Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(61,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("190.61");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.k (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: | \(1.51715763840\) |
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: | \( x^{18} + 24 x^{16} - 12 x^{15} + 393 x^{14} - 222 x^{13} + 3518 x^{12} - 2478 x^{11} + 22809 x^{10} - 12862 x^{9} + 77397 x^{8} - 24822 x^{7} + 178501 x^{6} - 39408 x^{5} + \cdots + 64 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 161.3 | ||
Root | \(-1.71449 - 2.96958i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.161 |
Dual form | 190.2.k.d.131.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(1\) |
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 | 0.666966 | − | 0.745088i | \(-0.267593\pi\) |
0.849586 | − | 0.527450i | \(-0.176852\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −0.939693 | − | 0.342020i | −0.420243 | − | 0.152956i | ||||
\(6\) | −2.62675 | − | 2.20410i | −1.07236 | − | 0.899820i | ||||
\(7\) | −0.933500 | + | 1.61687i | −0.352830 | + | 0.611119i | −0.986744 | − | 0.162284i | \(-0.948114\pi\) |
0.633914 | + | 0.773403i | \(0.281447\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 1.52078 | − | 8.62480i | 0.506928 | − | 2.87493i | ||||
\(10\) | −0.173648 | + | 0.984808i | −0.0549124 | + | 0.311424i | ||||
\(11\) | 1.80254 | + | 3.12210i | 0.543488 | + | 0.941348i | 0.998700 | + | 0.0509654i | \(0.0162298\pi\) |
−0.455213 | + | 0.890383i | \(0.650437\pi\) | |||||||
\(12\) | −1.71449 | + | 2.96958i | −0.494930 | + | 0.857243i | ||||
\(13\) | −2.17319 | − | 1.82353i | −0.602736 | − | 0.505755i | 0.289588 | − | 0.957151i | \(-0.406482\pi\) |
−0.892324 | + | 0.451396i | \(0.850926\pi\) | |||||||
\(14\) | 1.75441 | + | 0.638551i | 0.468885 | + | 0.170660i | ||||
\(15\) | −3.22218 | + | 1.17278i | −0.831963 | + | 0.302810i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 1.03994 | + | 5.89781i | 0.252223 | + | 1.43043i | 0.803101 | + | 0.595842i | \(0.203182\pi\) |
−0.550878 | + | 0.834586i | \(0.685707\pi\) | |||||||
\(18\) | −8.75785 | −2.06425 | ||||||||
\(19\) | 4.32047 | + | 0.577506i | 0.991184 | + | 0.132489i | ||||
\(20\) | 1.00000 | 0.223607 | ||||||||
\(21\) | 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 | \(-0.789082\pi\) |
−0.208507 | + | 0.978021i | \(0.566860\pi\) | |||||||
\(24\) | 3.22218 | + | 1.17278i | 0.657725 | + | 0.239392i | ||||
\(25\) | 0.766044 | + | 0.642788i | 0.153209 | + | 0.128558i | ||||
\(26\) | −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 | −0.959894 | − | 0.280363i | \(-0.909545\pi\) |
0.997895 | + | 0.0648484i | \(0.0206564\pi\) | |||||||
\(30\) | 1.71449 | + | 2.96958i | 0.313021 | + | 0.542168i | ||||
\(31\) | 2.59932 | − | 4.50215i | 0.466851 | − | 0.808610i | −0.532432 | − | 0.846473i | \(-0.678722\pi\) |
0.999283 | + | 0.0378630i | \(0.0120550\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | 11.6162 | + | 4.22797i | 2.02213 | + | 0.735995i | ||||
\(34\) | 5.62762 | − | 2.04829i | 0.965129 | − | 0.351278i | ||||
\(35\) | 1.43020 | − | 1.20008i | 0.241749 | − | 0.202851i | ||||
\(36\) | 1.52078 | + | 8.62480i | 0.253464 | + | 1.43747i | ||||
\(37\) | 3.35231 | 0.551116 | 0.275558 | − | 0.961285i | \(-0.411137\pi\) | ||||
0.275558 | + | 0.961285i | \(0.411137\pi\) | |||||||
\(38\) | −0.181510 | − | 4.35512i | −0.0294447 | − | 0.706493i | ||||
\(39\) | −9.72766 | −1.55767 | ||||||||
\(40\) | −0.173648 | − | 0.984808i | −0.0274562 | − | 0.155712i | ||||
\(41\) | −2.85406 | + | 2.39484i | −0.445730 | + | 0.374012i | −0.837848 | − | 0.545903i | \(-0.816187\pi\) |
0.392119 | + | 0.919915i | \(0.371742\pi\) | |||||||
\(42\) | 6.01581 | − | 2.18958i | 0.928259 | − | 0.337859i | ||||
\(43\) | −0.631247 | − | 0.229755i | −0.0962642 | − | 0.0350373i | 0.293439 | − | 0.955978i | \(-0.405200\pi\) |
−0.389703 | + | 0.920940i | \(0.627422\pi\) | |||||||
\(44\) | −2.76166 | − | 2.31731i | −0.416336 | − | 0.349347i | ||||
\(45\) | −4.37893 | + | 7.58452i | −0.652772 | + | 1.13063i | ||||
\(46\) | 2.54388 | + | 4.40612i | 0.375074 | + | 0.649647i | ||||
\(47\) | −1.09789 | + | 6.22647i | −0.160144 | + | 0.908223i | 0.793786 | + | 0.608197i | \(0.208107\pi\) |
−0.953931 | + | 0.300027i | \(0.903004\pi\) | |||||||
\(48\) | 0.595435 | − | 3.37688i | 0.0859436 | − | 0.487410i | ||||
\(49\) | 1.75716 | + | 3.04348i | 0.251022 | + | 0.434783i | ||||
\(50\) | 0.500000 | − | 0.866025i | 0.0707107 | − | 0.122474i | ||||
\(51\) | 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 | \(-0.667405\pi\) |
0.171365 | + | 0.985208i | \(0.445182\pi\) | |||||||
\(54\) | −15.1244 | + | 12.6909i | −2.05817 | + | 1.72701i | ||||
\(55\) | −0.626017 | − | 3.55032i | −0.0844121 | − | 0.478725i | ||||
\(56\) | −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 | −0.990067 | − | 0.140600i | \(-0.955097\pi\) |
0.882270 | − | 0.470743i | \(-0.156014\pi\) | |||||||
\(60\) | 2.62675 | − | 2.20410i | 0.339111 | − | 0.284548i | ||||
\(61\) | −7.73966 | + | 2.81701i | −0.990962 | + | 0.360681i | −0.786093 | − | 0.618109i | \(-0.787899\pi\) |
−0.204869 | + | 0.978789i | \(0.565677\pi\) | |||||||
\(62\) | −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 | ||||
\(65\) | 1.41845 | + | 2.45683i | 0.175937 | + | 0.304732i | ||||
\(66\) | 2.14660 | − | 12.1739i | 0.264228 | − | 1.49851i | ||||
\(67\) | 1.38291 | − | 7.84286i | 0.168949 | − | 0.958158i | −0.775949 | − | 0.630795i | \(-0.782729\pi\) |
0.944899 | − | 0.327363i | \(-0.106160\pi\) | |||||||
\(68\) | −2.99439 | − | 5.18644i | −0.363124 | − | 0.628949i | ||||
\(69\) | −8.72288 | + | 15.1085i | −1.05011 | + | 1.81885i | ||||
\(70\) | −1.43020 | − | 1.20008i | −0.170942 | − | 0.143437i | ||||
\(71\) | 1.81077 | + | 0.659065i | 0.214898 | + | 0.0782166i | 0.447226 | − | 0.894421i | \(-0.352412\pi\) |
−0.232328 | + | 0.972638i | \(0.574634\pi\) | |||||||
\(72\) | 8.22969 | − | 2.99536i | 0.969878 | − | 0.353007i | ||||
\(73\) | −3.83942 | + | 3.22165i | −0.449370 | + | 0.377066i | −0.839202 | − | 0.543820i | \(-0.816978\pi\) |
0.389832 | + | 0.920886i | \(0.372533\pi\) | |||||||
\(74\) | −0.582122 | − | 3.30138i | −0.0676703 | − | 0.383777i | ||||
\(75\) | 3.42897 | 0.395944 | ||||||||
\(76\) | −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 | −0.668327 | − | 0.743868i | \(-0.732989\pi\) |
0.616513 | + | 0.787345i | \(0.288545\pi\) | |||||||
\(80\) | −0.939693 | + | 0.342020i | −0.105061 | + | 0.0382390i | ||||
\(81\) | −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 | \(-0.800031\pi\) |
0.913505 | + | 0.406827i | \(0.133365\pi\) | |||||||
\(84\) | −3.20094 | − | 5.54420i | −0.349252 | − | 0.604922i | ||||
\(85\) | 1.03994 | − | 5.89781i | 0.112798 | − | 0.639707i | ||||
\(86\) | −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 | 0.681938 | − | 0.731410i | \(-0.261137\pi\) |
−0.601881 | + | 0.798586i | \(0.705582\pi\) | |||||||
\(90\) | 8.22969 | + | 2.99536i | 0.867485 | + | 0.315739i | ||||
\(91\) | 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 | ||||||||
\(95\) | −3.86240 | − | 2.02037i | −0.396274 | − | 0.207285i | ||||
\(96\) | −3.42897 | −0.349968 | ||||||||
\(97\) | −0.0325697 | − | 0.184712i | −0.00330695 | − | 0.0187547i | 0.983110 | − | 0.183018i | \(-0.0585865\pi\) |
−0.986417 | + | 0.164263i | \(0.947475\pi\) | |||||||
\(98\) | 2.69212 | − | 2.25896i | 0.271945 | − | 0.228189i | ||||
\(99\) | 29.6688 | − | 10.7985i | 2.98182 | − | 1.08529i | ||||
\(100\) | −0.939693 | − | 0.342020i | −0.0939693 | − | 0.0342020i | ||||
\(101\) | −1.50168 | − | 1.26006i | −0.149423 | − | 0.125380i | 0.565012 | − | 0.825083i | \(-0.308872\pi\) |
−0.714435 | + | 0.699702i | \(0.753316\pi\) | |||||||
\(102\) | 10.2677 | − | 17.7842i | 1.01665 | − | 1.76090i | ||||
\(103\) | −8.75199 | − | 15.1589i | −0.862359 | − | 1.49365i | −0.869646 | − | 0.493676i | \(-0.835653\pi\) |
0.00728653 | − | 0.999973i | \(-0.497681\pi\) | |||||||
\(104\) | 0.492623 | − | 2.79380i | 0.0483057 | − | 0.273955i | ||||
\(105\) | 1.11168 | − | 6.30463i | 0.108489 | − | 0.615269i | ||||
\(106\) | 1.28080 | + | 2.21840i | 0.124402 | + | 0.215470i | ||||
\(107\) | −5.29485 | + | 9.17096i | −0.511873 | + | 0.886590i | 0.488032 | + | 0.872826i | \(0.337715\pi\) |
−0.999905 | + | 0.0137643i | \(0.995619\pi\) | |||||||
\(108\) | 15.1244 | + | 12.6909i | 1.45535 | + | 1.22118i | ||||
\(109\) | 13.0386 | + | 4.74565i | 1.24887 | + | 0.454551i | 0.880019 | − | 0.474939i | \(-0.157530\pi\) |
0.368849 | + | 0.929489i | \(0.379752\pi\) | |||||||
\(110\) | −3.38767 | + | 1.23301i | −0.323002 | + | 0.117563i | ||||
\(111\) | 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 | \(-0.769732\pi\) | ||||
−0.749553 | + | 0.661944i | \(0.769732\pi\) | |||||||
\(114\) | −10.0759 | − | 11.0397i | −0.943694 | − | 1.03396i | ||||
\(115\) | 5.08775 | 0.474435 | ||||||||
\(116\) | 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 | ||||
\(120\) | −2.62675 | − | 2.20410i | −0.239788 | − | 0.201206i | ||||
\(121\) | −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 | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 8.17545 | − | 14.1603i | 0.728327 | − | 1.26150i | ||||
\(127\) | −12.8803 | − | 10.8078i | −1.14294 | − | 0.959041i | −0.143409 | − | 0.989663i | \(-0.545807\pi\) |
−0.999531 | + | 0.0306225i | \(0.990251\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −2.16453 | + | 0.787824i | −0.190576 | + | 0.0693640i | ||||
\(130\) | 2.17319 | − | 1.82353i | 0.190602 | − | 0.159934i | ||||
\(131\) | 1.13110 | + | 6.41481i | 0.0988249 | + | 0.560464i | 0.993508 | + | 0.113763i | \(0.0362903\pi\) |
−0.894683 | + | 0.446702i | \(0.852599\pi\) | |||||||
\(132\) | −12.3617 | −1.07595 | ||||||||
\(133\) | −4.96691 | + | 6.44654i | −0.430686 | + | 0.558986i | ||||
\(134\) | −7.96385 | −0.687972 | ||||||||
\(135\) | 3.42843 | + | 19.4436i | 0.295072 | + | 1.67344i | ||||
\(136\) | −4.58768 | + | 3.84952i | −0.393390 | + | 0.330094i | ||||
\(137\) | −19.0252 | + | 6.92459i | −1.62543 | + | 0.591608i | −0.984406 | − | 0.175914i | \(-0.943712\pi\) |
−0.641023 | + | 0.767521i | \(0.721490\pi\) | |||||||
\(138\) | 16.3937 | + | 5.96680i | 1.39552 | + | 0.507928i | ||||
\(139\) | 3.05535 | + | 2.56374i | 0.259151 | + | 0.217454i | 0.763101 | − | 0.646279i | \(-0.223676\pi\) |
−0.503950 | + | 0.863733i | \(0.668120\pi\) | |||||||
\(140\) | −0.933500 | + | 1.61687i | −0.0788951 | + | 0.136650i | ||||
\(141\) | 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 | ||||
\(145\) | −0.589242 | + | 1.02060i | −0.0489339 | + | 0.0847560i | ||||
\(146\) | 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 | −0.448705 | − | 0.893680i | \(-0.648115\pi\) |
0.802186 | + | 0.597074i | \(0.203670\pi\) | |||||||
\(150\) | −0.595435 | − | 3.37688i | −0.0486170 | − | 0.275721i | ||||
\(151\) | −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 | ||||
\(155\) | −3.98239 | + | 3.34162i | −0.319873 | + | 0.268405i | ||||
\(156\) | 9.14101 | − | 3.32706i | 0.731867 | − | 0.266378i | ||||
\(157\) | 20.2103 | + | 7.35594i | 1.61296 | + | 0.587068i | 0.982021 | − | 0.188769i | \(-0.0604498\pi\) |
0.630934 | + | 0.775837i | \(0.282672\pi\) | |||||||
\(158\) | 0.460535 | + | 0.386434i | 0.0366382 | + | 0.0307431i | ||||
\(159\) | −4.39181 | + | 7.60685i | −0.348294 | + | 0.603262i | ||||
\(160\) | 0.500000 | + | 0.866025i | 0.0395285 | + | 0.0684653i | ||||
\(161\) | 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 | −0.966418 | − | 0.256977i | \(-0.917274\pi\) |
0.260660 | − | 0.965431i | \(-0.416060\pi\) | |||||||
\(164\) | 1.86286 | − | 3.22656i | 0.145465 | − | 0.251952i | ||||
\(165\) | −9.46965 | − | 7.94598i | −0.737211 | − | 0.618594i | ||||
\(166\) | −1.78806 | − | 0.650801i | −0.138781 | − | 0.0505120i | ||||
\(167\) | 10.2510 | − | 3.73105i | 0.793244 | − | 0.288717i | 0.0865598 | − | 0.996247i | \(-0.472413\pi\) |
0.706684 | + | 0.707530i | \(0.250190\pi\) | |||||||
\(168\) | −4.90413 | + | 4.11506i | −0.378362 | + | 0.317483i | ||||
\(169\) | −0.859902 | − | 4.87675i | −0.0661463 | − | 0.375134i | ||||
\(170\) | −5.98879 | −0.459319 | ||||||||
\(171\) | 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 | \(-0.0537901\pi\) |
−0.983829 | + | 0.179108i | \(0.942679\pi\) | |||||||
\(174\) | −3.09558 | + | 2.59750i | −0.234675 | + | 0.196916i | ||||
\(175\) | −1.75441 | + | 0.638551i | −0.132621 | + | 0.0482700i | ||||
\(176\) | 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 | 0.739652 | − | 0.672989i | \(-0.234990\pi\) |
−0.952652 | + | 0.304063i | \(0.901657\pi\) | |||||||
\(180\) | 1.52078 | − | 8.62480i | 0.113353 | − | 0.642855i | ||||
\(181\) | −3.21271 | + | 18.2202i | −0.238799 | + | 1.35430i | 0.595665 | + | 0.803233i | \(0.296889\pi\) |
−0.834464 | + | 0.551063i | \(0.814223\pi\) | |||||||
\(182\) | −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 | ||||
\(185\) | −3.15014 | − | 1.14656i | −0.231603 | − | 0.0842965i | ||||
\(186\) | −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 | ||||||||
\(190\) | −1.31897 | + | 4.15455i | −0.0956885 | + | 0.301403i | ||||
\(191\) | 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 | \(-0.665982\pi\) |
0.767426 | + | 0.641138i | \(0.221537\pi\) | |||||||
\(194\) | −0.176250 | + | 0.0641498i | −0.0126540 | + | 0.00460568i | ||||
\(195\) | 9.14101 | + | 3.32706i | 0.654602 | + | 0.238256i | ||||
\(196\) | −2.69212 | − | 2.25896i | −0.192294 | − | 0.161354i | ||||
\(197\) | 1.75874 | − | 3.04622i | 0.125305 | − | 0.217034i | −0.796547 | − | 0.604576i | \(-0.793342\pi\) |
0.921852 | + | 0.387542i | \(0.126676\pi\) | |||||||
\(198\) | −15.7864 | − | 27.3429i | −1.12189 | − | 1.94317i | ||||
\(199\) | −0.145954 | + | 0.827747i | −0.0103464 | + | 0.0586774i | −0.989544 | − | 0.144232i | \(-0.953929\pi\) |
0.979197 | + | 0.202910i | \(0.0650398\pi\) | |||||||
\(200\) | −0.173648 | + | 0.984808i | −0.0122788 | + | 0.0696364i | ||||
\(201\) | −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 | ||||
\(205\) | 3.50103 | − | 1.27427i | 0.244522 | − | 0.0889988i | ||||
\(206\) | −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 | ||||
\(210\) | −6.40189 | −0.441772 | ||||||||
\(211\) | −4.75961 | − | 26.9931i | −0.327665 | − | 1.85828i | −0.490244 | − | 0.871585i | \(-0.663092\pi\) |
0.162579 | − | 0.986695i | \(-0.448019\pi\) | |||||||
\(212\) | 1.96229 | − | 1.64656i | 0.134771 | − | 0.113086i | ||||
\(213\) | 6.20906 | − | 2.25991i | 0.425438 | − | 0.154847i | ||||
\(214\) | 9.95107 | + | 3.62189i | 0.680241 | + | 0.247588i | ||||
\(215\) | 0.514597 | + | 0.431798i | 0.0350952 | + | 0.0294484i | ||||
\(216\) | 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 | ||||
\(220\) | 1.80254 | + | 3.12210i | 0.121528 | + | 0.210492i | ||||
\(221\) | 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 | \(-0.263822\pi\) |
0.0438288 | + | 0.999039i | \(0.486044\pi\) | |||||||
\(224\) | 1.75441 | − | 0.638551i | 0.117221 | − | 0.0426650i | ||||
\(225\) | 6.70890 | − | 5.62944i | 0.447260 | − | 0.375296i | ||||
\(226\) | 2.76721 | + | 15.6936i | 0.184072 | + | 1.04392i | ||||
\(227\) | 15.6154 | 1.03643 | 0.518214 | − | 0.855251i | \(-0.326597\pi\) | ||||
0.518214 | + | 0.855251i | \(0.326597\pi\) | |||||||
\(228\) | −9.12234 | + | 11.8399i | −0.604142 | + | 0.784113i | ||||
\(229\) | 5.50003 | 0.363452 | 0.181726 | − | 0.983349i | \(-0.441832\pi\) | ||||
0.181726 | + | 0.983349i | \(0.441832\pi\) | |||||||
\(230\) | −0.883479 | − | 5.01046i | −0.0582549 | − | 0.330380i | ||||
\(231\) | −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 | \(-0.267876\pi\) |
0.0311019 | + | 0.999516i | \(0.490098\pi\) | |||||||
\(234\) | 19.0325 | + | 15.9702i | 1.24419 | + | 1.04400i | ||||
\(235\) | 3.16126 | − | 5.47546i | 0.206218 | − | 0.357180i | ||||
\(236\) | 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 | 0.841041 | − | 0.540972i | \(-0.181943\pi\) |
−0.889016 | + | 0.457877i | \(0.848610\pi\) | |||||||
\(240\) | −1.71449 | + | 2.96958i | −0.110670 | + | 0.191685i | ||||
\(241\) | −6.44943 | − | 5.41172i | −0.415444 | − | 0.348599i | 0.410983 | − | 0.911643i | \(-0.365186\pi\) |
−0.826427 | + | 0.563044i | \(0.809630\pi\) | |||||||
\(242\) | 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 | ||||
\(245\) | −0.610254 | − | 3.46092i | −0.0389877 | − | 0.221110i | ||||
\(246\) | 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 | ||||
\(250\) | −0.766044 | + | 0.642788i | −0.0484489 | + | 0.0406535i | ||||
\(251\) | −10.4219 | + | 3.79327i | −0.657826 | + | 0.239429i | −0.649298 | − | 0.760535i | \(-0.724937\pi\) |
−0.00852858 | + | 0.999964i | \(0.502715\pi\) | |||||||
\(252\) | −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 | ||||
\(255\) | −10.2677 | − | 17.7842i | −0.642988 | − | 1.11369i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 1.99428 | − | 11.3101i | 0.124400 | − | 0.705506i | −0.857263 | − | 0.514879i | \(-0.827837\pi\) |
0.981663 | − | 0.190627i | \(-0.0610521\pi\) | |||||||
\(258\) | 1.15172 | + | 1.99484i | 0.0717030 | + | 0.124193i | ||||
\(259\) | −3.12938 | + | 5.42024i | −0.194450 | + | 0.336797i | ||||
\(260\) | −2.17319 | − | 1.82353i | −0.134776 | − | 0.113090i | ||||
\(261\) | −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 | 0.617126 | − | 0.786864i | \(-0.288297\pi\) |
0.882073 | − | 0.471113i | \(-0.156148\pi\) | |||||||
\(264\) | 2.14660 | + | 12.1739i | 0.132114 | + | 0.749255i | ||||
\(265\) | 2.56159 | 0.157357 | ||||||||
\(266\) | 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 | −0.996785 | − | 0.0801240i | \(-0.974468\pi\) |
−0.0941831 | + | 0.995555i | \(0.530024\pi\) | |||||||
\(270\) | 18.5528 | − | 6.75268i | 1.12909 | − | 0.410955i | ||||
\(271\) | 20.7560 | + | 7.55458i | 1.26084 | + | 0.458908i | 0.884050 | − | 0.467392i | \(-0.154806\pi\) |
0.376788 | + | 0.926299i | \(0.377028\pi\) | |||||||
\(272\) | 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 | ||||
\(275\) | −0.626017 | + | 3.55032i | −0.0377502 | + | 0.214092i | ||||
\(276\) | 3.02943 | − | 17.1807i | 0.182350 | − | 1.03416i | ||||
\(277\) | 9.90622 | + | 17.1581i | 0.595207 | + | 1.03093i | 0.993518 | + | 0.113679i | \(0.0362634\pi\) |
−0.398310 | + | 0.917251i | \(0.630403\pi\) | |||||||
\(278\) | 1.99424 | − | 3.45412i | 0.119606 | − | 0.207164i | ||||
\(279\) | −34.8771 | − | 29.2654i | −2.08804 | − | 1.75207i | ||||
\(280\) | 1.75441 | + | 0.638551i | 0.104846 | + | 0.0381607i | ||||
\(281\) | 19.8856 | − | 7.23776i | 1.18627 | − | 0.431769i | 0.327860 | − | 0.944726i | \(-0.393672\pi\) |
0.858414 | + | 0.512958i | \(0.171450\pi\) | |||||||
\(282\) | 16.6076 | − | 13.9355i | 0.988971 | − | 0.829845i | ||||
\(283\) | −3.23851 | − | 18.3665i | −0.192510 | − | 1.09178i | −0.915921 | − | 0.401359i | \(-0.868538\pi\) |
0.723411 | − | 0.690418i | \(-0.242573\pi\) | |||||||
\(284\) | −1.92698 | −0.114345 | ||||||||
\(285\) | −14.5986 | + | 3.20612i | −0.864748 | + | 0.189914i | ||||
\(286\) | −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 | ||||
\(290\) | 1.10741 | + | 0.403065i | 0.0650295 | + | 0.0236688i | ||||
\(291\) | −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 | 0.863589 | + | 0.504197i | \(0.168212\pi\) |
0.00485332 | + | 0.999988i | \(0.498455\pi\) | |||||||
\(294\) | 2.09254 | − | 11.8674i | 0.122040 | − | 0.692121i | ||||
\(295\) | −0.827999 | + | 4.69581i | −0.0482079 | + | 0.273401i | ||||
\(296\) | 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 | ||||
\(300\) | −3.22218 | + | 1.17278i | −0.186033 | + | 0.0677103i | ||||
\(301\) | 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 | ||||
\(305\) | 8.23638 | 0.471614 | ||||||||
\(306\) | −9.10766 | − | 51.6521i | −0.520650 | − | 2.95275i | ||||
\(307\) | −3.95389 | + | 3.31770i | −0.225660 | + | 0.189351i | −0.748607 | − | 0.663014i | \(-0.769277\pi\) |
0.522947 | + | 0.852365i | \(0.324833\pi\) | |||||||
\(308\) | 6.32479 | − | 2.30203i | 0.360388 | − | 0.131171i | ||||
\(309\) | −56.4010 | − | 20.5283i | −3.20854 | − | 1.16781i | ||||
\(310\) | 3.98239 | + | 3.34162i | 0.226184 | + | 0.189791i | ||||
\(311\) | 13.0187 | − | 22.5490i | 0.738223 | − | 1.27864i | −0.215072 | − | 0.976598i | \(-0.568999\pi\) |
0.953295 | − | 0.302041i | \(-0.0976680\pi\) | |||||||
\(312\) | −4.86383 | − | 8.42440i | −0.275360 | − | 0.476938i | ||||
\(313\) | −0.0481224 | + | 0.272916i | −0.00272004 | + | 0.0154261i | −0.986138 | − | 0.165930i | \(-0.946937\pi\) |
0.983418 | + | 0.181356i | \(0.0580486\pi\) | |||||||
\(314\) | 3.73471 | − | 21.1806i | 0.210762 | − | 1.19529i | ||||
\(315\) | −8.17545 | − | 14.1603i | −0.460635 | − | 0.797842i | ||||
\(316\) | 0.300593 | − | 0.520642i | 0.0169097 | − | 0.0292884i | ||||
\(317\) | 19.0958 | + | 16.0233i | 1.07253 | + | 0.899958i | 0.995279 | − | 0.0970537i | \(-0.0309419\pi\) |
0.0772492 | + | 0.997012i | \(0.475386\pi\) | |||||||
\(318\) | 8.25391 | + | 3.00418i | 0.462856 | + | 0.168466i | ||||
\(319\) | 3.99232 | − | 1.45309i | 0.223527 | − | 0.0813572i | ||||
\(320\) | 0.766044 | − | 0.642788i | 0.0428232 | − | 0.0359329i | ||||
\(321\) | 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 | ||||||||
\(325\) | −0.492623 | − | 2.79380i | −0.0273258 | − | 0.154972i | ||||
\(326\) | −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 | ||||
\(330\) | −6.18087 | + | 10.7056i | −0.340246 | + | 0.589323i | ||||
\(331\) | 5.34847 | + | 9.26381i | 0.293978 | + | 0.509185i | 0.974747 | − | 0.223313i | \(-0.0716873\pi\) |
−0.680768 | + | 0.732499i | \(0.738354\pi\) | |||||||
\(332\) | −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 | ||||
\(335\) | −3.98193 | + | 6.89690i | −0.217556 | + | 0.376818i | ||||
\(336\) | 4.90413 | + | 4.11506i | 0.267542 | + | 0.224495i | ||||
\(337\) | 4.28303 | + | 1.55890i | 0.233312 | + | 0.0849184i | 0.456030 | − | 0.889964i | \(-0.349271\pi\) |
−0.222719 | + | 0.974883i | \(0.571493\pi\) | |||||||
\(338\) | −4.65334 | + | 1.69368i | −0.253108 | + | 0.0921238i | ||||
\(339\) | −41.8591 | + | 35.1239i | −2.27347 | + | 1.90767i | ||||
\(340\) | 1.03994 | + | 5.89781i | 0.0563988 | + | 0.319853i | ||||
\(341\) | 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 | ||||
\(345\) | 13.3642 | − | 11.2139i | 0.719506 | − | 0.603737i | ||||
\(346\) | 0.137103 | − | 0.0499015i | 0.00737072 | − | 0.00268272i | ||||
\(347\) | −19.6329 | − | 7.14578i | −1.05395 | − | 0.383606i | −0.243796 | − | 0.969826i | \(-0.578393\pi\) |
−0.810151 | + | 0.586221i | \(0.800615\pi\) | |||||||
\(348\) | 3.09558 | + | 2.59750i | 0.165940 | + | 0.139240i | ||||
\(349\) | 5.64218 | − | 9.77255i | 0.302019 | − | 0.523112i | −0.674574 | − | 0.738207i | \(-0.735673\pi\) |
0.976593 | + | 0.215095i | \(0.0690060\pi\) | |||||||
\(350\) | 0.933500 | + | 1.61687i | 0.0498977 | + | 0.0864253i | ||||
\(351\) | −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 | \(-0.0965039\pi\) |
−0.735751 | + | 0.677252i | \(0.763171\pi\) | |||||||
\(354\) | −8.17511 | + | 14.1597i | −0.434502 | + | 0.752580i | ||||
\(355\) | −1.47615 | − | 1.23864i | −0.0783459 | − | 0.0657400i | ||||
\(356\) | −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 | −0.993614 | − | 0.112832i | \(-0.964008\pi\) |
0.895101 | − | 0.445864i | \(-0.147103\pi\) | |||||||
\(360\) | −8.75785 | −0.461579 | ||||||||
\(361\) | 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 | ||||
\(365\) | 4.70974 | − | 1.71421i | 0.246519 | − | 0.0897257i | ||||
\(366\) | 26.5391 | + | 9.65944i | 1.38722 | + | 0.504907i | ||||
\(367\) | −11.4507 | − | 9.60825i | −0.597720 | − | 0.501547i | 0.292992 | − | 0.956115i | \(-0.405349\pi\) |
−0.890712 | + | 0.454568i | \(0.849794\pi\) | |||||||
\(368\) | −2.54388 | + | 4.40612i | −0.132609 | + | 0.229685i | ||||
\(369\) | 16.3146 | + | 28.2578i | 0.849306 | + | 1.47104i | ||||
\(370\) | −0.582122 | + | 3.30138i | −0.0302631 | + | 0.171630i | ||||
\(371\) | 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 | \(-0.905836\pi\) |
0.730752 | + | 0.682644i | \(0.239170\pi\) | |||||||
\(374\) | 16.5390 | + | 13.8779i | 0.855211 | + | 0.717607i | ||||
\(375\) | −3.22218 | − | 1.17278i | −0.166393 | − | 0.0605620i | ||||
\(376\) | −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 | \(0.365948\pi\) | |||||||
\(380\) | 4.32047 | + | 0.577506i | 0.221636 | + | 0.0296255i | ||||
\(381\) | −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 | \(-0.736409\pi\) |
0.608019 | + | 0.793923i | \(0.291964\pi\) | |||||||
\(384\) | 3.22218 | − | 1.17278i | 0.164431 | − | 0.0598481i | ||||
\(385\) | 6.32479 | + | 2.30203i | 0.322341 | + | 0.117323i | ||||
\(386\) | −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 | −0.416044 | − | 0.909344i | \(-0.636584\pi\) |
0.701968 | − | 0.712209i | \(-0.252305\pi\) | |||||||
\(390\) | 1.68919 | − | 9.57988i | 0.0855355 | − | 0.485096i | ||||
\(391\) | −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 | ||||
\(395\) | 0.564929 | − | 0.205617i | 0.0284247 | − | 0.0103457i | ||||
\(396\) | −24.1862 | + | 20.2946i | −1.21540 | + | 1.01984i | ||||
\(397\) | −0.712877 | − | 4.04292i | −0.0357783 | − | 0.202909i | 0.961679 | − | 0.274179i | \(-0.0884059\pi\) |
−0.997457 | + | 0.0712700i | \(0.977295\pi\) | |||||||
\(398\) | 0.840516 | 0.0421313 | ||||||||
\(399\) | 1.16200 | + | 27.8810i | 0.0581730 | + | 1.39580i | ||||
\(400\) | 1.00000 | 0.0500000 | ||||||||
\(401\) | 5.41766 | + | 30.7251i | 0.270545 | + | 1.53434i | 0.752766 | + | 0.658288i | \(0.228719\pi\) |
−0.482221 | + | 0.876049i | \(0.660170\pi\) | |||||||
\(402\) | −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 | ||||
\(405\) | 31.7345 | + | 26.6284i | 1.57690 | + | 1.32317i | ||||
\(406\) | 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 | −0.923696 | − | 0.383127i | \(-0.874847\pi\) |
0.999027 | − | 0.0440987i | \(-0.0140416\pi\) | |||||||
\(410\) | −1.86286 | − | 3.22656i | −0.0920000 | − | 0.159349i | ||||
\(411\) | −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 | ||||
\(415\) | −1.45764 | + | 1.22311i | −0.0715528 | + | 0.0600399i | ||||
\(416\) | 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 | \(0.547862\pi\) | |||||||
\(420\) | 1.11168 | + | 6.30463i | 0.0542443 | + | 0.307634i | ||||
\(421\) | −2.93864 | + | 2.46581i | −0.143220 | + | 0.120176i | −0.711583 | − | 0.702602i | \(-0.752021\pi\) |
0.568363 | + | 0.822778i | \(0.307577\pi\) | |||||||
\(422\) | −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 | ||||
\(425\) | −2.99439 | + | 5.18644i | −0.145249 | + | 0.251579i | ||||
\(426\) | −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 | ||||
\(430\) | 0.335879 | − | 0.581760i | 0.0161975 | − | 0.0280550i | ||||
\(431\) | −19.5996 | − | 16.4460i | −0.944081 | − | 0.792178i | 0.0342100 | − | 0.999415i | \(-0.489108\pi\) |
−0.978291 | + | 0.207237i | \(0.933553\pi\) | |||||||
\(432\) | −18.5528 | − | 6.75268i | −0.892624 | − | 0.324888i | ||||
\(433\) | −26.7471 | + | 9.73513i | −1.28538 | + | 0.467841i | −0.892208 | − | 0.451624i | \(-0.850845\pi\) |
−0.393173 | + | 0.919464i | \(0.628623\pi\) | |||||||
\(434\) | 7.43511 | − | 6.23880i | 0.356897 | − | 0.299472i | ||||
\(435\) | 0.701710 | + | 3.97960i | 0.0336444 | + | 0.190807i | ||||
\(436\) | −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 | 0.567671 | + | 0.823256i | \(0.307845\pi\) |
−0.251866 | + | 0.967762i | \(0.581044\pi\) | |||||||
\(440\) | 2.76166 | − | 2.31731i | 0.131657 | − | 0.110473i | ||||
\(441\) | 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 | \(-0.0957786\pi\) |
−0.126029 | + | 0.992027i | \(0.540223\pi\) | |||||||
\(444\) | −5.74748 | + | 9.95493i | −0.272763 | + | 0.472440i | ||||
\(445\) | −0.492959 | − | 0.853830i | −0.0233685 | − | 0.0404754i | ||||
\(446\) | 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 | −0.218590 | − | 0.975817i | \(-0.570146\pi\) |
0.954377 | − | 0.298604i | \(-0.0965211\pi\) | |||||||
\(450\) | −6.70890 | − | 5.62944i | −0.316261 | − | 0.265374i | ||||
\(451\) | −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 | ||||
\(455\) | −5.29650 | −0.248304 | ||||||||
\(456\) | 13.2441 | + | 6.92778i | 0.620210 | + | 0.324423i | ||||
\(457\) | −13.0810 | −0.611902 | −0.305951 | − | 0.952047i | \(-0.598974\pi\) | ||||
−0.305951 | + | 0.952047i | \(0.598974\pi\) | |||||||
\(458\) | −0.955070 | − | 5.41647i | −0.0446275 | − | 0.253095i | ||||
\(459\) | 90.5769 | − | 76.0030i | 4.22777 | − | 3.54752i | ||||
\(460\) | −4.78092 | + | 1.74011i | −0.222912 | + | 0.0811332i | ||||
\(461\) | −17.1219 | − | 6.23187i | −0.797448 | − | 0.290247i | −0.0890194 | − | 0.996030i | \(-0.528373\pi\) |
−0.708429 | + | 0.705783i | \(0.750596\pi\) | |||||||
\(462\) | 17.6798 | + | 14.8351i | 0.822540 | + | 0.690193i | ||||
\(463\) | 11.5040 | − | 19.9255i | 0.534636 | − | 0.926017i | −0.464545 | − | 0.885550i | \(-0.653782\pi\) |
0.999181 | − | 0.0404670i | \(-0.0128846\pi\) | |||||||
\(464\) | −0.589242 | − | 1.02060i | −0.0273549 | − | 0.0473800i | ||||
\(465\) | −3.09545 | + | 17.5552i | −0.143548 | + | 0.814101i | ||||
\(466\) | 1.96719 | − | 11.1565i | 0.0911284 | − | 0.516815i | ||||
\(467\) | 12.5265 | + | 21.6966i | 0.579658 | + | 1.00400i | 0.995518 | + | 0.0945691i | \(0.0301473\pi\) |
−0.415860 | + | 0.909429i | \(0.636519\pi\) | |||||||
\(468\) | 12.4226 | − | 21.5166i | 0.574234 | − | 0.994603i | ||||
\(469\) | 11.3899 | + | 9.55729i | 0.525938 | + | 0.441315i | ||||
\(470\) | −5.94122 | − | 2.16243i | −0.274048 | − | 0.0997454i | ||||
\(471\) | 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 | ||||||||
\(475\) | 2.93846 | + | 3.21954i | 0.134826 | + | 0.147723i | ||||
\(476\) | 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 | −0.762258 | − | 0.647274i | \(-0.775909\pi\) |
−0.167864 | + | 0.985810i | \(0.553687\pi\) | |||||||
\(480\) | 3.22218 | + | 1.17278i | 0.147072 | + | 0.0535297i | ||||
\(481\) | −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 | ||||
\(485\) | −0.0325697 | + | 0.184712i | −0.00147891 | + | 0.00838733i | ||||
\(486\) | 41.4097 | + | 71.7238i | 1.87838 | + | 3.25346i | ||||
\(487\) | 1.66266 | − | 2.87982i | 0.0753425 | − | 0.130497i | −0.825893 | − | 0.563827i | \(-0.809328\pi\) |
0.901235 | + | 0.433330i | \(0.142662\pi\) | |||||||
\(488\) | −6.30943 | − | 5.29424i | −0.285614 | − | 0.239659i | ||||
\(489\) | −58.0669 | − | 21.1346i | −2.62588 | − | 0.955741i | ||||
\(490\) | −3.30237 | + | 1.20197i | −0.149186 | + | 0.0542993i | ||||
\(491\) | −3.86014 | + | 3.23904i | −0.174206 | + | 0.146176i | −0.725722 | − | 0.687988i | \(-0.758494\pi\) |
0.551516 | + | 0.834164i | \(0.314050\pi\) | |||||||
\(492\) | −2.21842 | − | 12.5813i | −0.100014 | − | 0.567208i | ||||
\(493\) | 7.05769 | 0.317862 | ||||||||
\(494\) | −7.54722 | + | 9.79551i | −0.339565 | + | 0.440721i | ||||
\(495\) | −31.5728 | −1.41909 | ||||||||
\(496\) | −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 | 0.548268 | − | 0.836302i | \(-0.315287\pi\) |
−0.117567 | + | 0.993065i | \(0.537509\pi\) | |||||||
\(500\) | 0.766044 | + | 0.642788i | 0.0342585 | + | 0.0287463i | ||||
\(501\) | 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 | \(-0.896698\pi\) |
0.999699 | + | 0.0245291i | \(0.00780863\pi\) | |||||||
\(504\) | −2.83930 | + | 16.1025i | −0.126473 | + | 0.717262i | ||||
\(505\) | 0.980151 | + | 1.69767i | 0.0436161 | + | 0.0755454i | ||||
\(506\) | −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 | −0.790334 | − | 0.612676i | \(-0.790093\pi\) |
−0.211611 | + | 0.977354i | \(0.567871\pi\) | |||||||
\(510\) | −15.7310 | + | 13.1999i | −0.696581 | + | 0.584501i | ||||
\(511\) | −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 | ||||||||
\(515\) | 3.03953 | + | 17.2381i | 0.133938 | + | 0.759599i | ||||
\(516\) | 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 | ||||
\(520\) | −1.41845 | + | 2.45683i | −0.0622032 | + | 0.107739i | ||||
\(521\) | −13.2375 | − | 22.9280i | −0.579945 | − | 1.00449i | −0.995485 | − | 0.0949192i | \(-0.969741\pi\) |
0.415540 | − | 0.909575i | \(-0.363593\pi\) | |||||||
\(522\) | −1.79222 | + | 10.1642i | −0.0784434 | + | 0.444874i | ||||
\(523\) | −2.71298 | + | 15.3861i | −0.118631 | + | 0.672787i | 0.866258 | + | 0.499597i | \(0.166519\pi\) |
−0.984888 | + | 0.173190i | \(0.944593\pi\) | |||||||
\(524\) | −3.25688 | − | 5.64108i | −0.142278 | − | 0.246432i | ||||
\(525\) | −3.20094 | + | 5.54420i | −0.139701 | + | 0.241969i | ||||
\(526\) | −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 | ||||
\(530\) | −0.444816 | − | 2.52268i | −0.0193216 | − | 0.109578i | ||||
\(531\) | −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 | ||||
\(535\) | 8.11219 | − | 6.80693i | 0.350720 | − | 0.294289i | ||||
\(536\) | 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 | ||||
\(540\) | −9.87176 | − | 17.0984i | −0.424813 | − | 0.735797i | ||||
\(541\) | −2.57421 | + | 14.5991i | −0.110674 | + | 0.627664i | 0.878127 | + | 0.478427i | \(0.158793\pi\) |
−0.988801 | + | 0.149237i | \(0.952318\pi\) | |||||||
\(542\) | 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 | ||||
\(545\) | −10.6291 | − | 8.91890i | −0.455302 | − | 0.382044i | ||||
\(546\) | −17.0663 | − | 6.21161i | −0.730369 | − | 0.265833i | ||||
\(547\) | 18.2130 | − | 6.62897i | 0.778730 | − | 0.283434i | 0.0780869 | − | 0.996947i | \(-0.475119\pi\) |
0.700643 | + | 0.713512i | \(0.252897\pi\) | |||||||
\(548\) | 15.5095 | − | 13.0140i | 0.662531 | − | 0.555929i | ||||
\(549\) | 12.5258 | + | 71.0371i | 0.534586 | + | 3.03179i | ||||
\(550\) | 3.60509 | 0.153721 | ||||||||
\(551\) | 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 | ||||
\(555\) | −10.8017 | + | 3.93151i | −0.458508 | + | 0.166883i | ||||
\(556\) | −3.74794 | − | 1.36414i | −0.158948 | − | 0.0578523i | ||||
\(557\) | −29.2047 | − | 24.5056i | −1.23744 | − | 1.03834i | −0.997720 | − | 0.0674946i | \(-0.978499\pi\) |
−0.239721 | − | 0.970842i | \(-0.577056\pi\) | |||||||
\(558\) | −22.7644 | + | 39.4292i | −0.963695 | + | 1.66917i | ||||
\(559\) | 0.952858 | + | 1.65040i | 0.0403016 | + | 0.0698044i | ||||
\(560\) | 0.324201 | − | 1.83864i | 0.0137000 | − | 0.0776965i | ||||
\(561\) | −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 | \(-0.916992\pi\) |
0.706384 | + | 0.707829i | \(0.250325\pi\) | |||||||
\(564\) | −16.6076 | − | 13.9355i | −0.699308 | − | 0.586789i | ||||
\(565\) | 14.9747 | + | 5.45034i | 0.629990 | + | 0.229297i | ||||
\(566\) | −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 | \(0.521285\pi\) | |||||||
\(570\) | 5.69244 | + | 13.8201i | 0.238430 | + | 0.578860i | ||||
\(571\) | 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 | ||||
\(575\) | −4.78092 | − | 1.74011i | −0.199378 | − | 0.0725678i | ||||
\(576\) | 6.70890 | + | 5.62944i | 0.279538 | + | 0.234560i | ||||
\(577\) | 1.07552 | − | 1.86286i | 0.0447746 | − | 0.0775519i | −0.842770 | − | 0.538274i | \(-0.819076\pi\) |
0.887544 | + | 0.460723i | \(0.152410\pi\) | |||||||
\(578\) | 9.43280 | + | 16.3381i | 0.392353 | + | 0.679575i | ||||
\(579\) | 2.90790 | − | 16.4915i | 0.120848 | − | 0.685364i | ||||
\(580\) | 0.204642 | − | 1.16058i | 0.00849728 | − | 0.0481905i | ||||
\(581\) | 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 | ||||
\(585\) | 23.3468 | − | 8.49755i | 0.965273 | − | 0.351331i | ||||
\(586\) | 22.7750 | − | 19.1105i | 0.940827 | − | 0.789447i | ||||
\(587\) | −4.95317 | − | 28.0908i | −0.204439 | − | 1.15943i | −0.898320 | − | 0.439342i | \(-0.855212\pi\) |
0.693880 | − | 0.720090i | \(-0.255900\pi\) | |||||||
\(588\) | −12.0505 | −0.496953 | ||||||||
\(589\) | 13.8303 | − | 17.9503i | 0.569868 | − | 0.739629i | ||||
\(590\) | 4.76825 | 0.196306 | ||||||||
\(591\) | −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 | \(-0.677548\pi\) |
0.139889 | + | 0.990167i | \(0.455326\pi\) | |||||||
\(594\) | −66.8846 | − | 24.3440i | −2.74431 | − | 0.998847i | ||||
\(595\) | 8.56519 | + | 7.18705i | 0.351139 | + | 0.294640i | ||||
\(596\) | −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 | −0.973435 | − | 0.228965i | \(-0.926466\pi\) |
0.993040 | + | 0.117778i | \(0.0375770\pi\) | |||||||
\(600\) | 1.71449 | + | 2.96958i | 0.0699936 | + | 0.121232i | ||||
\(601\) | −8.51074 | + | 14.7410i | −0.347160 | + | 0.601299i | −0.985744 | − | 0.168253i | \(-0.946187\pi\) |
0.638583 | + | 0.769553i | \(0.279521\pi\) | |||||||
\(602\) | −0.960753 | − | 0.806167i | −0.0391574 | − | 0.0328569i | ||||
\(603\) | −65.5400 | − | 23.8546i | −2.66900 | − | 0.971435i | ||||
\(604\) | 1.16380 | − | 0.423587i | 0.0473542 | − | 0.0172355i | ||||
\(605\) | 1.52953 | − | 1.28343i | 0.0621843 | − | 0.0521788i | ||||
\(606\) | 1.16723 | + | 6.61970i | 0.0474156 | + | 0.268907i | ||||
\(607\) | −45.0807 | −1.82977 | −0.914884 | − | 0.403717i | \(-0.867718\pi\) | ||||
−0.914884 | + | 0.403717i | \(0.867718\pi\) | |||||||
\(608\) | −2.93846 | − | 3.21954i | −0.119170 | − | 0.130570i | ||||
\(609\) | 7.54452 | 0.305720 | ||||||||
\(610\) | −1.43023 | − | 8.11125i | −0.0579084 | − | 0.328415i | ||||
\(611\) | 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 | \(-0.380991\pi\) |
−0.318603 | + | 0.947888i | \(0.603214\pi\) | |||||||
\(614\) | 3.95389 | + | 3.31770i | 0.159566 | + | 0.133892i | ||||
\(615\) | 6.38769 | − | 11.0638i | 0.257576 | − | 0.446135i | ||||
\(616\) | −3.36535 | − | 5.82896i | −0.135594 | − | 0.234855i | ||||
\(617\) | 4.11879 | − | 23.3588i | 0.165816 | − | 0.940392i | −0.782402 | − | 0.622773i | \(-0.786006\pi\) |
0.948219 | − | 0.317618i | \(-0.102883\pi\) | |||||||
\(618\) | −10.4225 | + | 59.1088i | −0.419254 | + | 2.37771i | ||||
\(619\) | −6.32545 | − | 10.9560i | −0.254241 | − | 0.440359i | 0.710448 | − | 0.703750i | \(-0.248492\pi\) |
−0.964689 | + | 0.263391i | \(0.915159\pi\) | |||||||
\(620\) | 2.59932 | − | 4.50215i | 0.104391 | − | 0.180811i | ||||
\(621\) | 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 | ||||
\(625\) | 0.173648 | + | 0.984808i | 0.00694593 | + | 0.0393923i | ||||
\(626\) | 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 | ||||
\(630\) | −12.5255 | + | 10.5102i | −0.499029 | + | 0.418735i | ||||
\(631\) | −35.9350 | + | 13.0793i | −1.43055 | + | 0.520677i | −0.937089 | − | 0.349091i | \(-0.886490\pi\) |
−0.493460 | + | 0.869769i | \(0.664268\pi\) | |||||||
\(632\) | −0.564929 | − | 0.205617i | −0.0224717 | − | 0.00817902i | ||||
\(633\) | −71.9978 | − | 60.4133i | −2.86165 | − | 2.40121i | ||||
\(634\) | 12.4639 | − | 21.5881i | 0.495005 | − | 0.857374i | ||||
\(635\) | 8.40701 | + | 14.5614i | 0.333622 | + | 0.577850i | ||||
\(636\) | 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 | ||||
\(640\) | −0.766044 | − | 0.642788i | −0.0302806 | − | 0.0254084i | ||||
\(641\) | −9.64318 | − | 3.50983i | −0.380883 | − | 0.138630i | 0.144481 | − | 0.989508i | \(-0.453849\pi\) |
−0.525364 | + | 0.850878i | \(0.676071\pi\) | |||||||
\(642\) | 34.1219 | − | 12.4194i | 1.34669 | − | 0.490154i | ||||
\(643\) | −11.1597 | + | 9.36407i | −0.440094 | + | 0.369283i | −0.835745 | − | 0.549118i | \(-0.814964\pi\) |
0.395650 | + | 0.918401i | \(0.370519\pi\) | |||||||
\(644\) | 1.64946 | + | 9.35452i | 0.0649976 | + | 0.368620i | ||||
\(645\) | 2.30344 | 0.0906980 | ||||||||
\(646\) | 25.4969 | − | 5.59958i | 1.00316 | − | 0.220313i | ||||
\(647\) | 4.44223 | 0.174642 | 0.0873211 | − | 0.996180i | \(-0.472169\pi\) | ||||
0.0873211 | + | 0.996180i | \(0.472169\pi\) | |||||||
\(648\) | −7.19362 | − | 40.7970i | −0.282592 | − | 1.60266i | ||||
\(649\) | 13.1683 | − | 11.0495i | 0.516900 | − | 0.433731i | ||||
\(650\) | −2.66582 | + | 0.970278i | −0.104562 | + | 0.0380574i | ||||
\(651\) | 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 | \(-0.957594\pi\) |
0.610603 | + | 0.791937i | \(0.290927\pi\) | |||||||
\(654\) | −23.7891 | − | 41.2039i | −0.930227 | − | 1.61120i | ||||
\(655\) | 1.13110 | − | 6.41481i | 0.0441959 | − | 0.250647i | ||||
\(656\) | −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 | 0.809487 | − | 0.587138i | \(-0.199746\pi\) |
−0.437652 | + | 0.899144i | \(0.644190\pi\) | |||||||
\(660\) | 11.6162 | + | 4.22797i | 0.452162 | + | 0.164573i | ||||
\(661\) | −7.75350 | + | 2.82204i | −0.301576 | + | 0.109765i | −0.488376 | − | 0.872633i | \(-0.662411\pi\) |
0.186800 | + | 0.982398i | \(0.440188\pi\) | |||||||
\(662\) | 8.19432 | − | 6.87585i | 0.318481 | − | 0.267238i | ||||
\(663\) | −10.1162 | − | 57.3719i | −0.392881 | − | 2.22814i | ||||
\(664\) | 1.90282 | 0.0738436 | ||||||||
\(665\) | 6.87222 | − | 4.35898i | 0.266493 | − | 0.169034i | ||||
\(666\) | −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 | ||||
\(670\) | 7.48357 | + | 2.72380i | 0.289116 | + | 0.105229i | ||||
\(671\) | −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 | \(-0.159101\pi\) |
−0.853897 | + | 0.520442i | \(0.825767\pi\) | |||||||
\(674\) | 0.791472 | − | 4.48866i | 0.0304864 | − | 0.172897i | ||||
\(675\) | 3.42843 | − | 19.4436i | 0.131960 | − | 0.748383i | ||||
\(676\) | 2.47599 | + | 4.28854i | 0.0952303 | + | 0.164944i | ||||
\(677\) | 8.92630 | − | 15.4608i | 0.343065 | − | 0.594207i | −0.641935 | − | 0.766759i | \(-0.721868\pi\) |
0.985000 | + | 0.172552i | \(0.0552014\pi\) | |||||||
\(678\) | 41.8591 | + | 35.1239i | 1.60759 | + | 1.34893i | ||||
\(679\) | 0.329059 | + | 0.119768i | 0.0126281 | + | 0.00459626i | ||||
\(680\) | 5.62762 | − | 2.04829i | 0.215809 | − | 0.0785482i | ||||
\(681\) | 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 | \(-0.321697\pi\) | ||||
0.531318 | + | 0.847173i | \(0.321697\pi\) | |||||||
\(684\) | 1.58963 | + | 38.1415i | 0.0607812 | + | 1.45838i | ||||
\(685\) | 20.2461 | 0.773566 | ||||||||
\(686\) | 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 | ||||
\(690\) | −13.3642 | − | 11.2139i | −0.508768 | − | 0.426907i | ||||
\(691\) | −21.3398 | + | 36.9617i | −0.811805 | + | 1.40609i | 0.0997945 | + | 0.995008i | \(0.468181\pi\) |
−0.911600 | + | 0.411079i | \(0.865152\pi\) | |||||||
\(692\) | −0.0729511 | − | 0.126355i | −0.00277319 | − | 0.00480330i | ||||
\(693\) | −10.2359 | + | 58.0509i | −0.388831 | + | 2.20517i | ||||
\(694\) | −3.62801 | + | 20.5755i | −0.137717 | + | 0.781033i | ||||
\(695\) | −1.99424 | − | 3.45412i | −0.0756456 | − | 0.131022i | ||||
\(696\) | 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 | ||||
\(700\) | 1.43020 | − | 1.20008i | 0.0540567 | − | 0.0453589i | ||||
\(701\) | −6.91944 | − | 39.2421i | −0.261344 | − | 1.48215i | −0.779249 | − | 0.626715i | \(-0.784399\pi\) |
0.517905 | − | 0.855438i | \(-0.326712\pi\) | |||||||
\(702\) | 56.0104 | 2.11398 | ||||||||
\(703\) | 14.4835 | + | 1.93598i | 0.546257 | + | 0.0730168i | ||||
\(704\) | −3.60509 | −0.135872 | ||||||||
\(705\) | −3.76465 | − | 21.3504i | −0.141785 | − | 0.804102i | ||||
\(706\) | 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 | 0.968314 | + | 0.249734i | \(0.0803433\pi\) |
0.414086 | + | 0.910238i | \(0.364101\pi\) | |||||||
\(710\) | −0.963488 | + | 1.66881i | −0.0361591 | + | 0.0626293i | ||||
\(711\) | 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 | ||||
\(715\) | −5.11364 | + | 8.85709i | −0.191239 | + | 0.331236i | ||||
\(716\) | 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 | −0.963623 | − | 0.267266i | \(-0.913880\pi\) |
0.0958738 | + | 0.995393i | \(0.469435\pi\) | |||||||
\(720\) | 1.52078 | + | 8.62480i | 0.0566763 | + | 0.321427i | ||||
\(721\) | 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 | ||||
\(725\) | 0.902771 | − | 0.757515i | 0.0335281 | − | 0.0281334i | ||||
\(726\) | 6.43360 | − | 2.34164i | 0.238773 | − | 0.0869064i | ||||
\(727\) | 28.7236 | + | 10.4545i | 1.06530 | + | 0.387737i | 0.814417 | − | 0.580280i | \(-0.197057\pi\) |
0.250883 | + | 0.968018i | \(0.419279\pi\) | |||||||
\(728\) | 4.05735 | + | 3.40452i | 0.150376 | + | 0.126180i | ||||
\(729\) | −79.8532 | + | 138.310i | −2.95753 | + | 5.12259i | ||||
\(730\) | −2.50600 | − | 4.34052i | −0.0927513 | − | 0.160650i | ||||
\(731\) | 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 | 0.911049 | + | 0.412299i | \(0.135274\pi\) |
−0.0984629 | + | 0.995141i | \(0.531393\pi\) | |||||||
\(734\) | −7.47389 | + | 12.9452i | −0.275866 | + | 0.477815i | ||||
\(735\) | −9.23120 | − | 7.74590i | −0.340498 | − | 0.285712i | ||||
\(736\) | 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 | 0.923135 | + | 0.384476i | \(0.125618\pi\) |
−0.735964 | + | 0.677020i | \(0.763271\pi\) | |||||||
\(740\) | 3.35231 | 0.123233 | ||||||||
\(741\) | −42.0281 | − | 5.61779i | −1.54394 | − | 0.206375i | ||||
\(742\) | −4.78249 | −0.175571 | ||||||||
\(743\) | 2.27875 | + | 12.9235i | 0.0835994 | + | 0.474116i | 0.997650 | + | 0.0685156i | \(0.0218263\pi\) |
−0.914051 | + | 0.405600i | \(0.867063\pi\) | |||||||
\(744\) | 13.6555 | − | 11.4583i | 0.500635 | − | 0.420082i | ||||
\(745\) | −5.29287 | + | 1.92645i | −0.193916 | + | 0.0705796i | ||||
\(746\) | 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 | ||||
\(750\) | −0.595435 | + | 3.37688i | −0.0217422 | + | 0.123306i | ||||
\(751\) | 3.47466 | − | 19.7058i | 0.126792 | − | 0.719074i | −0.853435 | − | 0.521199i | \(-0.825485\pi\) |
0.980227 | − | 0.197875i | \(-0.0634040\pi\) | |||||||
\(752\) | 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 | ||||
\(755\) | 1.16380 | + | 0.423587i | 0.0423548 | + | 0.0154159i | ||||
\(756\) | −34.6381 | + | 12.6072i | −1.25978 | + | 0.458521i | ||||
\(757\) | −27.9516 | + | 23.4542i | −1.01592 | + | 0.852458i | −0.989109 | − | 0.147183i | \(-0.952979\pi\) |
−0.0268104 | + | 0.999641i | \(0.508535\pi\) | |||||||
\(758\) | −2.76394 | − | 15.6751i | −0.100391 | − | 0.569345i | ||||
\(759\) | −62.8935 | −2.28289 | ||||||||
\(760\) | −0.181510 | − | 4.35512i | −0.00658404 | − | 0.157977i | ||||
\(761\) | 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 | ||||
\(765\) | −49.2859 | − | 17.9386i | −1.78193 | − | 0.648571i | ||||
\(766\) | 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 | 0.827037 | + | 0.562147i | \(0.190025\pi\) |
−0.969426 | + | 0.245382i | \(0.921087\pi\) | |||||||
\(770\) | 1.16877 | − | 6.62844i | 0.0421197 | − | 0.238873i | ||||
\(771\) | −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 | \(-0.149155\pi\) |
−0.289832 | + | 0.957078i | \(0.593599\pi\) | |||||||
\(774\) | 5.52837 | + | 2.01216i | 0.198713 | + | 0.0723256i | ||||
\(775\) | 4.88512 | − | 1.77804i | 0.175479 | − | 0.0638690i | ||||
\(776\) | 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 | ||||
\(780\) | −9.72766 | −0.348306 | ||||||||
\(781\) | 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 | ||||
\(785\) | −16.4756 | − | 13.8246i | −0.588038 | − | 0.493422i | ||||
\(786\) | 11.1678 | − | 19.3431i | 0.398341 | − | 0.689946i | ||||
\(787\) | 15.0675 | + | 26.0977i | 0.537098 | + | 0.930282i | 0.999059 | + | 0.0433810i | \(0.0138129\pi\) |
−0.461960 | + | 0.886901i | \(0.652854\pi\) | |||||||
\(788\) | −0.610802 | + | 3.46403i | −0.0217589 | + | 0.123401i | ||||
\(789\) | 18.8981 | − | 107.176i | 0.672789 | − | 3.81558i | ||||
\(790\) | −0.300593 | − | 0.520642i | −0.0106946 | − | 0.0185236i | ||||
\(791\) | 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 | ||||
\(795\) | 6.72865 | − | 5.64601i | 0.238641 | − | 0.200243i | ||||
\(796\) | −0.145954 | − | 0.827747i | −0.00517321 | − | 0.0293387i | ||||
\(797\) | −19.4641 | −0.689456 | −0.344728 | − | 0.938703i | \(-0.612029\pi\) | ||||
−0.344728 | + | 0.938703i | \(0.612029\pi\) | |||||||
\(798\) | 27.2556 | − | 5.98583i | 0.964839 | − | 0.211896i | ||||
\(799\) | −37.8642 | −1.33954 | ||||||||
\(800\) | −0.173648 | − | 0.984808i | −0.00613939 | − | 0.0348182i | ||||
\(801\) | 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 | ||||
\(805\) | −4.74942 | + | 8.22623i | −0.167395 | + | 0.289937i | ||||
\(806\) | 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 | 0.965286 | + | 0.261194i | \(0.0841162\pi\) |
−0.256443 | + | 0.966559i | \(0.582550\pi\) | |||||||
\(810\) | 20.7132 | − | 35.8763i | 0.727788 | − | 1.26057i | ||||
\(811\) | −14.7737 | − | 12.3966i | −0.518775 | − | 0.435304i | 0.345430 | − | 0.938445i | \(-0.387733\pi\) |
−0.864204 | + | 0.503141i | \(0.832178\pi\) | |||||||
\(812\) | −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 | ||||
\(815\) | 3.12932 | + | 17.7472i | 0.109615 | + | 0.621658i | ||||
\(816\) | 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 | ||||
\(820\) | −2.85406 | + | 2.39484i | −0.0996682 | + | 0.0836315i | ||||
\(821\) | −39.3911 | + | 14.3372i | −1.37476 | + | 0.500372i | −0.920586 | − | 0.390541i | \(-0.872288\pi\) |
−0.454175 | + | 0.890913i | \(0.650066\pi\) | |||||||
\(822\) | 65.2367 | + | 23.7442i | 2.27539 | + | 0.828175i | ||||
\(823\) | 18.3273 | + | 15.3785i | 0.638851 | + | 0.536059i | 0.903665 | − | 0.428240i | \(-0.140866\pi\) |
−0.264814 | + | 0.964299i | \(0.585311\pi\) | |||||||
\(824\) | 8.75199 | − | 15.1589i | 0.304890 | − | 0.528085i | ||||
\(825\) | 6.18087 | + | 10.7056i | 0.215190 | + | 0.372721i | ||||
\(826\) | 1.54587 | − | 8.76708i | 0.0537878 | − | 0.305046i | ||||
\(827\) | 4.27216 | − | 24.2286i | 0.148557 | − | 0.842511i | −0.815884 | − | 0.578215i | \(-0.803749\pi\) |
0.964442 | − | 0.264296i | \(-0.0851395\pi\) | |||||||
\(828\) | −22.2789 | − | 38.5882i | −0.774245 | − | 1.34103i | ||||
\(829\) | 17.5981 | − | 30.4809i | 0.611209 | − | 1.05865i | −0.379828 | − | 0.925057i | \(-0.624017\pi\) |
0.991037 | − | 0.133588i | \(-0.0426498\pi\) | |||||||
\(830\) | 1.45764 | + | 1.22311i | 0.0505955 | + | 0.0424546i | ||||
\(831\) | 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 | ||||
\(835\) | −10.9088 | −0.377516 | ||||||||
\(836\) | −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 | −0.901553 | − | 0.432669i | \(-0.857572\pi\) |
0.269543 | + | 0.962988i | \(0.413127\pi\) | |||||||
\(840\) | 6.01581 | − | 2.18958i | 0.207565 | − | 0.0755475i | ||||
\(841\) | 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 | ||||
\(845\) | −0.859902 | + | 4.87675i | −0.0295815 | + | 0.167765i | ||||
\(846\) | 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 | ||||
\(850\) | 5.62762 | + | 2.04829i | 0.193026 | + | 0.0702556i | ||||
\(851\) | −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 | 0.958517 | + | 0.285034i | \(0.0920048\pi\) |
−0.803225 | + | 0.595676i | \(0.796884\pi\) | |||||||
\(854\) | −15.3773 | −0.526201 | ||||||||
\(855\) | −23.2991 | + | 30.2399i | −0.796814 | + | 1.03418i | ||||
\(856\) | −10.5897 | −0.361949 | ||||||||
\(857\) | −8.53842 | − | 48.4238i | −0.291667 | − | 1.65412i | −0.680449 | − | 0.732795i | \(-0.738215\pi\) |
0.388783 | − | 0.921329i | \(-0.372896\pi\) | |||||||
\(858\) | −26.8645 | + | 22.5420i | −0.917138 | + | 0.769570i | ||||
\(859\) | 13.6388 | − | 4.96410i | 0.465348 | − | 0.169373i | −0.0986958 | − | 0.995118i | \(-0.531467\pi\) |
0.564044 | + | 0.825745i | \(0.309245\pi\) | |||||||
\(860\) | −0.631247 | − | 0.229755i | −0.0215253 | − | 0.00783458i | ||||
\(861\) | −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 | \(-0.107250\pi\) |
−0.758191 | + | 0.652032i | \(0.773917\pi\) | |||||||
\(864\) | −3.42843 | + | 19.4436i | −0.116637 | + | 0.661484i | ||||
\(865\) | 0.0253357 | − | 0.143686i | 0.000861438 | − | 0.00488546i | ||||
\(866\) | 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 | ||||
\(870\) | 3.79729 | − | 1.38210i | 0.128740 | − | 0.0468576i | ||||
\(871\) | −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 | ||||
\(875\) | 1.86700 | 0.0631161 | ||||||||
\(876\) | −2.98432 | − | 16.9249i | −0.100831 | − | 0.571840i | ||||
\(877\) | 8.61676 | − | 7.23032i | 0.290967 | − | 0.244150i | −0.485606 | − | 0.874178i | \(-0.661401\pi\) |
0.776573 | + | 0.630028i | \(0.216956\pi\) | |||||||
\(878\) | 35.8069 | − | 13.0326i | 1.20842 | − | 0.439830i | ||||
\(879\) | 95.7975 | + | 34.8675i | 3.23117 | + | 1.17605i | ||||
\(880\) | −2.76166 | − | 2.31731i | −0.0930955 | − | 0.0781164i | ||||
\(881\) | 4.90996 | − | 8.50431i | 0.165421 | − | 0.286517i | −0.771384 | − | 0.636370i | \(-0.780435\pi\) |
0.936805 | + | 0.349853i | \(0.113768\pi\) | |||||||
\(882\) | −15.3889 | − | 26.6544i | −0.518172 | − | 0.897500i | ||||
\(883\) | 5.28801 | − | 29.9898i | 0.177956 | − | 1.00924i | −0.756721 | − | 0.653738i | \(-0.773200\pi\) |
0.934677 | − | 0.355499i | \(-0.115689\pi\) | |||||||
\(884\) | −2.95022 | + | 16.7315i | −0.0992265 | + | 0.562742i | ||||
\(885\) | 8.17511 | + | 14.1597i | 0.274803 | + | 0.475973i | ||||
\(886\) | 11.3892 | − | 19.7267i | 0.382629 | − | 0.662733i | ||||
\(887\) | 9.42994 | + | 7.91266i | 0.316627 | + | 0.265681i | 0.787224 | − | 0.616667i | \(-0.211517\pi\) |
−0.470598 | + | 0.882348i | \(0.655962\pi\) | |||||||
\(888\) | 10.8017 | + | 3.93151i | 0.362482 | + | 0.131933i | ||||
\(889\) | 29.4986 | − | 10.7366i | 0.989352 | − | 0.360095i | ||||
\(890\) | −0.755257 | + | 0.633736i | −0.0253163 | + | 0.0212429i | ||||
\(891\) | −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 | ||||||||
\(895\) | 0.989705 | + | 5.61290i | 0.0330822 | + | 0.187619i | ||||
\(896\) | −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 | ||||
\(900\) | −4.37893 | + | 7.58452i | −0.145964 | + | 0.252817i | ||||
\(901\) | −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 | ||||
\(905\) | 9.25063 | − | 16.0226i | 0.307501 | − | 0.532608i | ||||
\(906\) | 3.25318 | + | 2.72975i | 0.108080 | + | 0.0906897i | ||||
\(907\) | 38.3564 | + | 13.9606i | 1.27360 | + | 0.463554i | 0.888312 | − | 0.459241i | \(-0.151879\pi\) |
0.385292 | + | 0.922795i | \(0.374101\pi\) | |||||||
\(908\) | −14.6736 | + | 5.34077i | −0.486962 | + | 0.177240i | ||||
\(909\) | −13.1515 | + | 11.0354i | −0.436207 | + | 0.366021i | ||||
\(910\) | 0.919727 | + | 5.21603i | 0.0304887 | + | 0.172910i | ||||
\(911\) | 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 | ||||
\(915\) | 21.6349 | − | 18.1538i | 0.715226 | − | 0.600146i | ||||
\(916\) | −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 | −0.139143 | − | 0.990272i | \(-0.544435\pi\) |
0.927172 | − | 0.374635i | \(-0.122232\pi\) | |||||||
\(920\) | 2.54388 | + | 4.40612i | 0.0838691 | + | 0.145266i | ||||
\(921\) | −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 | ||||
\(925\) | 2.56801 | + | 2.15482i | 0.0844358 | + | 0.0708501i | ||||
\(926\) | −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 | −0.744561 | − | 0.667555i | \(-0.767341\pi\) |
0.471341 | − | 0.881951i | \(-0.343770\pi\) | |||||||
\(930\) | 17.8260 | 0.584537 | ||||||||
\(931\) | 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 | ||||
\(935\) | 20.2881 | − | 7.38425i | 0.663491 | − | 0.241491i | ||||
\(936\) | −23.3468 | − | 8.49755i | −0.763115 | − | 0.277751i | ||||
\(937\) | 29.1684 | + | 24.4752i | 0.952890 | + | 0.799570i | 0.979782 | − | 0.200068i | \(-0.0641164\pi\) |
−0.0268915 | + | 0.999638i | \(0.508561\pi\) | |||||||
\(938\) | 7.43425 | − | 12.8765i | 0.242737 | − | 0.420433i | ||||
\(939\) | 0.475128 | + | 0.822946i | 0.0155052 | + | 0.0268558i | ||||
\(940\) | −1.09789 | + | 6.22647i | −0.0358093 | + | 0.203085i | ||||
\(941\) | −6.81969 | + | 38.6764i | −0.222315 | + | 1.26081i | 0.645436 | + | 0.763815i | \(0.276676\pi\) |
−0.867751 | + | 0.496999i | \(0.834435\pi\) | |||||||
\(942\) | −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 | ||||
\(945\) | −34.6381 | − | 12.6072i | −1.12678 | − | 0.410114i | ||||
\(946\) | −2.27570 | + | 0.828287i | −0.0739894 | + | 0.0269299i | ||||
\(947\) | −5.48561 | + | 4.60297i | −0.178258 | + | 0.149577i | −0.727551 | − | 0.686053i | \(-0.759342\pi\) |
0.549293 | + | 0.835630i | \(0.314897\pi\) | |||||||
\(948\) | −0.357967 | − | 2.03013i | −0.0116262 | − | 0.0659355i | ||||
\(949\) | 14.2186 | 0.461555 | ||||||||
\(950\) | 2.66037 | − | 3.45289i | 0.0863139 | − | 0.112026i | ||||
\(951\) | 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 | \(-0.903141\pi\) |
0.129393 | + | 0.991593i | \(0.458697\pi\) | |||||||
\(954\) | 21.0811 | − | 7.67290i | 0.682526 | − | 0.248419i | ||||
\(955\) | −17.7433 | − | 6.45804i | −0.574160 | − | 0.208977i | ||||
\(956\) | 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 | ||||
\(960\) | 0.595435 | − | 3.37688i | 0.0192176 | − | 0.108988i | ||||
\(961\) | 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 | ||||
\(965\) | −4.58914 | + | 1.67031i | −0.147730 | + | 0.0537692i | ||||
\(966\) | −24.9510 | + | 20.9364i | −0.802786 | + | 0.673617i | ||||
\(967\) | −4.38031 | − | 24.8420i | −0.140861 | − | 0.798864i | −0.970597 | − | 0.240708i | \(-0.922620\pi\) |
0.829736 | − | 0.558156i | \(-0.188491\pi\) | |||||||
\(968\) | −1.99666 | −0.0641751 | ||||||||
\(969\) | 60.3424 | + | 66.1146i | 1.93848 | + | 2.12391i | ||||
\(970\) | 0.187561 | 0.00602223 | ||||||||
\(971\) | 7.59334 | + | 43.0640i | 0.243682 | + | 1.38199i | 0.823534 | + | 0.567267i | \(0.191999\pi\) |
−0.579852 | + | 0.814722i | \(0.696890\pi\) | |||||||
\(972\) | 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 | ||||
\(975\) | −7.45182 | − | 6.25282i | −0.238649 | − | 0.200251i | ||||
\(976\) | −4.11819 | + | 7.13291i | −0.131820 | + | 0.228319i | ||||
\(977\) | 0.00239184 | + | 0.00414279i | 7.65217e−5 | + | 0.000132539i | 0.866064 | − | 0.499934i | \(-0.166642\pi\) |
−0.865987 | + | 0.500066i | \(0.833309\pi\) | |||||||
\(978\) | −10.7303 | + | 60.8548i | −0.343118 | + | 1.94592i | ||||
\(979\) | −0.617201 | + | 3.50032i | −0.0197258 | + | 0.111871i | ||||
\(980\) | 1.75716 | + | 3.04348i | 0.0561303 | + | 0.0972205i | ||||
\(981\) | 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 | \(-0.589683\pi\) |
−0.830430 | + | 0.557123i | \(0.811905\pi\) | |||||||
\(984\) | −12.0049 | + | 4.36943i | −0.382703 | + | 0.139292i | ||||
\(985\) | −2.69454 | + | 2.26099i | −0.0858552 | + | 0.0720410i | ||||
\(986\) | −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 | ||||||||
\(990\) | 5.48256 | + | 31.0932i | 0.174247 | + | 0.988206i | ||||
\(991\) | −4.48081 | + | 3.75985i | −0.142338 | + | 0.119435i | −0.711176 | − | 0.703014i | \(-0.751837\pi\) |
0.568839 | + | 0.822449i | \(0.307393\pi\) | |||||||
\(992\) | −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 | ||||
\(995\) | 0.420258 | − | 0.727908i | 0.0133231 | − | 0.0230763i | ||||
\(996\) | 3.26235 | + | 5.65056i | 0.103372 | + | 0.179045i | ||||
\(997\) | −10.0610 | + | 57.0588i | −0.318635 | + | 1.80707i | 0.232437 | + | 0.972612i | \(0.425330\pi\) |
−0.551072 | + | 0.834458i | \(0.685781\pi\) | |||||||
\(998\) | 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 | 190.2.k.d.161.3 | yes | 18 | |
5.2 | odd | 4 | 950.2.u.g.199.4 | 36 | |||
5.3 | odd | 4 | 950.2.u.g.199.3 | 36 | |||
5.4 | even | 2 | 950.2.l.i.351.1 | 18 | |||
19.6 | even | 9 | 3610.2.a.bi.1.9 | 9 | |||
19.13 | odd | 18 | 3610.2.a.bj.1.1 | 9 | |||
19.17 | even | 9 | inner | 190.2.k.d.131.3 | ✓ | 18 | |
95.17 | odd | 36 | 950.2.u.g.549.3 | 36 | |||
95.74 | even | 18 | 950.2.l.i.701.1 | 18 | |||
95.93 | odd | 36 | 950.2.u.g.549.4 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
190.2.k.d.131.3 | ✓ | 18 | 19.17 | even | 9 | inner | |
190.2.k.d.161.3 | yes | 18 | 1.1 | even | 1 | trivial | |
950.2.l.i.351.1 | 18 | 5.4 | even | 2 | |||
950.2.l.i.701.1 | 18 | 95.74 | even | 18 | |||
950.2.u.g.199.3 | 36 | 5.3 | odd | 4 | |||
950.2.u.g.199.4 | 36 | 5.2 | odd | 4 | |||
950.2.u.g.549.3 | 36 | 95.17 | odd | 36 | |||
950.2.u.g.549.4 | 36 | 95.93 | odd | 36 | |||
3610.2.a.bi.1.9 | 9 | 19.6 | even | 9 | |||
3610.2.a.bj.1.1 | 9 | 19.13 | odd | 18 |