824i | ||||
\(27\) | 9.87176 | − | 17.0984i | 1.89982 | − | 3.29059i | ||||
\(28\) | −0.324201 | − | 1.83864i | −0.0612682 | − | 0.347469i | ||||
\(29\) | 0.204642 | + | 1.16058i | 0.0380010 | + | 0.215514i | 0.997895 | − | 0.0648484i | \(-0.0206564\pi\) |
−0.959894 | + | 0.280363i | \(0.909545\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 2.59932 | + | 4.50215i | 0.466851 | + | 0.808610i | 0.999283 | − | 0.0378630i | \(-0.0120550\pi\) |
−0.532432 | + | 0.846473i | \(0.678722\pi\) | |||||||
\(32\) | 0.766044 | − | 0.642788i | 0.135419 | − | 0.113630i | ||||
\(33\) | −11.6162 | + | 4.22797i | −2.02213 | + | 0.735995i | ||||
\(34\) | 5.62762 | + | 2.04829i | 0.965129 | + | 0.351278i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.52078 | − | 8.62480i | 0.253464 | − | 1.43747i | ||||
\(37\) | −3.35231 | −0.551116 | −0.275558 | − | 0.961285i | \(-0.588863\pi\) | ||||
−0.275558 | + | 0.961285i | \(0.588863\pi\) | |||||||
\(38\) | 0.181510 | − | 4.35512i | 0.0294447 | − | 0.706493i | ||||
\(39\) | −9.72766 | −1.55767 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −2.85406 | − | 2.39484i | −0.445730 | − | 0.374012i | 0.392119 | − | 0.919915i | \(-0.371742\pi\) |
−0.837848 | + | 0.545903i | \(0.816187\pi\) | |||||||
\(42\) | −6.01581 | − | 2.18958i | −0.928259 | − | 0.337859i | ||||
\(43\) | 0.631247 | − | 0.229755i | 0.0962642 | − | 0.0350373i | −0.293439 | − | 0.955978i | \(-0.594800\pi\) |
0.389703 | + | 0.920940i | \(0.372578\pi\) | |||||||
\(44\) | −2.76166 | + | 2.31731i | −0.416336 | + | 0.349347i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 2.54388 | − | 4.40612i | 0.375074 | − | 0.649647i | ||||
\(47\) | 1.09789 | + | 6.22647i | 0.160144 | + | 0.908223i | 0.953931 | + | 0.300027i | \(0.0969956\pi\) |
−0.793786 | + | 0.608197i | \(0.791893\pi\) | |||||||
\(48\) | −0.595435 | − | 3.37688i | −0.0859436 | − | 0.487410i | ||||
\(49\) | 1.75716 | − | 3.04348i | 0.251022 | − | 0.434783i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 15.7310 | − | 13.1999i | 2.20278 | − | 1.84836i | ||||
\(52\) | −2.66582 | + | 0.970278i | −0.369682 | + | 0.134553i | ||||
\(53\) | 2.40711 | + | 0.876116i | 0.330642 | + | 0.120344i | 0.502006 | − | 0.864864i | \(-0.332595\pi\) |
−0.171365 | + | 0.985208i | \(0.554818\pi\) | |||||||
\(54\) | −15.1244 | − | 12.6909i | −2.05817 | − | 1.72701i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −1.86700 | −0.249488 | ||||||||
\(57\) | −12.6217 | − | 8.00580i | −1.67178 | − | 1.06039i | ||||
\(58\) | 1.17848 | 0.154743 | ||||||||
\(59\) | −0.827999 | + | 4.69581i | −0.107796 | + | 0.611343i | 0.882270 | + | 0.470743i | \(0.156014\pi\) |
−0.990067 | + | 0.140600i | \(0.955097\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −7.73966 | − | 2.81701i | −0.990962 | − | 0.360681i | −0.204869 | − | 0.978789i | \(-0.565677\pi\) |
−0.786093 | + | 0.618109i | \(0.787899\pi\) | |||||||
\(62\) | 4.88512 | − | 1.77804i | 0.620411 | − | 0.225811i | ||||
\(63\) | −12.5255 | + | 10.5102i | −1.57807 | + | 1.32416i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.14660 | + | 12.1739i | 0.264228 | + | 1.49851i | ||||
\(67\) | −1.38291 | − | 7.84286i | −0.168949 | − | 0.958158i | −0.944899 | − | 0.327363i | \(-0.893840\pi\) |
0.775949 | − | 0.630795i | \(-0.217271\pi\) | |||||||
\(68\) | 2.99439 | − | 5.18644i | 0.363124 | − | 0.628949i | ||||
\(69\) | −8.72288 | − | 15.1085i | −1.05011 | − | 1.81885i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.81077 | − | 0.659065i | 0.214898 | − | 0.0782166i | −0.232328 | − | 0.972638i | \(-0.574634\pi\) |
0.447226 | + | 0.894421i | \(0.352412\pi\) | |||||||
\(72\) | −8.22969 | − | 2.99536i | −0.969878 | − | 0.353007i | ||||
\(73\) | 3.83942 | + | 3.22165i | 0.449370 | + | 0.377066i | 0.839202 | − | 0.543820i | \(-0.183022\pi\) |
−0.389832 | + | 0.920886i | \(0.627467\pi\) | |||||||
\(74\) | −0.582122 | + | 3.30138i | −0.0676703 | + | 0.383777i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −4.25744 | − | 0.935010i | −0.488361 | − | 0.107253i | ||||
\(77\) | 6.73070 | 0.767034 | ||||||||
\(78\) | −1.68919 | + | 9.57988i | −0.191263 | + | 1.08471i | ||||
\(79\) | −0.460535 | − | 0.386434i | −0.0518142 | − | 0.0434773i | 0.616513 | − | 0.787345i | \(-0.288545\pi\) |
−0.668327 | + | 0.743868i | \(0.732989\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −38.9281 | + | 14.1687i | −4.32534 | + | 1.57430i | ||||
\(82\) | −2.85406 | + | 2.39484i | −0.315179 | + | 0.264466i | ||||
\(83\) | −0.951408 | − | 1.64789i | −0.104431 | − | 0.180879i | 0.809075 | − | 0.587706i | \(-0.199969\pi\) |
−0.913505 | + | 0.406827i | \(0.866635\pi\) | |||||||
\(84\) | −3.20094 | + | 5.54420i | −0.349252 | + | 0.604922i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −0.116650 | − | 0.661553i | −0.0125787 | − | 0.0713371i | ||||
\(87\) | 2.02049 | − | 3.49960i | 0.216620 | − | 0.375196i | ||||
\(88\) | 1.80254 | + | 3.12210i | 0.192152 | + | 0.332817i | ||||
\(89\) | 0.755257 | − | 0.633736i | 0.0800571 | − | 0.0671759i | −0.601881 | − | 0.798586i | \(-0.705582\pi\) |
0.681938 | + | 0.731410i | \(0.261137\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 4.97708 | + | 1.81151i | 0.521740 | + | 0.189898i | ||||
\(92\) | −3.89744 | − | 3.27034i | −0.406337 | − | 0.340957i | ||||
\(93\) | 3.09545 | − | 17.5552i | 0.320983 | − | 1.82039i | ||||
\(94\) | 6.32252 | 0.652118 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −3.42897 | −0.349968 | ||||||||
\(97\) | 0.0325697 | − | 0.184712i | 0.00330695 | − | 0.0187547i | −0.983110 | − | 0.183018i | \(-0.941413\pi\) |
0.986417 | + | 0.164263i | \(0.0525246\pi\) | |||||||
\(98\) | −2.69212 | − | 2.25896i | −0.271945 | − | 0.228189i | ||||
\(99\) | 29.6688 | + | 10.7985i | 2.98182 | + | 1.08529i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.50168 | + | 1.26006i | −0.149423 | + | 0.125380i | −0.714435 | − | 0.699702i | \(-0.753316\pi\) |
0.565012 | + | 0.825083i | \(0.308872\pi\) | |||||||
\(102\) | −10.2677 | − | 17.7842i | −1.01665 | − | 1.76090i | ||||
\(103\) | 8.75199 | − | 15.1589i | 0.862359 | − | 1.49365i | −0.00728653 | − | 0.999973i | \(-0.502319\pi\) |
0.869646 | − | 0.493676i | \(-0.164347\pi\) | |||||||
\(104\) | 0.492623 | + | 2.79380i | 0.0483057 | + | 0.273955i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 1.28080 | − | 2.21840i | 0.124402 | − | 0.215470i | ||||
\(107\) | 5.29485 | + | 9.17096i | 0.511873 | + | 0.886590i | 0.999905 | + | 0.0137643i | \(0.00438146\pi\) |
−0.488032 | + | 0.872826i | \(0.662285\pi\) | |||||||
\(108\) | −15.1244 | + | 12.6909i | −1.45535 | + | 1.22118i | ||||
\(109\) | 13.0386 | − | 4.74565i | 1.24887 | − | 0.454551i | 0.368849 | − | 0.929489i | \(-0.379752\pi\) |
0.880019 | + | 0.474939i | \(0.157530\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 8.80565 | + | 7.38882i | 0.835796 | + | 0.701316i | ||||
\(112\) | −0.324201 | + | 1.83864i | −0.0306341 | + | 0.173735i | ||||
\(113\) | 15.9357 | 1.49911 | 0.749553 | − | 0.661944i | \(-0.230268\pi\) | ||||
0.749553 | + | 0.661944i | \(0.230268\pi\) | |||||||
\(114\) | −10.0759 | + | 11.0397i | −0.943694 | + | 1.03396i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0.204642 | − | 1.16058i | 0.0190005 | − | 0.107757i | ||||
\(117\) | 19.0325 | + | 15.9702i | 1.75956 | + | 1.47644i | ||||
\(118\) | 4.48069 | + | 1.63084i | 0.412481 | + | 0.150131i | ||||
\(119\) | −10.5068 | + | 3.82415i | −0.963154 | + | 0.350559i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −0.998331 | − | 1.72916i | −0.0907574 | − | 0.157196i | ||||
\(122\) | −4.11819 | + | 7.13291i | −0.372843 | + | 0.645783i | ||||
\(123\) | 2.21842 | + | 12.5813i | 0.200028 | + | 1.13442i | ||||
\(124\) | −0.902733 | − | 5.11966i | −0.0810679 | − | 0.459759i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 8.17545 | + | 14.1603i | 0.728327 | + | 1.26150i | ||||
\(127\) | 12.8803 | − | 10.8078i | 1.14294 | − | 0.959041i | 0.143409 | − | 0.989663i | \(-0.454193\pi\) |
0.999531 | + | 0.0306225i | \(0.00974897\pi\) | |||||||
\(128\) | −0.939693 | + | 0.342020i | −0.0830579 | + | 0.0302306i | ||||
\(129\) | −2.16453 | − | 0.787824i | −0.190576 | − | 0.0693640i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 1.13110 | − | 6.41481i | 0.0988249 | − | 0.560464i | −0.894683 | − | 0.446702i | \(-0.852599\pi\) |
0.993508 | − | 0.113763i | \(-0.0362903\pi\) | |||||||
\(132\) | 12.3617 | 1.07595 | ||||||||
\(133\) | 4.96691 | + | 6.44654i | 0.430686 | + | 0.558986i | ||||
\(134\) | −7.96385 | −0.687972 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −4.58768 | − | 3.84952i | −0.393390 | − | 0.330094i | ||||
\(137\) | 19.0252 | + | 6.92459i | 1.62543 | + | 0.591608i | 0.984406 | − | 0.175914i | \(-0.0562880\pi\) |
0.641023 | + | 0.767521i | \(0.278510\pi\) | |||||||
\(138\) | −16.3937 | + | 5.96680i | −1.39552 | + | 0.507928i | ||||
\(139\) | 3.05535 | − | 2.56374i | 0.259151 | − | 0.217454i | −0.503950 | − | 0.863733i | \(-0.668120\pi\) |
0.763101 | + | 0.646279i | \(0.223676\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 10.8399 | − | 18.7752i | 0.912882 | − | 1.58116i | ||||
\(142\) | −0.334616 | − | 1.89770i | −0.0280803 | − | 0.159252i | ||||
\(143\) | −1.77595 | − | 10.0719i | −0.148512 | − | 0.842256i | ||||
\(144\) | −4.37893 | + | 7.58452i | −0.364910 | + | 0.632043i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 3.83942 | − | 3.22165i | 0.317753 | − | 0.266626i | ||||
\(147\) | −11.3237 | + | 4.12151i | −0.933967 | + | 0.339936i | ||||
\(148\) | 3.15014 | + | 1.14656i | 0.258940 | + | 0.0942463i | ||||
\(149\) | 4.31479 | + | 3.62054i | 0.353481 | + | 0.296606i | 0.802186 | − | 0.597074i | \(-0.203670\pi\) |
−0.448705 | + | 0.893680i | \(0.648115\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.23848 | −0.100786 | −0.0503932 | − | 0.998729i | \(-0.516047\pi\) | ||||
−0.0503932 | + | 0.998729i | \(0.516047\pi\) | |||||||
\(152\) | −1.66010 | + | 4.03039i | −0.134652 | + | 0.326908i | ||||
\(153\) | −52.4489 | −4.24024 | ||||||||
\(154\) | 1.16877 | − | 6.62844i | 0.0941825 | − | 0.534135i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 9.14101 | + | 3.32706i | 0.731867 | + | 0.266378i | ||||
\(157\) | −20.2103 | + | 7.35594i | −1.61296 | + | 0.587068i | −0.982021 | − | 0.188769i | \(-0.939550\pi\) |
−0.630934 | + | 0.775837i | \(0.717328\pi\) | |||||||
\(158\) | −0.460535 | + | 0.386434i | −0.0366382 | + | 0.0307431i | ||||
\(159\) | −4.39181 | − | 7.60685i | −0.348294 | − | 0.603262i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 1.64946 | + | 9.35452i | 0.129995 | + | 0.737240i | ||||
\(162\) | 7.19362 | + | 40.7970i | 0.565184 | + | 3.20532i | ||||
\(163\) | 9.01050 | − | 15.6067i | 0.705757 | − | 1.22241i | −0.260660 | − | 0.965431i | \(-0.583940\pi\) |
0.966418 | − | 0.256977i | \(-0.0827263\pi\) | |||||||
\(164\) | 1.86286 | + | 3.22656i | 0.145465 | + | 0.251952i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.78806 | + | 0.650801i | −0.138781 | + | 0.0505120i | ||||
\(167\) | −10.2510 | − | 3.73105i | −0.793244 | − | 0.288717i | −0.0865598 | − | 0.996247i | \(-0.527587\pi\) |
−0.706684 | + | 0.707530i | \(0.749810\pi\) | |||||||
\(168\) | 4.90413 | + | 4.11506i | 0.378362 | + | 0.317483i | ||||
\(169\) | −0.859902 | + | 4.87675i | −0.0661463 | + | 0.375134i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 11.5514 | + | 36.3850i | 0.883357 | + | 2.78243i | ||||
\(172\) | −0.671759 | −0.0512211 | ||||||||
\(173\) | −0.0253357 | + | 0.143686i | −0.00192623 | + | 0.0109242i | −0.985756 | − | 0.168183i | \(-0.946210\pi\) |
0.983829 | + | 0.179108i | \(0.0573210\pi\) | |||||||
\(174\) | −3.09558 | − | 2.59750i | −0.234675 | − | 0.196916i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 3.38767 | − | 1.23301i | 0.255356 | − | 0.0929418i | ||||
\(177\) | 12.5250 | − | 10.5097i | 0.941436 | − | 0.789958i | ||||
\(178\) | −0.492959 | − | 0.853830i | −0.0369488 | − | 0.0639973i | ||||
\(179\) | −2.84974 | + | 4.93590i | −0.213000 | + | 0.368927i | −0.952652 | − | 0.304063i | \(-0.901657\pi\) |
0.739652 | + | 0.672989i | \(0.234990\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.21271 | − | 18.2202i | −0.238799 | − | 1.35430i | −0.834464 | − | 0.551063i | \(-0.814223\pi\) |
0.595665 | − | 0.803233i | \(-0.296889\pi\) | |||||||
\(182\) | 2.64825 | − | 4.58690i | 0.196301 | − | 0.340004i | ||||
\(183\) | 14.1212 | + | 24.4586i | 1.04387 | + | 1.80803i | ||||
\(184\) | −3.89744 | + | 3.27034i | −0.287323 | + | 0.241093i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −16.7509 | − | 6.09684i | −1.22824 | − | 0.447042i | ||||
\(187\) | 16.5390 | + | 13.8779i | 1.20945 | + | 1.01485i | ||||
\(188\) | 1.09789 | − | 6.22647i | 0.0800721 | − | 0.454112i | ||||
\(189\) | 36.8611 | 2.68125 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.8820 | 1.36626 | 0.683128 | − | 0.730298i | \(-0.260619\pi\) | ||||
0.683128 | + | 0.730298i | \(0.260619\pi\) | |||||||
\(192\) | −0.595435 | + | 3.37688i | −0.0429718 | + | 0.243705i | ||||
\(193\) | −3.74110 | − | 3.13916i | −0.269290 | − | 0.225961i | 0.498135 | − | 0.867099i | \(-0.334018\pi\) |
−0.767426 | + | 0.641138i | \(0.778463\pi\) | |||||||
\(194\) | −0.176250 | − | 0.0641498i | −0.0126540 | − | 0.00460568i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.69212 | + | 2.25896i | −0.192294 | + | 0.161354i | ||||
\(197\) | −1.75874 | − | 3.04622i | −0.125305 | − | 0.217034i | 0.796547 | − | 0.604576i | \(-0.206658\pi\) |
−0.921852 | + | 0.387542i | \(0.873324\pi\) | |||||||
\(198\) | 15.7864 | − | 27.3429i | 1.12189 | − | 1.94317i | ||||
\(199\) | −0.145954 | − | 0.827747i | −0.0103464 | − | 0.0586774i | 0.979197 | − | 0.202910i | \(-0.0650398\pi\) |
−0.989544 | + | 0.144232i | \(0.953929\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −13.6539 | + | 23.6493i | −0.963073 | + | 1.66809i | ||||
\(202\) | 0.980151 | + | 1.69767i | 0.0689632 | + | 0.119448i | ||||
\(203\) | −1.68547 | + | 1.41428i | −0.118297 | + | 0.0992630i | ||||
\(204\) | −19.2970 | + | 7.02352i | −1.35106 | + | 0.491745i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −13.4088 | − | 11.2513i | −0.934237 | − | 0.783918i | ||||
\(207\) | −7.73738 | + | 43.8809i | −0.537785 | + | 3.04993i | ||||
\(208\) | 2.83690 | 0.196704 | ||||||||
\(209\) | 5.98481 | − | 14.5299i | 0.413978 | − | 1.00506i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.75961 | + | 26.9931i | −0.327665 | + | 1.85828i | 0.162579 | + | 0.986695i | \(0.448019\pi\) |
−0.490244 | + | 0.871585i | \(0.663092\pi\) | |||||||
\(212\) | −1.96229 | − | 1.64656i | −0.134771 | − | 0.113086i | ||||
\(213\) | −6.20906 | − | 2.25991i | −0.425438 | − | 0.154847i | ||||
\(214\) | 9.95107 | − | 3.62189i | 0.680241 | − | 0.247588i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 9.87176 | + | 17.0984i | 0.671688 | + | 1.16340i | ||||
\(217\) | −4.85292 | + | 8.40551i | −0.329438 | + | 0.570603i | ||||
\(218\) | −2.40943 | − | 13.6646i | −0.163187 | − | 0.925480i | ||||
\(219\) | −2.98432 | − | 16.9249i | −0.201662 | − | 1.14368i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.49481 | + | 14.7134i | 0.571423 | + | 0.989733i | ||||
\(222\) | 8.80565 | − | 7.38882i | 0.590997 | − | 0.495905i | ||||
\(223\) | −10.7455 | + | 3.91105i | −0.719574 | + | 0.261903i | −0.675745 | − | 0.737136i | \(-0.736178\pi\) |
−0.0438288 | + | 0.999039i | \(0.513956\pi\) | |||||||
\(224\) | 1.75441 | + | 0.638551i | 0.117221 | + | 0.0426650i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.76721 | − | 15.6936i | 0.184072 | − | 1.04392i | ||||
\(227\) | −15.6154 | −1.03643 | −0.518214 | − | 0.855251i | \(-0.673403\pi\) | ||||
−0.518214 | + | 0.855251i | \(0.673403\pi\) | |||||||
\(228\) | 9.12234 | + | 11.8399i | 0.604142 | + | 0.784113i | ||||
\(229\) | 5.50003 | 0.363452 | 0.181726 | − | 0.983349i | \(-0.441832\pi\) | ||||
0.181726 | + | 0.983349i | \(0.441832\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −17.6798 | − | 14.8351i | −1.16325 | − | 0.976080i | ||||
\(232\) | −1.10741 | − | 0.403065i | −0.0727052 | − | 0.0264625i | ||||
\(233\) | −10.6454 | + | 3.87461i | −0.697404 | + | 0.253834i | −0.666302 | − | 0.745682i | \(-0.732124\pi\) |
−0.0311019 | + | 0.999516i | \(0.509902\pi\) | |||||||
\(234\) | 19.0325 | − | 15.9702i | 1.24419 | − | 1.04400i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 2.38413 | − | 4.12943i | 0.155193 | − | 0.268803i | ||||
\(237\) | 0.357967 | + | 2.03013i | 0.0232524 | + | 0.131871i | ||||
\(238\) | 1.94157 | + | 11.0112i | 0.125853 | + | 0.713750i | ||||
\(239\) | −0.741670 | + | 1.28461i | −0.0479747 | + | 0.0830946i | −0.889016 | − | 0.457877i | \(-0.848610\pi\) |
0.841041 | + | 0.540972i | \(0.181943\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.44943 | + | 5.41172i | −0.415444 | + | 0.348599i | −0.826427 | − | 0.563044i | \(-0.809630\pi\) |
0.410983 | + | 0.911643i | \(0.365186\pi\) | |||||||
\(242\) | −1.87625 | + | 0.682899i | −0.120610 | + | 0.0438984i | ||||
\(243\) | 77.8248 | + | 28.3259i | 4.99247 | + | 1.81711i | ||||
\(244\) | 6.30943 | + | 5.29424i | 0.403920 | + | 0.338929i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 12.7754 | 0.814528 | ||||||||
\(247\) | 8.33613 | − | 9.13353i | 0.530415 | − | 0.581153i | ||||
\(248\) | −5.19863 | −0.330114 | ||||||||
\(249\) | −1.13300 | + | 6.42558i | −0.0718011 | + | 0.407204i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −10.4219 | − | 3.79327i | −0.657826 | − | 0.239429i | −0.00852858 | − | 0.999964i | \(-0.502715\pi\) |
−0.649298 | + | 0.760535i | \(0.724937\pi\) | |||||||
\(252\) | 15.3648 | − | 5.59234i | 0.967893 | − | 0.352284i | ||||
\(253\) | 14.0506 | − | 11.7899i | 0.883356 | − | 0.741223i | ||||
\(254\) | −8.40701 | − | 14.5614i | −0.527503 | − | 0.913661i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −1.99428 | − | 11.3101i | −0.124400 | − | 0.705506i | −0.981663 | − | 0.190627i | \(-0.938948\pi\) |
0.857263 | − | 0.514879i | \(-0.172163\pi\) | |||||||
\(258\) | −1.15172 | + | 1.99484i | −0.0717030 | + | 0.124193i | ||||
\(259\) | −3.12938 | − | 5.42024i | −0.194450 | − | 0.336797i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −9.69856 | + | 3.52999i | −0.600326 | + | 0.218501i | ||||
\(262\) | −6.12094 | − | 2.22784i | −0.378153 | − | 0.137636i | ||||
\(263\) | −24.3129 | − | 20.4010i | −1.49920 | − | 1.25798i | −0.882073 | − | 0.471113i | \(-0.843852\pi\) |
−0.617126 | − | 0.786864i | \(-0.711703\pi\) | |||||||
\(264\) | 2.14660 | − | 12.1739i | 0.132114 | − | 0.749255i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 7.21109 | − | 3.77202i | 0.442141 | − | 0.231278i | ||||
\(267\) | −3.38069 | −0.206895 | ||||||||
\(268\) | −1.38291 | + | 7.84286i | −0.0844746 | + | 0.479079i | ||||
\(269\) | −17.8932 | − | 15.0142i | −1.09097 | − | 0.915431i | −0.0941831 | − | 0.995555i | \(-0.530024\pi\) |
−0.996785 | + | 0.0801240i | \(0.974468\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.7560 | − | 7.55458i | 1.26084 | − | 0.458908i | 0.376788 | − | 0.926299i | \(-0.377028\pi\) |
0.884050 | + | 0.467392i | \(0.154806\pi\) | |||||||
\(272\) | −4.58768 | + | 3.84952i | −0.278169 | + | 0.233411i | ||||
\(273\) | −9.08077 | − | 15.7284i | −0.549593 | − | 0.951924i | ||||
\(274\) | 10.1231 | − | 17.5337i | 0.611557 | − | 1.05925i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 3.02943 | + | 17.1807i | 0.182350 | + | 1.03416i | ||||
\(277\) | −9.90622 | + | 17.1581i | −0.595207 | + | 1.03093i | 0.398310 | + | 0.917251i | \(0.369597\pi\) |
−0.993518 | + | 0.113679i | \(0.963737\pi\) | |||||||
\(278\) | −1.99424 | − | 3.45412i | −0.119606 | − | 0.207164i | ||||
\(279\) | −34.8771 | + | 29.2654i | −2.08804 | + | 1.75207i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 19.8856 | + | 7.23776i | 1.18627 | + | 0.431769i | 0.858414 | − | 0.512958i | \(-0.171450\pi\) |
0.327860 | + | 0.944726i | \(0.393672\pi\) | |||||||
\(282\) | −16.6076 | − | 13.9355i | −0.988971 | − | 0.829845i | ||||
\(283\) | 3.23851 | − | 18.3665i | 0.192510 | − | 1.09178i | −0.723411 | − | 0.690418i | \(-0.757427\pi\) |
0.915921 | − | 0.401359i | \(-0.131462\pi\) | |||||||
\(284\) | −1.92698 | −0.114345 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.2273 | −0.604752 | ||||||||
\(287\) | 1.20788 | − | 6.85023i | 0.0712989 | − | 0.404356i | ||||
\(288\) | 6.70890 | + | 5.62944i | 0.395326 | + | 0.331718i | ||||
\(289\) | −17.7279 | − | 6.45241i | −1.04282 | − | 0.379554i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −0.492676 | + | 0.413404i | −0.0288812 | + | 0.0242342i | ||||
\(292\) | −2.50600 | − | 4.34052i | −0.146653 | − | 0.254010i | ||||
\(293\) | −14.8653 | + | 25.7475i | −0.868442 | + | 1.50419i | −0.00485332 | + | 0.999988i | \(0.501545\pi\) |
−0.863589 | + | 0.504197i | \(0.831788\pi\) | |||||||
\(294\) | 2.09254 | + | 11.8674i | 0.122040 | + | 0.692121i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.67615 | − | 2.90318i | 0.0974244 | − | 0.168744i | ||||
\(297\) | −35.5886 | − | 61.6412i | −2.06506 | − | 3.57678i | ||||
\(298\) | 4.31479 | − | 3.62054i | 0.249949 | − | 0.209732i | ||||
\(299\) | 13.5630 | − | 4.93654i | 0.784370 | − | 0.285487i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0.960753 | + | 0.806167i | 0.0553769 | + | 0.0464667i | ||||
\(302\) | −0.215061 | + | 1.21967i | −0.0123753 | + | 0.0701841i | ||||
\(303\) | 6.72182 | 0.386159 | ||||||||
\(304\) | 3.68089 | + | 2.33475i | 0.211113 | + | 0.133907i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −9.10766 | + | 51.6521i | −0.520650 | + | 2.95275i | ||||
\(307\) | 3.95389 | + | 3.31770i | 0.225660 | + | 0.189351i | 0.748607 | − | 0.663014i | \(-0.230723\pi\) |
−0.522947 | + | 0.852365i | \(0.675167\pi\) | |||||||
\(308\) | −6.32479 | − | 2.30203i | −0.360388 | − | 0.131171i | ||||
\(309\) | −56.4010 | + | 20.5283i | −3.20854 | + | 1.16781i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 13.0187 | + | 22.5490i | 0.738223 | + | 1.27864i | 0.953295 | + | 0.302041i | \(0.0976680\pi\) |
−0.215072 | + | 0.976598i | \(0.568999\pi\) | |||||||
\(312\) | 4.86383 | − | 8.42440i | 0.275360 | − | 0.476938i | ||||
\(313\) | 0.0481224 | + | 0.272916i | 0.00272004 | + | 0.0154261i | 0.986138 | − | 0.165930i | \(-0.0530625\pi\) |
−0.983418 | + | 0.181356i | \(0.941951\pi\) | |||||||
\(314\) | 3.73471 | + | 21.1806i | 0.210762 | + | 1.19529i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0.300593 | + | 0.520642i | 0.0169097 | + | 0.0292884i | ||||
\(317\) | −19.0958 | + | 16.0233i | −1.07253 | + | 0.899958i | −0.995279 | − | 0.0970537i | \(-0.969058\pi\) |
−0.0772492 | + | 0.997012i | \(0.524614\pi\) | |||||||
\(318\) | −8.25391 | + | 3.00418i | −0.462856 | + | 0.168466i | ||||
\(319\) | 3.99232 | + | 1.45309i | 0.223527 | + | 0.0813572i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 6.30548 | − | 35.7602i | 0.351938 | − | 1.99594i | ||||
\(322\) | 9.49883 | 0.529349 | ||||||||
\(323\) | −1.08702 | + | 26.0819i | −0.0604835 | + | 1.45123i | ||||
\(324\) | 41.4264 | 2.30147 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −13.8049 | − | 11.5837i | −0.764582 | − | 0.641561i | ||||
\(327\) | −44.7089 | − | 16.2727i | −2.47241 | − | 0.899882i | ||||
\(328\) | 3.50103 | − | 1.27427i | 0.193312 | − | 0.0703598i | ||||
\(329\) | −9.04250 | + | 7.58755i | −0.498529 | + | 0.418315i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 5.34847 | − | 9.26381i | 0.293978 | − | 0.509185i | −0.680768 | − | 0.732499i | \(-0.738354\pi\) |
0.974747 | + | 0.223313i | \(0.0716873\pi\) | |||||||
\(332\) | 0.330420 | + | 1.87391i | 0.0181342 | + | 0.102844i | ||||
\(333\) | −5.09814 | − | 28.9130i | −0.279376 | − | 1.58442i | ||||
\(334\) | −5.45442 | + | 9.44734i | −0.298453 | + | 0.516935i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 4.90413 | − | 4.11506i | 0.267542 | − | 0.224495i | ||||
\(337\) | −4.28303 | + | 1.55890i | −0.233312 | + | 0.0849184i | −0.456030 | − | 0.889964i | \(-0.650729\pi\) |
0.222719 | + | 0.974883i | \(0.428507\pi\) | |||||||
\(338\) | 4.65334 | + | 1.69368i | 0.253108 | + | 0.0921238i | ||||
\(339\) | −41.8591 | − | 35.1239i | −2.27347 | − | 1.90767i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 18.7415 | 1.01491 | ||||||||
\(342\) | 37.8381 | − | 5.05771i | 2.04605 | − | 0.273490i | ||||
\(343\) | 19.6302 | 1.05993 | ||||||||
\(344\) | −0.116650 | + | 0.661553i | −0.00628933 | + | 0.0356686i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.137103 | + | 0.0499015i | 0.00737072 | + | 0.00268272i | ||||
\(347\) | 19.6329 | − | 7.14578i | 1.05395 | − | 0.383606i | 0.243796 | − | 0.969826i | \(-0.421607\pi\) |
0.810151 | + | 0.586221i | \(0.199385\pi\) | |||||||
\(348\) | −3.09558 | + | 2.59750i | −0.165940 | + | 0.139240i | ||||
\(349\) | 5.64218 | + | 9.77255i | 0.302019 | + | 0.523112i | 0.976593 | − | 0.215095i | \(-0.0690060\pi\) |
−0.674574 | + | 0.738207i | \(0.735673\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −9.72611 | − | 55.1595i | −0.519141 | − | 2.94420i | ||||
\(352\) | −0.626017 | − | 3.55032i | −0.0333668 | − | 0.189233i | ||||
\(353\) | −4.10792 | + | 7.11512i | −0.218642 | + | 0.378700i | −0.954393 | − | 0.298553i | \(-0.903496\pi\) |
0.735751 | + | 0.677252i | \(0.236829\pi\) | |||||||
\(354\) | −8.17511 | − | 14.1597i | −0.434502 | − | 0.752580i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −0.926460 | + | 0.337204i | −0.0491023 | + | 0.0178718i | ||||
\(357\) | 36.0274 | + | 13.1129i | 1.90677 | + | 0.694009i | ||||
\(358\) | 4.36606 | + | 3.66356i | 0.230753 | + | 0.193625i | ||||
\(359\) | −1.86656 | + | 10.5858i | −0.0985131 | + | 0.558696i | 0.895101 | + | 0.445864i | \(0.147103\pi\) |
−0.993614 | + | 0.112832i | \(0.964008\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 18.3330 | − | 4.99020i | 0.964893 | − | 0.262642i | ||||
\(362\) | −18.5013 | −0.972405 | ||||||||
\(363\) | −1.18888 | + | 6.74248i | −0.0624001 | + | 0.353889i | ||||
\(364\) | −4.05735 | − | 3.40452i | −0.212663 | − | 0.178446i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 26.5391 | − | 9.65944i | 1.38722 | − | 0.504907i | ||||
\(367\) | 11.4507 | − | 9.60825i | 0.597720 | − | 0.501547i | −0.292992 | − | 0.956115i | \(-0.594651\pi\) |
0.890712 | + | 0.454568i | \(0.150206\pi\) | |||||||
\(368\) | 2.54388 | + | 4.40612i | 0.132609 | + | 0.229685i | ||||
\(369\) | 16.3146 | − | 28.2578i | 0.849306 | − | 1.47104i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0.830471 | + | 4.70983i | 0.0431159 | + | 0.244522i | ||||
\(372\) | −8.91299 | + | 15.4377i | −0.462117 | + | 0.800410i | ||||
\(373\) | 4.36113 | + | 7.55370i | 0.225811 | + | 0.391116i | 0.956562 | − | 0.291528i | \(-0.0941635\pi\) |
−0.730752 | + | 0.682644i | \(0.760830\pi\) | |||||||
\(374\) | 16.5390 | − | 13.8779i | 0.855211 | − | 0.717607i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.94122 | − | 2.16243i | −0.306395 | − | 0.111519i | ||||
\(377\) | 2.56107 | + | 2.14900i | 0.131902 | + | 0.110679i | ||||
\(378\) | 6.40087 | − | 36.3011i | 0.329225 | − | 1.86713i | ||||
\(379\) | 15.9169 | 0.817597 | 0.408799 | − | 0.912625i | \(-0.365948\pi\) | ||||
0.408799 | + | 0.912625i | \(0.365948\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −57.6548 | −2.95375 | ||||||||
\(382\) | 3.27883 | − | 18.5952i | 0.167760 | − | 0.951412i | ||||
\(383\) | 1.33589 | + | 1.12094i | 0.0682607 | + | 0.0572776i | 0.676280 | − | 0.736645i | \(-0.263591\pi\) |
−0.608019 | + | 0.793923i | \(0.708036\pi\) | |||||||
\(384\) | 3.22218 | + | 1.17278i | 0.164431 | + | 0.0598481i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −3.74110 | + | 3.13916i | −0.190417 | + | 0.159779i | ||||
\(387\) | 2.94158 | + | 5.09497i | 0.149529 | + | 0.258992i | ||||
\(388\) | −0.0937807 | + | 0.162433i | −0.00476099 | + | 0.00824628i | ||||
\(389\) | 5.63929 | + | 31.9820i | 0.285924 | + | 1.62155i | 0.701968 | + | 0.712209i | \(0.252305\pi\) |
−0.416044 | + | 0.909344i | \(0.636584\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −15.2347 | + | 26.3873i | −0.770454 | + | 1.33447i | ||||
\(392\) | 1.75716 | + | 3.04348i | 0.0887498 | + | 0.153719i | ||||
\(393\) | −17.1100 | + | 14.3570i | −0.863085 | + | 0.724214i | ||||
\(394\) | −3.30534 | + | 1.20305i | −0.166521 | + | 0.0606086i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −24.1862 | − | 20.2946i | −1.21540 | − | 1.01984i | ||||
\(397\) | 0.712877 | − | 4.04292i | 0.0357783 | − | 0.202909i | −0.961679 | − | 0.274179i | \(-0.911594\pi\) |
0.997457 | + | 0.0712700i | \(0.0227052\pi\) | |||||||
\(398\) | −0.840516 | −0.0421313 | ||||||||
\(399\) | 1.16200 | − | 27.8810i | 0.0581730 | − | 1.39580i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 5.41766 | − | 30.7251i | 0.270545 | − | 1.53434i | −0.482221 | − | 0.876049i | \(-0.660170\pi\) |
0.752766 | − | 0.658288i | \(-0.228719\pi\) | |||||||
\(402\) | 20.9190 | + | 17.5531i | 1.04335 | + | 0.875471i | ||||
\(403\) | 13.8586 | + | 5.04412i | 0.690347 | + | 0.251266i | ||||
\(404\) | 1.84208 | − | 0.670463i | 0.0916470 | − | 0.0333568i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.10011 | + | 1.90545i | 0.0545978 | + | 0.0945661i | ||||
\(407\) | −6.04268 | + | 10.4662i | −0.299524 | + | 0.518792i | ||||
\(408\) | 3.56593 | + | 20.2234i | 0.176540 | + | 1.00121i | ||||
\(409\) | 1.52348 | + | 8.64010i | 0.0753313 | + | 0.427225i | 0.999027 | + | 0.0440987i | \(0.0140416\pi\) |
−0.923696 | + | 0.383127i | \(0.874847\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −34.7117 | − | 60.1225i | −1.71220 | − | 2.96562i | ||||
\(412\) | −13.4088 | + | 11.2513i | −0.660605 | + | 0.554314i | ||||
\(413\) | −8.36545 | + | 3.04478i | −0.411637 | + | 0.149824i | ||||
\(414\) | 41.8706 | + | 15.2397i | 2.05783 | + | 0.748988i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0.492623 | − | 2.79380i | 0.0241528 | − | 0.136978i | ||||
\(417\) | −13.6764 | −0.669734 | ||||||||
\(418\) | −13.2699 | − | 8.41698i | −0.649053 | − | 0.411688i | ||||
\(419\) | −6.13252 | −0.299593 | −0.149797 | − | 0.988717i | \(-0.547862\pi\) | ||||
−0.149797 | + | 0.988717i | \(0.547862\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.93864 | − | 2.46581i | −0.143220 | − | 0.120176i | 0.568363 | − | 0.822778i | \(-0.307577\pi\) |
−0.711583 | + | 0.702602i | \(0.752021\pi\) | |||||||
\(422\) | 25.7565 | + | 9.37460i | 1.25381 | + | 0.456348i | ||||
\(423\) | −52.0324 | + | 18.9382i | −2.52990 | + | 0.920808i | ||||
\(424\) | −1.96229 | + | 1.64656i | −0.0952974 | + | 0.0799640i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −3.30377 | + | 5.72230i | −0.160068 | + | 0.277247i | ||||
\(427\) | −2.67024 | − | 15.1437i | −0.129222 | − | 0.732855i | ||||
\(428\) | −1.83888 | − | 10.4288i | −0.0888858 | − | 0.504096i | ||||
\(429\) | −17.5345 | + | 30.3707i | −0.846576 | + | 1.46631i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −19.5996 | + | 16.4460i | −0.944081 | + | 0.792178i | −0.978291 | − | 0.207237i | \(-0.933553\pi\) |
0.0342100 | + | 0.999415i | \(0.489108\pi\) | |||||||
\(432\) | 18.5528 | − | 6.75268i | 0.892624 | − | 0.324888i | ||||
\(433\) | 26.7471 | + | 9.73513i | 1.28538 | + | 0.467841i | 0.892208 | − | 0.451624i | \(-0.149155\pi\) |
0.393173 | + | 0.919464i | \(0.371377\pi\) | |||||||
\(434\) | 7.43511 | + | 6.23880i | 0.356897 | + | 0.299472i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.8754 | −0.664509 | ||||||||
\(437\) | 21.6608 | + | 4.75710i | 1.03618 | + | 0.227563i | ||||
\(438\) | −17.1860 | −0.821180 | ||||||||
\(439\) | 6.61684 | − | 37.5260i | 0.315805 | − | 1.79102i | −0.251866 | − | 0.967762i | \(-0.581044\pi\) |
0.567671 | − | 0.823256i | \(-0.307845\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 28.9217 | + | 10.5266i | 1.37722 | + | 0.501268i | ||||
\(442\) | 15.9650 | − | 5.81079i | 0.759379 | − | 0.276391i | ||||
\(443\) | −17.4493 | + | 14.6417i | −0.829042 | + | 0.695649i | −0.955071 | − | 0.296377i | \(-0.904221\pi\) |
0.126029 | + | 0.992027i | \(0.459777\pi\) | |||||||
\(444\) | −5.74748 | − | 9.95493i | −0.272763 | − | 0.472440i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 1.98569 | + | 11.2614i | 0.0940253 | + | 0.533244i | ||||
\(447\) | −3.35382 | − | 19.0205i | −0.158630 | − | 0.899637i | ||||
\(448\) | 0.933500 | − | 1.61687i | 0.0441037 | − | 0.0763899i | ||||
\(449\) | 15.5911 | + | 27.0045i | 0.735787 | + | 1.27442i | 0.954377 | + | 0.298604i | \(0.0965211\pi\) |
−0.218590 | + | 0.975817i | \(0.570146\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −12.6215 | + | 4.59385i | −0.594324 | + | 0.216316i | ||||
\(452\) | −14.9747 | − | 5.45034i | −0.704350 | − | 0.256362i | ||||
\(453\) | 3.25318 | + | 2.72975i | 0.152848 | + | 0.128255i | ||||
\(454\) | −2.71158 | + | 15.3781i | −0.127261 | + | 0.721731i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 13.2441 | − | 6.92778i | 0.620210 | − | 0.324423i | ||||
\(457\) | 13.0810 | 0.611902 | 0.305951 | − | 0.952047i | \(-0.401026\pi\) | ||||
0.305951 | + | 0.952047i | \(0.401026\pi\) | |||||||
\(458\) | 0.955070 | − | 5.41647i | 0.0446275 | − | 0.253095i | ||||
\(459\) | 90.5769 | + | 76.0030i | 4.22777 | + | 3.54752i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −17.1219 | + | 6.23187i | −0.797448 | + | 0.290247i | −0.708429 | − | 0.705783i | \(-0.750596\pi\) |
−0.0890194 | + | 0.996030i | \(0.528373\pi\) | |||||||
\(462\) | −17.6798 | + | 14.8351i | −0.822540 | + | 0.690193i | ||||
\(463\) | −11.5040 | − | 19.9255i | −0.534636 | − | 0.926017i | −0.999181 | − | 0.0404670i | \(-0.987115\pi\) |
0.464545 | − | 0.885550i | \(-0.346218\pi\) | |||||||
\(464\) | −0.589242 | + | 1.02060i | −0.0273549 | + | 0.0473800i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.96719 | + | 11.1565i | 0.0911284 | + | 0.516815i | ||||
\(467\) | −12.5265 | + | 21.6966i | −0.579658 | + | 1.00400i | 0.415860 | + | 0.909429i | \(0.363481\pi\) |
−0.995518 | + | 0.0945691i | \(0.969853\pi\) | |||||||
\(468\) | −12.4226 | − | 21.5166i | −0.574234 | − | 0.994603i | ||||
\(469\) | 11.3899 | − | 9.55729i | 0.525938 | − | 0.441315i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 69.3005 | + | 25.2233i | 3.19320 | + | 1.16223i | ||||
\(472\) | −3.65269 | − | 3.06497i | −0.168129 | − | 0.141077i | ||||
\(473\) | 0.420532 | − | 2.38496i | 0.0193361 | − | 0.109660i | ||||
\(474\) | 2.06145 | 0.0946854 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 11.1811 | 0.512483 | ||||||||
\(477\) | −3.89563 | + | 22.0932i | −0.178369 | + | 1.01158i | ||||
\(478\) | 1.13631 | + | 0.953473i | 0.0519734 | + | 0.0436108i | ||||
\(479\) | −20.3567 | − | 7.40924i | −0.930122 | − | 0.338537i | −0.167864 | − | 0.985810i | \(-0.553687\pi\) |
−0.762258 | + | 0.647274i | \(0.775909\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −7.28521 | + | 6.11302i | −0.332177 | + | 0.278730i | ||||
\(482\) | 4.20957 | + | 7.29118i | 0.191741 | + | 0.332104i | ||||
\(483\) | 16.2856 | − | 28.2075i | 0.741021 | − | 1.28349i | ||||
\(484\) | 0.346717 | + | 1.96633i | 0.0157598 | + | 0.0893785i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 41.4097 | − | 71.7238i | 1.87838 | − | 3.25346i | ||||
\(487\) | −1.66266 | − | 2.87982i | −0.0753425 | − | 0.130497i | 0.825893 | − | 0.563827i | \(-0.190672\pi\) |
−0.901235 | + | 0.433330i | \(0.857338\pi\) | |||||||
\(488\) | 6.30943 | − | 5.29424i | 0.285614 | − | 0.239659i | ||||
\(489\) | −58.0669 | + | 21.1346i | −2.62588 | + | 0.955741i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.86014 | − | 3.23904i | −0.174206 | − | 0.146176i | 0.551516 | − | 0.834164i | \(-0.314050\pi\) |
−0.725722 | + | 0.687988i | \(0.758494\pi\) | |||||||
\(492\) | 2.21842 | − | 12.5813i | 0.100014 | − | 0.567208i | ||||
\(493\) | −7.05769 | −0.317862 | ||||||||
\(494\) | −7.54722 | − | 9.79551i | −0.339565 | − | 0.440721i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −0.902733 | + | 5.11966i | −0.0405339 | + | 0.229879i | ||||
\(497\) | 2.75597 | + | 2.31253i | 0.123622 | + | 0.103731i | ||||
\(498\) | 6.13121 | + | 2.23158i | 0.274746 | + | 0.0999995i | ||||
\(499\) | 9.62114 | − | 3.50181i | 0.430701 | − | 0.156762i | −0.117567 | − | 0.993065i | \(-0.537509\pi\) |
0.548268 | + | 0.836302i | \(0.315287\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 18.7031 | + | 32.3947i | 0.835592 | + | 1.44729i | ||||
\(502\) | −5.54539 | + | 9.60490i | −0.247503 | + | 0.428688i | ||||
\(503\) | −1.16399 | − | 6.60132i | −0.0518998 | − | 0.294338i | 0.947799 | − | 0.318867i | \(-0.103302\pi\) |
−0.999699 | + | 0.0245291i | \(0.992191\pi\) | |||||||
\(504\) | −2.83930 | − | 16.1025i | −0.126473 | − | 0.717262i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −9.17090 | − | 15.8845i | −0.407696 | − | 0.706151i | ||||
\(507\) | 13.0076 | − | 10.9147i | 0.577687 | − | 0.484737i | ||||
\(508\) | −15.8000 | + | 5.75073i | −0.701012 | + | 0.255148i | ||||
\(509\) | −22.6049 | − | 8.22751i | −1.00195 | − | 0.364678i | −0.211611 | − | 0.977354i | \(-0.567871\pi\) |
−0.790334 | + | 0.612676i | \(0.790093\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.62490 | + | 9.21525i | −0.0718812 | + | 0.407659i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 32.7762 | − | 79.5741i | 1.44711 | − | 3.51328i | ||||
\(514\) | −11.4846 | −0.506564 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 1.76454 | + | 1.48062i | 0.0776795 | + | 0.0651808i | ||||
\(517\) | 21.4186 | + | 7.79575i | 0.941991 | + | 0.342857i | ||||
\(518\) | −5.88130 | + | 2.14062i | −0.258410 | + | 0.0940534i | ||||
\(519\) | 0.383248 | − | 0.321583i | 0.0168227 | − | 0.0141159i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −13.2375 | + | 22.9280i | −0.579945 | + | 1.00449i | 0.415540 | + | 0.909575i | \(0.363593\pi\) |
−0.995485 | + | 0.0949192i | \(0.969741\pi\) | |||||||
\(522\) | 1.79222 | + | 10.1642i | 0.0784434 | + | 0.444874i | ||||
\(523\) | 2.71298 | + | 15.3861i | 0.118631 | + | 0.672787i | 0.984888 | + | 0.173190i | \(0.0554075\pi\) |
−0.866258 | + | 0.499597i | \(0.833481\pi\) | |||||||
\(524\) | −3.25688 | + | 5.64108i | −0.142278 | + | 0.246432i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −24.3129 | + | 20.4010i | −1.06009 | + | 0.889524i | ||||
\(527\) | −29.2559 | + | 10.6483i | −1.27441 | + | 0.463847i | ||||
\(528\) | −11.6162 | − | 4.22797i | −0.505532 | − | 0.183999i | ||||
\(529\) | 2.21022 | + | 1.85459i | 0.0960963 | + | 0.0806344i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −41.7597 | −1.81222 | ||||||||
\(532\) | −2.46253 | − | 7.75655i | −0.106764 | − | 0.336289i | ||||
\(533\) | −10.5695 | −0.457816 | ||||||||
\(534\) | −0.587050 | + | 3.32933i | −0.0254041 | + | 0.144074i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 7.48357 | + | 2.72380i | 0.323241 | + | 0.117650i | ||||
\(537\) | 18.3648 | − | 6.68423i | 0.792498 | − | 0.288446i | ||||
\(538\) | −17.8932 | + | 15.0142i | −0.771431 | + | 0.647307i | ||||
\(539\) | −6.33470 | − | 10.9720i | −0.272855 | − | 0.472599i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.57421 | − | 14.5991i | −0.110674 | − | 0.627664i | −0.988801 | − | 0.149237i | \(-0.952318\pi\) |
0.878127 | − | 0.478427i | \(-0.158793\pi\) | |||||||
\(542\) | −3.83556 | − | 21.7525i | −0.164751 | − | 0.934351i | ||||
\(543\) | −31.7202 | + | 54.9409i | −1.36124 | + | 2.35774i | ||||
\(544\) | 2.99439 | + | 5.18644i | 0.128384 | + | 0.222367i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −17.0663 | + | 6.21161i | −0.730369 | + | 0.265833i | ||||
\(547\) | −18.2130 | − | 6.62897i | −0.778730 | − | 0.283434i | −0.0780869 | − | 0.996947i | \(-0.524881\pi\) |
−0.700643 | + | 0.713512i | \(0.747103\pi\) | |||||||
\(548\) | −15.5095 | − | 13.0140i | −0.662531 | − | 0.555929i | ||||
\(549\) | 12.5258 | − | 71.0371i | 0.534586 | − | 3.03179i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.55439 | + | 4.89607i | 0.0662193 | + | 0.208580i | ||||
\(552\) | 17.4458 | 0.742541 | ||||||||
\(553\) | 0.194905 | − | 1.10536i | 0.00828820 | − | 0.0470047i | ||||
\(554\) | 15.1772 | + | 12.7352i | 0.644818 | + | 0.541067i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.74794 | + | 1.36414i | −0.158948 | + | 0.0578523i | ||||
\(557\) | 29.2047 | − | 24.5056i | 1.23744 | − | 1.03834i | 0.239721 | − | 0.970842i | \(-0.422944\pi\) |
0.997720 | − | 0.0674946i | \(-0.0215005\pi\) | |||||||
\(558\) | 22.7644 | + | 39.4292i | 0.963695 | + | 1.66917i | ||||
\(559\) | 0.952858 | − | 1.65040i | 0.0403016 | − | 0.0698044i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −12.8555 | − | 72.9072i | −0.542760 | − | 3.07814i | ||||
\(562\) | 10.5809 | − | 18.3267i | 0.446328 | − | 0.773063i | ||||
\(563\) | 6.16458 | + | 10.6774i | 0.259806 | + | 0.449998i | 0.966190 | − | 0.257832i | \(-0.0830080\pi\) |
−0.706384 | + | 0.707829i | \(0.749675\pi\) | |||||||
\(564\) | −16.6076 | + | 13.9355i | −0.699308 | + | 0.586789i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −17.5251 | − | 6.37863i | −0.736636 | − | 0.268114i | ||||
\(567\) | −59.2482 | − | 49.7152i | −2.48819 | − | 2.08784i | ||||
\(568\) | −0.334616 | + | 1.89770i | −0.0140402 | + | 0.0796258i | ||||
\(569\) | −3.18778 | −0.133639 | −0.0668194 | − | 0.997765i | \(-0.521285\pi\) | ||||
−0.0668194 | + | 0.997765i | \(0.521285\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.67370 | 0.153740 | 0.0768698 | − | 0.997041i | \(-0.475507\pi\) | ||||
0.0768698 | + | 0.997041i | \(0.475507\pi\) | |||||||
\(572\) | −1.77595 | + | 10.0719i | −0.0742562 | + | 0.421128i | ||||
\(573\) | −49.5983 | − | 41.6179i | −2.07200 | − | 1.73861i | ||||
\(574\) | −6.53641 | − | 2.37906i | −0.272825 | − | 0.0993001i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 6.70890 | − | 5.62944i | 0.279538 | − | 0.234560i | ||||
\(577\) | −1.07552 | − | 1.86286i | −0.0447746 | − | 0.0775519i | 0.842770 | − | 0.538274i | \(-0.180924\pi\) |
−0.887544 | + | 0.460723i | \(0.847590\pi\) | |||||||
\(578\) | −9.43280 | + | 16.3381i | −0.392353 | + | 0.679575i | ||||
\(579\) | 2.90790 | + | 16.4915i | 0.120848 | + | 0.685364i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 1.77628 | − | 3.07660i | 0.0736924 | − | 0.127639i | ||||
\(582\) | 0.321571 | + | 0.556978i | 0.0133296 | + | 0.0230875i | ||||
\(583\) | 7.07424 | − | 5.93599i | 0.292985 | − | 0.245844i | ||||
\(584\) | −4.70974 | + | 1.71421i | −0.194891 | + | 0.0709344i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 22.7750 | + | 19.1105i | 0.940827 | + | 0.789447i | ||||
\(587\) | 4.95317 | − | 28.0908i | 0.204439 | − | 1.15943i | −0.693880 | − | 0.720090i | \(-0.744100\pi\) |
0.898320 | − | 0.439342i | \(-0.144788\pi\) | |||||||
\(588\) | 12.0505 | 0.496953 | ||||||||
\(589\) | 13.8303 | + | 17.9503i | 0.569868 | + | 0.739629i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −2.09442 | + | 11.8781i | −0.0861531 | + | 0.488599i | ||||
\(592\) | −2.56801 | − | 2.15482i | −0.105545 | − | 0.0885626i | ||||
\(593\) | 9.48294 | + | 3.45151i | 0.389418 | + | 0.141737i | 0.529306 | − | 0.848431i | \(-0.322452\pi\) |
−0.139889 | + | 0.990167i | \(0.544674\pi\) | |||||||
\(594\) | −66.8846 | + | 24.3440i | −2.74431 | + | 0.998847i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.81628 | − | 4.87794i | −0.115359 | − | 0.199808i | ||||
\(597\) | −1.44105 | + | 2.49598i | −0.0589784 | + | 0.102154i | ||||
\(598\) | −2.50635 | − | 14.2142i | −0.102492 | − | 0.581261i | ||||
\(599\) | 0.479831 | + | 2.72126i | 0.0196054 | + | 0.111188i | 0.993040 | − | 0.117778i | \(-0.0375770\pi\) |
−0.973435 | + | 0.228965i | \(0.926466\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.51074 | − | 14.7410i | −0.347160 | − | 0.601299i | 0.638583 | − | 0.769553i | \(-0.279521\pi\) |
−0.985744 | + | 0.168253i | \(0.946187\pi\) | |||||||
\(602\) | 0.960753 | − | 0.806167i | 0.0391574 | − | 0.0328569i | ||||
\(603\) | 65.5400 | − | 23.8546i | 2.66900 | − | 0.971435i | ||||
\(604\) | 1.16380 | + | 0.423587i | 0.0473542 | + | 0.0172355i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.16723 | − | 6.61970i | 0.0474156 | − | 0.268907i | ||||
\(607\) | 45.0807 | 1.82977 | 0.914884 | − | 0.403717i | \(-0.132282\pi\) | ||||
0.914884 | + | 0.403717i | \(0.132282\pi\) | |||||||
\(608\) | 2.93846 | − | 3.21954i | 0.119170 | − | 0.130570i | ||||
\(609\) | 7.54452 | 0.305720 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 13.7401 | + | 11.5293i | 0.555863 | + | 0.466425i | ||||
\(612\) | 49.2859 | + | 17.9386i | 1.99226 | + | 0.725124i | ||||
\(613\) | −1.15435 | + | 0.420147i | −0.0466236 | + | 0.0169696i | −0.365227 | − | 0.930919i | \(-0.619009\pi\) |
0.318603 | + | 0.947888i | \(0.396786\pi\) | |||||||
\(614\) | 3.95389 | − | 3.31770i | 0.159566 | − | 0.133892i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.36535 | + | 5.82896i | −0.135594 | + | 0.234855i | ||||
\(617\) | −4.11879 | − | 23.3588i | −0.165816 | − | 0.940392i | −0.948219 | − | 0.317618i | \(-0.897117\pi\) |
0.782402 | − | 0.622773i | \(-0.213994\pi\) | |||||||
\(618\) | 10.4225 | + | 59.1088i | 0.419254 | + | 2.37771i | ||||
\(619\) | −6.32545 | + | 10.9560i | −0.254241 | + | 0.440359i | −0.964689 | − | 0.263391i | \(-0.915159\pi\) |
0.710448 | + | 0.703750i | \(0.248492\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 76.9493 | − | 64.5681i | 3.08787 | − | 2.59103i | ||||
\(622\) | 24.4672 | − | 8.90531i | 0.981043 | − | 0.357071i | ||||
\(623\) | 1.72970 | + | 0.629559i | 0.0692990 | + | 0.0252228i | ||||
\(624\) | −7.45182 | − | 6.25282i | −0.298312 | − | 0.250313i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0.277126 | 0.0110762 | ||||||||
\(627\) | −47.7460 | + | 24.9753i | −1.90679 | + | 0.997416i | ||||
\(628\) | 21.5073 | 0.858235 | ||||||||
\(629\) | 3.48620 | − | 19.7712i | 0.139004 | − | 0.788331i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −35.9350 | − | 13.0793i | −1.43055 | − | 0.520677i | −0.493460 | − | 0.869769i | \(-0.664268\pi\) |
−0.937089 | + | 0.349091i | \(0.886490\pi\) | |||||||
\(632\) | 0.564929 | − | 0.205617i | 0.0224717 | − | 0.00817902i | ||||
\(633\) | 71.9978 | − | 60.4133i | 2.86165 | − | 2.40121i | ||||
\(634\) | 12.4639 | + | 21.5881i | 0.495005 | + | 0.857374i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 1.52526 | + | 8.65019i | 0.0604805 | + | 0.343002i | ||||
\(637\) | −1.73123 | − | 9.81830i | −0.0685939 | − | 0.389015i | ||||
\(638\) | 2.12427 | − | 3.67934i | 0.0841006 | − | 0.145667i | ||||
\(639\) | 8.43809 | + | 14.6152i | 0.333806 | + | 0.578168i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −9.64318 | + | 3.50983i | −0.380883 | + | 0.138630i | −0.525364 | − | 0.850878i | \(-0.676071\pi\) |
0.144481 | + | 0.989508i | \(0.453849\pi\) | |||||||
\(642\) | −34.1219 | − | 12.4194i | −1.34669 | − | 0.490154i | ||||
\(643\) | 11.1597 | + | 9.36407i | 0.440094 | + | 0.369283i | 0.835745 | − | 0.549118i | \(-0.185036\pi\) |
−0.395650 | + | 0.918401i | \(0.629481\pi\) | |||||||
\(644\) | 1.64946 | − | 9.35452i | 0.0649976 | − | 0.368620i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 25.4969 | + | 5.59958i | 1.00316 | + | 0.220313i | ||||
\(647\) | −4.44223 | −0.174642 | −0.0873211 | − | 0.996180i | \(-0.527831\pi\) | ||||
−0.0873211 | + | 0.996180i | \(0.527831\pi\) | |||||||
\(648\) | 7.19362 | − | 40.7970i | 0.282592 | − | 1.60266i | ||||
\(649\) | 13.1683 | + | 11.0495i | 0.516900 | + | 0.433731i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 31.2740 | − | 11.3828i | 1.22572 | − | 0.446127i | ||||
\(652\) | −13.8049 | + | 11.5837i | −0.540641 | + | 0.453652i | ||||
\(653\) | 9.72417 | + | 16.8427i | 0.380536 | + | 0.659108i | 0.991139 | − | 0.132829i | \(-0.0424062\pi\) |
−0.610603 | + | 0.791937i | \(0.709073\pi\) | |||||||
\(654\) | −23.7891 | + | 41.2039i | −0.930227 | + | 1.61120i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −0.646964 | − | 3.66911i | −0.0252597 | − | 0.143255i | ||||
\(657\) | −21.9472 | + | 38.0137i | −0.856242 | + | 1.48305i | ||||
\(658\) | 5.90207 | + | 10.2227i | 0.230087 | + | 0.398522i | ||||
\(659\) | 9.54535 | − | 8.00950i | 0.371834 | − | 0.312006i | −0.437652 | − | 0.899144i | \(-0.644190\pi\) |
0.809487 | + | 0.587138i | \(0.199746\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.75350 | − | 2.82204i | −0.301576 | − | 0.109765i | 0.186800 | − | 0.982398i | \(-0.440188\pi\) |
−0.488376 | + | 0.872633i | \(0.662411\pi\) | |||||||
\(662\) | −8.19432 | − | 6.87585i | −0.318481 | − | 0.267238i | ||||
\(663\) | 10.1162 | − | 57.3719i | 0.392881 | − | 2.22814i | ||||
\(664\) | 1.90282 | 0.0738436 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −29.3590 | −1.13764 | ||||||||
\(667\) | −1.04117 | + | 5.90475i | −0.0403141 | + | 0.228633i | ||||
\(668\) | 8.35666 | + | 7.01207i | 0.323329 | + | 0.271305i | ||||
\(669\) | 36.8461 | + | 13.4109i | 1.42455 | + | 0.518495i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −22.7461 | + | 19.0862i | −0.878102 | + | 0.736815i | ||||
\(672\) | −3.20094 | − | 5.54420i | −0.123479 | − | 0.213872i | ||||
\(673\) | −0.616571 | + | 1.06793i | −0.0237671 | + | 0.0411658i | −0.877664 | − | 0.479276i | \(-0.840899\pi\) |
0.853897 | + | 0.520442i | \(0.174233\pi\) | |||||||
\(674\) | 0.791472 | + | 4.48866i | 0.0304864 | + | 0.172897i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 2.47599 | − | 4.28854i | 0.0952303 | − | 0.164944i | ||||
\(677\) | −8.92630 | − | 15.4608i | −0.343065 | − | 0.594207i | 0.641935 | − | 0.766759i | \(-0.278132\pi\) |
−0.985000 | + | 0.172552i | \(0.944799\pi\) | |||||||
\(678\) | −41.8591 | + | 35.1239i | −1.60759 | + | 1.34893i | ||||
\(679\) | 0.329059 | − | 0.119768i | 0.0126281 | − | 0.00459626i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 41.0176 | + | 34.4178i | 1.57180 | + | 1.31889i | ||||
\(682\) | 3.25443 | − | 18.4568i | 0.124619 | − | 0.706748i | ||||
\(683\) | −27.7712 | −1.06264 | −0.531318 | − | 0.847173i | \(-0.678303\pi\) | ||||
−0.531318 | + | 0.847173i | \(0.678303\pi\) | |||||||
\(684\) | 1.58963 | − | 38.1415i | 0.0607812 | − | 1.45838i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 3.40875 | − | 19.3320i | 0.130147 | − | 0.738099i | ||||
\(687\) | −14.4472 | − | 12.1226i | −0.551194 | − | 0.462507i | ||||
\(688\) | 0.631247 | + | 0.229755i | 0.0240661 | + | 0.00875933i | ||||
\(689\) | 6.82874 | − | 2.48546i | 0.260154 | − | 0.0946884i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −21.3398 | − | 36.9617i | −0.811805 | − | 1.40609i | −0.911600 | − | 0.411079i | \(-0.865152\pi\) |
0.0997945 | − | 0.995008i | \(-0.468181\pi\) | |||||||
\(692\) | 0.0729511 | − | 0.126355i | 0.00277319 | − | 0.00480330i | ||||
\(693\) | 10.2359 | + | 58.0509i | 0.388831 | + | 2.20517i | ||||
\(694\) | −3.62801 | − | 20.5755i | −0.137717 | − | 0.781033i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 2.02049 | + | 3.49960i | 0.0765866 | + | 0.132652i | ||||
\(697\) | 17.0924 | − | 14.3422i | 0.647420 | − | 0.543250i | ||||
\(698\) | 10.6038 | − | 3.85948i | 0.401361 | − | 0.146083i | ||||
\(699\) | 36.5028 | + | 13.2859i | 1.38066 | + | 0.502520i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.91944 | + | 39.2421i | −0.261344 | + | 1.48215i | 0.517905 | + | 0.855438i | \(0.326712\pi\) |
−0.779249 | + | 0.626715i | \(0.784399\pi\) | |||||||
\(702\) | −56.0104 | −2.11398 | ||||||||
\(703\) | −14.4835 | + | 1.93598i | −0.546257 | + | 0.0730168i | ||||
\(704\) | −3.60509 | −0.135872 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.29370 | + | 5.28104i | 0.236866 | + | 0.198754i | ||||
\(707\) | −3.43916 | − | 1.25175i | −0.129343 | − | 0.0470770i | ||||
\(708\) | −15.3642 | + | 5.59210i | −0.577421 | + | 0.210164i | ||||
\(709\) | 36.8093 | − | 30.8866i | 1.38240 | − | 1.15997i | 0.414086 | − | 0.910238i | \(-0.364101\pi\) |
0.968314 | − | 0.249734i | \(-0.0803433\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.63255 | − | 4.55970i | 0.0987282 | − | 0.171002i | ||||
\(712\) | 0.171203 | + | 0.970940i | 0.00641610 | + | 0.0363875i | ||||
\(713\) | 4.59288 | + | 26.0475i | 0.172005 | + | 0.975488i | ||||
\(714\) | 19.1698 | − | 33.2030i | 0.717411 | − | 1.24259i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 4.36606 | − | 3.66356i | 0.163167 | − | 0.136914i | ||||
\(717\) | 4.77959 | − | 1.73963i | 0.178497 | − | 0.0649676i | ||||
\(718\) | 10.1008 | + | 3.67640i | 0.376960 | + | 0.137202i | ||||
\(719\) | −23.2680 | − | 19.5242i | −0.867749 | − | 0.728128i | 0.0958738 | − | 0.995393i | \(-0.469435\pi\) |
−0.963623 | + | 0.267266i | \(0.913880\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 32.6799 | 1.21706 | ||||||||
\(722\) | −1.73090 | − | 18.9210i | −0.0644175 | − | 0.704166i | ||||
\(723\) | 28.8690 | 1.07365 | ||||||||
\(724\) | −3.21271 | + | 18.2202i | −0.119399 | + | 0.677148i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.43360 | + | 2.34164i | 0.238773 | + | 0.0869064i | ||||
\(727\) | −28.7236 | + | 10.4545i | −1.06530 | + | 0.387737i | −0.814417 | − | 0.580280i | \(-0.802943\pi\) |
−0.250883 | + | 0.968018i | \(0.580721\pi\) | |||||||
\(728\) | −4.05735 | + | 3.40452i | −0.150376 | + | 0.126180i | ||||
\(729\) | −79.8532 | − | 138.310i | −2.95753 | − | 5.12259i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 0.698590 | + | 3.96190i | 0.0258383 | + | 0.146536i | ||||
\(732\) | −4.90422 | − | 27.8132i | −0.181265 | − | 1.02801i | ||||
\(733\) | −21.9999 | + | 38.1050i | −0.812586 | + | 1.40744i | 0.0984629 | + | 0.995141i | \(0.468607\pi\) |
−0.911049 | + | 0.412299i | \(0.864726\pi\) | |||||||
\(734\) | −7.47389 | − | 12.9452i | −0.275866 | − | 0.477815i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 4.78092 | − | 1.74011i | 0.176227 | − | 0.0641415i | ||||
\(737\) | −26.9789 | − | 9.81953i | −0.993782 | − | 0.361707i | ||||
\(738\) | −24.9955 | − | 20.9737i | −0.920096 | − | 0.772052i | ||||
\(739\) | 5.08815 | − | 28.8563i | 0.187171 | − | 1.06150i | −0.735964 | − | 0.677020i | \(-0.763271\pi\) |
0.923135 | − | 0.384476i | \(-0.125618\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −42.0281 | + | 5.61779i | −1.54394 | + | 0.206375i | ||||
\(742\) | 4.78249 | 0.175571 | ||||||||
\(743\) | −2.27875 | + | 12.9235i | −0.0835994 | + | 0.474116i | 0.914051 | + | 0.405600i | \(0.132937\pi\) |
−0.997650 | + | 0.0685156i | \(0.978174\pi\) | |||||||
\(744\) | 13.6555 | + | 11.4583i | 0.500635 | + | 0.420082i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 8.19625 | − | 2.98319i | 0.300086 | − | 0.109222i | ||||
\(747\) | 12.7658 | − | 10.7118i | 0.467076 | − | 0.391924i | ||||
\(748\) | −10.7951 | − | 18.6976i | −0.394706 | − | 0.683651i | ||||
\(749\) | −9.88549 | + | 17.1222i | −0.361208 | + | 0.625631i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.47466 | + | 19.7058i | 0.126792 | + | 0.719074i | 0.980227 | + | 0.197875i | \(0.0634040\pi\) |
−0.853435 | + | 0.521199i | \(0.825485\pi\) | |||||||
\(752\) | −3.16126 | + | 5.47546i | −0.115279 | + | 0.199670i | ||||
\(753\) | 19.0150 | + | 32.9349i | 0.692945 | + | 1.20022i | ||||
\(754\) | 2.56107 | − | 2.14900i | 0.0932688 | − | 0.0782618i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −34.6381 | − | 12.6072i | −1.25978 | − | 0.458521i | ||||
\(757\) | 27.9516 | + | 23.4542i | 1.01592 | + | 0.852458i | 0.989109 | − | 0.147183i | \(-0.0470205\pi\) |
0.0268104 | + | 0.999641i | \(0.491465\pi\) | |||||||
\(758\) | 2.76394 | − | 15.6751i | 0.100391 | − | 0.569345i | ||||
\(759\) | −62.8935 | −2.28289 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 3.91470 | 0.141908 | 0.0709540 | − | 0.997480i | \(-0.477396\pi\) | ||||
0.0709540 | + | 0.997480i | \(0.477396\pi\) | |||||||
\(762\) | −10.0117 | + | 56.7789i | −0.362684 | + | 2.05688i | ||||
\(763\) | 19.8446 | + | 16.6516i | 0.718422 | + | 0.602828i | ||||
\(764\) | −17.7433 | − | 6.45804i | −0.641931 | − | 0.233644i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.33589 | − | 1.12094i | 0.0482676 | − | 0.0405013i | ||||
\(767\) | 6.76354 | + | 11.7148i | 0.244217 | + | 0.422997i | ||||
\(768\) | 1.71449 | − | 2.96958i | 0.0618662 | − | 0.107155i | ||||
\(769\) | −3.94857 | − | 22.3935i | −0.142389 | − | 0.807530i | −0.969426 | − | 0.245382i | \(-0.921087\pi\) |
0.827037 | − | 0.562147i | \(-0.190025\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −19.6902 | + | 34.1044i | −0.709125 | + | 1.22824i | ||||
\(772\) | 2.44183 | + | 4.22937i | 0.0878834 | + | 0.152218i | ||||
\(773\) | −16.7478 | + | 14.0531i | −0.602377 | + | 0.505454i | −0.892209 | − | 0.451623i | \(-0.850845\pi\) |
0.289832 | + | 0.957078i | \(0.406401\pi\) | |||||||
\(774\) | 5.52837 | − | 2.01216i | 0.198713 | − | 0.0723256i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0.143680 | + | 0.120562i | 0.00515782 | + | 0.00432793i | ||||
\(777\) | −3.72668 | + | 21.1350i | −0.133694 | + | 0.758216i | ||||
\(778\) | 32.4754 | 1.16430 | ||||||||
\(779\) | −13.7139 | − | 8.69862i | −0.491353 | − | 0.311660i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.20632 | − | 6.84138i | 0.0431655 | − | 0.244804i | ||||
\(782\) | 23.3410 | + | 19.5854i | 0.834672 | + | 0.700373i | ||||
\(783\) | 21.8642 | + | 7.95792i | 0.781363 | + | 0.284393i | ||||
\(784\) | 3.30237 | − | 1.20197i | 0.117942 | − | 0.0429273i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 11.1678 | + | 19.3431i | 0.398341 | + | 0.689946i | ||||
\(787\) | −15.0675 | + | 26.0977i | −0.537098 | + | 0.930282i | 0.461960 | + | 0.886901i | \(0.347146\pi\) |
−0.999059 | + | 0.0433810i | \(0.986187\pi\) | |||||||
\(788\) | 0.610802 | + | 3.46403i | 0.0217589 | + | 0.123401i | ||||
\(789\) | 18.8981 | + | 107.176i | 0.672789 | + | 3.81558i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 14.8760 | + | 25.7660i | 0.528929 | + | 0.916133i | ||||
\(792\) | −24.1862 | + | 20.2946i | −0.859419 | + | 0.721138i | ||||
\(793\) | −21.9567 | + | 7.99158i | −0.779704 | + | 0.283789i | ||||
\(794\) | −3.85771 | − | 1.40409i | −0.136905 | − | 0.0498294i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −0.145954 | + | 0.827747i | −0.00517321 | + | 0.0293387i | ||||
\(797\) | 19.4641 | 0.689456 | 0.344728 | − | 0.938703i | \(-0.387971\pi\) | ||||
0.344728 | + | 0.938703i | \(0.387971\pi\) | |||||||
\(798\) | −27.2556 | − | 5.98583i | −0.964839 | − | 0.211896i | ||||
\(799\) | −37.8642 | −1.33954 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 6.61443 | + | 5.55016i | 0.233709 | + | 0.196105i | ||||
\(802\) | −29.3175 | − | 10.6707i | −1.03524 | − | 0.376796i | ||||
\(803\) | 16.9790 | − | 6.17987i | 0.599177 | − | 0.218083i | ||||
\(804\) | 20.9190 | − | 17.5531i | 0.737757 | − | 0.619051i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 7.37401 | − | 12.7722i | 0.259739 | − | 0.449880i | ||||
\(807\) | 13.9081 | + | 78.8769i | 0.489589 | + | 2.77660i | ||||
\(808\) | −0.340403 | − | 1.93052i | −0.0119753 | − | 0.0679155i | ||||
\(809\) | 20.1616 | − | 34.9209i | 0.708844 | − | 1.22775i | −0.256443 | − | 0.966559i | \(-0.582550\pi\) |
0.965286 | − | 0.261194i | \(-0.0841162\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −14.7737 | + | 12.3966i | −0.518775 | + | 0.435304i | −0.864204 | − | 0.503141i | \(-0.832178\pi\) |
0.345430 | + | 0.938445i | \(0.387733\pi\) | |||||||
\(812\) | 2.06754 | − | 0.752523i | 0.0725564 | − | 0.0264084i | ||||
\(813\) | −71.1718 | − | 25.9044i | −2.49611 | − | 0.908508i | ||||
\(814\) | 9.25792 | + | 7.76832i | 0.324490 | + | 0.272279i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 20.5354 | 0.718883 | ||||||||
\(817\) | 2.59460 | − | 1.35720i | 0.0907736 | − | 0.0474824i | ||||
\(818\) | 8.77338 | 0.306754 | ||||||||
\(819\) | −8.05483 | + | 45.6812i | −0.281459 | + | 1.59623i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −39.3911 | − | 14.3372i | −1.37476 | − | 0.500372i | −0.454175 | − | 0.890913i | \(-0.650066\pi\) |
−0.920586 | + | 0.390541i | \(0.872288\pi\) | |||||||
\(822\) | −65.2367 | + | 23.7442i | −2.27539 | + | 0.828175i | ||||
\(823\) | −18.3273 | + | 15.3785i | −0.638851 | + | 0.536059i | −0.903665 | − | 0.428240i | \(-0.859134\pi\) |
0.264814 | + | 0.964299i | \(0.414689\pi\) | |||||||
\(824\) | 8.75199 | + | 15.1589i | 0.304890 | + | 0.528085i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.54587 | + | 8.76708i | 0.0537878 | + | 0.305046i | ||||
\(827\) | −4.27216 | − | 24.2286i | −0.148557 | − | 0.842511i | −0.964442 | − | 0.264296i | \(-0.914861\pi\) |
0.815884 | − | 0.578215i | \(-0.196251\pi\) | |||||||
\(828\) | 22.2789 | − | 38.5882i | 0.774245 | − | 1.34103i | ||||
\(829\) | 17.5981 | + | 30.4809i | 0.611209 | + | 1.05865i | 0.991037 | + | 0.133588i | \(0.0426498\pi\) |
−0.379828 | + | 0.925057i | \(0.624017\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 63.8393 | − | 23.2356i | 2.21456 | − | 0.806034i | ||||
\(832\) | −2.66582 | − | 0.970278i | −0.0924206 | − | 0.0336383i | ||||
\(833\) | 16.1225 | + | 13.5284i | 0.558613 | + | 0.468732i | ||||
\(834\) | −2.37487 | + | 13.4686i | −0.0822352 | + | 0.466379i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −10.5934 | + | 11.6067i | −0.366381 | + | 0.401427i | ||||
\(837\) | 102.639 | 3.54773 | ||||||||
\(838\) | −1.06490 | + | 6.03935i | −0.0367864 | + | 0.208626i | ||||
\(839\) | −18.3065 | − | 15.3610i | −0.632010 | − | 0.530319i | 0.269543 | − | 0.962988i | \(-0.413127\pi\) |
−0.901553 | + | 0.432669i | \(0.857572\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 25.9460 | − | 9.44358i | 0.894690 | − | 0.325641i | ||||
\(842\) | −2.93864 | + | 2.46581i | −0.101272 | + | 0.0849774i | ||||
\(843\) | −36.2816 | − | 62.8416i | −1.24960 | − | 2.16438i | ||||
\(844\) | 13.7047 | − | 23.7373i | 0.471737 | − | 0.817072i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 9.61519 | + | 54.5305i | 0.330577 | + | 1.87480i | ||||
\(847\) | 1.86388 | − | 3.22834i | 0.0640438 | − | 0.110927i | ||||
\(848\) | 1.28080 | + | 2.21840i | 0.0439827 | + | 0.0761803i | ||||
\(849\) | −48.9884 | + | 41.1062i | −1.68128 | + | 1.41076i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −16.0271 | − | 5.83339i | −0.549403 | − | 0.199966i | ||||
\(852\) | 5.06168 | + | 4.24725i | 0.173410 | + | 0.145508i | ||||
\(853\) | −4.53551 | + | 25.7222i | −0.155293 | + | 0.880710i | 0.803225 | + | 0.595676i | \(0.203116\pi\) |
−0.958517 | + | 0.285034i | \(0.907995\pi\) | |||||||
\(854\) | −15.3773 | −0.526201 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −10.5897 | −0.361949 | ||||||||
\(857\) | 8.53842 | − | 48.4238i | 0.291667 | − | 1.65412i | −0.388783 | − | 0.921329i | \(-0.627104\pi\) |
0.680449 | − | 0.732795i | \(-0.261785\pi\) | |||||||
\(858\) | 26.8645 | + | 22.5420i | 0.917138 | + | 0.769570i | ||||
\(859\) | 13.6388 | + | 4.96410i | 0.465348 | + | 0.169373i | 0.564044 | − | 0.825745i | \(-0.309245\pi\) |
−0.0986958 | + | 0.995118i | \(0.531467\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −18.2714 | + | 15.3315i | −0.622688 | + | 0.522497i | ||||
\(862\) | 12.7927 | + | 22.1577i | 0.435723 | + | 0.754694i | ||||
\(863\) | −5.45178 | + | 9.44276i | −0.185581 | + | 0.321435i | −0.943772 | − | 0.330597i | \(-0.892750\pi\) |
0.758191 | + | 0.652032i | \(0.226083\pi\) | |||||||
\(864\) | −3.42843 | − | 19.4436i | −0.116637 | − | 0.661484i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 14.2318 | − | 24.6502i | 0.483617 | − | 0.837649i | ||||
\(867\) | 32.3448 | + | 56.0228i | 1.09849 | + | 1.90264i | ||||
\(868\) | 7.43511 | − | 6.23880i | 0.252364 | − | 0.211759i | ||||
\(869\) | −2.03662 | + | 0.741269i | −0.0690876 | + | 0.0251458i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −17.3070 | − | 14.5223i | −0.586425 | − | 0.492069i | ||||
\(872\) | −2.40943 | + | 13.6646i | −0.0815936 | + | 0.462740i | ||||
\(873\) | 1.64263 | 0.0555948 | ||||||||
\(874\) | 8.44619 | − | 20.5056i | 0.285696 | − | 0.693614i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −2.98432 | + | 16.9249i | −0.100831 | + | 0.571840i | ||||
\(877\) | −8.61676 | − | 7.23032i | −0.290967 | − | 0.244150i | 0.485606 | − | 0.874178i | \(-0.338599\pi\) |
−0.776573 | + | 0.630028i | \(0.783044\pi\) | |||||||
\(878\) | −35.8069 | − | 13.0326i | −1.20842 | − | 0.439830i | ||||
\(879\) | 95.7975 | − | 34.8675i | 3.23117 | − | 1.17605i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 4.90996 | + | 8.50431i | 0.165421 | + | 0.286517i | 0.936805 | − | 0.349853i | \(-0.113768\pi\) |
−0.771384 | + | 0.636370i | \(0.780435\pi\) | |||||||
\(882\) | 15.3889 | − | 26.6544i | 0.518172 | − | 0.897500i | ||||
\(883\) | −5.28801 | − | 29.9898i | −0.177956 | − | 1.00924i | −0.934677 | − | 0.355499i | \(-0.884311\pi\) |
0.756721 | − | 0.653738i | \(-0.226800\pi\) | |||||||
\(884\) | −2.95022 | − | 16.7315i | −0.0992265 | − | 0.562742i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 11.3892 | + | 19.7267i | 0.382629 | + | 0.662733i | ||||
\(887\) | −9.42994 | + | 7.91266i | −0.316627 | + | 0.265681i | −0.787224 | − | 0.616667i | \(-0.788483\pi\) |
0.470598 | + | 0.882348i | \(0.344038\pi\) | |||||||
\(888\) | −10.8017 | + | 3.93151i | −0.362482 | + | 0.131933i | ||||
\(889\) | 29.4986 | + | 10.7366i | 0.989352 | + | 0.360095i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −25.9336 | + | 147.077i | −0.868810 | + | 4.92726i | ||||
\(892\) | 11.4351 | 0.382877 | ||||||||
\(893\) | 8.33924 | + | 26.2672i | 0.279062 | + | 0.879000i | ||||
\(894\) | −19.3139 | −0.645953 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −1.43020 | − | 1.20008i | −0.0477798 | − | 0.0400920i | ||||
\(897\) | −46.5072 | − | 16.9272i | −1.55283 | − | 0.565184i | ||||
\(898\) | 29.3016 | − | 10.6649i | 0.977807 | − | 0.355893i | ||||
\(899\) | −4.69318 | + | 3.93804i | −0.156526 | + | 0.131341i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −7.67042 | + | 13.2856i | −0.255539 | + | 0.442606i | ||||
\(902\) | 2.33236 | + | 13.2275i | 0.0776591 | + | 0.440427i | ||||
\(903\) | −0.746778 | − | 4.23519i | −0.0248512 | − | 0.140938i | ||||
\(904\) | −7.96786 | + | 13.8007i | −0.265007 | + | 0.459006i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 3.25318 | − | 2.72975i | 0.108080 | − | 0.0906897i | ||||
\(907\) | −38.3564 | + | 13.9606i | −1.27360 | + | 0.463554i | −0.888312 | − | 0.459241i | \(-0.848121\pi\) |
−0.385292 | + | 0.922795i | \(0.625899\pi\) | |||||||
\(908\) | 14.6736 | + | 5.34077i | 0.486962 | + | 0.177240i | ||||
\(909\) | −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 | \(0.491665\pi\) | |||||||
\(912\) | −4.52273 | − | 14.2458i | −0.149763 | − | 0.471727i | ||||
\(913\) | −6.85982 | −0.227027 | ||||||||
\(914\) | 2.27149 | − | 12.8822i | 0.0751341 | − | 0.426107i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −5.16834 | − | 1.88112i | −0.170767 | − | 0.0621540i | ||||
\(917\) | 11.4278 | − | 4.15937i | 0.377379 | − | 0.137355i | ||||
\(918\) | 90.5769 | − | 76.0030i | 2.98948 | − | 2.50847i | ||||
\(919\) | 23.8891 | + | 41.3772i | 0.788029 | + | 1.36491i | 0.927172 | + | 0.374635i | \(0.122232\pi\) |
−0.139143 | + | 0.990272i | \(0.544435\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.07330 | − | 17.4295i | −0.101269 | − | 0.574322i | ||||
\(922\) | 3.16401 | + | 17.9440i | 0.104201 | + | 0.590953i | ||||
\(923\) | 2.73332 | − | 4.73425i | 0.0899684 | − | 0.155830i | ||||
\(924\) | 11.5397 | + | 19.9873i | 0.379628 | + | 0.657535i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −21.6204 | + | 7.86919i | −0.710492 | + | 0.258598i | ||||
\(927\) | 144.052 | + | 52.4307i | 4.73130 | + | 1.72205i | ||||
\(928\) | 0.902771 | + | 0.757515i | 0.0296349 | + | 0.0248666i | ||||
\(929\) | −8.32760 | + | 47.2282i | −0.273220 | + | 1.54951i | 0.471341 | + | 0.881951i | \(0.343770\pi\) |
−0.744561 | + | 0.667555i | \(0.767341\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.83411 | − | 14.1641i | 0.191205 | − | 0.464208i | ||||
\(932\) | 11.3286 | 0.371081 | ||||||||
\(933\) | 15.5036 | − | 87.9251i | 0.507564 | − | 2.87854i | ||||
\(934\) | 19.1917 | + | 16.1038i | 0.627973 | + | 0.526932i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −23.3468 | + | 8.49755i | −0.763115 | + | 0.277751i | ||||
\(937\) | −29.1684 | + | 24.4752i | −0.952890 | + | 0.799570i | −0.979782 | − | 0.200068i | \(-0.935884\pi\) |
0.0268915 | + | 0.999638i | \(0.491439\pi\) | |||||||
\(938\) | −7.43425 | − | 12.8765i | −0.242737 | − | 0.420433i | ||||
\(939\) | 0.475128 | − | 0.822946i | 0.0155052 | − | 0.0268558i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −6.81969 | − | 38.6764i | −0.222315 | − | 1.26081i | −0.867751 | − | 0.496999i | \(-0.834435\pi\) |
0.645436 | − | 0.763815i | \(-0.276676\pi\) | |||||||
\(942\) | 36.8740 | − | 63.8676i | 1.20142 | − | 2.08092i | ||||
\(943\) | −9.47776 | − | 16.4160i | −0.308638 | − | 0.534577i | ||||
\(944\) | −3.65269 | + | 3.06497i | −0.118885 | + | 0.0997564i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.27570 | − | 0.828287i | −0.0739894 | − | 0.0269299i | ||||
\(947\) | 5.48561 | + | 4.60297i | 0.178258 | + | 0.149577i | 0.727551 | − | 0.686053i | \(-0.240658\pi\) |
−0.549293 | + | 0.835630i | \(0.685103\pi\) | |||||||
\(948\) | 0.357967 | − | 2.03013i | 0.0116262 | − | 0.0659355i | ||||
\(949\) | 14.2186 | 0.461555 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 85.4768 | 2.77178 | ||||||||
\(952\) | 1.94157 | − | 11.0112i | 0.0629267 | − | 0.356875i | ||||
\(953\) | 25.4580 | + | 21.3618i | 0.824667 | + | 0.691977i | 0.954060 | − | 0.299616i | \(-0.0968586\pi\) |
−0.129393 | + | 0.991593i | \(0.541303\pi\) | |||||||
\(954\) | 21.0811 | + | 7.67290i | 0.682526 | + | 0.248419i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 1.13631 | − | 0.953473i | 0.0367507 | − | 0.0308375i | ||||
\(957\) | −7.28406 | − | 12.6164i | −0.235460 | − | 0.407829i | ||||
\(958\) | −10.8316 | + | 18.7608i | −0.349952 | + | 0.606135i | ||||
\(959\) | 6.56382 | + | 37.2253i | 0.211957 | + | 1.20207i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 1.98710 | − | 3.44176i | 0.0641000 | − | 0.111024i | ||||
\(962\) | 4.75508 | + | 8.23605i | 0.153310 | + | 0.265541i | ||||
\(963\) | −71.0453 | + | 59.6141i | −2.28940 | + | 1.92104i | ||||
\(964\) | 7.91140 | − | 2.87951i | 0.254809 | − | 0.0927429i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −24.9510 | − | 20.9364i | −0.802786 | − | 0.673617i | ||||
\(967\) | 4.38031 | − | 24.8420i | 0.140861 | − | 0.798864i | −0.829736 | − | 0.558156i | \(-0.811509\pi\) |
0.970597 | − | 0.240708i | \(-0.0773798\pi\) | |||||||
\(968\) | 1.99666 | 0.0641751 | ||||||||
\(969\) | 60.3424 | − | 66.1146i | 1.93848 | − | 2.12391i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 7.59334 | − | 43.0640i | 0.243682 | − | 1.38199i | −0.579852 | − | 0.814722i | \(-0.696890\pi\) |
0.823534 | − | 0.567267i | \(-0.191999\pi\) | |||||||
\(972\) | −63.4434 | − | 53.2353i | −2.03495 | − | 1.70752i | ||||
\(973\) | 6.99739 | + | 2.54684i | 0.224326 | + | 0.0816481i | ||||
\(974\) | −3.12479 | + | 1.13733i | −0.100125 | + | 0.0364424i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.11819 | − | 7.13291i | −0.131820 | − | 0.228319i | ||||
\(977\) | −0.00239184 | + | 0.00414279i | −7.65217e−5 | + | 0.000132539i | −0.866064 | − | 0.499934i | \(-0.833358\pi\) |
0.865987 | + | 0.500066i | \(0.166691\pi\) | |||||||
\(978\) | 10.7303 | + | 60.8548i | 0.343118 | + | 1.94592i | ||||
\(979\) | −0.617201 | − | 3.50032i | −0.0197258 | − | 0.111871i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 60.7591 | + | 105.238i | 1.93989 | + | 3.35999i | ||||
\(982\) | −3.86014 | + | 3.23904i | −0.123182 | + | 0.103362i | ||||
\(983\) | 34.7535 | − | 12.6492i | 1.10846 | − | 0.403448i | 0.278034 | − | 0.960571i | \(-0.410317\pi\) |
0.830430 | + | 0.557123i | \(0.188095\pi\) | |||||||
\(984\) | −12.0049 | − | 4.36943i | −0.382703 | − | 0.139292i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −1.22556 | + | 6.95047i | −0.0390296 | + | 0.221348i | ||||
\(987\) | 40.4761 | 1.28837 | ||||||||
\(988\) | −10.9573 | + | 5.73159i | −0.348597 | + | 0.182346i | ||||
\(989\) | 3.41774 | 0.108678 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.48081 | − | 3.75985i | −0.142338 | − | 0.119435i | 0.568839 | − | 0.822449i | \(-0.307393\pi\) |
−0.711176 | + | 0.703014i | \(0.751837\pi\) | |||||||
\(992\) | 4.88512 | + | 1.77804i | 0.155103 | + | 0.0564528i | ||||
\(993\) | −34.4674 | + | 12.5451i | −1.09379 | + | 0.398107i | ||||
\(994\) | 2.75597 | − | 2.31253i | 0.0874141 | − | 0.0733491i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 3.26235 | − | 5.65056i | 0.103372 | − | 0.179045i | ||||
\(997\) | 10.0610 | + | 57.0588i | 0.318635 | + | 1.80707i | 0.551072 | + | 0.834458i | \(0.314219\pi\) |
−0.232437 | + | 0.972612i | \(0.574670\pi\) | |||||||
\(998\) | −1.77791 | − | 10.0831i | −0.0562789 | − | 0.319174i | ||||
\(999\) | −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.l.i.701.1 | 18 | ||
5.2 | odd | 4 | 950.2.u.g.549.4 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.549.3 | 36 | |||
5.4 | even | 2 | 190.2.k.d.131.3 | ✓ | 18 | ||
19.9 | even | 9 | inner | 950.2.l.i.351.1 | 18 | ||
95.9 | even | 18 | 190.2.k.d.161.3 | yes | 18 | ||
95.28 | odd | 36 | 950.2.u.g.199.4 | 36 | |||
95.47 | odd | 36 | 950.2.u.g.199.3 | 36 | |||
95.54 | even | 18 | 3610.2.a.bi.1.9 | 9 | |||
95.79 | odd | 18 | 3610.2.a.bj.1.1 | 9 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.131.3 | ✓ | 18 | 5.4 | even | 2 | ||
190.2.k.d.161.3 | yes | 18 | 95.9 | even | 18 | ||
950.2.l.i.351.1 | 18 | 19.9 | even | 9 | inner | ||
950.2.l.i.701.1 | 18 | 1.1 | even | 1 | trivial | ||
950.2.u.g.199.3 | 36 | 95.47 | odd | 36 | |||
950.2.u.g.199.4 | 36 | 95.28 | odd | 36 | |||
950.2.u.g.549.3 | 36 | 5.3 | odd | 4 | |||
950.2.u.g.549.4 | 36 | 5.2 | odd | 4 | |||
3610.2.a.bi.1.9 | 9 | 95.54 | even | 18 | |||
3610.2.a.bj.1.1 | 9 | 95.79 | odd | 18 |