Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(267,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.267");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.k (of order \(4\), 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: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(26\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 267.18 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.d.343.18 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707119 | + | 1.22474i | 0.500009 | + | 0.866020i | ||||
\(3\) | 1.27216 | + | 1.27216i | 0.734482 | + | 0.734482i | 0.971504 | − | 0.237022i | \(-0.0761714\pi\) |
−0.237022 | + | 0.971504i | \(0.576171\pi\) | |||||||
\(4\) | −0.999965 | + | 1.73207i | −0.499983 | + | 0.866035i | ||||
\(5\) | 2.08931 | − | 0.796745i | 0.934366 | − | 0.356315i | ||||
\(6\) | −0.658494 | + | 2.45763i | −0.268829 | + | 1.00332i | ||||
\(7\) | −0.691067 | + | 0.691067i | −0.261199 | + | 0.261199i | −0.825541 | − | 0.564342i | \(-0.809130\pi\) |
0.564342 | + | 0.825541i | \(0.309130\pi\) | |||||||
\(8\) | −2.82843 | 8.52354e-5i | −1.00000 | 3.01353e-5i | ||||||
\(9\) | 0.236784i | 0.0789279i | ||||||||
\(10\) | 2.45319 | + | 1.99546i | 0.775767 | + | 0.631019i | ||||
\(11\) | 2.48162i | 0.748237i | 0.927381 | + | 0.374119i | \(0.122055\pi\) | ||||
−0.927381 | + | 0.374119i | \(0.877945\pi\) | |||||||
\(12\) | −3.47559 | + | 0.931356i | −1.00332 | + | 0.268859i | ||||
\(13\) | 0.299596 | − | 0.299596i | 0.0830930 | − | 0.0830930i | −0.664339 | − | 0.747432i | \(-0.731287\pi\) |
0.747432 | + | 0.664339i | \(0.231287\pi\) | |||||||
\(14\) | −1.33504 | − | 0.357709i | −0.356805 | − | 0.0956018i | ||||
\(15\) | 3.67152 | + | 1.64434i | 0.947982 | + | 0.424568i | ||||
\(16\) | −2.00014 | − | 3.46402i | −0.500035 | − | 0.866005i | ||||
\(17\) | 1.98979 | + | 1.98979i | 0.482594 | + | 0.482594i | 0.905959 | − | 0.423365i | \(-0.139151\pi\) |
−0.423365 | + | 0.905959i | \(0.639151\pi\) | |||||||
\(18\) | −0.289998 | + | 0.167434i | −0.0683531 | + | 0.0394646i | ||||
\(19\) | −1.00000 | −0.229416 | ||||||||
\(20\) | −0.709214 | + | 4.41554i | −0.158585 | + | 0.987345i | ||||
\(21\) | −1.75830 | −0.383692 | ||||||||
\(22\) | −3.03934 | + | 1.75480i | −0.647989 | + | 0.374125i | ||||
\(23\) | −3.56603 | − | 3.56603i | −0.743568 | − | 0.743568i | 0.229695 | − | 0.973263i | \(-0.426227\pi\) |
−0.973263 | + | 0.229695i | \(0.926227\pi\) | |||||||
\(24\) | −3.59832 | − | 3.59810i | −0.734504 | − | 0.734460i | ||||
\(25\) | 3.73039 | − | 3.32929i | 0.746079 | − | 0.665858i | ||||
\(26\) | 0.578776 | + | 0.155076i | 0.113507 | + | 0.0304130i | ||||
\(27\) | 3.51525 | − | 3.51525i | 0.676511 | − | 0.676511i | ||||
\(28\) | −0.505934 | − | 1.88802i | −0.0956126 | − | 0.356802i | ||||
\(29\) | − | 5.50279i | − | 1.02184i | −0.859627 | − | 0.510921i | \(-0.829304\pi\) | ||
0.859627 | − | 0.510921i | \(-0.170696\pi\) | |||||||
\(30\) | 0.582311 | + | 5.65939i | 0.106315 | + | 1.03326i | ||||
\(31\) | 1.55566i | 0.279405i | 0.990193 | + | 0.139703i | \(0.0446147\pi\) | ||||
−0.990193 | + | 0.139703i | \(0.955385\pi\) | |||||||
\(32\) | 2.82818 | − | 4.89912i | 0.499957 | − | 0.866051i | ||||
\(33\) | −3.15702 | + | 3.15702i | −0.549567 | + | 0.549567i | ||||
\(34\) | −1.02995 | + | 3.84398i | −0.176635 | + | 0.659238i | ||||
\(35\) | −0.893246 | + | 1.99446i | −0.150986 | + | 0.337124i | ||||
\(36\) | −0.410126 | − | 0.236775i | −0.0683543 | − | 0.0394626i | ||||
\(37\) | 1.57326 | + | 1.57326i | 0.258642 | + | 0.258642i | 0.824502 | − | 0.565860i | \(-0.191456\pi\) |
−0.565860 | + | 0.824502i | \(0.691456\pi\) | |||||||
\(38\) | −0.707119 | − | 1.22474i | −0.114710 | − | 0.198679i | ||||
\(39\) | 0.762268 | 0.122061 | ||||||||
\(40\) | −5.90938 | + | 2.25371i | −0.934355 | + | 0.356343i | ||||
\(41\) | −8.98970 | −1.40395 | −0.701977 | − | 0.712199i | \(-0.747699\pi\) | ||||
−0.701977 | + | 0.712199i | \(0.747699\pi\) | |||||||
\(42\) | −1.24333 | − | 2.15345i | −0.191849 | − | 0.332285i | ||||
\(43\) | −0.612449 | − | 0.612449i | −0.0933977 | − | 0.0933977i | 0.658864 | − | 0.752262i | \(-0.271037\pi\) |
−0.752262 | + | 0.658864i | \(0.771037\pi\) | |||||||
\(44\) | −4.29835 | − | 2.48154i | −0.648000 | − | 0.374106i | ||||
\(45\) | 0.188656 | + | 0.494713i | 0.0281232 | + | 0.0737475i | ||||
\(46\) | 1.84584 | − | 6.88905i | 0.272155 | − | 1.01574i | ||||
\(47\) | 7.25685 | − | 7.25685i | 1.05852 | − | 1.05852i | 0.0603431 | − | 0.998178i | \(-0.480781\pi\) |
0.998178 | − | 0.0603431i | \(-0.0192195\pi\) | |||||||
\(48\) | 1.86229 | − | 6.95129i | 0.268799 | − | 1.00333i | ||||
\(49\) | 6.04485i | 0.863550i | ||||||||
\(50\) | 6.71534 | + | 2.21455i | 0.949692 | + | 0.313185i | ||||
\(51\) | 5.06266i | 0.708914i | ||||||||
\(52\) | 0.219336 | + | 0.818507i | 0.0304164 | + | 0.113506i | ||||
\(53\) | 0.698187 | − | 0.698187i | 0.0959034 | − | 0.0959034i | −0.657527 | − | 0.753431i | \(-0.728398\pi\) |
0.753431 | + | 0.657527i | \(0.228398\pi\) | |||||||
\(54\) | 6.79097 | + | 1.81956i | 0.924134 | + | 0.247611i | ||||
\(55\) | 1.97722 | + | 5.18487i | 0.266608 | + | 0.699127i | ||||
\(56\) | 1.95457 | − | 1.95469i | 0.261191 | − | 0.261207i | ||||
\(57\) | −1.27216 | − | 1.27216i | −0.168502 | − | 0.168502i | ||||
\(58\) | 6.73948 | − | 3.89113i | 0.884937 | − | 0.510930i | ||||
\(59\) | 6.30971 | 0.821454 | 0.410727 | − | 0.911758i | \(-0.365275\pi\) | ||||
0.410727 | + | 0.911758i | \(0.365275\pi\) | |||||||
\(60\) | −6.51951 | + | 4.71504i | −0.841665 | + | 0.608710i | ||||
\(61\) | −10.9589 | −1.40315 | −0.701575 | − | 0.712596i | \(-0.747519\pi\) | ||||
−0.701575 | + | 0.712596i | \(0.747519\pi\) | |||||||
\(62\) | −1.90528 | + | 1.10004i | −0.241971 | + | 0.139705i | ||||
\(63\) | −0.163633 | − | 0.163633i | −0.0206159 | − | 0.0206159i | ||||
\(64\) | 8.00000 | 0.000482164i | 1.00000 | 6.02705e-5i | ||||||
\(65\) | 0.387246 | − | 0.864649i | 0.0480319 | − | 0.107247i | ||||
\(66\) | −6.09891 | − | 1.63413i | −0.750724 | − | 0.201148i | ||||
\(67\) | 9.08244 | − | 9.08244i | 1.10960 | − | 1.10960i | 0.116393 | − | 0.993203i | \(-0.462867\pi\) |
0.993203 | − | 0.116393i | \(-0.0371333\pi\) | |||||||
\(68\) | −5.43617 | + | 1.45673i | −0.659232 | + | 0.176655i | ||||
\(69\) | − | 9.07312i | − | 1.09227i | ||||||
\(70\) | −3.07432 | + | 0.316325i | −0.367451 | + | 0.0378081i | ||||
\(71\) | 7.70738i | 0.914698i | 0.889287 | + | 0.457349i | \(0.151201\pi\) | ||||
−0.889287 | + | 0.457349i | \(0.848799\pi\) | |||||||
\(72\) | −2.01824e−5 | − | 0.669725i | −2.37851e−6 | − | 0.0789279i | ||||
\(73\) | −1.79811 | + | 1.79811i | −0.210453 | + | 0.210453i | −0.804460 | − | 0.594007i | \(-0.797545\pi\) |
0.594007 | + | 0.804460i | \(0.297545\pi\) | |||||||
\(74\) | −0.814347 | + | 3.03931i | −0.0946660 | + | 0.353312i | ||||
\(75\) | 8.98105 | + | 0.510271i | 1.03704 | + | 0.0589210i | ||||
\(76\) | 0.999965 | − | 1.73207i | 0.114704 | − | 0.198682i | ||||
\(77\) | −1.71497 | − | 1.71497i | −0.195439 | − | 0.195439i | ||||
\(78\) | 0.539014 | + | 0.933579i | 0.0610314 | + | 0.105707i | ||||
\(79\) | −0.823249 | −0.0926228 | −0.0463114 | − | 0.998927i | \(-0.514747\pi\) | ||||
−0.0463114 | + | 0.998927i | \(0.514747\pi\) | |||||||
\(80\) | −6.93884 | − | 5.64380i | −0.775786 | − | 0.630996i | ||||
\(81\) | 9.65428 | 1.07270 | ||||||||
\(82\) | −6.35679 | − | 11.0100i | −0.701990 | − | 1.21585i | ||||
\(83\) | −0.768276 | − | 0.768276i | −0.0843293 | − | 0.0843293i | 0.663684 | − | 0.748013i | \(-0.268992\pi\) |
−0.748013 | + | 0.663684i | \(0.768992\pi\) | |||||||
\(84\) | 1.75824 | − | 3.04549i | 0.191839 | − | 0.332291i | ||||
\(85\) | 5.74263 | + | 2.57192i | 0.622875 | + | 0.278964i | ||||
\(86\) | 0.317015 | − | 1.18316i | 0.0341846 | − | 0.127584i | ||||
\(87\) | 7.00043 | − | 7.00043i | 0.750525 | − | 0.750525i | ||||
\(88\) | −0.000211522 | − | 7.01909i | −2.25483e−5 | − | 0.748237i | ||||
\(89\) | 10.3379i | 1.09582i | 0.836538 | + | 0.547909i | \(0.184576\pi\) | ||||
−0.836538 | + | 0.547909i | \(0.815424\pi\) | |||||||
\(90\) | −0.472492 | + | 0.580876i | −0.0498050 | + | 0.0612297i | ||||
\(91\) | 0.414082i | 0.0434076i | ||||||||
\(92\) | 9.74252 | − | 2.61071i | 1.01573 | − | 0.272185i | ||||
\(93\) | −1.97905 | + | 1.97905i | −0.205218 | + | 0.205218i | ||||
\(94\) | 14.0192 | + | 3.75628i | 1.44597 | + | 0.387431i | ||||
\(95\) | −2.08931 | + | 0.796745i | −0.214358 | + | 0.0817443i | ||||
\(96\) | 9.83037 | − | 2.63457i | 1.00331 | − | 0.268889i | ||||
\(97\) | −5.43484 | − | 5.43484i | −0.551825 | − | 0.551825i | 0.375142 | − | 0.926967i | \(-0.377594\pi\) |
−0.926967 | + | 0.375142i | \(0.877594\pi\) | |||||||
\(98\) | −7.40336 | + | 4.27443i | −0.747852 | + | 0.431783i | ||||
\(99\) | −0.587608 | −0.0590568 | ||||||||
\(100\) | 2.03630 | + | 9.79048i | 0.203630 | + | 0.979048i | ||||
\(101\) | 14.5693 | 1.44970 | 0.724849 | − | 0.688908i | \(-0.241909\pi\) | ||||
0.724849 | + | 0.688908i | \(0.241909\pi\) | |||||||
\(102\) | −6.20043 | + | 3.57990i | −0.613934 | + | 0.354463i | ||||
\(103\) | −6.64745 | − | 6.64745i | −0.654992 | − | 0.654992i | 0.299199 | − | 0.954191i | \(-0.403281\pi\) |
−0.954191 | + | 0.299199i | \(0.903281\pi\) | |||||||
\(104\) | −0.847360 | + | 0.847411i | −0.0830905 | + | 0.0830955i | ||||
\(105\) | −3.67362 | + | 1.40091i | −0.358508 | + | 0.136715i | ||||
\(106\) | 1.34880 | + | 0.361395i | 0.131007 | + | 0.0351018i | ||||
\(107\) | −12.1231 | + | 12.1231i | −1.17199 | + | 1.17199i | −0.190254 | + | 0.981735i | \(0.560931\pi\) |
−0.981735 | + | 0.190254i | \(0.939069\pi\) | |||||||
\(108\) | 2.57354 | + | 9.60380i | 0.247639 | + | 0.924126i | ||||
\(109\) | − | 10.7770i | − | 1.03225i | −0.856513 | − | 0.516125i | \(-0.827374\pi\) | ||
0.856513 | − | 0.516125i | \(-0.172626\pi\) | |||||||
\(110\) | −4.95197 | + | 6.08790i | −0.472152 | + | 0.580458i | ||||
\(111\) | 4.00287i | 0.379936i | ||||||||
\(112\) | 3.77610 | + | 1.01164i | 0.356808 | + | 0.0955911i | ||||
\(113\) | −5.29688 | + | 5.29688i | −0.498289 | + | 0.498289i | −0.910905 | − | 0.412616i | \(-0.864615\pi\) |
0.412616 | + | 0.910905i | \(0.364615\pi\) | |||||||
\(114\) | 0.658494 | − | 2.45763i | 0.0616736 | − | 0.230178i | ||||
\(115\) | −10.2917 | − | 4.60931i | −0.959709 | − | 0.429820i | ||||
\(116\) | 9.53123 | + | 5.50260i | 0.884952 | + | 0.510904i | ||||
\(117\) | 0.0709394 | + | 0.0709394i | 0.00655835 | + | 0.00655835i | ||||
\(118\) | 4.46171 | + | 7.72774i | 0.410734 | + | 0.711396i | ||||
\(119\) | −2.75015 | −0.252106 | ||||||||
\(120\) | −10.3848 | − | 4.65059i | −0.947995 | − | 0.424539i | ||||
\(121\) | 4.84155 | 0.440141 | ||||||||
\(122\) | −7.74928 | − | 13.4218i | −0.701587 | − | 1.21516i | ||||
\(123\) | −11.4363 | − | 11.4363i | −1.03118 | − | 1.03118i | ||||
\(124\) | −2.69452 | − | 1.55561i | −0.241975 | − | 0.139698i | ||||
\(125\) | 5.14134 | − | 9.92807i | 0.459855 | − | 0.887994i | ||||
\(126\) | 0.0846997 | − | 0.316116i | 0.00754565 | − | 0.0281619i | ||||
\(127\) | 1.41770 | − | 1.41770i | 0.125801 | − | 0.125801i | −0.641403 | − | 0.767204i | \(-0.721647\pi\) |
0.767204 | + | 0.641403i | \(0.221647\pi\) | |||||||
\(128\) | 5.65754 | + | 9.79756i | 0.500061 | + | 0.865990i | ||||
\(129\) | − | 1.55827i | − | 0.137198i | ||||||
\(130\) | 1.33280 | − | 0.137135i | 0.116894 | − | 0.0120276i | ||||
\(131\) | 17.6596i | 1.54292i | 0.636275 | + | 0.771462i | \(0.280474\pi\) | ||||
−0.636275 | + | 0.771462i | \(0.719526\pi\) | |||||||
\(132\) | −2.31127 | − | 8.62510i | −0.201171 | − | 0.750718i | ||||
\(133\) | 0.691067 | − | 0.691067i | 0.0599231 | − | 0.0599231i | ||||
\(134\) | 17.5460 | + | 4.70124i | 1.51574 | + | 0.406125i | ||||
\(135\) | 4.54368 | − | 10.1452i | 0.391058 | − | 0.873160i | ||||
\(136\) | −5.62814 | − | 5.62780i | −0.482609 | − | 0.482580i | ||||
\(137\) | −1.63956 | − | 1.63956i | −0.140077 | − | 0.140077i | 0.633591 | − | 0.773668i | \(-0.281580\pi\) |
−0.773668 | + | 0.633591i | \(0.781580\pi\) | |||||||
\(138\) | 11.1122 | − | 6.41577i | 0.945932 | − | 0.546147i | ||||
\(139\) | −20.3321 | −1.72454 | −0.862272 | − | 0.506446i | \(-0.830959\pi\) | ||||
−0.862272 | + | 0.506446i | \(0.830959\pi\) | |||||||
\(140\) | −2.56132 | − | 3.54155i | −0.216471 | − | 0.299316i | ||||
\(141\) | 18.4638 | 1.55493 | ||||||||
\(142\) | −9.43952 | + | 5.45004i | −0.792147 | + | 0.457357i | ||||
\(143\) | 0.743484 | + | 0.743484i | 0.0621733 | + | 0.0621733i | ||||
\(144\) | 0.820224 | − | 0.473600i | 0.0683520 | − | 0.0394667i | ||||
\(145\) | −4.38432 | − | 11.4970i | −0.364098 | − | 0.954775i | ||||
\(146\) | −3.47369 | − | 0.930736i | −0.287485 | − | 0.0770282i | ||||
\(147\) | −7.69002 | + | 7.69002i | −0.634262 | + | 0.634262i | ||||
\(148\) | −4.29820 | + | 1.15179i | −0.353309 | + | 0.0946766i | ||||
\(149\) | 4.00501i | 0.328104i | 0.986452 | + | 0.164052i | \(0.0524564\pi\) | ||||
−0.986452 | + | 0.164052i | \(0.947544\pi\) | |||||||
\(150\) | 5.72572 | + | 11.3603i | 0.467503 | + | 0.927561i | ||||
\(151\) | − | 18.6011i | − | 1.51373i | −0.653569 | − | 0.756867i | \(-0.726729\pi\) | ||
0.653569 | − | 0.756867i | \(-0.273271\pi\) | |||||||
\(152\) | 2.82843 | 8.52354e-5i | 0.229416 | 6.91351e-6i | ||||||
\(153\) | −0.471149 | + | 0.471149i | −0.0380901 | + | 0.0380901i | ||||
\(154\) | 0.887700 | − | 3.31307i | 0.0715329 | − | 0.266975i | ||||
\(155\) | 1.23947 | + | 3.25026i | 0.0995564 | + | 0.261067i | ||||
\(156\) | −0.762242 | + | 1.32030i | −0.0610282 | + | 0.105709i | ||||
\(157\) | −3.87088 | − | 3.87088i | −0.308930 | − | 0.308930i | 0.535564 | − | 0.844494i | \(-0.320099\pi\) |
−0.844494 | + | 0.535564i | \(0.820099\pi\) | |||||||
\(158\) | −0.582135 | − | 1.00826i | −0.0463122 | − | 0.0802132i | ||||
\(159\) | 1.77641 | 0.140879 | ||||||||
\(160\) | 2.00558 | − | 12.4891i | 0.158555 | − | 0.987350i | ||||
\(161\) | 4.92873 | 0.388438 | ||||||||
\(162\) | 6.82673 | + | 11.8240i | 0.536358 | + | 0.928979i | ||||
\(163\) | −5.65655 | − | 5.65655i | −0.443056 | − | 0.443056i | 0.449982 | − | 0.893038i | \(-0.351430\pi\) |
−0.893038 | + | 0.449982i | \(0.851430\pi\) | |||||||
\(164\) | 8.98938 | − | 15.5708i | 0.701953 | − | 1.21587i | ||||
\(165\) | −4.08064 | + | 9.11133i | −0.317677 | + | 0.709316i | ||||
\(166\) | 0.397674 | − | 1.48420i | 0.0308655 | − | 0.115196i | ||||
\(167\) | 7.37211 | − | 7.37211i | 0.570471 | − | 0.570471i | −0.361789 | − | 0.932260i | \(-0.617834\pi\) |
0.932260 | + | 0.361789i | \(0.117834\pi\) | |||||||
\(168\) | 4.97321 | 0.000149869i | 0.383692 | 1.15627e-5i | ||||||
\(169\) | 12.8205i | 0.986191i | ||||||||
\(170\) | 0.910794 | + | 8.85186i | 0.0698547 | + | 0.678907i | ||||
\(171\) | − | 0.236784i | − | 0.0181073i | ||||||
\(172\) | 1.67323 | − | 0.448378i | 0.127583 | − | 0.0341885i | ||||
\(173\) | −5.10352 | + | 5.10352i | −0.388013 | + | 0.388013i | −0.873978 | − | 0.485965i | \(-0.838468\pi\) |
0.485965 | + | 0.873978i | \(0.338468\pi\) | |||||||
\(174\) | 13.5238 | + | 3.62355i | 1.02524 | + | 0.274701i | ||||
\(175\) | −0.277191 | + | 4.87872i | −0.0209537 | + | 0.368796i | ||||
\(176\) | 8.59639 | − | 4.96359i | 0.647978 | − | 0.374145i | ||||
\(177\) | 8.02696 | + | 8.02696i | 0.603343 | + | 0.603343i | ||||
\(178\) | −12.6612 | + | 7.31014i | −0.949000 | + | 0.547918i | ||||
\(179\) | −22.0833 | −1.65059 | −0.825293 | − | 0.564705i | \(-0.808990\pi\) | ||||
−0.825293 | + | 0.564705i | \(0.808990\pi\) | |||||||
\(180\) | −1.04553 | − | 0.167930i | −0.0779291 | − | 0.0125168i | ||||
\(181\) | −22.6670 | −1.68483 | −0.842414 | − | 0.538831i | \(-0.818866\pi\) | ||||
−0.842414 | + | 0.538831i | \(0.818866\pi\) | |||||||
\(182\) | −0.507142 | + | 0.292805i | −0.0375918 | + | 0.0217042i | ||||
\(183\) | −13.9415 | − | 13.9415i | −1.03059 | − | 1.03059i | ||||
\(184\) | 10.0866 | + | 10.0859i | 0.743591 | + | 0.743546i | ||||
\(185\) | 4.54050 | + | 2.03353i | 0.333824 | + | 0.149508i | ||||
\(186\) | −3.82325 | − | 1.02440i | −0.280334 | − | 0.0751123i | ||||
\(187\) | −4.93790 | + | 4.93790i | −0.361095 | + | 0.361095i | ||||
\(188\) | 5.31278 | + | 19.8260i | 0.387475 | + | 1.44596i | ||||
\(189\) | 4.85855i | 0.353408i | ||||||||
\(190\) | −2.45319 | − | 1.99546i | −0.177973 | − | 0.144766i | ||||
\(191\) | 27.4882i | 1.98898i | 0.104855 | + | 0.994488i | \(0.466562\pi\) | ||||
−0.104855 | + | 0.994488i | \(0.533438\pi\) | |||||||
\(192\) | 10.1779 | + | 10.1767i | 0.734526 | + | 0.734438i | ||||
\(193\) | −12.4032 | + | 12.4032i | −0.892805 | + | 0.892805i | −0.994786 | − | 0.101981i | \(-0.967482\pi\) |
0.101981 | + | 0.994786i | \(0.467482\pi\) | |||||||
\(194\) | 2.81318 | − | 10.4993i | 0.201974 | − | 0.753809i | ||||
\(195\) | 1.59261 | − | 0.607333i | 0.114049 | − | 0.0434921i | ||||
\(196\) | −10.4701 | − | 6.04464i | −0.747865 | − | 0.431760i | ||||
\(197\) | −0.0500370 | − | 0.0500370i | −0.00356499 | − | 0.00356499i | 0.705322 | − | 0.708887i | \(-0.250802\pi\) |
−0.708887 | + | 0.705322i | \(0.750802\pi\) | |||||||
\(198\) | −0.415509 | − | 0.719665i | −0.0295289 | − | 0.0511444i | ||||
\(199\) | 11.8498 | 0.840007 | 0.420003 | − | 0.907523i | \(-0.362029\pi\) | ||||
0.420003 | + | 0.907523i | \(0.362029\pi\) | |||||||
\(200\) | −10.5509 | + | 9.41697i | −0.746059 | + | 0.665880i | ||||
\(201\) | 23.1086 | 1.62996 | ||||||||
\(202\) | 10.3022 | + | 17.8436i | 0.724862 | + | 1.25547i | ||||
\(203\) | 3.80280 | + | 3.80280i | 0.266904 | + | 0.266904i | ||||
\(204\) | −8.76888 | − | 5.06248i | −0.613944 | − | 0.354444i | ||||
\(205\) | −18.7822 | + | 7.16250i | −1.31181 | + | 0.500251i | ||||
\(206\) | 3.44084 | − | 12.8419i | 0.239735 | − | 0.894739i | ||||
\(207\) | 0.844377 | − | 0.844377i | 0.0586883 | − | 0.0586883i | ||||
\(208\) | −1.63704 | − | 0.438573i | −0.113508 | − | 0.0304096i | ||||
\(209\) | − | 2.48162i | − | 0.171657i | ||||||
\(210\) | −4.31344 | − | 3.50861i | −0.297656 | − | 0.242117i | ||||
\(211\) | − | 1.91064i | − | 0.131534i | −0.997835 | − | 0.0657669i | \(-0.979051\pi\) | ||
0.997835 | − | 0.0657669i | \(-0.0209494\pi\) | |||||||
\(212\) | 0.511147 | + | 1.90747i | 0.0351057 | + | 0.131006i | ||||
\(213\) | −9.80503 | + | 9.80503i | −0.671829 | + | 0.671829i | ||||
\(214\) | −23.4202 | − | 6.27517i | −1.60097 | − | 0.428962i | ||||
\(215\) | −1.76756 | − | 0.791628i | −0.120547 | − | 0.0539886i | ||||
\(216\) | −9.94234 | + | 9.94294i | −0.676491 | + | 0.676531i | ||||
\(217\) | −1.07507 | − | 1.07507i | −0.0729804 | − | 0.0729804i | ||||
\(218\) | 13.1990 | − | 7.62063i | 0.893950 | − | 0.516134i | ||||
\(219\) | −4.57497 | −0.309148 | ||||||||
\(220\) | −10.9577 | − | 1.76000i | −0.738769 | − | 0.118659i | ||||
\(221\) | 1.19226 | 0.0802004 | ||||||||
\(222\) | −4.90247 | + | 2.83051i | −0.329032 | + | 0.189971i | ||||
\(223\) | −5.24961 | − | 5.24961i | −0.351540 | − | 0.351540i | 0.509142 | − | 0.860682i | \(-0.329963\pi\) |
−0.860682 | + | 0.509142i | \(0.829963\pi\) | |||||||
\(224\) | 1.43116 | + | 5.34009i | 0.0956233 | + | 0.356799i | ||||
\(225\) | 0.788321 | + | 0.883296i | 0.0525547 | + | 0.0588864i | ||||
\(226\) | −10.2328 | − | 2.74176i | −0.680677 | − | 0.182379i | ||||
\(227\) | −17.1089 | + | 17.1089i | −1.13556 | + | 1.13556i | −0.146322 | + | 0.989237i | \(0.546743\pi\) |
−0.989237 | + | 0.146322i | \(0.953257\pi\) | |||||||
\(228\) | 3.47559 | − | 0.931356i | 0.230176 | − | 0.0616805i | ||||
\(229\) | − | 1.80492i | − | 0.119272i | −0.998220 | − | 0.0596361i | \(-0.981006\pi\) | ||
0.998220 | − | 0.0596361i | \(-0.0189940\pi\) | |||||||
\(230\) | −1.63229 | − | 15.8640i | −0.107630 | − | 1.04604i | ||||
\(231\) | − | 4.36343i | − | 0.287093i | ||||||
\(232\) | 0.000469033 | 15.5642i | 3.07935e−5 | 1.02184i | ||||||
\(233\) | 9.46726 | − | 9.46726i | 0.620221 | − | 0.620221i | −0.325367 | − | 0.945588i | \(-0.605488\pi\) |
0.945588 | + | 0.325367i | \(0.105488\pi\) | |||||||
\(234\) | −0.0367196 | + | 0.137045i | −0.00240043 | + | 0.00895890i | ||||
\(235\) | 9.37992 | − | 20.9436i | 0.611878 | − | 1.36621i | ||||
\(236\) | −6.30949 | + | 10.9289i | −0.410713 | + | 0.711408i | ||||
\(237\) | −1.04731 | − | 1.04731i | −0.0680298 | − | 0.0680298i | ||||
\(238\) | −1.94469 | − | 3.36822i | −0.126055 | − | 0.218329i | ||||
\(239\) | 14.3398 | 0.927565 | 0.463782 | − | 0.885949i | \(-0.346492\pi\) | ||||
0.463782 | + | 0.885949i | \(0.346492\pi\) | |||||||
\(240\) | −1.64751 | − | 16.0071i | −0.106346 | − | 1.03326i | ||||
\(241\) | −10.9568 | −0.705791 | −0.352895 | − | 0.935663i | \(-0.614803\pi\) | ||||
−0.352895 | + | 0.935663i | \(0.614803\pi\) | |||||||
\(242\) | 3.42355 | + | 5.92963i | 0.220074 | + | 0.381171i | ||||
\(243\) | 1.73603 | + | 1.73603i | 0.111367 | + | 0.111367i | ||||
\(244\) | 10.9586 | − | 18.9817i | 0.701550 | − | 1.21518i | ||||
\(245\) | 4.81621 | + | 12.6295i | 0.307696 | + | 0.806872i | ||||
\(246\) | 5.91966 | − | 22.0934i | 0.377424 | − | 1.40862i | ||||
\(247\) | −0.299596 | + | 0.299596i | −0.0190628 | + | 0.0190628i | ||||
\(248\) | −0.000132598 | − | 4.40008i | −8.41996e−6 | − | 0.279405i | ||||
\(249\) | − | 1.95474i | − | 0.123877i | ||||||
\(250\) | 15.7948 | − | 0.723539i | 0.998952 | − | 0.0457606i | ||||
\(251\) | 31.0139i | 1.95758i | 0.204859 | + | 0.978791i | \(0.434326\pi\) | ||||
−0.204859 | + | 0.978791i | \(0.565674\pi\) | |||||||
\(252\) | 0.447052 | − | 0.119797i | 0.0281617 | − | 0.00754650i | ||||
\(253\) | 8.84954 | − | 8.84954i | 0.556366 | − | 0.556366i | ||||
\(254\) | 2.73880 | + | 0.733830i | 0.171848 | + | 0.0460446i | ||||
\(255\) | 4.03365 | + | 10.5774i | 0.252597 | + | 0.662385i | ||||
\(256\) | −7.99889 | + | 13.8570i | −0.499930 | + | 0.866066i | ||||
\(257\) | −11.4696 | − | 11.4696i | −0.715454 | − | 0.715454i | 0.252217 | − | 0.967671i | \(-0.418840\pi\) |
−0.967671 | + | 0.252217i | \(0.918840\pi\) | |||||||
\(258\) | 1.90847 | − | 1.10188i | 0.118816 | − | 0.0686001i | ||||
\(259\) | −2.17445 | −0.135114 | ||||||||
\(260\) | 1.11040 | + | 1.53536i | 0.0688642 | + | 0.0952187i | ||||
\(261\) | 1.30297 | 0.0806519 | ||||||||
\(262\) | −21.6283 | + | 12.4874i | −1.33620 | + | 0.771475i | ||||
\(263\) | −6.91740 | − | 6.91740i | −0.426545 | − | 0.426545i | 0.460905 | − | 0.887450i | \(-0.347525\pi\) |
−0.887450 | + | 0.460905i | \(0.847525\pi\) | |||||||
\(264\) | 8.92914 | − | 8.92968i | 0.549550 | − | 0.549584i | ||||
\(265\) | 0.902449 | − | 2.01500i | 0.0554370 | − | 0.123781i | ||||
\(266\) | 1.33504 | + | 0.357709i | 0.0818567 | + | 0.0219326i | ||||
\(267\) | −13.1515 | + | 13.1515i | −0.804858 | + | 0.804858i | ||||
\(268\) | 6.64930 | + | 24.8135i | 0.406171 | + | 1.51573i | ||||
\(269\) | 7.30112i | 0.445157i | 0.974915 | + | 0.222579i | \(0.0714474\pi\) | ||||
−0.974915 | + | 0.222579i | \(0.928553\pi\) | |||||||
\(270\) | 15.6381 | − | 1.60905i | 0.951706 | − | 0.0979238i | ||||
\(271\) | − | 8.35803i | − | 0.507714i | −0.967242 | − | 0.253857i | \(-0.918301\pi\) | ||
0.967242 | − | 0.253857i | \(-0.0816992\pi\) | |||||||
\(272\) | 2.91281 | − | 10.8725i | 0.176615 | − | 0.659243i | ||||
\(273\) | −0.526779 | + | 0.526779i | −0.0318821 | + | 0.0318821i | ||||
\(274\) | 0.848666 | − | 3.16739i | 0.0512698 | − | 0.191349i | ||||
\(275\) | 8.26204 | + | 9.25743i | 0.498220 | + | 0.558244i | ||||
\(276\) | 15.7153 | + | 9.07280i | 0.945949 | + | 0.546118i | ||||
\(277\) | 20.0525 | + | 20.0525i | 1.20484 | + | 1.20484i | 0.972677 | + | 0.232161i | \(0.0745798\pi\) |
0.232161 | + | 0.972677i | \(0.425420\pi\) | |||||||
\(278\) | −14.3772 | − | 24.9015i | −0.862287 | − | 1.49349i | ||||
\(279\) | −0.368356 | −0.0220529 | ||||||||
\(280\) | 2.52631 | − | 5.64125i | 0.150976 | − | 0.337129i | ||||
\(281\) | 10.6639 | 0.636158 | 0.318079 | − | 0.948064i | \(-0.396962\pi\) | ||||
0.318079 | + | 0.948064i | \(0.396962\pi\) | |||||||
\(282\) | 13.0561 | + | 22.6133i | 0.777478 | + | 1.34660i | ||||
\(283\) | 0.153098 | + | 0.153098i | 0.00910071 | + | 0.00910071i | 0.711642 | − | 0.702542i | \(-0.247952\pi\) |
−0.702542 | + | 0.711642i | \(0.747952\pi\) | |||||||
\(284\) | −13.3497 | − | 7.70712i | −0.792161 | − | 0.457333i | ||||
\(285\) | −3.67152 | − | 1.64434i | −0.217482 | − | 0.0974025i | ||||
\(286\) | −0.384841 | + | 1.43630i | −0.0227561 | + | 0.0849305i | ||||
\(287\) | 6.21248 | − | 6.21248i | 0.366711 | − | 0.366711i | ||||
\(288\) | 1.16003 | + | 0.669667i | 0.0683555 | + | 0.0394605i | ||||
\(289\) | − | 9.08150i | − | 0.534206i | ||||||
\(290\) | 10.9806 | − | 13.4994i | 0.644802 | − | 0.792712i | ||||
\(291\) | − | 13.8280i | − | 0.810611i | ||||||
\(292\) | −1.31641 | − | 4.91250i | −0.0770369 | − | 0.287483i | ||||
\(293\) | 14.1434 | − | 14.1434i | 0.826264 | − | 0.826264i | −0.160734 | − | 0.986998i | \(-0.551386\pi\) |
0.986998 | + | 0.160734i | \(0.0513861\pi\) | |||||||
\(294\) | −14.8560 | − | 3.98050i | −0.866421 | − | 0.232147i | ||||
\(295\) | 13.1829 | − | 5.02723i | 0.767538 | − | 0.292697i | ||||
\(296\) | −4.44998 | − | 4.44971i | −0.258650 | − | 0.258634i | ||||
\(297\) | 8.72353 | + | 8.72353i | 0.506191 | + | 0.506191i | ||||
\(298\) | −4.90509 | + | 2.83202i | −0.284144 | + | 0.164055i | ||||
\(299\) | −2.13673 | −0.123571 | ||||||||
\(300\) | −9.86456 | + | 15.0456i | −0.569531 | + | 0.868656i | ||||
\(301\) | 0.846487 | 0.0487907 | ||||||||
\(302\) | 22.7814 | − | 13.1532i | 1.31092 | − | 0.756880i | ||||
\(303\) | 18.5345 | + | 18.5345i | 1.06478 | + | 1.06478i | ||||
\(304\) | 2.00014 | + | 3.46402i | 0.114716 | + | 0.198675i | ||||
\(305\) | −22.8966 | + | 8.73149i | −1.31105 | + | 0.499964i | ||||
\(306\) | −0.910192 | − | 0.243876i | −0.0520322 | − | 0.0139414i | ||||
\(307\) | 3.16288 | − | 3.16288i | 0.180515 | − | 0.180515i | −0.611065 | − | 0.791580i | \(-0.709259\pi\) |
0.791580 | + | 0.611065i | \(0.209259\pi\) | |||||||
\(308\) | 4.68536 | − | 1.25554i | 0.266973 | − | 0.0715409i | ||||
\(309\) | − | 16.9132i | − | 0.962160i | ||||||
\(310\) | −3.10426 | + | 3.81634i | −0.176310 | + | 0.216754i | ||||
\(311\) | 9.01815i | 0.511372i | 0.966760 | + | 0.255686i | \(0.0823014\pi\) | ||||
−0.966760 | + | 0.255686i | \(0.917699\pi\) | |||||||
\(312\) | −2.15602 | 6.49722e-5i | −0.122061 | 3.67833e-6i | ||||||
\(313\) | 23.6184 | − | 23.6184i | 1.33499 | − | 1.33499i | 0.434154 | − | 0.900839i | \(-0.357048\pi\) |
0.900839 | − | 0.434154i | \(-0.142952\pi\) | |||||||
\(314\) | 2.00364 | − | 7.47799i | 0.113072 | − | 0.422007i | ||||
\(315\) | −0.472254 | − | 0.211506i | −0.0266085 | − | 0.0119170i | ||||
\(316\) | 0.823221 | − | 1.42593i | 0.0463098 | − | 0.0802146i | ||||
\(317\) | −20.2187 | − | 20.2187i | −1.13559 | − | 1.13559i | −0.989231 | − | 0.146362i | \(-0.953243\pi\) |
−0.146362 | − | 0.989231i | \(-0.546757\pi\) | |||||||
\(318\) | 1.25614 | + | 2.17564i | 0.0704406 | + | 0.122004i | ||||
\(319\) | 13.6559 | 0.764581 | ||||||||
\(320\) | 16.7141 | − | 6.37497i | 0.934344 | − | 0.356372i | ||||
\(321\) | −30.8452 | −1.72161 | ||||||||
\(322\) | 3.48520 | + | 6.03640i | 0.194223 | + | 0.336395i | ||||
\(323\) | −1.98979 | − | 1.98979i | −0.110715 | − | 0.110715i | ||||
\(324\) | −9.65395 | + | 16.7219i | −0.536330 | + | 0.928995i | ||||
\(325\) | 0.120170 | − | 2.11505i | 0.00666582 | − | 0.117322i | ||||
\(326\) | 2.92794 | − | 10.9277i | 0.162163 | − | 0.605227i | ||||
\(327\) | 13.7101 | − | 13.7101i | 0.758170 | − | 0.758170i | ||||
\(328\) | 25.4267 | 0.000766241i | 1.40395 | 4.23086e-5i | ||||||
\(329\) | 10.0299i | 0.552969i | ||||||||
\(330\) | −14.0445 | + | 1.44508i | −0.773123 | + | 0.0795489i | ||||
\(331\) | − | 3.28873i | − | 0.180765i | −0.995907 | − | 0.0903826i | \(-0.971191\pi\) | ||
0.995907 | − | 0.0903826i | \(-0.0288090\pi\) | |||||||
\(332\) | 2.09896 | − | 0.562460i | 0.115195 | − | 0.0308690i | ||||
\(333\) | −0.372522 | + | 0.372522i | −0.0204141 | + | 0.0204141i | ||||
\(334\) | 14.2419 | + | 3.81594i | 0.779280 | + | 0.208799i | ||||
\(335\) | 11.7396 | − | 26.2124i | 0.641403 | − | 1.43214i | ||||
\(336\) | 3.51684 | + | 6.09078i | 0.191859 | + | 0.332279i | ||||
\(337\) | 11.8124 | + | 11.8124i | 0.643461 | + | 0.643461i | 0.951405 | − | 0.307943i | \(-0.0996407\pi\) |
−0.307943 | + | 0.951405i | \(0.599641\pi\) | |||||||
\(338\) | −15.7017 | + | 9.06561i | −0.854062 | + | 0.493104i | ||||
\(339\) | −13.4770 | −0.731968 | ||||||||
\(340\) | −10.1972 | + | 7.37481i | −0.553019 | + | 0.399955i | ||||
\(341\) | −3.86057 | −0.209062 | ||||||||
\(342\) | 0.289998 | − | 0.167434i | 0.0156813 | − | 0.00905381i | ||||
\(343\) | −9.01487 | − | 9.01487i | −0.486757 | − | 0.486757i | ||||
\(344\) | 1.73232 | + | 1.73222i | 0.0934005 | + | 0.0933948i | ||||
\(345\) | −7.22896 | − | 18.9565i | −0.389194 | − | 1.02058i | ||||
\(346\) | −9.85927 | − | 2.64168i | −0.530038 | − | 0.142017i | ||||
\(347\) | 13.4846 | − | 13.4846i | 0.723889 | − | 0.723889i | −0.245506 | − | 0.969395i | \(-0.578954\pi\) |
0.969395 | + | 0.245506i | \(0.0789541\pi\) | |||||||
\(348\) | 5.12506 | + | 19.1254i | 0.274732 | + | 1.02523i | ||||
\(349\) | 19.5025i | 1.04394i | 0.852962 | + | 0.521972i | \(0.174804\pi\) | ||||
−0.852962 | + | 0.521972i | \(0.825196\pi\) | |||||||
\(350\) | −6.17115 | + | 3.11035i | −0.329862 | + | 0.166255i | ||||
\(351\) | − | 2.10631i | − | 0.112427i | ||||||
\(352\) | 12.1578 | + | 7.01848i | 0.648011 | + | 0.374086i | ||||
\(353\) | 15.5965 | − | 15.5965i | 0.830117 | − | 0.830117i | −0.157415 | − | 0.987533i | \(-0.550316\pi\) |
0.987533 | + | 0.157415i | \(0.0503161\pi\) | |||||||
\(354\) | −4.15490 | + | 15.5069i | −0.220831 | + | 0.824184i | ||||
\(355\) | 6.14082 | + | 16.1031i | 0.325921 | + | 0.854663i | ||||
\(356\) | −17.9060 | − | 10.3376i | −0.949017 | − | 0.547890i | ||||
\(357\) | −3.49864 | − | 3.49864i | −0.185167 | − | 0.185167i | ||||
\(358\) | −15.6156 | − | 27.0463i | −0.825308 | − | 1.42944i | ||||
\(359\) | −0.969375 | −0.0511616 | −0.0255808 | − | 0.999673i | \(-0.508144\pi\) | ||||
−0.0255808 | + | 0.999673i | \(0.508144\pi\) | |||||||
\(360\) | −0.533643 | − | 1.39924i | −0.0281254 | − | 0.0737467i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −16.0283 | − | 27.7612i | −0.842428 | − | 1.45910i | ||||
\(363\) | 6.15923 | + | 6.15923i | 0.323275 | + | 0.323275i | ||||
\(364\) | −0.717219 | − | 0.414067i | −0.0375925 | − | 0.0217030i | ||||
\(365\) | −2.32417 | + | 5.18944i | −0.121652 | + | 0.271628i | ||||
\(366\) | 7.21640 | − | 26.9331i | 0.377207 | − | 1.40781i | ||||
\(367\) | 14.7490 | − | 14.7490i | 0.769891 | − | 0.769891i | −0.208196 | − | 0.978087i | \(-0.566759\pi\) |
0.978087 | + | 0.208196i | \(0.0667593\pi\) | |||||||
\(368\) | −5.22024 | + | 19.4853i | −0.272124 | + | 1.01574i | ||||
\(369\) | − | 2.12861i | − | 0.110811i | ||||||
\(370\) | 0.720134 | + | 6.99887i | 0.0374380 | + | 0.363854i | ||||
\(371\) | 0.964989i | 0.0500997i | ||||||||
\(372\) | −1.44888 | − | 5.40685i | −0.0751207 | − | 0.280332i | ||||
\(373\) | 9.84863 | − | 9.84863i | 0.509943 | − | 0.509943i | −0.404566 | − | 0.914509i | \(-0.632577\pi\) |
0.914509 | + | 0.404566i | \(0.132577\pi\) | |||||||
\(374\) | −9.53932 | − | 2.55595i | −0.493266 | − | 0.132165i | ||||
\(375\) | 19.1707 | − | 6.08949i | 0.989971 | − | 0.314460i | ||||
\(376\) | −20.5249 | + | 20.5261i | −1.05849 | + | 1.05855i | ||||
\(377\) | −1.64861 | − | 1.64861i | −0.0849079 | − | 0.0849079i | ||||
\(378\) | −5.95045 | + | 3.43558i | −0.306058 | + | 0.176707i | ||||
\(379\) | −30.5819 | −1.57089 | −0.785443 | − | 0.618934i | \(-0.787565\pi\) | ||||
−0.785443 | + | 0.618934i | \(0.787565\pi\) | |||||||
\(380\) | 0.709214 | − | 4.41554i | 0.0363819 | − | 0.226513i | ||||
\(381\) | 3.60709 | 0.184797 | ||||||||
\(382\) | −33.6658 | + | 19.4374i | −1.72249 | + | 0.994505i | ||||
\(383\) | 16.6482 | + | 16.6482i | 0.850683 | + | 0.850683i | 0.990217 | − | 0.139534i | \(-0.0445604\pi\) |
−0.139534 | + | 0.990217i | \(0.544560\pi\) | |||||||
\(384\) | −5.26677 | + | 19.6614i | −0.268769 | + | 1.00334i | ||||
\(385\) | −4.94949 | − | 2.21670i | −0.252249 | − | 0.112973i | ||||
\(386\) | −23.9613 | − | 6.42015i | −1.21960 | − | 0.326777i | ||||
\(387\) | 0.145018 | − | 0.145018i | 0.00737168 | − | 0.00737168i | ||||
\(388\) | 14.8482 | − | 3.97888i | 0.753803 | − | 0.201997i | ||||
\(389\) | − | 1.92974i | − | 0.0978417i | −0.998803 | − | 0.0489209i | \(-0.984422\pi\) | ||
0.998803 | − | 0.0489209i | \(-0.0155782\pi\) | |||||||
\(390\) | 1.86999 | + | 1.52107i | 0.0946906 | + | 0.0770226i | ||||
\(391\) | − | 14.1913i | − | 0.717683i | ||||||
\(392\) | −0.000515236 | − | 17.0974i | −2.60233e−5 | − | 0.863550i | ||||
\(393\) | −22.4658 | + | 22.4658i | −1.13325 | + | 1.13325i | ||||
\(394\) | 0.0259001 | − | 0.0966643i | 0.00130483 | − | 0.00486988i | ||||
\(395\) | −1.72002 | + | 0.655920i | −0.0865436 | + | 0.0330029i | ||||
\(396\) | 0.587587 | − | 1.01778i | 0.0295274 | − | 0.0511453i | ||||
\(397\) | −0.961967 | − | 0.961967i | −0.0482797 | − | 0.0482797i | 0.682555 | − | 0.730834i | \(-0.260869\pi\) |
−0.730834 | + | 0.682555i | \(0.760869\pi\) | |||||||
\(398\) | 8.37918 | + | 14.5128i | 0.420011 | + | 0.727463i | ||||
\(399\) | 1.75830 | 0.0880249 | ||||||||
\(400\) | −18.9940 | − | 6.26312i | −0.949702 | − | 0.313156i | ||||
\(401\) | 31.1787 | 1.55699 | 0.778496 | − | 0.627649i | \(-0.215983\pi\) | ||||
0.778496 | + | 0.627649i | \(0.215983\pi\) | |||||||
\(402\) | 16.3406 | + | 28.3020i | 0.814993 | + | 1.41158i | ||||
\(403\) | 0.466071 | + | 0.466071i | 0.0232166 | + | 0.0232166i | ||||
\(404\) | −14.5688 | + | 25.2350i | −0.724824 | + | 1.25549i | ||||
\(405\) | 20.1707 | − | 7.69200i | 1.00229 | − | 0.382219i | ||||
\(406\) | −1.96840 | + | 7.34646i | −0.0976900 | + | 0.364599i | ||||
\(407\) | −3.90423 | + | 3.90423i | −0.193526 | + | 0.193526i | ||||
\(408\) | −0.000431518 | − | 14.3194i | −2.13633e−5 | − | 0.708914i | ||||
\(409\) | 4.25198i | 0.210247i | 0.994459 | + | 0.105123i | \(0.0335238\pi\) | ||||
−0.994459 | + | 0.105123i | \(0.966476\pi\) | |||||||
\(410\) | −22.0534 | − | 17.9386i | −1.08914 | − | 0.885922i | ||||
\(411\) | − | 4.17156i | − | 0.205768i | ||||||
\(412\) | 18.1611 | − | 4.86663i | 0.894731 | − | 0.239762i | ||||
\(413\) | −4.36043 | + | 4.36043i | −0.214563 | + | 0.214563i | ||||
\(414\) | 1.63122 | + | 0.437065i | 0.0801699 | + | 0.0214806i | ||||
\(415\) | −2.21728 | − | 0.993044i | −0.108842 | − | 0.0487466i | ||||
\(416\) | −0.620445 | − | 2.31507i | −0.0304198 | − | 0.113506i | ||||
\(417\) | −25.8656 | − | 25.8656i | −1.26665 | − | 1.26665i | ||||
\(418\) | 3.03934 | − | 1.75480i | 0.148659 | − | 0.0858302i | ||||
\(419\) | 26.0973 | 1.27493 | 0.637467 | − | 0.770477i | \(-0.279982\pi\) | ||||
0.637467 | + | 0.770477i | \(0.279982\pi\) | |||||||
\(420\) | 1.24701 | − | 7.76383i | 0.0608477 | − | 0.378836i | ||||
\(421\) | −24.1130 | −1.17520 | −0.587599 | − | 0.809152i | \(-0.699927\pi\) | ||||
−0.587599 | + | 0.809152i | \(0.699927\pi\) | |||||||
\(422\) | 2.34003 | − | 1.35105i | 0.113911 | − | 0.0657681i | ||||
\(423\) | 1.71830 | + | 1.71830i | 0.0835468 | + | 0.0835468i | ||||
\(424\) | −1.97471 | + | 1.97483i | −0.0959005 | + | 0.0959063i | ||||
\(425\) | 14.0473 | + | 0.798116i | 0.681392 | + | 0.0387143i | ||||
\(426\) | −18.9419 | − | 5.07527i | −0.917739 | − | 0.245897i | ||||
\(427\) | 7.57337 | − | 7.57337i | 0.366501 | − | 0.366501i | ||||
\(428\) | −8.87543 | − | 33.1209i | −0.429010 | − | 1.60096i | ||||
\(429\) | 1.89166i | 0.0913303i | ||||||||
\(430\) | −0.280339 | − | 2.72457i | −0.0135191 | − | 0.131391i | ||||
\(431\) | 1.00295i | 0.0483106i | 0.999708 | + | 0.0241553i | \(0.00768962\pi\) | ||||
−0.999708 | + | 0.0241553i | \(0.992310\pi\) | |||||||
\(432\) | −19.2079 | − | 5.14592i | −0.924141 | − | 0.247583i | ||||
\(433\) | −5.47457 | + | 5.47457i | −0.263091 | + | 0.263091i | −0.826309 | − | 0.563218i | \(-0.809563\pi\) |
0.563218 | + | 0.826309i | \(0.309563\pi\) | |||||||
\(434\) | 0.556475 | − | 2.07688i | 0.0267117 | − | 0.0996933i | ||||
\(435\) | 9.04848 | − | 20.2036i | 0.433841 | − | 0.968689i | ||||
\(436\) | 18.6666 | + | 10.7766i | 0.893966 | + | 0.516107i | ||||
\(437\) | 3.56603 | + | 3.56603i | 0.170586 | + | 0.170586i | ||||
\(438\) | −3.23505 | − | 5.60314i | −0.154577 | − | 0.267728i | ||||
\(439\) | 27.5639 | 1.31555 | 0.657777 | − | 0.753213i | \(-0.271497\pi\) | ||||
0.657777 | + | 0.753213i | \(0.271497\pi\) | |||||||
\(440\) | −5.59287 | − | 14.6649i | −0.266630 | − | 0.699119i | ||||
\(441\) | −1.43132 | −0.0681582 | ||||||||
\(442\) | 0.843073 | + | 1.46021i | 0.0401009 | + | 0.0694552i | ||||
\(443\) | 24.8144 | + | 24.8144i | 1.17897 | + | 1.17897i | 0.980008 | + | 0.198960i | \(0.0637563\pi\) |
0.198960 | + | 0.980008i | \(0.436244\pi\) | |||||||
\(444\) | −6.93326 | − | 4.00273i | −0.329038 | − | 0.189961i | ||||
\(445\) | 8.23669 | + | 21.5991i | 0.390457 | + | 1.02389i | ||||
\(446\) | 2.71730 | − | 10.1415i | 0.128668 | − | 0.480214i | ||||
\(447\) | −5.09502 | + | 5.09502i | −0.240986 | + | 0.240986i | ||||
\(448\) | −5.52820 | + | 5.52887i | −0.261183 | + | 0.261215i | ||||
\(449\) | − | 17.5308i | − | 0.827330i | −0.910429 | − | 0.413665i | \(-0.864248\pi\) | ||
0.910429 | − | 0.413665i | \(-0.135752\pi\) | |||||||
\(450\) | −0.524370 | + | 1.59008i | −0.0247190 | + | 0.0749572i | ||||
\(451\) | − | 22.3090i | − | 1.05049i | ||||||
\(452\) | −3.87788 | − | 14.4713i | −0.182400 | − | 0.680671i | ||||
\(453\) | 23.6636 | − | 23.6636i | 1.11181 | − | 1.11181i | ||||
\(454\) | −33.0520 | − | 8.85590i | −1.55121 | − | 0.415628i | ||||
\(455\) | 0.329918 | + | 0.865143i | 0.0154668 | + | 0.0405586i | ||||
\(456\) | 3.59832 | + | 3.59810i | 0.168507 | + | 0.168497i | ||||
\(457\) | −13.8122 | − | 13.8122i | −0.646107 | − | 0.646107i | 0.305943 | − | 0.952050i | \(-0.401028\pi\) |
−0.952050 | + | 0.305943i | \(0.901028\pi\) | |||||||
\(458\) | 2.21055 | − | 1.27629i | 0.103292 | − | 0.0596371i | ||||
\(459\) | 13.9892 | 0.652961 | ||||||||
\(460\) | 18.2750 | − | 13.2169i | 0.852077 | − | 0.616240i | ||||
\(461\) | −20.4762 | −0.953670 | −0.476835 | − | 0.878993i | \(-0.658216\pi\) | ||||
−0.476835 | + | 0.878993i | \(0.658216\pi\) | |||||||
\(462\) | 5.34406 | − | 3.08546i | 0.248628 | − | 0.143549i | ||||
\(463\) | 28.9404 | + | 28.9404i | 1.34497 | + | 1.34497i | 0.891032 | + | 0.453941i | \(0.149982\pi\) |
0.453941 | + | 0.891032i | \(0.350018\pi\) | |||||||
\(464\) | −19.0618 | + | 11.0063i | −0.884921 | + | 0.510957i | ||||
\(465\) | −2.55805 | + | 5.71165i | −0.118627 | + | 0.264871i | ||||
\(466\) | 18.2894 | + | 4.90043i | 0.847239 | + | 0.227008i | ||||
\(467\) | −0.271431 | + | 0.271431i | −0.0125603 | + | 0.0125603i | −0.713359 | − | 0.700799i | \(-0.752827\pi\) |
0.700799 | + | 0.713359i | \(0.252827\pi\) | |||||||
\(468\) | −0.193809 | + | 0.0519351i | −0.00895883 | + | 0.00240070i | ||||
\(469\) | 12.5532i | 0.579651i | ||||||||
\(470\) | 32.2832 | − | 3.32171i | 1.48911 | − | 0.153219i | ||||
\(471\) | − | 9.84876i | − | 0.453807i | ||||||
\(472\) | −17.8465 | 0.000537811i | −0.821454 | 2.47547e-5i | ||||||
\(473\) | 1.51987 | − | 1.51987i | 0.0698836 | − | 0.0698836i | ||||
\(474\) | 0.542105 | − | 2.02324i | 0.0248997 | − | 0.0929307i | ||||
\(475\) | −3.73039 | + | 3.32929i | −0.171162 | + | 0.152758i | ||||
\(476\) | 2.75006 | − | 4.76346i | 0.126049 | − | 0.218333i | ||||
\(477\) | 0.165319 | + | 0.165319i | 0.00756945 | + | 0.00756945i | ||||
\(478\) | 10.1399 | + | 17.5625i | 0.463790 | + | 0.803290i | ||||
\(479\) | −2.06918 | −0.0945434 | −0.0472717 | − | 0.998882i | \(-0.515053\pi\) | ||||
−0.0472717 | + | 0.998882i | \(0.515053\pi\) | |||||||
\(480\) | 18.4396 | − | 13.3367i | 0.841647 | − | 0.608735i | ||||
\(481\) | 0.942683 | 0.0429826 | ||||||||
\(482\) | −7.74778 | − | 13.4192i | −0.352902 | − | 0.611229i | ||||
\(483\) | 6.27013 | + | 6.27013i | 0.285301 | + | 0.285301i | ||||
\(484\) | −4.84138 | + | 8.38590i | −0.220063 | + | 0.381177i | ||||
\(485\) | −15.6852 | − | 7.02486i | −0.712230 | − | 0.318983i | ||||
\(486\) | −0.898604 | + | 3.35377i | −0.0407615 | + | 0.152130i | ||||
\(487\) | −3.83141 | + | 3.83141i | −0.173618 | + | 0.173618i | −0.788567 | − | 0.614949i | \(-0.789177\pi\) |
0.614949 | + | 0.788567i | \(0.289177\pi\) | |||||||
\(488\) | 30.9966 | 0.000934091i | 1.40315 | 4.22843e-5i | ||||||
\(489\) | − | 14.3921i | − | 0.650833i | ||||||
\(490\) | −12.0622 | + | 14.8292i | −0.544917 | + | 0.669914i | ||||
\(491\) | 7.97842i | 0.360061i | 0.983661 | + | 0.180030i | \(0.0576196\pi\) | ||||
−0.983661 | + | 0.180030i | \(0.942380\pi\) | |||||||
\(492\) | 31.2445 | − | 8.37261i | 1.40861 | − | 0.377466i | ||||
\(493\) | 10.9494 | − | 10.9494i | 0.493135 | − | 0.493135i | ||||
\(494\) | −0.578776 | − | 0.155076i | −0.0260404 | − | 0.00697722i | ||||
\(495\) | −1.22769 | + | 0.468174i | −0.0551806 | + | 0.0210428i | ||||
\(496\) | 5.38885 | − | 3.11154i | 0.241967 | − | 0.139712i | ||||
\(497\) | −5.32632 | − | 5.32632i | −0.238918 | − | 0.238918i | ||||
\(498\) | 2.39405 | − | 1.38224i | 0.107280 | − | 0.0619394i | ||||
\(499\) | −23.9622 | −1.07270 | −0.536349 | − | 0.843996i | \(-0.680197\pi\) | ||||
−0.536349 | + | 0.843996i | \(0.680197\pi\) | |||||||
\(500\) | 12.0550 | + | 18.8329i | 0.539115 | + | 0.842232i | ||||
\(501\) | 18.7570 | 0.838002 | ||||||||
\(502\) | −37.9840 | + | 21.9306i | −1.69531 | + | 0.978808i | ||||
\(503\) | −11.9399 | − | 11.9399i | −0.532373 | − | 0.532373i | 0.388905 | − | 0.921278i | \(-0.372853\pi\) |
−0.921278 | + | 0.388905i | \(0.872853\pi\) | |||||||
\(504\) | 0.462839 | + | 0.462811i | 0.0206165 | + | 0.0206153i | ||||
\(505\) | 30.4397 | − | 11.6080i | 1.35455 | − | 0.516550i | ||||
\(506\) | 17.0960 | + | 4.58068i | 0.760011 | + | 0.203636i | ||||
\(507\) | −16.3097 | + | 16.3097i | −0.724340 | + | 0.724340i | ||||
\(508\) | 1.03791 | + | 3.87322i | 0.0460498 | + | 0.171846i | ||||
\(509\) | 23.3369i | 1.03439i | 0.855868 | + | 0.517195i | \(0.173024\pi\) | ||||
−0.855868 | + | 0.517195i | \(0.826976\pi\) | |||||||
\(510\) | −10.1023 | + | 12.4197i | −0.447338 | + | 0.549952i | ||||
\(511\) | − | 2.48523i | − | 0.109940i | ||||||
\(512\) | −22.6274 | + | 0.00204565i | −1.00000 | + | 9.04058e-5i | ||||
\(513\) | −3.51525 | + | 3.51525i | −0.155202 | + | 0.155202i | ||||
\(514\) | 5.93688 | − | 22.1576i | 0.261864 | − | 0.977331i | ||||
\(515\) | −19.1849 | − | 8.59222i | −0.845386 | − | 0.378619i | ||||
\(516\) | 2.69903 | + | 1.55821i | 0.118818 | + | 0.0685965i | ||||
\(517\) | 18.0088 | + | 18.0088i | 0.792025 | + | 0.792025i | ||||
\(518\) | −1.53760 | − | 2.66313i | −0.0675581 | − | 0.117011i | ||||
\(519\) | −12.9850 | −0.569978 | ||||||||
\(520\) | −1.09522 | + | 2.44563i | −0.0480287 | + | 0.107248i | ||||
\(521\) | 28.6568 | 1.25548 | 0.627739 | − | 0.778424i | \(-0.283981\pi\) | ||||
0.627739 | + | 0.778424i | \(0.283981\pi\) | |||||||
\(522\) | 0.921356 | + | 1.59580i | 0.0403266 | + | 0.0698462i | ||||
\(523\) | 17.5067 | + | 17.5067i | 0.765515 | + | 0.765515i | 0.977313 | − | 0.211798i | \(-0.0679319\pi\) |
−0.211798 | + | 0.977313i | \(0.567932\pi\) | |||||||
\(524\) | −30.5876 | − | 17.6590i | −1.33623 | − | 0.771435i | ||||
\(525\) | −6.55914 | + | 5.85388i | −0.286264 | + | 0.255484i | ||||
\(526\) | 3.58057 | − | 13.3634i | 0.156120 | − | 0.582673i | ||||
\(527\) | −3.09544 | + | 3.09544i | −0.134839 | + | 0.134839i | ||||
\(528\) | 17.2505 | + | 4.62151i | 0.750731 | + | 0.201125i | ||||
\(529\) | 2.43310i | 0.105787i | ||||||||
\(530\) | 3.10599 | − | 0.319584i | 0.134916 | − | 0.0138819i | ||||
\(531\) | 1.49404i | 0.0648356i | ||||||||
\(532\) | 0.505934 | + | 1.88802i | 0.0219350 | + | 0.0818561i | ||||
\(533\) | −2.69328 | + | 2.69328i | −0.116659 | + | 0.116659i | ||||
\(534\) | −25.4068 | − | 6.80746i | −1.09946 | − | 0.294588i | ||||
\(535\) | −15.6699 | + | 34.9880i | −0.677469 | + | 1.51266i | ||||
\(536\) | −25.6882 | + | 25.6898i | −1.10956 | + | 1.10963i | ||||
\(537\) | −28.0935 | − | 28.0935i | −1.21233 | − | 1.21233i | ||||
\(538\) | −8.94196 | + | 5.16276i | −0.385515 | + | 0.222583i | ||||
\(539\) | −15.0010 | −0.646141 | ||||||||
\(540\) | 13.0287 | + | 18.0148i | 0.560665 | + | 0.775234i | ||||
\(541\) | −25.5607 | −1.09894 | −0.549470 | − | 0.835513i | \(-0.685170\pi\) | ||||
−0.549470 | + | 0.835513i | \(0.685170\pi\) | |||||||
\(542\) | 10.2364 | − | 5.91012i | 0.439691 | − | 0.253861i | ||||
\(543\) | −28.8361 | − | 28.8361i | −1.23748 | − | 1.23748i | ||||
\(544\) | 15.3757 | − | 4.12073i | 0.659227 | − | 0.176675i | ||||
\(545\) | −8.58653 | − | 22.5165i | −0.367807 | − | 0.964500i | ||||
\(546\) | −1.01766 | − | 0.272670i | −0.0435519 | − | 0.0116692i | ||||
\(547\) | −19.9090 | + | 19.9090i | −0.851245 | + | 0.851245i | −0.990287 | − | 0.139041i | \(-0.955598\pi\) |
0.139041 | + | 0.990287i | \(0.455598\pi\) | |||||||
\(548\) | 4.47933 | − | 1.20033i | 0.191348 | − | 0.0512755i | ||||
\(549\) | − | 2.59490i | − | 0.110748i | ||||||
\(550\) | −5.49568 | + | 16.6649i | −0.234337 | + | 0.710595i | ||||
\(551\) | 5.50279i | 0.234427i | ||||||||
\(552\) | 0.000773351 | 25.6627i | 3.29160e−5 | 1.09227i | ||||||
\(553\) | 0.568921 | − | 0.568921i | 0.0241930 | − | 0.0241930i | ||||
\(554\) | −10.3796 | + | 38.7386i | −0.440985 | + | 1.64584i | ||||
\(555\) | 3.18927 | + | 8.36322i | 0.135377 | + | 0.354999i | ||||
\(556\) | 20.3314 | − | 35.2166i | 0.862242 | − | 1.49352i | ||||
\(557\) | 23.1882 | + | 23.1882i | 0.982517 | + | 0.982517i | 0.999850 | − | 0.0173329i | \(-0.00551751\pi\) |
−0.0173329 | + | 0.999850i | \(0.505518\pi\) | |||||||
\(558\) | −0.260471 | − | 0.451139i | −0.0110266 | − | 0.0190982i | ||||
\(559\) | −0.366975 | −0.0155214 | ||||||||
\(560\) | 8.69545 | − | 0.894964i | 0.367450 | − | 0.0378192i | ||||
\(561\) | −12.5636 | −0.530436 | ||||||||
\(562\) | 7.54068 | + | 13.0605i | 0.318084 | + | 0.550925i | ||||
\(563\) | 28.9631 | + | 28.9631i | 1.22065 | + | 1.22065i | 0.967402 | + | 0.253245i | \(0.0814978\pi\) |
0.253245 | + | 0.967402i | \(0.418502\pi\) | |||||||
\(564\) | −18.4631 | + | 31.9805i | −0.777437 | + | 1.34662i | ||||
\(565\) | −6.84654 | + | 15.2871i | −0.288036 | + | 0.643132i | ||||
\(566\) | −0.0792462 | + | 0.295763i | −0.00333097 | + | 0.0124318i | ||||
\(567\) | −6.67176 | + | 6.67176i | −0.280188 | + | 0.280188i | ||||
\(568\) | −0.000656942 | − | 21.7998i | −2.75647e−5 | − | 0.914698i | ||||
\(569\) | 28.7179i | 1.20392i | 0.798528 | + | 0.601958i | \(0.205612\pi\) | ||||
−0.798528 | + | 0.601958i | \(0.794388\pi\) | |||||||
\(570\) | −0.582311 | − | 5.65939i | −0.0243903 | − | 0.237046i | ||||
\(571\) | − | 22.1834i | − | 0.928346i | −0.885744 | − | 0.464173i | \(-0.846352\pi\) | ||
0.885744 | − | 0.464173i | \(-0.153648\pi\) | |||||||
\(572\) | −2.03123 | + | 0.544309i | −0.0849298 | + | 0.0227587i | ||||
\(573\) | −34.9694 | + | 34.9694i | −1.46087 | + | 1.46087i | ||||
\(574\) | 12.0016 | + | 3.21570i | 0.500938 | + | 0.134221i | ||||
\(575\) | −25.1750 | − | 1.43036i | −1.04987 | − | 0.0596499i | ||||
\(576\) | 0.000114169 | 1.89427i | 4.75703e−6 | 0.0789279i | ||||||
\(577\) | 26.4141 | + | 26.4141i | 1.09963 | + | 1.09963i | 0.994453 | + | 0.105178i | \(0.0335413\pi\) |
0.105178 | + | 0.994453i | \(0.466459\pi\) | |||||||
\(578\) | 11.1225 | − | 6.42170i | 0.462633 | − | 0.267107i | ||||
\(579\) | −31.5578 | −1.31150 | ||||||||
\(580\) | 24.2978 | + | 3.90265i | 1.00891 | + | 0.162049i | ||||
\(581\) | 1.06186 | 0.0440534 | ||||||||
\(582\) | 16.9357 | − | 9.77803i | 0.702006 | − | 0.405313i | ||||
\(583\) | 1.73264 | + | 1.73264i | 0.0717585 | + | 0.0717585i | ||||
\(584\) | 5.08567 | − | 5.08598i | 0.210447 | − | 0.210459i | ||||
\(585\) | 0.204735 | + | 0.0916935i | 0.00846474 | + | 0.00379106i | ||||
\(586\) | 27.3229 | + | 7.32087i | 1.12870 | + | 0.302422i | ||||
\(587\) | 10.1922 | − | 10.1922i | 0.420676 | − | 0.420676i | −0.464760 | − | 0.885436i | \(-0.653860\pi\) |
0.885436 | + | 0.464760i | \(0.153860\pi\) | |||||||
\(588\) | −5.62991 | − | 21.0094i | −0.232173 | − | 0.866414i | ||||
\(589\) | − | 1.55566i | − | 0.0641000i | ||||||
\(590\) | 15.4789 | + | 12.5908i | 0.637257 | + | 0.518353i | ||||
\(591\) | − | 0.127310i | − | 0.00523684i | ||||||
\(592\) | 2.30306 | − | 8.59653i | 0.0946553 | − | 0.353315i | ||||
\(593\) | −22.1089 | + | 22.1089i | −0.907903 | + | 0.907903i | −0.996103 | − | 0.0881994i | \(-0.971889\pi\) |
0.0881994 | + | 0.996103i | \(0.471889\pi\) | |||||||
\(594\) | −4.51546 | + | 16.8526i | −0.185272 | + | 0.691471i | ||||
\(595\) | −5.74591 | + | 2.19117i | −0.235559 | + | 0.0898293i | ||||
\(596\) | −6.93697 | − | 4.00487i | −0.284149 | − | 0.164046i | ||||
\(597\) | 15.0748 | + | 15.0748i | 0.616970 | + | 0.616970i | ||||
\(598\) | −1.51093 | − | 2.61694i | −0.0617864 | − | 0.107015i | ||||
\(599\) | −27.0682 | −1.10598 | −0.552988 | − | 0.833189i | \(-0.686512\pi\) | ||||
−0.552988 | + | 0.833189i | \(0.686512\pi\) | |||||||
\(600\) | −25.4023 | − | 1.44250i | −1.03704 | − | 0.0588898i | ||||
\(601\) | 2.99835 | 0.122305 | 0.0611527 | − | 0.998128i | \(-0.480522\pi\) | ||||
0.0611527 | + | 0.998128i | \(0.480522\pi\) | |||||||
\(602\) | 0.598567 | + | 1.03673i | 0.0243958 | + | 0.0422538i | ||||
\(603\) | 2.15057 | + | 2.15057i | 0.0875781 | + | 0.0875781i | ||||
\(604\) | 32.2184 | + | 18.6004i | 1.31095 | + | 0.756841i | ||||
\(605\) | 10.1155 | − | 3.85748i | 0.411252 | − | 0.156829i | ||||
\(606\) | −9.59379 | + | 35.8059i | −0.389721 | + | 1.45452i | ||||
\(607\) | −12.4030 | + | 12.4030i | −0.503421 | + | 0.503421i | −0.912499 | − | 0.409078i | \(-0.865850\pi\) |
0.409078 | + | 0.912499i | \(0.365850\pi\) | |||||||
\(608\) | −2.82818 | + | 4.89912i | −0.114698 | + | 0.198686i | ||||
\(609\) | 9.67554i | 0.392073i | ||||||||
\(610\) | −26.8844 | − | 21.8681i | −1.08852 | − | 0.885414i | ||||
\(611\) | − | 4.34825i | − | 0.175911i | ||||||
\(612\) | −0.344931 | − | 1.28720i | −0.0139430 | − | 0.0520318i | ||||
\(613\) | −33.4675 | + | 33.4675i | −1.35174 | + | 1.35174i | −0.468026 | + | 0.883715i | \(0.655034\pi\) |
−0.883715 | + | 0.468026i | \(0.844966\pi\) | |||||||
\(614\) | 6.11023 | + | 1.63716i | 0.246589 | + | 0.0660706i | ||||
\(615\) | −33.0058 | − | 14.7822i | −1.33092 | − | 0.596074i | ||||
\(616\) | 4.85081 | + | 4.85052i | 0.195445 | + | 0.195433i | ||||
\(617\) | 11.4592 | + | 11.4592i | 0.461329 | + | 0.461329i | 0.899091 | − | 0.437762i | \(-0.144229\pi\) |
−0.437762 | + | 0.899091i | \(0.644229\pi\) | |||||||
\(618\) | 20.7143 | − | 11.9597i | 0.833250 | − | 0.481088i | ||||
\(619\) | 21.9269 | 0.881318 | 0.440659 | − | 0.897675i | \(-0.354745\pi\) | ||||
0.440659 | + | 0.897675i | \(0.354745\pi\) | |||||||
\(620\) | −6.86910 | − | 1.10330i | −0.275870 | − | 0.0443095i | ||||
\(621\) | −25.0710 | −1.00606 | ||||||||
\(622\) | −11.0449 | + | 6.37691i | −0.442859 | + | 0.255691i | ||||
\(623\) | −7.14420 | − | 7.14420i | −0.286226 | − | 0.286226i | ||||
\(624\) | −1.52464 | − | 2.64051i | −0.0610345 | − | 0.105705i | ||||
\(625\) | 2.83168 | − | 24.8391i | 0.113267 | − | 0.993565i | ||||
\(626\) | 45.6274 | + | 12.2253i | 1.82364 | + | 0.488623i | ||||
\(627\) | 3.15702 | − | 3.15702i | 0.126079 | − | 0.126079i | ||||
\(628\) | 10.5754 | − | 2.83389i | 0.422004 | − | 0.113085i | ||||
\(629\) | 6.26089i | 0.249638i | ||||||||
\(630\) | −0.0749006 | − | 0.727948i | −0.00298411 | − | 0.0290021i | ||||
\(631\) | − | 8.55264i | − | 0.340475i | −0.985403 | − | 0.170238i | \(-0.945546\pi\) | ||
0.985403 | − | 0.170238i | \(-0.0544535\pi\) | |||||||
\(632\) | 2.32850 | 7.01700e-5i | 0.0926228 | 2.79121e-6i | ||||||
\(633\) | 2.43064 | − | 2.43064i | 0.0966093 | − | 0.0966093i | ||||
\(634\) | 10.4656 | − | 39.0596i | 0.415640 | − | 1.55125i | ||||
\(635\) | 1.83247 | − | 4.09156i | 0.0727192 | − | 0.162369i | ||||
\(636\) | −1.77635 | + | 3.07687i | −0.0704369 | + | 0.122006i | ||||
\(637\) | 1.81101 | + | 1.81101i | 0.0717550 | + | 0.0717550i | ||||
\(638\) | 9.65631 | + | 16.7248i | 0.382297 | + | 0.662143i | ||||
\(639\) | −1.82498 | −0.0721952 | ||||||||
\(640\) | 19.6265 | + | 15.9625i | 0.775805 | + | 0.630972i | ||||
\(641\) | 1.23653 | 0.0488399 | 0.0244199 | − | 0.999702i | \(-0.492226\pi\) | ||||
0.0244199 | + | 0.999702i | \(0.492226\pi\) | |||||||
\(642\) | −21.8112 | − | 37.7773i | −0.860820 | − | 1.49095i | ||||
\(643\) | −2.39601 | − | 2.39601i | −0.0944892 | − | 0.0944892i | 0.658282 | − | 0.752771i | \(-0.271283\pi\) |
−0.752771 | + | 0.658282i | \(0.771283\pi\) | |||||||
\(644\) | −4.92856 | + | 8.53691i | −0.194212 | + | 0.336401i | ||||
\(645\) | −1.24154 | − | 3.25570i | −0.0488857 | − | 0.128193i | ||||
\(646\) | 1.02995 | − | 3.84398i | 0.0405229 | − | 0.151240i | ||||
\(647\) | 10.7242 | − | 10.7242i | 0.421611 | − | 0.421611i | −0.464147 | − | 0.885758i | \(-0.653639\pi\) |
0.885758 | + | 0.464147i | \(0.153639\pi\) | |||||||
\(648\) | −27.3064 | 0.000822887i | −1.07270 | 3.23261e-5i | ||||||
\(649\) | 15.6583i | 0.614643i | ||||||||
\(650\) | 2.67536 | − | 1.34842i | 0.104936 | − | 0.0528893i | ||||
\(651\) | − | 2.73532i | − | 0.107206i | ||||||
\(652\) | 15.4539 | − | 4.14120i | 0.605222 | − | 0.162182i | ||||
\(653\) | 30.3297 | − | 30.3297i | 1.18689 | − | 1.18689i | 0.208969 | − | 0.977922i | \(-0.432989\pi\) |
0.977922 | − | 0.208969i | \(-0.0670108\pi\) | |||||||
\(654\) | 26.4859 | + | 7.09660i | 1.03568 | + | 0.277499i | ||||
\(655\) | 14.0702 | + | 36.8962i | 0.549767 | + | 1.44166i | ||||
\(656\) | 17.9806 | + | 31.1405i | 0.702026 | + | 1.21583i | ||||
\(657\) | −0.425763 | − | 0.425763i | −0.0166106 | − | 0.0166106i | ||||
\(658\) | −12.2841 | + | 7.09237i | −0.478882 | + | 0.276489i | ||||
\(659\) | 8.59030 | 0.334631 | 0.167315 | − | 0.985903i | \(-0.446490\pi\) | ||||
0.167315 | + | 0.985903i | \(0.446490\pi\) | |||||||
\(660\) | −11.7010 | − | 16.1790i | −0.455459 | − | 0.629765i | ||||
\(661\) | 35.7451 | 1.39032 | 0.695161 | − | 0.718854i | \(-0.255333\pi\) | ||||
0.695161 | + | 0.718854i | \(0.255333\pi\) | |||||||
\(662\) | 4.02784 | − | 2.32553i | 0.156546 | − | 0.0903841i | ||||
\(663\) | 1.51675 | + | 1.51675i | 0.0589057 | + | 0.0589057i | ||||
\(664\) | 2.17308 | + | 2.17295i | 0.0843318 | + | 0.0843268i | ||||
\(665\) | 0.893246 | − | 1.99446i | 0.0346386 | − | 0.0773416i | ||||
\(666\) | −0.719658 | − | 0.192824i | −0.0278862 | − | 0.00747178i | ||||
\(667\) | −19.6231 | + | 19.6231i | −0.759810 | + | 0.759810i | ||||
\(668\) | 5.39717 | + | 20.1409i | 0.208823 | + | 0.779274i | ||||
\(669\) | − | 13.3567i | − | 0.516399i | ||||||
\(670\) | 40.4046 | − | 4.15734i | 1.56097 | − | 0.160612i | ||||
\(671\) | − | 27.1960i | − | 1.04989i | ||||||
\(672\) | −4.97278 | + | 8.61411i | −0.191829 | + | 0.332296i | ||||
\(673\) | 12.6420 | − | 12.6420i | 0.487314 | − | 0.487314i | −0.420144 | − | 0.907458i | \(-0.638020\pi\) |
0.907458 | + | 0.420144i | \(0.138020\pi\) | |||||||
\(674\) | −6.11431 | + | 22.8198i | −0.235514 | + | 0.878987i | ||||
\(675\) | 1.40999 | − | 24.8166i | 0.0542705 | − | 0.955191i | ||||
\(676\) | −22.2060 | − | 12.8200i | −0.854076 | − | 0.493078i | ||||
\(677\) | 27.3948 | + | 27.3948i | 1.05287 | + | 1.05287i | 0.998522 | + | 0.0543454i | \(0.0173072\pi\) |
0.0543454 | + | 0.998522i | \(0.482693\pi\) | |||||||
\(678\) | −9.52982 | − | 16.5057i | −0.365990 | − | 0.633899i | ||||
\(679\) | 7.51169 | 0.288272 | ||||||||
\(680\) | −16.2428 | − | 7.27400i | −0.622884 | − | 0.278945i | ||||
\(681\) | −43.5306 | −1.66810 | ||||||||
\(682\) | −2.72988 | − | 4.72819i | −0.104533 | − | 0.181052i | ||||
\(683\) | 7.17226 | + | 7.17226i | 0.274439 | + | 0.274439i | 0.830884 | − | 0.556445i | \(-0.187835\pi\) |
−0.556445 | + | 0.830884i | \(0.687835\pi\) | |||||||
\(684\) | 0.410126 | + | 0.236775i | 0.0156816 | + | 0.00905333i | ||||
\(685\) | −4.73185 | − | 2.11923i | −0.180795 | − | 0.0809715i | ||||
\(686\) | 4.66627 | − | 17.4154i | 0.178159 | − | 0.664925i | ||||
\(687\) | 2.29614 | − | 2.29614i | 0.0876033 | − | 0.0876033i | ||||
\(688\) | −0.896554 | + | 3.34652i | −0.0341808 | + | 0.127585i | ||||
\(689\) | − | 0.418348i | − | 0.0159378i | ||||||
\(690\) | 18.1050 | − | 22.2581i | 0.689246 | − | 0.847351i | ||||
\(691\) | − | 28.5788i | − | 1.08719i | −0.839348 | − | 0.543594i | \(-0.817063\pi\) | ||
0.839348 | − | 0.543594i | \(-0.182937\pi\) | |||||||
\(692\) | −3.73632 | − | 13.9430i | −0.142033 | − | 0.530033i | ||||
\(693\) | 0.406076 | − | 0.406076i | 0.0154256 | − | 0.0154256i | ||||
\(694\) | 26.0502 | + | 6.97986i | 0.988853 | + | 0.264952i | ||||
\(695\) | −42.4799 | + | 16.1995i | −1.61135 | + | 0.614481i | ||||
\(696\) | −19.7996 | + | 19.8008i | −0.750503 | + | 0.750548i | ||||
\(697\) | −17.8876 | − | 17.8876i | −0.677540 | − | 0.677540i | ||||
\(698\) | −23.8854 | + | 13.7906i | −0.904077 | + | 0.521981i | ||||
\(699\) | 24.0877 | 0.911082 | ||||||||
\(700\) | −8.17310 | − | 5.35866i | −0.308914 | − | 0.202538i | ||||
\(701\) | −27.2769 | −1.03023 | −0.515117 | − | 0.857120i | \(-0.672251\pi\) | ||||
−0.515117 | + | 0.857120i | \(0.672251\pi\) | |||||||
\(702\) | 2.57968 | − | 1.48941i | 0.0973637 | − | 0.0562143i | ||||
\(703\) | −1.57326 | − | 1.57326i | −0.0593365 | − | 0.0593365i | ||||
\(704\) | 0.00119655 | + | 19.8530i | 4.50967e−5 | + | 0.748237i | ||||
\(705\) | 38.5764 | − | 14.7109i | 1.45287 | − | 0.554045i | ||||
\(706\) | 30.1302 | + | 8.07303i | 1.13396 | + | 0.303833i | ||||
\(707\) | −10.0684 | + | 10.0684i | −0.378660 | + | 0.378660i | ||||
\(708\) | −21.9299 | + | 5.87658i | −0.824178 | + | 0.220856i | ||||
\(709\) | − | 36.6344i | − | 1.37583i | −0.725789 | − | 0.687917i | \(-0.758525\pi\) | ||
0.725789 | − | 0.687917i | \(-0.241475\pi\) | |||||||
\(710\) | −15.3798 | + | 18.9077i | −0.577192 | + | 0.709593i | ||||
\(711\) | − | 0.194932i | − | 0.00731052i | ||||||
\(712\) | −0.000881157 | − | 29.2401i | −3.30228e−5 | − | 1.09582i | ||||
\(713\) | 5.54754 | − | 5.54754i | 0.207757 | − | 0.207757i | ||||
\(714\) | 1.81096 | − | 6.75886i | 0.0677734 | − | 0.252944i | ||||
\(715\) | 2.14573 | + | 0.960998i | 0.0802459 | + | 0.0359393i | ||||
\(716\) | 22.0826 | − | 38.2499i | 0.825264 | − | 1.42947i | ||||
\(717\) | 18.2425 | + | 18.2425i | 0.681280 | + | 0.681280i | ||||
\(718\) | −0.685463 | − | 1.18723i | −0.0255813 | − | 0.0443070i | ||||
\(719\) | 25.4725 | 0.949964 | 0.474982 | − | 0.879996i | \(-0.342455\pi\) | ||||
0.474982 | + | 0.879996i | \(0.342455\pi\) | |||||||
\(720\) | 1.33636 | − | 1.64300i | 0.0498031 | − | 0.0612312i | ||||
\(721\) | 9.18766 | 0.342166 | ||||||||
\(722\) | 0.707119 | + | 1.22474i | 0.0263162 | + | 0.0455800i | ||||
\(723\) | −13.9388 | − | 13.9388i | −0.518391 | − | 0.518391i | ||||
\(724\) | 22.6662 | − | 39.2609i | 0.842384 | − | 1.45912i | ||||
\(725\) | −18.3204 | − | 20.5276i | −0.680402 | − | 0.762375i | ||||
\(726\) | −3.18813 | + | 11.8987i | −0.118323 | + | 0.441604i | ||||
\(727\) | 5.51517 | − | 5.51517i | 0.204547 | − | 0.204547i | −0.597398 | − | 0.801945i | \(-0.703799\pi\) |
0.801945 | + | 0.597398i | \(0.203799\pi\) | |||||||
\(728\) | −3.52944e−5 | − | 1.17120i | −1.30810e−6 | − | 0.0434076i | ||||
\(729\) | − | 24.5458i | − | 0.909105i | ||||||
\(730\) | −7.99916 | + | 0.823057i | −0.296062 | + | 0.0304627i | ||||
\(731\) | − | 2.43729i | − | 0.0901463i | ||||||
\(732\) | 38.0888 | − | 10.2067i | 1.40780 | − | 0.377250i | ||||
\(733\) | 20.2773 | − | 20.2773i | 0.748959 | − | 0.748959i | −0.225325 | − | 0.974284i | \(-0.572344\pi\) |
0.974284 | + | 0.225325i | \(0.0723443\pi\) | |||||||
\(734\) | 28.4929 | + | 7.63435i | 1.05169 | + | 0.281789i | ||||
\(735\) | −9.93981 | + | 22.1938i | −0.366636 | + | 0.818630i | ||||
\(736\) | −27.5558 | + | 7.38503i | −1.01572 | + | 0.272216i | ||||
\(737\) | 22.5392 | + | 22.5392i | 0.830242 | + | 0.830242i | ||||
\(738\) | 2.60699 | − | 1.50518i | 0.0959647 | − | 0.0554065i | ||||
\(739\) | −37.1286 | −1.36580 | −0.682899 | − | 0.730513i | \(-0.739281\pi\) | ||||
−0.682899 | + | 0.730513i | \(0.739281\pi\) | |||||||
\(740\) | −8.06256 | + | 5.83101i | −0.296386 | + | 0.214352i | ||||
\(741\) | −0.762268 | −0.0280026 | ||||||||
\(742\) | −1.18186 | + | 0.682362i | −0.0433874 | + | 0.0250503i | ||||
\(743\) | −33.2064 | − | 33.2064i | −1.21822 | − | 1.21822i | −0.968254 | − | 0.249970i | \(-0.919579\pi\) |
−0.249970 | − | 0.968254i | \(-0.580421\pi\) | |||||||
\(744\) | 5.59744 | − | 5.59778i | 0.205212 | − | 0.205225i | ||||
\(745\) | 3.19098 | + | 8.36770i | 0.116908 | + | 0.306569i | ||||
\(746\) | 19.0261 | + | 5.09783i | 0.696596 | + | 0.186645i | ||||
\(747\) | 0.181915 | − | 0.181915i | 0.00665593 | − | 0.00665593i | ||||
\(748\) | −3.61507 | − | 13.4905i | −0.132180 | − | 0.493262i | ||||
\(749\) | − | 16.7558i | − | 0.612244i | ||||||
\(750\) | 21.0140 | + | 19.1731i | 0.767323 | + | 0.700102i | ||||
\(751\) | 40.6688i | 1.48403i | 0.670385 | + | 0.742013i | \(0.266129\pi\) | ||||
−0.670385 | + | 0.742013i | \(0.733871\pi\) | |||||||
\(752\) | −39.6526 | − | 10.6232i | −1.44598 | − | 0.387387i | ||||
\(753\) | −39.4547 | + | 39.4547i | −1.43781 | + | 1.43781i | ||||
\(754\) | 0.853353 | − | 3.18489i | 0.0310773 | − | 0.115987i | ||||
\(755\) | −14.8203 | − | 38.8633i | −0.539367 | − | 1.41438i | ||||
\(756\) | −8.41536 | − | 4.85838i | −0.306064 | − | 0.176698i | ||||
\(757\) | −17.2071 | − | 17.2071i | −0.625401 | − | 0.625401i | 0.321506 | − | 0.946907i | \(-0.395811\pi\) |
−0.946907 | + | 0.321506i | \(0.895811\pi\) | |||||||
\(758\) | −21.6250 | − | 37.4548i | −0.785457 | − | 1.36042i | ||||
\(759\) | 22.5161 | 0.817281 | ||||||||
\(760\) | 5.90938 | − | 2.25371i | 0.214356 | − | 0.0817508i | ||||
\(761\) | 25.4641 | 0.923073 | 0.461537 | − | 0.887121i | \(-0.347298\pi\) | ||||
0.461537 | + | 0.887121i | \(0.347298\pi\) | |||||||
\(762\) | 2.55064 | + | 4.41774i | 0.0924001 | + | 0.160038i | ||||
\(763\) | 7.44764 | + | 7.44764i | 0.269623 | + | 0.269623i | ||||
\(764\) | −47.6115 | − | 27.4872i | −1.72252 | − | 0.994453i | ||||
\(765\) | −0.608988 | + | 1.35976i | −0.0220180 | + | 0.0491622i | ||||
\(766\) | −8.61742 | + | 32.1619i | −0.311360 | + | 1.16206i | ||||
\(767\) | 1.89036 | − | 1.89036i | 0.0682570 | − | 0.0682570i | ||||
\(768\) | −27.8043 | + | 7.45252i | −1.00330 | + | 0.268920i | ||||
\(769\) | − | 14.3062i | − | 0.515897i | −0.966159 | − | 0.257948i | \(-0.916954\pi\) | ||
0.966159 | − | 0.257948i | \(-0.0830464\pi\) | |||||||
\(770\) | −0.785000 | − | 7.62929i | −0.0282894 | − | 0.274941i | ||||
\(771\) |