Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(734,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.734");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.g (of order \(2\), degree \(1\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 734.7 | ||
Character | \(\chi\) | \(=\) | 735.734 |
Dual form | 735.2.g.c.734.8 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.04548 | −1.44637 | −0.723186 | − | 0.690654i | \(-0.757323\pi\) | ||||
−0.723186 | + | 0.690654i | \(0.757323\pi\) | |||||||
\(3\) | 0.965325 | − | 1.43811i | 0.557331 | − | 0.830291i | ||||
\(4\) | 2.18398 | 1.09199 | ||||||||
\(5\) | −2.23143 | − | 0.144014i | −0.997924 | − | 0.0644048i | ||||
\(6\) | −1.97455 | + | 2.94161i | −0.806107 | + | 1.20091i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −0.376326 | −0.133051 | ||||||||
\(9\) | −1.13630 | − | 2.77648i | −0.378765 | − | 0.925493i | ||||
\(10\) | 4.56433 | + | 0.294577i | 1.44337 | + | 0.0931533i | ||||
\(11\) | 5.15975i | 1.55572i | 0.628436 | + | 0.777861i | \(0.283695\pi\) | ||||
−0.628436 | + | 0.777861i | \(0.716305\pi\) | |||||||
\(12\) | 2.10825 | − | 3.14079i | 0.608599 | − | 0.906669i | ||||
\(13\) | 2.98151 | 0.826923 | 0.413462 | − | 0.910522i | \(-0.364320\pi\) | ||||
0.413462 | + | 0.910522i | \(0.364320\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −2.36116 | + | 3.07001i | −0.609648 | + | 0.792672i | ||||
\(16\) | −3.59819 | −0.899548 | ||||||||
\(17\) | − | 1.35756i | − | 0.329257i | −0.986356 | − | 0.164629i | \(-0.947357\pi\) | ||
0.986356 | − | 0.164629i | \(-0.0526425\pi\) | |||||||
\(18\) | 2.32427 | + | 5.67922i | 0.547835 | + | 1.33861i | ||||
\(19\) | 3.09389i | 0.709786i | 0.934907 | + | 0.354893i | \(0.115483\pi\) | ||||
−0.934907 | + | 0.354893i | \(0.884517\pi\) | |||||||
\(20\) | −4.87339 | − | 0.314523i | −1.08972 | − | 0.0703294i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | − | 10.5542i | − | 2.25015i | ||||||
\(23\) | 7.22952 | 1.50746 | 0.753730 | − | 0.657185i | \(-0.228253\pi\) | ||||
0.753730 | + | 0.657185i | \(0.228253\pi\) | |||||||
\(24\) | −0.363276 | + | 0.541196i | −0.0741535 | + | 0.110471i | ||||
\(25\) | 4.95852 | + | 0.642711i | 0.991704 | + | 0.128542i | ||||
\(26\) | −6.09862 | −1.19604 | ||||||||
\(27\) | −5.08976 | − | 1.04609i | −0.979526 | − | 0.201320i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2.69332i | 0.500136i | 0.968228 | + | 0.250068i | \(0.0804531\pi\) | ||||
−0.968228 | + | 0.250068i | \(0.919547\pi\) | |||||||
\(30\) | 4.82969 | − | 6.27963i | 0.881778 | − | 1.14650i | ||||
\(31\) | − | 4.35249i | − | 0.781731i | −0.920448 | − | 0.390865i | \(-0.872176\pi\) | ||
0.920448 | − | 0.390865i | \(-0.127824\pi\) | |||||||
\(32\) | 8.11267 | 1.43413 | ||||||||
\(33\) | 7.42026 | + | 4.98083i | 1.29170 | + | 0.867052i | ||||
\(34\) | 2.77686i | 0.476228i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.48165 | − | 6.06377i | −0.413608 | − | 1.01063i | ||||
\(37\) | 7.59884i | 1.24924i | 0.780928 | + | 0.624621i | \(0.214746\pi\) | ||||
−0.780928 | + | 0.624621i | \(0.785254\pi\) | |||||||
\(38\) | − | 6.32848i | − | 1.02661i | ||||||
\(39\) | 2.87813 | − | 4.28773i | 0.460870 | − | 0.686587i | ||||
\(40\) | 0.839743 | + | 0.0541960i | 0.132775 | + | 0.00856914i | ||||
\(41\) | 7.68540 | 1.20026 | 0.600129 | − | 0.799903i | \(-0.295116\pi\) | ||||
0.600129 | + | 0.799903i | \(0.295116\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 7.79107i | − | 1.18813i | −0.804418 | − | 0.594064i | \(-0.797523\pi\) | ||
0.804418 | − | 0.594064i | \(-0.202477\pi\) | |||||||
\(44\) | 11.2688i | 1.69883i | ||||||||
\(45\) | 2.13571 | + | 6.35915i | 0.318373 | + | 0.947966i | ||||
\(46\) | −14.7878 | −2.18035 | ||||||||
\(47\) | − | 6.07361i | − | 0.885927i | −0.896540 | − | 0.442963i | \(-0.853927\pi\) | ||
0.896540 | − | 0.442963i | \(-0.146073\pi\) | |||||||
\(48\) | −3.47342 | + | 5.17458i | −0.501346 | + | 0.746887i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −10.1425 | − | 1.31465i | −1.43437 | − | 0.185920i | ||||
\(51\) | −1.95232 | − | 1.31049i | −0.273379 | − | 0.183505i | ||||
\(52\) | 6.51157 | 0.902992 | ||||||||
\(53\) | −6.29231 | −0.864316 | −0.432158 | − | 0.901798i | \(-0.642248\pi\) | ||||
−0.432158 | + | 0.901798i | \(0.642248\pi\) | |||||||
\(54\) | 10.4110 | + | 2.13975i | 1.41676 | + | 0.291183i | ||||
\(55\) | 0.743074 | − | 11.5136i | 0.100196 | − | 1.55249i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 4.44934 | + | 2.98661i | 0.589329 | + | 0.395586i | ||||
\(58\) | − | 5.50912i | − | 0.723383i | ||||||
\(59\) | 4.25005 | 0.553309 | 0.276655 | − | 0.960969i | \(-0.410774\pi\) | ||||
0.276655 | + | 0.960969i | \(0.410774\pi\) | |||||||
\(60\) | −5.15672 | + | 6.70483i | −0.665729 | + | 0.865590i | ||||
\(61\) | − | 5.21377i | − | 0.667555i | −0.942652 | − | 0.333778i | \(-0.891677\pi\) | ||
0.942652 | − | 0.333778i | \(-0.108323\pi\) | |||||||
\(62\) | 8.90293i | 1.13067i | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −9.39791 | −1.17474 | ||||||||
\(65\) | −6.65303 | − | 0.429379i | −0.825207 | − | 0.0532579i | ||||
\(66\) | −15.1780 | − | 10.1882i | −1.86828 | − | 1.25408i | ||||
\(67\) | − | 5.65710i | − | 0.691124i | −0.938396 | − | 0.345562i | \(-0.887688\pi\) | ||
0.938396 | − | 0.345562i | \(-0.112312\pi\) | |||||||
\(68\) | − | 2.96489i | − | 0.359545i | ||||||
\(69\) | 6.97884 | − | 10.3968i | 0.840153 | − | 1.25163i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 11.2688i | 1.33736i | 0.743551 | + | 0.668679i | \(0.233140\pi\) | ||||
−0.743551 | + | 0.668679i | \(0.766860\pi\) | |||||||
\(72\) | 0.427617 | + | 1.04486i | 0.0503952 | + | 0.123138i | ||||
\(73\) | 4.91216 | 0.574925 | 0.287463 | − | 0.957792i | \(-0.407188\pi\) | ||||
0.287463 | + | 0.957792i | \(0.407188\pi\) | |||||||
\(74\) | − | 15.5433i | − | 1.80687i | ||||||
\(75\) | 5.71087 | − | 6.51045i | 0.659434 | − | 0.751762i | ||||
\(76\) | 6.75699i | 0.775079i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −5.88715 | + | 8.77046i | −0.666589 | + | 0.993059i | ||||
\(79\) | 11.9294 | 1.34217 | 0.671084 | − | 0.741381i | \(-0.265829\pi\) | ||||
0.671084 | + | 0.741381i | \(0.265829\pi\) | |||||||
\(80\) | 8.02910 | + | 0.518189i | 0.897681 | + | 0.0579353i | ||||
\(81\) | −6.41766 | + | 6.30980i | −0.713074 | + | 0.701089i | ||||
\(82\) | −15.7203 | −1.73602 | ||||||||
\(83\) | − | 12.1558i | − | 1.33428i | −0.744934 | − | 0.667138i | \(-0.767519\pi\) | ||
0.744934 | − | 0.667138i | \(-0.232481\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.195507 | + | 3.02930i | −0.0212057 | + | 0.328573i | ||||
\(86\) | 15.9365i | 1.71847i | ||||||||
\(87\) | 3.87328 | + | 2.59993i | 0.415259 | + | 0.278741i | ||||
\(88\) | − | 1.94175i | − | 0.206991i | ||||||
\(89\) | 9.32117 | 0.988042 | 0.494021 | − | 0.869450i | \(-0.335527\pi\) | ||||
0.494021 | + | 0.869450i | \(0.335527\pi\) | |||||||
\(90\) | −4.36855 | − | 13.0075i | −0.460485 | − | 1.37111i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 15.7891 | 1.64613 | ||||||||
\(93\) | −6.25935 | − | 4.20157i | −0.649064 | − | 0.435682i | ||||
\(94\) | 12.4234i | 1.28138i | ||||||||
\(95\) | 0.445562 | − | 6.90378i | 0.0457137 | − | 0.708313i | ||||
\(96\) | 7.83137 | − | 11.6669i | 0.799285 | − | 1.19075i | ||||
\(97\) | 19.2504 | 1.95458 | 0.977289 | − | 0.211910i | \(-0.0679684\pi\) | ||||
0.977289 | + | 0.211910i | \(0.0679684\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 14.3259 | − | 5.86300i | 1.43981 | − | 0.589254i | ||||
\(100\) | 10.8293 | + | 1.40367i | 1.08293 | + | 0.140367i | ||||
\(101\) | 5.18940 | 0.516365 | 0.258183 | − | 0.966096i | \(-0.416876\pi\) | ||||
0.258183 | + | 0.966096i | \(0.416876\pi\) | |||||||
\(102\) | 3.99342 | + | 2.68057i | 0.395408 | + | 0.265416i | ||||
\(103\) | 4.66100 | 0.459262 | 0.229631 | − | 0.973278i | \(-0.426248\pi\) | ||||
0.229631 | + | 0.973278i | \(0.426248\pi\) | |||||||
\(104\) | −1.12202 | −0.110023 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 12.8708 | 1.25012 | ||||||||
\(107\) | 0.879852 | 0.0850585 | 0.0425293 | − | 0.999095i | \(-0.486458\pi\) | ||||
0.0425293 | + | 0.999095i | \(0.486458\pi\) | |||||||
\(108\) | −11.1159 | − | 2.28464i | −1.06963 | − | 0.219839i | ||||
\(109\) | 5.87754 | 0.562966 | 0.281483 | − | 0.959566i | \(-0.409174\pi\) | ||||
0.281483 | + | 0.959566i | \(0.409174\pi\) | |||||||
\(110\) | −1.51994 | + | 23.5508i | −0.144921 | + | 2.24548i | ||||
\(111\) | 10.9279 | + | 7.33535i | 1.03723 | + | 0.696241i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.00476 | 0.282664 | 0.141332 | − | 0.989962i | \(-0.454861\pi\) | ||||
0.141332 | + | 0.989962i | \(0.454861\pi\) | |||||||
\(114\) | −9.10102 | − | 6.10904i | −0.852389 | − | 0.572164i | ||||
\(115\) | −16.1321 | − | 1.04115i | −1.50433 | − | 0.0970877i | ||||
\(116\) | 5.88215i | 0.546144i | ||||||||
\(117\) | −3.38788 | − | 8.27811i | −0.313210 | − | 0.765312i | ||||
\(118\) | −8.69338 | −0.800291 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.888564 | − | 1.15532i | 0.0811144 | − | 0.105466i | ||||
\(121\) | −15.6230 | −1.42027 | ||||||||
\(122\) | 10.6647i | 0.965533i | ||||||||
\(123\) | 7.41891 | − | 11.0524i | 0.668940 | − | 0.996563i | ||||
\(124\) | − | 9.50575i | − | 0.853642i | ||||||
\(125\) | −10.9720 | − | 2.14826i | −0.981366 | − | 0.192146i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.49556i | 0.398916i | 0.979906 | + | 0.199458i | \(0.0639182\pi\) | ||||
−0.979906 | + | 0.199458i | \(0.936082\pi\) | |||||||
\(128\) | 2.99787 | 0.264977 | ||||||||
\(129\) | −11.2044 | − | 7.52092i | −0.986491 | − | 0.662180i | ||||
\(130\) | 13.6086 | + | 0.878285i | 1.19356 | + | 0.0770306i | ||||
\(131\) | −7.64625 | −0.668056 | −0.334028 | − | 0.942563i | \(-0.608408\pi\) | ||||
−0.334028 | + | 0.942563i | \(0.608408\pi\) | |||||||
\(132\) | 16.2057 | + | 10.8780i | 1.41053 | + | 0.946812i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.5715i | 0.999622i | ||||||||
\(135\) | 11.2068 | + | 3.06726i | 0.964526 | + | 0.263988i | ||||
\(136\) | 0.510885i | 0.0438080i | ||||||||
\(137\) | 3.21110 | 0.274343 | 0.137172 | − | 0.990547i | \(-0.456199\pi\) | ||||
0.137172 | + | 0.990547i | \(0.456199\pi\) | |||||||
\(138\) | −14.2751 | + | 21.2665i | −1.21517 | + | 1.81032i | ||||
\(139\) | 10.1096i | 0.857483i | 0.903427 | + | 0.428741i | \(0.141043\pi\) | ||||
−0.903427 | + | 0.428741i | \(0.858957\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −8.73449 | − | 5.86300i | −0.735577 | − | 0.493754i | ||||
\(142\) | − | 23.0500i | − | 1.93432i | ||||||
\(143\) | 15.3839i | 1.28646i | ||||||||
\(144\) | 4.08861 | + | 9.99030i | 0.340718 | + | 0.832525i | ||||
\(145\) | 0.387874 | − | 6.00994i | 0.0322112 | − | 0.499098i | ||||
\(146\) | −10.0477 | −0.831555 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 16.5957i | 1.36416i | ||||||||
\(149\) | − | 6.51057i | − | 0.533367i | −0.963784 | − | 0.266683i | \(-0.914072\pi\) | ||
0.963784 | − | 0.266683i | \(-0.0859278\pi\) | |||||||
\(150\) | −11.6815 | + | 13.3170i | −0.953787 | + | 1.08733i | ||||
\(151\) | −11.7522 | −0.956382 | −0.478191 | − | 0.878256i | \(-0.658707\pi\) | ||||
−0.478191 | + | 0.878256i | \(0.658707\pi\) | |||||||
\(152\) | − | 1.16431i | − | 0.0944379i | ||||||
\(153\) | −3.76924 | + | 1.54259i | −0.304725 | + | 0.124711i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.626818 | + | 9.71226i | −0.0503472 | + | 0.780108i | ||||
\(156\) | 6.28578 | − | 9.36432i | 0.503265 | − | 0.749746i | ||||
\(157\) | −12.0061 | −0.958194 | −0.479097 | − | 0.877762i | \(-0.659036\pi\) | ||||
−0.479097 | + | 0.877762i | \(0.659036\pi\) | |||||||
\(158\) | −24.4014 | −1.94127 | ||||||||
\(159\) | −6.07412 | + | 9.04901i | −0.481709 | + | 0.717633i | ||||
\(160\) | −18.1028 | − | 1.16834i | −1.43115 | − | 0.0923650i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 13.1272 | − | 12.9066i | 1.03137 | − | 1.01404i | ||||
\(163\) | 18.1973i | 1.42532i | 0.701510 | + | 0.712659i | \(0.252509\pi\) | ||||
−0.701510 | + | 0.712659i | \(0.747491\pi\) | |||||||
\(164\) | 16.7848 | 1.31067 | ||||||||
\(165\) | −15.8405 | − | 12.1830i | −1.23318 | − | 0.948443i | ||||
\(166\) | 24.8645i | 1.92986i | ||||||||
\(167\) | 20.6432i | 1.59742i | 0.601716 | + | 0.798710i | \(0.294484\pi\) | ||||
−0.601716 | + | 0.798710i | \(0.705516\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −4.11057 | −0.316198 | ||||||||
\(170\) | 0.399906 | − | 6.19636i | 0.0306714 | − | 0.475239i | ||||
\(171\) | 8.59011 | − | 3.51557i | 0.656902 | − | 0.268843i | ||||
\(172\) | − | 17.0155i | − | 1.29742i | ||||||
\(173\) | − | 18.4353i | − | 1.40161i | −0.713352 | − | 0.700805i | \(-0.752824\pi\) | ||
0.713352 | − | 0.700805i | \(-0.247176\pi\) | |||||||
\(174\) | −7.92270 | − | 5.31809i | −0.600618 | − | 0.403163i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 18.5658i | − | 1.39945i | ||||||
\(177\) | 4.10268 | − | 6.11202i | 0.308376 | − | 0.459408i | ||||
\(178\) | −19.0662 | −1.42908 | ||||||||
\(179\) | 16.3297i | 1.22054i | 0.792195 | + | 0.610269i | \(0.208938\pi\) | ||||
−0.792195 | + | 0.610269i | \(0.791062\pi\) | |||||||
\(180\) | 4.66435 | + | 13.8882i | 0.347660 | + | 1.03517i | ||||
\(181\) | 3.55998i | 0.264612i | 0.991209 | + | 0.132306i | \(0.0422381\pi\) | ||||
−0.991209 | + | 0.132306i | \(0.957762\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.49796 | − | 5.03299i | −0.554265 | − | 0.372049i | ||||
\(184\) | −2.72065 | −0.200569 | ||||||||
\(185\) | 1.09434 | − | 16.9562i | 0.0804572 | − | 1.24665i | ||||
\(186\) | 12.8034 | + | 8.59422i | 0.938787 | + | 0.630159i | ||||
\(187\) | 7.00468 | 0.512233 | ||||||||
\(188\) | − | 13.2646i | − | 0.967423i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.911387 | + | 14.1215i | −0.0661189 | + | 1.02448i | ||||
\(191\) | 0.329193i | 0.0238196i | 0.999929 | + | 0.0119098i | \(0.00379110\pi\) | ||||
−0.999929 | + | 0.0119098i | \(0.996209\pi\) | |||||||
\(192\) | −9.07204 | + | 13.5152i | −0.654718 | + | 0.975375i | ||||
\(193\) | 8.06293i | 0.580383i | 0.956969 | + | 0.290191i | \(0.0937189\pi\) | ||||
−0.956969 | + | 0.290191i | \(0.906281\pi\) | |||||||
\(194\) | −39.3762 | −2.82705 | ||||||||
\(195\) | −7.03982 | + | 9.15327i | −0.504132 | + | 0.655479i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 9.61468 | 0.685017 | 0.342509 | − | 0.939515i | \(-0.388723\pi\) | ||||
0.342509 | + | 0.939515i | \(0.388723\pi\) | |||||||
\(198\) | −29.3034 | + | 11.9926i | −2.08250 | + | 0.852280i | ||||
\(199\) | − | 11.1595i | − | 0.791079i | −0.918449 | − | 0.395540i | \(-0.870558\pi\) | ||
0.918449 | − | 0.395540i | \(-0.129442\pi\) | |||||||
\(200\) | −1.86602 | − | 0.241869i | −0.131947 | − | 0.0171027i | ||||
\(201\) | −8.13550 | − | 5.46093i | −0.573834 | − | 0.385185i | ||||
\(202\) | −10.6148 | −0.746855 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −4.26382 | − | 2.86208i | −0.298527 | − | 0.200386i | ||||
\(205\) | −17.1494 | − | 1.10680i | −1.19777 | − | 0.0773024i | ||||
\(206\) | −9.53397 | −0.664263 | ||||||||
\(207\) | −8.21488 | − | 20.0726i | −0.570974 | − | 1.39514i | ||||
\(208\) | −10.7281 | −0.743857 | ||||||||
\(209\) | −15.9637 | −1.10423 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.20704 | 0.0830957 | 0.0415479 | − | 0.999137i | \(-0.486771\pi\) | ||||
0.0415479 | + | 0.999137i | \(0.486771\pi\) | |||||||
\(212\) | −13.7423 | −0.943824 | ||||||||
\(213\) | 16.2057 | + | 10.8780i | 1.11040 | + | 0.745351i | ||||
\(214\) | −1.79972 | −0.123026 | ||||||||
\(215\) | −1.12202 | + | 17.3852i | −0.0765212 | + | 1.18566i | ||||
\(216\) | 1.91541 | + | 0.393670i | 0.130327 | + | 0.0267859i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −12.0224 | −0.814258 | ||||||||
\(219\) | 4.74183 | − | 7.06421i | 0.320423 | − | 0.477355i | ||||
\(220\) | 1.62286 | − | 25.1455i | 0.109413 | − | 1.69531i | ||||
\(221\) | − | 4.04759i | − | 0.272270i | ||||||
\(222\) | −22.3529 | − | 15.0043i | −1.50023 | − | 1.00702i | ||||
\(223\) | −4.30580 | −0.288338 | −0.144169 | − | 0.989553i | \(-0.546051\pi\) | ||||
−0.144169 | + | 0.989553i | \(0.546051\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −3.84987 | − | 14.4975i | −0.256658 | − | 0.966502i | ||||
\(226\) | −6.14618 | −0.408837 | ||||||||
\(227\) | 4.04774i | 0.268658i | 0.990937 | + | 0.134329i | \(0.0428879\pi\) | ||||
−0.990937 | + | 0.134329i | \(0.957112\pi\) | |||||||
\(228\) | 9.71726 | + | 6.52269i | 0.643541 | + | 0.431975i | ||||
\(229\) | 8.57232i | 0.566475i | 0.959050 | + | 0.283238i | \(0.0914085\pi\) | ||||
−0.959050 | + | 0.283238i | \(0.908592\pi\) | |||||||
\(230\) | 32.9979 | + | 2.12965i | 2.17582 | + | 0.140425i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 1.01356i | − | 0.0665438i | ||||||
\(233\) | 9.11912 | 0.597413 | 0.298707 | − | 0.954345i | \(-0.403445\pi\) | ||||
0.298707 | + | 0.954345i | \(0.403445\pi\) | |||||||
\(234\) | 6.92984 | + | 16.9327i | 0.453018 | + | 1.10692i | ||||
\(235\) | −0.874682 | + | 13.5528i | −0.0570580 | + | 0.884087i | ||||
\(236\) | 9.28202 | 0.604208 | ||||||||
\(237\) | 11.5158 | − | 17.1558i | 0.748031 | − | 1.11439i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 17.7528i | − | 1.14834i | −0.818738 | − | 0.574168i | \(-0.805326\pi\) | ||
0.818738 | − | 0.574168i | \(-0.194674\pi\) | |||||||
\(240\) | 8.49590 | − | 11.0465i | 0.548408 | − | 0.713047i | ||||
\(241\) | 24.0167i | 1.54705i | 0.633767 | + | 0.773524i | \(0.281508\pi\) | ||||
−0.633767 | + | 0.773524i | \(0.718492\pi\) | |||||||
\(242\) | 31.9565 | 2.05424 | ||||||||
\(243\) | 2.87904 | + | 15.3203i | 0.184690 | + | 0.982797i | ||||
\(244\) | − | 11.3868i | − | 0.728964i | ||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −15.1752 | + | 22.6075i | −0.967536 | + | 1.44140i | ||||
\(247\) | 9.22447i | 0.586939i | ||||||||
\(248\) | 1.63795i | 0.104010i | ||||||||
\(249\) | −17.4814 | − | 11.7343i | −1.10784 | − | 0.743633i | ||||
\(250\) | 22.4430 | + | 4.39421i | 1.41942 | + | 0.277914i | ||||
\(251\) | −8.80742 | −0.555919 | −0.277960 | − | 0.960593i | \(-0.589658\pi\) | ||||
−0.277960 | + | 0.960593i | \(0.589658\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 37.3025i | 2.34519i | ||||||||
\(254\) | − | 9.19556i | − | 0.576981i | ||||||
\(255\) | 4.16772 | + | 3.20542i | 0.260993 | + | 0.200731i | ||||
\(256\) | 12.6638 | 0.791484 | ||||||||
\(257\) | 11.6328i | 0.725633i | 0.931861 | + | 0.362816i | \(0.118185\pi\) | ||||
−0.931861 | + | 0.362816i | \(0.881815\pi\) | |||||||
\(258\) | 22.9183 | + | 15.3839i | 1.42683 | + | 0.957758i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −14.5301 | − | 0.937754i | −0.901117 | − | 0.0581570i | ||||
\(261\) | 7.47794 | − | 3.06041i | 0.462873 | − | 0.189434i | ||||
\(262\) | 15.6402 | 0.966257 | ||||||||
\(263\) | −0.979701 | −0.0604109 | −0.0302055 | − | 0.999544i | \(-0.509616\pi\) | ||||
−0.0302055 | + | 0.999544i | \(0.509616\pi\) | |||||||
\(264\) | −2.79244 | − | 1.87442i | −0.171863 | − | 0.115362i | ||||
\(265\) | 14.0408 | + | 0.906179i | 0.862521 | + | 0.0556661i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 8.99796 | − | 13.4048i | 0.550666 | − | 0.820362i | ||||
\(268\) | − | 12.3550i | − | 0.754700i | ||||||
\(269\) | −20.6092 | −1.25656 | −0.628282 | − | 0.777985i | \(-0.716242\pi\) | ||||
−0.628282 | + | 0.777985i | \(0.716242\pi\) | |||||||
\(270\) | −22.9232 | − | 6.27402i | −1.39506 | − | 0.381825i | ||||
\(271\) | 2.59970i | 0.157920i | 0.996878 | + | 0.0789602i | \(0.0251600\pi\) | ||||
−0.996878 | + | 0.0789602i | \(0.974840\pi\) | |||||||
\(272\) | 4.88477i | 0.296183i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.56824 | −0.396802 | ||||||||
\(275\) | −3.31623 | + | 25.5847i | −0.199976 | + | 1.54282i | ||||
\(276\) | 15.2416 | − | 22.7064i | 0.917439 | − | 1.36677i | ||||
\(277\) | 19.1495i | 1.15058i | 0.817948 | + | 0.575292i | \(0.195111\pi\) | ||||
−0.817948 | + | 0.575292i | \(0.804889\pi\) | |||||||
\(278\) | − | 20.6789i | − | 1.24024i | ||||||
\(279\) | −12.0846 | + | 4.94572i | −0.723486 | + | 0.296093i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 14.8209i | 0.884138i | 0.896981 | + | 0.442069i | \(0.145755\pi\) | ||||
−0.896981 | + | 0.442069i | \(0.854245\pi\) | |||||||
\(282\) | 17.8662 | + | 11.9926i | 1.06392 | + | 0.714151i | ||||
\(283\) | −2.28585 | −0.135880 | −0.0679398 | − | 0.997689i | \(-0.521643\pi\) | ||||
−0.0679398 | + | 0.997689i | \(0.521643\pi\) | |||||||
\(284\) | 24.6108i | 1.46038i | ||||||||
\(285\) | −9.49825 | − | 7.30515i | −0.562628 | − | 0.432720i | ||||
\(286\) | − | 31.4674i | − | 1.86070i | ||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −9.21840 | − | 22.5247i | −0.543200 | − | 1.32728i | ||||
\(289\) | 15.1570 | 0.891590 | ||||||||
\(290\) | −0.793388 | + | 12.2932i | −0.0465894 | + | 0.721881i | ||||
\(291\) | 18.5829 | − | 27.6841i | 1.08935 | − | 1.62287i | ||||
\(292\) | 10.7281 | 0.627813 | ||||||||
\(293\) | − | 29.4268i | − | 1.71913i | −0.511023 | − | 0.859567i | \(-0.670733\pi\) | ||
0.511023 | − | 0.859567i | \(-0.329267\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −9.48367 | − | 0.612065i | −0.552160 | − | 0.0356358i | ||||
\(296\) | − | 2.85964i | − | 0.166213i | ||||||
\(297\) | 5.39756 | − | 26.2619i | 0.313198 | − | 1.52387i | ||||
\(298\) | 13.3172i | 0.771446i | ||||||||
\(299\) | 21.5549 | 1.24655 | ||||||||
\(300\) | 12.4724 | − | 14.2187i | 0.720095 | − | 0.820917i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 24.0389 | 1.38328 | ||||||||
\(303\) | 5.00946 | − | 7.46291i | 0.287786 | − | 0.428733i | ||||
\(304\) | − | 11.1324i | − | 0.638487i | ||||||
\(305\) | −0.750854 | + | 11.6341i | −0.0429938 | + | 0.666169i | ||||
\(306\) | 7.70990 | − | 3.15534i | 0.440745 | − | 0.180379i | ||||
\(307\) | −19.6726 | −1.12278 | −0.561388 | − | 0.827553i | \(-0.689732\pi\) | ||||
−0.561388 | + | 0.827553i | \(0.689732\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.49938 | − | 6.70301i | 0.255961 | − | 0.381321i | ||||
\(310\) | 1.28214 | − | 19.8662i | 0.0728208 | − | 1.12833i | ||||
\(311\) | −7.76453 | −0.440286 | −0.220143 | − | 0.975468i | \(-0.570652\pi\) | ||||
−0.220143 | + | 0.975468i | \(0.570652\pi\) | |||||||
\(312\) | −1.08311 | + | 1.61358i | −0.0613193 | + | 0.0913512i | ||||
\(313\) | 15.3891 | 0.869841 | 0.434921 | − | 0.900469i | \(-0.356776\pi\) | ||||
0.434921 | + | 0.900469i | \(0.356776\pi\) | |||||||
\(314\) | 24.5583 | 1.38590 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 26.0537 | 1.46563 | ||||||||
\(317\) | 1.61449 | 0.0906787 | 0.0453394 | − | 0.998972i | \(-0.485563\pi\) | ||||
0.0453394 | + | 0.998972i | \(0.485563\pi\) | |||||||
\(318\) | 12.4245 | − | 18.5096i | 0.696731 | − | 1.03796i | ||||
\(319\) | −13.8968 | −0.778074 | ||||||||
\(320\) | 20.9707 | + | 1.35343i | 1.17230 | + | 0.0756589i | ||||
\(321\) | 0.849343 | − | 1.26532i | 0.0474057 | − | 0.0706233i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 4.20014 | 0.233702 | ||||||||
\(324\) | −14.0160 | + | 13.7805i | −0.778669 | + | 0.765582i | ||||
\(325\) | 14.7839 | + | 1.91625i | 0.820063 | + | 0.106295i | ||||
\(326\) | − | 37.2221i | − | 2.06154i | ||||||
\(327\) | 5.67373 | − | 8.45252i | 0.313758 | − | 0.467426i | ||||
\(328\) | −2.89221 | −0.159696 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 32.4013 | + | 24.9200i | 1.78363 | + | 1.37180i | ||||
\(331\) | 30.4567 | 1.67405 | 0.837026 | − | 0.547163i | \(-0.184292\pi\) | ||||
0.837026 | + | 0.547163i | \(0.184292\pi\) | |||||||
\(332\) | − | 26.5481i | − | 1.45702i | ||||||
\(333\) | 21.0980 | − | 8.63453i | 1.15616 | − | 0.473170i | ||||
\(334\) | − | 42.2253i | − | 2.31046i | ||||||
\(335\) | −0.814699 | + | 12.6234i | −0.0445117 | + | 0.689689i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 22.5247i | − | 1.22700i | −0.789696 | − | 0.613498i | \(-0.789762\pi\) | ||
0.789696 | − | 0.613498i | \(-0.210238\pi\) | |||||||
\(338\) | 8.40808 | 0.457339 | ||||||||
\(339\) | 2.90057 | − | 4.32117i | 0.157537 | − | 0.234694i | ||||
\(340\) | −0.426984 | + | 6.61592i | −0.0231565 | + | 0.358799i | ||||
\(341\) | 22.4578 | 1.21616 | ||||||||
\(342\) | −17.5709 | + | 7.19103i | −0.950124 | + | 0.388846i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 2.93198i | 0.158082i | ||||||||
\(345\) | −17.0700 | + | 22.1947i | −0.919020 | + | 1.19492i | ||||
\(346\) | 37.7090i | 2.02725i | ||||||||
\(347\) | −12.4516 | −0.668436 | −0.334218 | − | 0.942496i | \(-0.608472\pi\) | ||||
−0.334218 | + | 0.942496i | \(0.608472\pi\) | |||||||
\(348\) | 8.45915 | + | 5.67818i | 0.453458 | + | 0.304383i | ||||
\(349\) | 17.9519i | 0.960945i | 0.877010 | + | 0.480472i | \(0.159535\pi\) | ||||
−0.877010 | + | 0.480472i | \(0.840465\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −15.1752 | − | 3.11893i | −0.809993 | − | 0.166476i | ||||
\(352\) | 41.8594i | 2.23111i | ||||||||
\(353\) | − | 12.6815i | − | 0.674967i | −0.941331 | − | 0.337484i | \(-0.890424\pi\) | ||
0.941331 | − | 0.337484i | \(-0.109576\pi\) | |||||||
\(354\) | −8.39194 | + | 12.5020i | −0.446026 | + | 0.664474i | ||||
\(355\) | 1.62286 | − | 25.1455i | 0.0861324 | − | 1.33458i | ||||
\(356\) | 20.3572 | 1.07893 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | − | 33.4020i | − | 1.76535i | ||||||
\(359\) | 0.0723421i | 0.00381807i | 0.999998 | + | 0.00190903i | \(0.000607665\pi\) | ||||
−0.999998 | + | 0.00190903i | \(0.999392\pi\) | |||||||
\(360\) | −0.803722 | − | 2.39311i | −0.0423599 | − | 0.126128i | ||||
\(361\) | 9.42786 | 0.496203 | ||||||||
\(362\) | − | 7.28187i | − | 0.382727i | ||||||
\(363\) | −15.0813 | + | 22.4675i | −0.791562 | + | 1.17924i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −10.9611 | − | 0.707418i | −0.573732 | − | 0.0370280i | ||||
\(366\) | 15.3369 | + | 10.2949i | 0.801673 | + | 0.538121i | ||||
\(367\) | −10.7188 | −0.559519 | −0.279760 | − | 0.960070i | \(-0.590255\pi\) | ||||
−0.279760 | + | 0.960070i | \(0.590255\pi\) | |||||||
\(368\) | −26.0132 | −1.35603 | ||||||||
\(369\) | −8.73289 | − | 21.3383i | −0.454616 | − | 1.11083i | ||||
\(370\) | −2.23844 | + | 34.6836i | −0.116371 | + | 1.80312i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −13.6703 | − | 9.17614i | −0.708771 | − | 0.475761i | ||||
\(373\) | − | 21.3802i | − | 1.10702i | −0.832842 | − | 0.553511i | \(-0.813288\pi\) | ||
0.832842 | − | 0.553511i | \(-0.186712\pi\) | |||||||
\(374\) | −14.3279 | −0.740879 | ||||||||
\(375\) | −13.6810 | + | 13.7051i | −0.706482 | + | 0.707731i | ||||
\(376\) | 2.28565i | 0.117874i | ||||||||
\(377\) | 8.03017i | 0.413575i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 24.3043 | 1.24843 | 0.624214 | − | 0.781253i | \(-0.285419\pi\) | ||||
0.624214 | + | 0.781253i | \(0.285419\pi\) | |||||||
\(380\) | 0.973098 | − | 15.0777i | 0.0499189 | − | 0.773470i | ||||
\(381\) | 6.46509 | + | 4.33967i | 0.331216 | + | 0.222328i | ||||
\(382\) | − | 0.673358i | − | 0.0344520i | ||||||
\(383\) | − | 7.38680i | − | 0.377448i | −0.982030 | − | 0.188724i | \(-0.939565\pi\) | ||
0.982030 | − | 0.188724i | \(-0.0604352\pi\) | |||||||
\(384\) | 2.89392 | − | 4.31125i | 0.147680 | − | 0.220008i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 16.4925i | − | 0.839449i | ||||||
\(387\) | −21.6317 | + | 8.85297i | −1.09960 | + | 0.450022i | ||||
\(388\) | 42.0424 | 2.13438 | ||||||||
\(389\) | − | 12.8681i | − | 0.652440i | −0.945294 | − | 0.326220i | \(-0.894225\pi\) | ||
0.945294 | − | 0.326220i | \(-0.105775\pi\) | |||||||
\(390\) | 14.3998 | − | 18.7228i | 0.729162 | − | 0.948066i | ||||
\(391\) | − | 9.81452i | − | 0.496342i | ||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −7.38111 | + | 10.9961i | −0.372328 | + | 0.554681i | ||||
\(394\) | −19.6666 | −0.990789 | ||||||||
\(395\) | −26.6197 | − | 1.71800i | −1.33938 | − | 0.0864421i | ||||
\(396\) | 31.2875 | − | 12.8047i | 1.57226 | − | 0.643459i | ||||
\(397\) | −16.2466 | −0.815393 | −0.407697 | − | 0.913117i | \(-0.633668\pi\) | ||||
−0.407697 | + | 0.913117i | \(0.633668\pi\) | |||||||
\(398\) | 22.8266i | 1.14419i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.8417 | − | 2.31260i | −0.892086 | − | 0.115630i | ||||
\(401\) | − | 10.2206i | − | 0.510394i | −0.966889 | − | 0.255197i | \(-0.917860\pi\) | ||
0.966889 | − | 0.255197i | \(-0.0821404\pi\) | |||||||
\(402\) | 16.6410 | + | 11.1702i | 0.829977 | + | 0.557120i | ||||
\(403\) | − | 12.9770i | − | 0.646432i | ||||||
\(404\) | 11.3336 | 0.563865 | ||||||||
\(405\) | 15.2292 | − | 13.1556i | 0.756747 | − | 0.653708i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −39.2081 | −1.94347 | ||||||||
\(408\) | 0.734707 | + | 0.493170i | 0.0363734 | + | 0.0244156i | ||||
\(409\) | − | 18.1658i | − | 0.898243i | −0.893471 | − | 0.449122i | \(-0.851737\pi\) | ||
0.893471 | − | 0.449122i | \(-0.148263\pi\) | |||||||
\(410\) | 35.0787 | + | 2.26394i | 1.73241 | + | 0.111808i | ||||
\(411\) | 3.09976 | − | 4.61791i | 0.152900 | − | 0.227785i | ||||
\(412\) | 10.1795 | 0.501509 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 16.8034 | + | 41.0581i | 0.825840 | + | 2.01789i | ||||
\(415\) | −1.75061 | + | 27.1249i | −0.0859339 | + | 1.33151i | ||||
\(416\) | 24.1881 | 1.18592 | ||||||||
\(417\) | 14.5386 | + | 9.75902i | 0.711960 | + | 0.477901i | ||||
\(418\) | 32.6534 | 1.59713 | ||||||||
\(419\) | 3.38983 | 0.165604 | 0.0828019 | − | 0.996566i | \(-0.473613\pi\) | ||||
0.0828019 | + | 0.996566i | \(0.473613\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5.12428 | −0.249742 | −0.124871 | − | 0.992173i | \(-0.539852\pi\) | ||||
−0.124871 | + | 0.992173i | \(0.539852\pi\) | |||||||
\(422\) | −2.46896 | −0.120187 | ||||||||
\(423\) | −16.8632 | + | 6.90142i | −0.819919 | + | 0.335558i | ||||
\(424\) | 2.36796 | 0.114998 | ||||||||
\(425\) | 0.872520 | − | 6.73150i | 0.0423234 | − | 0.326526i | ||||
\(426\) | −33.1484 | − | 22.2508i | −1.60605 | − | 1.07805i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 1.92158 | 0.0928830 | ||||||||
\(429\) | 22.1236 | + | 14.8504i | 1.06814 | + | 0.716985i | ||||
\(430\) | 2.29507 | − | 35.5610i | 0.110678 | − | 1.71491i | ||||
\(431\) | 13.1408i | 0.632972i | 0.948597 | + | 0.316486i | \(0.102503\pi\) | ||||
−0.948597 | + | 0.316486i | \(0.897497\pi\) | |||||||
\(432\) | 18.3140 | + | 3.76403i | 0.881130 | + | 0.181097i | ||||
\(433\) | −4.76504 | −0.228993 | −0.114497 | − | 0.993424i | \(-0.536525\pi\) | ||||
−0.114497 | + | 0.993424i | \(0.536525\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.26850 | − | 6.35935i | −0.396444 | − | 0.304907i | ||||
\(436\) | 12.8364 | 0.614753 | ||||||||
\(437\) | 22.3673i | 1.06997i | ||||||||
\(438\) | −9.69932 | + | 14.4497i | −0.463451 | + | 0.690433i | ||||
\(439\) | 28.6288i | 1.36638i | 0.730242 | + | 0.683189i | \(0.239407\pi\) | ||||
−0.730242 | + | 0.683189i | \(0.760593\pi\) | |||||||
\(440\) | −0.279638 | + | 4.33286i | −0.0133312 | + | 0.206561i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 8.27925i | 0.393804i | ||||||||
\(443\) | 28.4736 | 1.35282 | 0.676411 | − | 0.736525i | \(-0.263534\pi\) | ||||
0.676411 | + | 0.736525i | \(0.263534\pi\) | |||||||
\(444\) | 23.8664 | + | 16.0203i | 1.13265 | + | 0.760287i | ||||
\(445\) | −20.7995 | − | 1.34238i | −0.985991 | − | 0.0636347i | ||||
\(446\) | 8.80742 | 0.417043 | ||||||||
\(447\) | −9.36289 | − | 6.28482i | −0.442849 | − | 0.297262i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − | 3.55207i | − | 0.167633i | −0.996481 | − | 0.0838164i | \(-0.973289\pi\) | ||
0.996481 | − | 0.0838164i | \(-0.0267109\pi\) | |||||||
\(450\) | 7.87483 | + | 29.6544i | 0.371223 | + | 1.39792i | ||||
\(451\) | 39.6547i | 1.86727i | ||||||||
\(452\) | 6.56234 | 0.308666 | ||||||||
\(453\) | −11.3447 | + | 16.9009i | −0.533021 | + | 0.794075i | ||||
\(454\) | − | 8.27957i | − | 0.388579i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −1.67440 | − | 1.12394i | −0.0784109 | − | 0.0526331i | ||||
\(457\) | − | 29.2396i | − | 1.36777i | −0.729590 | − | 0.683885i | \(-0.760289\pi\) | ||
0.729590 | − | 0.683885i | \(-0.239711\pi\) | |||||||
\(458\) | − | 17.5345i | − | 0.819333i | ||||||
\(459\) | −1.42013 | + | 6.90967i | −0.0662860 | + | 0.322516i | ||||
\(460\) | −35.2323 | − | 2.27385i | −1.64271 | − | 0.106019i | ||||
\(461\) | −28.3247 | −1.31921 | −0.659607 | − | 0.751611i | \(-0.729277\pi\) | ||||
−0.659607 | + | 0.751611i | \(0.729277\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 39.6458i | − | 1.84249i | −0.388977 | − | 0.921247i | \(-0.627172\pi\) | ||
0.388977 | − | 0.921247i | \(-0.372828\pi\) | |||||||
\(464\) | − | 9.69108i | − | 0.449897i | ||||||
\(465\) | 13.3622 | + | 10.2769i | 0.619656 | + | 0.476581i | ||||
\(466\) | −18.6530 | −0.864082 | ||||||||
\(467\) | − | 20.5184i | − | 0.949478i | −0.880127 | − | 0.474739i | \(-0.842542\pi\) | ||
0.880127 | − | 0.474739i | \(-0.157458\pi\) | |||||||
\(468\) | −7.39907 | − | 18.0792i | −0.342022 | − | 0.835712i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 1.78914 | − | 27.7220i | 0.0825270 | − | 1.27872i | ||||
\(471\) | −11.5898 | + | 17.2661i | −0.534031 | + | 0.795580i | ||||
\(472\) | −1.59940 | −0.0736185 | ||||||||
\(473\) | 40.2000 | 1.84840 | ||||||||
\(474\) | −23.5553 | + | 35.0918i | −1.08193 | + | 1.61182i | ||||
\(475\) | −1.98848 | + | 15.3411i | −0.0912375 | + | 0.703898i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 7.14993 | + | 17.4705i | 0.327373 | + | 0.799918i | ||||
\(478\) | 36.3130i | 1.66092i | ||||||||
\(479\) | −6.61875 | −0.302418 | −0.151209 | − | 0.988502i | \(-0.548317\pi\) | ||||
−0.151209 | + | 0.988502i | \(0.548317\pi\) | |||||||
\(480\) | −19.1553 | + | 24.9060i | −0.874316 | + | 1.13680i | ||||
\(481\) | 22.6561i | 1.03303i | ||||||||
\(482\) | − | 49.1255i | − | 2.23761i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −34.1203 | −1.55092 | ||||||||
\(485\) | −42.9558 | − | 2.77231i | −1.95052 | − | 0.125884i | ||||
\(486\) | −5.88901 | − | 31.3373i | −0.267131 | − | 1.42149i | ||||
\(487\) | 19.8399i | 0.899032i | 0.893272 | + | 0.449516i | \(0.148404\pi\) | ||||
−0.893272 | + | 0.449516i | \(0.851596\pi\) | |||||||
\(488\) | 1.96208i | 0.0888191i | ||||||||
\(489\) | 26.1696 | + | 17.5663i | 1.18343 | + | 0.794374i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 11.6654i | 0.526454i | 0.964734 | + | 0.263227i | \(0.0847868\pi\) | ||||
−0.964734 | + | 0.263227i | \(0.915213\pi\) | |||||||
\(492\) | 16.2027 | − | 24.1382i | 0.730476 | − | 1.08824i | ||||
\(493\) | 3.65634 | 0.164673 | ||||||||
\(494\) | − | 18.8684i | − | 0.848932i | ||||||
\(495\) | −32.8116 | + | 11.0197i | −1.47477 | + | 0.495300i | ||||
\(496\) | 15.6611i | 0.703205i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 35.7578 | + | 24.0023i | 1.60234 | + | 1.07557i | ||||
\(499\) | −14.9511 | −0.669303 | −0.334651 | − | 0.942342i | \(-0.608619\pi\) | ||||
−0.334651 | + | 0.942342i | \(0.608619\pi\) | |||||||
\(500\) | −23.9626 | − | 4.69175i | −1.07164 | − | 0.209821i | ||||
\(501\) | 29.6871 | + | 19.9274i | 1.32632 | + | 0.890291i | ||||
\(502\) | 18.0154 | 0.804066 | ||||||||
\(503\) | − | 2.45361i | − | 0.109401i | −0.998503 | − | 0.0547006i | \(-0.982580\pi\) | ||
0.998503 | − | 0.0547006i | \(-0.0174204\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −11.5798 | − | 0.747345i | −0.515293 | − | 0.0332564i | ||||
\(506\) | − | 76.3015i | − | 3.39201i | ||||||
\(507\) | −3.96803 | + | 5.91143i | −0.176227 | + | 0.262536i | ||||
\(508\) | 9.81820i | 0.435612i | ||||||||
\(509\) | −9.02660 | −0.400097 | −0.200048 | − | 0.979786i | \(-0.564110\pi\) | ||||
−0.200048 | + | 0.979786i | \(0.564110\pi\) | |||||||
\(510\) | −8.52498 | − | 6.55661i | −0.377493 | − | 0.290331i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −31.8992 | −1.40976 | ||||||||
\(513\) | 3.23648 | − | 15.7472i | 0.142894 | − | 0.695254i | ||||
\(514\) | − | 23.7946i | − | 1.04953i | ||||||
\(515\) | −10.4007 | − | 0.671247i | −0.458308 | − | 0.0295787i | ||||
\(516\) | −24.4702 | − | 16.4255i | −1.07724 | − | 0.723093i | ||||
\(517\) | 31.3383 | 1.37826 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −26.5119 | − | 17.7961i | −1.16374 | − | 0.781160i | ||||
\(520\) | 2.50371 | + | 0.161586i | 0.109795 | + | 0.00708602i | ||||
\(521\) | 21.4758 | 0.940872 | 0.470436 | − | 0.882434i | \(-0.344097\pi\) | ||||
0.470436 | + | 0.882434i | \(0.344097\pi\) | |||||||
\(522\) | −15.2960 | + | 6.25999i | −0.669486 | + | 0.273992i | ||||
\(523\) | −33.4291 | −1.46175 | −0.730876 | − | 0.682510i | \(-0.760888\pi\) | ||||
−0.730876 | + | 0.682510i | \(0.760888\pi\) | |||||||
\(524\) | −16.6992 | −0.729510 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.00396 | 0.0873766 | ||||||||
\(527\) | −5.90878 | −0.257390 | ||||||||
\(528\) | −26.6995 | − | 17.9220i | −1.16195 | − | 0.779955i | ||||
\(529\) | 29.2660 | 1.27243 | ||||||||
\(530\) | −28.7202 | − | 1.85357i | −1.24753 | − | 0.0805139i | ||||
\(531\) | −4.82931 | − | 11.8002i | −0.209574 | − | 0.512084i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 22.9141 | 0.992521 | ||||||||
\(534\) | −18.4051 | + | 27.4193i | −0.796467 | + | 1.18655i | ||||
\(535\) | −1.96332 | − | 0.126711i | −0.0848819 | − | 0.00547818i | ||||
\(536\) | 2.12891i | 0.0919549i | ||||||||
\(537\) | 23.4838 | + | 15.7634i | 1.01340 | + | 0.680243i | ||||
\(538\) | 42.1557 | 1.81746 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 24.4754 | + | 6.69884i | 1.05325 | + | 0.288272i | ||||
\(541\) | −4.71552 | −0.202736 | −0.101368 | − | 0.994849i | \(-0.532322\pi\) | ||||
−0.101368 | + | 0.994849i | \(0.532322\pi\) | |||||||
\(542\) | − | 5.31762i | − | 0.228411i | ||||||
\(543\) | 5.11963 | + | 3.43654i | 0.219705 | + | 0.147476i | ||||
\(544\) | − | 11.0135i | − | 0.472198i | ||||||
\(545\) | −13.1153 | − | 0.846445i | −0.561797 | − | 0.0362577i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − | 1.20004i | − | 0.0513100i | −0.999671 | − | 0.0256550i | \(-0.991833\pi\) | ||
0.999671 | − | 0.0256550i | \(-0.00816713\pi\) | |||||||
\(548\) | 7.01298 | 0.299580 | ||||||||
\(549\) | −14.4759 | + | 5.92439i | −0.617818 | + | 0.252847i | ||||
\(550\) | 6.78327 | − | 52.3330i | 0.289240 | − | 2.23149i | ||||
\(551\) | −8.33282 | −0.354990 | ||||||||
\(552\) | −2.62632 | + | 3.91259i | −0.111783 | + | 0.166531i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 39.1699i | − | 1.66417i | ||||||
\(555\) | −23.3285 | − | 17.9421i | −0.990239 | − | 0.761598i | ||||
\(556\) | 22.0791i | 0.936362i | ||||||||
\(557\) | −11.0766 | −0.469330 | −0.234665 | − | 0.972076i | \(-0.575399\pi\) | ||||
−0.234665 | + | 0.972076i | \(0.575399\pi\) | |||||||
\(558\) | 24.7188 | − | 10.1164i | 1.04643 | − | 0.428260i | ||||
\(559\) | − | 23.2292i | − | 0.982491i | ||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.76179 | − | 10.0735i | 0.285483 | − | 0.425302i | ||||
\(562\) | − | 30.3157i | − | 1.27879i | ||||||
\(563\) | − | 4.49574i | − | 0.189473i | −0.995502 | − | 0.0947364i | \(-0.969799\pi\) | ||
0.995502 | − | 0.0947364i | \(-0.0302008\pi\) | |||||||
\(564\) | −19.0759 | − | 12.8047i | −0.803242 | − | 0.539174i | ||||
\(565\) | −6.70490 | − | 0.432727i | −0.282077 | − | 0.0182049i | ||||
\(566\) | 4.67565 | 0.196532 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 4.24073i | − | 0.177937i | ||||||
\(569\) | − | 25.7605i | − | 1.07993i | −0.841686 | − | 0.539967i | \(-0.818437\pi\) | ||
0.841686 | − | 0.539967i | \(-0.181563\pi\) | |||||||
\(570\) | 19.4285 | + | 14.9425i | 0.813769 | + | 0.625874i | ||||
\(571\) | 12.3178 | 0.515484 | 0.257742 | − | 0.966214i | \(-0.417022\pi\) | ||||
0.257742 | + | 0.966214i | \(0.417022\pi\) | |||||||
\(572\) | 33.5980i | 1.40480i | ||||||||
\(573\) | 0.473415 | + | 0.317778i | 0.0197772 | + | 0.0132754i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 35.8477 | + | 4.64649i | 1.49495 | + | 0.193772i | ||||
\(576\) | 10.6788 | + | 26.0931i | 0.444950 | + | 1.08721i | ||||
\(577\) | 38.6072 | 1.60724 | 0.803619 | − | 0.595145i | \(-0.202905\pi\) | ||||
0.803619 | + | 0.595145i | \(0.202905\pi\) | |||||||
\(578\) | −31.0034 | −1.28957 | ||||||||
\(579\) | 11.5953 | + | 7.78335i | 0.481886 | + | 0.323465i | ||||
\(580\) | 0.847110 | − | 13.1256i | 0.0351743 | − | 0.545010i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −38.0108 | + | 56.6271i | −1.57560 | + | 2.34727i | ||||
\(583\) | − | 32.4668i | − | 1.34464i | ||||||
\(584\) | −1.84857 | −0.0764945 | ||||||||
\(585\) | 6.36765 | + | 18.9599i | 0.263270 | + | 0.783895i | ||||
\(586\) | 60.1920i | 2.48651i | ||||||||
\(587\) | 36.4813i | 1.50574i | 0.658166 | + | 0.752872i | \(0.271332\pi\) | ||||
−0.658166 | + | 0.752872i | \(0.728668\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 13.4661 | 0.554862 | ||||||||
\(590\) | 19.3986 | + | 1.25196i | 0.798629 | + | 0.0515426i | ||||
\(591\) | 9.28128 | − | 13.8269i | 0.381781 | − | 0.568764i | ||||
\(592\) | − | 27.3421i | − | 1.12375i | ||||||
\(593\) | 29.4982i | 1.21135i | 0.795714 | + | 0.605673i | \(0.207096\pi\) | ||||
−0.795714 | + | 0.605673i | \(0.792904\pi\) | |||||||
\(594\) | −11.0406 | + | 53.7181i | −0.453000 | + | 2.20408i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | − | 14.2190i | − | 0.582431i | ||||||
\(597\) | −16.0486 | − | 10.7726i | −0.656826 | − | 0.440893i | ||||
\(598\) | −44.0901 | −1.80298 | ||||||||
\(599\) | 34.1007i | 1.39332i | 0.717403 | + | 0.696658i | \(0.245331\pi\) | ||||
−0.717403 | + | 0.696658i | \(0.754669\pi\) | |||||||
\(600\) | −2.14915 | + | 2.45005i | −0.0877385 | + | 0.100023i | ||||
\(601\) | − | 26.3724i | − | 1.07575i | −0.843023 | − | 0.537877i | \(-0.819227\pi\) | ||
0.843023 | − | 0.537877i | \(-0.180773\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −15.7068 | + | 6.42814i | −0.639630 | + | 0.261774i | ||||
\(604\) | −25.6666 | −1.04436 | ||||||||
\(605\) | 34.8616 | + | 2.24993i | 1.41732 | + | 0.0914725i | ||||
\(606\) | −10.2467 | + | 15.2652i | −0.416245 | + | 0.620107i | ||||
\(607\) | −26.0039 | −1.05546 | −0.527732 | − | 0.849411i | \(-0.676958\pi\) | ||||
−0.527732 | + | 0.849411i | \(0.676958\pi\) | |||||||
\(608\) | 25.0997i | 1.01793i | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.53586 | − | 23.7974i | 0.0621850 | − | 0.963528i | ||||
\(611\) | − | 18.1085i | − | 0.732593i | ||||||
\(612\) | −8.23194 | + | 3.36899i | −0.332757 | + | 0.136183i | ||||
\(613\) | − | 38.0000i | − | 1.53480i | −0.641166 | − | 0.767402i | \(-0.721549\pi\) | ||
0.641166 | − | 0.767402i | \(-0.278451\pi\) | |||||||
\(614\) | 40.2399 | 1.62395 | ||||||||
\(615\) | −18.1464 | + | 23.5942i | −0.731735 | + | 0.951411i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 11.9931 | 0.482824 | 0.241412 | − | 0.970423i | \(-0.422390\pi\) | ||||
0.241412 | + | 0.970423i | \(0.422390\pi\) | |||||||
\(618\) | −9.20338 | + | 13.7109i | −0.370214 | + | 0.551532i | ||||
\(619\) | − | 5.42320i | − | 0.217977i | −0.994043 | − | 0.108988i | \(-0.965239\pi\) | ||
0.994043 | − | 0.108988i | \(-0.0347612\pi\) | |||||||
\(620\) | −1.36896 | + | 21.2114i | −0.0549787 | + | 0.851870i | ||||
\(621\) | −36.7966 | − | 7.56272i | −1.47660 | − | 0.303482i | ||||
\(622\) | 15.8822 | 0.636817 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −10.3561 | + | 15.4281i | −0.414574 | + | 0.617618i | ||||
\(625\) | 24.1738 | + | 6.37379i | 0.966954 | + | 0.254952i | ||||
\(626\) | −31.4780 | −1.25811 | ||||||||
\(627\) | −15.4101 | + | 22.9575i | −0.615422 | + | 0.916833i | ||||
\(628\) | −26.2212 | −1.04634 | ||||||||
\(629\) | 10.3159 | 0.411322 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −8.33250 | −0.331711 | −0.165856 | − | 0.986150i | \(-0.553039\pi\) | ||||
−0.165856 | + | 0.986150i | \(0.553039\pi\) | |||||||
\(632\) | −4.48936 | −0.178577 | ||||||||
\(633\) | 1.16518 | − | 1.73584i | 0.0463118 | − | 0.0689936i | ||||
\(634\) | −3.30240 | −0.131155 | ||||||||
\(635\) | 0.647421 | − | 10.0315i | 0.0256921 | − | 0.398088i | ||||
\(636\) | −13.2658 | + | 19.7629i | −0.526022 | + | 0.783648i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 28.4257 | 1.12538 | ||||||||
\(639\) | 31.2875 | − | 12.8047i | 1.23772 | − | 0.506545i | ||||
\(640\) | −6.68952 | − | 0.431734i | −0.264426 | − | 0.0170658i | ||||
\(641\) | − | 20.2291i | − | 0.799003i | −0.916733 | − | 0.399501i | \(-0.869183\pi\) | ||
0.916733 | − | 0.399501i | \(-0.130817\pi\) | |||||||
\(642\) | −1.73731 | + | 2.58818i | −0.0685662 | + | 0.102147i | ||||
\(643\) | −15.2611 | −0.601838 | −0.300919 | − | 0.953650i | \(-0.597293\pi\) | ||||
−0.300919 | + | 0.953650i | \(0.597293\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 23.9186 | + | 18.3959i | 0.941796 | + | 0.724340i | ||||
\(646\) | −8.59130 | −0.338020 | ||||||||
\(647\) | − | 1.33809i | − | 0.0526056i | −0.999654 | − | 0.0263028i | \(-0.991627\pi\) | ||
0.999654 | − | 0.0263028i | \(-0.00837340\pi\) | |||||||
\(648\) | 2.41513 | − | 2.37454i | 0.0948753 | − | 0.0932808i | ||||
\(649\) | 21.9292i | 0.860796i | ||||||||
\(650\) | −30.2401 | − | 3.91965i | −1.18612 | − | 0.153741i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 39.7424i | 1.55643i | ||||||||
\(653\) | −24.6933 | −0.966325 | −0.483162 | − | 0.875531i | \(-0.660512\pi\) | ||||
−0.483162 | + | 0.875531i | \(0.660512\pi\) | |||||||
\(654\) | −11.6055 | + | 17.2894i | −0.453811 | + | 0.676071i | ||||
\(655\) | 17.0620 | + | 1.10116i | 0.666669 | + | 0.0430260i | ||||
\(656\) | −27.6535 | −1.07969 | ||||||||
\(657\) | −5.58167 | − | 13.6385i | −0.217762 | − | 0.532089i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 26.9484i | 1.04976i | 0.851176 | + | 0.524880i | \(0.175890\pi\) | ||||
−0.851176 | + | 0.524880i | \(0.824110\pi\) | |||||||
\(660\) | −34.5952 | − | 26.6074i | −1.34662 | − | 1.03569i | ||||
\(661\) | − | 23.8228i | − | 0.926599i | −0.886202 | − | 0.463300i | \(-0.846665\pi\) | ||
0.886202 | − | 0.463300i | \(-0.153335\pi\) | |||||||
\(662\) | −62.2985 | −2.42130 | ||||||||
\(663\) | −5.82086 | − | 3.90724i | −0.226064 | − | 0.151745i | ||||
\(664\) | 4.57455i | 0.177527i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −43.1555 | + | 17.6617i | −1.67224 | + | 0.684379i | ||||
\(667\) | 19.4714i | 0.753935i | ||||||||
\(668\) | 45.0844i | 1.74437i | ||||||||
\(669\) | −4.15650 | + | 6.19220i | −0.160699 | + | 0.239404i | ||||
\(670\) | 1.66645 | − | 25.8209i | 0.0643805 | − | 0.997547i | ||||
\(671\) | 26.9018 | 1.03853 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 6.03450i | − | 0.232613i | −0.993213 | − | 0.116307i | \(-0.962895\pi\) | ||
0.993213 | − | 0.116307i | \(-0.0371055\pi\) | |||||||
\(674\) | 46.0737i | 1.77469i | ||||||||
\(675\) | −24.5654 | − | 8.45830i | −0.945521 | − | 0.325560i | ||||
\(676\) | −8.97740 | −0.345285 | ||||||||
\(677\) | 36.7316i | 1.41171i | 0.708357 | + | 0.705854i | \(0.249437\pi\) | ||||
−0.708357 | + | 0.705854i | \(0.750563\pi\) | |||||||
\(678\) | −5.93305 | + | 8.83885i | −0.227858 | + | 0.339454i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0.0735744 | − | 1.14000i | 0.00282145 | − | 0.0437171i | ||||
\(681\) | 5.82108 | + | 3.90739i | 0.223064 | + | 0.149731i | ||||
\(682\) | −45.9369 | −1.75901 | ||||||||
\(683\) | 21.7755 | 0.833217 | 0.416609 | − | 0.909086i | \(-0.363219\pi\) | ||||
0.416609 | + | 0.909086i | \(0.363219\pi\) | |||||||
\(684\) | 18.7606 | − | 7.67794i | 0.717330 | − | 0.293573i | ||||
\(685\) | −7.16534 | − | 0.462443i | −0.273774 | − | 0.0176690i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 12.3279 | + | 8.27508i | 0.470339 | + | 0.315714i | ||||
\(688\) | 28.0338i | 1.06878i | ||||||||
\(689\) | −18.7606 | −0.714723 | ||||||||
\(690\) | 34.9164 | − | 45.3987i | 1.32924 | − | 1.72830i | ||||
\(691\) | − | 43.4413i | − | 1.65258i | −0.563243 | − | 0.826292i | \(-0.690446\pi\) | ||
0.563243 | − | 0.826292i | \(-0.309554\pi\) | |||||||
\(692\) | − | 40.2623i | − | 1.53054i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 25.4694 | 0.966806 | ||||||||
\(695\) | 1.45592 | − | 22.5588i | 0.0552260 | − | 0.855702i | ||||
\(696\) | −1.45761 | − | 0.978419i | −0.0552507 | − | 0.0370869i | ||||
\(697\) | − | 10.4334i | − | 0.395193i | ||||||
\(698\) | − | 36.7203i | − | 1.38988i | ||||||
\(699\) | 8.80291 | − | 13.1143i | 0.332957 | − | 0.496027i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 8.07995i | − | 0.305176i | −0.988290 | − | 0.152588i | \(-0.951239\pi\) | ||
0.988290 | − | 0.152588i | \(-0.0487607\pi\) | |||||||
\(702\) | 31.0405 | + | 6.37970i | 1.17155 | + | 0.240786i | ||||
\(703\) | −23.5100 | −0.886695 | ||||||||
\(704\) | − | 48.4909i | − | 1.82757i | ||||||
\(705\) | 18.6460 | + | 14.3407i | 0.702249 | + | 0.540104i | ||||
\(706\) | 25.9397i | 0.976253i | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 8.96016 | − | 13.3485i | 0.336744 | − | 0.501668i | ||||
\(709\) | −20.2743 | −0.761419 | −0.380710 | − | 0.924695i | \(-0.624320\pi\) | ||||
−0.380710 | + | 0.924695i | \(0.624320\pi\) | |||||||
\(710\) | −3.31952 | + | 51.4345i | −0.124579 | + | 1.93030i | ||||
\(711\) | −13.5554 | − | 33.1218i | −0.508367 | − | 1.24217i | ||||
\(712\) | −3.50780 | −0.131460 | ||||||||
\(713\) | − | 31.4664i | − | 1.17843i | ||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.21549 | − | 34.3280i | 0.0828545 | − | 1.28379i | ||||
\(716\) | 35.6637i | 1.33281i | ||||||||
\(717\) | −25.5305 | − | 17.1373i | −0.953453 | − | 0.640003i | ||||
\(718\) | − | 0.147974i | − | 0.00552235i | ||||||
\(719\) | 30.4253 | 1.13467 | 0.567335 | − | 0.823487i | \(-0.307974\pi\) | ||||
0.567335 | + | 0.823487i | \(0.307974\pi\) | |||||||
\(720\) | −7.68470 | − | 22.8814i | −0.286392 | − | 0.852741i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −19.2845 | −0.717694 | ||||||||
\(723\) | 34.5385 | + | 23.1839i | 1.28450 | + | 0.862217i | ||||
\(724\) | 7.77493i | 0.288953i | ||||||||
\(725\) | −1.73103 | + | 13.3549i | −0.0642887 | + | 0.495987i | ||||
\(726\) | 30.8484 | − | 45.9568i | 1.14489 | − | 1.70562i | ||||
\(727\) | −51.1502 | −1.89706 | −0.948528 | − | 0.316692i | \(-0.897428\pi\) | ||||
−0.948528 | + | 0.316692i | \(0.897428\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 24.8114 | + | 10.6487i | 0.918941 | + | 0.394396i | ||||
\(730\) | 22.4207 | + | 1.44701i | 0.829829 | + | 0.0535562i | ||||
\(731\) | −10.5769 | −0.391199 | ||||||||
\(732\) | −16.3754 | − | 10.9919i | −0.605252 | − | 0.406274i | ||||
\(733\) | −36.5369 | −1.34952 | −0.674761 | − | 0.738037i | \(-0.735753\pi\) | ||||
−0.674761 | + | 0.738037i | \(0.735753\pi\) | |||||||
\(734\) | 21.9252 | 0.809272 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 58.6508 | 2.16190 | ||||||||
\(737\) | 29.1892 | 1.07520 | ||||||||
\(738\) | 17.8629 | + | 43.6471i | 0.657544 | + | 1.60667i | ||||
\(739\) | 16.0866 | 0.591757 | 0.295878 | − | 0.955226i | \(-0.404388\pi\) | ||||
0.295878 | + | 0.955226i | \(0.404388\pi\) | |||||||
\(740\) | 2.39001 | − | 37.0321i | 0.0878584 | − | 1.36133i | ||||
\(741\) | 13.2658 | + | 8.90461i | 0.487330 | + | 0.327119i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −27.5407 | −1.01037 | −0.505186 | − | 0.863011i | \(-0.668576\pi\) | ||||
−0.505186 | + | 0.863011i | \(0.668576\pi\) | |||||||
\(744\) | 2.35555 | + | 1.58116i | 0.0863587 | + | 0.0579681i | ||||
\(745\) | −0.937611 | + | 14.5279i | −0.0343514 | + | 0.532259i | ||||
\(746\) | 43.7326i | 1.60117i | ||||||||
\(747\) | −33.7504 | + | 13.8126i | −1.23486 | + | 0.505378i | ||||
\(748\) | 15.2981 | 0.559353 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 27.9841 | − | 28.0336i | 1.02184 | − | 1.02364i | ||||
\(751\) | −38.2761 | −1.39671 | −0.698357 | − | 0.715749i | \(-0.746085\pi\) | ||||
−0.698357 | + | 0.715749i | \(0.746085\pi\) | |||||||
\(752\) | 21.8540i | 0.796934i | ||||||||
\(753\) | −8.50202 | + | 12.6660i | −0.309831 | + | 0.461575i | ||||
\(754\) | − | 16.4255i | − | 0.598182i | ||||||
\(755\) | 26.2242 | + | 1.69248i | 0.954397 | + | 0.0615956i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 36.0954i | 1.31191i | 0.754800 | + | 0.655955i | \(0.227734\pi\) | ||||
−0.754800 | + | 0.655955i | \(0.772266\pi\) | |||||||
\(758\) | −49.7139 | −1.80569 | ||||||||
\(759\) | 53.6450 | + | 36.0090i | 1.94719 | + | 1.30705i | ||||
\(760\) | −0.167676 | + | 2.59807i | −0.00608226 | + | 0.0942419i | ||||
\(761\) | 30.2188 | 1.09543 | 0.547716 | − | 0.836664i | \(-0.315497\pi\) | ||||
0.547716 | + | 0.836664i | \(0.315497\pi\) | |||||||
\(762\) | −13.2242 | − | 8.87670i | −0.479062 | − | 0.321569i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0.718951i | 0.0260108i | ||||||||
\(765\) | 8.63293 | − | 2.89936i | 0.312124 | − | 0.104826i | ||||
\(766\) | 15.1095i | 0.545930i | ||||||||
\(767\) | 12.6716 | 0.457544 | ||||||||
\(768\) | 12.2246 | − | 18.2118i | 0.441118 | − | 0.657162i | ||||
\(769\) | − | 16.8667i | − | 0.608228i | −0.952636 | − | 0.304114i | \(-0.901640\pi\) | ||
0.952636 | − | 0.304114i | \(-0.0983603\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 16.7292 | + | 11.2294i | 0.602486 | + | 0.404417i | ||||
\(772\) | 17.6093i | 0.633772i | ||||||||
\(773\) | 35.6415i | 1.28194i | 0.767567 | + | 0.640968i | \(0.221467\pi\) | ||||
−0.767567 | + | 0.640968i | \(0.778533\pi\) | |||||||
\(774\) | 44.2473 | − | 18.1085i | 1.59043 | − | 0.650898i | ||||
\(775\) | 2.79740 | − | 21.5819i | 0.100485 | − | 0.775246i | ||||
\(776\) | −7.24441 | −0.260059 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 26.3215i | 0.943671i | ||||||||
\(779\) | 23.7778i | 0.851927i | ||||||||
\(780\) | −15.3748 | + | 19.9905i | −0.550507 | + | 0.715776i | ||||
\(781\) | −58.1441 | −2.08056 | ||||||||
\(782\) | 20.0754i | 0.717894i | ||||||||
\(783\) | 2.81745 | − | 13.7084i | 0.100687 | − | 0.489896i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 26.7908 | + | 1.72905i | 0.956205 | + | 0.0617124i | ||||
\(786\) | 15.0979 | − | 22.4923i | 0.538524 | − | 0.802274i | ||||
\(787\) | −1.63639 | −0.0583311 | −0.0291655 | − | 0.999575i | \(-0.509285\pi\) | ||||
−0.0291655 | + | 0.999575i | \(0.509285\pi\) | |||||||
\(788\) | 20.9983 | 0.748032 | ||||||||
\(789\) | −0.945729 | + | 1.40891i | −0.0336689 | + | 0.0501586i | ||||
\(790\) | 54.4499 | + | 3.51414i | 1.93724 | + | 0.125027i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −5.39121 | + | 2.20640i | −0.191568 | + | 0.0784010i | ||||
\(793\) | − | 15.5449i | − | 0.552017i | ||||||
\(794\) | 33.2320 | 1.17936 | ||||||||
\(795\) | 14.8571 | − | 19.3174i | 0.526928 | − | 0.685119i | ||||
\(796\) | − | 24.3722i | − | 0.863850i | ||||||
\(797\) | 13.2950i | 0.470934i | 0.971882 | + | 0.235467i | \(0.0756620\pi\) | ||||
−0.971882 | + | 0.235467i | \(0.924338\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −8.24529 | −0.291698 | ||||||||
\(800\) | 40.2269 | + | 5.21411i | 1.42223 | + | 0.184347i | ||||
\(801\) | −10.5916 | − | 25.8800i | −0.374236 | − | 0.914426i | ||||
\(802\) | 20.9061i | 0.738220i | ||||||||
\(803\) | 25.3455i | 0.894424i | ||||||||
\(804\) | −17.7678 | − | 11.9266i | −0.626621 | − | 0.420618i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 26.5442i | 0.934980i | ||||||||
\(807\) | −19.8946 | + | 29.6382i | −0.700322 | + | 1.04331i | ||||
\(808\) | −1.95291 | −0.0687030 | ||||||||
\(809\) | − | 35.5273i | − | 1.24907i | −0.780995 | − | 0.624537i | \(-0.785288\pi\) | ||
0.780995 | − | 0.624537i | \(-0.214712\pi\) | |||||||
\(810\) | −31.1511 | + | 26.9095i | −1.09454 | + | 0.945505i | ||||
\(811\) | 31.4512i | 1.10440i | 0.833711 | + | 0.552201i | \(0.186212\pi\) | ||||
−0.833711 | + | 0.552201i | \(0.813788\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 3.73864 | + | 2.50955i | 0.131120 | + | 0.0880138i | ||||
\(814\) | 80.1993 | 2.81098 | ||||||||
\(815\) | 2.62065 | − | 40.6058i | 0.0917974 | − | 1.42236i | ||||
\(816\) | 7.02481 | + | 4.71539i | 0.245918 | + | 0.165072i | ||||
\(817\) | 24.1047 | 0.843317 | ||||||||
\(818\) | 37.1578i | 1.29919i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −37.4539 | − | 2.41723i | −1.30795 | − | 0.0844134i | ||||
\(821\) | 48.9716i | 1.70912i | 0.519351 | + | 0.854561i | \(0.326174\pi\) | ||||
−0.519351 | + | 0.854561i | \(0.673826\pi\) | |||||||
\(822\) | −6.34049 | + | 9.44583i | −0.221150 | + | 0.329461i | ||||
\(823\) | − | 38.8485i | − | 1.35417i | −0.735903 | − | 0.677087i | \(-0.763242\pi\) | ||
0.735903 | − | 0.677087i | \(-0.236758\pi\) | |||||||
\(824\) | −1.75405 | −0.0611054 | ||||||||
\(825\) | 33.5923 | + | 29.4666i | 1.16953 | + | 1.02590i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −44.6506 | −1.55265 | −0.776327 | − | 0.630330i | \(-0.782919\pi\) | ||||
−0.776327 | + | 0.630330i | \(0.782919\pi\) | |||||||
\(828\) | −17.9411 | − | 43.8382i | −0.623497 | − | 1.52348i | ||||
\(829\) | − | 42.1358i | − | 1.46344i | −0.681606 | − | 0.731719i | \(-0.738718\pi\) | ||
0.681606 | − | 0.731719i | \(-0.261282\pi\) | |||||||
\(830\) | 3.58083 | − | 55.4833i | 0.124292 | − | 1.92585i | ||||
\(831\) | 27.5390 | + | 18.4855i | 0.955319 | + | 0.641255i | ||||
\(832\) | −28.0200 | −0.971419 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −29.7385 | − | 19.9619i | −1.02976 | − | 0.691223i | ||||
\(835\) | 2.97290 | − | 46.0638i | 0.102882 | − | 1.59410i | ||||
\(836\) | −34.8643 | −1.20581 | ||||||||
\(837\) | −4.55309 | + | 22.1532i | −0.157378 | + | 0.765725i | ||||
\(838\) | −6.93381 | −0.239525 | ||||||||
\(839\) | 25.5067 | 0.880588 | 0.440294 | − | 0.897854i | \(-0.354874\pi\) | ||||
0.440294 | + | 0.897854i | \(0.354874\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.7460 | 0.749863 | ||||||||
\(842\) | 10.4816 | 0.361220 | ||||||||
\(843\) | 21.3140 | + | 14.3069i | 0.734092 | + | 0.492757i | ||||
\(844\) | 2.63614 | 0.0907397 | ||||||||
\(845\) | 9.17243 | + | 0.591978i | 0.315541 | + | 0.0203647i | ||||
\(846\) | 34.4934 | − | 14.1167i | 1.18591 | − | 0.485342i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 22.6410 | 0.777494 | ||||||||
\(849\) | −2.20659 | + | 3.28729i | −0.0757299 | + | 0.112820i | ||||
\(850\) | −1.78472 | + | 13.7691i | −0.0612154 | + | 0.472277i | ||||
\(851\) | 54.9360i | 1.88318i | ||||||||
\(852\) | 35.3929 | + | 23.7574i | 1.21254 | + | 0.813915i | ||||
\(853\) | −6.38527 | −0.218628 | −0.109314 | − | 0.994007i | \(-0.534865\pi\) | ||||
−0.109314 | + | 0.994007i | \(0.534865\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −19.6745 | + | 6.60765i | −0.672853 | + | 0.225977i | ||||
\(856\) | −0.331111 | −0.0113171 | ||||||||
\(857\) | − | 55.7512i | − | 1.90442i | −0.305437 | − | 0.952212i | \(-0.598803\pi\) | ||
0.305437 | − | 0.952212i | \(-0.401197\pi\) | |||||||
\(858\) | −45.2534 | − | 30.3762i | −1.54493 | − | 1.03703i | ||||
\(859\) | − | 27.2608i | − | 0.930128i | −0.885277 | − | 0.465064i | \(-0.846031\pi\) | ||
0.885277 | − | 0.465064i | \(-0.153969\pi\) | |||||||
\(860\) | −2.45047 | + | 37.9689i | −0.0835603 | + | 1.29473i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 26.8793i | − | 0.915513i | ||||||
\(863\) | −22.1972 | −0.755602 | −0.377801 | − | 0.925887i | \(-0.623320\pi\) | ||||
−0.377801 | + | 0.925887i | \(0.623320\pi\) | |||||||
\(864\) | −41.2916 | − | 8.48658i | −1.40477 | − | 0.288719i | ||||
\(865\) | −2.65494 | + | 41.1370i | −0.0902705 | + | 1.39870i | ||||
\(866\) | 9.74677 | 0.331209 | ||||||||
\(867\) | 14.6315 | − | 21.7974i | 0.496910 | − | 0.740279i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 61.5529i | 2.08804i | ||||||||
\(870\) | 16.9130 | + | 13.0079i | 0.573406 | + | 0.441009i | ||||
\(871\) | − | 16.8667i | − | 0.571507i | ||||||
\(872\) | −2.21187 | −0.0749033 | ||||||||
\(873\) | −21.8741 | − | 53.4482i | −0.740327 | − | 1.80895i | ||||
\(874\) | − | 45.7519i | − | 1.54758i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 10.3561 | − | 15.4281i | 0.349899 | − | 0.521267i | ||||
\(877\) | − | 28.3910i | − | 0.958697i | −0.877625 | − | 0.479348i | \(-0.840873\pi\) | ||
0.877625 | − | 0.479348i | \(-0.159127\pi\) | |||||||
\(878\) | − | 58.5596i | − | 1.97629i | ||||||
\(879\) | −42.3189 | − | 28.4065i | −1.42738 | − | 0.958126i | ||||
\(880\) | −2.67372 | + | 41.4281i | −0.0901312 | + | 1.39654i | ||||
\(881\) | 20.0653 | 0.676017 | 0.338009 | − | 0.941143i | \(-0.390247\pi\) | ||||
0.338009 | + | 0.941143i | \(0.390247\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 31.1643i | 1.04876i | 0.851484 | + | 0.524381i | \(0.175703\pi\) | ||||
−0.851484 | + | 0.524381i | \(0.824297\pi\) | |||||||
\(884\) | − | 8.83985i | − | 0.297316i | ||||||
\(885\) | −10.0350 | + | 13.0477i | −0.337324 | + | 0.438593i | ||||
\(886\) | −58.2421 | −1.95668 | ||||||||
\(887\) | 12.7773i | 0.429020i | 0.976722 | + | 0.214510i | \(0.0688154\pi\) | ||||
−0.976722 | + | 0.214510i | \(0.931185\pi\) | |||||||
\(888\) | −4.11246 | − | 2.76048i | −0.138005 | − | 0.0926356i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 42.5449 | + | 2.74580i | 1.42611 | + | 0.0920394i | ||||
\(891\) | −32.5570 | − | 33.1135i | −1.09070 | − | 1.10934i | ||||
\(892\) | −9.40378 | −0.314862 | ||||||||
\(893\) | 18.7911 | 0.628819 | ||||||||
\(894\) | 19.1516 | + | 12.8555i | 0.640525 | + | 0.429951i | ||||
\(895\) | 2.35170 | − | 36.4385i | 0.0786085 | − | 1.21800i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 20.8075 | − | 30.9983i | 0.694742 | − | 1.03500i | ||||
\(898\) | 7.26569i | 0.242459i | ||||||||
\(899\) | 11.7226 | 0.390972 | ||||||||
\(900\) | −8.40805 | − | 31.6623i | −0.280268 | − | 1.05541i | ||||
\(901\) | 8.54220i | 0.284582i | ||||||||
\(902\) | − | 81.1129i | − | 2.70076i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −1.13077 | −0.0376088 | ||||||||
\(905\) | 0.512686 | − | 7.94384i | 0.0170423 | − | 0.264062i | ||||
\(906\) | 23.2054 | − | 34.5705i | 0.770946 | − | 1.14853i | ||||
\(907\) | 0.340207i | 0.0112964i | 0.999984 | + | 0.00564819i | \(0.00179788\pi\) | ||||
−0.999984 | + | 0.00564819i | \(0.998202\pi\) | |||||||
\(908\) | 8.84019i | 0.293372i | ||||||||
\(909\) | −5.89670 | − | 14.4083i | −0.195581 | − | 0.477892i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 34.4235i | − | 1.14050i | −0.821471 | − | 0.570250i | \(-0.806846\pi\) | ||
0.821471 | − | 0.570250i | \(-0.193154\pi\) | |||||||
\(912\) | −16.0096 | − | 10.7464i | −0.530130 | − | 0.355848i | ||||
\(913\) | 62.7211 | 2.07576 | ||||||||
\(914\) | 59.8089i | 1.97830i | ||||||||
\(915\) | 16.0063 | + | 12.3105i | 0.529153 | + | 0.406974i | ||||
\(916\) | 18.7218i | 0.618585i | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 2.90484 | − | 14.1336i | 0.0958741 | − | 0.466477i | ||||
\(919\) | −39.3723 | −1.29877 | −0.649386 | − | 0.760459i | \(-0.724974\pi\) | ||||
−0.649386 | + | 0.760459i | \(0.724974\pi\) | |||||||
\(920\) | 6.07094 | + | 0.391811i | 0.200153 | + | 0.0129176i | ||||
\(921\) | −18.9905 | + | 28.2913i | −0.625757 | + | 0.932230i | ||||
\(922\) | 57.9376 | 1.90807 | ||||||||
\(923\) | 33.5980i | 1.10589i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.88386 | + | 37.6790i | −0.160580 | + | 1.23888i | ||||
\(926\) | 81.0945i | 2.66493i | ||||||||
\(927\) | −5.29628 | − | 12.9412i | −0.173953 | − | 0.425044i | ||||
\(928\) | 21.8500i | 0.717262i | ||||||||
\(929\) | −44.9750 | −1.47558 | −0.737791 | − | 0.675030i | \(-0.764131\pi\) | ||||
−0.737791 | + | 0.675030i | \(0.764131\pi\) | |||||||
\(930\) | −27.3320 | − | 21.0212i | −0.896253 | − | 0.689313i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 19.9160 | 0.652369 | ||||||||
\(933\) | −7.49529 | + | 11.1662i | −0.245385 | + | 0.365565i | ||||
\(934\) | 41.9699i | 1.37330i | ||||||||
\(935\) | −15.6304 | − | 1.00877i | −0.511169 | − | 0.0329903i | ||||
\(936\) | 1.27495 | + | 3.11527i | 0.0416730 | + | 0.101826i | ||||
\(937\) | −30.0270 | −0.980941 | −0.490470 | − | 0.871458i | \(-0.663175\pi\) | ||||
−0.490470 | + | 0.871458i | \(0.663175\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 14.8554 | − | 22.1311i | 0.484789 | − | 0.722221i | ||||
\(940\) | −1.91029 | + | 29.5990i | −0.0623067 | + | 0.965414i | ||||
\(941\) | −4.09261 | −0.133415 | −0.0667077 | − | 0.997773i | \(-0.521250\pi\) | ||||
−0.0667077 | + | 0.997773i | \(0.521250\pi\) | |||||||
\(942\) | 23.7067 | − | 35.3174i | 0.772407 | − | 1.15070i | ||||
\(943\) | 55.5618 | 1.80934 | ||||||||
\(944\) | −15.2925 | −0.497728 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −82.2282 | −2.67347 | ||||||||
\(947\) | −1.75027 | −0.0568760 | −0.0284380 | − | 0.999596i | \(-0.509053\pi\) | ||||
−0.0284380 | + | 0.999596i | \(0.509053\pi\) | |||||||
\(948\) | 25.1502 | − | 37.4679i | 0.816842 | − | 1.21690i | ||||
\(949\) | 14.6457 | 0.475419 | ||||||||
\(950\) | 4.06738 | − | 31.3799i | 0.131963 | − | 1.01810i | ||||
\(951\) | 1.55851 | − | 2.32181i | 0.0505380 | − | 0.0752897i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −33.2268 | −1.07632 | −0.538161 | − | 0.842842i | \(-0.680881\pi\) | ||||
−0.538161 | + | 0.842842i | \(0.680881\pi\) | |||||||
\(954\) | −14.6250 | − | 35.7355i | −0.473503 | − | 1.15698i | ||||
\(955\) | 0.0474083 | − | 0.734570i | 0.00153410 | − | 0.0237701i | ||||
\(956\) | − | 38.7718i | − | 1.25397i | ||||||
\(957\) | −13.4150 | + | 19.9851i | −0.433644 | + | 0.646027i | ||||
\(958\) | 13.5385 | 0.437409 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 22.1899 | − | 28.8516i | 0.716177 | − | 0.931183i | ||||
\(961\) | 12.0558 | 0.388897 | ||||||||
\(962\) | − | 46.3425i | − | 1.49414i | ||||||
\(963\) | −0.999773 | − | 2.44289i | −0.0322172 | − | 0.0787210i | ||||
\(964\) | 52.4519i | 1.68936i | ||||||||
\(965\) | 1.16117 | − | 17.9918i | 0.0373794 | − | 0.579178i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 4.20353i | 0.135176i | 0.997713 | + | 0.0675882i | \(0.0215304\pi\) | ||||
−0.997713 | + | 0.0675882i | \(0.978470\pi\) | |||||||
\(968\) | 5.87934 | 0.188969 | ||||||||
\(969\) | 4.05450 | − | 6.04025i | 0.130249 | − | 0.194041i | ||||
\(970\) | 87.8650 | + | 5.67071i | 2.82118 | + | 0.182075i | ||||
\(971\) | −51.5343 | −1.65381 | −0.826907 | − | 0.562339i | \(-0.809902\pi\) | ||||
−0.826907 | + | 0.562339i | \(0.809902\pi\) | |||||||
\(972\) | 6.28776 | + | 33.4592i | 0.201680 | + | 1.07320i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | − | 40.5821i | − | 1.30033i | ||||||
\(975\) | 17.0270 | − | 19.4110i | 0.545302 | − | 0.621650i | ||||
\(976\) | 18.7602i | 0.600498i | ||||||||
\(977\) | −49.6186 | −1.58744 | −0.793720 | − | 0.608284i | \(-0.791858\pi\) | ||||
−0.793720 | + | 0.608284i | \(0.791858\pi\) | |||||||
\(978\) | −53.5293 | − | 35.9314i | −1.71168 | − | 1.14896i | ||||
\(979\) | 48.0949i | 1.53712i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −6.67862 | − | 16.3189i | −0.213232 | − | 0.521021i | ||||
\(982\) | − | 23.8614i | − | 0.761448i | ||||||
\(983\) | 21.7102i | 0.692447i | 0.938152 | + | 0.346224i | \(0.112536\pi\) | ||||
−0.938152 | + | 0.346224i | \(0.887464\pi\) | |||||||
\(984\) | −2.79192 | + | 4.15931i | −0.0890033 | + | 0.132594i | ||||
\(985\) | −21.4544 | − | 1.38464i | −0.683595 | − | 0.0441184i | ||||
\(986\) | −7.47897 | −0.238179 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 20.1461i | 0.640931i | ||||||||
\(989\) | − | 56.3257i | − | 1.79105i | ||||||
\(990\) | 67.1154 | − | 22.5406i | 2.13307 | − | 0.716387i | ||||
\(991\) | −16.3479 | −0.519309 | −0.259655 | − | 0.965702i | \(-0.583609\pi\) | ||||
−0.259655 | + | 0.965702i | \(0.583609\pi\) | |||||||
\(992\) | − | 35.3104i | − | 1.12111i | ||||||
\(993\) | 29.4006 | − | 43.8000i | 0.933000 | − | 1.38995i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.60713 | + | 24.9017i | −0.0509493 | + | 0.789437i | ||||
\(996\) | −38.1790 | − | 25.6275i | −1.20975 | − | 0.812040i | ||||
\(997\) | −32.9021 | −1.04202 | −0.521010 | − | 0.853550i | \(-0.674445\pi\) | ||||
−0.521010 | + | 0.853550i | \(0.674445\pi\) | |||||||
\(998\) | 30.5821 | 0.968060 | ||||||||
\(999\) | 7.94906 | − | 38.6763i | 0.251497 | − | 1.22366i |
(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 | 735.2.g.c.734.7 | yes | 32 | |
3.2 | odd | 2 | inner | 735.2.g.c.734.28 | yes | 32 | |
5.4 | even | 2 | inner | 735.2.g.c.734.26 | yes | 32 | |
7.2 | even | 3 | 735.2.p.g.374.27 | 64 | |||
7.3 | odd | 6 | 735.2.p.g.509.28 | 64 | |||
7.4 | even | 3 | 735.2.p.g.509.25 | 64 | |||
7.5 | odd | 6 | 735.2.p.g.374.26 | 64 | |||
7.6 | odd | 2 | inner | 735.2.g.c.734.6 | yes | 32 | |
15.14 | odd | 2 | inner | 735.2.g.c.734.5 | ✓ | 32 | |
21.2 | odd | 6 | 735.2.p.g.374.5 | 64 | |||
21.5 | even | 6 | 735.2.p.g.374.8 | 64 | |||
21.11 | odd | 6 | 735.2.p.g.509.7 | 64 | |||
21.17 | even | 6 | 735.2.p.g.509.6 | 64 | |||
21.20 | even | 2 | inner | 735.2.g.c.734.25 | yes | 32 | |
35.4 | even | 6 | 735.2.p.g.509.8 | 64 | |||
35.9 | even | 6 | 735.2.p.g.374.6 | 64 | |||
35.19 | odd | 6 | 735.2.p.g.374.7 | 64 | |||
35.24 | odd | 6 | 735.2.p.g.509.5 | 64 | |||
35.34 | odd | 2 | inner | 735.2.g.c.734.27 | yes | 32 | |
105.44 | odd | 6 | 735.2.p.g.374.28 | 64 | |||
105.59 | even | 6 | 735.2.p.g.509.27 | 64 | |||
105.74 | odd | 6 | 735.2.p.g.509.26 | 64 | |||
105.89 | even | 6 | 735.2.p.g.374.25 | 64 | |||
105.104 | even | 2 | inner | 735.2.g.c.734.8 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
735.2.g.c.734.5 | ✓ | 32 | 15.14 | odd | 2 | inner | |
735.2.g.c.734.6 | yes | 32 | 7.6 | odd | 2 | inner | |
735.2.g.c.734.7 | yes | 32 | 1.1 | even | 1 | trivial | |
735.2.g.c.734.8 | yes | 32 | 105.104 | even | 2 | inner | |
735.2.g.c.734.25 | yes | 32 | 21.20 | even | 2 | inner | |
735.2.g.c.734.26 | yes | 32 | 5.4 | even | 2 | inner | |
735.2.g.c.734.27 | yes | 32 | 35.34 | odd | 2 | inner | |
735.2.g.c.734.28 | yes | 32 | 3.2 | odd | 2 | inner | |
735.2.p.g.374.5 | 64 | 21.2 | odd | 6 | |||
735.2.p.g.374.6 | 64 | 35.9 | even | 6 | |||
735.2.p.g.374.7 | 64 | 35.19 | odd | 6 | |||
735.2.p.g.374.8 | 64 | 21.5 | even | 6 | |||
735.2.p.g.374.25 | 64 | 105.89 | even | 6 | |||
735.2.p.g.374.26 | 64 | 7.5 | odd | 6 | |||
735.2.p.g.374.27 | 64 | 7.2 | even | 3 | |||
735.2.p.g.374.28 | 64 | 105.44 | odd | 6 | |||
735.2.p.g.509.5 | 64 | 35.24 | odd | 6 | |||
735.2.p.g.509.6 | 64 | 21.17 | even | 6 | |||
735.2.p.g.509.7 | 64 | 21.11 | odd | 6 | |||
735.2.p.g.509.8 | 64 | 35.4 | even | 6 | |||
735.2.p.g.509.25 | 64 | 7.4 | even | 3 | |||
735.2.p.g.509.26 | 64 | 105.74 | odd | 6 | |||
735.2.p.g.509.27 | 64 | 105.59 | even | 6 | |||
735.2.p.g.509.28 | 64 | 7.3 | odd | 6 |