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 | 267.21 | ||
Character | \(\chi\) | \(=\) | 380.267 |
Dual form | 380.2.k.c.343.21 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.22474 | + | 0.707119i | 0.866020 | + | 0.500009i | ||||
\(3\) | −1.27216 | − | 1.27216i | −0.734482 | − | 0.734482i | 0.237022 | − | 0.971504i | \(-0.423829\pi\) |
−0.971504 | + | 0.237022i | \(0.923829\pi\) | |||||||
\(4\) | 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 | −0.564342 | − | 0.825541i | \(-0.690870\pi\) |
0.825541 | + | 0.564342i | \(0.190870\pi\) | |||||||
\(8\) | −8.52354e−5 | 2.82843i | −3.01353e−5 | 1.00000i | ||||||
\(9\) | 0.236784i | 0.0789279i | ||||||||
\(10\) | 3.12224 | + | 0.501584i | 0.987341 | + | 0.158615i | ||||
\(11\) | − | 2.48162i | − | 0.748237i | −0.927381 | − | 0.374119i | \(-0.877945\pi\) | ||
0.927381 | − | 0.374119i | \(-0.122055\pi\) | |||||||
\(12\) | 0.931356 | − | 3.47559i | 0.268859 | − | 1.00332i | ||||
\(13\) | 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 | \(0.639151\pi\) | |||||||
\(18\) | −0.167434 | + | 0.289998i | −0.0394646 | + | 0.0683531i | ||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | 3.46925 | + | 2.82211i | 0.775748 | + | 0.631042i | ||||
\(21\) | −1.75830 | −0.383692 | ||||||||
\(22\) | 1.75480 | − | 3.03934i | 0.374125 | − | 0.647989i | ||||
\(23\) | 3.56603 | + | 3.56603i | 0.743568 | + | 0.743568i | 0.973263 | − | 0.229695i | \(-0.0737727\pi\) |
−0.229695 | + | 0.973263i | \(0.573773\pi\) | |||||||
\(24\) | 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 | ||||
\(28\) | 1.88802 | + | 0.505934i | 0.356802 | + | 0.0956126i | ||||
\(29\) | − | 5.50279i | − | 1.02184i | −0.859627 | − | 0.510921i | \(-0.829304\pi\) | ||
0.859627 | − | 0.510921i | \(-0.170696\pi\) | |||||||
\(30\) | −3.33390 | − | 4.61009i | −0.608684 | − | 0.841684i | ||||
\(31\) | − | 1.55566i | − | 0.279405i | −0.990193 | − | 0.139703i | \(-0.955385\pi\) | ||
0.990193 | − | 0.139703i | \(-0.0446147\pi\) | |||||||
\(32\) | −4.89912 | + | 2.82818i | −0.866051 | + | 0.499957i | ||||
\(33\) | −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 | \(0.691456\pi\) | |||||||
\(38\) | 1.22474 | + | 0.707119i | 0.198679 | + | 0.114710i | ||||
\(39\) | −0.762268 | −0.122061 | ||||||||
\(40\) | 2.25336 | + | 5.90952i | 0.356287 | + | 0.934377i | ||||
\(41\) | −8.98970 | −1.40395 | −0.701977 | − | 0.712199i | \(-0.747699\pi\) | ||||
−0.701977 | + | 0.712199i | \(0.747699\pi\) | |||||||
\(42\) | −2.15345 | − | 1.24333i | −0.332285 | − | 0.191849i | ||||
\(43\) | 0.612449 | + | 0.612449i | 0.0933977 | + | 0.0933977i | 0.752262 | − | 0.658864i | \(-0.228963\pi\) |
−0.658864 | + | 0.752262i | \(0.728963\pi\) | |||||||
\(44\) | 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 | \(0.519219\pi\) |
−0.998178 | + | 0.0603431i | \(0.980781\pi\) | |||||||
\(48\) | 6.95129 | − | 1.86229i | 1.00333 | − | 0.268799i | ||||
\(49\) | 6.04485i | 0.863550i | ||||||||
\(50\) | 6.92296 | − | 1.43967i | 0.979054 | − | 0.203600i | ||||
\(51\) | − | 5.06266i | − | 0.708914i | ||||||
\(52\) | 0.818507 | + | 0.219336i | 0.113506 | + | 0.0304164i | ||||
\(53\) | 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 | ||||
\(58\) | 3.89113 | − | 6.73948i | 0.510930 | − | 0.884937i | ||||
\(59\) | −6.30971 | −0.821454 | −0.410727 | − | 0.911758i | \(-0.634725\pi\) | ||||
−0.410727 | + | 0.911758i | \(0.634725\pi\) | |||||||
\(60\) | −0.823271 | − | 8.00362i | −0.106284 | − | 1.03326i | ||||
\(61\) | −10.9589 | −1.40315 | −0.701575 | − | 0.712596i | \(-0.747519\pi\) | ||||
−0.701575 | + | 0.712596i | \(0.747519\pi\) | |||||||
\(62\) | 1.10004 | − | 1.90528i | 0.139705 | − | 0.241971i | ||||
\(63\) | 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 | \(0.537133\pi\) |
−0.993203 | + | 0.116393i | \(0.962867\pi\) | |||||||
\(68\) | −1.45673 | + | 5.43617i | −0.176655 | + | 0.659232i | ||||
\(69\) | − | 9.07312i | − | 1.09227i | ||||||
\(70\) | 2.50431 | − | 1.81105i | 0.299322 | − | 0.216462i | ||||
\(71\) | − | 7.70738i | − | 0.914698i | −0.889287 | − | 0.457349i | \(-0.848799\pi\) | ||
0.889287 | − | 0.457349i | \(-0.151201\pi\) | |||||||
\(72\) | −0.669725 | 2.01824e-5i | −0.0789279 | 2.37851e-6i | ||||||
\(73\) | −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 | ||||
\(78\) | −0.933579 | − | 0.539014i | −0.105707 | − | 0.0610314i | ||||
\(79\) | 0.823249 | 0.0926228 | 0.0463114 | − | 0.998927i | \(-0.485253\pi\) | ||||
0.0463114 | + | 0.998927i | \(0.485253\pi\) | |||||||
\(80\) | −1.41896 | + | 8.83100i | −0.158644 | + | 0.987336i | ||||
\(81\) | 9.65428 | 1.07270 | ||||||||
\(82\) | −11.0100 | − | 6.35679i | −1.21585 | − | 0.701990i | ||||
\(83\) | 0.768276 | + | 0.768276i | 0.0843293 | + | 0.0843293i | 0.748013 | − | 0.663684i | \(-0.231008\pi\) |
−0.663684 | + | 0.748013i | \(0.731008\pi\) | |||||||
\(84\) | −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 | ||||
\(88\) | 7.01909 | 0.000211522i | 0.748237 | 2.25483e-5i | ||||||
\(89\) | 10.3379i | 1.09582i | 0.836538 | + | 0.547909i | \(0.184576\pi\) | ||||
−0.836538 | + | 0.547909i | \(0.815424\pi\) | |||||||
\(90\) | −0.118767 | + | 0.739296i | −0.0125191 | + | 0.0779287i | ||||
\(91\) | − | 0.414082i | − | 0.0434076i | ||||||
\(92\) | −2.61071 | + | 9.74252i | −0.272185 | + | 1.01573i | ||||
\(93\) | −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 | \(0.877594\pi\) | |||||||
\(98\) | −4.27443 | + | 7.40336i | −0.431783 | + | 0.747852i | ||||
\(99\) | 0.587608 | 0.0590568 | ||||||||
\(100\) | 9.49683 | + | 3.13213i | 0.949683 | + | 0.313213i | ||||
\(101\) | 14.5693 | 1.44970 | 0.724849 | − | 0.688908i | \(-0.241909\pi\) | ||||
0.724849 | + | 0.688908i | \(0.241909\pi\) | |||||||
\(102\) | 3.57990 | − | 6.20043i | 0.354463 | − | 0.613934i | ||||
\(103\) | 6.64745 | + | 6.64745i | 0.654992 | + | 0.654992i | 0.954191 | − | 0.299199i | \(-0.0967193\pi\) |
−0.299199 | + | 0.954191i | \(0.596719\pi\) | |||||||
\(104\) | 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 | \(-0.439069\pi\) |
0.981735 | − | 0.190254i | \(-0.0609312\pi\) | |||||||
\(108\) | −9.60380 | − | 2.57354i | −0.924126 | − | 0.247639i | ||||
\(109\) | − | 10.7770i | − | 1.03225i | −0.856513 | − | 0.516125i | \(-0.827374\pi\) | ||
0.856513 | − | 0.516125i | \(-0.172626\pi\) | |||||||
\(110\) | 1.24474 | − | 7.74823i | 0.118681 | − | 0.738765i | ||||
\(111\) | − | 4.00287i | − | 0.379936i | ||||||
\(112\) | 1.01164 | + | 3.77610i | 0.0955911 | + | 0.356808i | ||||
\(113\) | −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 | ||||
\(118\) | −7.72774 | − | 4.46171i | −0.711396 | − | 0.410734i | ||||
\(119\) | 2.75015 | 0.252106 | ||||||||
\(120\) | 4.65122 | − | 10.3845i | 0.424596 | − | 0.947969i | ||||
\(121\) | 4.84155 | 0.440141 | ||||||||
\(122\) | −13.4218 | − | 7.74928i | −1.21516 | − | 0.701587i | ||||
\(123\) | 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 | −0.767204 | − | 0.641403i | \(-0.778353\pi\) |
0.641403 | + | 0.767204i | \(0.278353\pi\) | |||||||
\(128\) | −9.79756 | − | 5.65754i | −0.865990 | − | 0.500061i | ||||
\(129\) | − | 1.55827i | − | 0.137198i | ||||||
\(130\) | 1.08568 | − | 0.785139i | 0.0952208 | − | 0.0688613i | ||||
\(131\) | − | 17.6596i | − | 1.54292i | −0.636275 | − | 0.771462i | \(-0.719526\pi\) | ||
0.636275 | − | 0.771462i | \(-0.280474\pi\) | |||||||
\(132\) | −8.62510 | − | 2.31127i | −0.750718 | − | 0.201171i | ||||
\(133\) | 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 | \(0.781580\pi\) | |||||||
\(138\) | 6.41577 | − | 11.1122i | 0.546147 | − | 0.945932i | ||||
\(139\) | 20.3321 | 1.72454 | 0.862272 | − | 0.506446i | \(-0.169041\pi\) | ||||
0.862272 | + | 0.506446i | \(0.169041\pi\) | |||||||
\(140\) | 4.34775 | − | 0.447220i | 0.367452 | − | 0.0377970i | ||||
\(141\) | 18.4638 | 1.55493 | ||||||||
\(142\) | 5.45004 | − | 9.43952i | 0.457357 | − | 0.792147i | ||||
\(143\) | −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 | ||||
\(148\) | −1.15179 | + | 4.29820i | −0.0946766 | + | 0.353309i | ||||
\(149\) | 4.00501i | 0.328104i | 0.986452 | + | 0.164052i | \(0.0524564\pi\) | ||||
−0.986452 | + | 0.164052i | \(0.947544\pi\) | |||||||
\(150\) | −10.6386 | − | 6.97562i | −0.868639 | − | 0.569557i | ||||
\(151\) | 18.6011i | 1.51373i | 0.653569 | + | 0.756867i | \(0.273271\pi\) | ||||
−0.653569 | + | 0.756867i | \(0.726729\pi\) | |||||||
\(152\) | −8.52354e−5 | 2.82843i | −6.91351e−6 | 0.229416i | ||||||
\(153\) | −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 | \(0.820099\pi\) | |||||||
\(158\) | 1.00826 | + | 0.582135i | 0.0802132 | + | 0.0463122i | ||||
\(159\) | −1.77641 | −0.140879 | ||||||||
\(160\) | −7.98242 | + | 9.81229i | −0.631066 | + | 0.775729i | ||||
\(161\) | 4.92873 | 0.388438 | ||||||||
\(162\) | 11.8240 | + | 6.82673i | 0.928979 | + | 0.536358i | ||||
\(163\) | 5.65655 | + | 5.65655i | 0.443056 | + | 0.443056i | 0.893038 | − | 0.449982i | \(-0.148570\pi\) |
−0.449982 | + | 0.893038i | \(0.648570\pi\) | |||||||
\(164\) | −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 | −0.932260 | − | 0.361789i | \(-0.882166\pi\) |
0.361789 | + | 0.932260i | \(0.382166\pi\) | |||||||
\(168\) | 0.000149869 | − | 4.97321i | 1.15627e−5 | − | 0.383692i | ||||
\(169\) | 12.8205i | 0.986191i | ||||||||
\(170\) | 5.21456 | + | 7.21065i | 0.399938 | + | 0.553031i | ||||
\(171\) | 0.236784i | 0.0181073i | ||||||||
\(172\) | −0.448378 | + | 1.67323i | −0.0341885 | + | 0.127583i | ||||
\(173\) | −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 | ||||
\(178\) | −7.31014 | + | 12.6612i | −0.547918 | + | 0.949000i | ||||
\(179\) | 22.0833 | 1.65059 | 0.825293 | − | 0.564705i | \(-0.191010\pi\) | ||||
0.825293 | + | 0.564705i | \(0.191010\pi\) | |||||||
\(180\) | −0.668229 | + | 0.821462i | −0.0498068 | + | 0.0612282i | ||||
\(181\) | −22.6670 | −1.68483 | −0.842414 | − | 0.538831i | \(-0.818866\pi\) | ||||
−0.842414 | + | 0.538831i | \(0.818866\pi\) | |||||||
\(182\) | 0.292805 | − | 0.507142i | 0.0217042 | − | 0.0375918i | ||||
\(183\) | 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 | ||||
\(188\) | −19.8260 | − | 5.31278i | −1.44596 | − | 0.387475i | ||||
\(189\) | 4.85855i | 0.353408i | ||||||||
\(190\) | 3.12224 | + | 0.501584i | 0.226511 | + | 0.0363887i | ||||
\(191\) | − | 27.4882i | − | 1.98898i | −0.104855 | − | 0.994488i | \(-0.533438\pi\) | ||
0.104855 | − | 0.994488i | \(-0.466562\pi\) | |||||||
\(192\) | 10.1767 | + | 10.1779i | 0.734438 | + | 0.734526i | ||||
\(193\) | −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 | \(0.750802\pi\) | |||||||
\(198\) | 0.719665 | + | 0.415509i | 0.0511444 | + | 0.0295289i | ||||
\(199\) | −11.8498 | −0.840007 | −0.420003 | − | 0.907523i | \(-0.637971\pi\) | ||||
−0.420003 | + | 0.907523i | \(0.637971\pi\) | |||||||
\(200\) | 9.41633 | + | 10.5514i | 0.665835 | + | 0.746099i | ||||
\(201\) | 23.1086 | 1.62996 | ||||||||
\(202\) | 17.8436 | + | 10.3022i | 1.25547 | + | 0.724862i | ||||
\(203\) | −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 | ||||
\(208\) | 0.438573 | + | 1.63704i | 0.0304096 | + | 0.113508i | ||||
\(209\) | − | 2.48162i | − | 0.171657i | ||||||
\(210\) | −5.48983 | − | 0.881933i | −0.378834 | − | 0.0608592i | ||||
\(211\) | 1.91064i | 0.131534i | 0.997835 | + | 0.0657669i | \(0.0209494\pi\) | ||||
−0.997835 | + | 0.0657669i | \(0.979051\pi\) | |||||||
\(212\) | 1.90747 | + | 0.511147i | 0.131006 | + | 0.0351057i | ||||
\(213\) | −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 | ||||
\(218\) | 7.62063 | − | 13.1990i | 0.516134 | − | 0.893950i | ||||
\(219\) | 4.57497 | 0.309148 | ||||||||
\(220\) | 7.00341 | − | 8.60937i | 0.472170 | − | 0.580444i | ||||
\(221\) | 1.19226 | 0.0802004 | ||||||||
\(222\) | 2.83051 | − | 4.90247i | 0.189971 | − | 0.329032i | ||||
\(223\) | 5.24961 | + | 5.24961i | 0.351540 | + | 0.351540i | 0.860682 | − | 0.509142i | \(-0.170037\pi\) |
−0.509142 | + | 0.860682i | \(0.670037\pi\) | |||||||
\(224\) | −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 | \(-0.453257\pi\) |
0.989237 | − | 0.146322i | \(-0.0467435\pi\) | |||||||
\(228\) | 0.931356 | − | 3.47559i | 0.0616805 | − | 0.230176i | ||||
\(229\) | − | 1.80492i | − | 0.119272i | −0.998220 | − | 0.0596361i | \(-0.981006\pi\) | ||
0.998220 | − | 0.0596361i | \(-0.0189940\pi\) | |||||||
\(230\) | 9.34535 | + | 12.9227i | 0.616214 | + | 0.852096i | ||||
\(231\) | 4.36343i | 0.287093i | ||||||||
\(232\) | 15.5642 | 0.000469033i | 1.02184 | 3.07935e-5i | ||||||
\(233\) | 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 | ||||
\(238\) | 3.36822 | + | 1.94469i | 0.218329 | + | 0.126055i | ||||
\(239\) | −14.3398 | −0.927565 | −0.463782 | − | 0.885949i | \(-0.653508\pi\) | ||||
−0.463782 | + | 0.885949i | \(0.653508\pi\) | |||||||
\(240\) | 13.0396 | − | 9.42930i | 0.841702 | − | 0.608659i | ||||
\(241\) | −10.9568 | −0.705791 | −0.352895 | − | 0.935663i | \(-0.614803\pi\) | ||||
−0.352895 | + | 0.935663i | \(0.614803\pi\) | |||||||
\(242\) | 5.92963 | + | 3.42355i | 0.381171 | + | 0.220074i | ||||
\(243\) | −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 | ||||
\(248\) | 4.40008 | 0.000132598i | 0.279405 | 8.41996e-6i | ||||||
\(249\) | − | 1.95474i | − | 0.123877i | ||||||
\(250\) | 13.3171 | − | 8.52375i | 0.842249 | − | 0.539089i | ||||
\(251\) | − | 31.0139i | − | 1.95758i | −0.204859 | − | 0.978791i | \(-0.565674\pi\) | ||
0.204859 | − | 0.978791i | \(-0.434326\pi\) | |||||||
\(252\) | −0.119797 | + | 0.447052i | −0.00754650 | + | 0.0281617i | ||||
\(253\) | 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 | \(0.918840\pi\) | |||||||
\(258\) | 1.10188 | − | 1.90847i | 0.0686001 | − | 0.118816i | ||||
\(259\) | 2.17445 | 0.135114 | ||||||||
\(260\) | 1.88487 | − | 0.193882i | 0.116894 | − | 0.0120240i | ||||
\(261\) | 1.30297 | 0.0806519 | ||||||||
\(262\) | 12.4874 | − | 21.6283i | 0.771475 | − | 1.33620i | ||||
\(263\) | 6.91740 | + | 6.91740i | 0.426545 | + | 0.426545i | 0.887450 | − | 0.460905i | \(-0.152475\pi\) |
−0.460905 | + | 0.887450i | \(0.652475\pi\) | |||||||
\(264\) | −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 | ||||
\(268\) | −24.8135 | − | 6.64930i | −1.51573 | − | 0.406171i | ||||
\(269\) | 7.30112i | 0.445157i | 0.974915 | + | 0.222579i | \(0.0714474\pi\) | ||||
−0.974915 | + | 0.222579i | \(0.928553\pi\) | |||||||
\(270\) | −12.7387 | + | 9.21229i | −0.775251 | + | 0.560642i | ||||
\(271\) | 8.35803i | 0.507714i | 0.967242 | + | 0.253857i | \(0.0816992\pi\) | ||||
−0.967242 | + | 0.253857i | \(0.918301\pi\) | |||||||
\(272\) | −10.8725 | + | 2.91281i | −0.659243 | + | 0.176615i | ||||
\(273\) | −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 | \(0.425420\pi\) | |||||||
\(278\) | 24.9015 | + | 14.3772i | 1.49349 | + | 0.862287i | ||||
\(279\) | 0.368356 | 0.0220529 | ||||||||
\(280\) | 5.64109 | + | 2.52665i | 0.337120 | + | 0.150996i | ||||
\(281\) | 10.6639 | 0.636158 | 0.318079 | − | 0.948064i | \(-0.396962\pi\) | ||||
0.318079 | + | 0.948064i | \(0.396962\pi\) | |||||||
\(282\) | 22.6133 | + | 13.0561i | 1.34660 | + | 0.777478i | ||||
\(283\) | −0.153098 | − | 0.153098i | −0.00910071 | − | 0.00910071i | 0.702542 | − | 0.711642i | \(-0.252048\pi\) |
−0.711642 | + | 0.702542i | \(0.752048\pi\) | |||||||
\(284\) | 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 | ||||
\(288\) | −0.669667 | − | 1.16003i | −0.0394605 | − | 0.0683555i | ||||
\(289\) | − | 9.08150i | − | 0.534206i | ||||||
\(290\) | 2.76011 | − | 17.1811i | 0.162079 | − | 1.00891i | ||||
\(291\) | 13.8280i | 0.810611i | ||||||||
\(292\) | −4.91250 | − | 1.31641i | −0.287483 | − | 0.0770369i | ||||
\(293\) | 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 | ||||
\(298\) | −2.83202 | + | 4.90509i | −0.164055 | + | 0.284144i | ||||
\(299\) | 2.13673 | 0.123571 | ||||||||
\(300\) | −8.09691 | − | 16.0661i | −0.467475 | − | 0.927575i | ||||
\(301\) | 0.846487 | 0.0487907 | ||||||||
\(302\) | −13.1532 | + | 22.7814i | −0.756880 | + | 1.31092i | ||||
\(303\) | −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 | −0.791580 | − | 0.611065i | \(-0.790741\pi\) |
0.611065 | + | 0.791580i | \(0.290741\pi\) | |||||||
\(308\) | 1.25554 | − | 4.68536i | 0.0715409 | − | 0.266973i | ||||
\(309\) | − | 16.9132i | − | 0.962160i | ||||||
\(310\) | 0.780296 | − | 4.85716i | 0.0443178 | − | 0.275868i | ||||
\(311\) | − | 9.01815i | − | 0.511372i | −0.966760 | − | 0.255686i | \(-0.917699\pi\) | ||
0.966760 | − | 0.255686i | \(-0.0823014\pi\) | |||||||
\(312\) | 6.49722e−5 | − | 2.15602i | 3.67833e−6 | − | 0.122061i | ||||
\(313\) | 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 | \(-0.546757\pi\) | |||||||
\(318\) | −2.17564 | − | 1.25614i | −0.122004 | − | 0.0704406i | ||||
\(319\) | −13.6559 | −0.764581 | ||||||||
\(320\) | −16.7148 | + | 6.37295i | −0.934387 | + | 0.356259i | ||||
\(321\) | −30.8452 | −1.72161 | ||||||||
\(322\) | 6.03640 | + | 3.48520i | 0.336395 | + | 0.194223i | ||||
\(323\) | 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 | ||||
\(328\) | 0.000766241 | − | 25.4267i | 4.23086e−5 | − | 1.40395i | ||||
\(329\) | 10.0299i | 0.552969i | ||||||||
\(330\) | −11.4405 | + | 8.27349i | −0.629779 | + | 0.455440i | ||||
\(331\) | 3.28873i | 0.180765i | 0.995907 | + | 0.0903826i | \(0.0288090\pi\) | ||||
−0.995907 | + | 0.0903826i | \(0.971191\pi\) | |||||||
\(332\) | −0.562460 | + | 2.09896i | −0.0308690 | + | 0.115195i | ||||
\(333\) | −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 | \(0.599641\pi\) | |||||||
\(338\) | −9.06561 | + | 15.7017i | −0.493104 | + | 0.854062i | ||||
\(339\) | 13.4770 | 0.731968 | ||||||||
\(340\) | 1.28768 | + | 12.5185i | 0.0698342 | + | 0.678909i | ||||
\(341\) | −3.86057 | −0.209062 | ||||||||
\(342\) | −0.167434 | + | 0.289998i | −0.00905381 | + | 0.0156813i | ||||
\(343\) | 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 | −0.969395 | − | 0.245506i | \(-0.921046\pi\) |
0.245506 | + | 0.969395i | \(0.421046\pi\) | |||||||
\(348\) | −19.1254 | − | 5.12506i | −1.02523 | − | 0.274732i | ||||
\(349\) | 19.5025i | 1.04394i | 0.852962 | + | 0.521972i | \(0.174804\pi\) | ||||
−0.852962 | + | 0.521972i | \(0.825196\pi\) | |||||||
\(350\) | 3.78932 | − | 5.77914i | 0.202548 | − | 0.308908i | ||||
\(351\) | 2.10631i | 0.112427i | ||||||||
\(352\) | 7.01848 | + | 12.1578i | 0.374086 | + | 0.648011i | ||||
\(353\) | 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 | ||||
\(358\) | 27.0463 | + | 15.6156i | 1.42944 | + | 0.825308i | ||||
\(359\) | 0.969375 | 0.0511616 | 0.0255808 | − | 0.999673i | \(-0.491856\pi\) | ||||
0.0255808 | + | 0.999673i | \(0.491856\pi\) | |||||||
\(360\) | −1.39928 | + | 0.533558i | −0.0737484 | + | 0.0281210i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | −27.7612 | − | 16.0283i | −1.45910 | − | 0.842428i | ||||
\(363\) | −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 | −0.978087 | − | 0.208196i | \(-0.933241\pi\) |
0.208196 | + | 0.978087i | \(0.433241\pi\) | |||||||
\(368\) | −19.4853 | + | 5.22024i | −1.01574 | + | 0.272124i | ||||
\(369\) | − | 2.12861i | − | 0.110811i | ||||||
\(370\) | 4.12297 | + | 5.70121i | 0.214343 | + | 0.296392i | ||||
\(371\) | − | 0.964989i | − | 0.0500997i | ||||||
\(372\) | −5.40685 | − | 1.44888i | −0.280332 | − | 0.0751207i | ||||
\(373\) | 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 | ||||
\(378\) | −3.43558 | + | 5.95045i | −0.176707 | + | 0.306058i | ||||
\(379\) | 30.5819 | 1.57089 | 0.785443 | − | 0.618934i | \(-0.212435\pi\) | ||||
0.785443 | + | 0.618934i | \(0.212435\pi\) | |||||||
\(380\) | 3.46925 | + | 2.82211i | 0.177969 | + | 0.144771i | ||||
\(381\) | 3.60709 | 0.184797 | ||||||||
\(382\) | 19.4374 | − | 33.6658i | 0.994505 | − | 1.72249i | ||||
\(383\) | −16.6482 | − | 16.6482i | −0.850683 | − | 0.850683i | 0.139534 | − | 0.990217i | \(-0.455440\pi\) |
−0.990217 | + | 0.139534i | \(0.955440\pi\) | |||||||
\(384\) | 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 | ||||
\(388\) | 3.97888 | − | 14.8482i | 0.201997 | − | 0.753803i | ||||
\(389\) | − | 1.92974i | − | 0.0978417i | −0.998803 | − | 0.0489209i | \(-0.984422\pi\) | ||
0.998803 | − | 0.0489209i | \(-0.0155782\pi\) | |||||||
\(390\) | −2.37999 | − | 0.382341i | −0.120515 | − | 0.0193606i | ||||
\(391\) | 14.1913i | 0.717683i | ||||||||
\(392\) | −17.0974 | 0.000515236i | −0.863550 | 2.60233e-5i | ||||||
\(393\) | −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 | \(0.760869\pi\) | |||||||
\(398\) | −14.5128 | − | 8.37918i | −0.727463 | − | 0.420011i | ||||
\(399\) | −1.75830 | −0.0880249 | ||||||||
\(400\) | 4.07142 | + | 19.5812i | 0.203571 | + | 0.979060i | ||||
\(401\) | 31.1787 | 1.55699 | 0.778496 | − | 0.627649i | \(-0.215983\pi\) | ||||
0.778496 | + | 0.627649i | \(0.215983\pi\) | |||||||
\(402\) | 28.3020 | + | 16.3406i | 1.41158 | + | 0.814993i | ||||
\(403\) | −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 | ||||
\(408\) | 14.3194 | 0.000431518i | 0.708914 | 2.13633e-5i | ||||||
\(409\) | 4.25198i | 0.210247i | 0.994459 | + | 0.105123i | \(0.0335238\pi\) | ||||
−0.994459 | + | 0.105123i | \(0.966476\pi\) | |||||||
\(410\) | −28.0680 | − | 4.50909i | −1.38618 | − | 0.222688i | ||||
\(411\) | 4.17156i | 0.205768i | ||||||||
\(412\) | −4.86663 | + | 18.1611i | −0.239762 | + | 0.894731i | ||||
\(413\) | −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 | ||||
\(418\) | 1.75480 | − | 3.03934i | 0.0858302 | − | 0.148659i | ||||
\(419\) | −26.0973 | −1.27493 | −0.637467 | − | 0.770477i | \(-0.720018\pi\) | ||||
−0.637467 | + | 0.770477i | \(0.720018\pi\) | |||||||
\(420\) | −6.09997 | − | 4.96210i | −0.297648 | − | 0.242126i | ||||
\(421\) | −24.1130 | −1.17520 | −0.587599 | − | 0.809152i | \(-0.699927\pi\) | ||||
−0.587599 | + | 0.809152i | \(0.699927\pi\) | |||||||
\(422\) | −1.35105 | + | 2.34003i | −0.0657681 | + | 0.113911i | ||||
\(423\) | −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 | ||||
\(428\) | 33.1209 | + | 8.87543i | 1.60096 | + | 0.429010i | ||||
\(429\) | 1.89166i | 0.0913303i | ||||||||
\(430\) | 1.60502 | + | 2.21941i | 0.0774010 | + | 0.107030i | ||||
\(431\) | − | 1.00295i | − | 0.0483106i | −0.999708 | − | 0.0241553i | \(-0.992310\pi\) | ||
0.999708 | − | 0.0241553i | \(-0.00768962\pi\) | |||||||
\(432\) | −5.14592 | − | 19.2079i | −0.247583 | − | 0.924141i | ||||
\(433\) | −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 | ||||
\(438\) | 5.60314 | + | 3.23505i | 0.267728 | + | 0.154577i | ||||
\(439\) | −27.5639 | −1.31555 | −0.657777 | − | 0.753213i | \(-0.728503\pi\) | ||||
−0.657777 | + | 0.753213i | \(0.728503\pi\) | |||||||
\(440\) | 14.6652 | − | 5.59198i | 0.699135 | − | 0.266587i | ||||
\(441\) | −1.43132 | −0.0681582 | ||||||||
\(442\) | 1.46021 | + | 0.843073i | 0.0694552 | + | 0.0401009i | ||||
\(443\) | −24.8144 | − | 24.8144i | −1.17897 | − | 1.17897i | −0.980008 | − | 0.198960i | \(-0.936244\pi\) |
−0.198960 | − | 0.980008i | \(-0.563756\pi\) | |||||||
\(444\) | 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 | ||||
\(448\) | −5.52887 | + | 5.52820i | −0.261215 | + | 0.261183i | ||||
\(449\) | − | 17.5308i | − | 0.827330i | −0.910429 | − | 0.413665i | \(-0.864248\pi\) | ||
0.910429 | − | 0.413665i | \(-0.135752\pi\) | |||||||
\(450\) | 0.340891 | + | 1.63924i | 0.0160697 | + | 0.0772747i | ||||
\(451\) | 22.3090i | 1.05049i | ||||||||
\(452\) | −14.4713 | − | 3.87788i | −0.680671 | − | 0.182400i | ||||
\(453\) | 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 | \(0.901028\pi\) | |||||||
\(458\) | 1.27629 | − | 2.21055i | 0.0596371 | − | 0.103292i | ||||
\(459\) | −13.9892 | −0.652961 | ||||||||
\(460\) | 2.30773 | + | 22.4352i | 0.107599 | + | 1.04604i | ||||
\(461\) | −20.4762 | −0.953670 | −0.476835 | − | 0.878993i | \(-0.658216\pi\) | ||||
−0.476835 | + | 0.878993i | \(0.658216\pi\) | |||||||
\(462\) | −3.08546 | + | 5.34406i | −0.143549 | + | 0.248628i | ||||
\(463\) | −28.9404 | − | 28.9404i | −1.34497 | − | 1.34497i | −0.891032 | − | 0.453941i | \(-0.850018\pi\) |
−0.453941 | − | 0.891032i | \(-0.649982\pi\) | |||||||
\(464\) | 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 | −0.700799 | − | 0.713359i | \(-0.747173\pi\) |
0.713359 | + | 0.700799i | \(0.247173\pi\) | |||||||
\(468\) | −0.0519351 | + | 0.193809i | −0.00240070 | + | 0.00895883i | ||||
\(469\) | 12.5532i | 0.579651i | ||||||||
\(470\) | −26.2976 | + | 19.0178i | −1.21302 | + | 0.877224i | ||||
\(471\) | 9.84876i | 0.453807i | ||||||||
\(472\) | 0.000537811 | − | 17.8465i | 2.47547e−5 | − | 0.821454i | ||||
\(473\) | 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 | ||||
\(478\) | −17.5625 | − | 10.1399i | −0.803290 | − | 0.463790i | ||||
\(479\) | 2.06918 | 0.0945434 | 0.0472717 | − | 0.998882i | \(-0.484947\pi\) | ||||
0.0472717 | + | 0.998882i | \(0.484947\pi\) | |||||||
\(480\) | 22.6377 | − | 2.32788i | 1.03327 | − | 0.106253i | ||||
\(481\) | 0.942683 | 0.0429826 | ||||||||
\(482\) | −13.4192 | − | 7.74778i | −0.611229 | − | 0.352902i | ||||
\(483\) | −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 | −0.614949 | − | 0.788567i | \(-0.710823\pi\) |
0.788567 | + | 0.614949i | \(0.210823\pi\) | |||||||
\(488\) | 0.000934091 | − | 30.9966i | 4.22843e−5 | − | 1.40315i | ||||
\(489\) | − | 14.3921i | − | 0.650833i | ||||||
\(490\) | −3.03200 | + | 18.8735i | −0.136972 | + | 0.852618i | ||||
\(491\) | − | 7.97842i | − | 0.360061i | −0.983661 | − | 0.180030i | \(-0.942380\pi\) | ||
0.983661 | − | 0.180030i | \(-0.0576196\pi\) | |||||||
\(492\) | −8.37261 | + | 31.2445i | −0.377466 | + | 1.40861i | ||||
\(493\) | 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 | ||||
\(498\) | 1.38224 | − | 2.39405i | 0.0619394 | − | 0.107280i | ||||
\(499\) | 23.9622 | 1.07270 | 0.536349 | − | 0.843996i | \(-0.319803\pi\) | ||||
0.536349 | + | 0.843996i | \(0.319803\pi\) | |||||||
\(500\) | 22.3373 | − | 1.02257i | 0.998954 | − | 0.0457305i | ||||
\(501\) | 18.7570 | 0.838002 | ||||||||
\(502\) | 21.9306 | − | 37.9840i | 0.978808 | − | 1.69531i | ||||
\(503\) | 11.9399 | + | 11.9399i | 0.532373 | + | 0.532373i | 0.921278 | − | 0.388905i | \(-0.127147\pi\) |
−0.388905 | + | 0.921278i | \(0.627147\pi\) | |||||||
\(504\) | −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 | ||||
\(508\) | −3.87322 | − | 1.03791i | −0.171846 | − | 0.0460498i | ||||
\(509\) | 23.3369i | 1.03439i | 0.855868 | + | 0.517195i | \(0.173024\pi\) | ||||
−0.855868 | + | 0.517195i | \(0.826976\pi\) | |||||||
\(510\) | 2.53935 | − | 15.8069i | 0.112444 | − | 0.699939i | ||||
\(511\) | 2.48523i | 0.109940i | ||||||||
\(512\) | 0.00204565 | − | 22.6274i | 9.04058e−5 | − | 1.00000i | ||||
\(513\) | −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 | ||||
\(518\) | 2.66313 | + | 1.53760i | 0.117011 | + | 0.0675581i | ||||
\(519\) | 12.9850 | 0.569978 | ||||||||
\(520\) | 2.44556 | + | 1.09537i | 0.107245 | + | 0.0480352i | ||||
\(521\) | 28.6568 | 1.25548 | 0.627739 | − | 0.778424i | \(-0.283981\pi\) | ||||
0.627739 | + | 0.778424i | \(0.283981\pi\) | |||||||
\(522\) | 1.59580 | + | 0.921356i | 0.0698462 | + | 0.0403266i | ||||
\(523\) | −17.5067 | − | 17.5067i | −0.765515 | − | 0.765515i | 0.211798 | − | 0.977313i | \(-0.432068\pi\) |
−0.977313 | + | 0.211798i | \(0.932068\pi\) | |||||||
\(524\) | 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 | ||||
\(528\) | −4.62151 | − | 17.2505i | −0.201125 | − | 0.750731i | ||||
\(529\) | 2.43310i | 0.105787i | ||||||||
\(530\) | 2.53011 | − | 1.82971i | 0.109901 | − | 0.0794776i | ||||
\(531\) | − | 1.49404i | − | 0.0648356i | ||||||
\(532\) | 1.88802 | + | 0.505934i | 0.0818561 | + | 0.0219350i | ||||
\(533\) | −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 | ||||
\(538\) | −5.16276 | + | 8.94196i | −0.222583 | + | 0.385515i | ||||
\(539\) | 15.0010 | 0.646141 | ||||||||
\(540\) | −22.1157 | + | 2.27488i | −0.951709 | + | 0.0978951i | ||||
\(541\) | −25.5607 | −1.09894 | −0.549470 | − | 0.835513i | \(-0.685170\pi\) | ||||
−0.549470 | + | 0.835513i | \(0.685170\pi\) | |||||||
\(542\) | −5.91012 | + | 10.2364i | −0.253861 | + | 0.439691i | ||||
\(543\) | 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 | −0.139041 | − | 0.990287i | \(-0.544402\pi\) |
0.990287 | + | 0.139041i | \(0.0444020\pi\) | |||||||
\(548\) | 1.20033 | − | 4.47933i | 0.0512755 | − | 0.191348i | ||||
\(549\) | − | 2.59490i | − | 0.110748i | ||||||
\(550\) | −3.57272 | − | 17.1802i | −0.152341 | − | 0.732565i | ||||
\(551\) | − | 5.50279i | − | 0.234427i | ||||||
\(552\) | 25.6627 | 0.000773351i | 1.09227 | 3.29160e-5i | ||||||
\(553\) | 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 | \(0.505518\pi\) | |||||||
\(558\) | 0.451139 | + | 0.260471i | 0.0190982 | + | 0.0110266i | ||||
\(559\) | 0.366975 | 0.0155214 | ||||||||
\(560\) | 5.12222 | + | 7.08341i | 0.216453 | + | 0.299329i | ||||
\(561\) | −12.5636 | −0.530436 | ||||||||
\(562\) | 13.0605 | + | 7.54068i | 0.550925 | + | 0.318084i | ||||
\(563\) | −28.9631 | − | 28.9631i | −1.22065 | − | 1.22065i | −0.967402 | − | 0.253245i | \(-0.918502\pi\) |
−0.253245 | − | 0.967402i | \(-0.581498\pi\) | |||||||
\(564\) | 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 | ||||
\(568\) | 21.7998 | 0.000656942i | 0.914698 | 2.75647e-5i | ||||||
\(569\) | 28.7179i | 1.20392i | 0.798528 | + | 0.601958i | \(0.205612\pi\) | ||||
−0.798528 | + | 0.601958i | \(0.794388\pi\) | |||||||
\(570\) | −3.33390 | − | 4.61009i | −0.139642 | − | 0.193095i | ||||
\(571\) | 22.1834i | 0.928346i | 0.885744 | + | 0.464173i | \(0.153648\pi\) | ||||
−0.885744 | + | 0.464173i | \(0.846352\pi\) | |||||||
\(572\) | 0.544309 | − | 2.03123i | 0.0227587 | − | 0.0849298i | ||||
\(573\) | −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 | \(0.466459\pi\) | |||||||
\(578\) | 6.42170 | − | 11.1225i | 0.267107 | − | 0.462633i | ||||
\(579\) | 31.5578 | 1.31150 | ||||||||
\(580\) | 15.5295 | − | 19.0906i | 0.644826 | − | 0.792693i | ||||
\(581\) | 1.06186 | 0.0440534 | ||||||||
\(582\) | −9.77803 | + | 16.9357i | −0.405313 | + | 0.702006i | ||||
\(583\) | −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 | −0.885436 | − | 0.464760i | \(-0.846140\pi\) |
0.464760 | + | 0.885436i | \(0.346140\pi\) | |||||||
\(588\) | 21.0094 | + | 5.62991i | 0.866414 | + | 0.232173i | ||||
\(589\) | − | 1.55566i | − | 0.0641000i | ||||||
\(590\) | −19.7005 | − | 3.16485i | −0.811055 | − | 0.130295i | ||||
\(591\) | 0.127310i | 0.00523684i | ||||||||
\(592\) | −8.59653 | + | 2.30306i | −0.353315 | + | 0.0946553i | ||||
\(593\) | −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 | ||||
\(598\) | 2.61694 | + | 1.51093i | 0.107015 | + | 0.0617864i | ||||
\(599\) | 27.0682 | 1.10598 | 0.552988 | − | 0.833189i | \(-0.313488\pi\) | ||||
0.552988 | + | 0.833189i | \(0.313488\pi\) | |||||||
\(600\) | 1.44403 | − | 25.4022i | 0.0589523 | − | 1.03704i | ||||
\(601\) | 2.99835 | 0.122305 | 0.0611527 | − | 0.998128i | \(-0.480522\pi\) | ||||
0.0611527 | + | 0.998128i | \(0.480522\pi\) | |||||||
\(602\) | 1.03673 | + | 0.598567i | 0.0422538 | + | 0.0243958i | ||||
\(603\) | −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 | −0.409078 | − | 0.912499i | \(-0.634150\pi\) |
0.912499 | + | 0.409078i | \(0.134150\pi\) | |||||||
\(608\) | −4.89912 | + | 2.82818i | −0.198686 | + | 0.114698i | ||||
\(609\) | 9.67554i | 0.392073i | ||||||||
\(610\) | −34.2165 | − | 5.49683i | −1.38539 | − | 0.222560i | ||||
\(611\) | 4.34825i | 0.175911i | ||||||||
\(612\) | −1.28720 | − | 0.344931i | −0.0520318 | − | 0.0139430i | ||||
\(613\) | −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 | \(0.644229\pi\) | |||||||
\(618\) | 11.9597 | − | 20.7143i | 0.481088 | − | 0.833250i | ||||
\(619\) | −21.9269 | −0.881318 | −0.440659 | − | 0.897675i | \(-0.645255\pi\) | ||||
−0.440659 | + | 0.897675i | \(0.645255\pi\) | |||||||
\(620\) | 4.39025 | − | 5.39699i | 0.176317 | − | 0.216748i | ||||
\(621\) | −25.0710 | −1.00606 | ||||||||
\(622\) | 6.37691 | − | 11.0449i | 0.255691 | − | 0.442859i | ||||
\(623\) | 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 | ||||
\(628\) | 2.83389 | − | 10.5754i | 0.113085 | − | 0.422004i | ||||
\(629\) | 6.26089i | 0.249638i | ||||||||
\(630\) | 0.428828 | + | 0.592979i | 0.0170849 | + | 0.0236249i | ||||
\(631\) | 8.55264i | 0.340475i | 0.985403 | + | 0.170238i | \(0.0544535\pi\) | ||||
−0.985403 | + | 0.170238i | \(0.945546\pi\) | |||||||
\(632\) | −7.01700e−5 | 2.32850i | −2.79121e−6 | 0.0926228i | ||||||
\(633\) | 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 | ||||
\(638\) | −16.7248 | − | 9.65631i | −0.662143 | − | 0.382297i | ||||
\(639\) | 1.82498 | 0.0721952 | ||||||||
\(640\) | −24.9777 | − | 4.01418i | −0.987331 | − | 0.158674i | ||||
\(641\) | 1.23653 | 0.0488399 | 0.0244199 | − | 0.999702i | \(-0.492226\pi\) | ||||
0.0244199 | + | 0.999702i | \(0.492226\pi\) | |||||||
\(642\) | −37.7773 | − | 21.8112i | −1.49095 | − | 0.860820i | ||||
\(643\) | 2.39601 | + | 2.39601i | 0.0944892 | + | 0.0944892i | 0.752771 | − | 0.658282i | \(-0.228717\pi\) |
−0.658282 | + | 0.752771i | \(0.728717\pi\) | |||||||
\(644\) | 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 | −0.885758 | − | 0.464147i | \(-0.846361\pi\) |
0.464147 | + | 0.885758i | \(0.346361\pi\) | |||||||
\(648\) | −0.000822887 | 27.3064i | −3.23261e−5 | 1.07270i | ||||||
\(649\) | 15.6583i | 0.614643i | ||||||||
\(650\) | 1.64277 | − | 2.50541i | 0.0644347 | − | 0.0982703i | ||||
\(651\) | 2.73532i | 0.107206i | ||||||||
\(652\) | −4.14120 | + | 15.4539i | −0.162182 | + | 0.605222i | ||||
\(653\) | 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 | ||||
\(658\) | −7.09237 | + | 12.2841i | −0.276489 | + | 0.478882i | ||||
\(659\) | −8.59030 | −0.334631 | −0.167315 | − | 0.985903i | \(-0.553510\pi\) | ||||
−0.167315 | + | 0.985903i | \(0.553510\pi\) | |||||||
\(660\) | −19.8620 | + | 2.04305i | −0.773126 | + | 0.0795256i | ||||
\(661\) | 35.7451 | 1.39032 | 0.695161 | − | 0.718854i | \(-0.255333\pi\) | ||||
0.695161 | + | 0.718854i | \(0.255333\pi\) | |||||||
\(662\) | −2.32553 | + | 4.02784i | −0.0903841 | + | 0.156546i | ||||
\(663\) | −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 | ||||
\(668\) | −20.1409 | − | 5.39717i | −0.779274 | − | 0.208823i | ||||
\(669\) | − | 13.3567i | − | 0.516399i | ||||||
\(670\) | −32.9132 | + | 23.8020i | −1.27155 | + | 0.919551i | ||||
\(671\) | 27.1960i | 1.04989i | ||||||||
\(672\) | 8.61411 | − | 4.97278i | 0.332296 | − | 0.191829i | ||||
\(673\) | 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 | \(0.482693\pi\) | |||||||
\(678\) | 16.5057 | + | 9.52982i | 0.633899 | + | 0.365990i | ||||
\(679\) | −7.51169 | −0.288272 | ||||||||
\(680\) | −7.27498 | + | 16.2424i | −0.278983 | + | 0.622867i | ||||
\(681\) | −43.5306 | −1.66810 | ||||||||
\(682\) | −4.72819 | − | 2.72988i | −0.181052 | − | 0.104533i | ||||
\(683\) | −7.17226 | − | 7.17226i | −0.274439 | − | 0.274439i | 0.556445 | − | 0.830884i | \(-0.312165\pi\) |
−0.830884 | + | 0.556445i | \(0.812165\pi\) | |||||||
\(684\) | −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 | ||||
\(688\) | −3.34652 | + | 0.896554i | −0.127585 | + | 0.0341808i | ||||
\(689\) | − | 0.418348i | − | 0.0159378i | ||||||
\(690\) | 4.55093 | − | 28.3285i | 0.173251 | − | 1.07845i | ||||
\(691\) | 28.5788i | 1.08719i | 0.839348 | + | 0.543594i | \(0.182937\pi\) | ||||
−0.839348 | + | 0.543594i | \(0.817063\pi\) | |||||||
\(692\) | −13.9430 | − | 3.73632i | −0.530033 | − | 0.142033i | ||||
\(693\) | 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 | ||||
\(698\) | −13.7906 | + | 23.8854i | −0.521981 | + | 0.904077i | ||||
\(699\) | −24.0877 | −0.911082 | ||||||||
\(700\) | 8.72746 | − | 4.39843i | 0.329867 | − | 0.166245i | ||||
\(701\) | −27.2769 | −1.03023 | −0.515117 | − | 0.857120i | \(-0.672251\pi\) | ||||
−0.515117 | + | 0.857120i | \(0.672251\pi\) | |||||||
\(702\) | −1.48941 | + | 2.57968i | −0.0562143 | + | 0.0973637i | ||||
\(703\) | 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 | ||||
\(708\) | −5.87658 | + | 21.9299i | −0.220856 | + | 0.824178i | ||||
\(709\) | − | 36.6344i | − | 1.37583i | −0.725789 | − | 0.687917i | \(-0.758525\pi\) | ||
0.725789 | − | 0.687917i | \(-0.241475\pi\) | |||||||
\(710\) | 3.86590 | − | 24.0643i | 0.145085 | − | 0.903119i | ||||
\(711\) | 0.194932i | 0.00731052i | ||||||||
\(712\) | −29.2401 | 0.000881157i | −1.09582 | 3.30228e-5i | ||||||
\(713\) | 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 | ||||
\(718\) | 1.18723 | + | 0.685463i | 0.0443070 | + | 0.0255813i | ||||
\(719\) | −25.4725 | −0.949964 | −0.474982 | − | 0.879996i | \(-0.657545\pi\) | ||||
−0.474982 | + | 0.879996i | \(0.657545\pi\) | |||||||
\(720\) | −2.09104 | − | 0.335986i | −0.0779283 | − | 0.0125215i | ||||
\(721\) | 9.18766 | 0.342166 | ||||||||
\(722\) | 1.22474 | + | 0.707119i | 0.0455800 | + | 0.0263162i | ||||
\(723\) | 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 | −0.801945 | − | 0.597398i | \(-0.796201\pi\) |
0.597398 | + | 0.801945i | \(0.296201\pi\) | |||||||
\(728\) | 1.17120 | 3.52944e-5i | 0.0434076 | 1.30810e-6i | ||||||
\(729\) | − | 24.5458i | − | 0.909105i | ||||||
\(730\) | −6.51605 | + | 4.71224i | −0.241170 | + | 0.174408i | ||||
\(731\) | 2.43729i | 0.0901463i | ||||||||
\(732\) | −10.2067 | + | 38.0888i | −0.377250 | + | 1.40780i | ||||
\(733\) | 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 | ||||
\(738\) | 1.50518 | − | 2.60699i | 0.0554065 | − | 0.0959647i | ||||
\(739\) | 37.1286 | 1.36580 | 0.682899 | − | 0.730513i | \(-0.260719\pi\) | ||||
0.682899 | + | 0.730513i | \(0.260719\pi\) | |||||||
\(740\) | 1.01812 | + | 9.89793i | 0.0374270 | + | 0.363855i | ||||
\(741\) | −0.762268 | −0.0280026 | ||||||||
\(742\) | 0.682362 | − | 1.18186i | 0.0250503 | − | 0.0433874i | ||||
\(743\) | 33.2064 | + | 33.2064i | 1.21822 | + | 1.21822i | 0.968254 | + | 0.249970i | \(0.0804208\pi\) |
0.249970 | + | 0.968254i | \(0.419579\pi\) | |||||||
\(744\) | −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 | ||||
\(748\) | 13.4905 | + | 3.61507i | 0.493262 | + | 0.132180i | ||||
\(749\) | − | 16.7558i | − | 0.612244i | ||||||
\(750\) | −27.7851 | − | 6.09794i | −1.01457 | − | 0.222665i | ||||
\(751\) | − | 40.6688i | − | 1.48403i | −0.670385 | − | 0.742013i | \(-0.733871\pi\) | ||
0.670385 | − | 0.742013i | \(-0.266129\pi\) | |||||||
\(752\) | −10.6232 | − | 39.6526i | −0.387387 | − | 1.44598i | ||||
\(753\) | −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 | \(0.895811\pi\) | |||||||
\(758\) | 37.4548 | + | 21.6250i | 1.36042 | + | 0.785457i | ||||
\(759\) | −22.5161 | −0.817281 | ||||||||
\(760\) | 2.25336 | + | 5.90952i | 0.0817379 | + | 0.214361i | ||||
\(761\) | 25.4641 | 0.923073 | 0.461537 | − | 0.887121i | \(-0.347298\pi\) | ||||
0.461537 | + | 0.887121i | \(0.347298\pi\) | |||||||
\(762\) | 4.41774 | + | 2.55064i | 0.160038 | + | 0.0924001i | ||||
\(763\) | −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 | ||||
\(768\) | −7.45252 | + | 27.8043i | −0.268920 | + | 1.00330i | ||||
\(769\) | − | 14.3062i | − | 0.515897i | −0.966159 | − | 0.257948i | \(-0.916954\pi\) | ||
0.966159 | − | 0.257948i | \(-0.0830464\pi\) | |||||||
\(770\) | −4.49435 | − | 6.21475i | −0.161965 | − | 0.223964i | ||||
\(771\) |