Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(307,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.307");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(58\) |
Relative dimension: | \(29\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 307.4 | ||
Character | \(\chi\) | \(=\) | 731.307 |
Dual form | 731.2.e.a.681.4 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.13710 | −1.51116 | −0.755579 | − | 0.655058i | \(-0.772644\pi\) | ||||
−0.755579 | + | 0.655058i | \(0.772644\pi\) | |||||||
\(3\) | 1.01873 | − | 1.76449i | 0.588163 | − | 1.01873i | −0.406310 | − | 0.913735i | \(-0.633185\pi\) |
0.994473 | − | 0.104993i | \(-0.0334819\pi\) | |||||||
\(4\) | 2.56719 | 1.28360 | ||||||||
\(5\) | −1.08625 | + | 1.88145i | −0.485787 | + | 0.841408i | −0.999867 | − | 0.0163344i | \(-0.994800\pi\) |
0.514079 | + | 0.857743i | \(0.328134\pi\) | |||||||
\(6\) | −2.17712 | + | 3.77089i | −0.888807 | + | 1.53946i | ||||
\(7\) | 0.371017 | + | 0.642620i | 0.140231 | + | 0.242888i | 0.927584 | − | 0.373616i | \(-0.121882\pi\) |
−0.787352 | + | 0.616503i | \(0.788549\pi\) | |||||||
\(8\) | −1.21215 | −0.428560 | ||||||||
\(9\) | −0.575612 | − | 0.996990i | −0.191871 | − | 0.332330i | ||||
\(10\) | 2.32143 | − | 4.02084i | 0.734101 | − | 1.27150i | ||||
\(11\) | 0.410861 | 0.123879 | 0.0619397 | − | 0.998080i | \(-0.480271\pi\) | ||||
0.0619397 | + | 0.998080i | \(0.480271\pi\) | |||||||
\(12\) | 2.61527 | − | 4.52978i | 0.754964 | − | 1.30764i | ||||
\(13\) | −1.10701 | − | 1.91740i | −0.307029 | − | 0.531791i | 0.670682 | − | 0.741745i | \(-0.266002\pi\) |
−0.977711 | + | 0.209955i | \(0.932668\pi\) | |||||||
\(14\) | −0.792900 | − | 1.37334i | −0.211911 | − | 0.367041i | ||||
\(15\) | 2.21319 | + | 3.83336i | 0.571444 | + | 0.989770i | ||||
\(16\) | −2.54390 | −0.635975 | ||||||||
\(17\) | 0.500000 | + | 0.866025i | 0.121268 | + | 0.210042i | ||||
\(18\) | 1.23014 | + | 2.13067i | 0.289947 | + | 0.502203i | ||||
\(19\) | 3.07446 | − | 5.32511i | 0.705329 | − | 1.22166i | −0.261244 | − | 0.965273i | \(-0.584133\pi\) |
0.966573 | − | 0.256392i | \(-0.0825339\pi\) | |||||||
\(20\) | −2.78862 | + | 4.83004i | −0.623555 | + | 1.08003i | ||||
\(21\) | 1.51186 | 0.329915 | ||||||||
\(22\) | −0.878051 | −0.187201 | ||||||||
\(23\) | −3.88256 | + | 6.72479i | −0.809569 | + | 1.40221i | 0.103593 | + | 0.994620i | \(0.466966\pi\) |
−0.913163 | + | 0.407595i | \(0.866367\pi\) | |||||||
\(24\) | −1.23485 | + | 2.13883i | −0.252063 | + | 0.436586i | ||||
\(25\) | 0.140107 | + | 0.242673i | 0.0280215 | + | 0.0485346i | ||||
\(26\) | 2.36579 | + | 4.09767i | 0.463970 | + | 0.803619i | ||||
\(27\) | 3.76680 | 0.724921 | ||||||||
\(28\) | 0.952473 | + | 1.64973i | 0.180000 | + | 0.311770i | ||||
\(29\) | 4.16854 | + | 7.22013i | 0.774079 | + | 1.34074i | 0.935311 | + | 0.353828i | \(0.115120\pi\) |
−0.161232 | + | 0.986917i | \(0.551547\pi\) | |||||||
\(30\) | −4.72981 | − | 8.19228i | −0.863542 | − | 1.49570i | ||||
\(31\) | −3.08845 | + | 5.34934i | −0.554701 | + | 0.960771i | 0.443226 | + | 0.896410i | \(0.353834\pi\) |
−0.997927 | + | 0.0643605i | \(0.979499\pi\) | |||||||
\(32\) | 7.86087 | 1.38962 | ||||||||
\(33\) | 0.418556 | − | 0.724960i | 0.0728612 | − | 0.126199i | ||||
\(34\) | −1.06855 | − | 1.85078i | −0.183255 | − | 0.317407i | ||||
\(35\) | −1.61207 | −0.272490 | ||||||||
\(36\) | −1.47771 | − | 2.55947i | −0.246285 | − | 0.426578i | ||||
\(37\) | −3.44814 | + | 5.97236i | −0.566871 | + | 0.981849i | 0.430002 | + | 0.902828i | \(0.358513\pi\) |
−0.996873 | + | 0.0790215i | \(0.974820\pi\) | |||||||
\(38\) | −6.57042 | + | 11.3803i | −1.06586 | + | 1.84613i | ||||
\(39\) | −4.51097 | −0.722333 | ||||||||
\(40\) | 1.31670 | − | 2.28060i | 0.208189 | − | 0.360594i | ||||
\(41\) | −0.165338 | −0.0258215 | −0.0129108 | − | 0.999917i | \(-0.504110\pi\) | ||||
−0.0129108 | + | 0.999917i | \(0.504110\pi\) | |||||||
\(42\) | −3.23100 | −0.498554 | ||||||||
\(43\) | 6.55010 | + | 0.310127i | 0.998881 | + | 0.0472939i | ||||
\(44\) | 1.05476 | 0.159011 | ||||||||
\(45\) | 2.50104 | 0.372833 | ||||||||
\(46\) | 8.29741 | − | 14.3715i | 1.22339 | − | 2.11897i | ||||
\(47\) | 13.1349 | 1.91593 | 0.957964 | − | 0.286888i | \(-0.0926207\pi\) | ||||
0.957964 | + | 0.286888i | \(0.0926207\pi\) | |||||||
\(48\) | −2.59154 | + | 4.48868i | −0.374057 | + | 0.647886i | ||||
\(49\) | 3.22469 | − | 5.58533i | 0.460670 | − | 0.797905i | ||||
\(50\) | −0.299423 | − | 0.518616i | −0.0423449 | − | 0.0733434i | ||||
\(51\) | 2.03746 | 0.285301 | ||||||||
\(52\) | −2.84191 | − | 4.92233i | −0.394102 | − | 0.682605i | ||||
\(53\) | 3.48198 | − | 6.03097i | 0.478287 | − | 0.828417i | −0.521403 | − | 0.853310i | \(-0.674591\pi\) |
0.999690 | + | 0.0248935i | \(0.00792466\pi\) | |||||||
\(54\) | −8.05002 | −1.09547 | ||||||||
\(55\) | −0.446299 | + | 0.773013i | −0.0601790 | + | 0.104233i | ||||
\(56\) | −0.449729 | − | 0.778953i | −0.0600975 | − | 0.104092i | ||||
\(57\) | −6.26407 | − | 10.8497i | −0.829696 | − | 1.43708i | ||||
\(58\) | −8.90859 | − | 15.4301i | −1.16976 | − | 2.02608i | ||||
\(59\) | −5.68695 | −0.740378 | −0.370189 | − | 0.928956i | \(-0.620707\pi\) | ||||
−0.370189 | + | 0.928956i | \(0.620707\pi\) | |||||||
\(60\) | 5.68170 | + | 9.84099i | 0.733504 | + | 1.27047i | ||||
\(61\) | −5.48907 | − | 9.50734i | −0.702803 | − | 1.21729i | −0.967479 | − | 0.252953i | \(-0.918598\pi\) |
0.264675 | − | 0.964338i | \(-0.414735\pi\) | |||||||
\(62\) | 6.60032 | − | 11.4321i | 0.838241 | − | 1.45188i | ||||
\(63\) | 0.427124 | − | 0.739800i | 0.0538125 | − | 0.0932060i | ||||
\(64\) | −11.7117 | −1.46396 | ||||||||
\(65\) | 4.80997 | 0.596604 | ||||||||
\(66\) | −0.894495 | + | 1.54931i | −0.110105 | + | 0.190707i | ||||
\(67\) | 3.52936 | − | 6.11303i | 0.431180 | − | 0.746825i | −0.565795 | − | 0.824546i | \(-0.691431\pi\) |
0.996975 | + | 0.0777204i | \(0.0247641\pi\) | |||||||
\(68\) | 1.28360 | + | 2.22326i | 0.155659 | + | 0.269609i | ||||
\(69\) | 7.91054 | + | 13.7015i | 0.952317 | + | 1.64946i | ||||
\(70\) | 3.44516 | 0.411776 | ||||||||
\(71\) | 6.52348 | + | 11.2990i | 0.774195 | + | 1.34094i | 0.935246 | + | 0.353999i | \(0.115178\pi\) |
−0.161051 | + | 0.986946i | \(0.551488\pi\) | |||||||
\(72\) | 0.697729 | + | 1.20850i | 0.0822282 | + | 0.142423i | ||||
\(73\) | 5.22555 | + | 9.05093i | 0.611605 | + | 1.05933i | 0.990970 | + | 0.134084i | \(0.0428091\pi\) |
−0.379365 | + | 0.925247i | \(0.623858\pi\) | |||||||
\(74\) | 7.36902 | − | 12.7635i | 0.856632 | − | 1.48373i | ||||
\(75\) | 0.570925 | 0.0659247 | ||||||||
\(76\) | 7.89273 | − | 13.6706i | 0.905358 | − | 1.56813i | ||||
\(77\) | 0.152436 | + | 0.264028i | 0.0173717 | + | 0.0300887i | ||||
\(78\) | 9.64039 | 1.09156 | ||||||||
\(79\) | 2.63992 | + | 4.57247i | 0.297014 | + | 0.514443i | 0.975451 | − | 0.220215i | \(-0.0706759\pi\) |
−0.678437 | + | 0.734658i | \(0.737343\pi\) | |||||||
\(80\) | 2.76332 | − | 4.78621i | 0.308949 | − | 0.535115i | ||||
\(81\) | 5.56418 | − | 9.63744i | 0.618242 | − | 1.07083i | ||||
\(82\) | 0.353345 | 0.0390204 | ||||||||
\(83\) | −2.28011 | + | 3.94926i | −0.250274 | + | 0.433488i | −0.963601 | − | 0.267344i | \(-0.913854\pi\) |
0.713327 | + | 0.700831i | \(0.247187\pi\) | |||||||
\(84\) | 3.88124 | 0.423478 | ||||||||
\(85\) | −2.17251 | −0.235641 | ||||||||
\(86\) | −13.9982 | − | 0.662772i | −1.50947 | − | 0.0714685i | ||||
\(87\) | 16.9864 | 1.82114 | ||||||||
\(88\) | −0.498026 | −0.0530898 | ||||||||
\(89\) | −3.21878 | + | 5.57509i | −0.341190 | + | 0.590958i | −0.984654 | − | 0.174518i | \(-0.944163\pi\) |
0.643464 | + | 0.765476i | \(0.277497\pi\) | |||||||
\(90\) | −5.34498 | −0.563410 | ||||||||
\(91\) | 0.821439 | − | 1.42277i | 0.0861102 | − | 0.149147i | ||||
\(92\) | −9.96728 | + | 17.2638i | −1.03916 | + | 1.79988i | ||||
\(93\) | 6.29257 | + | 10.8991i | 0.652509 | + | 1.13018i | ||||
\(94\) | −28.0707 | −2.89527 | ||||||||
\(95\) | 6.67928 | + | 11.5688i | 0.685279 | + | 1.18694i | ||||
\(96\) | 8.00809 | − | 13.8704i | 0.817322 | − | 1.41564i | ||||
\(97\) | 15.9516 | 1.61964 | 0.809818 | − | 0.586682i | \(-0.199566\pi\) | ||||
0.809818 | + | 0.586682i | \(0.199566\pi\) | |||||||
\(98\) | −6.89149 | + | 11.9364i | −0.696146 | + | 1.20576i | ||||
\(99\) | −0.236497 | − | 0.409624i | −0.0237688 | − | 0.0411688i | ||||
\(100\) | 0.359683 | + | 0.622989i | 0.0359683 | + | 0.0622989i | ||||
\(101\) | −0.379991 | − | 0.658164i | −0.0378105 | − | 0.0654897i | 0.846501 | − | 0.532387i | \(-0.178705\pi\) |
−0.884311 | + | 0.466898i | \(0.845372\pi\) | |||||||
\(102\) | −4.35425 | −0.431135 | ||||||||
\(103\) | −1.05560 | − | 1.82836i | −0.104012 | − | 0.180154i | 0.809322 | − | 0.587365i | \(-0.199835\pi\) |
−0.913334 | + | 0.407211i | \(0.866501\pi\) | |||||||
\(104\) | 1.34186 | + | 2.32418i | 0.131581 | + | 0.227904i | ||||
\(105\) | −1.64226 | + | 2.84448i | −0.160269 | + | 0.277593i | ||||
\(106\) | −7.44134 | + | 12.8888i | −0.722767 | + | 1.25187i | ||||
\(107\) | 12.1150 | 1.17120 | 0.585598 | − | 0.810601i | \(-0.300860\pi\) | ||||
0.585598 | + | 0.810601i | \(0.300860\pi\) | |||||||
\(108\) | 9.67010 | 0.930506 | ||||||||
\(109\) | 2.39629 | − | 4.15050i | 0.229523 | − | 0.397546i | −0.728144 | − | 0.685424i | \(-0.759617\pi\) |
0.957667 | + | 0.287879i | \(0.0929500\pi\) | |||||||
\(110\) | 0.953786 | − | 1.65201i | 0.0909399 | − | 0.157513i | ||||
\(111\) | 7.02544 | + | 12.1684i | 0.666825 | + | 1.15497i | ||||
\(112\) | −0.943830 | − | 1.63476i | −0.0891836 | − | 0.154470i | ||||
\(113\) | −4.95989 | −0.466587 | −0.233294 | − | 0.972406i | \(-0.574950\pi\) | ||||
−0.233294 | + | 0.972406i | \(0.574950\pi\) | |||||||
\(114\) | 13.3869 | + | 23.1869i | 1.25380 | + | 2.17165i | ||||
\(115\) | −8.43488 | − | 14.6096i | −0.786557 | − | 1.36236i | ||||
\(116\) | 10.7015 | + | 18.5355i | 0.993606 | + | 1.72098i | ||||
\(117\) | −1.27442 | + | 2.20736i | −0.117820 | + | 0.204070i | ||||
\(118\) | 12.1536 | 1.11883 | ||||||||
\(119\) | −0.371017 | + | 0.642620i | −0.0340111 | + | 0.0589089i | ||||
\(120\) | −2.68273 | − | 4.64662i | −0.244898 | − | 0.424176i | ||||
\(121\) | −10.8312 | −0.984654 | ||||||||
\(122\) | 11.7307 | + | 20.3181i | 1.06205 | + | 1.83952i | ||||
\(123\) | −0.168435 | + | 0.291738i | −0.0151873 | + | 0.0263051i | ||||
\(124\) | −7.92864 | + | 13.7328i | −0.712013 | + | 1.23324i | ||||
\(125\) | −11.4713 | −1.02602 | ||||||||
\(126\) | −0.912806 | + | 1.58103i | −0.0813192 | + | 0.140849i | ||||
\(127\) | −0.982824 | −0.0872116 | −0.0436058 | − | 0.999049i | \(-0.513885\pi\) | ||||
−0.0436058 | + | 0.999049i | \(0.513885\pi\) | |||||||
\(128\) | 9.30725 | 0.822653 | ||||||||
\(129\) | 7.21998 | − | 11.2416i | 0.635684 | − | 0.989771i | ||||
\(130\) | −10.2794 | −0.901563 | ||||||||
\(131\) | −18.0780 | −1.57948 | −0.789739 | − | 0.613443i | \(-0.789784\pi\) | ||||
−0.789739 | + | 0.613443i | \(0.789784\pi\) | |||||||
\(132\) | 1.07451 | − | 1.86111i | 0.0935244 | − | 0.161989i | ||||
\(133\) | 4.56270 | 0.395636 | ||||||||
\(134\) | −7.54259 | + | 13.0642i | −0.651581 | + | 1.12857i | ||||
\(135\) | −4.09170 | + | 7.08703i | −0.352157 | + | 0.609954i | ||||
\(136\) | −0.606076 | − | 1.04975i | −0.0519706 | − | 0.0900157i | ||||
\(137\) | 9.85940 | 0.842345 | 0.421173 | − | 0.906980i | \(-0.361619\pi\) | ||||
0.421173 | + | 0.906980i | \(0.361619\pi\) | |||||||
\(138\) | −16.9056 | − | 29.2814i | −1.43910 | − | 2.49260i | ||||
\(139\) | −4.38595 | + | 7.59669i | −0.372012 | + | 0.644343i | −0.989875 | − | 0.141943i | \(-0.954665\pi\) |
0.617863 | + | 0.786286i | \(0.287999\pi\) | |||||||
\(140\) | −4.13851 | −0.349768 | ||||||||
\(141\) | 13.3809 | − | 23.1765i | 1.12688 | − | 1.95181i | ||||
\(142\) | −13.9413 | − | 24.1471i | −1.16993 | − | 2.02638i | ||||
\(143\) | −0.454828 | − | 0.787784i | −0.0380346 | − | 0.0658778i | ||||
\(144\) | 1.46430 | + | 2.53624i | 0.122025 | + | 0.211354i | ||||
\(145\) | −18.1124 | −1.50415 | ||||||||
\(146\) | −11.1675 | − | 19.3427i | −0.924231 | − | 1.60082i | ||||
\(147\) | −6.57017 | − | 11.3799i | −0.541898 | − | 0.938595i | ||||
\(148\) | −8.85205 | + | 15.3322i | −0.727634 | + | 1.26030i | ||||
\(149\) | 3.19529 | − | 5.53440i | 0.261768 | − | 0.453396i | −0.704944 | − | 0.709263i | \(-0.749028\pi\) |
0.966712 | + | 0.255867i | \(0.0823611\pi\) | |||||||
\(150\) | −1.22012 | −0.0996227 | ||||||||
\(151\) | 18.7850 | 1.52870 | 0.764349 | − | 0.644803i | \(-0.223061\pi\) | ||||
0.764349 | + | 0.644803i | \(0.223061\pi\) | |||||||
\(152\) | −3.72671 | + | 6.45485i | −0.302276 | + | 0.523557i | ||||
\(153\) | 0.575612 | − | 0.996990i | 0.0465355 | − | 0.0806018i | ||||
\(154\) | −0.325772 | − | 0.564253i | −0.0262514 | − | 0.0454688i | ||||
\(155\) | −6.70967 | − | 11.6215i | −0.538934 | − | 0.933460i | ||||
\(156\) | −11.5805 | −0.927185 | ||||||||
\(157\) | −0.298181 | − | 0.516465i | −0.0237974 | − | 0.0412184i | 0.853881 | − | 0.520468i | \(-0.174242\pi\) |
−0.877679 | + | 0.479249i | \(0.840909\pi\) | |||||||
\(158\) | −5.64177 | − | 9.77182i | −0.448835 | − | 0.777405i | ||||
\(159\) | −7.09438 | − | 12.2878i | −0.562621 | − | 0.974488i | ||||
\(160\) | −8.53890 | + | 14.7898i | −0.675059 | + | 1.16924i | ||||
\(161\) | −5.76198 | −0.454107 | ||||||||
\(162\) | −11.8912 | + | 20.5962i | −0.934261 | + | 1.61819i | ||||
\(163\) | 3.54913 | + | 6.14728i | 0.277989 | + | 0.481492i | 0.970885 | − | 0.239546i | \(-0.0769987\pi\) |
−0.692896 | + | 0.721038i | \(0.743665\pi\) | |||||||
\(164\) | −0.424456 | −0.0331445 | ||||||||
\(165\) | 0.909315 | + | 1.57498i | 0.0707901 | + | 0.122612i | ||||
\(166\) | 4.87282 | − | 8.43996i | 0.378204 | − | 0.655068i | ||||
\(167\) | −7.79458 | + | 13.5006i | −0.603163 | + | 1.04471i | 0.389176 | + | 0.921163i | \(0.372760\pi\) |
−0.992339 | + | 0.123545i | \(0.960574\pi\) | |||||||
\(168\) | −1.83260 | −0.141389 | ||||||||
\(169\) | 4.04906 | − | 7.01317i | 0.311466 | − | 0.539475i | ||||
\(170\) | 4.64286 | 0.356091 | ||||||||
\(171\) | −7.07878 | −0.541328 | ||||||||
\(172\) | 16.8154 | + | 0.796156i | 1.28216 | + | 0.0607063i | ||||
\(173\) | −8.63889 | −0.656803 | −0.328401 | − | 0.944538i | \(-0.606510\pi\) | ||||
−0.328401 | + | 0.944538i | \(0.606510\pi\) | |||||||
\(174\) | −36.3017 | −2.75203 | ||||||||
\(175\) | −0.103964 | + | 0.180072i | −0.00785897 | + | 0.0136121i | ||||
\(176\) | −1.04519 | −0.0787842 | ||||||||
\(177\) | −5.79345 | + | 10.0346i | −0.435463 | + | 0.754244i | ||||
\(178\) | 6.87885 | − | 11.9145i | 0.515592 | − | 0.893031i | ||||
\(179\) | 5.91830 | + | 10.2508i | 0.442354 | + | 0.766180i | 0.997864 | − | 0.0653299i | \(-0.0208100\pi\) |
−0.555509 | + | 0.831510i | \(0.687477\pi\) | |||||||
\(180\) | 6.42066 | 0.478568 | ||||||||
\(181\) | −10.5697 | − | 18.3072i | −0.785637 | − | 1.36076i | −0.928618 | − | 0.371038i | \(-0.879002\pi\) |
0.142980 | − | 0.989726i | \(-0.454331\pi\) | |||||||
\(182\) | −1.75550 | + | 3.04061i | −0.130126 | + | 0.225385i | ||||
\(183\) | −22.3675 | −1.65345 | ||||||||
\(184\) | 4.70625 | − | 8.15146i | 0.346949 | − | 0.600934i | ||||
\(185\) | −7.49111 | − | 12.9750i | −0.550757 | − | 0.953940i | ||||
\(186\) | −13.4478 | − | 23.2924i | −0.986044 | − | 1.70788i | ||||
\(187\) | 0.205431 | + | 0.355816i | 0.0150226 | + | 0.0260199i | ||||
\(188\) | 33.7200 | 2.45928 | ||||||||
\(189\) | 1.39755 | + | 2.42062i | 0.101656 | + | 0.176074i | ||||
\(190\) | −14.2743 | − | 24.7238i | −1.03556 | − | 1.79365i | ||||
\(191\) | −5.97986 | + | 10.3574i | −0.432688 | + | 0.749437i | −0.997104 | − | 0.0760535i | \(-0.975768\pi\) |
0.564416 | + | 0.825490i | \(0.309101\pi\) | |||||||
\(192\) | −11.9310 | + | 20.6651i | −0.861046 | + | 1.49137i | ||||
\(193\) | 24.9259 | 1.79421 | 0.897104 | − | 0.441819i | \(-0.145667\pi\) | ||||
0.897104 | + | 0.441819i | \(0.145667\pi\) | |||||||
\(194\) | −34.0901 | −2.44752 | ||||||||
\(195\) | 4.90005 | − | 8.48714i | 0.350900 | − | 0.607777i | ||||
\(196\) | 8.27841 | − | 14.3386i | 0.591315 | − | 1.02419i | ||||
\(197\) | 0.0816140 | + | 0.141360i | 0.00581476 | + | 0.0100715i | 0.868918 | − | 0.494956i | \(-0.164816\pi\) |
−0.863103 | + | 0.505027i | \(0.831482\pi\) | |||||||
\(198\) | 0.505417 | + | 0.875408i | 0.0359184 | + | 0.0622125i | ||||
\(199\) | −25.6307 | −1.81691 | −0.908457 | − | 0.417978i | \(-0.862739\pi\) | ||||
−0.908457 | + | 0.417978i | \(0.862739\pi\) | |||||||
\(200\) | −0.169831 | − | 0.294157i | −0.0120089 | − | 0.0208000i | ||||
\(201\) | −7.19091 | − | 12.4550i | −0.507208 | − | 0.878510i | ||||
\(202\) | 0.812078 | + | 1.40656i | 0.0571376 | + | 0.0989653i | ||||
\(203\) | −3.09320 | + | 5.35758i | −0.217100 | + | 0.376028i | ||||
\(204\) | 5.23054 | 0.366211 | ||||||||
\(205\) | 0.179599 | − | 0.311075i | 0.0125438 | − | 0.0217265i | ||||
\(206\) | 2.25593 | + | 3.90739i | 0.157178 | + | 0.272241i | ||||
\(207\) | 8.93939 | 0.621331 | ||||||||
\(208\) | 2.81612 | + | 4.87767i | 0.195263 | + | 0.338206i | ||||
\(209\) | 1.26317 | − | 2.18788i | 0.0873756 | − | 0.151339i | ||||
\(210\) | 3.50968 | − | 6.07895i | 0.242191 | − | 0.419487i | ||||
\(211\) | −2.59938 | −0.178949 | −0.0894744 | − | 0.995989i | \(-0.528519\pi\) | ||||
−0.0894744 | + | 0.995989i | \(0.528519\pi\) | |||||||
\(212\) | 8.93892 | − | 15.4827i | 0.613928 | − | 1.06335i | ||||
\(213\) | 26.5826 | 1.82141 | ||||||||
\(214\) | −25.8909 | −1.76986 | ||||||||
\(215\) | −7.69856 | + | 11.9868i | −0.525037 | + | 0.817492i | ||||
\(216\) | −4.56593 | −0.310672 | ||||||||
\(217\) | −4.58346 | −0.311146 | ||||||||
\(218\) | −5.12111 | + | 8.87003i | −0.346845 | + | 0.600754i | ||||
\(219\) | 21.2937 | 1.43889 | ||||||||
\(220\) | −1.14574 | + | 1.98448i | −0.0772456 | + | 0.133793i | ||||
\(221\) | 1.10701 | − | 1.91740i | 0.0744656 | − | 0.128978i | ||||
\(222\) | −15.0141 | − | 26.0051i | −1.00768 | − | 1.74535i | ||||
\(223\) | −16.8234 | −1.12658 | −0.563289 | − | 0.826260i | \(-0.690464\pi\) | ||||
−0.563289 | + | 0.826260i | \(0.690464\pi\) | |||||||
\(224\) | 2.91652 | + | 5.05156i | 0.194868 | + | 0.337521i | ||||
\(225\) | 0.161295 | − | 0.279371i | 0.0107530 | − | 0.0186247i | ||||
\(226\) | 10.5998 | 0.705087 | ||||||||
\(227\) | 6.45726 | − | 11.1843i | 0.428584 | − | 0.742328i | −0.568164 | − | 0.822915i | \(-0.692346\pi\) |
0.996748 | + | 0.0805869i | \(0.0256794\pi\) | |||||||
\(228\) | −16.0811 | − | 27.8532i | −1.06500 | − | 1.84463i | ||||
\(229\) | 1.08251 | + | 1.87496i | 0.0715343 | + | 0.123901i | 0.899574 | − | 0.436769i | \(-0.143877\pi\) |
−0.828040 | + | 0.560670i | \(0.810544\pi\) | |||||||
\(230\) | 18.0262 | + | 31.2223i | 1.18861 | + | 2.05874i | ||||
\(231\) | 0.621165 | 0.0408697 | ||||||||
\(232\) | −5.05291 | − | 8.75189i | −0.331740 | − | 0.574590i | ||||
\(233\) | −0.106553 | − | 0.184556i | −0.00698055 | − | 0.0120907i | 0.862514 | − | 0.506033i | \(-0.168889\pi\) |
−0.869495 | + | 0.493942i | \(0.835555\pi\) | |||||||
\(234\) | 2.72356 | − | 4.71734i | 0.178044 | − | 0.308382i | ||||
\(235\) | −14.2679 | + | 24.7127i | −0.930734 | + | 1.61208i | ||||
\(236\) | −14.5995 | −0.950347 | ||||||||
\(237\) | 10.7574 | 0.698770 | ||||||||
\(238\) | 0.792900 | − | 1.37334i | 0.0513961 | − | 0.0890206i | ||||
\(239\) | −2.40320 | + | 4.16247i | −0.155450 | + | 0.269248i | −0.933223 | − | 0.359298i | \(-0.883016\pi\) |
0.777773 | + | 0.628546i | \(0.216350\pi\) | |||||||
\(240\) | −5.63014 | − | 9.75169i | −0.363424 | − | 0.629469i | ||||
\(241\) | −1.96639 | − | 3.40589i | −0.126667 | − | 0.219393i | 0.795717 | − | 0.605669i | \(-0.207094\pi\) |
−0.922383 | + | 0.386276i | \(0.873761\pi\) | |||||||
\(242\) | 23.1473 | 1.48797 | ||||||||
\(243\) | −5.68657 | − | 9.84942i | −0.364793 | − | 0.631841i | ||||
\(244\) | −14.0915 | − | 24.4072i | −0.902116 | − | 1.56251i | ||||
\(245\) | 7.00567 | + | 12.1342i | 0.447576 | + | 0.775224i | ||||
\(246\) | 0.359962 | − | 0.623473i | 0.0229503 | − | 0.0397512i | ||||
\(247\) | −13.6138 | −0.866226 | ||||||||
\(248\) | 3.74366 | − | 6.48422i | 0.237723 | − | 0.411748i | ||||
\(249\) | 4.64562 | + | 8.04644i | 0.294404 | + | 0.509923i | ||||
\(250\) | 24.5153 | 1.55048 | ||||||||
\(251\) | −11.0798 | − | 19.1908i | −0.699352 | − | 1.21131i | −0.968691 | − | 0.248268i | \(-0.920139\pi\) |
0.269339 | − | 0.963045i | \(-0.413195\pi\) | |||||||
\(252\) | 1.09651 | − | 1.89921i | 0.0690736 | − | 0.119639i | ||||
\(253\) | −1.59519 | + | 2.76295i | −0.100289 | + | 0.173705i | ||||
\(254\) | 2.10039 | 0.131790 | ||||||||
\(255\) | −2.21319 | + | 3.83336i | −0.138596 | + | 0.240054i | ||||
\(256\) | 3.53281 | 0.220800 | ||||||||
\(257\) | −23.7016 | −1.47846 | −0.739232 | − | 0.673451i | \(-0.764811\pi\) | ||||
−0.739232 | + | 0.673451i | \(0.764811\pi\) | |||||||
\(258\) | −15.4298 | + | 24.0245i | −0.960619 | + | 1.49570i | ||||
\(259\) | −5.11728 | −0.317972 | ||||||||
\(260\) | 12.3481 | 0.765799 | ||||||||
\(261\) | 4.79893 | − | 8.31199i | 0.297046 | − | 0.514499i | ||||
\(262\) | 38.6344 | 2.38684 | ||||||||
\(263\) | −7.89050 | + | 13.6667i | −0.486549 | + | 0.842728i | −0.999880 | − | 0.0154628i | \(-0.995078\pi\) |
0.513331 | + | 0.858190i | \(0.328411\pi\) | |||||||
\(264\) | −0.507353 | + | 0.878761i | −0.0312254 | + | 0.0540840i | ||||
\(265\) | 7.56462 | + | 13.1023i | 0.464691 | + | 0.804869i | ||||
\(266\) | −9.75095 | −0.597869 | ||||||||
\(267\) | 6.55812 | + | 11.3590i | 0.401350 | + | 0.695159i | ||||
\(268\) | 9.06055 | − | 15.6933i | 0.553461 | − | 0.958623i | ||||
\(269\) | 6.51991 | 0.397526 | 0.198763 | − | 0.980048i | \(-0.436308\pi\) | ||||
0.198763 | + | 0.980048i | \(0.436308\pi\) | |||||||
\(270\) | 8.74436 | − | 15.1457i | 0.532165 | − | 0.921737i | ||||
\(271\) | −0.131974 | − | 0.228586i | −0.00801686 | − | 0.0138856i | 0.861989 | − | 0.506927i | \(-0.169219\pi\) |
−0.870006 | + | 0.493041i | \(0.835885\pi\) | |||||||
\(272\) | −1.27195 | − | 2.20308i | −0.0771233 | − | 0.133582i | ||||
\(273\) | −1.67365 | − | 2.89884i | −0.101294 | − | 0.175446i | ||||
\(274\) | −21.0705 | −1.27292 | ||||||||
\(275\) | 0.0575647 | + | 0.0997049i | 0.00347128 | + | 0.00601243i | ||||
\(276\) | 20.3079 | + | 35.1743i | 1.22239 | + | 2.11724i | ||||
\(277\) | −5.01768 | + | 8.69087i | −0.301483 | + | 0.522184i | −0.976472 | − | 0.215644i | \(-0.930815\pi\) |
0.674989 | + | 0.737828i | \(0.264148\pi\) | |||||||
\(278\) | 9.37322 | − | 16.2349i | 0.562168 | − | 0.973704i | ||||
\(279\) | 7.11099 | 0.425724 | ||||||||
\(280\) | 1.95408 | 0.116778 | ||||||||
\(281\) | 7.61322 | − | 13.1865i | 0.454167 | − | 0.786639i | −0.544473 | − | 0.838778i | \(-0.683270\pi\) |
0.998640 | + | 0.0521387i | \(0.0166038\pi\) | |||||||
\(282\) | −28.5964 | + | 49.5304i | −1.70289 | + | 2.94949i | ||||
\(283\) | −2.20577 | − | 3.82051i | −0.131119 | − | 0.227106i | 0.792989 | − | 0.609236i | \(-0.208524\pi\) |
−0.924108 | + | 0.382131i | \(0.875190\pi\) | |||||||
\(284\) | 16.7470 | + | 29.0067i | 0.993754 | + | 1.72123i | ||||
\(285\) | 27.2175 | 1.61222 | ||||||||
\(286\) | 0.972012 | + | 1.68357i | 0.0574763 | + | 0.0995518i | ||||
\(287\) | −0.0613434 | − | 0.106250i | −0.00362099 | − | 0.00627173i | ||||
\(288\) | −4.52481 | − | 7.83721i | −0.266627 | − | 0.461812i | ||||
\(289\) | −0.500000 | + | 0.866025i | −0.0294118 | + | 0.0509427i | ||||
\(290\) | 38.7079 | 2.27301 | ||||||||
\(291\) | 16.2503 | − | 28.1463i | 0.952609 | − | 1.64997i | ||||
\(292\) | 13.4150 | + | 23.2355i | 0.785054 | + | 1.35975i | ||||
\(293\) | 13.6415 | 0.796944 | 0.398472 | − | 0.917181i | \(-0.369541\pi\) | ||||
0.398472 | + | 0.917181i | \(0.369541\pi\) | |||||||
\(294\) | 14.0411 | + | 24.3199i | 0.818894 | + | 1.41837i | ||||
\(295\) | 6.17747 | − | 10.6997i | 0.359666 | − | 0.622960i | ||||
\(296\) | 4.17967 | − | 7.23940i | 0.242938 | − | 0.420782i | ||||
\(297\) | 1.54763 | 0.0898027 | ||||||||
\(298\) | −6.82865 | + | 11.8276i | −0.395573 | + | 0.685153i | ||||
\(299\) | 17.1921 | 0.994246 | ||||||||
\(300\) | 1.46568 | 0.0846208 | ||||||||
\(301\) | 2.23090 | + | 4.32429i | 0.128587 | + | 0.249248i | ||||
\(302\) | −40.1453 | −2.31010 | ||||||||
\(303\) | −1.54843 | −0.0889549 | ||||||||
\(304\) | −7.82111 | + | 13.5466i | −0.448571 | + | 0.776949i | ||||
\(305\) | 23.8501 | 1.36565 | ||||||||
\(306\) | −1.23014 | + | 2.13067i | −0.0703225 | + | 0.121802i | ||||
\(307\) | −15.2379 | + | 26.3929i | −0.869676 | + | 1.50632i | −0.00734717 | + | 0.999973i | \(0.502339\pi\) |
−0.862328 | + | 0.506349i | \(0.830995\pi\) | |||||||
\(308\) | 0.391334 | + | 0.677810i | 0.0222983 | + | 0.0386218i | ||||
\(309\) | −4.30149 | −0.244703 | ||||||||
\(310\) | 14.3392 | + | 24.8363i | 0.814414 | + | 1.41061i | ||||
\(311\) | 15.7693 | − | 27.3131i | 0.894192 | − | 1.54879i | 0.0593911 | − | 0.998235i | \(-0.481084\pi\) |
0.834801 | − | 0.550552i | \(-0.185583\pi\) | |||||||
\(312\) | 5.46798 | 0.309563 | ||||||||
\(313\) | −10.3222 | + | 17.8785i | −0.583443 | + | 1.01055i | 0.411624 | + | 0.911354i | \(0.364962\pi\) |
−0.995068 | + | 0.0991999i | \(0.968372\pi\) | |||||||
\(314\) | 0.637243 | + | 1.10374i | 0.0359617 | + | 0.0622875i | ||||
\(315\) | 0.927929 | + | 1.60722i | 0.0522829 | + | 0.0905566i | ||||
\(316\) | 6.77718 | + | 11.7384i | 0.381246 | + | 0.660338i | ||||
\(317\) | −26.4447 | −1.48528 | −0.742641 | − | 0.669690i | \(-0.766427\pi\) | ||||
−0.742641 | + | 0.669690i | \(0.766427\pi\) | |||||||
\(318\) | 15.1614 | + | 26.2603i | 0.850209 | + | 1.47260i | ||||
\(319\) | 1.71269 | + | 2.96647i | 0.0958924 | + | 0.166090i | ||||
\(320\) | 12.7218 | − | 22.0349i | 0.711172 | − | 1.23179i | ||||
\(321\) | 12.3418 | − | 21.3767i | 0.688854 | − | 1.19313i | ||||
\(322\) | 12.3139 | 0.686228 | ||||||||
\(323\) | 6.14891 | 0.342135 | ||||||||
\(324\) | 14.2843 | − | 24.7412i | 0.793574 | − | 1.37451i | ||||
\(325\) | 0.310201 | − | 0.537283i | 0.0172068 | − | 0.0298031i | ||||
\(326\) | −7.58485 | − | 13.1373i | −0.420086 | − | 0.727610i | ||||
\(327\) | −4.88234 | − | 8.45645i | −0.269994 | − | 0.467643i | ||||
\(328\) | 0.200415 | 0.0110661 | ||||||||
\(329\) | 4.87329 | + | 8.44078i | 0.268673 | + | 0.465355i | ||||
\(330\) | −1.94330 | − | 3.36589i | −0.106975 | − | 0.185286i | ||||
\(331\) | −1.07550 | − | 1.86281i | −0.0591146 | − | 0.102389i | 0.834954 | − | 0.550320i | \(-0.185494\pi\) |
−0.894068 | + | 0.447931i | \(0.852161\pi\) | |||||||
\(332\) | −5.85348 | + | 10.1385i | −0.321251 | + | 0.556424i | ||||
\(333\) | 7.93917 | 0.435064 | ||||||||
\(334\) | 16.6578 | − | 28.8522i | 0.911474 | − | 1.57872i | ||||
\(335\) | 7.66756 | + | 13.2806i | 0.418923 | + | 0.725596i | ||||
\(336\) | −3.84602 | −0.209818 | ||||||||
\(337\) | 8.18412 | + | 14.1753i | 0.445817 | + | 0.772178i | 0.998109 | − | 0.0614727i | \(-0.0195797\pi\) |
−0.552291 | + | 0.833651i | \(0.686246\pi\) | |||||||
\(338\) | −8.65324 | + | 14.9878i | −0.470674 | + | 0.815231i | ||||
\(339\) | −5.05278 | + | 8.75166i | −0.274429 | + | 0.475325i | ||||
\(340\) | −5.57725 | −0.302469 | ||||||||
\(341\) | −1.26892 | + | 2.19784i | −0.0687160 | + | 0.119020i | ||||
\(342\) | 15.1281 | 0.818031 | ||||||||
\(343\) | 9.97990 | 0.538864 | ||||||||
\(344\) | −7.93972 | − | 0.375921i | −0.428081 | − | 0.0202683i | ||||
\(345\) | −34.3714 | −1.85049 | ||||||||
\(346\) | 18.4622 | 0.992532 | ||||||||
\(347\) | 18.1377 | − | 31.4154i | 0.973682 | − | 1.68647i | 0.289464 | − | 0.957189i | \(-0.406523\pi\) |
0.684218 | − | 0.729277i | \(-0.260144\pi\) | |||||||
\(348\) | 43.6075 | 2.33761 | ||||||||
\(349\) | −1.99635 | + | 3.45777i | −0.106862 | + | 0.185090i | −0.914497 | − | 0.404592i | \(-0.867414\pi\) |
0.807635 | + | 0.589682i | \(0.200747\pi\) | |||||||
\(350\) | 0.222182 | − | 0.384831i | 0.0118761 | − | 0.0205701i | ||||
\(351\) | −4.16988 | − | 7.22245i | −0.222572 | − | 0.385506i | ||||
\(352\) | 3.22973 | 0.172145 | ||||||||
\(353\) | −12.2056 | − | 21.1407i | −0.649639 | − | 1.12521i | −0.983209 | − | 0.182483i | \(-0.941587\pi\) |
0.333570 | − | 0.942725i | \(-0.391747\pi\) | |||||||
\(354\) | 12.3812 | − | 21.4449i | 0.658053 | − | 1.13978i | ||||
\(355\) | −28.3446 | −1.50438 | ||||||||
\(356\) | −8.26323 | + | 14.3123i | −0.437950 | + | 0.758552i | ||||
\(357\) | 0.755930 | + | 1.30931i | 0.0400081 | + | 0.0692960i | ||||
\(358\) | −12.6480 | − | 21.9070i | −0.668467 | − | 1.15782i | ||||
\(359\) | 5.82211 | + | 10.0842i | 0.307279 | + | 0.532223i | 0.977766 | − | 0.209698i | \(-0.0672481\pi\) |
−0.670487 | + | 0.741921i | \(0.733915\pi\) | |||||||
\(360\) | −3.03164 | −0.159782 | ||||||||
\(361\) | −9.40456 | − | 16.2892i | −0.494977 | − | 0.857325i | ||||
\(362\) | 22.5884 | + | 39.1243i | 1.18722 | + | 2.05633i | ||||
\(363\) | −11.0340 | + | 19.1115i | −0.579137 | + | 1.00309i | ||||
\(364\) | 2.10879 | − | 3.65254i | 0.110531 | − | 0.191445i | ||||
\(365\) | −22.7051 | −1.18844 | ||||||||
\(366\) | 47.8015 | 2.49862 | ||||||||
\(367\) | 11.0689 | − | 19.1720i | 0.577794 | − | 1.00077i | −0.417938 | − | 0.908476i | \(-0.637247\pi\) |
0.995732 | − | 0.0922933i | \(-0.0294197\pi\) | |||||||
\(368\) | 9.87684 | − | 17.1072i | 0.514866 | − | 0.891774i | ||||
\(369\) | 0.0951709 | + | 0.164841i | 0.00495440 | + | 0.00858127i | ||||
\(370\) | 16.0093 | + | 27.7288i | 0.832281 | + | 1.44155i | ||||
\(371\) | 5.16749 | 0.268283 | ||||||||
\(372\) | 16.1543 | + | 27.9800i | 0.837559 | + | 1.45069i | ||||
\(373\) | 11.6750 | + | 20.2218i | 0.604511 | + | 1.04704i | 0.992129 | + | 0.125223i | \(0.0399646\pi\) |
−0.387618 | + | 0.921820i | \(0.626702\pi\) | |||||||
\(374\) | −0.439026 | − | 0.760415i | −0.0227015 | − | 0.0393201i | ||||
\(375\) | −11.6861 | + | 20.2410i | −0.603469 | + | 1.04524i | ||||
\(376\) | −15.9215 | −0.821091 | ||||||||
\(377\) | 9.22924 | − | 15.9855i | 0.475330 | − | 0.823296i | ||||
\(378\) | −2.98669 | − | 5.17311i | −0.153619 | − | 0.266076i | ||||
\(379\) | −2.47184 | −0.126970 | −0.0634848 | − | 0.997983i | \(-0.520221\pi\) | ||||
−0.0634848 | + | 0.997983i | \(0.520221\pi\) | |||||||
\(380\) | 17.1470 | + | 29.6995i | 0.879623 | + | 1.52355i | ||||
\(381\) | −1.00123 | + | 1.73418i | −0.0512946 | + | 0.0888448i | ||||
\(382\) | 12.7796 | − | 22.1348i | 0.653859 | − | 1.13252i | ||||
\(383\) | −26.5925 | −1.35881 | −0.679407 | − | 0.733762i | \(-0.737763\pi\) | ||||
−0.679407 | + | 0.733762i | \(0.737763\pi\) | |||||||
\(384\) | 9.48156 | − | 16.4225i | 0.483854 | − | 0.838059i | ||||
\(385\) | −0.662338 | −0.0337559 | ||||||||
\(386\) | −53.2692 | −2.71133 | ||||||||
\(387\) | −3.46113 | − | 6.70890i | −0.175939 | − | 0.341032i | ||||
\(388\) | 40.9508 | 2.07896 | ||||||||
\(389\) | 5.77052 | 0.292577 | 0.146289 | − | 0.989242i | \(-0.453267\pi\) | ||||
0.146289 | + | 0.989242i | \(0.453267\pi\) | |||||||
\(390\) | −10.4719 | + | 18.1379i | −0.530265 | + | 0.918447i | ||||
\(391\) | −7.76511 | −0.392699 | ||||||||
\(392\) | −3.90882 | + | 6.77027i | −0.197425 | + | 0.341950i | ||||
\(393\) | −18.4165 | + | 31.8983i | −0.928990 | + | 1.60906i | ||||
\(394\) | −0.174417 | − | 0.302100i | −0.00878701 | − | 0.0152196i | ||||
\(395\) | −11.4705 | −0.577142 | ||||||||
\(396\) | −0.607133 | − | 1.05159i | −0.0305096 | − | 0.0528442i | ||||
\(397\) | 6.23101 | − | 10.7924i | 0.312725 | − | 0.541656i | −0.666226 | − | 0.745750i | \(-0.732091\pi\) |
0.978951 | + | 0.204094i | \(0.0654247\pi\) | |||||||
\(398\) | 54.7754 | 2.74564 | ||||||||
\(399\) | 4.64815 | − | 8.05083i | 0.232699 | − | 0.403046i | ||||
\(400\) | −0.356419 | − | 0.617336i | −0.0178210 | − | 0.0308668i | ||||
\(401\) | −13.6371 | − | 23.6202i | −0.681006 | − | 1.17954i | −0.974674 | − | 0.223629i | \(-0.928210\pi\) |
0.293669 | − | 0.955907i | \(-0.405124\pi\) | |||||||
\(402\) | 15.3677 | + | 26.6176i | 0.766471 | + | 1.32757i | ||||
\(403\) | 13.6758 | 0.681238 | ||||||||
\(404\) | −0.975511 | − | 1.68963i | −0.0485335 | − | 0.0840624i | ||||
\(405\) | 12.0882 | + | 20.9374i | 0.600668 | + | 1.04039i | ||||
\(406\) | 6.61048 | − | 11.4497i | 0.328072 | − | 0.568238i | ||||
\(407\) | −1.41671 | + | 2.45381i | −0.0702236 | + | 0.121631i | ||||
\(408\) | −2.46970 | −0.122269 | ||||||||
\(409\) | −25.9143 | −1.28138 | −0.640689 | − | 0.767800i | \(-0.721351\pi\) | ||||
−0.640689 | + | 0.767800i | \(0.721351\pi\) | |||||||
\(410\) | −0.383822 | + | 0.664799i | −0.0189556 | + | 0.0328321i | ||||
\(411\) | 10.0440 | − | 17.3968i | 0.495436 | − | 0.858120i | ||||
\(412\) | −2.70994 | − | 4.69376i | −0.133509 | − | 0.231245i | ||||
\(413\) | −2.10996 | − | 3.65455i | −0.103824 | − | 0.179829i | ||||
\(414\) | −19.1044 | −0.938928 | ||||||||
\(415\) | −4.95355 | − | 8.57980i | −0.243160 | − | 0.421166i | ||||
\(416\) | −8.70207 | − | 15.0724i | −0.426654 | − | 0.738986i | ||||
\(417\) | 8.93618 | + | 15.4779i | 0.437607 | + | 0.757957i | ||||
\(418\) | −2.69953 | + | 4.67572i | −0.132038 | + | 0.228697i | ||||
\(419\) | −1.66860 | −0.0815165 | −0.0407582 | − | 0.999169i | \(-0.512977\pi\) | ||||
−0.0407582 | + | 0.999169i | \(0.512977\pi\) | |||||||
\(420\) | −4.21601 | + | 7.30235i | −0.205720 | + | 0.356318i | ||||
\(421\) | −8.04015 | − | 13.9259i | −0.391853 | − | 0.678709i | 0.600841 | − | 0.799368i | \(-0.294832\pi\) |
−0.992694 | + | 0.120660i | \(0.961499\pi\) | |||||||
\(422\) | 5.55514 | 0.270420 | ||||||||
\(423\) | −7.56063 | − | 13.0954i | −0.367611 | − | 0.636720i | ||||
\(424\) | −4.22069 | + | 7.31044i | −0.204975 | + | 0.355027i | ||||
\(425\) | −0.140107 | + | 0.242673i | −0.00679620 | + | 0.0117714i | ||||
\(426\) | −56.8097 | −2.75244 | ||||||||
\(427\) | 4.07307 | − | 7.05477i | 0.197110 | − | 0.341404i | ||||
\(428\) | 31.1014 | 1.50335 | ||||||||
\(429\) | −1.85338 | −0.0894821 | ||||||||
\(430\) | 16.4526 | − | 25.6170i | 0.793414 | − | 1.23536i | ||||
\(431\) | −32.4005 | −1.56068 | −0.780338 | − | 0.625358i | \(-0.784953\pi\) | ||||
−0.780338 | + | 0.625358i | \(0.784953\pi\) | |||||||
\(432\) | −9.58236 | −0.461031 | ||||||||
\(433\) | 2.57693 | − | 4.46337i | 0.123839 | − | 0.214496i | −0.797439 | − | 0.603399i | \(-0.793813\pi\) |
0.921279 | + | 0.388903i | \(0.127146\pi\) | |||||||
\(434\) | 9.79532 | 0.470190 | ||||||||
\(435\) | −18.4516 | + | 31.9591i | −0.884685 | + | 1.53232i | ||||
\(436\) | 6.15175 | − | 10.6551i | 0.294615 | − | 0.510288i | ||||
\(437\) | 23.8735 | + | 41.3501i | 1.14202 | + | 1.97804i | ||||
\(438\) | −45.5067 | −2.17439 | ||||||||
\(439\) | −2.38449 | − | 4.13005i | −0.113805 | − | 0.197117i | 0.803496 | − | 0.595310i | \(-0.202971\pi\) |
−0.917302 | + | 0.398193i | \(0.869637\pi\) | |||||||
\(440\) | 0.540982 | − | 0.937009i | 0.0257903 | − | 0.0446702i | ||||
\(441\) | −7.42469 | −0.353557 | ||||||||
\(442\) | −2.36579 | + | 4.09767i | −0.112529 | + | 0.194906i | ||||
\(443\) | 0.580351 | + | 1.00520i | 0.0275733 | + | 0.0477584i | 0.879483 | − | 0.475931i | \(-0.157889\pi\) |
−0.851909 | + | 0.523689i | \(0.824555\pi\) | |||||||
\(444\) | 18.0357 | + | 31.2387i | 0.855935 | + | 1.48252i | ||||
\(445\) | −6.99282 | − | 12.1119i | −0.331491 | − | 0.574160i | ||||
\(446\) | 35.9533 | 1.70244 | ||||||||
\(447\) | −6.51026 | − | 11.2761i | −0.307925 | − | 0.533341i | ||||
\(448\) | −4.34523 | − | 7.52615i | −0.205293 | − | 0.355577i | ||||
\(449\) | −8.26368 | + | 14.3131i | −0.389987 | + | 0.675477i | −0.992447 | − | 0.122672i | \(-0.960854\pi\) |
0.602460 | + | 0.798149i | \(0.294187\pi\) | |||||||
\(450\) | −0.344703 | + | 0.597044i | −0.0162495 | + | 0.0281449i | ||||
\(451\) | −0.0679312 | −0.00319875 | ||||||||
\(452\) | −12.7330 | −0.598910 | ||||||||
\(453\) | 19.1368 | − | 33.1458i | 0.899123 | − | 1.55733i | ||||
\(454\) | −13.7998 | + | 23.9020i | −0.647657 | + | 1.12178i | ||||
\(455\) | 1.78458 | + | 3.09099i | 0.0836625 | + | 0.144908i | ||||
\(456\) | 7.59300 | + | 13.1515i | 0.355575 | + | 0.615874i | ||||
\(457\) | 29.6796 | 1.38835 | 0.694177 | − | 0.719804i | \(-0.255768\pi\) | ||||
0.694177 | + | 0.719804i | \(0.255768\pi\) | |||||||
\(458\) | −2.31343 | − | 4.00698i | −0.108100 | − | 0.187234i | ||||
\(459\) | 1.88340 | + | 3.26214i | 0.0879095 | + | 0.152264i | ||||
\(460\) | −21.6540 | − | 37.5058i | −1.00962 | − | 1.74872i | ||||
\(461\) | 6.08868 | − | 10.5459i | 0.283578 | − | 0.491172i | −0.688685 | − | 0.725060i | \(-0.741812\pi\) |
0.972263 | + | 0.233889i | \(0.0751451\pi\) | |||||||
\(462\) | −1.32749 | −0.0617605 | ||||||||
\(463\) | 16.6281 | − | 28.8008i | 0.772775 | − | 1.33849i | −0.163262 | − | 0.986583i | \(-0.552202\pi\) |
0.936037 | − | 0.351903i | \(-0.114465\pi\) | |||||||
\(464\) | −10.6044 | − | 18.3673i | −0.492295 | − | 0.852680i | ||||
\(465\) | −27.3413 | −1.26792 | ||||||||
\(466\) | 0.227715 | + | 0.394415i | 0.0105487 | + | 0.0182709i | ||||
\(467\) | −12.7800 | + | 22.1357i | −0.591390 | + | 1.02432i | 0.402656 | + | 0.915352i | \(0.368087\pi\) |
−0.994046 | + | 0.108966i | \(0.965246\pi\) | |||||||
\(468\) | −3.27168 | + | 5.66671i | −0.151233 | + | 0.261944i | ||||
\(469\) | 5.23781 | 0.241859 | ||||||||
\(470\) | 30.4919 | − | 52.8135i | 1.40649 | − | 2.43610i | ||||
\(471\) | −1.21506 | −0.0559871 | ||||||||
\(472\) | 6.89345 | 0.317297 | ||||||||
\(473\) | 2.69118 | + | 0.127419i | 0.123741 | + | 0.00585873i | ||||
\(474\) | −22.9897 | −1.05595 | ||||||||
\(475\) | 1.72302 | 0.0790574 | ||||||||
\(476\) | −0.952473 | + | 1.64973i | −0.0436565 | + | 0.0756153i | ||||
\(477\) | −8.01708 | −0.367077 | ||||||||
\(478\) | 5.13589 | − | 8.89562i | 0.234910 | − | 0.406876i | ||||
\(479\) | 10.5332 | − | 18.2441i | 0.481275 | − | 0.833593i | −0.518494 | − | 0.855081i | \(-0.673507\pi\) |
0.999769 | + | 0.0214883i | \(0.00684046\pi\) | |||||||
\(480\) | 17.3976 | + | 30.1336i | 0.794089 | + | 1.37540i | ||||
\(481\) | 15.2685 | 0.696184 | ||||||||
\(482\) | 4.20238 | + | 7.27873i | 0.191413 | + | 0.331537i | ||||
\(483\) | −5.86989 | + | 10.1669i | −0.267089 | + | 0.462612i | ||||
\(484\) | −27.8058 | −1.26390 | ||||||||
\(485\) | −17.3274 | + | 30.0120i | −0.786798 | + | 1.36277i | ||||
\(486\) | 12.1528 | + | 21.0492i | 0.551260 | + | 0.954811i | ||||
\(487\) | −0.194791 | − | 0.337388i | −0.00882681 | − | 0.0152885i | 0.861578 | − | 0.507625i | \(-0.169476\pi\) |
−0.870405 | + | 0.492336i | \(0.836143\pi\) | |||||||
\(488\) | 6.65358 | + | 11.5243i | 0.301194 | + | 0.521683i | ||||
\(489\) | 14.4624 | 0.654012 | ||||||||
\(490\) | −14.9718 | − | 25.9319i | −0.676357 | − | 1.17149i | ||||
\(491\) | −11.3356 | − | 19.6338i | −0.511566 | − | 0.886059i | −0.999910 | − | 0.0134076i | \(-0.995732\pi\) |
0.488344 | − | 0.872651i | \(-0.337601\pi\) | |||||||
\(492\) | −0.432405 | + | 0.748948i | −0.0194943 | + | 0.0337652i | ||||
\(493\) | −4.16854 | + | 7.22013i | −0.187742 | + | 0.325178i | ||||
\(494\) | 29.0941 | 1.30900 | ||||||||
\(495\) | 1.02758 | 0.0461863 | ||||||||
\(496\) | 7.85670 | − | 13.6082i | 0.352776 | − | 0.611026i | ||||
\(497\) | −4.84064 | + | 8.38424i | −0.217133 | + | 0.376085i | ||||
\(498\) | −9.92814 | − | 17.1960i | −0.444891 | − | 0.770573i | ||||
\(499\) | 15.7165 | + | 27.2218i | 0.703569 | + | 1.21862i | 0.967206 | + | 0.253995i | \(0.0817447\pi\) |
−0.263637 | + | 0.964622i | \(0.584922\pi\) | |||||||
\(500\) | −29.4491 | −1.31700 | ||||||||
\(501\) | 15.8811 | + | 27.5069i | 0.709516 | + | 1.22892i | ||||
\(502\) | 23.6787 | + | 41.0127i | 1.05683 | + | 1.83049i | ||||
\(503\) | −12.6344 | − | 21.8833i | −0.563338 | − | 0.975730i | −0.997202 | − | 0.0747517i | \(-0.976184\pi\) |
0.433864 | − | 0.900978i | \(-0.357150\pi\) | |||||||
\(504\) | −0.517739 | + | 0.896750i | −0.0230619 | + | 0.0399444i | ||||
\(505\) | 1.65107 | 0.0734714 | ||||||||
\(506\) | 3.40908 | − | 5.90471i | 0.151552 | − | 0.262496i | ||||
\(507\) | −8.24977 | − | 14.2890i | −0.366385 | − | 0.634598i | ||||
\(508\) | −2.52310 | −0.111945 | ||||||||
\(509\) | −4.33632 | − | 7.51073i | −0.192204 | − | 0.332907i | 0.753776 | − | 0.657131i | \(-0.228230\pi\) |
−0.945980 | + | 0.324224i | \(0.894897\pi\) | |||||||
\(510\) | 4.72981 | − | 8.19228i | 0.209440 | − | 0.362760i | ||||
\(511\) | −3.87754 | + | 6.71609i | −0.171532 | + | 0.297102i | ||||
\(512\) | −26.1645 | −1.15632 | ||||||||
\(513\) | 11.5809 | − | 20.0586i | 0.511307 | − | 0.885610i | ||||
\(514\) | 50.6526 | 2.23419 | ||||||||
\(515\) | 4.58662 | 0.202110 | ||||||||
\(516\) | 18.5351 | − | 28.8595i | 0.815962 | − | 1.27047i | ||||
\(517\) | 5.39664 | 0.237344 | ||||||||
\(518\) | 10.9361 | 0.480506 | ||||||||
\(519\) | −8.80068 | + | 15.2432i | −0.386307 | + | 0.669103i | ||||
\(520\) | −5.83042 | −0.255681 | ||||||||
\(521\) | −2.94764 | + | 5.10546i | −0.129138 | + | 0.223674i | −0.923343 | − | 0.383976i | \(-0.874554\pi\) |
0.794205 | + | 0.607650i | \(0.207888\pi\) | |||||||
\(522\) | −10.2558 | + | 17.7635i | −0.448884 | + | 0.777489i | ||||
\(523\) | 8.27920 | + | 14.3400i | 0.362024 | + | 0.627044i | 0.988294 | − | 0.152562i | \(-0.0487525\pi\) |
−0.626270 | + | 0.779606i | \(0.715419\pi\) | |||||||
\(524\) | −46.4096 | −2.02741 | ||||||||
\(525\) | 0.211823 | + | 0.366888i | 0.00924471 | + | 0.0160123i | ||||
\(526\) | 16.8628 | − | 29.2072i | 0.735252 | − | 1.27349i | ||||
\(527\) | −6.17689 | −0.269070 | ||||||||
\(528\) | −1.06476 | + | 1.84423i | −0.0463379 | + | 0.0802596i | ||||
\(529\) | −18.6485 | − | 32.3002i | −0.810805 | − | 1.40435i | ||||
\(530\) | −16.1664 | − | 28.0009i | −0.702222 | − | 1.21628i | ||||
\(531\) | 3.27348 | + | 5.66983i | 0.142057 | + | 0.246050i | ||||
\(532\) | 11.7133 | 0.507838 | ||||||||
\(533\) | 0.183031 | + | 0.317020i | 0.00792797 | + | 0.0137316i | ||||
\(534\) | −14.0154 | − | 24.2753i | −0.606504 | − | 1.05050i | ||||
\(535\) | −13.1599 | + | 22.7936i | −0.568953 | + | 0.985455i | ||||
\(536\) | −4.27812 | + | 7.40992i | −0.184787 | + | 0.320060i | ||||
\(537\) | 24.1165 | 1.04071 | ||||||||
\(538\) | −13.9337 | −0.600724 | ||||||||
\(539\) | 1.32490 | − | 2.29480i | 0.0570675 | − | 0.0988439i | ||||
\(540\) | −10.5042 | + | 18.1938i | −0.452028 | + | 0.782936i | ||||
\(541\) | −18.4545 | − | 31.9642i | −0.793422 | − | 1.37425i | −0.923836 | − | 0.382788i | \(-0.874964\pi\) |
0.130415 | − | 0.991460i | \(-0.458369\pi\) | |||||||
\(542\) | 0.282042 | + | 0.488511i | 0.0121147 | + | 0.0209834i | ||||
\(543\) | −43.0705 | −1.84833 | ||||||||
\(544\) | 3.93044 | + | 6.80772i | 0.168516 | + | 0.291878i | ||||
\(545\) | 5.20596 | + | 9.01698i | 0.222999 | + | 0.386245i | ||||
\(546\) | 3.57675 | + | 6.19511i | 0.153071 | + | 0.265126i | ||||
\(547\) | 5.07432 | − | 8.78898i | 0.216962 | − | 0.375790i | −0.736916 | − | 0.675985i | \(-0.763718\pi\) |
0.953878 | + | 0.300195i | \(0.0970518\pi\) | |||||||
\(548\) | 25.3110 | 1.08123 | ||||||||
\(549\) | −6.31915 | + | 10.9451i | −0.269695 | + | 0.467125i | ||||
\(550\) | −0.123021 | − | 0.213079i | −0.00524565 | − | 0.00908573i | ||||
\(551\) | 51.2640 | 2.18392 | ||||||||
\(552\) | −9.58877 | − | 16.6082i | −0.408125 | − | 0.706894i | ||||
\(553\) | −1.95891 | + | 3.39293i | −0.0833012 | + | 0.144282i | ||||
\(554\) | 10.7233 | − | 18.5733i | 0.455588 | − | 0.789102i | ||||
\(555\) | −30.5256 | −1.29574 | ||||||||
\(556\) | −11.2596 | + | 19.5022i | −0.477513 | + | 0.827077i | ||||
\(557\) | 16.3145 | 0.691266 | 0.345633 | − | 0.938370i | \(-0.387664\pi\) | ||||
0.345633 | + | 0.938370i | \(0.387664\pi\) | |||||||
\(558\) | −15.1969 | −0.643336 | ||||||||
\(559\) | −6.65639 | − | 12.9025i | −0.281535 | − | 0.545716i | ||||
\(560\) | 4.10095 | 0.173297 | ||||||||
\(561\) | 0.837111 | 0.0353429 | ||||||||
\(562\) | −16.2702 | + | 28.1808i | −0.686317 | + | 1.18874i | ||||
\(563\) | −25.4673 | −1.07332 | −0.536659 | − | 0.843799i | \(-0.680314\pi\) | ||||
−0.536659 | + | 0.843799i | \(0.680314\pi\) | |||||||
\(564\) | 34.3515 | − | 59.4985i | 1.44646 | − | 2.50534i | ||||
\(565\) | 5.38770 | − | 9.33176i | 0.226662 | − | 0.392590i | ||||
\(566\) | 4.71395 | + | 8.16480i | 0.198142 | + | 0.343192i | ||||
\(567\) | 8.25762 | 0.346787 | ||||||||
\(568\) | −7.90745 | − | 13.6961i | −0.331789 | − | 0.574676i | ||||
\(569\) | −6.59504 | + | 11.4229i | −0.276478 | + | 0.478874i | −0.970507 | − | 0.241073i | \(-0.922501\pi\) |
0.694029 | + | 0.719947i | \(0.255834\pi\) | |||||||
\(570\) | −58.1664 | −2.43632 | ||||||||
\(571\) | 0.847414 | − | 1.46776i | 0.0354632 | − | 0.0614240i | −0.847749 | − | 0.530397i | \(-0.822043\pi\) |
0.883212 | + | 0.468973i | \(0.155376\pi\) | |||||||
\(572\) | −1.16763 | − | 2.02240i | −0.0488211 | − | 0.0845606i | ||||
\(573\) | 12.1837 | + | 21.1028i | 0.508981 | + | 0.881582i | ||||
\(574\) | 0.131097 | + | 0.227067i | 0.00547188 | + | 0.00947757i | ||||
\(575\) | −2.17590 | −0.0907413 | ||||||||
\(576\) | 6.74138 | + | 11.6764i | 0.280891 | + | 0.486517i | ||||
\(577\) | 18.2496 | + | 31.6093i | 0.759741 | + | 1.31591i | 0.942982 | + | 0.332843i | \(0.108008\pi\) |
−0.183241 | + | 0.983068i | \(0.558659\pi\) | |||||||
\(578\) | 1.06855 | − | 1.85078i | 0.0444458 | − | 0.0769824i | ||||
\(579\) | 25.3927 | − | 43.9815i | 1.05529 | − | 1.82781i | ||||
\(580\) | −46.4980 | −1.93072 | ||||||||
\(581\) | −3.38383 | −0.140385 | ||||||||
\(582\) | −34.7285 | + | 60.1515i | −1.43954 | + | 2.49336i | ||||
\(583\) | 1.43061 | − | 2.47789i | 0.0592498 | − | 0.102624i | ||||
\(584\) | −6.33416 | − | 10.9711i | −0.262110 | − | 0.453987i | ||||
\(585\) | −2.76868 | − | 4.79549i | −0.114471 | − | 0.198269i | ||||
\(586\) | −29.1532 | −1.20431 | ||||||||
\(587\) | −7.84570 | − | 13.5892i | −0.323827 | − | 0.560884i | 0.657447 | − | 0.753500i | \(-0.271636\pi\) |
−0.981274 | + | 0.192616i | \(0.938303\pi\) | |||||||
\(588\) | −16.8669 | − | 29.2143i | −0.695579 | − | 1.20478i | ||||
\(589\) | 18.9906 | + | 32.8926i | 0.782493 | + | 1.35532i | ||||
\(590\) | −13.2019 | + | 22.8663i | −0.543512 | + | 0.941391i | ||||
\(591\) | 0.332570 | 0.0136801 | ||||||||
\(592\) | 8.77173 | − | 15.1931i | 0.360516 | − | 0.624432i | ||||
\(593\) | 18.3971 | + | 31.8647i | 0.755479 | + | 1.30853i | 0.945136 | + | 0.326677i | \(0.105929\pi\) |
−0.189657 | + | 0.981850i | \(0.560738\pi\) | |||||||
\(594\) | −3.30744 | −0.135706 | ||||||||
\(595\) | −0.806037 | − | 1.39610i | −0.0330443 | − | 0.0572344i | ||||
\(596\) | 8.20293 | − | 14.2079i | 0.336005 | − | 0.581978i | ||||
\(597\) | −26.1107 | + | 45.2251i | −1.06864 | + | 1.85094i | ||||
\(598\) | −36.7413 | −1.50246 | ||||||||
\(599\) | −6.99670 | + | 12.1186i | −0.285877 | + | 0.495154i | −0.972822 | − | 0.231556i | \(-0.925618\pi\) |
0.686944 | + | 0.726710i | \(0.258952\pi\) | |||||||
\(600\) | −0.692048 | −0.0282527 | ||||||||
\(601\) | 16.7169 | 0.681898 | 0.340949 | − | 0.940082i | \(-0.389252\pi\) | ||||
0.340949 | + | 0.940082i | \(0.389252\pi\) | |||||||
\(602\) | −4.76767 | − | 9.24144i | −0.194316 | − | 0.376653i | ||||
\(603\) | −8.12617 | −0.330923 | ||||||||
\(604\) | 48.2246 | 1.96223 | ||||||||
\(605\) | 11.7654 | − | 20.3783i | 0.478332 | − | 0.828496i | ||||
\(606\) | 3.30915 | 0.134425 | ||||||||
\(607\) | 5.43512 | − | 9.41390i | 0.220605 | − | 0.382098i | −0.734387 | − | 0.678731i | \(-0.762530\pi\) |
0.954992 | + | 0.296632i | \(0.0958636\pi\) | |||||||
\(608\) | 24.1679 | − | 41.8600i | 0.980138 | − | 1.69765i | ||||
\(609\) | 6.30226 | + | 10.9158i | 0.255380 | + | 0.442332i | ||||
\(610\) | −50.9700 | −2.06371 | ||||||||
\(611\) | −14.5405 | − | 25.1849i | −0.588246 | − | 1.01887i | ||||
\(612\) | 1.47771 | − | 2.55947i | 0.0597328 | − | 0.103460i | ||||
\(613\) | −1.76650 | −0.0713481 | −0.0356741 | − | 0.999363i | \(-0.511358\pi\) | ||||
−0.0356741 | + | 0.999363i | \(0.511358\pi\) | |||||||
\(614\) | 32.5650 | − | 56.4043i | 1.31422 | − | 2.27629i | ||||
\(615\) | −0.365926 | − | 0.633802i | −0.0147556 | − | 0.0255574i | ||||
\(616\) | −0.184776 | − | 0.320042i | −0.00744484 | − | 0.0128948i | ||||
\(617\) | −3.83331 | − | 6.63949i | −0.154323 | − | 0.267296i | 0.778489 | − | 0.627658i | \(-0.215986\pi\) |
−0.932812 | + | 0.360362i | \(0.882653\pi\) | |||||||
\(618\) | 9.19272 | 0.369785 | ||||||||
\(619\) | 4.82485 | + | 8.35689i | 0.193927 | + | 0.335892i | 0.946548 | − | 0.322562i | \(-0.104544\pi\) |
−0.752621 | + | 0.658454i | \(0.771211\pi\) | |||||||
\(620\) | −17.2250 | − | 29.8346i | −0.691774 | − | 1.19819i | ||||
\(621\) | −14.6248 | + | 25.3309i | −0.586873 | + | 1.01649i | ||||
\(622\) | −33.7005 | + | 58.3709i | −1.35127 | + | 2.34046i | ||||
\(623\) | −4.77689 | −0.191382 | ||||||||
\(624\) | 11.4755 | 0.459386 | ||||||||
\(625\) | 11.7602 | − | 20.3693i | 0.470408 | − | 0.814771i | ||||
\(626\) | 22.0595 | − | 38.2082i | 0.881675 | − | 1.52711i | ||||
\(627\) | −2.57366 | − | 4.45771i | −0.102782 | − | 0.178024i | ||||
\(628\) | −0.765489 | − | 1.32587i | −0.0305463 | − | 0.0529078i | ||||
\(629\) | −6.89628 | −0.274973 | ||||||||
\(630\) | −1.98308 | − | 3.43479i | −0.0790077 | − | 0.136845i | ||||
\(631\) | 3.35652 | + | 5.81366i | 0.133621 | + | 0.231438i | 0.925070 | − | 0.379797i | \(-0.124006\pi\) |
−0.791449 | + | 0.611235i | \(0.790673\pi\) | |||||||
\(632\) | −3.19998 | − | 5.54253i | −0.127288 | − | 0.220470i | ||||
\(633\) | −2.64806 | + | 4.58658i | −0.105251 | + | 0.182300i | ||||
\(634\) | 56.5149 | 2.24449 | ||||||||
\(635\) | 1.06760 | − | 1.84913i | 0.0423663 | − | 0.0733805i | ||||
\(636\) | −18.2126 | − | 31.5452i | −0.722179 | − | 1.25085i | ||||
\(637\) | −14.2791 | −0.565757 | ||||||||
\(638\) | −3.66019 | − | 6.33964i | −0.144908 | − | 0.250989i | ||||
\(639\) | 7.50999 | − | 13.0077i | 0.297091 | − | 0.514576i | ||||
\(640\) | −10.1100 | + | 17.5111i | −0.399634 | + | 0.692187i | ||||
\(641\) | −34.7821 | −1.37381 | −0.686906 | − | 0.726747i | \(-0.741031\pi\) | ||||
−0.686906 | + | 0.726747i | \(0.741031\pi\) | |||||||
\(642\) | −26.3757 | + | 45.6841i | −1.04097 | + | 1.80301i | ||||
\(643\) | −29.5284 | −1.16449 | −0.582243 | − | 0.813015i | \(-0.697825\pi\) | ||||
−0.582243 | + | 0.813015i | \(0.697825\pi\) | |||||||
\(644\) | −14.7921 | −0.582891 | ||||||||
\(645\) | 13.3078 | + | 25.7953i | 0.523994 | + | 1.01569i | ||||
\(646\) | −13.1408 | −0.517019 | ||||||||
\(647\) | −23.7946 | −0.935463 | −0.467731 | − | 0.883871i | \(-0.654929\pi\) | ||||
−0.467731 | + | 0.883871i | \(0.654929\pi\) | |||||||
\(648\) | −6.74463 | + | 11.6820i | −0.264954 | + | 0.458914i | ||||
\(649\) | −2.33655 | −0.0917175 | ||||||||
\(650\) | −0.662929 | + | 1.14823i | −0.0260022 | + | 0.0450372i | ||||
\(651\) | −4.66930 | + | 8.08746i | −0.183004 | + | 0.316973i | ||||
\(652\) | 9.11131 | + | 15.7813i | 0.356826 | + | 0.618042i | ||||
\(653\) | 38.0134 | 1.48758 | 0.743790 | − | 0.668414i | \(-0.233026\pi\) | ||||
0.743790 | + | 0.668414i | \(0.233026\pi\) | |||||||
\(654\) | 10.4340 | + | 18.0723i | 0.408003 | + | 0.706682i | ||||
\(655\) | 19.6372 | − | 34.0127i | 0.767290 | − | 1.32899i | ||||
\(656\) | 0.420605 | 0.0164219 | ||||||||
\(657\) | 6.01579 | − | 10.4196i | 0.234698 | − | 0.406509i | ||||
\(658\) | −10.4147 | − | 18.0388i | −0.406007 | − | 0.703225i | ||||
\(659\) | −12.1586 | − | 21.0593i | −0.473632 | − | 0.820355i | 0.525912 | − | 0.850539i | \(-0.323724\pi\) |
−0.999544 | + | 0.0301840i | \(0.990391\pi\) | |||||||
\(660\) | 2.33439 | + | 4.04328i | 0.0908660 | + | 0.157384i | ||||
\(661\) | 18.2380 | 0.709377 | 0.354688 | − | 0.934985i | \(-0.384587\pi\) | ||||
0.354688 | + | 0.934985i | \(0.384587\pi\) | |||||||
\(662\) | 2.29844 | + | 3.98102i | 0.0893315 | + | 0.154727i | ||||
\(663\) | −2.25548 | − | 3.90661i | −0.0875957 | − | 0.151720i | ||||
\(664\) | 2.76384 | − | 4.78710i | 0.107258 | − | 0.185776i | ||||
\(665\) | −4.95625 | + | 8.58447i | −0.192195 | + | 0.332892i | ||||
\(666\) | −16.9668 | −0.657450 | ||||||||
\(667\) | −64.7384 | −2.50668 | ||||||||
\(668\) | −20.0102 | + | 34.6587i | −0.774218 | + | 1.34099i | ||||
\(669\) | −17.1385 | + | 29.6847i | −0.662611 | + | 1.14768i | ||||
\(670\) | −16.3863 | − | 28.3820i | −0.633059 | − | 1.09649i | ||||
\(671\) | −2.25524 | − | 3.90620i | −0.0870628 | − | 0.150797i | ||||
\(672\) | 11.8845 | 0.458456 | ||||||||
\(673\) | −19.9056 | − | 34.4774i | −0.767303 | − | 1.32901i | −0.939020 | − | 0.343861i | \(-0.888265\pi\) |
0.171717 | − | 0.985146i | \(-0.445068\pi\) | |||||||
\(674\) | −17.4903 | − | 30.2941i | −0.673700 | − | 1.16688i | ||||
\(675\) | 0.527756 | + | 0.914100i | 0.0203133 | + | 0.0351837i | ||||
\(676\) | 10.3947 | − | 18.0042i | 0.399797 | − | 0.692468i | ||||
\(677\) | 0.379845 | 0.0145986 | 0.00729931 | − | 0.999973i | \(-0.497677\pi\) | ||||
0.00729931 | + | 0.999973i | \(0.497677\pi\) | |||||||
\(678\) | 10.7983 | − | 18.7032i | 0.414706 | − | 0.718291i | ||||
\(679\) | 5.91830 | + | 10.2508i | 0.227123 | + | 0.393389i | ||||
\(680\) | 2.63341 | 0.100987 | ||||||||
\(681\) | −13.1564 | − | 22.7875i | −0.504154 | − | 0.873220i | ||||
\(682\) | 2.71181 | − | 4.69700i | 0.103841 | − | 0.179857i | ||||
\(683\) | 18.0737 | − | 31.3045i | 0.691569 | − | 1.19783i | −0.279754 | − | 0.960072i | \(-0.590253\pi\) |
0.971324 | − | 0.237761i | \(-0.0764137\pi\) | |||||||
\(684\) | −18.1726 | −0.694847 | ||||||||
\(685\) | −10.7098 | + | 18.5499i | −0.409201 | + | 0.708756i | ||||
\(686\) | −21.3280 | −0.814308 | ||||||||
\(687\) | 4.41114 | 0.168295 | ||||||||
\(688\) | −16.6628 | − | 0.788931i | −0.635264 | − | 0.0300777i | ||||
\(689\) | −15.4183 | −0.587392 | ||||||||
\(690\) | 73.4551 | 2.79639 | ||||||||
\(691\) | 16.1502 | − | 27.9730i | 0.614383 | − | 1.06414i | −0.376109 | − | 0.926575i | \(-0.622738\pi\) |
0.990492 | − | 0.137568i | \(-0.0439284\pi\) | |||||||
\(692\) | −22.1777 | −0.843070 | ||||||||
\(693\) | 0.175489 | − | 0.303955i | 0.00666626 | − | 0.0115463i | ||||
\(694\) | −38.7620 | + | 67.1378i | −1.47139 | + | 2.54852i | ||||
\(695\) | −9.52851 | − | 16.5039i | −0.361437 | − | 0.626027i | ||||
\(696\) | −20.5901 | −0.780467 | ||||||||
\(697\) | −0.0826692 | − | 0.143187i | −0.00313132 | − | 0.00542361i | ||||
\(698\) | 4.26639 | − | 7.38960i | 0.161485 | − | 0.279701i | ||||
\(699\) | −0.434196 | −0.0164228 | ||||||||
\(700\) | −0.266897 | + | 0.462279i | −0.0100878 | + | 0.0174725i | ||||
\(701\) | 22.7636 | + | 39.4277i | 0.859769 | + | 1.48916i | 0.872149 | + | 0.489240i | \(0.162726\pi\) |
−0.0123799 | + | 0.999923i | \(0.503941\pi\) | |||||||
\(702\) | 8.91146 | + | 15.4351i | 0.336341 | + | 0.582560i | ||||
\(703\) | 21.2023 | + | 36.7235i | 0.799661 | + | 1.38505i | ||||
\(704\) | −4.81187 | −0.181354 | ||||||||
\(705\) | 29.0702 | + | 50.3510i | 1.09485 | + | 1.89633i | ||||
\(706\) | 26.0846 | + | 45.1799i | 0.981707 | + | 1.70037i | ||||
\(707\) | 0.281966 | − | 0.488380i | 0.0106044 | − | 0.0183674i | ||||
\(708\) | −14.8729 | + | 25.7607i | −0.558959 | + | 0.968145i | ||||
\(709\) | 25.3863 | 0.953401 | 0.476700 | − | 0.879066i | \(-0.341833\pi\) | ||||
0.476700 | + | 0.879066i | \(0.341833\pi\) | |||||||
\(710\) | 60.5753 | 2.27335 | ||||||||
\(711\) | 3.03914 | − | 5.26394i | 0.113977 | − | 0.197413i | ||||
\(712\) | 3.90165 | − | 6.75785i | 0.146220 | − | 0.253261i | ||||
\(713\) | −23.9821 | − | 41.5383i | −0.898138 | − | 1.55562i | ||||
\(714\) | −1.61550 | − | 2.79813i | −0.0604585 | − | 0.104717i | ||||
\(715\) | 1.97623 | 0.0739069 | ||||||||
\(716\) | 15.1934 | + | 26.3158i | 0.567805 | + | 0.983467i | ||||
\(717\) | 4.89642 | + | 8.48085i | 0.182860 | + | 0.316723i | ||||
\(718\) | −12.4424 | − | 21.5509i | −0.464347 | − | 0.804273i | ||||
\(719\) | 21.3640 | − | 37.0036i | 0.796743 | − | 1.38000i | −0.124983 | − | 0.992159i | \(-0.539888\pi\) |
0.921726 | − | 0.387841i | \(-0.126779\pi\) | |||||||
\(720\) | −6.36240 | −0.237113 | ||||||||
\(721\) | 0.783294 | − | 1.35671i | 0.0291714 | − | 0.0505264i | ||||
\(722\) | 20.0985 | + | 34.8116i | 0.747988 | + | 1.29555i | ||||
\(723\) | −8.01288 | −0.298002 | ||||||||
\(724\) | −27.1344 | − | 46.9982i | −1.00844 | − | 1.74667i | ||||
\(725\) | −1.16809 | + | 2.02319i | −0.0433817 | + | 0.0751392i | ||||
\(726\) | 23.5808 | − | 40.8432i | 0.875167 | − | 1.51583i | ||||
\(727\) | 18.7465 | 0.695269 | 0.347635 | − | 0.937630i | \(-0.386985\pi\) | ||||
0.347635 | + | 0.937630i | \(0.386985\pi\) | |||||||
\(728\) | −0.995709 | + | 1.72462i | −0.0369034 | + | 0.0639186i | ||||
\(729\) | 10.2128 | 0.378252 | ||||||||
\(730\) | 48.5231 | 1.79592 | ||||||||
\(731\) | 3.00647 | + | 5.82762i | 0.111198 | + | 0.215542i | ||||
\(732\) | −57.4216 | −2.12236 | ||||||||
\(733\) | 35.7943 | 1.32209 | 0.661046 | − | 0.750346i | \(-0.270113\pi\) | ||||
0.661046 | + | 0.750346i | \(0.270113\pi\) | |||||||
\(734\) | −23.6554 | + | 40.9724i | −0.873138 | + | 1.51232i | ||||
\(735\) | 28.5475 | 1.05299 | ||||||||
\(736\) | −30.5203 | + | 52.8627i | −1.12499 | + | 1.94854i | ||||
\(737\) | 1.45008 | − | 2.51161i | 0.0534143 | − | 0.0925162i | ||||
\(738\) | −0.203390 | − | 0.352281i | −0.00748687 | − | 0.0129676i | ||||
\(739\) | 22.7446 | 0.836673 | 0.418336 | − | 0.908292i | \(-0.362613\pi\) | ||||
0.418336 | + | 0.908292i | \(0.362613\pi\) | |||||||
\(740\) | −19.2311 | − | 33.3093i | −0.706951 | − | 1.22447i | ||||
\(741\) | −13.8688 | + | 24.0214i | −0.509482 | + | 0.882449i | ||||
\(742\) | −11.0434 | −0.405418 | ||||||||
\(743\) | −6.19025 | + | 10.7218i | −0.227098 | + | 0.393346i | −0.956947 | − | 0.290263i | \(-0.906257\pi\) |
0.729849 | + | 0.683609i | \(0.239590\pi\) | |||||||
\(744\) | −7.62755 | − | 13.2113i | −0.279640 | − | 0.484350i | ||||
\(745\) | 6.94179 | + | 12.0235i | 0.254327 | + | 0.440508i | ||||
\(746\) | −24.9507 | − | 43.2159i | −0.913511 | − | 1.58225i | ||||
\(747\) | 5.24983 | 0.192081 | ||||||||
\(748\) | 0.527380 | + | 0.913449i | 0.0192829 | + | 0.0333990i | ||||
\(749\) | 4.49485 | + | 7.78531i | 0.164238 | + | 0.284469i | ||||
\(750\) | 24.9744 | − | 43.2570i | 0.911937 | − | 1.57952i | ||||
\(751\) | −15.1276 | + | 26.2017i | −0.552013 | + | 0.956114i | 0.446117 | + | 0.894975i | \(0.352807\pi\) |
−0.998129 | + | 0.0611390i | \(0.980527\pi\) | |||||||
\(752\) | −33.4140 | −1.21848 | ||||||||
\(753\) | −45.1493 | −1.64533 | ||||||||
\(754\) | −19.7238 | + | 34.1626i | −0.718299 | + | 1.24413i | ||||
\(755\) | −20.4052 | + | 35.3429i | −0.742622 | + | 1.28626i | ||||
\(756\) | 3.58777 | + | 6.21420i | 0.130486 | + | 0.226008i | ||||
\(757\) | −27.1446 | − | 47.0159i | −0.986589 | − | 1.70882i | −0.634650 | − | 0.772799i | \(-0.718856\pi\) |
−0.351939 | − | 0.936023i | \(-0.614477\pi\) | |||||||
\(758\) | 5.28256 | 0.191871 | ||||||||
\(759\) | 3.25013 | + | 5.62939i | 0.117972 | + | 0.204334i | ||||
\(760\) | −8.09630 | − | 14.0232i | −0.293684 | − | 0.508675i | ||||
\(761\) | 12.9279 | + | 22.3918i | 0.468636 | + | 0.811701i | 0.999357 | − | 0.0358451i | \(-0.0114123\pi\) |
−0.530721 | + | 0.847546i | \(0.678079\pi\) | |||||||
\(762\) | 2.13973 | − | 3.70612i | 0.0775142 | − | 0.134259i | ||||
\(763\) | 3.55626 | 0.128745 | ||||||||
\(764\) | −15.3515 | + | 26.5895i | −0.555397 | + | 0.961975i | ||||
\(765\) | 1.25052 | + | 2.16597i | 0.0452127 | + | 0.0783107i | ||||
\(766\) | 56.8308 | 2.05338 | ||||||||
\(767\) | 6.29551 | + | 10.9041i | 0.227318 | + | 0.393726i | ||||
\(768\) | 3.59897 | − | 6.23360i | 0.129867 | − | 0.224936i | ||||
\(769\) | 17.1596 | − | 29.7214i | 0.618792 | − | 1.07178i | −0.370914 | − | 0.928667i | \(-0.620956\pi\) |
0.989706 | − | 0.143112i | \(-0.0457110\pi\) | |||||||
\(770\) | 1.41548 | 0.0510105 | ||||||||
\(771\) | −24.1455 | + | 41.8212i | −0.869577 | + | 1.50615i | ||||
\(772\) | 63.9897 | 2.30304 | ||||||||
\(773\) | 7.03888 | 0.253171 | 0.126585 | − | 0.991956i | \(-0.459598\pi\) | ||||
0.126585 | + | 0.991956i | \(0.459598\pi\) | |||||||
\(774\) | 7.39677 | + | 14.3376i | 0.265871 | + | 0.515354i | ||||
\(775\) | −1.73086 | −0.0621742 | ||||||||
\(776\) | −19.3357 | −0.694112 | ||||||||
\(777\) | −5.21311 | + | 9.02937i | −0.187019 | + | 0.323927i | ||||
\(778\) | −12.3322 | −0.442130 | ||||||||
\(779\) | −0.508326 | + | 0.880446i | −0.0182127 | + | 0.0315453i | ||||
\(780\) | 12.5794 | − | 21.7881i | 0.450415 | − | 0.780141i | ||||
\(781\) | 2.68024 | + | 4.64232i | 0.0959067 | + | 0.166115i | ||||
\(782\) | 16.5948 | 0.593430 | ||||||||
\(783\) | 15.7021 | + | 27.1968i | 0.561146 | + | 0.971933i | ||||
\(784\) | −8.20330 | + | 14.2085i | −0.292975 | + | 0.507447i | ||||
\(785\) | 1.29560 | 0.0462420 | ||||||||
\(786\) | 39.3579 | − | 68.1699i | 1.40385 | − | 2.43154i | ||||
\(787\) | 0.790929 | + | 1.36993i | 0.0281936 | + | 0.0488327i | 0.879778 | − | 0.475385i | \(-0.157691\pi\) |
−0.851584 | + | 0.524218i | \(0.824358\pi\) | |||||||
\(788\) | 0.209519 | + | 0.362898i | 0.00746381 | + | 0.0129277i | ||||
\(789\) | 16.0765 | + | 27.8454i | 0.572340 | + | 0.991322i | ||||
\(790\) | 24.5135 | 0.872153 | ||||||||
\(791\) | −1.84020 | − | 3.18732i | −0.0654301 | − | 0.113328i | ||||
\(792\) | 0.286670 | + | 0.496527i | 0.0101864 | + | 0.0176433i | ||||
\(793\) | −12.1529 | + | 21.0495i | −0.431562 | + | 0.747488i | ||||
\(794\) | −13.3163 | + | 23.0645i | −0.472577 | + | 0.818528i | ||||
\(795\) | 30.8252 | 1.09326 | ||||||||
\(796\) | −65.7991 | −2.33219 | ||||||||
\(797\) | 2.43784 | − | 4.22246i | 0.0863526 | − | 0.149567i | −0.819614 | − | 0.572916i | \(-0.805812\pi\) |
0.905967 | + | 0.423349i | \(0.139145\pi\) | |||||||
\(798\) | −9.93356 | + | 17.2054i | −0.351644 | + | 0.609066i | ||||
\(799\) | 6.56747 | + | 11.3752i | 0.232340 | + | 0.402425i | ||||
\(800\) | 1.10137 | + | 1.90762i | 0.0389392 | + | 0.0674446i | ||||
\(801\) | 7.41107 | 0.261857 | ||||||||
\(802\) | 29.1439 | + | 50.4787i | 1.02911 | + | 1.78247i | ||||
\(803\) | 2.14698 | + | 3.71867i | 0.0757652 | + | 0.131229i | ||||
\(804\) | −18.4605 | − | 31.9745i | −0.651051 | − | 1.12765i | ||||
\(805\) | 6.25897 | − | 10.8409i | 0.220600 | − | 0.382090i | ||||
\(806\) | −29.2265 | −1.02946 | ||||||||
\(807\) | 6.64201 | − | 11.5043i | 0.233810 | − | 0.404970i | ||||
\(808\) | 0.460607 | + | 0.797794i | 0.0162041 | + | 0.0280663i | ||||
\(809\) | −3.75745 | −0.132105 | −0.0660524 | − | 0.997816i | \(-0.521040\pi\) | ||||
−0.0660524 | + | 0.997816i | \(0.521040\pi\) | |||||||
\(810\) | −25.8337 | − | 44.7453i | −0.907704 | − | 1.57219i | ||||
\(811\) | −18.9352 | + | 32.7967i | −0.664905 | + | 1.15165i | 0.314406 | + | 0.949289i | \(0.398195\pi\) |
−0.979311 | + | 0.202361i | \(0.935139\pi\) | |||||||
\(812\) | −7.94085 | + | 13.7539i | −0.278669 | + | 0.482669i | ||||
\(813\) | −0.537783 | −0.0188609 | ||||||||
\(814\) | 3.02765 | − | 5.24404i | 0.106119 | − | 0.183803i | ||||
\(815\) | −15.4210 | −0.540175 | ||||||||
\(816\) | −5.18308 | −0.181444 | ||||||||
\(817\) | 21.7895 | − | 33.9266i | 0.762317 | − | 1.18694i | ||||
\(818\) | 55.3814 | 1.93637 | ||||||||
\(819\) | −1.89132 | −0.0660881 | ||||||||
\(820\) | 0.461067 | − | 0.798591i | 0.0161012 | − | 0.0278880i | ||||
\(821\) | 27.3911 | 0.955957 | 0.477978 | − | 0.878372i | \(-0.341370\pi\) | ||||
0.477978 | + | 0.878372i | \(0.341370\pi\) | |||||||
\(822\) | −21.4651 | + | 37.1787i | −0.748682 | + | 1.29676i | ||||
\(823\) | −12.0640 | + | 20.8955i | −0.420526 | + | 0.728372i | −0.995991 | − | 0.0894540i | \(-0.971488\pi\) |
0.575465 | + | 0.817826i | \(0.304821\pi\) | |||||||
\(824\) | 1.27955 | + | 2.21625i | 0.0445753 | + | 0.0772067i | ||||
\(825\) | 0.234571 | 0.00816671 | ||||||||
\(826\) | 4.50918 | + | 7.81014i | 0.156895 | + | 0.271749i | ||||
\(827\) | 2.38015 | − | 4.12254i | 0.0827659 | − | 0.143355i | −0.821671 | − | 0.569962i | \(-0.806958\pi\) |
0.904437 | + | 0.426607i | \(0.140291\pi\) | |||||||
\(828\) | 22.9492 | 0.797538 | ||||||||
\(829\) | 18.3852 | − | 31.8440i | 0.638543 | − | 1.10599i | −0.347210 | − | 0.937787i | \(-0.612871\pi\) |
0.985753 | − | 0.168201i | \(-0.0537958\pi\) | |||||||
\(830\) | 10.5862 | + | 18.3359i | 0.367453 | + | 0.636448i | ||||
\(831\) | 10.2233 | + | 17.7073i | 0.354642 | + | 0.614258i | ||||
\(832\) | 12.9649 | + | 22.4559i | 0.449478 | + | 0.778519i | ||||
\(833\) | 6.44939 | 0.223458 | ||||||||
\(834\) | −19.0975 | − | 33.0779i | −0.661293 | − | 1.14539i | ||||
\(835\) | −16.9338 | − | 29.3302i | −0.586018 | − | 1.01501i | ||||
\(836\) | 3.24282 | − | 5.61672i | 0.112155 | − | 0.194258i | ||||
\(837\) | −11.6335 | + | 20.1499i | −0.402114 | + | 0.696482i | ||||
\(838\) | 3.56597 | 0.123184 | ||||||||
\(839\) | −4.26691 | −0.147310 | −0.0736551 | − | 0.997284i | \(-0.523466\pi\) | ||||
−0.0736551 | + | 0.997284i | \(0.523466\pi\) | |||||||
\(840\) | 1.99067 | − | 3.44795i | 0.0686847 | − | 0.118965i | ||||
\(841\) | −20.2535 | + | 35.0801i | −0.698397 | + | 1.20966i | ||||
\(842\) | 17.1826 | + | 29.7611i | 0.592151 | + | 1.02564i | ||||
\(843\) | −15.5116 | − | 26.8669i | −0.534248 | − | 0.925344i | ||||
\(844\) | −6.67312 | −0.229698 | ||||||||
\(845\) | 8.79660 | + | 15.2362i | 0.302612 | + | 0.524140i | ||||
\(846\) | 16.1578 | + | 27.9862i | 0.555518 | + | 0.962185i | ||||
\(847\) | −4.01856 | − | 6.96034i | −0.138079 | − | 0.239160i | ||||
\(848\) | −8.85781 | + | 15.3422i | −0.304178 | + | 0.526853i | ||||
\(849\) | −8.98832 | −0.308478 | ||||||||
\(850\) | 0.299423 | − | 0.518616i | 0.0102701 | − | 0.0177884i | ||||
\(851\) | −26.7752 | − | 46.3760i | −0.917843 | − | 1.58975i | ||||
\(852\) | 68.2427 | 2.33796 | ||||||||
\(853\) | 14.9197 | + | 25.8417i | 0.510841 | + | 0.884802i | 0.999921 | + | 0.0125633i | \(0.00399912\pi\) |
−0.489080 | + | 0.872239i | \(0.662668\pi\) | |||||||
\(854\) | −8.70457 | + | 15.0767i | −0.297864 | + | 0.515916i | ||||
\(855\) | 7.68935 | − | 13.3183i | 0.262970 | − | 0.455478i | ||||
\(856\) | −14.6852 | −0.501929 | ||||||||
\(857\) | 15.6737 | − | 27.1477i | 0.535404 | − | 0.927347i | −0.463740 | − | 0.885972i | \(-0.653493\pi\) |
0.999144 | − | 0.0413756i | \(-0.0131740\pi\) | |||||||
\(858\) | 3.96086 | 0.135222 | ||||||||
\(859\) | −4.01515 | −0.136995 | −0.0684976 | − | 0.997651i | \(-0.521821\pi\) | ||||
−0.0684976 | + | 0.997651i | \(0.521821\pi\) | |||||||
\(860\) | −19.7637 | + | 30.7724i | −0.673936 | + | 1.04933i | ||||
\(861\) | −0.249969 | −0.00851891 | ||||||||
\(862\) | 69.2431 | 2.35843 | ||||||||
\(863\) | −11.6656 | + | 20.2055i | −0.397103 | + | 0.687803i | −0.993367 | − | 0.114985i | \(-0.963318\pi\) |
0.596264 | + | 0.802788i | \(0.296651\pi\) | |||||||
\(864\) | 29.6103 | 1.00736 | ||||||||
\(865\) | 9.38402 | − | 16.2536i | 0.319066 | − | 0.552639i | ||||
\(866\) | −5.50715 | + | 9.53867i | −0.187141 | + | 0.324137i | ||||
\(867\) | 1.01873 | + | 1.76449i | 0.0345978 | + | 0.0599252i | ||||
\(868\) | −11.7666 | −0.399386 | ||||||||
\(869\) | 1.08464 | + | 1.87865i | 0.0367939 | + | 0.0637289i | ||||
\(870\) | 39.4329 | − | 68.2997i | 1.33690 | − | 2.31558i | ||||
\(871\) | −15.6281 | −0.529540 | ||||||||
\(872\) | −2.90467 | + | 5.03103i | −0.0983645 | + | 0.170372i | ||||
\(873\) | −9.18191 | − | 15.9035i | −0.310761 | − | 0.538253i | ||||
\(874\) | −51.0201 | − | 88.3693i | −1.72578 | − | 2.98914i | ||||
\(875\) | −4.25605 | − | 7.37169i | −0.143881 | − | 0.249209i | ||||
\(876\) | 54.6650 | 1.84696 | ||||||||
\(877\) | 1.43536 | + | 2.48612i | 0.0484688 | + | 0.0839504i | 0.889242 | − | 0.457437i | \(-0.151233\pi\) |
−0.840773 | + | 0.541388i | \(0.817899\pi\) | |||||||
\(878\) | 5.09589 | + | 8.82634i | 0.171978 | + | 0.297874i | ||||
\(879\) | 13.8970 | − | 24.0702i | 0.468733 | − | 0.811869i | ||||
\(880\) | 1.13534 | − | 1.96647i | 0.0382723 | − | 0.0662896i | ||||
\(881\) | −1.81245 | −0.0610630 | −0.0305315 | − | 0.999534i | \(-0.509720\pi\) | ||||
−0.0305315 | + | 0.999534i | \(0.509720\pi\) | |||||||
\(882\) | 15.8673 | 0.534280 | ||||||||
\(883\) | 15.6327 | − | 27.0767i | 0.526083 | − | 0.911203i | −0.473455 | − | 0.880818i | \(-0.656993\pi\) |
0.999538 | − | 0.0303850i | \(-0.00967335\pi\) | |||||||
\(884\) | 2.84191 | − | 4.92233i | 0.0955838 | − | 0.165556i | ||||
\(885\) | −12.5863 | − | 21.8001i | −0.423085 | − | 0.732804i | ||||
\(886\) | −1.24027 | − | 2.14821i | −0.0416676 | − | 0.0721705i | ||||
\(887\) | 21.3474 | 0.716776 | 0.358388 | − | 0.933573i | \(-0.383327\pi\) | ||||
0.358388 | + | 0.933573i | \(0.383327\pi\) | |||||||
\(888\) | −8.51589 | − | 14.7500i | −0.285775 | − | 0.494976i | ||||
\(889\) | −0.364644 | − | 0.631583i | −0.0122298 | − | 0.0211826i | ||||
\(890\) | 14.9444 | + | 25.8844i | 0.500936 | + | 0.867646i | ||||
\(891\) | 2.28610 | − | 3.95965i | 0.0765874 | − | 0.132653i | ||||
\(892\) | −43.1889 | −1.44607 | ||||||||
\(893\) | 40.3828 | − | 69.9451i | 1.35136 | − | 2.34062i | ||||
\(894\) | 13.9131 | + | 24.0981i | 0.465323 | + | 0.805962i | ||||
\(895\) | −25.7151 | −0.859561 | ||||||||
\(896\) | 3.45315 | + | 5.98103i | 0.115362 | + | 0.199812i | ||||
\(897\) | 17.5141 | − | 30.3353i | 0.584779 | − | 1.01287i | ||||
\(898\) | 17.6603 | − | 30.5885i | 0.589332 | − | 1.02075i | ||||
\(899\) | −51.4973 | −1.71753 | ||||||||
\(900\) | 0.414076 | − | 0.717200i | 0.0138025 | − | 0.0239067i | ||||
\(901\) | 6.96396 | 0.232003 | ||||||||
\(902\) | 0.145176 | 0.00483382 | ||||||||
\(903\) | 9.90284 | + | 0.468868i | 0.329546 | + | 0.0156030i | ||||
\(904\) | 6.01214 | 0.199961 | ||||||||
\(905\) | 45.9254 | 1.52661 | ||||||||
\(906\) | −40.8971 | + | 70.8359i | −1.35872 | + | 2.35337i | ||||
\(907\) | 19.3437 | 0.642297 | 0.321148 | − | 0.947029i | \(-0.395931\pi\) | ||||
0.321148 | + | 0.947029i | \(0.395931\pi\) | |||||||
\(908\) | 16.5770 | − | 28.7123i | 0.550129 | − | 0.952851i | ||||
\(909\) | −0.437455 | + | 0.757694i | −0.0145095 | + | 0.0251311i | ||||
\(910\) | −3.81383 | − | 6.60575i | −0.126427 | − | 0.218978i | ||||
\(911\) | −20.0176 | −0.663212 | −0.331606 | − | 0.943418i | \(-0.607590\pi\) | ||||
−0.331606 | + | 0.943418i | \(0.607590\pi\) | |||||||
\(912\) | 15.9352 | + | 27.6005i | 0.527666 | + | 0.913944i | ||||
\(913\) | −0.936807 | + | 1.62260i | −0.0310038 | + | 0.0537002i | ||||
\(914\) | −63.4283 | −2.09802 | ||||||||
\(915\) | 24.2967 | − | 42.0832i | 0.803225 | − | 1.39123i | ||||
\(916\) | 2.77902 | + | 4.81340i | 0.0918213 | + | 0.159039i | ||||
\(917\) | −6.70723 | − | 11.6173i | −0.221492 | − | 0.383636i | ||||
\(918\) | −4.02501 | − | 6.97152i | −0.132845 | − | 0.230095i | ||||
\(919\) | 15.3969 | 0.507898 | 0.253949 | − | 0.967218i | \(-0.418270\pi\) | ||||
0.253949 | + | 0.967218i | \(0.418270\pi\) | |||||||
\(920\) | 10.2244 | + | 17.7091i | 0.337087 | + | 0.583852i | ||||
\(921\) | 31.0466 | + | 53.7744i | 1.02302 | + | 1.77193i | ||||
\(922\) | −13.0121 | + | 22.5376i | −0.428531 | + | 0.742238i | ||||
\(923\) | 14.4431 | − | 25.0162i | 0.475401 | − | 0.823419i | ||||
\(924\) | 1.59465 | 0.0524602 | ||||||||
\(925\) | −1.93244 | −0.0635382 | ||||||||
\(926\) | −35.5360 | + | 61.5501i | −1.16778 | + | 2.02266i | ||||
\(927\) | −1.21524 | + | 2.10485i | −0.0399136 | + | 0.0691325i | ||||
\(928\) | 32.7684 | + | 56.7565i | 1.07567 | + | 1.86312i | ||||
\(929\) | −28.4294 | − | 49.2411i | −0.932738 | − | 1.61555i | −0.778619 | − | 0.627497i | \(-0.784080\pi\) |
−0.154118 | − | 0.988052i | \(-0.549254\pi\) | |||||||
\(930\) | 58.4311 | 1.91603 | ||||||||
\(931\) | −19.8284 | − | 34.3437i | −0.649848 | − | 1.12557i | ||||
\(932\) | −0.273544 | − | 0.473791i | −0.00896022 | − | 0.0155195i | ||||
\(933\) | −32.1291 | − | 55.6493i | −1.05186 | − | 1.82188i | ||||
\(934\) | 27.3122 | − | 47.3062i | 0.893683 | − | 1.54790i | ||||
\(935\) | −0.892599 | −0.0291911 | ||||||||
\(936\) | 1.54479 | − | 2.67565i | 0.0504929 | − | 0.0874563i | ||||
\(937\) | −2.32038 | − | 4.01902i | −0.0758036 | − | 0.131296i | 0.825632 | − | 0.564209i | \(-0.190819\pi\) |
−0.901435 | + | 0.432914i | \(0.857486\pi\) | |||||||
\(938\) | −11.1937 | −0.365488 | ||||||||
\(939\) | 21.0310 | + | 36.4267i | 0.686319 | + | 1.18874i | ||||
\(940\) | −36.6284 | + | 63.4423i | −1.19469 | + | 2.06926i | ||||
\(941\) | −4.76857 | + | 8.25940i | −0.155451 | + | 0.269249i | −0.933223 | − | 0.359297i | \(-0.883016\pi\) |
0.777772 | + | 0.628546i | \(0.216350\pi\) | |||||||
\(942\) | 2.59671 | 0.0846053 | ||||||||
\(943\) | 0.641936 | − | 1.11187i | 0.0209043 | − | 0.0362073i | ||||
\(944\) | 14.4670 | 0.470862 | ||||||||
\(945\) | −6.07235 | −0.197534 | ||||||||
\(946\) | −5.75132 | − | 0.272307i | −0.186992 | − | 0.00885347i | ||||
\(947\) | 14.5134 | 0.471622 | 0.235811 | − | 0.971799i | \(-0.424225\pi\) | ||||
0.235811 | + | 0.971799i | \(0.424225\pi\) | |||||||
\(948\) | 27.6164 | 0.896939 | ||||||||
\(949\) | 11.5695 | − | 20.0389i | 0.375561 | − | 0.650491i | ||||
\(950\) | −3.68226 | −0.119468 | ||||||||
\(951\) | −26.9399 | + | 46.6613i | −0.873587 | + | 1.51310i | ||||
\(952\) | 0.449729 | − | 0.778953i | 0.0145758 | − | 0.0252460i | ||||
\(953\) | −8.47760 | − | 14.6836i | −0.274616 | − | 0.475650i | 0.695422 | − | 0.718602i | \(-0.255218\pi\) |
−0.970038 | + | 0.242952i | \(0.921884\pi\) | |||||||
\(954\) | 17.1333 | 0.554711 | ||||||||
\(955\) | −12.9913 | − | 22.5016i | −0.420388 | − | 0.728134i | ||||
\(956\) | −6.16949 | + | 10.6859i | −0.199536 | + | 0.345606i | ||||
\(957\) | 6.97907 | 0.225601 | ||||||||
\(958\) | −22.5105 | + | 38.9894i | −0.727283 | + | 1.25969i | ||||
\(959\) | 3.65800 | + | 6.33585i | 0.118123 | + | 0.204595i | ||||
\(960\) | −25.9202 | − | 44.8951i | −0.836570 | − | 1.44898i | ||||
\(961\) | −3.57699 | − | 6.19553i | −0.115387 | − | 0.199856i | ||||
\(962\) | −32.6303 | −1.05204 | ||||||||
\(963\) | −6.97352 | − | 12.0785i | −0.224718 | − | 0.389224i | ||||
\(964\) | −5.04811 | − | 8.74359i | −0.162589 | − | 0.281612i | ||||
\(965\) | −27.0759 | + | 46.8968i | −0.871604 | + | 1.50966i | ||||
\(966\) | 12.5445 | − | 21.7278i | 0.403614 | − | 0.699079i | ||||
\(967\) | −34.9267 | −1.12317 | −0.561584 | − | 0.827420i | \(-0.689808\pi\) | ||||
−0.561584 | + | 0.827420i | \(0.689808\pi\) | |||||||
\(968\) | 13.1290 | 0.421984 | ||||||||
\(969\) | 6.26407 | − | 10.8497i | 0.201231 | − | 0.348542i | ||||
\(970\) | 37.0305 | − | 64.1386i | 1.18898 | − | 2.05937i | ||||
\(971\) | −6.01689 | − | 10.4216i | −0.193091 | − | 0.334444i | 0.753182 | − | 0.657812i | \(-0.228518\pi\) |
−0.946273 | + | 0.323368i | \(0.895185\pi\) | |||||||
\(972\) | −14.5985 | − | 25.2854i | −0.468248 | − | 0.811029i | ||||
\(973\) | −6.50905 | −0.208671 | ||||||||
\(974\) | 0.416287 | + | 0.721031i | 0.0133387 | + | 0.0231033i | ||||
\(975\) | −0.632020 | − | 1.09469i | −0.0202408 | − | 0.0350581i | ||||
\(976\) | 13.9636 | + | 24.1857i | 0.446965 | + | 0.774167i | ||||
\(977\) | −10.8517 | + | 18.7956i | −0.347176 | + | 0.601326i | −0.985747 | − | 0.168237i | \(-0.946193\pi\) |
0.638571 | + | 0.769563i | \(0.279526\pi\) | |||||||
\(978\) | −30.9076 | −0.988315 | ||||||||
\(979\) | −1.32247 | + | 2.29059i | −0.0422664 | + | 0.0732075i | ||||
\(980\) | 17.9849 | + | 31.1508i | 0.574507 | + | 0.995075i | ||||
\(981\) | −5.51734 | −0.176155 | ||||||||
\(982\) | 24.2252 | + | 41.9593i | 0.773057 | + | 1.33897i | ||||
\(983\) | 28.1772 | − | 48.8043i | 0.898713 | − | 1.55662i | 0.0695722 | − | 0.997577i | \(-0.477837\pi\) |
0.829141 | − | 0.559040i | \(-0.188830\pi\) | |||||||
\(984\) | 0.204169 | − | 0.353630i | 0.00650866 | − | 0.0112733i | ||||
\(985\) | −0.354614 | −0.0112989 | ||||||||
\(986\) | 8.90859 | − | 15.4301i | 0.283707 | − | 0.491396i | ||||
\(987\) | 19.8582 | 0.632094 | ||||||||
\(988\) | −34.9493 | −1.11189 | ||||||||
\(989\) | −27.5167 | + | 42.8439i | −0.874979 | + | 1.36236i | ||||
\(990\) | −2.19604 | −0.0697949 | ||||||||
\(991\) | −27.8581 | −0.884942 | −0.442471 | − | 0.896783i | \(-0.645898\pi\) | ||||
−0.442471 | + | 0.896783i | \(0.645898\pi\) | |||||||
\(992\) | −24.2779 | + | 42.0505i | −0.770823 | + | 1.33511i | ||||
\(993\) | −4.38255 | −0.139076 | ||||||||
\(994\) | 10.3449 | − | 17.9180i | 0.328122 | − | 0.568323i | ||||
\(995\) | 27.8415 | − | 48.2228i | 0.882634 | − | 1.52877i | ||||
\(996\) | 11.9262 | + | 20.6568i | 0.377896 | + | 0.654535i | ||||
\(997\) | −49.2789 | −1.56068 | −0.780340 | − | 0.625356i | \(-0.784954\pi\) | ||||
−0.780340 | + | 0.625356i | \(0.784954\pi\) | |||||||
\(998\) | −33.5878 | − | 58.1758i | −1.06320 | − | 1.84152i | ||||
\(999\) | −12.9885 | + | 22.4967i | −0.410936 | + | 0.711763i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.e.a.307.4 | ✓ | 58 | |
43.36 | even | 3 | inner | 731.2.e.a.681.4 | yes | 58 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.e.a.307.4 | ✓ | 58 | 1.1 | even | 1 | trivial | |
731.2.e.a.681.4 | yes | 58 | 43.36 | even | 3 | inner |