Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,2,Mod(22,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.22");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.f (of order \(3\), degree \(2\), 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: | \(0.726638658394\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 29.2 | ||
Root | \(-0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 91.29 |
Dual form | 91.2.f.b.22.2 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 1.50000i | 0.612372 | + | 1.06066i | 0.990839 | + | 0.135045i | \(0.0431180\pi\) |
−0.378467 | + | 0.925615i | \(0.623549\pi\) | |||||||
\(3\) | 0.366025 | + | 0.633975i | 0.211325 | + | 0.366025i | 0.952129 | − | 0.305695i | \(-0.0988889\pi\) |
−0.740805 | + | 0.671721i | \(0.765556\pi\) | |||||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.73205 | −0.774597 | −0.387298 | − | 0.921954i | \(-0.626592\pi\) | ||||
−0.387298 | + | 0.921954i | \(0.626592\pi\) | |||||||
\(6\) | −0.633975 | + | 1.09808i | −0.258819 | + | 0.448288i | ||||
\(7\) | −0.500000 | + | 0.866025i | −0.188982 | + | 0.327327i | ||||
\(8\) | 1.73205 | 0.612372 | ||||||||
\(9\) | 1.23205 | − | 2.13397i | 0.410684 | − | 0.711325i | ||||
\(10\) | −1.50000 | − | 2.59808i | −0.474342 | − | 0.821584i | ||||
\(11\) | −2.36603 | − | 4.09808i | −0.713384 | − | 1.23562i | −0.963580 | − | 0.267421i | \(-0.913828\pi\) |
0.250196 | − | 0.968195i | \(-0.419505\pi\) | |||||||
\(12\) | −0.732051 | −0.211325 | ||||||||
\(13\) | −1.59808 | + | 3.23205i | −0.443227 | + | 0.896410i | ||||
\(14\) | −1.73205 | −0.462910 | ||||||||
\(15\) | −0.633975 | − | 1.09808i | −0.163692 | − | 0.283522i | ||||
\(16\) | 2.50000 | + | 4.33013i | 0.625000 | + | 1.08253i | ||||
\(17\) | 2.13397 | − | 3.69615i | 0.517565 | − | 0.896449i | −0.482227 | − | 0.876046i | \(-0.660172\pi\) |
0.999792 | − | 0.0204023i | \(-0.00649471\pi\) | |||||||
\(18\) | 4.26795 | 1.00597 | ||||||||
\(19\) | −1.00000 | + | 1.73205i | −0.229416 | + | 0.397360i | −0.957635 | − | 0.287984i | \(-0.907015\pi\) |
0.728219 | + | 0.685344i | \(0.240348\pi\) | |||||||
\(20\) | 0.866025 | − | 1.50000i | 0.193649 | − | 0.335410i | ||||
\(21\) | −0.732051 | −0.159747 | ||||||||
\(22\) | 4.09808 | − | 7.09808i | 0.873713 | − | 1.51331i | ||||
\(23\) | −0.633975 | − | 1.09808i | −0.132193 | − | 0.228965i | 0.792329 | − | 0.610094i | \(-0.208868\pi\) |
−0.924522 | + | 0.381130i | \(0.875535\pi\) | |||||||
\(24\) | 0.633975 | + | 1.09808i | 0.129410 | + | 0.224144i | ||||
\(25\) | −2.00000 | −0.400000 | ||||||||
\(26\) | −6.23205 | + | 0.401924i | −1.22221 | + | 0.0788237i | ||||
\(27\) | 4.00000 | 0.769800 | ||||||||
\(28\) | −0.500000 | − | 0.866025i | −0.0944911 | − | 0.163663i | ||||
\(29\) | 1.50000 | + | 2.59808i | 0.278543 | + | 0.482451i | 0.971023 | − | 0.238987i | \(-0.0768152\pi\) |
−0.692480 | + | 0.721437i | \(0.743482\pi\) | |||||||
\(30\) | 1.09808 | − | 1.90192i | 0.200480 | − | 0.347242i | ||||
\(31\) | −6.19615 | −1.11286 | −0.556431 | − | 0.830894i | \(-0.687830\pi\) | ||||
−0.556431 | + | 0.830894i | \(0.687830\pi\) | |||||||
\(32\) | −2.59808 | + | 4.50000i | −0.459279 | + | 0.795495i | ||||
\(33\) | 1.73205 | − | 3.00000i | 0.301511 | − | 0.522233i | ||||
\(34\) | 7.39230 | 1.26777 | ||||||||
\(35\) | 0.866025 | − | 1.50000i | 0.146385 | − | 0.253546i | ||||
\(36\) | 1.23205 | + | 2.13397i | 0.205342 | + | 0.355662i | ||||
\(37\) | 3.50000 | + | 6.06218i | 0.575396 | + | 0.996616i | 0.995998 | + | 0.0893706i | \(0.0284856\pi\) |
−0.420602 | + | 0.907245i | \(0.638181\pi\) | |||||||
\(38\) | −3.46410 | −0.561951 | ||||||||
\(39\) | −2.63397 | + | 0.169873i | −0.421773 | + | 0.0272014i | ||||
\(40\) | −3.00000 | −0.474342 | ||||||||
\(41\) | −2.59808 | − | 4.50000i | −0.405751 | − | 0.702782i | 0.588657 | − | 0.808383i | \(-0.299657\pi\) |
−0.994409 | + | 0.105601i | \(0.966323\pi\) | |||||||
\(42\) | −0.633975 | − | 1.09808i | −0.0978244 | − | 0.169437i | ||||
\(43\) | −5.09808 | + | 8.83013i | −0.777449 | + | 1.34658i | 0.155958 | + | 0.987764i | \(0.450153\pi\) |
−0.933408 | + | 0.358818i | \(0.883180\pi\) | |||||||
\(44\) | 4.73205 | 0.713384 | ||||||||
\(45\) | −2.13397 | + | 3.69615i | −0.318114 | + | 0.550990i | ||||
\(46\) | 1.09808 | − | 1.90192i | 0.161903 | − | 0.280423i | ||||
\(47\) | −0.928203 | −0.135392 | −0.0676962 | − | 0.997706i | \(-0.521565\pi\) | ||||
−0.0676962 | + | 0.997706i | \(0.521565\pi\) | |||||||
\(48\) | −1.83013 | + | 3.16987i | −0.264156 | + | 0.457532i | ||||
\(49\) | −0.500000 | − | 0.866025i | −0.0714286 | − | 0.123718i | ||||
\(50\) | −1.73205 | − | 3.00000i | −0.244949 | − | 0.424264i | ||||
\(51\) | 3.12436 | 0.437497 | ||||||||
\(52\) | −2.00000 | − | 3.00000i | −0.277350 | − | 0.416025i | ||||
\(53\) | 3.92820 | 0.539580 | 0.269790 | − | 0.962919i | \(-0.413046\pi\) | ||||
0.269790 | + | 0.962919i | \(0.413046\pi\) | |||||||
\(54\) | 3.46410 | + | 6.00000i | 0.471405 | + | 0.816497i | ||||
\(55\) | 4.09808 | + | 7.09808i | 0.552584 | + | 0.957104i | ||||
\(56\) | −0.866025 | + | 1.50000i | −0.115728 | + | 0.200446i | ||||
\(57\) | −1.46410 | −0.193925 | ||||||||
\(58\) | −2.59808 | + | 4.50000i | −0.341144 | + | 0.590879i | ||||
\(59\) | −5.36603 | + | 9.29423i | −0.698597 | + | 1.21001i | 0.270356 | + | 0.962760i | \(0.412859\pi\) |
−0.968953 | + | 0.247245i | \(0.920475\pi\) | |||||||
\(60\) | 1.26795 | 0.163692 | ||||||||
\(61\) | 7.59808 | − | 13.1603i | 0.972834 | − | 1.68500i | 0.285929 | − | 0.958251i | \(-0.407698\pi\) |
0.686905 | − | 0.726747i | \(-0.258969\pi\) | |||||||
\(62\) | −5.36603 | − | 9.29423i | −0.681486 | − | 1.18037i | ||||
\(63\) | 1.23205 | + | 2.13397i | 0.155224 | + | 0.268856i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 2.76795 | − | 5.59808i | 0.343322 | − | 0.694356i | ||||
\(66\) | 6.00000 | 0.738549 | ||||||||
\(67\) | −2.09808 | − | 3.63397i | −0.256321 | − | 0.443961i | 0.708933 | − | 0.705276i | \(-0.249177\pi\) |
−0.965253 | + | 0.261316i | \(0.915844\pi\) | |||||||
\(68\) | 2.13397 | + | 3.69615i | 0.258782 | + | 0.448224i | ||||
\(69\) | 0.464102 | − | 0.803848i | 0.0558713 | − | 0.0967719i | ||||
\(70\) | 3.00000 | 0.358569 | ||||||||
\(71\) | −3.00000 | + | 5.19615i | −0.356034 | + | 0.616670i | −0.987294 | − | 0.158901i | \(-0.949205\pi\) |
0.631260 | + | 0.775571i | \(0.282538\pi\) | |||||||
\(72\) | 2.13397 | − | 3.69615i | 0.251491 | − | 0.435596i | ||||
\(73\) | 7.19615 | 0.842246 | 0.421123 | − | 0.907004i | \(-0.361636\pi\) | ||||
0.421123 | + | 0.907004i | \(0.361636\pi\) | |||||||
\(74\) | −6.06218 | + | 10.5000i | −0.704714 | + | 1.22060i | ||||
\(75\) | −0.732051 | − | 1.26795i | −0.0845299 | − | 0.146410i | ||||
\(76\) | −1.00000 | − | 1.73205i | −0.114708 | − | 0.198680i | ||||
\(77\) | 4.73205 | 0.539267 | ||||||||
\(78\) | −2.53590 | − | 3.80385i | −0.287134 | − | 0.430701i | ||||
\(79\) | 5.80385 | 0.652984 | 0.326492 | − | 0.945200i | \(-0.394133\pi\) | ||||
0.326492 | + | 0.945200i | \(0.394133\pi\) | |||||||
\(80\) | −4.33013 | − | 7.50000i | −0.484123 | − | 0.838525i | ||||
\(81\) | −2.23205 | − | 3.86603i | −0.248006 | − | 0.429558i | ||||
\(82\) | 4.50000 | − | 7.79423i | 0.496942 | − | 0.860729i | ||||
\(83\) | 8.19615 | 0.899645 | 0.449822 | − | 0.893118i | \(-0.351487\pi\) | ||||
0.449822 | + | 0.893118i | \(0.351487\pi\) | |||||||
\(84\) | 0.366025 | − | 0.633975i | 0.0399366 | − | 0.0691723i | ||||
\(85\) | −3.69615 | + | 6.40192i | −0.400904 | + | 0.694386i | ||||
\(86\) | −17.6603 | −1.90435 | ||||||||
\(87\) | −1.09808 | + | 1.90192i | −0.117726 | + | 0.203908i | ||||
\(88\) | −4.09808 | − | 7.09808i | −0.436856 | − | 0.756657i | ||||
\(89\) | 0.464102 | + | 0.803848i | 0.0491947 | + | 0.0852077i | 0.889574 | − | 0.456791i | \(-0.151001\pi\) |
−0.840379 | + | 0.541998i | \(0.817668\pi\) | |||||||
\(90\) | −7.39230 | −0.779217 | ||||||||
\(91\) | −2.00000 | − | 3.00000i | −0.209657 | − | 0.314485i | ||||
\(92\) | 1.26795 | 0.132193 | ||||||||
\(93\) | −2.26795 | − | 3.92820i | −0.235175 | − | 0.407336i | ||||
\(94\) | −0.803848 | − | 1.39230i | −0.0829105 | − | 0.143605i | ||||
\(95\) | 1.73205 | − | 3.00000i | 0.177705 | − | 0.307794i | ||||
\(96\) | −3.80385 | −0.388229 | ||||||||
\(97\) | 7.19615 | − | 12.4641i | 0.730659 | − | 1.26554i | −0.225944 | − | 0.974140i | \(-0.572546\pi\) |
0.956602 | − | 0.291397i | \(-0.0941202\pi\) | |||||||
\(98\) | 0.866025 | − | 1.50000i | 0.0874818 | − | 0.151523i | ||||
\(99\) | −11.6603 | −1.17190 | ||||||||
\(100\) | 1.00000 | − | 1.73205i | 0.100000 | − | 0.173205i | ||||
\(101\) | 2.13397 | + | 3.69615i | 0.212338 | + | 0.367781i | 0.952446 | − | 0.304708i | \(-0.0985588\pi\) |
−0.740108 | + | 0.672489i | \(0.765225\pi\) | |||||||
\(102\) | 2.70577 | + | 4.68653i | 0.267911 | + | 0.464036i | ||||
\(103\) | 6.39230 | 0.629853 | 0.314926 | − | 0.949116i | \(-0.398020\pi\) | ||||
0.314926 | + | 0.949116i | \(0.398020\pi\) | |||||||
\(104\) | −2.76795 | + | 5.59808i | −0.271420 | + | 0.548937i | ||||
\(105\) | 1.26795 | 0.123739 | ||||||||
\(106\) | 3.40192 | + | 5.89230i | 0.330424 | + | 0.572311i | ||||
\(107\) | −9.92820 | − | 17.1962i | −0.959796 | − | 1.66241i | −0.722991 | − | 0.690858i | \(-0.757233\pi\) |
−0.236805 | − | 0.971557i | \(-0.576100\pi\) | |||||||
\(108\) | −2.00000 | + | 3.46410i | −0.192450 | + | 0.333333i | ||||
\(109\) | 12.3923 | 1.18697 | 0.593484 | − | 0.804846i | \(-0.297752\pi\) | ||||
0.593484 | + | 0.804846i | \(0.297752\pi\) | |||||||
\(110\) | −7.09808 | + | 12.2942i | −0.676775 | + | 1.17221i | ||||
\(111\) | −2.56218 | + | 4.43782i | −0.243191 | + | 0.421219i | ||||
\(112\) | −5.00000 | −0.472456 | ||||||||
\(113\) | 3.69615 | − | 6.40192i | 0.347705 | − | 0.602242i | −0.638137 | − | 0.769923i | \(-0.720294\pi\) |
0.985841 | + | 0.167681i | \(0.0536278\pi\) | |||||||
\(114\) | −1.26795 | − | 2.19615i | −0.118754 | − | 0.205689i | ||||
\(115\) | 1.09808 | + | 1.90192i | 0.102396 | + | 0.177355i | ||||
\(116\) | −3.00000 | −0.278543 | ||||||||
\(117\) | 4.92820 | + | 7.39230i | 0.455613 | + | 0.683419i | ||||
\(118\) | −18.5885 | −1.71121 | ||||||||
\(119\) | 2.13397 | + | 3.69615i | 0.195621 | + | 0.338826i | ||||
\(120\) | −1.09808 | − | 1.90192i | −0.100240 | − | 0.173621i | ||||
\(121\) | −5.69615 | + | 9.86603i | −0.517832 | + | 0.896911i | ||||
\(122\) | 26.3205 | 2.38295 | ||||||||
\(123\) | 1.90192 | − | 3.29423i | 0.171491 | − | 0.297031i | ||||
\(124\) | 3.09808 | − | 5.36603i | 0.278215 | − | 0.481883i | ||||
\(125\) | 12.1244 | 1.08444 | ||||||||
\(126\) | −2.13397 | + | 3.69615i | −0.190110 | + | 0.329279i | ||||
\(127\) | 1.19615 | + | 2.07180i | 0.106141 | + | 0.183842i | 0.914204 | − | 0.405254i | \(-0.132817\pi\) |
−0.808063 | + | 0.589097i | \(0.799484\pi\) | |||||||
\(128\) | 6.06218 | + | 10.5000i | 0.535826 | + | 0.928078i | ||||
\(129\) | −7.46410 | −0.657178 | ||||||||
\(130\) | 10.7942 | − | 0.696152i | 0.946716 | − | 0.0610566i | ||||
\(131\) | 3.46410 | 0.302660 | 0.151330 | − | 0.988483i | \(-0.451644\pi\) | ||||
0.151330 | + | 0.988483i | \(0.451644\pi\) | |||||||
\(132\) | 1.73205 | + | 3.00000i | 0.150756 | + | 0.261116i | ||||
\(133\) | −1.00000 | − | 1.73205i | −0.0867110 | − | 0.150188i | ||||
\(134\) | 3.63397 | − | 6.29423i | 0.313928 | − | 0.543739i | ||||
\(135\) | −6.92820 | −0.596285 | ||||||||
\(136\) | 3.69615 | − | 6.40192i | 0.316942 | − | 0.548960i | ||||
\(137\) | −10.9641 | + | 18.9904i | −0.936726 | + | 1.62246i | −0.165200 | + | 0.986260i | \(0.552827\pi\) |
−0.771526 | + | 0.636198i | \(0.780506\pi\) | |||||||
\(138\) | 1.60770 | 0.136856 | ||||||||
\(139\) | −10.2942 | + | 17.8301i | −0.873145 | + | 1.51233i | −0.0144194 | + | 0.999896i | \(0.504590\pi\) |
−0.858726 | + | 0.512436i | \(0.828743\pi\) | |||||||
\(140\) | 0.866025 | + | 1.50000i | 0.0731925 | + | 0.126773i | ||||
\(141\) | −0.339746 | − | 0.588457i | −0.0286118 | − | 0.0495570i | ||||
\(142\) | −10.3923 | −0.872103 | ||||||||
\(143\) | 17.0263 | − | 1.09808i | 1.42381 | − | 0.0918257i | ||||
\(144\) | 12.3205 | 1.02671 | ||||||||
\(145\) | −2.59808 | − | 4.50000i | −0.215758 | − | 0.373705i | ||||
\(146\) | 6.23205 | + | 10.7942i | 0.515768 | + | 0.893337i | ||||
\(147\) | 0.366025 | − | 0.633975i | 0.0301893 | − | 0.0522893i | ||||
\(148\) | −7.00000 | −0.575396 | ||||||||
\(149\) | −0.232051 | + | 0.401924i | −0.0190103 | + | 0.0329269i | −0.875374 | − | 0.483446i | \(-0.839385\pi\) |
0.856364 | + | 0.516373i | \(0.172718\pi\) | |||||||
\(150\) | 1.26795 | − | 2.19615i | 0.103528 | − | 0.179315i | ||||
\(151\) | 2.00000 | 0.162758 | 0.0813788 | − | 0.996683i | \(-0.474068\pi\) | ||||
0.0813788 | + | 0.996683i | \(0.474068\pi\) | |||||||
\(152\) | −1.73205 | + | 3.00000i | −0.140488 | + | 0.243332i | ||||
\(153\) | −5.25833 | − | 9.10770i | −0.425111 | − | 0.736314i | ||||
\(154\) | 4.09808 | + | 7.09808i | 0.330232 | + | 0.571979i | ||||
\(155\) | 10.7321 | 0.862019 | ||||||||
\(156\) | 1.16987 | − | 2.36603i | 0.0936648 | − | 0.189434i | ||||
\(157\) | −9.19615 | −0.733933 | −0.366966 | − | 0.930234i | \(-0.619604\pi\) | ||||
−0.366966 | + | 0.930234i | \(0.619604\pi\) | |||||||
\(158\) | 5.02628 | + | 8.70577i | 0.399869 | + | 0.692594i | ||||
\(159\) | 1.43782 | + | 2.49038i | 0.114027 | + | 0.197500i | ||||
\(160\) | 4.50000 | − | 7.79423i | 0.355756 | − | 0.616188i | ||||
\(161\) | 1.26795 | 0.0999284 | ||||||||
\(162\) | 3.86603 | − | 6.69615i | 0.303744 | − | 0.526099i | ||||
\(163\) | −2.90192 | + | 5.02628i | −0.227296 | + | 0.393689i | −0.957006 | − | 0.290069i | \(-0.906322\pi\) |
0.729710 | + | 0.683757i | \(0.239655\pi\) | |||||||
\(164\) | 5.19615 | 0.405751 | ||||||||
\(165\) | −3.00000 | + | 5.19615i | −0.233550 | + | 0.404520i | ||||
\(166\) | 7.09808 | + | 12.2942i | 0.550918 | + | 0.954217i | ||||
\(167\) | −12.2942 | − | 21.2942i | −0.951356 | − | 1.64780i | −0.742495 | − | 0.669852i | \(-0.766358\pi\) |
−0.208861 | − | 0.977945i | \(-0.566976\pi\) | |||||||
\(168\) | −1.26795 | −0.0978244 | ||||||||
\(169\) | −7.89230 | − | 10.3301i | −0.607100 | − | 0.794625i | ||||
\(170\) | −12.8038 | −0.982010 | ||||||||
\(171\) | 2.46410 | + | 4.26795i | 0.188435 | + | 0.326378i | ||||
\(172\) | −5.09808 | − | 8.83013i | −0.388725 | − | 0.673291i | ||||
\(173\) | −7.73205 | + | 13.3923i | −0.587857 | + | 1.01820i | 0.406656 | + | 0.913581i | \(0.366695\pi\) |
−0.994513 | + | 0.104617i | \(0.966638\pi\) | |||||||
\(174\) | −3.80385 | −0.288369 | ||||||||
\(175\) | 1.00000 | − | 1.73205i | 0.0755929 | − | 0.130931i | ||||
\(176\) | 11.8301 | − | 20.4904i | 0.891729 | − | 1.54452i | ||||
\(177\) | −7.85641 | −0.590524 | ||||||||
\(178\) | −0.803848 | + | 1.39230i | −0.0602509 | + | 0.104358i | ||||
\(179\) | −3.46410 | − | 6.00000i | −0.258919 | − | 0.448461i | 0.707034 | − | 0.707180i | \(-0.250033\pi\) |
−0.965953 | + | 0.258719i | \(0.916700\pi\) | |||||||
\(180\) | −2.13397 | − | 3.69615i | −0.159057 | − | 0.275495i | ||||
\(181\) | −25.5885 | −1.90198 | −0.950988 | − | 0.309229i | \(-0.899929\pi\) | ||||
−0.950988 | + | 0.309229i | \(0.899929\pi\) | |||||||
\(182\) | 2.76795 | − | 5.59808i | 0.205174 | − | 0.414957i | ||||
\(183\) | 11.1244 | 0.822336 | ||||||||
\(184\) | −1.09808 | − | 1.90192i | −0.0809513 | − | 0.140212i | ||||
\(185\) | −6.06218 | − | 10.5000i | −0.445700 | − | 0.771975i | ||||
\(186\) | 3.92820 | − | 6.80385i | 0.288030 | − | 0.498882i | ||||
\(187\) | −20.1962 | −1.47689 | ||||||||
\(188\) | 0.464102 | − | 0.803848i | 0.0338481 | − | 0.0586266i | ||||
\(189\) | −2.00000 | + | 3.46410i | −0.145479 | + | 0.251976i | ||||
\(190\) | 6.00000 | 0.435286 | ||||||||
\(191\) | −0.633975 | + | 1.09808i | −0.0458728 | + | 0.0794540i | −0.888050 | − | 0.459747i | \(-0.847940\pi\) |
0.842177 | + | 0.539201i | \(0.181274\pi\) | |||||||
\(192\) | 0.366025 | + | 0.633975i | 0.0264156 | + | 0.0457532i | ||||
\(193\) | −2.50000 | − | 4.33013i | −0.179954 | − | 0.311689i | 0.761911 | − | 0.647682i | \(-0.224262\pi\) |
−0.941865 | + | 0.335993i | \(0.890928\pi\) | |||||||
\(194\) | 24.9282 | 1.78974 | ||||||||
\(195\) | 4.56218 | − | 0.294229i | 0.326704 | − | 0.0210702i | ||||
\(196\) | 1.00000 | 0.0714286 | ||||||||
\(197\) | −6.00000 | − | 10.3923i | −0.427482 | − | 0.740421i | 0.569166 | − | 0.822222i | \(-0.307266\pi\) |
−0.996649 | + | 0.0818013i | \(0.973933\pi\) | |||||||
\(198\) | −10.0981 | − | 17.4904i | −0.717639 | − | 1.24299i | ||||
\(199\) | −1.00000 | + | 1.73205i | −0.0708881 | + | 0.122782i | −0.899291 | − | 0.437351i | \(-0.855917\pi\) |
0.828403 | + | 0.560133i | \(0.189250\pi\) | |||||||
\(200\) | −3.46410 | −0.244949 | ||||||||
\(201\) | 1.53590 | − | 2.66025i | 0.108334 | − | 0.187640i | ||||
\(202\) | −3.69615 | + | 6.40192i | −0.260060 | + | 0.450438i | ||||
\(203\) | −3.00000 | −0.210559 | ||||||||
\(204\) | −1.56218 | + | 2.70577i | −0.109374 | + | 0.189442i | ||||
\(205\) | 4.50000 | + | 7.79423i | 0.314294 | + | 0.544373i | ||||
\(206\) | 5.53590 | + | 9.58846i | 0.385704 | + | 0.668059i | ||||
\(207\) | −3.12436 | −0.217158 | ||||||||
\(208\) | −17.9904 | + | 1.16025i | −1.24741 | + | 0.0804491i | ||||
\(209\) | 9.46410 | 0.654646 | ||||||||
\(210\) | 1.09808 | + | 1.90192i | 0.0757745 | + | 0.131245i | ||||
\(211\) | 6.09808 | + | 10.5622i | 0.419809 | + | 0.727130i | 0.995920 | − | 0.0902411i | \(-0.0287638\pi\) |
−0.576111 | + | 0.817371i | \(0.695430\pi\) | |||||||
\(212\) | −1.96410 | + | 3.40192i | −0.134895 | + | 0.233645i | ||||
\(213\) | −4.39230 | −0.300956 | ||||||||
\(214\) | 17.1962 | − | 29.7846i | 1.17550 | − | 2.03603i | ||||
\(215\) | 8.83013 | − | 15.2942i | 0.602210 | − | 1.04306i | ||||
\(216\) | 6.92820 | 0.471405 | ||||||||
\(217\) | 3.09808 | − | 5.36603i | 0.210311 | − | 0.364270i | ||||
\(218\) | 10.7321 | + | 18.5885i | 0.726866 | + | 1.25897i | ||||
\(219\) | 2.63397 | + | 4.56218i | 0.177988 | + | 0.308283i | ||||
\(220\) | −8.19615 | −0.552584 | ||||||||
\(221\) | 8.53590 | + | 12.8038i | 0.574187 | + | 0.861280i | ||||
\(222\) | −8.87564 | −0.595694 | ||||||||
\(223\) | 5.00000 | + | 8.66025i | 0.334825 | + | 0.579934i | 0.983451 | − | 0.181173i | \(-0.0579895\pi\) |
−0.648626 | + | 0.761107i | \(0.724656\pi\) | |||||||
\(224\) | −2.59808 | − | 4.50000i | −0.173591 | − | 0.300669i | ||||
\(225\) | −2.46410 | + | 4.26795i | −0.164273 | + | 0.284530i | ||||
\(226\) | 12.8038 | 0.851699 | ||||||||
\(227\) | 5.83013 | − | 10.0981i | 0.386959 | − | 0.670233i | −0.605080 | − | 0.796165i | \(-0.706859\pi\) |
0.992039 | + | 0.125932i | \(0.0401921\pi\) | |||||||
\(228\) | 0.732051 | − | 1.26795i | 0.0484812 | − | 0.0839720i | ||||
\(229\) | 6.39230 | 0.422415 | 0.211208 | − | 0.977441i | \(-0.432260\pi\) | ||||
0.211208 | + | 0.977441i | \(0.432260\pi\) | |||||||
\(230\) | −1.90192 | + | 3.29423i | −0.125409 | + | 0.217215i | ||||
\(231\) | 1.73205 | + | 3.00000i | 0.113961 | + | 0.197386i | ||||
\(232\) | 2.59808 | + | 4.50000i | 0.170572 | + | 0.295439i | ||||
\(233\) | 25.8564 | 1.69391 | 0.846955 | − | 0.531665i | \(-0.178433\pi\) | ||||
0.846955 | + | 0.531665i | \(0.178433\pi\) | |||||||
\(234\) | −6.82051 | + | 13.7942i | −0.445871 | + | 0.901757i | ||||
\(235\) | 1.60770 | 0.104874 | ||||||||
\(236\) | −5.36603 | − | 9.29423i | −0.349299 | − | 0.605003i | ||||
\(237\) | 2.12436 | + | 3.67949i | 0.137992 | + | 0.239009i | ||||
\(238\) | −3.69615 | + | 6.40192i | −0.239586 | + | 0.414975i | ||||
\(239\) | −26.1962 | −1.69449 | −0.847244 | − | 0.531204i | \(-0.821740\pi\) | ||||
−0.847244 | + | 0.531204i | \(0.821740\pi\) | |||||||
\(240\) | 3.16987 | − | 5.49038i | 0.204614 | − | 0.354403i | ||||
\(241\) | 5.40192 | − | 9.35641i | 0.347969 | − | 0.602699i | −0.637920 | − | 0.770103i | \(-0.720205\pi\) |
0.985888 | + | 0.167404i | \(0.0535383\pi\) | |||||||
\(242\) | −19.7321 | −1.26842 | ||||||||
\(243\) | 7.63397 | − | 13.2224i | 0.489720 | − | 0.848219i | ||||
\(244\) | 7.59808 | + | 13.1603i | 0.486417 | + | 0.842499i | ||||
\(245\) | 0.866025 | + | 1.50000i | 0.0553283 | + | 0.0958315i | ||||
\(246\) | 6.58846 | 0.420065 | ||||||||
\(247\) | −4.00000 | − | 6.00000i | −0.254514 | − | 0.381771i | ||||
\(248\) | −10.7321 | −0.681486 | ||||||||
\(249\) | 3.00000 | + | 5.19615i | 0.190117 | + | 0.329293i | ||||
\(250\) | 10.5000 | + | 18.1865i | 0.664078 | + | 1.15022i | ||||
\(251\) | 11.1962 | − | 19.3923i | 0.706695 | − | 1.22403i | −0.259382 | − | 0.965775i | \(-0.583519\pi\) |
0.966076 | − | 0.258256i | \(-0.0831480\pi\) | |||||||
\(252\) | −2.46410 | −0.155224 | ||||||||
\(253\) | −3.00000 | + | 5.19615i | −0.188608 | + | 0.326679i | ||||
\(254\) | −2.07180 | + | 3.58846i | −0.129996 | + | 0.225160i | ||||
\(255\) | −5.41154 | −0.338884 | ||||||||
\(256\) | −9.50000 | + | 16.4545i | −0.593750 | + | 1.02841i | ||||
\(257\) | 9.06218 | + | 15.6962i | 0.565283 | + | 0.979099i | 0.997023 | + | 0.0771011i | \(0.0245664\pi\) |
−0.431740 | + | 0.901998i | \(0.642100\pi\) | |||||||
\(258\) | −6.46410 | − | 11.1962i | −0.402437 | − | 0.697042i | ||||
\(259\) | −7.00000 | −0.434959 | ||||||||
\(260\) | 3.46410 | + | 5.19615i | 0.214834 | + | 0.322252i | ||||
\(261\) | 7.39230 | 0.457572 | ||||||||
\(262\) | 3.00000 | + | 5.19615i | 0.185341 | + | 0.321019i | ||||
\(263\) | −2.36603 | − | 4.09808i | −0.145895 | − | 0.252698i | 0.783811 | − | 0.620999i | \(-0.213273\pi\) |
−0.929707 | + | 0.368301i | \(0.879940\pi\) | |||||||
\(264\) | 3.00000 | − | 5.19615i | 0.184637 | − | 0.319801i | ||||
\(265\) | −6.80385 | −0.417957 | ||||||||
\(266\) | 1.73205 | − | 3.00000i | 0.106199 | − | 0.183942i | ||||
\(267\) | −0.339746 | + | 0.588457i | −0.0207921 | + | 0.0360130i | ||||
\(268\) | 4.19615 | 0.256321 | ||||||||
\(269\) | −9.46410 | + | 16.3923i | −0.577036 | + | 0.999456i | 0.418781 | + | 0.908087i | \(0.362458\pi\) |
−0.995817 | + | 0.0913690i | \(0.970876\pi\) | |||||||
\(270\) | −6.00000 | − | 10.3923i | −0.365148 | − | 0.632456i | ||||
\(271\) | −8.09808 | − | 14.0263i | −0.491923 | − | 0.852036i | 0.508034 | − | 0.861337i | \(-0.330373\pi\) |
−0.999957 | + | 0.00930143i | \(0.997039\pi\) | |||||||
\(272\) | 21.3397 | 1.29391 | ||||||||
\(273\) | 1.16987 | − | 2.36603i | 0.0708039 | − | 0.143198i | ||||
\(274\) | −37.9808 | −2.29450 | ||||||||
\(275\) | 4.73205 | + | 8.19615i | 0.285353 | + | 0.494247i | ||||
\(276\) | 0.464102 | + | 0.803848i | 0.0279356 | + | 0.0483859i | ||||
\(277\) | −8.50000 | + | 14.7224i | −0.510716 | + | 0.884585i | 0.489207 | + | 0.872167i | \(0.337286\pi\) |
−0.999923 | + | 0.0124177i | \(0.996047\pi\) | |||||||
\(278\) | −35.6603 | −2.13876 | ||||||||
\(279\) | −7.63397 | + | 13.2224i | −0.457034 | + | 0.791606i | ||||
\(280\) | 1.50000 | − | 2.59808i | 0.0896421 | − | 0.155265i | ||||
\(281\) | −7.39230 | −0.440988 | −0.220494 | − | 0.975388i | \(-0.570767\pi\) | ||||
−0.220494 | + | 0.975388i | \(0.570767\pi\) | |||||||
\(282\) | 0.588457 | − | 1.01924i | 0.0350421 | − | 0.0606947i | ||||
\(283\) | 0.0980762 | + | 0.169873i | 0.00583003 | + | 0.0100979i | 0.868926 | − | 0.494943i | \(-0.164811\pi\) |
−0.863096 | + | 0.505040i | \(0.831478\pi\) | |||||||
\(284\) | −3.00000 | − | 5.19615i | −0.178017 | − | 0.308335i | ||||
\(285\) | 2.53590 | 0.150214 | ||||||||
\(286\) | 16.3923 | + | 24.5885i | 0.969297 | + | 1.45395i | ||||
\(287\) | 5.19615 | 0.306719 | ||||||||
\(288\) | 6.40192 | + | 11.0885i | 0.377237 | + | 0.653394i | ||||
\(289\) | −0.607695 | − | 1.05256i | −0.0357468 | − | 0.0619152i | ||||
\(290\) | 4.50000 | − | 7.79423i | 0.264249 | − | 0.457693i | ||||
\(291\) | 10.5359 | 0.617625 | ||||||||
\(292\) | −3.59808 | + | 6.23205i | −0.210561 | + | 0.364703i | ||||
\(293\) | 5.59808 | − | 9.69615i | 0.327043 | − | 0.566455i | −0.654881 | − | 0.755732i | \(-0.727281\pi\) |
0.981924 | + | 0.189277i | \(0.0606144\pi\) | |||||||
\(294\) | 1.26795 | 0.0739483 | ||||||||
\(295\) | 9.29423 | − | 16.0981i | 0.541131 | − | 0.937266i | ||||
\(296\) | 6.06218 | + | 10.5000i | 0.352357 | + | 0.610300i | ||||
\(297\) | −9.46410 | − | 16.3923i | −0.549163 | − | 0.951178i | ||||
\(298\) | −0.803848 | −0.0465656 | ||||||||
\(299\) | 4.56218 | − | 0.294229i | 0.263838 | − | 0.0170157i | ||||
\(300\) | 1.46410 | 0.0845299 | ||||||||
\(301\) | −5.09808 | − | 8.83013i | −0.293848 | − | 0.508960i | ||||
\(302\) | 1.73205 | + | 3.00000i | 0.0996683 | + | 0.172631i | ||||
\(303\) | −1.56218 | + | 2.70577i | −0.0897448 | + | 0.155443i | ||||
\(304\) | −10.0000 | −0.573539 | ||||||||
\(305\) | −13.1603 | + | 22.7942i | −0.753554 | + | 1.30519i | ||||
\(306\) | 9.10770 | − | 15.7750i | 0.520652 | − | 0.901796i | ||||
\(307\) | 26.5885 | 1.51748 | 0.758742 | − | 0.651392i | \(-0.225814\pi\) | ||||
0.758742 | + | 0.651392i | \(0.225814\pi\) | |||||||
\(308\) | −2.36603 | + | 4.09808i | −0.134817 | + | 0.233510i | ||||
\(309\) | 2.33975 | + | 4.05256i | 0.133103 | + | 0.230542i | ||||
\(310\) | 9.29423 | + | 16.0981i | 0.527877 | + | 0.914309i | ||||
\(311\) | 4.73205 | 0.268330 | 0.134165 | − | 0.990959i | \(-0.457165\pi\) | ||||
0.134165 | + | 0.990959i | \(0.457165\pi\) | |||||||
\(312\) | −4.56218 | + | 0.294229i | −0.258282 | + | 0.0166574i | ||||
\(313\) | −12.7846 | −0.722629 | −0.361314 | − | 0.932444i | \(-0.617672\pi\) | ||||
−0.361314 | + | 0.932444i | \(0.617672\pi\) | |||||||
\(314\) | −7.96410 | − | 13.7942i | −0.449440 | − | 0.778453i | ||||
\(315\) | −2.13397 | − | 3.69615i | −0.120236 | − | 0.208255i | ||||
\(316\) | −2.90192 | + | 5.02628i | −0.163246 | + | 0.282750i | ||||
\(317\) | 0.464102 | 0.0260665 | 0.0130333 | − | 0.999915i | \(-0.495851\pi\) | ||||
0.0130333 | + | 0.999915i | \(0.495851\pi\) | |||||||
\(318\) | −2.49038 | + | 4.31347i | −0.139654 | + | 0.241887i | ||||
\(319\) | 7.09808 | − | 12.2942i | 0.397416 | − | 0.688345i | ||||
\(320\) | −1.73205 | −0.0968246 | ||||||||
\(321\) | 7.26795 | − | 12.5885i | 0.405657 | − | 0.702619i | ||||
\(322\) | 1.09808 | + | 1.90192i | 0.0611934 | + | 0.105990i | ||||
\(323\) | 4.26795 | + | 7.39230i | 0.237475 | + | 0.411319i | ||||
\(324\) | 4.46410 | 0.248006 | ||||||||
\(325\) | 3.19615 | − | 6.46410i | 0.177291 | − | 0.358564i | ||||
\(326\) | −10.0526 | −0.556760 | ||||||||
\(327\) | 4.53590 | + | 7.85641i | 0.250836 | + | 0.434460i | ||||
\(328\) | −4.50000 | − | 7.79423i | −0.248471 | − | 0.430364i | ||||
\(329\) | 0.464102 | − | 0.803848i | 0.0255868 | − | 0.0443176i | ||||
\(330\) | −10.3923 | −0.572078 | ||||||||
\(331\) | 13.4904 | − | 23.3660i | 0.741498 | − | 1.28431i | −0.210315 | − | 0.977634i | \(-0.567449\pi\) |
0.951813 | − | 0.306679i | \(-0.0992179\pi\) | |||||||
\(332\) | −4.09808 | + | 7.09808i | −0.224911 | + | 0.389558i | ||||
\(333\) | 17.2487 | 0.945224 | ||||||||
\(334\) | 21.2942 | − | 36.8827i | 1.16517 | − | 2.01813i | ||||
\(335\) | 3.63397 | + | 6.29423i | 0.198545 | + | 0.343890i | ||||
\(336\) | −1.83013 | − | 3.16987i | −0.0998416 | − | 0.172931i | ||||
\(337\) | 11.0000 | 0.599208 | 0.299604 | − | 0.954064i | \(-0.403145\pi\) | ||||
0.299604 | + | 0.954064i | \(0.403145\pi\) | |||||||
\(338\) | 8.66025 | − | 20.7846i | 0.471056 | − | 1.13053i | ||||
\(339\) | 5.41154 | 0.293915 | ||||||||
\(340\) | −3.69615 | − | 6.40192i | −0.200452 | − | 0.347193i | ||||
\(341\) | 14.6603 | + | 25.3923i | 0.793897 | + | 1.37507i | ||||
\(342\) | −4.26795 | + | 7.39230i | −0.230784 | + | 0.399730i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −8.83013 | + | 15.2942i | −0.476089 | + | 0.824610i | ||||
\(345\) | −0.803848 | + | 1.39230i | −0.0432777 | + | 0.0749592i | ||||
\(346\) | −26.7846 | −1.43995 | ||||||||
\(347\) | −5.36603 | + | 9.29423i | −0.288063 | + | 0.498940i | −0.973347 | − | 0.229336i | \(-0.926345\pi\) |
0.685284 | + | 0.728276i | \(0.259678\pi\) | |||||||
\(348\) | −1.09808 | − | 1.90192i | −0.0588631 | − | 0.101954i | ||||
\(349\) | −8.39230 | − | 14.5359i | −0.449230 | − | 0.778089i | 0.549106 | − | 0.835753i | \(-0.314968\pi\) |
−0.998336 | + | 0.0576637i | \(0.981635\pi\) | |||||||
\(350\) | 3.46410 | 0.185164 | ||||||||
\(351\) | −6.39230 | + | 12.9282i | −0.341196 | + | 0.690056i | ||||
\(352\) | 24.5885 | 1.31057 | ||||||||
\(353\) | −1.66987 | − | 2.89230i | −0.0888784 | − | 0.153942i | 0.818159 | − | 0.574992i | \(-0.194995\pi\) |
−0.907037 | + | 0.421050i | \(0.861662\pi\) | |||||||
\(354\) | −6.80385 | − | 11.7846i | −0.361620 | − | 0.626345i | ||||
\(355\) | 5.19615 | − | 9.00000i | 0.275783 | − | 0.477670i | ||||
\(356\) | −0.928203 | −0.0491947 | ||||||||
\(357\) | −1.56218 | + | 2.70577i | −0.0826792 | + | 0.143205i | ||||
\(358\) | 6.00000 | − | 10.3923i | 0.317110 | − | 0.549250i | ||||
\(359\) | 5.07180 | 0.267679 | 0.133840 | − | 0.991003i | \(-0.457269\pi\) | ||||
0.133840 | + | 0.991003i | \(0.457269\pi\) | |||||||
\(360\) | −3.69615 | + | 6.40192i | −0.194804 | + | 0.337411i | ||||
\(361\) | 7.50000 | + | 12.9904i | 0.394737 | + | 0.683704i | ||||
\(362\) | −22.1603 | − | 38.3827i | −1.16472 | − | 2.01735i | ||||
\(363\) | −8.33975 | −0.437723 | ||||||||
\(364\) | 3.59808 | − | 0.232051i | 0.188590 | − | 0.0121628i | ||||
\(365\) | −12.4641 | −0.652401 | ||||||||
\(366\) | 9.63397 | + | 16.6865i | 0.503576 | + | 0.872219i | ||||
\(367\) | 3.09808 | + | 5.36603i | 0.161718 | + | 0.280104i | 0.935485 | − | 0.353366i | \(-0.114963\pi\) |
−0.773767 | + | 0.633471i | \(0.781630\pi\) | |||||||
\(368\) | 3.16987 | − | 5.49038i | 0.165241 | − | 0.286206i | ||||
\(369\) | −12.8038 | −0.666542 | ||||||||
\(370\) | 10.5000 | − | 18.1865i | 0.545869 | − | 0.945473i | ||||
\(371\) | −1.96410 | + | 3.40192i | −0.101971 | + | 0.176619i | ||||
\(372\) | 4.53590 | 0.235175 | ||||||||
\(373\) | −4.69615 | + | 8.13397i | −0.243158 | + | 0.421161i | −0.961612 | − | 0.274413i | \(-0.911517\pi\) |
0.718454 | + | 0.695574i | \(0.244850\pi\) | |||||||
\(374\) | −17.4904 | − | 30.2942i | −0.904406 | − | 1.56648i | ||||
\(375\) | 4.43782 | + | 7.68653i | 0.229168 | + | 0.396931i | ||||
\(376\) | −1.60770 | −0.0829105 | ||||||||
\(377\) | −10.7942 | + | 0.696152i | −0.555931 | + | 0.0358537i | ||||
\(378\) | −6.92820 | −0.356348 | ||||||||
\(379\) | 2.29423 | + | 3.97372i | 0.117847 | + | 0.204116i | 0.918914 | − | 0.394458i | \(-0.129068\pi\) |
−0.801067 | + | 0.598574i | \(0.795734\pi\) | |||||||
\(380\) | 1.73205 | + | 3.00000i | 0.0888523 | + | 0.153897i | ||||
\(381\) | −0.875644 | + | 1.51666i | −0.0448606 | + | 0.0777009i | ||||
\(382\) | −2.19615 | −0.112365 | ||||||||
\(383\) | −2.83013 | + | 4.90192i | −0.144613 | + | 0.250477i | −0.929228 | − | 0.369506i | \(-0.879527\pi\) |
0.784616 | + | 0.619982i | \(0.212860\pi\) | |||||||
\(384\) | −4.43782 | + | 7.68653i | −0.226467 | + | 0.392252i | ||||
\(385\) | −8.19615 | −0.417715 | ||||||||
\(386\) | 4.33013 | − | 7.50000i | 0.220398 | − | 0.381740i | ||||
\(387\) | 12.5622 | + | 21.7583i | 0.638571 | + | 1.10604i | ||||
\(388\) | 7.19615 | + | 12.4641i | 0.365329 | + | 0.632769i | ||||
\(389\) | −30.4641 | −1.54459 | −0.772296 | − | 0.635263i | \(-0.780892\pi\) | ||||
−0.772296 | + | 0.635263i | \(0.780892\pi\) | |||||||
\(390\) | 4.39230 | + | 6.58846i | 0.222413 | + | 0.333620i | ||||
\(391\) | −5.41154 | −0.273673 | ||||||||
\(392\) | −0.866025 | − | 1.50000i | −0.0437409 | − | 0.0757614i | ||||
\(393\) | 1.26795 | + | 2.19615i | 0.0639596 | + | 0.110781i | ||||
\(394\) | 10.3923 | − | 18.0000i | 0.523557 | − | 0.906827i | ||||
\(395\) | −10.0526 | −0.505799 | ||||||||
\(396\) | 5.83013 | − | 10.0981i | 0.292975 | − | 0.507447i | ||||
\(397\) | −11.3923 | + | 19.7321i | −0.571763 | + | 0.990323i | 0.424622 | + | 0.905371i | \(0.360407\pi\) |
−0.996385 | + | 0.0849523i | \(0.972926\pi\) | |||||||
\(398\) | −3.46410 | −0.173640 | ||||||||
\(399\) | 0.732051 | − | 1.26795i | 0.0366484 | − | 0.0634769i | ||||
\(400\) | −5.00000 | − | 8.66025i | −0.250000 | − | 0.433013i | ||||
\(401\) | −8.42820 | − | 14.5981i | −0.420884 | − | 0.728993i | 0.575142 | − | 0.818054i | \(-0.304947\pi\) |
−0.996026 | + | 0.0890606i | \(0.971614\pi\) | |||||||
\(402\) | 5.32051 | 0.265363 | ||||||||
\(403\) | 9.90192 | − | 20.0263i | 0.493250 | − | 0.997580i | ||||
\(404\) | −4.26795 | −0.212338 | ||||||||
\(405\) | 3.86603 | + | 6.69615i | 0.192104 | + | 0.332734i | ||||
\(406\) | −2.59808 | − | 4.50000i | −0.128940 | − | 0.223331i | ||||
\(407\) | 16.5622 | − | 28.6865i | 0.820957 | − | 1.42194i | ||||
\(408\) | 5.41154 | 0.267911 | ||||||||
\(409\) | 13.5981 | − | 23.5526i | 0.672382 | − | 1.16460i | −0.304845 | − | 0.952402i | \(-0.598605\pi\) |
0.977227 | − | 0.212197i | \(-0.0680619\pi\) | |||||||
\(410\) | −7.79423 | + | 13.5000i | −0.384930 | + | 0.666717i | ||||
\(411\) | −16.0526 | −0.791814 | ||||||||
\(412\) | −3.19615 | + | 5.53590i | −0.157463 | + | 0.272734i | ||||
\(413\) | −5.36603 | − | 9.29423i | −0.264045 | − | 0.457339i | ||||
\(414\) | −2.70577 | − | 4.68653i | −0.132981 | − | 0.230331i | ||||
\(415\) | −14.1962 | −0.696862 | ||||||||
\(416\) | −10.3923 | − | 15.5885i | −0.509525 | − | 0.764287i | ||||
\(417\) | −15.0718 | −0.738069 | ||||||||
\(418\) | 8.19615 | + | 14.1962i | 0.400887 | + | 0.694357i | ||||
\(419\) | 10.9019 | + | 18.8827i | 0.532594 | + | 0.922480i | 0.999276 | + | 0.0380543i | \(0.0121160\pi\) |
−0.466682 | + | 0.884425i | \(0.654551\pi\) | |||||||
\(420\) | −0.633975 | + | 1.09808i | −0.0309348 | + | 0.0535806i | ||||
\(421\) | 30.1769 | 1.47073 | 0.735366 | − | 0.677670i | \(-0.237010\pi\) | ||||
0.735366 | + | 0.677670i | \(0.237010\pi\) | |||||||
\(422\) | −10.5622 | + | 18.2942i | −0.514159 | + | 0.890549i | ||||
\(423\) | −1.14359 | + | 1.98076i | −0.0556034 | + | 0.0963079i | ||||
\(424\) | 6.80385 | 0.330424 | ||||||||
\(425\) | −4.26795 | + | 7.39230i | −0.207026 | + | 0.358579i | ||||
\(426\) | −3.80385 | − | 6.58846i | −0.184297 | − | 0.319212i | ||||
\(427\) | 7.59808 | + | 13.1603i | 0.367697 | + | 0.636869i | ||||
\(428\) | 19.8564 | 0.959796 | ||||||||
\(429\) | 6.92820 | + | 10.3923i | 0.334497 | + | 0.501745i | ||||
\(430\) | 30.5885 | 1.47511 | ||||||||
\(431\) | −17.6603 | − | 30.5885i | −0.850665 | − | 1.47339i | −0.880610 | − | 0.473843i | \(-0.842867\pi\) |
0.0299451 | − | 0.999552i | \(-0.490467\pi\) | |||||||
\(432\) | 10.0000 | + | 17.3205i | 0.481125 | + | 0.833333i | ||||
\(433\) | −8.79423 | + | 15.2321i | −0.422624 | + | 0.732006i | −0.996195 | − | 0.0871498i | \(-0.972224\pi\) |
0.573572 | + | 0.819155i | \(0.305557\pi\) | |||||||
\(434\) | 10.7321 | 0.515155 | ||||||||
\(435\) | 1.90192 | − | 3.29423i | 0.0911903 | − | 0.157946i | ||||
\(436\) | −6.19615 | + | 10.7321i | −0.296742 | + | 0.513972i | ||||
\(437\) | 2.53590 | 0.121308 | ||||||||
\(438\) | −4.56218 | + | 7.90192i | −0.217989 | + | 0.377569i | ||||
\(439\) | 8.29423 | + | 14.3660i | 0.395862 | + | 0.685653i | 0.993211 | − | 0.116329i | \(-0.0371125\pi\) |
−0.597349 | + | 0.801982i | \(0.703779\pi\) | |||||||
\(440\) | 7.09808 | + | 12.2942i | 0.338388 | + | 0.586104i | ||||
\(441\) | −2.46410 | −0.117338 | ||||||||
\(442\) | −11.8135 | + | 23.8923i | −0.561909 | + | 1.13644i | ||||
\(443\) | −11.3205 | −0.537854 | −0.268927 | − | 0.963161i | \(-0.586669\pi\) | ||||
−0.268927 | + | 0.963161i | \(0.586669\pi\) | |||||||
\(444\) | −2.56218 | − | 4.43782i | −0.121596 | − | 0.210610i | ||||
\(445\) | −0.803848 | − | 1.39230i | −0.0381060 | − | 0.0660016i | ||||
\(446\) | −8.66025 | + | 15.0000i | −0.410075 | + | 0.710271i | ||||
\(447\) | −0.339746 | −0.0160694 | ||||||||
\(448\) | −0.500000 | + | 0.866025i | −0.0236228 | + | 0.0409159i | ||||
\(449\) | 6.00000 | − | 10.3923i | 0.283158 | − | 0.490443i | −0.689003 | − | 0.724758i | \(-0.741951\pi\) |
0.972161 | + | 0.234315i | \(0.0752847\pi\) | |||||||
\(450\) | −8.53590 | −0.402386 | ||||||||
\(451\) | −12.2942 | + | 21.2942i | −0.578913 | + | 1.00271i | ||||
\(452\) | 3.69615 | + | 6.40192i | 0.173852 | + | 0.301121i | ||||
\(453\) | 0.732051 | + | 1.26795i | 0.0343947 | + | 0.0595734i | ||||
\(454\) | 20.1962 | 0.947852 | ||||||||
\(455\) | 3.46410 | + | 5.19615i | 0.162400 | + | 0.243599i | ||||
\(456\) | −2.53590 | −0.118754 | ||||||||
\(457\) | −5.50000 | − | 9.52628i | −0.257279 | − | 0.445621i | 0.708233 | − | 0.705979i | \(-0.249493\pi\) |
−0.965512 | + | 0.260358i | \(0.916159\pi\) | |||||||
\(458\) | 5.53590 | + | 9.58846i | 0.258676 | + | 0.448039i | ||||
\(459\) | 8.53590 | − | 14.7846i | 0.398422 | − | 0.690086i | ||||
\(460\) | −2.19615 | −0.102396 | ||||||||
\(461\) | −7.79423 | + | 13.5000i | −0.363013 | + | 0.628758i | −0.988455 | − | 0.151513i | \(-0.951585\pi\) |
0.625442 | + | 0.780271i | \(0.284919\pi\) | |||||||
\(462\) | −3.00000 | + | 5.19615i | −0.139573 | + | 0.241747i | ||||
\(463\) | 26.5885 | 1.23567 | 0.617835 | − | 0.786308i | \(-0.288010\pi\) | ||||
0.617835 | + | 0.786308i | \(0.288010\pi\) | |||||||
\(464\) | −7.50000 | + | 12.9904i | −0.348179 | + | 0.603063i | ||||
\(465\) | 3.92820 | + | 6.80385i | 0.182166 | + | 0.315521i | ||||
\(466\) | 22.3923 | + | 38.7846i | 1.03730 | + | 1.79666i | ||||
\(467\) | −19.5167 | −0.903123 | −0.451562 | − | 0.892240i | \(-0.649133\pi\) | ||||
−0.451562 | + | 0.892240i | \(0.649133\pi\) | |||||||
\(468\) | −8.86603 | + | 0.571797i | −0.409832 | + | 0.0264313i | ||||
\(469\) | 4.19615 | 0.193760 | ||||||||
\(470\) | 1.39230 | + | 2.41154i | 0.0642222 | + | 0.111236i | ||||
\(471\) | −3.36603 | − | 5.83013i | −0.155098 | − | 0.268638i | ||||
\(472\) | −9.29423 | + | 16.0981i | −0.427802 | + | 0.740974i | ||||
\(473\) | 48.2487 | 2.21848 | ||||||||
\(474\) | −3.67949 | + | 6.37307i | −0.169005 | + | 0.292725i | ||||
\(475\) | 2.00000 | − | 3.46410i | 0.0917663 | − | 0.158944i | ||||
\(476\) | −4.26795 | −0.195621 | ||||||||
\(477\) | 4.83975 | − | 8.38269i | 0.221597 | − | 0.383817i | ||||
\(478\) | −22.6865 | − | 39.2942i | −1.03766 | − | 1.79728i | ||||
\(479\) | −2.36603 | − | 4.09808i | −0.108106 | − | 0.187246i | 0.806897 | − | 0.590693i | \(-0.201145\pi\) |
−0.915003 | + | 0.403447i | \(0.867812\pi\) | |||||||
\(480\) | 6.58846 | 0.300721 | ||||||||
\(481\) | −25.1865 | + | 1.62436i | −1.14841 | + | 0.0740642i | ||||
\(482\) | 18.7128 | 0.852345 | ||||||||
\(483\) | 0.464102 | + | 0.803848i | 0.0211174 | + | 0.0365763i | ||||
\(484\) | −5.69615 | − | 9.86603i | −0.258916 | − | 0.448456i | ||||
\(485\) | −12.4641 | + | 21.5885i | −0.565966 | + | 0.980281i | ||||
\(486\) | 26.4449 | 1.19956 | ||||||||
\(487\) | 0.392305 | − | 0.679492i | 0.0177770 | − | 0.0307907i | −0.857000 | − | 0.515316i | \(-0.827674\pi\) |
0.874777 | + | 0.484526i | \(0.161008\pi\) | |||||||
\(488\) | 13.1603 | − | 22.7942i | 0.595737 | − | 1.03185i | ||||
\(489\) | −4.24871 | −0.192133 | ||||||||
\(490\) | −1.50000 | + | 2.59808i | −0.0677631 | + | 0.117369i | ||||
\(491\) | −14.1962 | − | 24.5885i | −0.640663 | − | 1.10966i | −0.985285 | − | 0.170920i | \(-0.945326\pi\) |
0.344622 | − | 0.938742i | \(-0.388007\pi\) | |||||||
\(492\) | 1.90192 | + | 3.29423i | 0.0857453 | + | 0.148515i | ||||
\(493\) | 12.8038 | 0.576656 | ||||||||
\(494\) | 5.53590 | − | 11.1962i | 0.249072 | − | 0.503739i | ||||
\(495\) | 20.1962 | 0.907750 | ||||||||
\(496\) | −15.4904 | − | 26.8301i | −0.695539 | − | 1.20471i | ||||
\(497\) | −3.00000 | − | 5.19615i | −0.134568 | − | 0.233079i | ||||
\(498\) | −5.19615 | + | 9.00000i | −0.232845 | + | 0.403300i | ||||
\(499\) | 12.9808 | 0.581099 | 0.290549 | − | 0.956860i | \(-0.406162\pi\) | ||||
0.290549 | + | 0.956860i | \(0.406162\pi\) | |||||||
\(500\) | −6.06218 | + | 10.5000i | −0.271109 | + | 0.469574i | ||||
\(501\) | 9.00000 | − | 15.5885i | 0.402090 | − | 0.696441i | ||||
\(502\) | 38.7846 | 1.73104 | ||||||||
\(503\) | −6.29423 | + | 10.9019i | −0.280646 | + | 0.486093i | −0.971544 | − | 0.236859i | \(-0.923882\pi\) |
0.690898 | + | 0.722952i | \(0.257215\pi\) | |||||||
\(504\) | 2.13397 | + | 3.69615i | 0.0950548 | + | 0.164640i | ||||
\(505\) | −3.69615 | − | 6.40192i | −0.164477 | − | 0.284882i | ||||
\(506\) | −10.3923 | −0.461994 | ||||||||
\(507\) | 3.66025 | − | 8.78461i | 0.162558 | − | 0.390138i | ||||
\(508\) | −2.39230 | −0.106141 | ||||||||
\(509\) | −5.13397 | − | 8.89230i | −0.227559 | − | 0.394144i | 0.729525 | − | 0.683954i | \(-0.239741\pi\) |
−0.957084 | + | 0.289810i | \(0.906408\pi\) | |||||||
\(510\) | −4.68653 | − | 8.11731i | −0.207523 | − | 0.359441i | ||||
\(511\) | −3.59808 | + | 6.23205i | −0.159170 | + | 0.275690i | ||||
\(512\) | −8.66025 | −0.382733 | ||||||||
\(513\) | −4.00000 | + | 6.92820i | −0.176604 | + | 0.305888i | ||||
\(514\) | −15.6962 | + | 27.1865i | −0.692328 | + | 1.19915i | ||||
\(515\) | −11.0718 | −0.487882 | ||||||||
\(516\) | 3.73205 | − | 6.46410i | 0.164294 | − | 0.284566i | ||||
\(517\) | 2.19615 | + | 3.80385i | 0.0965867 | + | 0.167293i | ||||
\(518\) | −6.06218 | − | 10.5000i | −0.266357 | − | 0.461344i | ||||
\(519\) | −11.3205 | −0.496915 | ||||||||
\(520\) | 4.79423 | − | 9.69615i | 0.210241 | − | 0.425204i | ||||
\(521\) | 0.124356 | 0.00544812 | 0.00272406 | − | 0.999996i | \(-0.499133\pi\) | ||||
0.00272406 | + | 0.999996i | \(0.499133\pi\) | |||||||
\(522\) | 6.40192 | + | 11.0885i | 0.280205 | + | 0.485329i | ||||
\(523\) | −16.5885 | − | 28.7321i | −0.725363 | − | 1.25636i | −0.958825 | − | 0.283999i | \(-0.908339\pi\) |
0.233462 | − | 0.972366i | \(-0.424995\pi\) | |||||||
\(524\) | −1.73205 | + | 3.00000i | −0.0756650 | + | 0.131056i | ||||
\(525\) | 1.46410 | 0.0638986 | ||||||||
\(526\) | 4.09808 | − | 7.09808i | 0.178685 | − | 0.309491i | ||||
\(527\) | −13.2224 | + | 22.9019i | −0.575978 | + | 0.997623i | ||||
\(528\) | 17.3205 | 0.753778 | ||||||||
\(529\) | 10.6962 | − | 18.5263i | 0.465050 | − | 0.805490i | ||||
\(530\) | −5.89230 | − | 10.2058i | −0.255945 | − | 0.443310i | ||||
\(531\) | 13.2224 | + | 22.9019i | 0.573805 | + | 0.993859i | ||||
\(532\) | 2.00000 | 0.0867110 | ||||||||
\(533\) | 18.6962 | − | 1.20577i | 0.809820 | − | 0.0522278i | ||||
\(534\) | −1.17691 | −0.0509301 | ||||||||
\(535\) | 17.1962 | + | 29.7846i | 0.743455 | + | 1.28770i | ||||
\(536\) | −3.63397 | − | 6.29423i | −0.156964 | − | 0.271869i | ||||
\(537\) | 2.53590 | − | 4.39230i | 0.109432 | − | 0.189542i | ||||
\(538\) | −32.7846 | −1.41344 | ||||||||
\(539\) | −2.36603 | + | 4.09808i | −0.101912 | + | 0.176517i | ||||
\(540\) | 3.46410 | − | 6.00000i | 0.149071 | − | 0.258199i | ||||
\(541\) | −35.3923 | −1.52163 | −0.760817 | − | 0.648966i | \(-0.775202\pi\) | ||||
−0.760817 | + | 0.648966i | \(0.775202\pi\) | |||||||
\(542\) | 14.0263 | − | 24.2942i | 0.602480 | − | 1.04353i | ||||
\(543\) | −9.36603 | − | 16.2224i | −0.401935 | − | 0.696171i | ||||
\(544\) | 11.0885 | + | 19.2058i | 0.475414 | + | 0.823441i | ||||
\(545\) | −21.4641 | −0.919421 | ||||||||
\(546\) | 4.56218 | − | 0.294229i | 0.195243 | − | 0.0125918i | ||||
\(547\) | 28.1962 | 1.20558 | 0.602790 | − | 0.797900i | \(-0.294056\pi\) | ||||
0.602790 | + | 0.797900i | \(0.294056\pi\) | |||||||
\(548\) | −10.9641 | − | 18.9904i | −0.468363 | − | 0.811229i | ||||
\(549\) | −18.7224 | − | 32.4282i | −0.799054 | − | 1.38400i | ||||
\(550\) | −8.19615 | + | 14.1962i | −0.349485 | + | 0.605326i | ||||
\(551\) | −6.00000 | −0.255609 | ||||||||
\(552\) | 0.803848 | − | 1.39230i | 0.0342140 | − | 0.0592604i | ||||
\(553\) | −2.90192 | + | 5.02628i | −0.123402 | + | 0.213739i | ||||
\(554\) | −29.4449 | −1.25099 | ||||||||
\(555\) | 4.43782 | − | 7.68653i | 0.188375 | − | 0.326275i | ||||
\(556\) | −10.2942 | − | 17.8301i | −0.436573 | − | 0.756166i | ||||
\(557\) | 12.8205 | + | 22.2058i | 0.543222 | + | 0.940889i | 0.998716 | + | 0.0506499i | \(0.0161293\pi\) |
−0.455494 | + | 0.890239i | \(0.650537\pi\) | |||||||
\(558\) | −26.4449 | −1.11950 | ||||||||
\(559\) | −20.3923 | − | 30.5885i | −0.862503 | − | 1.29375i | ||||
\(560\) | 8.66025 | 0.365963 | ||||||||
\(561\) | −7.39230 | − | 12.8038i | −0.312103 | − | 0.540579i | ||||
\(562\) | −6.40192 | − | 11.0885i | −0.270049 | − | 0.467738i | ||||
\(563\) | 5.02628 | − | 8.70577i | 0.211832 | − | 0.366905i | −0.740456 | − | 0.672105i | \(-0.765390\pi\) |
0.952288 | + | 0.305201i | \(0.0987236\pi\) | |||||||
\(564\) | 0.679492 | 0.0286118 | ||||||||
\(565\) | −6.40192 | + | 11.0885i | −0.269331 | + | 0.466495i | ||||
\(566\) | −0.169873 | + | 0.294229i | −0.00714029 | + | 0.0123674i | ||||
\(567\) | 4.46410 | 0.187475 | ||||||||
\(568\) | −5.19615 | + | 9.00000i | −0.218026 | + | 0.377632i | ||||
\(569\) | −14.5359 | − | 25.1769i | −0.609377 | − | 1.05547i | −0.991343 | − | 0.131295i | \(-0.958086\pi\) |
0.381967 | − | 0.924176i | \(-0.375247\pi\) | |||||||
\(570\) | 2.19615 | + | 3.80385i | 0.0919867 | + | 0.159326i | ||||
\(571\) | −24.7846 | −1.03720 | −0.518602 | − | 0.855016i | \(-0.673547\pi\) | ||||
−0.518602 | + | 0.855016i | \(0.673547\pi\) | |||||||
\(572\) | −7.56218 | + | 15.2942i | −0.316191 | + | 0.639484i | ||||
\(573\) | −0.928203 | −0.0387762 | ||||||||
\(574\) | 4.50000 | + | 7.79423i | 0.187826 | + | 0.325325i | ||||
\(575\) | 1.26795 | + | 2.19615i | 0.0528771 | + | 0.0915859i | ||||
\(576\) | 1.23205 | − | 2.13397i | 0.0513355 | − | 0.0889156i | ||||
\(577\) | 32.8038 | 1.36564 | 0.682821 | − | 0.730586i | \(-0.260753\pi\) | ||||
0.682821 | + | 0.730586i | \(0.260753\pi\) | |||||||
\(578\) | 1.05256 | − | 1.82309i | 0.0437807 | − | 0.0758304i | ||||
\(579\) | 1.83013 | − | 3.16987i | 0.0760575 | − | 0.131735i | ||||
\(580\) | 5.19615 | 0.215758 | ||||||||
\(581\) | −4.09808 | + | 7.09808i | −0.170017 | + | 0.294478i | ||||
\(582\) | 9.12436 | + | 15.8038i | 0.378217 | + | 0.655091i | ||||
\(583\) | −9.29423 | − | 16.0981i | −0.384928 | − | 0.666714i | ||||
\(584\) | 12.4641 | 0.515768 | ||||||||
\(585\) | −8.53590 | − | 12.8038i | −0.352916 | − | 0.529374i | ||||
\(586\) | 19.3923 | 0.801089 | ||||||||
\(587\) | 2.19615 | + | 3.80385i | 0.0906449 | + | 0.157002i | 0.907783 | − | 0.419441i | \(-0.137774\pi\) |
−0.817138 | + | 0.576442i | \(0.804441\pi\) | |||||||
\(588\) | 0.366025 | + | 0.633975i | 0.0150946 | + | 0.0261447i | ||||
\(589\) | 6.19615 | − | 10.7321i | 0.255308 | − | 0.442206i | ||||
\(590\) | 32.1962 | 1.32549 | ||||||||
\(591\) | 4.39230 | − | 7.60770i | 0.180675 | − | 0.312939i | ||||
\(592\) | −17.5000 | + | 30.3109i | −0.719246 | + | 1.24577i | ||||
\(593\) | 41.4449 | 1.70194 | 0.850968 | − | 0.525217i | \(-0.176016\pi\) | ||||
0.850968 | + | 0.525217i | \(0.176016\pi\) | |||||||
\(594\) | 16.3923 | − | 28.3923i | 0.672584 | − | 1.16495i | ||||
\(595\) | −3.69615 | − | 6.40192i | −0.151527 | − | 0.262453i | ||||
\(596\) | −0.232051 | − | 0.401924i | −0.00950517 | − | 0.0164634i | ||||
\(597\) | −1.46410 | −0.0599217 | ||||||||
\(598\) | 4.39230 | + | 6.58846i | 0.179615 | + | 0.269422i | ||||
\(599\) | 16.1436 | 0.659609 | 0.329805 | − | 0.944049i | \(-0.393017\pi\) | ||||
0.329805 | + | 0.944049i | \(0.393017\pi\) | |||||||
\(600\) | −1.26795 | − | 2.19615i | −0.0517638 | − | 0.0896575i | ||||
\(601\) | −10.9904 | − | 19.0359i | −0.448307 | − | 0.776490i | 0.549969 | − | 0.835185i | \(-0.314640\pi\) |
−0.998276 | + | 0.0586946i | \(0.981306\pi\) | |||||||
\(602\) | 8.83013 | − | 15.2942i | 0.359889 | − | 0.623346i | ||||
\(603\) | −10.3397 | −0.421067 | ||||||||
\(604\) | −1.00000 | + | 1.73205i | −0.0406894 | + | 0.0704761i | ||||
\(605\) | 9.86603 | − | 17.0885i | 0.401111 | − | 0.694745i | ||||
\(606\) | −5.41154 | −0.219829 | ||||||||
\(607\) | −3.19615 | + | 5.53590i | −0.129728 | + | 0.224695i | −0.923571 | − | 0.383427i | \(-0.874744\pi\) |
0.793843 | + | 0.608122i | \(0.208077\pi\) | |||||||
\(608\) | −5.19615 | − | 9.00000i | −0.210732 | − | 0.364998i | ||||
\(609\) | −1.09808 | − | 1.90192i | −0.0444963 | − | 0.0770698i | ||||
\(610\) | −45.5885 | −1.84582 | ||||||||
\(611\) | 1.48334 | − | 3.00000i | 0.0600095 | − | 0.121367i | ||||
\(612\) | 10.5167 | 0.425111 | ||||||||
\(613\) | 8.69615 | + | 15.0622i | 0.351234 | + | 0.608356i | 0.986466 | − | 0.163966i | \(-0.0524287\pi\) |
−0.635232 | + | 0.772322i | \(0.719095\pi\) | |||||||
\(614\) | 23.0263 | + | 39.8827i | 0.929265 | + | 1.60953i | ||||
\(615\) | −3.29423 | + | 5.70577i | −0.132836 | + | 0.230079i | ||||
\(616\) | 8.19615 | 0.330232 | ||||||||
\(617\) | −14.3038 | + | 24.7750i | −0.575851 | + | 0.997404i | 0.420097 | + | 0.907479i | \(0.361996\pi\) |
−0.995949 | + | 0.0899245i | \(0.971337\pi\) | |||||||
\(618\) | −4.05256 | + | 7.01924i | −0.163018 | + | 0.282355i | ||||
\(619\) | −37.3731 | −1.50215 | −0.751075 | − | 0.660217i | \(-0.770464\pi\) | ||||
−0.751075 | + | 0.660217i | \(0.770464\pi\) | |||||||
\(620\) | −5.36603 | + | 9.29423i | −0.215505 | + | 0.373265i | ||||
\(621\) | −2.53590 | − | 4.39230i | −0.101762 | − | 0.176257i | ||||
\(622\) | 4.09808 | + | 7.09808i | 0.164318 | + | 0.284607i | ||||
\(623\) | −0.928203 | −0.0371877 | ||||||||
\(624\) | −7.32051 | − | 10.9808i | −0.293055 | − | 0.439582i | ||||
\(625\) | −11.0000 | −0.440000 | ||||||||
\(626\) | −11.0718 | − | 19.1769i | −0.442518 | − | 0.766464i | ||||
\(627\) | 3.46410 | + | 6.00000i | 0.138343 | + | 0.239617i | ||||
\(628\) | 4.59808 | − | 7.96410i | 0.183483 | − | 0.317802i | ||||
\(629\) | 29.8756 | 1.19122 | ||||||||
\(630\) | 3.69615 | − | 6.40192i | 0.147258 | − | 0.255059i | ||||
\(631\) | −14.3923 | + | 24.9282i | −0.572949 | + | 0.992376i | 0.423313 | + | 0.905984i | \(0.360867\pi\) |
−0.996261 | + | 0.0863924i | \(0.972466\pi\) | |||||||
\(632\) | 10.0526 | 0.399869 | ||||||||
\(633\) | −4.46410 | + | 7.73205i | −0.177432 | + | 0.307321i | ||||
\(634\) | 0.401924 | + | 0.696152i | 0.0159624 | + | 0.0276477i | ||||
\(635\) | −2.07180 | − | 3.58846i | −0.0822167 | − | 0.142404i | ||||
\(636\) | −2.87564 | −0.114027 | ||||||||
\(637\) | 3.59808 | − | 0.232051i | 0.142561 | − | 0.00919419i | ||||
\(638\) | 24.5885 | 0.973466 | ||||||||
\(639\) | 7.39230 | + | 12.8038i | 0.292435 | + | 0.506512i | ||||
\(640\) | −10.5000 | − | 18.1865i | −0.415049 | − | 0.718886i | ||||
\(641\) | −0.571797 | + | 0.990381i | −0.0225846 | + | 0.0391177i | −0.877097 | − | 0.480314i | \(-0.840523\pi\) |
0.854512 | + | 0.519431i | \(0.173856\pi\) | |||||||
\(642\) | 25.1769 | 0.993654 | ||||||||
\(643\) | −20.3923 | + | 35.3205i | −0.804194 | + | 1.39290i | 0.112640 | + | 0.993636i | \(0.464069\pi\) |
−0.916834 | + | 0.399269i | \(0.869264\pi\) | |||||||
\(644\) | −0.633975 | + | 1.09808i | −0.0249821 | + | 0.0432703i | ||||
\(645\) | 12.9282 | 0.509048 | ||||||||
\(646\) | −7.39230 | + | 12.8038i | −0.290846 | + | 0.503761i | ||||
\(647\) | 22.5167 | + | 39.0000i | 0.885221 | + | 1.53325i | 0.845460 | + | 0.534039i | \(0.179326\pi\) |
0.0397614 | + | 0.999209i | \(0.487340\pi\) | |||||||
\(648\) | −3.86603 | − | 6.69615i | −0.151872 | − | 0.263050i | ||||
\(649\) | 50.7846 | 1.99347 | ||||||||
\(650\) | 12.4641 | − | 0.803848i | 0.488882 | − | 0.0315295i | ||||
\(651\) | 4.53590 | 0.177776 | ||||||||
\(652\) | −2.90192 | − | 5.02628i | −0.113648 | − | 0.196844i | ||||
\(653\) | 5.07180 | + | 8.78461i | 0.198475 | + | 0.343768i | 0.948034 | − | 0.318169i | \(-0.103068\pi\) |
−0.749559 | + | 0.661937i | \(0.769735\pi\) | |||||||
\(654\) | −7.85641 | + | 13.6077i | −0.307210 | + | 0.532103i | ||||
\(655\) | −6.00000 | −0.234439 | ||||||||
\(656\) | 12.9904 | − | 22.5000i | 0.507189 | − | 0.878477i | ||||
\(657\) | 8.86603 | − | 15.3564i | 0.345897 | − | 0.599110i | ||||
\(658\) | 1.60770 | 0.0626745 | ||||||||
\(659\) | −3.80385 | + | 6.58846i | −0.148177 | + | 0.256650i | −0.930554 | − | 0.366156i | \(-0.880674\pi\) |
0.782377 | + | 0.622805i | \(0.214007\pi\) | |||||||
\(660\) | −3.00000 | − | 5.19615i | −0.116775 | − | 0.202260i | ||||
\(661\) | 11.4019 | + | 19.7487i | 0.443483 | + | 0.768136i | 0.997945 | − | 0.0640734i | \(-0.0204092\pi\) |
−0.554462 | + | 0.832209i | \(0.687076\pi\) | |||||||
\(662\) | 46.7321 | 1.81629 | ||||||||
\(663\) | −4.99296 | + | 10.0981i | −0.193910 | + | 0.392177i | ||||
\(664\) | 14.1962 | 0.550918 | ||||||||
\(665\) | 1.73205 | + | 3.00000i | 0.0671660 | + | 0.116335i | ||||
\(666\) | 14.9378 | + | 25.8731i | 0.578829 | + | 1.00256i | ||||
\(667\) | 1.90192 | − | 3.29423i | 0.0736428 | − | 0.127553i | ||||
\(668\) | 24.5885 | 0.951356 | ||||||||
\(669\) | −3.66025 | + | 6.33975i | −0.141514 | + | 0.245109i | ||||
\(670\) | −6.29423 | + | 10.9019i | −0.243167 | + | 0.421178i | ||||
\(671\) | −71.9090 | −2.77601 | ||||||||
\(672\) | 1.90192 | − | 3.29423i | 0.0733683 | − | 0.127078i | ||||
\(673\) | −9.08846 | − | 15.7417i | −0.350334 | − | 0.606797i | 0.635974 | − | 0.771711i | \(-0.280599\pi\) |
−0.986308 | + | 0.164914i | \(0.947265\pi\) | |||||||
\(674\) | 9.52628 | + | 16.5000i | 0.366939 | + | 0.635556i | ||||
\(675\) | −8.00000 | −0.307920 | ||||||||
\(676\) | 12.8923 | − | 1.66987i | 0.495858 | − | 0.0642259i | ||||
\(677\) | −36.9282 | −1.41927 | −0.709633 | − | 0.704571i | \(-0.751139\pi\) | ||||
−0.709633 | + | 0.704571i | \(0.751139\pi\) | |||||||
\(678\) | 4.68653 | + | 8.11731i | 0.179985 | + | 0.311744i | ||||
\(679\) | 7.19615 | + | 12.4641i | 0.276163 | + | 0.478328i | ||||
\(680\) | −6.40192 | + | 11.0885i | −0.245503 | + | 0.425223i | ||||
\(681\) | 8.53590 | 0.327096 | ||||||||
\(682\) | −25.3923 | + | 43.9808i | −0.972322 | + | 1.68411i | ||||
\(683\) | −4.26795 | + | 7.39230i | −0.163309 | + | 0.282859i | −0.936053 | − | 0.351858i | \(-0.885550\pi\) |
0.772745 | + | 0.634717i | \(0.218883\pi\) | |||||||
\(684\) | −4.92820 | −0.188435 | ||||||||
\(685\) | 18.9904 | − | 32.8923i | 0.725585 | − | 1.25675i | ||||
\(686\) | 0.866025 | + | 1.50000i | 0.0330650 | + | 0.0572703i | ||||
\(687\) | 2.33975 | + | 4.05256i | 0.0892669 | + | 0.154615i | ||||
\(688\) | −50.9808 | −1.94362 | ||||||||
\(689\) | −6.27757 | + | 12.6962i | −0.239156 | + | 0.483685i | ||||
\(690\) | −2.78461 | −0.106008 | ||||||||
\(691\) | 10.1962 | + | 17.6603i | 0.387880 | + | 0.671828i | 0.992164 | − | 0.124941i | \(-0.0398742\pi\) |
−0.604284 | + | 0.796769i | \(0.706541\pi\) | |||||||
\(692\) | −7.73205 | − | 13.3923i | −0.293928 | − | 0.509099i | ||||
\(693\) | 5.83013 | − | 10.0981i | 0.221468 | − | 0.383594i | ||||
\(694\) | −18.5885 | −0.705608 | ||||||||
\(695\) | 17.8301 | − | 30.8827i | 0.676335 | − | 1.17145i | ||||
\(696\) | −1.90192 | + | 3.29423i | −0.0720922 | + | 0.124867i | ||||
\(697\) | −22.1769 | −0.840011 | ||||||||
\(698\) | 14.5359 | − | 25.1769i | 0.550192 | − | 0.952960i | ||||
\(699\) | 9.46410 | + | 16.3923i | 0.357965 | + | 0.620014i | ||||
\(700\) | 1.00000 | + | 1.73205i | 0.0377964 | + | 0.0654654i | ||||
\(701\) | −20.7846 | −0.785024 | −0.392512 | − | 0.919747i | \(-0.628394\pi\) | ||||
−0.392512 | + | 0.919747i | \(0.628394\pi\) | |||||||
\(702\) | −24.9282 | + | 1.60770i | −0.940854 | + | 0.0606785i | ||||
\(703\) | −14.0000 | −0.528020 | ||||||||
\(704\) | −2.36603 | − | 4.09808i | −0.0891729 | − | 0.154452i | ||||
\(705\) | 0.588457 | + | 1.01924i | 0.0221626 | + | 0.0383867i | ||||
\(706\) | 2.89230 | − | 5.00962i | 0.108853 | − | 0.188539i | ||||
\(707\) | −4.26795 | −0.160513 | ||||||||
\(708\) | 3.92820 | − | 6.80385i | 0.147631 | − | 0.255704i | ||||
\(709\) | 16.0885 | − | 27.8660i | 0.604215 | − | 1.04653i | −0.387960 | − | 0.921676i | \(-0.626820\pi\) |
0.992175 | − | 0.124854i | \(-0.0398464\pi\) | |||||||
\(710\) | 18.0000 | 0.675528 | ||||||||
\(711\) | 7.15064 | − | 12.3853i | 0.268170 | − | 0.464484i | ||||
\(712\) | 0.803848 | + | 1.39230i | 0.0301255 | + | 0.0521788i | ||||
\(713\) | 3.92820 | + | 6.80385i | 0.147112 | + | 0.254806i | ||||
\(714\) | −5.41154 | −0.202522 | ||||||||
\(715\) | −29.4904 | + | 1.90192i | −1.10288 | + | 0.0711279i | ||||
\(716\) | 6.92820 | 0.258919 | ||||||||
\(717\) | −9.58846 | − | 16.6077i | −0.358087 | − | 0.620226i | ||||
\(718\) | 4.39230 | + | 7.60770i | 0.163919 | + | 0.283917i | ||||
\(719\) | 5.36603 | − | 9.29423i | 0.200119 | − | 0.346616i | −0.748448 | − | 0.663194i | \(-0.769200\pi\) |
0.948567 | + | 0.316578i | \(0.102534\pi\) | |||||||
\(720\) | −21.3397 | −0.795285 | ||||||||
\(721\) | −3.19615 | + | 5.53590i | −0.119031 | + | 0.206168i | ||||
\(722\) | −12.9904 | + | 22.5000i | −0.483452 | + | 0.837363i | ||||
\(723\) | 7.90897 | 0.294138 | ||||||||
\(724\) | 12.7942 | − | 22.1603i | 0.475494 | − | 0.823579i | ||||
\(725\) | −3.00000 | − | 5.19615i | −0.111417 | − | 0.192980i | ||||
\(726\) | −7.22243 | − | 12.5096i | −0.268050 | − | 0.464276i | ||||
\(727\) | 21.1769 | 0.785408 | 0.392704 | − | 0.919665i | \(-0.371540\pi\) | ||||
0.392704 | + | 0.919665i | \(0.371540\pi\) | |||||||
\(728\) | −3.46410 | − | 5.19615i | −0.128388 | − | 0.192582i | ||||
\(729\) | −2.21539 | −0.0820515 | ||||||||
\(730\) | −10.7942 | − | 18.6962i | −0.399512 | − | 0.691976i | ||||
\(731\) | 21.7583 | + | 37.6865i | 0.804761 | + | 1.39389i | ||||
\(732\) | −5.56218 | + | 9.63397i | −0.205584 | + | 0.356082i | ||||
\(733\) | −7.58846 | −0.280286 | −0.140143 | − | 0.990131i | \(-0.544756\pi\) | ||||
−0.140143 | + | 0.990131i | \(0.544756\pi\) | |||||||
\(734\) | −5.36603 | + | 9.29423i | −0.198064 | + | 0.343056i | ||||
\(735\) | −0.633975 | + | 1.09808i | −0.0233845 | + | 0.0405032i | ||||
\(736\) | 6.58846 | 0.242854 | ||||||||
\(737\) | −9.92820 | + | 17.1962i | −0.365710 | + | 0.633428i | ||||
\(738\) | −11.0885 | − | 19.2058i | −0.408172 | − | 0.706974i | ||||
\(739\) | 0.392305 | + | 0.679492i | 0.0144312 | + | 0.0249955i | 0.873151 | − | 0.487450i | \(-0.162073\pi\) |
−0.858720 | + | 0.512446i | \(0.828740\pi\) | |||||||
\(740\) | 12.1244 | 0.445700 | ||||||||
\(741\) | 2.33975 | − | 4.73205i | 0.0859527 | − | 0.173836i | ||||
\(742\) | −6.80385 | −0.249777 | ||||||||
\(743\) | 14.1962 | + | 24.5885i | 0.520806 | + | 0.902063i | 0.999707 | + | 0.0241941i | \(0.00770196\pi\) |
−0.478901 | + | 0.877869i | \(0.658965\pi\) | |||||||
\(744\) | −3.92820 | − | 6.80385i | −0.144015 | − | 0.249441i | ||||
\(745\) | 0.401924 | − | 0.696152i | 0.0147253 | − | 0.0255051i | ||||
\(746\) | −16.2679 | −0.595612 | ||||||||
\(747\) | 10.0981 | − | 17.4904i | 0.369469 | − | 0.639940i | ||||
\(748\) | 10.0981 | − | 17.4904i | 0.369222 | − | 0.639512i | ||||
\(749\) | 19.8564 | 0.725537 | ||||||||
\(750\) | −7.68653 | + | 13.3135i | −0.280673 | + | 0.486139i | ||||
\(751\) | −23.0981 | − | 40.0070i | −0.842861 | − | 1.45988i | −0.887466 | − | 0.460873i | \(-0.847536\pi\) |
0.0446053 | − | 0.999005i | \(-0.485797\pi\) | |||||||
\(752\) | −2.32051 | − | 4.01924i | −0.0846202 | − | 0.146567i | ||||
\(753\) | 16.3923 | 0.597369 | ||||||||
\(754\) | −10.3923 | − | 15.5885i | −0.378465 | − | 0.567698i | ||||
\(755\) | −3.46410 | −0.126072 | ||||||||
\(756\) | −2.00000 | − | 3.46410i | −0.0727393 | − | 0.125988i | ||||
\(757\) | 8.00000 | + | 13.8564i | 0.290765 | + | 0.503620i | 0.973991 | − | 0.226587i | \(-0.0727569\pi\) |
−0.683226 | + | 0.730207i | \(0.739424\pi\) | |||||||
\(758\) | −3.97372 | + | 6.88269i | −0.144332 | + | 0.249990i | ||||
\(759\) | −4.39230 | −0.159431 | ||||||||
\(760\) | 3.00000 | − | 5.19615i | 0.108821 | − | 0.188484i | ||||
\(761\) | −3.33975 | + | 5.78461i | −0.121066 | + | 0.209692i | −0.920188 | − | 0.391476i | \(-0.871965\pi\) |
0.799123 | + | 0.601168i | \(0.205298\pi\) | |||||||
\(762\) | −3.03332 | −0.109886 | ||||||||
\(763\) | −6.19615 | + | 10.7321i | −0.224316 | + | 0.388526i | ||||
\(764\) | −0.633975 | − | 1.09808i | −0.0229364 | − | 0.0397270i | ||||
\(765\) | 9.10770 | + | 15.7750i | 0.329289 | + | 0.570346i | ||||
\(766\) | −9.80385 | −0.354227 | ||||||||
\(767\) | −21.4641 | − | 32.1962i | −0.775024 | − | 1.16254i | ||||
\(768\) | −13.9090 | −0.501897 | ||||||||
\(769\) | 23.5885 | + | 40.8564i | 0.850622 | + | 1.47332i | 0.880648 | + | 0.473771i | \(0.157107\pi\) |
−0.0300268 | + | 0.999549i | \(0.509559\pi\) | |||||||
\(770\) | −7.09808 | − | 12.2942i | −0.255797 | − | 0.443053i | ||||
\(771\) | −6.63397 | + | 11.4904i | −0.238917 | + | 0.413816i | ||||